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mf_newforms • Show schema
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{'Nk2': 3276, 'analytic_conductor': 6.539747925542864, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [819, 3, [92, 703, 379], [3, 2, 3]], 'cm_discs': [], 'conrey_index': 235, 'dim': 10, 'field_disc': -15028026841008, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 5], [62171, 2]], 'field_poly': [4, 16, 64, 28, 58, 18, 41, 7, 8, -1, 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': [[2, [9, 36, 195, -210, 265, -116, 81, -30, 17, -4, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525815900439347, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 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mf_hecke_cc • Show schema
Hide schema
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'hecke_orbit_code': 31525815900439347, 'label': '819.2.j.h.352.5', 'level': 819, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 3276, 'analytic_conductor': 6.539747925542864, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [819, 3, [92, 703, 379], [3, 2, 3]], 'conrey_index': 235, 'cusp_dim': 208, 'dim': 80, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 618508845875, 'hecke_orbit_dims': [2, 2, 4, 6, 6, 8, 10, 10, 12, 20], 'label': '819.2.j', 'level': 819, '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': [3, 7, 13], 'level_radical': 273, 'mf_dim': 240, 'mf_new_dim': 80, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 40, 'sturm_bound': 224, 'trace_bound': 2, 'trace_display': [-2, 0, 6, 2], 'traces': [80, -2, 0, -42, 6, 0, 2, 0, 0, 2, -2, 0, 4, -6, 0, -46, -8, 0, -8, -16, 0, -4, -4, 0, -44, 6, 0, -10, 32, 0, -12, 8, 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-288, 96, 0, 148, -124, 0, -328, 144, 0, 112, 28, 0, 12, -290, 0, 228, 412, 0, -108, -98, 0, -1352], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46338561
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 352, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 31525815900439347, 'target_is_minimal': False, 'target_label': '819.2.j.h.352.5', 'target_level': 819, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46338562
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 79, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202459, 'target_is_minimal': True, 'target_label': '91.2.e.c.79.1', 'target_level': 91, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46338563
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 166633186246268517, 'target_is_minimal': False, 'target_label': '5733.2.a.bl.1.1', 'target_level': 5733, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46338564
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 235, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 31525815900439347, 'target_is_minimal': False, 'target_label': '819.2.j.h.235.5', 'target_level': 819, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46338565
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873639013, 'target_is_minimal': False, 'target_label': '5733.2.a.bm.1.1', 'target_level': 5733, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46338566
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 625, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67555162675217840, 'target_is_minimal': False, 'target_label': '1456.2.r.p.625.2', 'target_level': 1456, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46338567
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 49539595934630525, 'target_is_minimal': False, 'target_label': '637.2.a.l.1.5', 'target_level': 637, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46338568
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 45035996307260029, 'target_is_minimal': False, 'target_label': '637.2.a.k.1.5', 'target_level': 637, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46338569
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 53, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202459, 'target_is_minimal': True, 'target_label': '91.2.e.c.53.1', 'target_level': 91, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46338570
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 508, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043470439907965, 'target_is_minimal': False, 'target_label': '637.2.e.m.508.1', 'target_level': 637, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 46338571
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 79, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043470439907965, 'target_is_minimal': False, 'target_label': '637.2.e.m.79.1', 'target_level': 637, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46338572
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 170, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518273048315039, 'target_is_minimal': False, 'target_label': '1183.2.e.f.170.5', 'target_level': 1183, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 46338573
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 417, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67555162675217840, 'target_is_minimal': False, 'target_label': '1456.2.r.p.417.2', 'target_level': 1456, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46338574
{'conductor': 273, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 508, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518273048315039, 'target_is_minimal': False, 'target_label': '1183.2.e.f.508.5', 'target_level': 1183, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '273.116', 'twisting_conrey_index': 116, 'weight': 2}
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id: 46338575
{'conductor': 273, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 220676381774717017, 'target_is_minimal': False, 'target_label': '8281.2.a.bx.1.1', 'target_level': 8281, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '273.194', 'twisting_conrey_index': 194, 'weight': 2}
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id: 46338576
{'conductor': 273, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 352, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 31525815900439347, 'source_is_minimal': False, 'source_label': '819.2.j.h.352.5', 'source_level': 819, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 216172782147346521, 'target_is_minimal': False, 'target_label': '8281.2.a.bw.1.1', 'target_level': 8281, 'twist_class_label': '91.2.e.c.53.1', 'twist_class_level': 91, 'twisting_char_label': '273.233', 'twisting_conrey_index': 233, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1367250
{'charpoly_factorization': [[[9, 36, 195, -210, 265, -116, 81, -30, 17, -4, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 2}
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id: 1367251
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 31525815900439347, 'p': 3}
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id: 1367252
{'charpoly_factorization': [[[2304, -2304, 3264, -480, 1024, -156, 217, -10, 19, -2, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 5}
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id: 1367253
{'charpoly_factorization': [[[16807, -2401, 2058, -833, 119, -204, 17, -17, 6, -1, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 7}
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id: 1367254
{'charpoly_factorization': [[[1089, -1485, 2751, -1386, 2467, -1749, 1099, -352, 85, -11, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 11}
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id: 1367255
{'charpoly_factorization': [[[-1, 1], 10]], 'hecke_orbit_code': 31525815900439347, 'p': 13}
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id: 1367256
{'charpoly_factorization': [[[184041, 39897, 54123, 9018, 11137, 1831, 921, 102, 47, 5, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 17}
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id: 1367257
{'charpoly_factorization': [[[49729, 38579, 69177, -24204, 31391, -427, 1607, 226, 95, 9, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 19}
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id: 1367258
{'charpoly_factorization': [[[144, -144, 456, -432, 1168, -1034, 713, -258, 69, -10, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 23}
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id: 1367259
{'charpoly_factorization': [[[108, 144, 19, -25, -3, 1], 2]], 'hecke_orbit_code': 31525815900439347, 'p': 29}
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id: 1367260
{'charpoly_factorization': [[[126736, 180848, 221752, 95248, 43528, 230, 3825, 162, 97, -6, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 31}
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id: 1367261
{'charpoly_factorization': [[[49505296, 4643760, 5206008, 1114512, 504800, 77014, 14373, 912, 127, 4, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 37}
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id: 1367262
{'charpoly_factorization': [[[1584, -2544, -940, -28, 14, 1], 2]], 'hecke_orbit_code': 31525815900439347, 'p': 41}
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id: 1367263
{'charpoly_factorization': [[[64, -288, 308, -72, -2, 1], 2]], 'hecke_orbit_code': 31525815900439347, 'p': 43}
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id: 1367264
{'charpoly_factorization': [[[26718561, -14530059, 8036115, -1208826, 344071, -2771, 12591, 72, 125, -1, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 47}
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id: 1367265
{'charpoly_factorization': [[[398361681, -254656881, 114371547, -27999402, 5280613, -593371, 59477, -3594, 363, -17, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 53}
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id: 1367266
{'charpoly_factorization': [[[1089, -1485, 2751, -1386, 2467, -1749, 1099, -352, 85, -11, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 59}
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id: 1367267
{'charpoly_factorization': [[[71588521, 49759141, 28105035, 6569330, 1397309, 44391, 17429, -190, 243, -11, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 61}
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id: 1367268
{'charpoly_factorization': [[[515244601, -13415109, 49379121, 8631036, 4274771, 387985, 54915, 2214, 331, 13, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 67}
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id: 1367269
{'charpoly_factorization': [[[6336, -456, -853, -25, 15, 1], 2]], 'hecke_orbit_code': 31525815900439347, 'p': 71}
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id: 1367270
{'charpoly_factorization': [[[506944, 498400, 519904, 77400, 54264, 3862, 4925, 84, 75, 0, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 73}
-
id: 1367271
{'charpoly_factorization': [[[1000000, 1500000, 2060000, 559000, 239600, -31030, 16889, -654, 141, 2, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 79}
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id: 1367272
{'charpoly_factorization': [[[7488, 2688, -308, -124, 6, 1], 2]], 'hecke_orbit_code': 31525815900439347, 'p': 83}
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id: 1367273
{'charpoly_factorization': [[[59166864, 16522416, 9952152, 893808, 783808, 98078, 24653, 768, 171, 4, 1], 1]], 'hecke_orbit_code': 31525815900439347, 'p': 89}
-
id: 1367274
{'charpoly_factorization': [[[-2384, -2240, -612, -16, 12, 1], 2]], 'hecke_orbit_code': 31525815900439347, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 8, 'label': '819.2.j.h', 'level': 819, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50095063
{'hecke_orbit_code': 31525815900439347, 'n': 1, 'trace_an': 10}
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id: 50095064
{'hecke_orbit_code': 31525815900439347, 'n': 2, 'trace_an': 4}
-
id: 50095065
{'hecke_orbit_code': 31525815900439347, 'n': 3, 'trace_an': 0}
-
id: 50095066
{'hecke_orbit_code': 31525815900439347, 'n': 4, 'trace_an': -8}
-
id: 50095067
{'hecke_orbit_code': 31525815900439347, 'n': 5, 'trace_an': 2}
-
id: 50095068
{'hecke_orbit_code': 31525815900439347, 'n': 6, 'trace_an': 0}
-
id: 50095069
{'hecke_orbit_code': 31525815900439347, 'n': 7, 'trace_an': 1}
-
id: 50095070
{'hecke_orbit_code': 31525815900439347, 'n': 8, 'trace_an': -18}
-
id: 50095071
{'hecke_orbit_code': 31525815900439347, 'n': 9, 'trace_an': 0}
-
id: 50095072
{'hecke_orbit_code': 31525815900439347, 'n': 10, 'trace_an': 5}
-
id: 50095073
{'hecke_orbit_code': 31525815900439347, 'n': 11, 'trace_an': 11}
-
id: 50095074
{'hecke_orbit_code': 31525815900439347, 'n': 12, 'trace_an': 0}
-
id: 50095075
{'hecke_orbit_code': 31525815900439347, 'n': 13, 'trace_an': 10}
-
id: 50095076
{'hecke_orbit_code': 31525815900439347, 'n': 14, 'trace_an': -10}
-
id: 50095077
{'hecke_orbit_code': 31525815900439347, 'n': 15, 'trace_an': 0}
-
id: 50095078
{'hecke_orbit_code': 31525815900439347, 'n': 16, 'trace_an': -10}
-
id: 50095079
{'hecke_orbit_code': 31525815900439347, 'n': 17, 'trace_an': -5}
-
id: 50095080
{'hecke_orbit_code': 31525815900439347, 'n': 18, 'trace_an': 0}
-
id: 50095081
{'hecke_orbit_code': 31525815900439347, 'n': 19, 'trace_an': -9}
-
id: 50095082
{'hecke_orbit_code': 31525815900439347, 'n': 20, 'trace_an': -2}
-
id: 50095083
{'hecke_orbit_code': 31525815900439347, 'n': 21, 'trace_an': 0}
-
id: 50095084
{'hecke_orbit_code': 31525815900439347, 'n': 22, 'trace_an': 16}
-
id: 50095085
{'hecke_orbit_code': 31525815900439347, 'n': 23, 'trace_an': 10}
-
id: 50095086
{'hecke_orbit_code': 31525815900439347, 'n': 24, 'trace_an': 0}
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