On Wed, May 13, 2015 at 9:54 PM, Phoenix <[email protected]> wrote:
>
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> For the q=2 , n =2 (the smallest test case) we have,
>
> Edge = [(0, 2), (0, 3), (1, 2), (1, 3)]
>
> rep =
>
> [
> [1 0 0 0]  [1 0 0 0]  [1 0 0 0]  [1 0 0 0]  [1 0 0 0]  [1 0 0 0]
> [0 0 1 0]  [0 0 1 0]  [0 1 0 0]  [0 1 0 0]  [0 0 0 1]  [0 0 0 1]
> [0 1 0 0]  [0 0 0 1]  [0 0 1 0]  [0 0 0 1]  [0 0 1 0]  [0 1 0 0]
> [0 0 0 1], [0 1 0 0], [0 0 0 1], [0 0 1 0], [0 1 0 0], [0 0 1 0]
> ]
>
>

This cannot be copy+pasted into Sage.
Please type it in so that someone who wants to help you can copy+paste.

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> On Wednesday, May 13, 2015 at 8:51:08 PM UTC-5, David Joyner wrote:
>>
>> On Wed, May 13, 2015 at 9:43 PM, Phoenix <[email protected]> wrote:
>> >
>> > I am not sure how to include "rep".
>>
>> Can you type in a short example of what it could be?
>>
>> > 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}
>> >
>>
>> Can you type in a short example of what it could be?
>>
>> >
>> >
>> >
>> > 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]> 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)
>> >> >
>> >> > --
>> >> > You received this message because you are subscribed to the Google
>> >> > Groups
>> >> > "sage-support" group.
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>> >> > send
>> >> > an
>> >> > email to [email protected].
>> >> > To post to this group, send email to [email protected].
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>> >> > For more options, visit https://groups.google.com/d/optout.
>> >
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