I am not sure how to include "rep".
Its a list generated by a set of operations somewhere else.
I am generating "Edge" by extracting the edges of the graph K_{n,n}
On Wednesday, May 13, 2015 at 8:28:57 PM UTC-5, David Joyner wrote:
>
> On Wed, May 13, 2015 at 9:13 PM, Phoenix <[email protected]
> <javascript:>> 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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