+
    i0\                     $   ^ RI t ^ RIt^ RIt^ RIHt ^ RIHtHtHt ^ RI	H
t
Ht ^ RIHt ^ RIHtHtHtHt ^ RIHtHtHtHtHtHtHtHtHtHt ^ RIHtH t H!t!H"t"H#t#H$t$H%t% ^ R	I&H't' ^ R
I(H)t) ^ RI*H+t+ ^ RI,H-t-H.t.H/t/H0t0H1t1 ^ RI2H3t3 ^ RI4H5t5 ^ RI6H7t8 ^ RI9H:t: ^ RIH;t; ^ RIH<t< ^ RI=H>t> ]>! R4      t?RR0t@RR0tAR0tB. RRc3R ltCR tDR tER tFR tGR  tHR! tIR" tJR# tKR$ tLR% tMR& tNR' tOR( tPR) tQR* tR^ R+ISHTtT R, tU^ R-IVHWtWHXtXHYtYHZtZH[t[H\t\H]t]H^t^H_t_H`t`HataHbtbHctcHdtdHeteHftfHgtgHhthHitiHjtjHktkHltlHmtmHntnHotoHptpHqtqHrtrHstsHtttHutuHvtvHwtwHxtxHytyHztzH{t{H|t|H}t}H~t~HtHtHtHtHtHtHtHtHtHtHtHtHtHtHtHtHtHtHt R. t^ R/IHt ^ R0IHt ^ R1IHtHt ^ R2IHtHtHtHt ^ R3IHtHtHt R4 t^ R5IHt R6 t^ R7IHt R8 t^ R9IHtHt R: t^ R;IHt R< t^ R=IHt ^ R>IHt R? t]R@ 4       t]RA 4       t^ RBIHt ^ RCIHt ^ RDIHt ^ REIHt RF tRG t]RH 4       tRI tRJ tRK tRL tRM tRN tRO t^ RPIHt ^ RQIHtHt ^ RRIHt ^ RSIHtHt ^ RTIHt ^ RUIHt RV t]RW 4       t]RX 4       t]RY 4       t^ RZIHt ^ R[IHt R\ t^ R]IHt ^ R^IHt R_ tR` tRa tRb tR# )d    N)meter)XFAILraisesignore_warnings)AtomBasic)SingletonRegistry)StrDummySymbolWild)
EIpioozoonanIntegerRationalFloatAlgebraicNumber)EqualityGreaterThanLessThan
RelationalStrictGreaterThanStrictLessThan
Unequality)Add)Mul)Pow)
DerivativeFunctionFunctionClassLambdaWildFunction)Interval)	vectorize)gmpy)SymPyDeprecationWarning)S)symbols)import_modulecloudpickle_assumptions_mhashis_EmptySetexpr_free_symbols_sage_Tc                   a aa	 \        S \        4      '       d   R F  o	\        \        V V	3R l4       K  	  ^\        P                  \        P
                  ^^.p\        '       d   VP                  \        .4       V F  o	S	V9   d   K  \        S	4      '       d"   \        S \        4      '       d   K5  S	! S 4      pMh\        P                  ! S	4      '       d"   S	P                  S	P                  S 4      4      pM+\        P                  ! \        P                  ! S S	4      4      p\        S 4      p\        V4      p\!        V4      \!        V4      8X  g   Q hV'       g   K  VV	3R lpV! S WV4       V! VS V4       K  	  R# )z1Check that pickling and copying round-trips.
    c                  2   < \         P                  ! S S4      # N)pickledumps)aprotocols   a/var/www/html/photoedit/myenv/lib/python3.14/site-packages/sympy/utilities/tests/test_pickling.py<lambda>check.<locals>.<lambda>8   s    Q0I    c                 d  < V EF  pV\         9   d   K  V\        9   d.   \        W4      '       d   \        W4      '       g   Q V4       hKG  KI  V\        9   g   VS9   dD   \	        \
        4      ;_uu_ 4        \        W4      \        W4      8X  g   Q V4       h R R R 4       K  \        W4      '       g   K  \        W4      p\        VR4      '       d   K  \        W4      '       g   Q V4       h\        W4      V8X  d   K  Q \        W4      : RV: RS: 24       h	  R #   + '       g   i     EK+  ; i)N__call__z != z, protocol: )dont_check_attrsnot_equal_attrshasattrdeprecated_attrsr   r*   getattr)r9   bdiattr
deprecatedr:   s   &&&  r;   ccheck.<locals>.cS   s    ((/)q}}&q}}/a/} %**a:o()@AA&q}=@q@= BA "1=D"444&q}}/a/}&q}4pRYZ[R_aego6pp4  BAAs   6!DD/N)r      )
isinstancer   r   NotImplementedErrorcopydeepcopyr.   extendcallabletypeinspectismoduleloadsr8   r7   dirset)
r9   exclude
check_attrrJ   	protocolsrF   d1d2rK   r:   s
   f&&f     @r;   checkr_   2   s    !UH&(IJ  DIIt}}a3I{+'wH!T""Ah''x~~a01AV\\!X67AVV2w#b'!!!	q$ 	
!Q	!QQ r>   c                  z    \         \        4       \        \        4       \        \        3 F  p \	        V 4       K  	  R # r6   )r   r   r	   r+   r_   rK   s    r;   test_core_basicrb   m   s&    DFE57,=qAa Br>   c                  .    \        \        R 4      4       R# xN)r_   r
    r>   r;   test_core_Strrg   q   s    	#c(Or>   c                      \         \        R RR7      \        \        RRR7      \        \        R 4      3 F  p \        V 4       K  	  R# )re   F)commutative_issue_3130N)r   r   r   r_   ra   s    r;   test_core_symbolrk   t   s9     U3E2F=e4dDIGaGr>   c                      \        ^4      \        ^^4      \        R4      3 F  p \        V 4       K  	  \        \	        \        ^4      4      3 F  p \        V RR7       K  	  R# )   z1.2Fr[   N)r   r   r   r_   r   sqrtra   s    r;   test_core_numbersrp   }   sJ    aj(1a.%,7a 8tAw78aE" 9r>   c                  @    \        R 4      R,           p \        V 4       R# )re   g      ?N)r   r_   )ys    r;   test_core_float_copyrs      s    scA	!Hr>   c                  ,   \        R 4      p \        R4      p\        \        W4      \        \        W4      \        \        W4      \        \	        W4      \
        \        W4      \        \        W4      \        \        W4      3 F  p\        V4       K  	  R# )re   rr   N)	r   r   r   r   r   r   r   r   r_   )re   rr   rK   s      r;   test_core_relationalru      sm    sAsA[5F
Jq4D!21!8.Q"J
10@B 	a	Br>   c                  d    \        R 4      p \        \        V ^4      3 F  p\        V4       K  	  R# rd   )r   r   r_   re   rK   s     r;   test_core_addrx      '    sA3q!9a r>   c                  d    \        R 4      p \        \        V ^4      3 F  p\        V4       K  	  R# rd   )r   r    r_   rw   s     r;   test_core_mulr{      ry   r>   c                  d    \        R 4      p \        \        V ^4      3 F  p\        V4       K  	  R# rd   )r   r!   r_   rw   s     r;   test_core_powerr}      ry   r>   c                      \        R 4      p \        \        V 4      \        \        \        \
        3 F  p\        V4       K  	  R# rd   )r   r"   r#   r$   r%   r&   r_   re   fs     r;   test_core_functionr      s0    sA*Q-=&ar>   c                  2    \        R 4      p \        V 4       R# )r   N)r#   r_   )r   s    r;   test_core_undefinedfunctionsr      s    A	!Hr>   c                  T    \        R 4      p \        R4      p\        V! V 4      4       R# )_long_unique_name_1_long_unique_name_2N)r   r#   r_   r   s     r;   test_core_appliedundefr      s#    $%A&'A	!A$Kr>   c                  N    \         \        ^ ^4      3 F  p \        V 4       K  	  R# r   N)r'   r_   ra   s    r;   test_core_intervalr      s    A'a (r>   c                  L    \         \        ^ 4      3 F  p \        V 4       K  	  R# r   )r(   r_   ra   s    r;   test_core_multidimensionalr      s    1&a 'r>   c                  R  a . ROp \         P                   \         P                  .pTV  Uau. uF	  oV3R lNK  	  up,          p\        '       d   VR .,          p\        R4      \        ^ 4      \        ^4      \	        ^^4      \
        \        \        \        \        ) \        \        \        P                  \        P                  \        P                  \        P                  \        P                   \        P"                  3 F  pV F  pV! V4      VJ d   K  Q h	  K  	  R# u upi )r   c                 Z   < \         P                  ! \         P                  ! V S4      4      # r6   )r7   rW   r8   )re   protos   &r;   r<   !test_Singletons.<locals>.<lambda>   s    &,,v||Au'=>r>   c                 R    \         P                  \         P                  V 4      4      # r6   )r.   rW   r8   )re   s   &r;   r<   r      s    k//0A0A!0DEr>   N)r   rM   rm         )rP   rQ   r.   r   r   r   r   r   r   r   r   r+   GoldenRatioTribonacciConstant
EulerGammaCatalanEmptySetIdentityFunction)r\   copiersr   objfuncs     `  r;   test_Singletonsr      s    Iyy$--(G"$" ?"$ $G{EFFWQZXa^RAS#q}}a.B.BLL!))QZZ1C1CE D9### E$s   D$)	FreeGroupc                  2    \        \        R 4      RR7       R# )zx, y, zFrn   N)r_   r   rf   r>   r;   test_free_groupr      s    	)I
51r>   );	Piecewise
lowergammaacosh
chebyshevu
chebyshevtlnchebyshevt_rootlegendre	Heaviside	bernoullicothtanhassoc_legendresignargasin
DiracDeltarerfAbs
uppergammabinomialsinhcoscotacosacotgammabellhermiteharmonicLambertWzetalog	factorialasinhacothcoshdirichlet_etaEijkloggammaerfceilingim	fibonacci
tribonacci	conjugatetanchebyshevu_rootflooratanhro   sinatanfflucasatan2	polygammaexpc                     . \         N\        N\        N\        N\        N\
        N\        N\        N\        N\        N\        N\        N\        N\        N\        N\        N\         N\"        N\$        N\&        N\(        N\*        N\,        N\.        N\        N\0        N\2        N\4        N\6        N\8        N\:        N\<        N\>        N\@        N\B        N\D        N\F        N\H        N\J        N\L        N\N        N\P        N\R        N5p \T        \V        \X        \Z        \\        \^        \`        \b        \d        \f        \h        3p\k        R 4      w  r#p\l        \n        \q        W#V4      \s        ^ VR8  3V^,          V^8*  3V^,          R34      \t        3pV  F!  p\w        V4       V! V4      p\w        V4       K#  	  V F!  p\w        V4       V! W#4      p\w        V4       K#  	  V F  p\w        V4       K  	  R# )x,y,zTNr   )<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   r   r   r   r   r   r,   r   r   r   r   r   r_   )one_vartwo_varre   rr   zothersclsrK   s           r;   test_functionsr      sx   Mu Mb M) MY M	 M4 M MMMM'M)+M-0M26M8;M=@MBFMHLMMM!M#+M-1M36M8AMCHM M M 'M )1M 36M 8?M ACM ENM 	M "	M $'	M ).	M 05	M 7:	M <@	M BG	M IL	MG
 2z:z89gx=GgGA!Q11r6{QT16NQT4LAF c
Fa  c
Ia  c
 r>   )GeometryEntity)Point)CircleEllipse)LineLinearEntityRaySegment)PolygonRegularPolygonTrianglec                     \        ^^4      p \        ^^4      p\        ^ ^ 4      p\        ^ ^4      p\        \        4       \         V \        \        V ^4      \        \        V ^^4      \        \	        W4      \
        \        W4      \        \        W4      \        \        W4      \        \        WW#4      \        \        V ^^4      \        \        WV4      3 F  p\        VRR7       K  	  R# )rM   Frn   N)r   r   r   r   r   r   r   r   r   r   r   r_   )p1p2p3p4rK   s        r;   test_geometryr      s    	q!B	q!B	q!B	q!B(%VVB]Q"D$r,Rc3r;(.2q!$h0DF 	aE"Fr>   )Integralc                  b    \        R 4      p \        \        V 4      3 F  p\        V4       K  	  R# rd   )r   r   r_   rw   s     r;   test_integralsr     s%    sA$a %r>   )Logicc                  L    \         \        ^4      3 F  p \        V 4       K  	  R# rM   N)r   r_   ra   s    r;   
test_logicr     s    U1Xa r>   )MatrixSparseMatrixc                      \         \        . RO4      \        \        ^^.^^..4      3 F  p \        V RR.R7       K  	  R# )rM   _smat_matrJ   NrM   rm   r   )r   r   r_   ra   s    r;   test_matricesr  "  s=    fY'|aVaQRVDT7UVaWf-. Wr>   )Sievec                  J    \         \        4       3 F  p \        V 4       K  	  R # r6   )r  r_   ra   s    r;   test_ntheoryr  *  s    UWa r>   )Pauli)Unitc                  `    \         \        \        \        ^4      3 F  p \        V 4       K  	  R# r   )r  r   r  r_   ra   s    r;   test_physicsr
  3  s     E5%(+a ,r>   c                  .   ^ RI Hp Hp ^ RIHp ^ RIHpHp ^ RIH	pH
pHpHp ^ RIHp	 ^ RIHp
 ^ RIHp ^ RIHp ^ R	IHp ^ R
IHpHpHpHpHpHpHpHp ^ RI H!p ^ RI"H#p ^ RI$H%p W ! RR4      WW#WEVWxWWWVVVVVVVVVV3 F  p\M        V4       K  	  R# )r   )ColorGradientColorScheme)ManagedWindow)Plot
ScreenShot)PlotAxesPlotAxesBasePlotAxesFramePlotAxesOrdinate)
PlotCamera)PlotController)	PlotCurve)PlotInterval)PlotMode)Cartesian2DCartesian3DCylindricalParametricCurve2DParametricCurve3DParametricSurfacePolar	Spherical)
PlotObject)PlotSurface)
PlotWindowg?g?N)'&sympy.plotting.pygletplot.color_schemer  r  (sympy.plotting.pygletplot.managed_windowr  sympy.plotting.plotr  r  #sympy.plotting.pygletplot.plot_axesr  r  r  r  %sympy.plotting.pygletplot.plot_camerar  )sympy.plotting.pygletplot.plot_controllerr  $sympy.plotting.pygletplot.plot_curver  'sympy.plotting.pygletplot.plot_intervalr  #sympy.plotting.pygletplot.plot_moder  $sympy.plotting.pygletplot.plot_modesr  r  r  r  r  r  r   r!  %sympy.plotting.pygletplot.plot_objectr"  &sympy.plotting.pygletplot.plot_surfacer#  %sympy.plotting.pygletplot.plot_windowr$  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$  rK   s                             r;   test_plottingr2  ;  s    QF4kk@H>D<R R R@B@}S#.Z<&(95)Z 	ar>   c                      ^ RI Hp  ^ RIHp ^ RIHp \        V ! R4      4       \        V! ^RR7      4       \        V! 4       4       R# )r   )r  )r  )r  rainbowF)visibleN)r%  r  r'  r  r(  r  r_   )r  r  r  s      r;   test_plotting2r6  V  s6     C(< 
+i
 !	$q%
 !	(*r>   )ZZ)QQ)lex)Polyc                      ^ RI Hp  \        R4      p\        \        W4      3 F  p\	        V4       K  	  W ! V4      3 F  p\	        V4       K  	  R# )r   )PurePolyre   N)sympy.polys.polytoolsr<  r   r:  r_   )r<  re   rK   s      r;   test_pickling_polys_polytoolsr>  s  sD    .sADJa   $a %r>   c            	         ^ RI Hp HpHp W ! \	        ^4      .\	        ^4      .\	        ^4      ..\        4      3 F  p\        VR.R7       K  	  W! \	        ^4      \	        ^4      .\	        ^4      \	        ^4      .3\        4      3 F  p\        V4       K  	  W"! \        ^4      \        ^4      .\        ^4      \        ^4      \        ^4      .\        4      3 F  p\        V4       K  	  R# )r   )DMPDMFANPrepr  N)sympy.polys.polyclassesr@  rA  rB  r7  r_   r8  )r@  rA  rB  rK   s       r;   test_pickling_polys_polyclassesrE    s    553A"Q%2a5'2B78aUG$ 93A1A17<=a >31r!u~1r!ube'<bABa Cr>   c                      ^ RI Hp  V ! R\        \        4      pW3 F  p\	        V^ ^.R7       K  	  VP
                  VP                  3 F  p\	        V^ ^.RR7       K  	  R# )r   )PolyRingr   )rZ   F)rZ   r[   N)sympy.polys.ringsrG  r7  r9  r_   dtypeone)rG  ringrK   s      r;   test_pickling_polys_ringsrL    sY    
 +GR%Da!Q   jj$((#a!QE2 $r>   c                      R # r6   rf   rf   r>   r;   test_pickling_polys_fieldsrN    s    r>   c                  J    ^ RI Hp  W ! ^^4      3 F  p\        V4       K  	  R# )r   )PythonRationalN)"sympy.polys.domains.pythonrationalrP  r_   )rP  rK   s     r;   test_pickling_polys_elementsrR    s$    A nQ23a 4r>   c                     ^ RI Hp  ^ RIHp W ! 4       3 F  p\	        VRR7       K  	  W! 4       3 F  p\	        VRR7       K  	  \
        eE   ^ RIHp ^ RIH	p W3! 4       3 F  p\	        VRR7       K  	  WD! 4       3 F  p\	        VRR7       K  	  ^ RI
Hp ^ R	IHp WU! \        \        ^4      4      3 F  p\	        VRR7       K  	  Wf! 4       3 F  p\	        VRR7       K  	  R# )
r   )PythonIntegerRing)PythonRationalFieldFrn   N)GMPYIntegerRing)GMPYRationalField)AlgebraicField)ExpressionDomain)%sympy.polys.domains.pythonintegerringrT  'sympy.polys.domains.pythonrationalfieldrU  r_   _gmpy#sympy.polys.domains.gmpyintegerringrV  %sympy.polys.domains.gmpyrationalfieldrW  "sympy.polys.domains.algebraicfieldrX  $sympy.polys.domains.expressiondomainrY  r8  ro   )rT  rU  rK   rV  rW  rX  rY  s          r;   test_pickling_polys_domainsra    s    GK  !2!45aE" 6 "#6#89aE" : GK "?#45A!& 6 $%6%89A!& :
 B F nRa9:aE" ;  0 23aE" 4r>   c                      ^ RI Hp HpHpHp W ! 4       3 F  p\        V4       K  	  W! 4       3 F  p\        V4       K  	  W"! 4       3 F  p\        V4       K  	  W3! V ! 4       4      3 F  p\        V4       K  	  R# )r   )LexOrderGradedLexOrderReversedGradedLexOrderInverseOrderN)sympy.polys.orderingsrc  rd  re  rf  r_   )rc  rd  re  rf  rK   s        r;   test_pickling_polys_orderingsrh     s}    . . 
#a $ n./a 0 %&<&>?a @ L45a 6r>   c                      ^ RI Hp Hp \        R4      w  r#pW ! ^4      3 F  p\	        V4       K  	  W! RW#V34      3 F  p\	        V4       K  	  R# )r   )MonomialOpsMonomialr   Nr  )sympy.polys.monomialsrj  rk  r,   r_   )rj  rk  re   rr   r   rK   s         r;   test_pickling_polys_monomialsrm    sP    ;gGA!;q>*a + Q1I67a 8r>   c                  <   ^ RI Hp HpHpHpHpHpHpHpH	pH
p	Hp
HpHpHpHpHpHpHpHp W ! 4       3 F  p\)        V4       K  	  W! 4       3 F  p\)        V4       K  	  W"! 4       3 F  p\)        V4       K  	  W3! 4       3 F  p\)        V4       K  	  WD! 4       3 F  p\)        V4       K  	  WU! 4       3 F  p\)        V4       K  	  Wf! 4       3 F  p\)        V4       K  	  Ww! 4       3 F  p\)        V4       K  	  W! 4       3 F  p\)        V4       K  	  W! 4       3 F  p\)        V4       K  	  W! 4       3 F  p\)        V4       K  	  W! 4       3 F  p\)        V4       K  	  W! 4       3 F  p\)        V4       K  	  W! 4       3 F  p\)        V4       K  	  W! 4       3 F  p\)        V4       K  	  W! 4       3 F  p\)        V4       K  	  VV! 4       3 F  p\)        V4       K  	  VV! 4       3 F  p\)        V4       K  	  VV! 4       3 F  p\)        V4       K  	  R# )r   )HeuristicGCDFailedHomomorphismFailedIsomorphismFailedExtraneousFactorsEvaluationFailedRefinementFailedCoercionFailedNotInvertibleNotReversibleNotAlgebraicDomainErrorPolynomialErrorUnificationFailedGeneratorsErrorGeneratorsNeededUnivariatePolynomialErrorMultivariatePolynomialErrorOptionError	FlagErrorN)sympy.polys.polyerrorsro  rp  rq  rr  rs  rt  ru  rv  rw  rx  ry  rz  r{  r|  r}  r~  r  r  r  r_   )ro  rp  rq  rr  rs  rt  ru  rv  rw  rx  ry  rz  r{  r|  r}  r~  r  r  r  rK   s                       r;   test_pickling_polys_errorsr  "  s'        ( !"4"67a 8 !"4"67a 8  !2!45a 6  !2!45a 6  0 23a 4  0 23a 4 n./a 0 ]_-a . ]_-a . LN+a , ;=)a * 01a 2  !2!45a 6 01a 2  0 23a 4 ()B)DEa F *+F+HIa J ;=)a * %a &r>   c                      ^ RI Hp Hp \        R4      pV^,          V,           ^,           pW ! V^ 4      3 F  p\	        V4       K  	  W! V\
        4      3 F  p\	        V4       K  	  R# )r   )CRootOfRootSumre   N)sympy.polys.rootoftoolsr  r  r   r_   r   )r  r  re   r   rK   s        r;   test_pickling_polys_rootoftoolsr    sY    8sA	1q1Awq!}%a & wq#'a (r>   )LatexPrinter)MathMLContentPrinterMathMLPresentationPrinter)PrettyPrinter)
prettyForm
stringPict)Printer)PythonPrinterc                      \         \        4       \        \        \        \        \
        \        R 4      \        \        4       \        \        4       3 F  p \        V 4       K  	  R# )r9   N)	r  r  r  r  r  r  r  r  r_   ra   s    r;   test_printingr    s>    LN,@'
Jow	=o 	a	r>   c                  ,    \        \        4       4       R # r6   )r_   r  rf   r>   r;   test_printing1r    s    	

 !r>   c                  ,    \        \        4       4       R # r6   )r_   r  rf   r>   r;   test_printing2r    s    	
#
%&r>   c                  ,    \        \        4       4       R # r6   )r_   r  rf   r>   r;   test_printing3r    s    	-/r>   )Limit)Orderc                      \        R 4      p \        R4      p\        \        W^4      \        \        V 4      3 F  p\        V4       K  	  R# )ere   N)r   r  r  r_   )r  re   rK   s      r;   test_seriesr    s8    sAsAU1^UE!H5a 6r>   )Product)Sumc            	          \        R 4      p \        \        W ^^34      \        \        W ^^34      3 F  p\        V4       K  	  R# rd   )r   r  r  r_   rw   s     r;   test_concreter    s<    sAwqa),c3qa)3DEa Fr>   c                  8    \        R RRR7      p \        V 4       R# )messagez1.0zactive-deprecations)deprecated_since_versionactive_deprecations_targetN)r*   r_   )ws    r;   test_deprecation_warningr    s    	Ef{|A	!Hr>   c                      \         P                  ! \         P                  ! \        P                  4      4      \        P                  8X  g   Q hR # r6   )r7   rW   r8   r+   Halfrf   r>   r;   test_issue_18438r    s*    <<QVV,-777r>   c                  V    R p \         P                  ! V 4      \        ^4      8X  g   Q hR# )si   ^       sympy.core.powerPowsympy.core.numbersIntegerKR}bhHalf)R}bR}b.N)r7   rW   ro   )datas    r;   !test_unpickle_from_older_versionsr    s)    	8 	 <<a(((r>   rf   )rU   rP   r7   sympy.physics.unitsr   sympy.testing.pytestr   r   r   sympy.core.basicr   r   sympy.core.singletonr	   sympy.core.symbolr
   r   r   r   sympy.core.numbersr   r   r   r   r   r   r   r   r   r   sympy.core.relationalr   r   r   r   r   r   r   sympy.core.addr   sympy.core.mulr    sympy.core.powerr!   sympy.core.functionr"   r#   r$   r%   r&   sympy.sets.setsr'   sympy.core.multidimensionalr(   sympy.external.gmpyr)   r\  sympy.utilities.exceptionsr*   r+   r,   sympy.externalr-   r.   rB   rD   rA   r_   rb   rg   rk   rp   rs   ru   rx   r{   r}   r   r   r   r   r   r   sympy.combinatorics.free_groupsr   r   sympy.functionsr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   ro   r   r   r   r   r   r   r   r   sympy.geometry.entityr   sympy.geometry.pointr   sympy.geometry.ellipser   r   sympy.geometry.liner   r   r   r   sympy.geometry.polygonr   r   r   r   sympy.integrals.integralsr   r   sympy.core.logicr   r   sympy.matricesr   r   r  sympy.ntheory.generater  r  sympy.physics.paulialgebrar  r  r
  r2  r6  sympy.polys.domains.integerringr7  !sympy.polys.domains.rationalfieldr8  rg  r9  r=  r:  r>  rE  rL  rN  rR  ra  rh  rm  r  r  sympy.printing.latexr  sympy.printing.mathmlr  r  sympy.printing.pretty.prettyr   sympy.printing.pretty.stringpictr  r  sympy.printing.printerr  sympy.printing.pythonr  r  r  r  r  sympy.series.limitsr  sympy.series.orderr  r  sympy.concrete.productsr  sympy.concrete.summationsr  r  r  r  r  rf   r>   r;   <module>r     s      % ? ? ( 2 6 6* * *7 7 7      $ 1 - > " % (M*     
 DR 4v#


$ 620 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 1 & 2 @ @ D D# / #
 0/
 )
 - $  4  . / 0 % &	 3 3	"09#x0TB
 . Q 6 C * / " " ' '   & $ , )
8
)r>   