
    [h                         S SK r S SKrSrSrSr\R
                  S    S:  a  SrOSrSr\(       d  \r	\
r
\rSS jrO\r	\r
\rS SKr\" \S5      r\R
                  S:  a6  \R$                  R&                  r\R$                  R*                  S	:X  a  S
rOSrOSrSrS\ R.                  ;  a)    S SKr\R4                  " 5       S:  a  Sr\R6                  r	S\ R.                  ;  a  S\ R.                  ;   d  S\ R.                  ;   a-   S SKrS SKJs  Js  J r!  \RD                  r\!rSr\RF                  r	S\ R.                  ;   a  Sr$OSr$\%" \	" S 5      5      r&\	" S 5      r'\	" S5      r(\	" S5      r)\	" S5      r*\	" S5      r+ \S:X  a  \\4r,g\\\&4r,g! \ a     S SKr N! \ a    \ef = ff = f!    N= f!    N= f! \- a    \S:X  a  \4r, g\\&4r, gf = f)    N   FTpythonc                     Uc3  [         R                  " S5      nUR                  nUc  UR                  nAOUc  Un[	        S5        g)zExecute code in a namespace.N   zexec _code_ in _globs_, _locs_)sys	_getframe	f_globalsf_localsexec)_code__globs__locs_frames       L/var/www/auris/envauris/lib/python3.13/site-packages/mpmath/libmp/backend.pyexec_r   %   sB    ?MM!$EooG~^F12    r   )r             =   MPMATH_NOGMPYz1.03gmpyMPMATH_NOSAGE	SAGE_ROOTMPMATH_SAGEsageMPMATH_STRICTr   r      )NN).osr   r   r   
sage_utilsversion_infopython3BACKENDlongMPZxrange
basestringr   intrangestrbuiltinsgetattr	hash_infomodulusHASH_MODULUSwidth	HASH_BITSenvirongmpy2ImportErrorversionmpzsage.allsage.libs.mpmath.utilslibsmpmathutils_sage_utilsallIntegerSTRICTtypeMPZ_TYPEMPZ_ZEROMPZ_ONEMPZ_TWO	MPZ_THREEMPZ_FIVE	int_types	NameError r   r   <module>rJ      s   	 
& 
AGG

CFJ
3 CFJHf%E v==((L
}}b 		LI"**$	"  <<>V#G((C 2::%+*C#44xx 
ll bjj FFA<q6
a&
a&F	q6	$($K	$)	O  	"" "!!"	"&  $(F	(O		$s`   +F /#F) ,F0 ;
F7 F7 F&FF) 	F""F&&F) )F-0F47GGG