I am having performance problems when using SAGE matrices with
Cyclotomic Fields. Processing in GAP appears almost instant, whereas
the similar computation takes of the order of a minute in SAGE. Am I
missing something?
Sage:
F.<s>=CyclotomicField(29)
m=[]
n=20
for i in range(n):
row=[]
for j in range(n):
row.append(s**(i*j))
m.append(row)
mat=matrix(m)
print mat.det()
GAP:
n:=20;
m:=List([1..n],i->List([1..n],j->E(29)^(i*j)));
Print(Determinant(m),"\n");
I am new to Sage and still find negotiating the documentation tricky.
Where, for example, might I find a list of methods corresponding to
class matrix?
Graham
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