2015-03-11 01:06:07 +0200 | received badge | ● Scholar (source) |
2015-03-06 22:00:57 +0200 | commented question | Ideal moduli and residue symbols Okay, after reading a bit more I can clarify. The ambient space is the ring of integers of Q(zeta_m) - mth root of unity. So these ideals are in the ring. |
2015-03-06 10:03:11 +0200 | received badge | ● Student (source) |
2015-03-06 02:37:25 +0200 | asked a question | Ideal moduli and residue symbols Hi, everyone; I'm fairly new to sage, but I feel like I have some heavy lifting to do. I'm attempting to do a couple of things: 1) I need to see if two complex numbers are equivalent mod an ideal, eg pi == 1 mod 2+2i. It might be a dumb question but my searching thus far has come up short 2) I need to compute residue symbols, and I'm using the Number Field residue symbol method, but I'm having trouble. I have the following: C = ComplexField() I = C.0 r = C.ideal(b).residue_symbol(D,4) with a and b complex numbers. Help! |