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Oct 13, 2013 at 3:09 history edited Robert Israel CC BY-SA 3.0
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Oct 11, 2013 at 14:54 comment added sasquires It's occurs to me that you can construct a scary-looking polynomial in all eight variables just using simple ingredients like $\det(A)$ or $\det(B-I)$ or something, and we could be seeing a complicated result that has a simple origin. But that still doesn't bring us any closer to a solution.
Oct 10, 2013 at 19:45 comment added sasquires Thanks! I didn't know about Gröbner bases. Somehow this seems like it can't possibly be that complicated, but maybe it is.
Oct 10, 2013 at 7:47 history answered Robert Israel CC BY-SA 3.0