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### pre-reduction multiplication result in binary field

The following will do multiplication in a finite field:

X = Integer(0x009D73616F35F4AB1407D73562C10F);
Y = Integer(0x00A52830277958EE84D1315ED31886);

F.<x> = GF(2)[];
p = x^113 + x^9 + 1;
BF = GF(2^113, 'x', modulus=p);

X_bf = BF._cache.fetch_int(X);
Y_bf = BF._cache.fetch_int(Y);

temp = Y * X; temp


The problem with this is that the result you get back has had the reduction step already ran. I'd like to see the multiplication result pre-reduction.

Any ideas?