On Wed, May 13, 2015 at 9:13 PM, Phoenix <[email protected]> wrote:
>
>
> So I have this SAGE code which takes in two integers q and n and it
> generates ~ (q^3)^(n^2) 0/1 matrices and does a sum of their characteristic
> polynomials.
>
> I got answers for (q = 3, n = 2), (q =2 , n = 3) and (q=2, n=2)
>
> For any higher number the code runs for ~1hr and then it says,
>
> "
>
> Traceback (most recent call last):
>   File "<stdin>", line 1, in <module>
>   File "_sage_input_2.py", line 10, in <module>
>     exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8
> -*-\\n" +
> _support_.preparse_worksheet_cell(base64.b64decode("UA=="),globals())+"\\n");
> execfile(os.path.abspath("___code___.py"))
>   File "", line 1, in <module>
>
>   File "/tmp/tmpPiPIoq/___code___.py", line 2, in <module>
>     exec compile(u'P
>   File "", line 1, in <module>
>
> "
>
>
> Can someone help understand what is going on?
>
> Like any suggestion about how to go about it?
>
>
>
> EDIT:
>
> This is basically the main time-consuming step.
>
> At this point "rep" comes in as a ~q^3 size list of q^2 dimensional 0/1
> permutation matrices.
> And "Edge" is a list of integer tuples where each tuple is of the form (a,b)
> with a,b being from the set {0,1,2,3...,(2n-1)}
>
> P = 0
> from itertools import product
> from itertools import izip
>
> for X in product(rep,repeat = len (Edge)):
>     k = izip(Edge,X)
>     M = [[matrix(q^2, q^2, 0)]*(2*n) for _ in range(2*n)]
>     for ((a,b),Y) in k:
>       M [a][b] = Y
>       M [b][a] = Y.inverse()
>     Z = block_matrix(M)
>     P = P + Z.charpoly(x)
>

Please include rep and Edge, if if it's in a simple case.


> The polynomial P is the final expected answer.
>
> (and for any larger value of q and n than the 3 cases mentioned the program
> basically stops with no output for P and with the above pasted message)
>
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