Formats: - HTML - YAML - JSON - 2026-01-19T09:21:37.000452
Query: /api/mf_newforms/?_offset=0
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{'Nk2': 39204, 'analytic_conductor': 78.26137902105691, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [11, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9801, 1, [9560, 244], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 18, 'field_disc': 332205999626763429457249072265625, 'field_disc_factorization': [[3, 8], [5, 11], [11, 2], [8570023558135432181, 1]], 'field_poly': [-55, -155, 576, 1303, -2173, -3886, 4035, 5363, -4219, -3897, 2594, 1579, -944, -357, 198, 42, -22, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-55, -155, 576, 1303, -2173, -3886, 4035, 5363, -4219, -3897, 2594, 1579, -944, -357, 198, 42, -22, -2, 1]], [5, [1, 172, -2141, -8150, 25393, 77742, -24790, -169092, -85773, 55432, 45073, -6247, -9148, 122, 932, 21, -48, -1, 1]], [7, [-88209, 76950, 1297764, 30285, -3019410, -818433, 2318014, 648819, -898091, -197401, 197754, 28293, -24956, -2055, 1774, 73, -66, -1, 1]], [17, [-1111869, 10896930, -26842530, -21769671, 171089642, -267306338, 186106283, -44274682, -18025195, 13520127, -1810392, -754977, 258972, -2805, -9169, 1099, 69, -20, 1]]], 'hecke_orbit': 68, 'hecke_orbit_code': 301741175067387465, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 278924, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9801.2.a.cp', 'level': 9801, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 11], 'level_radical': 33, 'minimal_twist': '99.2.m.b', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+\\beta _{11}q^{5}+(-\\beta _{4}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 18, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9801.2.a', 'trace_display': [2, 0, 1, 1], 'trace_hash': 479677520568079601, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.146', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.254', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.467', 'prec': 17}, {'__RealLiteral__': 0, 'data': '603.649', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '40530.153', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [18, 2, 0, 12, 1, 0, 1, 6, 0, -2, 0, 0, 3, 0, 0, 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