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A.3.2 Finite fields
We define a variety in the
-space of codimension 2 defined by
polynomials of degree
with generic coefficients over the prime
field
and look for zeros on the torus. First over the prime
field and then in the finite extension field with
elements.
In general there will be many more solutions in the second case.
(Since the SINGULAR language is interpreted, the evaluation of many
for -loops is not very fast):
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