+
    i                         ^ RI Ht ^ RI Ht ^ RIHt ^ RIHtHt ^ RI	H
t
 ]! ]P                  ! ^R
4      R7      R 4       t]! ]P                  ! ^R
4      R7      R 4       tR	# )    )given)
strategies)divisors)divisor_sigmatotient)	is_square)nc                 v   \        V 4      p\        V4      p\        V 4      V^,          ^8H  8X  g   Q hV Uu. uF  p\        V4      NK  	  ppV Uu. uF  p\	        W,          4      NK  	  pp\        WE4       UUu. uF  w  rgWg,          NK  	  pppW,          \        V4      8X  g   Q hR# u upi u upi u uppi )   N)r   lenr   r   r   zipsum)	r	   divtau_nisigmastotientsabmuls	   &        a/var/www/html/photoedit/myenv/lib/python3.14/site-packages/sympy/ntheory/tests/test_hypothesis.pytest_tau_hypothesisr      s    
1+CHEQ<EAIN+++(+,1mAF,),-AH- 2
32TQ1552C
39C    --
3s   B+B0;B5c                     \        V 4      V 8:  g   Q h\        V 4      pV Uu. uF  p\        V4      NK  	  ppV \        V4      8X  g   Q hR # u upi )N)r   r   r   )r	   r   r   r   s   &   r   test_totient_hypothesisr      sJ    1:??
1+C$'(Cq
CH(H )s   ANl    d(	 )
hypothesisr   r   stsympyr   %sympy.functions.combinatorial.numbersr   r   sympy.ntheory.primetestr   integersr   r        r   <module>r#      s\     '  H - Q	 ! !! Q	  !r"   