o
    GZŽhŸ  ã                   @   s0   d dl mZ d dlmZ d dlmZ dd„ ZdS )é    )Ú
RootSystem)ÚTypeA)ÚMatrixc                  C   s  t dƒ} | jtdƒksJ ‚|  ¡ g d¢g d¢g d¢dœksJ ‚|  ¡ dks'J ‚|  ¡ tg d¢g d	¢g d
¢gƒks:J ‚|  ¡ dksBJ ‚|  dd¡g d¢ksNJ ‚|  	¡ 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œks{J ‚|  
g d¢g d¢¡g d¢ks‹J ‚d S )NZA3é   )é   éÿÿÿÿr   r   )r   r   r   r   )r   r   r   r   )r   é   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   é   é   é   é   é   é	   é
   é   é   )r   Zcartan_typer   Zsimple_rootsZ
root_spaceZcartan_matrixr   Zdynkin_diagramZadd_simple_rootsZ	all_rootsZadd_as_roots)Úc© r   úW/var/www/auris/lib/python3.10/site-packages/sympy/liealgebras/tests/test_root_system.pyÚtest_root_system   s   $&ü$r   N)Zsympy.liealgebras.root_systemr   Zsympy.liealgebras.type_ar   Zsympy.matricesr   r   r   r   r   r   Ú<module>   s    