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2.6.27  Jacobi symbol : jacobi_symbol

If n is not prime, the Jacobi symbol of a, denoted as (a/n), is defined from the Legendre symbol and from the decomposition of n into prime factors. Let

n=p1α 1..pkα k 

where pj is prime and α j is an integer for j=1..k. The Jacobi symbol of a is defined by :




a
n



=


a
p1



α 1



 
...


a
pk



α k



 
 

jacobi_symbol takes two arguments a and n, and it returns the Jacobi symbol (a/n).
Input :

jacobi_symbol(25,12)

Output :

1

Input :

jacobi_symbol(35,12)

Output :

-1

Input :

jacobi_symbol(33,12)

Output :

0

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