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mf_newforms • Show schema
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{'Nk2': 2320, 'analytic_conductor': 4.631323317234262, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 580, 'char_degree': 12, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 28, 'char_parity': 1, 'char_values': [580, 28, [291, 117, 321], [14, 14, 9]], 'cm_discs': [-20], 'conrey_index': 19, 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [28561, 496522, 4315922, 50869832, 278117033, -184697666, 64144394, 16030020, 4707122, -23569426, 13706960, -6963154, 3015699, -783392, 183458, -36140, 1820, -996, -22, -10, 164, -50, 8, -4, 1]], [13, [0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13512860499968580, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 20, 4, -1, 2, -20], [1, 1, 29, 6, -1, 28, 0], [1, 1, 580, 31, 1, 28, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': 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mf_hecke_cc • Show schema
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'embedding_index': 1, 'embedding_m': 3, 'hecke_orbit': 4, 'hecke_orbit_code': 13512860499968580, 'label': '580.2.be.d.39.1', 'level': 580, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2320, 'analytic_conductor': 4.631323317234262, 'char_conductor': 580, 'char_degree': 12, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 28, 'char_parity': 1, 'char_values': [580, 28, [291, 117, 321], [14, 14, 9]], 'conrey_index': 19, 'cusp_dim': 1032, 'dim': 1032, 'eis_dim': 96, 'eis_new_dim': 96, 'hecke_cutter_primes': [3, 13], 'hecke_orbit_code': 2061617857092, 'hecke_orbit_dims': [12, 12, 24, 24, 960], 'label': '580.2.be', 'level': 580, '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, 5, 29], 'level_radical': 290, 'mf_dim': 1128, 'mf_new_dim': 1128, 'num_forms': 5, 'prim_orbit_index': 31, 'relative_dim': 86, 'sturm_bound': 180, 'trace_bound': 2, 'trace_display': [0, 0, -28, 0], 'traces': [1032, 0, 0, -28, -28, -28, 0, 0, -56, -8, 0, 0, 0, -16, 0, -20, 0, 0, 0, -26, -16, 0, 0, -20, 0, -16, 0, 0, -40, -104, 0, 0, 0, -28, 0, -52, 0, 0, 0, -32, -68, 0, 0, 44, -60, -40, 0, 0, -132, -118, 0, 0, 0, -68, 0, -56, 0, 0, 0, -176, -28, 0, 0, -28, 20, 80, 0, 0, -16, -102, 0, 0, 0, 68, 0, 0, 0, 0, 0, -14, 148, 0, 0, 32, -16, 0, 0, 0, -36, -64, 0, 0, 0, -68, 0, -28, 0, 0, 0, -14, -20, 0, 0, 88, -76, -48, 0, 0, -196, 2, 0, 0, 0, 108, 0, -16, 0, 0, 0, -14, -56, 0, 0, 176, -28, -152, 0, 0, -336, -60, 0, 0, 0, 64, 0, -60, 0, 0, 0, 0, -88, 0, 0, 0, -36, 152, 0, 0, -56, -112, 0, 0, 0, -196, 0, 404, 0, 0, 0, -260, 72, 0, 0, -516, 44, 368, 0, 0, -316, -338, 0, 0, 0, -284, 0, 204, 0, 0, 0, -434, 0, 0, 0, -184, 48, 216, 0, 0, -152, -266, 0, 0, 0, -360, 0, 336, 0, 0, 0, -74, -48, 0, 0, -112, -170, 92, 0, 0, -56, -140, 0, 0, 0, 104, 0, 560, 0, 0, 0, -424, 244, 0, 0, 192, -252, 452, 0, 0, 28, -192, 0, 0, 0, 92, 0, 616, 0, 0, 0, -172, 392, 0, 0, -244, -154, 636, 0, 0, -48, -152, 0, 0, 0, -28, 0, 236, 0, 0, 0, 0, -48, 0, 0, 192, -28, 168, 0, 0, -36, 294, 0, 0, 0, 588, 0, 236, 0, 0, 0, 172, -272, 0, 0, 532, -320, 496, 0, 0, 0, 140, 0, 0, 0, 1120, 0, 224, 0, 0, 0, 68, 32, 0, 0, 316, -116, -20, 0, 0, 288, 146, 0, 0, 0, 208, 0, 232, 0, 0, 0, 720, -288, 0, 0, 168, -364, 20, 0, 0, 112, 568, 0, 0, 0, -224, 0, 28, 0, 0, 0, 446, -56, 0, 0, 396, -192, -108, 0, 0, -144, 418, 0, 0, 0, 140, 0, -172, 0, 0, 0, 454, -56, 0, 0, -552, -648, -196, 0, 0, -52, 350, 0, 0, 0, -88, 0, 0, 0, 0, 0, 116, -56, 0, 0, -164, -44, -28, 0, 0, -164, 168, 0, 0, 0, -628, 0, 96, 0, 0, 0, -62, -112, 0, 0, -444, 0, 312, 0, 0, 276, -14, 0, 0, 0, -920, 0, 120, 0, 0, 0, 364, -12, 0, 0, -344, 130, -40, 0, 0, 408, 54, 0, 0, 0, 0, 0, -456, 0, 0, 0, 434, -784, 0, 0, 280, 364, -696, 0, 0, 600, 630, 0, 0, 0, 204, 0, -1480, 0, 0, 0, 316, -516, 0, 0, 600, 344, -56, 0, 0, 280, 252, 0, 0, 0, 684, 0, -516, 0, 0, 0, 816, -596, 0, 0, 172, 264, -1372, 0, 0, 176, 794, 0, 0, 0, 360, 0, -720, 0, 0, 0, 506, -448, 0, 0, -228, 234, -1596, 0, 0, 504, 1064, 0, 0, 0, -184, 0, -1120, 0, 0, 0, 376, 0, 0, 0, 48, 264, -1372, 0, 0, -36, 482, 0, 0, 0, 92, 0, -1240, 0, 0, 0, 94, -68, 0, 0, -756, 210, -856, 0, 0, 376, 0, 0, 0, 0, -500, 0, -1204, 0, 0, 0, 42, 744, 0, 0, -1092, 368, -436, 0, 0, 1236, -228, 0, 0, 0, -1020, 0, -1588, 0, 0, 0, -98, -64, 0, 0, -840, 1022, -700, 0, 0, 392, -50, 0, 0, 0, -876, 0, 292, 0, 0, 0, -660, 156, 0, 0, -952, 92, -408, 0, 0, 1280, -1092, 0, 0, 0, -784, 0, -560, 0, 0, 0, -708, 416, 0, 0, -112, 440, -240, 0, 0, -500, -1340, 0, 0, 0, -588, 0, 80, 0, 0, 0, -298, 52, 0, 0, 616, -196, 420, 0, 0, 432, -376, 0, 0, 0, 812, 0, 188, 0, 0, 0, -700, -72, 0, 0, 40, 132, 0, 0, 0, 200, -94, 0, 0, 0, -132, 0, -28, 0, 0, 0, -322, -112, 0, 0, 668, 184, -396, 0, 0, 280, -132, 0, 0, 0, 1056, 0, -588, 0, 0, 0, -308, -56, 0, 0, 788, -28, -212, 0, 0, 168, -468, 0, 0, 0, 436, 0, -76, 0, 0, 0, -42, 168, 0, 0, 0, 28, 1424, 0, 0, 280, -560, 0, 0, 0, -392, 0, 704, 0, 0, 0, -532, -704, 0, 0, -208, -316, 700, 0, 0, 240, -854, 0, 0, 0, -796, 0, 1012, 0, 0, 0, -896, -504, 0, 0, -212, 112, 532, 0, 0, 188, -990, 0, 0, 0, -600, 0, 1568, 0, 0, 0, -1094, -664, 0, 0, -936, 376, 1008, 0, 0, -56, -614, 0, 0, 0, 24, 0, 1484, 0, 0, 0, -1096, -1244, 0, 0, 52, 1176, 656, 0, 0, -380, -874, 0, 0, 0, 372, 0, 2212, 0, 0, 0, 22, -2072, 0, 0, 864, 532, 1552, 0, 0, -164, 254, 0, 0, 0, 1344, 0, 816, 0, 0, 0, 0, -332, 0, 0, 484, 476, 2492, 0, 0, -320, 196, 0, 0, 0, 1904, 0, 1012, 0, 0, 0, 536, -504, 0, 0, 1300, 232, 1824, 0, 0, 0, 94, 0, 0, 0, 1652, 0, 700, 0, 0, 0, 136, -228, 0, 0, 1332, 1112, 148, 0, 0, -544, 1184, 0, 0, 0, 1004, 0, 912, 0, 0, 0, 2436, 112, 0, 0, 924, 602, 660, 0, 0, -44, 1526, 0, 0, 0, 852, 0, 292, 0, 0, 0, 1168, -56, 0, 0, 956, 1100, -216, 0, 0, -64, 424, 0, 0, 0, -280, 0, -468, 0, 0, 0, 596, -56, 0, 0, -700, 732, -380, 0, 0, -248, 364, 0, 0, 0, -448, 0, 0, 0, 0, 0, 106, -56, 0, 0, 64, 496, -28, 0, 0, -128, 518, 0, 0, 0, -1020, 0, 236, 0, 0, 0, 290, -992, 0, 0, -424, 0, 284, 0, 0, -352, 980, 0, 0, 0, 92, 0, -288, 0, 0, 0, 688], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43734676
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 39, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13512860499968580, 'source_is_minimal': True, 'source_label': '580.2.be.d.39.1', 'source_level': 580, 'target_conrey_index': 39, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512860499968580, 'target_is_minimal': True, 'target_label': '580.2.be.d.39.1', 'target_level': 580, 'twist_class_label': '580.2.be.c.39.2', 'twist_class_level': 580, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43734677
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 39, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13512860499968580, 'source_is_minimal': True, 'source_label': '580.2.be.d.39.1', 'source_level': 580, 'target_conrey_index': 39, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009260872598084, 'target_is_minimal': True, 'target_label': '580.2.be.c.39.2', 'target_level': 580, 'twist_class_label': '580.2.be.c.39.2', 'twist_class_level': 580, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43734678
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 39, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13512860499968580, 'source_is_minimal': True, 'source_label': '580.2.be.d.39.1', 'source_level': 580, 'target_conrey_index': 39, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009260872598084, 'target_is_minimal': True, 'target_label': '580.2.be.c.39.2', 'target_level': 580, 'twist_class_label': '580.2.be.c.39.2', 'twist_class_level': 580, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43734679
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 39, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13512860499968580, 'source_is_minimal': True, 'source_label': '580.2.be.d.39.1', 'source_level': 580, 'target_conrey_index': 39, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512860499968580, 'target_is_minimal': True, 'target_label': '580.2.be.d.39.1', 'target_level': 580, 'twist_class_label': '580.2.be.c.39.2', 'twist_class_level': 580, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 43734680
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 39, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13512860499968580, 'source_is_minimal': True, 'source_label': '580.2.be.d.39.1', 'source_level': 580, 'target_conrey_index': 119, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512860499968580, 'target_is_minimal': True, 'target_label': '580.2.be.d.119.1', 'target_level': 580, 'twist_class_label': '580.2.be.c.39.2', 'twist_class_level': 580, 'twisting_char_label': '29.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43734681
{'conductor': 116, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 39, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13512860499968580, 'source_is_minimal': True, 'source_label': '580.2.be.d.39.1', 'source_level': 580, 'target_conrey_index': 119, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009260872598084, 'target_is_minimal': True, 'target_label': '580.2.be.c.119.2', 'target_level': 580, 'twist_class_label': '580.2.be.c.39.2', 'twist_class_level': 580, 'twisting_char_label': '116.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43734682
{'conductor': 145, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 39, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13512860499968580, 'source_is_minimal': True, 'source_label': '580.2.be.d.39.1', 'source_level': 580, 'target_conrey_index': 119, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009260872598084, 'target_is_minimal': True, 'target_label': '580.2.be.c.119.2', 'target_level': 580, 'twist_class_label': '580.2.be.c.39.2', 'twist_class_level': 580, 'twisting_char_label': '145.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 43734683
{'conductor': 580, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 39, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13512860499968580, 'source_is_minimal': True, 'source_label': '580.2.be.d.39.1', 'source_level': 580, 'target_conrey_index': 119, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512860499968580, 'target_is_minimal': True, 'target_label': '580.2.be.d.119.1', 'target_level': 580, 'twist_class_label': '580.2.be.c.39.2', 'twist_class_level': 580, 'twisting_char_label': '580.119', 'twisting_conrey_index': 119, 'weight': 2}
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hecke_orbit_code 13512860499968580 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 31, 'hecke_orbit': 4, 'label': '580.2.be.d', 'level': 580, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 37665139
{'hecke_orbit_code': 13512860499968580, 'n': 1, 'trace_an': 24}
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id: 37665140
{'hecke_orbit_code': 13512860499968580, 'n': 2, 'trace_an': 4}
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id: 37665141
{'hecke_orbit_code': 13512860499968580, 'n': 3, 'trace_an': 4}
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id: 37665142
{'hecke_orbit_code': 13512860499968580, 'n': 4, 'trace_an': 0}
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id: 37665143
{'hecke_orbit_code': 13512860499968580, 'n': 5, 'trace_an': 0}
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id: 37665144
{'hecke_orbit_code': 13512860499968580, 'n': 6, 'trace_an': 0}
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id: 37665145
{'hecke_orbit_code': 13512860499968580, 'n': 7, 'trace_an': -30}
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id: 37665146
{'hecke_orbit_code': 13512860499968580, 'n': 8, 'trace_an': -8}
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id: 37665147
{'hecke_orbit_code': 13512860499968580, 'n': 9, 'trace_an': 0}
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id: 37665148
{'hecke_orbit_code': 13512860499968580, 'n': 10, 'trace_an': 0}
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id: 37665149
{'hecke_orbit_code': 13512860499968580, 'n': 11, 'trace_an': 0}
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id: 37665150
{'hecke_orbit_code': 13512860499968580, 'n': 12, 'trace_an': -8}
-
id: 37665151
{'hecke_orbit_code': 13512860499968580, 'n': 13, 'trace_an': 0}
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id: 37665152
{'hecke_orbit_code': 13512860499968580, 'n': 14, 'trace_an': -12}
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id: 37665153
{'hecke_orbit_code': 13512860499968580, 'n': 15, 'trace_an': 70}
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id: 37665154
{'hecke_orbit_code': 13512860499968580, 'n': 16, 'trace_an': 16}
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id: 37665155
{'hecke_orbit_code': 13512860499968580, 'n': 17, 'trace_an': 0}
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id: 37665156
{'hecke_orbit_code': 13512860499968580, 'n': 18, 'trace_an': 4}
-
id: 37665157
{'hecke_orbit_code': 13512860499968580, 'n': 19, 'trace_an': 0}
-
id: 37665158
{'hecke_orbit_code': 13512860499968580, 'n': 20, 'trace_an': 0}
-
id: 37665159
{'hecke_orbit_code': 13512860499968580, 'n': 21, 'trace_an': -12}
-
id: 37665160
{'hecke_orbit_code': 13512860499968580, 'n': 22, 'trace_an': 0}
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id: 37665161
{'hecke_orbit_code': 13512860499968580, 'n': 23, 'trace_an': -10}
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id: 37665162
{'hecke_orbit_code': 13512860499968580, 'n': 24, 'trace_an': -40}
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id: 37665163
{'hecke_orbit_code': 13512860499968580, 'n': 25, 'trace_an': 20}
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id: 37665164
{'hecke_orbit_code': 13512860499968580, 'n': 26, 'trace_an': 0}
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id: 37665165
{'hecke_orbit_code': 13512860499968580, 'n': 27, 'trace_an': 58}
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