Hello --
I want to do some computations with multivariate polynomials in the group W
of type H4 (14400 elements). I have a summand for every element w \in W,
and a product of 4 polynomials in each summand:
gens = []
for obj in gens_objects:
p = 0
for w in W:
mon_w = F[obj][w][0] * F[obj][w][1] * F[obj][w][2] * F[obj][w][3]
p = p + mon_w
gens.append(p)
return gens
for every obj, this takes about 10sec (doing the same computation in Magma
is about 4 times faster), and almost all the time is spend in all these
multiplications (I also tried prod( F[obj][w] ) and P.prod( F[obj][w] )
where P is a polynomial ring in 8 variables, but both were slower. So my
question is if I can somehow do the complete construction of such a
generator p somehow directly in singular, and then turn it into a Sage
object only before appending it to gens?
Thanks for your help! Christian
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