
    g                     0    d dl mZ d dlmZ d dlmZ d ZdS )    )
RootSystem)TypeA)Matrixc                  f   t          d          } | j        t          d          k    sJ |                                 g dg dg ddk    sJ |                                 dk    sJ |                                 t          g dg d	g d
g          k    sJ |                                 dk    sJ |                     dd          g dk    sJ | 	                                g dg dg dg dg dg dg dg dg dg dg dg ddk    sJ | 
                    g dg d          g dk    sJ d S )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    d/var/www/html/ai-engine/env/lib/python3.11/site-packages/sympy/liealgebras/tests/test_root_system.pytest_root_systemr      s   4A=E!HH$$$$>>MMMmmm V VVVVV<<>>=====??lllLLL'Q R RRRRR!77777a##}}}4444;;==---}}===}}===}}---===	2 2 2 2 2 2
 >>---77===HHHHHH    N)sympy.liealgebras.root_systemr   sympy.liealgebras.type_ar   sympy.matricesr   r    r    r   <module>r%      sY    4 4 4 4 4 4 * * * * * * ! ! ! ! ! !I I I I Ir    