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mf_newforms • Show schema
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{'Nk2': 19200, 'analytic_conductor': 79.38813164839245, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 4, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [768, 2, [511, 517, 257], [1, 2, 2]], 'cm_discs': [], 'conrey_index': 511, 'dim': 8, 'field_disc': 1481303199744, 'field_disc_factorization': [[2, 12], [3, 4], [2113, 2]], 'field_poly': [19044, -3312, -2874, -48, 439, -2, -21, -2, 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, [-79808, -18816, -80, 48, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525609792340736, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 150994944, 'hecke_ring_index_factorization': [[2, 24], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 19200, 'analytic_conductor': 79.38813164839245, 'char_conductor': 4, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [768, 2, [511, 517, 257], [1, 2, 2]], 'conrey_index': 511, 'cusp_dim': 488, 'dim': 64, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 412400747264, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 4, 4, 8, 8, 8, 16], 'label': '768.5.g', 'level': 768, '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], 'level_radical': 6, 'mf_dim': 536, 'mf_new_dim': 64, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 64, 'sturm_bound': 640, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 0, 0, 0, 0, 0, -1728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -27968, 0, 0, 0, 0, 0, 0, 0, 14976, 0, 0, 0, 0, 0, 0, 0, 8064, 0, 0, 0, 0, 0, 0, 0, -35840, 0, 0, 0, 0, 0, 0, 0, 46656, 0, 0, 0, 0, 0, 0, 0, 24960, 0, 0, 0, 0, 0, 0, 0, -896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14976, 0, 0, 0, 0, 0, 0, 0, -164288, 0, 0, 0, 0, 0, 0, 0, 38016, 0, 0, 0, 0, 0, 0, 0, 111360, 0, 0, 0, 0, 0, 0, 0, -19584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112896, 0, 0, 0, 0, 0, 0, 0, 37824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80256, 0, 0, 0, 0, 0, 0, 0, 71424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 201344, 0, 0, 0, 0, 0, 0, 0, -216000, 0, 0, 0, 0, 0, 0, 0, -149376, 0, 0, 0, 0, 0, 0, 0, 61184, 0, 0, 0, 0, 0, 0, 0, -177408, 0, 0, 0, 0, 0, 0, 0, -32640, 0, 0, 0, 0, 0, 0, 0, 370048, 0, 0, 0, 0, 0, 0, 0, -339840, 0, 0, 0, 0, 0, 0, 0, -337536, 0, 0, 0, 0, 0, 0, 0, 281280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -47232, 0, 0, 0, 0, 0, 0, 0, 679680, 0, 0, 0, 0, 0, 0, 0, 366336, 0, 0, 0, 0, 0, 0, 0, -1071360, 0, 0, 0, 0, 0, 0, 0, 756736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 881280, 0, 0, 0, 0, 0, 0, 0, -774080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 190080, 0, 0, 0, 0, 0, 0, 0, -1443328, 0, 0, 0, 0, 0, 0, 0, -288000, 0, 0, 0, 0, 0, 0, 0, -770304, 0, 0, 0, 0, 0, 0, 0, -65408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2123520, 0, 0, 0, 0, 0, 0, 0, -655488, 0, 0, 0, 0, 0, 0, 0, 755136, 0, 0, 0, 0, 0, 0, 0, -228864, 0, 0, 0, 0, 0, 0, 0, 413824, 0, 0, 0, 0, 0, 0, 0, 640512, 0, 0, 0, 0, 0, 0, 0, -1219584, 0, 0, 0, 0, 0, 0, 0, 402688, 0, 0, 0, 0, 0, 0, 0, 1056384, 0, 0, 0, 0, 0, 0, 0, 1810176, 0, 0, 0, 0, 0, 0, 0, -2876032, 0, 0, 0, 0, 0, 0, 0, -404352, 0, 0, 0, 0, 0, 0, 0, 1808640, 0, 0, 0, 0, 0, 0, 0, -1772992, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2331264, 0, 0, 0, 0, 0, 0, 0, -615296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1841664, 0, 0, 0, 0, 0, 0, 0, 1526016, 0, 0, 0, 0, 0, 0, 0, -217728, 0, 0, 0, 0, 0, 0, 0, 1173120, 0, 0, 0, 0, 0, 0, 0, 503552, 0, 0, 0, 0, 0, 0, 0, -610560, 0, 0, 0, 0, 0, 0, 0, -5280384, 0, 0, 0, 0, 0, 0, 0, 846784, 0, 0, 0, 0, 0, 0, 0, -944640, 0, 0, 0, 0, 0, 0, 0, 2782464, 0, 0, 0, 0, 0, 0, 0, 564224, 0, 0, 0, 0, 0, 0, 0, 967680, 0, 0, 0, 0, 0, 0, 0, 4007424, 0, 0, 0, 0, 0, 0, 0, 1911680, 0, 0, 0, 0, 0, 0, 0, -1080576, 0, 0, 0, 0, 0, 0, 0, -4440960, 0, 0, 0, 0, 0, 0, 0, 1421056, 0, 0, 0, 0, 0, 0, 0, 2502144, 0, 0, 0, 0, 0, 0, 0, -2545920, 0, 0, 0, 0, 0, 0, 0, -857216, 0, 0, 0, 0, 0, 0, 0, -1259712, 0, 0, 0, 0, 0, 0, 0, -1231872, 0, 0, 0, 0, 0, 0, 0, -57984, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2923008, 0, 0, 0, 0, 0, 0, 0, -2690304, 0, 0, 0, 0, 0, 0, 0, -1770624, 0, 0, 0, 0, 0, 0, 0, 1898880, 0, 0, 0, 0, 0, 0, 0, 4548352, 0, 0, 0, 0, 0, 0, 0, -673920, 0, 0, 0, 0, 0, 0, 0, 8771328, 0, 0, 0, 0, 0, 0, 0, 662528, 0, 0, 0, 0, 0, 0, 0, 1552896, 0, 0, 0, 0, 0, 0, 0, -3548928, 0, 0, 0, 0, 0, 0, 0, 1524032, 0, 0, 0, 0, 0, 0, 0, -4647168, 0, 0, 0, 0, 0, 0, 0, -5085696, 0, 0, 0, 0, 0, 0, 0, -903296, 0, 0, 0, 0, 0, 0, 0, 24192, 0, 0, 0, 0, 0, 0, 0, -725376, 0, 0, 0, 0, 0, 0, 0, 2014592, 0, 0, 0, 0, 0, 0, 0, -5080320, 0, 0, 0, 0, 0, 0, 0, 1493376, 0, 0, 0, 0, 0, 0, 0, 12563968, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3261696, 0, 0, 0, 0, 0, 0, 0, 4242048, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9416448, 0, 0, 0, 0, 0, 0, 0, 4680384, 0, 0, 0, 0, 0, 0, 0, 4840704, 0, 0, 0, 0, 0, 0, 0, -6163200, 0, 0, 0, 0, 0, 0, 0, -13046400, 0, 0, 0, 0, 0, 0, 0, 2085120, 0, 0, 0, 0, 0, 0, 0], 'weight': 5, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 46309225
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 511, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609792340736, 'source_is_minimal': False, 'source_label': '768.5.g.h.511.2', 'source_level': 768, 'target_conrey_index': 511, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525609792340736, 'target_is_minimal': False, 'target_label': '768.5.g.h.511.2', 'target_level': 768, 'twist_class_label': '384.5.b.d.319.2', 'twist_class_level': 384, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 5}
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id: 46309226
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 511, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609792340736, 'source_is_minimal': False, 'source_label': '768.5.g.h.511.2', 'source_level': 768, 'target_conrey_index': 511, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 31525609792340736, 'target_is_minimal': False, 'target_label': '768.5.g.h.511.6', 'target_level': 768, 'twist_class_label': '384.5.b.d.319.2', 'twist_class_level': 384, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 5}
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id: 46309227
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 511, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609792340736, 'source_is_minimal': False, 'source_label': '768.5.g.h.511.2', 'source_level': 768, 'target_conrey_index': 511, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532809047081728, 'target_is_minimal': False, 'target_label': '768.5.g.j.511.3', 'target_level': 768, 'twist_class_label': '384.5.b.d.319.2', 'twist_class_level': 384, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 5}
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id: 46309228
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 511, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609792340736, 'source_is_minimal': False, 'source_label': '768.5.g.h.511.2', 'source_level': 768, 'target_conrey_index': 511, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 40532809047081728, 'target_is_minimal': False, 'target_label': '768.5.g.j.511.7', 'target_level': 768, 'twist_class_label': '384.5.b.d.319.2', 'twist_class_level': 384, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 5}
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id: 46309229
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 511, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609792340736, 'source_is_minimal': False, 'source_label': '768.5.g.h.511.2', 'source_level': 768, 'target_conrey_index': 319, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13510867685474688, 'target_is_minimal': True, 'target_label': '384.5.b.d.319.7', 'target_level': 384, 'twist_class_label': '384.5.b.d.319.2', 'twist_class_level': 384, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 5}
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id: 46309230
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 511, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609792340736, 'source_is_minimal': False, 'source_label': '768.5.g.h.511.2', 'source_level': 768, 'target_conrey_index': 319, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867685474688, 'target_is_minimal': True, 'target_label': '384.5.b.d.319.2', 'target_level': 384, 'twist_class_label': '384.5.b.d.319.2', 'twist_class_level': 384, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 5}
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id: 46309231
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 511, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609792340736, 'source_is_minimal': False, 'source_label': '768.5.g.h.511.2', 'source_level': 768, 'target_conrey_index': 319, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 13510867685474688, 'target_is_minimal': True, 'target_label': '384.5.b.d.319.10', 'target_level': 384, 'twist_class_label': '384.5.b.d.319.2', 'twist_class_level': 384, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 5}
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id: 46309232
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 511, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609792340736, 'source_is_minimal': False, 'source_label': '768.5.g.h.511.2', 'source_level': 768, 'target_conrey_index': 319, 'target_dim': 16, 'target_embedding_index': 15, 'target_hecke_orbit_code': 13510867685474688, 'target_is_minimal': True, 'target_label': '384.5.b.d.319.15', 'target_level': 384, 'twist_class_label': '384.5.b.d.319.2', 'twist_class_level': 384, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 5}
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id: 46309233
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 511, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609792340736, 'source_is_minimal': False, 'source_label': '768.5.g.h.511.2', 'source_level': 768, 'target_conrey_index': 703, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 54043264331809920, 'target_is_minimal': False, 'target_label': '1152.5.b.m.703.13', 'target_level': 1152, 'twist_class_label': '384.5.b.d.319.2', 'twist_class_level': 384, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 5}
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id: 46309234
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 511, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609792340736, 'source_is_minimal': False, 'source_label': '768.5.g.h.511.2', 'source_level': 768, 'target_conrey_index': 703, 'target_dim': 16, 'target_embedding_index': 14, 'target_hecke_orbit_code': 54043264331809920, 'target_is_minimal': False, 'target_label': '1152.5.b.m.703.14', 'target_level': 1152, 'twist_class_label': '384.5.b.d.319.2', 'twist_class_level': 384, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 5}
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id: 46309235
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 511, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609792340736, 'source_is_minimal': False, 'source_label': '768.5.g.h.511.2', 'source_level': 768, 'target_conrey_index': 703, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043264331809920, 'target_is_minimal': False, 'target_label': '1152.5.b.m.703.3', 'target_level': 1152, 'twist_class_label': '384.5.b.d.319.2', 'twist_class_level': 384, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 5}
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id: 46309236
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 511, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609792340736, 'source_is_minimal': False, 'source_label': '768.5.g.h.511.2', 'source_level': 768, 'target_conrey_index': 703, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 54043264331809920, 'target_is_minimal': False, 'target_label': '1152.5.b.m.703.4', 'target_level': 1152, 'twist_class_label': '384.5.b.d.319.2', 'twist_class_level': 384, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 5}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1304825
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 31525609792340736, 'p': 2}
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id: 1304826
{'charpoly_factorization': [[[27, 0, 1], 4]], 'hecke_orbit_code': 31525609792340736, 'p': 3}
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id: 1304827
{'charpoly_factorization': [[[-79808, -18816, -80, 48, 1], 2]], 'hecke_orbit_code': 31525609792340736, 'p': 5}
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id: 1304828
{'charpoly_factorization': [[[2321893298176, 0, 58975471616, 0, 56512896, 0, 14624, 0, 1], 1]], 'hecke_orbit_code': 31525609792340736, 'p': 7}
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id: 1304829
{'charpoly_factorization': [[[47806416153542656, 0, 18180074553344, 0, 2062628352, 0, 85184, 0, 1], 1]], 'hecke_orbit_code': 31525609792340736, 'p': 11}
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id: 1304830
{'charpoly_factorization': [[[-649371392, 13415680, -71136, -80, 1], 2]], 'hecke_orbit_code': 31525609792340736, 'p': 13}
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id: 1304831
{'charpoly_factorization': [[[16654958608, 8551968, -283112, -120, 1], 2]], 'hecke_orbit_code': 31525609792340736, 'p': 17}
-
id: 1304832
{'charpoly_factorization': [[[45580429763584000000, 0, 3151024732160000, 0, 59066611200, 0, 420032, 0, 1], 1]], 'hecke_orbit_code': 31525609792340736, 'p': 19}
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id: 1304833
{'charpoly_factorization': [[[33163740583690240000, 0, 3505707779489792, 0, 77704501248, 0, 503936, 0, 1], 1]], 'hecke_orbit_code': 31525609792340736, 'p': 23}
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id: 1304834
{'charpoly_factorization': [[[-107277812672, 172699776, 657712, -1680, 1], 2]], 'hecke_orbit_code': 31525609792340736, 'p': 29}
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id: 1304835
{'charpoly_factorization': [[[7649193665943834624, 0, 9793810648811520, 0, 1148885225856, 0, 2826528, 0, 1], 1]], 'hecke_orbit_code': 31525609792340736, 'p': 31}
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id: 1304836
{'charpoly_factorization': [[[-6856321271552, 7972634368, 796896, -3536, 1], 2]], 'hecke_orbit_code': 31525609792340736, 'p': 37}
-
id: 1304837
{'charpoly_factorization': [[[4399896700944, 8276744736, -7689192, -888, 1], 2]], 'hecke_orbit_code': 31525609792340736, 'p': 41}
-
id: 1304838
{'charpoly_factorization': [[[212447210765354454286336, 0, 2279548730951254016, 0, 4919240996352, 0, 3851456, 0, 1], 1]], 'hecke_orbit_code': 31525609792340736, 'p': 43}
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id: 1304839
{'charpoly_factorization': [[[164231438327355656729788416, 0, 205526287796383383552, 0, 88660742215680, 0, 15831168, 0, 1], 1]], 'hecke_orbit_code': 31525609792340736, 'p': 47}
-
id: 1304840
{'charpoly_factorization': [[[-27085837717440, 39492233856, 1683120, -6480, 1], 2]], 'hecke_orbit_code': 31525609792340736, 'p': 53}
-
id: 1304841
{'charpoly_factorization': [[[1437611737535057761468416, 0, 239418774498099511296, 0, 140508265084416, 0, 23504064, 0, 1], 1]], 'hecke_orbit_code': 31525609792340736, 'p': 59}
-
id: 1304842
{'charpoly_factorization': [[[53143771552000, 43105657600, -10824480, -6032, 1], 2]], 'hecke_orbit_code': 31525609792340736, 'p': 61}
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id: 1304843
{'charpoly_factorization': [[[7381399943438689475635511296, 0, 6133110883504778166272, 0, 1341574438344192, 0, 85260992, 0, 1], 1]], 'hecke_orbit_code': 31525609792340736, 'p': 67}
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id: 1304844
{'charpoly_factorization': [[[4160923257802707645890560000, 0, 2521579600743789363200, 0, 514555387877376, 0, 39923840, 0, 1], 1]], 'hecke_orbit_code': 31525609792340736, 'p': 71}
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id: 1304845
{'charpoly_factorization': [[[-1214339380737776, -659258055328, -58029096, 8600, 1], 2]], 'hecke_orbit_code': 31525609792340736, 'p': 73}
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id: 1304846
{'charpoly_factorization': [[[235961056872219210128243298304, 0, 85131238904465008805888, 0, 7488480820470144, 0, 160497440, 0, 1], 1]], 'hecke_orbit_code': 31525609792340736, 'p': 79}
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id: 1304847
{'charpoly_factorization': [[[2733337110361183776207499493376, 0, 285597351165561014108160, 0, 10765261080663552, 0, 172743360, 0, 1], 1]], 'hecke_orbit_code': 31525609792340736, 'p': 83}
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id: 1304848
{'charpoly_factorization': [[[-2194078966193648, 1223764222176, -164940392, -3912, 1], 2]], 'hecke_orbit_code': 31525609792340736, 'p': 89}
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id: 1304849
{'charpoly_factorization': [[[319894196086800, -692105096160, -222362088, -1272, 1], 2]], 'hecke_orbit_code': 31525609792340736, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 8, 'label': '768.5.g.h', 'level': 768, 'portrait': 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', 'weight': 5}
-
mf_hecke_traces • Show schema
Hide schema
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id: 50017147
{'hecke_orbit_code': 31525609792340736, 'n': 1, 'trace_an': 8}
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id: 50017148
{'hecke_orbit_code': 31525609792340736, 'n': 2, 'trace_an': 0}
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id: 50017149
{'hecke_orbit_code': 31525609792340736, 'n': 3, 'trace_an': 0}
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id: 50017150
{'hecke_orbit_code': 31525609792340736, 'n': 4, 'trace_an': 0}
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id: 50017151
{'hecke_orbit_code': 31525609792340736, 'n': 5, 'trace_an': -96}
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id: 50017152
{'hecke_orbit_code': 31525609792340736, 'n': 6, 'trace_an': 0}
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id: 50017153
{'hecke_orbit_code': 31525609792340736, 'n': 7, 'trace_an': 0}
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id: 50017154
{'hecke_orbit_code': 31525609792340736, 'n': 8, 'trace_an': 0}
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id: 50017155
{'hecke_orbit_code': 31525609792340736, 'n': 9, 'trace_an': -216}
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id: 50017156
{'hecke_orbit_code': 31525609792340736, 'n': 10, 'trace_an': 0}
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id: 50017157
{'hecke_orbit_code': 31525609792340736, 'n': 11, 'trace_an': 0}
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id: 50017158
{'hecke_orbit_code': 31525609792340736, 'n': 12, 'trace_an': 0}
-
id: 50017159
{'hecke_orbit_code': 31525609792340736, 'n': 13, 'trace_an': 160}
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