Comment #4 on issue 2357 by asmeurer: bugs in PythonRationalType http://code.google.com/p/sympy/issues/detail?id=2357
We do have Galios fields, but they are only internal in the polys. See for example sympy/polys/domains/finitefield.py.
For the matrices, hopefully that sort of thing will happen this summer with Sherjil's GSoC project.
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