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mf_newforms • Show schema
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{'Nk2': 1620, 'analytic_conductor': 4.904644758485344, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [180, 2, [91, 101, 37], [2, 1, 1]], 'cm_discs': [], 'conrey_index': 89, 'conrey_indexes': [89], 'dim': 4, 'field_disc': 135424, 'field_disc_factorization': [[2, 8], [23, 2]], 'field_poly': [121, 0, 24, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 68769808564, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 15, 4, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '180.3.b.a', 'level': 180, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '180.3.b.a', 'nf_label': '4.0.135424.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(-\\beta _{1}+\\beta _{3})q^{5}-\\beta _{2}q^{7}+7\\beta _{1}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '180.3.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1534154479383820359, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.050', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.712', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.418', 'prec': 17}, {'__RealLiteral__': 0, 'data': '119.144', 'prec': 24}, {'__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, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 1], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 7, 0, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [12, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [21, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -6, 0, 0], [0, 0, 0, 0], [-38, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -23, 0, -2], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 49, 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, -16], [0, 0, 0, 0], [3, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [14, 0, 7, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -59, 0, 0], [0, 0, 0, 0], [-70, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -69, 0, -6], [0, 0, 0, 0], [0, 0, 16, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 84, 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, 14], [0, 0, 0, 0], [30, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -28], [0, 0, 0, 0], [92, 0, -4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 23, 0, 0], [0, 0, 0, 0], [-138, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -12, 0, 12], [0, 0, 0, 0], [0, 0, -14, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 1], [0, 0, -1, 0], [0, 7, 0, 0], [0, 0, -3, 0], [0, 0, 0, 4], [12, 0, 0, 0], [0, 0, 0, 2], [0, -6, 0, 0], [-38, 0, 0, 0], [0, 0, -1, 0], [0, 49, 0, 0], [0, 0, 10, 0], [0, 0, 0, -16], [0, 0, 0, 0], [0, -59, 0, 0], [-70, 0, 0, 0], [0, 0, 16, 0], [0, 84, 0, 0], [0, 0, -2, 0], [30, 0, 0, 0], [0, 0, 0, -28], [0, 23, 0, 0], [0, 0, -14, 0], [0, 56, 0, 0], [0, 0, -13, 0], [0, 0, 0, 12], [74, 0, 0, 0], [0, 0, 0, 36], [0, 0, -25, 0], [0, 117, 0, 0], [0, 0, 0, -24], [62, 0, 0, 0], [0, 112, 0, 0], [70, 0, 0, 0], [0, 0, 7, 0], [0, 0, 14, 0], [0, 0, 0, 42], [0, 0, 0, -56], [0, -95, 0, 0], [-22, 0, 0, 0], [0, -138, 0, 0], [0, 0, 40, 0], [0, 0, 0, -34], [294, 0, 0, 0], [-42, 0, 0, 0], [0, 0, -29, 0], [0, 0, 0, -56], [-422, 0, 0, 0], [0, 0, 0, -44], [0, 50, 0, 0], [280, 0, 0, 0], [0, -57, 0, 0], [0, 0, 0, 0], [0, 0, 0, 14], [0, 186, 0, 0], [322, 0, 0, 0], [0, 0, 5, 0], [0, -231, 0, 0], [0, 0, -16, 0], [0, 0, 0, 42], [0, 0, -24, 0], [0, -126, 0, 0], [0, 0, -8, 0], [0, 0, 0, 58], [40, 0, 0, 0], [0, 0, -46, 0], [0, 0, 0, -84], [-406, 0, 0, 0], [0, 0, 0, 112], [0, -114, 0, 0], [0, 0, -37, 0], [0, 0, -15, 0], [538, 0, 0, 0], [0, 0, 0, -56], [0, 350, 0, 0], [0, 0, 41, 0], [0, -175, 0, 0], [-242, 0, 0, 0], [0, -559, 0, 0], [358, 0, 0, 0], [0, 10, 0, 0], [0, 0, -38, 0], [-690, 0, 0, 0], [0, 0, 0, -84], [0, 57, 0, 0], [0, 0, 50, 0], [0, 456, 0, 0], [0, 0, 39, 0], [0, 0, 0, -96], [0, 56, 0, 0], [0, 0, 117, 0], [0, 399, 0, 0], [-72, 0, 0, 0], [0, 0, 0, 48], [0, -348, 0, 0], [0, -49, 0, 0], [0, 0, 50, 0], [-590, 0, 0, 0], [0, 0, -34, 0], [0, 0, 0, -144], [0, 0, 0, 4], [0, 77, 0, 0], [-704, 0, 0, 0], [0, 0, -166, 0], [0, 0, 0, 204], [0, 0, 0, 0], [0, -210, 0, 0], [20, 0, 0, 0], [0, 0, 1, 0], [0, 0, 7, 0], [0, 0, 0, -8], [178, 0, 0, 0], [-154, 0, 0, 0], [0, 571, 0, 0], [0, 0, -150, 0], [0, 0, 0, 168], [0, 0, 0, 14], [0, -371, 0, 0], [74, 0, 0, 0], [0, 0, -102, 0], [0, 0, 0, 58], [0, 0, 0, -88], [-68, 0, 0, 0], [0, -92, 0, 0], [-210, 0, 0, 0], [0, 86, 0, 0], [0, 0, 3, 0], [0, 0, 209, 0], [416, 0, 0, 0], [0, 0, 0, -168], [86, 0, 0, 0], [0, 0, -7, 0], [0, 261, 0, 0], [384, 0, 0, 0], [0, 0, 0, -42], [0, 0, -70, 0], [0, 0, 0, -104], [0, -1047, 0, 0], [-602, 0, 0, 0], [0, -994, 0, 0], [0, 0, 189, 0], [0, 0, 0, 244], [1074, 0, 0, 0], [0, 526, 0, 0], [0, 0, -25, 0], [0, 0, 0, 24], [154, 0, 0, 0], [0, 0, 0, 222], [0, 0, 205, 0], [0, 609, 0, 0], [0, 0, -150, 0], [0, 0, 0, -126], [0, 0, -138, 0], [0, -540, 0, 0], [-54, 0, 0, 0], [0, 105, 0, 0], [0, 0, -116, 0], [0, -242, 0, 0], [0, 0, 0, -84], [0, 0, 0, -224], [0, 0, -59, 0], [0, -483, 0, 0], [0, 0, 0, 336], [0, 0, 0, -200], [1054, 0, 0, 0], [0, 0, -177, 0]], 'char_orbit_index': 2, 'field_poly': [121, 0, 24, 0, 1], 'hecke_orbit_code': 68769808564, 'hecke_ring_character_values': [[91, [1, 0, 0, 0]], [101, [-1, 0, 0, 0]], [37, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 11, 11, 1], 'hecke_ring_inverse_denominators': [1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -1, 1, 0], [-12, 0, 0, 1], [0, 35, -13, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 13, 0, 1], [0, 35, 0, 1], [12, 0, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '180.3.b.a', 'level': 180, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 1620, 'analytic_conductor': 4.904644758485344, 'char_conductor': 15, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [180, 2, [91, 101, 37], [2, 1, 1]], 'conrey_index': 89, 'cusp_dim': 60, 'dim': 4, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 68769808564, 'hecke_orbit_dims': [4], 'label': '180.3.b', 'level': 180, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 84, 'mf_new_dim': 4, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 4, 'sturm_bound': 108, 'trace_bound': 0, 'trace_display': [0, 0, 0, 0], 'traces': [4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 368, 0, 0, 0, 0, 0, -552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -980, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1176, 0, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1688, 0, 0, 0, 0, 0, -1472, 0, 0, 0, 0, 0, 1120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 316, 0, 0, 0, 0, 0, -472, 0, 0, 0, 0, 0, 1840, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, -1104, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1624, 0, 0, 0, 0, 0, 672, 0, 0, 0, 0, 0, -868, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2152, 0, 0, 0, 0, 0, 1288, 0, 0, 0, 0, 0, 736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -968, 0, 0, 0, 0, 0, -2576, 0, 0, 0, 0, 0, 1432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2760, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, -2744, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2944, 0, 0, 0, 0, 0, 1008, 0, 0, 0, 0, 0, -552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1748, 0, 0, 0, 0, 0, 1104, 0, 0, 0, 0, 0, -2360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5520, 0, 0, 0, 0, 0, 3312, 0, 0, 0, 0, 0, -2816, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1824, 0, 0, 0, 0, 0, -736, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 712, 0, 0, 0, 0, 0, 1028, 0, 0, 0, 0, 0, -616, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3304, 0, 0, 0, 0, 0, 936, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2576, 0, 0, 0, 0, 0, -2208, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -840, 0, 0, 0, 0, 0, 3864, 0, 0, 0, 0, 0, -2392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1664, 0, 0, 0, 0, 0, 896, 0, 0, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1536, 0, 0, 0, 0, 0, -3192, 0, 0, 0, 0, 0, -4704, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5888, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, -2408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4296, 0, 0, 0, 0, 0, 3864, 0, 0, 0, 0, 0, 3076, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 616, 0, 0, 0, 0, 0, -5152, 0, 0, 0, 0, 0, 8832, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4600, 0, 0, 0, 0, 0, -760, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1104, 0, 0, 0, 0, 0, -1104, 0, 0, 0, 0, 0, 1932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1288, 0, 0, 0, 0, 0, -3128, 0, 0, 0, 0, 0, 4216, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 149616
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.3.b.a', 'target_level': 180, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 149617
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.3.b.a', 'target_level': 180, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 149618
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.3.b.a', 'target_level': 180, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 149619
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.3.b.a', 'target_level': 180, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 149620
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.c.b', 'target_level': 720, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 149621
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.c.b', 'target_level': 720, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 149622
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.c.b', 'target_level': 720, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 149623
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.c.b', 'target_level': 720, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 149624
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.3.g.c', 'target_level': 900, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 149625
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.3.g.c', 'target_level': 900, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 149626
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 149627
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 149628
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 149629
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 149630
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2880.3.c.c', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 149631
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2880.3.c.c', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 149632
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2880.3.c.c', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 149633
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2880.3.c.c', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 149634
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.3.c.f', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 149635
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.3.c.f', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 149636
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.3.c.f', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 149637
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.3.c.f', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 3}
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id: 149638
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3600.3.l.r', 'target_level': 3600, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 149639
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '180.3.b.a', 'source_level': 180, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3600.3.l.r', 'target_level': 3600, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 459375
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68769808564, 'p': 2}
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id: 459376
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68769808564, 'p': 3}
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id: 459377
{'charpoly_factorization': [[[625, 0, -42, 0, 1], 1]], 'hecke_orbit_code': 68769808564, 'p': 5}
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id: 459378
{'charpoly_factorization': [[[46, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 7}
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id: 459379
{'charpoly_factorization': [[[98, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 11}
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id: 459380
{'charpoly_factorization': [[[414, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 13}
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id: 459381
{'charpoly_factorization': [[[-368, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 17}
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id: 459382
{'charpoly_factorization': [[[-12, 1], 4]], 'hecke_orbit_code': 68769808564, 'p': 19}
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id: 459383
{'charpoly_factorization': [[[-92, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 23}
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id: 459384
{'charpoly_factorization': [[[72, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 29}
-
id: 459385
{'charpoly_factorization': [[[38, 1], 4]], 'hecke_orbit_code': 68769808564, 'p': 31}
-
id: 459386
{'charpoly_factorization': [[[46, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 37}
-
id: 459387
{'charpoly_factorization': [[[4802, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 41}
-
id: 459388
{'charpoly_factorization': [[[4600, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 43}
-
id: 459389
{'charpoly_factorization': [[[-5888, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 47}
-
id: 459390
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68769808564, 'p': 53}
-
id: 459391
{'charpoly_factorization': [[[6962, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 59}
-
id: 459392
{'charpoly_factorization': [[[70, 1], 4]], 'hecke_orbit_code': 68769808564, 'p': 61}
-
id: 459393
{'charpoly_factorization': [[[11776, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 67}
-
id: 459394
{'charpoly_factorization': [[[14112, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 71}
-
id: 459395
{'charpoly_factorization': [[[184, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 73}
-
id: 459396
{'charpoly_factorization': [[[-30, 1], 4]], 'hecke_orbit_code': 68769808564, 'p': 79}
-
id: 459397
{'charpoly_factorization': [[[-18032, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 83}
-
id: 459398
{'charpoly_factorization': [[[1058, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 89}
-
id: 459399
{'charpoly_factorization': [[[9016, 0, 1], 2]], 'hecke_orbit_code': 68769808564, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '180.3.b.a', 'level': 180, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 18153000
{'hecke_orbit_code': 68769808564, 'n': 1, 'trace_an': 4}
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id: 18153001
{'hecke_orbit_code': 68769808564, 'n': 2, 'trace_an': 0}
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id: 18153002
{'hecke_orbit_code': 68769808564, 'n': 3, 'trace_an': 0}
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id: 18153003
{'hecke_orbit_code': 68769808564, 'n': 4, 'trace_an': 0}
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id: 18153004
{'hecke_orbit_code': 68769808564, 'n': 5, 'trace_an': 0}
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id: 18153005
{'hecke_orbit_code': 68769808564, 'n': 6, 'trace_an': 0}
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id: 18153006
{'hecke_orbit_code': 68769808564, 'n': 7, 'trace_an': 0}
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id: 18153007
{'hecke_orbit_code': 68769808564, 'n': 8, 'trace_an': 0}
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id: 18153008
{'hecke_orbit_code': 68769808564, 'n': 9, 'trace_an': 0}
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id: 18153009
{'hecke_orbit_code': 68769808564, 'n': 10, 'trace_an': 0}
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id: 18153010
{'hecke_orbit_code': 68769808564, 'n': 11, 'trace_an': 0}
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id: 18153011
{'hecke_orbit_code': 68769808564, 'n': 12, 'trace_an': 0}
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id: 18153012
{'hecke_orbit_code': 68769808564, 'n': 13, 'trace_an': 0}
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id: 18153013
{'hecke_orbit_code': 68769808564, 'n': 14, 'trace_an': 0}
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id: 18153014
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