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mf_newforms • Show schema
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{'Nk2': 1472, 'analytic_conductor': 2.9384947943831183, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 16, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 4, 'char_parity': 1, 'char_values': [368, 4, [47, 277, 97], [4, 3, 4]], 'cm_discs': [], 'conrey_index': 93, 'dim': 12, 'field_disc': 221124989353984, 'field_disc_factorization': [[2, 16], [29, 2], [2003, 2]], 'field_poly': [64, -64, -32, 16, 48, -16, -14, -8, 12, 2, -2, -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': [[3, [25, -110, 242, -234, 119, -32, 84, -76, 35, -2, 2, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007817763586416, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 16, 5, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '368.2.j.c', 'level': 368, '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, 23], 'level_radical': 46, 'minimal_twist': '368.2.j.c', 'nf_label': '12.0.221124989353984.1', 'prim_orbit_index': 5, 'qexp_display': 'q-\\beta _{5}q^{2}+\\beta _{10}q^{3}+(\\beta _{2}-\\beta _{4}-\\beta _{5}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '368.2.j', 'trace_display': [2, 2, -4, 0], 'trace_hash': 1333789371657523173, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.045', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.390', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1472, 'analytic_conductor': 2.9384947943831183, 'char_conductor': 16, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 4, 'char_parity': 1, 'char_values': [368, 4, [47, 277, 97], [4, 3, 4]], 'conrey_index': 93, 'cusp_dim': 92, 'dim': 88, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 618508845424, 'hecke_orbit_dims': [2, 4, 12, 24, 46], 'label': '368.2.j', 'level': 368, '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, 23], 'level_radical': 46, 'mf_dim': 100, 'mf_new_dim': 88, 'num_forms': 5, 'prim_orbit_index': 5, 'relative_dim': 44, 'sturm_bound': 96, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [88, 0, 0, 0, 0, -6, 0, -12, 0, -12, 0, 10, 0, 16, 0, 0, 0, -20, 0, -12, 0, -8, 0, -12, 0, -32, 12, -24, 0, -4, 24, 0, 0, 20, 24, 46, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 41136039
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 93, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007817763586416, 'source_is_minimal': True, 'source_label': '368.2.j.c.93.2', 'source_level': 368, 'target_conrey_index': 93, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007817763586416, 'target_is_minimal': True, 'target_label': '368.2.j.c.93.2', 'target_level': 368, 'twist_class_label': '368.2.j.c.93.2', 'twist_class_level': 368, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41136040
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 93, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007817763586416, 'source_is_minimal': True, 'source_label': '368.2.j.c.93.2', 'source_level': 368, 'target_conrey_index': 1105, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007817763587520, 'target_is_minimal': False, 'target_label': '1472.2.j.c.1105.1', 'target_level': 1472, 'twist_class_label': '368.2.j.c.93.2', 'twist_class_level': 368, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41136041
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 93, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007817763586416, 'source_is_minimal': True, 'source_label': '368.2.j.c.93.2', 'source_level': 368, 'target_conrey_index': 277, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007817763586416, 'target_is_minimal': True, 'target_label': '368.2.j.c.277.2', 'target_level': 368, 'twist_class_label': '368.2.j.c.93.2', 'twist_class_level': 368, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 41136042
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 93, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007817763586416, 'source_is_minimal': True, 'source_label': '368.2.j.c.93.2', 'source_level': 368, 'target_conrey_index': 369, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007817763587520, 'target_is_minimal': False, 'target_label': '1472.2.j.c.369.1', 'target_level': 1472, 'twist_class_label': '368.2.j.c.93.2', 'twist_class_level': 368, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 784700
{'charpoly_factorization': [[[64, -64, 32, 0, -16, 16, -12, 8, -4, 0, 2, -2, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 2}
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id: 784701
{'charpoly_factorization': [[[25, -110, 242, -234, 119, -32, 84, -76, 35, -2, 2, -2, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 3}
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id: 784702
{'charpoly_factorization': [[[24964, -24648, 12168, 8304, 6676, -3088, 1176, 588, 172, -20, 8, 4, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 5}
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id: 784703
{'charpoly_factorization': [[[4, 0, 112, 0, 280, 0, 240, 0, 92, 0, 16, 0, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 7}
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id: 784704
{'charpoly_factorization': [[[14884, 142496, 682112, 321248, 75896, 1784, 5696, 2688, 636, 8, 8, 4, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 11}
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id: 784705
{'charpoly_factorization': [[[25, 790, 12482, -6946, 1679, -3772, 7452, -6092, 2903, -858, 162, -18, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 13}
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id: 784706
{'charpoly_factorization': [[[202, 544, 314, -94, -38, 4, 1], 2]], 'hecke_orbit_code': 9007817763586416, 'p': 17}
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id: 784707
{'charpoly_factorization': [[[576, -3072, 8192, 3712, 1456, -2048, 2176, 320, 12, 0, 32, 8, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 19}
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id: 784708
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 9007817763586416, 'p': 23}
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id: 784709
{'charpoly_factorization': [[[16641, -209238, 1315442, 99470, 30991, -181852, 134044, -39980, 6447, -366, 2, -2, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 29}
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id: 784710
{'charpoly_factorization': [[[-3727, -1852, 735, 330, -43, -10, 1], 2]], 'hecke_orbit_code': 9007817763586416, 'p': 31}
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id: 784711
{'charpoly_factorization': [[[30140100, 42185160, 29521928, 10615440, 2044620, 124856, 41464, 15996, 3256, 84, 8, 4, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 37}
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id: 784712
{'charpoly_factorization': [[[4995225, 0, 10998886, 0, 4570935, 0, 595500, 0, 19391, 0, 238, 0, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 41}
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id: 784713
{'charpoly_factorization': [[[2437989376, 1305106432, 349325312, 4624896, 245504, 1413504, 725888, -38272, 208, -64, 200, -20, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 43}
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id: 784714
{'charpoly_factorization': [[[-51211, 21398, 3751, -1050, -135, 8, 1], 2]], 'hecke_orbit_code': 9007817763586416, 'p': 47}
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id: 784715
{'charpoly_factorization': [[[10123579456, 8482331264, 3553582208, 470622464, 34022576, 2821952, 1360928, 173472, 11292, 248, 128, 16, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 53}
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id: 784716
{'charpoly_factorization': [[[17761425984, 1974557952, 109756928, -52859520, 58037040, 4105088, 176384, -50368, 16684, 784, 32, -8, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 59}
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id: 784717
{'charpoly_factorization': [[[2304, -26112, 147968, -394368, 618816, -554624, 295328, -76928, 9328, 296, 72, -12, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 61}
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id: 784718
{'charpoly_factorization': [[[438244, 4575744, 23887872, -45426368, 42266784, -4816040, 175616, 80928, 20816, -192, 8, 4, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 67}
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id: 784719
{'charpoly_factorization': [[[138180025, 0, 82719354, 0, 13461207, 0, 834500, 0, 22715, 0, 266, 0, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 71}
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id: 784720
{'charpoly_factorization': [[[1176284209, 0, 2411489670, 0, 184015279, 0, 5358420, 0, 72895, 0, 454, 0, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 73}
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id: 784721
{'charpoly_factorization': [[[-120, -328, 36, 336, -106, 2, 1], 2]], 'hecke_orbit_code': 9007817763586416, 'p': 79}
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id: 784722
{'charpoly_factorization': [[[1492276900, -3743710560, 4695967872, -3109929088, 1216173216, -245678248, 29798336, -2078544, 88544, -3552, 392, -28, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 83}
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id: 784723
{'charpoly_factorization': [[[3846976576, 0, 1005263104, 0, 88971440, 0, 3492352, 0, 61996, 0, 432, 0, 1], 1]], 'hecke_orbit_code': 9007817763586416, 'p': 89}
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id: 784724
{'charpoly_factorization': [[[-123118, -48968, 6686, 1882, -136, -18, 1], 2]], 'hecke_orbit_code': 9007817763586416, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 3, 'label': '368.2.j.c', 'level': 368, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31265191
{'hecke_orbit_code': 9007817763586416, 'n': 1, 'trace_an': 12}
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id: 31265192
{'hecke_orbit_code': 9007817763586416, 'n': 2, 'trace_an': 2}
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id: 31265193
{'hecke_orbit_code': 9007817763586416, 'n': 3, 'trace_an': 2}
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id: 31265194
{'hecke_orbit_code': 9007817763586416, 'n': 4, 'trace_an': 0}
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id: 31265195
{'hecke_orbit_code': 9007817763586416, 'n': 5, 'trace_an': -4}
-
id: 31265196
{'hecke_orbit_code': 9007817763586416, 'n': 6, 'trace_an': 0}
-
id: 31265197
{'hecke_orbit_code': 9007817763586416, 'n': 7, 'trace_an': 0}
-
id: 31265198
{'hecke_orbit_code': 9007817763586416, 'n': 8, 'trace_an': -4}
-
id: 31265199
{'hecke_orbit_code': 9007817763586416, 'n': 9, 'trace_an': 0}
-
id: 31265200
{'hecke_orbit_code': 9007817763586416, 'n': 10, 'trace_an': -6}
-
id: 31265201
{'hecke_orbit_code': 9007817763586416, 'n': 11, 'trace_an': -4}
-
id: 31265202
{'hecke_orbit_code': 9007817763586416, 'n': 12, 'trace_an': -8}
-
id: 31265203
{'hecke_orbit_code': 9007817763586416, 'n': 13, 'trace_an': 18}
-
id: 31265204
{'hecke_orbit_code': 9007817763586416, 'n': 14, 'trace_an': -2}
-
id: 31265205
{'hecke_orbit_code': 9007817763586416, 'n': 15, 'trace_an': 0}
-
id: 31265206
{'hecke_orbit_code': 9007817763586416, 'n': 16, 'trace_an': 8}
-
id: 31265207
{'hecke_orbit_code': 9007817763586416, 'n': 17, 'trace_an': -8}
-
id: 31265208
{'hecke_orbit_code': 9007817763586416, 'n': 18, 'trace_an': -4}
-
id: 31265209
{'hecke_orbit_code': 9007817763586416, 'n': 19, 'trace_an': -8}
-
id: 31265210
{'hecke_orbit_code': 9007817763586416, 'n': 20, 'trace_an': -32}
-
id: 31265211
{'hecke_orbit_code': 9007817763586416, 'n': 21, 'trace_an': 8}
-
id: 31265212
{'hecke_orbit_code': 9007817763586416, 'n': 22, 'trace_an': -34}
-
id: 31265213
{'hecke_orbit_code': 9007817763586416, 'n': 23, 'trace_an': 0}
-
id: 31265214
{'hecke_orbit_code': 9007817763586416, 'n': 24, 'trace_an': 12}
-
id: 31265215
{'hecke_orbit_code': 9007817763586416, 'n': 25, 'trace_an': 0}
-
id: 31265216
{'hecke_orbit_code': 9007817763586416, 'n': 26, 'trace_an': -14}
-
id: 31265217
{'hecke_orbit_code': 9007817763586416, 'n': 27, 'trace_an': 14}
-
id: 31265218
{'hecke_orbit_code': 9007817763586416, 'n': 28, 'trace_an': 12}
-
id: 31265219
{'hecke_orbit_code': 9007817763586416, 'n': 29, 'trace_an': 2}
-
id: 31265220
{'hecke_orbit_code': 9007817763586416, 'n': 30, 'trace_an': -30}
-
id: 31265221
{'hecke_orbit_code': 9007817763586416, 'n': 31, 'trace_an': 20}
-
id: 31265222
{'hecke_orbit_code': 9007817763586416, 'n': 32, 'trace_an': -8}
-
id: 31265223
{'hecke_orbit_code': 9007817763586416, 'n': 33, 'trace_an': -36}
-
id: 31265224
{'hecke_orbit_code': 9007817763586416, 'n': 34, 'trace_an': 10}
-
id: 31265225
{'hecke_orbit_code': 9007817763586416, 'n': 35, 'trace_an': 4}
-
id: 31265226
{'hecke_orbit_code': 9007817763586416, 'n': 36, 'trace_an': 4}
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id: 31265227
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id: 31265429
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id: 31265430
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id: 31265431
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id: 31265432
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id: 31265433
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id: 31265434
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id: 31265435
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id: 31265436
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id: 31265437
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id: 31265438
{'hecke_orbit_code': 9007817763586416, 'n': 937, 'trace_an': 0}
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id: 31265439
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id: 31265440
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id: 31265441
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id: 31265442
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id: 31265443
{'hecke_orbit_code': 9007817763586416, 'n': 967, 'trace_an': 0}
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id: 31265444
{'hecke_orbit_code': 9007817763586416, 'n': 971, 'trace_an': 132}
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id: 31265445
{'hecke_orbit_code': 9007817763586416, 'n': 977, 'trace_an': 60}
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id: 31265446
{'hecke_orbit_code': 9007817763586416, 'n': 983, 'trace_an': 0}
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id: 31265447
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id: 31265448
{'hecke_orbit_code': 9007817763586416, 'n': 997, 'trace_an': -28}