Sorry there was a typo : 

"rep" comes in as a ~q^3 size list of q^2 dimensional 0/1 matrices. 

So the matrix M that is produced is of size (2n)(q^2)  








On Wednesday, May 13, 2015 at 7:42:54 PM UTC-5, Phoenix wrote:
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> Okay - this is basically the main time-consuming step. 
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> At this point "rep" comes in as a list of 2 dimensional determinant 1 
> matrices whose entries are integers from the set {0,1,2,...,(q-1)} 
> And "Edge" is a list of integer tuples where each tuple is of the form 
> (a,b) with  0<= a,b <= (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)
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> On Wednesday, May 13, 2015 at 7:29:47 PM UTC-5, William wrote:
>>
>> On Wed, May 13, 2015 at 5:20 PM, Phoenix <[email protected]> wrote: 
>> > 
>> > 
>> > So I have this SAGE code 
>>
>> Post it.   Please make every question you ask here as concrete and 
>> explicit as possible.   At a bare minimum post enough so that the 
>> reader can reproduce exactly your problem with minimal effort. 
>> Thanks, 
>>
>> William 
>>
>> > which takes in two integers p and n and it 
>> > generates ~ (p^3)^(n^2) 0/1 matrices and does a sum of their 
>> characteristic 
>> > polynomials. 
>> > 
>> > I got answers for (p = 3, n = 2), (p =2 , n = 3) and (p=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? 
>> > 
>> > 
>> > -- 
>> > You received this message because you are subscribed to the Google 
>> Groups 
>> > "sage-support" group. 
>> > To unsubscribe from this group and stop receiving emails from it, send 
>> an 
>> > email to [email protected]. 
>> > To post to this group, send email to [email protected]. 
>> > Visit this group at http://groups.google.com/group/sage-support. 
>> > For more options, visit https://groups.google.com/d/optout. 
>>
>>
>>
>> -- 
>> William (http://wstein.org) 
>>
>

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