ó
~9­\c           @   sx  d  Z  d d l m Z e d  Z d d l m Z e rkd d l m Z m Z m Z m	 Z	 d d l
 m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m  Z  m! Z! m" Z" m# Z# m$ Z$ m% Z% m& Z& m' Z' m( Z( m) Z) m* Z* m+ Z+ m, Z, m- Z- m. Z. m/ Z/ m0 Z0 m1 Z1 m2 Z2 m3 Z3 m4 Z4 m5 Z5 m6 Z6 m7 Z7 m8 Z8 m9 Z9 m: Z: m; Z; m< Z< m= Z= m> Z> m? Z? m@ Z@ mA ZA mB ZB mC ZC mD ZD mE ZE mF ZF mG ZG mH ZH mI ZI mJ ZJ mK ZK mL ZL mM ZM mN ZN mO ZO mP ZP mQ ZQ mR ZR mS ZS mT ZT mU ZU mV ZV mW ZW mX ZX mY ZY mZ ZZ m[ Z[ m\ Z\ m] Z] m^ Z^ m_ Z_ m` Z` ma Za mb Zb mc Zc md Zd me Ze mf Zf mg Zg mh Zh mi Zi mj Zj mk Zk ml Zl mm Zm mn Zn mo Zo mp Zp mq Zq mr Zr ms Zs mt Zt mu Zu mv Zv mw Zw mx Zx my Zy mz Zz m{ Z{ m| Z| m} Z} m~ Z~ m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m Z m  Z  m¡ Z¡ m¢ Z¢ m£ Z£ m€ Z€ m¥ Z¥ mŠ ZŠ m§ Z§ mš Zš m© Z© mª Zª m« Z« m¬ Z¬ m­ Z­ m® Z® m¯ Z¯ m° Z° m± Z± m² Z² m³ Z³ mŽ ZŽ mµ Zµ m¶ Z¶ m· Z· mž Zž m¹ Z¹ mº Zº m» Z» mŒ ZŒ mœ Zœ mŸ ZŸ m¿ Z¿ mÀ ZÀ mÁ ZÁ mÂ ZÂ mÃ ZÃ mÄ ZÄ mÅ ZÅ mÆ ZÆ mÇ ZÇ mÈ ZÈ mÉ ZÉ mÊ ZÊ mË ZË mÌ ZÌ mÍ ZÍ mÎ ZÎ mÏ ZÏ mÐ ZÐ mÑ ZÑ mÒ ZÒ mÓ ZÓ mÔ ZÔ mÕ ZÕ mÖ ZÖ m× Z× mØ ZØ mÙ ZÙ mÚ ZÚ mÛ ZÛ mÜ ZÜ mÝ ZÝ mÞ ZÞ mß Zß mà Zà má Zá mâ Zâ mã Zã mä Zä må Zå mæ Zæ mç Zç mè Zè mé Zé mê Zê më Zë mì Zì mí Zí mî Zî mï Zï mð Zð mñ Zñ mò Zò mó Zó mô Zô mõ Zõ mö Zö m÷ Z÷ mø Zø mù Zù mú Zú mû Zû mü Zü mý Zý mþ Zþ mÿ Zÿ m Z mZmZmZmZmZmZmZmZm	Z	m
Z
mZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZm Z m!Z!m"Z"m#Z#m$Z$m%Z%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+m,Z,m-Z-m.Z.m/Z/m0Z0m1Z1m2Z2m3Z3m4Z4m5Z5m6Z6m7Z7m8Z8m9Z9m:Z:m;Z;m<Z<m=Z=m>Z>m?Z?m@Z@mAZAmBZBmCZCmDZDmEZEmFZFmGZGmHZHmIZImJZJmKZKmLZLmMZMmNZNmOZOmPZPmQZQmRZRmSZSmTZTmUZUmVZVmWZWmXZXmYZYmZZZm[Z[m\Z\m]Z]m^Z^m_Z_m`Z`maZambZbmcZcmdZdmeZemfZfmgZgmhZhmiZimjZjmkZkmlZlmmZmmnZnmoZompZpmqZqmrZrmsZsmtZtmuZumvZvmwZwmxZxmyZymzZzm{Z{m|Z|m}Z}m~Z~mZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZm Z m¡Z¡m¢Z¢m£Z£m€Z€m¥Z¥mŠZŠm§Z§mšZšm©Z©mªZªm«Z«m¬Z¬mJZJm­Z­m®Z®m¯Z¯m°Z°m±Z±m²Z²m³Z³mŽZŽmµZµm¶Z¶m·Z·mžZžm¹Z¹mºZºm»Z»mŒZŒmœZœmŸZŸm¿Z¿mÀZÀmÁZÁmÂZÂmÃZÃmÄZÄmÅZÅmÆZÆmÇZÇmÈZÈmÉZÉmÂZÂmÊZÊmËZËmÌZÌmÍZÍmÎZÎmÏZÏmÐZÐmÑZÑmÒZÒmÓZÓmÔZÔmÕZÕmÖZÖm×Z×mØZØmÙZÙmÚZÚmÛZÛmÜZÜmÝZÝmÞZßmàZámâZâmãZãmäZäd d låmæZæmçZçmèZèméZémêZêmëZëmìZìmíZímîZîmïZïmðZðmñZñmòZòmóZómôZômõZõd d löm÷Z÷d d	 lømùZùmúZúd d
 lûmüZümýZýmþZþmÿZÿm Z mZmèZèmZd d lmZmZmZmZmZm	Z	m
Z
mZmZmZmZmZd d lmZmZmZmZmZmZmZd d låmZg  d D] Ze÷e ^ qç\ ZZZZZZ Z!Z"Z#Z$Z%Z&Z'Z(Z)Z*Z+Z,Z-Z.Z/Z0Z1Z2Z3Z4Z5Z6Z7Z8Z9g  d d d d d d d d d d d d d d d d d d d d  d! d" d# d$ d% d& d' d( d) d* g D] Ze÷e ^ qœ\ Z:Z;Z<Z=Z>Z?Z@ZAZBZCZDZEZFZGZHZIZBZCZJZKZLZMZNZOZPZQZRZSZTZUeùd+  \	 ZZVZWZXZYZZZ[Z\Z]e^Z_e^Z`eaZbn  d,   Zcd- S(.   s   
This code is automatically generated. Never edit it manually.
For details of generating the code see `rubi_parsing_guide.md` in `parsetools`.
iÿÿÿÿ(   t   import_modulet   matchpy(   t   doctest_depends_on(   t   Patternt   ReplacementRulet   CustomConstraintt   is_match(Ú  t   Intt   Sumt   Sett   Witht   Modulet   Scant   MapAndt   FalseQt   ZeroQt	   NegativeQt   NonzeroQt   FreeQt   NFreeQt   Listt   Logt	   PositiveQt   PositiveIntegerQt   NegativeIntegerQt   IntegerQt	   IntegersQt   ComplexNumberQt   PureComplexNumberQt   RealNumericQt   PositiveOrZeroQt   NegativeOrZeroQt   FractionOrNegativeQt   NegQt   Equalt   Unequalt   IntPartt   FracPartt	   RationalQt   ProductQt   SumQt   NonsumQt   Substt   Firstt   Restt   SqrtNumberQt   SqrtNumberSumQt   LinearQt   Sqrtt   ArcCosht   Coefficientt   Denominatort   Hypergeometric2F1t   Nott   Simplifyt   FractionalPartt   IntegerPartt   AppellF1t
   EllipticPit	   EllipticEt	   EllipticFt   ArcTant   ArcCott   ArcCotht   ArcTanht   ArcSint   ArcSinht   ArcCost   ArcCsct   ArcSect   ArcCscht   ArcSecht   Sinht   Tanht   Cosht   Secht   Cscht   Cotht	   LessEqualt   Lesst   Greatert   GreaterEqualt	   FractionQt   IntLinearcQt   Expandt   IndependentQt   PowerQt   IntegerPowerQt   PositiveIntegerPowerQt   FractionalPowerQt   AtomQt   ExpQt   LogQt   Headt   MemberQt   TrigQt   SinQt   CosQt   TanQt   CotQt   SecQt   CscQt   Sint   Cost   Tant   Cott   Sect   Csct   HyperbolicQt   SinhQt   CoshQt   TanhQt   CothQt   SechQt   CschQt   InverseTrigQt   SinCosQt	   SinhCoshQt	   LeafCountt	   Numeratort   NumberQt   NumericQt   Lengtht   ListQt   Imt   Ret   InverseHyperbolicQt   InverseFunctionQt   TrigHyperbolicFreeQt   InverseFunctionFreeQt   RealQt   EqQt   FractionalPowerFreeQt   ComplexFreeQt   PolynomialQt   FactorSquareFreet   PowerOfLinearQt   Exponentt
   QuadraticQt   LinearPairQt   BinomialPartst   TrinomialPartst   PolyQt   EvenQt   OddQt   PerfectSquareQt   NiceSqrtAuxQt	   NiceSqrtQt   Togethert   PosAuxt   PosQt   CoefficientListt
   ReplaceAllt   ExpandLinearProductt   GCDt   ContentFactort   NumericFactort   NonnumericFactorst   MakeAssocListt   GensymSubstt   KernelSubstt   ExpandExpressiont   Apartt
   SmartApartt   MatchQt   PolynomialQuotientRemaindert   FreeFactorst   NonfreeFactorst   RemoveContentAuxt   RemoveContentt	   FreeTermst   NonfreeTermst   ExpandAlgebraicFunctiont   CollectReciprocalst   ExpandCleanupt   AlgebraicFunctionQt   Coefft   LeadTermt   RemainingTermst
   LeadFactort   RemainingFactorst   LeadBaset
   LeadDegreet   Numert   Denomt	   hypergeomt   Expont   MergeMonomialst   PolynomialDividet	   BinomialQt
   TrinomialQt   GeneralizedBinomialQt   GeneralizedTrinomialQt   FactorSquareFreeListt   PerfectPowerTestt   SquareFreeFactorTestt   RationalFunctionQt   RationalFunctionFactorst   NonrationalFunctionFactorst   Reverset   RationalFunctionExponentst   RationalFunctionExpandt   ExpandIntegrandt   SimplerQt   SimplerSqrtQt   SumSimplerQt   BinomialDegreet   TrinomialDegreet   CancelCommonFactorst   SimplerIntegrandQt   GeneralizedBinomialDegreet   GeneralizedBinomialPartst   GeneralizedTrinomialDegreet   GeneralizedTrinomialPartst	   MonomialQt   MonomialSumQt   MinimumMonomialExponentt   MonomialExponentt   LinearMatchQt   PowerOfLinearMatchQt   QuadraticMatchQt   CubicMatchQt   BinomialMatchQt   TrinomialMatchQt   GeneralizedBinomialMatchQt   GeneralizedTrinomialMatchQt   QuotientOfLinearsMatchQt   PolynomialTermQt   PolynomialTermst   NonpolynomialTermst   PseudoBinomialPartst   NormalizePseudoBinomialt   PseudoBinomialPairQt   PseudoBinomialQt   PolynomialGCDt   PolyGCDt   AlgebraicFunctionFactorst   NonalgebraicFunctionFactorst   QuotientOfLinearsPt   QuotientOfLinearsPartst   QuotientOfLinearsQt   Flattent   Sortt   AbsurdNumberQt   AbsurdNumberFactorst   NonabsurdNumberFactorst   SumSimplerAuxQt   Prependt   Dropt   CombineExponentst   FactorIntegert   FactorAbsurdNumbert   SubstForInverseFunctiont   SubstForFractionalPowert*   SubstForFractionalPowerOfQuotientOfLinearst"   FractionalPowerOfQuotientOfLinearst   SubstForFractionalPowerQt   SubstForFractionalPowerAuxQt   FractionalPowerOfSquareQt   FractionalPowerSubexpressionQt   Applyt   FactorNumericGcdt   MergeableFactorQt   MergeFactort   MergeFactorst   TrigSimplifyQt   TrigSimplifyt   TrigSimplifyRecurt   Ordert   FactorOrdert   Smallestt   OrderedQt   MinimumDegreet   PositiveFactorst   Signt   NonpositiveFactorst   PolynomialInAuxQt   PolynomialInQt   ExponentInAuxt
   ExponentInt   PolynomialInSubstAuxt   PolynomialInSubstt   Distribt   DistributeDegreet   FunctionOfPowert   DivideDegreesOfFactorst   MonomialFactort   FullSimplifyt   FunctionOfLinearSubstt   FunctionOfLineart   NormalizeIntegrandt   NormalizeIntegrandAuxt   NormalizeIntegrandFactort   NormalizeIntegrandFactorBaset   NormalizeTogethert   NormalizeLeadTermSignst   AbsorbMinusSignt   NormalizeSumFactorst   SignOfFactort   NormalizePowerOfLineart   SimplifyIntegrandt   SimplifyTermt   TogetherSimplifyt   SmartSimplifyt   SubstForExpnt   ExpandToSumt   UnifySumt
   UnifyTermst	   UnifyTermt	   CalculusQt   FunctionOfInverseLineart   PureFunctionOfSinhQt   PureFunctionOfTanhQt   PureFunctionOfCoshQt   IntegerQuotientQt   OddQuotientQt   EvenQuotientQt   FindTrigFactort   FunctionOfSinhQt   FunctionOfCoshQt   OddHyperbolicPowerQt   FunctionOfTanhQt   FunctionOfTanhWeightt   FunctionOfHyperbolicQt   SmartNumeratort   SmartDenominatort   SubstForAuxt   ActivateTrigt
   ExpandTrigt
   TrigExpandt   SubstForTrigt   SubstForHyperbolict   InertTrigFreeQt   LCMt   SubstForFractionalPowerOfLineart   FractionalPowerOfLineart   InverseFunctionOfLineart
   InertTrigQt   InertReciprocalQt   DeactivateTrigt   FixInertTrigFunctiont   DeactivateTrigAuxt   PowerOfInertTrigSumQt   PiecewiseLinearQt   KnownTrigIntegrandQt   KnownSineIntegrandQt   KnownTangentIntegrandQt   KnownCotangentIntegrandQt   KnownSecantIntegrandQt   TryPureTanSubstt   TryTanhSubstt   TryPureTanhSubstt   AbsurdNumberGCDt   AbsurdNumberGCDListt   ExpandTrigExpandt   ExpandTrigReducet   ExpandTrigReduceAuxt   NormalizeTrigt	   TrigToExpt   ExpandTrigToExpt
   TrigReducet   FunctionOfTrigt   AlgebraicTrigFunctionQt   FunctionOfHyperbolict   FunctionOfQt   FunctionOfExpnQt   PureFunctionOfSinQt   PureFunctionOfCosQt   PureFunctionOfTanQt   PureFunctionOfCotQt   FunctionOfCosQt   FunctionOfSinQt   OddTrigPowerQt   FunctionOfTanQt   FunctionOfTanWeightt   FunctionOfTrigQt   FunctionOfDensePolynomialsQt   FunctionOfLogt   PowerVariableExpnt   PowerVariableDegreet   PowerVariableSubstt   EulerIntegrandQt   FunctionOfSquareRootOfQuadratict   SquareRootOfQuadraticSubstt   Dividest   EasyDQt   ProductOfLinearPowersQt   Rtt   NthRoott	   AtomBaseQt   SumBaseQt   NegSumBaseQt   AllNegTermQt   SomeNegTermQt   TrigSquareQt   RtAuxt
   TrigSquaret   IntSumt   IntTermt   Map2t   ConstantFactort   SameQt   ReplacePartt   CommonFactorst   MostMainFactorPositiont   FunctionOfExponentialQt   FunctionOfExponentialt   FunctionOfExponentialFunctiont    FunctionOfExponentialFunctionAuxt   FunctionOfExponentialTestt   FunctionOfExponentialTestAuxt   stdevt	   rubi_testt   Ift   IntQuadraticQt   IntBinomialQt   RectifyTangentt   RectifyCotangentt
   Inequalityt	   Conditiont   Simpt   SimpHelpt   SplitProductt   SplitSumt   SubstForRF  t   FresnelSt   FresnelCt   Erfct   Erfit   Gammat   FunctionOfTrigOfLinearQt   ElementaryFunctionQt   Complext   UnsameQt   _SimpFixFactort   SimpFixFactort   _FixSimplifyt   FixSimplifyt   _SimplifyAntiderivativeSumt   SimplifyAntiderivativeSumt   _SimplifyAntiderivativet   SimplifyAntiderivativet   _TrigSimplifyAuxt   TrigSimplifyAuxt   Cancelt   Partt   PolyLogt   Dt   Distt   Sum_doitt   PolynomialQuotientt   Floort   PolynomialRemaindert   FactorRŸ  t   CosIntegralt   SinIntegralt   LogIntegralt   SinhIntegralt   CoshIntegralt   Rulet   Erft	   PolyGammat   ExpIntegralEit   ExpIntegralEt   LogGammat   UtilityOperatort	   Factorialt   Zetat
   ProductLogt   DerivativeDividest   HypergeometricPFQt   IntHidet   OneQt   Nullt   rubi_expt   rubi_logt   Discriminantt   Negativet   Quotient(   t   Integralt   St   sqrtt   Andt   Ort   Integert   Floatt   Modt   It   Abst   simplifyt   Mult   Addt   Powt   signt
   EulerGamma(   t   WC(   t   symbolst   Symbol(   t   sint   cost   tant   cott   csct   secRá  t   erf(   t   acosht   asinht   atanht   acotht   acscht   asecht   cosht   sinht   tanht   cotht   secht   csch(   t   atant   acsct   asint   acott   acost   asect   atan2(   t   pit   ABCFGHabcdefghijklmnpqrtuvswxyzt   a1t   a2t   b1t   b2t   c1t   c2t   d1t   d2t   n1t   n2t   e1t   e2t   f1t   f2t   g1t   g2t   n3t   Pqt   Pmt   Pxt   Qmt   Qrt   Qxt   jnt   mnt   non2t   RFxt   RGxs   i ii Pqq Q R r C k uc   ë  Ò     sºð d d l  m } m } m } m } m } m } m } m } m	 }	 m
 }
 m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m  }  m! }! m" }" m# }# m$ }$ m% }% m& }& m' }' m( }( m) }) m* }* m+ }+ m, }, m- }- m. }. m/ }/ m0 }0 m1 }1 m2 }2 m3 }3 m4 }4 m5 }5 m6 }6 m7 }7 m8 }8 m9 }9 m: }: m; }; m< }< m= }= m> }> m? }? m@ }@ mA }A mB }B mC }C mD }D mE }E mF }F mG }G mH }H mI }I mJ }J mK }K mL }L mM }M mN }N mO }O mP }P mQ }Q mR }R mS }S mT }T mU }U mV }V mW }W mX }X mY }Y mZ }Z m[ }[ m\ }\ m] }] m^ }^ m_ }_ m` }` ma }a mb }b mc }c md }d me }e mf }f mg }g mh }h mi }i mj }j mk }k ml }l mm }m mn }n mo }o mp }p mq }q mr }r ms }s mt }t mu }u mv }v mw }w mx }x my }y mz }z m{ }{ m| }| m} }} m~ }~ m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m } m  }  m¡ }¡ m¢ }¢ m£ }£ m€ }€ m¥ }¥ mŠ }Š m§ }§ mš }š m© }© mª }ª m« }« m¬ }¬ m­ }­ m® }® m¯ }¯ m° }° m± }± m² }² m³ }³ mŽ }Ž mµ }µ m¶ }¶ m· }· mž }ž m¹ }¹ mº }º m» }» mŒ }Œ mœ }œ mŸ }Ÿ m¿ }¿ mÀ }À mÁ }Á mÂ }Â mÃ }Ã mÄ }Ä mÅ }Å mÆ }Æ mÇ }Ç mÈ }È mÉ }É mÊ }Ê mË }Ë mÌ }Ì mÍ }Í mÎ }Î mÏ }Ï mÐ }Ð mÑ }Ñ mÒ }Ò mÓ }Ó mÔ }Ô mÕ }Õ mÖ }Ö m× }× mØ }Ø mÙ }Ù mÚ }Ú mÛ }Û mÜ }Ü mÝ }Ý mÞ }Þ mß }ß mà }à má }á mâ }â mã }ã mä }ä må }å mæ }æ mç }ç mè }è mé }é mê }ê më }ë mì }ì mí }í mî }î mï }ï mð }ð mñ }ñ mò }ò mó }ó mô }ô mõ }õ mö }ö m÷ }÷ mø }ø mù }ù mú }ú mû }û mü }ü mý }ý mþ }þ mÿ }ÿ m } m}m}m}m}m}m}m}m}m	}	m
}
m}m}m}m}m}m}m}m}m}m}m}m}m}m}m}m}m}m}m}m}m}m } m!}!m"}"m#}#m$}$m%}%m&}&m'}'m(}(m)})m*}*m+}+m,},m-}-m.}.m/}/m0}0m1}1m2}2m3}3m4}4m5}5m6}6m7}7m8}8m9}9m:}:m;};m<}<m=}=m>}>m?}?m@}@mA}AmB}BmC}CmD}DmE}EmF}FmG}GmH}HmI}ImJ}JmK}KmL}LmM}MmN}NmO}OmP}PmQ}QmR}RmS}SmT}TmU}UmV}VmW}WmX}XmY}YmZ}Zm[}[m\}\m]}]m^}^m_}_m`}`ma}amb}bmc}cmd}dme}emf}fmg}gmh}hmi}imj}jmk}kml}lmm}mmn}nmo}omp}ptqtrtstt |  }q  f d   }rtu|q|r }stqtrtvd twd   txtttvd twd   tvd twd    tvd	 twd   tvd
 twd   tytttvd twd   tvd twd    tvd twd   tt | | | | | |	 | | 	 }t  f d   }utu|t|u }vtqtrtvd twd   txtttvd twd   tvd twd    tvd	 twd   tytttvd twd   tvd twd    tvd twd   tt | | | | |
 |  }w  f d   }xtu|w|x }ytqtrtvd twd   tytttvd twd   tvd twd    tvd	 twd   txtttvd twd   tvd twd    tvd twd   tt | | | | |
 |  }z  f d   }{tu|z|{ }|tqtrtvd twd   txtttvd twd   tvd twd    tztvd
 twd   tytttvd twd   tvd twd    t{tt | | | | | | | | 	 }}  f d   }~tu|}|~ }tqtrtvd twd   tytttvd twd   tvd twd    tztvd
 twd   txtttvd twd   tvd twd    t{tt | | | | | | | | 	 }  f d   }tu|| }tqtrtvd twd   txtttvd twd   tvd twd    tztvd
 twd   tytttvd twd   tvd twd    t{tt | | | | |	 | | | 	 }  f d   }tu|| }tqtrtvd twd   tytttvd twd   tvd twd    tztvd
 twd   txtttvd twd   tvd twd    t{tt | | | | |	 | | | 	 }  f d   }tu|| }tqtrtvd twd   txtttvd twd   tvd twd    tztvd
 twd   tytttvd twd   tvd twd    t{tt | | | | |	 | | | 	 }  f d   }tu|| }tqtrtvd twd   tytttvd twd   tvd twd    tztvd
 twd   txtttvd twd   tvd twd    t{tt | | | | |	 | | | 	 }  f d   }tu|| }tqtrt|tvd twd   txtttvd twd   tvd twd     t|tvd
 twd   tytttvd twd   tvd twd     tt | | | | |  }  f d   }tu|| }tqtrtwd  t|tvd twd   txtttvd twd   tvd twd     t|tvd
 twd   tytttvd twd   tvd twd     tt | | | | |  }  f d   }tu|| }  f d   }tqtrtvd twd   txtttvd twd   tvd twd    tztvd
 twd   tytttvd twd   tvd twd    t{tt | | | | | | |  }tu|| }  f d   }tqtrtvd twd   tytttvd twd   tvd twd    tztvd
 twd   txtttvd twd   tvd twd    t{tt | | | | | | |  }tu|| }tqtrtvd twd   txtttvd twd   tvd twd    tztvd
 twd   tytttvd twd   tvd twd    t{tt | | | | | |	 |  }  f d   }tu|| }tqtrtvd twd   tytttvd twd   tvd twd    tztvd
 twd   txtttvd twd   tvd twd    t{tt | | | | | |	 |  }  f d   }tu|| } tqtrtvd twd   txtttvd twd   tvd twd    tvd	 twd   tvd
 twd   tytttvd twd   tvd twd    tvd twd   tt | | | | | |	 | | 	 }¡  f d   }¢tu|¡|¢ }£tqtrtvd twd   tytttvd twd   tvd twd    tvd	 twd   tvd
 twd   txtttvd twd   tvd twd    tvd twd   tt | | | | | |	 | | 	 }€  f d   }¥tu|€|¥ }Štqtrtvd twd   txtttvd twd   tvd twd    tztvd
 twd   tytttvd twd   tvd twd    t{tt | | | | | | | | 	 }§  f d   }štu|§|š }©tqtrtvd twd   tytttvd twd   tvd twd    tztvd
 twd   txtttvd twd   tvd twd    t{tt | | | | | | | | 	 }ª  f d   }«tu|ª|« }¬tqtrtvd twd   txtttvd twd   tvd twd    tztvd
 twd   tytttvd twd   tvd twd    t{tt | | | | |	 | | | | 
 }­  f d   }®tu|­|® }¯tqtrtvd twd   tytttvd twd   tvd twd    tztvd
 twd   txtttvd twd   tvd twd    t{tt | | | | |	 | | | | 
 }°  f d    }±tu|°|± }²tqtrtvd twd   txtttvd twd   tvd twd    tztvd
 twd   tytttvd twd   tvd twd    t{tt | | | | |	 | | | 	 }³  f d!   }Žtu|³|Ž }µtqtrtvd twd   tytttvd twd   tvd twd    tztvd
 twd   txtttvd twd   tvd twd    t{tt | | | | |	 | | | 	 }¶  f d"   }·tu|¶|· }žtqtrtvd twd   txtttvd twd   tvd twd    tztvd
 twd   tytttvd twd   tvd twd    t{tt | | | | | |	 | | 	 }¹  f d#   }ºtu|¹|º }»tqtrtvd twd   tytttvd twd   tvd twd    tztvd
 twd   txtttvd twd   tvd twd    t{tt | | | | | |	 | | 	 }Œ  f d$   }œtu|Œ|œ }Ÿtqtrtvd twd   txtttvd twd   tvd twd    tvd	 twd   tvd
 twd   txtttvd twd   tvd twd    t{tt | | | | | |	 | | 	 }¿  f d%   }Àtu|¿|À }Átqtrtvd twd   tytttvd twd   tvd twd    tvd	 twd   tvd
 twd   tytttvd twd   tvd twd    t{tt | | | | | |	 | | 	 }Â  f d&   }Ãtu|Â|Ã }Ätqtrtxtttvd' twd   tvd( twd    t{tt | |  |  }Å  f d)   }Ætu|Å|Æ }Çtqtrtytttvd' twd   tvd( twd    t{tt | |  |  }È  f d*   }Étu|È|É }Êtqtrtvd
 twd   txtttvd' twd   tvd( twd    t{tt | | |  |! |  }Ë  f d+   }Ìtu|Ë|Ì }Ítqtrtvd
 twd   tytttvd' twd   tvd( twd    t{tt | | |  |! |  }Î  f d,   }Ïtu|Î|Ï }Ðtqtrtvd
 twd   txtttvd' twd   tvd( twd    t{tt | | |  |! |  }Ñ  f d-   }Òtu|Ñ|Ò }Ótqtrtvd
 twd   tytttvd' twd   tvd( twd    t{tt | | |  |! |  }Ô  f d.   }Õtu|Ô|Õ }Ötqtrtxtttvd' twd   tvd( twd    tt | |  |"  }×  f d/   }Øtu|×|Ø }Ùtqtrtytttvd' twd   tvd( twd    tt | | |#  }Ú  f d0   }Ûtu|Ú|Û }Ütqtrt|txtttvd' twd   tvd( twd     tt | |  |"  }Ý  f d1   }Þtu|Ý|Þ }ßtqtrt|tytttvd' twd   tvd( twd     tt | |  |"  }à  f d2   }átu|à|á }âtqtrt|t}txtttvd' twd   tvd( twd     tt | | |  |$  }ã  f d3   }ätu|ã|ä }åtqtrt|t}tytttvd' twd   tvd( twd     tt | | |  |$  }æ  f d4   }çtu|æ|ç }ètqtrtwd  t|txtttvd' twd   tvd( twd     tt | |  |"  }é  f d5   }êtu|é|ê }ëtqtrtwd  t|tytttvd' twd   tvd( twd     tt | |  |"  }ì  f d6   }ítu|ì|í }îtqtrtwd  t|t}txtttvd' twd   tvd( twd     tt | | |  |$  }ï  f d7   }ðtu|ï|ð }ñtqtrtwd  t|t}tytttvd' twd   tvd( twd     tt | | |  |$  }ò  f d8   }ótu|ò|ó }ôtqtrtvd
 twd   txtttvd' twd   tvd( twd    t{tt | | |  |	 |%  }õ  f d9   }ötu|õ|ö }÷tqtrtvd
 twd   tytttvd' twd   tvd( twd    t{tt | | |  |	 |%  }ø  f d:   }ùtu|ø|ù }útqtrt~tvd
 twd   txtttvd' twd   tvd( twd    twd;  tt | | | |  |&  }û  f d<   }ütu|û|ü }ýtqtrt~tvd
 twd   tytttvd' twd   tvd( twd    twd;  tt | | | |  |&  }þ  f d=   }ÿtu|þ|ÿ } tqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  |	 |' |(  }  f d>   }tu|| }tqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{tt | | | |  |	 |' |(  }  f d?   }tu|| }tqtrt|t~tvd
 twd   txtttvd' twd   tvd( twd     tt | | | |  |'  }  f d@   }tu|| }	tqtrt|t~tvd
 twd   tytttvd' twd   tvd( twd     tt | | | |  |'  }
  f dA   }tu|
| }tqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  |' |)  }  f dB   }tu|| }tqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{tt | | | |  |' |)  }  f dC   }tu|| }tqtrtwd  t~tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  |'  }  f dD   }tu|| }tqtrtwd  t~tvd
 twd   tytttvd' twd   tvd( twd    tt | | | |  |'  }  f dE   }tu|| }tqtrtwd  t|t~tvd
 twd   txtttvd' twd   tvd( twd     tt | | | |  |'  }  f dF   }tu|| }tqtrtwd  t|t~tvd
 twd   tytttvd' twd   tvd( twd     tt | | | |  |'  }  f dG   }tu|| }tqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  |' |* | |! 	 }  f dH   } tu||  }!tqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{tt | | | |  |' |* | |! 	 }"  f dI   }#tu|"|# }$tqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  |	 |' |% |+ 	 }%  f dJ   }&tu|%|& }'tqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{tt | | | |  |	 |' |% |+ 	 }(  f dK   })tu|(|) }*tqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  |	 |' |% |, 	 }+  f dL   },tu|+|, }-tqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{tt | | | |  |	 |' |% |, 	 }.  f dM   }/tu|.|/ }0tqtrt|t~tvd
 twd   txtttvd' twd   tvd( twd     tt | | | |  |- |.  }1  f dN   }2tu|1|2 }3tqtrt|t~tvd
 twd   tytttvd' twd   tvd( twd     tt | | | |  |- |.  }4  f dO   }5tu|4|5 }6tqtrt|t~tvd
 twd   txtttvd' twd   tvd( twd     tt | | | |  |- |/  }7  f dP   }8tu|7|8 }9tqtrt|t~tvd
 twd   tytttvd' twd   tvd( twd     tt | | | |  |- |/  }:  f dQ   };tu|:|; }<tqtrt|t~tvd
 twd   txtttvd' twd   tvd( twd     tt | | | |  |- |0  }=  f dR   }>tu|=|> }?tqtrt|t~tvd
 twd   tytttvd' twd   tvd( twd     tt | | | |  |- |0  }@  f dS   }Atu|@|A }Btqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  |- |* | |! 	 }C  f dT   }Dtu|C|D }Etqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{tt | | | |  |- |* | |! 	 }F  f dU   }Gtu|F|G }H  f dV   }Itqtrtwd  t~tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  |1 |2  }Jtu|J|I }K  f dW   }Ltqtrtwd  t~tvd
 twd   tytttvd' twd   tvd( twd    tt | | | |  |1 |2  }Mtu|M|L }N  f dX   }Otqtrtwd  t~tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  |1 |3  }Ptu|P|O }Q  f dY   }Rtqtrtwd  t~tvd
 twd   tytttvd' twd   tvd( twd    tt | | | |  |1 |3  }Stu|S|R }T  f dZ   }Utqtrtwd  t~tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  |- |4  }Vtu|V|U }W  f d[   }Xtqtrtwd  t~tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  |-  }Ytu|Y|X }Z  f d\   }[tqtrtwd  t~tvd
 twd   tytttvd' twd   tvd( twd    tt | | | |  |-  }\tu|\|[ }]tqtrtwd  t|t~tvd
 twd   txtttvd' twd   tvd( twd     tt | | | |  |- |.  }^  f d]   }_tu|^|_ }`tqtrtwd  t|t~tvd
 twd   tytttvd' twd   tvd( twd     tt | | | |  |- |.  }a  f d^   }btu|a|b }ctqtrtwd  t|t~tvd
 twd   txtttvd' twd   tvd( twd     tt | | | |  |- |/  }d  f d_   }etu|d|e }ftqtrtwd  t|t~tvd
 twd   tytttvd' twd   tvd( twd     tt | | | |  |- |/  }g  f d`   }htu|g|h }itqtrtwd  t|t~tvd
 twd   txtttvd' twd   tvd( twd     tt | | | |  |- |0  }j  f da   }ktu|j|k }ltqtrtwd  t|t~tvd
 twd   tytttvd' twd   tvd( twd     tt | | | |  |- |0  }m  f db   }ntu|m|n }otqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  |- |* | |! 	 }p  f dc   }qtu|p|q }rtqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{tt | | | |  |- |* | |! 	 }s  f dd   }ttu|s|t }utqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  |	 |- |%  }v  f de   }wtu|v|w }xtqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{tt | | | |  |	 |- |%  }y  f df   }ztu|y|z }{tqtrt~tvd
 twd   txtttvd' twd   tvd( twd    tytttvd' twd   tvd( twd    t{tt | | | |  |	 |5  }|  f dg   }}tu|||} }~tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tytttvd twd   tvd twd    tvdh twd   tt | | | | | |6 |' |7 	 }  f di   }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   txtttvd twd   tvd twd    tvdh twd   tt | | | | | |6 |' |7 	 }  f dj   }tu|| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tytttvd twd   tvd twd    tvdh twd   tt | | | | | |6 |-  }  f dk   }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   txtttvd twd   tvd twd    tvdh twd   tt | | | | | |6 |-  }  f dl   }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | | | |9 |: |8  }  f dn   }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | | | |9 |: |8  }  f do   }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 |' |; |< |= |>  }  f dp   }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 |' |; |< |= |>  }  f dq   }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 | |: |' |? |@  }  f dr   }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 | |: |' |? |@  }  f ds   }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 | |: |' |A |B |C  }  f dt   }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 | |: |' |A |B |C  }   f du   }¡tu| |¡ }¢tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 | |: |' |D |E  }£  f dv   }€tu|£|€ }¥tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 | |: |' |D |E  }Š  f dw   }§tu|Š|§ }štqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 | |: |' |F |G  }©  f dx   }ªtu|©|ª }«tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 | |: |' |F |G  }¬  f dy   }­tu|¬|­ }®tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 |' |H |I |J |K  }¯  f dz   }°tu|¯|° }±tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 |' |H |I |J |K  }²  f d{   }³tu|²|³ }Žtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 |' |H | |= |L  }µ  f d|   }¶tu|µ|¶ }·tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 |' |H | |= |L  }ž  f d}   }¹tu|ž|¹ }ºtqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|tvdm twd   tytttvd twd   tvd twd     tt | | | | |9 |'  }»  f d~   }Œtu|»|Œ }œtqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|tvdm twd   txtttvd twd   tvd twd     tt | | | | |9 |'  }Ÿ  f d   }¿tu|Ÿ|¿ }Àtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 | |: |' | |I |G |L  }Á  f d   }Âtu|Á|Â }Ãtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 | |: |' | |I |G |L  }Ä  f d   }Åtu|Ä|Å }Ætqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 |' |H | |M |N |G |L  }Ç  f d   }Ètu|Ç|È }Étqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 |' |H | |M |N |G |L  }Ê  f d   }Ëtu|Ê|Ë }Ìtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 |' |H |O |M |B |P |L  }Í  f d   }Îtu|Í|Î }Ïtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 |' |H |O |M |B |P |L  }Ð  f d   }Ñtu|Ð|Ñ }Òtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 | |: |' | | |B |L  }Ó  f d   }Ôtu|Ó|Ô }Õtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 | |: |' | | |B |L  }Ö  f d   }×tu|Ö|× }Øtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | | | |9 |' |< |M |Q 
 }Ù  f d   }Útu|Ù|Ú }Ûtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | | | |9 |' |< |M |Q 
 }Ü  f d   }Ýtu|Ü|Ý }Þtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | | | |9 |: |' |R |Q 
 }ß  f d   }àtu|ß|à }átqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | | | |9 |: |' |R |Q 
 }â  f d   }ãtu|â|ã }ätqtrt|tvdm twd   tytttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | | | |9 |'  }å  f d   }ætu|å|æ }çtqtrt|tvdm twd   txtttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | | | |9 |'  }è  f d   }étu|è|é }êtqtrtvdm twd   tytttvd twd   tvd twd    twd  d; t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | | | |9 |'  }ë  f d   }ìtu|ë|ì }ítqtrtvdm twd   txtttvd twd   tvd twd    twd  d; t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | | | |9 |'  }î  f d   }ïtu|î|ï }ðtqtrtvdm twd   tytttvd twd   tvd twd    tt|t~tvd
 twd   txtttvd twd   tvd twd     tt | | | | |9 |' |< |S |Q 
 }ñ  f d   }òtu|ñ|ò }ótqtrtvdm twd   txtttvd twd   tvd twd    tt|t~tvd
 twd   tytttvd twd   tvd twd     tt | | | | |9 |' |< |S |Q 
 }ô  f d   }õtu|ô|õ }ötqtrtvdm twd   tytttvd twd   tvd twd    tt|t~tvd
 twd   txtttvd twd   tvd twd     tt | | | | |9 |' |< |= |Q 
 }÷  f d   }øtu|÷|ø }ùtqtrtvdm twd   txtttvd twd   tvd twd    tt|t~tvd
 twd   tytttvd twd   tvd twd     tt | | | | |9 |' |< |= |Q 
 }ú  f d   }ûtu|ú|û }ütqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | | | |9 |: |' |; 	 }ý  f d   }þtu|ý|þ }ÿtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | | | |9 |: |' |; 	 }   f d   }tu| | }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | | | |9 | |: |' | 
 }  f d   }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | | | |9 | |: |' | 
 }  f d   }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 |- |H | |= |T  }	  f d   }
tu|	|
 }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 |- |H | |= |T  }  f d   }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 |- |H | |= |T  }  f d   }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 |- |H | |= |T  }  f d   }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 |: |- | | |G |T  }  f d   }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 |: |- | | |G |T  }  f d   }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 |- |H | |M |L  }  f d   }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 |- |H | |M |L  }  f d    }tu|| } tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 |: |- | | |L  }!  f d¡   }"tu|!|" }#tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 |: |- | | |L  }$  f d¢   }%tu|$|% }&tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 | |- |< |M |G |L  }'  f d£   }(tu|'|( })tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 | |- |< |M |G |L  }*  f d€   }+tu|*|+ },tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 | |- |< |= |L  }-  f d¥   }.tu|-|. }/tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 | |- |< |= |L  }0  f dŠ   }1tu|0|1 }2tqtrtwd  t|tvdm twd   tytttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | | | |9 |-  }3  f d§   }4tu|3|4 }5tqtrtwd  t|tvdm twd   txtttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | | | |9 |-  }6  f dš   }7tu|6|7 }8tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 | |: |- |? 
 }9  f d©   }:tu|9|: };tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 | |: |- |? 
 }<  f dª   }=tu|<|= }>tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 | |: |- |U 
 }?  f d«   }@tu|?|@ }Atqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 | |: |- |U 
 }B  f d¬   }Ctu|B|C }Dtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 | |: |- |V 
 }E  f d­   }Ftu|E|F }Gtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 | |: |- |V 
 }H  f d®   }Itu|H|I }J  f d¯   }Ktqtrt|tvdm twd   tytttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    tt | | | | |9 |-  }Ltu|L|K }M  f d°   }Ntqtrt|tvdm twd   txtttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    tt | | | | |9 |-  }Otu|O|N }P  f d±   }Qtqtrtwd  t|tvdm twd   tytttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    tt | | | | |9 |-  }Rtu|R|Q }S  f d²   }Ttqtrtwd  t|tvdm twd   txtttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    tt | | | | |9 |-  }Utu|U|T }Vtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 |: |- |W |X 
 }W  f d³   }Xtu|W|X }Ytqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 |: |- |W |X 
 }Z  f dŽ   }[tu|Z|[ }\tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 | |: |- |C 
 }]  f dµ   }^tu|]|^ }_tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 | |: |- |C 
 }`  f d¶   }atu|`|a }btqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | | | |9 | |: |Y 	 }c  f d·   }dtu|c|d }etqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | | | |9 | |: |Y 	 }f  f dž   }gtu|f|g }htqtrtvdm twd   ttttvd twd   tvd twd    tvdh twd   t~tvd
 twd   txtttvd twd   tvd twd    tt | | | | |9 |: |' |Z 	 }i  f d¹   }jtu|i|j }ktqtrtvdm twd   ttttvd twd   tvd twd    tvdh twd   t~tvd
 twd   tytttvd twd   tvd twd    tt | | | | |9 |: |' |Z 	 }l  f dº   }mtu|l|m }ntqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttttvd twd   tvd twd    tvdh twd   tt | | | | | |' |[  }o  f d»   }ptu|o|p }qtqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   twd  ttttvd twd   tvd twd    tvdh twd   tt | | | | | |' |[  }r  f dŒ   }stu|r|s }ttqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttttvd twd   tvd twd    ttt | | | | |' |\ |]  }u  f dœ   }vtu|u|v }wtqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   twd  ttttvd twd   tvd twd    ttt | | | | |' |\ |]  }x  f dŸ   }ytu|x|y }ztqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttttvd twd   tvd twd    ttt | | | | |' |^ |_  }{  f d¿   }|tu|{|| }}tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztwd  ttttvd twd   tvd twd    ttt | | | | |' |^ |_  }~  f dÀ   }tu|~| }tqtrtvdm twd   ttttvd twd   tvd twd    tvdh twd   t~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | | | |9 |: |' |` 	 }  f dÁ   }tu|| }tqtrtvdm twd   ttttvd twd   tvd twd    tvdh twd   t~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | | | |9 |: |' |` 	 }  f dÂ   }tu|| }tqtrtvdm twd   ttttvd twd   tvd twd    tvdh twd   t~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 |: |' |W 	 }  f dÃ   }tu|| }tqtrtvdm twd   ttttvd twd   tvd twd    tvdh twd   t~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 |: |' |W 	 }  f dÄ   }tu|| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttttvd twd   tvd twd    twd;  tt | | | | |' | | |a 	 }  f dÅ   }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttttvd twd   tvd twd    twd;  tt | | | | |' | | |a 	 }  f dÆ   }tu|| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttttvd twd   tvd twd    twd;  tt | | | | | |' | |b 	 }  f dÇ   }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttttvd twd   tvd twd    twd;  tt | | | | | |' | |b 	 }  f dÈ   }tu|| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttttvd twd   tvd twd    twdÉ  tt | | | | | |' |c  }  f dÊ   }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttttvd twd   tvd twd    twdÉ  tt | | | | | |' |c  }  f dË   }tu|| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttttvd twd   tvd twd    twd;  tt | | | | |' |c |  }  f dÌ   } tu||  }¡tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttttvd twd   tvd twd    twd;  tt | | | | |' |c |  }¢  f dÍ   }£tu|¢|£ }€tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttttvd twd   tvd twd    twd;  tt | | | | | |' |c |d 	 }¥  f dÎ   }Štu|¥|Š }§tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttttvd twd   tvd twd    twd;  tt | | | | | |' |c |d 	 }š  f dÏ   }©tu|š|© }ªtqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttttvd twd   tvd twd    twdÉ  tt | | | | |' |c |  }«  f dÐ   }¬tu|«|¬ }­tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttttvd twd   tvd twd    twdÉ  tt | | | | |' |c |  }®  f dÑ   }¯tu|®|¯ }°tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttttvd twd   tvd twd    twdÉ  tt | | | | | |' |c |d 	 }±  f dÒ   }²tu|±|² }³tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttttvd twd   tvd twd    twdÉ  tt | | | | | |' |c |d 	 }Ž  f dÓ   }µtu|Ž|µ }¶tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttttvd twd   tvd twd    ttt | | | | | |' | |e 	 }·  f dÔ   }žtu|·|ž }¹tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztwd  ttttvd twd   tvd twd    ttt | | | | | |' | |e 	 }º  f dÕ   }»tu|º|» }Œtqtrtvdm twd   ttttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | | | |9 | |: |' | |Y  }œ  f dÖ   }Ÿtu|œ|Ÿ }¿tqtrtvdm twd   ttttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | | | |9 | |: |' | |Y  }À  f d×   }Átu|À|Á }Âtqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttttvd twd   tvd twd    tvdh twd   tt | | | | | |- |[  }Ã  f dØ   }Ätu|Ã|Ä }Åtqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   twd  ttttvd twd   tvd twd    tvdh twd   tt | | | | | |- |[  }Æ  f dÙ   }Çtu|Æ|Ç }Ètqtrtvdm twd   ttttvd twd   tvd twd    tvdh twd   t~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | | | |9 |: |- |` 	 }É  f dÚ   }Êtu|É|Ê }Ëtqtrtvdm twd   ttttvd twd   tvd twd    tvdh twd   t~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | | | |9 |: |- |` 	 }Ì  f dÛ   }Ítu|Ì|Í }Îtqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttttvd twd   tvd twd    twd;  tt | | | | | |-  }Ï  f dÜ   }Ðtu|Ï|Ð }Ñtqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttttvd twd   tvd twd    twd;  tt | | | | | |-  }Ò  f dÝ   }Ótu|Ò|Ó }Ôtqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttttvd twd   tvd twd    twdÉ  tt | | | | |- | | |f 	 }Õ  f dÞ   }Ötu|Õ|Ö }×tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttttvd twd   tvd twd    twdÉ  tt | | | | |- | | |f 	 }Ø  f dß   }Ùtu|Ø|Ù }Útqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttttvd twd   tvd twd    twdÉ  tt | | | | | |- |g |f 	 }Û  f dà   }Ütu|Û|Ü }Ýtqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttttvd twd   tvd twd    twdÉ  tt | | | | | |- |g |f 	 }Þ  f dá   }ßtu|Þ|ß }àtqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttttvd twd   tvd twd    twdâ  tt | | | | | |- |E |f 	 }á  f dã   }âtu|á|â }ãtqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttttvd twd   tvd twd    twdâ  tt | | | | | |- |E |f 	 }ä  f dä   }åtu|ä|å }ætqtrtvdm twd   ttttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | | | |9 |- |h |M 	 }ç  f då   }ètu|ç|è }étqtrtvdm twd   ttttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | | | |9 |- |h |M 	 }ê  f dæ   }ëtu|ê|ë }ìtqtrtvdm twd   ttttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | | | |9 |- |h |= 	 }í  f dç   }îtu|í|î }ïtqtrtvdm twd   ttttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | | | |9 |- |h |= 	 }ð  f dè   }ñtu|ð|ñ }òtqtrt|tvdm twd   ttttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    tt | | | | |9 |-  }ó  f dé   }ôtu|ó|ô }õtqtrt|tvdm twd   ttttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    tt | | | | |9 |-  }ö  f dê   }÷tu|ö|÷ }øtqtrtwd  t|tttttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    tt | | | | |9 |-  }ù  f dë   }útu|ù|ú }ûtqtrtwd  t|tttttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    tt | | | | |9 |-  }ü  f dì   }ýtu|ü|ý }þtqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttttvd twd   tvd twd    ttt | | | | |- |^  }ÿ  f dí   } tu|ÿ|  }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztwd  ttttvd twd   tvd twd    ttt | | | | |- |^  }  f dî   }tu|| }tqtrtvdm twd   ttttvd twd   tvd twd    tvdh twd   t~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | | | |9 | |: |i 	 }  f dï   }tu|| }tqtrtvdm twd   ttttvd twd   tvd twd    tvdh twd   t~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | | | |9 | |: |i 	 }  f dð   }	tu||	 }
tqtrtvdm twd   ttttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | | | |9 | |: |Y 	 }  f dñ   }tu|| }tqtrtvdm twd   ttttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | | | |9 | |: |Y 	 }  f dò   }tu|| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |j  }  f dó   }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |j  }  f dô   }tu|| }tqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |j  }  f dõ   }tu|| }tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |j  }  f dö   }tu|| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |	 |k |' |; |l  }  f d÷   }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |	 |k |' |; |l  }   f dø   }!tu| |! }"tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |k |' 	 }#  f dù   }$tu|#|$ }%tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |k |' 	 }&  f dú   }'tu|&|' }(tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |	 |k |' |m  })  f dû   }*tu|)|* }+tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |	 |k |' |m  },  f dü   }-tu|,|- }.tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |k |' |n |* | |o  }/  f dý   }0tu|/|0 }1tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |k |' |n |* | |o  }2  f dþ   }3tu|2|3 }4tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |	 |k |' |n |p |q |o  }5  f dÿ   }6tu|5|6 }7tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |	 |k |' |n |p |q |o  }8  f d   }9tu|8|9 }:tqtrtwd  t|t~tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |k |' 	 };  f d  }<tu|;|< }=tqtrtwd  t|t~tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |k |' 	 }>  f d  }?tu|>|? }@tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | | |	 |k |' |r |s  }A  f d  }Btu|A|B }Ctqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | | |	 |k |' |r |s  }D  f d  }Etu|D|E }Ftqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | | |	 |k |' |t |s |u  }G  f d  }Htu|G|H }Itqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | | |	 |k |' |t |s |u  }J  f d  }Ktu|J|K }Ltqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |	 |k |' | | |v |  }M  f d  }Ntu|M|N }Otqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |	 |k |' | | |v |  }P  f d  }Qtu|P|Q }Rtqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | | |	 |k |' |w  }S  f d	  }Ttu|S|T }Utqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | | |	 |k |' |w  }V  f d
  }Wtu|V|W }Xtqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |j  }Y  f d  }Ztu|Y|Z }[tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |j  }\  f d  }]tu|\|] }^tqtrtwd  tvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |j  }_  f d  }`tu|_|` }atqtrtwd  tvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |j  }b  f d  }ctu|b|c }dtqtrtvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    tt | | |  | | | |x  }e  f d  }ftu|e|f }gtqtrtvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    tt | | |  | | | |x  }h  f d  }itu|h|i }jtqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    tt | | | |  | | | |j |' |y  }k  f d  }ltu|k|l }mtqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    tt | | | |  | | | |j |' |y  }n  f d  }otu|n|o }ptqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |j |' | |z  }q  f d  }rtu|q|r }stqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |j |' | |z  }t  f d  }utu|t|u }vtqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | | |j |' |{  }w  f d  }xtu|w|x }ytqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | | |j |' |{  }z  f d  }{tu|z|{ }|tqtrtvd( twd   tvd' twd   txtttvd twd   tvd twd    t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | | |  | | |j |- 	 }}  f d  }~tu|}|~ }tqtrtvd( twd   tvd' twd   tytttvd twd   tvd twd    t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | | |  | | |j |- 	 }  f d  }tu|| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |j |- | |I |f  }  f d  }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |j |- | |I |f  }  f d  }tu|| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |j |- | | |f  }  f d  }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |j |- | | |f  }  f d  }tu|| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    tt | | | |  | | | |j |- || |}  }  f d  }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    tt | | | |  | | | |j |- || |}  }  f d  }tu|| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | | |j |- 
 }  f d  }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | | |j |- 
 }  f d   }tu|| }tqtrtvd' twd   txtttvd twd   tvd twd    tvd twd   t~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | |  | | |	 |' |` |* 
 }  f d!  }tu|| }tqtrtvd' twd   tytttvd twd   tvd twd    tvd twd   t~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | |  | | |	 |' |` |* 
 }  f d"  }tu|| } tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztxtttvd twd   tvd twd    twd;  tt | | | | |' | |z  }¡  f d#  }¢tu|¡|¢ }£tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztytttvd twd   tvd twd    twd;  tt | | | | |' | |z  }€  f d$  }¥tu|€|¥ }Štqtrt~tvd
 twd   txtttvd twd   tvd twd    tztxtttvd twd   tvd twd    twd;  tt | | | | | |' |{  }§  f d%  }štu|§|š }©tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztytttvd twd   tvd twd    twd;  tt | | | | | |' |{  }ª  f d&  }«tu|ª|« }¬tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |j |' | |  }­  f d'  }®tu|­|® }¯tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |j |' | |  }°  f d(  }±tu|°|± }²tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    twd;  tt | | | |  | | | |j |' |g  }³  f d)  }Žtu|³|Ž }µtqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    twd;  tt | | | |  | | | |j |' |g  }¶  f d*  }·tu|¶|· }žtqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |j |' |~ | | | |  }¹  f d+  }ºtu|¹|º }»tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |j |' |~ | | | |  }Œ  f d,  }œtu|Œ|œ }Ÿtqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |	 |j |' |~ | | |p |  }¿  f d-  }Àtu|¿|À }Átqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |	 |j |' |~ | | |p |  }Â  f d.  }Ãtu|Â|Ã }Ätqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |j |' |~ | | | |  }Å  f d/  }Ætu|Å|Æ }Çtqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |j |' |~ | | | |  }È  f d0  }Étu|È|É }Êtqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |j |' |~ | | | |  }Ë  f d1  }Ìtu|Ë|Ì }Ítqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |j |' |~ | | | |  }Î  f d2  }Ïtu|Î|Ï }Ðtqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |	 |j |' |~ | | | |  }Ñ  f d3  }Òtu|Ñ|Ò }Ótqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |	 |j |' |~ | | | |  }Ô  f d4  }Õtu|Ô|Õ }Ötqtrtvd( twd   tvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tt | | | |  | | |j |' |~ |* | |  }×  f d5  }Øtu|×|Ø }Ùtqtrtvd( twd   tvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tt | | | |  | | |j |' |~ |* | |  }Ú  f d6  }Ûtu|Ú|Û }Ütqtrtvd( twd   tvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tt | | | |  | | |j |' |~ |* | |  }Ý  f d7  }Þtu|Ý|Þ }ßtqtrtvd( twd   tvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tt | | | |  | | |j |' |~ |* | |  }à  f d8  }átu|à|á }âtqtrtvd( twd   tvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tt | | | |  | | |	 |j |' |~ |  }ã  f d9  }ätu|ã|ä }åtqtrtvd( twd   tvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tt | | | |  | | |	 |j |' |~ |  }æ  f d:  }çtu|æ|ç }ètqtrt|t~tvd
 twd   txtttvd twd   tvd twd     tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |j |' |~ |* | |!  }é  f d;  }êtu|é|ê }ëtqtrt|t~tvd
 twd   tytttvd twd   tvd twd     tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |j |' |~ |* | |!  }ì  f d<  }ítu|ì|í }îtqtrt|t~tvd
 twd   txtttvd twd   tvd twd     tvd( twd   tvd' twd   txtttvd twd   tvd twd    twd  d; tt | | | |  | | |j |' |~ 
 }ï  f d=  }ðtu|ï|ð }ñtqtrt|t~tvd
 twd   tytttvd twd   tvd twd     tvd( twd   tvd' twd   tytttvd twd   tvd twd    twd  d; tt | | | |  | | |j |' |~ 
 }ò  f d>  }ótu|ò|ó }ôtqtrt|t~tvd
 twd   txtttvd twd   tvd twd     tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |j |' |~ |* | | |!  }õ  f d?  }ötu|õ|ö }÷tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |j |' |~ |* | |!  }ø  f d@  }ùtu|ø|ù }útqtrt|t~tvd
 twd   txtttvd twd   tvd twd     tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |j |' |~ 
 }û  f dA  }ütu|û|ü }ýtqtrt|t~tvd
 twd   tytttvd twd   tvd twd     tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |j |' |~ 
 }þ  f dB  }ÿtu|þ|ÿ } tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|tvd' twd   txtttvd twd   tvd twd     tt | | |  | | |' |  }  f dC  }tu|| }tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|tvd' twd   tytttvd twd   tvd twd     tt | | |  | | |' |  }  f dD  }tu|| }tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |j |' |~ 
 }  f dE  }tu|| }	tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |j |' |~ 
 }
  f dF  }tu|
| }tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |	 |j |' |~ |%  }  f dG  }tu|| }tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |	 |j |' |~ |%  }  f dH  }tu|| }tqtrt|tvd( twd   tvd' twd   txtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | | |  | | |j |' |~ 
 }  f dI  }tu|| }tqtrt|tvd( twd   tvd' twd   tytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | | |  | | |j |' |~ 
 }  f dJ  }tu|| }tqtrtvd( twd   tvd' twd   txtttvd twd   tvd twd    t{t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | | |  | | |j |' |~ |* | |!  }  f dK  }tu|| }tqtrtvd( twd   tvd' twd   tytttvd twd   tvd twd    t{t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | | |  | | |j |' |~ |* | |!  }  f dL  }tu|| }tqtrtvd( twd   tvd' twd   txtttvd twd   tvd twd    t{t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | | |  | | |j |' |~ |* | |!  }  f dM  } tu||  }!tqtrtvd( twd   tvd' twd   tytttvd twd   tvd twd    t{t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | | |  | | |j |' |~ |* | |!  }"  f dN  }#tu|"|# }$tqtrtwd  t|t~tvd
 twd   txtttvd twd   tvd twd     tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |j |' |~ 
 }%  f dO  }&tu|%|& }'tqtrtwd  t|t~tvd
 twd   tytttvd twd   tvd twd     tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |j |' |~ 
 }(  f dP  })tu|(|) }*tqtrtwd  t|tvd' twd   txtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | |  | | |' | |+ 	 }+  f dQ  },tu|+|, }-tqtrtwd  t|tvd' twd   tytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | |  | | |' | |+ 	 }.  f dR  }/tu|.|/ }0tqtrtwd  t|t~tvd
 twd   txtttvd twd   tvd twd     t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |j |' |~ 
 }1  f dS  }2tu|1|2 }3tqtrtwd  t|t~tvd
 twd   tytttvd twd   tvd twd     t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |j |' |~ 
 }4  f dT  }5tu|4|5 }6tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | | |j |' |~ |* | |  }7  f dU  }8tu|7|8 }9tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | | |j |' |~ |* | |  }:  f dV  };tu|:|; }<tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |	 |j |' |~ |;  }=  f dW  }>tu|=|> }?tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |	 |j |' |~ |;  }@  f dX  }Atu|@|A }Btqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztt | | |  | | | |	 |' | |+ |  }C  f dY  }Dtu|C|D }Etqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztt | | |  | | | |	 |' | |+ |  }F  f dZ  }Gtu|F|G }Htqtrtvd' twd   txtttvd twd   tvd twd    tvd twd   t~tvd
 twd   txtttvd twd   tvd twd    tztt | | |  | | | |	 |' | |+ |  }I  f d[  }Jtu|I|J }Ktqtrtvd' twd   tytttvd twd   tvd twd    tvd twd   t~tvd
 twd   tytttvd twd   tvd twd    tztt | | |  | | | |	 |' | |+ |  }L  f d\  }Mtu|L|M }Ntqtrtvd' twd   txtttvd twd   tvd twd    tvd twd   t~tvd
 twd   txtttvd twd   tvd twd    tztt | | |  | | | |	 |' | |,  }O  f d]  }Ptu|O|P }Qtqtrtvd' twd   tytttvd twd   tvd twd    tvd twd   t~tvd
 twd   tytttvd twd   tvd twd    tztt | | |  | | | |	 |' | |,  }R  f d^  }Stu|R|S }Ttqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | | |	 |j |' |~ |  }U  f d_  }Vtu|U|V }Wtqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | | |	 |j |' |~ |  }X  f d`  }Ytu|X|Y }Ztqtrtvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    twd;  tt | | |  | | | |x  }[  f da  }\tu|[|\ }]tqtrtvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    twd;  tt | | |  | | | |x  }^  f db  }_tu|^|_ }`tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |j |- | |  }a  f dc  }btu|a|b }ctqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |j |- | |  }d  f dd  }etu|d|e }ftqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    twd;  tt | | | |  | | | |j |- |g  }g  f de  }htu|g|h }itqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    twd;  tt | | | |  | | | |j |- |g  }j  f df  }ktu|j|k }ltqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |j |- |~ | | | |  }m  f dg  }ntu|m|n }otqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |j |- |~ | | | |  }p  f dh  }qtu|p|q }rtqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |	 |j |- |~ | | | |  }s  f di  }ttu|s|t }utqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |	 |j |- |~ | | | |  }v  f dj  }wtu|v|w }xtqtrt|tvd' twd   txtttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    twd  d; tt | | |  | | |-  }y  f dk  }ztu|y|z }{tqtrt|tvd' twd   tytttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    twd  d; tt | | |  | | |-  }|  f dl  }}tu|||} }~tqtrt|ttvd' twd   txtttvd twd   tvd twd     tvd twd   tvd
 twd   txtttvd twd   tvd twd    twd  d; tt | | | |  | | |j |- |~ 
 }  f dm  }tu|| }tqtrt|ttvd' twd   tytttvd twd   tvd twd     tvd twd   tvd
 twd   tytttvd twd   tvd twd    twd  d; tt | | | |  | | |j |- |~ 
 }  f dn  }tu|| }tqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |j |- |~ | | | |  }  f do  }tu|| }tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |j |- |~ | | | |  }  f dp  }tu|| }tqtrtvd' twd   txtttvd twd   tvd twd    twd  d; t~tvd
 twd   txtttvd twd   tvd twd    twd  d; tt | | |  | | |-  }  f dq  }tu|| }tqtrtvd' twd   tytttvd twd   tvd twd    twd  d; t~tvd
 twd   tytttvd twd   tvd twd    twd  d; tt | | |  | | |-  }  f dr  }tu|| }tqtrttvd' twd   txtttvd twd   tvd twd    twd  d; tvd twd   tvd
 twd   txtttvd twd   tvd twd    twd  d; tt | | | |  | | |j |- |~ 
 }  f ds  }tu|| }tqtrttvd' twd   tytttvd twd   tvd twd    twd  d; tvd twd   tvd
 twd   tytttvd twd   tvd twd    twd  d; tt | | | |  | | |j |- |~ 
 }  f dt  }tu|| }tqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |j |- |~ | | | |  }  f du  }tu|| }tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |j |- |~ | | | |  }  f dv  }tu|| }tqtrtwd  t|tvd' twd   txtttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    twd  d; tt | | |  | | |-  }  f dw  }tu|| }tqtrtwd  t|tvd' twd   tytttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    twd  d; tt | | |  | | |-  }   f dx  }¡tu| |¡ }¢tqtrtwd  tvd twd   tvd
 twd   txtttvd twd   tvd twd    twd  d; t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |j |- |~ 
 }£  f dy  }€tu|£|€ }¥tqtrtwd  tvd twd   tvd
 twd   tytttvd twd   tvd twd    twd  d; t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |j |- |~ 
 }Š  f dz  }§tu|Š|§ }štqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |	 |j |- |~ | | | |  }©  f d{  }ªtu|©|ª }«tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |	 |j |- |~ | | | |  }¬  f d|  }­tu|¬|­ }®tqtrt|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tvd twd   tvd
 twd   txtttvd twd   tvd twd    tt | | | |  | | |j |- |~ 
 }¯  f d}  }°tu|¯|° }±tqtrt|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tvd twd   tvd
 twd   tytttvd twd   tvd twd    tt | | | |  | | |j |- |~ 
 }²  f d~  }³tu|²|³ }Žtqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    twd  d; tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |j |- |~ 
 }µ  f d  }¶tu|µ|¶ }·tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    twd  d; tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |j |- |~ 
 }ž  f d  }¹tu|ž|¹ }ºtqtrtwd  tvd twd   tvd
 twd   txtttvd twd   tvd twd    t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |j |- |~ |  }»  f d  }Œtu|»|Œ }œtqtrtwd  tvd twd   tvd
 twd   tytttvd twd   tvd twd    t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |j |- |~ |  }Ÿ  f d  }¿tu|Ÿ|¿ }Àtqtrtwd  tvd twd   tvd
 twd   txtttvd twd   tvd twd    t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |j |- |~ |  }Á  f d  }Âtu|Á|Â }Ãtqtrtwd  tvd twd   tvd
 twd   tytttvd twd   tvd twd    t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |j |- |~ |  }Ä  f d  }Åtu|Ä|Å }Ætqtrtwd  tvd twd   tvd
 twd   txtttvd twd   tvd twd    t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |j |- |~ |  }Ç  f d  }Ètu|Ç|È }Étqtrtwd  tvd twd   tvd
 twd   tytttvd twd   tvd twd    t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |j |- |~ |  }Ê  f d  }Ëtu|Ê|Ë }Ìtqtrt|tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     tt | | |  | | | | | 	 }Í  f d  }Îtu|Í|Î }Ïtqtrt|tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tt | | |  | | | | | 	 }Ð  f d  }Ñtu|Ð|Ñ }Òtqtrt|tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     tt | | |  | | |~ |  }Ó  f d  }Ôtu|Ó|Ô }Õtqtrt|tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tt | | |  | | |~ |  }Ö  f d  }×tu|Ö|× }Øtqtrt|tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     tt | | |  | | |~ |  }Ù  f d  }Útu|Ù|Ú }Ûtqtrt|tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tt | | |  | | |~ |  }Ü  f d  }Ýtu|Ü|Ý }Þtqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |j |- |~ |  }ß  f d  }àtu|ß|à }átqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |j |- |~ |  }â  f d  }ãtu|â|ã }ätqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |j |- |~ |  }å  f d  }ætu|å|æ }çtqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |j |- |~ |  }è  f d  }étu|è|é }êtqtrtwd  t|tvd' twd   txtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | |  | | | | | 	 }ë  f d  }ìtu|ë|ì }ítqtrtwd  t|tvd' twd   tytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | |  | | | | | 	 }î  f d  }ïtu|î|ï }ðtqtrtwd  t|tvd' twd   txtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | |  | | | | | 	 }ñ  f d  }òtu|ñ|ò }ótqtrtwd  t|tvd' twd   tytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | |  | | | | | 	 }ô  f d  }õtu|ô|õ }ötqtrtwd  t|tvd' twd   txtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | |  | | |1 | | 	 }÷  f d  }øtu|÷|ø }ùtqtrtwd  t|tvd' twd   tytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | |  | | |1 | | 	 }ú  f d  }ûtu|ú|û }ütqtrtwd  t|tvd' twd   txtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | |  | | |- |  }ý  f d  }þtu|ý|þ }ÿtqtrtwd  t|tvd' twd   tytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | |  | | |- |  }   f d  }tu| | }tqtrtwd  t|tvd' twd   txtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | |  | | |- |   }  f d  }tu|| }tqtrtwd  t|tvd' twd   tytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | |  | | |- |   }  f d  }tu|| }tqtrtwd  t|t~tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |j |- |~ |¡  }	  f d  }
tu|	|
 }tqtrtwd  t|t~tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |j |- |~ |¡  }  f d  }tu|| }tqtrtwd  t|ttvd' twd   txtttvd twd   tvd twd     t|tvd twd   tvd
 twd   txtttvd twd   tvd twd     tt | | | |  | | |j |- |~ |¢  }  f d  }tu|| }tqtrtwd  t|ttvd' twd   tytttvd twd   tvd twd     t|tvd twd   tvd
 twd   tytttvd twd   tvd twd     tt | | | |  | | |j |- |~ |¢  }  f d  }tu|| }tqtrtvd' twd   txtttvd twd   tvd twd    twd  d; t|tvd twd   tvd
 twd   txtttvd twd   tvd twd     tt | | |  | | |-  }  f d  }tu|| }tqtrtvd' twd   tytttvd twd   tvd twd    twd  d; t|tvd twd   tvd
 twd   tytttvd twd   tvd twd     tt | | |  | | |-  }  f d   }tu|| }tqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |j |- |~ | |£ |€ |¥ |  }  f d¡  }tu|| }tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |j |- |~ | |£ |€ |¥ |  }  f d¢  }tu|| } tqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |	 |j |` 
 }!  f d£  }"tu|!|" }#tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |	 |j |` 
 }$  f d€  }%tu|$|% }&tqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | | |	 |j |- |~  }'  f d¥  }(tu|'|( })tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | | |	 |j |- |~  }*  f dŠ  }+tu|*|+ },tqtrtvd' twd   txtttvd twd   tvd twd    ttvd( twd   t{tvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | | |  | | | |	 |: |  }-  f d§  }.tu|-|. }/tqtrtvd' twd   tytttvd twd   tvd twd    ttvd( twd   t{tvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | | |  | | | |	 |: |  }0  f dš  }1tu|0|1 }2tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | | | 	 }3  f d©  }4tu|3|4 }5tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | | | 	 }6  f dª  }7tu|6|7 }8tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |	 | |; 
 }9  f d«  }:tu|9|: };tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |	 | |; 
 }<  f d¬  }=tu|<|= }>tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | | |	 | |  }?  f d­  }@tu|?|@ }Atqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | | |	 | |  }B  f d®  }Ctu|B|C }Dtqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tytttvd twd   tvd twd    tt | | | |  | | | |	 |Š 
 }E  f d¯  }Ftu|E|F }Gtqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   txtttvd twd   tvd twd    tt | | | |  | | | |	 |Š 
 }H  f d°  }Itu|H|I }Jtqtrtvd' twd   txtttvd twd   tvd twd    tvd twd   t~tvd
 twd   txtttvd twd   tvd twd    tytttvd twd   tvd twd    ttt | | |  | | |	 |: |6 | |§  }K  f d±  }Ltu|K|L }Mtqtrtvd' twd   tytttvd twd   tvd twd    tvd twd   t~tvd
 twd   tytttvd twd   tvd twd    txtttvd twd   tvd twd    ttt | | |  | | |	 |: |6 | |§  }N  f d²  }Otu|N|O }Ptqtrtvd' twd   txtttvd twd   tvd twd    tvd twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | |  | | |	 |: |6 |' | |š  }Q  f d³  }Rtu|Q|R }Stqtrtvd' twd   tytttvd twd   tvd twd    tvd twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | |  | | |	 |: |6 |' | |š  }T  f dŽ  }Utu|T|U }Vtqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tytttvd twd   tvd twd    ttt | | | | | |  | |	 |6 |'  }W  f dµ  }Xtu|W|X }Ytqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   txtttvd twd   tvd twd    ttt | | | | | |  | |	 |6 |'  }Z  f d¶  }[tu|Z|[ }\tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tytttvd twd   tvd twd    ttt | | | |  | | | |	 |6 |-  }]  f d·  }^tu|]|^ }_tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   txtttvd twd   tvd twd    ttt | | | |  | | | |	 |6 |-  }`  f dž  }atu|`|a }btqtrtvd' twd   txtttvd twd   tvd twd    tvd twd   tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | |  | | |9 |	 |: |© 
 }c  f d¹  }dtu|c|d }etqtrtvd' twd   tytttvd twd   tvd twd    tvd twd   tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | |  | | |9 |	 |: |© 
 }f  f dº  }gtu|f|g }htqtrtvd' twd   txtttvd twd   tvd twd    tvd twd   tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | |  | | |9 |	 |: |' 
 }i  f d»  }jtu|i|j }ktqtrtvd' twd   tytttvd twd   tvd twd    tvd twd   tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | |  | | |9 |	 |: |' 
 }l  f dŒ  }mtu|l|m }ntqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |9 |	 |: |k |' |; |ª  }o  f dœ  }ptu|o|p }qtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |9 |	 |: |k |' |; |ª  }r  f dŸ  }stu|r|s }ttqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    tvd twd   tytttvd twd   tvd twd    ttt | | | |  | | |	 |: |k |' |e  }u  f d¿  }vtu|u|v }wtqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    tvd twd   txtttvd twd   tvd twd    ttt | | | |  | | |	 |: |k |' |e  }x  f dÀ  }ytu|x|y }ztqtrtvdm twd   tytttvd twd   tvd twd    tt|t~tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |9 |: |k |'  }{  f dÁ  }|tu|{|| }}tqtrtvdm twd   txtttvd twd   tvd twd    tt|t~tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |9 |: |k |'  }~  f dÂ  }tu|~| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |k |' |D |«  }  f dÃ  }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |k |' |D |«  }  f dÄ  }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |k |' |D |¬  }  f dÅ  }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |k |' |D |¬  }  f dÆ  }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 |: |k |' |F |* | |­ |®  }  f dÇ  }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 |: |k |' |F |* | |­ |®  }  f dÈ  }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |: |k |' |F |p |¯ |®  }  f dÉ  }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |: |k |' |F |p |¯ |®  }  f dÊ  }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    tztt | | | |  | | |9 | |: |k |' |°  }  f dË  }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    tztt | | | |  | | |9 | |: |k |' |°  }  f dÌ  }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |k |' |± |  }  f dÍ  } tu||  }¡tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |k |' |± |  }¢  f dÎ  }£tu|¢|£ }€tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |k |' |² |B |u  }¥  f dÏ  }Štu|¥|Š }§tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |k |' |² |B |u  }š  f dÐ  }©tu|š|© }ªtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 |: |k |' | |I | |­ |³  }«  f dÑ  }¬tu|«|¬ }­tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 |: |k |' | |I | |­ |³  }®  f dÒ  }¯tu|®|¯ }°tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |: |k |' | |I |Ž |µ |³  }±  f dÓ  }²tu|±|² }³tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |: |k |' | |I |Ž |µ |³  }Ž  f dÔ  }µtu|Ž|µ }¶tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |: |k |' | | |B |v |³  }·  f dÕ  }žtu|·|ž }¹tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |: |k |' | | |B |v |³  }º  f dÖ  }»tu|º|» }Œtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |k |' |w  }œ  f d×  }Ÿtu|œ|Ÿ }¿tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |k |' |w  }À  f dØ  }Átu|À|Á }Âtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 | |: |' |¶  }Ã  f dÙ  }Ätu|Ã|Ä }Åtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 | |: |' |¶  }Æ  f dÚ  }Çtu|Æ|Ç }Ètqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |' |H |· |=  }É  f dÛ  }Êtu|É|Ê }Ëtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |' |H |· |=  }Ì  f dÜ  }Ítu|Ì|Í }Îtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 | |: |' |ž |¹  }Ï  f dÝ  }Ðtu|Ï|Ð }Ñtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 | |: |' |ž |¹  }Ò  f dÞ  }Ótu|Ò|Ó }Ôtqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tytttvd twd   tvd twd    twd;  tt | | | |  | | |' | |º 
 }Õ  f dß  }Ötu|Õ|Ö }×tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    txtttvd twd   tvd twd    twd;  tt | | | |  | | |' | |º 
 }Ø  f dà  }Ùtu|Ø|Ù }Útqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tytttvd twd   tvd twd    twd;  tt | | | |  | | |' | |» 
 }Û  f dá  }Ütu|Û|Ü }Ýtqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    txtttvd twd   tvd twd    twd;  tt | | | |  | | |' | |» 
 }Þ  f dâ  }ßtu|Þ|ß }àtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 | |: |' |Œ |B  }á  f dã  }âtu|á|â }ãtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 | |: |' |Œ |B  }ä  f dä  }åtu|ä|å }ætqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 | |: |' |¹  }ç  f då  }ètu|ç|è }étqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 | |: |' |¹  }ê  f dæ  }ëtu|ê|ë }ìtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |- |H |I |= |f  }í  f dç  }îtu|í|î }ïtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |- |H |I |= |f  }ð  f dè  }ñtu|ð|ñ }òtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |: |- | |I |œ |f  }ó  f dé  }ôtu|ó|ô }õtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |: |- | |I |œ |f  }ö  f dê  }÷tu|ö|÷ }øtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |- |H | |M |¹ |f  }ù  f dë  }útu|ù|ú }ûtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |- |H | |M |¹ |f  }ü  f dì  }ýtu|ü|ý }þtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |: |- | | |f  }ÿ  f dí  } tu|ÿ|  }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |: |- | | |f  }  f dî  }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 | |- |< |M |G |¹ |f  }  f dï  }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 | |- |< |M |G |¹ |f  }  f dð  }	tu||	 }
tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 | |- |< |= |f  }  f dñ  }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 | |- |< |= |f  }  f dò  }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    ttvd( twd   tvd' twd   txtttvd twd   tvd twd    t~tvd
 twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |- 	 }  f dó  }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    ttvd( twd   tvd' twd   tytttvd twd   tvd twd    t~tvd
 twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |- 	 }  f dô  }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    tt | | | |  | | | |: |- |}  }  f dõ  }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    tt | | | |  | | | |: |- |}  }  f dö  }tu|| }tqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    ttt | | |  | | |	 |' |\ |Ÿ 
 }  f d÷  }tu|| }tqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    ttt | | |  | | |	 |' |\ |Ÿ 
 }   f dø  }!tu| |! }"tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztxtttvd twd   tvd twd    twd;  tt | | | | |9 | |: |' |¿ 
 }#  f dù  }$tu|#|$ }%tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztytttvd twd   tvd twd    twd;  tt | | | | |9 | |: |' |¿ 
 }&  f dú  }'tu|&|' }(tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztxtttvd twd   tvd twd    twd;  tt | | | | |9 | |: |' |? 
 })  f dû  }*tu|)|* }+tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztytttvd twd   tvd twd    twd;  tt | | | | |9 | |: |' |? 
 },  f dü  }-tu|,|- }.tqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    ttt | | |  | | |' |À |Á 	 }/  f dý  }0tu|/|0 }1tqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    ttt | | |  | | |' |À |Á 	 }2  f dþ  }3tu|2|3 }4tqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | |  | | |9 |	 |: |' |`  }5  f dÿ  }6tu|5|6 }7tqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | |  | | |9 |	 |: |' |`  }8  f d   }9tu|8|9 }:tqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    twd;  tt | | |  | | | |	 |' |Â 
 };  f d  }<tu|;|< }=tqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    twd;  tt | | |  | | | |	 |' |Â 
 }>  f d  }?tu|>|? }@tqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | |  | | |9 |	 |: |' |W  }A  f d  }Btu|A|B }Ctqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | |  | | |9 |	 |: |' |W  }D  f d  }Etu|D|E }Ftqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | |  | | |9 |	 |' |; |< |Ã  }G  f d  }Htu|G|H }Itqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | |  | | |9 |	 |' |; |< |Ã  }J  f d  }Ktu|J|K }Ltqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztxtttvd twd   tvd twd    twd;  tt | | | | |9 |: |' | |Ä |B  }M  f d  }Ntu|M|N }Otqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztytttvd twd   tvd twd    twd;  tt | | | | |9 |: |' | |Ä |B  }P  f d  }Qtu|P|Q }Rtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztxtttvd twd   tvd twd    twd;  tt | | | | |9 | |: |' |Å 
 }S  f d	  }Ttu|S|T }Utqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztytttvd twd   tvd twd    twd;  tt | | | | |9 | |: |' |Å 
 }V  f d
  }Wtu|V|W }Xtqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    twd;  tt | | |  | | | |	 |' | 
 }Y  f d  }Ztu|Y|Z }[tqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    twd;  tt | | |  | | | |	 |' | 
 }\  f d  }]tu|\|] }^tqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    twdÉ  tt | | |  | | |	 |' | | 
 }_  f d  }`tu|_|` }atqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    twdÉ  tt | | |  | | |	 |' | | 
 }b  f d  }ctu|b|c }dtqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    twdÉ  tt | | |  | | | |	 |' |C 
 }e  f d  }ftu|e|f }gtqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    twdÉ  tt | | |  | | | |	 |' |C 
 }h  f d  }itu|h|i }jtqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    ttt | | |  | | |	 |' |e |; 
 }k  f d  }ltu|k|l }mtqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    ttt | | |  | | |	 |' |e |; 
 }n  f d  }otu|n|o }ptqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    ttt | | |  | | | |	 |' |e |  }q  f d  }rtu|q|r }stqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    ttt | | |  | | | |	 |' |e |  }t  f d  }utu|t|u }vtqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | |  | | |9 |	 |: |' |` |Æ  }w  f d  }xtu|w|x }ytqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | |  | | |9 |	 |: |' |` |Æ  }z  f d  }{tu|z|{ }|tqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | |  | | |	 |: |' |; 
 }}  f d  }~tu|}|~ }tqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | |  | | |	 |: |' |; 
 }  f d  }tu|| }tqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | |  | | | |	 |: |' |  }  f d  }tu|| }tqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | |  | | | |	 |: |' |  }  f d  }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzt|tvd' twd   txtttvd twd   tvd twd     tt | | |  | | |9 |- | | |Ç  }  f d  }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzt|tvd' twd   tytttvd twd   tvd twd     tt | | |  | | |9 |- | | |Ç  }  f d  }tu|| }tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzt|tvd' twd   txtttvd twd   tvd twd     tt | | | | |9 |- | |I |È 
 }  f d  }tu|| }tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzt|tvd' twd   tytttvd twd   tvd twd     tt | | | | |9 |- | |I |È 
 }  f d  }tu|| }tqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    twd;  tt | | |  | | | |	 |- |É 
 }  f d  }tu|| }tqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    twd;  tt | | |  | | | |	 |- |É 
 }  f d   }tu|| }tqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    twdÉ  tt | | |  | | |- | | | 
 }  f d!  }tu|| }tqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    twdÉ  tt | | |  | | |- | | | 
 }  f d"  }tu|| } tqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    twdÉ  tt | | |  | | |	 |- | | |Ê |Ë  }¡  f d#  }¢tu|¡|¢ }£tqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    twdÉ  tt | | |  | | |	 |- | | |Ê |Ë  }€  f d$  }¥tu|€|¥ }Štqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    twdÉ  tt | | |  | | |	 |- | | |Ê |Ì  }§  f d%  }štu|§|š }©tqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    twdÉ  tt | | |  | | |	 |- | | |Ê |Ì  }ª  f d&  }«tu|ª|« }¬tqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    twdÉ  tt | | |  | | | |- |É |d |* | |Í  }­  f d'  }®tu|­|® }¯tqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    twdÉ  tt | | |  | | | |- |É |d |* | |Í  }°  f d(  }±tu|°|± }²tqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    twdÉ  tt | | |  | | | |- |É |d |* | |Ì  }³  f d)  }Žtu|³|Ž }µtqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    twdÉ  tt | | |  | | | |- |É |d |* | |Ì  }¶  f d*  }·tu|¶|· }žtqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    twdÉ  tt | | |  | | | |	 |- |É |d |p |Î |Ì  }¹  f d+  }ºtu|¹|º }»tqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    twdÉ  tt | | |  | | | |	 |- |É |d |p |Î |Ì  }Œ  f d,  }œtu|Œ|œ }Ÿtqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    twdâ  tt | | |  | | | |	 |- | |Ï |Ð |Ñ |Ò |C  }¿  f d-  }Àtu|¿|À }Átqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    twdâ  tt | | |  | | | |	 |- | |Ï |Ð |Ñ |Ò |C  }Â  f d.  }Ãtu|Â|Ã }Ätqtrtvd' twd   txtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tztytttvd twd   tvd twd    ttt | | |  | | |- |Ó |Ô 	 }Å  f d/  }Ætu|Å|Æ }Çtqtrtvd' twd   tytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tztxtttvd twd   tvd twd    ttt | | |  | | |- |Ó |Ô 	 }È  f d0  }Étu|È|É }Êtqtrtvdm twd   tytttvd twd   tvd twd    ttxtttvd twd   tvd twd    t{t~tvd
 twd   txtttvd twd   tvd twd    tt | | | | |9 |: |- | |Õ 
 }Ë  f d1  }Ìtu|Ë|Ì }Ítqtrtvdm twd   txtttvd twd   tvd twd    ttytttvd twd   tvd twd    t{t~tvd
 twd   tytttvd twd   tvd twd    tt | | | | |9 |: |- | |Õ 
 }Î  f d2  }Ïtu|Î|Ï }Ðtqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |M |×  }Ñ  f d3  }Òtu|Ñ|Ò }Ótqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |M |×  }Ô  f d4  }Õtu|Ô|Õ }Ötqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |M |Ø  }×  f d5  }Øtu|×|Ø }Ùtqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |M |Ø  }Ú  f d6  }Ûtu|Ú|Û }Ütqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |M 
 }Ý  f d7  }Þtu|Ý|Þ }ßtqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |M 
 }à  f d8  }átu|à|á }âtqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |= |  }ã  f d9  }ätu|ã|ä }åtqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |= |  }æ  f d:  }çtu|æ|ç }ètqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |= |  }é  f d;  }êtu|é|ê }ëtqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |= |  }ì  f d<  }ítu|ì|í }îtqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |= 
 }ï  f d=  }ðtu|ï|ð }ñtqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |= 
 }ò  f d>  }ótu|ò|ó }ôtqtrt|tvdm twd   tytttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    t|txtttvd twd   tvd twd     tt | | | | |9 |-  }õ  f d?  }ötu|õ|ö }÷tqtrt|tvdm twd   txtttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    t|tytttvd twd   tvd twd     tt | | | | |9 |-  }ø  f d@  }ùtu|ø|ù }útqtrt|tvdm twd   tytttvd twd   tvd twd     t|ttxtttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    tt | | |  | | |9 |-  }û  f dA  }ütu|û|ü }ýtqtrt|tvdm twd   txtttvd twd   tvd twd     t|ttytttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    tt | | |  | | |9 |-  }þ  f dB  }ÿtu|þ|ÿ }   f dC  }tqtrt|tvd' twd   txtttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    t|tytttvd twd   tvd twd     tt | | |  | | |-  }tu|| }  f dD  }tqtrt|tvd' twd   tytttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    t|txtttvd twd   tvd twd     tt | | |  | | |-  }tu|| }tqtrt|tvd' twd   txtttvd twd   tvd twd     t|tvdm twd   tytttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    tt | | |  | | |9 |-  }  f dE  }tu|| }	tqtrt|tvd' twd   tytttvd twd   tvd twd     t|tvdm twd   txtttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    tt | | |  | | |9 |-  }
  f dF  }tu|
| }tqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |Ù |  }  f dG  }tu|| }tqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |Ù |  }  f dH  }tu|| }tqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |Ù |  }  f dI  }tu|| }tqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tt | | |  | | |9 |- |Ö |Ù |  }  f dJ  }tu|| }tqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | |  | | |9 |	 |: |- |; |Ú  }  f dK  }tu|| }tqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | |  | | |9 |	 |: |- |; |Ú  }  f dL  }tu|| }tqtrtvd' twd   txtttvd twd   tvd twd    t{tvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tztt | | |  | | |9 |- |Û |a |M |Ü  }  f dM  } tu||  }!tqtrtvd' twd   tytttvd twd   tvd twd    t{tvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tztt | | |  | | |9 |- |Û |a |M |Ü  }"  f dN  }#tu|"|# }$tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tytttvd twd   tvd twd    ttt | | | |  | | |	 |' |\ |Ÿ  }%  f dO  }&tu|%|& }'tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{txtttvd twd   tvd twd    ttt | | | |  | | |	 |' |\ |Ÿ  }(  f dP  })tu|(|) }*tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |' |; |< |Ã  }+  f dQ  },tu|+|, }-tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |' |; |< |Ã  }.  f dR  }/tu|.|/ }0tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tytttvd twd   tvd twd    twd;  tt | | | |  | | | |	 |' |  }1  f dS  }2tu|1|2 }3tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{txtttvd twd   tvd twd    twd;  tt | | | |  | | | |	 |' |  }4  f dT  }5tu|4|5 }6tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tytttvd twd   tvd twd    ttt | | | |  | | |	 |' |e |;  }7  f dU  }8tu|7|8 }9tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{txtttvd twd   tvd twd    ttt | | | |  | | |	 |' |e |;  }:  f dV  };tu|:|; }<tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tytttvd twd   tvd twd    ttt | | | |  | | | |	 |' |e |  }=  f dW  }>tu|=|> }?tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{txtttvd twd   tvd twd    ttt | | | |  | | | |	 |' |e |  }@  f dX  }Atu|@|A }Btqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |: |' |` |Æ  }C  f dY  }Dtu|C|D }Etqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |: |' |` |Æ  }F  f dZ  }Gtu|F|G }Htqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |	 |: |' |;  }I  f d[  }Jtu|I|J }Ktqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |	 |: |' |;  }L  f d\  }Mtu|L|M }Ntqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | | |	 |: |' |  }O  f d]  }Ptu|O|P }Qtqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | | |	 |: |' |  }R  f d^  }Stu|R|S }Ttqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    t{tytttvd twd   tvd twd    twd;  tt | | | |  | | | |	 |- |É  }U  f d_  }Vtu|U|V }Wtqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    t{txtttvd twd   tvd twd    twd;  tt | | | |  | | | |	 |- |É  }X  f d`  }Ytu|X|Y }Ztqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    t{tytttvd twd   tvd twd    ttt | | | |  | | | |	 |- |Ý |É  }[  f da  }\tu|[|\ }]tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    t{txtttvd twd   tvd twd    ttt | | | |  | | | |	 |- |Ý |É  }^  f db  }_tu|^|_ }`tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 |: |- |  }a  f dc  }btu|a|b }ctqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 |: |- |  }d  f dd  }etu|d|e }ftqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |9 | |	 |: |-  }g  f de  }htu|g|h }itqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |9 | |	 |: |-  }j  f df  }ktu|j|k }ltqtrtvdm twd   tytttvd twd   tvd twd    ttvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |9 | |	 |: |Y  }m  f dg  }ntu|m|n }otqtrtvdm twd   txtttvd twd   tvd twd    ttvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |9 | |	 |: |Y  }p  f dh  }qtu|p|q }rtqtrt|tvdm twd   txtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |j |Þ 
 }s  f di  }ttu|s|t }utqtrt|tvdm twd   tytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |j |Þ 
 }v  f dj  }wtu|v|w }xtqtrt|tvdm twd   txtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |j |- |~  }y  f dk  }ztu|y|z }{tqtrt|tvdm twd   tytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |j |- |~  }|  f dl  }}tu|||} }~tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|tvdm twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |j |' 
 }  f dm  }tu|| }tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|tvdm twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |j |' 
 }  f dn  }tu|| }tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    t|txtttvd twd   tvd twd     tt | | | |  | | |ß |à |á 
 }  f do  }tu|| }tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    t|tytttvd twd   tvd twd     tt | | | |  | | |ß |à |á 
 }  f dp  }tu|| }tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|tvdm twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |j |- |}  }  f dq  }tu|| }tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|tvdm twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |j |- |}  }  f dr  }tu|| }tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|tvdm twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |j |- |~  }  f ds  }tu|| }tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|tvdm twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |j |- |~  }  f dt  }tu|| }tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    txtttvd twd   tvd twd    tt | | | |  | | |j |' 	 }  f du  }tu|| }tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    tytttvd twd   tvd twd    tt | | | |  | | |j |' 	 }  f dv  }tu|| }tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    txtttvd twd   tvd twd    tt | | | |  | | |j |- 	 }  f dw  }tu|| }tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    tytttvd twd   tvd twd    tt | | | |  | | |j |- 	 }   f dx  }¡tu| |¡ }¢tqtrt|tvdm twd   txtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |j |Þ 
 }£  f dy  }€tu|£|€ }¥tqtrt|tvdm twd   tytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |j |Þ 
 }Š  f dz  }§tu|Š|§ }štqtrt|tvdm twd   txtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |j |- |~  }©  f d{  }ªtu|©|ª }«tqtrt|tvdm twd   tytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |j |- |~  }¬  f d|  }­tu|¬|­ }®tqtrtwd  t|tvdm twd   txtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |j |Þ 
 }¯  f d}  }°tu|¯|° }±tqtrtwd  t|tvdm twd   tytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |j |Þ 
 }²  f d~  }³tu|²|³ }Žtqtrtwd  t|tvdm twd   txtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |9 |j |- |~  }µ  f d  }¶tu|µ|¶ }·tqtrtwd  t|tvdm twd   tytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |9 |j |- |~  }ž  f d  }¹tu|ž|¹ }ºtqtrtwd  t|t~tvd
 twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    txtttvd twd   tvd twd    tt | | | |  | | |j |' 	 }»  f d  }Œtu|»|Œ }œtqtrtwd  t|t~tvd
 twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    tytttvd twd   tvd twd    tt | | | |  | | |j |' 	 }Ÿ  f d  }¿tu|Ÿ|¿ }Àtqtrtwd  t|t~tvd
 twd   txtttvd twd   tvd twd     ttvd' twd   txtttvd twd   tvd twd    txtttvd twd   tvd twd    tt | | | |  | | |j |- 	 }Á  f d  }Âtu|Á|Â }Ãtqtrtwd  t|t~tvd
 twd   tytttvd twd   tvd twd     ttvd' twd   tytttvd twd   tvd twd    tytttvd twd   tvd twd    tt | | | |  | | |j |- 	 }Ä  f d  }Åtu|Ä|Å }Ætqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     txtttvd twd   tvd twd    tt | | | |  | | |j |' |k 
 }Ç  f d  }Ètu|Ç|È }Étqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tytttvd twd   tvd twd    tt | | | |  | | |j |' |k 
 }Ê  f d  }Ëtu|Ê|Ë }Ìtqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     txtttvd twd   tvd twd    tt | | | |  | | |j |' |â 
 }Í  f d  }Îtu|Í|Î }Ïtqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tytttvd twd   tvd twd    tt | | | |  | | |j |' |â 
 }Ð  f d  }Ñtu|Ð|Ñ }Òtqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     txtttvd twd   tvd twd    tt | | | |  | | |j |- |} 
 }Ó  f d  }Ôtu|Ó|Ô }Õtqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tytttvd twd   tvd twd    tt | | | |  | | |j |- |} 
 }Ö  f d  }×tu|Ö|× }Øtqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     txtttvd twd   tvd twd    tt | | | |  | | |j |- |~ 
 }Ù  f d  }Útu|Ù|Ú }Ûtqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tytttvd twd   tvd twd    tt | | | |  | | |j |- |~ 
 }Ü  f d  }Ýtu|Ü|Ý }Þtqtrtwd  t|t~tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     txtttvd twd   tvd twd    tt | | | |  | | |j |' |} 
 }ß  f d  }àtu|ß|à }átqtrtwd  t|t~tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tytttvd twd   tvd twd    tt | | | |  | | |j |' |} 
 }â  f d  }ãtu|â|ã }ätqtrtwd  t|t~tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     txtttvd twd   tvd twd    tt | | | |  | | |j |ã 	 }å  f d  }ætu|å|æ }çtqtrtwd  t|t~tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tytttvd twd   tvd twd    tt | | | |  | | |j |ã 	 }è  f d  }étu|è|é }êtqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     txtttvd twd   tvd twd    tt | | | |  | | |j |' |} 
 }ë  f d  }ìtu|ë|ì }ítqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tytttvd twd   tvd twd    tt | | | |  | | |j |' |} 
 }î  f d  }ïtu|î|ï }ðtqtrt|t~tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     txtttvd twd   tvd twd    tt | | | |  | | |j |ã 	 }ñ  f d  }òtu|ñ|ò }ótqtrt|t~tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tytttvd twd   tvd twd    tt | | | |  | | |j |ã 	 }ô  f d  }õtu|ô|õ }ötqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    tvd twd   txtttvd twd   tvd twd    ttt | | | |  | | | |k |' |ä |  }÷  f d  }øtu|÷|ø }ùtqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    tvd twd   tytttvd twd   tvd twd    ttt | | | |  | | | |k |' |ä |  }ú  f d  }ûtu|ú|û }ütqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |j |' |~ |c  }ý  f d  }þtu|ý|þ }ÿtqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |j |' |~ |c  } 	  f d  }	tu| 	|	 }	tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |: |j |å |æ  }	  f d  }	tu|	|	 }	tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |: |j |å |æ  }	  f d  }	tu|	|	 }	tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |æ  }		  f d  }
	tu|		|
	 }	tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: |æ  }	  f d  }	tu|	|	 }	tqtrtvdm twd   txtttvd twd   tvd twd    tvdh twd   ttvd' twd   txtttvd twd   tvd twd    tvd twd   tvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | | |  | | |9 |: |j |Y |; |  }	  f d  }	tu|	|	 }	tqtrtvdm twd   tytttvd twd   tvd twd    tvdh twd   ttvd' twd   tytttvd twd   tvd twd    tvd twd   tvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | | |  | | |9 |: |j |Y |; |  }	  f d  }	tu|	|	 }	tqtrtvdm twd   txtttvd twd   tvd twd    tvdh twd   ttvd' twd   txtttvd twd   tvd twd    tvd twd   tvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | | |  | | |9 | |	 |: |j |Y |ç  }	  f d  }	tu|	|	 }	tqtrtvdm twd   tytttvd twd   tvd twd    tvdh twd   ttvd' twd   tytttvd twd   tvd twd    tvd twd   tvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | | |  | | |9 | |	 |: |j |Y |ç  }	  f d   }	tu|	|	 }	tqtrtvdm twd   txtttvd twd   tvd twd    tvdh twd   t~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |9 | |: |  }	  f d¡  }	tu|	|	 }	tqtrtvdm twd   tytttvd twd   tvd twd    tvdh twd   t~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |9 | |: |  }	  f d¢  }	tu|	|	 } 	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    t{txtttvd twd   tvd twd    tvdh twd   tt | | | |  | | |	 | |; |è  }!	  f d£  }"	tu|!	|"	 }#	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    t{tytttvd twd   tvd twd    tvdh twd   tt | | | |  | | |	 | |; |è  }$	  f d€  }%	tu|$	|%	 }&	tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |: | |; |Y  }'	  f d¥  }(	tu|'	|(	 })	tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 |	 |: | |; |Y  }*	  f dŠ  }+	tu|*	|+	 },	tqtrtvdm twd   txtttvd twd   tvd twd    tvdh twd   t~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: | |  }-	  f d§  }.	tu|-	|.	 }/	tqtrtvdm twd   tytttvd twd   tvd twd    tvdh twd   t~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: | |  }0	  f dš  }1	tu|0	|1	 }2	tqtrtvdm twd   txtttvd twd   tvd twd    tvdh twd   ttvd' twd   txtttvd twd   tvd twd    tvd twd   tvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | | |  | | |9 |: |j |Y |; |  }3	  f d©  }4	tu|3	|4	 }5	tqtrtvdm twd   tytttvd twd   tvd twd    tvdh twd   ttvd' twd   tytttvd twd   tvd twd    tvd twd   tvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | | |  | | |9 |: |j |Y |; |  }6	  f dª  }7	tu|6	|7	 }8	tqtrtvdm twd   txtttvd twd   tvd twd    tvdh twd   ttvd' twd   txtttvd twd   tvd twd    tvd twd   tvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | | |  | | |9 | |	 |: |j |Y |ç  }9	  f d«  }:	tu|9	|:	 };	tqtrtvdm twd   tytttvd twd   tvd twd    tvdh twd   ttvd' twd   tytttvd twd   tvd twd    tvd twd   tvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | | |  | | |9 | |	 |: |j |Y |ç  }<	  f d¬  }=	tu|<	|=	 }>	tqtrtvdm twd   txtttvd twd   tvd twd    tvdh twd   t~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |9 |	 |: |;  }?	  f d­  }@	tu|?	|@	 }A	tqtrtvdm twd   tytttvd twd   tvd twd    tvdh twd   t~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |9 |	 |: |;  }B	  f d®  }C	tu|B	|C	 }D	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    tvd twd   twd  txtttvd twd   tvd twd    tvdh twd   tt | | | |  | | | | | |è  }E	  f d¯  }F	tu|E	|F	 }G	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    tvd twd   twd  tytttvd twd   tvd twd    tvdh twd   tt | | | |  | | | | | |è  }H	  f d°  }I	tu|H	|I	 }J	tqtrtvdm twd   txtttvd twd   tvd twd    tt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |9 | |: | | |Y  }K	  f d±  }L	tu|K	|L	 }M	tqtrtvdm twd   tytttvd twd   tvd twd    tt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |9 | |: | | |Y  }N	  f d²  }O	tu|N	|O	 }P	tqtrtvdm twd   txtttvd twd   tvd twd    tvdh twd   t~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: | |  }Q	  f d³  }R	tu|Q	|R	 }S	tqtrtvdm twd   tytttvd twd   tvd twd    tvdh twd   t~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |9 | |	 |: | |  }T	  f dŽ  }U	tu|T	|U	 }V	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    txtttvd twd   tvd twd    tvd twd   tt | | | | |ê |ë |é |' |; |  }W	  f d·  }X	tu|W	|X	 }Y	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tytttvd twd   tvd twd    tvd twd   tt | | | | |ê |ë |é |' |; |  }Z	  f dž  }[	tu|Z	|[	 }\	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ë |	 |k |' |; |l  }]	  f d¹  }^	tu|]	|^	 }_	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ë |	 |k |' |; |l  }`	  f dº  }a	tu|`	|a	 }b	tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ë | |j  }c	  f d»  }d	tu|c	|d	 }e	tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ë | |j  }f	  f dŒ  }g	tu|f	|g	 }h	tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    t|t~tvd
 twd   txtttvd twd   tvd twd     t|ttvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |ê |ë |k |'  }i	  f dœ  }j	tu|i	|j	 }k	tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    t|t~tvd
 twd   tytttvd twd   tvd twd     t|ttvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |ê |ë |k |'  }l	  f dŸ  }m	tu|l	|m	 }n	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ë | |	 |k |' |ì |s  }o	  f d¿  }p	tu|o	|p	 }q	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ë | |	 |k |' |ì |s  }r	  f dÀ  }s	tu|r	|s	 }t	tqtrttvd' twd   txtttvd twd   tvd twd    t{tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    t|tvd twd   tvd
 twd   txtttvd twd   tvd twd     tt | | | |  | | |ê |ë |	 |k |'  }u	  f dÁ  }v	tu|u	|v	 }w	tqtrttvd' twd   tytttvd twd   tvd twd    t{tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    t|tvd twd   tvd
 twd   tytttvd twd   tvd twd     tt | | | |  | | |ê |ë |	 |k |'  }x	  f dÂ  }y	tu|x	|y	 }z	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tzttvd' twd   txtttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ë | |	 |k |' |í |î  }{	  f dÃ  }|	tu|{	||	 }}	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tzttvd' twd   tytttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ë | |	 |k |' |í |î  }~	  f dÄ  }	tu|~	|	 }	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    t{tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ë | |	 |k |' |{ |ï  }	  f dÅ  }	tu|	|	 }	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    t{tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ë | |	 |k |' |{ |ï  }	  f dÆ  }	tu|	|	 }	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë | |	 |j |' |~ | |ð  }	  f dÇ  }	tu|	|	 }	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë | |	 |j |' |~ | |ð  }	  f dÈ  }	tu|	|	 }	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |j |' |~ | |ñ | |f |  }	  f dÉ  }	tu|	|	 }	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |j |' |~ | |ñ | |f |  }	  f dÊ  }	tu|	|	 }	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |	 |j |' |~ | |ñ |p |f |  }	  f dË  }	tu|	|	 }	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |	 |j |' |~ | |ñ |p |f |  }	  f dÌ  }	tu|	|	 }	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |j |' |~ | |z | |f |  }	  f dÍ  }	tu|	|	 }	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |j |' |~ | |z | |f |  }	  f dÎ  }	tu|	|	 }	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |	 |j |' |~ | |z | |f |  }	  f dÏ  } 	tu|	| 	 }¡	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |	 |j |' |~ | |z | |f |  }¢	  f dÐ  }£	tu|¢	|£	 }€	tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |	 |j |' |~ |ò  }¥	  f dÑ  }Š	tu|¥	|Š	 }§	tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |	 |j |' |~ |ò  }š	  f dÒ  }©	tu|š	|©	 }ª	tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |j |' |~ |* |  }«	  f dÓ  }¬	tu|«	|¬	 }­	tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |j |' |~ |* |  }®	  f dÔ  }¯	tu|®	|¯	 }°	tqtrt|t~tvd
 twd   txtttvd twd   tvd twd     tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |	 |j |' |~ |p  }±	  f dÕ  }²	tu|±	|²	 }³	tqtrt|t~tvd
 twd   tytttvd twd   tvd twd     tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |	 |j |' |~ |p  }Ž	  f dÖ  }µ	tu|Ž	|µ	 }¶	tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    t|t~tvd
 twd   txtttvd twd   tvd twd     t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |ê |ë |j |' |~  }·	  f d×  }ž	tu|·	|ž	 }¹	tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    t|t~tvd
 twd   tytttvd twd   tvd twd     t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |ê |ë |j |' |~  }º	  f dØ  }»	tu|º	|»	 }Œ	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë | |j |' |~ |* | |ó  }œ	  f dÙ  }Ÿ	tu|œ	|Ÿ	 }¿	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë | |j |' |~ |* | |ó  }À	  f dÚ  }Á	tu|À	|Á	 }Â	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë | |j |' |~ |* | |ó  }Ã	  f dÛ  }Ä	tu|Ã	|Ä	 }Å	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë | |j |' |~ |* | |ó  }Æ	  f dÜ  }Ç	tu|Æ	|Ç	 }È	tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    t|t~tvd
 twd   txtttvd twd   tvd twd     tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ë |j |' |~  }É	  f dÝ  }Ê	tu|É	|Ê	 }Ë	tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    t|t~tvd
 twd   tytttvd twd   tvd twd     tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ë |j |' |~  }Ì	  f dÞ  }Í	tu|Ì	|Í	 }Î	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ë | |j |' |~ |s  }Ï	  f dß  }Ð	tu|Ï	|Ð	 }Ñ	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ë | |j |' |~ |s  }Ò	  f dà  }Ó	tu|Ò	|Ó	 }Ô	tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë | |	 |j |' |~ |ô  }Õ	  f dá  }Ö	tu|Õ	|Ö	 }×	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë | |	 |j |' |~ |ô  }Ø	  f dâ  }Ù	tu|Ø	|Ù	 }Ú	tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |j |- |~ | | |  }Û	  f dã  }Ü	tu|Û	|Ü	 }Ý	tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |j |- |~ | | |  }Þ	  f dä  }ß	tu|Þ	|ß	 }à	tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |	 |j |- |~ | | |õ  }á	  f då  }â	tu|á	|â	 }ã	tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |	 |j |- |~ | | |õ  }ä	  f dæ  }å	tu|ä	|å	 }æ	tqtrt|ttvd' twd   txtttvd twd   tvd twd     tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd
 twd   txtttvd twd   tvd twd    twd  d; tt | | |  | | |ê |ë |~ 	 }ç	  f dç  }è	tu|ç	|è	 }é	tqtrt|ttvd' twd   tytttvd twd   tvd twd     tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd
 twd   tytttvd twd   tvd twd    twd  d; tt | | |  | | |ê |ë |~ 	 }ê	  f dè  }ë	tu|ê	|ë	 }ì	tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    twd  d; tt | | | |  | | |ê |ë |j |- |~  }í	  f dé  }î	tu|í	|î	 }ï	tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    twd  d; tt | | | |  | | |ê |ë |j |- |~  }ð	  f dê  }ñ	tu|ð	|ñ	 }ò	tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    t|tvd' twd   txtttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    twd  d; tt | | |  | | |ê |ë |- 	 }ó	  f dë  }ô	tu|ó	|ô	 }õ	tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    t|tvd' twd   tytttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    twd  d; tt | | |  | | |ê |ë |- 	 }ö	  f dì  }÷	tu|ö	|÷	 }ø	tqtrttvd¶twd   txtttvd twd   tvd twd    tvd
 twd   txtttvd twd   tvd twd    twd  d; t|ttvd' twd   txtttvd twd   tvd twd     tt | | |  | | |ê |ë |~ |ö |  }ù	  f dí  }ú	tu|ù	|ú	 }û	tqtrttvd¶twd   tytttvd twd   tvd twd    tvd
 twd   tytttvd twd   tvd twd    twd  d; t|ttvd' twd   tytttvd twd   tvd twd     tt | | |  | | |ê |ë |~ |ö |  }ü	  f dî  }ý	tu|ü	|ý	 }þ	tqtrttvd¶twd   txtttvd twd   tvd twd    tvd
 twd   txtttvd twd   tvd twd    twd  d; t|ttvd' twd   txtttvd twd   tvd twd     tt | | |  | | |ê |ë |~ |ö |  }ÿ	  f dï  } 
tu|ÿ	| 
 }
tqtrttvd¶twd   tytttvd twd   tvd twd    tvd
 twd   tytttvd twd   tvd twd    twd  d; t|ttvd' twd   tytttvd twd   tvd twd     tt | | |  | | |ê |ë |~ |ö |  }
  f dð  }
tu|
|
 }
tqtrttvd¶twd   txtttvd twd   tvd twd    t~tvd
 twd   txtttvd twd   tvd twd    twd  d; t|ttvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |ê |ë |j |- |~ |ö |  }
  f dñ  }
tu|
|
 }
tqtrttvd¶twd   tytttvd twd   tvd twd    t~tvd
 twd   tytttvd twd   tvd twd    twd  d; t|ttvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |ê |ë |j |- |~ |ö |  }
  f dò  }	
tu|
|	
 }

tqtrttvd¶twd   txtttvd twd   tvd twd    t~tvd
 twd   txtttvd twd   tvd twd    twd  d; t|ttvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |ê |ë |j |- |~ |ö |  }
  f dó  }
tu|
|
 }
tqtrttvd¶twd   tytttvd twd   tvd twd    t~tvd
 twd   tytttvd twd   tvd twd    twd  d; t|ttvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |ê |ë |j |- |~ |ö |  }
  f dô  }
tu|
|
 }
tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    t|ttvd' twd   txtttvd twd   tvd twd     tvd twd   tvd
 twd   txtttvd twd   tvd twd    twd  d; tt | | | |  | | |ê |ë |j |- |~ |÷  }
  f dõ  }
tu|
|
 }
tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    t|ttvd' twd   tytttvd twd   tvd twd     tvd twd   tvd
 twd   tytttvd twd   tvd twd    twd  d; tt | | | |  | | |ê |ë |j |- |~ |÷  }
  f dö  }
tu|
|
 }
tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |j |- |~ | | |  }
  f d÷  }
tu|
|
 }
tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |j |- |~ | | |  }
  f dø  }
tu|
|
 }
tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |	 |j |- |~ | | |  }
  f dù  }
tu|
|
 }
tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |	 |j |- |~ | | |  } 
  f dú  }!
tu| 
|!
 }"
tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ë |j |- |~  }#
  f dû  }$
tu|#
|$
 }%
tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ë |j |- |~  }&
  f dü  }'
tu|&
|'
 }(
tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ë | |j |- |~  })
  f dý  }*
tu|)
|*
 }+
tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ë | |j |- |~  },
  f dþ  }-
tu|,
|-
 }.
tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    t|tvd twd   tvd
 twd   txtttvd twd   tvd twd     tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |j |- |~ |* |ø  }/
  f dÿ  }0
tu|/
|0
 }1
tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    t|tvd twd   tvd
 twd   tytttvd twd   tvd twd     tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ë |j |- |~ |* |ø  }2
  f d   }3
tu|2
|3
 }4
tqtrttvd¶twd   txtttvd twd   tvd twd    t|t~tvd
 twd   txtttvd twd   tvd twd     t|txtttvd twd   tvd twd     tt | | | | |ê |ë |á |à |ö 
 }5
  f d  }6
tu|5
|6
 }7
tqtrttvd¶twd   tytttvd twd   tvd twd    t|t~tvd
 twd   tytttvd twd   tvd twd     t|tytttvd twd   tvd twd     tt | | | | |ê |ë |á |à |ö 
 }8
  f d  }9
tu|8
|9
 }:
tqtrttvd¶twd   txtttvd twd   tvd twd    t|ttxtttvd twd   tvd twd     t|t~tvd
 twd   txtttvd twd   tvd twd     tt | | | | |  |ê |ë |á |à |ö  };
  f d  }<
tu|;
|<
 }=
tqtrttvd¶twd   tytttvd twd   tvd twd    t|ttytttvd twd   tvd twd     t|t~tvd
 twd   tytttvd twd   tvd twd     tt | | | | |  |ê |ë |á |à |ö  }>
  f d  }?
tu|>
|?
 }@
tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    t|t~tvd
 twd   txtttvd twd   tvd twd     t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |ê |ë |j |- |~  }A
  f d  }B
tu|A
|B
 }C
tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    t|t~tvd
 twd   tytttvd twd   tvd twd     t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |ê |ë |j |- |~  }D
  f d  }E
tu|D
|E
 }F
tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |ê |ë | |	 |j |- |~  }G
  f d  }H
tu|G
|H
 }I
tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |ê |ë | |	 |j |- |~  }J
  f d  }K
tu|J
|K
 }L
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvd' twd   txtttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    ttt | | | |  | | |ê |ë | |	 |: |k |'  }M
  f d	  }N
tu|M
|N
 }O
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvd' twd   tytttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    ttt | | | |  | | |ê |ë | |	 |: |k |'  }P
  f d
  }Q
tu|P
|Q
 }R
tqtrtvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |ë |ú | |ù  }S
  f d  }T
tu|S
|T
 }U
tqtrtvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |ë |ú | |ù  }V
  f d  }W
tu|V
|W
 }X
tqtrttvdtwd   txtttvd twd   tvd twd    twd;  txtttvd twd   tvd twd    tvd	 twd   tt | | |ê |ú |û  }Y
  f d  }Z
tu|Y
|Z
 }[
tqtrttvdtwd   tytttvd twd   tvd twd    twd;  tytttvd twd   tvd twd    tvd	 twd   tt | | |ê |ú |û  }\
  f d  }]
tu|\
|]
 }^
tqtrtvd
 twd   txtttvd twd   tvd twd    tzttvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |ê |ú | |ü  }_
  f d  }`
tu|_
|`
 }a
tqtrtvd
 twd   tytttvd twd   tvd twd    tzttvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |ê |ú | |ü  }b
  f d  }c
tu|b
|c
 }d
tqtrtvd
 twd   txtttvd twd   tvd twd    tzttvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |ê |ú | |  }e
  f d  }f
tu|e
|f
 }g
tqtrtvd
 twd   tytttvd twd   tvd twd    tzttvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |ê |ú | |  }h
  f d  }i
tu|h
|i
 }j
tqtrtvd
 twd   txtttvd twd   tvd twd    tvd	 twd   ttvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |ê |ú | |g  }k
  f d  }l
tu|k
|l
 }m
tqtrtvd
 twd   tytttvd twd   tvd twd    tvd	 twd   ttvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |ê |ú | |g  }n
  f d  }o
tu|n
|o
 }p
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | | |ê |ë |ú | |ý 
 }q
  f d  }r
tu|q
|r
 }s
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | | |ê |ë |ú | |ý 
 }t
  f d  }u
tu|t
|u
 }v
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | | |ê |ú | |þ 	 }w
  f d  }x
tu|w
|x
 }y
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | | |ê |ú | |þ 	 }z
  f d  }{
tu|z
|{
 }|
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | | |ê |ë |ú | |ÿ ||  }}
  f d  }~
tu|}
|~
 }
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | | |ê |ë |ú | |ÿ ||  }
  f d  }
tu|
|
 }
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | | |ê |ú | | || 
 }
  f d  }
tu|
|
 }
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | | |ê |ú | | || 
 }
  f d  }
tu|
|
 }
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | | |ê |ë |ú | | |'  }
  f d  }
tu|
|
 }
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | | |ê |ë |ú | | |'  }
  f d  }
tu|
|
 }
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | | |ê |ú | | |' 
 }
  f d   }
tu|
|
 }
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | | |ê |ú | | |' 
 }
  f d!  }
tu|
|
 }
tqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | | |ê |ë |ú | | |-  }
  f d"  }
tu|
|
 }
tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | | |ê |ë |ú | | |-  }
  f d#  }
tu|
|
 }
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | | |ê |ú | | |- 
 }
  f d$  }
tu|
|
 }
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | | |ê |ú | | |- 
 }
  f d%  }
tu|
|
 } 
tqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | | |ê |ë |ú | |g 
 }¡
  f d&  }¢
tu|¡
|¢
 }£
tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | | |ê |ë |ú | |g 
 }€
  f d'  }¥
tu|€
|¥
 }Š
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | | |ê |ú | |g 	 }§
  f d(  }š
tu|§
|š
 }©
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | | |ê |ú | |g 	 }ª
  f d)  }«
tu|ª
|«
 }¬
tqtrtvd
 twd   txtttvd twd   tvd twd    ttztvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |ê |ë |ú | |: | 
 }­
  f d*  }®
tu|­
|®
 }¯
tqtrtvd
 twd   tytttvd twd   tvd twd    ttztvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |ê |ë |ú | |: | 
 }°
  f d+  }±
tu|°
|±
 }²
tqtrtvd
 twd   txtttvd twd   tvd twd    ttztvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |ê |ú | |: | 	 }³
  f d,  }Ž
tu|³
|Ž
 }µ
tqtrtvd
 twd   tytttvd twd   tvd twd    ttztvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |ê |ú | |: | 	 }¶
  f d-  }·
tu|¶
|·
 }ž
tqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú |j |- | |  }¹
  f d.  }º
tu|¹
|º
 }»
tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú |j |- | |  }Œ
  f d/  }œ
tu|Œ
|œ
 }Ÿ
tqtrtvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ú |j |- | |  }¿
  f d0  }À
tu|¿
|À
 }Á
tqtrtvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ú |j |- | |  }Â
  f d1  }Ã
tu|Â
|Ã
 }Ä
tqtrttvd' twd   txtttvd twd   tvd twd    tvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú | |j |- |g  }Å
  f d2  }Æ
tu|Å
|Æ
 }Ç
tqtrttvd' twd   tytttvd twd   tvd twd    tvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú | |j |- |g  }È
  f d3  }É
tu|È
|É
 }Ê
tqtrttvd' twd   txtttvd twd   tvd twd    tvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tt | | | |  | | |ê |ú | |j |- |g  }Ë
  f d4  }Ì
tu|Ë
|Ì
 }Í
tqtrttvd' twd   tytttvd twd   tvd twd    tvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tt | | | |  | | |ê |ú | |j |- |g  }Î
  f d5  }Ï
tu|Î
|Ï
 }Ð
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú | |	 |k |' | }Ñ
  f d6  }Ò
tu|Ñ
|Ò
 }Ó
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú | |	 |k |' | }Ô
  f d7  }Õ
tu|Ô
|Õ
 }Ö
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |ê |ú | |	 |k |' | }×
  f d8  }Ø
tu|×
|Ø
 }Ù
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |ê |ú | |	 |k |' | }Ú
  f d9  }Û
tu|Ú
|Û
 }Ü
tqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |ê |ë |ú | |k |' |{  }Ý
  f d:  }Þ
tu|Ý
|Þ
 }ß
tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |ê |ë |ú | |k |' |{  }à
  f d;  }á
tu|à
|á
 }â
tqtrtvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |ê |ú | |k |' |{  }ã
  f d<  }ä
tu|ã
|ä
 }å
tqtrtvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |ê |ú | |k |' |{  }æ
  f d=  }ç
tu|æ
|ç
 }è
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú | |	 |k |' |{ | }é
  f d>  }ê
tu|é
|ê
 }ë
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú | |	 |k |' |{ | }ì
  f d?  }í
tu|ì
|í
 }î
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |ê |ú | |	 |k |' |{ | }ï
  f d@  }ð
tu|ï
|ð
 }ñ
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |ê |ú | |	 |k |' |{ | }ò
  f dA  }ó
tu|ò
|ó
 }ô
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú |	 |j |' |~ | |z  }õ
  f dB  }ö
tu|õ
|ö
 }÷
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú |	 |j |' |~ | |z  }ø
  f dC  }ù
tu|ø
|ù
 }ú
tqtrt~tvd
 twd   txtttvd twd   tvd twd    tztvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |ê |ú |	 |j |' |~ | |z  }û
  f dD  }ü
tu|û
|ü
 }ý
tqtrt~tvd
 twd   tytttvd twd   tvd twd    tztvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |ê |ú |	 |j |' |~ | |z  }þ
  f dE  }ÿ
tu|þ
|ÿ
 } tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú | |j |' |~ |{ | }  f dF  }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú | |j |' |~ |{ | }  f dG  }tu|| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ú | |j |' |~ |{ | }  f dH  }tu|| }	tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ú | |j |' |~ |{ | }
  f dI  }tu|
| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú | |	 |j |' |~ |{ | }  f dJ  }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú | |	 |j |' |~ |{ | }  f dK  }tu|| }tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |ê |ú | |	 |j |' |~ |{ | }  f dL  }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |ê |ú | |	 |j |' |~ |{ | }  f dM  }tu|| }tqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú |j |- |~ | |I |  }  f dN  }tu|| }tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú |j |- |~ | |I |  }  f dO  }tu|| }tqtrtvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ú |j |- |~ | |I |  }  f dP  } tu||  }!tqtrtvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ú |j |- |~ | |I |  }"  f dQ  }#tu|"|# }$tqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú |	 |j |- |~ | |I | }%  f dR  }&tu|%|& }'tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú |	 |j |- |~ | |I | }(  f dS  })tu|(|) }*tqtrtvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | |ê |ú |	 |j |- |~ | |I | }+  f dT  },tu|+|, }-tqtrtvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd	 twd   tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | |ê |ú |	 |j |- |~ | |I | }.  f dU  }/tu|.|/ }0tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  t|tvd' twd   txtttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    twd  d; tt | | |  | | |ê |ë |ú |- 
 }1  f dV  }2tu|1|2 }3tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  t|tvd' twd   tytttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    twd  d; tt | | |  | | |ê |ë |ú |- 
 }4  f dW  }5tu|4|5 }6tqtrtvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  t|tvd' twd   txtttvd twd   tvd twd     t~tvd
 twd   txtttvd twd   tvd twd    twd  d; tt | | |  | | |ê |ú |- 	 }7  f dX  }8tu|7|8 }9tqtrtvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  t|tvd' twd   tytttvd twd   tvd twd     t~tvd
 twd   tytttvd twd   tvd twd    twd  d; tt | | |  | | |ê |ú |- 	 }:  f dY  };tu|:|; }<tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   txtttvd twd   tvd twd    twd  d; t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |ê |ë |ú |j |- |~  }=  f dZ  }>tu|=|> }?tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   tytttvd twd   tvd twd    twd  d; t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |ê |ë |ú |j |- |~  }@  f d[  }Atu|@|A }Btqtrtvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   txtttvd twd   tvd twd    twd  d; t|tvd( twd   tvd' twd   txtttvd twd   tvd twd     tt | | | |  | | |ê |ú |j |- |~  }C  f d\  }Dtu|C|D }Etqtrtvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   tytttvd twd   tvd twd    twd  d; t|tvd( twd   tvd' twd   tytttvd twd   tvd twd     tt | | | |  | | |ê |ú |j |- |~  }F  f d]  }Gtu|F|G }Htqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú |	 |j |- |~ | | |  }I  f d^  }Jtu|I|J }Ktqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú |	 |j |- |~ | | |  }L  f d_  }Mtu|L|M }Ntqtrtvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ú |	 |j |- |~ | | |  }O  f d`  }Ptu|O|P }Qtqtrtvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ú |	 |j |- |~ | | |  }R  f da  }Stu|R|S }Ttqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  t~tvd
 twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ë |ú |j |- |~  }U  f db  }Vtu|U|V }Wtqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  t~tvd
 twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ë |ú |j |- |~  }X  f dc  }Ytu|X|Y }Ztqtrtvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  t~tvd
 twd   txtttvd twd   tvd twd    tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ú |j |- |~  }[  f dd  }\tu|[|\ }]tqtrtvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  t~tvd
 twd   tytttvd twd   tvd twd    tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ú |j |- |~  }^  f de  }_tu|^|_ }`tqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  t|tvd twd   tvd
 twd   txtttvd twd   tvd twd     tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ë |ú |j |- |~  }a  f df  }btu|a|b }ctqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  t|tvd twd   tvd
 twd   tytttvd twd   tvd twd     tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ë |ú |j |- |~  }d  f dg  }etu|d|e }ftqtrtvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  t|tvd twd   tvd
 twd   txtttvd twd   tvd twd     tvd( twd   tvd' twd   txtttvd twd   tvd twd    tt | | | |  | | |ê |ú |j |- |~  }g  f dh  }htu|g|h }itqtrtvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  t|tvd twd   tvd
 twd   tytttvd twd   tvd twd     tvd( twd   tvd' twd   tytttvd twd   tvd twd    tt | | | |  | | |ê |ú |j |- |~  }j  f di  }ktu|j|k }ltqtrtvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  t|ttvd' twd   txtttvd twd   tvd twd     t|tvd twd   tvd
 twd   txtttvd twd   tvd twd     tt | | | |  | | |ê |ë |ú |j |- |~  }m  f dj  }ntu|m|n }otqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  t|ttvd' twd   tytttvd twd   tvd twd     t|tvd twd   tvd
 twd   tytttvd twd   tvd twd     tt | | | |  | | |ê |ë |ú |j |- |~  }p  f dk  }qtu|p|q }rtqtrtvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  t|ttvd' twd   txtttvd twd   tvd twd     t|tvd twd   tvd
 twd   txtttvd twd   tvd twd     tt | | | |  | | |ê |ú |j |- |~  }s  f dl  }ttu|s|t }utqtrtvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  t|ttvd' twd   tytttvd twd   tvd twd     t|tvd twd   tvd
 twd   tytttvd twd   tvd twd     tt | | | |  | | |ê |ú |j |- |~  }v  f dm  }wtu|v|w }xtqtrtvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú | |	 |j |- |~  }y  f dn  }ztu|y|z }{tqtrtvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |ê |ë |ú | |	 |j |- |~  }|  f do  }}tu|||} }~tqtrtvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   txtttvd twd   tvd twd    tztvd( twd   tvd' twd   txtttvd twd   tvd twd    t{tt | | | |  | | |ê |ú | |	 |j |- |~  }  f dp  }tu|| }tqtrtvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd twd   tvd
 twd   tytttvd twd   tvd twd    tztvd( twd   tvd' twd   tytttvd twd   tvd twd    t{tt | | | |  | | |ê |ú | |	 |j |- |~  }  f dq  }tu|| }tqtrtvd
 twd   txtttvd twd   tvd twd    ttztvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   txtttvd twd   tvd twd    tvdtwd   txtttvd twd   tvd twd    twd;  tt | | |  | | |ê |ë |ú | |	 |: |  }  f dr  }tu|| }tqtrtvd
 twd   tytttvd twd   tvd twd    ttztvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd twd    tvdtwd   tytttvd twd   tvd twd    twd;  tt | | |  | | |ê |ë |ú | |	 |: |  }  f ds  }tu|| }tqtrtvd
 twd   txtttvd twd   tvd twd    ttztvdµtwd   tvdtwd   txtttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   txtttvd twd   tvd twd    tvd twd   tt | | |  | | |ê |ú | |	 |: |  }  f dt  }tu|| }tqtrtvd
 twd   tytttvd twd   tvd twd    ttztvdµtwd   tvdtwd   tytttvd twd   tvd twd    twd;  tvd( twd   tvd' twd   tytttvd twd   tvd twd    tvd twd   tt | | |  | | |ê |ú | |	 |: |  }  f du  }tu|| }tqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  |	 | }  f dv  }tu|| }tqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  ||  }  f dw  }tu|| }tqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  |||* | 	 }  f dx  }tu|| }tqtrtwd  tvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  | }  f dy  }tu|| }tqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    twdz tt | | | |  | }  f d{  }tu|| }tqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  ||* | |	 }   f d|  }¡tu| |¡ }¢tqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  |	 |	|
 }£  f d}  }€tu|£|€ }¥tqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tt | | | |  |	 |	| }Š  f d~  }§tu|Š|§ }štqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{txtttvd' twd   tvd( twd    tztt | | | |  | ||* | 	 }©  f d  }ªtu|©|ª }«tqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tytttvd' twd   tvd( twd    tztt | | | |  | ||* | 	 }¬  f d  }­tu|¬|­ }®tqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{txtttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | ||* | 	 }¯  f d  }°tu|¯|° }±tqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tytttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | ||* | 	 }²  f d  }³tu|²|³ }Žtqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{txtttvd' twd   tvd( twd    tvd	 twd   tt | | | |  |	 | || 	 }µ  f d  }¶tu|µ|¶ }·tqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tytttvd' twd   tvd( twd    tvd	 twd   tt | | | |  |	 | || 	 }ž  f d  }¹tu|ž|¹ }ºtqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tvd twd   txtttvd' twd   tvd( twd    tztt | | | |  | | | }»  f d  }Œtu|»|Œ }œtqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tvd twd   tytttvd' twd   tvd( twd    tztt | | | |  | | | }Ÿ  f d  }¿tu|Ÿ|¿ }Àtqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{txtttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | |||	 }Á  f d  }Âtu|Á|Â }Ãtqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tytttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | |||	 }Ä  f d  }Åtu|Ä|Å }Ætqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tvd twd   txtttvd' twd   tvd( twd    tvd	 twd   tt | | | |  |; |(  }Ç  f d  }Ètu|Ç|È }Étqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tvd twd   tytttvd' twd   tvd( twd    tvd	 twd   tt | | | |  |; |(  }Ê  f d  }Ëtu|Ê|Ë }Ìtqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{txtttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | || }Í  f d  }Îtu|Í|Î }Ïtqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tytttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | || }Ð  f d  }Ñtu|Ð|Ñ }Òtqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{txtttvd' twd   tvd( twd    tt | | | |  ||* |  }Ó  f d  }Ôtu|Ó|Ô }Õtqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tytttvd' twd   tvd( twd    tt | | | |  ||* |  }Ö  f d  }×tu|Ö|× }Øtqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{txtttvd' twd   tvd( twd    tztt | | | |  || | | 	 }Ù  f d  }Útu|Ù|Ú }Ûtqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tytttvd' twd   tvd( twd    tztt | | | |  || | | 	 }Ü  f d  }Ýtu|Ü|Ý }Þtqtrtxtttvd' twd   tvd( twd    tvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  | }ß  f d  }àtu|ß|à }átqtrtytttvd' twd   tvd( twd    tvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  | }â  f d  }ãtu|â|ã }ätqtrtxtttvd' twd   tvd( twd    tztvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  || |  }å  f d  }ætu|å|æ }çtqtrtytttvd' twd   tvd( twd    tztvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  || |  }è  f d  }étu|è|é }êtqtrtwd  tvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    txtttvd' twd   tvd( twd    tt | | | |  | }ë  f d  }ìtu|ë|ì }ítqtrtwd  tvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tytttvd' twd   tvd( twd    tt | | | |  | }î  f d  }ïtu|î|ï }ðtqtrtxtttvd' twd   tvd( twd    tztvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  || |  }ñ  f d  }òtu|ñ|ò }ótqtrtytttvd' twd   tvd( twd    tztvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  || |  }ô  f d  }õtu|ô|õ }ötqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{txtttvd' twd   tvd( twd    tztt | | | |  || | | 	 }÷  f d  }øtu|÷|ø }ùtqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    t{tytttvd' twd   tvd( twd    tztt | | | |  || | | 	 }ú  f d  }ûtu|ú|û }ütqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tvdh twd   txtttvd' twd   tvd( twd    tvd twd   tytttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | |	 | }ý  f d  }þtu|ý|þ }ÿtqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    ttxtttvd' twd   tvd( twd    tvd twd   tytttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | |	 ||	 }   f d  }tu| | }tqtrtxtttvd' twd   tvd( twd    tvd twd   tytttvd' twd   tvd( twd    tvd	 twd   tvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  |||I | 	 }  f d  }tu|| }tqtrtxtttvd' twd   tvd( twd    tvd twd   tytttvd' twd   tvd( twd    tvd	 twd   tvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    tt | | | |  | |	 | }  f d  }tu|| }tqtrtvd twd   tytttvd' twd   tvd( twd    tvd
 twd   txtttvd' twd   tvd( twd    ttxtttvd' twd   tvd( twd    tvd twd   tytttvd' twd   tvd( twd    tvd	 twd   tt | | | |  |||I | |
 }	  f d  }
tu|	|
 }tqtrt|t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd     tt | | | |  | | }  f d   }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    t{tt | | | |  | ||* | 	 }  f d¡  }tu|| }tqtrtwd  t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | | }  f d¢  }tu|| }tqtrtwd  t|t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd     tt | | | |  | | }  f d£  }tu|| }tqtrt~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    t{tt | | | |  | ||* | 	 }  f d€  }tu|| }tqtrt|t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd     tt | | | |  | | }  f d¥  }tu|| }tqtrt|t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd     tt | | | |  | || }  f dŠ  }tu|| } tqtrt|t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd     tt | | | |  | |||	 }!  f d§  }"tu|!|" }#tqtrt~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    t{tt | | | |  | ||* | 	 }$  f dš  }%tu|$|% }&  f d©  }'tqtrtwd  t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | | }(tu|(|' })  f dª  }*tqtrtwd  t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | | }+tu|+|* },  f d«  }-tqtrtwd  t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | || }.tu|.|- }/  f d¬  }0tqtrtwd  t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | | }1tu|1|0 }2tqtrtwd  t|t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd     tt | | | |  | | }3  f d­  }4tu|3|4 }5tqtrtwd  t|t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd     tt | | | |  | || }6  f d®  }7tu|6|7 }8tqtrtwd  t|t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd     tt | | | |  | |||	 }9  f d¯  }:tu|9|: };tqtrt~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    twd° d; tt | | | |  | | }<  f d±  }=tu|<|= }>tqtrt~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    t{tt | | | |  | ||* | |
 }?  f d²  }@tu|?|@ }Atqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvdtwd   txtttvd twd   tvd' twd    t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | |ê |ë |ú |
 }B  f d³  }Ctu|B|C }Dtqtrtvdµtwd   tvdtwd   txtttvd twd   tvd' twd    t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | |ê |ú |	 }E  f dŽ  }Ftu|E|F }Gtqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | |ê |ë |	 }H  f dµ  }Itu|H|I }Jtqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvdtwd   txtttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | |ê |ë |ú ||  }K  f d¶  }Ltu|K|L }Mtqtrtvdµtwd   tvdtwd   txtttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | |ê |ú ||!
 }N  f d·  }Otu|N|O }Ptqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | |ê |ë ||"
 }Q  f dž  }Rtu|Q|R }Stqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvdtwd   txtttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | |ê |ë |ú ||# }T  f d¹  }Utu|T|U }Vtqtrtvdµtwd   tvdtwd   txtttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | |ê |ú ||$
 }W  f dº  }Xtu|W|X }Ytqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tt | | | |  | |ê |ë ||%
 }Z  f d»  }[tu|Z|[ }\tqtrt~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tvd twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvdtwd   txtttvd twd   tvd' twd    tt | | | |  | |ê |ë |ú |	 |Ï ||& }]  f dŒ  }^tu|]|^ }_tqtrtvdµtwd   tvdtwd   txtttvd twd   tvd' twd    t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tvd twd   tt | | | |  | |ê |ú |	 |Ï ||' }`  f dœ  }atu|`|a }btqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tvd twd   tt | | | |  | |ê |ë |	 |Ï ||( }c  f dŸ  }dtu|c|d }etqtrt~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tvd twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvdtwd   txtttvd twd   tvd' twd    tt | | | |  | |ê |ë |ú |	 |Ï ||) }f  f d¿  }gtu|f|g }htqtrtvdµtwd   tvdtwd   txtttvd twd   tvd' twd    t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tvd twd   tt | | | |  | |ê |ú |	 |Ï ||* }i  f dÀ  }jtu|i|j }ktqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tvd twd   tt | | | |  | |ê |ë |	 |Ï ||+ }l  f dÁ  }mtu|l|m }ntqtrtvd¶twd   tytttvd twd   tvd' twd    tvdtwd   txtttvd twd   tvd' twd    tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tvd twd   tt | | |  | |ë |ú |Ï ||,
 }o  f dÂ  }ptu|o|p }qtqtrt~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tvd twd   tvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvdtwd   txtttvd twd   tvd' twd    tt | | | |  | |ê |ë |ú |* | | }r  f dÃ  }stu|r|s }ttqtrtvdµtwd   tvdtwd   txtttvd twd   tvd' twd    t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tvd twd   tt | | | |  | |ê |ú |* | | }u  f dÄ  }vtu|u|v }wtqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    tvd twd   tt | | | |  | |ê |ë |* | | }x  f dÅ  }ytu|x|y }ztqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvdtwd   txtttvd twd   tvd' twd    t|t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd     tt | | | |  | |ê |ë |ú |-|. }{  f dÆ  }|tu|{|| }}tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvdtwd   txtttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    twd;  tt | | | |  | |ê |ë |ú ||/ }~  f dÇ  }tu|~| }tqtrtvdµtwd   tvdtwd   txtttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    twd;  tt | | | |  | |ê |ú ||0
 }  f dÈ  }tu|| }tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    twd;  tt | | | |  | |ê |ë ||1
 }  f dÉ  }tu|| }tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvdtwd   txtttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    twd;  tt | | | |  | |ê |ë |ú ||2 }  f dÊ  }tu|| }tqtrtvdµtwd   tvdtwd   txtttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    twd;  tt | | | |  | |ê |ú ||3
 }  f dË  }tu|| }tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    twd;  tt | | | |  | |ê |ë ||4
 }  f dÌ  }tu|| }tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvdtwd   txtttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    t{tt | | | |  | |ê |ë |ú |* | || }  f dÍ  }tu|| }tqtrtvdµtwd   tvdtwd   txtttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    t{tt | | | |  | |ê |ú |* | || }  f dÎ  }tu|| }tqtrtvdµtwd   tvd¶twd   tytttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    t{tt | | | |  | |ê |ë |* | || }  f dÏ  }tu|| }tqtrtwd  tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   ttttvd twd   tvd' twd    tt | | | |  | |5 }  f dÐ  }tu|| }tqtrtwd  tvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd( twd   ttttvd twd   tvd' twd    tt | | | |  | |5 }  f dÑ  }tu|| }tqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   ttttvd twd   tvd' twd    tvd twd   tytttvd twd   tvd' twd    tvd twd   tt | | | |  | |  }  f dÒ  } tu||  }¡tqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd( twd   ttttvd twd   tvd' twd    tvd twd   txtttvd twd   tvd' twd    tvd twd   tt | | | |  | |  }¢  f dÓ  }£tu|¢|£ }€tqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   ttttvd twd   tvd' twd    t{tytttvd twd   tvd' twd    t{tt | | | |  | |  }¥  f dÔ  }Štu|¥|Š }§tqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd( twd   ttttvd twd   tvd' twd    t{txtttvd twd   tvd' twd    t{tt | | | |  | |  }š  f dÕ  }©tu|š|© }ªtqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   ttttvd twd   tvd' twd    tztwd  tytttvd twd   tvd' twd    tvd twd   tt | | | |  | | |  }«  f dÖ  }¬tu|«|¬ }­tqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd( twd   ttttvd twd   tvd' twd    tztwd  txtttvd twd   tvd' twd    tvd twd   tt | | | |  | | |  }®  f d×  }¯tu|®|¯ }°tqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   ttttvd twd   tvd' twd    tztwd  tytttvd twd   tvd' twd    tvd twd   tt | | | |  | | |  }±  f dØ  }²tu|±|² }³tqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd( twd   ttttvd twd   tvd' twd    tztwd  txtttvd twd   tvd' twd    tvd twd   tt | | | |  | | |  }Ž  f dÙ  }µtu|Ž|µ }¶tqtrtvd
 twd   txtttvd' twd   tvd( twd    twd;  ttt | | |  |< |M  }·  f dÚ  }žtu|·|ž }¹tqtrtvd
 twd   tytttvd' twd   tvd( twd    twd;  ttt | | |  |< |M  }º  f dÛ  }»tu|º|» }Œtqtrtvd
 twd   txtttvd' twd   tvd( twd    twd;  ttt | | |  |< |=  }œ  f dÜ  }Ÿtu|œ|Ÿ }¿tqtrtvd
 twd   tytttvd' twd   tvd( twd    twd;  ttt | | |  |< |=  }À  f dÝ  }Átu|À|Á }Âtqtrt~tvd
 twd   txtttvd' twd   tvd( twd    twd;  ttt | | | |  ||è  }Ã  f dÞ  }Ätu|Ã|Ä }Åtqtrt~tvd
 twd   tytttvd' twd   tvd( twd    twd;  ttt | | | |  ||è  }Æ  f dß  }Çtu|Æ|Ç }Ètqtrt~tvd
 twd   txtttvd' twd   tvd( twd    twd;  ttt | | | |  |: ||Y  }É  f dà  }Êtu|É|Ê }Ëtqtrt~tvd
 twd   tytttvd' twd   tvd( twd    twd;  ttt | | | |  |: ||Y  }Ì  f dá  }Ítu|Ì|Í }Î  f dâ  }Ïtqtrt~tvd
 twd   txtttvd' twd   tvd( twd    twd;  ttt | | | |  |è  }Ðtu|Ð|Ï }Ñ  f dã  }Òtqtrt~tvd
 twd   tytttvd' twd   tvd( twd    twd;  ttt | | | |  |è  }Ótu|Ó|Ò }Ôtqtrt~tvd
 twd   txtttvd' twd   tvd( twd    twd;  ttt | | | |  |: |6|Y  }Õ  f dä  }Ötu|Õ|Ö }×tqtrt~tvd
 twd   tytttvd' twd   tvd( twd    twd;  ttt | | | |  |: |6|Y  }Ø  f då  }Ùtu|Ø|Ù }Útqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{ttt | | | |  | | }Û  f dæ  }Ütu|Û|Ü }Ýtqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{ttt | | | |  | | }Þ  f dç  }ßtu|Þ|ß }à  f dè  }átqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{ttt | | | |  |7|è |=  }âtu|â|á }ã  f dé  }ätqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{ttt | | | |  |7|è |=  }åtu|å|ä }ætqtrtst~tvd
 twd   txtttvd' twd   tvd( twd    twd;  ttt | | | |  ||è  }ç  f dê  }ètu|ç|è }étqtrtst~tvd
 twd   tytttvd' twd   tvd( twd    twd;  ttt | | | |  ||è  }ê  f dë  }ëtu|ê|ë }ìtqtrtst~tvd
 twd   txtttvd' twd   tvd( twd    twd;  ttt | | | |  |: ||Y  }í  f dì  }îtu|í|î }ïtqtrtst~tvd
 twd   tytttvd' twd   tvd( twd    twd;  ttt | | | |  |: ||Y  }ð  f dí  }ñtu|ð|ñ }ò  f dî  }ótqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{ttxtttvd' twd   tvd( twd    tztt | | | |  |7|8|è  }ôtu|ô|ó }õ  f dï  }ötqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{ttytttvd' twd   tvd( twd    tztt | | | |  |7|8|è  }÷tu|÷|ö }ø  f dð  }ùtqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{ttxtttvd' twd   tvd( twd    tvd	 twd   tt | | | |  |: |7|9 }útu|ú|ù }û  f dñ  }ütqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{ttytttvd' twd   tvd( twd    tvd	 twd   tt | | | |  |: |7|9 }ýtu|ý|ü }þtqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{ttxtttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | }ÿ  f dò  } tu|ÿ|  }tqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{ttytttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | }  f dó  }tu|| }  f dô  }tqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{ttytttvd' twd   tvd( twd    tztt | | | |  |8|7|è  }tu|| }  f dõ  }tqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{ttxtttvd' twd   tvd( twd    tztt | | | |  |8|7|è  }	tu|	| }
tqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{ttytttvd' twd   tvd( twd    tztt | | | |  |8|:|è |I 	 }  f dö  }tu|| }tqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{ttxtttvd' twd   tvd( twd    tztt | | | |  |8|:|è |I 	 }  f d÷  }tu|| }tqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{ttytttvd' twd   tvd( twd    tztt | | | |  |8|:|è |a |= 
 }  f dø  }tu|| }tqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{ttxtttvd' twd   tvd( twd    tztt | | | |  |8|:|è |a |= 
 }  f dù  }tu|| }  f dú  }tqtrt~tvd twd   txtttvd' twd   tvd( twd    t{tvd
 twd   tvdh twd   tytttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | |	 |: |9	 }tu|| }  f dû  }tqtrt~tvd twd   tytttvd' twd   tvd( twd    t{tvd
 twd   tvdh twd   txtttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | |	 |: |9	 }tu|| }  f dü  }tqtrt~tvd twd   txtttvd' twd   tvd( twd    t{tvd
 twd   tvdh twd   ttttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | |	 |9|Q 	 }tu|| }  f dý  } tqtrt~tvd twd   tytttvd' twd   tvd( twd    t{tvd
 twd   tvdh twd   twd  ttttvd' twd   tvd( twd    tvd	 twd   tt | | | |  | |	 |9|Q 	 }!tu|!|  }"  f dþ  }#tqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{tvdh twd   ttttvd' twd   tvd( twd    tztt | | | |  | |;|7|è 	 }$tu|$|# }%  f dÿ  }&tqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{tvdh twd   twd  ttttvd' twd   tvd( twd    tztt | | | |  | |;|7|è 	 }'tu|'|& }(  f d   })tqtrt~tvd
 twd   txtttvd' twd   tvd( twd    t{tvdh twd   ttttvd' twd   tvd( twd    tztt | | | |  | |: |;|7|Y 
 }*tu|*|) }+  f d  },tqtrt~tvd
 twd   tytttvd' twd   tvd( twd    t{tvdh twd   twd  ttttvd' twd   tvd( twd    tztt | | | |  | |: |;|7|Y 
 }-tu|-|, }.  f d  }/tqtrt~tvd
 twd   tytttvd twd   tvd' twd    ttvd( twd   txtttvd twd   tvd' twd    tt{txtttvd twd   tvd' twd    tztt | | | |  | |8|<|=| |> }0tu|0|/ }1  f d  }2tqtrt~tvd
 twd   txtttvd twd   tvd' twd    ttvd( twd   tytttvd twd   tvd' twd    tt{tytttvd twd   tvd' twd    tztt | | | |  | |8|<|=| |> }3tu|3|2 }4  f d  }5tqtrt~tvd
 twd   tytttvd twd   tvd' twd    ttvd( twd   txtttvd twd   tvd' twd    tt{txtttvd twd   tvd' twd    tztt | | | |  | |8|<|=| |? }6tu|6|5 }7  f d  }8tqtrt~tvd
 twd   txtttvd twd   tvd' twd    ttvd( twd   tytttvd twd   tvd' twd    tt{tytttvd twd   tvd' twd    tztt | | | |  | |8|<|=| |? }9tu|9|8 }:tqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   tvdh twd   tt | | | |  | |	 |@|A|è 
 };  f d  }<tu|;|< }=tqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   tvdh twd   tt | | | |  | |	 |@|A|è 
 }>  f d  }?tu|>|? }@tqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   ttt | | | |  | |	 |: |@|A|Y  }A  f d	  }Btu|A|B }Ctqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   ttt | | | |  | |	 |: |@|A|Y  }D  f d
  }Etu|D|E }F  f d  }Gtqtrtwd  tvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   tt | | | |  | |	 |@|B	 }Htu|H|G }I  f d  }Jtqtrtwd  tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   tt | | | |  | |	 |@|B	 }Ktu|K|J }Ltqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   ttxtttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |	 |@|A|è  }M  f d  }Ntu|M|N }Otqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   ttytttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |	 |@|A|è  }P  f d  }Qtu|P|Q }Rtqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   ttxtttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |	 |: |@|A|Y  }S  f d  }Ttu|S|T }Utqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   ttytttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |	 |: |@|A|Y  }V  f d  }Wtu|V|W }X  f d  }Ytqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    t{tvd( twd   txtttvd twd   tvd' twd    tttxtttvd twd   tvd' twd    tztt | | | |  | |@|8|B|7|è  }Ztu|Z|Y }[  f d  }\tqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    t{tvd( twd   tytttvd twd   tvd' twd    tttytttvd twd   tvd' twd    tvd	 twd   tt | | | |  | |@|8|B|7|è  }]tu|]|\ }^tqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   ttxtttvd twd   tvd' twd    tvd	 twd   tt | | | |  | |@|B|	 }_  f d  }`tu|_|` }atqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   ttytttvd twd   tvd' twd    tvd	 twd   tt | | | |  | |@|B|	 }b  f d  }ctu|b|c }d  f d  }etqtrtvd twd   txtttvd twd   tvd' twd    tvd twd   tvd
 twd   tvd twd   txtttvd twd   tvd' twd    tvdtwd   tvd( twd   tvd twd   tvdh twd   tytttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |	 |: |@|9 }ftu|f|e }g  f d  }htqtrtvd twd   tytttvd twd   tvd' twd    tvd twd   tvd
 twd   tvd twd   tytttvd twd   tvd' twd    tvdtwd   tvd( twd   tvd twd   tvdh twd   txtttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |	 |: |@|9 }itu|i|h }jtqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   tvdh twd   tytttvd twd   tvd' twd    tztt | | | |  | | |	 |@|;|A|è  }k  f d  }ltu|k|l }mtqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   tvdh twd   txtttvd twd   tvd' twd    tztt | | | |  | | |	 |@|;|A|è  }n  f d  }otu|n|o }ptqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   ttytttvd twd   tvd' twd    tztt | | | |  | | |	 |: |@|;|A|Y  }q  f d  }rtu|q|r }stqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   ttxtttvd twd   tvd' twd    tztt | | | |  | | |	 |: |@|;|A|Y  }t  f d  }utu|t|u }v  f d  }wtqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    t{tvd( twd   txtttvd twd   tvd' twd    ttvdh twd   tytttvd twd   tvd' twd    tztt | | | |  | |@|8|B|7|è  }xtu|x|w }y  f d  }ztqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    t{tvd( twd   tytttvd twd   tvd' twd    ttvdh twd   txtttvd twd   tvd' twd    tvd	 twd   tt | | | |  | |@|8|B|7|è  }{tu|{|z }|tqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   tvdh twd   tytttvd twd   tvd' twd    tvd	 twd   tt | | | |  | |@|8|B|C
 }}  f d  }~tu|}|~ }tqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   tvdh twd   txtttvd twd   tvd' twd    tvd	 twd   tt | | | |  | |@|8|B|C
 }  f d  }tu|| }  f d  }tqtrt~tvd twd   txtttvd twd   tvd' twd    t{tvd
 twd   tvd twd   txtttvd twd   tvd' twd    tvdtwd   tvd( twd   tvdh twd   ttttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |	 |9|Q 
 }tu|| }  f d   }tqtrt~tvd twd   tytttvd twd   tvd' twd    t{tvd
 twd   tvd twd   tytttvd twd   tvd' twd    tvdtwd   tvd( twd   tvdh twd   twd  ttttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |	 |9|Q 
 }tu|| }tqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   tvdh twd   ttttvd twd   tvd' twd    tztt | | | |  | | |	 |@|;|A|è  }  f d!  }tu|| }tqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   tvdh twd   twd  ttttvd twd   tvd' twd    tztt | | | |  | | |	 |@|;|A|è  }  f d"  }tu|| }tqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   tttttvd twd   tvd' twd    tztt | | | |  | | |	 |: |@|;|A|Y  }  f d#  }tu|| }tqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   ttwd  ttttvd twd   tvd' twd    tztt | | | |  | | |	 |: |@|;|A|Y  }  f d$  }tu|| }  f d%  }tqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    t{tvd( twd   txtttvd twd   tvd' twd    ttvdh twd   ttttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |@|;|B|7|è  }tu|| }  f d&  }tqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    t{tvd( twd   tytttvd twd   tvd' twd    ttvdh twd   twd  ttttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |@|;|B|7|è  }tu|| }tqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   tvdh twd   ttttvd twd   tvd' twd    tvd	 twd   tt | | | |  | |@|8|B|C
 }  f d'  }tu|| }tqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   tvdh twd   twd  ttttvd twd   tvd' twd    tvd	 twd   tt | | | |  | |@|8|B|C
 }  f d(  }tu|| }   f d)  }¡tqtrt~tvd twd   txtttvd twd   tvd' twd    t{tvd
 twd   tvd twd   txtttvd twd   tvd' twd    tvdtwd   tvd( twd   tvdh twd   twd  ttttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |	 |9|Q 
 }¢tu|¢|¡ }£  f d*  }€tqtrt~tvd twd   tytttvd twd   tvd' twd    t{tvd
 twd   tvd twd   tytttvd twd   tvd' twd    tvdtwd   tvd( twd   tvdh twd   ttttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |	 |9|Q 
 }¥tu|¥|€ }Štqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   tvdh twd   twd  ttttvd twd   tvd' twd    tztt | | | |  | | |	 |@|;|A|è  }§  f d+  }štu|§|š }©tqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   tvdh twd   ttttvd twd   tvd' twd    tztt | | | |  | | |	 |@|;|A|è  }ª  f d,  }«tu|ª|« }¬tqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   ttwd  ttttvd twd   tvd' twd    tztt | | | |  | | |	 |: |@|;|A|Y  }­  f d-  }®tu|­|® }¯tqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   tttttvd twd   tvd' twd    tztt | | | |  | | |	 |: |@|;|A|Y  }°  f d.  }±tu|°|± }²  f d/  }³tqtrt~tvd
 twd   txtttvd twd   tvd' twd    t{tvd( twd   txtttvd twd   tvd' twd    ttvdh twd   twd  ttttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |@|7|è 
 }Žtu|Ž|³ }µ  f d0  }¶tqtrt~tvd
 twd   tytttvd twd   tvd' twd    t{tvd( twd   tytttvd twd   tvd' twd    ttvdh twd   ttttvd twd   tvd' twd    tvd	 twd   tt | | | |  | | |@|7|è 
 }·tu|·|¶ }žtqtrtvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd twd   tvd( twd   txtttvd twd   tvd' twd    tvdtwd   tvdh twd   twd  ttttvd twd   tvd' twd    tvd	 twd   tt | | | |  | |@|8|B|C
 }¹  f d1  }ºtu|¹|º }»tqtrtvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd twd   tvd( twd   tytttvd twd   tvd' twd    tvdtwd   tvdh twd   ttttvd twd   tvd' twd    tvd	 twd   tt | | | |  | |@|8|B|C
 }Œ  f d2  }œtu|Œ|œ }Ÿtqtrttvd¶twd   txtttvd twd   tvd' twd    t~tvd
 twd   txtttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    twd;  t{tt | | | |  | |ê |ë |A| 
 }¿  f d3  }Àtu|¿|À }Átqtrttvd¶twd   tytttvd twd   tvd' twd    t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   tytttvd twd   tvd' twd    twd;  t{tt | | | |  | |ê |ë |A| 
 }Â  f d4  }Ãtu|Â|Ã }Ätqtrttvd¶twd   txtttvd twd   tvd' twd    t~tvd
 twd   txtttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    twd;  t{tt | | | |  | |ê |ë |A| 
 }Å  f d5  }Ætu|Å|Æ }Çtqtrttvd¶twd   tytttvd twd   tvd' twd    t~tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   tytttvd twd   tvd' twd    twd;  t{tt | | | |  | |ê |ë |A| 
 }È  f d6  }Étu|È|É }Ê  f d7  }Ëtqtrttvd¶twd   txtttvd twd   tvd' twd    tvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    twd;  tt | | | |  | |ê |ë |B	 }Ìtu|Ì|Ë }Í  f d8  }Îtqtrttvd¶twd   tytttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   tytttvd twd   tvd' twd    twd;  tt | | | |  | |ê |ë |B	 }Ïtu|Ï|Î }Ðtqtrttvd¶twd   txtttvd twd   tvd' twd    tvd twd   tvd
 twd   txtttvd twd   tvd' twd    tvd( twd   txtttvd twd   tvd' twd    twd;  t{tt | | | |  | |ê |ë |B| 
 }Ñ  f d9  }Òtu|Ñ|Ò }Ótqtrttvd¶twd   tytttvd twd   tvd' twd    tvd twd   tvd
 twd   tytttvd twd   tvd' twd    tvd( twd   tytttvd twd   tvd' twd    twd;  t{tt | | | |  | |ê |ë |B| 
 }Ô  f d:  }Õtu|Ô|Õ }Ötqtrtttvd' twd   tvd( twd   tvd	 twd   txtttvd twd   tvd twd    tt | |  | | | |I  }×  f d;  }Øtu|×|Ø }Ùtqtrtttvd' twd   tvd( twd   tvd	 twd   tytttvd twd   tvd twd    tt | |  | | | |I  }Ú  f d<  }Ûtu|Ú|Û }Ütqtrtttvd' twd   tvd( twd   tztxtttvd twd   tvd twd    tt | |  | | | |  }Ý  f d=  }Þtu|Ý|Þ }ßtqtrtttvd' twd   tvd( twd   tztytttvd twd   tvd twd    tt | |  | | | |  }à  f d>  }átu|à|á }âtqtrtxtttvd twd   tvd twd    tttvd' twd   tvd( twd   tt | |  | | |D }ã  f d?  }ätu|ã|ä }åtqtrtytttvd twd   tvd twd    tttvd' twd   tvd( twd   tt | |  | | |D }æ  f d@  }çtu|æ|ç }ètqtrtxtttvd twd   tvd twd    tttvd' twd   tvd( twd   tt | |  | | |E }é  f dA  }êtu|é|ê }ëtqtrtytttvd twd   tvd twd    tttvd' twd   tvd( twd   tt | |  | | |E }ì  f dB  }ítu|ì|í }îtqtrtxtttvd twd   tvd twd    t|tttvd' twd   tvd( twd    tt | |  | | |D }ï  f dC  }ðtu|ï|ð }ñtqtrtytttvd twd   tvd twd    t|tttvd' twd   tvd( twd    tt | |  | | |D }ò  f dD  }ótu|ò|ó }ôtqtrtxtttvd twd   tvd twd    t|tttvd' twd   tvd( twd    tt | |  | | |E }õ  f dE  }ötu|õ|ö }÷tqtrtytttvd twd   tvd twd    t|tttvd' twd   tvd( twd    tt | |  | | |E }ø  f dF  }ùtu|ø|ù }útqtrtttvd' twd   tvd( twd   tvd	 twd   txtttvd twd   tvd twd    tt | |  | | | |F }û  f dG  }ütu|û|ü }ýtqtrtttvd' twd   tvd( twd   tvd	 twd   tytttvd twd   tvd twd    tt | |  | | | |F }þ  f dH  }ÿtu|þ|ÿ } tqtrtvd
 twd   txtttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tt | | |  | | |* |  }  f dI  }tu|| }tqtrtvd
 twd   tytttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tt | | |  | | |* |  }  f dJ  }tu|| }tqtrtvd
 twd   txtttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tztt | | |  | | | | | 	 }  f dK  }tu|| }	tqtrtvd
 twd   tytttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tztt | | |  | | | | | 	 }
  f dL  }tu|
| }tqtrtttvd' twd   tvd( twd   tztxtttvd twd   tvd twd    t{tt | |  | | | | | |G	 }  f dM  }tu|| }tqtrtttvd' twd   tvd( twd   tztytttvd twd   tvd twd    t{tt | |  | | | | | |G	 }  f dN  }tu|| }tqtrtttvd' twd   tvd( twd   tztxtttvd twd   tvd twd    t{tt | |  | | | | | | |H
 }  f dO  }tu|| }tqtrtttvd' twd   tvd( twd   tztytttvd twd   tvd twd    t{tt | |  | | | | | | |H
 }  f dP  }tu|| }tqtrtvd
 twd   txtttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tztt | | |  | | | | |I	 }  f dQ  }tu|| }tqtrtvd
 twd   tytttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tztt | | |  | | | | |I	 }  f dR  }tu|| }tqtrtvd
 twd   txtttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tt | | |  | | |* | |	 }  f dS  } tu||  }!tqtrtvd
 twd   tytttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tt | | |  | | |* | |	 }"  f dT  }#tu|"|# }$tqtrtvd
 twd   txtttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tvd	 twd   tt | | |  | | | | || 
 }%  f dU  }&tu|%|& }'tqtrtvd
 twd   tytttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tvd	 twd   tt | | |  | | | | || 
 }(  f dV  })tu|(|) }*tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd twd   tttvd' twd   tvd( twd   tvd	 twd   tt | | | |  | | | |( |J
 }+  f dW  },tu|+|, }-tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd twd   tttvd' twd   tvd( twd   tvd	 twd   tt | | | |  | | | |( |J
 }.  f dX  }/tu|.|/ }0tqtrt~tvd
 twd   txtttvd twd   tvd twd    tvd twd   tttvd' twd   tvd( twd   tvd	 twd   tt | | | |  | | | |' | 
 }1  f dY  }2tu|1|2 }3tqtrt~tvd
 twd   txtttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tvd	 twd   tt | | | |  | | | |' |! |K }4  f dZ  }5tu|4|5 }6tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd twd   tttvd' twd   tvd( twd   tvd	 twd   tt | | | |  | | | |L| 
 }7  f d[  }8tu|7|8 }9tqtrt~tvd
 twd   tytttvd twd   tvd twd    tvd twd   tttvd' twd   tvd( twd   tvd	 twd   tt | | | |  | | | || 
 }:  f d\  };tu|:|; }<tqtrt~tvd
 twd   tytttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tvd	 twd   tt | | | |  | | | |L|! |K }=  f d]  }>tu|=|> }?tqtrt~tvd
 twd   tytttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tvd	 twd   tt | | | |  | | | ||! |K }@  f d^  }Atu|@|A }Btqtrtttvd' twd   tvd( twd   tvd	 twd   t~tvd
 twd   txtttvd twd   tvd twd    tt | | | |  | | |- |` 	 }C  f d_  }Dtu|C|D }Etqtrtttvd' twd   tvd( twd   tvd	 twd   t~tvd
 twd   tytttvd twd   tvd twd    tt | | | |  | | |- |` 	 }F  f d`  }Gtu|F|G }Htqtrtttvd' twd   tvd( twd   tvd	 twd   t~tvd
 twd   txtttvd twd   tvd twd    twd;  tt | | | |  | | |- |` 	 }I  f da  }Jtu|I|J }Ktqtrtttvd' twd   tvd( twd   tvd	 twd   t~tvd
 twd   tytttvd twd   tvd twd    twd;  tt | | | |  | | |- |` 	 }L  f db  }Mtu|L|M }Ntqtrt~tvd
 twd   txtttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tvd	 twd   tt | | | |  | | |- |M|` 
 }O  f dc  }Ptu|O|P }Qtqtrt~tvd
 twd   tytttvd twd   tvd twd    t{tttvd' twd   tvd( twd   tvd	 twd   tt | | | |  | | |- |M|` 
 }R  f dd  }Stu|R|S }Ttqtrtstvd	 twd   tvd twd   tvd
 twd   txt tvd twd   tt | | | |	 |N|O }U  f de  }Vtu|U|V }Wtqtrtstvd	 twd   tvd twd   tvd
 twd   tyt tvd twd   tt | | | |	 |N|O }X  f df  }Ytu|X|Y }Ztqtrtttvd' twd   tvd( twd   tvd	 twd   tvd twd   tvd
 twd   txtttvd twd   tvd twd    tvd twd   tt | | | |  | | | |	 |Š 
 }[  f dg  }\tu|[|\ }]tqtrtttvd' twd   tvd( twd   tvd	 twd   tvd twd   tvd
 twd   tytttvd twd   tvd twd    tvd twd   tt | | | |  | | | |	 |Š 
 }^  f dh  }_tu|^|_ }`tqtrt~ttt{tvd
 twd   tvdh twd   txtttvd' twd   tvd( twd    tt | | | |  |	 | }a  f di  }btu|a|b }ctqtrt~ttt{tvd
 twd   tvdh twd   tytttvd' twd   tvd( twd    tt | | | |  |	 | }d  f dj  }etu|d|e }ftqtrt~ttt{tvd
 twd   ttxtttvd' twd   tvd( twd    tt | | | |  |è |( |= |P	 }g  f dk  }htu|g|h }itqtrt~ttt{tvd
 twd   ttytttvd' twd   tvd( twd    tt | | | |  |è |( |= |P	 }j  f dl  }ktu|j|k }ltqtrt~ttt{tvd
 twd   ttxtttvd' twd   tvd( twd    tt | | | |  ||( |Q }m  f dm  }ntu|m|n }otqtrt~ttt{tvd
 twd   ttytttvd' twd   tvd( twd    tt | | | |  ||( |Q }p  f dn  }qtu|p|q }rtqtrt~ttt{tvd
 twd   ttxtttvd' twd   tvd( twd    tt | | | |  || }s  f do  }ttu|s|t }utqtrt~ttt{tvd
 twd   ttytttvd' twd   tvd( twd    tt | | | |  || }v  f dp  }wtu|v|w }xtqtrt~ttt{tvd
 twd   ttxtttvd' twd   tvd( twd    tt | | | |  |	 |: |R }y  f dq  }ztu|y|z }{tqtrt~ttt{tvd
 twd   ttytttvd' twd   tvd( twd    tt | | | |  |	 |: |R }|  f dr  }}tu|||} }~tqtrtttvd twd   tvd	 twd   t~ttt{tvd
 twd   tvdh twd   txtttvd' twd   tvd( twd    tt | | | |  | | |	 |	 }  f ds  }tu|| }tqtrtttvd twd   tvd	 twd   t~ttt{tvd
 twd   tvdh twd   tytttvd' twd   tvd( twd    tt | | | |  | | |	 |	 }  f dt  }tu|| }tqtrtttvd twd   tvd	 twd   t~ttt{tvd
 twd   ttxtttvd' twd   tvd( twd    tt | | | |  | | |	 |è |S|< |= |T }  f du  }tu|| }tqtrtttvd twd   tvd	 twd   t~ttt{tvd
 twd   ttytttvd' twd   tvd( twd    tt | | | |  | | |	 |è |S|< |= |T }  f dv  }tu|| }tqtrtttvd	 twd   t~ttt{tvd
 twd   ttxtttvd' twd   tvd( twd    tt | | | |  |è |( | |= |U
 }  f dw  }tu|| }tqtrtttvd	 twd   t~ttt{tvd
 twd   ttytttvd' twd   tvd( twd    tt | | | |  |è |( | |= |U
 }  f dx  }tu|| }tqtrtttvd	 twd   t~ttt{tvd
 twd   ttxtttvd' twd   tvd( twd    tt | | | |  ||; |( |Q	 }  f dy  }tu|| }tqtrtttvd	 twd   t~ttt{tvd
 twd   ttytttvd' twd   tvd( twd    tt | | | |  ||; |( |Q	 }  f dz  }tu|| }tqtrtttvd	 twd   t~ttt{tvd
 twd   ttxtttvd' twd   tvd( twd    tt | | | |  | || }  f d{  }tu|| }tqtrtttvd	 twd   t~ttt{tvd
 twd   ttytttvd' twd   tvd( twd    tt | | | |  | || }  f d|  }tu|| }tqtrtttvd twd   tvd	 twd   t~ttt{tvd
 twd   tvdh twd   txtttvd' twd   tvd( twd    tt | | | |  | | |	 |: |V
 }  f d}  }tu|| }tqtrtttvd twd   tvd	 twd   t~ttt{tvd
 twd   tvdh twd   tytttvd' twd   tvd( twd    tt | | | |  | | |	 |: |V
 }   f d~  }¡tu| |¡ }¢tqtrtxtttwd;  tvd' twd    tt |  |   }£  f d  }€tu|£|€ }¥tqtrtytttwd;  tvd' twd    tt |  |   }Š  f d  }§tu|Š|§ }štqtrtxttttwd;  tvd' twd    tt | |  |"  }©  f d  }ªtu|©|ª }«tqtrtyttttwd;  tvd' twd    tt | |  |"  }¬  f d  }­tu|¬|­ }®tqtrtxttt{tvd' twd   tvd( twd    tt | |  | |P }¯  f d  }°tu|¯|° }±tqtrtyttt{tvd' twd   tvd( twd    tt | |  | |P }²  f d  }³tu|²|³ }Žtqtrtvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    ttt | | | |  |C| |M  }µ  f d  }¶tu|µ|¶ }·tqtrtvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    ttt | | | |  |C| |M  }ž  f d  }¹tu|ž|¹ }ºtqtrtvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  |è | }»  f d  }Œtu|»|Œ }œtqtrtvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  |è | }Ÿ  f d  }¿tu|Ÿ|¿ }À  f d  }Átqtrtvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  |è |W }Âtu|Â|Á }Ã  f d  }Ätqtrtvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  |è |W }Åtu|Å|Ä }Ætqtrtxttt{tvd' twd   tvd( twd    tt | |  |	 |X }Ç  f d  }Ètu|Ç|È }Étqtrtyttt{tvd' twd   tvd( twd    tt | |  |	 |X }Ê  f d  }Ëtu|Ê|Ë }Ìtqtrtvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    ttt | | | |  |	 | }Í  f d  }Îtu|Í|Î }Ïtqtrtvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    ttt | | | |  |	 | }Ð  f d  }Ñtu|Ð|Ñ }Òtqtrtvd twd   tvd
 twd   txtst{tvd' twd   tvd( twd    tvdh twd   tt | | | |  |	 |è |Y|Z	 }Ó  f d  }Ôtu|Ó|Ô }Õtqtrtvd twd   tvd
 twd   tytst{tvd' twd   tvd( twd    tvdh twd   tt | | | |  |	 |è |Y|Z	 }Ö  f d  }×tu|Ö|× }Øtqtrtvd twd   tvd
 twd   txtst{tvd' twd   tvd( twd    ttt | | | |  |	 |: |Y }Ù  f d  }Útu|Ù|Ú }Ûtqtrtvd twd   tvd
 twd   tytst{tvd' twd   tvd( twd    ttt | | | |  |	 |: |Y }Ü  f d  }Ýtu|Ü|Ý }Þtqtrtvd twd   tvd
 twd   txts tvdh twd   tt | | |: |[|\ }ß  f d  }àtu|ß|à }átqtrtvd twd   tvd
 twd   tyts tvdh twd   tt | | |: |[|\ }â  f d  }ãtu|â|ã }ätqtrtxttt{tvd' twd    tttt |  |	 |] }å  f d  }ætu|å|æ }çtqtrtyttt{tvd' twd    tttt |  |	 |] }è  f d  }étu|è|é }êtqtrtxtttt{tvd' twd    tttt | |  |	 |X }ë  f d  }ìtu|ë|ì }ítqtrtytttt{tvd' twd    tttt | |  |	 |X }î  f d  }ïtu|î|ï }ðd  }ñtqtrtttvd	 twd   tvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | |	 |è t|ñ 	 }ò  f d  }ótu|ò|ó }ôd  }õtqtrtttvd	 twd   tvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | |	 |è t|õ 	 }ö  f d  }÷tu|ö|÷ }ød  }ùtqtrttttztvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | | |	 |è t|ù 
 }ú  f d  }ûtu|ú|û }üd  }ýtqtrttttztvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | | |	 |è t|ý 
 }þ  f d   }ÿtu|þ|ÿ } tqtrtttvd	 twd   txttt{tvd
 twd   tvd twd    tt | | | |	 |^ }  f d¡  }tu|| }tqtrtttvd	 twd   tyttt{tvd
 twd   tvd twd    tt | | | |	 |^ }  f d¢  }tu|| }tqtrtttvd twd   tvd	 twd   txttt{tvd' twd   tvd( twd    tt | |  | |( | |_ }  f d£  }tu|| }	tqtrtttvd twd   tvd	 twd   tyttt{tvd' twd   tvd( twd    tt | |  | |( | |_ }
  f d€  }tu|
| }tqtrtttvd twd   tztxttt{tvd' twd   tvd( twd    tt | |  | |( | |  }  f d¥  }tu|| }tqtrtttvd twd   tztyttt{tvd' twd   tvd( twd    tt | |  | |( | |  }  f dŠ  }tu|| }tqtrtttvd twd   tvd	 twd   txttt{tvd' twd   tvd( twd    tt | |  | | |(  }  f d§  }tu|| }tqtrtttvd twd   tvd	 twd   tyttt{tvd' twd   tvd( twd    tt | |  | | |(  }  f dš  }tu|| }tqtrtttvd	 twd   txttt{tvd
 twd   tvd twd    ttt | | |C| |M |` }  f d©  }tu|| }tqtrtttvd	 twd   tyttt{tvd
 twd   tvd twd    ttt | | |C| |M |` }  f dª  }tu|| }tqtrtttvd	 twd   txttt{tvd
 twd   tvd twd    ttt | | | |	 |a|< |M  }  f d«  } tu||  }!tqtrtttvd	 twd   tyttt{tvd
 twd   tvd twd    ttt | | | |	 |a|< |M  }"  f d¬  }#tu|"|# }$tqtrtttvd	 twd   txttt{tvd
 twd   tvd twd    ttt | | ||< |M |b }%  f d­  }&tu|%|& }'tqtrtttvd	 twd   tyttt{tvd
 twd   tvd twd    ttt | | ||< |M |b }(  f d®  })tu|(|) }*tqtrtttvd	 twd   txttt{tvd
 twd   tvd twd    ttt | | ||< |M |c|ï  }+  f d¯  },tu|+|, }-tqtrtttvd	 twd   tyttt{tvd
 twd   tvd twd    ttt | | ||< |M |c|ï  }.  f d°  }/tu|.|/ }0  f d±  }1tqtrtttvd twd   tztvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | |è |( |d	 }2tu|2|1 }3  f d²  }4tqtrtttvd twd   tztvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | |è |( |d	 }5tu|5|4 }6tqtrtttvd twd   tvd	 twd   tvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    ttt | | | |  | | |è |( |M 
 }7  f d³  }8tu|7|8 }9tqtrtttvd twd   tvd	 twd   tvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    ttt | | | |  | | |è |( |M 
 }:  f dŽ  };tu|:|; }<tqtrtttvd	 twd   txttt{tvd
 twd   tvd twd    ttt | | | |	 |a|< |= |e	 }=  f dµ  }>tu|=|> }?tqtrtttvd	 twd   tyttt{tvd
 twd   tvd twd    ttt | | | |	 |a|< |= |e	 }@  f d¶  }Atu|@|A }Btqtrtttvd	 twd   txttt{tvd
 twd   tvd twd    ttt | | ||< |= |e|b }C  f d·  }Dtu|C|D }Etqtrtttvd	 twd   tyttt{tvd
 twd   tvd twd    ttt | | ||< |= |e|b }F  f dž  }Gtu|F|G }Htqtrtttvd	 twd   tvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  |è ||;  }I  f d¹  }Jtu|I|J }Ktqtrtttvd	 twd   tvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  |è ||;  }L  f dº  }Mtu|L|M }N  f d»  }Otqtrtttvd twd   tztvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | |è ||d	 }Ptu|P|O }Q  f dŒ  }Rtqtrtttvd twd   tztvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | |è ||d	 }Stu|S|R }Ttqtrtttvd twd   tztvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | | |è ||f
 }U  f dœ  }Vtu|U|V }Wtqtrtttvd twd   tztvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | | |è ||f
 }X  f dŸ  }Ytu|X|Y }Z  f d¿  }[tqtrtttvd	 twd   tvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | |è |W }\tu|\|[ }]  f dÀ  }^tqtrtttvd	 twd   tvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | |è |W }_tu|_|^ }`tqtrttttztvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | | |è |W	 }a  f dÁ  }btu|a|b }ctqtrttttztvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | | |è |W	 }d  f dÂ  }etu|d|e }ftqtrtttvd	 twd   tvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | |	 |è | |g|  }g  f dÃ  }htu|g|h }itqtrtttvd	 twd   tvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | |	 |è | |g|  }j  f dÄ  }ktu|j|k }ltqtrttttztvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | | |	 |è | |g|  }m  f dÅ  }ntu|m|n }otqtrttttztvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | | |	 |è | |g|  }p  f dÆ  }qtu|p|q }rtqtrtttvd twd   tvd	 twd   txttt{tvd' twd   tvd( twd    tt | |  | | |	 |h }s  f dÇ  }ttu|s|t }utqtrtttvd twd   tvd	 twd   tyttt{tvd' twd   tvd( twd    tt | |  | | |	 |h }v  f dÈ  }wtu|v|w }xtqtrtttvd twd   tvd	 twd   tvd twd   tvd
 twd   txttt{tvd' twd   tvd( twd    ttt | | | |  | | |	 |	 }y  f dÉ  }ztu|y|z }{tqtrtttvd twd   tvd	 twd   tvd twd   tvd
 twd   tyttt{tvd' twd   tvd( twd    ttt | | | |  | | |	 |	 }|  f dÊ  }}tu|||} }~tqtrtttvd	 twd   tvd twd   tvd
 twd   txtst{tvd' twd   tvd( twd    tvdh twd   tt | | | |  |	 |: |Y|Z|; 
 }  f dË  }tu|| }tqtrtttvd	 twd   tvd twd   tvd
 twd   tytst{tvd' twd   tvd( twd    tvdh twd   tt | | | |  |	 |: |Y|Z|; 
 }  f dÌ  }tu|| }tqtrtttvd twd   tvd	 twd   tvd twd   tvd
 twd   txtst{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | | |	 |: |Y
 }  f dÍ  }tu|| }tqtrtttvd twd   tvd	 twd   tvd twd   tvd
 twd   tytst{tvd' twd   tvd( twd    tvdh twd   tt | | | |  | | |	 |: |Y
 }  f dÎ  }tu|| }tqtrttttvd	 twd   tvd twd   tvd
 twd   txts tvdh twd   tt | | | | |: |[|\ }  f dÏ  }tu|| }tqtrttttvd	 twd   tvd twd   tvd
 twd   tyts tvdh twd   tt | | | | |: |[|\ }  f dÐ  }tu|| }tqtrtttvd	 twd   txtttvd twd   tvd
 twd   tvd twd    tvdh twd   tytttvd twd   tvd
 twd   tvd twd    tt | | | |	 |: |S|Z  }  f dÑ  }tu|| }tqtrtttvd	 twd   txtttvd twd   tvd
 twd   tvd twd    tytttvd twd   tvd
 twd   tvd twd    tvdh twd   tt | | | |	 |: |S|Z  }  f dÒ  }tu|| }tqtrtttvd	 twd   txtttvd twd   tvd
 twd   tvd twd    tvdh twd   tytttvd twd   tvd
 twd   tvd twd    tt | | |: | |_|Z  }  f dÓ  }tu|| }tqtrtttvd	 twd   txtttvd twd   tvd
 twd   tvd twd    tytttvd twd   tvd
 twd   tvd twd    tvdh twd   tt | | |: | |_|Z  }  f dÔ  }tu|| }tqtrtxtttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |A }  f dÕ  }tu|| }tqtrtytttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |A }   f dÖ  }¡tu| |¡ }¢tqtrtxtttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |B }£  f d×  }€tu|£|€ }¥tqtrtytttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |B }Š  f dØ  }§tu|Š|§ }štqtrtxtttwd;  tvd( twd   tttvd
 twd   tvd twd    t{tt | | | | |  }©  f dÙ  }ªtu|©|ª }«tqtrtytttwd;  tvd( twd   tttvd
 twd   tvd twd    t{tt | | | | |  }¬  f dÚ  }­tu|¬|­ }®tqtrtxt tvd twd   tt |( |i|j }¯  f dÛ  }°tu|¯|° }±tqtrtyt tvd twd   tt |( |i|j }²  f dÜ  }³tu|²|³ }Žtqtrttttvd twd   txtttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | |k }µ  f dÝ  }¶tu|µ|¶ }·tqtrttttvd twd   tytttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | |k }ž  f dÞ  }¹tu|ž|¹ }ºtqtrtttvd twd   tvd' twd   txtttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | |l }»  f dß  }Œtu|»|Œ }œtqtrtttvd twd   tvd' twd   tytttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | |l }Ÿ  f dà  }¿tu|Ÿ|¿ }Àtqtrtttvd twd   tvd' twd   tztxtttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | | | |m	 }Á  f dá  }Âtu|Á|Â }Ãtqtrtttvd twd   tvd' twd   tztytttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | | | |m	 }Ä  f dâ  }Åtu|Ä|Å }Ætqtrtttvd twd   tvd' twd   tztxtttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | | | |n	 }Ç  f dã  }Ètu|Ç|È }Étqtrtttvd twd   tvd' twd   tztytttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | | | |n	 }Ê  f dä  }Ëtu|Ê|Ë }Ìtqtrtttvd twd   tvd' twd   tztxtttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | | | |m	 }Í  f då  }Îtu|Í|Î }Ïtqtrtttvd twd   tvd' twd   tztytttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | | | |m	 }Ð  f dæ  }Ñtu|Ð|Ñ }Òtqtrtttvd twd   tvd' twd   tztxtttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | | | |n	 }Ó  f dç  }Ôtu|Ó|Ô }Õtqtrtttvd twd   tvd' twd   tztytttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | | | |n	 }Ö  f dè  }×tu|Ö|× }Øtqtrtttvd twd   tvd' twd   tvd	 twd   txtttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | | |o }Ù  f dé  }Útu|Ù|Ú }Ûtqtrtttvd twd   tvd' twd   tvd	 twd   tytttwd;  tvd( twd   tttvd
 twd   tvd twd    tt | | | |  | | |o }Ü  f dê  }Ýtu|Ü|Ý }Þtqtrtttvd twd   tvd' twd   tvd	 twd   txtttwd;  tvd( twd   tttvd
 twd   tvd twd    t{tt | | | |  | | | | 	 }ß  f dë  }àtu|ß|à }átqtrtttvd twd   tvd' twd   tvd	 twd   tytttwd;  tvd( twd   tttvd
 twd   tvd twd    t{tt | | | |  | | | | 	 }â  f dì  }ãtu|â|ã }ätqtrtstvd	 twd   txt tvd twd   tt | |( |Y|i|p }å  f dí  }ætu|å|æ }çtqtrtstvd	 twd   tyt tvd twd   tt | |( |Y|i|p }è  f dî  }étu|è|é }ê|s|v|y|||||||||||||| |£|Š|©|¬|¯|²|µ|ž|»|Ÿ|Á|Ä|Ç|Ê|Í|Ð|Ó|Ö|Ù|Ü|ß|â|å|è|ë|î|ñ|ô|÷|ú|ý| |||	||||||||!|$|'|*|-|0|3|6|9|<|?|B|E|H|K|N|Q|T|W|Z|]|`|c|f|i|l|o|r|u|x|{|~||||||||||||¢|¥|š|«|®|±|Ž|·|º|œ|À|Ã|Æ|É|Ì|Ï|Ò|Õ|Ø|Û|Þ|á|ä|ç|ê|í|ð|ó|ö|ù|ü|ÿ||||||||||| |#|&|)|,|/|2|5|8|;|>|A|D|G|J|M|P|S|V|Y|\|_|b|e|h|k|n|q|t|w|z|}||||||||||||¡|€|§|ª|­|°|³|¶|¹|Œ|¿|Â|Å|È|Ë|Î|Ñ|Ô|×|Ú|Ý|à|ã|æ|é|ì|ï|ò|õ|ø|û|þ||||
||||||||"|%|(|+|.|1|4|7|:|=|@|C|F|I|L|O|R|U|X|[|^|a|d|g|j|m|p|s|v|y|||||||||||||| |£|Š|©|¬|¯|²|µ|ž|»|Ÿ|Á|Ä|Ç|Ê|Í|Ð|Ó|Ö|Ù|Ü|ß|â|å|è|ë|î|ñ|ô|÷|ú|ý| |||	||||||||!|$|'|*|-|0|3|6|9|<|?|B|E|H|K|N|Q|T|W|Z|]|`|c|f|i|l|o|r|u|x|{|~||||||||||||¢|¥|š|«|®|±|Ž|·|º|œ|À|Ã|Æ|É|Ì|Ï|Ò|Õ|Ø|Û|Þ|á|ä|ç|ê|í|ð|ó|ö|ù|ü|ÿ||||||||||| |#|&|)|,|/|2|5|8|;|>|A|D|G|J|M|P|S|V|Y|\|_|b|e|h|k|n|q|t|w|z|}||||||||||||¡|€|§|ª|­|°|³|¶|¹|Œ|¿|Â|Å|È|Ë|Î|Ñ|Ô|×|Ú|Ý|à|ã|æ|é|ì|ï|ò|õ|ø|û|þ||||
||||||||"|%|(|+|.|1|4|7|:|=|@|C|F|I|L|O|R|U|X|[|^|a|d|g|j|m|p|s|v|y|||||||||||||| |£|Š|©|¬|¯|²|µ|ž|»|Ÿ|Á|Ä|Ç|Ê|Í|Ð|Ó|Ö|Ù|Ü|ß|â|å|è|ë|î|ñ|ô|÷|ú|ý| |||	||||||||!|$|'|*|-|0|3|6|9|<|?|B|E|H|K|N|Q|T|W|Z|]|`|c|f|i|l|o|r|u|x|{|~||||||||||||¢|¥|š|«|®|±|Ž|·|º|œ|À|Ã|Æ|É|Ì|Ï|Ò|Õ|Ø|Û|Þ|á|ä|ç|ê|í|ð|ó|ö|ù|ü|ÿ|	|	|	|	|	|	|	|	|	|	| 	|#	|&	|)	|,	|/	|2	|5	|8	|;	|>	|A	|D	|G	|J	|M	|P	|S	|V	|Y	|\	|_	|b	|e	|h	|k	|n	|q	|t	|w	|z	|}	|	|	|	|	|	|	|	|	|	|	|	|¡	|€	|§	|ª	|­	|°	|³	|¶	|¹	|Œ	|¿	|Â	|Å	|È	|Ë	|Î	|Ñ	|Ô	|×	|Ú	|Ý	|à	|ã	|æ	|é	|ì	|ï	|ò	|õ	|ø	|û	|þ	|
|
|
|

|
|
|
|
|
|
|
|"
|%
|(
|+
|.
|1
|4
|7
|:
|=
|@
|C
|F
|I
|L
|O
|R
|U
|X
|[
|^
|a
|d
|g
|j
|m
|p
|s
|v
|y
||
|
|
|
|
|
|
|
|
|
|
|
| 
|£
|Š
|©
|¬
|¯
|²
|µ
|ž
|»
|Ÿ
|Á
|Ä
|Ç
|Ê
|Í
|Ð
|Ó
|Ö
|Ù
|Ü
|ß
|â
|å
|è
|ë
|î
|ñ
|ô
|÷
|ú
|ý
| |||	||||||||!|$|'|*|-|0|3|6|9|<|?|B|E|H|K|N|Q|T|W|Z|]|`|c|f|i|l|o|r|u|x|{|~||||||||||||¢|¥|š|«|®|±|Ž|·|º|œ|À|Ã|Æ|É|Ì|Ï|Ò|Õ|Ø|Û|Þ|á|ä|ç|ê|í|ð|ó|ö|ù|ü|ÿ||||||||||| |#|&|)|,|/|2|5|8|;|>|A|D|G|J|M|P|S|V|Y|\|_|b|e|h|k|n|q|t|w|z|}||||||||||||¡|€|§|ª|­|°|³|¶|¹|Œ|¿|Â|Å|È|Ë|Î|Ñ|Ô|×|Ú|Ý|à|ã|æ|é|ì|ï|ò|õ|ø|û|þ||||
||||||||"|%|(|+|.|1|4|7|:|=|@|C|F|I|L|O|R|U|X|[|^|a|d|g|j|m|p|s|v|y|||||||||||||| |£|Š|©|¬|¯|²|µ|ž|»|Ÿ|Á|Ä|Ç|Ê|Í|Ð|Ó|Ö|Ù|Ü|ß|â|å|è|ë|î|ñ|ô|÷|ú|ý| |||	||||||||!|$|'|*|-|0|3|6|9|<|?|B|E|H|K|N|Q|T|W|Z|]|`|c|f|i|l|o|r|u|x|{|~||||||||||||¢|¥|š|«|®|±|Ž|·|º|œ|À|Ã|Æ|É|Ì|Ï|Ò|Õ|Ø|Û|Þ|á|ä|ç|ê|í|ð|ô|ø|ü| |||	||||||||!|$|'|*|-|0|3|6|9|<|?|B|E|H|K|N|Q|T|W|Z|]|`|c|f|i|l|o|r|u|x|{|~||||||||||||¢|¥|š|«|®|±|Ž|·|º|œ|À|Ã|Æ|É|Ì|Ï|Ò|Õ|Ø|Û|Þ|á|ä|ç|êgÒS(ï  Niÿÿÿÿ(p  t   cons1249t   cons72t   cons66t   cons2t   cons3t   cons48t   cons125t   cons21t   cons4t   cons1250t   cons1251t   cons1252t   cons93t   cons166t   cons89t   cons1253t   cons31t   cons1170t   cons94t   cons1254t   cons1255t   cons1256t   cons1257t   cons1258t   cons1259t   cons165t   cons1260t   cons18t   cons23t   cons521t   cons7t   cons27t   cons808t   cons1261t   cons1262t   cons1263t   cons543t   cons1264t   cons1265t   cons148t   cons1266t   cons87t   cons43t   cons448t   cons1267t   cons1268t   cons1269t   cons1270t   cons1271t   cons481t   cons482t   cons1272t   cons1273t   cons1274t   cons1275t   cons1276t   cons208t   cons5t   cons17t   cons13t   cons137t   cons1277t   cons1278t   cons1279t   cons1280t   cons1281t   cons143t   cons1282t   cons1283t   cons1284t   cons1285t   cons244t   cons168t   cons1286t   cons1287t   cons1288t   cons146t   cons1289t   cons1290t   cons1291t   cons246t   cons1292t   cons1293t   cons1294t   cons1295t   cons1296t   cons84t   cons1297t   cons147t   cons54t   cons1298t   cons1299t   cons1300t   cons1301t   cons1302t   cons62t   cons267t   cons1303t   cons1304t   cons1305t   cons1306t   cons515t   cons272t   cons1307t   cons1308t   cons71t   cons70t   cons1309t   cons1310t   cons1311t   cons1312t   cons346t   cons1313t   cons155t   cons1314t   cons1315t   cons114t   cons1316t   cons1317t   cons1318t   cons1319t   cons1320t   cons1321t   cons77t   cons1322t   cons1323t   cons1324t   cons1325t   cons1326t   cons1327t   cons1328t   cons463t   cons88t   cons1329t   cons1330t   cons85t   cons1331t   cons1332t   cons1333t   cons1334t   cons1335t   cons1336t   cons1337t   cons1338t   cons1339t   cons1340t   cons1341t   cons1342t   cons1343t   cons1344t   cons1345t   cons1346t   cons1347t   cons1348t   cons1349t   cons1350t   cons1351t   cons1352t   cons1353t   cons1354t   cons1355t   cons1356t   cons1357t   cons1358t   cons1359t   cons1360t   cons1361t   cons1362t   cons1363t   cons1364t   cons142t   cons335t   cons1365t   cons1366t   cons1367t   cons1368t   cons1369t   cons1370t   cons170t   cons1371t   cons1372t   cons1373t   cons1374t   cons1375t   cons253t   cons1376t   cons1377t   cons1378t   cons1379t   cons1380t   cons358t   cons1381t   cons1382t   cons1383t   cons1384t   cons1385t   cons1386t   cons1387t   cons1388t   cons1389t   cons1390t   cons1391t   cons1392t   cons1393t   cons1394t   cons213t   cons584t   cons1395t   cons1396t   cons1397t   cons1398t   cons1399t   cons1400t   cons1401t   cons1402t   cons1403t   cons1404t   cons1405t   cons1406t   cons1407t   cons1408t   cons1409t   cons1410t   cons1411t   cons105t   cons1412t   cons1413t   cons1414t   cons1415t   cons1416t   cons1417t   cons38t   cons1418t   cons34t   cons35t   cons1419t   cons1420t   cons1421t   cons683t   cons1422t   cons1423t   cons1424t   cons1425t   cons1426t   cons1427t   cons1428t   cons1429t   cons1430t   cons1431t   cons36t   cons1228t   cons1432t   cons33t   cons1433t   cons1434t   cons1435t   cons1436t   cons214t   cons1437t   cons1438t   cons1439t   cons1440t   cons1441t   cons1442t   cons1443t   cons1444t   cons1445t   cons1446t   cons1152t   cons1447t   cons196t   cons128t   cons63t   cons150t   cons375t   cons322t   cons1448t   cons1449t   cons1450t   cons1451t   cons1452t   cons1453t   cons1454t   cons76t   cons1455t   cons1456t   cons1457t   cons1458t   cons1459t   cons1460t   cons1461t   cons1462t   cons1463t   cons1464t   cons1465t   cons1466t   cons1467t   cons1468t   cons1469t   cons1470t   cons1471t   cons1245t   cons1472t   cons1473t   cons1474t   cons1475t   cons1476t   cons1477t   cons1043t   cons1478t   cons1479t   cons1480t   cons1481t   cons1482t   cons1483t   cons1484t   cons1485t   cons1486t   cons1487t   cons46t   cons45t   cons226t   cons376t   cons1116t   cons176t   cons1488t   cons1489t   cons245t   cons247t   cons1490t   cons1491t   cons1492t   cons1493t   cons810t   cons811t   cons744t   cons1494t   cons1495t   cons53t   cons596t   cons1496t   cons1497t   cons489t   cons1498t   cons68t   cons69t   cons823t   cons824t   cons1499t   cons1500t   cons1501t   cons1502t   cons56t   cons1503t   cons1504t   cons367t   cons1505t   cons356t   cons854t   cons1506t   cons818t   cons1131t   cons47t   cons239t   cons1132t   cons1133t   cons1507t   cons819c            s#     j  d  t t | |   |   S(   Nit  (   t   appendR   RS  (   t   xt   u(   t   rubi(    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2164   s    t   ai   t   ft   ei    t   mt   bt   nc            sx     j  d  t | t | | |  |  t d  | t | | |  | t d  | | | |  t d  |  S(   Niu  i   (   R  R€  Rò  Rà  Ró  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2165   s    c      
      s     j  d  t t d  | | t t | |  t d  | t d  | t d  | t d  t d  d |  | | t | | |   |  S(   Niv  i   i   iÿÿÿÿ(   R  RÀ  Rà  R*   R   Rò  (   R¢  R   R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2166   s    c      
      s     j  d  t t d  | | t t | |  t d  | t d  | t d  | t d  t d  d |  | | t | | |   |  S(   Niw  i   i   iÿÿÿÿ(   R  RÀ  Rà  R*   R   Ró  (   R¢  R   R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2167   s    c      	      s	    j  d  t | t d  |  t d  | t d  | t d  t | t | | |  |  t d  | t | | |  | t d  |  |  t | | t | | |  |  t d  | t | | |  | t d  | | | t d  |  S(   Nix  i   iÿÿÿÿi   iþÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2168£   s    c      	      s	    j  d  t | t d  |  t d  | t d  | t d  t | t | | |  |  t d  | t | | |  | t d  |  |  t | | t | | |  |  t d  | t | | |  | t d  | | | t d  |  S(   Niy  i   iÿÿÿÿi   iþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2169š   s    c      	      så     j  d  t | t d  |  t d  |  | t | t | | |  |  t d  | t | | |  | |  |  t | | t | | |  |  t d  | t | | |  | t d  | | |  | |  S(   Niz  i   iÿÿÿÿiþÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2170­   s    c      	      så     j  d  t | t d  |  t d  |  | t | t | | |  |  t d  | t | | |  | |  |  t | | t | | |  |  t d  | t | | |  | t d  | | |  | |  S(   Ni{  i   iÿÿÿÿiþÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2171²   s    c      	      sõ     j  d  t |  | t d  | t d  |  t d  t | t | | |  |  t d  | t | | |  | |  |  t | t | | |  |  t d  | t | | |  | t d  | | | |  t d  |  S(   Ni|  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2172·   s    c      	      sõ     j  d  t |  | t d  | t d  |  t d  t | t | | |  |  t d  | t | | |  | |  |  t | t | | |  |  t d  | t | | |  | t d  | | | |  t d  |  S(   Ni}  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2173Œ   s    c            s®     j  d  t t | t | |  |   t | t | |  |   t t t d  | t d  |  |   t t t t d  | t d  |  |   |  |  S(   Ni~  i   (   R  RÀ  Rá  Rò  Ró  Rà  R   (   R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2174Á   s    c      	      sž     j  d  t t t t d  | t d  |  |   t | t | |  |   t | t | |  |   t t d  t t t d  | t d  |  |   |  |  S(   Ni  i   i   (   R  RÀ  Rá  Rò  Rà  Ró  R   (   R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2175Æ   s    c            sÙ   t  |   }   j d  t | | | | t t | | |  t d  t d  | t d  | t d  | t d  | |  | | t | | |  t d  | | t | | |  t d  |  |  S(   Ni  i   iÿÿÿÿi   (   R3   R  RÀ  R*   R   Rà  Rò  Ró  (   R¢  R   R£  R  R€  R  R¡  t   k(   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2176Ê   s    c            sÚ   t  |   }   j d  t | | | | t t | | |  t d  t d  | t d  | t d  | t d  | |  | | t | | |  t d  | | t | | |  t d  |  |  S(   Ni  i   iÿÿÿÿi   (   R3   R  RÀ  R*   R   Rà  Ró  Rò  (   R¢  R   R£  R  R€  R  R¡  R°  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2177Ð   s    c      
      s    j  d  t | t d  t | t d  t d  d  t d  | t | | |  |  t d  | t | | |  t d  t | t d  t d  d  t | | |  t d  t | t d  t d  d  t |  t d  t d  d | t d  t d  d |  t d  t d  d t | | |  t d   | | |  t d  |  S(   Ni  i   iÿÿÿÿi   i   (   R  R€  Rà  R$   Rò  Ró  R%   R4   (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2178×   s    c      
      s    j  d  t | t d  t | t d  t d  d  t d  | t | | |  |  t d  | t | | |  t d  t | t d  t d  d  t | | |  t d  t | t d  t d  d  t |  t d  t d  d | t d  t d  d |  t d  t d  d t | | |  t d   | | |  t d  |  S(   Ni  i   iÿÿÿÿi   i   (   R  R€  Rà  R$   Ró  Rò  R%   R4   (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2179Ü   s    c            sx     j  d  t | | t | | |  |  t d  | t | | |  | t d  | | |  t d  |  S(   Ni  i   iÿÿÿÿ(   R  R€  Rò  Rà  Ró  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2180á   s    c            sy     j  d  t | | t | | |  |  t d  | t | | |  | t d  | | |  t d  |  S(   Ni  i   iÿÿÿÿ(   R  R€  Ró  Rà  Rò  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2181æ   s    c      	      s
    j  d  t | t d  | t d  |  t d  | t d  t | t | | |  |  t d  | t | | |  | t d  |  |  t | | | t | | |  |  t d  | t | | |  | t d  | | t d  |  S(   Ni  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2182ë   s    c      	      s
    j  d  t | t d  | t d  |  t d  | t d  t | t | | |  |  t d  | t | | |  | t d  |  |  t | | | t | | |  |  t d  | t | | |  | t d  | | t d  |  S(   Ni  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2183ð   s    c      	      så     j  d  t | t d  |  t d  |  | t | t | | |  |  t d  | t | | |  | |  |  t | | | t | | |  |  t d  | t | | |  | t d  | |  | |  S(   Ni  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2184õ   s    c      	      så     j  d  t | t d  |  t d  |  | t | t | | |  |  t d  | t | | |  | |  |  t | | | t | | |  |  t d  | t | | |  | t d  | |  | |  S(   Ni  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2185ú   s    c      	      sõ     j  d  t |  | t d  | t d  |  t d  t | t | | |  |  t d  | t | | |  | |  |  t | | t | | |  |  t d  | t | | |  | t d  | | |  t d  |  S(   Ni  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2186ÿ   s    c      	      sõ     j  d  t |  | t d  | t d  |  t d  t | t | | |  |  t d  | t | | |  | |  |  t | | t | | |  |  t d  | t | | |  | t d  | | |  t d  |  S(   Ni  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2187  s    c            s§     j  d  t t | | |  | t |  t d  | t | | |  t |  t d  t | t | | |  |  t | | |  | | |  |  S(   Ni  i   (   R  RÀ  Ró  R%   Rà  R   Rò  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2188	  s    c            s§     j  d  t t | | |  | t |  t d  | t | | |  t |  t d  t | t | | |  |  t | | |  | | |  |  S(   Ni  i   (   R  RÀ  Rò  R%   Rà  R   Ró  (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2189  s    c            s     j  d  t | | t |  | t | | |  t |  | t | | |  t |  t | t | | |  |  | |  |  S(   Ni  (   R  RÀ  R$   Rò  R%   R   (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2190  s    c            s     j  d  t | | t |  | t | | |  t |  | t | | |  t |  t | t | | |  |  | |  |  S(   Ni  (   R  RÀ  R$   Ró  R%   R   (   R¢  R   R£  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2191  s    t   dt   cc      	      s     j  d  t t d  |  t t | t d  t d  | t d  t | t d  t d   |  | t | |  |   |  S(   Ni  i   i   (   R  RÀ  Rà  R*   R   Rá  Ró  (   RÁ  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2192  s    c      	      s     j  d  t t d  |  t t | t d  t d  | t d  t | t d  t d   |  | t | |  |   |  S(   Ni  i   i   (   R  RÀ  Rà  R*   R   Rá  Rò  (   RÁ  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2193"  s    c            s­     j  d  t |  t d  | t d  | t |  t | | |  | t d  |  |  t |  |  t | | |  | t d  t | | |  | | |  S(   Ni  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  RÁ  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2194'  s    c            s­     j  d  t |  t d  | t d  | t |  t | | |  | t d  |  |  t |  |  t | | |  | t d  t | | |  | | |  S(   Ni  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  RÁ  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2195,  s    c            sÁ     j  d  t | t d  |  t d  | t d  t |  t | | |  | t d  |  |  t |  t | | |  | t d  t | | |  |  | | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  RÁ  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement21961  s    c            sÁ     j  d  t | t d  |  t d  | t d  t |  t | | |  | t d  |  |  t |  t | | |  | t d  t | | |  |  | | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  RÁ  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement21976  s    c            s-     j  d  t t | |  |  |  |  S(   Ni  (   R  R€  Ró  (   RÁ  RÂ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2198;  s    c            s,     j  d  t t | |  |  |  |  S(   Ni  (   R  R€  Rò  (   RÁ  RÂ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2199@  s    c            sb     j  d  t t d  t t t d  | t d  |  | t d  t d   |  |  S(   Ni  i   i   (   R  R€  Rà  R;   t   Pi(   RÁ  RÂ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2200E  s    c            sS     j  d  t t d  t | t d  |  | t d  t d   |  |  S(   Ni  i   (   R  R€  Rà  R;   (   RÁ  RÂ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2201J  s    c            sj     j  d  t t | t | |  |   t t | |  |   t t t | |  |   |  |  S(   Ni  (   R  RÀ  Rá  Rò  R   (   RÁ  RÂ  R£  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2202O  s    c            sj     j  d  t t | t | |  |   t t | |  |   t t t | |  |   |  |  S(   Ni  (   R  RÀ  Rá  Ró  R   (   RÁ  RÂ  R£  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2203T  s    c            sb     j  d  t t d  t t t d  | t d  |  | t d  t d   |  |  S(   Ni  i   i   (   R  R€  Rà  R<   RË  (   RÁ  RÂ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2204Y  s    c            sS     j  d  t t d  t | t d  |  | t d  t d   |  |  S(   Ni  i   (   R  R€  Rà  R<   (   RÁ  RÂ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2205^  s    c      	      st     j  d  t t t | |  |   t | t | |  |   t t d  t t | |  |   |  |  S(   Ni  i   (   R  RÀ  Rá  Rò  R   Rà  (   RÁ  RÂ  R£  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2206c  s    c      	      st     j  d  t t t | |  |   t | t | |  |   t t d  t t | |  |   |  |  S(   Ni  i   (   R  RÀ  Rá  Ró  R   Rà  (   RÁ  RÂ  R£  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2207h  s    c      
      sé     j  d  t |  t | | |  | t d  t t d  d | t d  t d  d | t d  t d  d t | | |  t d   t | | |  |  | | t d  t t | | |  t d   |  S(   Ni   i   i   i   (   R  R€  Rò  Rà  R4   Ró  Rá  (   R£  RÁ  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2208m  s    c      
      sê     j  d  t |  t | | |  | t d  t t d  d | t d  t d  d | t d  t d  d t | | |  t d   t | | |  |  | | t d  t t | | |  t d   |  S(   Ni¡  i   i   i   (   R  R€  Ró  Rà  R4   Rò  Rá  (   R£  RÁ  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2209r  s    i   c            sÈ     j  d  t t d  | |  t t | | |  |  |  t | t d  | t d  |  t d  t d  |  t |  t d  t | | |  t | | |  t d  | |  S(   Ni¢  i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2210w  s    c            sÈ     j  d  t t d  | |  t t | | |  |  |  t | t d  | t d  |  t d  t d  |  t |  t d  t | | |  t | | |  t d  | |  S(   Ni£  i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2211|  s    c            s=     j  d  t t | |  t | | |  | |  |  S(   Ni€  (   R  R   RH  Rò  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2212  s    c            s=     j  d  t t | |  t | | |  | |  |  S(   Ni¥  (   R  R   RH  Ró  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2213  s    c      
      s[     j  d  t t d  |  t | | |  | t | |  t | | |   |  S(   NiŠ  i   (   R  R€  Rà  Ró  Rá  Rò  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2214  s    c      
      sZ     j  d  t t d  |  t | | |  | t | |  t | | |   |  S(   Ni§  i   (   R  R€  Rà  Rò  Rá  Ró  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2215  s    c      	      sµ     j  d  t | t d  | t d  | t | |  t | | |  | t d  |  |  t |  | |  t | | |  | t d  t | | |  | | |  S(   Niš  i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2216  s    c      	      sµ     j  d  t | t d  | t d  | t | |  t | | |  | t d  |  |  t |  | |  t | | |  | t d  t | | |  | | |  S(   Ni©  i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2217  s    c            sG     j  d  t t | | |  | | t | | |  |  |  S(   Niª  (   R  R€  Ró  Rò  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2218  s    c            sF     j  d  t t | | |  | | t | | |  |  |  S(   Ni«  (   R  R€  Rò  Ró  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2219€  s    c            s     j  d  t t d  | t t t d  t d  | | t d  |  | |  t | | |  t | |  t | | |    |  S(   Ni¬  i   i   (   R  RÀ  Rà  R*   R   Ró  Rá  Rò  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2220©  s    c            s     j  d  t t d  | t t t d  t d  | | t d  |  | |  t | | |  t | |  t | | |    |  S(   Ni­  i   i   (   R  RÀ  Rà  R*   R   Rò  Rá  Ró  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2221®  s    c      	      sÍ     j  d  t | t d  | t d  | t d  t | |  t | | |  | t d  |  |  t |  | |  t | | |  | t | | |  | | t d  | t d  |  S(   Ni®  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2222³  s    c      	      sÍ     j  d  t | t d  | t d  | t d  t | |  t | | |  | t d  |  |  t |  | |  t | | |  | t | | |  | | t d  | t d  |  S(   Ni¯  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2223ž  s    c            sç     j  d  t t d  | t d  d | | t d  d |  t t d  d | t d  d t d  d t d  d |  t | | |  t d  |  t | | |  | t | |  t | | |   |  S(   Ni°  i   i   iÿÿÿÿi   (   R  R€  Rà  R4   Rò  Ró  Rá  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2224œ  s    c            sæ     j  d  t t d  | t d  d | | t d  d |  t t d  d | t d  d t d  d t d  d |  t | | |  t d  |  t | | |  | t | |  t | | |   |  S(   Ni±  i   i   iÿÿÿÿi   (   R  R€  Rà  R4   Ró  Rò  Rá  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2225Â  s    c      	      s§     j  d  t | t |  t d  |  t | | |  | t |  | |  t | | |  t |  t t d  |  t | | |  | | |  |  S(   Ni²  i   (   R  RÀ  R$   Rà  Rò  R%   R   (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2226Ç  s    c      	      s§     j  d  t | t |  t d  |  t | | |  | t |  | |  t | | |  t |  t t d  |  t | | |  | | |  |  S(   Ni³  i   (   R  RÀ  R$   Rà  Ró  R%   R   (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2227Ì  s    c            s|     j  d  t t d  t | |   t t t d  | t d  | | t d  t d  |  | |   | |  S(   NiŽ  i   i   (   R  R€  Rà  Rá  R;   RË  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2228Ñ  s    c            sm     j  d  t t d  t | |   t | t d  | | t d  t d  |  | |   | |  S(   Niµ  i   (   R  R€  Rà  Rá  R;   (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2229Ö  s    c            s|     j  d  t t d  t | |   t t t d  | t d  | | t d  t d  |  | |   | |  S(   Ni¶  i   i   (   R  R€  Rà  Rá  R;   RË  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2230Û  s    c            s|     j  d  t t d  t | |   t t t d  | t d  | | t d  t d  |  | |   | |  S(   Ni·  i   (   R  R€  Rà  Rá  R;   RË  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2231à  s    c      
      s     j  d  t t | |  t | | |   t | |  t | | |  | |   t t | | |  |  t | | |  | |   |  |  S(   Niž  (   R  RÀ  Rá  Rò  R   (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2232å  s    c      
      s     j  d  t t | |  t | | |   t | |  t | | |  | |   t t | | |  |  t | | |  | |   |  |  S(   Ni¹  (   R  RÀ  Rá  Ró  R   (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2233ê  s    c            s    j  d  t t d  | t | |  t | | |  | t d  t | t d  | | |  t d  | t d  t | | |  |  t d  | t d  |  |  |  t |  | |  t | | |  | t d  t | | |  | | |  S(   Niº  i   iþÿÿÿi   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2234ï  s    c            s    j  d  t t d  | t | |  t | | |  | t d  t | t d  | | |  t d  | t d  t | | |  |  t d  | t d  |  |  |  t |  | |  t | | |  | t d  t | | |  | | |  S(   Ni»  i   iþÿÿÿi   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2235ô  s    c            s    t  | t d  |  t d  t d   }   j d  t | | |  t t d  t |  t | | |  | |  t | | |  |  | | |  S(   Ni   iŒ  (   R  Rà  R  R€  R=   Ró  Rò  (   R£  RÁ  RÂ  R  R  t   q(   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2236ø  s    -c            s    t  | t d  |  t d  t d   }   j d  t | | |  t t d  t |  t | | |  | |  t | | |  |  | | |  S(   Ni   iœ  (   R  Rà  R  R€  R=   Rò  Ró  (   R£  RÁ  RÂ  R  R  Rð  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2237þ  s    -c            s¡   t  | t d  |  t d  t d   }   j d  t | | |  t t d  t |  t | | |  | |  t | | |  |  | | |  S(   Ni   iŸ  (   R  Rà  R  R€  R=   Ró  Rò  (   R£  RÁ  RÂ  R  R  Rð  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2238  s    -c            s¡   t  | t d  |  t d  t d   }   j d  t | | |  t t d  t |  t | | |  | |  t | | |  |  | | |  S(   Ni   i¿  (   R  Rà  R  R€  R=   Rò  Ró  (   R£  RÁ  RÂ  R  R  Rð  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2239
  s    -c      
      sç   t  t t t d  | t d  | | t d   |  }   j d  t t d  | | t t t d  | |  | t d  | t d  | |  |  | t t t d  | t d  | | t d   |  |  S(   Ni   i   iÀ  i   (   RŠ   Rô  RË  Rà  R  RÀ  R*   R   (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2240  s    @c      
      s×   t  t | t d  | | t d   |  }   j d  t t d  | | t t t d  | | t d  | t d  | t d  |  | | |  | t | t d  | | t d   |  |  S(   Ni   iÁ  i   (   RŠ   Rô  Rà  R  RÀ  R*   R   (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2241  s    1c      
      sÉ   t  t | t d  | | t d   |  }   j d  t t d  | | t t t d  | |  | t d  | t d  | |  |  | t | t d  | | t d   |  |  S(   Ni   iÂ  i   (   RŠ   Rô  Rà  R  RÀ  R*   R   (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2242  s    1c            s|     j  d  t t d  t t t d  | t d  | | t d  t d  |  | |   | t | |   |  S(   NiÃ  i   i   (   R  R€  Rà  R<   RË  Rá  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2243#  s    c            sm     j  d  t t d  t | t d  | | t d  t d  |  | |   | t | |   |  S(   NiÄ  i   (   R  R€  Rà  R<   Rá  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2244(  s    c            s|     j  d  t t d  t t t d  | t d  | | t d  t d  |  | |   | t | |   |  S(   NiÅ  i   i   (   R  R€  Rà  R<   RË  Rá  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2245-  s    c            s|     j  d  t t d  t t t d  | t d  | | t d  t d  |  | |   | t | |   |  S(   NiÆ  i   (   R  R€  Rà  R<   RË  Rá  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement22462  s    c            s      j  d  t t | |  t | | |  | |   t | |  t | | |   t t d  t | | |  |  t | | |  | |   |  |  S(   NiÇ  i   (   R  RÀ  Rá  Rò  R   Rà  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement22477  s    c            s      j  d  t t | |  t | | |  | |   t | |  t | | |   t t d  t | | |  |  t | | |  | |   |  |  S(   NiÈ  i   (   R  RÀ  Rá  Ró  R   Rà  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2248<  s    c            s.    j  d  t t d  | t d  |  t d  | t d  t | |  t | | |  | t d  t | | t d  |  | t d  t | | |  |  |  |  t |  | |  t | | |  | t d  t | | |  | | t d  |  t d  | t d  |  S(   NiÉ  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2249A  s    c            s.    j  d  t t d  | t d  |  t d  | t d  t | |  t | | |  | t d  t | | t d  |  | t d  t | | |  |  |  |  t |  | |  t | | |  | t d  t | | |  | | t d  |  t d  | t d  |  S(   NiÊ  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2250F  s    c      
      sÌ     j  d  t t | | |  | t t | | |  t d   t t | | |  t d   t t | |  | | t | t d   t | t d   |  | t | | |   |  S(   NiË  i   (   R  RÀ  Ró  Rá  Rò  Rà  R*   R   (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2251K  s    c      
      sÍ     j  d  t t | | |  | t t | | |  t d   t t | | |  t d   t t | |  | | t | t d   t | t d   |  | t | | |   |  S(   NiÌ  i   (   R  RÀ  Rò  Rá  Ró  Rà  R*   R   (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2252P  s    c            sR     j  d  t | |  t t d  | t d  | |  t d  | |  S(   NiÍ  i   (   R  R   Rò  Rà  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2253U  s    t   pc      
      s     j  d  t | |  | t t | | |  t d  t d  d | | | |  t d  t d  d |  | | t | | |   |  S(   NiÎ  i   iÿÿÿÿ(   R  RÀ  R*   R   Rà  Rò  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2254Z  s    c      
      s     j  d  t | |  | t t | | |  t d  t d  d | | | |  t d  t d  d |  | | t | | |   |  S(   NiÏ  i   iÿÿÿÿ(   R  RÀ  R*   R   Rà  Ró  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2255_  s    c      
      s     j  d  t | |  | t t | | | | t d  | t d  |  t d  t d  d |  | | t | | |   |  S(   NiÐ  i   iÿÿÿÿ(   R  RÀ  R*   R   Rà  Rò  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2256d  s    c      
      s     j  d  t | |  | t t | | | | t d  | t d  |  t d  t d  d |  | | t | | |   |  S(   NiÑ  i   iÿÿÿÿ(   R  RÀ  R*   R   Rà  Ró  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2257i  s    t   gc            s     j  d  t | t | t | | |  |  |  |  t | | t | | |  |  t d  | | |  t d  |  S(   NiÒ  i   (   R  RÀ  R   Ró  R€  Rà  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2258n  s    c            s     j  d  t | t | t | | |  |  |  |  t | | t | | |  |  t d  | | |  t d  |  S(   NiÓ  i   (   R  RÀ  R   Rò  R€  Rà  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2259s  s    c      
      s{     j  d  t | | t d  | t | t | | |  t d  | |  | | t | | |  | |  |  S(   NiÔ  i   (   R  RÀ  Rà  R   Ró  Rò  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2260x  s    c      
      s{     j  d  t | | t d  | t | t | | |  t d  | |  | | t | | |  | |  |  S(   NiÕ  i   (   R  RÀ  Rà  R   Rò  Ró  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2261}  s    c            sl     j  d  t | | t | | |  |  t d  | | t | | |  | | | | | |  S(   NiÖ  i   (   R  R€  Ró  Rà  Rò  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2262  s    c            sm     j  d  t | | t | | |  |  t d  | | t | | |  | | | | | |  S(   Ni×  i   (   R  R€  Rò  Rà  Ró  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2263  s    c      
      s	    j  d  t | |  t d  | t d  | |  t d  t | t | | |  |  | | t | | |  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | | | | t d  | |  t d  |  S(   NiØ  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2264  s    c      
      s	    j  d  t | |  t d  | t d  | |  t d  t | t | | |  |  | | t | | |  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | | | | t d  | |  t d  |  S(   NiÙ  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2265  s    c            s|     j  d  t | | t | | |  |  t d  | | t | | |  | t d  | | | t d  |  S(   NiÚ  i   iÿÿÿÿ(   R  R€  Ró  Rà  Rò  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2266  s    c            s}     j  d  t | | t | | |  |  t d  | | t | | |  | t d  | | | t d  |  S(   NiÛ  i   iÿÿÿÿ(   R  R€  Rò  Rà  Ró  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2267  s    c      
      sñ     j  d  t | t d  | |  t d  | |  t | t | | |  |  | | t | | |  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | |  |  S(   NiÜ  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2268   s    c      
      sñ     j  d  t | t d  | |  t d  | |  t | t | | |  |  | | t | | |  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | |  |  S(   NiÝ  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2269¥  s    c      
      s    j  d  t | | |  t d  | t d  |  t d  t | t | | |  |  t d  | | t | | |  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | | | | |  t d  |  S(   NiÞ  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2270ª  s    c      
      s    j  d  t | | |  t d  | t d  |  t d  t | t | | |  |  t d  | | t | | |  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | | | | |  t d  |  S(   Niß  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2271¯  s    c      
      s*    j  d  t | t d  t d  | |  t d  | t d  |  t d  t | t | | |  |  t d  | | t | | |  | t d  |  |  t t d  | | t | | |  |  t d  | | t | | |  | t d  | | |  t d  |  S(   Nià  i   iÿÿÿÿi   iþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2272Ž  s    c      
      s)    j  d  t | t d  t d  | |  t d  | t d  |  t d  t | t | | |  |  t d  | | t | | |  | t d  |  |  t t d  | | t | | |  |  t d  | | t | | |  | t d  | | |  t d  |  S(   Niá  i   iÿÿÿÿi   iþÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2273¹  s    c            s©    j  d  t | t | | t | |  |   t t | |  |  t d   | t | |  |  | | t | |  |  t t t | |  |  t d   t | t | |  |   |  |  t | t | | t | |  |   t t | |  |  t d   | t | |  |  | | t | |  |  t t | |  |  t | t | |  |   t t | |  |  t d   |  |  S(   Niâ  i   (   R  RÀ  Rá  Rò  Ró  Rà  R   (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2274Ÿ  s    c            s©    j  d  t | t | | t | |  |   t t | |  |  t d   | t | |  |  | | t | |  |  t t t | |  |  t d   t | t | |  |   |  |  t | t | | t | |  |   t t | |  |  t d   | t | |  |  | | t | |  |  t t | |  |  t | t | |  |   t t | |  |  t d   |  |  S(   Niã  i   (   R  RÀ  Rá  Ró  Rò  Rà  R   (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2275Ã  s    c      
      sñ     j  d  t | t d  | |  t d  | |  t | t | | |  |  | | t | | |  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | |  |  S(   Niä  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2276È  s    c      
      sñ     j  d  t | t d  | |  t d  | |  t | t | | |  |  | | t | | |  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | |  |  S(   Niå  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2277Í  s    c      
      sû     j  d  t | t d  |  t d  | | |  t | t | | |  |  t d  | | t | | |  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | |  |  S(   Niæ  i   iÿÿÿÿiþÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2278Ò  s    c      
      sû     j  d  t | t d  |  t d  | | |  t | t | | |  |  t d  | | t | | |  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | |  |  S(   Niç  i   iÿÿÿÿiþÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2279×  s    c      
      s7    j  d  t | t d  |  t d  | t d  t d  | |  t d  t | t | | |  |  t d  | | t | | |  | t d  |  |  t t d  | | t | | |  |  t d  | | t | | |  | t d  | | t d  | |  t d  |  S(   Niè  i   iÿÿÿÿi   iþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2280Ü  s    c      
      s8    j  d  t | t d  |  t d  | t d  t d  | |  t d  t | t | | |  |  t d  | | t | | |  | t d  |  |  t t d  | | t | | |  |  t d  | | t | | |  | t d  | | t d  | |  t d  |  S(   Nié  i   iÿÿÿÿi   iþÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2281á  s    c      
      s	    j  d  t | |  t d  | t d  | |  t d  t | t | | |  |  | | t | | |  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | | | | t d  | |  t d  |  S(   Niê  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2282æ  s    c      
      s	    j  d  t | |  t d  | t d  | |  t d  t | t | | |  |  | | t | | |  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | | | | t d  | |  t d  |  S(   Nië  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2283ë  s    c            s     j  d  t | t d  | t | t | | |  |  t d  |  |  t | | t | | |  |  t d  | | |  t d  |  S(   Niì  i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2284ð  s    c            s     j  d  t | t d  | t | t | | |  |  t d  |  |  t | | t | | |  |  t d  | | |  t d  |  S(   Nií  i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2285õ  s    c      
      s³     j  d  t |  | |  t d  t | t | | |  |  |  |  t | | t | | |  |  t d  | | | | | t | | |  |  t d  |  S(   Niî  iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2286ú  s    c      
      s³     j  d  t |  | |  t d  t | t | | |  |  |  |  t | | t | | |  |  t d  | | | | | t | | |  |  t d  |  S(   Niï  iÿÿÿÿi   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2287ÿ  s    c            sª    j  d  t | t | | t | |  |   t t | |  |  t d   | t | |  |  | t | |  |  | t t | |  |  t | t | |  |   t t | |  |  t d   |  |  t | t | | t | |  |   t t | |  |  t d   | t | |  |  | | t | |  |  t t t | |  |  t d   t | t | |  |   |  |  S(   Nið  i   (   R  RÀ  Rá  Rò  Ró  Rà  R   (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2288  s    c            s©    j  d  t | t | | t | |  |   t t | |  |  t d   | t | |  |  | | t | |  |  t t t | |  |  t d   t | t | |  |   |  |  t | t | | t | |  |   t t | |  |  t d   | t | |  |  | t | |  |  | t t | |  |  t | t | |  |   t t | |  |  t d   |  |  S(   Niñ  i   (   R  RÀ  Rá  Ró  Rò  Rà  R   (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2289	  s    i   c      
      sÇ     j  d  t | t d  t d  | t t | | t | |  |   t | t | |  |   |  |  t | t | t | |  |   t | | t | |  |   | |  |  S(   Niò  i   (   R  RÀ  Rà  R   Rá  Rò  Ró  R€  (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2290  s    c      
      sÇ     j  d  t | t d  t d  | t t | | t | |  |   t | t | |  |   |  |  t | t | t | |  |   t | | t | |  |   | |  |  S(   Nió  i   (   R  RÀ  Rà  R   Rá  Ró  Rò  R€  (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2291  s    c      
      s    j  d  t t d  | |  t d  t d  |  t d  t | t | | |  |  | | t | | |  t d  d |  |  t t d  | | t | | |  |  t d  | | | | t | | |  t d  d t d  |  t d  |  S(   Niô  i   iþÿÿÿiÿÿÿÿi   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2292  s    c      
      s    j  d  t t d  | |  t d  t d  |  t d  t | t | | |  |  | | t | | |  t d  d |  |  t t d  | | t | | |  |  t d  | | | | t | | |  t d  d t d  |  t d  |  S(   Niõ  i   iþÿÿÿiÿÿÿÿi   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2293  s    c            s    j  d  t | t d  |  t d  t d  | t d  |  t d  t | t | | |  |  t d  | | t | | |  t d  d |  |  t | | t | | |  |  t d  | | | t | | t | | |   |  t d  |  S(   Niö  i   i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  Rá  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2294"  s    c            s    j  d  t | t d  |  t d  t d  | t d  |  t d  t | t | | |  |  t d  | | t | | |  t d  d |  |  t | | t | | |  |  t d  | | | t | | t | | |   |  t d  |  S(   Ni÷  i   i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  Rá  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2295'  s    c      
      sG    j  d  t | | | t | | |  |  t d  t | | |  t d  |  t d  t d  d t | | |  t d  |  t d  t d  d | | t t t d  | | | |  t d  t d  d t d  | | | | |  t d  t d  d |  | t | | |   |  S(   Niø  i   i   iÿÿÿÿ(   R  RÀ  Ró  Rà  Rò  R*   R   (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2296,  s    c      
      sH    j  d  t | | | t | | |  |  t d  t | | |  t d  |  t d  t d  d t | | |  t d  |  t d  t d  d | | t t t d  | | | |  t d  t d  d t d  | | | | |  t d  t d  d |  | t | | |   |  S(   Niù  i   i   iÿÿÿÿ(   R  RÀ  Rò  Rà  Ró  R*   R   (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement22971  s    c      
      s4    j  d  t | t d  | t | | |  |  t d  | | t | | |  |  t d  t d  d | | t | | |  |  t d  t d  d | | t t | | | |  t d  t d  d | | | | |  t d  t d  d |  | t | | |   |  S(   Niú  i   i   iÿÿÿÿ(   R  RÀ  Rà  Ró  Rò  R*   R   (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement22986  s    c      
      s5    j  d  t | t d  | t | | |  |  t d  | | t | | |  |  t d  t d  d | | t | | |  |  t d  t d  d | | t t | | | |  t d  t d  d | | | | |  t d  t d  d |  | t | | |   |  S(   Niû  i   i   iÿÿÿÿ(   R  RÀ  Rà  Rò  Ró  R*   R   (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2299;  s    c      
      s=    j  d  t t d  | t d  |  t d  t | t | | |  |  t d  | | t | | |  | t d  | |  t d  | | |  t d  t | | |  |  |  t | t | | |  |  t d  | | t | | |  | t | | |  | | |  t d  |  S(   Niü  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2300@  s    c      
      s=    j  d  t t d  | t d  |  t d  t | t | | |  |  t d  | | t | | |  | t d  | |  t d  | | |  t d  t | | |  |  |  t | t | | |  |  t d  | | t | | |  | t | | |  | | |  t d  |  S(   Niý  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2301E  s    c      
      sy    j  d  t t d  | t d  |  t d  t | t | | |  |  t d  | | t | | |  | t d  | t d  |  t d  | | | |  t d  t | | |  | t d  | t d  |  |  t | t | | |  |  t d  | | t | | |  | t d  | t | | |  | | | |  t d  |  S(   Niþ  i   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2302J  s    c      
      sy    j  d  t t d  | t d  |  t d  t | t | | |  |  t d  | | t | | |  | t d  | t d  |  t d  | | | |  t d  t | | |  | t d  | t d  |  |  t | t | | |  |  t d  | | t | | |  | t d  | t | | |  | | | |  t d  |  S(   Niÿ  i   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2303O  s    c      
      sC    j  d  t t d  | |  t | t | | |  |  | | t | | |  | t d  | t d  | |  | | t d  | |  t d  t | | |  | t d  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | |  |  S(   Ni 	  i   iþÿÿÿi   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2304T  s    c      
      sC    j  d  t t d  | |  t | t | | |  |  | | t | | |  | t d  | t d  | |  | | t d  | |  t d  t | | |  | t d  | t d  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | |  |  S(   Ni	  i   iþÿÿÿi   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2305Y  s    c      
      s    j  d  t | t d  |  t d  | | t d  t | t | | |  |  t d  | | t | | |  | t d  t | | |  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | t d  |  S(   Ni	  i   iÿÿÿÿi   iþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2306^  s    c      
      s    j  d  t | t d  |  t d  | | t d  t | t | | |  |  t d  | | t | | |  | t d  t | | |  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | t d  |  S(   Ni	  i   iÿÿÿÿi   iþÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2307c  s    c      
      sY    j  d  t t d  | t d  | t d  | t d  t | t | | |  |  | | t | | |  | t d  | | t d  | | |  t d  t | | |  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | t d  | t d  | t d  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2308h  s    c      
      sY    j  d  t t d  | t d  | t d  | t d  t | t | | |  |  | | t | | |  | t d  | | t d  | | |  t d  t | | |  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | t d  | t d  | t d  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2309m  s    c      
      s    j  d  t | t d  |  t d  | | |  t | t | | |  |  t d  | | t | | |  | | t | | |  | |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | |  |  S(   Ni	  i   iÿÿÿÿiþÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2310r  s    c      
      s    j  d  t | t d  |  t d  | | |  t | t | | |  |  t d  | | t | | |  | | t | | |  | |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | |  |  S(   Ni	  i   iÿÿÿÿiþÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2311w  s    c      
      s¬    j  d  t t d  | t d  | t d  | t d  |  t d  t | t | | |  |  t d  | | t | | |  | | t d  |  t d  | | | |  t d  t | | |  | t d  | |  t d  |  |  t | t | | |  |  t d  | | t | | |  | t d  | t | | |  | | | | t d  | t d  |  t d  |  S(   Ni	  i   i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2312|  s    c      
      s¬    j  d  t t d  | t d  | t d  | t d  |  t d  t | t | | |  |  t d  | | t | | |  | | t d  |  t d  | | | |  t d  t | | |  | t d  | |  t d  |  |  t | t | | |  |  t d  | | t | | |  | t d  | t | | |  | | | | t d  | t d  |  t d  |  S(   Ni		  i   i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2313  s    c            sÇ    j  d  t t d  t t d   t | t | |  |   t | | t | |  |  | | t | |  |  t d   |  | t t | |  |  t | |  |  t d  t | |  |  t | |  |  t d   t | | t | |  |   t t t d  t | t d  | | | | t d   |  | t t | |  |  t | |  |  t d  t | |  |  t | |  |  t d    |  S(   Ni
	  i   i   i   (   R  RÀ  Rà  Rá  Ró  Rò  R*   R   (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2314  s    c            sÆ    j  d  t t d  t t d   t | t | |  |   t | | t | |  |  | | t | |  |  t d   |  | t t | |  |  t | |  |  t d  t | |  |  t | |  |  t d   t | | t | |  |   t t t d  t | t d  | | | | t d   |  | t t | |  |  t | |  |  t d  t | |  |  t | |  |  t d    |  S(   Ni	  i   i   i   (   R  RÀ  Rà  Rá  Rò  Ró  R*   R   (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2315  s    c            st    j  d  t | | t | | |  |  t d  | | t | | |  t d  | | t | | |  t d  | t d  | | t | | |  | t d  t | | |  t d  t | t d  | t d  t d  | t d  t d  | | t | | |  | | t | | |  t d   | | | | t d  |  S(   Ni	  iÿÿÿÿi   i   (   R  R€  Ró  Rà  Rò  R4   (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2316  s    c            su    j  d  t | | t | | |  |  t d  | | t | | |  t d  | | t | | |  t d  | t d  | | t | | |  | t d  t | | |  t d  t | t d  | t d  t d  | t d  t d  | | t | | |  | | t | | |  t d   | | | | t d  |  S(   Ni	  iÿÿÿÿi   i   (   R  R€  Rò  Rà  Ró  R4   (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2317  s    c      
      s
    j  d  t | | t d  | | t | t | | |  |  t d  | | t | | |  | t | | |  t d  |  |  t | t | | |  |  t d  | | t | | |  | t d  | | | | |  t d  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2318  s    c      
      s
    j  d  t | | t d  | | t | t | | |  |  t d  | | t | | |  | t | | |  t d  |  |  t | t | | |  |  t d  | | t | | |  | t d  | | | | |  t d  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2319  s    c            s    j  d  t | | t d  | | t | t | | |  |  t d  | | t | | |  | t | | |  t d  |  |  t | | |  t d  | t d  | | |  t d  t | t | | |  |  t d  | | t | | |  | |  |  t | t | | |  |  t d  | | t | | |  | t d  | | | | |  t d  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2320€  s    c            s    j  d  t | | t d  | | t | t | | |  |  t d  | | t | | |  | t | | |  t d  |  |  t | | |  t d  | t d  | | |  t d  t | t | | |  |  t d  | | t | | |  | |  |  t | t | | |  |  t d  | | t | | |  | t d  | | | | |  t d  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2321©  s    c            s  t  | t d  | t d  t d   }   j d  t | | t d  | t t d  t | t | |  |   | t | |  |  | |  |  t | | t d  | t t d  t | t | |  |   | t | |  |  | |  |  t | | |  t t t |  | t d  | t d  | t d  | t d  | t d  |  | | t | |  |   |  S(   Ni   i	  i   (   R  Rà  R  RÀ  R   Rá  Ró  R*   (   R   R£  R  R  R  R¡  Rð  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2322­  s    .c            s  t  | t d  | t d  t d   }   j d  t | | t d  | t t d  t | t | |  |   | t | |  |  | |  |  t | | t d  | t t d  t | t | |  |   | t | |  |  | |  |  t | | |  t t t |  | t d  | t d  | t d  | t d  | t d  |  | | t | |  |   |  S(   Ni   i	  i   (   R  Rà  R  RÀ  R   Rá  Rò  R*   (   R   R£  R  R  R  R¡  Rð  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2323³  s    .c            s  t  | t d  | t d  t d   }   j d  t | t d  | t t d  t | t | |  |   | t | |  |  | |  |  t | t d  | t t d  t | t | |  |   | t | |  |  | |  |  t | | |  t t t d  t |  | t d  | t d  | t d  | t d  | t d  |  | | t | |  |   |  S(   Ni   i	  i   (   R  Rà  R  RÀ  R   Rá  Ró  R*   (   R   R£  R  R  R  R¡  Rð  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2324¹  s    .c            s  t  | t d  | t d  t d   }   j d  t | t d  | t t d  t | t | |  |   | t | |  |  | |  |  t | t d  | t t d  t | t | |  |   | t | |  |  | |  |  t | | |  t t t d  t |  | t d  | t d  | t d  | t d  | t d  |  | | t | |  |   |  S(   Ni   i	  i   (   R  Rà  R  RÀ  R   Rá  Rò  R*   (   R   R£  R  R  R  R¡  Rð  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2325¿  s    .c            sÁ    j  d  t | | t | | |  |  t d  | t | | |  t d  | | t | | |  |  t d  t d  d | t | | |  t d  | | t | | |  |  t d  t d  d | | t | | |  | t d  t | |  |  t d  t d  d |  t d  t d  d | |  t d  | | | | t | | |  | | | | t | | |   | | | |  |  S(   Ni	  iÿÿÿÿi   i   (   R  R€  Ró  Rà  Rò  R9   (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2326Æ  s    c            sÂ    j  d  t | | t | | |  |  t d  | t | | |  t d  | | t | | |  |  t d  t d  d | t | | |  t d  | | t | | |  |  t d  t d  d | | t | | |  | t d  t | |  |  t d  t d  d |  t d  t d  d | |  t d  | | | | t | | |  | | | | t | | |   | | | |  |  S(   Ni	  iÿÿÿÿi   i   (   R  R€  Rò  Rà  Ró  R9   (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2327Ë  s    c      	      sx    j  d  t | | t | | |  |  t d  t d  | | t | | |  | | |  t d  t d  d t d  | | t | | |  | | |  t d  t d  d | t t | | | | | | | | | | | |  t d  t d  d | | | | | | | |  t d  t d  d |  | t | | |   |  S(   Ni	  iÿÿÿÿi   i   (   R  RÀ  Ró  Rà  Rò  R*   R   (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2328Ð  s    c      	      sy    j  d  t | | t | | |  |  t d  t d  | | t | | |  | | |  t d  t d  d t d  | | t | | |  | | |  t d  t d  d | t t | | | | | | | | | | | |  t d  t d  d | | | | | | | |  t d  t d  d |  | t | | |   |  S(   Ni	  iÿÿÿÿi   i   (   R  RÀ  Rò  Rà  Ró  R*   R   (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2329Õ  s    c      
      s¯     j  d  t | t d  t |   | t | | |  t |   | t | | |  t |   t | t | | |  |  | | t | | |  | |  |  S(   Ni	  i   (   R  RÀ  Rà  R$   Ró  R%   R   Rò  (   R  R¢  R   R  R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2330Ú  s    c      
      s¯     j  d  t | t d  t |   | t | | |  t |   | t | | |  t |   t | t | | |  |  | | t | | |  | |  |  S(   Ni	  i   (   R  RÀ  Rà  R$   Rò  R%   R   Ró  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2331ß  s    c      	      s»     j  d  t t d  | t | t | | |  |  t | | |  t d  |  |  t t d  | | t | t | | |  |  t d  t | | |  |  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Rô  Ró  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2332ä  s    c      	      s»     j  d  t t d  | t | t | | |  |  t | | |  t d  |  |  t t d  | | t | t | | |  |  t d  t | | |  |  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Rô  Rò  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2333é  s    c      
      s     j  d  t t d  | t t | |  | | |  t d  t d  d | | | |  t d  t d  d |  | | t | | |   |  S(   Ni	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R*   R   Rò  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2334î  s    c      
      s      j  d  t t d  | t t | |  | | |  t d  t d  d | | | |  t d  t d  d |  | | t | | |   |  S(   Ni	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R*   R   Ró  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2335ó  s    c      	      s[     j  d  t | |  t | | t | | |  | t | | |  |  |  |  S(   Ni 	  (   R  RÀ  R   Rò  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2336ø  s    c      	      s[     j  d  t | |  t | | t | | |  | t | | |  |  |  |  S(   Ni!	  (   R  RÀ  R   Ró  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2337ý  s    c            s     j  d  t | |  t t | | t | | |  |  t d  | | t | | |  | |  t d  t | | |  |  |  |  |  S(   Ni"	  i   (   R  RÀ  R   RÊ   Rò  Rà  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2338  s    c            s     j  d  t | |  t t | | t | | |  |  t d  | | t | | |  | |  t d  t | | |  |  |  |  |  S(   Ni#	  i   (   R  RÀ  R   RÊ   Ró  Rà  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2339  s    c      	      sV     j  d  t t | t | | |  |  | | t | | |  | |  |  S(   Ni$	  (   R  R   RÊ   Rô  Rò  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2340  s    c      	      sV     j  d  t t | t | | |  |  | | t | | |  | |  |  S(   Ni%	  (   R  R   RÊ   Rô  Ró  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2341  s    c            s€     j  d  t | t d  | t t | t | | |  |  t d  t | | |  | | t | | |  | t | | |  | |  |  |  S(   Ni&	  i   i   (   R  RÀ  Rà  R   RÊ   Rô  Ró  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2342  s    c            s€     j  d  t | t d  | t t | t | | |  |  t d  t | | |  | | t | | |  | t | | |  | |  |  |  S(   Ni'	  i   i   (   R  RÀ  Rà  R   RÊ   Rô  Rò  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2343  s    c      
      s&    j  d  t t d  | t d  t d  |  t d  t | | t | | |  |  t d  | |  | t d  |  t d  t | | |  t | | |  t d  |  |  t | | | t | | |  |  | | t d  |  t d  t | | |  |  S(   Ni(	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2344   s    c      
      s&    j  d  t t d  | t d  t d  |  t d  t | | t | | |  |  t d  | |  | t d  |  t d  t | | |  t | | |  t d  |  |  t | | | t | | |  |  | | t d  |  t d  t | | |  |  S(   Ni)	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2345%  s    c      	      sá     j  d  t t d  | |  t | | t | | |  |  | t | | |  | |  t d  t | | |  t d  |  |  t | | t | | |  |  t d  | | |  t | | |  |  S(   Ni*	  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2346*  s    c      	      sá     j  d  t t d  | |  t | | t | | |  |  | t | | |  | |  t d  t | | |  t d  |  |  t | | t | | |  |  t d  | | |  t | | |  |  S(   Ni+	  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2347/  s    i   c            s©     j  d  t | | t | | |  |  t d  t | | |  t d  t d  t | | |  t d  |  t | | t | | |  |  |  S(   Ni,	  i   i   i   (   R  R   Rò  Rà  Ró  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement23484  s    c            s©     j  d  t | | t | | |  |  t d  t | | |  t d  t d  t | | |  t d  |  t | | t | | |  |  |  S(   Ni-	  i   i   i   (   R  R   Ró  Rà  Rò  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement23499  s    c      	      sÞ     j  d  t | t d  t | | t | | |  |  t d  | |  t d  t | | |  | |  t | | |  |  |  t | | t | | |  |  t d  | | t | | |  |  S(   Ni.	  iþÿÿÿi   (   R  RÀ  Rà  R   Rò  R€  Rô  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2350>  s    c      	      sÞ     j  d  t | t d  t | | t | | |  |  t d  | |  t d  t | | |  | |  t | | |  |  |  t | | t | | |  |  t d  t | | |  | | |  S(   Ni/	  iþÿÿÿi   (   R  RÀ  Rà  R   Ró  R€  Rô  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2351C  s    c      	      sÆ     j  d  t t d  | t | | t | | |  |  | |  t d  t | | |  | |  t | | |  |  |  t | | t | | |  |  | t | | |  |  S(   Ni0	  i   (   R  RÀ  Rà  R   Rò  R€  Rô  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2352H  s    c      	      sÆ     j  d  t t d  | t | | t | | |  |  | |  t d  t | | |  | |  t | | |  |  |  t | | t | | |  |  t | | |  | |  S(   Ni1	  i   (   R  RÀ  Rà  R   Ró  R€  Rô  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2353M  s    c      
      sþ     j  d  t | t d  t | | t | | |  |  t d  t | | |  t d  t d  t | | |  t d  |  |  t t d  | | t | | t | | |  |  t d  t | | |  t d  |  |  S(   Ni2	  iþÿÿÿi   i   i   i   (   R  RÀ  Rà  R   Rò  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2354R  s    c      
      sþ     j  d  t | t d  t | | t | | |  |  t d  t | | |  t d  t d  t | | |  t d  |  |  t t d  | | t | | t | | |  |  t d  t | | |  t d  |  |  S(   Ni3	  iþÿÿÿi   i   i   i   (   R  RÀ  Rà  R   Ró  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2355W  s    c            sš     j  d  t | | t | | |  |  t d  t | | |  t d  t d  t | | |  t d  |  t | | t | | |  |  |  S(   Ni4	  i   i   i   (   R  R   Rò  Rà  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2356\  s    c            sš     j  d  t | | t | | |  |  t d  t | | |  t d  t d  t | | |  t d  |  t | | t | | |  |  |  S(   Ni5	  i   i   i   (   R  R   Ró  Rà  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2357a  s    c      
      së     j  d  t t | | t | | |   t | | t | | |   | | t | | |  t t | |  | | |  t d  t d  d | | | |  t d  t d  d |  | | t | | |   |  S(   Ni6	  i   iÿÿÿÿ(   R  RÀ  Rá  Rò  Ró  R*   R   Rà  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2358f  s    c      
      sì     j  d  t t | | t | | |   t | | t | | |   | | t | | |  t t | |  | | |  t d  t d  d | | | |  t d  t d  d |  | | t | | |   |  S(   Ni7	  i   iÿÿÿÿ(   R  RÀ  Rá  Ró  Rò  R*   R   Rà  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2359k  s    c      
      sN    j  d  t | t | | |  |  t d  | t | | |  |  t d  | | t | | |  |  t d  t d  d | | t | | |  |  t d  t d  d | | t t | |  | | |  t d  t d  d | | | |  t d  t d  d |  | | t | | |   |  S(   Ni8	  iÿÿÿÿi   i   (   R  RÀ  Rò  Rà  Rô  R*   R   (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2360p  s    c      
      sO    j  d  t | t | | |  |  t d  | t | | |  |  t d  | | t | | |  |  t d  t d  d | | t | | |  |  t d  t d  d | | t t | |  | | |  t d  t d  d | | | |  t d  t d  d |  | | t | | |   |  S(   Ni9	  iÿÿÿÿi   i   (   R  RÀ  Ró  Rà  Rô  R*   R   (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2361u  s    c      
      s     j  d  t t d  | t t | |  | | | | t d  | t d  |  t d  t d  d |  | | t | | |   |  S(   Ni:	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R*   R   Rò  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2362z  s    c      
      s     j  d  t t d  | t t | |  | | | | t d  | t d  |  t d  t d  d |  | | t | | |   |  S(   Ni;	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R*   R   Ró  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2363  s    c      	      sV     j  d  t t | t | | |  |  | | t | | |  | |  |  S(   Ni<	  (   R  R   RÊ   Rô  Rò  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2364  s    c      	      sV     j  d  t t | t | | |  |  | | t | | |  | |  |  S(   Ni=	  (   R  R   RÊ   Rô  Ró  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2365  s    c            sw     j  d  t | | t | | |  |  t | | |  t d  t d  t | | |  t d  |  S(   Ni>	  i   i   (   R  R   Rò  Rà  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2366  s    c            sw     j  d  t | | t | | |  |  t | | |  t d  t d  t | | |  t d  |  S(   Ni?	  i   i   (   R  R   Ró  Rà  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2367  s    c            s    j  d  t t d  t d  | t d  | |  t d  t | | t | | |  |  t d  t t d  | t d  | | |  t d  t | | |  | t d  |  t d  |  t d  t d  | t d  | t d  |  |  t d  t | | |  t d  |  t | | |  t d  |  |  t | | t | | |  |  t d  t | | |  t d  | | t | | |  t d  |  t | | t | | |  |  t d  t d  | t d  | t d  |  t d  t | | |  t d  | t d  | | |  t d  t | | |  t d  |  S(   Ni@	  i   i   i   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2368  s    c            s    j  d  t t d  t d  | t d  | |  t d  t | | t | | |  |  t d  t t d  | t d  | | |  t d  t | | |  | t d  |  t d  |  t d  t d  | t d  | t d  |  |  t d  t | | |  t d  |  t | | |  t d  |  |  t | | t | | |  |  t d  t | | |  t d  | | t | | |  t d  |  t | | t | | |  |  t d  t d  | t d  | t d  |  t d  t | | |  t d  | t d  | | |  t d  t | | |  t d  |  S(   NiA	  i   i   i   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2369  s    c            s6    j  d  t t d  t d  | t d  t | | t | | |  |  t t d  | t d  | | |  t | | |  | t d  |  t d  |  t d  t d  | t d  | t d  |  |  t d  t | | |  t d  |  t | | |  t d  |  |  t | | t | | |  |  t d  t | | |  t d  | | t | | |  t d  |  t | | | t | | |  |  t d  |  t d  t | | |  t d  | t d  | t | | |  t d  |  S(	   NiB	  i   i   i   i   iþÿÿÿiÿÿÿÿi   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2370¢  s    c            s6    j  d  t t d  t d  | t d  t | | t | | |  |  t t d  | t d  | | |  t | | |  | t d  |  t d  |  t d  t d  | t d  | t d  |  |  t d  t | | |  t d  |  t | | |  t d  |  |  t | | t | | |  |  t d  t | | |  t d  | | t | | |  t d  |  t | | | t | | |  |  t d  |  t d  t | | |  t d  | t d  | t | | |  t d  |  S(	   NiC	  i   i   i   i   iþÿÿÿiÿÿÿÿi   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2371§  s    i   c            s1    j  d  t t d  t d  | t d  | t d  |  |  t d  t | | t | | |  |  t t d  | t d  t d  | t d  | t d  |  |  t d  | | |  t d  | t d  | t d  |  |  t d  t | | |  | t d  |  |  t d	  |  t d
  |  t d  t d  | t d  t d  | t d  | t d  |  t d  t d  |  t d  | t d  |  |  t d	  |  t d  |  t d  t | | |  t d  |  t | | |  t d  |  |  t | | t | | |  |  t d  t | | |  t d  | | t | | |  t d  |  t | | t | | |  |  t d  t | | |  | | |  t | | |  t d  |  t | | | t | | |  |  t d  |  t d	  t | | |  t d  | t d  | t | | |  t d  |  t | | | t | | |  |  t d  t | | |  | t d  | |  |  t d  t | | |  t d  |  S(   NiD	  i   i   i   iÿÿÿÿi<   i   i,   iüÿÿÿiýÿÿÿi(   iþÿÿÿi   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2372¬  s    c            s1    j  d  t t d  t d  | t d  | t d  |  |  t d  t | | t | | |  |  t t d  | t d  t d  | t d  | t d  |  |  t d  | | |  t d  | t d  | t d  |  |  t d  t | | |  | t d  |  |  t d	  |  t d
  |  t d  t d  | t d  t d  | t d  | t d  |  t d  t d  |  t d  | t d  |  |  t d	  |  t d  |  t d  t | | |  t d  |  t | | |  t d  |  |  t | | t | | |  |  t d  t | | |  t d  | | t | | |  t d  |  t | | t | | |  |  t d  t | | |  | | |  t | | |  t d  |  t | | | t | | |  |  t d  |  t d	  t | | |  t d  | t d  | t | | |  t d  |  t | | | t | | |  |  t d  t | | |  | t d  | |  |  t d  t | | |  t d  |  S(   NiE	  i   i   i   iÿÿÿÿi<   i   i,   iüÿÿÿiýÿÿÿi(   iþÿÿÿi   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2373±  s    c            sf    j  d  t | | t d  | t d  t | t | | |  |  t | | |  t d  |  |  t | t d  | t d  | t d  | t d  t | t | | |  |  t d  | | t | | |  |  |  t | | | t d  | t d  t | t | | |  |  t d  t | | |  |  |  S(   NiF	  i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Rô  Rò  Ró  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2374¶  s    c            sf    j  d  t | | t d  | t d  t | t | | |  |  t | | |  t d  |  |  t | t d  | t d  | t d  | t d  t | t | | |  |  t d  | | t | | |  |  |  t | | | t d  | t d  t | t | | |  |  t d  t | | |  |  |  S(   NiG	  i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Rô  Ró  Rò  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2375»  s    c            sF    j  d  t t d  | t | t | | |  |  t | | |  t d  |  |  t | | t d  | t | t | | |  |  t d  t | | |  |  |  t | t d  | t d  | t d  | t d  t | t | | |  |  t d  | | t | | |  |  |  S(   NiH	  i   i   (   R  RÀ  Rà  R   Rô  Ró  Rò  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2376À  s    c            sF    j  d  t t d  | t | t | | |  |  t | | |  t d  |  |  t | | t d  | t | t | | |  |  t d  t | | |  |  |  t | t d  | t d  | t d  | t d  t | t | | |  |  t d  | | t | | |  |  |  S(   NiI	  i   i   (   R  RÀ  Rà  R   Rô  Rò  Ró  (   R  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2377Å  s    c      
      sŽ     j  d  t t | t | |  |   t t | |  |   t t | |  |   t t t | |  |   | | t | |  |  t t | |  |   |  |  S(   NiJ	  (   R  RÀ  Rá  Rô  Ró  Rò  R   (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2378Ê  s    c      
      sŽ     j  d  t t | t | |  |   t t | |  |   t t | |  |   t t t | |  |   | | t | |  |  t t | |  |   |  |  S(   NiK	  (   R  RÀ  Rá  Rô  Rò  Ró  R   (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2379Ï  s    c      
      sŽ     j  d  t t t | |  |   t | t | |  |   t t | |  |   t t t | |  |   | | t | |  |  t t | |  |   |  |  S(   NiL	  (   R  RÀ  Rá  Rò  Rô  Ró  R   (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2380Ô  s    c      
      sŽ     j  d  t t t | |  |   t | t | |  |   t t | |  |   t t t | |  |   | | t | |  |  t t | |  |   |  |  S(   NiM	  (   R  RÀ  Rá  Ró  Rô  Rò  R   (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2381Ù  s    c            s     j  d  t t | | t | | |  | t | | |  t d  t d  |  t d  t | | |  |  |  |  S(   NiN	  i   i   (   R  R   RÊ   Rò  Rà  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2382Þ  s    c            s     j  d  t t | | t | | |  | t | | |  t d  t d  |  t d  t | | |  |  |  |  S(   NiO	  i   i   (   R  R   RÊ   Ró  Rà  (   R  R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2383ã  s    c            sN     j  d  t | t | | |  |  | | t | | |  | |  S(   NiP	  (   R  R   Rô  Rò  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2384è  s    c            sN     j  d  t | t | | |  |  | | t | | |  | |  S(   NiQ	  (   R  R   Rô  Ró  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2385í  s    c      
      s¯     j  d  t | t d  t |   | t | | |  t |   | t | | |  t |   t | t | | |  |  | | t | | |  | |  |  S(   NiR	  i   (   R  RÀ  Rà  R$   Rô  R%   R   Rò  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2386ò  s    c      
      s¯     j  d  t | t d  t |   | t | | |  t |   | t | | |  t |   t | t | | |  |  | | t | | |  | |  |  S(   NiS	  i   (   R  RÀ  Rà  R$   Rô  R%   R   Ró  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2387÷  s    c            s°     j  d  t | t d  | | | | t d  |  t | | | | t | |  |  |  |  t | | t | |  |  t | |  |  t d  |  |  S(   NiT	  i   (   R  R€  Rà  Ró  Rò  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2388ü  s    c            s°     j  d  t | t d  | | | | t d  |  t | | | | t | |  |  |  |  t | | t | |  |  t | |  |  t d  |  |  S(   NiU	  i   (   R  R€  Rà  Rò  Ró  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2389  s    c      
      sm     j  d  t | | | | | t t d  | | t | |  |  |  |  t | | | |  S(   NiV	  i   (   R  RÀ  R   Rà  Rò  R€  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2390  s    c      
      sm     j  d  t | | | | | t t d  | | t | |  |  |  |  t | | | |  S(   NiW	  i   (   R  RÀ  R   Rà  Ró  R€  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2391  s    c	   	   	      sq     j  d  t | |  | |  t | | t | | |  |  | t | | |  t d  |  |  |  S(   NiX	  i   (   R  RÀ  R   Rò  Ró  Rà  (	   R¢  R   R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2392  s    c	   	   	      sq     j  d  t | |  | |  t | | t | | |  |  | t | | |  t d  |  |  |  S(   NiY	  i   (   R  RÀ  R   Ró  Rò  Rà  (	   R¢  R   R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2393  s    c      
      s€     j  d  t | | t | |  |  t | | t | |  |   t | | t | |  |   t t | |  |  | | t | |  |  |  |  S(   NiZ	  (   R  RÀ  Ró  Rá  Rò  R   (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2394  s    c      
      s€     j  d  t | | t | |  |  t | | t | |  |   t | | t | |  |   t t | |  |  | | t | |  |  |  |  S(   Ni[	  (   R  RÀ  Rò  Rá  Ró  R   (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2395  s    c      
      s     j  d  t t d  | | | t | |  |  | t | |  |  |  t | | t | |  |   t d  | t d  |  S(   Ni\	  i   i   (   R  R€  Rà  Rò  Ró  Rá  (   R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2396$  s    c      
      s     j  d  t t d  | | | t | |  |  | t | |  |  |  t | | t | |  |   t d  | t d  |  S(   Ni]	  i   i   (   R  R€  Rà  Ró  Rò  Rá  (   R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2397)  s    c	   	   
      s3    j  d  t | t d  |  t d  | t d  | t d  t | | t | | |  |  t d  | | t | | |  | t d  |  |  t t d  | | | t | | |  |  t d  | | t | | |  | t | | |  | t d  | t d  |  S(   Ni^	  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2398.  s    c	   	   
      s2    j  d  t | t d  |  t d  | t d  | t d  t | | t | | |  |  t d  | | t | | |  | t d  |  |  t t d  | | | t | | |  |  t d  | | t | | |  | t | | |  | t d  | t d  |  S(   Ni_	  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement23993  s    c	   	   
      sù     j  d  t | t d  |  t d  |  | t | | t | | |  |  t d  | | t | | |  | |  |  t | | | t | | |  |  t d  | | t | | |  | t | | |  | |  | |  S(   Ni`	  i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement24008  s    c	   	   
      sù     j  d  t | t d  |  t d  |  | t | | t | | |  |  t d  | | t | | |  | |  |  t | | | t | | |  |  t d  | | t | | |  | t | | |  | |  | |  S(   Nia	  i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2401=  s    c      
      s     j  d  t t | |  |  t | | t | |  |   t | | t | |  |   t t d  t | |  |  |  |  S(   Nib	  i   (   R  RÀ  Ró  Rá  Rò  R   Rà  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2402B  s    c      
      s     j  d  t t | |  |  t | | t | |  |   t | | t | |  |   t t d  t | |  |  |  |  S(   Nic	  i   (   R  RÀ  Rò  Rá  Ró  R   Rà  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2403G  s    c	   	         s     j  d  t | | | t | | |  |  | | t | | |  | t | | |  | | t d  |  t d  |  S(   Nid	  i   i   (   R  R€  Rò  Ró  Rà  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2404L  s    c	   	         s     j  d  t | | | t | | |  |  | | t | | |  | t | | |  | | t d  |  t d  |  S(   Nie	  i   i   (   R  R€  Ró  Rò  Rà  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2405Q  s    c	   	   
      s    j  d  t |  | t d  | t d  |  t d  t | | t | | |  |  t d  | | t | | |  | |  |  t | | | t | | |  |  | | t | | |  | t | | |  | | t d  |  t d  |  S(   Nif	  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2406V  s    c	   	   
      s    j  d  t |  | t d  | t d  |  t d  t | | t | | |  |  t d  | | t | | |  | |  |  t | | | t | | |  |  | | t | | |  | t | | |  | | t d  |  t d  |  S(   Nig	  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2407[  s    c	   	   
      s    j  d  t |  | t d  | t d  |  t d  t | | t | | |  |  t d  | | t | | |  | |  |  t | | | t | | |  |  | | t | | |  | t | | |  | | t d  |  t d  |  S(   Nih	  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2408`  s    c	   	   
      s    j  d  t |  | t d  | t d  |  t d  t | | t | | |  |  t d  | | t | | |  | |  |  t | | | t | | |  |  | | t | | |  | t | | |  | | t d  |  t d  |  S(   Nii	  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2409e  s    c	   	   	      sì     j  d  t | t |   | t |   | | t | | |  t |   | | t | | |  t |   t | | |  t d  t |   t | | t | | |  |  | t | | |  t d  |  |  |  S(   Nij	  i   (   R  RÀ  R$   Rò  R%   Ró  Rà  R   (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2410j  s    c	   	   	      sì     j  d  t | t |   | t |   | | t | | |  t |   | | t | | |  t |   t | | |  t d  t |   t | | t | | |  |  | t | | |  t d  |  |  |  S(   Nik	  i   (   R  RÀ  R$   Ró  R%   Rò  Rà  R   (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2411o  s    c      
      sÃ     j  d  t t d  | t t | t d  | | t d  | | | | t | |  |  |  | | t | |  |  |  |  t | t d  t | |  |  | |  |  S(   Nil	  i   i   (   R  RÀ  Rà  R   R€  Rò  Ró  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2412t  s    c      
      sÃ     j  d  t t d  | t t | t d  | | t d  | | | | t | |  |  |  | | t | |  |  |  |  t | t d  t | |  |  | |  |  S(   Nim	  i   i   (   R  RÀ  Rà  R   R€  Ró  Rò  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2413y  s    c            s¡     j  d  t | | | | | t t d  | | t | |  |  |  |  t | | | | | t t d  | | t | |  |  |  |  S(   Nin	  i   (   R  RÀ  R   Rà  Rò  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2414~  s    c            s¡     j  d  t | | | | | t t d  | | t | |  |  |  |  t | | | | | t t d  | | t | |  |  |  |  S(   Nio	  i   (   R  RÀ  R   Rà  Ró  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2415  s    c      	      sy     j  d  t | t | t | | |  |  |  |  t | | t | t | | |  |  t d  |  |  S(   Nip	  i   (   R  RÀ  R   Rò  Rà  (   R¢  R   R£  RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2416  s    c      	      sy     j  d  t | t | t | | |  |  |  |  t | | t | t | | |  |  t d  |  |  S(   Niq	  i   (   R  RÀ  R   Ró  Rà  (   R¢  R   R£  RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2417  s    c            s]     j  d  t | | | t | | |  |  t | | |  | |  t d  |  S(   Nir	  i   (   R  R€  Rò  Ró  Rà  (   R¢  R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2418  s    c            s\     j  d  t | | | t | | |  |  t | | |  | |  t d  |  S(   Nis	  i   (   R  R€  Ró  Rò  Rà  (   R¢  R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2419  s    c      	      sò     j  d  t | | |  | | |  t d  | | t d  |  t d  t | | t | | |  |  t d  |  |  t | | t | | |  |  | | | | t | | |  | | t d  |  t d  |  S(   Nit	  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2420  s    c      	      sò     j  d  t | | |  | | |  t d  | | t d  |  t d  t | | t | | |  |  t d  |  |  t | | t | | |  |  | | | | t | | |  | | t d  |  t d  |  S(   Niu	  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2421¡  s    c      	      s¿     j  d  t | | |  | | |  t d  | |  t d  t | | t | | |  |  |  |  t | | | t | | |  |  t | | |  | |  t d  |  S(   Niv	  i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2422Š  s    c      	      s¿     j  d  t | | |  | | |  t d  | |  t d  t | | t | | |  |  |  |  t | | | t | | |  |  t | | |  | |  t d  |  S(   Niw	  i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2423«  s    c            s     j  d  t | | t t | | t | |  |   |  |  t | | | | | t t d  t | | t | |  |   |  |  S(   Nix	  i   (   R  RÀ  R   Rá  Rò  Rà  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2424°  s    c            s     j  d  t | | t t | | t | |  |   |  |  t | | | | | t t d  t | | t | |  |   |  |  S(   Niy	  i   (   R  RÀ  R   Rá  Ró  Rà  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2425µ  s    c            s    j  d  t t d  |  t d  t | | t | | |  |  t d  t | | |  t d  | | |  | | |  | | |  t d  t | | |  |  |  |  t | | | t | | |  |  t | | |  | |  t d  |  S(   Niz	  i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2426º  s    c            s    j  d  t t d  |  t d  t | | t | | |  |  t d  t | | |  t d  | | |  | | |  | | |  t d  t | | |  |  |  |  t | | | t | | |  |  t | | |  | |  t d  |  S(   Ni{	  i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2427¿  s    c            sT    j  d  t t d  | t d  | t d  |  t d  t | | t | | |  |  t d  t |  t d  | | | | |  t d  | | | | t | | |  |  |  |  t | | t | | |  |  t d  | | | | t | | |  | | t d  | t d  |  t d  |  S(   Ni|	  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2428Ä  s    c            sT    j  d  t t d  | t d  | t d  |  t d  t | | t | | |  |  t d  t |  t d  | | | | |  t d  | | | | t | | |  |  |  |  t | | t | | |  |  t d  | | | | t | | |  | | t d  | t d  |  t d  |  S(   Ni}	  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2429É  s    c      	      sß     j  d  t | t | | |  | t t | | |  t d   t t | | |  t d   t t t t d  | | |  | | | |  t t d  | | |  |  | t | | |   |  S(   Ni~	  i   (   R  RÀ  Ró  Rá  Rò  Rà  R*   R   (   R¢  R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2430Î  s    c      	      sà     j  d  t | t | | |  | t t | | |  t d   t t | | |  t d   t t t t d  | | |  | | | |  t t d  | | |  |  | t | | |   |  S(   Ni	  i   (   R  RÀ  Rò  Rá  Ró  Rà  R*   R   (   R¢  R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2431Ó  s    c      
      s     j  d  t | | t | | t | | |  |  t d  |  |  t | | | | | t | | t | | |  |  |  |  S(   Ni	  i   (   R  RÀ  R   Rò  Rà  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2432Ø  s    c      
      s     j  d  t | | t | | t | | |  |  t d  |  |  t | | | | | t | | t | | |  |  |  |  S(   Ni	  i   (   R  RÀ  R   Ró  Rà  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2433Ý  s    c      	      sW     j  d  t t | t | | |  | | | t | | |  |  |  |  S(   Ni	  (   R  R   RH  Rò  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2434â  s    c      	      sW     j  d  t t | t | | |  | | | t | | |  |  |  |  S(   Ni	  (   R  R   RH  Ró  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2435ç  s    c      
      s
    j  d  t t d  | t d  t d  |  t d  t | | t | | |  |  t d  | |  | t d  |  t d  t | | |  |  |  t | | | t | | |  |  t | | |  | | t d  |  t d  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2436ì  s    c      
      s
    j  d  t t d  | t d  t d  |  t d  t | | t | | |  |  t d  | |  | t d  |  t d  t | | |  |  |  t | | | t | | |  |  t | | |  | | t d  |  t d  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2437ñ  s    c      	      sÚ     j  d  t t d  | |  t d  t | | t | | |  |  | t | | |  | |  t d  |  |  t | | t | | |  |  t d  t | | |  | | |  t d  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2438ö  s    c      	      sÚ     j  d  t t d  | |  t d  t | | t | | |  |  | t | | |  | |  t d  |  |  t | | t | | |  |  t d  t | | |  | | |  t d  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2439û  s    c            s    j  d  t t d  | | t d  |  t d  t | | t | | |  |  t d  t | | | |  t d  | | t d  |  t d  | t d  | | | |  t d  | | |  t d  t | | |  |  |  |  t | | t | | |  |  | | t | | |  | | | | t | | |  | | t d  |  t d  |  S(   Ni	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2440   s    c            s    j  d  t t d  | | t d  |  t d  t | | t | | |  |  t d  t | | | |  t d  | | t d  |  t d  | t d  | | | |  t d  | | |  t d  t | | |  |  |  |  t | | t | | |  |  | | t | | |  | | | | t | | |  | | t d  |  t d  |  S(   Ni	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2441  s    c            sB    j  d  t t d  | |  t d  t | | t | | |  |  t | | t d  |  t d  | t d  |  t d  | | | t d  | | |  t d  t | | |  |  |  |  t | t d  | | t | | |  |  t d  t | | |  | | |  t d  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2442
  s    c            sB    j  d  t t d  | |  t d  t | | t | | |  |  t | | t d  |  t d  | t d  |  t d  | | | t d  | | |  t d  t | | |  |  |  |  t | t d  | | t | | |  |  t d  t | | |  | | |  t d  |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2443  s    c	   	         sÞ    j  d  t | t d  | | t d  | | | | t | | t | | |  |  t d  | | t | | |  | t d  t | | |  t d  | | |  t d  | t d  | | |  t d  | t d  | | |  t d  t | | |  |  |  |  t | t d  | | t | | |  |  t d  | | t | | |  | t d  | | | | t | | |  | | | t d  | | | | |  S(   Ni	  i   i   iþÿÿÿiüÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2444  s    c	   	         sÞ    j  d  t | t d  | | t d  | | | | t | | t | | |  |  t d  | | t | | |  | t d  t | | |  t d  | | |  t d  | t d  | | |  t d  | t d  | | |  t d  t | | |  |  |  |  t | t d  | | t | | |  |  t d  | | t | | |  | t d  | | | | t | | |  | | | t d  | | | | |  S(   Ni	  i   i   iþÿÿÿiüÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2445  s    c	   	         s»    j  d  t t d  | |  | t | | t | | |  |  t d  | | t | | |  | t | t d  | |  | | | | |  t d  | t d  | | t d  | | | t d  |  t d  | t d  | | |  t d  t | | |  |  |  |  t | t d  | | t | | |  |  t d  | | t | | |  | t d  t | | |  | | |  | |  S(   Ni	  i   iþÿÿÿi   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2446  s    c	   	         s»    j  d  t t d  | |  | t | | t | | |  |  t d  | | t | | |  | t | t d  | |  | | | | |  t d  | t d  | | t d  | | | t d  |  t d  | t d  | | |  t d  t | | |  |  |  |  t | t d  | | t | | |  |  t d  | | t | | |  | t d  t | | |  | | |  | |  S(   Ni	  i   iþÿÿÿi   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2447#  s    c	   	         sk    j  d  t t d  | | t d  |  t d  t | | t | | |  |  t d  | | t | | |  | t d  t | | | | | |  t d  | | |  | t d  t | | |  |  |  |  t | | | t | | |  |  | | t | | |  | t | | |  | | t d  |  t d  |  S(   Ni	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2448(  s    c	   	         sk    j  d  t t d  | | t d  |  t d  t | | t | | |  |  t d  | | t | | |  | t d  t | | | | | |  t d  | | |  | t d  t | | |  |  |  |  t | | | t | | |  |  | | t | | |  | t | | |  | | t d  |  t d  |  S(   Ni	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2449-  s    c	   	         sÍ    j  d  t t d  | | t d  |  t d  t | | t | | |  |  t d  | | t | | |  | t d  t | | | |  | t d  | | t d  |  t d  | t d  | t d  | | | |  | t d  | | |  | t | | |  |  |  |  t | | t | | |  |  | | t | | |  | t d  | | | | t | | |  | | t d  |  t d  |  S(   Ni	  i   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement24502  s    c	   	         sÍ    j  d  t t d  | | t d  |  t d  t | | t | | |  |  t d  | | t | | |  | t d  t | | | |  | t d  | | t d  |  t d  | t d  | t d  | | | |  | t d  | | |  | t | | |  |  |  |  t | | t | | |  |  | | t | | |  | t d  | | | | t | | |  | | t d  |  t d  |  S(   Ni	  i   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement24517  s    c	   	         s«    j  d  t t d  | t d  |  t d  | | | | t | | t | | |  |  t d  | | t | | |  | t | | t d  |  | t d  | | |  t d  | | |  | t d  t | | |  |  |  |  t | t d  | | t | | |  |  | | t | | |  | t d  t | | |  | | t d  |  t d  | | | | |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2452<  s    c	   	         s«    j  d  t t d  | t d  |  t d  | | | | t | | t | | |  |  t d  | | t | | |  | t | | t d  |  | t d  | | |  t d  | | |  | t d  t | | |  |  |  |  t | t d  | | t | | |  |  | | t | | |  | t d  t | | |  | | t d  |  t d  | | | | |  S(   Ni	  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2453A  s    c            s*    j  d  t | | | t | | t | |  |  | t d  t | | | | | | t d  | | | | | | t d  t | |  |  |  |  |  t | | t | |  |  | t d  | | | | t | |  |  | |  | | t | |  |  |  S(   Ni	  iþÿÿÿiÿÿÿÿ(   R  RÀ  R   Rò  Rà  R€  Ró  (   R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2454F  s    c            s*    j  d  t | | | t | | t | |  |  | t d  t | | | | | | t d  | | | | | | t d  t | |  |  |  |  |  t | | t | |  |  | t d  | | | | t | |  |  | |  | | t | |  |  |  S(   Ni	  iþÿÿÿiÿÿÿÿ(   R  RÀ  R   Ró  Rà  R€  Rò  (   R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2455K  s    c      
      s    j  d  t | | | | | | t | | t | |  |  | | | | | t d  t | |  |  |  |  t | t d  | | t | |  |  | t d  t | |  |  | |  | | t | |  |  | | | | |  S(   Ni	  i   i   (   R  RÀ  R   Rò  Rà  R€  Ró  (   R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2456P  s    c      
      s    j  d  t | | | | | | t | | t | |  |  | | | | | t d  t | |  |  |  |  t | t d  | | t | |  |  | t d  t | |  |  | |  | | t | |  |  | | | | |  S(   Ni	  i   i   (   R  RÀ  R   Ró  Rà  R€  Rò  (   R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2457U  s    c      
      sÏ     j  d  t | | | | t | | t | |  |  | | t | |  |  | t d  |  |  t | | | t | |  |  | t | |  |  | |  | | t | |  |  |  S(   Ni	  iÿÿÿÿ(   R  RÀ  R   Rò  Rà  R€  Ró  (   R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2458Z  s    c      
      sÏ     j  d  t | | | | t | | t | |  |  | | t | |  |  | t d  |  |  t | | | t | |  |  | t | |  |  | |  | | t | |  |  |  S(   Ni	  iÿÿÿÿ(   R  RÀ  R   Ró  Rà  R€  Rò  (   R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2459_  s    c            s$    j  d  t t d  | | | | | | t d  | t d  t t | | t | |  |   | | t | |  |  | t d  |  |  t t d  | | | t | |  |  | t | |  |  |  t | | t | |  |   t d  | t d  |  S(   Ni	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rá  Rò  R€  Ró  (   R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2460d  s    c            s#    j  d  t t d  | | | | | | t d  | t d  t t | | t | |  |   | | t | |  |  | t d  |  |  t t d  | | | t | |  |  | t | |  |  |  t | | t | |  |   t d  | t d  |  S(   Ni	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rá  Ró  R€  Rò  (   R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2461i  s    c      
      s     j  d  t t d  | t d  t | |  |  |  t | | t | |  |   t | | t | |  |   | | | | |  S(   Ni	  i   (   R  R€  Rà  Ró  Rá  Rò  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2462n  s    c      
      s     j  d  t t d  | t d  t | |  |  |  t | | t | |  |   t | | t | |  |   | | | | |  S(   Ni	  i   (   R  R€  Rà  Rò  Rá  Ró  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2463s  s    c            si    j  d  t t d  | t d  | | | | t d  | | t d  | t d  | t d  t t | | t | |  |   | | t | |  |  | t d  |  |  t | | t | |  |  | t d  | | | | t | |  |  |  t | | t | |  |   | t d  | t d  | t d  |  S(   Ni 	  i   i   i   (   R  RÀ  Rà  R   Rá  Rò  R€  Ró  (   R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2464x  s    c            si    j  d  t t d  | t d  | | | | t d  | | t d  | t d  | t d  t t | | t | |  |   | | t | |  |  | t d  |  |  t | | t | |  |  | t d  | | | | t | |  |  |  t | | t | |  |   | t d  | t d  | t d  |  S(   Ni¡	  i   i   i   (   R  RÀ  Rà  R   Rá  Ró  R€  Rò  (   R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2465}  s    c            s     j  d  t t d  | |  t t t d  | | | | | | t d  |  | | t | |  |  t | | t | |  |    |  S(   Ni¢	  i   i   (   R  RÀ  Rà  R*   R   Ró  Rá  Rò  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2466  s    c            s     j  d  t t d  | |  t t t d  | | | | | | t d  |  | | t | |  |  t | | t | |  |    |  S(   Ni£	  i   i   (   R  RÀ  Rà  R*   R   Rò  Rá  Ró  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2467  s    c            s     j  d  t t d  |  t t t d  t t d  | t d  |  |  | | t | |  |  t | | t | |  |    |  S(   Ni€	  i   i   (   R  RÀ  Rà  R*   R   Rá  Ró  Rò  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2468  s    c            s     j  d  t t d  |  t t t d  t t d  | t d  |  |  | | t | |  |  t | | t | |  |    |  S(   Ni¥	  i   i   (   R  RÀ  Rà  R*   R   Rá  Rò  Ró  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2469  s    c            s¯     j  d  t t d  | |  t t t d  | | | t d  |  | | t | |  |  t | | t | |  |   t | | t | |  |    |  S(   NiŠ	  i   i   (   R  RÀ  Rà  R*   R   Ró  Rá  Rò  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2470  s    c            s®     j  d  t t d  | |  t t t d  | | | t d  |  | | t | |  |  t | | t | |  |   t | | t | |  |    |  S(   Ni§	  i   i   (   R  RÀ  Rà  R*   R   Rò  Rá  Ró  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2471  s    c      
      sŸ     j  d  t | t d  t | |  |  |  t | | t | |  |   t | | t | |  |   t t | | | | t | | |  |  | t | |  |   |  S(   Niš	  i   (   R  RÀ  Rà  Ró  Rá  Rò  R*   R   (   R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2472   s    c      
      s¿     j  d  t | t d  t | |  |  |  t | | t | |  |   t | | t | |  |   t t | | | | t | | |  |  | t | |  |   |  S(   Ni©	  i   (   R  RÀ  Rà  Rò  Rá  Ró  R*   R   (   R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2473¥  s    c            sÖ     j  d  t | | t t | | t | |  |   t | | t | |  |   |  |  t | | | | | t t d  t | | t | |  |   t | | t | |  |   |  |  S(   Niª	  i   (   R  RÀ  R   Rá  Rò  Rà  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2474ª  s    c            sÖ     j  d  t | | t t | | t | |  |   t | | t | |  |   |  |  t | | | | | t t d  t | | t | |  |   t | | t | |  |   |  |  S(   Ni«	  i   (   R  RÀ  R   Rá  Ró  Rà  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2475¯  s    c            sŸ    j  d  t t d  | t d  | t d  t | | t | |  |  | t d  t | | | | | t d  t d  | t d  t d  | t d  | t d  | | | | | t d  | t d  t | |  |  |  t | | t | |  |   |  |  t t d  | | | t | |  |  | t d  t | |  |  |  t | | t | |  |   t d  | t d  |  S(   Ni¬	  i   i   iÿÿÿÿiþÿÿÿi   iýÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Rá  Ró  (   R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2476Ž  s    c            sœ    j  d  t t d  | t d  | t d  t | | t | |  |  | t d  t | | | | | t d  t d  | t d  t d  | t d  | t d  | | | | | t d  | t d  t | |  |  |  t | | t | |  |   |  |  t t d  | | | t | |  |  | t d  t | |  |  |  t | | t | |  |   t d  | t d  |  S(   Ni­	  i   i   iÿÿÿÿiþÿÿÿi   iýÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rá  Rò  (   R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2477¹  s    c            s¡    j  d  t t d  t d  | | t d  | t d  | t d  t | | t | |  |  | t d  t | | t d  | | | t d  | | t d  | t d  t | |  |  |  t | | t | |  |   |  |  t | | | t | |  |  | t d  t | |  |  |  t | | t | |  |   | t d  | t d  | t d  |  S(   Ni®	  i   i   i   (   R  RÀ  Rà  R   Rò  R€  Rá  Ró  (   R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2478Ÿ  s    c            s¡    j  d  t t d  t d  | | t d  | t d  | t d  t | | t | |  |  | t d  t | | t d  | | | t d  | | t d  | t d  t | |  |  |  t | | t | |  |   |  |  t | | | t | |  |  | t d  t | |  |  |  t | | t | |  |   | t d  | t d  | t d  |  S(   Ni¯	  i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rá  Rò  (   R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2479Ã  s    c            sœ     j  d  t | | | | | t t d  t | | t | |  |   |  |  t | | | | | t t | | t | |  |   | | t | |  |  |  |  S(   Ni°	  i   (   R  RÀ  R   Rà  Rá  Rò  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2480È  s    c            sœ     j  d  t | | | | | t t d  t | | t | |  |   |  |  t | | | | | t t | | t | |  |   | | t | |  |  |  |  S(   Ni±	  i   (   R  RÀ  R   Rà  Rá  Ró  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2481Í  s    c            s     j  d  t t t d   t |  |  t t t d  t | t d  t d   |  | | t | |  |  | | t | |  |   |  S(   Ni²	  i   i   (   R  RÀ  Rá  Rà  R*   R   Ró  Rò  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2482Ò  s    c            s     j  d  t t t d   t |  |  t t t d  t | t d  t d   |  | | t | |  |  | | t | |  |   |  S(   Ni³	  i   i   (   R  RÀ  Rá  Rà  R*   R   Rò  Ró  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2483×  s    c            sÏ     j  d  t t d  | |  t t t d  t d  | t d  | t d  | | | | |  | | t | |  |  t | | t | |  |   t | | t | |  |    |  S(   NiŽ	  i   i   (   R  RÀ  Rà  R*   R   Ró  Rá  Rò  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2484Ü  s    c            sÎ     j  d  t t d  | |  t t t d  t d  | t d  | t d  | | | | |  | | t | |  |  t | | t | |  |   t | | t | |  |    |  S(   Niµ	  i   i   (   R  RÀ  Rà  R*   R   Rò  Rá  Ró  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2485á  s    c	   	         sz    j  d  t t d  | |  | t | | t | | |  |  | | t | | |  | t d  t | | t d  |  | | | | |  | | | t d  | | | |  | | |  t d  | t d  t | | |  |  |  |  t | | | t | | |  |  | | t | | |  | t d  t | | |  | |  | |  S(   Ni¶	  i   iþÿÿÿi   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2486æ  s    c	   	         sz    j  d  t t d  | |  | t | | t | | |  |  | | t | | |  | t d  t | | t d  |  | | | | |  | | | t d  | | | |  | | |  t d  | t d  t | | |  |  |  |  t | | | t | | |  |  | | t | | |  | t d  t | | |  | |  | |  S(   Ni·	  i   iþÿÿÿi   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2487ë  s    c	   	   	      sï     j  d  t | |  t | | |  | t t | | |  t d   t t | | |  t d   t t t d  | | | |  t d  d | | | | t t d  | | |  |  | t | | |   |  S(   Niž	  i   iÿÿÿÿi   (   R  RÀ  Ró  Rá  Rò  Rà  R*   R   (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2488ð  s    c	   	   	      sð     j  d  t | |  t | | |  | t t | | |  t d   t t | | |  t d   t t t d  | | | |  t d  d | | | | t t d  | | |  |  | t | | |   |  S(   Ni¹	  i   iÿÿÿÿi   (   R  RÀ  Rò  Rá  Ró  Rà  R*   R   (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2489õ  s    c            sá     j  d  t | | | | t | | |  | t | | t | | |   t | | t | | |   t t | | | t d  | | |  t d  d t |  |  | | | t | | |   |  S(   Niº	  i   iÿÿÿÿ(   R  RÀ  Ró  Rá  Rò  R*   R   Rà  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2490ú  s    c            sà     j  d  t | | | | t | | |  | t | | t | | |   t | | t | | |   t t | | | t d  | | |  t d  d t |  |  | | | t | | |   |  S(   Ni»	  i   iÿÿÿÿ(   R  RÀ  Rò  Rá  Ró  R*   R   Rà  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2491ÿ  s    c      
      s©     j  d  t | | t |  | t | | |  t |  | t | | |  t |  t | t | | |  | | | t | | |  |  |  |  S(   NiŒ	  (   R  RÀ  R$   Rò  R%   R   (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2492  s    c      
      s©     j  d  t | | t |  | t | | |  t |  | t | | |  t |  t | t | | |  | | | t | | |  |  |  |  S(   Niœ	  (   R  RÀ  R$   Ró  R%   R   (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2493	  s    c      
      sÁ     j  d  t | t |   t d  | t | | |  | t |   | | t | | |  t |   t | t | | |  | t d  | t | | |  | |  |  |  S(   NiŸ	  i   (   R  RÀ  R$   Rà  Rò  R%   R   (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2494  s    c      
      sÁ     j  d  t | t |   t d  | t | | |  | t |   | | t | | |  t |   t | t | | |  | t d  | t | | |  | |  |  |  S(   Ni¿	  i   (   R  RÀ  R$   Rà  Ró  R%   R   (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2495  s    c	   	   
      sÜ     j  d  t | t d  t | | |  | t | | t | | |   t | | t | | |   t t | | | |  t d  d | | | | t | | |  |  | t | | |   |  S(   NiÀ	  i   iÿÿÿÿ(   R  RÀ  Rà  Ró  Rá  Rò  R*   R   (	   R¢  R   R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2496  s    c	   	   
      sÝ     j  d  t | t d  t | | |  | t | | t | | |   t | | t | | |   t t | | | |  t d  d | | | | t | | |  |  | t | | |   |  S(   NiÁ	  i   iÿÿÿÿ(   R  RÀ  Rà  Rò  Rá  Ró  R*   R   (	   R¢  R   R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2497  s    c      	      s³     j  d  t t d  | | | t | t | | |  |  t d  |  |  t | t | | |  |  | t d  | t d  t | | |  t d  |  S(   NiÂ	  i   i   (   R  RÀ  Rà  R   Rò  (   R¢  R   R£  RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2498"  s    c      	      s³     j  d  t t d  | | | t | t | | |  |  t d  |  |  t | t | | |  |  | t d  | t d  t | | |  t d  |  S(   NiÃ	  i   i   (   R  RÀ  Rà  R   Ró  (   R¢  R   R£  RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2499'  s    c            s4    j  d  t t d  | | t d  | t d  |  t d  t | | t | | |  |  t d  t | |  t d  | | t d  | t d  t d  | | | | t d  | t d  t d  | | | | |  t d  | t d  | t d  |  t d  | t d  |  t d  t | | |  |  |  |  t | | t | | |  |  t d  | t d  | t d  t d  | | | | | t d  | t d  t | | |  | | | t d  | t d  |  t d  |  S(   NiÄ	  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2500,  s    c            s4    j  d  t t d  | | t d  | t d  |  t d  t | | t | | |  |  t d  t | |  t d  | | t d  | t d  t d  | | | | t d  | t d  t d  | | | | |  t d  | t d  | t d  |  t d  | t d  |  t d  t | | |  |  |  |  t | | t | | |  |  t d  | t d  | t d  t d  | | | | | t d  | t d  t | | |  | | | t d  | t d  |  t d  |  S(   NiÅ	  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement25011  s    c            sB    j  d  t t d  | |  t d  t | | t | | |  |  t | | t d  |  t d  | t d  |  t d  | | | t d  | | |  t d  t | | |  |  |  |  t | t d  | | t | | |  |  t d  t | | |  | | |  t d  |  S(   NiÆ	  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement25026  s    c            sB    j  d  t t d  | |  t d  t | | t | | |  |  t | | t d  |  t d  | t d  |  t d  | | | t d  | | |  t d  t | | |  |  |  |  t | t d  | | t | | |  |  t d  t | | |  | | |  t d  |  S(   NiÇ	  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2503;  s    c	   	         sk    j  d  t t d  | | t d  | t d  | t d  t | | t | | |  |  t d  | | t | | |  | t d  t | | | t d  t d  | | | | | t d  | t d  | |  t d  | | | | t d  | | t d  | t d  | t d  | | t d  | | | | | t d  | t d  |  | | | | t d  t | | |  t d  | | t d  | | | | t d  | | t d  | | | t d  t d  | | | t d  | | | t d  | t d  t | | |  |  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | t d  | t d  t d  | | | | | t d  | t d  t | | |  | | | t d  | t d  | t d  |  S(   NiÈ	  i   i   iýÿÿÿiþÿÿÿi   (   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2504@  s    c	   	         sk    j  d  t t d  | | t d  | t d  | t d  t | | t | | |  |  t d  | | t | | |  | t d  t | | | t d  t d  | | | | | t d  | t d  | |  t d  | | | | t d  | | t d  | t d  | t d  | | t d  | | | | | t d  | t d  |  | | | | t d  t | | |  t d  | | t d  | | | | t d  | | t d  | | | t d  t d  | | | t d  | | | t d  | t d  t | | |  |  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | t d  | t d  t d  | | | | | t d  | t d  t | | |  | | | t d  | t d  | t d  |  S(   NiÉ	  i   i   iýÿÿÿiþÿÿÿi   (   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2505E  s    c	   	         s:    j  d  t t d  | |  | t | | t | | |  |  t d  | | t | | |  | t | t d  | |  | | t d  | | | t d  | | |  t d  | t d  | | t d  |  t d  | t d  | | |  t d  t | | |  t d  | t d  | t d  | |  | | | | | t d  | |  | t d  t | | |  |  |  |  t | t d  | | t | | |  |  t d  | | t | | |  | t d  t | | |  | | |  | |  S(   NiÊ	  i   iýÿÿÿi   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2506J  s    c	   	         s:    j  d  t t d  | |  | t | | t | | |  |  t d  | | t | | |  | t | t d  | |  | | t d  | | | t d  | | |  t d  | t d  | | t d  |  t d  | t d  | | |  t d  t | | |  t d  | t d  | t d  | |  | | | | | t d  | |  | t d  t | | |  |  |  |  t | t d  | | t | | |  |  t d  | | t | | |  | t d  t | | |  | | |  | |  S(   NiË	  i   iýÿÿÿi   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2507O  s    c            s    j  d  t | t d  | t d  | t d  t t | | t | |  |   | t | |  |  t d  d |  |  t t d  | | t | |  |  |  t | t | |  |   t | | t | |  |   | t d  | t d  |  S(   NiÌ	  i   i   (   R  RÀ  Rà  R   Rá  Rò  R€  Ró  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2508T  s    c            s    j  d  t | t d  | t d  | t d  t t | | t | |  |   | t | |  |  t d  d |  |  t t d  | | t | |  |  |  t | t | |  |   t | | t | |  |   | t d  | t d  |  S(   NiÍ	  i   i   (   R  RÀ  Rà  R   Rá  Ró  R€  Rò  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2509Y  s    c            s    j  d  t | | | | t t d  t | | t | |  |   t | | t | |  |   |  |  t | | | | | | t t | |  |  t d  | | t | |  |  t d  d t | | t | |  |   |  |  S(   NiÎ	  i   i   i   (   R  RÀ  R   Rà  Rá  Rò  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2510^  s    c            s    j  d  t | | | | t t d  t | | t | |  |   t | | t | |  |   |  |  t | | | | | | t t | |  |  t d  | | t | |  |  t d  d t | | t | |  |   |  |  S(   NiÏ	  i   i   i   (   R  RÀ  R   Rà  Rá  Ró  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2511c  s    c	   	         sÔ    j  d  t t d  | t d  | t d  |  t d  t | | t | | |  |  t d  | | t | | |  | t d  t | | |  t d  | | | | | |  | t d  t | | |  t d  | | |  t d  | | |  t d  t | | |  |  |  |  t | | | t | | |  |  t d  | | t | | |  | t | | |  | | t d  | t d  |  t d  |  S(   NiÐ	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2512h  s    c	   	         sÔ    j  d  t t d  | t d  | t d  |  t d  t | | t | | |  |  t d  | | t | | |  | t d  t | | |  t d  | | | | | |  | t d  t | | |  t d  | | |  t d  | | |  t d  t | | |  |  |  |  t | | | t | | |  |  t d  | | t | | |  | t | | |  | | t d  | t d  |  t d  |  S(   NiÑ	  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2513m  s    c            sÃ     j  d  t | | t t | t | |  |   t | | t | |  |   |  |  t | | | t t | t | |  |   | | t | |  |  t d  d |  |  S(   NiÒ	  i   i   (   R  RÀ  R   Rá  Rò  Rà  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2514r  s    c            sÃ     j  d  t | | t t | t | |  |   t | | t | |  |   |  |  t | | | t t | t | |  |   | | t | |  |  t d  d |  |  S(   NiÓ	  i   i   (   R  RÀ  R   Rá  Ró  Rà  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2515w  s    c            s/    j  d  t | t d  | t d  t t | | t | |  |   t | | t | |  |   |  |  t | | | | | t d  t t | | | | t d  | | t | |  |  |  | | t | |  |  t d  d t | | t | |  |   |  |  S(   NiÔ	  i   i   (   R  RÀ  Rà  R   Rá  Rò  R€  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2516|  s    c            s/    j  d  t | t d  | t d  t t | | t | |  |   t | | t | |  |   |  |  t | | | | | t d  t t | | | | t d  | | t | |  |  |  | | t | |  |  t d  d t | | t | |  |   |  |  S(   NiÕ	  i   i   (   R  RÀ  Rà  R   Rá  Ró  R€  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2517  s    c	   	         s5    j  d  t t d  | t d  | t d  |  t d  t | | t | | |  |  t d  | | t | | |  | t d  t | |  t d  | | | | | | t d  | | | | | | | | | |  | t d  t | | |  t d  | |  t d  | | | | | |  t d  | | | | t | | |  |  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | | t | | |  | | t d  | t d  |  t d  |  S(   NiÖ	  i   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2518  s    c	   	         s5    j  d  t t d  | t d  | t d  |  t d  t | | t | | |  |  t d  | | t | | |  | t d  t | |  t d  | | | | | | t d  | | | | | | | | | |  | t d  t | | |  t d  | |  t d  | | | | | |  t d  | | | | t | | |  |  |  |  t | | t | | |  |  t d  | | t | | |  | t d  | | | | t | | |  | | t d  | t d  |  t d  |  S(   Ni×	  i   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2519  s    c            s!    j  d  t | | t d  | t d  t | t | |  |  | | t | |  |  t d  d t | | t | |  |   |  |  t t d  | t | |  |  |  t | t | |  |   t | | t | |  |   | t d  | t d  |  S(   NiØ	  i   i   (   R  RÀ  Rà  R   Rò  Rá  R€  Ró  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2520  s    c            s"    j  d  t | | t d  | t d  t | t | |  |  | | t | |  |  t d  d t | | t | |  |   |  |  t t d  | t | |  |  |  t | t | |  |   t | | t | |  |   | t d  | t d  |  S(   NiÙ	  i   i   (   R  RÀ  Rà  R   Ró  Rá  R€  Rò  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2521  s    c            sü     j  d  t | | | t t | |  |  t d  | | t | |  |  t d  d t | | t | |  |   |  |  t t d  | | t t d  t | | t | |  |   t | | t | |  |   |  |  S(   NiÚ	  i   i   i   (   R  RÀ  R   Rò  Rà  Rá  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2522  s    c            sü     j  d  t | | | t t | |  |  t d  | | t | |  |  t d  d t | | t | |  |   |  |  t t d  | | t t d  t | | t | |  |   t | | t | |  |   |  |  S(   NiÛ	  i   i   i   (   R  RÀ  R   Ró  Rà  Rá  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2523  s    c	   	         s8    j  d  t t d  | t d  | t d  |  t d  | | | | t | | t | | |  |  t d  | | t | | |  | t | |  t d  | | | | | t d  | |  | t d  | t d  | |  | t d  t | | |  t d  | t d  | | |  t d  | | | | t | | |  |  |  |  t | t d  | | t | | |  |  t d  | | t | | |  | t d  t | | |  | | t d  | t d  |  t d  | | | | |  S(   NiÜ	  i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2524€  s    c	   	         s8    j  d  t t d  | t d  | t d  |  t d  | | | | t | | t | | |  |  t d  | | t | | |  | t | |  t d  | | | | | t d  | |  | t d  | t d  | |  | t d  t | | |  t d  | t d  | | |  t d  | | | | t | | |  |  |  |  t | t d  | | t | | |  |  t d  | | t | | |  | t d  t | | |  | | t d  | t d  |  t d  | | | | |  S(   NiÝ	  i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2525©  s    c            sº     j  d  t | | t t d  t | | t | |  |   |  |  t | | | | | t t d  | | t | |  |  t | | t | |  |   |  |  S(   NiÞ	  i   (   R  RÀ  R   Rà  Rá  Rò  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2526®  s    c            sº     j  d  t | | t t d  t | | t | |  |   |  |  t | | | | | t t d  | | t | |  |  t | | t | |  |   |  |  S(   Niß	  i   (   R  RÀ  R   Rà  Rá  Ró  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2527³  s    c            sŠ     j  d  t | | t t | | t | |  |   |  |  t | | | | | t t | | t | |  |   | | t | |  |  |  |  S(   Nià	  (   R  RÀ  R   Rá  Rò  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2528ž  s    c            sŠ     j  d  t | | t t | | t | |  |   |  |  t | | | | | t t | | t | |  |   | | t | |  |  |  |  S(   Niá	  (   R  RÀ  R   Rá  Ró  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2529œ  s    c            s     j  d  t t d  t t d  | | | t t d  | t d  |  | t d  t d  | | |  |  | | t | |  |  S(   Niâ	  i   i   (   R  R€  Rà  R:   RË  Rá  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2530Â  s    c            s     j  d  t t d  t t d  | | | | t d  |  | t d  t d  | | |  |  | | t | |  |  S(   Niã	  i   (   R  R€  Rà  R:   Rá  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2531Ç  s    c            s     j  d  t t d  t t d  | | | t t d  | t d  |  | t d  t d  | | |  |  | | t | |  |  S(   Niä	  i   i   (   R  R€  Rà  R:   RË  Rá  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2532Ì  s    c            s     j  d  t t d  t t d  | | | t t d  | t d  |  | t d  t d  | | |  |  | | t | |  |  S(   Niå	  i   (   R  R€  Rà  R:   RË  Rá  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2533Ñ  s    c            sº     j  d  t t | | t | |  |  | |  t | | t | |  |   t t d  | | t | |  |  t | | | | t | |  |  | |  |  |  S(   Niæ	  i   (   R  RÀ  Rá  Rò  R   Rà  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2534Ö  s    c            sº     j  d  t t | | t | |  |  | |  t | | t | |  |   t t d  | | t | |  |  t | | | | t | |  |  | |  |  |  S(   Niç	  i   (   R  RÀ  Rá  Ró  R   Rà  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2535Û  s    c            sQ    j  d  t t d  | t t d  t d  t | |  |   t t d  t d  t | |  |   t | | | t t | | t | |  |   t | t | |  |   t | | | t d    | | | |  t | | | t d   t | |  |  | |  t | t d  | t d   |  S(   Niè	  i   i   (	   R  R€  Rà  Rá  Rò  R:   R  R  Rô  (   R   R£  RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2536à  s    c            sR    j  d  t t d  | t t d  t d  t | |  |   t t d  t d  t | |  |   t | | | t t | | t | |  |   t | t | |  |   t | | | t d    | | | |  t | | | t d   | |  t | t d  | t d   t | |  |  |  S(   Nié	  i   i   (	   R  R€  Rà  Rá  Ró  R:   R  R  Rô  (   R   R£  RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2537å  s    c            sG    j  d  t t d  | t | t d  t d  t | |  |  | |  t | t d  t d  t | |  |  | |  t | | | t t | | t | |  |   t | t | |  |   t | | | t d    | | | |  t | | | t d   t | |  |  | |  |  S(   Niê	  i   i   (	   R  R€  Rà  Rá  Rò  R:   R  R  Rô  (   R   R£  RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2538ê  s    c            sH    j  d  t t d  | t | t d  t d  t | |  |  | |  t | t d  t d  t | |  |  | |  t | | | t t | | t | |  |   t | t | |  |   t | | | t d    | | | |  t | | | t d   | |  t | |  |  |  S(   Nië	  i   i   (	   R  R€  Rà  Rá  Ró  R:   R  R  Rô  (   R   R£  RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2539ï  s    c            s     j  d  t t | t | |  |   t | t | |  |   t t | t | |  |   t | | t | |  |   |  |  S(   Niì	  (   R  RÀ  Rá  Rò  R   (   R   R£  RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2540ô  s    c            s     j  d  t t | t | |  |   t | t | |  |   t t | t | |  |   t | | t | |  |   |  |  S(   Nií	  (   R  RÀ  Rá  Ró  R   (   R   R£  RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2541ù  s    c            sÀ    j  d  t t d  t | | | | t | |  |  t d  | | t | |  |  | |  t | | | | t | |  |  t d  | | t | |  |  | |  | | t | |  |  t | | | | | | t t | | t | |  |   t | | | | t d   t | | t | |  |    | | | | | | | |  | |  t | | | | t d   t | |  |  |  S(   Niî	  i   i   (	   R  R€  Rà  Rá  Rò  R:   R  R  Ró  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2542þ  s    c            sÁ    j  d  t t d  t | | | | t | |  |  t d  | | t | |  |  | |  t | | | | t | |  |  t d  | | t | |  |  | |  | | t | |  |  t | | | | | | t t | | t | |  |   t | | | | t d   t | | t | |  |    | | | | | | | |  | |  t | | | | t d   t | |  |  |  S(   Niï	  i   i   (	   R  R€  Rà  Rá  Ró  R:   R  R  Rò  (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2543  s    c            s      j  d  t t | | t | |  |   t | | t | |  |   t t | | t | |  |   t | | t | |  |   |  |  S(   Nið	  (   R  RÀ  Rá  Rò  R   (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2544  s    c            s      j  d  t t | | t | |  |   t | | t | |  |   t t | | t | |  |   t | | t | |  |   |  |  S(   Niñ	  (   R  RÀ  Rá  Ró  R   (   R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2545  s    c      
      s     j  d  t t d  | t t t | |  |  | t | |  |  t d   | | | | | |  |  t | | |  |  S(   Niò	  i   i   (   R  R€  Rà  R<   R  Ró  Rò  Rá  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2546  s    c      
      s     j  d  t t d  | t t t | |  |  | t | |  |  t d   | | | | | |  |  t | | |  |  S(   Nió	  i   i   (   R  R€  Rà  R<   R  Rò  Ró  Rá  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2547  s    c            sš     j  d  t t t | |  |  t |   t | t | |  |   t t d  t t | |  |  t |   t | | t | |  |   |  |  S(   Niô	  i   (   R  RÀ  Rá  Rò  Rí  R   Rà  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2548  s    c            sš     j  d  t t t | |  |  t |   t | t | |  |   t t d  t t | |  |  t |   t | | t | |  |   |  |  S(   Niõ	  i   (   R  RÀ  Rá  Ró  Rí  R   Rà  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2549!  s    c            s,    j  d  t t d  t t d  t | |  |  t d   t | t d   t t t | | t | |  |   t | t | |  |   t | | | t d    | | | |  t | | | t d   t | |  |  | |  t | t d  | t d   |  S(   Niö	  i   i   (	   R  R€  Rà  Rá  Rô  R<   R  Rò  R  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2550&  s    c            s!    j  d  t t d  t t | |  |  t d   t | t d   t t t | | t | |  |   t | t | |  |   t | | | t d    | | | |  t | | | t d   | |  t | t d  | t d   t | |  |  |  S(   Ni÷	  i   (	   R  R€  Rà  Rá  Rô  R<   R  Ró  R  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2551+  s    c            s9    j  d  t t d  t | t d  t d  t | |  |  | |  t | t d  t d  t | |  |  | |  t t t | | t | |  |   t | t | |  |   t | | | t d    | | | |  t | | | t d   t | |  |  | |  |  S(   Niø	  i   i   (	   R  R€  Rà  Rá  Rò  R<   R  R  Rô  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement25520  s    c            s8    j  d  t t d  t | t d  t d  t | |  |  | |  t | t d  t d  t | |  |  | |  t t t | | t | |  |   t | t | |  |   t | | | t d    | | | |  t | | | t d   | |  t | |  |  |  S(   Niù	  i   i   (	   R  R€  Rà  Rá  Ró  R<   R  R  Rô  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement25535  s    c            s     j  d  t t | t | |  |   t | t | |  |   t t d  t | t | |  |   t | | t | |  |   |  |  S(   Niú	  i   (   R  RÀ  Rá  Rò  R   Rà  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2554:  s    c            s     j  d  t t | t | |  |   t | t | |  |   t t d  t | t | |  |   t | | t | |  |   |  |  S(   Niû	  i   (   R  RÀ  Rá  Ró  R   Rà  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2555?  s    c            s¶    j  d  t t d  t | | | | t | |  |  t d  | | | | t | |  |   t | | | | t | |  |  t d  | | | | t | |  |   | | t | |  |  t t t | | t | |  |   t | | | | t d   t | | t | |  |    | | | | | | | |  |  | | | | t | | | | t d   t | |  |  |  S(   Niü	  i   i   (	   R  R€  Rà  Rá  Rò  R<   R  R  Ró  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2556D  s    c            s·    j  d  t t d  t | | | | t | |  |  t d  | | | | t | |  |   t | | | | t | |  |  t d  | | | | t | |  |   | | t | |  |  t t t | | t | |  |   t | | | | t d   t | | t | |  |    | | | | | | | |  |  | | | | t | | | | t d   t | |  |  |  S(   Niý	  i   i   (	   R  R€  Rà  Rá  Ró  R<   R  R  Rò  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2557I  s    c            sª     j  d  t t | | t | |  |   t | | t | |  |   t t d  t | | t | |  |   t | | t | |  |   |  |  S(   Niþ	  i   (   R  RÀ  Rá  Rò  R   Rà  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2558N  s    c            sª     j  d  t t | | t | |  |   t | | t | |  |   t t d  t | | t | |  |   t | | t | |  |   |  |  S(   Niÿ	  i   (   R  RÀ  Rá  Ró  R   Rà  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2559S  s    c            só     j  d  t | t d  | t t | t | |  |   | t d  | t | |  |  t | | t | |  |   |  |  t | | t d  | t t | t | |  |   t | | t | |  |   |  |  S(   Ni 
  i   (   R  RÀ  Rà  R   Rá  Rò  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2560X  s    c            só     j  d  t | t d  | t t | t | |  |   | t d  | t | |  |  t | | t | |  |   |  |  t | | t d  | t t | t | |  |   t | | t | |  |   |  |  S(   Ni
  i   (   R  RÀ  Rà  R   Rá  Ró  (   R   R£  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2561]  s    c	   	         s     j  d  t t d  | |  | t | | t | | |  |  t d  | | t | | |  | t d  t | t d  | | |  | | | | | | | | |  t d  | | | | t d  |  | t d  | | | t | | |  t d  | | |  | | | t d  | | | | | | | | |  | t d  t | | |  |  |  |  t | | | t | | |  |  t d  | | t | | |  | t | | |  | |  | |  S(   Ni
  i   iþÿÿÿiÿÿÿÿi   (   R  RÀ  Rà  R   Rò  R€  Ró  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2562b  s    c	   	         s     j  d  t t d  | |  | t | | t | | |  |  t d  | | t | | |  | t d  t | t d  | | |  | | | | | | | | |  t d  | | | | t d  |  | t d  | | | t | | |  t d  | | |  | | | t d  | | | | | | | | |  | t d  t | | |  |  |  |  t | | | t | | |  |  t d  | | t | | |  | t | | |  | |  | |  S(   Ni
  i   iþÿÿÿiÿÿÿÿi   (   R  RÀ  Rà  R   Ró  R€  Rò  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2563g  s    c	   	         sâ     j  d  t | | t | | t | | |  |  t d  | | t | | |  | t d  |  |  t | | | | | t | | t | | |  |  t d  | | t | | |  | |  |  S(   Ni
  iÿÿÿÿi   (   R  RÀ  R   Rò  Rà  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2564l  s    c	   	         sâ     j  d  t | | t | | t | | |  |  t d  | | t | | |  | t d  |  |  t | | | | | t | | t | | |  |  t d  | | t | | |  | |  |  S(   Ni
  iÿÿÿÿi   (   R  RÀ  R   Ró  Rà  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2565q  s    c	   	         sR     j  d  t | | t | | |  |  | | t | | |  | |  S(   Ni
  (   R  R   Rò  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2566v  s    c	   	         sR     j  d  t | | t | | |  |  | | t | | |  | |  S(   Ni
  (   R  R   Ró  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2567{  s    c
   
   
      sµ     j  d  t | t |  | | t |	 | |  |  t |  | t |	 | |  |  t |  t | t |	 | |  | |  | | t |	 | |  | |  |  S(   Ni
  (   R  RÀ  R$   Rò  R%   R   (
   R  R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2568  s    c
   
   
      sµ     j  d  t | t |  | | t |	 | |  |  t |  | t |	 | |  |  t |  t | t |	 | |  | |  | | t |	 | |  | |  |  S(   Ni	
  (   R  RÀ  R$   Ró  R%   R   (
   R  R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2569  s    c	   	         si     j  d  t | | t | | |  |  | t | | |  | | t | | |  | |  S(   Ni

  (   R  R   Rò  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2570  s    c	   	         si     j  d  t | | t | | |  |  | t | | |  | | t | | |  | |  S(   Ni
  (   R  R   Ró  (	   R¢  R   R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2571  s    c	   	         ss     j  d  t | | t | | |  | | t | | |  | |  t d  t | | |  |  |  S(   Ni
  i   (   R  R   Rò  Rà  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2572  s    c	   	         ss     j  d  t | | t | | |  | | t | | |  | |  t d  t | | |  |  |  S(   Ni
  i   (   R  R   Ró  Rà  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2573  s    c	   	   	      sÄ     j  d  t | | t | | |  | | t | | |  | | t | | |  | t | | t | | |  |  | t | | |  | | t | | |  | |  |  S(   Ni
  (   R  RÀ  Rò  R   (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2574  s    c	   	   	      sÄ     j  d  t | | t | | |  | | t | | |  | | t | | |  | t | | t | | |  |  | t | | |  | | t | | |  | |  |  S(   Ni
  (   R  RÀ  Ró  R   (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2575£  s    c	   	   
      sn     j  d  t t d  | | t t | | |  | | | | | |  | | t | | |   |  S(   Ni
  i   (   R  RÀ  Rà  R*   R   Rò  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2576š  s    c	   	   
      so     j  d  t t d  | | t t | | |  | | | | | |  | | t | | |   |  S(   Ni
  i   (   R  RÀ  Rà  R*   R   Ró  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2577­  s    c      	      s¥     j  d  t | t | t | | |  | t | | |  |  |  |  t | | t | t | | |  | t d  t | | |  |  |  |  S(   Ni
  i   (   R  RÀ  R   Rò  Ró  Rà  (   R  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2578²  s    c      	      s¥     j  d  t | t | t | | |  | t | | |  |  |  |  t | | t | t | | |  | t d  t | | |  |  |  |  S(   Ni
  i   (   R  RÀ  R   Ró  Rò  Rà  (   R  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2579·  s    c      	      sÍ     j  d  t t d  | t | t | | |  | t | | |  |  t d  |  |  t t d  | | t | t | | |  | t d  t | | |  |  t d  |  |  S(   Ni
  i   iþÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  (   R  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2580Œ  s    c      	      sÍ     j  d  t t d  | t | t | | |  | t | | |  |  t d  |  |  t t d  | | t | t | | |  | t d  t | | |  |  t d  |  |  S(   Ni
  i   iþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  (   R  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2581Á  s    c
   
   
      s©     j  d  t | |  | t t | | |  t d  t d  d | | | |  t d  t d  d | | | | | |  | | t |	 | |   |  S(   Ni
  i   iÿÿÿÿ(   R  RÀ  R*   R   Rà  Rò  (
   R  R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2582Æ  s    c
   
   
      sª     j  d  t | |  | t t | | |  t d  t d  d | | | |  t d  t d  d | | | | | |  | | t |	 | |   |  S(   Ni
  i   iÿÿÿÿ(   R  RÀ  R*   R   Rà  Ró  (
   R  R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2583Ë  s    c
   
   
      s¡     j  d  t | |  | t t | | | | t d  | t d  |  t d  t d  d | | | | | |  | | t |	 | |   |  S(   Ni
  i   iÿÿÿÿ(   R  RÀ  R*   R   Rà  Rò  (
   R  R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2584Ð  s    c
   
   
      s¢     j  d  t | |  | t t | | | | t d  | t d  |  t d  t d  d | | | | | |  | | t |	 | |   |  S(   Ni
  i   iÿÿÿÿ(   R  RÀ  R*   R   Rà  Ró  (
   R  R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2585Õ  s    c	   	   
      s­     j  d  t | t | t | | |  | | t | | |  |  |  |  t | | t | t | | |  | t d  | t | | |  |  |  |  S(   Ni
  i   (   R  RÀ  R   Rò  Ró  Rà  (	   R  R   R  R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2586Ú  s    c	   	   
      s­     j  d  t | t | t | | |  | | t | | |  |  |  |  t | | t | t | | |  | t d  | t | | |  |  |  |  S(   Ni
  i   (   R  RÀ  R   Ró  Rò  Rà  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2587ß  s    c	   	   
      sÝ     j  d  t | t d  | t | t | | |  | | t | | |  |  t d  |  |  t | t d  | | t | t | | |  | t d  | t | | |  |  t d  |  |  S(   Ni
  i   iþÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  (	   R  R   R  R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2588ä  s    c	   	   
      sÝ     j  d  t | t d  | t | t | | |  | | t | | |  |  t d  |  |  t | t d  | | t | t | | |  | t d  | t | | |  |  t d  |  |  S(   Ni
  i   iþÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2589é  s    c      
      s     j  d  t | | | | | t d  | t | t |
 | |	  t d  | |  | | t |
 | |	  | | |	  |	  S(   Ni
  i   (   R  RÀ  Rà  R   Ró  Rò  (   R  R¢  R   R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2590î  s    c      
      s     j  d  t | | | | | t d  | t | t |
 | |	  t d  | |  | | t |
 | |	  | | |	  |	  S(   Ni
  i   (   R  RÀ  Rà  R   Rò  Ró  (   R  R¢  R   R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2591ó  s    c
   
   
      s     j  d  t | |  t d  | |  t d  t | | t |	 | |  | |  t d  | | t |	 | |  | |  t d  |  |  S(   Ni 
  i   (   R  RÀ  Rà  R   Rò  (
   R  R¢  R   R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2592ø  s    c
   
   
      s     j  d  t | |  t d  | |  t d  t | | t |	 | |  | |  t d  | | t |	 | |  | |  t d  |  |  S(   Ni!
  i   (   R  RÀ  Rà  R   Ró  (
   R  R¢  R   R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2593ý  s    c	   	   
      s     j  d  t | t | | |  t | | t | | |   t | | t | | |   t | t | | |  |  t d  |  |  S(   Ni"
  iÿÿÿÿ(   R  RÀ  Ró  Rá  Rò  R   Rà  (	   R  R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2594	  s    c	   	   
      s     j  d  t | t | | |  t | | t | | |   t | | t | | |   t | t | | |  |  t d  |  |  S(   Ni#
  iÿÿÿÿ(   R  RÀ  Rò  Rá  Ró  R   Rà  (	   R  R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2595	  s    c      
      s    j  d  t | t |  | t |  | t d  t |  | t |
 | |	  t d  t |  | | t |
 | |	  t |  | | t |
 | |	  t |  t | t |
 | |	  t d  | |  | | t |
 | |	  |	  |	  S(   Ni$
  i   (   R  RÀ  R$   Rà  Ró  R%   Rò  R   (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2596	  s    c      
      s    j  d  t | t |  | t |  | t d  t |  | t |
 | |	  t d  t |  | | t |
 | |	  t |  | | t |
 | |	  t |  t | t |
 | |	  t d  | |  | | t |
 | |	  |	  |	  S(   Ni%
  i   (   R  RÀ  R$   Rà  Rò  R%   Ró  R   (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2597	  s    c            s     j  d  t | | t |
 | |	  |  t d  | | t |
 | |	  | t d  | | t |
 | |	  | | | | | t d  |	  S(   Ni&
  i   iÿÿÿÿ(   R  R€  Ró  Rà  Rò  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2598	  s    c            s     j  d  t | | t |
 | |	  |  t d  | | t |
 | |	  | t d  | | t |
 | |	  | | | | | t d  |	  S(   Ni'
  i   iÿÿÿÿ(   R  R€  Rò  Rà  Ró  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2599	  s    c      
      so    j  d  t | t d  | |  t d  | t d  | |  t d  t | t |
 | |	  |  | | t |
 | |	  | t d  | | t |
 | |	  | t d  |	  |	  t t d  | | t |
 | |	  |  t d  | | t |
 | |	  | t d  | | t |
 | |	  | | | t d  | |  t d  |	  S(   Ni(
  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2600 	  s    c      
      sn    j  d  t | t d  | |  t d  | t d  | |  t d  t | t |
 | |	  |  | | t |
 | |	  | t d  | | t |
 | |	  | t d  |	  |	  t t d  | | t |
 | |	  |  t d  | | t |
 | |	  | t d  | | t |
 | |	  | | | t d  | |  t d  |	  S(   Ni)
  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2601%	  s    c      
      s5    j  d  t | t d  | |  t d  | | |  t | t |
 | |	  |  | | t |
 | |	  | t d  | | t |
 | |	  | |	  |	  t | | t |
 | |	  |  t d  | | t |
 | |	  | t d  | | t |
 | |	  | | | | | |  |	  S(   Ni*
  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2602*	  s    c      
      s5    j  d  t | t d  | |  t d  | | |  t | t |
 | |	  |  | | t |
 | |	  | t d  | | t |
 | |	  | |	  |	  t | | t |
 | |	  |  t d  | | t |
 | |	  | t d  | | t |
 | |	  | | | | | |  |	  S(   Ni+
  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2603/	  s    c
   
         sî     j  d  t | t |  | t |  | t d  t |  | t |	 | |  t d  t |  | | t |	 | |  t |  | | t |	 | |  t |  t | t |	 | |  t d  | |  |  |  S(   Ni,
  i   (   R  RÀ  R$   Rà  Ró  R%   Rò  R   (
   R  R¢  R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement26044	  s    c
   
         sî     j  d  t | t |  | t |  | t d  t |  | t |	 | |  t d  t |  | | t |	 | |  t |  | | t |	 | |  t |  t | t |	 | |  t d  | |  |  |  S(   Ni-
  i   (   R  RÀ  R$   Rà  Rò  R%   Ró  R   (
   R  R¢  R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement26059	  s    c            s     j  d  t | | t |
 | |	  |  t d  | | t |
 | |	  | | | t |
 | |	  | | | | | | |	  S(   Ni.
  i   (   R  R€  Ró  Rà  Rò  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2606>	  s    c            s     j  d  t | | t |
 | |	  |  t d  | | t |
 | |	  | | | t |
 | |	  | | | | | | |	  S(   Ni/
  i   (   R  R€  Rò  Rà  Ró  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2607C	  s    c      
      sI    j  d  t | | |  t d  | t d  | |  t d  t | t |
 | |	  |  | | t |
 | |	  | t d  | | t |
 | |	  | |	  |	  t | | t |
 | |	  |  t d  | | t |
 | |	  | | | t |
 | |	  | | | | t d  | |  t d  |	  S(   Ni0
  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2608H	  s    c      
      sI    j  d  t | | |  t d  | t d  | |  t d  t | t |
 | |	  |  | | t |
 | |	  | t d  | | t |
 | |	  | |	  |	  t | | t |
 | |	  |  t d  | | t |
 | |	  | | | t |
 | |	  | | | | t d  | |  t d  |	  S(   Ni1
  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2609M	  s    c      
      so    j  d  t | t d  | |  t d  | t d  | |  t d  t | t |
 | |	  |  | | t |
 | |	  | t d  | | t |
 | |	  | t d  |	  |	  t t d  | | t |
 | |	  |  t d  | | t |
 | |	  | t d  | | t |
 | |	  | | | t d  | |  t d  |	  S(   Ni2
  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2610R	  s    c      
      sn    j  d  t | t d  | |  t d  | t d  | |  t d  t | t |
 | |	  |  | | t |
 | |	  | t d  | | t |
 | |	  | t d  |	  |	  t t d  | | t |
 | |	  |  t d  | | t |
 | |	  | t d  | | t |
 | |	  | | | t d  | |  t d  |	  S(   Ni3
  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2611W	  s    c      
      s5    j  d  t | t d  | |  t d  | | |  t | t |
 | |	  |  | | t |
 | |	  | t d  | | t |
 | |	  | |	  |	  t | | t |
 | |	  |  t d  | | t |
 | |	  | t d  | | t |
 | |	  | | | | | |  |	  S(   Ni4
  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2612\	  s    c      
      s5    j  d  t | t d  | |  t d  | | |  t | t |
 | |	  |  | | t |
 | |	  | t d  | | t |
 | |	  | |	  |	  t | | t |
 | |	  |  t d  | | t |
 | |	  | t d  | | t |
 | |	  | | | | | |  |	  S(   Ni5
  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2613a	  s    c      
      sI    j  d  t | | |  t d  | t d  | |  t d  t | t |
 | |	  |  | | t |
 | |	  | t d  | | t |
 | |	  | |	  |	  t | | t |
 | |	  |  t d  | | t |
 | |	  | | | t |
 | |	  | | | | t d  | |  t d  |	  S(   Ni6
  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2614f	  s    c      
      sI    j  d  t | | |  t d  | t d  | |  t d  t | t |
 | |	  |  | | t |
 | |	  | t d  | | t |
 | |	  | |	  |	  t | | t |
 | |	  |  t d  | | t |
 | |	  | | | t |
 | |	  | | | | t d  | |  t d  |	  S(   Ni7
  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2615k	  s    c      
      s    j  d  t | t |  | t |  | t d  t |  | t |
 | |	  t d  t |  | | t |
 | |	  t |  | | t |
 | |	  t |  t | t |
 | |	  t d  | |  | | t |
 | |	  | | |	  |	  S(   Ni8
  i   (   R  RÀ  R$   Rà  Ró  R%   Rò  R   (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2616p	  s    c      
      s    j  d  t | t |  | t |  | t d  t |  | t |
 | |	  t d  t |  | | t |
 | |	  t |  | | t |
 | |	  t |  t | t |
 | |	  t d  | |  | | t |
 | |	  | | |	  |	  S(   Ni9
  i   (   R  RÀ  R$   Rà  Rò  R%   Ró  R   (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2617u	  s    c
   
         sw     j  d  t | | t |	 | |  |  t d  | | t |	 | |  | | | | |  t d  |  S(   Ni:
  i   (   R  R€  Ró  Rà  Rò  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2618z	  s    c
   
         sv     j  d  t | | t |	 | |  |  t d  | | t |	 | |  | | | | |  t d  |  S(   Ni;
  i   (   R  R€  Rò  Rà  Ró  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2619	  s    c
   
   
      s)    j  d  t | | | | | | | |  t d  | | t d  |  t d  t | t |	 | |  |  t d  | | t |	 | |  | t d  |  |  t | t |	 | |  |  t d  | | t |	 | |  | | | | | | | | |  t d  |  S(   Ni<
  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2620	  s    c
   
   
      s)    j  d  t | | | | | | | |  t d  | | t d  |  t d  t | t |	 | |  |  t d  | | t |	 | |  | t d  |  |  t | t |	 | |  |  t d  | | t |	 | |  | | | | | | | | |  t d  |  S(   Ni=
  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2621	  s    c
   
   
      sû     j  d  t | | | | | | |  t d  | | |  t d  t | t |	 | |  |  | | t |	 | |  | |  |  t | | t |	 | |  |  t d  | | t |	 | |  | | | | |  t d  |  S(   Ni>
  i   (   R  RÀ  Rà  R   Ró  Rò  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2622	  s    c
   
   
      sû     j  d  t | | | | | | |  t d  | | |  t d  t | t |	 | |  |  | | t |	 | |  | |  |  t | | t |	 | |  |  t d  | | t |	 | |  | | | | |  t d  |  S(   Ni?
  i   (   R  RÀ  Rà  R   Rò  Ró  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2623	  s    c      
      sX    j  d  t t d  | t d  t d  |  t d  t | | t | | |  |  t d  t d  | | |  t d  | | | | t d  |  t d  t | | |  |  |  t t d  | | t | | |  |  t d  | | | | t | | |  | t d  | t d  |  t d  |  S(   Ni@
  i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2624	  s    c      
      sY    j  d  t t d  | t d  t d  |  t d  t | | t | | |  |  t d  t d  | | |  t d  | | | | t d  |  t d  t | | |  |  |  t t d  | | t | | |  |  t d  | | | | t | | |  | t d  | t d  |  t d  |  S(   NiA
  i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2625	  s    c      
      s@    j  d  t t d  | t d  |  t d  t | | t | | |  |  t d  | | |  t d  | | |  t d  | | |  t d  | | |  t d  t | | |  |  |  t | | | t | | |  |  t d  t | | |  | t d  | |  t d  |  S(   NiB
  i   i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2626¢	  s    c      
      s@    j  d  t t d  | t d  |  t d  t | | t | | |  |  t d  | | |  t d  | | |  t d  | | |  t d  | | |  t d  t | | |  |  |  t | | | t | | |  |  t d  t | | |  | t d  | |  t d  |  S(   NiC
  i   i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2627§	  s    c
   
   
      s.    j  d  t | | | | | | |  t d  | | t d  | |  t d  t | t |	 | |  |  | | t |	 | |  | t d  |  |  t | t |	 | |  |  t d  | | t |	 | |  | | | | | | | | t d  | |  t d  |  S(   NiD
  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2628¬	  s    c
   
   
      s.    j  d  t | | | | | | |  t d  | | t d  | |  t d  t | t |	 | |  |  | | t |	 | |  | t d  |  |  t | t |	 | |  |  t d  | | t |	 | |  | | | | | | | | t d  | |  t d  |  S(   NiE
  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2629±	  s    c
   
   
      sû     j  d  t | | | | | | |  t d  | | |  t d  t | t |	 | |  |  | | t |	 | |  | |  |  t | | t |	 | |  |  t d  | | t |	 | |  | | | | |  t d  |  S(   NiF
  i   (   R  RÀ  Rà  R   Ró  Rò  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2630¶	  s    c
   
   
      sû     j  d  t | | | | | | |  t d  | | |  t d  t | t |	 | |  |  | | t |	 | |  | |  |  t | | t |	 | |  |  t d  | | t |	 | |  | | | | |  t d  |  S(   NiG
  i   (   R  RÀ  Rà  R   Rò  Ró  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2631»	  s    c
   
         sb    j  d  t t d  | t d  |  t d  t | t |	 | |  |  t d  | | t |	 | |  | t d  t | | |  t d  | | | |  t d  t |	 | |  | | | |  |  |  t | t |	 | |  |  t d  | | t |	 | |  | | t |	 | |  | | | |  t d  |  S(   NiH
  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2632À	  s    c
   
         sb    j  d  t t d  | t d  |  t d  t | t |	 | |  |  t d  | | t |	 | |  | t d  t | | |  t d  | | | |  t d  t |	 | |  | | | |  |  |  t | t |	 | |  |  t d  | | t |	 | |  | | t |	 | |  | | | |  t d  |  S(   NiI
  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2633Å	  s    c
   
         sL    j  d  t t d  | |  t d  t | t |	 | |  |  | | t |	 | |  | t d  t | | | |  t d  | | | | | | | | | |  t d  t |	 | |  |  |  |  t | | t |	 | |  |  t d  | | t |	 | |  | | | | |  t d  |  S(   NiJ
  i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2634Ê	  s    c
   
         sL    j  d  t t d  | |  t d  t | t |	 | |  |  | | t |	 | |  | t d  t | | | |  t d  | | | | | | | | | |  t d  t |	 | |  |  |  |  t | | t |	 | |  |  t d  | | t |	 | |  | | | | |  t d  |  S(   NiK
  i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2635Ï	  s    c
   
         sæ    j  d  t | t d  |  t d  | t d  | t d  | |  t d  t | t |	 | |  |  t d  | | t |	 | |  | t d  t | | | t d  | | |  | | | |  t d  t |	 | |  |  |  |  t | | t |	 | |  |  t d  | | t |	 | |  | t d  | | |  | | | |  t d  | | | t d  t |	 | |  | t d  | | t d  | |  t d  |  S(   NiL
  i   iÿÿÿÿi   iþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2636Ô	  s    c
   
         sæ    j  d  t | t d  |  t d  | t d  | t d  | |  t d  t | t |	 | |  |  t d  | | t |	 | |  | t d  t | | | t d  | | |  | | | |  t d  t |	 | |  |  |  |  t | | t |	 | |  |  t d  | | t |	 | |  | t d  | | |  | | | |  t d  | | | t d  t |	 | |  | t d  | | t d  | |  t d  |  S(   NiM
  i   iÿÿÿÿi   iþÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2637Ù	  s    c
   
         s    j  d  t t d  | t d  | t d  | t d  t | t |	 | |  |  | | t |	 | |  | t d  t | t d  | | | | | | | | | |  t d  t |	 | |  |  |  |  t | t |	 | |  |  t d  | | t |	 | |  | t d  | | | | | | | t d  | t d  | t d  |  S(   NiN
  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2638Þ	  s    c
   
         s    j  d  t t d  | t d  | t d  | t d  t | t |	 | |  |  | | t |	 | |  | t d  t | t d  | | | | | | | | | |  t d  t |	 | |  |  |  |  t | t |	 | |  |  t d  | | t |	 | |  | t d  | | | | | | | t d  | t d  | t d  |  S(   NiO
  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2639ã	  s    c
   
         s    j  d  t | t d  |  t d  | t d  | |  | |  t d  t | t |	 | |  |  t d  | | t |	 | |  | t | | | | | | | |  t d  | | | | |  t d  | | t d  |  | t d  | |  t |	 | |  |  |  |  t | | t |	 | |  |  t d  | | t |	 | |  | t d  | | |  | | | |  t d  | | | |  t |	 | |  | t d  | | |  | |  t d  |  S(   NiP
  i   iÿÿÿÿi   iþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2640è	  s    c
   
         s    j  d  t | t d  |  t d  | t d  | |  | |  t d  t | t |	 | |  |  t d  | | t |	 | |  | t | | | | | | | |  t d  | | | | |  t d  | | t d  |  | t d  | |  t |	 | |  |  |  |  t | | t |	 | |  |  t d  | | t |	 | |  | t d  | | |  | | | |  t d  | | | |  t |	 | |  | t d  | | |  | |  t d  |  S(   NiQ
  i   iÿÿÿÿi   iþÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2641í	  s    c
   
         sí    j  d  t t d  | t d  | t d  | t d  |  t d  t | t |	 | |  |  t d  | | t |	 | |  | t | | | | | | | | | | |  t d  t |	 | |  | | t d  |  t d  | t d  | |  t d  |  |  |  t | t |	 | |  |  t d  | | t |	 | |  | t d  | | | | | | | | t |	 | |  | | | t d  | t d  |  t d  |  S(   NiR
  i   i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2642ò	  s    c
   
         sí    j  d  t t d  | t d  | t d  | t d  |  t d  t | t |	 | |  |  t d  | | t |	 | |  | t | | | | | | | | | | |  t d  t |	 | |  | | t d  |  t d  | t d  | |  t d  |  |  |  t | t |	 | |  |  t d  | | t |	 | |  | t d  | | | | | | | | t |	 | |  | | | t d  | t d  |  t d  |  S(   NiS
  i   i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (
   R  R¢  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2643÷	  s    c	   	         s     j  d  t | | t | t | | |  |  |  |  t | | | | | t | t | | |  |  | | t | | |  |  |  S(   NiT
  (   R  RÀ  R   Ró  Rò  (	   R  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2644ü	  s    c	   	         s     j  d  t | | t | t | | |  |  |  |  t | | | | | t | t | | |  |  | | t | | |  |  |  S(   NiU
  (   R  RÀ  R   Rò  Ró  (	   R  R   R£  R  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2645
  s    c
   
   	      sO    j  d  t | | | t |	 | |  |  t d  t |	 | |  t d  |  t d  t d  d t |	 | |  t d  |  t d  t d  d | t t t d  | | | |  t d  t d  d t d  | | | |  t d  t d  d | | | | |  | t |	 | |   |  S(   NiV
  iÿÿÿÿi   i   (   R  RÀ  Ró  Rà  Rò  R*   R   (
   R  R¢  R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2646
  s    c
   
   	      sP    j  d  t | | | t |	 | |  |  t d  t |	 | |  t d  |  t d  t d  d t |	 | |  t d  |  t d  t d  d | t t t d  | | | |  t d  t d  d t d  | | | |  t d  t d  d | | | | |  | t |	 | |   |  S(   NiW
  iÿÿÿÿi   i   (   R  RÀ  Rò  Rà  Ró  R*   R   (
   R  R¢  R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2647
  s    c	   	   
      si     j  d  t | t d  | t | t | | |  | | | t | | |  | |  |  S(   NiX
  i   (   R  RÀ  Rà  R   Rò  (	   R  R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2648
  s    c	   	   
      si     j  d  t | t d  | t | t | | |  | | | t | | |  | |  |  S(   NiY
  i   (   R  RÀ  Rà  R   Ró  (	   R  R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2649
  s    c      
      sÿ     j  d  t | t d  | t d  t | t | | |  |  t d  | | t | | |  | t d  |  |  t | t | | |  |  t d  | | t | | |  | t d  t d  | | | | t d  |  S(   NiZ
  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2650
  s    c      
      sÿ     j  d  t | t d  | t d  t | t | | |  |  t d  | | t | | |  | t d  |  |  t | t | | |  |  t d  | | t | | |  | t d  t d  | | | | t d  |  S(   Ni[
  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2651
  s    c      
      sÎ     j  d  t | t d  t | t | | |  |  t d  | | t | | |  | |  |  t | | t | | |  |  t d  | | t | | |  | | | | | |  S(   Ni\
  iþÿÿÿi   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2652$
  s    c      
      sÎ     j  d  t | t d  t | t | | |  |  t d  | | t | | |  | |  |  t | | t | | |  |  t d  | | t | | |  | | | | | |  S(   Ni]
  iþÿÿÿi   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2653)
  s    c	   	         s     j  d  t | |  t t | t | | |  | | | t | | |  |  t d  | | t | | |  | |  t d  |  |  |  S(   Ni^
  i   (   R  RÀ  R   RH  Rò  Rà  (	   R  R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2654.
  s    c	   	         s     j  d  t | |  t t | t | | |  | | | t | | |  |  t d  | | t | | |  | |  t d  |  |  |  S(   Ni_
  i   (   R  RÀ  R   RH  Ró  Rà  (	   R  R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement26553
  s    c
   
   
      sp     j  d  t t | t |	 | |  |  | t |	 | |  | | | t |	 | |  | |  |  S(   Ni`
  (   R  R   RH  Ró  Rò  (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement26568
  s    c
   
   
      sp     j  d  t t | t |	 | |  |  | t |	 | |  | | | t |	 | |  | |  |  S(   Nia
  (   R  R   RH  Rò  Ró  (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2657=
  s    c      
      s     j  d  t | t d  t | t | | |  | | | t | | |  | | t | | |  |  t d  |  |  S(   Nib
  iþÿÿÿi   (   R  RÀ  Rà  R   Rò  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2658B
  s    c      
      s     j  d  t | t d  t | t | | |  | | | t | | |  | | t | | |  |  t d  |  |  S(   Nic
  iþÿÿÿi   (   R  RÀ  Rà  R   Ró  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2659G
  s    c
   
   
      s     j  d  t | | t d  | t | t |	 | |  | | t |	 | |  t d  | |  | | t |	 | |  | |  |  S(   Nid
  i   (   R  RÀ  Rà  R   Rò  Ró  (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2660L
  s    c
   
   
      s     j  d  t | | t d  | t | t |	 | |  | | t |	 | |  t d  | |  | | t |	 | |  | |  |  S(   Nie
  i   (   R  RÀ  Rà  R   Ró  Rò  (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2661Q
  s    c
   
   
      s     j  d  t | | t d  | t | t |	 | |  | | t |	 | |  t d  | |  | | t |	 | |  | |  |  S(   Nif
  i   (   R  RÀ  Rà  R   Rò  Ró  (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2662V
  s    c
   
   
      s     j  d  t | | t d  | t | t |	 | |  | | t |	 | |  t d  | |  | | t |	 | |  | |  |  S(   Nig
  i   (   R  RÀ  Rà  R   Ró  Rò  (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2663[
  s    c      
      sF    j  d  t t d  | t d  t d  | |  t d  t | t | | |  |  | | t | | |  | t d  | | | t d  | |  t d  t | | |  |  |  t | | t | | |  |  t d  | | t | | |  | | | | t d  | |  t d  |  S(   Nih
  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2664`
  s    c      
      sF    j  d  t t d  | t d  t d  | |  t d  t | t | | |  |  | | t | | |  | t d  | | | t d  | |  t d  t | | |  |  |  t | | t | | |  |  t d  | | t | | |  | | | | t d  | |  t d  |  S(   Nii
  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2665e
  s    c      
      s     j  d  t t d  | | |  t d  t | t | | |  |  | | t | | |  | | |  t d  t | | |  | | t d  |  |  t | t | | |  |  t d  | | t | | |  | t d  | | | | |  t d  |  S(   Nij
  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2666j
  s    c      
      s     j  d  t t d  | | |  t d  t | t | | |  |  | | t | | |  | | |  t d  t | | |  | | t d  |  |  t | t | | |  |  t d  | | t | | |  | t d  | | | | |  t d  |  S(   Nik
  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2667o
  s    c      
      s     j  d  t | t d  t | t | | |  | | | t | | |  | | t | | |  |  t d  |  |  S(   Nil
  iþÿÿÿi   (   R  RÀ  Rà  R   Rò  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2668t
  s    c      
      s     j  d  t | t d  t | t | | |  | | | t | | |  | | t | | |  |  t d  |  |  S(   Nim
  iþÿÿÿi   (   R  RÀ  Rà  R   Ró  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2669y
  s    c            s    j  d  t | t d  t | t | | |  | | | t | | |  |  t d  t | | |  t d  t d  |  |  t t d  | | | t | t | | |  | t d  | | t | | |  |  t d  |  |  S(   Nin
  iþÿÿÿi   i   (   R  RÀ  Rà  R   Rò  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2670~
  s    c            s    j  d  t | t d  t | t | | |  | | | t | | |  |  t d  t | | |  t d  t d  |  |  t t d  | | | t | t | | |  | t d  | | t | | |  |  t d  |  |  S(   Nio
  iþÿÿÿi   i   (   R  RÀ  Rà  R   Ró  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2671
  s    c      
      sà     j  d  t | t d  t | t | | |  | t d  | | t | | |  |  |  |  t | t | | |  | | | t | | |  |  t d  t | | |  t d  t d  |  S(   Nip
  iüÿÿÿi   i   i   (   R  RÀ  Rà  R   Rò  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2672
  s    c      
      sà     j  d  t | t d  t | t | | |  | t d  | | t | | |  |  |  |  t | t | | |  | | | t | | |  |  t d  t | | |  t d  t d  |  S(   Niq
  iüÿÿÿi   i   i   (   R  RÀ  Rà  R   Ró  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2673
  s    c	   	   
      s    j  d  t | | t | | |  | t t | | |  t d   t t | | |  t d   t t | | | t d  | | | |  t d  t d  d t d  | | | | |  t d  t d  d |  | t | | |   |  S(   Nir
  i   i   iÿÿÿÿ(   R  RÀ  Ró  Rá  Rò  Rà  R*   R   (	   R  R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2674
  s    c	   	   
      s    j  d  t | | t | | |  | t t | | |  t d   t t | | |  t d   t t | | | t d  | | | |  t d  t d  d t d  | | | | |  t d  t d  d |  | t | | |   |  S(   Nis
  i   i   iÿÿÿÿ(   R  RÀ  Rò  Rá  Ró  Rà  R*   R   (	   R  R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2675
  s    c	   	   
      s    j  d  t | |  t d  t | | |  | t | | t | | |   t | | t | | |   t t | | | | | | |  t d  t d  d | | | | |  t d  t d  d |  | t | | |   |  S(   Nit
  i   iÿÿÿÿ(   R  RÀ  Rà  Ró  Rá  Rò  R*   R   (	   R  R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2676
  s    c	   	   
      s    j  d  t | |  t d  t | | |  | t | | t | | |   t | | t | | |   t t | | | | | | |  t d  t d  d | | | | |  t d  t d  d |  | t | | |   |  S(   Niu
  i   iÿÿÿÿ(   R  RÀ  Rà  Rò  Rá  Ró  R*   R   (	   R  R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2677¡
  s    c
   
   
      sp     j  d  t t | t |	 | |  |  | t |	 | |  | | | t |	 | |  | |  |  S(   Niv
  (   R  R   RH  Ró  Rò  (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2678Š
  s    c
   
   
      sp     j  d  t t | t |	 | |  |  | t |	 | |  | | | t |	 | |  | |  |  S(   Niw
  (   R  R   RH  Rò  Ró  (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2679«
  s    c
   
   
      sS    j  d  t | | | | t |	 | |  |  t d  t |	 | |  t d  |  t d  t d  d t |	 | |  t d  |  t d  t d  d | t t | | | t d  | | | |  t d  t d  d t d  | | | | |  t d  t d  d |  | t |	 | |   |  S(   Nix
  iÿÿÿÿi   i   (   R  RÀ  Ró  Rà  Rò  R*   R   (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2680°
  s    c
   
   
      sT    j  d  t | | | | t |	 | |  |  t d  t |	 | |  t d  |  t d  t d  d t |	 | |  t d  |  t d  t d  d | t t | | | t d  | | | |  t d  t d  d t d  | | | | |  t d  t d  d |  | t |	 | |   |  S(   Niy
  iÿÿÿÿi   i   (   R  RÀ  Rò  Rà  Ró  R*   R   (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2681µ
  s    c
   
   
      s2    j  d  t | | t |	 | |  |  t d  | | t |	 | |  |  t d  t d  d | | t |	 | |  |  t d  t d  d | t t | | | | | | |  t d  t d  d | | | | |  t d  t d  d |  | t |	 | |   |  S(   Niz
  iÿÿÿÿi   i   (   R  RÀ  Ró  Rà  Rò  R*   R   (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2682º
  s    c
   
   
      s3    j  d  t | | t |	 | |  |  t d  | | t |	 | |  |  t d  t d  d | | t |	 | |  |  t d  t d  d | t t | | | | | | |  t d  t d  d | | | | |  t d  t d  d |  | t |	 | |   |  S(   Ni{
  iÿÿÿÿi   i   (   R  RÀ  Rò  Rà  Ró  R*   R   (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2683¿
  s    c	   	   
      sW    j  d  t | t d  t d  | t d  t d  | | t d  t | t | | |  |  t d  | | t | | |  | t d  t | t | | |   |  |  t | t | t | | |   | t | | |  |  t d  | | t | | |  | t d  | | | | t d  |  S(   Ni|
  i   i   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  Rá  R€  (	   R  R¢  R   R£  R  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2684Ä
  s    c	   	   
      sW    j  d  t | t d  t d  | t d  t d  | | t d  t | t | | |  |  t d  | | t | | |  | t d  t | t | | |   |  |  t | t | t | | |   | t | | |  |  t d  | | t | | |  | t d  | | | | t d  |  S(   Ni}
  i   i   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  Rá  R€  (	   R  R¢  R   R£  R  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2685É
  s    c	   	   
      sS    j  d  t t d  | | | t d  t d  | t d  t | t | | |  |  t d  | | t | | |  | t d  t | t | | |   |  |  t t d  t | t | | |   | t | | |  |  t d  | | t | | |  | | | | t d  | t d  |  S(   Ni~
  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  Rá  R€  (	   R  R¢  R   R£  R  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2686Î
  s    c	   	   
      sT    j  d  t t d  | | | t d  t d  | t d  t | t | | |  |  t d  | | t | | |  | t d  t | t | | |   |  |  t t d  t | t | | |   | t | | |  |  t d  | | t | | |  | | | | t d  | t d  |  S(   Ni
  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  Rá  R€  (	   R  R¢  R   R£  R  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2687Ó
  s    c            su     j  d  t | t | | |  | | | t | | |  |  t | | |  t d  t d  |  S(   Ni
  i   i   (   R  R   Rò  Rà  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2688Ø
  s    c            su     j  d  t | t | | |  | | | t | | |  |  t | | |  t d  t d  |  S(   Ni
  i   i   (   R  R   Ró  Rà  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2689Ý
  s    c            s    j  d  t t d  | t d  | | |  t d  | t d  t | t | | |  | t d  | | t | | |  |  t d  t | t d  | t d  | t d  | | |  t d  t | | |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | | | t d  |  t | t | | |  | t d  | | t | | |  |  t d  | t d  | t d  | t d  |  | t d  t | | |  | t d  | | t d  | |  t d  | t d  |  S(   Ni
  i   i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2690â
  s    c            s    j  d  t t d  | t d  | | |  t d  | t d  t | t | | |  | t d  | | t | | |  |  t d  t | t d  | t d  | t d  | | |  t d  t | | |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | | | t d  |  t | t | | |  | t d  | | t | | |  |  t d  | t d  | t d  | t d  |  | t d  t | | |  | t d  | | t d  | |  t d  | t d  |  S(   Ni
  i   i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2691ç
  s    c            s;    j  d  t t d  | t d  | t d  |  t d  |  t d  t | t | | |  | | | t | | |  |  t d  t | t d  | t d  | t d  | | |  t d  t | | |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  | t d  | t d  t | | |  | | t d  | | |  t d  |  t | t | | |  | t d  | | t | | |  |  t d  | t d  |  | t d  | t d  |  | t d  t | | |  | t d  | t d  | | |  t d  |  t d  |  S(   Ni
  i   i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2692ì
  s    c            s;    j  d  t t d  | t d  | t d  |  t d  |  t d  t | t | | |  | | | t | | |  |  t d  t | t d  | t d  | t d  | | |  t d  t | | |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  | t d  | t d  t | | |  | | t d  | | |  t d  |  t | t | | |  | t d  | | t | | |  |  t d  | t d  |  | t d  | t d  |  | t d  t | | |  | t d  | t d  | | |  t d  |  t d  |  S(   Ni
  i   i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2693ñ
  s    c            sÜ    j  d  t t d  | | t d  |  t d  |  | t d  t | t | | |  | | | t | | |  |  t d  t | t d  | t d  | t d  | | |  t d  t | | |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | t d  | | |  | t d  |  t | t | | |  | t d  | | t | | |  |  t d  | t d  | t d  t | | |  | | t d  | | |  t d  |  S(   Ni
  i   i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2694ö
  s    c            sÜ    j  d  t t d  | | t d  |  t d  |  | t d  t | t | | |  | | | t | | |  |  t d  t | t d  | t d  | t d  | | |  t d  t | | |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | t d  | | |  | t d  |  t | t | | |  | t d  | | t | | |  |  t d  | t d  | t d  t | | |  | | t d  | | |  t d  |  S(   Ni
  i   i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2695û
  s    c            sÎ    j  d  t t d  | t d  | t d  | t d  | t d  t | t | | |  | t d  | | t | | |  |  t | t d  | | t d  | | |  t | | |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | | | t d  |  t | | t | | |  | t d  | | t | | |  |  t d  |  | t d  t | | |  | t d  | t d  | | t d  | t d  |  S(   Ni
  i   i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2696   s    c            sÎ    j  d  t t d  | t d  | t d  | t d  | t d  t | t | | |  | t d  | | t | | |  |  t | t d  | | t d  | | |  t | | |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | | | t d  |  t | | t | | |  | t d  | | t | | |  |  t d  |  | t d  t | | |  | t d  | t d  | | t d  | t d  |  S(   Ni
  i   i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2697  s    c            s«    j  d  t t d  | | | | t d  |  | t d  t | t | | |  | t d  | | t | | |  |  t | t d  | t d  | t d  | | |  t d  t | | |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | | | t d  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | t d  | |  | t d  |  S(   Ni
  i   i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2698
  s    c            s«    j  d  t t d  | | | | t d  |  | t d  t | t | | |  | t d  | | t | | |  |  t | t d  | t d  | t d  | | |  t d  t | | |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | | | t d  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | t d  | |  | t d  |  S(   Ni
  i   i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2699  s    c            sÐ    j  d  t t d  | t d  |  | t d  |  | t d  t | t | | |  | | | t | | |  |  t | t d  | t d  | t d  | | |  t | | |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | t d  | |  | t d  |  t | | t | | |  | t d  | | t | | |  |  t d  | t d  t | | |  | t d  | | |  | t d  |  | t d  |  S(   Ni
  i   i   i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2700  s    c            sÐ    j  d  t t d  | t d  |  | t d  |  | t d  t | t | | |  | | | t | | |  |  t | t d  | t d  | t d  | | |  t | | |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | t d  | |  | t d  |  t | | t | | |  | t d  | | t | | |  |  t d  | t d  t | | |  | t d  | | |  | t d  |  | t d  |  S(   Ni
  i   i   i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2701  s    c            s    j  d  t t d  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | t | | |  | t d  | | t | | |  |  t | t d  | t d  | t d  | t d  | t d  | t d  | t d  | t d  t d  | t d  |  | t d  |  | t d  | | |  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  | t d  |  | t d  |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  | t d  | t d  | t d  | t d  | t d  |  | t d  t d  |  t d  | t d  | t d  |  | t d  |  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | | | t d  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | t d  | |  | t d  |  t | | t | | |  | t d  | | t | | |  |  t d  |  | t d  t | | |  | t d  | t d  | | t d  | t d  |  t | | t | | |  | t d  | | t | | |  |  t d  | t d  t | | |  | t d  | t d  | |  | t d  |  | t d  |  S(	   Ni
  i   i   i   i   i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2702  s    c            s    j  d  t t d  | t d  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | t | | |  | t d  | | t | | |  |  t | t d  | t d  | t d  | t d  | t d  | t d  | t d  | t d  t d  | t d  |  | t d  |  | t d  | | |  | t d  | t d  | t d  | t d  |  | t d  |  | t d  t | | |  | t d  |  | t d  |  | t d  |  | t d  |  | t d  | t d  | t d  | t d  | t d  | t d  | t d  | t d  | t d  | t d  |  | t d  t d  |  t d  | t d  | t d  |  | t d  |  | t d  |  | t d  |  | t d  t | | |  t d  |  |  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | | | t d  |  t | t | | |  | t d  | | t | | |  |  t d  t | | |  | | t d  | |  | t d  |  t | | t | | |  | t d  | | t | | |  |  t d  |  | t d  t | | |  | t d  | t d  | | t d  | t d  |  t | | t | | |  | t d  | | t | | |  |  t d  | t d  t | | |  | t d  | t d  | |  | t d  |  | t d  |  S(	   Ni
  i   i   i   i   i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2703#  s    c	   	   	      s     j  d  t t | t | | |  | | | t | | |  | t | | |  t d  t d  |  t d  |  |  S(   Ni
  i   i   (   R  R   RH  Rò  Rà  (	   R  R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2704(  s    c	   	   	      s     j  d  t t | t | | |  | | | t | | |  | t | | |  t d  t d  |  t d  |  |  S(   Ni
  i   i   (   R  R   RH  Ró  Rà  (	   R  R¢  R   R£  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2705-  s    c      
      sh     j  d  t t | t | | |  |  t | | |  | | | t | | |  |  |  S(   Ni
  (   R  R   RH  Ró  Rò  (   R  R   R£  R  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement27062  s    c      
      sh     j  d  t t | t | | |  |  t | | |  | | | t | | |  |  |  S(   Ni
  (   R  R   RH  Rò  Ró  (   R  R   R£  R  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement27077  s    c	   	         s€    j  d  t | t d  | t | t | | |  | | t | | |  |  t d  |  |  t | | t d  | t d  | t | t | | |  | t d  | t | | |  |  t d  |  |  t | t d  | t d  | t d  | t d  | t d  t | t | | |  | t d  | t | | |  |  t d  | | t | | |  |  |  S(   Ni
  i   iþÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2708<  s    c	   	         s€    j  d  t | t d  | t | t | | |  | | t | | |  |  t d  |  |  t | | t d  | t d  | t | t | | |  | t d  | t | | |  |  t d  |  |  t | t d  | t d  | t d  | t d  | t d  t | t | | |  | t d  | t | | |  |  t d  | | t | | |  |  |  S(   Ni
  i   iþÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2709A  s    c	   	         s6    j  d  t | t d  | | t | t | | |  | | t | | |  |  t d  | t | | |  | |  |  t | t d  | t d  | t d  | | | t | t | | |  | t d  | t | | |  |  t d  | | t | | |  |  |  S(   Ni
  i   iþÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2710F  s    c	   	         s6    j  d  t | t d  | | t | t | | |  | | t | | |  |  t d  | t | | |  | |  |  t | t d  | t d  | t d  | | | t | t | | |  | t d  | t | | |  |  t d  | | t | | |  |  |  S(   Ni
  i   iþÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2711K  s    c	   	         s3    j  d  t | t d  | t d  t | t | | |  | | t | | |  |  t d  | | t | | |  |  |  t | t d  | t d  | t d  | t d  t | t | | |  | | t | | |  |  t d  | | t | | |  |  |  S(   Ni
  i   iþÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2712P  s    c	   	         s3    j  d  t | t d  | t d  t | t | | |  | | t | | |  |  t d  | | t | | |  |  |  t | t d  | t d  | t d  | t d  t | t | | |  | | t | | |  |  t d  | | t | | |  |  |  S(   Ni
  i   iþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2713U  s    c	   	         s¶    j  d  t | | t d  | t d  | t d  t | t | | |  | t d  | t | | |  |  |  |  t | | | t d  | t d  t | t | | |  | t d  | t | | |  |  |  |  t | t d  | t d  | t d  | t d  | t d  t | t | | |  | t d  | t | | |  |  t d  | | t | | |  |  |  S(   Ni
  i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2714Z  s    c	   	         s¶    j  d  t | | t d  | t d  | t d  t | t | | |  | t d  | t | | |  |  |  |  t | | | t d  | t d  t | t | | |  | t d  | t | | |  |  |  |  t | t d  | t d  | t d  | t d  | t d  t | t | | |  | t d  | t | | |  |  t d  | | t | | |  |  |  S(   Ni
  i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2715_  s    c	   	         sA    j  d  t | | t d  | t d  t | t | | |  | t d  | t | | |  |  | t | | |  | |  |  t | | | | t d  | t d  | t d  t | t | | |  | t d  | t | | |  |  t d  | | t | | |  |  |  S(   Ni
  i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2716d  s    c	   	         sA    j  d  t | | t d  | t d  t | t | | |  | t d  | t | | |  |  | t | | |  | |  |  t | | | | t d  | t d  | t d  t | t | | |  | t d  | t | | |  |  t d  | | t | | |  |  |  S(   Ni
  i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2717i  s    c	   	         s4    j  d  t | t d  | t d  | t d  | t d  t | t | | |  | | t | | |  |  t d  | | t | | |  |  |  t t d  | t d  | t d  t | t | | |  | | t | | |  |  | | t | | |  |  |  S(   Ni
  i   i   (   R  RÀ  Rà  R   Rò  Ró  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2718n  s    c	   	         s4    j  d  t | t d  | t d  | t d  | t d  t | t | | |  | | t | | |  |  t d  | | t | | |  |  |  t t d  | t d  | t d  t | t | | |  | | t | | |  |  | | t | | |  |  |  S(   Ni
  i   i   (   R  RÀ  Rà  R   Ró  Rò  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2719s  s    c            sí     j  d  t t d  t t d   | |  t t | t d  t t d  | t d  | t d   | t d  | | | t d  | | |  | t | t | |  |   t t | |  |  t d    |  S(   Ni 
  i   i   i   (   R  RÀ  Rà  Rá  R*   R   Ró  Rò  (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2720x  s    c            sì     j  d  t t d  t t d   | |  t t | t d  t t d  | t d  | t d   | t d  | | | t d  | | |  | t | t | |  |   t t | |  |  t d    |  S(   Ni¡
  i   i   i   (   R  RÀ  Rà  Rá  R*   R   Rò  Ró  (   R   R£  R  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2721}  s    c      
      s      j  d  t t t | |  |   t | t | |  |   t t | t | |  |   | | t | |  |  t t | |  |   |  |  S(   Ni¢
  (   R  RÀ  Rá  Rò  R   Ró  (   R   R£  R  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2722  s    c      
      s      j  d  t t t | |  |   t | t | |  |   t t | t | |  |   | | t | |  |  t t | |  |   |  |  S(   Ni£
  (   R  RÀ  Rá  Ró  R   Rò  (   R   R£  R  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2723  s    c            sî  t  | t d  | t d  t d   }   j d  t t d  t t d   | | | |  | t t t d  t t d  | t d  | t d   | | t d  | | | |  | t | t | |  |   t t | |  |  t d    |  t t d  t t d   | | | |  | t t t d  t t d  | t d  | t d   | | t d  | | | |  | t | t | |  |   t t | |  |  t d    |  S(   Ni   i€
  i   i   (	   R  Rà  R  RÀ  Rá  R*   R   Rò  Ró  (   R   R£  RÁ  R  R  R¡  Rð  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2724  s    .c            sî  t  | t d  | t d  t d   }   j d  t t d  t t d   | | | |  | t t t d  t t d  | t d  | t d   | | t d  | | | |  | t | t | |  |   t t | |  |  t d    |  t t d  t t d   | | | |  | t t t d  t t d  | t d  | t d   | | t d  | | | |  | t | t | |  |   t t | |  |  t d    |  S(   Ni   i¥
  i   i   (	   R  Rà  R  RÀ  Rá  R*   R   Ró  Rò  (   R   R£  RÁ  R  R  R¡  Rð  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With2725  s    .c      
      s      j  d  t t t | |  |   t | t | |  |   t t | t | |  |   | | t | |  |  t t | |  |   |  |  S(   NiŠ
  (   R  RÀ  Rá  Ró  R   Rò  (   R   R£  R  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2726  s    c      
      s      j  d  t t t | |  |   t | t | |  |   t t | t | |  |   | | t | |  |  t t | |  |   |  |  S(   Ni§
  (   R  RÀ  Rá  Rò  R   Ró  (   R   R£  R  RÁ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2727  s    c	   	         sÙ     j  d  t | | t | t | | |  | t d  | t | | |  |  |  |  t | | | t | t | | |  | t d  | t | | |  |  | | t | | |  |  |  S(   Niš
  iÿÿÿÿ(   R  RÀ  R   Rò  Rà  Ró  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2728¢  s    c	   	         sÙ     j  d  t | | t | t | | |  | t d  | t | | |  |  |  |  t | | | t | t | | |  | t d  | t | | |  |  | | t | | |  |  |  S(   Ni©
  iÿÿÿÿ(   R  RÀ  R   Ró  Rà  Rò  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2729§  s    c	   	         sÕ     j  d  t t d  | t | t | | |  | | t | | |  |  |  |  t | | | t | t | | |  | t d  | t | | |  |  | | t | | |  |  |  S(   Niª
  i   (   R  RÀ  Rà  R   Rò  Ró  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2730¬  s    c	   	         sÕ     j  d  t t d  | t | t | | |  | | t | | |  |  |  |  t | | | t | t | | |  | t d  | t | | |  |  | | t | | |  |  |  S(   Ni«
  i   (   R  RÀ  Rà  R   Ró  Rò  (	   R  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2731±  s    c
   
   
      sp     j  d  t t | t |	 | |  |  | t |	 | |  | | | t |	 | |  | |  |  S(   Ni¬
  (   R  R   RH  Ró  Rò  (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2732¶  s    c
   
   
      sp     j  d  t t | t |	 | |  |  | t |	 | |  | | | t |	 | |  | |  |  S(   Ni­
  (   R  R   RH  Rò  Ró  (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2733»  s    c
   
         sø    j  d  t | t d  | t | t |	 | |  | | t |	 | |  |  t d  | | t |	 | |  | t d  |  |  t | | t d  | t d  | t | t |	 | |  | t d  | t |	 | |  |  t d  | | t |	 | |  | t d  |  |  t | t d  | t d  | t d  | t d  | t d  t | t |	 | |  | t d  | t |	 | |  |  t d  | | t |	 | |  | |  |  S(   Ni®
  i   iþÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2734À  s    c
   
         sø    j  d  t | t d  | t | t |	 | |  | | t |	 | |  |  t d  | | t |	 | |  | t d  |  |  t | | t d  | t d  | t | t |	 | |  | t d  | t |	 | |  |  t d  | | t |	 | |  | t d  |  |  t | t d  | t d  | t d  | t d  | t d  t | t |	 | |  | t d  | t |	 | |  |  t d  | | t |	 | |  | |  |  S(   Ni¯
  i   iþÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  (
   R  R¢  R   R£  R  RÁ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2735Å  s    c
   
   
      sm     j  d  t | t d  | t | | t |	 | |  | | | t |	 | |  | |  |  S(   Ni°
  i   (   R  RÀ  Rà  R   Rò  (
   R  R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2736Ê  s    c
   
   
      sm     j  d  t | t d  | t | | t |	 | |  | | | t |	 | |  | |  |  S(   Ni±
  i   (   R  RÀ  Rà  R   Ró  (
   R  R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2737Ï  s    c      
      s     j  d  t | | t d  | t | t |
 | |	  t d  | |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   Ni²
  i   (   R  RÀ  Rà  R   Ró  Rò  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2738Ô  s    c      
      s     j  d  t | | t d  | t | t |
 | |	  t d  | |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   Ni³
  i   (   R  RÀ  Rà  R   Rò  Ró  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2739Ù  s    c	   	   
      s     j  d  t | t d  t | | t | | |  | | t | | |  |  t d  | | t | | |  | |  |  S(   NiŽ
  iþÿÿÿi   (   R  RÀ  Rà  R   Rò  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2740Þ  s    c	   	   
      s     j  d  t | t d  t | | t | | |  | | t | | |  |  t d  | | t | | |  | |  |  S(   Niµ
  iþÿÿÿi   (   R  RÀ  Rà  R   Ró  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2741ã  s    c
   
   
      s    j  d  t | | t |	 | |  | t t |	 | |  t d   t t |	 | |  t d   t t t d  | | | |  t d  t d  d t d  | | | | |  t d  t d  d | | | | |  | t |	 | |   |  S(   Ni¶
  i   i   iÿÿÿÿ(   R  RÀ  Ró  Rá  Rò  Rà  R*   R   (
   R  R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2742è  s    c
   
   
      s    j  d  t | | t |	 | |  | t t |	 | |  t d   t t |	 | |  t d   t t t d  | | | |  t d  t d  d t d  | | | | |  t d  t d  d | | | | |  | t |	 | |   |  S(   Ni·
  i   i   iÿÿÿÿ(   R  RÀ  Rò  Rá  Ró  Rà  R*   R   (
   R  R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2743í  s    c
   
   
      s    j  d  t | |  t d  t |	 | |  | t | | t |	 | |   t | | t |	 | |   t t | | | |  t d  t d  d | | | | |  t d  t d  d | | | | |  | t |	 | |   |  S(   Niž
  i   iÿÿÿÿ(   R  RÀ  Rà  Ró  Rá  Rò  R*   R   (
   R  R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2744ò  s    c
   
   
      s    j  d  t | |  t d  t |	 | |  | t | | t |	 | |   t | | t |	 | |   t t | | | |  t d  t d  d | | | | |  t d  t d  d | | | | |  | t |	 | |   |  S(   Ni¹
  i   iÿÿÿÿ(   R  RÀ  Rà  Rò  Rá  Ró  R*   R   (
   R  R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2745÷  s    c      
      st     j  d  t t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   Niº
  (   R  R   RH  Ró  Rò  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2746ü  s    c      
      st     j  d  t t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   Ni»
  (   R  R   RH  Rò  Ró  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2747  s    c      
      sW    j  d  t | | | | t |
 | |	  |  t d  t |
 | |	  t d  |  t d  t d  d t |
 | |	  t d  |  t d  t d  d | t t t d  | |	 | |  t d  t d  d t d  | |	 | | |  t d  t d  d | | |	 | |	  |	 t |
 | |	   |	  S(   NiŒ
  iÿÿÿÿi   i   (   R  RÀ  Ró  Rà  Rò  R*   R   (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2748  s    c      
      sX    j  d  t | | | | t |
 | |	  |  t d  t |
 | |	  t d  |  t d  t d  d t |
 | |	  t d  |  t d  t d  d | t t t d  | |	 | |  t d  t d  d t d  | |	 | | |  t d  t d  d | | |	 | |	  |	 t |
 | |	   |	  S(   Niœ
  iÿÿÿÿi   i   (   R  RÀ  Rò  Rà  Ró  R*   R   (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2749  s    c      
      s6    j  d  t | | t |
 | |	  |  t d  | | t |
 | |	  |  t d  t d  d | | t |
 | |	  |  t d  t d  d | t t | | |	 |  t d  t d  d | | |	 | |  t d  t d  d | | |	 | |	  |	 t |
 | |	   |	  S(   NiŸ
  iÿÿÿÿi   i   (   R  RÀ  Ró  Rà  Rò  R*   R   (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2750  s    c      
      s7    j  d  t | | t |
 | |	  |  t d  | | t |
 | |	  |  t d  t d  d | | t |
 | |	  |  t d  t d  d | t t | | |	 |  t d  t d  d | | |	 | |  t d  t d  d | | |	 | |	  |	 t |
 | |	   |	  S(   Ni¿
  iÿÿÿÿi   i   (   R  RÀ  Rò  Rà  Ró  R*   R   (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2751  s    c	   	         sy     j  d  t | | t | | |  |  | | t | | |  | t | | |  t d  t d  |  S(   NiÀ
  i   i   (   R  R   Rò  Rà  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2752  s    c	   	         sy     j  d  t | | t | | |  |  | | t | | |  | t | | |  t d  t d  |  S(   NiÁ
  i   i   (   R  R   Ró  Rà  (	   R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2753  s    c
   
   	      s     j  d  t t | | t |	 | |  | | | t |	 | |  | t |	 | |  t d  t d  |  t d  |  |  S(   NiÂ
  i   i   (   R  R   RH  Rò  Rà  (
   R  R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2754$  s    c
   
   	      s     j  d  t t | | t |	 | |  | | | t |	 | |  | t |	 | |  t d  t d  |  t d  |  |  S(   NiÃ
  i   i   (   R  R   RH  Ró  Rà  (
   R  R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2755)  s    c      	      su     j  d  t t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   NiÄ
  (   R  R   RH  Ró  Rò  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2756.  s    c      	      su     j  d  t t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   NiÅ
  (   R  R   RH  Rò  Ró  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement27573  s    c            sl     j  d  t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  S(   NiÆ
  (   R  R   Ró  Rò  (   R  R¢  R   R£  R  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement27588  s    c            sl     j  d  t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  S(   NiÇ
  (   R  R   Rò  Ró  (   R  R¢  R   R£  R  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2759=  s    c      
      sÍ     j  d  t | t d  t |   | t |
 | |	  t |   | t |
 | |	  t |   t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   NiÈ
  i   (   R  RÀ  Rà  R$   Ró  R%   R   Rò  (   R  R¢  R   R  R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2760B  s    c      
      sÍ     j  d  t | t d  t |   | t |
 | |	  t |   | t |
 | |	  t |   t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   NiÉ
  i   (   R  RÀ  Rà  R$   Rò  R%   R   Ró  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2761G  s    c            sÕ     j  d  t | | t t | | t | |  |   t | t | |  |   |  |  t | | | t t | | t | |  |   t | t | |  |   | | t | |  |  |  |  S(   NiÊ
  (   R  RÀ  R   Rá  Rò  (   R   R  R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2762L  s    c            sÕ     j  d  t | | t t | | t | |  |   t | t | |  |   |  |  t | | | t t | | t | |  |   t | t | |  |   | | t | |  |  |  |  S(   NiË
  (   R  RÀ  R   Rá  Ró  (   R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2763Q  s    c            sÞ     j  d  t | | t t | t | |  |   t | | t | |  |   |  |  t | | | | | t t | t | |  |   t | | t | |  |   | | t | |  |  |  |  S(   NiÌ
  (   R  RÀ  R   Rá  Rò  (   R   R  R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2764V  s    c            sÞ     j  d  t | | t t | t | |  |   t | | t | |  |   |  |  t | | | | | t t | t | |  |   t | | t | |  |   | | t | |  |  |  |  S(   NiÍ
  (   R  RÀ  R   Rá  Ró  (   R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2765[  s    c            s»     j  d  t t d  | |  t t t d  | | | | | | | t d  |  | | t | |  |  t | t | |  |   t | | t | |  |    |  S(   NiÎ
  i   i   (   R  RÀ  Rà  R*   R   Ró  Rá  Rò  (   R   R  R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2766`  s    c            sº     j  d  t t d  | |  t t t d  | | | | | | | t d  |  | | t | |  |  t | t | |  |   t | | t | |  |    |  S(   NiÏ
  i   i   (   R  RÀ  Rà  R*   R   Rò  Rá  Ró  (   R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2767e  s    c      	      sw     j  d  t t | |  t t t | |  |  t | |  |  t d   | | | |  | |  |  S(   NiÐ
  i   (   R  R€  Rá  R;   R  Ró  Rò  Rà  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2768j  s    c      	      sv     j  d  t t | |  t t t | |  |  t | |  |  t d   | | | |  | |  |  S(   NiÑ
  i   (   R  R€  Rá  R;   R  Rò  Ró  Rà  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2769o  s    c            sE    j  d  t t | t | |  |  | | t | |  |   t | | t | |  |   t t | t | |  |  | | t | |  |   | | | | | | | |  | |  t | t | |  |   t | t d  | | t | |  |  | | t | |  |  | | | |  |  S(   NiÒ
  i   (   R  R€  Rá  Rò  R;   R  Ró  Rà  (   R   R  R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2770t  s    c            sD    j  d  t t | t | |  |  | | t | |  |   t | | t | |  |   t t | t | |  |  | | t | |  |   | | | | | | | |  | |  t | t | |  |   t | t d  | | t | |  |  | | t | |  |  | | | |  |  S(   NiÓ
  i   (   R  R€  Rá  Ró  R;   R  Rò  Rà  (   R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2771y  s    c            sì     j  d  t | | t t d  t | t | |  |   t | | t | |  |   |  |  t | | | | | | t t | t | |  |   t | | t | |  |   | | t | |  |  |  |  S(   NiÔ
  i   (   R  RÀ  R   Rà  Rá  Rò  (   R   R  R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2772~  s    c            sì     j  d  t | | t t d  t | t | |  |   t | | t | |  |   |  |  t | | | | | | t t | t | |  |   t | | t | |  |   | | t | |  |  |  |  S(   NiÕ
  i   (   R  RÀ  R   Rà  Rá  Ró  (   R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2773  s    c            s±     j  d  t t d  | t t | | t | |  |   t | |  |  |  |  t | | t t | | t | |  |   | | t | |  |  |  |  S(   NiÖ
  i   (   R  RÀ  Rà  R   Rá  Rò  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2774  s    c            s±     j  d  t t d  | t t | | t | |  |   t | |  |  |  |  t | | t t | | t | |  |   | | t | |  |  |  |  S(   Ni×
  i   (   R  RÀ  Rà  R   Rá  Ró  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2775  s    c            sÌ     j  d  t | | t t d  t | | t | |  |   t | |  |  |  |  t | | | | | t t d  t | | t | |  |   | | t | |  |  |  |  S(   NiØ
  i   (   R  RÀ  R   Rà  Rá  Rò  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2776  s    c            sÌ     j  d  t | | t t d  t | | t | |  |   t | |  |  |  |  t | | | | | t t d  t | | t | |  |   | | t | |  |  |  |  S(   NiÙ
  i   (   R  RÀ  R   Rà  Rá  Ró  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2777  s    c            sþ     j  d  t | | | | | | t t d  t | t | |  |   t | | t | |  |   |  |  t | | | | | | t t | | t | |  |   t | t | |  |   | | t | |  |  |  |  S(   NiÚ
  i   (   R  RÀ  R   Rà  Rá  Rò  (   R   R  R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2778  s    c            sþ     j  d  t | | | | | | t t d  t | t | |  |   t | | t | |  |   |  |  t | | | | | | t t | | t | |  |   t | t | |  |   | | t | |  |  |  |  S(   NiÛ
  i   (   R  RÀ  R   Rà  Rá  Ró  (   R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2779¡  s    c            sK    j  d  t t d  t t d  t | |  |  t d   t | t | |  |   t | t | |  |  | | |  t t d  | | | t t t d   t t d  t d  t | |  |   t d   t d  | | |  t | |  |  |  t | | t | |  |   | | |  S(   NiÜ
  i   i   (   R  R€  Rà  Rá  Rô  Rò  R:   R  (   R   R  R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2780Š  s    c            sB    j  d  t t d  t t | |  |  t d   t | t | |  |   t | t | |  |  | | |  t t d  | | | t t t d   t t d  t d  t | |  |   t d   t d  | | |  |  t | | t | |  |   | | t | |  |  |  S(   NiÝ
  i   i   (   R  R€  Rà  Rá  Rô  Ró  R:   R  (   R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2781«  s    c            sõ     j  d  t | | | | | t t d  t | t | |  |   t | | t | |  |   |  |  t | | | | | t t | | t | |  |   t | t | |  |   | | t | |  |  |  |  S(   NiÞ
  i   (   R  RÀ  R   Rà  Rá  Rò  (   R   R  R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2782°  s    c            sõ     j  d  t | | | | | t t d  t | t | |  |   t | | t | |  |   |  |  t | | | | | t t | | t | |  |   t | t | |  |   | | t | |  |  |  |  S(   Niß
  i   (   R  RÀ  R   Rà  Rá  Ró  (   R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2783µ  s    c            så     j  d  t t d  | t t d  t | t | |  |   t | | t | |  |   |  |  t | | | t t | t | |  |   t | | t | |  |   | | t | |  |  |  |  S(   Nià
  i   (   R  RÀ  Rà  R   Rá  Rò  (   R   R  R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2784º  s    c            så     j  d  t t d  | t t d  t | t | |  |   t | | t | |  |   |  |  t | | | t t | t | |  |   t | | t | |  |   | | t | |  |  |  |  S(   Niá
  i   (   R  RÀ  Rà  R   Rá  Ró  (   R   R£  R  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2785¿  s    c            s    j  d  t t d  | | | | | t | | | | | | t | |  |  t | | t | |  |   t | |  |  |  |  t | t d  | | | | | t t | | t | |  |   | | t | |  |  |  |  S(   Niâ
  i   i   (   R  RÀ  Rà  R   Rò  Rá  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2786Ä  s    c            s    j  d  t t d  | | | | | t | | | | | | t | |  |  t | | t | |  |   t | |  |  |  |  t | t d  | | | | | t t | | t | |  |   | | t | |  |  |  |  S(   Niã
  i   i   (   R  RÀ  Rà  R   Ró  Rá  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2787É  s    c            sÅ     j  d  t t d  | t t d  t | | t | |  |   t | |  |  |  |  t | | t t d  t | | t | |  |   | | t | |  |  |  |  S(   Niä
  i   (   R  RÀ  Rà  R   Rá  Rò  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2788Î  s    c            sÅ     j  d  t t d  | t t d  t | | t | |  |   t | |  |  |  |  t | | t t d  t | | t | |  |   | | t | |  |  |  |  S(   Niå
  i   (   R  RÀ  Rà  R   Rá  Ró  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2789Ó  s    c            s×     j  d  t t d  | t t | | t | |  |   t | | t | |  |   t | |  |  |  |  t | | t t | | t | |  |   t | | t | |  |   |  |  S(   Niæ
  i   (   R  RÀ  Rà  R   Rá  Rò  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2790Ø  s    c            s×     j  d  t t d  | t t | | t | |  |   t | | t | |  |   t | |  |  |  |  t | | t t | | t | |  |   t | | t | |  |   |  |  S(   Niç
  i   (   R  RÀ  Rà  R   Rá  Ró  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2791Ý  s    c            s¶     j  d  t t d  | |  t t t d  | | | t d  t d  |  | t | |  |  t | | t | |  |   t | | t | |  |    |  S(   Niè
  i   i   (   R  RÀ  Rà  R*   R   Ró  Rá  Rò  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2792â  s    c            sµ     j  d  t t d  | |  t t t d  | | | t d  t d  |  | t | |  |  t | | t | |  |   t | | t | |  |    |  S(   Nié
  i   i   (   R  RÀ  Rà  R*   R   Rò  Rá  Ró  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2793ç  s    c            sè     j  d  t | | t t | | t | |  |   t | | t | |  |   t | |  |  |  |  t | | | | | t t d  t | | t | |  |   t | | t | |  |   |  |  S(   Niê
  i   (   R  RÀ  R   Rá  Rò  Rà  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2794ì  s    c            sè     j  d  t | | t t | | t | |  |   t | | t | |  |   t | |  |  |  |  t | | | | | t t d  t | | t | |  |   t | | t | |  |   |  |  S(   Nië
  i   (   R  RÀ  R   Rá  Ró  Rà  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2795ñ  s    c            sÁ    j  d  t t d  t | | | | t | |  |  t d  | | t | |  |  | |  t | | | | t | |  |  t d  | | t | |  |  | |  | | t | |  |  t | | | | | | t t | | t | |  |   t | | | | t d   t | | t | |  |    | | | | | | | |  | |  t | | | | t d   t | |  |  |  S(   Niì
  i   i   (	   R  R€  Rà  Rá  Rò  R:   R  R  Ró  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2796ö  s    c            sÀ    j  d  t t d  t | | | | t | |  |  t d  | | t | |  |  | |  t | | | | t | |  |  t d  | | t | |  |  | |  | | t | |  |  t | | | | | | t t | | t | |  |   t | | | | t d   t | | t | |  |    | | | | | | | |  | |  t | | | | t d   t | |  |  |  S(   Nií
  i   i   (	   R  R€  Rà  Rá  Ró  R:   R  R  Rò  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2797û  s    c      
      s     j  d  t t | |  |  t | | t | |  |   t | | t | |  |   t t d  t | |  |  t | |  |  |  |  S(   Niî
  i   (   R  RÀ  Ró  Rá  Rò  R   Rà  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2798   s    c      
      s     j  d  t t | |  |  t | | t | |  |   t | | t | |  |   t t d  t | |  |  t | |  |  |  |  S(   Niï
  i   (   R  RÀ  Rò  Rá  Ró  R   Rà  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2799  s    c            sá     j  d  t t d  | t t | | t | |  |   t | | t | |  |   t | |  |  |  |  t | | t t d  t | | t | |  |   t | | t | |  |   |  |  S(   Nið
  i   (   R  RÀ  Rà  R   Rá  Rò  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2800
  s    c            sá     j  d  t t d  | t t | | t | |  |   t | | t | |  |   t | |  |  |  |  t | | t t d  t | | t | |  |   t | | t | |  |   |  |  S(   Niñ
  i   (   R  RÀ  Rà  R   Rá  Ró  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2801  s    c      	      s     j  d  t t | | t | |  |   t | | t | |  |   t | |  |  t t d  t | |  |  |  |  S(   Niò
  i   (   R  RÀ  Rá  Rò  Ró  R   Rà  Rô  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2802  s    c      	      s     j  d  t t | | t | |  |   t | | t | |  |   t | |  |  t t | |  |  |  |  S(   Nió
  (   R  RÀ  Rá  Ró  Rò  R   Rô  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2803  s    c            sÉ     j  d  t | t t | | t | |  |   t | | t | |  |   t | |  |  |  |  t | t t | | t | |  |   t | | t | |  |   |  |  S(   Niô
  (   R  RÀ  R   Rá  Rò  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2804  s    c            sÉ     j  d  t | t t | | t | |  |   t | | t | |  |   t | |  |  |  |  t | t t | | t | |  |   t | | t | |  |   |  |  S(   Niõ
  (   R  RÀ  R   Rá  Ró  (   R   R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2805#  s    c
   
   	      sf     j  d  t | | | | t | | t |	 | |  | | t |	 | |  |  |  |  S(   Niö
  (   R  RÀ  R   Rò  Rô  (
   R  R¢  R   R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2806(  s    c
   
   	      sp     j  d  t | | | | t | | t |	 | |  | | t d  t |	 | |  |  |  |  S(   Ni÷
  i   (   R  RÀ  R   Ró  Rà  Rô  (
   R  R¢  R   R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2807-  s    c      	      sÚ     j  d  t t | | t |
 | |	   t | | t |
 | |	   | t |
 | |	  t t | |	 |  | | |	 | t d  d | | |	 | t | | |	  |	  |	 t |
 | |	   |	  S(   Niø
  iÿÿÿÿi   (   R  RÀ  Rá  Rò  Ró  R*   R   Rà  (   R  R¢  R   R  R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement28082  s    c      	      sÛ     j  d  t t | | t |
 | |	   t | | t |
 | |	   | t |
 | |	  t t | |	 |  | | |	 | t d  d | | |	 | t | | |	  |	  |	 t |
 | |	   |	  S(   Niù
  iÿÿÿÿi   (   R  RÀ  Rá  Ró  Rò  R*   R   Rà  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement28097  s    c      	      su     j  d  t t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   Niú
  (   R  R   RH  Rò  (   R  R¢  R   R  R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2810<  s    c      	      su     j  d  t t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   Niû
  (   R  R   RH  Ró  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2811A  s    c            sl     j  d  t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  S(   Niü
  (   R  R   Rò  (   R  R¢  R   R  R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2812F  s    c            sl     j  d  t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  S(   Niý
  (   R  R   Ró  (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2813K  s    c      	      s     j  d  t | | | t | t |
 | |	  | | |  | t |
 | |	  | | | t |
 | |	  | | |	  |	  S(   Niþ
  (   R  RÀ  R   Rò  (   R  R¢  R   R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2814P  s    c      	      s     j  d  t | | | t | t |
 | |	  | | |  | t |
 | |	  | | | t |
 | |	  | | |	  |	  S(   Niÿ
  (   R  RÀ  R   Ró  (   R  R¢  R   R  R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2815U  s    c      
      s©     j  d  t | t |
 | |	  |  | t |
 | |	  |  t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   Ni   (   R  RÀ  Rò  R   (   R  R¢  R   R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2816Z  s    c      
      s©     j  d  t | t |
 | |	  |  | t |
 | |	  |  t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   Ni  (   R  RÀ  Ró  R   (   R  R¢  R   R  R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2817_  s    c      
      s     j  d  t | | t | t |
 | |	  | |  | | t |
 | |	  | | t |
 | |	  | | |	  |	  S(   Ni  (   R  RÀ  R   Rò  (   R  R¢  R  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2818d  s    c      
      s     j  d  t | | t | t |
 | |	  | |  | | t |
 | |	  | | t |
 | |	  | | |	  |	  S(   Ni  (   R  RÀ  R   Ró  (   R  R¢  R   R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2819i  s    c
   
         sw     j  d  t | | t |	 | |  | | t |	 | |  | | t d  t |	 | |  | |  |  S(   Ni  i   (   R  R   Rò  Rà  (
   R  R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2820n  s    c
   
         sw     j  d  t | | t |	 | |  | | t |	 | |  | | t d  t |	 | |  | |  |  S(   Ni  i   (   R  R   Ró  Rà  (
   R  R¢  R   R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2821s  s    c      	      s¹     j  d  t | t |
 | |	  |  t d  t |
 | |	  |  t | | t |
 | |	  | | t |
 | |	  | | t d  t |
 | |	  | |  |	  |	  S(   Ni  i   (   R  RÀ  Rò  Rà  R   (   R  R¢  R   R£  R  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2822x  s    c      	      s¹     j  d  t | t |
 | |	  |  t d  t |
 | |	  |  t | | t |
 | |	  | | t |
 | |	  | | t d  t |
 | |	  | |  |	  |	  S(   Ni  i   (   R  RÀ  Ró  Rà  R   (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2823}  s    c      
      sÐ     j  d  t | t |
 | |	  | | | t |
 | |	  | | t |
 | |	  | | t | t |
 | |	  | |  | | t |
 | |	  | | t |
 | |	  | | |	  |	  S(   Ni  (   R  RÀ  Rò  R   (   R  R¢  R   R  R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2824  s    c      
      sÐ     j  d  t | t |
 | |	  | | | t |
 | |	  | | t |
 | |	  | | t | t |
 | |	  | |  | | t |
 | |	  | | t |
 | |	  | | |	  |	  S(   Ni	  (   R  RÀ  Ró  R   (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2825  s    c      	      s     j  d  t | | | t | t |
 | |	  | | |  | t |
 | |	  | | | t |
 | |	  | | |	  |	  S(   Ni
  (   R  RÀ  R   Rò  (   R  R¢  R   R  R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2826  s    c      	      s     j  d  t | | | t | t |
 | |	  | | |  | t |
 | |	  | | | t |
 | |	  | | |	  |	  S(   Ni  (   R  RÀ  R   Ró  (   R  R¢  R   R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2827  s    c      
      s©     j  d  t | t |
 | |	  |  | t |
 | |	  |  t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   Ni  (   R  RÀ  Rò  R   (   R  R¢  R   R  R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2828  s    c      
      s©     j  d  t | t |
 | |	  |  | t |
 | |	  |  t | t |
 | |	  |  | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   Ni  (   R  RÀ  Ró  R   (   R  R¢  R   R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2829  s    c      
      s     j  d  t | | t | t |
 | |	  | |  | | t |
 | |	  | | t |
 | |	  | | |	  |	  S(   Ni  (   R  RÀ  R   Rò  (   R  R¢  R   R  R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2830   s    c      
      s     j  d  t | | t | t |
 | |	  | |  | | t |
 | |	  | | t |
 | |	  | | |	  |	  S(   Ni  (   R  RÀ  R   Ró  (   R  R¢  R   R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2831¥  s    c
   
         sm     j  d  t | | t |	 | |  | | t |	 | |  | | t |	 | |  | |  |  S(   Ni  (   R  R   Rò  (
   R  R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2832ª  s    c
   
         sm     j  d  t | | t |	 | |  | | t |	 | |  | | t |	 | |  | |  |  S(   Ni  (   R  R   Ró  (
   R  R¢  R   R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2833¯  s    c      	      s¥     j  d  t | t |
 | |	  |  t |
 | |	  |  t | | t |
 | |	  | | t |
 | |	  | | t |
 | |	  | |  |	  |	  S(   Ni  (   R  RÀ  Rò  R   (   R  R¢  R   R  R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2834Ž  s    c      	      s¥     j  d  t | t |
 | |	  |  t |
 | |	  |  t | | t |
 | |	  | | t |
 | |	  | | t |
 | |	  | |  |	  |	  S(   Ni  (   R  RÀ  Ró  R   (   R  R¢  R   R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2835¹  s    c      
      sÐ     j  d  t | t |
 | |	  | | | t |
 | |	  | | t |
 | |	  | | t | t |
 | |	  | |  | | t |
 | |	  | | t |
 | |	  | | |	  |	  S(   Ni  (   R  RÀ  Rò  R   (   R  R¢  R   R  R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2836Ÿ  s    c      
      sÐ     j  d  t | t |
 | |	  | | | t |
 | |	  | | t |
 | |	  | | t | t |
 | |	  | |  | | t |
 | |	  | | t |
 | |	  | | |	  |	  S(   Ni  (   R  RÀ  Ró  R   (   R  R¢  R   R£  R  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2837Ã  s    t   At   Bc	   	   	      sm     j  d  t t | |  t | | |  | | t | | |  | t | | |  | |  |  S(   Ni  (   R  R   RH  Rò  (	   RN  R¢  R   R£  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2838È  s    c	   	   	      sm     j  d  t t | |  t | | |  | | t | | |  | t | | |  | |  |  S(   Ni  (   R  R   RH  Ró  (	   RN  R¡  R¢  R   R£  R  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2839Í  s    c      
      s     j  d  t | | | | t |
 |  t | | |	  | | t | | |	  | | t | | |	  t d  | |	  |	  S(   Ni  i   (   R  RÀ  R   Rò  Ró  Rà  (   RN  R¡  R¢  R   R£  RÁ  R  R€  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2840Ò  s    c      
      s     j  d  t | | | | t | |  t |
 | |	  | | t |
 | |	  | | t |
 | |	  t d  | |	  |	  S(   Ni  i   (   R  RÀ  R   Ró  Rò  Rà  (   RN  R¢  R   R£  RÁ  R  R€  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2841×  s    c
   
         s     j  d  t | | t |	 | |  | | | |  | t |	 | |  t d  | | |  | t |	 | |  |  S(   Ni  i   (   R  R   Rò  Rà  (
   RN  R¢  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2842Ü  s    c
   
         s     j  d  t | | t |	 | |  | | | |  | t |	 | |  t d  | | |  | t |	 | |  |  S(   Ni  i   (   R  R   Ró  Rà  (
   RN  R¢  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2843á  s    c	   	         só     j  d  t | | |  | t d  | | t t | | t | | |   t | | t | | |   |  |  t | | |  | t d  | | t t | | t | | |   t | | t | | |   |  |  S(   Ni  i   (   R  RÀ  Rà  R   Rá  Rò  (	   RN  R¡  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2844æ  s    c	   	         só     j  d  t | | |  | t d  | | t t | | t | | |   t | | t | | |   |  |  t | | |  | t d  | | t t | | t | | |   t | | t | | |   |  |  S(   Ni  i   (   R  RÀ  Rà  R   Rá  Ró  (	   RN  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2845ë  s    c            s     j  d  t |  | | t | | |	  | | | t | | |	  | t | | |	  | | | t d  |	  S(   Ni  i   (   R  R€  Rò  Ró  Rà  (   RN  R¡  R¢  R   R£  RÁ  R  R€  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2846ð  s    c            s~     j  d  t |  | | t |
 | |	  | | | t |
 | |	  | t |
 | |	  | | | t d  |	  S(   Ni  i   (   R  R€  Ró  Rò  Rà  (   RN  R¢  R   R£  RÁ  R  R€  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2847õ  s    c
   
         sÒ     j  d  t |  | t t | | t | | |   | | t | | |  | t d  |  |  t |	 | |  | | t t | | t | | |   | | t | | |  | |  |  S(   Ni   i   (   R  RÀ  R   Rá  Rò  Rà  (
   RN  R¡  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2848ú  s    c
   
         sÒ     j  d  t |  | t t | | t | | |   | | t | | |  | t d  |  |  t |	 | |  | | t t | | t | | |   | | t | | |  | |  |  S(   Ni!  i   (   R  RÀ  R   Rá  Ró  Rà  (
   RN  R¡  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2849ÿ  s    c      
      s5    j  d  t |
 | | | t d  |  | | | | | t d  | t d  t | | t | | |	  | t d  | | t | | |	  | |	  |	  t | | t | | |	  | | | t | | |	  | |
 | |  | t | | |	  | | t d  | t d  |	  S(   Ni"  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R¡  R¢  R   R£  RÁ  R  R€  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2850  s    c      
      s5    j  d  t | | | | t d  |  | | | | | t d  | t d  t | | t |
 | |	  | t d  | | t |
 | |	  | |	  |	  t | | t |
 | |	  | | | t |
 | |	  | | | |  | t |
 | |	  | | t d  | t d  |	  S(   Ni#  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R¢  R   R£  RÁ  R  R€  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2851	  s    c      
      s    j  d  t |
 | | | t d  |  | | | | | | t d  t | | t | | |	  | | | t | | |	  | |	  |	  t |  | | t | | |	  | | | t | | |	  | t | | |	  | | | t d  |	  S(   Ni$  i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2852  s    c      
      s    j  d  t | | | | t d  |  | | | | | | t d  t | | t |
 | |	  | | | t |
 | |	  | |	  |	  t |  | | t |
 | |	  | | | t |
 | |	  | t |
 | |	  | | | t d  |	  S(   Ni%  i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R¢  R   R£  RÁ  R  RÂ  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2853  s    c            s­     j  d  t | | t | | |	  | | | t | | |	  | t d  |
 | |  | t | | |	  | | t d  | t d  | t d  |	  S(   Ni&  i   i   (   R  R€  Rò  Rà  Ró  (   RN  R¡  R¢  R   R£  RÁ  RÂ  R  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2854  s    c            s®     j  d  t | | t |
 | |	  | | | t |
 | |	  | t d  | | |  | t |
 | |	  | | t d  | t d  | t d  |	  S(   Ni'  i   i   (   R  R€  Ró  Rà  Rò  (   RN  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2855  s    c            só    j  d  t | | | t d  | | | | t | | t | | |	  | t d  | | t | | |	  | t d  t |
 | | | | t d  |  | | | t d  | | | t d  |
 | | | | t d  |  | | | t d  | | | t | | |	  |	  |	  |	  t | t d  | | t | | |	  | t d  | | t | | |	  | t d  |
 | |  | t | | |	  | | | t d  | | | | |	  S(   Ni(  i   iÿÿÿÿiþÿÿÿi   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R¡  R¢  R   R£  RÁ  RÂ  R  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2856"  s    c            só    j  d  t | | | t d  | | | | t | | t |
 | |	  | t d  | | t |
 | |	  | t d  t | | | | | t d  |  | | | t d  | | | t d  | | | | | t d  |  | | | t d  | | | t |
 | |	  |	  |	  |	  t | t d  | | t |
 | |	  | t d  | | t |
 | |	  | t d  | | |  | t |
 | |	  | | | t d  | | | | |	  S(   Ni)  i   iÿÿÿÿiþÿÿÿi   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2857'  s    c            sÃ    j  d  t t d  | | | t d  t | | t | | |	  | t d  | | t | | |	  | t |
 | | | | t d  |  | | | t d  | | | t d  |
 | | | | t d  |  | | t d  | | | | | t | | |	  |	  |	  |	  t |  | | | t | | |	  | t d  | | t | | |	  | t d  t | | |	  | | | | t d  |	  S(   Ni*  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R¡  R¢  R   R£  RÁ  RÂ  R  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2858,  s    c            sÃ    j  d  t t d  | | | t d  t | | t |
 | |	  | t d  | | t |
 | |	  | t | | | | | t d  |  | | | t d  | | | t d  | | | | | t d  |  | | t d  | | | | | t |
 | |	  |	  |	  |	  t |  | | | t |
 | |	  | t d  | | t |
 | |	  | t d  t |
 | |	  | | | | t d  |	  S(   Ni+  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement28591  s    c            s«    j  d  t t d  | | t d  | t d  t | | t | | |	  | t d  | | t | | |	  | t d  t |
 | | | | | | t d  |  | | | | | | | |
 | | | t d  |  | | | t | | |	  |	  |	  |	  t | | t | | |	  | | | t | | |	  | |
 | |  | t | | |	  | | t d  | t d  |	  S(   Ni,  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R¡  R¢  R   R£  RÁ  RÂ  R  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement28606  s    c            s«    j  d  t t d  | | t d  | t d  t | | t |
 | |	  | t d  | | t |
 | |	  | t d  t | | | | | | | t d  |  | | | | | | | | | | | t d  |  | | | t |
 | |	  |	  |	  |	  t | | t |
 | |	  | | | t |
 | |	  | | | |  | t |
 | |	  | | t d  | t d  |	  S(   Ni-  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2861;  s    c            sç    j  d  t t d  | t d  | t d  | | | | t | | t | | |	  | t d  | | t | | |	  | t |
 | | t d  | | t d  | | | t d  |  | | | | | | t d  | |
 | |  | | | t d  t | | |	  |	  |	  |	  t | | | t | | |	  | | | t | | |	  | t d  |
 | |  | t | | |	  | | t d  | t d  | | | | |	  S(   Ni.  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R¡  R¢  R   R£  RÁ  RÂ  R  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2862@  s    c            sç    j  d  t t d  | t d  | t d  | | | | t | | t |
 | |	  | t d  | | t |
 | |	  | t | | | t d  | | t d  | | | t d  |  | | | | | | t d  | | | |  | | | t d  t |
 | |	  |	  |	  |	  t | | | t |
 | |	  | | | t |
 | |	  | t d  | | |  | t |
 | |	  | | t d  | t d  | | | | |	  S(   Ni/  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2863E  s    c
   
   
      s£     j  d  t t d  |  | | | t | | |  | t d  t | | |  | | t | | t | | |   t d  | t d  |  S(   Ni0  i   i   i   (   R  R€  Rà  Rò  Ró  Rá  (
   RN  R¡  R   R£  RÁ  RÂ  R  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2864J  s    c
   
   
      s¢     j  d  t t d  |  | | | t |	 | |  | t d  t |	 | |  | | t | | t |	 | |   t d  | t d  |  S(   Ni1  i   i   i   (   R  R€  Rà  Ró  Rò  Rá  (
   RN  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2865O  s    c
   
         s    j  d  t |	 | | t d  | t d  |  t d  | | | t d  | | t d  | | t d  | | | | t t | | t | | |   | | t | | |  | t d  |  |  t | t d  | | t | | |  | t d  |	 | |  | t | | |  | | t | | t | | |   | t d  | | | | |  S(   Ni2  i   i   i   (   R  RÀ  Rà  R   Rá  Rò  R€  Ró  (
   RN  R¡  R   R£  RÁ  RÂ  R  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2866T  s    c
   
         s    j  d  t | | | t d  | t d  |  t d  | | | t d  | | t d  | | t d  | | | | t t | | t |	 | |   | | t |	 | |  | t d  |  |  t | t d  | | t |	 | |  | t d  | | |  | t |	 | |  | | t | | t |	 | |   | t d  | | | | |  S(   Ni3  i   i   i   (   R  RÀ  Rà  R   Rá  Ró  R€  Rò  (
   RN  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2867Y  s    c
   
         sc    j  d  t |	 | | t d  | t d  |  t d  | | | t d  | | | | t d  | t d  t t | | t | | |   | | t | | |  | |  |  t t d  |  | | | t | | |  | t d  t | | |  | | t | | t | | |   t d  | t d  |  S(   Ni4  i   i   i   (   R  RÀ  Rà  R   Rá  Rò  R€  Ró  (
   RN  R¡  R   R£  RÁ  RÂ  R  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2868^  s    c
   
         sb    j  d  t | | | t d  | t d  |  t d  | | | t d  | | | | t d  | t d  t t | | t |	 | |   | | t |	 | |  | |  |  t t d  |  | | | t |	 | |  | t d  t |	 | |  | | t | | t |	 | |   t d  | t d  |  S(   Ni5  i   i   i   (   R  RÀ  Rà  R   Rá  Ró  R€  Rò  (
   RN  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2869c  s    c	   	         sÕ     j  d  t |  | t t | | t | | |   t | | t | | |   |  |  t | | |  | | t t d  t | | t | | |   t | | t | | |   |  |  S(   Ni6  i   (   R  RÀ  R   Rá  Rò  Rà  (	   RN  R¡  R   R£  RÁ  RÂ  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2870h  s    c	   	         sÕ     j  d  t |  | t t | | t | | |   t | | t | | |   |  |  t | | |  | | t t d  t | | t | | |   t | | t | | |   |  |  S(   Ni7  i   (   R  RÀ  R   Rá  Ró  Rà  (	   RN  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2871m  s    c            s    j  d  t t d  | | | t d  t | | t | | |	  | | | t | | |	  | t d  t |
 | | | | t d  |  | | | | | | |
 | | | | t d  |  | | | | | | t | | |	  |	  |	  |	  t |  | | t | | |	  | | | t | | |	  | t | | |	  | | | t d  |	  S(   Ni8  i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R¡  R¢  R   R£  RÁ  RÂ  R  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2872r  s    c            s    j  d  t t d  | | | t d  t | | t |
 | |	  | | | t |
 | |	  | t d  t | | | | | t d  |  | | | | | | | | | | | t d  |  | | | | | | t |
 | |	  |	  |	  |	  t |  | | t |
 | |	  | | | t |
 | |	  | t |
 | |	  | | | t d  |	  S(   Ni9  i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2873w  s    c            sÊ    j  d  t t d  | | t d  | t d  | t d  t | | t | | |	  | | | t | | |	  | t d  t |
 | | | | | | t d  |  | | | | | | t d  | |
 | |  | | | t d  t | | |	  |	  |	  |	  t | | t | | |	  | | | t | | |	  | t d  |
 | |  | t | | |	  | | t d  | t d  | t d  |	  S(   Ni:  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R¡  R¢  R   R£  RÁ  RÂ  R  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2874|  s    c            sÊ    j  d  t t d  | | t d  | t d  | t d  t | | t |
 | |	  | | | t |
 | |	  | t d  t | | | | | | | t d  |  | | | | | | t d  | | | |  | | | t d  t |
 | |	  |	  |	  |	  t | | t |
 | |	  | | | t |
 | |	  | t d  | | |  | t |
 | |	  | | t d  | t d  | t d  |	  S(   Ni;  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2875  s    c	   	         sÖ     j  d  t | | |  | | | | | t t d  t | | t | | |   |  |  t | | |  | | | | | t t | | t | | |   | | t | | |  |  |  S(   Ni<  i   (   R  RÀ  R   Rà  Rá  Rò  (	   RN  R¡  R   R£  RÁ  RÂ  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2876  s    c	   	         sÖ     j  d  t | | |  | | | | | t t d  t | | t | | |   |  |  t | | |  | | | | | t t | | t | | |   | | t | | |  |  |  S(   Ni=  i   (   R  RÀ  R   Rà  Rá  Ró  (	   RN  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2877  s    c
   
         s¢     j  d  t |  | t | | t | | |  | |  |  t |	 | |  | | t | | t | | |  | | | t | | |  |  |  S(   Ni>  (   R  RÀ  R   Rò  (
   RN  R¡  R¢  R   R£  RÁ  RÂ  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2878  s    c
   
         s¢     j  d  t |  | t | | t |	 | |  | |  |  t | | |  | | t | | t |	 | |  | | | t |	 | |  |  |  S(   Ni?  (   R  RÀ  R   Ró  (
   RN  R¢  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2879  s    c            sÍ     j  d  t |  | t | | t | | |	  | t d  | | t | | |	  | |	  |	  t |
 | |  | | t | | t | | |	  | | | t | | |	  | |	  |	  S(   Ni@  i   (   R  RÀ  R   Rò  Rà  (   RN  R¡  R¢  R   R£  RÁ  RÂ  R  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2880  s    c            sÍ     j  d  t |  | t | | t |
 | |	  | t d  | | t |
 | |	  | |	  |	  t | | |  | | t | | t |
 | |	  | | | t |
 | |	  | |	  |	  S(   NiA  i   (   R  RÀ  R   Ró  Rà  (   RN  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2881  s    c            s"    j  d  t t d  | | t d  | t d  | t d  t | | t | | |	  | t d  | | t | | |	  | t d  t | | | t d  |
 | | |  | | | |
 | |  | | | t d  |
 | |  | | | | | | |  | | t d  | | t d  | t d  | | | t d  |
 | | |
 | | |  | | t | | |	  t d  | | t d  |
 | |  | | | | | | | t d  | |
 | | |  | t d  t d  | t d  | | |
 | |  | t | | |	  |	  |	  |	  t | | t | | |	  | t d  | | t | | |	  | t d  |
 | |  | | | | | t | | |	  | | | t d  | t d  | t d  |	  S(   NiB  i   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2882€  s    c            s"    j  d  t t d  | | t d  | t d  | t d  t | | t | | |	  | t d  | | t | | |	  | t d  t | | | t d  |
 | | |  | | | |
 | |  | | | t d  |
 | |  | | | | | | |  | | t d  | | t d  | t d  | | | t d  |
 | | |
 | | |  | | t | | |	  t d  | | t d  |
 | |  | | | | | | | t d  | |
 | | |  | t d  t d  | t d  | | |
 | |  | t | | |	  |	  |	  |	  t | | t | | |	  | t d  | | t | | |	  | t d  |
 | |  | | | | | t | | |	  | | | t d  | t d  | t d  |	  S(   NiC  i   i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2883©  s    c            sF    j  d  t t d  | | | t d  t | | t | | |	  | t d  | | t | | |	  | t |
 | t d  | | | t d  |  | | | | t d  | | | t d  | |
 | | | | t d  |  | | t d  | | | | | t | | |	  t d  |  | | | | | | | | | t d  |
 | |  | | | t d  t | | |	  |	  |	  |	  t |  | | | t | | |	  | t d  | | t | | |	  | t d  t | | |	  | | | | t d  |	  S(   NiD  i   iþÿÿÿi   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2884®  s    c            sF    j  d  t t d  | | | t d  t | | t | | |	  | t d  | | t | | |	  | t |
 | t d  | | | t d  |  | | | | t d  | | | t d  | |
 | | | | t d  |  | | t d  | | | | | t | | |	  t d  |  | | | | | | | | | t d  |
 | |  | | | t d  t | | |	  |	  |	  |	  t |  | | | t | | |	  | t d  | | t | | |	  | t d  t | | |	  | | | | t d  |	  S(   NiE  i   iþÿÿÿi   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2885³  s    c            sç     j  d  t |  | | t d  t t | t | | |   t | | t | | |   |  |  t | | | | |  | t | | |  | t | | |  t d  d t | | t | | |   |  S(   NiF  i   i   (   R  RÀ  Rà  R   Rá  Rò  (   RN  R¡  R   R£  RÁ  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2886ž  s    c            sç     j  d  t |  | | t d  t t | t | | |   t | | t | | |   |  |  t | | | | |  | t | | |  | t | | |  t d  d t | | t | | |   |  S(   NiG  i   i   (   R  RÀ  Rà  R   Rá  Ró  (   RN  R¡  R   R£  RÁ  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2887œ  s    c	   	         sÓ     j  d  t |  | t t | | t | | |   t | | t | | |   |  |  t | | |  | | t t | | t | | |   | | t | | |  t d  d |  |  S(   NiH  i   i   (   R  RÀ  R   Rá  Rò  Rà  (	   RN  R¡  R   R£  RÁ  RÂ  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2888Â  s    c	   	         sÓ     j  d  t |  | t t | | t | | |   t | | t | | |   |  |  t | | |  | | t t | | t | | |   | | t | | |  t d  d |  |  S(   NiI  i   i   (   R  RÀ  R   Rá  Ró  Rà  (	   RN  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2889Ç  s    c            sE    j  d  t | | t d  | t d  t | | |  | | | |  | t | | |  | t | | |  t d  d t | | t | | |   |  |  t t d  | | |  | t | | |  | t | t | | |   t | | t | | |   | t d  | t d  |  S(   NiJ  i   i   (   R  RÀ  Rà  R   Rò  Rá  R€  Ró  (   RN  R¡  R   R£  RÁ  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2890Ì  s    c            sF    j  d  t | | t d  | t d  t | | |  | | | |  | t | | |  | t | | |  t d  d t | | t | | |   |  |  t t d  | | |  | t | | |  | t | t | | |   t | | t | | |   | t d  | t d  |  S(   NiK  i   i   (   R  RÀ  Rà  R   Ró  Rá  R€  Rò  (   RN  R   R£  RÁ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2891Ñ  s    c            sS    j  d  t t d  | t | t d  t d  t | | |  | |  t | t d  t d  t | | |  | |  | | t t t | | t | | |   t | t | | |   t | | | t d    | | | |  t | | | t d   t | | |  | | t d  | |  S(   NiL  i   i   (	   R  R€  Rà  Rá  Rò  R;   R  R  Rô  (   RN  R   R£  RÁ  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2892Ö  s    c            sR    j  d  t t d  | t | t d  t d  t | | |  | |  t | t d  t d  t | | |  | |  | | t t t | | t | | |   t | t | | |   t | | | t d    | | | |  t | | | t d   | | t d  | t | | |  |  S(   NiM  i   i   (	   R  R€  Rà  Rá  Ró  R;   R  R  Rô  (   RN  R   R£  RÁ  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2893Û  s    c            s·     j  d  t t | t | | |   t | t | | |   t | |  t | | |  | t | | |  t d  d t | | t | | |   |  |  S(   NiN  i   i   (   R  RÀ  Rá  Rò  R   Rà  (   RN  R   R£  RÁ  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2894à  s    c            s·     j  d  t t | t | | |   t | t | | |   t | |  t | | |  | t | | |  t d  d t | | t | | |   |  |  S(   NiO  i   i   (   R  RÀ  Rá  Ró  R   Rà  (   RN  R   R£  RÁ  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2895å  s    c	   	         sÍ    j  d  t t d  | t | | | | t | | |  t d  | | t | | |  | |  t | | | | t | | |  t d  | | t | | |  | |  | | t | | |  | | t t t | | t | | |   t | | | | t d   t | | t | | |    | | | | | | | |  | | | | | t d  t | | | | t d   t | | |  |  S(   NiP  i   i   (	   R  R€  Rà  Rá  Rò  R;   R  R  Ró  (	   RN  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2896ê  s    c	   	         sÌ    j  d  t t d  | t | | | | t | | |  t d  | | t | | |  | |  t | | | | t | | |  t d  | | t | | |  | |  | | t | | |  | | t t t | | t | | |   t | | | | t d   t | | t | | |    | | | | | | | |  | | | | | t d  t | | | | t d   t | | |  |  S(   NiQ  i   i   (	   R  R€  Rà  Rá  Ró  R;   R  R  Rò  (	   RN  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2897ï  s    c	   	         sÂ     j  d  t t | | t | | |   t | | t | | |   t | |  t | | |  | | t | | |  t d  d t | | t | | |   |  |  S(   NiR  i   i   (   R  RÀ  Rá  Rò  R   Rà  (	   RN  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2898ô  s    c	   	         sÂ     j  d  t t | | t | | |   t | | t | | |   t | |  t | | |  | | t | | |  t d  d t | | t | | |   |  |  S(   NiS  i   i   (   R  RÀ  Rá  Ró  R   Rà  (	   RN  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2899ù  s    c	   	         s    j  d  t | |  | | t t d  t | | t | | |   t | | t | | |   |  |  t | | |  | | | t t | | |  t d  | | t | | |  t d  d t | | t | | |   |  |  S(   NiT  i   i   i   (   R  RÀ  R   Rà  Rá  Rò  (	   RN  R¡  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2900þ  s    c	   	         s    j  d  t | |  | | t t d  t | | t | | |   t | | t | | |   |  |  t | | |  | | | t t | | |  t d  | | t | | |  t d  d t | | t | | |   |  |  S(   NiU  i   i   i   (   R  RÀ  R   Rà  Rá  Ró  (	   RN  R¡  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2901  s    c            s    j  d  t t d  | t d  | t d  | t d  t | | t | | |	  | t d  | | t | | |	  | t d  t | | t d  |
 | |  | | | |
 | |  | | |
 | |  | | | t d  t | | |	  t d  | | t d  |
 | |  | | | t d  |
 | |  | t | | |	  |	  |	  |	  t | | t | | |	  | t d  | | t | | |	  | |
 | |  | t | | |	  | | t d  | t d  | t d  |	  S(   NiV  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2902  s    c            s    j  d  t t d  | t d  | t d  | t d  t | | t | | |	  | t d  | | t | | |	  | t d  t | | t d  |
 | |  | | | |
 | |  | | |
 | |  | | | t d  t | | |	  t d  | | t d  |
 | |  | | | t d  |
 | |  | t | | |	  |	  |	  |	  t | | t | | |	  | t d  | | t | | |	  | |
 | |  | t | | |	  | | t d  | t d  | t d  |	  S(   NiW  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2903  s    c            sg    j  d  t t d  | t d  | t d  | t d  | | | | t | | t | | |	  | t d  | | t | | |	  | t | | |
 | |  | | | t d  | | |
 | |  | | | t d  t | | |	  t d  | t d  |
 | |  | | | | | |
 | |  | | | | t d  | | | t d  t | | |	  |	  |	  |	  t | | t | | |	  | t d  | | t | | |	  | t d  |
 | t d  |  | | t | | |	  | | t d  | t d  | t d  | | | | |	  S(   NiX  i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2904  s    c            sg    j  d  t t d  | t d  | t d  | t d  | | | | t | | t | | |	  | t d  | | t | | |	  | t | | |
 | |  | | | t d  | | |
 | |  | | | t d  t | | |	  t d  | t d  |
 | |  | | | | | |
 | |  | | | | t d  | | | t d  t | | |	  |	  |	  |	  t | | t | | |	  | t d  | | t | | |	  | t d  |
 | t d  |  | | t | | |	  | | t d  | t d  | t d  | | | | |	  S(   NiY  i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2905  s    c	   	         sº     j  d  t | | |  | | | | | t t d  | | t | | |  |  |  t | | |  | | | | | t t d  | | t | | |  |  |  S(   NiZ  i   (   R  RÀ  R   Rà  Rò  (	   RN  R¡  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2906  s    c	   	         sº     j  d  t | | |  | | | | | t t d  | | t | | |  |  |  t | | |  | | | | | t t d  | | t | | |  |  |  S(   Ni[  i   (   R  RÀ  R   Rà  Ró  (	   RN  R¡  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2907!  s    c
   
         s¢     j  d  t |  | t | | t | | |  | |  |  t |	 | |  | | t | | t | | |  | | | t | | |  |  |  S(   Ni\  (   R  RÀ  R   Rò  (
   RN  R¡  R¢  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2908&  s    c
   
         s¢     j  d  t |  | t | | t | | |  | |  |  t |	 | |  | | t | | t | | |  | | | t | | |  |  |  S(   Ni]  (   R  RÀ  R   Ró  (
   RN  R¡  R¢  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2909+  s    c
   
         s'    j  d  t t d  t d  | t d  t | | t | | |  | t d  t |	 | | t d  | t d  |  t d  | | | | | |	 t d  | t d  | | | | |  t d  | t d  | | | | t | | |  |	 | | t d  | t d  |  | | t d  | | | t | | |  t d  |  t | | t | | |   |  |  t t d  |  t | | t | | |   | | t | | |  | t | | |  | t d  | t d  |  S(   Ni^  i   i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Rá  Ró  (
   RN  R¡  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement29100  s    c
   
         s&    j  d  t t d  t d  | t d  t | | t | | |  | t d  t |	 | | t d  | t d  |  t d  | | | | | |	 t d  | t d  | | | | |  t d  | t d  | | | | t | | |  |	 | | t d  | t d  |  | | t d  | | | t | | |  t d  |  t | | t | | |   |  |  t t d  |  t | | t | | |   | | t | | |  | t | | |  | t d  | t d  |  S(   Ni_  i   i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rá  Rò  (
   RN  R¡  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement29115  s    c      
      s     j  d  t t d  | t t d  t t | | |  t | | |  t d   | | | |  | t | |  |  S(   Ni`  i   iÿÿÿÿi   (   R  R€  Rà  R:   R  Ró  Rò  Rá  (   RN  R   R£  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2912:  s    c      
      s     j  d  t t d  | t t d  t t | | |  t | | |  t d   | | | |  | t | |  |  S(   Nia  i   iÿÿÿÿi   (   R  R€  Rà  R:   R  Rò  Ró  Rá  (   RN  R   R£  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2913?  s    c            s€     j  d  t t t | | |   t | t | | |   t | |  t | | |  t | | t | | |   t t | | |   |  |  S(   Nib  (   R  RÀ  Rá  Rò  R   (   RN  R   R£  RÁ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2914D  s    c            s€     j  d  t t t | | |   t | t | | |   t | |  t | | |  t | | t | | |   t t | | |   |  |  S(   Nic  (   R  RÀ  Rá  Ró  R   (   RN  R   R£  RÁ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2915I  s    c	   	         sÖ     j  d  t |  | t t | | t | | |   t | | t | | |   |  |  t | | |  | | t t d  t | | t | | |   t | | t | | |   |  |  S(   Nid  i   (   R  RÀ  R   Rá  Rò  Rà  (	   RN  R¡  R   R£  RÁ  RÂ  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2916N  s    c	   	         sÖ     j  d  t |  | t t | | t | | |   t | | t | | |   |  |  t | | |  | | t t d  t | | t | | |   t | | t | | |   |  |  S(   Nie  i   (   R  RÀ  R   Rá  Ró  Rà  (	   RN  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2917S  s    c            sl     j  d  t |
 |  t | | |	  | | t | | |	  | | | t | | |	  | |	  S(   Nif  (   R  R   Rò  (   RN  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2918X  s    c            sl     j  d  t |
 |  t | | |	  | | t | | |	  | | | t | | |	  | |	  S(   Nig  (   R  R   Ró  (   RN  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2919]  s    c      	      sÚ     j  d  t t | | t | | |
   t |	 | t | | |
   | t | | |
  t t | |  |
 | | | |
 | t d  d |	 | |
 | t d  d |
  |
 t | | |
   |
  S(   Nih  iÿÿÿÿi   (   R  RÀ  Rá  Rò  Ró  R*   R   Rà  (   RN  R  R¡  R¢  R   R£  RÁ  R  R€  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2920b  s    c      	      sÛ     j  d  t t | | t | | |
   t | | t | | |
   | t | | |
  t t |	 |  |
 | | | |
 | t d  d | | |
 | t d  d |
  |
 t | | |
   |
  S(   Nii  iÿÿÿÿi   (   R  RÀ  Rá  Ró  Rò  R*   R   Rà  (   RN  R  R¢  R   R£  RÁ  R  R€  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2921g  s    t   Cc      
      sj     j  d  t t d  | t | t | | |  | t d  |  | t | | |  |  |  S(   Nij  i   (   R  RÀ  Rà  R   Rò  (   RN  R£  R¢  R   R£  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2922l  s    c      
      sj     j  d  t t d  | t | t | | |  | t d  |  | t | | |  |  |  S(   Nik  i   (   R  RÀ  Rà  R   Ró  (   RN  R£  R¢  R   R£  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2923q  s    c      
      s     j  d  t t d  | t t | t d  t d  | t d  t d  d | |  | t d  |  |  | t | | |   |  S(   Nil  i   i   iÿÿÿÿ(   R  RÀ  Rà  R*   R   Ró  (   R£  R¢  R   RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2924v  s    c      
      s     j  d  t t d  | t t | t d  t d  | t d  t d  d | |  | t d  |  |  | t | | |   |  S(   Nim  i   i   iÿÿÿÿ(   R  RÀ  Rà  R*   R   Rò  (   R£  R¢  R   RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2925{  s    c            sf     j  d  t | | t | | |  | t d  t | | |  | | | t d  |  S(   Nin  i   (   R  R€  Rò  Rà  Ró  (   R£  R¢  R   R£  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2926  s    c            sg     j  d  t | | t | | |  | t d  t | | |  | | | t d  |  S(   Nio  i   (   R  R€  Ró  Rà  Rò  (   R£  R¢  R   R£  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2927  s    c            sÛ     j  d  t | | t d  |  | t d  | t d  | t d  t | t | | |  | t d  |  |  t | | t | | |  | t d  t | | |  | | | t d  |  S(   Nip  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  R¢  R   R£  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2928  s    c            sÛ     j  d  t | | t d  |  | t d  | t d  | t d  t | t | | |  | t d  |  |  t | | t | | |  | t d  t | | |  | | | t d  |  S(   Niq  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  R¢  R   R£  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2929  s    c            sÃ     j  d  t | | t d  |  | t d  | t d  t | t | | |  | |  |  t |  | t | | |  | t d  t | | |  | | | t d  |  S(   Nir  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  R¢  R   R£  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2930  s    c            sÃ     j  d  t | | t d  |  | t d  | t d  t | t | | |  | |  |  t |  | t | | |  | t d  t | | |  | | | t d  |  S(   Nis  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  R¢  R   R£  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2931  s    c	   	         s     j  d  t | t d  t | | t | | |  | t d  t |  | | | | | t | | |  |  |  |  S(   Nit  iþÿÿÿi   (   R  RÀ  Rà  R   Rò  R€  (	   RN  R£  R¡  R¢  R   R£  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2932  s    c	   	         s     j  d  t | t d  t | | t | | |  | t d  t |  | | | | | t | | |  |  |  |  S(   Niu  iþÿÿÿi   (   R  RÀ  Rà  R   Ró  R€  (	   RN  R£  R¢  R   R£  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2933£  s    c            s|     j  d  t |  | t d  t | | t | | |  | t d  t | | t | | |  |  |  |  S(   Niv  i   i   (   R  RÀ  Rà  R   Rò  R€  (   R£  R¡  R¢  R   R£  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2934š  s    c            s|     j  d  t |  | t d  t | | t | | |  | t d  t | | t | | |  |  |  |  S(   Niw  i   i   (   R  RÀ  Rà  R   Ró  R€  (   R£  R¢  R   R£  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2935­  s    c	   	   
      s¹     j  d  t | t | | t | | |  | t | | |  t d  t d  |  |  t | | t | | t | | |  | t | | |  t d  |  |  S(   Nix  i   i   (   R  RÀ  R   Rò  Rà  (	   RN  R£  R¡  R¢  R   R£  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2936²  s    c	   	   
      s¹     j  d  t | t | | t | | |  | t | | |  t d  t d  |  |  t | | t | | t | | |  | t | | |  t d  |  |  S(   Niy  i   i   (   R  RÀ  R   Ró  Rà  (	   RN  R£  R¢  R   R£  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2937·  s    c      
      s¹     j  d  t |  t | | t | | |  | t | | |  t d  t d  |  |  t | |  t | | t | | |  | t | | |  t d  |  |  S(   Niz  i   i   (   R  RÀ  R   Rò  Rà  (   R£  R¡  R¢  R   R£  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2938Œ  s    c      
      s¹     j  d  t |  t | | t | | |  | t | | |  t d  t d  |  |  t | |  t | | t | | |  | t | | |  t d  |  |  S(   Ni{  i   i   (   R  RÀ  R   Ró  Rà  (   R£  R¢  R   R£  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2939Á  s    c	   	         sL    j  d  t t d  | t d  t d  | t d  t | | t | | |  | t d  t | | | t d  | | t d  | t d  t | | |  | |  | | | |  |  |  t | | t | | |  | | | |  | | | t | | |  | | t d  | t d  |  S(   Ni|  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (	   RN  R£  R¡  R¢  R   R£  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2940Æ  s    c	   	         sL    j  d  t t d  | t d  t d  | t d  t | | t | | |  | t d  t | | | t d  | | t d  | t d  t | | |  | |  | | | |  |  |  t | | t | | |  | | | |  | | | t | | |  | | t d  | t d  |  S(   Ni}  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (	   RN  R£  R¢  R   R£  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2941Ë  s    c            s8    j  d  t t d  | t d  t d  | t d  t | | t | | |  | t d  t | | | t d  |  | | |  | t d  | t d  t | | |  |  |  |  t | | |  | | t | | |  | t | | |  | | t d  | t d  |  S(   Ni~  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  R¡  R¢  R   R£  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2942Ð  s    c            s8    j  d  t t d  | t d  t d  | t d  t | | t | | |  | t d  t | | | t d  |  | | |  | t d  | t d  t | | |  |  |  |  t | | |  | | t | | |  | t | | |  | | t d  | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  R¢  R   R£  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2943Õ  s    c	   	         sÂ    j  d  t t d  | | t d  | t d  | t d  t | | t | | |  | t d  t | | t d  | | |  | | | | | t d  |  | | | | t d  | | t d  | | |  | | | t | | |  |  |  |  t | | t | | |  | t d  | | t d  |  | | | | t d  t | | |  | | | t d  | t d  | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (	   RN  R£  R¡  R¢  R   R£  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2944Ú  s    c	   	         sÂ    j  d  t t d  | | t d  | t d  | t d  t | | t | | |  | t d  t | | t d  | | |  | | | | | t d  |  | | | | t d  | | t d  | | |  | | | t | | |  |  |  |  t | | t | | |  | t d  | | t d  |  | | | | t d  t | | |  | | | t d  | t d  | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (	   RN  R£  R¡  R¢  R   R£  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2945ß  s    c            s    j  d  t t d  | | t d  | t d  | t d  t | | t | | |  | t d  t | | | |  | t d  | | t d  |  | t d  | t d  | |  | t d  t | | |  |  |  |  t | | t | | |  | t d  | | t d  |  | t d  t | | |  | | | t d  | t d  | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  R¡  R¢  R   R£  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2946ä  s    c            s    j  d  t t d  | | t d  | t d  | t d  t | | t | | |  | t d  t | | | |  | t d  | | t d  |  | t d  | t d  | |  | t d  t | | |  |  |  |  t | | t | | |  | t d  | | t d  |  | t d  t | | |  | | | t d  | t d  | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  R¢  R   R£  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2947é  s    c	   	         s    j  d  t t d  | | t d  t | | t | | |  | t | | | t d  | | | t d  |  | | t d  | | t | | |  |  |  |  t | | | t | | |  | t d  t | | |  | | | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (	   RN  R£  R¢  R   R£  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2948î  s    c	   	         s    j  d  t t d  | | t d  t | | t | | |  | t | | | t d  | | | t d  |  | | t d  | | t | | |  |  |  |  t | | | t | | |  | t d  t | | |  | | | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (	   RN  R£  R¢  R   R£  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2949ó  s    c            s    j  d  t t d  | | t d  t | | t | | |  | t | | | t d  |  | t | | |  |  | | t d  |  |  |  t |  | | t | | |  | t d  t | | |  | | | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  R¡  R¢  R   R£  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2950ø  s    c            s    j  d  t t d  | | t d  t | | t | | |  | t | | | t d  |  | t | | |  |  | | t d  |  |  |  t |  | | t | | |  | t d  t | | |  | | | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  R¢  R   R£  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2951ý  s    c	   	   
      s³     j  d  t | t | | |  | | | t | | |  | | t | t | | |  | | | |  t | | |  | t | | |  t d  |  |  S(   Ni  i   (   R  RÀ  Rò  R   Rà  (	   RN  R£  R¡  R  R¢  R   R£  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2952  s    c	   	   
      s³     j  d  t | t | | |  | | | t | | |  | | t | t | | |  | | | |  t | | |  | t | | |  t d  |  |  S(   Ni  i   (   R  RÀ  Ró  R   Rà  (	   RN  R£  R¡  R  R¢  R   R£  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2953  s    c      
      s     j  d  t | t | | |  | | | t | | |  | | t | t | | |  | | | |  t | | |  t d  |  |  S(   Ni  i   (   R  RÀ  Rò  R   Rà  (   R£  R¡  R  R¢  R   R£  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2954  s    c      
      s     j  d  t | t | | |  | | | t | | |  | | t | t | | |  | | | |  t | | |  t d  |  |  S(   Ni  i   (   R  RÀ  Ró  R   Rà  (   R£  R¡  R  R¢  R   R£  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2955  s    c            s¶    j  d  t t d  | t d  | t d  | t d  | t d  t | | t |
 | |	  | t d  t | | | | t d  | t d  | t d  t |
 | |	  t d  | | t d  | | | | | | |  | | | | | | | |  | | t d  | | | | | t d  | t d  | | t d  | | | | | | t d  | t d  | | t d  | t d  | t d  t |
 | |	  |	  |	  |	  t | | t |
 | |	  | t d  | | | | | | t d  |  | | | | t d  t |
 | |	  | t d  | | t d  | t d  | t d  |	  S(   Ni  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R£  R¢  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2956  s    c            s¶    j  d  t t d  | t d  | t d  | t d  | t d  t | | t | | |	  | t d  t | | | | t d  | t d  | t d  t | | |	  t d  | | t d  |
 | | | | | |  | | | | | | | |  | | t d  | | | | | t d  | t d  | | t d  | | | | |
 | t d  | t d  | | t d  | t d  | t d  t | | |	  |	  |	  |	  t | | t | | |	  | t d  | | | | |
 | t d  |  | | | | t d  t | | |	  | t d  | | t d  | t d  | t d  |	  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R£  R¡  R¢  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2957  s    c
   
         sK    j  d  t t d  | t d  | t d  | t d  | t d  t | | t |	 | |  | t d  t |  | | | t d  | t d  | t d  t |	 | |  t d  | | t d  | | | | | | |  | | | | | | | | | | | t d  | t d  |  | t d  | t d  | t d  t |	 | |  |  |  |  t | | t |	 | |  | t d  | | t d  |  | t d  | | | | t |	 | |  | t d  | | t d  | t d  | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (
   R£  R¢  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2958   s    c
   
         sK    j  d  t t d  | t d  | t d  | t d  | t d  t | | t | | |  | t d  t |  | | | t d  | t d  | t d  t | | |  t d  | | t d  |	 | | | | | |  | | | | | | | | | |	 | t d  | t d  |  | t d  | t d  | t d  t | | |  |  |  |  t | | t | | |  | t d  |	 | t d  |  | t d  | | | | t | | |  | t d  | | t d  | t d  | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (
   R£  R¡  R¢  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2959%  s    c            s¢    j  d  t t d  | | t d  t | | t |
 | |	  | t | | | | t d  | | | | |  | | t d  | | | t d  | | t d  t |
 | |	  t d  | | | | | t d  |  | | | t |
 | |	  t d  |	  |	  |	  t | | | | t |
 | |	  | t d  t |
 | |	  t |
 | |	  | | | t d  |	  S(   Ni  i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R£  R¢  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2960*  s    c            s¢    j  d  t t d  | | t d  t | | t |
 | |	  | t | | | | t d  | | | | |  | | t d  | | | t d  | | t d  t |
 | |	  t d  | | | | | t d  |  | | | t |
 | |	  t d  |	  |	  |	  t | | | | t |
 | |	  | t d  t |
 | |	  t |
 | |	  | | | t d  |	  S(   Ni  i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R£  R¢  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2961/  s    c
   
         s    j  d  t t d  | | t d  t | | t |	 | |  | t | | | | t d  |  | | | | | | t d  |  | t d  t |	 | |  t d  |  | | |  | | | t d  t |	 | |  t d  |  |  |  t |  | | | t |	 | |  | t d  t |	 | |  t |	 | |  | | | t d  |  S(   Ni  i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (
   R£  R¢  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement29624  s    c
   
         s    j  d  t t d  | | t d  t | | t |	 | |  | t | | | | t d  |  | | | | | | t d  |  | t d  t |	 | |  t d  |  | | |  | | | t d  t |	 | |  t d  |  |  |  t |  | | | t |	 | |  | t d  t |	 | |  t |	 | |  | | | t d  |  S(   Ni  i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (
   R£  R¢  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement29639  s    c            s:    j  d  t t d  t d  | | | t d  | t d  t | | t | | |
  | t d  | | t | | |
  | t |	 | t d  | t d  | t d  t d  | | t d  |  | | | | t d  | | t d  | | t d  | t d  | | | t d  | | |	 | |  | | | t d  t | | |
  |
  |
  |
  t | | t | | |
  | | | t | | |
  | t d  |	 | |  | | | t | | |
  t d  | | | t d  | t d  |
  S(   Ni  i   i   iÿÿÿÿi   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2964>  s    c            s:    j  d  t t d  t d  | | | t d  | t d  t | | t | | |
  | t d  | | t | | |
  | t |	 | t d  | t d  | t d  t d  | | t d  |  | | | | t d  | | t d  | | t d  | t d  | | | t d  | | |	 | |  | | | t d  t | | |
  |
  |
  |
  t | | t | | |
  | | | t | | |
  | t d  |	 | |  | | | t | | |
  t d  | | | t d  | t d  |
  S(   Ni  i   i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2965C  s    c            s    j  d  t t d  t d  | | | t d  | t d  t | | t |
 | |	  | t d  | | t |
 | |	  | t | | t d  | t d  | t d  t d  | | t d  |  | t d  | | t d  | t d  | | | | | t d  |  | t d  | | t |
 | |	  |	  |	  |	  t | | t |
 | |	  | | | t |
 | |	  | t d  | | |  | t |
 | |	  t d  | | | t d  | t d  |	  S(   Ni  i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2966H  s    c            s    j  d  t t d  t d  | | | t d  | t d  t | | t |
 | |	  | t d  | | t |
 | |	  | t | | t d  | t d  | t d  t d  | | t d  |  | t d  | | t d  | t d  | | | | | t d  |  | t d  | | t |
 | |	  |	  |	  |	  t | | t |
 | |	  | | | t |
 | |	  | t d  | | |  | t |
 | |	  t d  | | | t d  | t d  |	  S(   Ni  i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2967M  s    c            s    j  d  t | | t |
 | |	  | t | |  t |
 | |	  | |	  t | | t |
 | |	   |	  t t d  | | | t |
 | |	  | t d  t |
 | |	  | | t | | t |
 | |	   t d  | t d  |	  S(   Ni  i   i   i   (   R  R   Rò  R€  Rá  Rà  Ró  (   RN  R£  R¢  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2968R  s    c            s    j  d  t | | t |
 | |	  | t | |  t |
 | |	  | |	  t | | t |
 | |	   |	  t t d  | | | t |
 | |	  | t d  t |
 | |	  | | t | | t |
 | |	   t d  | t d  |	  S(   Ni  i   i   i   (   R  R   Ró  R€  Rá  Rà  Rò  (   RN  R£  R¢  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2969W  s    c
   
         sö     j  d  t | |  t | | t |	 | |  | t | | t |	 | |   |  |  t t d  |  | | t |	 | |  | t d  t |	 | |  | | t | | t |	 | |   t d  | t d  |  S(   Ni  i   i   i   (   R  RÀ  R   Rò  Rá  R€  Rà  Ró  (
   R£  R¢  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2970\  s    c
   
         sõ     j  d  t | |  t | | t |	 | |  | t | | t |	 | |   |  |  t t d  |  | | t |	 | |  | t d  t |	 | |  | | t | | t |	 | |   t d  | t d  |  S(   Ni  i   i   i   (   R  RÀ  R   Ró  Rá  R€  Rà  Rò  (
   R£  R¢  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2971a  s    c            s    j  d  t t d  | | | | t d  t | | t | | |
  | | | t | | |
  | t |	 | | | | t d  | | | | | | | t d  |  | | | | t d  | | | t d  | t d  t | | |
  |
  |
  |
  t | | | t | | |
  | | | t | | |
  | t d  t | | |
  | | | | t d  |
  S(   Ni  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2972f  s    c            s    j  d  t t d  | | | | t d  t | | t | | |
  | | | t | | |
  | t |	 | | | | t d  | | | | | | | t d  |  | | | | t d  | | | t d  | t d  t | | |
  |
  |
  |
  t | | | t | | |
  | | | t | | |
  | t d  t | | |
  | | | | t d  |
  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2973k  s    c            s    j  d  t t d  | | | | t d  t | | t |
 | |	  | | | t |
 | |	  | t | | | | | t d  |  | | t d  | t d  t |
 | |	  |  | | | | | | t d  |	  |	  |	  t |  | | t |
 | |	  | | | t |
 | |	  | t d  t |
 | |	  | | | | t d  |	  S(   Ni  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2974p  s    c            s    j  d  t t d  | | | | t d  t | | t |
 | |	  | | | t |
 | |	  | t | | | | | t d  |  | | t d  | t d  t |
 | |	  |  | | | | | | t d  |	  |	  |	  t |  | | t |
 | |	  | | | t |
 | |	  | t d  t |
 | |	  | | | | t d  |	  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2975u  s    c            sK    j  d  t t d  | t d  | t d  | | | | t | | t | | |
  | t d  | | t | | |
  | t |	 | | | t d  | | t d  | | t d  |  | | | t d  | | | | | | | | | | t d  | | | | | t d  | | t d  | t d  | |	 | |  | | | t d  t | | |
  |
  |
  |
  t | | t | | |
  | | | t | | |
  | t d  |	 | |  | | | t | | |
  | t d  | t d  | | | | |
  S(   Ni   i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2976z  s    c            sK    j  d  t t d  | t d  | t d  | | | | t | | t | | |
  | t d  | | t | | |
  | t |	 | | | t d  | | t d  | | t d  |  | | | t d  | | | | | | | | | | t d  | | | | | t d  | | t d  | t d  | |	 | |  | | | t d  t | | |
  |
  |
  |
  t | | t | | |
  | | | t | | |
  | t d  |	 | |  | | | t | | |
  | t d  | t d  | | | | |
  S(   Ni¡  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2977  s    c            s    j  d  t t d  | t d  | t d  | | | | t | | t |
 | |	  | t d  | | t |
 | |	  | t | | | | t d  | | t d  | | t d  |  | | | | | | t d  | | | | | t d  |  | | | | t d  | | t d  | t d  t |
 | |	  |	  |	  |	  t | | |  | | t |
 | |	  | | | t |
 | |	  | t d  t |
 | |	  | t d  | t d  | | | | |	  S(   Ni¢  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2978  s    c            s    j  d  t t d  | t d  | t d  | | | | t | | t |
 | |	  | t d  | | t |
 | |	  | t | | | | t d  | | t d  | | t d  |  | | | | | | t d  | | | | | t d  |  | | | | t d  | | t d  | t d  t |
 | |	  |	  |	  |	  t | | |  | | t |
 | |	  | | | t |
 | |	  | t d  t |
 | |	  | t d  | t d  | | | | |	  S(   Ni£  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2979  s    c            sC    j  d  t t d  | | | t d  | t d  | t d  t | | t | | |
  | | | t | | |
  | t d  t |	 | | | | | | | t d  | | | t d  | t d  | t d  | t d  | |	 | |  | | | t d  t | | |
  |  | | | | | | | | | t d  |
  |
  |
  t | | t | | |
  | | | t | | |
  | t d  |	 | t d  |  | | | | t d  t | | |
  | | | t d  | t d  | t d  |
  S(   Ni€  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R£  R¢  R   R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2980  s    c            sC    j  d  t t d  | | | t d  | t d  | t d  t | | t | | |
  | | | t | | |
  | t d  t |	 | | | | | | | t d  | | | t d  | t d  | t d  | t d  | |	 | |  | | | t d  t | | |
  |  | | | | | | | | | t d  |
  |
  |
  t | | t | | |
  | | | t | | |
  | t d  |	 | t d  |  | | | | t d  t | | |
  | | | t d  | t d  | t d  |
  S(   Ni¥  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2981  s    c            s*    j  d  t t d  | | | t d  | t d  | t d  t | | t |
 | |	  | | | t |
 | |	  | t d  t | | | | | | | | t d  |  | | | | | | | t d  | | | t d  | | t d  |  | t d  | t d  | t d  | t d  t |
 | |	  |	  |	  |	  t | | t |
 | |	  | | | t |
 | |	  | t d  | | t d  |  | t d  t |
 | |	  | | | t d  | t d  | t d  |	  S(   NiŠ  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  R¢  R   R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2982  s    c            s*    j  d  t t d  | | | t d  | t d  | t d  t | | t |
 | |	  | | | t |
 | |	  | t d  t | | | | | | | | t d  |  | | | | | | | t d  | | | t d  | | t d  |  | t d  | t d  | t d  | t d  t |
 | |	  |	  |	  |	  t | | t |
 | |	  | | | t |
 | |	  | t d  | | t d  |  | t d  t |
 | |	  | | | t d  | t d  | t d  |	  S(   Ni§  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2983  s    c            s     j  d  t t d  | | | | t d  t | | t | | |
  | | | t | | |
  | t |	 | | | | t d  | | | | | | | t d  |  | | | | t d  | | | | | | | t d  t | | |
  |
  |
  |
  t | | | t | | |
  | | | t | | |
  | t d  t | | |
  | | | | t d  |
  S(   Niš  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2984¢  s    c            s     j  d  t t d  | | | | t d  t | | t | | |
  | | | t | | |
  | t |	 | | | | t d  | | | | | | | t d  |  | | | | t d  | | | | | | | t d  t | | |
  |
  |
  |
  t | | | t | | |
  | | | t | | |
  | t d  t | | |
  | | | | t d  |
  S(   Ni©  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2985§  s    c            s    j  d  t t d  | | | | t d  t | | t |
 | |	  | | | t |
 | |	  | t | | | | | t d  |  | | | | | | t d  |  | | | | | | t d  t |
 | |	  |	  |	  |	  t |  | | t |
 | |	  | | | t |
 | |	  | t d  t |
 | |	  | | | | t d  |	  S(   Niª  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2986¬  s    c            s    j  d  t t d  | | | | t d  t | | t |
 | |	  | | | t |
 | |	  | t | | | | | t d  |  | | | | | | t d  |  | | | | | | t d  t |
 | |	  |	  |	  |	  t |  | | t |
 | |	  | | | t |
 | |	  | t d  t |
 | |	  | | | | t d  |	  S(   Ni«  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  R¢  R   R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2987±  s    c            s    j  d  t t d  | | t d  | t d  | t d  t | | t | | |
  | t d  | | t | | |
  | t d  t |	 | | | | t d  | | | | | | t d  | t d  | t d  | t d  | |	 | |  | | | t d  t | | |
  t d  |  | | | | | | t d  | | | | | | t d  | t d  | t d  | | | | t d  | |	 | | | t d  | | | t d  |  | | | t d  | | | t d  t | | |
  |
  |
  |
  t | | t | | |
  | | | t | | |
  | t d  |	 | t d  |  | | | | t d  t | | |
  | | | t d  | t d  | t d  |
  S(   Ni¬  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R£  R¢  R   R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2988¶  s    c            s    j  d  t t d  | | t d  | t d  |	 t d  t | | t | | |
  | t d  | | t | | |
  |	 t d  t | | | | |	 t d  | | | | | | t d  | t d  | t d  |	 t d  | | | |  | | |	 t d  t | | |
  t d  |  | | | | | |	 t d  | | | | | | t d  | t d  |	 t d  | | | |	 t d  | | | | |	 t d  | | |	 t d  |  | | |	 t d  | | |	 t d  t | | |
  |
  |
  |
  t | | t | | |
  | | | t | | |
  |	 t d  | | t d  |  | | | | t d  t | | |
  | | | t d  | t d  |	 t d  |
  S(   Ni­  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R£  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2989»  s    c            sÍ    j  d  t t d  | | t d  | t d  | t d  t | | t |
 | |	  | t d  | | t |
 | |	  | t d  t | | | | | t d  | | | |  | | | | t d  | | | | | | t d  | | t d  |  | t d  | t d  | t d  | t d  t |
 | |	  t d  | | | | | t d  | | | t d  |  | | t d  | t d  | t d  | | | | t d  t |
 | |	  |	  |	  |	  t | | t |
 | |	  | | | t |
 | |	  | t d  | | t d  |  | t d  t |
 | |	  | | | t d  | t d  | t d  |	  S(   Ni®  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  R¢  R   R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2990À  s    c            sÍ    j  d  t t d  | | t d  | t d  | t d  t | | t | | |	  | t d  | | t | | |	  | t d  t |
 | | | | t d  | | | |  | | | | t d  | | | | |
 | t d  | | t d  |  | t d  | t d  | t d  | t d  t | | |	  t d  |
 | | | | t d  | | | t d  |  | | t d  | t d  | t d  | | | | t d  t | | |	  |	  |	  |	  t | | t | | |	  | | | t | | |	  | t d  |
 | t d  |  | t d  t | | |	  | | | t d  | t d  | t d  |	  S(   Ni¯  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2991Å  s    c            s    j  d  t t d  | | | t d  t | | t | | |
  | t d  | | t | | |
  | t |	 | | | | t d  | | | | t d  | | | | | | | | | | t d  | |	 | |  | | | t d  t | | |
  |  | | | | t d  | | | | | | | t d  t | | |
  t d  |
  |
  |
  t | | | t | | |
  | | | t | | |
  | t d  t | | |
  | | | | t d  |
  S(   Ni°  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R£  R¢  R   R£  RÁ  R  RÂ  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2992Ê  s    c            s    j  d  t t d  | | | t d  t | | t | | |
  | t d  | | t | | |
  | t |	 | | | | t d  | | | | t d  | | | | | | | | | | t d  | |	 | |  | | | t d  t | | |
  |  | | | | t d  | | | | | | | t d  t | | |
  t d  |
  |
  |
  t | | | t | | |
  | | | t | | |
  | t d  t | | |
  | | | | t d  |
  S(   Ni±  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R£  R¢  R   R£  RÁ  R  RÂ  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2993Ï  s    c            sè    j  d  t t d  | | | t d  t | | t |
 | |	  | t d  | | t |
 | |	  | t | | | | | t d  |  | | | | | | t d  t |
 | |	  t d  |  | | | t d  | | | | | | | | t d  |  | | | | | | t d  t |
 | |	  |	  |	  |	  t |  | | t |
 | |	  | | | t |
 | |	  | t d  t |
 | |	  | | | | t d  |	  S(   Ni²  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  R¢  R   R£  RÁ  R  RÂ  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2994Ô  s    c            sè    j  d  t t d  | | | t d  t | | t |
 | |	  | t d  | | t |
 | |	  | t | | | | | t d  |  | | | | | | t d  t |
 | |	  t d  |  | | | t d  | | | | | | | | t d  |  | | | | | | t d  t |
 | |	  |	  |	  |	  t |  | | t |
 | |	  | | | t |
 | |	  | t d  t |
 | |	  | | | | t d  |	  S(   Ni³  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  R¢  R   R£  RÁ  R  RÂ  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2995Ù  s    c	   	         só     j  d  t t d  | t | | |  | | | t | | |  t | t | | |   | | t | | |  t d  d |  |  t | | | t t | t | | |   t | | t | | |   |  |  S(   NiŽ  i   i   i   (   R  RÀ  Rà  R   Rò  Rá  (	   RN  R£  R¡  R   R£  RÁ  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2996Þ  s    c	   	         só     j  d  t t d  | t | | |  | | | t | | |  t | t | | |   | | t | | |  t d  d |  |  t | | | t t | t | | |   t | | t | | |   |  |  S(   Niµ  i   i   i   (   R  RÀ  Rà  R   Ró  Rá  (	   RN  R£  R   R£  RÁ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2997ã  s    c            së     j  d  t t d  | t | | |  | t | | |  t | t | | |   | | t | | |  t d  d |  |  t |  | | t t | t | | |   t | | t | | |   |  |  S(   Ni¶  i   i   i   (   R  RÀ  Rà  R   Rò  Rá  (   R£  R¡  R   R£  RÁ  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2998è  s    c            së     j  d  t t d  | t | | |  | t | | |  t | t | | |   | | t | | |  t d  d |  |  t |  | | t t | t | | |   t | | t | | |   |  |  S(   Ni·  i   i   i   (   R  RÀ  Rà  R   Ró  Rá  (   R£  R   R£  RÁ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement2999í  s    c
   
         s+    j  d  t | t d  t | | t d  | | t d  | |  | t d  | | t |	 | |  | | t |	 | |  t d  d t | | t |	 | |   |  |  t | | t d  t t | | t |	 | |   t | | t |	 | |   |  |  S(   Niž  iþÿÿÿi   i   (   R  RÀ  Rà  R   Rò  Rá  (
   RN  R£  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3000ò  s    c
   
         s+    j  d  t | t d  t |	 | t d  | | t d  | |  | t d  | | t | | |  | | t | | |  t d  d t | | t | | |   |  |  t | | t d  t t | | t | | |   t | | t | | |   |  |  S(   Ni¹  iþÿÿÿi   i   (   R  RÀ  Rà  R   Ró  Rá  (
   RN  R£  R¡  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3001÷  s    c	   	         s#    j  d  t | t d  t | | t d  |  | t d  t d  |  | | t | | |  | | t | | |  t d  d t | | t | | |   |  |  t |  | t d  t t | | t | | |   t | | t | | |   |  |  S(   Niº  iþÿÿÿi   i   (   R  RÀ  Rà  R   Rò  Rá  (	   R£  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3002ü  s    c	   	         s#    j  d  t | t d  t | | t d  |  | t d  t d  |  | | t | | |  | | t | | |  t d  d t | | t | | |   |  |  t |  | t d  t t | | t | | |   t | | t | | |   |  |  S(   Ni»  iþÿÿÿi   i   (   R  RÀ  Rà  R   Ró  Rá  (	   R£  R¡  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3003  s    c            sè    j  d  t t d  | t d  | t d  | t d  | | | | t | | t | | |
  | t d  | | t | | |
  | t | | | t d  |	 | t d  |  | | | | t d  | | | t d  |	 | t d  |  | | | | t d  t | | |
  t d  | t d  | | | | |	 | |  | | | | |	 | t d  |  | | | | t d  | t d  | | | | |	 | |  | | | t | | |
  |
  |
  |
  t | | t | | |
  | t d  | | t | | |
  | t d  |	 | t d  |  | | | | t d  t | | |
  | | t d  | t d  | t d  | | | | |
  S(   NiŒ  i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   RN  R£  R¢  R   R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3004  s    c            sè    j  d  t t d  | t d  | t d  | t d  | | | | t | | t | | |
  | t d  | | t | | |
  |	 t | | |	 t d  | | t d  |  | | | | t d  | | |	 t d  | | t d  |  | | | | t d  t | | |
  t d  | t d  | | | | | | |  | | | | | | t d  |  | | | | t d  | t d  | | | | | | |  | | | t | | |
  |
  |
  |
  t | | t | | |
  | t d  | | t | | |
  |	 t d  | | t d  |  | | | | t d  t | | |
  | | t d  | t d  | t d  | | | | |
  S(   Niœ  i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   RN  R£  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3005  s    c            s     j  d  t t d  | t d  | t d  | t d  | | | | t | | t |
 | |	  | t d  | | t |
 | |	  | t | | |  | t d  | | | | | | | t d  |  | t d  | | t d  | | | t d  |  | t d  | | t d  t |
 | |	  t d  | | |  | t d  | | | | | | | t d  |  | t d  t |
 | |	  |	  |	  |	  t | | t |
 | |	  | t d  | | t |
 | |	  | t d  | | t d  |  | t d  t |
 | |	  | | t d  | t d  | t d  | | | | |	  S(   NiŸ  i   i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  R¢  R   R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3006  s    c            s     j  d  t t d  | t d  | t d  | t d  | | | | t | | t | | |	  | t d  | | t | | |	  | t | |
 |  | t d  | | | | | |
 | t d  |  | t d  | | t d  | |
 | t d  |  | t d  | | t d  t | | |	  t d  | |
 |  | t d  | | | | | |
 | t d  |  | t d  t | | |	  |	  |	  |	  t | | t | | |	  | t d  | | t | | |	  | t d  |
 | t d  |  | t d  t | | |	  | | t d  | t d  | t d  | | | | |	  S(   Ni¿  i   i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3007  s    c
   
         s    j  d  t | | t d  |  | | | | t d  | | | | | t t d  | | t |	 | |  |  |  t | | t d  |  | | | | t d  | | | | | t t d  | | t |	 | |  |  |  t | | | | |  S(   NiÀ  i   i   (   R  RÀ  Rà  R   Rò  R€  (
   RN  R£  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3008  s    c
   
         s    j  d  t | | t d  |  | | | | t d  | | | | | t t d  | | t |	 | |  |  |  t | | t d  |  | | | | t d  | | | | | t t d  | | t |	 | |  |  |  t | | | | |  S(   NiÁ  i   i   (   R  RÀ  Rà  R   Ró  R€  (
   RN  R£  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3009  s    c	   	         s    j  d  t | | t d  |  | t d  | | | | | t t d  | | t | | |  |  |  t | | t d  |  | t d  | | | | | t t d  | | t | | |  |  |  t |  | | | |  S(   NiÂ  i   i   (   R  RÀ  Rà  R   Rò  R€  (	   R£  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3010$  s    c	   	         s    j  d  t | | t d  |  | t d  | | | | | t t d  | | t | | |  |  |  t | | t d  |  | t d  | | | | | t t d  | | t | | |  |  |  t |  | | | |  S(   NiÃ  i   i   (   R  RÀ  Rà  R   Ró  R€  (	   R£  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3011)  s    c
   
         s    j  d  t t d  | | t t | | | | | | |  | | | | | | | | t |	 | |  |  t | | t |	 | |   | | t |	 | |  |  |  t | | | t t | | t |	 | |   |  |  S(   NiÄ  i   (   R  RÀ  Rà  R   R€  Rò  Rá  (
   RN  R£  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3012.  s    c
   
         s    j  d  t t d  | | t t |	 | | | | | |  | | | | | | | | t | | |  |  t | | t | | |   | | t | | |  |  |  t | | | t t | | t | | |   |  |  S(   NiÅ  i   (   R  RÀ  Rà  R   R€  Ró  Rá  (
   RN  R£  R¡  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement30133  s    c	   	         sô     j  d  t t d  | | t t | | | |  | | |  | | |  | | t | | |  |  t | | t | | |   | | t | | |  |  |  t |  | | t t | | t | | |   |  |  S(   NiÆ  i   (   R  RÀ  Rà  R   R€  Rò  Rá  (	   R£  R   R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement30148  s    c	   	         sô     j  d  t t d  | | t t | | | |  | | |  | | |  | | t | | |  |  t | | t | | |   | | t | | |  |  |  t |  | | t t | | t | | |   |  |  S(   NiÇ  i   (   R  RÀ  Rà  R   R€  Ró  Rá  (	   R£  R¡  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3015=  s    c
   
         s    j  d  t t d  t d  | t t t d  | | | | | | | | t d  |  | | | | | | | t |	 | |  t d  t d  | | | | | | |  | t |	 | |  |  | | t |	 | |  t d  d t | | t |	 | |   |  |  t | t | | t |	 | |   t |	 | |  | | t | | t |	 | |   |  S(   NiÈ  i   i   i   (   R  RÀ  Rà  R   R€  Rò  Rá  Ró  (
   RN  R£  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3016B  s    c
   
         s    j  d  t t d  t d  | t t t d  |	 | | | | | | | t d  |  | | | | | | | t | | |  t d  t d  | | | | |	 | |  | t | | |  |  | | t | | |  t d  d t | | t | | |   |  |  t | t | | t | | |   t | | |  | | t | | t | | |   |  S(   NiÉ  i   i   i   (   R  RÀ  Rà  R   R€  Ró  Rá  Rò  (
   RN  R£  R¡  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3017G  s    c	   	         s~    j  d  t t d  t d  | t t t d  | | | |  | | | | |  | | | | t | | |  t d  t d  | | | |  | | t | | |  |  | | t | | |  t d  d t | | t | | |   |  |  t |  t | | t | | |   t | | |  | | t | | t | | |   |  S(   NiÊ  i   i   i   (   R  RÀ  Rà  R   R€  Rò  Rá  Ró  (	   R£  R   R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3018L  s    c	   	         s~    j  d  t t d  t d  | t t t d  | | | |  | | | | |  | | | | t | | |  t d  t d  | | | |  | | t | | |  |  | | t | | |  t d  d t | | t | | |   |  |  t |  t | | t | | |   t | | |  | | t | | t | | |   |  S(   NiË  i   i   i   (   R  RÀ  Rà  R   R€  Ró  Rá  Rò  (	   R£  R¡  R   R£  RÁ  R  RÂ  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3019Q  s    c            s     j  d  t | | t | | |
  | | | t | | |
  | |	 |  t | | |
  | t | | |
  t d  |
  S(   NiÌ  i   (   R  R   Rò  Rà  (   RN  R£  R¢  R   R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3020V  s    c            s     j  d  t | | t | | |
  | | | t | | |
  |	 | |  t | | |
  | t | | |
  t d  |
  S(   NiÍ  i   (   R  R   Ró  Rà  (   RN  R£  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3021[  s    c            sv     j  d  t | |  t |
 | |	  t d  | | t |
 | |	  | | | t |
 | |	  | |	  S(   NiÎ  i   (   R  R   Rò  Rà  (   R£  R¢  R   R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3022`  s    c            sv     j  d  t |
 |  t | | |	  t d  | | t | | |	  | | | t | | |	  | |	  S(   NiÏ  i   (   R  R   Ró  Rà  (   R£  R¡  R¢  R   R£  RÁ  R  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3023e  s    c      
      sÑ     j  d  t | t | | |
  | | | t | | |
  | | t | t | | |
  | | | | t | | |
  | |	 |  t | | |
  | t | | |
  t d  |
  |
  S(   NiÐ  i   (   R  RÀ  Rò  R   Rà  (   RN  R£  R  R¢  R   R£  RÁ  RÂ  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3024j  s    c      
      sÑ     j  d  t | t | | |
  | | | t | | |
  | | t | t | | |
  | | | | t | | |
  |	 | |  t | | |
  | t | | |
  t d  |
  |
  S(   NiÑ  i   (   R  RÀ  Ró  R   Rà  (   RN  R£  R¡  R  R¢  R   R£  RÁ  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3025o  s    c      
      s»     j  d  t | t |
 | |	  | | | t |
 | |	  | | t | t |
 | |	  | | | |  t |
 | |	  t d  | | t |
 | |	  | |	  |	  S(   NiÒ  i   (   R  RÀ  Rò  R   Rà  (   R£  R  R¢  R   R£  RÁ  RÂ  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3026t  s    c      
      s»     j  d  t | t | | |	  | | | t | | |	  | | t | t | | |	  | | |
 |  t | | |	  t d  | | t | | |	  | |	  |	  S(   NiÓ  i   (   R  RÀ  Ró  R   Rà  (   R£  R¡  R  R¢  R   R£  RÁ  RÂ  R€  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3027y  s    c            sV     j  d  t | | t | | |  |  t | | |  | |  | | |  S(   NiÔ  (   R  R€  Ró  Rò  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3028~  s    c            sš     j  d  t t d  | t t | t d  |  t d  | t d  | t d  t d  d |  | | t | | |  |  t | | |   |  S(   NiÕ  i   i   iÿÿÿÿ(   R  RÀ  Rà  R*   R   Rò  Ró  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3029  s    c      	      sþ     j  d  t | t d  |  t d  | t d  | t | t | | |  |  t | | |  | t d  |  |  t | t | | |  |  t | | |  | t | | |  |  t | | |  | t d  | | |  S(   NiÖ  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3030  s    c            s     j  d  t t d  | t t t d  | t d  |  t d  | t d  |  | | t | | |  |  t | | |   |  S(   Ni×  i   i   (   R  RÀ  Rà  R*   R   Rò  Ró  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3031  s    iþÿÿÿc      	      s\     j  d  t t | | |  | | | t | | |  |  t | | |  |  S(   NiØ  (   R  R€  Rò  Ró  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3032  s    c      	      s.    j  d  t | t d  | t d  |  t d  | t d  t | t | | |  |  t | | |  | t d  |  |  t | t | | |  |  t | | |  | t | | |  |  t | | |  | t d  | | t d  |  t d  | t d  |  S(   NiÙ  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3033  s    c            sk     j  d  t | t d  |  t d  | t d  t t | | | t | |    | |  |  S(   NiÚ  i   (   R  RÀ  Rà  R   Ró  R=   (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3034  s    c            sÄ     j  d  t | t | | |  |  t | | |  t | t d  |  t d   | | t | | |  |  t | | |  | t t | | | t | |    | |  |  S(   NiÛ  i   (   R  RÀ  Ró  Rò  Rá  Rà  R   R=   (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3035¡  s    c      	      s    j  d  t t d  | t | t | | |  | t | | |  | t d  t | | |  | t d  |  |  t | | t | | |  | t | | |  | t d  t | | |  | t d  | | t d  |  S(   NiÜ  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3036Š  s    c      	      s    j  d  t t d  | t | t | | |  | t | | |  | t d  t | | |  | t d  |  |  t | | t | | |  | t | | |  | t d  t | | |  | t d  | | t d  |  S(   NiÝ  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3037«  s    c      	      sû     j  d  t t d  t d  | t | t | | |  | t | | |  | t d  t | | |  | t d  |  |  t | | t | | |  | t | | |  | t | | |  | t d  | | | |  S(   NiÞ  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3038°  s    c      	      sû     j  d  t t d  t d  | t | t | | |  | t | | |  | t d  t | | |  | t d  |  |  t | | t | | |  | t | | |  | t | | |  | t d  | | | |  S(   Niß  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3039µ  s    c            sŸ     j  d  t | | t | | |  | t | | |  | t t d  | | t d  | t | | |  | t d  |  t | | |  | t d  | | | |  S(   Nià  i   i   (   R  R€  Ró  Rò  R4   Rà  Rô  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3040º  s    c            s¿     j  d  t | | t | | |  | t | | |  | t t d  | | t d  | | t | | |  t d  |  t | | |  | t d  | | | |  S(   Niá  i   i   (   R  R€  Ró  Rò  R4   Rà  Rô  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3041¿  s    c            s4     j  d  t | t | | |  | | |  S(   Niâ  (   R  R   Rô  (   R¢  R£  RÁ  RÂ  R€  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3042Ä  s    c            s4     j  d  t | | t | | |  | |  S(   Niã  (   R  R   Rô  (   R¢  R£  RÁ  RÂ  R€  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3043É  s    c      
      s     j  d  t t d  | t t | |  | | | | | t d  t d  |  t d  | t d  t d  |  | t | | |   |  S(   Niä  i   i   iÿÿÿÿ(   R  RÀ  Rà  R*   R   Rô  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3044Î  s    c      
      sš     j  d  t t d  | t t | |  | t d  t d  |  t d  | t d  t d  | | | | |  | t d  t | | |   |  S(   Niå  i   i   iÿÿÿÿ(   R  RÀ  Rà  R*   R   Rô  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3045Ó  s    c            se     j  d  t t | t | | |  | t | | |  | t | | |  |  |  |  S(   Niæ  (   R  R   RH  Ró  Rò  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3046Ø  s    c            se     j  d  t t | t | | |  | t | | |  | t | | |  |  |  |  S(   Niç  (   R  R   RH  Ró  Rò  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3047Ý  s    c      	      su     j  d  t | | | | t | t | | |  | t | | |  | t | | |  |  |  |  S(   Niè  (   R  RÀ  R   Rò  Ró  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3048â  s    c      	      su     j  d  t | | | | t | t | | |  | t | | |  | t | | |  |  |  |  S(   Nié  (   R  RÀ  R   Rò  Ró  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3049ç  s    c      
      s.    j  d  t | t d  t | t | | |  |  t | | |  | t d  t | | |  |  |  t |  | t d  t | t | | |  |  t | | |  | t d  |  |  t | t | | |  |  t | | |  | t d  | | | t d  |  S(   Niê  iþÿÿÿi   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3050ì  s    c      
      s.    j  d  t |  t d  t | t | | |  |  t | | |  | t d  t | | |  |  |  t | |  t d  t | t | | |  |  t | | |  | t d  |  |  t | t | | |  |  t | | |  | t d  |  | | t d  |  S(   Nië  iþÿÿÿi   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3051ñ  s    c      
      s|    j  d  t | t d  t | t | | |  | t | | |  | t d  t | | |  |  |  |  t t d  | t | t | | |  | t | | |  | t d  t | | |  |  t d  |  |  t | t d  | t d  t | t | | |  | t | | |  | t d  t | | |  |  t d  |  |  S(   Niì  i   iþÿÿÿiÿÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3052ö  s    c      
      s|    j  d  t t d  | t | t | | |  | t | | |  | t d  t | | |  |  t d  |  |  t | t d  t | t | | |  | t | | |  | t d  t | | |  |  |  |  t | t d  | t d  t | t | | |  | t | | |  | t d  t | | |  |  t d  |  |  S(   Nií  i   iÿÿÿÿi   iþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3053û  s    c      
      sÅ     j  d  t | | t d  |  t d  t | t | | |  |  t | | |  | t | | |  |  t | | |  |  |  t |  | | t d  |  t d  |  S(   Niî  i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3054   s    c      
      sÄ     j  d  t |  | t d  |  t d  t | t | | |  |  t | | |  | t | | |  |  t | | |  |  |  t | | | t d  |  t d  |  S(   Niï  i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3055  s    c      
      s@    j  d  t | t d  | t d  | t d  t t | | |  |  t d  | t | | |  | t | | |  |  |  t | | t d  | t d  t t | | |  |  t d  |  |  t | t | | |  |  t d  | | t d  | t d  |  t d  |  S(   Nið  i   iþÿÿÿiÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R¢  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3056
  s    c            s@    j  d  t | | t d  | t d  t t | | |  |  t d  |  |  t | t d  | t d  | t d  t t | | |  |  t d  | t | | |  | t | | |  |  |  t | t | | |  |  t d  | | t d  | t d  |  t d  |  S(   Niñ  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3057  s    c      
      sÁ     j  d  t t d  | t | t | | |  |  t | | |  | t | | |  |  t | | |  |  |  t t d  | t t d  t | | |  |  |  S(   Niò  i   (   R  RÀ  Rà  R   Rò  Ró  Rô  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3058  s    c      
      s¶     j  d  t t d  |  t | t | | |  |  t | | |  | t | | |  |  t | | |  |  |  t t d  |  t t | | |  |  |  S(   Nió  i   (   R  RÀ  Rà  R   Rò  Ró  Rô  (   R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3059  s    c            s    j  d  t | | t d  t t | | |  |  t d  |  |  t | t d  | t d  | t d  t t | | |  |  t d  | t | | |  | t | | |  |  |  t t | | |  |  t d  | | |  t d  |  S(   Niô  i   i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R¢  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3060  s    c            s    j  d  t | | t d  t t | | |  |  t d  |  |  t | t d  | t d  | t d  t t | | |  |  t d  | t | | |  | t | | |  |  |  t t | | |  |  t d  | | |  t d  |  S(   Niõ  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3061#  s    c      
      s    j  d  t | t d  t | t | | |  | t | | |  | t d  t | | |  |  |  |  t t d  | | t d  t | t | | |  | t | | |  | t d  t | | |  |  t d  |  |  t | t d  | t d  | t d  t | t | | |  | t | | |  | t | | |  |  t d  |  |  S(   Niö  iþÿÿÿi   i   (   R  RÀ  Rà  R   Ró  Rò  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3062(  s    c      
      s    j  d  t | t d  t | t | | |  | t | | |  | t d  t | | |  |  |  |  t t d  | | t d  t | t | | |  | t | | |  | t d  t | | |  |  t d  |  |  t | t d  | t d  | t d  t | t | | |  | t | | |  | t | | |  |  t d  |  |  S(   Ni÷  iþÿÿÿi   i   (   R  RÀ  Rà  R   Ró  Rò  (   R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3063-  s    c            s{     j  d  t t | t | | |  | t | | |  |  t | | |  | t | | |  | |  |  S(   Niø  (   R  R   RH  Ró  Rò  (   R  R¢  R£  RÁ  RÂ  R€  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement30642  s    c      	      s     j  d  t | |  | |  t | t | | |  | t | | |  |  t | | |  | t | | |  | |  |  S(   Niù  (   R  RÀ  R   Rò  Ró  (   R  R¢  R£  RÁ  RÂ  R€  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement30657  s    c            s|    j  d  t | | t d  | t d  t t | | |  | t | | |  |  t d  |  |  t | | t d  | t d  t t | | |  | t d  t | | |  |  |  |  t | | | t d  | t d  t t | | |  | t d  t | | |  |  t d  | t | | |  | t | | |  |  |  S(   Niú  i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  (   R¢  R£  RÁ  RÂ  R€  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3066<  s    c      	      sw     j  d  t t t | | |  | t | | |  |  | t | | |  | t | | |  |  |  S(   Niû  (   R  R   RH  Rò  Ró  (   R¢  R£  RÁ  RÂ  R€  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3067A  s    c      
      sô    j  d  t | | t d  | t d  t | t | | |  | t | | |  |  t d  t | | |  | t | | |  | t d  |  |  t | | t d  | t d  t | t | | |  | t | | |  |  t d  t | | |  | t d  t | | |  | |  |  t | | | t d  | t d  t | t | | |  | t | | |  |  t | | |  | t d  t | | |  | t d  |  |  S(   Niü  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  (   R  R¢  R£  RÁ  RÂ  R€  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3068F  s    c      
      s     j  d  t t d  |  t | | |  | t | | |  | t | |  t | | |  | t | | |   |  S(   Niý  i   (   R  R€  Rà  Rò  Ró  Rá  (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3069K  s    c      	      sø     j  d  t | t d  | t d  | t | |  t | | |  | t | | |  | t d  |  |  t |  t | | |  | t | | |  | |  t | | |  | t | | |  | t d  | | |  S(   Niþ  i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3070P  s    c      	      sg     j  d  t | t | | |  | | | |  t | | |  | t | | |  |  S(   Niÿ  (   R  R€  Rò  Ró  (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3071U  s    c      
      sk     j  d  t t d  t | t |  t d  | t d   t | | | t |  |    |  S(   Ni   i   i   (   R  R   Rà  Rá  Ró  R=   (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3072Z  s    c      	      s    j  d  t | t d  | t d  | t d  t | |  t | | |  | t | | |  | t d  |  |  t |  t | | |  | t | | |  | |  t | | |  | t | | |  | | | t d  | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3073_  s    c            sp     j  d  t |  | | t t t | |  | |  | |  t | | |  | t | | |   |  S(   Ni  (   R  RÀ  R*   R   Rá  Ró  Rò  (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3074d  s    c      	      sa     j  d  t t | t |  t d  | t d   t | | | t |  |    |  S(   Ni  i   (   R  R   Rá  Rà  Ró  R=   (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3075i  s    c            sG    j  d  t t | |  t | | |  | t | | |   t | |  t | | |  | t | | |  | t |  t d  | t d    t t | | t |  t d  | t d   t |  t d  | t d   t | | | t |  |   | t |  t d  | t d    |  |  S(   Ni  i   (   R  RÀ  Rá  Ró  Rò  Rà  R   R=   (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3076n  s    c            s    j  d  t t d  | t | |  t | | |  | t | | |  | t d  t | t d  | | |  t d  | t d  t | | |  | | t d  | t d  t | | |  |  t d  | t d  | t d  |  |  |  t |  t | | |  | t | | |  | |  t | | |  | t | | |  | t d  | | |  S(   Ni  i   iþÿÿÿi   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3077s  s    c            sž   t  t d  t | t d  | | t d   |  }   j d  t | | t t t d  | | | | |  | t d  | t | t d  | | t d    |  S(   Ni   i   i  (   RŠ   Rà  Rô  R  RÀ  R*   R   (   R£  RÁ  RÂ  R  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3078w  s    ;c      
      s¿   t  t t t d  | t d  | | t d   |  }   j d  t | | t t t d  | |  | | |  | t t t d  | t d  | | t d   |  |  S(   Ni   i   i  i   (   RŠ   Rô  RË  Rà  R  RÀ  R*   R   (   R£  RÁ  RÂ  R  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3079}  s    ?c            sÔ   t  t d  t t t d  | t d  | | t d   |  }   j d  t | | t t t d  | |  | | |  | t d  | t t t d  | t d  | | t d    |  S(   Ni   i   i   i  (   RŠ   Rà  Rô  RË  R  RÀ  R*   R   (   R£  RÁ  RÂ  R  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3080  s    Ic      
      sß   t  t | t d  | | t d   |  }   j d  t t d  | | t t t d  | |  t d  | | | | t d  | t d  | |  |  | t | t d  | | t d   |  |  S(   Ni   i	  i   (   RŠ   Rô  Rà  R  RÀ  R*   R   (   R£  RÁ  RÂ  R  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3081  s    1c            sz     j  d  t |  | | t t t d  | t | |  |  | |  t | | |  | t | | |   |  S(   Ni
  i   (   R  RÀ  R*   R   Rà  Rá  Ró  Rò  (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3082  s    c      
      sk     j  d  t t d  t | t |  t d  | t d   t | | | t |  |    |  S(   Ni  i   i   (   R  R   Rà  Rá  Ró  R=   (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3083  s    c            sQ    j  d  t t | |  t | | |  | t | | |  | t |  t d  | t d    t | |  t | | |  | t | | |   t t d  t | | t |  t d  | t d   t |  t d  | t d   t | | | t |  |   | t |  t d  | t d    |  |  S(   Ni  i   i   (   R  RÀ  Rá  Ró  Rò  Rà  R   R=   (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3084  s    iýÿÿÿc            s,    j  d  t t d  | t d  |  t d  | t d  t t | |  t | | |  | t | | |   |  |  t t d  |  t | | |  | t | | |  | t | |  t | | |  | t | | |   | t d  |  t d  | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Rá  Ró  Rò  R€  (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3085  s    c      
      s§    j  d  t t d  | t d  | t d  |  t d  | t d  t | |  t | | |  | t | | |  | t d  | | t d  |  | t d  t | | |  | | t d  t | | |  |  |  t |  t | | |  | t | | |  | |  t | | |  | t | | |  | t d  | | t d  | t d  |  t d  | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3086€  s    c	   	         s|    j  d  t | t d  | | |  | | | t d  | t d  |  t t d  | | | t d  | t d  |  | | | | t d  |  | | | t t | | t | | |  | t | | |  |   t d  | t d  | | | |  t |  | | | | t | | |  | t | | |  t d  | | | | |  S(   Ni  i   (   R  R€  Rà  t   logR©   Ró  Rò  (	   RN  R£  R¡  R£  RÁ  RÂ  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3087©  s    c            sX    j  d  t | t d  | | |  | t d  | t d  |  t |  t | | |  t d  | | |  t t d  | | | |  | t d  |  | t d  t t | | t | | |  | t | | |  |   t d  | t d  | | |  t |  | t | | |  t d  | | | |  S(   Ni  i   (   R  R€  Rà  Ró  RI  R©   Rò  (   R£  R¡  R£  RÁ  RÂ  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3088®  s    c            sY    j  d  t | t d  | | |  | t d  | t d  |  t |  t | | |  t d  | | |  t t d  | | | |  | t d  |  | t d  t t | | t | | |  | t | | |  |   t d  | t d  | | |  t |  | t | | |  t d  | | | |  S(   Ni  i   (   R  R€  Rà  Rò  RI  R©   Ró  (   RN  R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3089³  s    c	   	   
      sµ     j  d  t | |  | | | | t d  | t d  |  t |  | | | t | | t | | |  | t | | |   | | t d  | t d  |  S(   Ni  i   (   R  R€  Rà  RI  Ró  Rò  (	   RN  R£  R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3090ž  s    c      
      s¥     j  d  t |  | | | t d  | t d  |  t |  | t | | t | | |  | t | | |   | | t d  | t d  |  S(   Ni  i   (   R  R€  Rà  RI  Ró  Rò  (   R£  R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3091œ  s    c      
      s¥     j  d  t |  | | | t d  | t d  |  t |  | t | | t | | |  | t | | |   | | t d  | t d  |  S(   Ni  i   (   R  R€  Rà  RI  Ró  Rò  (   RN  R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3092Â  s    c	   	   
      sP    j  d  t | | t d  | t d  | |  | | | | t d  | t d  t t d  | | t | | |  | t | | |  |  |  t | |  | | | | t d  | t d  |  t |  | | | t | | t | | |  | t | | |   | | t d  | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  RI  (	   RN  R£  R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3093Ç  s    c      
      sD    j  d  t | | t d  | t d  |  | | | t d  | t d  t t d  | | t | | |  | t | | |  |  |  t |  | t | | t | | |  | t | | |   | | t d  | t d  |  t |  | | | | | | t d  | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  RI  (   R£  R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3094Ì  s    c      
      sD    j  d  t | | t d  | t d  |  | | | t d  | t d  t t d  | | t | | |  | t | | |  |  |  t |  | | | | | | t d  | t d  |  t |  | t | | t | | |  | t | | |   | | t d  | t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  RI  (   RN  R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3095Ñ  s    c
   
         s€     j  d  t | | t | |	 |  | t | |	 |  | |  | t | |	 |  |  | | | t | |	 |  | | | |	 | t d  |  S(   Ni  i   (   R  R€  Ró  Rò  Rà  (
   RN  R£  R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3096Ö  s    c	   	         s     j  d  t |  | t | | |  |  | | | t | | |  | t | | |  | | | | t d  |  S(   Ni  i   (   R  R€  Ró  Rò  Rà  (	   R£  R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3097Û  s    c	   	         s     j  d  t |  | t | | |  |  | | | t | | |  | t | | |  | | | | t d  |  S(   Ni  i   (   R  R€  Rò  Ró  Rà  (	   RN  R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3098à  s    c
   
   	      s%    j  d  t | | | t d  | |  | | | | | t d  t | | t | |	 |  | t | |	 |  | |  |  t | | t | |	 |  | t | |	 |  | |  | t | |	 |  |  | | | t | |	 |  | | | |	 | t d  |  S(   Ni  i   (   R  RÀ  Rà  R   Ró  Rò  R€  (
   RN  R£  R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3099å  s    c	   	   	      sû     j  d  t | | | t d  |  | | | | t d  t | | t | | |  | t | | |  | |  |  t |  | t | | |  |  | | | t | | |  | t | | |  | | | | t d  |  S(   Ni  i   (   R  RÀ  Rà  R   Ró  Rò  R€  (	   R£  R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3100ê  s    c	   	   	      sû     j  d  t | | | t d  |  | | | | t d  t | | t | | |  | t | | |  | |  |  t |  | t | | |  |  | | | t | | |  | t | | |  | | | | t d  |  S(   Ni  i   (   R  RÀ  Rà  R   Ró  Rò  R€  (	   RN  R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3101ï  s    c            s     j  d  t |  | | | | t | | |  | t | | |  | t d  | | t d  | t d  | t d  |  S(   Ni  i   i   (   R  R€  Ró  Rò  Rà  (   RN  R£  R£  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3102ô  s    c
   
         s    j  d  t t d  | | t d  t | | t | |	 |  | t | |	 |  | t d  t | | t d  | t d  | | |  | | | | | | | t d  | |  | t d  |  | t d  | | | t | |	 |  | | | | t d  | |  | | | | t d  | | t d  t | |	 |  |  |  |  t | | t | |	 |  | t | |	 |  | |  | t | |	 |  |  | | | t | |	 |  | | | |	 | t d  |  S(   Ni  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (
   RN  R£  R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3103ù  s    c	   	         sº    j  d  t t d  | | t d  t | | t | | |  | t | | |  | t d  t | | t d  | t d  |  | | | | | | | t d  |  | | | t | | |  | | | | t d  |  | t d  | |  | t d  | t | | |  |  |  |  t |  | t | | |  |  | | | t | | |  | t | | |  | | | | t d  |  S(   Ni   i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (	   R£  R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3104þ  s    c	   	         sº    j  d  t t d  | | t d  t | | t | | |  | t | | |  | t d  t | | t d  | t d  |  | | | | | | | t d  |  | | | t | | |  | | | | t d  |  | t d  | |  | t d  | t | | |  |  |  |  t |  | t | | |  |  | | | t | | |  | t | | |  | | | | t d  |  S(   Ni!  i   iÿÿÿÿi   (   R  RÀ  Rà  R   Ró  Rò  R€  (	   RN  R£  RÁ  RÂ  R€  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3105  s    c	   	         sÁ     j  d  t |  | t t | | t | | |  | t | | |   |  |  t | | |  | | t t d  t | | t | | |  | t | | |   |  |  S(   Ni"  i   (   R  RÀ  R   Rá  Ró  Rò  Rà  (	   RN  R£  R¡  R£  RÁ  RÂ  R  R  RM  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3106  s    c	   	   	      sÊ     j  d  t |  | | | | | |  | t | | |  | | | | t | | |  | | | t | | |  | t | | |  | t d  | t d  | t d  |  S(   Ni#  i   (   R  R€  Rò  Ró  Rà  (	   RN  R£  R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3107  s    c      	      sº     j  d  t | | t | | |  |  | | | |  | t | | |  | | | t | | |  | t | | |  | t d  | t d  | t d  |  S(   Ni$  i   (   R  R€  Rò  Ró  Rà  (   R£  R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3108  s    c      	      s¹     j  d  t | | t | | |  |  | | | |  | t | | |  | | | t | | |  | t | | |  | t d  | t d  | t d  |  S(   Ni%  i   (   R  R€  Ró  Rò  Rà  (   RN  R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3109  s    c	   	   
      sW    j  d  t | | |  | | | | t d  | t d  | t d  t t d  | | t | | |  | t | | |  |  |  t |  | | | | | |  | t | | |  | | | | t | | |  | | | t | | |  | t | | |  | t d  | t d  | t d  |  S(   Ni&  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (	   RN  R£  R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3110  s    c      
      s>    j  d  t | | |  | | t d  | t d  | t d  t t d  | | t | | |  | t | | |  |  |  t | | t | | |  |  | | | |  | t | | |  | | | t | | |  | t | | |  | t d  | t d  | t d  |  S(   Ni'  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R£  R£  RÁ  RÂ  R  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3111!  s    c      
      s>    j  d  t | | |  | | t d  | t d  | t d  t t d  | | t | | |  | t | | |  |  |  t | | t | | |  |  | | | |  | t | | |  | | | t | | |  | t | | |  | t d  | t d  | t d  |  S(   Ni(  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   RN  R£  RÁ  R  RÂ  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3112&  s    c
   
         s    j  d  t t d  | t d  | t d  | t d  | t d  t | | t | |	 |  | t | |	 |  | t d  t | t d  | | |  | | | | t d  | | |  | t | |	 |  | t d  | | | | t | |	 |  |  |  |  t | | t | |	 |  | t | |	 |  | t d  |  | | | | | |  | t | |	 |  | | | | t | |	 |  |	 | t d  | t d  | t d  | t d  |  S(   Ni)  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (
   RN  R£  R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3113+  s    c	   	         sç    j  d  t t d  | t d  | t d  | t d  | t d  t | | t | | |  | t | | |  | t d  t | | | t d  t | | |  | t d  | | |  | | t d  | | |  | t | | |  |  |  |  t | | t | | |  | t | | |  | t d  | | t | | |  |  | | | |  | t | | |  | | t d  | t d  | t d  | t d  |  S(   Ni*  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (	   R£  R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement31140  s    c	   	         sç    j  d  t t d  | t d  | t d  | t d  | t d  t | | t | | |  | t | | |  | t d  t | | | t d  t | | |  | t d  | | |  | | t d  | | |  | t | | |  |  |  |  t | | t | | |  | t | | |  | t d  | | t | | |  |  | | | |  | t | | |  | | t d  | t d  | t d  | t d  |  S(   Ni+  i   i   (   R  RÀ  Rà  R   Ró  Rò  R€  (	   RN  R£  RÁ  R  RÂ  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement31155  s    c            sX     j  d  t t | | |  | t | | |  |  | t | | |  |  S(   Ni,  (   R  R   Ró  Rò  (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3116:  s    c            sX     j  d  t t | | |  | t | | |  |  | t | | |  |  S(   Ni-  (   R  R   Rò  Ró  (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3117?  s    c            sJ     j  d  t | t | | |  |  | t | | |  | |  S(   Ni.  (   R  R   Ró  Rò  (   R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3118D  s    c            sJ     j  d  t | t | | |  |  | t | | |  | |  S(   Ni/  (   R  R   Rò  Ró  (   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3119I  s    c      	      sÑ     j  d  t | |  t | | |  | t | | |  | | t | | |  |  | t | | |  | t | | |  | t | t | | |  |  | t | | |  | |  |  S(   Ni0  (   R  RÀ  Ró  Rô  Rò  R   (   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3120N  s    c      	      sÑ     j  d  t | |  t | | |  | t | | |  | | t | | |  |  | t | | |  | t | | |  | t | t | | |  |  | t | | |  | |  |  S(   Ni1  (   R  RÀ  Rò  Rô  Ró  R   (   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3121S  s    c            sK     j  d  t | t | | |  | | t | | |  | |  S(   Ni2  (   R  R   Ró  Rò  (   R¢  R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3122X  s    c            sK     j  d  t | t | | |  | | t | | |  | |  S(   Ni3  (   R  R   Rò  Ró  (   R¢  R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3123]  s    c      	      sÜ     j  d  t | | t | | |  | t | | |  | | t | | |  | | t | | |  | t d  t | | |  | t | t | | |  | | t | | |  | |  |  S(   Ni4  i   (   R  RÀ  Ró  Rô  Rò  Rà  R   (   R¢  R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3124b  s    c      	      sÜ     j  d  t | | t | | |  | t | | |  | | t | | |  | | t | | |  | t d  t | | |  | t | t | | |  | | t | | |  | |  |  S(   Ni5  i   (   R  RÀ  Rò  Rô  Ró  Rà  R   (   R¢  R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3125g  s    c            sÇ     j  d  t | t d  |  t d  t d  |  t | t | | |  t d  |  t d  |  |  t | t | | |  t d  |  t d  | |  t | | |  |  S(   Ni6  i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Rô  (   R  R£  RÁ  RÂ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3126l  s    c            sÇ     j  d  t | t d  |  t d  t d  |  t | t | | |  t d  |  t d  |  |  t | t | | |  t d  |  t | | |  t d  | |  |  S(   Ni7  i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rô  (   R  R£  RÁ  RÂ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3127q  s    c            sé     j  d  t t d  |  t d  | t d  |  t d  t | t | | |  t d  |  t d  |  |  t | t | | |  t d  |  t d  | | t d  |  t d  t | | |  |  S(   Ni8  i   i   (   R  RÀ  Rà  R   Rò  R€  Rô  (   R  R£  RÁ  RÂ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3128v  s    c            sé     j  d  t t d  |  t d  | t d  |  t d  t | t | | |  t d  |  t d  |  |  t | t | | |  t d  |  t d  t | | |  | | t d  |  t d  |  S(   Ni9  i   i   (   R  RÀ  Rà  R   Ró  R€  Rô  (   R  R£  RÁ  RÂ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3129{  s    c            sF     j  d  t | |  t t | | |  t d  |  |  |  S(   Ni:  i   (   R  RÀ  R   Ró  Rà  (   R  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3130  s    c            sF     j  d  t | |  t t | | |  t d  |  |  |  S(   Ni;  i   (   R  RÀ  R   Rò  Rà  (   R  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3131  s    c            s:     j  d  t | t | | |  t d  |  |  S(   Ni<  i   (   R  R   Ró  Rà  (   R  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3132  s    c            s:     j  d  t | t | | |  t d  |  |  S(   Ni=  i   (   R  R   Rò  Rà  (   R  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3133  s    c      	      sÂ   t  t | | |  |  }   j d  t | | t t | | t d  | t d  | | |  | t d  | t d  t d  |  t d  |  | t | | |  |  |  S(   Ni>  i   i   iÿÿÿÿ(   RŠ   Rô  R  RÀ  R*   R   Rà  (   R  R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3134  s    c      	      sÂ   t  t | | |  |  }   j d  t | | t t | t d  | t d  t d  |  t d  | | t d  | t d  | | |  |  | t | | |  |  |  S(   Ni?  i   i   iÿÿÿÿ(   RŠ   Rô  R  RÀ  R*   R   Rà  (   R  R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3135  s    c      	      sm     j  d  t t d  |  t t d  | | t t d  | t d  | |  | |  |  |  S(   Ni@  i   (   R  RÀ  Rà  R   Ró  (   R  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3136   s    c      	      sm     j  d  t t d  |  t t d  | | t t d  | t d  | |  | |  |  |  S(   NiA  i   (   R  RÀ  Rà  R   Ró  (   R  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3137¥  s    c            s8     j  d  t | | t | | |  | |  |  S(   NiB  (   R  R   Rò  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3138ª  s    c            s8     j  d  t | | t | | |  | |  |  S(   NiC  (   R  R   Ró  (   R  R£  RÁ  RÂ  R€  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3139¯  s    c            s  t  t d  t | | |  |  }   j d  t | | t t | t d  | t d  t d  | |  t d  t d  t | | t d  | t d  t d  | t d  | |  |  |  | t d  | t | | |   |  S(   Ni   iD  i   iÿÿÿÿ(   RŠ   Rà  Rô  R  RÀ  R*   R   R1  (   R  R£  RÁ  RÂ  R  R€  R  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3140³  s    'c            sí   t  t | | |  |  }   j d  t | | t t | t d  | t d  t d  | |  t d  t d  t | | t d  | t d  t d  | t d  | |  |  |  | t | | |  |  |  S(   NiE  i   i   iÿÿÿÿ(   RŠ   Rô  R  RÀ  R*   R   Rà  R1  (   R  R£  RÁ  RÂ  R€  R  R  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3141¹  s    c            sP     j  d  t | |  t t |  t | | |  t d  |  |  |  S(   NiF  i   (   R  RÀ  R   RG  Ró  Rà  (   R  R  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3142À  s    c            sP     j  d  t | |  t t |  t | | |  t d  |  |  |  S(   NiG  i   (   R  RÀ  R   RG  Rò  Rà  (   R  R  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3143Å  s    c            s     j  d  t | t | | |  t d  |  t | | |  t d  |  t t |  t | | |  t d  |  |  |  S(   NiH  i   (   R  RÀ  Ró  Rà  R   RG  (   R  R  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3144Ê  s    c            s     j  d  t | t | | |  t d  |  t | | |  t d  |  t t |  t | | |  t d  |  |  |  S(   NiI  i   (   R  RÀ  Rò  Rà  R   RG  (   R  R  R£  RÁ  RÂ  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3145Ï  s    c   	         s  t  t d  t | | |  |  }   j d  t | | t t | t d  | t d  t d  | t d  | |  t d  t d  t | | t d  | t d  t d  | t d  | |  |  |  | t d  | t | | |   |  S(   Ni   iJ  i   iÿÿÿÿ(   RŠ   Rà  Rô  R  RÀ  R*   R   R1  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3146Ó  s    'c   	         sû   t  t | | |  |  }   j d  t | | t t | t d  | t d  t d  | t d  | |  t d  t d  t | | t d  | t d  t d  | t d  | |  |  |  | t | | |  |  |  S(   NiK  i   i   iÿÿÿÿ(   RŠ   Rô  R  RÀ  R*   R   Rà  R1  (	   R  R¢  R£  RÁ  RÂ  R€  R  R  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3147Ù  s    c   	         sï   t  t | | |  |  }   j d  t | | t t | t d  | t d  t d  | t d  t d  d t | | | t d  | t d  t d  | t d  |  |  |  | t | | |  |  |  S(   NiL  i   i   iÿÿÿÿ(   RŠ   Ró  R  RÀ  R*   R   Rà  R1  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3148ß  s    c   	         sî   t  t | | |  |  }   j d  t | | t t | t d  | t d  t d  | t d  t d  d t | | | t d  | t d  t d  | t d  |  |  |  | t | | |  |  |  S(   NiM  i   i   iÿÿÿÿ(   RŠ   Rò  R  RÀ  R*   R   Rà  R1  (	   R  R¢  R£  RÁ  RÂ  R€  R  R  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3149å  s    c            sW     j  d  t t | | t | | |  | |  t | | |  | |  |  S(   NiN  (   R  R   RH  Rò  (   R  R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3150ì  s    c            sW     j  d  t t | | t | | |  | |  t | | |  | |  |  S(   NiO  (   R  R   RH  Ró  (   R  R¢  R£  RÁ  RÂ  R€  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3151ñ  s    c   	         s  t  t | | |  |  }   j d  t | | t t | t d  | t d  t d  | t d  | |  t d  t d  t | | t d  | t d  t d  | t d  | | | | | |  |  |  | t | | |  |  |  S(   NiP  i   i   iÿÿÿÿ(   RŠ   Rô  R  RÀ  R*   R   Rà  R1  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3152õ  s    c   	         s   t  t d  t | | |  |  }   j d  t | | t t | t d  | t d  t d  | t d  | |  t d  t d  t | | t d  | t d  t d  | t d  | | | | | |  |  |  | t d  | t | | |   |  S(   Ni   iQ  i   iÿÿÿÿ(   RŠ   Rà  Rô  R  RÀ  R*   R   R1  (	   R  R¢  R£  RÁ  RÂ  R€  R  R  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3153û  s    'c            sm     j  d  t | | t | | |  | |  t | | |  t d  t d  | t d  |  S(   NiR  i   i   (   R  R   Rò  Rà  (   R  R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3154  s    c            sm     j  d  t | | t | | |  | |  t | | |  t d  t d  | t d  |  S(   NiS  i   i   (   R  R   Ró  Rà  (   R  R¢  R£  RÁ  RÂ  R€  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3155  s    c            sv     j  d  t t | | t | | |  | |  t | | |  t d  t d  | t d  |  |  S(   NiT  i   i   (   R  R   RH  Rò  Rà  (   R  R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3156  s    c            sv     j  d  t t | | t | | |  | |  t | | |  t d  t d  | t d  |  |  S(   NiU  i   i   (   R  R   RH  Ró  Rà  (   R  R¢  R£  RÁ  RÂ  R€  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3157  s    c	   
   	      sÀ   t  t | | |  |  }	   j d  t |	 | t t | | | |	 | | |  |	 t d  | t d  t d  | t d  t d  d |  | t | | |  |	  |  S(   NiV  i   i   iÿÿÿÿ(   RŠ   Rò  R  RÀ  R*   R   Rà  (
   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3158  s    c	   
   	      sÁ   t  t | | |  |  }	   j d  t |	 | t t | | | |	 | | |  |	 t d  | t d  t d  | t d  t d  d |  | t | | |  |	  |  S(   NiW  i   i   iÿÿÿÿ(   RŠ   Ró  R  RÀ  R*   R   Rà  (
   R  R¢  R£  RÁ  RÂ  R€  R  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3159  s    c	   
   	      s×   t  t | | |  |  }	   j d  t |	 | t d  | t t | | | | | |	 | | |  |	 t d  | t d  t d  | t d  t d  d |  | t | | |  |	  |  S(   NiX  i   i   iÿÿÿÿ(   RŠ   Rò  R  RÀ  Rà  R*   R   (
   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3160!  s    c	   
   	      sØ   t  t | | |  |  }	   j d  t |	 | t d  | t t | | | | | |	 | | |  |	 t d  | t d  t d  | t d  t d  d |  | t | | |  |	  |  S(   NiY  i   i   iÿÿÿÿ(   RŠ   Ró  R  RÀ  Rà  R*   R   (
   R  R¢  R£  RÁ  RÂ  R€  R  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3161'  s    c   	         s  t  t | | |  |  }   j d  t | | t d  | t t | | | t d  | t d  t d  | |  t d  t d  t | | t d  | t d  t d  | t d  | | | | | |  |  |  | t | | |  |  |  S(   NiZ  i   i   iÿÿÿÿ(   RŠ   Rô  R  RÀ  Rà  R*   R   R1  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3162-  s    c   	         s(  t  t d  t | | |  |  }   j d  t | | t d  | t t | | | t d  | t d  t d  | |  t d  t d  t | | t d  | t d  t d  | t d  | | | | | |  |  |  | t d  | t | | |   |  S(   Ni   i[  i   iÿÿÿÿ(   RŠ   Rà  Rô  R  RÀ  R*   R   R1  (	   R  R¢  R£  RÁ  RÂ  R€  R  R  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With31633  s    'c   	         s+  t  t | | |  |  }   j d  t | | t d  | t t | | | t d  | t d  t d  | t d  t | | t d  | t d  t d  | t d  | | | | | |  |  | t d  | t d  t d  |  | t | | |  |  |  S(   Ni\  i   i   (   RŠ   Rô  R  RÀ  Rà  R*   R   R1  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With31649  s    c   	         s@  t  t d  t | | |  |  }   j d  t | | t d  | t t | | | t d  | t d  t d  | t d  t | | t d  | t d  t d  | t d  | | | | | |  |  | t d  | t d  t d  |  | t d  | t | | |   |  S(   Ni   i]  i   (   RŠ   Rà  Rô  R  RÀ  R*   R   R1  (	   R  R¢  R£  RÁ  RÂ  R€  R  R  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3165?  s    'c
            sW  t  t d  t | |	 |  |  }
   j d  t |
 |	 t t |
 t d  | t d  t d  | t d  | | t d  t d  t | |
 t d  | t d  t d  | t d  | |
 t d  | t d  t d  |  t d  | t d  | |  | |  | t d  |
 t | |	 |   |  S(   Ni   i^  i   iÿÿÿÿ(   RŠ   Rà  Rô  R  RÀ  R*   R   R1  (   R  R¢  R£  RÁ  RÂ  R  R€  R  Rð  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3166E  s    'c
            sB  t  t | |	 |  |  }
   j d  t |
 |	 t t |
 t d  | t d  t d  | t d  | | t d  t d  t | |
 t d  | t d  t d  | t d  | |
 t d  | t d  t d  |  t d  | t d  | |  | |  | t | |	 |  |
  |  S(   Ni_  i   i   iÿÿÿÿ(   RŠ   Rô  R  RÀ  R*   R   Rà  R1  (   R  R¢  R£  RÁ  RÂ  R  R€  R  Rð  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3167K  s    c
            sf  t  t d  t | |	 |  |  }
   j d  t |
 |	 t t |
 t d  | t d  t d  | t d  | |  t d  t d  t | |
 t d  | t d  t d  |  t d  | |
 |  | |  | |
 t d  | t d  t d  |  t d  | t d  |  | |  | t d  |
 t | |	 |   |  S(   Ni   i`  i   iÿÿÿÿ(   RŠ   Rà  Rô  R  RÀ  R*   R   R1  (   R  R¢  R£  RÁ  RÂ  R  R€  R  Rð  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3168Q  s    'c
            sQ  t  t | |	 |  |  }
   j d  t |
 |	 t t |
 t d  | t d  t d  | t d  | |  t d  t d  t | |
 t d  | t d  t d  |  t d  | |
 |  | |  | |
 t d  | t d  t d  |  t d  | t d  |  | |  | t | |	 |  |
  |  S(   Nia  i   i   iÿÿÿÿ(   RŠ   Rô  R  RÀ  R*   R   Rà  R1  (   R  R¢  R£  RÁ  RÂ  R  R€  R  Rð  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3169W  s    R  c	   	   	      sl     j  d  t t d  |  | |  t | t d  | t | | |  | t d  |  |  |  S(   Nib  i   i   (   R  RÀ  Rà  R   Rò  (	   R  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3170^  s    c	   	   	      sl     j  d  t t d  |  | |  t | t d  | t | | |  | t d  |  |  |  S(   Nic  i   i   (   R  RÀ  Rà  R   Ró  (	   R  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3171c  s    c	   	   
      sÕ     j  d  t | t d  | t | | |  | t d  |  | | t | | |  | | t | | |  t d  | |  t t | t d  | t | | |  | t d  |  |  |  S(   Nid  i   (   R  RÀ  Rà  Rò  R   R  (	   R  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3172h  s    c	   	   
      sÕ     j  d  t | t d  | t | | |  | t d  |  | | t | | |  | | t | | |  t d  | |  t t | t d  | t | | |  | t d  |  |  |  S(   Nie  i   (   R  RÀ  Rà  Ró  R   R  (	   R  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3173m  s    c   	         sñ   t  t d  | | |  t d  t d   }   j d  t t d  | | t t d  |  t d  | t | | |  | | |  |  t t d  | | t t d  |  t d  | t | | |  | | |  |  S(   Ni   i   if  i   (   R  Rà  R  RÀ  R   Rò  (	   R£  R  RÁ  R  R€  RÂ  R  R¡  Rð  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3174q  s    2c   	         sñ   t  t d  | | |  t d  t d   }   j d  t t d  | | t t d  |  t d  | t | | |  | | |  |  t t d  | | t t d  |  t d  | t | | |  | | |  |  S(   Ni   i   ig  i   (   R  Rà  R  RÀ  R   Ró  (	   R£  R  RÁ  R  R€  RÂ  R  R¡  Rð  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3175w  s    2c
   
   	      s     j  d  t t d  |  | |  t | t d  | t | |	 |  | t d  |  t | |	 |  | |  |  S(   Nih  i   i   (   R  RÀ  Rà  R   Rò  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3176~  s    c
   
   	      s     j  d  t t d  |  | |  t | t d  | t | |	 |  | t d  |  t | |	 |  | |  |  S(   Nii  i   i   (   R  RÀ  Rà  R   Ró  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3177  s    c
   
   	      sç     j  d  t | t d  | t | |	 |  | t d  |  | | t | |	 |  | | t | |	 |  t d  | |  t | t d  | t | |	 |  | t d  |  t | |	 |  | |  |  S(   Nij  i   (   R  RÀ  Rà  Rò  R   (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3178  s    c
   
   	      sç     j  d  t | t d  | t | |	 |  | t d  |  | | t | |	 |  | | t | |	 |  t d  | |  t | t d  | t | |	 |  | t d  |  t | |	 |  | |  |  S(   Nik  i   (   R  RÀ  Rà  Ró  R   (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3179  s    c
            s  t  t d  t | |	 |  |  }
   j d  t |
 |	 t t |
 t d  | t d  t d  | t d  | |  t d  t | | t d  t d  | | | t d  t d  | t d  | |  |  |  | t d  |
 t | |	 |   |  S(   Ni   il  i   iÿÿÿÿ(   RŠ   Rà  Rô  R  RÀ  R*   R   R1  (   R  R¢  R£  R  RÁ  RÂ  R  R€  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3180  s    'c
            s  t  t | |	 |  |  }
   j d  t |
 |	 t t |
 t d  | t d  t d  | t d  | |  t d  t | | t d  t d  | | | t d  t d  | t d  | |  |  |  | t | |	 |  |
  |  S(   Nim  i   i   iÿÿÿÿ(   RŠ   Rô  R  RÀ  R*   R   Rà  R1  (   R  R¢  R£  R  RÁ  R  RÂ  R€  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3181  s    c
   
         s{     j  d  t t | | t | |	 |  | | t | |	 |  t d  | |  t | |	 |  | |  |  S(   Nin  i   (   R  R   RH  Rò  Rà  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3182  s    c
   
         s{     j  d  t t | | t | |	 |  | | t | |	 |  t d  | |  t | |	 |  | |  |  S(   Nio  i   (   R  R   RH  Ró  Rà  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3183£  s    c      
      sÞ   t  t | |
 |	  |	  }   j d  t | |
 t t | t d  |	 t d  t d  | t d  t d  d | | | | |	 | | | | |	 t d  | |  |	  |	 t | |
 |	  |  |	  S(   Nip  i   i   iÿÿÿÿ(   RŠ   Rò  R  RÀ  R*   R   Rà  (   R  R¢  R   R£  R  RÁ  R  R€  RÂ  R  R¡  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3184§  s    c      
      sß   t  t | |
 |	  |	  }   j d  t | |
 t t | t d  |	 t d  t d  | t d  t d  d | | | | |	 | | | | |	 t d  | |  |	  |	 t | |
 |	  |  |	  S(   Niq  i   i   iÿÿÿÿ(   RŠ   Ró  R  RÀ  R*   R   Rà  (   R  R¢  R   R£  R  RÁ  R  R€  RÂ  R  R¡  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3185­  s    c
   
   	      s     j  d  t t d  |  | |  t | t d  | t | |	 |  | t d  |  t | |	 |  | |  |  S(   Nir  i   i   (   R  RÀ  Rà  R   Rò  Ró  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3186Ž  s    c
   
   	      s     j  d  t t d  |  | |  t | t d  | t | |	 |  | t d  |  t | |	 |  | |  |  S(   Nis  i   i   (   R  RÀ  Rà  R   Ró  Rò  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3187¹  s    c
   
   	      sç     j  d  t | t d  | t | |	 |  | t d  |  | | t | |	 |  | | t | |	 |  t d  | |  t | t d  | t | |	 |  | t d  |  t | |	 |  | |  |  S(   Nit  i   (   R  RÀ  Rà  Rò  R   Ró  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3188Ÿ  s    c
   
   	      sç     j  d  t | t d  | t | |	 |  | t d  |  | | t | |	 |  | | t | |	 |  t d  | |  t | t d  | t | |	 |  | t d  |  t | |	 |  | |  |  S(   Niu  i   (   R  RÀ  Rà  Ró  R   Rò  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3189Ã  s    c
            s.  t  t d  t | |	 |  |  }
   j d  t |
 | t d  |	 t t | | |
 t d  | t d  t d  | t d  | |  t d  t | | t d  t d  | | | t d  t d  | t d  | |  |  |  | t d  |
 t | |	 |   |  S(   Ni   iv  i   iÿÿÿÿ(   RŠ   Rà  Rô  R  RÀ  R*   R   R1  (   R  R¢  R£  R  RÁ  RÂ  R  R€  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3190Ç  s    'c
            s  t  t | |	 |  |  }
   j d  t |
 | t d  |	 t t | | |
 t d  | t d  t d  | t d  | |  t d  t | | t d  t d  | | | t d  t d  | t d  | |  |  |  | t | |	 |  |
  |  S(   Niw  i   i   iÿÿÿÿ(   RŠ   Rô  R  RÀ  Rà  R*   R   R1  (   R  R¢  R£  R  RÁ  RÂ  R  R€  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3191Í  s    c
   
   	      s     j  d  t t t | |	 |  t d  t d  | t d  | | t | |	 |  | | t | |	 |  t d  | |  |  |  S(   Nix  i   i   (   R  R   RH  Rò  Rà  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3192Ô  s    c
   
   	      s     j  d  t t t | |	 |  t d  t d  | t d  | | t | |	 |  | | t | |	 |  t d  | |  |  |  S(   Niy  i   i   (   R  R   RH  Ró  Rà  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3193Ù  s    c      
      sõ   t  t | |
 |	  |	  }   j d  t | | t d  |
 t t |	 | | t d  |	 t d  t d  | t d  t d  d | | | | |	 | | | | |	 t d  | |  |	  |	 t | |
 |	  |  |	  S(   Niz  i   i   iÿÿÿÿ(   RŠ   Rò  R  RÀ  Rà  R*   R   (   R  R¢  R   R£  R  RÁ  RÂ  R  R€  R  R¡  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3194Ý  s    c      
      sö   t  t | |
 |	  |	  }   j d  t | | t d  |
 t t |	 | | t d  |	 t d  t d  | t d  t d  d | | | | |	 | | | | |	 t d  | |  |	  |	 t | |
 |	  |  |	  S(   Ni{  i   i   iÿÿÿÿ(   RŠ   Ró  R  RÀ  Rà  R*   R   (   R  R¢  R   R£  R  RÁ  RÂ  R€  R  R  R¡  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3195ã  s    c
   
   	      s     j  d  t t d  |  | |  t | t d  | t | |	 |  | t d  |  t | |	 |  | |  |  S(   Ni|  i   i   (   R  RÀ  Rà  R   Rò  Rô  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3196ê  s    c
   
   	      s     j  d  t t d  |  | |  t | t d  | t | |	 |  | t d  |  t d  t | |	 |  | |  |  S(   Ni}  i   i   i   (   R  RÀ  Rà  R   Ró  Rô  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3197ï  s    c
   
   	      sç     j  d  t | t d  | t | |	 |  | t d  |  | | t | |	 |  | | t | |	 |  t d  | |  t | t d  | t | |	 |  | t d  |  t | |	 |  | |  |  S(   Ni~  i   (   R  RÀ  Rà  Rò  R   Rô  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3198ô  s    c
   
   	      sñ     j  d  t | t d  | t | |	 |  | t d  |  | | t | |	 |  | | t | |	 |  t d  | |  t | t d  | t | |	 |  | t d  |  t d  t | |	 |  | |  |  S(   Ni  i   i   (   R  RÀ  Rà  Ró  R   Rô  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3199ù  s    c
            s%  t  t | |	 |  |  }
   j d  t |
 | t d  |	 t t | | |
 t d  | t d  t d  | |  t d  t | | t d  t d  | | | | | t d  t d  | t d  | | t d  | |  |  |  | t | |	 |  |
  |  S(   Ni  i   i   iÿÿÿÿ(   RŠ   Rô  R  RÀ  Rà  R*   R   R1  (   R  R¢  R£  R  RÁ  RÂ  R  R€  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3200ý  s    c
            s:  t  t d  t | |	 |  |  }
   j d  t |
 | t d  |	 t t | | |
 t d  | t d  t d  | |  t d  t | | t d  t d  | | | | | t d  t d  | t d  | | t d  | |  |  |  | t d  |
 t | |	 |   |  S(   Ni   i  i   iÿÿÿÿ(   RŠ   Rà  Rô  R  RÀ  R*   R   R1  (   R  R¢  R£  R  RÁ  R  RÂ  R€  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3201  s    'c
   
   	      s±     j  d  t t t | |	 |  t d  t d  | t d  | | t | |	 |  | | t | |	 |  t d  | |  t | |	 |  | |  |  S(   Ni  i   i   (   R  R   RH  Rò  Rà  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3202
  s    c
   
   	      s±     j  d  t t t | |	 |  t d  t d  | t d  | | t | |	 |  | | t | |	 |  t d  | |  t | |	 |  | |  |  S(   Ni  i   i   (   R  R   RH  Ró  Rà  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3203  s    c      
      sõ   t  t | |
 |	  |	  }   j d  t | | t d  |
 t t |	 | | t d  |	 t d  t d  | t d  t d  d | | | | |	 | | | | |	 t d  | |  |	  |	 t | |
 |	  |  |	  S(   Ni  i   i   iÿÿÿÿ(   RŠ   Rò  R  RÀ  Rà  R*   R   (   R  R¢  R   R£  R  RÁ  RÂ  R  R€  R  R¡  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3204  s    c      
      sö   t  t | |
 |	  |	  }   j d  t | | t d  |
 t t |	 | | t d  |	 t d  t d  | t d  t d  d | | | | |	 | | | | |	 t d  | |  |	  |	 t | |
 |	  |  |	  S(   Ni  i   i   iÿÿÿÿ(   RŠ   Ró  R  RÀ  Rà  R*   R   (   R  R¢  R   R£  R  RÁ  RÂ  R€  R  R  R¡  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3205  s    c
   
   	      s     j  d  t t d  |  | |  t | t d  | t | |	 |  | t d  |  t d  t | |	 |  | |  |  S(   Ni  i   i   i   (   R  RÀ  Rà  R   Rò  Rô  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3206   s    c
   
   	      s     j  d  t t d  |  | |  t | t d  | t | |	 |  | t d  |  t | |	 |  | |  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  Rô  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3207%  s    c
   
   	      sñ     j  d  t | t d  | t | |	 |  | t d  |  | | t | |	 |  | | t | |	 |  t d  | |  t | t d  | t | |	 |  | t d  |  t d  t | |	 |  | |  |  S(   Ni  i   i   (   R  RÀ  Rà  Rò  R   Rô  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3208*  s    c
   
   	      sç     j  d  t | t d  | t | |	 |  | t d  |  | | t | |	 |  | | t | |	 |  t d  | |  t | t d  | t | |	 |  | t d  |  t | |	 |  | |  |  S(   Ni  i   (   R  RÀ  Rà  Ró  R   Rô  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3209/  s    c
            s<  t  t d  t | |	 |  |  }
   j d  t |
 | t d  |	 t t | | |
 t d  | t d  t d  | |  t d  t | |
 t d  | t d  t d  | | |
 t d  | t d  t d  | t d  | |  |  |  | t d  |
 t | |	 |   |  S(   Ni   i  i   iÿÿÿÿ(   RŠ   Rà  Rô  R  RÀ  R*   R   R1  (   R  R¢  R£  R  RÁ  RÂ  R  R€  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With32103  s    'c
            s'  t  t | |	 |  |  }
   j d  t |
 | t d  |	 t t | | |
 t d  | t d  t d  | |  t d  t | |
 t d  | t d  t d  | | |
 t d  | t d  t d  | t d  | |  |  |  | t | |	 |  |
  |  S(   Ni  i   i   iÿÿÿÿ(   RŠ   Rô  R  RÀ  Rà  R*   R   R1  (   R  R¢  R£  R  RÁ  RÂ  R€  R  R  R¡  R   (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With32119  s    c
   
   	      s±     j  d  t t t | |	 |  t d  t d  | t d  | | t | |	 |  | | t | |	 |  t d  | |  t | |	 |  | |  |  S(   Ni  i   i   (   R  R   RH  Rò  Rà  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3212@  s    c
   
   	      s±     j  d  t t t | |	 |  t d  t d  | t d  | | t | |	 |  | | t | |	 |  t d  | |  t | |	 |  | |  |  S(   Ni  i   i   (   R  R   RH  Ró  Rà  (
   R  R¢  R£  R  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3213E  s    c	   	   
      s     j  d  t t d  | | | t | |  t | | |  | t d  | t | | |  t d  | |  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Rò  (	   RN  R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3214J  s    c	   	   
      s     j  d  t t d  | | | t | |  t | | |  | t d  | t | | |  t d  | |  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  (	   RN  R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3215O  s    c	   	   
      sÛ     j  d  t | t d  | t | | |  t d  | | | t | | |  | t | | |  t d  | t | |  t | | |  | t d  | t | | |  t d  | |  |  S(   Ni  i   (   R  RÀ  Rà  Rò  R   (	   RN  R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3216T  s    c	   	   
      sÛ     j  d  t | t d  | t | | |  t d  | | | t | | |  | t | | |  t d  | t | |  t | | |  | t d  | t | | |  t d  | |  |  S(   Ni  i   (   R  RÀ  Rà  Ró  R   (	   RN  R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3217Y  s    c   	         s  t  t d  | | | t d  t d   }   j d  t |  t d  | | |  | | t t d  | t d  | t | | |  | |  |  t |  t d  | | |  | | t t d  | t d  | t | | |  | |  |  S(   Ni   i   i  i   (   R  Rà  R  RÀ  R   Rò  (	   RN  R£  RÁ  R  RÂ  RM  R  R¡  Rð  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3218]  s    2c   	         s  t  t d  | | | t d  t d   }   j d  t |  t d  | | |  | | t t d  | t d  | t | | |  | |  |  t |  t d  | | |  | | t t d  | t d  | t | | |  | |  |  S(   Ni   i   i  i   (   R  Rà  R  RÀ  R   Ró  (	   RN  R£  RÁ  RÂ  R  RM  R  R¡  Rð  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3219c  s    2c	   	   	      sw     j  d  t t | |  t | | |  | | t | | |  | t | | |  t d  | |  |  S(   Ni  i   (   R  R   RH  Rò  Rà  (	   RN  R£  RÁ  R  RÂ  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3220j  s    c	   	   	      sw     j  d  t t | |  t | | |  | | t | | |  | t | | |  t d  | |  |  S(   Ni  i   (   R  R   RH  Ró  Rà  (	   RN  R£  RÁ  RÂ  R  R€  RM  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3221o  s    c            s     j  d  t | |  | t | | | |  t d  t | | |  |  |  t | | | |  t | | |  | |  S(   Ni  iÿÿÿÿ(   R  RÀ  R   Rà  Ró  R€  (   R¢  R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3222t  s    c            s     j  d  t | |  | t | | | |  t d  t | | |  |  |  t | | | |  t | | |  | |  S(   Ni  iÿÿÿÿ(   R  RÀ  R   Rà  Rò  R€  (   R¢  R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3223y  s    c            sš     j  d  t | | |  t d  t | | | |  t d  t | | |  |  |  t | | | |  t d  t | | |  | |  t d  |  S(   Ni  i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3224~  s    c            s§     j  d  t | | |  t d  t | | | |  t d  t | | |  |  |  t | | | |  t d  t | | |  | |  t d  |  S(   Ni  i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3225  s    c            s,     j  d  t t | |  |  | |  S(   Ni  (   R  R€  RÇ  (   R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3226  s    c            s,     j  d  t t | |  |  | |  S(   Ni  (   R  R€  RÆ  (   R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3227  s    c            s±     j  d  t t | |  | | |  t t | |  | |  |  | | | |  |  t t | |  | | |  t t | |  | |  |  | | | |  |  S(   Ni  (   R  RÀ  Rò  R   Ró  (   R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3228  s    c            s²     j  d  t t | |  | | |  t t | |  | |  |  | | | |  |  t t | |  | | |  t t | |  | |  |  | | | |  |  S(   Ni  (   R  RÀ  Rò  R   Ró  (   R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3229  s    c      	      sb     j  d  t t d  | t t t |  | t d  |  |  | t | | |   |  S(   Ni  i   (   R  RÀ  Rà  R*   R   Rò  Rá  (   R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3230  s    c      	      sb     j  d  t t d  | t t t |  | t d  |  |  | t | | |   |  S(   Ni  i   (   R  RÀ  Rà  R*   R   Ró  Rá  (   R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3231¡  s    c      	      sœ     j  d  t t | |  | | |  t t | |  | |  |  t | | |  |  |  t t | |  | | |  t t | |  | |  |  t | | |  |  |  S(   Ni   (   R  RÀ  Rò  R   Ró  Rá  (   R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3232Š  s    c      	      sŸ     j  d  t t | |  | | |  t t | |  | |  |  t | | |  |  |  t t | |  | | |  t t | |  | |  |  t | | |  |  |  S(   Ni¡  (   R  RÀ  Rò  R   Rá  Ró  (   R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3233«  s    c      
      s     j  d  t t t d  t | | | |  t t | | |  |  |  t t t d  t | | | |  t t | | |  |  |  S(   Ni¢  i   (   R  RÀ  Rç  Rà  R   t   exp(   R¢  R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3234°  s    c      
      s     j  d  t t d  d t | | | |  t t | | |  |  |  t t d  d t | | | |  t t | | |  |  |  S(   Ni£  i   i   (   R  RÀ  Rà  R   RÝ  Rç  (   R¢  R   RÁ  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3235µ  s    c            s    j  d  t | t d  | t d  | t | t | |  |  | t d  | | | |  |  t | | t | |  |  | |  t d  | t d  |  t | | t | |  |  | t d  | | | t | |  |  |  | |  S(   Ni€  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R   R£  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3236º  s    c            s    j  d  t | t d  | t d  | t | t | |  |  | t d  | | | |  |  t | | t | |  |  | |  t d  | t d  |  t | | t | |  |  | t d  | | | t | |  |  |  | |  S(   Ni¥  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R   R£  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3237¿  s    c      	      s¯    j  d  t | t d  | t d  | t | t | | |  | t d  | | | |  |  |  t | t d  |  |  t d  | t d  | t d  t | t | | |  | | | | |  t d  |  |  t | | t | | |  | t d  | | | |  t | | |  | | |  t | |  | t | | |  | | | | |  t d  | t d  | t d  |  S(   NiŠ  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3238Ä  s    c      	      s¯    j  d  t | t d  | t d  | t | t | | |  | t d  | | | |  |  |  t | t d  |  |  t d  | t d  | t d  t | t | | |  | | | | |  t d  |  |  t | | t | | |  | t d  | | | |  t | | |  | | |  t | |  | t | | |  | | | | |  t d  | t d  | t d  |  S(   Ni§  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3239É  s    c            sD     j  d  t t | | | |  t | | |  | |  |  S(   Niš  (   R  R   Rc  Rò  (   R¢  R   RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3240Î  s    c            sD     j  d  t t | | | |  t | | |  | |  |  S(   Ni©  (   R  R   Rc  Ró  (   R¢  R   RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3241Ó  s    c      
      sØ     j  d  t | | | |  t d  t t | | | |  t d  t | | |  | t d  t | | |  |  |  |  t | | | |  t d  t | | |  | | |  t d  |  S(   Niª  i   iÿÿÿÿ(   R  RÀ  Rà  R   Rc  Rò  Ró  R€  (   R¢  R   RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3242Ø  s    c      
      s×     j  d  t | | | |  t d  t t | | | |  t d  t | | |  t | | |  | t d  |  |  |  t | | | |  t d  t | | |  | | |  t d  |  S(   Ni«  i   iÿÿÿÿ(   R  RÀ  Rà  R   Rc  Rò  Ró  R€  (   R¢  R   RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3243Ý  s    c      	      s    j  d  t | t d  | t d  | t d  |  t d  |  t d  t | t | | |  | | | | |  t d  |  |  t | t d  | t d  | | t d  | t d  |  t d  |  t d  t | t | | |  | t d  | | | |  t d  |  |  t | t | | |  | | | | |  t d  | |  t d  |  t | | | | t | | |  | t d  | | | |  t d  t | | |  | t d  |  t d  |  t d  |  S(   Ni¬  i   i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3244â  s    c      	      s    j  d  t | t d  | t d  | t d  |  t d  |  t d  t | t | | |  | | | | |  t d  |  |  t | t d  | t d  | | t d  | t d  |  t d  |  t d  t | t | | |  | t d  | | | |  t d  |  |  t | t | | |  | | | | |  t d  | |  t d  |  t | | | | t | | |  | t d  | | | |  t d  t | | |  | t d  |  t d  |  t d  |  S(   Ni­  i   i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3245ç  s    c            sB    j  d  t | t d  | t d  | t d  t | t | |  |  | t d  | | | |  |  t | | t | |  |  | t d  | t d  |  t d  | t d  | t d  |  t | t | |  |  | t d  | | | t | |  |  | |  | t d  |  S(   Ni®  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R   R£  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3246ì  s    c            sB    j  d  t | t d  | t d  | t d  t | t | |  |  | t d  | | | |  |  t | | t | |  |  | t d  | t d  |  t d  | t d  | t d  |  t | t | |  |  | t d  | | | t | |  |  | |  | t d  |  S(   Ni¯  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R   R£  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3247ñ  s    c      	      s    j  d  t | t d  | t d  | t d  t | t | | |  | t d  | | | |  |  |  t | t d  |  |  t d  | t d  | t d  | t d  | t d  t | t | | |  | t d  | | | |  t d  |  |  t | t | | |  | t d  | | | |  t | | |  | | | t d  |  t | |  | t | | |  | t d  | | | |  t d  | t d  | t d  | t d  | t d  |  S(   Ni°  i   i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R   R£  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3248ö  s    c      	      s    j  d  t | t d  | t d  | t d  t | t | | |  | t d  | | | |  |  |  t | t d  |  |  t d  | t d  | t d  | t d  | t d  t | t | | |  | t d  | | | |  t d  |  |  t | t | | |  | t d  | | | |  t | | |  | | | t d  |  t | |  | t | | |  | t d  | | | |  t d  | t d  | t d  | t d  | t d  |  S(   Ni±  i   i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R   R£  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3249û  s    c	   	   	      sL     j  d  t t | | | |  | | t | | |  | |  |  S(   Ni²  (   R  R   RÊ   Rò  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3250   s    c	   	   	      sL     j  d  t t | | | |  | | t | | |  | |  |  S(   Ni³  (   R  R   RÊ   Ró  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3251  s    c	   	   	      s     j  d  t t d  | | t | | | |  t t | t d  | | t d  | | t d   t d  | |  |  S(   NiŽ  i   i   (   R  RÀ  Rà  R   Ró  RË  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3252
  s    c	   	   	      s    j  d  t t d  | t |  | | t | | |  t |  t t | t d  | | t d  | | t d   t d  t |  t | | | |  t t | t d  | | t d  | | t d   t d  | |  |  S(   Niµ  i   i   (	   R  RÀ  Rà  R$   Rò  R%   Ró  RË  R   (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3253  s    c	   	   	      st     j  d  t t d  | | t | | | |  t | t d  | | t d   t d  | |  |  S(   Ni¶  i   (   R  RÀ  Rà  R   Ró  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3254  s    c	   	   	      st     j  d  t t d  | | t | | | |  t | t d  | | t d   t d  | |  |  S(   Ni·  i   (   R  RÀ  Rà  R   Rò  (	   R¢  R   R£  RÁ  RÂ  R€  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3255  s    c	   	   	      sÙ     j  d  t t d  | t |  | | t | | |  t |  t | t d  | | t d   t d  t |  t | | | |  t | t d  | | t d   t d  | |  |  S(   Niž  i   (   R  RÀ  Rà  R$   Ró  R%   R   (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3256  s    c	   	   	      sÙ     j  d  t t d  | t |  | | t | | |  t |  t | t d  | | t d   t d  t |  t | | | |  t | t d  | | t d   t d  | |  |  S(   Ni¹  i   (   R  RÀ  Rà  R$   Ró  R%   Rò  R   (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3257#  s    c            s¢     j  d  t t d  t | | | |  t t | | |  t d  | t t | | |  t | t t d  t | | |  t | |  |  S(   Niº  i   (   R  RÀ  Rà  R   RÝ  Rç  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3258(  s    c            s     j  d  t t d  t | | | |  t t | | |  t d  | t t | | |  | t t d  t | | |  | |  |  S(   Ni»  i   (   R  RÀ  Rà  R   RÝ  Rç  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3259-  s    c            sT    j  d  t | | t d  | t d  t | | | |  | | t | | |  |  |  t | | |  | | t d  | t d  t | | | |  t d  t | | |  | | t | | |  |  |  t | | | | |  t | | |  | | | t | | |  | t d  | t d  |  S(   NiŒ  i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement32602  s    c            sT    j  d  t | | t d  | t d  t | | | |  | | t | | |  |  |  t | | |  | | t d  | t d  t | | | |  t d  t | | |  | | t | | |  |  |  t | | | | |  t | | |  | | | t | | |  | t d  | t d  |  S(   Niœ  i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement32617  s    c	   	   
      s1    j  d  t | | t d  | t d  t | | t | | |  | t d  | | | |  |  |  t | | t d  | t d  | t d  | t d  t | | t | | |  | t d  | | | |  t | | |  |  |  t | | |  | | t d  | t d  | t d  t | | t | | |  | t d  | | | |  t d  t | | |  |  |  t | | | t | | |  | t d  | | | |  t | | |  | | t d  | t d  | t d  |  S(   NiŸ  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3262<  s    c	   	   
      s1    j  d  t | | t d  | t d  t | | t | | |  | t d  | | | |  |  |  t | | t d  | t d  | t d  | t d  t | | t | | |  | t d  | | | |  t | | |  |  |  t | | |  | | t d  | t d  | t d  t | | t | | |  | t d  | | | |  t d  t | | |  |  |  t | | | t | | |  | t d  | | | |  t | | |  | | t d  | t d  | t d  |  S(   Ni¿  i   i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3263A  s    c            sF     j  d  t | | t t |  |   | t | |  | |  S(   NiÀ  (   R  R   Rò  R1  (   t   vR  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3264F  s    c            sF     j  d  t | | t t |  |   | t | |  | |  S(   NiÁ  (   R  R   Ró  R1  (   Rü  R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3265K  s    c	   	         sD     j  d  t | | t | | |  | | | | |  |  S(   NiÂ  (   R  R   Rò  (	   R¢  R   R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3266P  s    c	   	         sD     j  d  t | | t | | |  | | | | |  |  S(   NiÃ  (   R  R   Ró  (	   R¢  R   R£  RÁ  R  R€  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3267U  s    c            sD     j  d  t t t | | |  | | | | |  |  |  S(   NiÄ  (   R  R   RÊ   Rò  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3268Z  s    c            sD     j  d  t t t | | |  | | | | |  |  |  S(   NiÅ  (   R  R   RÊ   Ró  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3269_  s    c      	      sM    j  d  t | | | |  t d  t | | t d  | | | | |  t d  t | | |  |  |  t | t d  | | |  t d  t | | | | | | |  t d  t | | |  |  |  t | | t d  | | | | |  t d  t | | |  | | |  t d  |  S(   NiÆ  i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3270d  s    c      	      sL    j  d  t | | | |  t d  t | | t d  | | | | |  t d  t | | |  |  |  t | t d  | | |  t d  t | | | | | | |  t d  t | | |  |  |  t | | t d  | | | | |  t d  t | | |  | | |  t d  |  S(   NiÇ  i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3271i  s    c            sD     j  d  t t t | | |  | | | | |  |  |  S(   NiÈ  (   R  R   RÊ   Rò  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3272n  s    c            sD     j  d  t t t | | |  | | | | |  |  |  S(   NiÉ  (   R  R   RÊ   Ró  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3273s  s    c            sI     j  d  t | | |  | | | | |  t | | |  |  S(   NiÊ  (   R  R   Rò  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3274x  s    c            sI     j  d  t | | |  | | | | |  t | | |  |  S(   NiË  (   R  R   Ró  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3275}  s    c            s<     j  d  t | | | | |  t | | |  |  S(   NiÌ  (   R  R   Rò  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3276  s    c            s<     j  d  t | | | | |  t | | |  |  S(   NiÍ  (   R  R   Ró  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3277  s    c	   	         sP     j  d  t t t | | |  | | | | | | | |  |  |  S(   NiÎ  (   R  R   RÊ   Rò  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3278  s    c	   	         sP     j  d  t t t | | |  | | | | | | | |  |  |  S(   NiÏ  (   R  R   RÊ   Ró  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3279  s    c	   	         sÈ     j  d  t | | | | | |  t d  t | | | | |  t d  t | | |  |  |  t | | | | | | |  t d  t | | |  | | |  t d  |  S(   NiÐ  i   (   R  RÀ  Rà  R   Ró  R€  Rò  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3280  s    c	   	         sÇ     j  d  t | | | | | |  t d  t | | | | |  t d  t | | |  |  |  t | | | | | | |  t d  t | | |  | | |  t d  |  S(   NiÑ  i   (   R  RÀ  Rà  R   Rò  R€  Ró  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3281  s    c      	      sY    j  d  t | | | |  t d  t | | | t d  | | | | |  t d  t | | |  |  |  t | | t d  | | |  t d  t | | | | | | | |  t d  t | | |  |  |  t | | | t d  | | | | |  t d  t | | |  | | |  t d  |  S(   NiÒ  i   (   R  RÀ  Rà  R   Ró  Rò  R€  (   R  R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3282   s    c      	      sX    j  d  t | | | |  t d  t | | | t d  | | | | |  t d  t | | |  |  |  t | | t d  | | |  t d  t | | | | | | | |  t d  t | | |  |  |  t | | | t d  | | | | |  t d  t | | |  | | |  t d  |  S(   NiÓ  i   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3283¥  s    c            sL     j  d  t t t | | |  | | | | | | |  |  |  S(   NiÔ  (   R  R   RÊ   Rò  (   R  R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3284ª  s    c            sL     j  d  t t t | | |  | | | | | | |  |  |  S(   NiÕ  (   R  R   RÊ   Ró  (   R  R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3285¯  s    c            sM     j  d  t | | | |  | | | | |  t | | |  |  S(   NiÖ  (   R  R   Rò  (   R  R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3286Ž  s    c            sM     j  d  t | | | |  | | | | |  t | | |  |  S(   Ni×  (   R  R   Ró  (   R  R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3287¹  s    c	   	         sH     j  d  t | | | | | | | |  t | | |  |  S(   NiØ  (   R  R   Rò  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3288Ÿ  s    c	   	         sH     j  d  t | | | | | | | |  t | | |  |  S(   NiÙ  (   R  R   Ró  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3289Ã  s    c            s     j  d  t t t d   t t  t t t d   | t t d  t  t |  t d    t d  t |  t d   |  S(   NiÚ  i   i   (   R  R€  Rá  Rà  RË  R©  R  (   RÁ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3290È  s    c            s     j  d  t t t d   t t  t t t d   | t t d  t  t |  t d    t d  t |  t d   |  S(   NiÛ  i   i   (   R  R€  Rá  Rà  RË  Rª  R  (   RÁ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3291Í  s    c      	      ss     j  d  t t |  t t |  | t d   |  |  t t |  t t |  | t d   |  |  S(   NiÜ  i   (   R  RÀ  Rò  R   Ró  Rà  (   RÁ  RÂ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3292Ò  s    c      	      st     j  d  t t |  t t |  | t d   |  |  t t |  t t |  | t d   |  |  S(   NiÝ  i   (   R  RÀ  Rò  R   Rà  Ró  (   RÁ  RÂ  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3293×  s    c      	      s     j  d  t t t d  t t t | t |  | |  |  |  t t t d  t t t | t |  | |  |  |  S(   NiÞ  i   (   R  RÀ  Rç  Rà  R   RÝ  (   RÁ  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3294Ü  s    c      	      s     j  d  t t d  d t t t | t |  | |  |  |  t t d  d t t t | t |  | |  |  |  S(   Niß  i   i   (   R  RÀ  Rà  R   RÝ  Rç  (   RÁ  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3295á  s    c      	      sA     j  d  t t | | t | | | |  |  |  |  S(   Nià  (   R  R   Rc  Rò  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3296æ  s    c      	      sA     j  d  t t | | t | | | |  |  |  |  S(   Niá  (   R  R   Rc  Ró  (   R  R£  RÁ  R  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3297ë  s    c      	      s^     j  d  t t | | t | | | |  |  | t d  |  | t d  |  S(   Niâ  i   i   (   R  R*   R   Rò  Rà  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3298ð  s    c      	      s^     j  d  t t | | t | | | |  |  | t d  |  | t d  |  S(   Niã  i   i   (   R  R*   R   Ró  Rà  (   R  R£  RÁ  R  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3299õ  s    c            s   t  |  }   j d  t | t t | | t d  | | t | | | | |  |  |  | | t d  |  |  S(   Niä  iÿÿÿÿi   (   R3   R  RÀ  R*   R   Rà  Rò  (   R  R£  RÁ  RÂ  R  R€  R  R°  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3300ù  s    c            s   t  |  }   j d  t | t t | | t d  | | t | | | | |  |  |  | | t d  |  |  S(   Niå  iÿÿÿÿi   (   R3   R  RÀ  R*   R   Rà  Ró  (   R  R£  RÁ  R  RÂ  R€  R  R°  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3301ÿ  s    c      	      s     j  d  t t t d  t t t | t |  | |  |  |  t t t d  t t t | t |  | |  |  |  S(   Niæ  i   (   R  RÀ  Rç  Rà  R   RÝ  (   RÁ  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3302  s    c      	      s     j  d  t t d  d t t t | t |  | |  |  |  t t d  d t t t | t |  | |  |  |  S(   Niç  i   i   (   R  RÀ  Rà  R   RÝ  Rç  (   RÁ  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3303  s    c      	      sA     j  d  t t | | t | | | |  |  |  |  S(   Niè  (   R  R   Rc  Rò  (   R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3304  s    c      	      sA     j  d  t t | | t | | | |  |  |  |  S(   Nié  (   R  R   Rc  Ró  (   R  R£  RÁ  R  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3305  s    c            sl     j  d  t t d  t | | t d   t t | | t | | | |  |  |  | |  |  S(   Niê  i   (   R  RÀ  Rà  R2   R*   R   Rò  (   R  R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3306  s    c            sl     j  d  t t d  t | | t d   t t | | t | | | |  |  |  | |  |  S(   Nië  i   (   R  RÀ  Rà  R2   R*   R   Ró  (   R  R  R£  RÁ  R  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3307  s    c            s8     j  d  t | | t | | | |  |  |  S(   Niì  (   R  R   Rò  (   R  R  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3308$  s    c            s8     j  d  t | | t | | | |  |  |  S(   Nií  (   R  R   Ró  (   R  R  R£  RÁ  R  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3309)  s    c            s5     j  d  t | | t t | |   |  |  S(   Niî  (   R  R   Rò  R1  (   R  R  R£  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3310.  s    c            s5     j  d  t | | t t | |   |  |  S(   Niï  (   R  R   Ró  R1  (   R  R  R£  R  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement33113  s    c            s,     j  d  t t |  | |  | |  S(   Nið  (   R  R€  RÇ  (   RÁ  R  R€  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement33128  s    c            s,     j  d  t t |  | |  | |  S(   Niñ  (   R  R€  RÆ  (   RÁ  R  R€  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3313=  s    c            so     j  d  t t |  t t |  | |  | |  |  t t |  t t |  | |  | |  |  S(   Niò  (   R  RÀ  Rò  R   Ró  (   RÁ  R  R€  RÂ  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3314B  s    c            sp     j  d  t t |  t t |  | |  | |  |  t t |  t t |  | |  | |  |  S(   Nió  (   R  RÀ  Rò  R   Ró  (   RÁ  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3315G  s    c   	      S   sw   t  | t t t t f  r t S| t d  | } t t |  t	 t
 |  t d   t | t d     rs t St S(   Ni   i    (   t
   isinstancet   intRä  t   floatRå  t   FalseRà  Râ  R   Rã  R"   RP   t   True(	   R  R¢  R£  RÁ  RÂ  R  R€  R  R&  (    (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3316K  s    <c   	         s   | t  d  | }   j d  t t  d  | t t | | t  d  | | t | | |  |  |  | | |  |  S(   Ni   iô  iÿÿÿÿ(   Rà  R  RÀ  R*   R   Rò  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R&  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3316S  s    c   	      S   sw   t  | t t t t f  r t S| t d  | } t t |  t	 t
 |  t d   t | t d     rs t St S(   Ni   i    (   R1  R2  Rä  R3  Rå  R4  Rà  Râ  R   Rã  R"   RP   R5  (	   R  R¢  R£  RÁ  R  RÂ  R€  R  R&  (    (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3317Y  s    <c   	         s   | t  d  | }   j d  t t  d  | t t | | t  d  | | t | | |  |  |  | | |  |  S(   Ni   iõ  iÿÿÿÿ(   Rà  R  RÀ  R*   R   Ró  (	   R  R¢  R£  RÁ  R  RÂ  R€  R  R&  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3317a  s    c	   
      S   sw   t  | t t t t f  r t S| t d  | }	 t t |	  t	 t
 |  t d   t |	 t d     rs t St S(   Ni   i    (   R1  R2  Rä  R3  Rå  R4  Rà  Râ  R   Rã  R"   RP   R5  (
   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  R&  (    (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3318g  s    <c	   
         s   | t  d  | }	   j d  t | t |  | t |  | | t |  t | | | | t | | | |  |  |  |  S(   Ni   iö  (   Rà  R  RÀ  R$   R%   R   Rò  (
   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  R&  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3318o  s    c	   
      S   sw   t  | t t t t f  r t S| t d  | }	 t t |	  t	 t
 |  t d   t |	 t d     rs t St S(   Ni   i    (   R1  R2  Rä  R3  Rå  R4  Rà  Râ  R   Rã  R"   RP   R5  (
   R  R¢  R£  RÁ  R  RÂ  R€  R  R¡  R&  (    (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3319u  s    <c	   
         s   | t  d  | }	   j d  t | t |  | t |  | | t |  t | | | | t | | | |  |  |  |  S(   Ni   i÷  (   Rà  R  RÀ  R$   R%   R   Ró  (
   R  R¢  R£  RÁ  R  RÂ  R€  R  R¡  R&  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3319}  s    c      
      sb     j  d  t t d  | t t t | | | t d   |  | | | t d   |  S(   Niø  i   (   R  RÀ  Rà  R*   R   Rò  (   R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3320  s    c      
      sb     j  d  t t d  | t t t | | | t d   |  | | | t d   |  S(   Niù  i   (   R  RÀ  Rà  R*   R   Ró  (   R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3321  s    c      	      s¹     j  d  t | | |  | t d  | | t | | |  | t | | | |  |  |  t | | t d  | | |  | t d  t | | | |  | | |  S(   Niú  i   iÿÿÿÿ(   R  RÀ  Rà  R   Ró  R€  (   R¢  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3322  s    c      	      sº     j  d  t | | |  | t d  | | t | | |  | t | | | |  |  |  t | | t d  | | |  | t d  t | | | |  | | |  S(   Niû  i   iÿÿÿÿ(   R  RÀ  Rà  R   Rò  R€  (   R¢  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3323  s    c      	      s«     j  d  t | | | | |  t d  t | | |  | t | | | |  |  |  t | | |  t d  t | | | |  | |  t d  |  S(   Niü  i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3324  s    c      	      sª     j  d  t | | | | |  t d  t | | |  | t | | | |  |  |  t | | |  t d  t | | | |  | |  t d  |  S(   Niý  i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3325  s    c      
      s      j  d  t t t d  t | | |  t t | t | | |  |  |  t t t d  t | | |  t t | t | | |  |  |  S(   Niþ  i   (   R  RÀ  Rç  Rà  R   RÝ  (   R¢  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3326¢  s    c      
      s      j  d  t t d  d t | | |  t t | t | | |  |  |  t t d  d t | | |  t t | t | | |  |  |  S(   Niÿ  i   i   (   R  RÀ  Rà  R   RÝ  Rç  (   R¢  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3327§  s    c      	      s¶     j  d  t | | |  | t d  t t | | | |  |  t d  t | | | |  |  |  t | | t d  t | | | |  |  | t d  |  S(   Ni   iÿÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3328¬  s    c      	      s·     j  d  t | | |  | t d  t t | | | |  t | | | |  |  t d  |  |  t | | t d  t | | | |  |  | t d  |  S(   Ni  iÿÿÿÿi   (   R  RÀ  Rà  R   Rò  Ró  R€  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3329±  s    c      	      sö     j  d  t |  t d  |  t | | t | | | |  |  t d  |  |  t t | | | |  |  | t d  | |  t d  |  t | | t | | | |  |  t d  t | | | |  | | |  |  S(   Ni  iÿÿÿÿiþÿÿÿi   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3330¶  s    c      	      sö     j  d  t |  t d  |  t | | t | | | |  |  t d  |  |  t t | | | |  |  | t d  | |  t d  |  t | | t | | | |  t | | | |  |  t d  | | |  |  S(   Ni  iÿÿÿÿiþÿÿÿi   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3331»  s    c      
      sÙ    j  d  t |  t d  |  t | | t | | | |  |  t d  |  |  t | t d  | t d  | | t d  | t d  | t d  |  t d  t | | t d  | t | | | |  |  |  |  t | | t d  | t d  | | t d  t | | | |  |  | t d  | t d  |  t d  |  t | | | t d  t | | | |  |  t d  t | | | |  | | |  |  S(   Ni  iÿÿÿÿiþÿÿÿi   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3332À  s    c      
      sÙ    j  d  t |  t d  |  t | | t | | | |  |  t d  |  |  t | t d  | t d  | | t d  | t d  | t d  |  t d  t | | t d  | t | | | |  |  |  |  t | | t d  | t d  | | t d  t | | | |  |  | t d  | t d  |  t d  |  t | | | t d  t | | | |  t | | | |  |  t d  | | |  |  S(   Ni  iÿÿÿÿiþÿÿÿi   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3333Å  s    c      
      sú    j  d  t | t d  | t d  |  t d  | t d  | | t d  t | | t d  | t | | | |  |  |  |  t | t d  | t d  |  |  t d  | t d  | | t d  t | | t d  | t | | | |  |  t d  |  |  t | | t d  t | | | |  |  | t d  |  t | | |  | | | t d  t | | | |  |  t d  t | | | |  | t d  | | t d  |  S(   Ni  i   i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Rò  R€  Ró  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3334Ê  s    c      
      sú    j  d  t | t d  | t d  |  t d  | t d  | | t d  t | | t d  | t | | | |  |  |  |  t | t d  | t d  |  |  t d  | t d  | | t d  t | | t d  | t | | | |  |  t d  |  |  t | | t d  t | | | |  |  | t d  |  t | | |  | | | t d  t | | | |  t | | | |  |  t d  | t d  | | t d  |  S(   Ni  i   i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Ró  R€  Rò  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3335Ï  s    c	   
         s   t  |  }	   j d  t |	 | t t | |	 | t d  t d  | | t | | | | | |	 |  |  |  | | | t d  |	  |  S(   Ni  i   iÿÿÿÿ(   R3   R  RÀ  R*   R   Rà  Rò  (
   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  R°  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3336Ó  s    c	   
         s   t  |  }	   j d  t |	 | t t | |	 | t d  t d  | | t | | | | | |	 |  |  |  | | | t d  |	  |  S(   Ni	  i   iÿÿÿÿ(   R3   R  RÀ  R*   R   Rà  Ró  (
   R  R¢  R£  RÁ  R  RÂ  R€  R  R¡  R°  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3337Ù  s    c	   	   
      sL     j  d  t t | | | | | t | | | |  |  |  |  S(   Ni
  (   R  R   Rc  Rò  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3338à  s    c	   	   
      sL     j  d  t t | | | | | t | | | |  |  |  |  S(   Ni  (   R  R   Rc  Ró  (	   R  R¢  R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3339å  s    c      	      s"    j  d  t |  t d  |  t d  t | | t | | | |  |  t d  |  |  t t | | | |  |  t d  | t d  | |  t d  |  t d  |  t | | t | | | |  |  t d  t | | | |  | | |  t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3340ê  s    c      	      s"    j  d  t |  t d  |  t d  t | | t | | | |  |  t d  |  |  t t | | | |  |  t d  | t d  | |  t d  |  t d  |  t | | t | | | |  t | | | |  |  t d  | | |  t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3341ï  s    c      
      s    j  d  t |  t d  |  t d  t | | t | | | |  |  t d  |  |  t | t d  | t d  | | t d  | t d  | t d  |  t d  |  t d  t | | t d  | t | | | |  |  t d  |  |  t | | | t d  t | | | |  |  t d  t | | | |  | | |  t d  |  t | | t d  | t d  | | t d  t | | | |  |  t d  | t d  | t d  |  t d  |  t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3342ô  s    c      
      s    j  d  t |  t d  |  t d  t | | t | | | |  |  t d  |  |  t | t d  | t d  | | t d  | t d  | t d  |  t d  |  t d  t | | t d  | t | | | |  |  t d  |  |  t | | | t d  t | | | |  t | | | |  |  t d  | | |  t d  |  t | | t d  | t d  | | t d  t | | | |  |  t d  | t d  | t d  |  t d  |  t d  |  S(   Ni  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3343ù  s    c      
      sc     j  d  t t | | t d  | | t | | | |  |  |  | t d  |  S(   Ni  iþÿÿÿi   (   R  R*   R   Rà  Rò  (   R  R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3344þ  s    c      
      sc     j  d  t t | | t d  | | t | | | |  |  |  | t d  |  S(   Ni  iþÿÿÿi   (   R  R*   R   Rà  Ró  (   R  R¢  R£  RÁ  R  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3345  s    c	   
         s£   t  |  }	   j d  t |	 | t t | |	 | t d  t d  | | t | | | | | |	 |  |  |  | | | t d  |	  |  S(   Ni  i   iÿÿÿÿ(   R3   R  RÀ  R*   R   Rà  Rò  (
   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  R°  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3346  s    c	   
         s£   t  |  }	   j d  t |	 | t t | |	 | t d  t d  | | t | | | | | |	 |  |  |  | | | t d  |	  |  S(   Ni  i   iÿÿÿÿ(   R3   R  RÀ  R*   R   Rà  Ró  (
   R  R¢  R£  RÁ  R  RÂ  R€  R  R¡  R°  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3347  s    c	   	         s     j  d  t | | | t d  | | t t | | t d  | | t | | | |  |  |  | t d  |  |  S(   Ni  i   iþÿÿÿ(   R  RÀ  Rà  R*   R   Rò  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3348  s    c	   	         s     j  d  t | | | t d  | | t t | | t d  | | t | | | |  |  |  | t d  |  |  S(   Ni  i   iþÿÿÿ(   R  RÀ  Rà  R*   R   Ró  (	   R  R¢  R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3349  s    c   	         s   t  |  }   j d  t | t t | | | t d  t d  | | t | | | | |  |  |  | | t d  |  |  S(   Ni  i   iÿÿÿÿ(   R3   R  RÀ  R*   R   Rà  Rò  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R°  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3350  s    c   	         s   t  |  }   j d  t | t t | | | t d  t d  | | t | | | | |  |  |  | | t d  |  |  S(   Ni  i   iÿÿÿÿ(   R3   R  RÀ  R*   R   Rà  Ró  (	   R  R¢  R£  RÁ  R  RÂ  R€  R  R°  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   With3351#  s    c	   	         sw     j  d  t | t |  | t |  | | t |  t | | | | t | | | |  |  |  |  S(   Ni  (   R  RÀ  R$   R%   R   Rò  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3352*  s    c	   	         sw     j  d  t | t |  | t |  | | t |  t | | | | t | | | |  |  |  |  S(   Ni  (   R  RÀ  R$   R%   R   Ró  (	   R  R¢  R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3353/  s    c            s     j  d  t t d  | t d  t t | | t | | | | | t d   |  |  | | | t d   |  S(   Ni  i   (   R  RÀ  Rà  R*   R   Rò  (   R  R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement33544  s    c            s     j  d  t t d  | t d  t t | | t | | | | | t d   |  |  | | | t d   |  S(   Ni  i   (   R  RÀ  Rà  R*   R   Ró  (   R  R¢  R£  RÁ  R  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement33559  s    c	   	         sw     j  d  t | t |  | t |  | | t |  t | | | | t | | | |  |  |  |  S(   Ni  (   R  RÀ  R$   R%   R   Rò  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3356>  s    c	   	         sw     j  d  t | t |  | t |  | | t |  t | | | | t | | | |  |  |  |  S(   Ni  (   R  RÀ  R$   R%   R   Ró  (	   R  R¢  R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3357C  s    c      
      s      j  d  t t t d  t | | |  t t | t | | |  |  |  t t t d  t | | |  t t | t | | |  |  |  S(   Ni  i   (   R  RÀ  Rç  Rà  R   RÝ  (   R¢  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3358H  s    c      
      s      j  d  t t d  d t | | |  t t | t | | |  |  |  t t d  d t | | |  t t | t | | |  |  |  S(   Ni  i   i   (   R  RÀ  Rà  R   RÝ  Rç  (   R¢  RÁ  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3359M  s    c	   	   
      sL     j  d  t t | | | | | t | | | |  |  |  |  S(   Ni   (   R  R   Rc  Rò  (	   R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3360R  s    c	   	   
      sL     j  d  t t | | | | | t | | | |  |  |  |  S(   Ni!  (   R  R   Rc  Ró  (	   R  R¢  R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3361W  s    c	   	         s     j  d  t t | | t d   | t d  t t | | t | | | |  |  | t | | t d   | |  | |  |  S(   Ni"  i   iÿÿÿÿi    (   R  RÀ  R2   Rà  R*   R   Rò  (	   R  R  R¢  R£  RÁ  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3362\  s    c	   	         s     j  d  t t | | t d   | t d  t t | | t | | | |  |  | t | | t d   | |  | |  |  S(   Ni#  i   iÿÿÿÿi    (   R  RÀ  R2   Rà  R*   R   Ró  (	   R  R  R¢  R£  RÁ  R  RÂ  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3363a  s    c
   
   	      sD     j  d  t |	 | | | | t | | | |  |  |  S(   Ni$  (   R  R   Rò  (
   R  R  R¢  R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3364f  s    c
   
   	      sD     j  d  t |	 | | | | t | | | |  |  |  S(   Ni%  (   R  R   Ró  (
   R  R  R¢  R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3365k  s    c            sA     j  d  t | | | | | t t | |   |  |  S(   Ni&  (   R  R   Rò  R1  (   R  R  R¢  R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3366p  s    c            sA     j  d  t | | | | | t t | |   |  |  S(   Ni'  (   R  R   Ró  R1  (   R  R  R¢  R£  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3367u  s    c            sP     j  d  t t | | | |  |  t d  | | |  t d  |  S(   Ni(  i   (   R  R€  Rò  Rà  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3368z  s    c            sQ     j  d  t t | | | |  |  t d  | | |  t d  |  S(   Ni)  i   (   R  R€  Ró  Rà  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3369  s    c      	      sÐ     j  d  t | | t d  | | |  t d  t | | | t | | | |  |  t d  |  |  t | | | t d  t | | | |  |  t d  | | |  t d  |  S(   Ni*  i   (   R  RÀ  Rà  R   Rò  R€  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3370  s    c      	      sÏ     j  d  t | | t d  | | |  t d  t | | | t | | | |  |  t d  |  |  t | | | t d  t | | | |  |  t d  | | |  t d  |  S(   Ni+  i   (   R  RÀ  Rà  R   Ró  R€  (   R  R¢  R£  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3371  s    c            sJ     j  d  t t | t d  | |  t d  t d  |  |   S(   Ni,  i   i   (   R  R   Rò  Rà  (   R  RÂ  R  R£  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3372  s    c            sJ     j  d  t t | t d  | |  t d  t d  |  |   S(   Ni-  i   i   (   R  R   Ró  Rà  (   R  RÂ  R  R£  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3373  s    c            s    j  d  t t t d  | | | t d  t d  |  t t | t d  | |  t d  t d  |  |   |   t t t d  | | | t d  t d  |  t t | t d  | |  t d  t d  |  |   |   S(   Ni.  i   i   (   R  RÀ  Rò  Rà  R   Ró  (   R  RÂ  R  R£  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3374  s    c            s    j  d  t t t d  | | | t d  t d  |  t t | t d  | |  t d  t d  |  |   |   t t t d  | | | t d  t d  |  t t | t d  | |  t d  t d  |  |   |   S(   Ni/  i   i   (   R  RÀ  Rò  Rà  R   Ró  (   R  RÂ  R  R£  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3375  s    c            sG     j  d  t t t | |  | | | t d   | |  |  S(   Ni0  i   (   R  R   Rc  Rò  Rà  (   R£  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3376¢  s    c            sG     j  d  t t t | |  | | | t d   | |  |  S(   Ni1  i   (   R  R   Rc  Ró  Rà  (   R£  RÂ  R  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3377§  s    c            s-     j  d  t t t |  |   | |  S(   Ni2  (   R  R   Rò  R1  (   Rü  R  R€  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3378¬  s    c            s-     j  d  t t t |  |   | |  S(   Ni3  (   R  R   Ró  R1  (   Rü  R  R€  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3379±  s    c            sM     j  d  t | t | |  | | | t d   t d  | |  S(   Ni4  i   (   R  R€  Ró  Rà  (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3380¶  s    c            sL     j  d  t | t | |  | | | t d   t d  | |  S(   Ni5  i   (   R  R€  Rò  Rà  (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3381»  s    c      	      sª     j  d  t |  | t d  | | t d  | t t | |  | | | t d   |  |  t | t | |  | | | t d   t d  | |  S(   Ni6  i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3382À  s    c      	      sª     j  d  t |  | t d  | | t d  | t t | |  | | | t d   |  |  t | t | |  | | | t d   t d  | |  S(   Ni7  i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3383Å  s    c      
      sß     j  d  t | t d  |  t d  t d  | t | | | |  t d  t | | | | | t d   |  |  t | | | | |  t d  t | | | | | t d   t d  | |  S(   Ni8  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Ró  R€  (   R¢  R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3384Ê  s    c      
      sà     j  d  t | t d  |  t d  t d  | t | | | |  t d  t | | | | | t d   |  |  t | | | | |  t d  t | | | | | t d   t d  | |  S(   Ni9  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Rò  R€  (   R¢  R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3385Ï  s    c            sW    j  d  t | | t d  | | t d  | t | | | |  t d  t | | | | | t d   |  |  t | t d  |  t d  t d  | t | | | |  t d  t | | | | | t d   |  |  t | | | | |  t d  t | | | | | t d   t d  | |  S(   Ni:  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Rò  Ró  R€  (   R¢  R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3386Ô  s    c            sW    j  d  t | | t d  | | t d  | t | | | |  t d  t | | | | | t d   |  |  t | t d  |  t d  t d  | t | | | |  t d  t | | | | | t d   |  |  t | | | | |  t d  t | | | | | t d   t d  | |  S(   Ni;  i   iÿÿÿÿiþÿÿÿ(   R  RÀ  Rà  R   Ró  Rò  R€  (   R¢  R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3387Ù  s    c      
      sà     j  d  t t d  | | t d  |  t d  t | | | |  t d  t | | | | | t d   |  |  t | | | |  t d  t | | | | | t d   | |  t d  |  S(   Ni<  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3388Þ  s    c      
      sß     j  d  t t d  | | t d  |  t d  t | | | |  t d  t | | | | | t d   |  |  t | | | |  t d  t | | | | | t d   | |  t d  |  S(   Ni=  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3389ã  s    c            se    j  d  t t d  | | t d  |  t d  t | | | |  t d  t | | | | | t d   |  |  t | | t d  | | | t d  |  t d  t | | | |  t d  t | | | | | t d   |  |  t | | | |  t d  t | | | | | t d   | |  t d  |  S(   Ni>  i   i   (   R  RÀ  Rà  R   Ró  R€  Rò  (   R¢  R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3390è  s    c            sd    j  d  t t d  | | t d  |  t d  t | | | |  t d  t | | | | | t d   |  |  t | | t d  | | | t d  |  t d  t | | | |  t d  t | | | | | t d   |  |  t | | | |  t d  t | | | | | t d   | |  t d  |  S(   Ni?  i   i   (   R  RÀ  Rà  R   Rò  R€  Ró  (   R¢  R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3391í  s    c            sJ     j  d  t | | | |  t | | | | | t d   |  S(   Ni@  i   (   R  R   Rò  Rà  (   R¢  R£  RÁ  R  RÂ  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3392ò  s    c            sJ     j  d  t | | | |  t | | | | | t d   |  S(   NiA  i   (   R  R   Ró  Rà  (   R¢  R£  RÁ  RÂ  R  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3393÷  s    c      	      sV     j  d  t t | | | |  t | | | | | t d   | |  |  S(   NiB  i   (   R  R   Rc  Rò  Rà  (   R¢  R£  RÁ  R  RÂ  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3394ü  s    c      	      sV     j  d  t t | | | |  t | | | | | t d   | |  |  S(   NiC  i   (   R  R   Rc  Ró  Rà  (   R¢  R£  RÁ  RÂ  R  R€  R  R¡  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3395  s    c            s>     j  d  t t | |  | t t |  |   | |  S(   NiD  (   R  R   R1  Rò  (   Rü  R  R¢  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3396  s    c            s>     j  d  t t | |  | t t |  |   | |  S(   NiE  (   R  R   R1  Ró  (   Rü  R  R¢  R€  R  (   R  (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   replacement3397  s    (  t    sympy.integrals.rubi.constraintsR*  R+  R,  R-  R.  R/  R0  R1  R2  R3  R4  R5  R6  R7  R8  R9  R:  R;  R<  R=  R>  R?  R@  RA  RB  RC  RD  RE  RF  RG  RH  RI  RJ  RK  RL  RM  RN  RO  RP  RQ  RR  RS  RT  RU  RV  RW  RX  RY  RZ  R[  R\  R]  R^  R_  R`  Ra  Rb  Rc  Rd  Re  Rf  Rg  Rh  Ri  Rj  Rk  Rl  Rm  Rn  Ro  Rp  Rq  Rr  Rs  Rt  Ru  Rv  Rw  Rx  Ry  Rz  R{  R|  R}  R~  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R   R¡  R¢  R£  R€  R¥  RŠ  R§  Rš  R©  Rª  R«  R¬  R­  R®  R¯  R°  R±  R²  R³  RŽ  Rµ  R¶  R·  Rž  R¹  Rº  R»  RŒ  Rœ  RŸ  R¿  RÀ  RÁ  RÂ  RÃ  RÄ  RÅ  RÆ  RÇ  RÈ  RÉ  RÊ  RË  RÌ  RÍ  RÎ  RÏ  RÐ  RÑ  RÒ  RÓ  RÔ  RÕ  RÖ  R×  RØ  RÙ  RÚ  RÛ  RÜ  RÝ  RÞ  Rß  Rà  Rá  Râ  Rã  Rä  Rå  Ræ  Rç  Rè  Ré  Rê  Rë  Rì  Rí  Rî  Rï  Rð  Rñ  Rò  Ró  Rô  Rõ  Rö  R÷  Rø  Rù  Rú  Rû  Rü  Rý  Rþ  Rÿ  R   R  R  R  R  R  R  R  R  R	  R
  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R   R!  R"  R#  R$  R%  R&  R'  R(  R)  R*  R+  R,  R-  R.  R/  R0  R1  R2  R3  R4  R5  R6  R7  R8  R9  R:  R;  R<  R=  R>  R?  R@  RA  RB  RC  RD  RE  RF  RG  RH  RI  RJ  RK  RL  RM  RN  RO  RP  RQ  RR  RS  RT  RU  RV  RW  RX  RY  RZ  R[  R\  R]  R^  R_  R`  Ra  Rb  Rc  Rd  Re  Rf  Rg  Rh  Ri  Rj  Rk  Rl  Rm  Rn  Ro  Rp  Rq  Rr  Rs  Rt  Ru  Rv  Rw  Rx  Ry  Rz  R{  R|  R}  R~  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R   Rß  t   u_t   x_R   Rï  Rà  Rò  Ró  t   m_t   n_Rá  t   b_t   a_t   p_Rô  t   g_t   c_t   d_t   A_t   q_t   n2_t   v_R   t   e_(ë  R  R*  R+  R,  R-  R.  R/  R0  R1  R2  R3  R4  R5  R6  R7  R8  R9  R:  R;  R<  R=  R>  R?  R@  RA  RB  RC  RD  RE  RF  RG  RH  RI  RJ  RK  RL  RM  RN  RO  RP  RQ  RR  RS  RT  RU  RV  RW  RX  RY  RZ  R[  R\  R]  R^  R_  R`  Ra  Rb  Rc  Rd  Re  Rf  Rg  Rh  Ri  Rj  Rk  Rl  Rm  Rn  Ro  Rp  Rq  Rr  Rs  Rt  Ru  Rv  Rw  Rx  Ry  Rz  R{  R|  R}  R~  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R   R¡  R¢  R£  R€  R¥  RŠ  R§  Rš  R©  Rª  R«  R¬  R­  R®  R¯  R°  R±  R²  R³  RŽ  Rµ  R¶  R·  Rž  R¹  Rº  R»  RŒ  Rœ  RŸ  R¿  RÀ  RÁ  RÂ  RÃ  RÄ  RÅ  RÆ  RÇ  RÈ  RÉ  RÊ  RË  RÌ  RÍ  RÎ  RÏ  RÐ  RÑ  RÒ  RÓ  RÔ  RÕ  RÖ  R×  RØ  RÙ  RÚ  RÛ  RÜ  RÝ  RÞ  Rß  Rà  Rá  Râ  Rã  Rä  Rå  Ræ  Rç  Rè  Ré  Rê  Rë  Rì  Rí  Rî  Rï  Rð  Rñ  Rò  Ró  Rô  Rõ  Rö  R÷  Rø  Rù  Rú  Rû  Rü  Rý  Rþ  Rÿ  R   R  R  R  R  R  R  R  R  R	  R
  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R   R!  R"  R#  R$  R%  R&  R'  R(  R)  R*  R+  R,  R-  R.  R/  R0  R1  R2  R3  R4  R5  R6  R7  R8  R9  R:  R;  R<  R=  R>  R?  R@  RA  RB  RC  RD  RE  RF  RG  RH  RI  RJ  RK  RL  RM  RN  RO  RP  RQ  RR  RS  RT  RU  RV  RW  RX  RY  RZ  R[  R\  R]  R^  R_  R`  Ra  Rb  Rc  Rd  Re  Rf  Rg  Rh  Ri  Rj  Rk  Rl  Rm  Rn  Ro  Rp  Rq  Rr  Rs  Rt  Ru  Rv  Rw  Rx  Ry  Rz  R{  R|  R}  R~  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  t   pattern2164R  t   rule2164t   pattern2165R¥  t   rule2165t   pattern2166RŠ  t   rule2166t   pattern2167R§  t   rule2167t   pattern2168Rš  t   rule2168t   pattern2169R©  t   rule2169t   pattern2170Rª  t   rule2170t   pattern2171R«  t   rule2171t   pattern2172R¬  t   rule2172t   pattern2173R­  t   rule2173t   pattern2174R®  t   rule2174t   pattern2175R¯  t   rule2175R±  t   pattern2176t   rule2176R²  t   pattern2177t   rule2177t   pattern2178R³  t   rule2178t   pattern2179RŽ  t   rule2179t   pattern2180Rµ  t   rule2180t   pattern2181R¶  t   rule2181t   pattern2182R·  t   rule2182t   pattern2183Rž  t   rule2183t   pattern2184R¹  t   rule2184t   pattern2185Rº  t   rule2185t   pattern2186R»  t   rule2186t   pattern2187RŒ  t   rule2187t   pattern2188Rœ  t   rule2188t   pattern2189RŸ  t   rule2189t   pattern2190R¿  t   rule2190t   pattern2191RÀ  t   rule2191t   pattern2192RÃ  t   rule2192t   pattern2193RÄ  t   rule2193t   pattern2194RÅ  t   rule2194t   pattern2195RÆ  t   rule2195t   pattern2196RÇ  t   rule2196t   pattern2197RÈ  t   rule2197t   pattern2198RÉ  t   rule2198t   pattern2199RÊ  t   rule2199t   pattern2200RÌ  t   rule2200t   pattern2201RÍ  t   rule2201t   pattern2202RÎ  t   rule2202t   pattern2203RÏ  t   rule2203t   pattern2204RÐ  t   rule2204t   pattern2205RÑ  t   rule2205t   pattern2206RÒ  t   rule2206t   pattern2207RÓ  t   rule2207t   pattern2208RÔ  t   rule2208t   pattern2209RÕ  t   rule2209t   pattern2210RÖ  t   rule2210t   pattern2211R×  t   rule2211t   pattern2212RØ  t   rule2212t   pattern2213RÙ  t   rule2213t   pattern2214RÚ  t   rule2214t   pattern2215RÛ  t   rule2215t   pattern2216RÜ  t   rule2216t   pattern2217RÝ  t   rule2217t   pattern2218RÞ  t   rule2218t   pattern2219Rß  t   rule2219t   pattern2220Rà  t   rule2220t   pattern2221Rá  t   rule2221t   pattern2222Râ  t   rule2222t   pattern2223Rã  t   rule2223t   pattern2224Rä  t   rule2224t   pattern2225Rå  t   rule2225t   pattern2226Ræ  t   rule2226t   pattern2227Rç  t   rule2227t   pattern2228Rè  t   rule2228t   pattern2229Ré  t   rule2229t   pattern2230Rê  t   rule2230t   pattern2231Rë  t   rule2231t   pattern2232Rì  t   rule2232t   pattern2233Rí  t   rule2233t   pattern2234Rî  t   rule2234t   pattern2235Rï  t   rule2235Rñ  t   pattern2236t   rule2236Rò  t   pattern2237t   rule2237Ró  t   pattern2238t   rule2238Rô  t   pattern2239t   rule2239Rõ  t   pattern2240t   rule2240Rö  t   pattern2241t   rule2241R÷  t   pattern2242t   rule2242t   pattern2243Rø  t   rule2243t   pattern2244Rù  t   rule2244t   pattern2245Rú  t   rule2245t   pattern2246Rû  t   rule2246t   pattern2247Rü  t   rule2247t   pattern2248Rý  t   rule2248t   pattern2249Rþ  t   rule2249t   pattern2250Rÿ  t   rule2250t   pattern2251R   t   rule2251t   pattern2252R  t   rule2252t   pattern2253R  t   rule2253t   pattern2254R  t   rule2254t   pattern2255R  t   rule2255t   pattern2256R  t   rule2256t   pattern2257R  t   rule2257t   pattern2258R	  t   rule2258t   pattern2259R
  t   rule2259t   pattern2260R  t   rule2260t   pattern2261R  t   rule2261t   pattern2262R  t   rule2262t   pattern2263R  t   rule2263t   pattern2264R  t   rule2264t   pattern2265R  t   rule2265t   pattern2266R  t   rule2266t   pattern2267R  t   rule2267t   pattern2268R  t   rule2268t   pattern2269R  t   rule2269t   pattern2270R  t   rule2270t   pattern2271R  t   rule2271t   pattern2272R  t   rule2272t   pattern2273R  t   rule2273t   pattern2274R  t   rule2274t   pattern2275R  t   rule2275t   pattern2276R  t   rule2276t   pattern2277R  t   rule2277t   pattern2278R  t   rule2278t   pattern2279R  t   rule2279t   pattern2280R  t   rule2280t   pattern2281R   t   rule2281t   pattern2282R!  t   rule2282t   pattern2283R"  t   rule2283t   pattern2284R#  t   rule2284t   pattern2285R$  t   rule2285t   pattern2286R%  t   rule2286t   pattern2287R&  t   rule2287t   pattern2288R'  t   rule2288t   pattern2289R(  t   rule2289t   pattern2290R)  t   rule2290t   pattern2291R*  t   rule2291t   pattern2292R+  t   rule2292t   pattern2293R,  t   rule2293t   pattern2294R-  t   rule2294t   pattern2295R.  t   rule2295t   pattern2296R/  t   rule2296t   pattern2297R0  t   rule2297t   pattern2298R1  t   rule2298t   pattern2299R2  t   rule2299t   pattern2300R3  t   rule2300t   pattern2301R4  t   rule2301t   pattern2302R5  t   rule2302t   pattern2303R6  t   rule2303t   pattern2304R7  t   rule2304t   pattern2305R8  t   rule2305t   pattern2306R9  t   rule2306t   pattern2307R:  t   rule2307t   pattern2308R;  t   rule2308t   pattern2309R<  t   rule2309t   pattern2310R=  t   rule2310t   pattern2311R>  t   rule2311t   pattern2312R?  t   rule2312t   pattern2313R@  t   rule2313t   pattern2314RA  t   rule2314t   pattern2315RB  t   rule2315t   pattern2316RC  t   rule2316t   pattern2317RD  t   rule2317t   pattern2318RE  t   rule2318t   pattern2319RF  t   rule2319t   pattern2320RG  t   rule2320t   pattern2321RH  t   rule2321RI  t   pattern2322t   rule2322RJ  t   pattern2323t   rule2323RK  t   pattern2324t   rule2324RL  t   pattern2325t   rule2325t   pattern2326RM  t   rule2326t   pattern2327RN  t   rule2327t   pattern2328RO  t   rule2328t   pattern2329RP  t   rule2329t   pattern2330RQ  t   rule2330t   pattern2331RR  t   rule2331t   pattern2332RS  t   rule2332t   pattern2333RT  t   rule2333t   pattern2334RU  t   rule2334t   pattern2335RV  t   rule2335t   pattern2336RW  t   rule2336t   pattern2337RX  t   rule2337t   pattern2338RY  t   rule2338t   pattern2339RZ  t   rule2339t   pattern2340R[  t   rule2340t   pattern2341R\  t   rule2341t   pattern2342R]  t   rule2342t   pattern2343R^  t   rule2343t   pattern2344R_  t   rule2344t   pattern2345R`  t   rule2345t   pattern2346Ra  t   rule2346t   pattern2347Rb  t   rule2347t   pattern2348Rc  t   rule2348t   pattern2349Rd  t   rule2349t   pattern2350Re  t   rule2350t   pattern2351Rf  t   rule2351t   pattern2352Rg  t   rule2352t   pattern2353Rh  t   rule2353t   pattern2354Ri  t   rule2354t   pattern2355Rj  t   rule2355t   pattern2356Rk  t   rule2356t   pattern2357Rl  t   rule2357t   pattern2358Rm  t   rule2358t   pattern2359Rn  t   rule2359t   pattern2360Ro  t   rule2360t   pattern2361Rp  t   rule2361t   pattern2362Rq  t   rule2362t   pattern2363Rr  t   rule2363t   pattern2364Rs  t   rule2364t   pattern2365Rt  t   rule2365t   pattern2366Ru  t   rule2366t   pattern2367Rv  t   rule2367t   pattern2368Rw  t   rule2368t   pattern2369Rx  t   rule2369t   pattern2370Ry  t   rule2370t   pattern2371Rz  t   rule2371t   pattern2372R{  t   rule2372t   pattern2373R|  t   rule2373t   pattern2374R}  t   rule2374t   pattern2375R~  t   rule2375t   pattern2376R  t   rule2376t   pattern2377R  t   rule2377t   pattern2378R  t   rule2378t   pattern2379R  t   rule2379t   pattern2380R  t   rule2380t   pattern2381R  t   rule2381t   pattern2382R  t   rule2382t   pattern2383R  t   rule2383t   pattern2384R  t   rule2384t   pattern2385R  t   rule2385t   pattern2386R  t   rule2386t   pattern2387R  t   rule2387t   pattern2388R  t   rule2388t   pattern2389R  t   rule2389t   pattern2390R  t   rule2390t   pattern2391R  t   rule2391t   pattern2392R  t   rule2392t   pattern2393R  t   rule2393t   pattern2394R  t   rule2394t   pattern2395R  t   rule2395t   pattern2396R  t   rule2396t   pattern2397R  t   rule2397t   pattern2398R  t   rule2398t   pattern2399R  t   rule2399t   pattern2400R  t   rule2400t   pattern2401R  t   rule2401t   pattern2402R  t   rule2402t   pattern2403R  t   rule2403t   pattern2404R  t   rule2404t   pattern2405R  t   rule2405t   pattern2406R  t   rule2406t   pattern2407R  t   rule2407t   pattern2408R  t   rule2408t   pattern2409R   t   rule2409t   pattern2410R¡  t   rule2410t   pattern2411R¢  t   rule2411t   pattern2412R£  t   rule2412t   pattern2413R€  t   rule2413t   pattern2414R¥  t   rule2414t   pattern2415RŠ  t   rule2415t   pattern2416R§  t   rule2416t   pattern2417Rš  t   rule2417t   pattern2418R©  t   rule2418t   pattern2419Rª  t   rule2419t   pattern2420R«  t   rule2420t   pattern2421R¬  t   rule2421t   pattern2422R­  t   rule2422t   pattern2423R®  t   rule2423t   pattern2424R¯  t   rule2424t   pattern2425R°  t   rule2425t   pattern2426R±  t   rule2426t   pattern2427R²  t   rule2427t   pattern2428R³  t   rule2428t   pattern2429RŽ  t   rule2429t   pattern2430Rµ  t   rule2430t   pattern2431R¶  t   rule2431t   pattern2432R·  t   rule2432t   pattern2433Rž  t   rule2433t   pattern2434R¹  t   rule2434t   pattern2435Rº  t   rule2435t   pattern2436R»  t   rule2436t   pattern2437RŒ  t   rule2437t   pattern2438Rœ  t   rule2438t   pattern2439RŸ  t   rule2439t   pattern2440R¿  t   rule2440t   pattern2441RÀ  t   rule2441t   pattern2442RÁ  t   rule2442t   pattern2443RÂ  t   rule2443t   pattern2444RÃ  t   rule2444t   pattern2445RÄ  t   rule2445t   pattern2446RÅ  t   rule2446t   pattern2447RÆ  t   rule2447t   pattern2448RÇ  t   rule2448t   pattern2449RÈ  t   rule2449t   pattern2450RÉ  t   rule2450t   pattern2451RÊ  t   rule2451t   pattern2452RË  t   rule2452t   pattern2453RÌ  t   rule2453t   pattern2454RÍ  t   rule2454t   pattern2455RÎ  t   rule2455t   pattern2456RÏ  t   rule2456t   pattern2457RÐ  t   rule2457t   pattern2458RÑ  t   rule2458t   pattern2459RÒ  t   rule2459t   pattern2460RÓ  t   rule2460t   pattern2461RÔ  t   rule2461t   pattern2462RÕ  t   rule2462t   pattern2463RÖ  t   rule2463t   pattern2464R×  t   rule2464t   pattern2465RØ  t   rule2465t   pattern2466RÙ  t   rule2466t   pattern2467RÚ  t   rule2467t   pattern2468RÛ  t   rule2468t   pattern2469RÜ  t   rule2469t   pattern2470RÝ  t   rule2470t   pattern2471RÞ  t   rule2471t   pattern2472Rß  t   rule2472t   pattern2473Rà  t   rule2473t   pattern2474Rá  t   rule2474t   pattern2475Râ  t   rule2475t   pattern2476Rã  t   rule2476t   pattern2477Rä  t   rule2477t   pattern2478Rå  t   rule2478t   pattern2479Ræ  t   rule2479t   pattern2480Rç  t   rule2480t   pattern2481Rè  t   rule2481t   pattern2482Ré  t   rule2482t   pattern2483Rê  t   rule2483t   pattern2484Rë  t   rule2484t   pattern2485Rì  t   rule2485t   pattern2486Rí  t   rule2486t   pattern2487Rî  t   rule2487t   pattern2488Rï  t   rule2488t   pattern2489Rð  t   rule2489t   pattern2490Rñ  t   rule2490t   pattern2491Rò  t   rule2491t   pattern2492Ró  t   rule2492t   pattern2493Rô  t   rule2493t   pattern2494Rõ  t   rule2494t   pattern2495Rö  t   rule2495t   pattern2496R÷  t   rule2496t   pattern2497Rø  t   rule2497t   pattern2498Rù  t   rule2498t   pattern2499Rú  t   rule2499t   pattern2500Rû  t   rule2500t   pattern2501Rü  t   rule2501t   pattern2502Rý  t   rule2502t   pattern2503Rþ  t   rule2503t   pattern2504Rÿ  t   rule2504t   pattern2505R   t   rule2505t   pattern2506R  t   rule2506t   pattern2507R  t   rule2507t   pattern2508R  t   rule2508t   pattern2509R  t   rule2509t   pattern2510R  t   rule2510t   pattern2511R  t   rule2511t   pattern2512R  t   rule2512t   pattern2513R  t   rule2513t   pattern2514R	  t   rule2514t   pattern2515R
  t   rule2515t   pattern2516R  t   rule2516t   pattern2517R  t   rule2517t   pattern2518R  t   rule2518t   pattern2519R  t   rule2519t   pattern2520R  t   rule2520t   pattern2521R  t   rule2521t   pattern2522R  t   rule2522t   pattern2523R  t   rule2523t   pattern2524R  t   rule2524t   pattern2525R  t   rule2525t   pattern2526R  t   rule2526t   pattern2527R  t   rule2527t   pattern2528R  t   rule2528t   pattern2529R  t   rule2529t   pattern2530R  t   rule2530t   pattern2531R  t   rule2531t   pattern2532R  t   rule2532t   pattern2533R  t   rule2533t   pattern2534R  t   rule2534t   pattern2535R  t   rule2535t   pattern2536R  t   rule2536t   pattern2537R   t   rule2537t   pattern2538R!  t   rule2538t   pattern2539R"  t   rule2539t   pattern2540R#  t   rule2540t   pattern2541R$  t   rule2541t   pattern2542R%  t   rule2542t   pattern2543R&  t   rule2543t   pattern2544R'  t   rule2544t   pattern2545R(  t   rule2545t   pattern2546R)  t   rule2546t   pattern2547R*  t   rule2547t   pattern2548R+  t   rule2548t   pattern2549R,  t   rule2549t   pattern2550R-  t   rule2550t   pattern2551R.  t   rule2551t   pattern2552R/  t   rule2552t   pattern2553R0  t   rule2553t   pattern2554R1  t   rule2554t   pattern2555R2  t   rule2555t   pattern2556R3  t   rule2556t   pattern2557R4  t   rule2557t   pattern2558R5  t   rule2558t   pattern2559R6  t   rule2559t   pattern2560R7  t   rule2560t   pattern2561R8  t   rule2561t   pattern2562R9  t   rule2562t   pattern2563R:  t   rule2563t   pattern2564R;  t   rule2564t   pattern2565R<  t   rule2565t   pattern2566R=  t   rule2566t   pattern2567R>  t   rule2567t   pattern2568R?  t   rule2568t   pattern2569R@  t   rule2569t   pattern2570RA  t   rule2570t   pattern2571RB  t   rule2571t   pattern2572RC  t   rule2572t   pattern2573RD  t   rule2573t   pattern2574RE  t   rule2574t   pattern2575RF  t   rule2575t   pattern2576RG  t   rule2576t   pattern2577RH  t   rule2577t   pattern2578RI  t   rule2578t   pattern2579RJ  t   rule2579t   pattern2580RK  t   rule2580t   pattern2581RL  t   rule2581t   pattern2582RM  t   rule2582t   pattern2583RN  t   rule2583t   pattern2584RO  t   rule2584t   pattern2585RP  t   rule2585t   pattern2586RQ  t   rule2586t   pattern2587RR  t   rule2587t   pattern2588RS  t   rule2588t   pattern2589RT  t   rule2589t   pattern2590RU  t   rule2590t   pattern2591RV  t   rule2591t   pattern2592RW  t   rule2592t   pattern2593RX  t   rule2593t   pattern2594RY  t   rule2594t   pattern2595RZ  t   rule2595t   pattern2596R[  t   rule2596t   pattern2597R\  t   rule2597t   pattern2598R]  t   rule2598t   pattern2599R^  t   rule2599t   pattern2600R_  t   rule2600t   pattern2601R`  t   rule2601t   pattern2602Ra  t   rule2602t   pattern2603Rb  t   rule2603t   pattern2604Rc  t   rule2604t   pattern2605Rd  t   rule2605t   pattern2606Re  t   rule2606t   pattern2607Rf  t   rule2607t   pattern2608Rg  t   rule2608t   pattern2609Rh  t   rule2609t   pattern2610Ri  t   rule2610t   pattern2611Rj  t   rule2611t   pattern2612Rk  t   rule2612t   pattern2613Rl  t   rule2613t   pattern2614Rm  t   rule2614t   pattern2615Rn  t   rule2615t   pattern2616Ro  t   rule2616t   pattern2617Rp  t   rule2617t   pattern2618Rq  t   rule2618t   pattern2619Rr  t   rule2619t   pattern2620Rs  t   rule2620t   pattern2621Rt  t   rule2621t   pattern2622Ru  t   rule2622t   pattern2623Rv  t   rule2623t   pattern2624Rw  t   rule2624t   pattern2625Rx  t   rule2625t   pattern2626Ry  t   rule2626t   pattern2627Rz  t   rule2627t   pattern2628R{  t   rule2628t   pattern2629R|  t   rule2629t   pattern2630R}  t   rule2630t   pattern2631R~  t   rule2631t   pattern2632R  t   rule2632t   pattern2633R  t   rule2633t   pattern2634R  t   rule2634t   pattern2635R  t   rule2635t   pattern2636R  t   rule2636t   pattern2637R  t   rule2637t   pattern2638R  t   rule2638t   pattern2639R  t   rule2639t   pattern2640R  t   rule2640t   pattern2641R  t   rule2641t   pattern2642R  t   rule2642t   pattern2643R  t   rule2643t   pattern2644R  t   rule2644t   pattern2645R  t   rule2645t   pattern2646R  t   rule2646t   pattern2647R  t   rule2647t   pattern2648R  t   rule2648t   pattern2649R  t   rule2649t   pattern2650R  t   rule2650t   pattern2651R  t   rule2651t   pattern2652R  t   rule2652t   pattern2653R  t   rule2653t   pattern2654R  t   rule2654t   pattern2655R  t   rule2655t   pattern2656R  t   rule2656t   pattern2657R  t   rule2657t   pattern2658R  t   rule2658t   pattern2659R  t   rule2659t   pattern2660R  t   rule2660t   pattern2661R  t   rule2661t   pattern2662R  t   rule2662t   pattern2663R  t   rule2663t   pattern2664R  t   rule2664t   pattern2665R   t   rule2665t   pattern2666R¡  t   rule2666t   pattern2667R¢  t   rule2667t   pattern2668R£  t   rule2668t   pattern2669R€  t   rule2669t   pattern2670R¥  t   rule2670t   pattern2671RŠ  t   rule2671t   pattern2672R§  t   rule2672t   pattern2673Rš  t   rule2673t   pattern2674R©  t   rule2674t   pattern2675Rª  t   rule2675t   pattern2676R«  t   rule2676t   pattern2677R¬  t   rule2677t   pattern2678R­  t   rule2678t   pattern2679R®  t   rule2679t   pattern2680R¯  t   rule2680t   pattern2681R°  t   rule2681t   pattern2682R±  t   rule2682t   pattern2683R²  t   rule2683t   pattern2684R³  t   rule2684t   pattern2685RŽ  t   rule2685t   pattern2686Rµ  t   rule2686t   pattern2687R¶  t   rule2687t   pattern2688R·  t   rule2688t   pattern2689Rž  t   rule2689t   pattern2690R¹  t   rule2690t   pattern2691Rº  t   rule2691t   pattern2692R»  t   rule2692t   pattern2693RŒ  t   rule2693t   pattern2694Rœ  t   rule2694t   pattern2695RŸ  t   rule2695t   pattern2696R¿  t   rule2696t   pattern2697RÀ  t   rule2697t   pattern2698RÁ  t   rule2698t   pattern2699RÂ  t   rule2699t   pattern2700RÃ  t   rule2700t   pattern2701RÄ  t   rule2701t   pattern2702RÅ  t   rule2702t   pattern2703RÆ  t   rule2703t   pattern2704RÇ  t   rule2704t   pattern2705RÈ  t   rule2705t   pattern2706RÉ  t   rule2706t   pattern2707RÊ  t   rule2707t   pattern2708RË  t   rule2708t   pattern2709RÌ  t   rule2709t   pattern2710RÍ  t   rule2710t   pattern2711RÎ  t   rule2711t   pattern2712RÏ  t   rule2712t   pattern2713RÐ  t   rule2713t   pattern2714RÑ  t   rule2714t   pattern2715RÒ  t   rule2715t   pattern2716RÓ  t   rule2716t   pattern2717RÔ  t   rule2717t   pattern2718RÕ  t   rule2718t   pattern2719RÖ  t   rule2719t   pattern2720R×  t   rule2720t   pattern2721RØ  t   rule2721t   pattern2722RÙ  t   rule2722t   pattern2723RÚ  t   rule2723RÛ  t   pattern2724t   rule2724RÜ  t   pattern2725t   rule2725t   pattern2726RÝ  t   rule2726t   pattern2727RÞ  t   rule2727t   pattern2728Rß  t   rule2728t   pattern2729Rà  t   rule2729t   pattern2730Rá  t   rule2730t   pattern2731Râ  t   rule2731t   pattern2732Rã  t   rule2732t   pattern2733Rä  t   rule2733t   pattern2734Rå  t   rule2734t   pattern2735Ræ  t   rule2735t   pattern2736Rç  t   rule2736t   pattern2737Rè  t   rule2737t   pattern2738Ré  t   rule2738t   pattern2739Rê  t   rule2739t   pattern2740Rë  t   rule2740t   pattern2741Rì  t   rule2741t   pattern2742Rí  t   rule2742t   pattern2743Rî  t   rule2743t   pattern2744Rï  t   rule2744t   pattern2745Rð  t   rule2745t   pattern2746Rñ  t   rule2746t   pattern2747Rò  t   rule2747t   pattern2748Ró  t   rule2748t   pattern2749Rô  t   rule2749t   pattern2750Rõ  t   rule2750t   pattern2751Rö  t   rule2751t   pattern2752R÷  t   rule2752t   pattern2753Rø  t   rule2753t   pattern2754Rù  t   rule2754t   pattern2755Rú  t   rule2755t   pattern2756Rû  t   rule2756t   pattern2757Rü  t   rule2757t   pattern2758Rý  t   rule2758t   pattern2759Rþ  t   rule2759t   pattern2760Rÿ  t   rule2760t   pattern2761R   t   rule2761t   pattern2762R  t   rule2762t   pattern2763R  t   rule2763t   pattern2764R  t   rule2764t   pattern2765R  t   rule2765t   pattern2766R  t   rule2766t   pattern2767R  t   rule2767t   pattern2768R  t   rule2768t   pattern2769R  t   rule2769t   pattern2770R	  t   rule2770t   pattern2771R
  t   rule2771t   pattern2772R  t   rule2772t   pattern2773R  t   rule2773t   pattern2774R  t   rule2774t   pattern2775R  t   rule2775t   pattern2776R  t   rule2776t   pattern2777R  t   rule2777t   pattern2778R  t   rule2778t   pattern2779R  t   rule2779t   pattern2780R  t   rule2780t   pattern2781R  t   rule2781t   pattern2782R  t   rule2782t   pattern2783R  t   rule2783t   pattern2784R  t   rule2784t   pattern2785R  t   rule2785t   pattern2786R  t   rule2786t   pattern2787R  t   rule2787t   pattern2788R  t   rule2788t   pattern2789R  t   rule2789t   pattern2790R  t   rule2790t   pattern2791R  t   rule2791t   pattern2792R  t   rule2792t   pattern2793R   t   rule2793t   pattern2794R!  t   rule2794t   pattern2795R"  t   rule2795t   pattern2796R#  t   rule2796t   pattern2797R$  t   rule2797t   pattern2798R%  t   rule2798t   pattern2799R&  t   rule2799t   pattern2800R'  t   rule2800t   pattern2801R(  t   rule2801t   pattern2802R)  t   rule2802t   pattern2803R*  t   rule2803t   pattern2804R+  t   rule2804t   pattern2805R,  t   rule2805t   pattern2806R-  t   rule2806t   pattern2807R.  t   rule2807t   pattern2808R/  t   rule2808t   pattern2809R0  t   rule2809t   pattern2810R1  t   rule2810t   pattern2811R2  t   rule2811t   pattern2812R3  t   rule2812t   pattern2813R4  t   rule2813t   pattern2814R5  t   rule2814t   pattern2815R6  t   rule2815t   pattern2816R7  t   rule2816t   pattern2817R8  t   rule2817t   pattern2818R9  t   rule2818t   pattern2819R:  t   rule2819t   pattern2820R;  t   rule2820t   pattern2821R<  t   rule2821t   pattern2822R=  t   rule2822t   pattern2823R>  t   rule2823t   pattern2824R?  t   rule2824t   pattern2825R@  t   rule2825t   pattern2826RA  t   rule2826t   pattern2827RB  t   rule2827t   pattern2828RC  t   rule2828t   pattern2829RD  t   rule2829t   pattern2830RE  t   rule2830t   pattern2831RF  t   rule2831t   pattern2832RG  t   rule2832t   pattern2833RH  t   rule2833t   pattern2834RI  t   rule2834t   pattern2835RJ  t   rule2835t   pattern2836RK  t   rule2836t   pattern2837RL  t   rule2837t   pattern2838RO  t   rule2838t   pattern2839RP  t   rule2839t   pattern2840RQ  t   rule2840t   pattern2841RR  t   rule2841t   pattern2842RS  t   rule2842t   pattern2843RT  t   rule2843t   pattern2844RU  t   rule2844t   pattern2845RV  t   rule2845t   pattern2846RW  t   rule2846t   pattern2847RX  t   rule2847t   pattern2848RY  t   rule2848t   pattern2849RZ  t   rule2849t   pattern2850R[  t   rule2850t   pattern2851R\  t   rule2851t   pattern2852R]  t   rule2852t   pattern2853R^  t   rule2853t   pattern2854R_  t   rule2854t   pattern2855R`  t   rule2855t   pattern2856Ra  t   rule2856t   pattern2857Rb  t   rule2857t   pattern2858Rc  t   rule2858t   pattern2859Rd  t   rule2859t   pattern2860Re  t   rule2860t   pattern2861Rf  t   rule2861t   pattern2862Rg  t   rule2862t   pattern2863Rh  t   rule2863t   pattern2864Ri  t   rule2864t   pattern2865Rj  t   rule2865t   pattern2866Rk  t   rule2866t   pattern2867Rl  t   rule2867t   pattern2868Rm  t   rule2868t   pattern2869Rn  t   rule2869t   pattern2870Ro  t   rule2870t   pattern2871Rp  t   rule2871t   pattern2872Rq  t   rule2872t   pattern2873Rr  t   rule2873t   pattern2874Rs  t   rule2874t   pattern2875Rt  t   rule2875t   pattern2876Ru  t   rule2876t   pattern2877Rv  t   rule2877t   pattern2878Rw  t   rule2878t   pattern2879Rx  t   rule2879t   pattern2880Ry  t   rule2880t   pattern2881Rz  t   rule2881t   pattern2882R{  t   rule2882t   pattern2883R|  t   rule2883t   pattern2884R}  t   rule2884t   pattern2885R~  t   rule2885t   pattern2886R  t   rule2886t   pattern2887R  t   rule2887t   pattern2888R  t   rule2888t   pattern2889R  t   rule2889t   pattern2890R  t   rule2890t   pattern2891R  t   rule2891t   pattern2892R  t   rule2892t   pattern2893R  t   rule2893t   pattern2894R  t   rule2894t   pattern2895R  t   rule2895t   pattern2896R  t   rule2896t   pattern2897R  t   rule2897t   pattern2898R  t   rule2898t   pattern2899R  t   rule2899t   pattern2900R  t   rule2900t   pattern2901R  t   rule2901t   pattern2902R  t   rule2902t   pattern2903R  t   rule2903t   pattern2904R  t   rule2904t   pattern2905R  t   rule2905t   pattern2906R  t   rule2906t   pattern2907R  t   rule2907t   pattern2908R  t   rule2908t   pattern2909R  t   rule2909t   pattern2910R  t   rule2910t   pattern2911R  t   rule2911t   pattern2912R  t   rule2912t   pattern2913R  t   rule2913t   pattern2914R  t   rule2914t   pattern2915R  t   rule2915t   pattern2916R  t   rule2916t   pattern2917R  t   rule2917t   pattern2918R  t   rule2918t   pattern2919R   t   rule2919t   pattern2920R¡  t   rule2920t   pattern2921R¢  t   rule2921t   pattern2922R€  t   rule2922t   pattern2923R¥  t   rule2923t   pattern2924RŠ  t   rule2924t   pattern2925R§  t   rule2925t   pattern2926Rš  t   rule2926t   pattern2927R©  t   rule2927t   pattern2928Rª  t   rule2928t   pattern2929R«  t   rule2929t   pattern2930R¬  t   rule2930t   pattern2931R­  t   rule2931t   pattern2932R®  t   rule2932t   pattern2933R¯  t   rule2933t   pattern2934R°  t   rule2934t   pattern2935R±  t   rule2935t   pattern2936R²  t   rule2936t   pattern2937R³  t   rule2937t   pattern2938RŽ  t   rule2938t   pattern2939Rµ  t   rule2939t   pattern2940R¶  t   rule2940t   pattern2941R·  t   rule2941t   pattern2942Rž  t   rule2942t   pattern2943R¹  t   rule2943t   pattern2944Rº  t   rule2944t   pattern2945R»  t   rule2945t   pattern2946RŒ  t   rule2946t   pattern2947Rœ  t   rule2947t   pattern2948RŸ  t   rule2948t   pattern2949R¿  t   rule2949t   pattern2950RÀ  t   rule2950t   pattern2951RÁ  t   rule2951t   pattern2952RÂ  t   rule2952t   pattern2953RÃ  t   rule2953t   pattern2954RÄ  t   rule2954t   pattern2955RÅ  t   rule2955t   pattern2956RÆ  t   rule2956t   pattern2957RÇ  t   rule2957t   pattern2958RÈ  t   rule2958t   pattern2959RÉ  t   rule2959t   pattern2960RÊ  t   rule2960t   pattern2961RË  t   rule2961t   pattern2962RÌ  t   rule2962t   pattern2963RÍ  t   rule2963t   pattern2964RÎ  t   rule2964t   pattern2965RÏ  t   rule2965t   pattern2966RÐ  t   rule2966t   pattern2967RÑ  t   rule2967t   pattern2968RÒ  t   rule2968t   pattern2969RÓ  t   rule2969t   pattern2970RÔ  t   rule2970t   pattern2971RÕ  t   rule2971t   pattern2972RÖ  t   rule2972t   pattern2973R×  t   rule2973t   pattern2974RØ  t   rule2974t   pattern2975RÙ  t   rule2975t   pattern2976RÚ  t   rule2976t   pattern2977RÛ  t   rule2977t   pattern2978RÜ  t   rule2978t   pattern2979RÝ  t   rule2979t   pattern2980RÞ  t   rule2980t   pattern2981Rß  t   rule2981t   pattern2982Rà  t   rule2982t   pattern2983Rá  t   rule2983t   pattern2984Râ  t   rule2984t   pattern2985Rã  t   rule2985t   pattern2986Rä  t   rule2986t   pattern2987Rå  t   rule2987t   pattern2988Ræ  t   rule2988t   pattern2989Rç  t   rule2989t   pattern2990Rè  t   rule2990t   pattern2991Ré  t   rule2991t   pattern2992Rê  t   rule2992t   pattern2993Rë  t   rule2993t   pattern2994Rì  t   rule2994t   pattern2995Rí  t   rule2995t   pattern2996Rî  t   rule2996t   pattern2997Rï  t   rule2997t   pattern2998Rð  t   rule2998t   pattern2999Rñ  t   rule2999t   pattern3000Rò  t   rule3000t   pattern3001Ró  t   rule3001t   pattern3002Rô  t   rule3002t   pattern3003Rõ  t   rule3003t   pattern3004Rö  t   rule3004t   pattern3005R÷  t   rule3005t   pattern3006Rø  t   rule3006t   pattern3007Rù  t   rule3007t   pattern3008Rú  t   rule3008t   pattern3009Rû  t   rule3009t   pattern3010Rü  t   rule3010t   pattern3011Rý  t   rule3011t   pattern3012Rþ  t   rule3012t   pattern3013Rÿ  t   rule3013t   pattern3014R   t   rule3014t   pattern3015R  t   rule3015t   pattern3016R  t   rule3016t   pattern3017R  t   rule3017t   pattern3018R  t   rule3018t   pattern3019R  t   rule3019t   pattern3020R  t   rule3020t   pattern3021R  t   rule3021t   pattern3022R  t   rule3022t   pattern3023R	  t   rule3023t   pattern3024R
  t   rule3024t   pattern3025R  t   rule3025t   pattern3026R  t   rule3026t   pattern3027R  t   rule3027t   pattern3028R  t   rule3028t   pattern3029R  t   rule3029t   pattern3030R  t   rule3030t   pattern3031R  t   rule3031t   pattern3032R  t   rule3032t   pattern3033R  t   rule3033t   pattern3034R  t   rule3034t   pattern3035R  t   rule3035t   pattern3036R  t   rule3036t   pattern3037R  t   rule3037t   pattern3038R  t   rule3038t   pattern3039R  t   rule3039t   pattern3040R  t   rule3040t   pattern3041R  t   rule3041t   pattern3042R  t   rule3042t   pattern3043R  t   rule3043t   pattern3044R  t   rule3044t   pattern3045R  t   rule3045t   pattern3046R   t   rule3046t   pattern3047R!  t   rule3047t   pattern3048R"  t   rule3048t   pattern3049R#  t   rule3049t   pattern3050R$  t   rule3050t   pattern3051R%  t   rule3051t   pattern3052R&  t   rule3052t   pattern3053R'  t   rule3053t   pattern3054R(  t   rule3054t   pattern3055R)  t   rule3055t   pattern3056R*  t   rule3056t   pattern3057R+  t   rule3057t   pattern3058R,  t   rule3058t   pattern3059R-  t   rule3059t   pattern3060R.  t   rule3060t   pattern3061R/  t   rule3061t   pattern3062R0  t   rule3062t   pattern3063R1  t   rule3063t   pattern3064R2  t   rule3064t   pattern3065R3  t   rule3065t   pattern3066R4  t   rule3066t   pattern3067R5  t   rule3067t   pattern3068R6  t   rule3068t   pattern3069R7  t   rule3069t   pattern3070R8  t   rule3070t   pattern3071R9  t   rule3071t   pattern3072R:  t   rule3072t   pattern3073R;  t   rule3073t   pattern3074R<  t   rule3074t   pattern3075R=  t   rule3075t   pattern3076R>  t   rule3076t   pattern3077R?  t   rule3077R@  t   pattern3078t   rule3078RA  t   pattern3079t   rule3079RB  t   pattern3080t   rule3080RC  t   pattern3081t   rule3081t   pattern3082RD  t   rule3082t   pattern3083RE  t   rule3083t   pattern3084RF  t   rule3084t   pattern3085RG  t   rule3085t   pattern3086RH  t   rule3086t   pattern3087RJ  t   rule3087t   pattern3088RK  t   rule3088t   pattern3089RL  t   rule3089t   pattern3090RM  t   rule3090t   pattern3091RN  t   rule3091t   pattern3092RO  t   rule3092t   pattern3093RP  t   rule3093t   pattern3094RQ  t   rule3094t   pattern3095RR  t   rule3095t   pattern3096RS  t   rule3096t   pattern3097RT  t   rule3097t   pattern3098RU  t   rule3098t   pattern3099RV  t   rule3099t   pattern3100RW  t   rule3100t   pattern3101RX  t   rule3101t   pattern3102RY  t   rule3102t   pattern3103RZ  t   rule3103t   pattern3104R[  t   rule3104t   pattern3105R\  t   rule3105t   pattern3106R]  t   rule3106t   pattern3107R^  t   rule3107t   pattern3108R_  t   rule3108t   pattern3109R`  t   rule3109t   pattern3110Ra  t   rule3110t   pattern3111Rb  t   rule3111t   pattern3112Rc  t   rule3112t   pattern3113Rd  t   rule3113t   pattern3114Re  t   rule3114t   pattern3115Rf  t   rule3115t   pattern3116Rg  t   rule3116t   pattern3117Rh  t   rule3117t   pattern3118Ri  t   rule3118t   pattern3119Rj  t   rule3119t   pattern3120Rk  t   rule3120t   pattern3121Rl  t   rule3121t   pattern3122Rm  t   rule3122t   pattern3123Rn  t   rule3123t   pattern3124Ro  t   rule3124t   pattern3125Rp  t   rule3125t   pattern3126Rq  t   rule3126t   pattern3127Rr  t   rule3127t   pattern3128Rs  t   rule3128t   pattern3129Rt  t   rule3129t   pattern3130Ru  t   rule3130t   pattern3131Rv  t   rule3131t   pattern3132Rw  t   rule3132t   pattern3133Rx  t   rule3133Ry  t   pattern3134t   rule3134Rz  t   pattern3135t   rule3135t   pattern3136R{  t   rule3136t   pattern3137R|  t   rule3137t   pattern3138R}  t   rule3138t   pattern3139R~  t   rule3139R  t   pattern3140t   rule3140R  t   pattern3141t   rule3141t   pattern3142R  t   rule3142t   pattern3143R  t   rule3143t   pattern3144R  t   rule3144t   pattern3145R  t   rule3145R  t   pattern3146t   rule3146R  t   pattern3147t   rule3147R  t   pattern3148t   rule3148R  t   pattern3149t   rule3149t   pattern3150R  t   rule3150t   pattern3151R  t   rule3151R  t   pattern3152t   rule3152R  t   pattern3153t   rule3153t   pattern3154R  t   rule3154t   pattern3155R  t   rule3155t   pattern3156R  t   rule3156t   pattern3157R  t   rule3157R  t   pattern3158t   rule3158R  t   pattern3159t   rule3159R  t   pattern3160t   rule3160R  t   pattern3161t   rule3161R  t   pattern3162t   rule3162R  t   pattern3163t   rule3163R  t   pattern3164t   rule3164R  t   pattern3165t   rule3165R  t   pattern3166t   rule3166R  t   pattern3167t   rule3167R  t   pattern3168t   rule3168R  t   pattern3169t   rule3169t   pattern3170R  t   rule3170t   pattern3171R  t   rule3171t   pattern3172R  t   rule3172t   pattern3173R   t   rule3173R¡  t   pattern3174t   rule3174R¢  t   pattern3175t   rule3175t   pattern3176R£  t   rule3176t   pattern3177R€  t   rule3177t   pattern3178R¥  t   rule3178t   pattern3179RŠ  t   rule3179R§  t   pattern3180t   rule3180Rš  t   pattern3181t   rule3181t   pattern3182R©  t   rule3182t   pattern3183Rª  t   rule3183R«  t   pattern3184t   rule3184R¬  t   pattern3185t   rule3185t   pattern3186R­  t   rule3186t   pattern3187R®  t   rule3187t   pattern3188R¯  t   rule3188t   pattern3189R°  t   rule3189R±  t   pattern3190t   rule3190R²  t   pattern3191t   rule3191t   pattern3192R³  t   rule3192t   pattern3193RŽ  t   rule3193Rµ  t   pattern3194t   rule3194R¶  t   pattern3195t   rule3195t   pattern3196R·  t   rule3196t   pattern3197Rž  t   rule3197t   pattern3198R¹  t   rule3198t   pattern3199Rº  t   rule3199R»  t   pattern3200t   rule3200RŒ  t   pattern3201t   rule3201t   pattern3202Rœ  t   rule3202t   pattern3203RŸ  t   rule3203R¿  t   pattern3204t   rule3204RÀ  t   pattern3205t   rule3205t   pattern3206RÁ  t   rule3206t   pattern3207RÂ  t   rule3207t   pattern3208RÃ  t   rule3208t   pattern3209RÄ  t   rule3209RÅ  t   pattern3210t   rule3210RÆ  t   pattern3211t   rule3211t   pattern3212RÇ  t   rule3212t   pattern3213RÈ  t   rule3213t   pattern3214RÉ  t   rule3214t   pattern3215RÊ  t   rule3215t   pattern3216RË  t   rule3216t   pattern3217RÌ  t   rule3217RÍ  t   pattern3218t   rule3218RÎ  t   pattern3219t   rule3219t   pattern3220RÏ  t   rule3220t   pattern3221RÐ  t   rule3221t   pattern3222RÑ  t   rule3222t   pattern3223RÒ  t   rule3223t   pattern3224RÓ  t   rule3224t   pattern3225RÔ  t   rule3225t   pattern3226RÕ  t   rule3226t   pattern3227RÖ  t   rule3227t   pattern3228R×  t   rule3228t   pattern3229RØ  t   rule3229t   pattern3230RÙ  t   rule3230t   pattern3231RÚ  t   rule3231t   pattern3232RÛ  t   rule3232t   pattern3233RÜ  t   rule3233t   pattern3234RÞ  t   rule3234t   pattern3235Rß  t   rule3235t   pattern3236Rà  t   rule3236t   pattern3237Rá  t   rule3237t   pattern3238Râ  t   rule3238t   pattern3239Rã  t   rule3239t   pattern3240Rä  t   rule3240t   pattern3241Rå  t   rule3241t   pattern3242Ræ  t   rule3242t   pattern3243Rç  t   rule3243t   pattern3244Rè  t   rule3244t   pattern3245Ré  t   rule3245t   pattern3246Rê  t   rule3246t   pattern3247Rë  t   rule3247t   pattern3248Rì  t   rule3248t   pattern3249Rí  t   rule3249t   pattern3250Rî  t   rule3250t   pattern3251Rï  t   rule3251t   pattern3252Rð  t   rule3252t   pattern3253Rñ  t   rule3253t   pattern3254Rò  t   rule3254t   pattern3255Ró  t   rule3255t   pattern3256Rô  t   rule3256t   pattern3257Rõ  t   rule3257t   pattern3258Rö  t   rule3258t   pattern3259R÷  t   rule3259t   pattern3260Rø  t   rule3260t   pattern3261Rù  t   rule3261t   pattern3262Rú  t   rule3262t   pattern3263Rû  t   rule3263t   pattern3264Rý  t   rule3264t   pattern3265Rþ  t   rule3265t   pattern3266Rÿ  t   rule3266t   pattern3267R   t   rule3267t   pattern3268R  t   rule3268t   pattern3269R  t   rule3269t   pattern3270R  t   rule3270t   pattern3271R  t   rule3271t   pattern3272R  t   rule3272t   pattern3273R  t   rule3273t   pattern3274R  t   rule3274t   pattern3275R  t   rule3275t   pattern3276R	  t   rule3276t   pattern3277R
  t   rule3277t   pattern3278R  t   rule3278t   pattern3279R  t   rule3279t   pattern3280R  t   rule3280t   pattern3281R  t   rule3281t   pattern3282R  t   rule3282t   pattern3283R  t   rule3283t   pattern3284R  t   rule3284t   pattern3285R  t   rule3285t   pattern3286R  t   rule3286t   pattern3287R  t   rule3287t   pattern3288R  t   rule3288t   pattern3289R  t   rule3289t   pattern3290R  t   rule3290t   pattern3291R  t   rule3291t   pattern3292R  t   rule3292t   pattern3293R  t   rule3293t   pattern3294R  t   rule3294t   pattern3295R  t   rule3295t   pattern3296R  t   rule3296t   pattern3297R  t   rule3297t   pattern3298R  t   rule3298t   pattern3299R   t   rule3299R!  t   pattern3300t   rule3300R"  t   pattern3301t   rule3301t   pattern3302R#  t   rule3302t   pattern3303R$  t   rule3303t   pattern3304R%  t   rule3304t   pattern3305R&  t   rule3305t   pattern3306R'  t   rule3306t   pattern3307R(  t   rule3307t   pattern3308R)  t   rule3308t   pattern3309R*  t   rule3309t   pattern3310R+  t   rule3310t   pattern3311R,  t   rule3311t   pattern3312R-  t   rule3312t   pattern3313R.  t   rule3313t   pattern3314R/  t   rule3314t   pattern3315R0  t   rule3315R6  t   pattern3316R7  t   rule3316R8  t   pattern3317R9  t   rule3317R:  t   pattern3318R;  t   rule3318R<  t   pattern3319R=  t   rule3319t   pattern3320R>  t   rule3320t   pattern3321R?  t   rule3321t   pattern3322R@  t   rule3322t   pattern3323RA  t   rule3323t   pattern3324RB  t   rule3324t   pattern3325RC  t   rule3325t   pattern3326RD  t   rule3326t   pattern3327RE  t   rule3327t   pattern3328RF  t   rule3328t   pattern3329RG  t   rule3329t   pattern3330RH  t   rule3330t   pattern3331RI  t   rule3331t   pattern3332RJ  t   rule3332t   pattern3333RK  t   rule3333t   pattern3334RL  t   rule3334t   pattern3335RM  t   rule3335RN  t   pattern3336t   rule3336RO  t   pattern3337t   rule3337t   pattern3338RP  t   rule3338t   pattern3339RQ  t   rule3339t   pattern3340RR  t   rule3340t   pattern3341RS  t   rule3341t   pattern3342RT  t   rule3342t   pattern3343RU  t   rule3343t   pattern3344RV  t   rule3344t   pattern3345RW  t   rule3345RX  t   pattern3346t   rule3346RY  t   pattern3347t   rule3347t   pattern3348RZ  t   rule3348t   pattern3349R[  t   rule3349R\  t   pattern3350t   rule3350R]  t   pattern3351t   rule3351t   pattern3352R^  t   rule3352t   pattern3353R_  t   rule3353t   pattern3354R`  t   rule3354t   pattern3355Ra  t   rule3355t   pattern3356Rb  t   rule3356t   pattern3357Rc  t   rule3357t   pattern3358Rd  t   rule3358t   pattern3359Re  t   rule3359t   pattern3360Rf  t   rule3360t   pattern3361Rg  t   rule3361t   pattern3362Rh  t   rule3362t   pattern3363Ri  t   rule3363t   pattern3364Rj  t   rule3364t   pattern3365Rk  t   rule3365t   pattern3366Rl  t   rule3366t   pattern3367Rm  t   rule3367t   pattern3368Rn  t   rule3368t   pattern3369Ro  t   rule3369t   pattern3370Rp  t   rule3370t   pattern3371Rq  t   rule3371t   pattern3372Rr  t   rule3372t   pattern3373Rs  t   rule3373t   pattern3374Rt  t   rule3374t   pattern3375Ru  t   rule3375t   pattern3376Rv  t   rule3376t   pattern3377Rw  t   rule3377t   pattern3378Rx  t   rule3378t   pattern3379Ry  t   rule3379t   pattern3380Rz  t   rule3380t   pattern3381R{  t   rule3381t   pattern3382R|  t   rule3382t   pattern3383R}  t   rule3383t   pattern3384R~  t   rule3384t   pattern3385R  t   rule3385t   pattern3386R  t   rule3386t   pattern3387R  t   rule3387t   pattern3388R  t   rule3388t   pattern3389R  t   rule3389t   pattern3390R  t   rule3390t   pattern3391R  t   rule3391t   pattern3392R  t   rule3392t   pattern3393R  t   rule3393t   pattern3394R  t   rule3394t   pattern3395R  t   rule3395t   pattern3396R  t   rule3396t   pattern3397R  t   rule3397(    (   R  s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   sine   st    ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ²ÕŒŒ······²ŒŽŽŽŽÕÕ··ºº····ÆÆNNggggJJPPWWZZaaggqqqqmmnnqqwwttttttpppppptttttttqqzzzzzzttqqÆÆÃÃŽŽÁÁÁÁÄÄÁÁÁÁÁÁÁÁ¹¹ÇÇÇÇÇÇÇÇºººº¹¹ÁÁÀÀÀÀÊÊÍÍÁÁÁÁÄÄÁÁÁÁÄÄÁÁÃÃŸŸŸŸŸŸ³³œœŸŸŸŸÊÊÆÆÃÍŽŸ¥¯ÙÙÊÊ®®®®««««œœ««®®š²ÁÁÃÍÙÙšš®®®®®®····³³®®¢¬ÙÙÊÊÃÃÒÒææÃÃÇÇËËÎÎÍÍËËÎÎÎÎÈÈÜÜÜÜŽŽÁÁÐÐÐÐÌÌÓÓÓÓÄÄÍÍÜÜ««««ËËËËÝÝààÝÝÝÝààÖÖÖÖÓÓÜÜÝÝßÜÏÏŒŒÕÕÙÙÕÕÜÜÜÜÙÙÉÉßßÝÝææÄÄÓÓÐÐÚÚŸŸÚÚÚÚììïïÁÁÝÝììÉÉååììËËööïïÞÞææëëëëëë¿¿ŒŒŒŒØØØØÉÉÉÉÉÉÆÆÆÆÓÓââÐÐïïààææööÝÝÑÑÅÅÿ  ÿ  ÿ ÿ ÿ ÿ ÿ 'ÿ 'ÿ 'ÿ 'ÿ ÿ ÿ ÿ ÿ 4ÿ 4ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ *ÿ *ÿ *ÿ *ÿ -ÿ -ÿ ÿ ÿ ÿ ÿ ÿ ÿ *ÿ *ÿ -ÿ -ÿ 0ÿ 0ÿ !ÿ !ÿ ÿ ÿ 3ÿ 3ÿ -ÿ -ÿ ÿ ÿ 	ÿ 	òòøøøøïïÿ 	ÿ 	øøÿ 	ÿ 	ÿ ÿ ûûøøøøøøøøòòõõÿ ÿ ÿ ÿ ÿ 	ÿ 	ÿ ÿ ÿ ÿ øøøøþþþþÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ïïîîÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ééððééÿÿÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ùùÿ ÿ ÿÿùùüüÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ =ÿ =ÿ Lÿ Lÿ 
ÿ 
ÿ ÿ ÿ 
ÿ 
ööÿ ÿ ÿ ÿ ííííÿ 
ÿ 
ÿ ÿ ÿ ÿ ÿ ÿ ÷÷÷÷ööööööööÿ ÿ ýýööóóÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ Oÿ Oÿ Rÿ Rÿ :ÿ :ÿ ÿ ÿ "ÿ "ÿ "ÿ "ÿ Oÿ Oÿ Rÿ Rÿ :ÿ :ÿ "ÿ "ÿ "ÿ "ÿ "ÿ "ÿ #ÿ #ÿ Cÿ Cÿ Eÿ Eÿ  ÿ  ÿ 7ÿ 7ÿ 0ÿ 0ÿ 7ÿ 7ÿ 7ÿ 7ÿ :ÿ :ÿ =ÿ =ÿ @ÿ @ÿ =ÿ =ÿ @ÿ @ÿ 6ÿ 6ÿ 6ÿ 6ÿ 6ÿ 6ÿ 2ÿ 2ÿ :ÿ :ÿ :ÿ :ÿ ,ÿ ,ÿ 0ÿ 0ÿ Fÿ Fÿ Fÿ Fÿ Iÿ Iÿ ÿ ÿ :ÿ :ÿ ÿ ÿ ÿ ÿ ÿ ÿ "ÿ "ÿ "ÿ "ÿ =ÿ =ÿ Fÿ Fÿ Iÿ Iÿ 5ÿ 5ÿ <ÿ <ÿ Eÿ Eööýýÿ 2ÿ 2ÿ Rÿ Rÿ Gÿ Gÿ ÿ ŽŽŸŸŸŸÍÍÿ *ÿ *ããÿ -ÿ -ææÿ ÿ ××ÿ -ÿ -××ÿ 9ÿ 9ããÿ ÿ ÔÔÿ ÿ ÿ Fÿ Fÿ ÿ ÿ Fÿ Fÿ ÿ ÿ Mÿ Mÿ ¡ÿ ¡ÿ [ÿ [ÿ ¥ÿ ¥ÿ _ÿ _ÿ ÿ ÿ Pÿ Pÿ ÿ ÿ Pÿ Pÿ šÿ šÿ bÿ bÿ ÿ ÿ Pÿ Pÿ ·ÿ ·ÿ qÿ qÿ nÿ nÿ (ÿ (ÿ ÿ ÿ Sÿ Sÿ ÿ ÿ Sÿ Sÿ vÿ vÿ 0ÿ 0ÿ ÿ ÿ Eÿ Eÿ ÿ ÿ <ÿ <ÿ ÿ ÿ Mÿ Mÿ ÿ ÿ Gÿ G­­³°°³°°ççööööóóööÿÿóóààççÖÖààààààççÿ Fÿ :ÿ 6ÿ 3ÿ =³··œ·³¶¹···º·œÀÃ»ºÿ Pÿ 
ÿ 
ÿ bÿ ÿ ÿ bÿ ÿ ÿ lÿ &ÿ &ÿ lÿ &ÿ &ÿ Lÿ iÿ #ÿ #ÿ Yÿ lÿ &ÿ &ÿ lÿ &ÿ &ÿ lÿ &ÿ &ÆÆÿ ÿ ôôÿ ÿ ÿ ÿ qqqqxx{{uu{{rruu||©©žž²²©©¬¬¯¯ÝÝÝç»ÅŸÈùùùùþþòòòòÿ 6ÿ 6ÿ 9ÿ 9ÿ 	ÿ ÿ 0ÿ 0ÿ kÿ kÿ 9ÿ 9ÿ -ÿ -ÿ ÿ 'ÿ Bÿ Bÿ Jÿ Tÿ 9ÿ Cÿ -ÿ 7ÿ *ÿ 4ÿ Bÿ Lÿ Tÿ Jÿ Cÿ 9ÿ 7ÿ -ÿ ÿ ÿ Lÿ Bÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ zzzz°°ÃÃÃ·ÃÃ··­­··ŽŽ}}ÒÒ||yyvvyyµµ²²žž>>EEQQQQcc??FF	³	³	«	«kkrr~~rruurruu±±ŽŽxxuuªª±±ŽŽªª¢¢³³««±±°°ÃÃÖÖÓÓnnnnuu77ššššššššŽŽ»»TTN(d  t   __doc__t   sympy.externalR    R   t   sympy.utilities.decoratorR   R   R   R   R   t%   sympy.integrals.rubi.utility_functionR   R   R	   R
   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R    R!   R"   R#   R$   R%   R&   R'   R(   R)   R*   R+   R,   R-   R.   R/   R0   R1   R2   R3   R4   R5   R6   R7   R8   R9   R:   R;   R<   R=   R>   R?   R@   RA   RB   RC   RD   RE   RF   RG   RH   RI   RJ   RK   RL   RM   RN   RO   RP   RQ   RR   RS   RT   RU   RV   RW   RX   RY   RZ   R[   R\   R]   R^   R_   R`   Ra   Rb   Rc   Rd   Re   Rf   Rg   Rh   Ri   Rj   Rk   Rl   Rm   Rn   Ro   Rp   Rq   Rr   Rs   Rt   Ru   Rv   Rw   Rx   Ry   Rz   R{   R|   R}   R~   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R   R    R¡   R¢   R£   R€   R¥   RŠ   R§   Rš   R©   Rª   R«   R¬   R­   R®   R¯   R°   R±   R²   R³   RŽ   Rµ   R¶   R·   Rž   R¹   Rº   R»   RŒ   Rœ   RŸ   R¿   RÀ   RÁ   RÂ   RÃ   RÄ   RÅ   RÆ   RÇ   RÈ   RÉ   RÊ   RË   RÌ   RÍ   RÎ   RÏ   RÐ   RÑ   RÒ   RÓ   RÔ   RÕ   RÖ   R×   RØ   RÙ   RÚ   RÛ   RÜ   RÝ   RÞ   Rß   Rà   Rá   Râ   Rã   Rä   Rå   Ræ   Rç   Rè   Ré   Rê   Rë   Rì   Rí   Rî   Rï   Rð   Rñ   Rò   Ró   Rô   Rõ   Rö   R÷   Rø   Rù   Rú   Rû   Rü   Rý   Rþ   Rÿ   R   R  R  R  R  R  R  R  R  R	  R
  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R   R!  R"  R#  R$  R%  R&  R'  R(  R)  R*  R+  R,  R-  R.  R/  R0  R1  R2  R3  R4  R5  R6  R7  R8  R9  R:  R;  R<  R=  R>  R?  R@  RA  RB  RC  RD  RE  RF  RG  RH  RI  RJ  RK  RL  RM  RN  RO  RP  RQ  RR  RS  RT  RU  RV  RW  RX  RY  RZ  R[  R\  R]  R^  R_  R`  Ra  Rb  Rc  Rd  Re  Rf  Rg  Rh  Ri  Rj  Rk  Rl  Rm  Rn  Ro  Rp  Rq  Rr  Rs  Rt  Ru  Rv  Rw  Rx  Ry  Rz  R{  R|  R}  R~  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R  R   R¡  R¢  R£  R€  R¥  RŠ  R§  Rš  R©  Rª  R«  R¬  R­  R®  R¯  R°  R±  R²  R³  RŽ  Rµ  R¶  R·  Rž  R¹  Rº  R»  RŒ  Rœ  RŸ  R¿  RÀ  RÁ  RÂ  RÃ  RÄ  RÅ  RÆ  RÇ  RÈ  RÉ  RÊ  RË  RÌ  RÍ  RÎ  RÏ  RÐ  RÑ  RÒ  RÓ  RÔ  RÕ  RÖ  R×  RØ  RÙ  RÚ  RÝ  RÛ  RI  RÜ  RÝ  RÞ  t   sympyRß  Rà  Rá  Râ  Rã  Rä  Rå  Ræ  Rç  Rè  Ré  Rê  Rë  Rì  Rí  Rî  t   sympy.integrals.rubi.symbolRï  t   sympy.core.symbolRð  Rñ  t   sympy.functionsRò  Ró  Rô  Rõ  Rö  R÷  Rø  t%   sympy.functions.elementary.hyperbolicRù  Rú  Rû  Rü  Rý  Rþ  Rÿ  R   R  R  R  R  t(   sympy.functions.elementary.trigonometricR  R  R  R  R	  R
  R  R  RË  t   iR  t   B_t   C_t   F_t   G_t   H_R  R  R  R  R  t   f_R  t   h_t   i_t   j_t   k_t   l_R  R  R  R  t   r_t   t_R  R  t   s_t   w_R  t   y_t   z_t   a1_t   a2_t   b1_t   b2_t   c1_t   c2_t   d1_t   d2_t   n1_R  t   e1_t   e2_t   f1_t   f2_t   g1_t   g2_t   n3_t   Pq_t   Pm_t   Px_t   Qm_t   Qr_t   Qx_t   jn_t   mn_t   non2_t   RFx_t   RGx_t   iit   Pqqt   Qt   Rt   rR£  R°  R  R4  t	   _UseGammat	   ShowStepst   Nonet   StepCounterR@  (    (    (    s>   lib/python2.7/site-packages/sympy/integrals/rubi/rules/sine.pyt   <module>   s>   "ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ 1nj:R4|Ó'	