Two comments, without a great deal of thought or justification.

>                  if self[i,j] != self[j,i]: return False

This could be getting compiled to a default Python object indexing,
which is slow like molasses.  You might want to check the generated C
code and change it to use faster indexing if necessary.

> Doit1 is a loop that calls ".is_symmetric()", for the given count.

This might be compiled to a default Python call, which has a name
lookup that is again very slow.  You might want to write a test loop
in Pyrex that you know has optimized C calls.

Nick

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