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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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