
    \h
                     V   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SS9u  rr\\\-  \-   S-  -  r\R"                  " \\/5      R%                  SS5      r\R'                  5       r\R"                  " \ V s/ s H  o R'                  5       PM     sn 5      R%                  \R(                  S    \R(                  S   5      r\R*                  " \\5      r\R"                  " \ V s/ s H  n \R+                  U \5      PM     sn 5      R%                  \R(                  S    \R(                  S   5      r\R"                  " S //5      r\\-  \\-  -   \S '   \R/                  \R(                  S    \R"                  " S //5      5      rS\-  \-  S\-  \-  -
  \\R(                  S    S-
  '   \" \R2                  " \\\5      5        \R2                  " \\\5      \   r\\-   S-  S\S-  -  -   r\R7                  \5        \R                  " S	SS9u  rrr\R"                  " \\\S /5      R%                  SS5      r\R"                  " \ V s/ s H  o R;                  \S\S\S05      PM     sn 5      R%                  \R(                  S    \R(                  S   5      r\R"                  " \R?                  5       RA                  5        V s/ s H  o RC                  5       PM     sn 5      r"\R"                  " \RG                  5        V s/ s H  o S   S    RC                  5       PM     sn 5      R%                  \R(                  S    \R(                  S   5      r$\RJ                  " S
5      r&\RJ                  " S5      r'\'RQ                  \&S\\&R                  /5        \'RQ                  \&S\RR                  S-  \&R                  /5        \R                  " SSS9u  r*r+r,\*\'R                  -  \+\'R                  -  -   \,\'RZ                  -  -   r.\R^                  " S5      r0\R^                  " S5      r1\0Re                  \1\*\'R                  -  5        \.Rg                  \&5      r.\0Re                  \1\0Ri                  \15      Rg                  \&5      5        \'Rk                  \&\,\'RZ                  -  5        \" \&Rm                  \'5      5        \1Ro                  \0\&\'5        \Rp                  " S\R^                  " S5      \Rr                  " S5      5      r:\Rp                  " S\R^                  " S5      \Rr                  " S5      5      r;\;Rx                  Ro                  \:Rx                  \&\'5        \1R{                  \:Rx                  \&\'5        \R^                  " S5      r>\>R                  \&S 5        \RJ                  " S5      r@\R                  " S\>\@\R                  " S5      \R                  " \@R                  \@R                  5      \>45      rC\R^                  " S5      rD\DR                  \&S 5        \RJ                  " S5      rE\R                  " S\D\E\R                  " S5      \R                  " \ER                  \ER                  5      \D45      rF\R                  " SSS9rG\:R                  \G\&R                  -  -  rI\;R                  \G\&R                  -  -  rJ\CR                  \G\&R                  -  -  rK\FR                  \G\&R                  -  -  rL\R                  " S5      r-\\'R                  -  \\'RZ                  -  -   r.\0Re                  \1\\'R                  -  \\'R                  -  -   5        \.R;                  \S\--  \\-05      r.\0Re                  \1\0Ri                  \15      R;                  \S\--  \\-05      5        S\\-  \'R                  -  -  rM\:R                  \G\&R                  -  -  \\-  \'R                  -  -   rIgs  sn f s  sn f s  sn f s  sn f s  sn f )    Nzx yza bT)real         za b cnaAxiszc1 c2 c3opp1p1_ptmp2p2_ptb1_cmb1_fb1b2_cmb2_fb2gz)Nsympy.physics.mechanicsphysics	mechanics_mesympy_smmathr   numpy_npdynamicsymbolsxysymbolsr   beMatrixreshapeexpandshapefactoreqn
row_insertprintsolverhs_ycollectcsubsm2	eigenvalskeysevalfeigvalue
eigenvectseigvecReferenceFrameframe_nframe_aorientpic1c2c3r   vPointpoint_opoint_pset_posexpresspos_fromset_ang_vel
ang_vel_inv2pt_theoryParticleSymbolparticle_p1particle_p2pointa2pt_theory
body_b1_cmset_vel	body_b1_f	RigidBodyouterbody_b1
body_b2_cm	body_b2_fbody_b2r   massforce_p1force_p2force_b1force_b2force_o)is   0f/var/www/auris/envauris/lib/python3.13/site-packages/sympy/parsing/autolev/test-examples/ruletest10.py<module>rf      s   % %   
% 1
{{5t$1qs1uqjLJJ!ua#HHJJJA&Aq
A&'//		!qiilKJJq!JJ+A

1Q+,44aYYq\A99Q<P	jj1#	
1QqSA	nnSYYq\3::se#45c!eAaCEkCIIaLN  ciiAa 		#a1qS1HQq!tVO 		!
++gD
)1aJJ!Aay!!!Q'ZZ211Qq1&23;;QIIaL1))TU,W::2..*:*?*?*AB*AQwwy*ABC	roo.?@.?qT!W]]_.?@	A	I	I"((ST+WYW_W_`aWb	c


S
!


S
! wGII / w799 5 6[[$/
BwyyLGIIbl*
))C.
))C. GII &KK '**73<<WE F   GR		\ * g! "   GGG ,ll47!3SZZ_Ell47!3SZZ_E     k// @   K%%gg 6YYw
 
  7A v&	
--j)S[[5E		R[R]R]^g^i^iHjkuGv
wYYw
 
  7A v&	
--j)S[[5E		R[R]R]^g^i^iHjkuGv
wKK$Qwyy[)Qwyy[)<<799%<<799%sgiiK')) 799Qwyy[0 1HHa!Qq\ '**73991QqS!A,G H
ac'))m
Qwyy[)1Q3wyy=8k '+ 3B@s   `>`  ``!`&