CoCalc Public Fileswww / 168 / notes / 2005-09-28 / magma-session.txtOpen with one click!
Author: William A. Stein
Compute Environment: Ubuntu 18.04 (Deprecated)
1
[email protected]:~$ magma
2
Magma V2.12-10 Wed Sep 28 2005 16:12:13 on form [S
3
3818619903]
4
Type ? for help. Type <Ctrl>-D to quit.
5
6
Loading startup file "/home/was/magma/local/init.m"
7
8
> M := ModularSymbols(37);
9
> M;
10
Full modular symbols space for Gamma_0(37) of weight 2 ann 5 over Rational Field
11
> HeckeOperator(M,13);
12
[-3 -1 -1 1 0]
13
[-1 -3 -1 0 0]
14
[ 0 0 -2 -1 0]
15
[ 0 0 0 -4 0]
16
[ 0 0 0 6 14]
17
> M := ModularSymbols(37,2,1);
18
> HeckeOperator(M,13);
19
[-2 -1 0]
20
[ 0 -4 0]
21
[ 0 6 14]
22
> Factorisation(CharacteristicPolynomial(HeckeOperator(M,
23
[
24
<x - 14, 1>,
25
<x + 2, 1>,
26
<x + 4, 1>
27
]
28
>
29