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mf_newforms • Show schema
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 6, 'char_parity': 1, 'char_values': [1134, 6, [407, 325], [5, 5]], 'cm_discs': [], 'conrey_index': 215, 'conrey_indexes': [215, 269], 'dim': 16, 'field_disc': 343619949025856323584, 'field_disc_factorization': [[2, 36], [3, 12], [97, 2]], 'field_poly': [225, -1620, 5454, -12096, 19962, -25716, 26994, -23292, 16903, -10232, 5254, -2228, 796, -224, 52, -8, 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, [5184, -10368, 25920, -31104, 57024, -63936, 72576, -48384, 29448, -10224, 4176, -864, 432, -48, 24, 0, 1]], [11, [26244, -524880, 3726648, -4548960, -1370520, 4461480, 2478600, -694008, -365958, 79704, 34992, -8748, -936, 360, 18, -12, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525953339393134, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 81, 'hecke_ring_index_factorization': [[3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 9, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1134.2.l.h', 'level': 1134, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '1134.2.k.c', 'prim_orbit_index': 9, 'qexp_display': 'q+(-\\beta _{4}-\\beta _{9})q^{2}-q^{4}+(-\\beta _{1}-\\beta _{12}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1134.2.l', 'trace_display': [0, 0, 0, -4], 'trace_hash': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 6, 'char_parity': 1, 'char_values': [1134, 6, [407, 325], [5, 5]], 'conrey_index': 215, 'cusp_dim': 384, 'dim': 64, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 755947799662, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 16, 16], 'label': '1134.2.l', 'level': 1134, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 480, 'mf_new_dim': 64, 'num_forms': 8, 'prim_orbit_index': 9, 'relative_dim': 32, 'sturm_bound': 432, 'trace_bound': 11, 'trace_display': [0, 0, 0, -10], 'traces': [64, 0, 0, -64, 0, 0, -10, 0, 0, 0, 0, 0, -30, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 10, 0, 0, -12, 0, 0, 22, 0, 0, 30, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 46357539
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525953339393134, 'source_is_minimal': False, 'source_label': '1134.2.l.h.269.5', 'source_level': 1134, 'target_conrey_index': 269, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 31525953339393134, 'target_is_minimal': False, 'target_label': '1134.2.l.h.269.5', 'target_level': 1134, 'twist_class_label': '1134.2.k.c.647.5', 'twist_class_level': 1134, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46357540
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525953339393134, 'source_is_minimal': False, 'source_label': '1134.2.l.h.269.5', 'source_level': 1134, 'target_conrey_index': 269, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27022353712022638, 'target_is_minimal': False, 'target_label': '1134.2.l.g.269.4', 'target_level': 1134, 'twist_class_label': '1134.2.k.c.647.5', 'twist_class_level': 1134, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46357541
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525953339393134, 'source_is_minimal': False, 'source_label': '1134.2.l.h.269.5', 'source_level': 1134, 'target_conrey_index': 593, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27022903467836526, 'target_is_minimal': False, 'target_label': '1134.2.t.g.593.5', 'target_level': 1134, 'twist_class_label': '1134.2.k.c.647.5', 'twist_class_level': 1134, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46357542
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525953339393134, 'source_is_minimal': False, 'source_label': '1134.2.l.h.269.5', 'source_level': 1134, 'target_conrey_index': 647, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511486110434414, 'target_is_minimal': True, 'target_label': '1134.2.k.d.647.4', 'target_level': 1134, 'twist_class_label': '1134.2.k.c.647.5', 'twist_class_level': 1134, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46357543
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525953339393134, 'source_is_minimal': False, 'source_label': '1134.2.l.h.269.5', 'source_level': 1134, 'target_conrey_index': 1025, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526503095207022, 'target_is_minimal': False, 'target_label': '1134.2.t.h.1025.4', 'target_level': 1134, 'twist_class_label': '1134.2.k.c.647.5', 'twist_class_level': 1134, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46357544
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525953339393134, 'source_is_minimal': False, 'source_label': '1134.2.l.h.269.5', 'source_level': 1134, 'target_conrey_index': 1025, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27022903467836526, 'target_is_minimal': False, 'target_label': '1134.2.t.g.1025.5', 'target_level': 1134, 'twist_class_label': '1134.2.k.c.647.5', 'twist_class_level': 1134, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46357545
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525953339393134, 'source_is_minimal': False, 'source_label': '1134.2.l.h.269.5', 'source_level': 1134, 'target_conrey_index': 647, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007886483063918, 'target_is_minimal': True, 'target_label': '1134.2.k.c.647.5', 'target_level': 1134, 'twist_class_label': '1134.2.k.c.647.5', 'twist_class_level': 1134, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46357546
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525953339393134, 'source_is_minimal': False, 'source_label': '1134.2.l.h.269.5', 'source_level': 1134, 'target_conrey_index': 593, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526503095207022, 'target_is_minimal': False, 'target_label': '1134.2.t.h.593.4', 'target_level': 1134, 'twist_class_label': '1134.2.k.c.647.5', 'twist_class_level': 1134, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46357547
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525953339393134, 'source_is_minimal': False, 'source_label': '1134.2.l.h.269.5', 'source_level': 1134, 'target_conrey_index': 215, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525953339393134, 'target_is_minimal': False, 'target_label': '1134.2.l.h.215.1', 'target_level': 1134, 'twist_class_label': '1134.2.k.c.647.5', 'twist_class_level': 1134, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46357548
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525953339393134, 'source_is_minimal': False, 'source_label': '1134.2.l.h.269.5', 'source_level': 1134, 'target_conrey_index': 215, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27022353712022638, 'target_is_minimal': False, 'target_label': '1134.2.l.g.215.8', 'target_level': 1134, 'twist_class_label': '1134.2.k.c.647.5', 'twist_class_level': 1134, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 46357549
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525953339393134, 'source_is_minimal': False, 'source_label': '1134.2.l.h.269.5', 'source_level': 1134, 'target_conrey_index': 971, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007886483063918, 'target_is_minimal': True, 'target_label': '1134.2.k.c.971.5', 'target_level': 1134, 'twist_class_label': '1134.2.k.c.647.5', 'twist_class_level': 1134, 'twisting_char_label': '63.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 46357550
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525953339393134, 'source_is_minimal': False, 'source_label': '1134.2.l.h.269.5', 'source_level': 1134, 'target_conrey_index': 971, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511486110434414, 'target_is_minimal': True, 'target_label': '1134.2.k.d.971.4', 'target_level': 1134, 'twist_class_label': '1134.2.k.c.647.5', 'twist_class_level': 1134, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1711100
{'charpoly_factorization': [[[1, 0, 1], 8]], 'hecke_orbit_code': 31525953339393134, 'p': 2}
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id: 1711101
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 31525953339393134, 'p': 3}
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id: 1711102
{'charpoly_factorization': [[[5184, -10368, 25920, -31104, 57024, -63936, 72576, -48384, 29448, -10224, 4176, -864, 432, -48, 24, 0, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 5}
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id: 1711103
{'charpoly_factorization': [[[5764801, 3294172, 2117682, 1142876, 480200, 185220, 77224, 31528, 10035, 4504, 1576, 540, 200, 68, 18, 4, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 7}
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id: 1711104
{'charpoly_factorization': [[[26244, -524880, 3726648, -4548960, -1370520, 4461480, 2478600, -694008, -365958, 79704, 34992, -8748, -936, 360, 18, -12, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 11}
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id: 1711105
{'charpoly_factorization': [[[324, 3888, 8424, -85536, 108864, 236520, 15336, -135864, -10566, 65448, 35640, 5220, -756, -216, 30, 12, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 13}
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id: 1711106
{'charpoly_factorization': [[[6324066576, -538218432, 2490691680, 230978304, 718052688, 44832096, 72350496, 1715904, 5060844, 33840, 212112, -2448, 6372, -48, 96, 0, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 17}
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id: 1711107
{'charpoly_factorization': [[[2730480516, -4729196016, 1460552472, 2199247200, 32886000, -302634792, -17626248, 31939920, 6413706, -707832, -253368, 12708, 7236, 0, -102, 0, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 19}
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id: 1711108
{'charpoly_factorization': [[[126617123889, 92462493384, -762348834, -16992500112, 335654928, 1549524492, 13206564, -84496932, 227691, 3052080, -23652, -77112, 2304, 1224, -54, -12, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 23}
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id: 1711109
{'charpoly_factorization': [[[26244, 2099520, 57211920, 97977600, 55316520, -3674160, -12054744, 5470416, 12454722, 8087040, 3022920, 740340, 123696, 14112, 1062, 48, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 29}
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id: 1711110
{'charpoly_factorization': [[[48291381009, 0, 37538883972, 0, 9899029764, 0, 1100065860, 0, 60875226, 0, 1842804, 0, 31140, 0, 276, 0, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 31}
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id: 1711111
{'charpoly_factorization': [[[3838213866496, 617895821312, 538318577664, 25146105856, 39423805952, 628959744, 1889464576, -39078784, 61284384, -1530112, 1313344, -40896, 19712, -464, 180, -4, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 37}
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id: 1711112
{'charpoly_factorization': [[[41873841, -208728576, 1159024140, 489490128, 557115570, 174758256, 157357728, 52237224, 20960091, 4099968, 1049184, 190584, 35010, 4224, 420, 24, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 41}
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id: 1711113
{'charpoly_factorization': [[[8200708961344, -3137273296768, 1883062713024, -330469536896, 165621744896, -28423025856, 8893970368, -1102790656, 253683144, -28074832, 4933360, -413136, 52424, -3344, 360, -16, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 43}
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id: 1711114
{'charpoly_factorization': [[[467433, 140364, -110034, -10188, 7092, 120, -150, 0, 1], 2]], 'hecke_orbit_code': 31525953339393134, 'p': 47}
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id: 1711115
{'charpoly_factorization': [[[21321176960196, -4766464568304, -3432848099616, 846836353152, 535153528728, -17342770032, -20206357848, 314298144, 537303618, -5056344, -6969240, 43740, 65448, 0, -306, 0, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 53}
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id: 1711116
{'charpoly_factorization': [[[-498816, 1965312, 1142208, 130752, -20736, -4080, -24, 24, 1], 2]], 'hecke_orbit_code': 31525953339393134, 'p': 59}
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id: 1711117
{'charpoly_factorization': [[[4617126562500, 0, 1687809960000, 0, 227247539904, 0, 14412560040, 0, 474361884, 0, 8651520, 0, 88164, 0, 468, 0, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 61}
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id: 1711118
{'charpoly_factorization': [[[32398, 231008, -88136, -90652, 16840, 1208, -254, -4, 1], 2]], 'hecke_orbit_code': 31525953339393134, 'p': 67}
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id: 1711119
{'charpoly_factorization': [[[381069441, 0, 899303148, 0, 547435260, 0, 143540100, 0, 18199242, 0, 1107756, 0, 30492, 0, 324, 0, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 71}
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id: 1711120
{'charpoly_factorization': [[[218493609489, 2579517792108, 10359501166044, 2459275718544, -436924182834, -159005581308, 20707053408, 4499860716, -641520549, -77585796, 18613728, -730476, -69858, 4752, 300, -36, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 73}
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id: 1711121
{'charpoly_factorization': [[[1008289, -157888, -285146, 56972, 12760, -1780, -242, 8, 1], 2]], 'hecke_orbit_code': 31525953339393134, 'p': 79}
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id: 1711122
{'charpoly_factorization': [[[102736916676, 253556579664, 564868208952, 198685108656, 102459812760, 18671681736, 9833014440, 1860180984, 423326538, 64709352, 11231424, 1458108, 169920, 13872, 906, 36, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 83}
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id: 1711123
{'charpoly_factorization': [[[15178486401, 37362428064, 65144746368, 54692600976, 34231295790, 13529936736, 4278401856, 840980232, 173603331, 21904992, 6049728, 349272, 68526, 5184, 576, 24, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 89}
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id: 1711124
{'charpoly_factorization': [[[74261306250000, 82179927000000, 33771511440000, 3825851097600, -1108724421744, -251851988448, 46505015136, 17567743536, 808836588, -209491920, -11979792, 1944936, 155412, -5616, -420, 12, 1], 1]], 'hecke_orbit_code': 31525953339393134, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 8, 'label': '1134.2.l.h', 'level': 1134, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 194308000
{'hecke_orbit_code': 31525953339393134, 'n': 1, 'trace_an': 16}
-
id: 194308001
{'hecke_orbit_code': 31525953339393134, 'n': 2, 'trace_an': 0}
-
id: 194308002
{'hecke_orbit_code': 31525953339393134, 'n': 3, 'trace_an': 0}
-
id: 194308003
{'hecke_orbit_code': 31525953339393134, 'n': 4, 'trace_an': -16}
-
id: 194308004
{'hecke_orbit_code': 31525953339393134, 'n': 5, 'trace_an': 0}
-
id: 194308005
{'hecke_orbit_code': 31525953339393134, 'n': 6, 'trace_an': 0}
-
id: 194308006
{'hecke_orbit_code': 31525953339393134, 'n': 7, 'trace_an': -4}
-
id: 194308007
{'hecke_orbit_code': 31525953339393134, 'n': 8, 'trace_an': 0}
-
id: 194308008
{'hecke_orbit_code': 31525953339393134, 'n': 9, 'trace_an': 0}
-
id: 194308009
{'hecke_orbit_code': 31525953339393134, 'n': 10, 'trace_an': 0}
-
id: 194308010
{'hecke_orbit_code': 31525953339393134, 'n': 11, 'trace_an': 12}
-
id: 194308011
{'hecke_orbit_code': 31525953339393134, 'n': 12, 'trace_an': 0}
-
id: 194308012
{'hecke_orbit_code': 31525953339393134, 'n': 13, 'trace_an': -12}
-
id: 194308013
{'hecke_orbit_code': 31525953339393134, 'n': 14, 'trace_an': 0}
-
id: 194308014
{'hecke_orbit_code': 31525953339393134, 'n': 15, 'trace_an': 0}
-
id: 194308015
{'hecke_orbit_code': 31525953339393134, 'n': 16, 'trace_an': 16}
-
id: 194308016
{'hecke_orbit_code': 31525953339393134, 'n': 17, 'trace_an': 0}
-
id: 194308017
{'hecke_orbit_code': 31525953339393134, 'n': 18, 'trace_an': 0}
-
id: 194308018
{'hecke_orbit_code': 31525953339393134, 'n': 19, 'trace_an': 0}
-
id: 194308019
{'hecke_orbit_code': 31525953339393134, 'n': 20, 'trace_an': 0}
-
id: 194308020
{'hecke_orbit_code': 31525953339393134, 'n': 21, 'trace_an': 0}
-
id: 194308021
{'hecke_orbit_code': 31525953339393134, 'n': 22, 'trace_an': 0}
-
id: 194308022
{'hecke_orbit_code': 31525953339393134, 'n': 23, 'trace_an': 12}
-
id: 194308023
{'hecke_orbit_code': 31525953339393134, 'n': 24, 'trace_an': 0}
-
id: 194308024
{'hecke_orbit_code': 31525953339393134, 'n': 25, 'trace_an': -8}
-
id: 194308025
{'hecke_orbit_code': 31525953339393134, 'n': 26, 'trace_an': 0}
-
id: 194308026
{'hecke_orbit_code': 31525953339393134, 'n': 27, 'trace_an': 0}
-
id: 194308027
{'hecke_orbit_code': 31525953339393134, 'n': 28, 'trace_an': 4}
-
id: 194308028
{'hecke_orbit_code': 31525953339393134, 'n': 29, 'trace_an': -48}
-
id: 194308029
{'hecke_orbit_code': 31525953339393134, 'n': 30, 'trace_an': 0}
-
id: 194308030
{'hecke_orbit_code': 31525953339393134, 'n': 31, 'trace_an': 0}
-
id: 194308031
{'hecke_orbit_code': 31525953339393134, 'n': 32, 'trace_an': 0}
-
id: 194308032
{'hecke_orbit_code': 31525953339393134, 'n': 33, 'trace_an': 0}
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