Dears,
I would like to get the coefficients of a *multivariate* polynomial*
including the zero coefficients (in their correct position*s). I have found
a similar answer as regards a polynomial f of two variables x,y
P.<x,y> = PolynomialRing(ZZ, 2, order='lex')
f=3*x^2*y^2+x*y+3
Then using the following code:
coeffs = []
for i in range(f.degree(x), -1, -1):
for j in range(f.degree(y), -1, -1):
coeffs.append(f.coefficient({x:i, y:j}))
The result is as expected:
[3, ,0 , 0, 1, 0, 0, 0, 0, 3]
*Now, I would like to extend this solution for a multivariate polynomial of
n variables [xo,x1,...xn-1]*
The polynomial is defined with the following code: (Note:
q=next_prime(10000))
A1 = [(', '.join('x%i'%i for i in [0.. n-1]))]; ### construct a suitable
multivariate ring
V = var(A1[0]) ### define a str
variable
x=vector(list(V)) ### convert to vector
P1=PolynomialRing(GF(q),V)
How can I do that? Any help will be much appreciated.
Regards,
Natassa
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