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mf_newforms • Show schema
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{'Nk2': 2016, 'analytic_conductor': 4.024460261872531, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 56, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 2, 'char_parity': 1, 'char_values': [504, 2, [127, 253, 281, 73], [1, 1, 2, 1]], 'cm_discs': [-168], 'conrey_index': 307, 'dim': 4, 'field_disc': 12544, 'field_disc_factorization': [[2, 8], [7, 2]], 'field_poly': [9, 0, 8, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]], [11, [0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008230080446968, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 168, 5, -1, 2, -168], [1, 1, 3, 2, -1, 2, 0], [1, 1, 7, 2, -1, 2, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 21, 3, 1, 2, 0], [1, 1, 24, 6, 1, 2, 0], [1, 1, 56, 5, 1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '504.2.p.c', 'level': 504, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '504.2.p.c', 'nf_label': '4.0.12544.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{1}q^{2}-2q^{4}-\\beta _{3}q^{7}-2\\beta _{1}q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.1.d2', 'self_twist_discs': [-168], 'self_twist_type': 1, 'space_label': '504.2.p', 'trace_display': [0, 0, 0, 0], 'trace_hash': 980587773824853490, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, -2, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, -1, 0], [0, 0, 0, 0], [4, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [-5, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 2], [0, -4, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 4, 0, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [7, 0, 0, 0], [0, -5, 0, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 8, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 0], [8, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, -2, 0], [0, 0, 0, 0], [-8, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-10, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -10, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [14, 0, 0, 0], [0, -4, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 7, 0, 0], [0, 0, 0, 0], [10, 0, 0, 0]], 'ap': [[0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, -2, 0], [0, 0, 0, 0], [0, 2, 0, 0], [0, -4, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, -2, 0], [2, 0, 0, 0], [0, 0, 0, 0], [0, 8, 0, 0], [0, 0, 4, 0], [0, 0, 0, -2], [-10, 0, 0, 0], [0, -10, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -16, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [-22, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 10], [0, 2, 0, 0], [-10, 0, 0, 0], [0, -4, 0, 0], [0, 0, 0, 10], [26, 0, 0, 0], [0, 0, 0, -2], [0, 0, -8, 0], [0, 0, 0, 10], [0, 0, 0, 0], [0, -10, 0, 0], [0, 0, 0, 0], [0, 0, -8, 0], [0, 0, -2, 0], [0, -22, 0, 0], [0, 0, 0, 0], [0, 0, 0, 10], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -16, 0, 0], [-34, 0, 0, 0], [26, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -14], [0, 0, 10, 0], [0, 26, 0, 0], [0, 0, 0, -14], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [0, 20, 0, 0], [0, 0, 0, -14], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, -22, 0, 0], [0, 0, 0, 0], [0, 0, 0, -14], [0, 0, 0, 0], [0, 0, 0, 0], [-34, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -8, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-22, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [26, 0, 0, 0], [0, 8, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [-46, 0, 0, 0], [0, 0, 0, 0], [0, 0, -8, 0], [0, 0, 10, 0], [0, -34, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -16, 0, 0], [0, 0, 0, 0], [0, 0, 0, 10], [2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 32, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -14], [0, 0, 0, -2], [38, 0, 0, 0], [0, 38, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -14, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -40, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -14], [0, 0, 0, 0], [0, 0, 0, 22], [0, 0, 10, 0], [0, 0, 0, 0], [0, 26, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [-58, 0, 0, 0], [0, 0, 0, 0], [-46, 0, 0, 0], [0, 38, 0, 0], [0, 0, 0, 0], [0, 0, -14, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 16, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 22]], 'char_orbit_index': 16, 'field_poly': [9, 0, 8, 0, 1], 'hecke_orbit_code': 9008230080446968, 'hecke_ring_character_values': [[127, [-1, 0, 0, 0]], [253, [-1, 0, 0, 0]], [281, [1, 0, 0, 0]], [73, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 3, 3, 1], 'hecke_ring_inverse_denominators': [1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -1, 1, 0], [-4, 0, 0, 1], [0, 11, -5, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 5, 0, 1], [0, 11, 0, 1], [4, 0, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '504.2.p.c', 'level': 504, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2016, 'analytic_conductor': 4.024460261872531, 'char_conductor': 56, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 2, 'char_parity': 1, 'char_values': [504, 2, [127, 253, 281, 73], [1, 1, 2, 1]], 'conrey_index': 307, 'cusp_dim': 88, 'dim': 38, 'eis_dim': 16, 'eis_new_dim': 4, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 1030825705976, 'hecke_orbit_dims': [2, 4, 4, 4, 4, 4, 16], 'label': '504.2.p', 'level': 504, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 104, 'mf_new_dim': 42, 'num_forms': 7, 'prim_orbit_index': 5, 'relative_dim': 38, 'sturm_bound': 192, 'trace_bound': 14, 'trace_display': [1, 0, 0, 0], 'traces': [38, 1, 0, -3, 0, 0, 0, 7, 0, 0, 8, 0, 0, 11, 0, -11, 0, 0, 0, 0, 0, 8, 0, 0, 26, 0, 0, -13, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 6, 0, 0, -10, 43, 0, 0, 0, 0, 0, -35, 0, -16, 0, 0, 0, 0, 0, -39, 24, 0, 16, 0, 0, -48, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 8, 0, 0, -24, -62, 0, 0, 0, 0, 0, -39, 0, -49, 0, 0, 0, 0, 0, -8, -40, 0, 0, 0, 0, 11, 20, 0, 0, 36, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 15, 0, 40, 0, 0, 0, -92, 0, 0, 20, 0, 0, 72, 0, 50, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 32, 16, 0, 0, 78, 0, 0, -28, 0, -80, 0, 0, 0, 0, 0, 10, 8, 0, -36, 0, 0, 0, 156, 0, 0, -104, 0, 0, 80, 0, -6, 0, 0, 0, 0, 0, 152, 0, 0, -36, 0, 0, -91, 0, 0, 0, -99, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 32, -20, 0, -64, 0, 0, 0, 180, 0, 0, 0, 0, 0, -83, 0, 106, 0, 0, 0, 0, 0, -56, -12, 0, -144, 0, 0, -24, 0, 0, 0, -99, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -38, 0, 101, 0, 0, -8, -176, 0, 0, 0, 0, 0, -112, 0, 148, 0, 0, 0, 0, 0, -154, 184, 0, 0, 0, 0, 16, 4, 0, 0, 142, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 36, 0, 48, 0, 0, 0, -222, 0, 0, -24, 0, 0, 100, 0, 48, 0, 0, 0, 0, 0, 230, 0, 0, 0, 0, 0, 122, -64, 0, 0, 132, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -52, 75, 0, -96, 0, 0, 0, 228, 0, 0, 216, 0, 0, 129, 0, 144, 0, 0, 0, 0, 0, -16, 0, 0, -70, 0, 0, -32, 0, 0, 0, -190, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 48, -80, 0, -150, 0, 0, 16, 222, 0, 0, 0, 0, 0, -129, 0, -224, 0, 0, 0, 0, 0, -169, -92, 0, 80, 0, 0, -32, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 80, 0, 0, 168, -220, 0, 0, 0, 0, 0, -120, 0, 52, 0, 0, 0, 0, 0, -256, -216, 0, 0, 0, 0, 207, -60, 0, 0, 174, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 84, 0, 22, 0, 0, 0, -256, 0, 0, -48, 0, 0, 152, 0, -146, 0, 0, 0, 0, 0, -71, 0, 0, 0, 0, 0, 48, 120, 0, 0, 184, 0, 0, 68, 0, -64, 0, 0, 0, 0, 0, -24, 96, 0, -150, 0, 0, 0, 295, 0, 0, -256, 0, 0, 132, 0, -304, 0, 0, 0, 0, 0, 178, 0, 0, 50, 0, 0, -48, 0, 0, 0, -148, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 112, -118, 0, -232, 0, 0, 44, 228, 0, 0, 0, 0, 0, -160, 0, 6, 0, 0, 0, 0, 0, -282, 68, 0, -112, 0, 0, -216, 0, 0, 0, -279, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 108, 0, 0, 0, -340, 0, 0, 0, 0, 0, -204, 0, -86, 0, 0, 0, 0, 0, -88, 272, 0, 0, 0, 0, 80, -76, 0, 0, 336, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 18, 0, 280, 0, 0, 0, -336, 0, 0, 68, 0, 0, 190, 0, 352, 0, 0, 0, 0, 0, 164, 0, 0, 0, 0, 0, -48, -152, 0, 0, 220, 0, 0, -40, 0, 224, 0, 0, 0, 0, 0, 140, 118, 0, -121, 0, 0, 0, 336, 0, 0, 328, 0, 0, 227, 0, -148, 0, 0, 0, 0, 0, 368, 0, 0, 128, 0, 0, -255, 0, 0, 0, -260, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -272, -20, 0, -90, 0, 0, -112, 347, 0, 0, 0, 0, 0, -144, 0, 224, 0, 0, 0, 0, 0, 10, 176, 0, 336, 0, 0, -40, 0, 0, 0, -148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 304, 0, 0, 104, -394, 0, 0, 0, 0, 0, -152, 0, 334, 0, 0, 0, 0, 0, -216, -304, 0, 0, 0, 0, -51, 216, 0, 0, 284, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 205, 0, 154, 0, 0, 0, -368, 0, 0, 132, 0, 0, 188, 0, 16, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 360, 88, 0, 0, 344, 0, 0, -176, 0, -352, 0, 0, 0, 0, 0, -114, 4, 0, 4, 0, 0, 0, 268, 0, 0, -416, 0, 0, 224, 0, 288, 0, 0, 0, 0, 0, -18, 0, 0, -24, 0, 0, -48, 0, 0, 0, -308, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -80, -176, 0, -8, 0, 0, 44, 456, 0, 0, 0, 0, 0, -235, 0, -482, 0, 0, 0, 0, 0, -306, -184, 0, -80, 0, 0, 8, 0, 0, 0, -290, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 336, 0, 0, -304, -390, 0, 0, 0, 0, 0, -132, 0, -192, 0, 0, 0, 0, 0, -400, 216, 0, 0, 0, 0, 320, -60, 0, 0, 154, 0, 0, 0, 0, -154, 0, 0, 0, 0, 0, 0, 147, 0, 160, 0, 0, 0, -318, 0, 0, -92, 0, 0, 160, 0, -280, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 110, -144, 0, 0, 340, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 355304
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '504.2.p.c', 'target_level': 504, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 355305
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '504.2.p.c', 'target_level': 504, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 355306
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '504.2.p.c', 'target_level': 504, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 355307
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '504.2.p.c', 'target_level': 504, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 355308
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '504.2.p.c', 'target_level': 504, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 355309
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '504.2.p.c', 'target_level': 504, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 355310
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '504.2.p.c', 'target_level': 504, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 355311
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -168, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '504.2.p.c', 'target_level': 504, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 355312
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2016.2.p.c', 'target_level': 2016, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 355313
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2016.2.p.c', 'target_level': 2016, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 355314
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2016.2.p.c', 'target_level': 2016, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 355315
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2016.2.p.c', 'target_level': 2016, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 355316
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2016.2.p.c', 'target_level': 2016, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 355317
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2016.2.p.c', 'target_level': 2016, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 355318
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2016.2.p.c', 'target_level': 2016, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 355319
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '504.2.p.c', 'source_level': 504, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2016.2.p.c', 'target_level': 2016, 'twist_class_label': '504.2.p.c', 'twist_class_level': 504, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 974325
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 2}
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id: 974326
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9008230080446968, 'p': 3}
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id: 974327
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9008230080446968, 'p': 5}
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id: 974328
{'charpoly_factorization': [[[-7, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 7}
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id: 974329
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9008230080446968, 'p': 11}
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id: 974330
{'charpoly_factorization': [[[-28, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 13}
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id: 974331
{'charpoly_factorization': [[[56, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 17}
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id: 974332
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9008230080446968, 'p': 19}
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id: 974333
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 23}
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id: 974334
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 29}
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id: 974335
{'charpoly_factorization': [[[-28, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 31}
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id: 974336
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9008230080446968, 'p': 37}
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id: 974337
{'charpoly_factorization': [[[56, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 41}
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id: 974338
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 9008230080446968, 'p': 43}
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id: 974339
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9008230080446968, 'p': 47}
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id: 974340
{'charpoly_factorization': [[[128, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 53}
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id: 974341
{'charpoly_factorization': [[[224, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 59}
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id: 974342
{'charpoly_factorization': [[[-28, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 61}
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id: 974343
{'charpoly_factorization': [[[10, 1], 4]], 'hecke_orbit_code': 9008230080446968, 'p': 67}
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id: 974344
{'charpoly_factorization': [[[200, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 71}
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id: 974345
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9008230080446968, 'p': 73}
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id: 974346
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9008230080446968, 'p': 79}
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id: 974347
{'charpoly_factorization': [[[224, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 83}
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id: 974348
{'charpoly_factorization': [[[56, 0, 1], 2]], 'hecke_orbit_code': 9008230080446968, 'p': 89}
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id: 974349
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9008230080446968, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 16, 'hecke_orbit': 3, 'label': '504.2.p.c', 'level': 504, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31696309
{'hecke_orbit_code': 9008230080446968, 'n': 1, 'trace_an': 4}
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id: 31696310
{'hecke_orbit_code': 9008230080446968, 'n': 2, 'trace_an': 0}
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id: 31696311
{'hecke_orbit_code': 9008230080446968, 'n': 3, 'trace_an': 0}
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id: 31696312
{'hecke_orbit_code': 9008230080446968, 'n': 4, 'trace_an': -8}
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id: 31696313
{'hecke_orbit_code': 9008230080446968, 'n': 5, 'trace_an': 0}
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id: 31696314
{'hecke_orbit_code': 9008230080446968, 'n': 6, 'trace_an': 0}
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