In characteristic zero there is a dedicated CyclotomicField. Presumably
this is the most efficient implementation.
On Sunday, April 15, 2012 9:53:41 AM UTC-4, Andrew Mathas wrote:
Hi,
I was wondering if some one can tell me the most efficient way of doing
calculations with roots of
As Volker said, over Q specifically the right thing to do is use
CyclotomicField():
sage: K.z = CyclotomicField(5)
sage: z^5
1
sage: CC(z)
0.309016994374947 + 0.951056516295154*I
sage: CC(z) == CC(exp(2*pi*i/5))
True
Note that the latter is True because Sage constructs Cyclotomic fields with
a
OK, I WILL try strive to do my best...
BTW By Maxima list is meant Maxima Google support group or something else?
On Tuesday, April 10, 2012 5:03:13 PM UTC+2, kcrisman wrote:
On Saturday, April 7, 2012 1:49:22 PM UTC-4, Duc Trung Ha wrote:
Hola,
I was wondering
Thank You Robert. That really helped out!
Although, I'm not sure what (x/y) * y^10 means in : sage:
S.random_element(x=-9,y=0, degree=10)(x/y) * y^10
On Friday, April 13, 2012 10:15:48 PM UTC-4, Robert Bradshaw wrote:
Doing
sage: ZZ.random_element?
tells you that ZZ takes x and y
Thanks for the replies!
Over other fields it's no good just extending by a root of the n'th
cyclotomic polynomial, since that need not be irreducible! The example you
gave was particularly unfortunate since over GF(5) the 5th cyclotomic poly
has only 1 root with multiplicity 4. So it's
