Having said all that, Magma uses the GCDHEU algorithm and a modular
algorithm. Note that m in the above is the size in bits of the
coefficients of the resultant, which you don't know an a priori bound
for. You can figure out a bound however, but as in both algorithms,
you need to know the roots of the polynomials you are taking the GCD
of before you can get that.

Bill.



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