
    \h                     x   S SK Js  Jr  S SKrS SKrS SKr	\R                  " S5      u  rr\R                  " S5      u  rrr\\-   r\R#                  \\S-  \S-  -   \\\-
  05      r\R&                  " \5      r\R&                  " \\-  5      r\R-                  \S S5      R/                  5       r\R-                  \S S5      R/                  5       R-                  \S S5      R/                  5       r\\-   S-  R3                  5       r\R#                  \\S-  \S-  -   \\\-
  05      R#                  \S\\05      r\R4                  " \R4                  " \S\-  /5      R7                  SS5       V s/ s H  o R#                  \S\\05      PM     sn 5      R7                  \R4                  " \S\-  /5      R7                  SS5      R8                  S    \R4                  " \S\-  /5      R7                  SS5      R8                  S   5      r\\-   r\R#                  \\S-  \S-  -   \\\-
  05      R#                  \S\\S-  05      r\R<                  " SSS9u  rr r!\RD                  " \R4                  " \\ \!/5      R7                  SS	5      \5      r#\RD                  " \\-  \ -   \5      r$\RJ                  " \#\5       V s/ s H  o RM                  5       PM     sn r'\RJ                  " \RD                  " \R4                  " / S
Q5      R7                  S	S5      \5      \5       V s/ s H  o RM                  5       PM     sn r(\R4                  " / SQ5      R7                  SS5      r\RR                  \-   r*\R4                  " \RV                  " 5       RY                  5        V s/ s H  o RM                  5       PM     sn 5      r\RZ                  " SSSS5      r.\R4                  " \/" S	5       V Vs/ s H  n \/" S5        H  oU:X  a  SOS PM     M     snn 5      R7                  S	S5      r0\\.-   S-  r1\\.-   Re                  5       \R4                  " / SQ5      R7                  SS5      Rg                  5       -   r\S   r4\Rj                  r\Rl                  " S 5      r\R4                  " \RR                  Ro                  S 5      \RR                  Ro                  S5      \RR                  Ro                  S5      \RR                  Ro                  S	5      \RR                  Ro                  S5      /5      r8\Rn                  " S 5      r1\R4                  " \Rn                  " S 5      \Rn                  " S5      \Rn                  " S5      \Rn                  " S	5      \Rn                  " S5      /5      r9gs  sn f s  sn f s  sn f s  sn f s  snn f )    Nzq1 q2zx y z      zj k lT)real   )r   r   r   )r   r   r                  	   
                     r   )r   r   r   r   )r   r   ):sympy.physics.mechanicsphysics	mechanics_mesympy_smmathmnumpy_npdynamicsymbolsq1q2xyzesubsacose2e3seriesremoveObexpandMatrixreshapeshapebmsymbolsjklPolyp1p2solveevalfroot1root2Tam	eigenvalskeysdiagc1rangec2dmdettracefcolscolrowcmem)ir4   s   00e/var/www/auris/envauris/lib/python3.13/site-packages/sympy/parsing/autolev/test-examples/ruletest6.py<module>rQ      s!   % %   			G	$B


W
%1arEHHbAadBqs#$WWQZWWQqS\KK1a  "KK1a  "))!Q2::<cAXHHbAad2ac"#((!Aa3ZZCJJ!A#w,?,G,G1,MN,Mq1Qq	",MNOWWY\YcYcefghijgjdkYlYtYtuvxyYz  YB  YB  CD  YE  HK  HR  HR  TU  VW  XY  VY  SZ  H[  Hc  Hc  de  gh  Hi  Gp  Gp  qr  Gs  trEHHbAad2ac"#((!Aa16
++gD
)1aXXcjj!Aa!))!Q/3XXac!eQIIb!,-,q,-IIchhszz'/B/J/J1a/PRS&TUVWXWqWXJJ78@@AFUU1WZZQMMO$8$8$:;$:q$:;<XXa!AZZ58F8aU1Xd!X!8FGOOPQSTUdb\rTJJL#**Y'//15<<>>HHHWWQZZZ!1qeeiilA5599Q<		!aUUYYq\RSWWQZZZ!QGGAJwwqz1''!*aWWQZHI) O 	.X <Fs   .V"<V' V,V1(#V6
