
    \h                     "    S SK Jr  S SKJr  S rg)    )	WeylGroup)Matrixc            	         [        S5      n U R                  S5      [        / SQ/ SQ/ SQ/ SQ/5      :X  d   eU R                  5       / SQ:X  d   eU R	                  5       S:X  d   eU R                  5       S	:X  d   eU R                  5       S
:X  d   eU R                  S5      S:X  d   eU R                  S5      S:X  d   e[        S5      nUR	                  5       S:X  d   eUR                  S5      S:X  d   eUR                  S5      [        / SQ/ SQ/ SQ/ SQ/ SQ/5      :X  d   eUR                  S5      S:X  d   e[        S5      nUR                  S5      S:X  d   eUR                  S5      [        / SQ/ SQ/ SQ/ SQ/ SQ/5      :X  d   e[        S5      nUR                  S 5      S:X  d   eUR                  S!5      S":X  d   eUR                  S 5      [        / S#Q/ S$Q/ S%Q/5      :X  d   e[        S&5      nUR                  S5      [        / SQ/ SQ/ S'Q/ SQ/5      :X  d   eUR                  S5      S:X  d   e[        S(5      nUR	                  5       S):X  d   eg )*NA3zr1*r2)r   r      r   )r   r   r   r   )r   r   r   r   )r   r   r   r   )r1r2r3g      8@z-S4: the symmetric group acting on 4 elements.z0---0---0
1   2   3zr1*r2*r3   zr1*r3*r2*r3   B5i   zr1*r2*r4*r5   zr2*r3)r   r   r   r   r   )r   r   r   r   r   )r   r   r   r   r   )r   r   r   r   r   )r   r   r   r   r   zr1*r2*r1*r3*r5   D5zr2*r3*r5)r   r   r   r   )r   r   r   r   r   G2zr1*r2*r1*r2zr2*r1*r1*r2r   )r   r   r   )r   r   r   )r   r   r   F4)r   r   r   r   E6i  )r   matrix_formr   
generatorsgroup_order
group_namecoxeter_diagramelement_order)cdefghs         _/var/www/auris/envauris/lib/python3.13/site-packages/sympy/liealgebras/tests/test_weyl_group.pytest_weyl_groupr"      sZ   $A==!V\<l-$ &% % % %<<>////==?d"""<<>LLLL"8888??:&!+++??=)Q...$A==?d"""??=)R///==!fo/.; '< < < <??+,111$A??:&!+++==$AQ*:0< )= = = =$A??=)Q...??=)Q...=='69i2S+TTTT$A==!V\<|-% && & & & ??7#q((($A==?e###    N)sympy.liealgebras.weyl_groupr   sympy.matricesr   r"    r#   r!   <module>r'      s    2 !$r#   