simple script gives "ValueError: element is not in the prime field"
 
  
 
  
 
 
 
 
 
 
    
        
        asked 5 years ago  
 
 bashaad gravatar image  
 
 
 
 
    
        
        updated 2 years ago  
 
 FrédéricC gravatar image  
 
 
 
 
 
I have a very simple script that does not work. It is the following.
 
for a in range(1,r):
    for b in range(1,r):
        g=a+b*x^2+x^4
        if g.is_irreducible():
            K.<a>=FiniteField(r^4, name='a', modulus = g)
            if a^l != 1:
                print("hooray")
 
Here l is defined somewhere else, but that is not what gives the error I think. I think the error occurs when sage goes over the line "K.=FiniteField(r^4, name='a', modulus = g)", because maybe the line "g=a+b*x^2+x^4" does not work? If I do this script manually without the for loops, by just assigning some values to a and b, then it works fine.
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Comments
The error depends on the information you've omitted, such as the definition of r, l, and x. As a general rule, please give an unambiguous self-contained example that produces the error. Probably the problem is that l cannot be lifted to an integer.
rburing gravatar imagerburing (
    
        5 years ago
    )
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