import itertools


class PolyIntField:

    def __init__(self, int_modulo, poly_modulo):
        self.int_modulo = int_modulo
        self.poly_modulo = poly_modulo
        self.elements = list(itertools.product([x for x in range(0, int_modulo)]
                                               , repeat=len(poly_modulo) - 1))

if __name__ == "__main__":
    a = PolyIntField(3, [1, 1, 2, 2])
    print(a.elements)
    print(len(a.elements))