
    \h                     .    S SK Jr  S SKJr  S SKJr  S rg)    )
RootSystem)TypeA)Matrixc                     [        S5      n U R                  [        S5      :X  d   eU R                  5       / SQ/ SQ/ SQS.:X  d   eU R	                  5       S:X  d   eU R                  5       [        / SQ/ S	Q/ S
Q/5      :X  d   eU R                  5       S:X  d   eU R                  SS5      / SQ:X  d   eU R                  5       / SQ/ SQ/ SQ/ SQ/ SQ/ SQ/ SQ/ SQ/ SQ/ SQ/ SQ/ SQS.:X  d   eU R                  / SQ/ SQ5      / SQ:X  d   eg )NA3   )   r   r   )r   r	   r
   r   )r   r   r	   r
   )r	      r   zalpha[1] + alpha[2] + alpha[3])r   r
   r   )r
   r   r
   )r   r
   r   z0---0---0
1   2   3r	   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   cartan_typer   simple_roots
root_spacecartan_matrixr   dynkin_diagramadd_simple_roots	all_rootsadd_as_roots)cs    `/var/www/auris/envauris/lib/python3.13/site-packages/sympy/liealgebras/tests/test_root_system.pytest_root_systemr      s    4A==E!H$$$>>Mm VVVV<<>====??lL'Q RRRR!7777a#}444;;=-==-=	2 2 2 2
 >>-7=HHH    N)sympy.liealgebras.root_systemr   sympy.liealgebras.type_ar   sympy.matricesr   r    r    r   <module>r%      s    4 * !Ir    