Python rankin_cohen_pair_sym Examples

Example #1

File: misc_test.py Project: stakemori/degree2

 def test_hecke_operator(self):
     es4, es6, _, _, _ = degree2_modular_forms_ring_level1_gens(10)
     self.assertEqual(es4.hecke_operator_acted(2, 5),
                      45 * es4._down_prec(5))
     f10 = rankin_cohen_pair_sym(2, es4, es6)
     self.assertEqual(f10.hecke_operator_acted(2, 5),
                      -6168 * f10._down_prec(5))

Example #2

File: test_divide.py Project: stakemori/degree2

 def test_divide_vector_valued(self):
     prec = 6
     x10 = x10_with_prec(prec + 1)
     es4 = eisenstein_series_degree2(4, prec + 1)
     es6 = eisenstein_series_degree2(6, prec + 1)
     f = rankin_cohen_pair_sym(2, es4, es6)
     g = f * x10
     self.assertEqual(f._down_prec(prec),
                      g.divide(x10, prec, parallel=True))

Example #3

File: const.py Project: stakemori/degree2

def rankin_cohen_quadruple_det_sym_1(j, f1, f2, f3, f4):
    """
    Returns a modular form of wt sym(j) det^(sum + 1).
    """
    F = rankin_cohen_pair_sym(j, f1, f2) * f3
    return vector_valued_rankin_cohen(f4, F)