[was@modular papers]$ [was@modular papers]$ Magma V2.8-10     Thu Apr 11 2002 02:35:01 on modular  [Seed = 2820782682]
Type ? for help.  Type <Ctrl>-D to quit.

Loading startup file "/home/was/magma/local/emacs.m"

Loading "/home/was/magma/local/init.m"
> Attach("compute_cokerq.m");
> ComputeM2(23);

>> ComputeM2(23);
            ^
Runtime error in 'ComputeM2': 2 must exactly divide argument 1.
>  ComputeM2(23*2);
Computing modular symbols of level 46
Time: 0.100

ComputeM2(
N: 46
)
RandomElementOf(
S: Modular symbols space of level 46, weight 2, and dimension 5
)
In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 41, column 28:
>>    return &+[Random(-2,2)*B.Random(1,d) : i in [1..3]];
                              ^
Runtime error in '.': Bad argument types
Argument types given: SeqEnum[ModSymElt], RngIntElt
> ComputeM2(23*2);
Computing modular symbols of level 46
Time: 0.050

ComputeM2(
N: 46
)
RandomElementOf(
S: Modular symbols space of level 46, weight 2, and dimension 5
)
In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 41, column 11:
>>    return &+[Random(-2,2)*S.Random(1,d) : i in [1..3]];
             ^
Runtime error in '&+': Universe has no addition algorithm
> ComputeM2(23*2);
Computing modular symbols of level 46
Time: 0.040
Compute W2
Time: 0.040
Compute image under W2

ComputeM2(
N: 46
)
In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 61, column 30:
>>    time W2T := MakeLattice([b*W2 : b in Basis(T)]);
                                ^
Runtime error in '*': Arguments 1 and 2 have incompatible coefficient rings
> ComputeM2(23*2);
Computing modular symbols of level 46
Time: 0.050
Compute W2
Time: 0.030
Compute image under W2
[
( 0  0  0  1 -1  0  0  0),
( 0  0  1  0  0  0 -1 -1),
( 0  0  1 -1  0 -1  1  1),
( 0  2  0  0  0 -2  0  0),
( 0  1  1 -1 -2  1  0  0)
]
[-1  1 -1  2  0]
[ 0  0 -1  2 -1]
[ 0 -1  0  2 -1]
[ 0  0  0  1  0]
[ 0  0  0  0  1]

ComputeM2(
N: 46
)
In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 63, column 30:
>>    time W2T := MakeLattice([b*W2 : b in Basis(T)]);
                                ^
Runtime error in '*': Arguments 1 and 2 have incompatible coefficient rings
> ComputeM2(23*2);
Computing modular symbols of level 46
Time: 0.030
Compute W2
Time: 0.030
Compute image under W2
[
( 0  0  1  0 -1  0  0  0),
( 0  0  1 -2  1  0  0  0),
( 0  2  0  0  0 -2  0  0),
( 0  2  0  0  0  0 -2 -2),
( 0  2 -1 -2 -1  2  0  0)
]
[ 0  0  0  0  0  0  0 -1]
[ 0 -1  1 -1  0  0  0  0]
[ 0  0  0 -1  0 -1  1  1]
[ 0  0 -1  0  0 -1  1  1]
[ 0  0  0  0 -1  0  0  0]
[ 0  0  0  0 -2  1  0  0]
[ 1  0  0  0 -2  0  1  1]
[-1  0  0  0  0  0  0  0]

ComputeM2(
N: 46
)
In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 63, column 30:
>>    time W2T := MakeLattice([b*W2 : b in Basis(T)]);
                                ^
Runtime error in '*': Arguments 1 and 2 have incompatible coefficient rings
> A := ComputeM2(23*2);
Computing modular symbols of level 46
Time: 0.040
Time: 0.000
Compute W2
Time: 0.040
Compute image under W2
Time: 0.000
Abelian Group isomorphic to Z/10
Defined on 1 generator
Relations:
10*$.1 = 0
Mapping from: Lattice of rank 5 and degree 8 to Abelian Group isomorphic to Z/10
Defined on 1 generator
Relations:
10*$.1 = 0
> A := ComputeM2(23*2);
Computing modular symbols of level 46
Time: 0.040
Time: 0.000
Compute W2
Time: 0.030
Compute image under W2
Time: 0.000
> A;
Abelian Group isomorphic to Z/4 + Z/8
Defined on 2 generators
Relations:
4*A.1 = 0
8*A.2 = 0
> A := ComputeM2(37*2);
Computing modular symbols of level 74
Time: 0.060
Time: 0.010
Compute W2
Time: 0.050
Compute image under W2
Time: 0.000
> A;
Abelian Group isomorphic to Z/2 + Z/6
Defined on 2 generators
Relations:
2*A.1 = 0
6*A.2 = 0
> A := ComputeM2(431*2);
Computing modular symbols of level 862
Time: 0.890
Time: 0.130
Compute W2
Time: 0.430
Compute image under W2
Time: 0.960
> A;
Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/190 + Z/351095517506063025827121466868134429313328702694618323469139815519934160
Defined on 11 generators
Relations:
2*A.1 = 0
2*A.2 = 0
2*A.3 = 0
2*A.4 = 0
2*A.5 = 0
2*A.6 = 0
2*A.7 = 0
2*A.8 = 0
2*A.9 = 0
190*A.10 = 0
351095517506063025827121466868134429313328702694618323469139815519934160*A.11 = 0
>