[sage-support] Re: Multivariate polynomial coefficients including zeros

Hi Anastasia, On 2017-03-15, Anastasia Theodouli wrote: > I would like to get in a list *ONLY* the coefficients of the following > monomials of P (including zero coefficients in correct order) > > (x0^2, x0*x1, x1^2, x0*x2, x1*x2, x2^2, x0, x1, x2, 1) If you only

[sage-support] Re: Multivariate polynomial coefficients including zeros

As I posted at http://stackoverflow.com/questions/42812634/multivariate-polynomial-coefficients-including-zeros, you could use lcm(f.monomials()) to get the least common multiple of the monomials in f, and then plug that into P.monomial_all_divisors(lcm(...)) to get all monomials which

[sage-support] Re: Multivariate polynomial coefficients including zeros

I also tried the following P1 = PolynomialRing(ZZ,'x',3) f=x0^2+2*x0*x1+x1^2+2*x0*x2+x1*x2+2*x2^2+x0+2*x1+x2+2 coeffs=[] for mon in f.monomials(): coeffs.append(f.monomial_coefficient(mon)) coeffs it returns the correct list, i.e. [1, 2, 1, 2, 1, 2, 1, 2, 1, 2] but if I omit a

[sage-support] Re: Multivariate polynomial coefficients including zeros

Thank you very much Vincent! The code below is very close to what I want to achieve. There is a detail I haven't mentioned before. If I have n=3, which means that P is P: Multivariate Polynomial Ring in x0, x1, x2 over Integer Ring I would like to get in a list *ONLY* the coefficients of

Re: [sage-support] Multivariate polynomial coefficients including zeros

Hello, I think the following code is basically what you want n = 5 P = PolynomialRing(ZZ, 'x', n) p = P.random_element(degree=3) from itertools import product coeffs = [] for i in product(range(3), repeat=n): coeffs.append(p.coefficient(dict(zip(P.gens(), i print(coeffs) Vincent On

[sage-support] Multivariate polynomial coefficients including zeros

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. = PolynomialRing(ZZ, 2, order='lex') f=3*x^2*y^2+x*y+3 Then using

[sage-support] Re: Using Galois fields for less than 2^16, crashes and restarts Kernel

> > OMG , sorry , that's my bad > I used this Jupyter as if it was the interactive shell of sage, I realised now there's a terminal hiding somewhere there. I am actually much more comfortable with the terminal. Anyway, it was good to point that Galois fields less than 2^16 doesn't work