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mf_newforms • Show schema
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{'Nk2': 3420, 'analytic_conductor': 6.827209372819473, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [855, 3, [191, 172, 496], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 406, 'dim': 10, 'field_disc': -232208922080448, 'field_disc_factorization': [[-1, 1], [2, 6], [3, 9], [13577, 2]], 'field_poly': [16, -52, 189, 1, 125, -18, 56, -2, 9, -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, [16, 52, 189, -1, 125, 18, 56, 2, 9, 1, 1]], [7, [24, 72, 36, -23, -2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029484247286615, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': 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mf_hecke_cc • Show schema
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'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': -0.25175115286876804, 'embedding_root_real': 0.14534859587758187, 'hecke_orbit': 9, 'hecke_orbit_code': 36029484247286615, 'label': '855.2.k.i.406.3', 'level': 855, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 3420, 'analytic_conductor': 6.827209372819473, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [855, 3, [191, 172, 496], [3, 3, 1]], 'conrey_index': 406, 'cusp_dim': 224, 'dim': 64, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 687228322647, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 6, 8, 10, 12, 12], 'label': '855.2.k', 'level': 855, '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, 5, 19], 'level_radical': 285, 'mf_dim': 256, 'mf_new_dim': 64, 'num_forms': 11, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 240, 'trace_bound': 5, 'trace_display': [2, 0, 0, 4], 'traces': [64, 2, 0, -30, 0, 0, 4, -12, 0, -4, 0, 0, -10, -6, 0, -26, 18, 0, -10, 0, 0, 6, -6, 0, -32, -36, 0, -24, -6, 0, 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118, 0, 552, -188, 0, -32, 314, 0, 286, -192, 0, 74, 10, 0, 36], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46690157
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 406, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36029484247286615, 'source_is_minimal': False, 'source_label': '855.2.k.i.406.3', 'source_level': 855, 'target_conrey_index': 406, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029484247286615, 'target_is_minimal': False, 'target_label': '855.2.k.i.406.3', 'target_level': 855, 'twist_class_label': '285.2.i.f.106.3', 'twist_class_level': 285, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46690158
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 406, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36029484247286615, 'source_is_minimal': False, 'source_label': '855.2.k.i.406.3', 'source_level': 855, 'target_conrey_index': 121, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518547926221085, 'target_is_minimal': True, 'target_label': '285.2.i.f.121.3', 'target_level': 285, 'twist_class_label': '285.2.i.f.106.3', 'twist_class_level': 285, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46690159
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 406, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36029484247286615, 'source_is_minimal': False, 'source_label': '855.2.k.i.406.3', 'source_level': 855, 'target_conrey_index': 676, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029484247286615, 'target_is_minimal': False, 'target_label': '855.2.k.i.676.3', 'target_level': 855, 'twist_class_label': '285.2.i.f.106.3', 'twist_class_level': 285, 'twisting_char_label': '19.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46690160
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 406, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36029484247286615, 'source_is_minimal': False, 'source_label': '855.2.k.i.406.3', 'source_level': 855, 'target_conrey_index': 106, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518547926221085, 'target_is_minimal': True, 'target_label': '285.2.i.f.106.3', 'target_level': 285, 'twist_class_label': '285.2.i.f.106.3', 'twist_class_level': 285, 'twisting_char_label': '57.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46690161
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 406, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36029484247286615, 'source_is_minimal': False, 'source_label': '855.2.k.i.406.3', 'source_level': 855, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 108086391090451751, 'target_is_minimal': False, 'target_label': '5415.2.a.y.1.3', 'target_level': 5415, 'twist_class_label': '285.2.i.f.106.3', 'twist_class_level': 285, 'twisting_char_label': '57.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 46690162
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 406, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36029484247286615, 'source_is_minimal': False, 'source_label': '855.2.k.i.406.3', 'source_level': 855, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 112589990717822247, 'target_is_minimal': False, 'target_label': '5415.2.a.z.1.3', 'target_level': 5415, 'twist_class_label': '285.2.i.f.106.3', 'twist_class_level': 285, 'twisting_char_label': '57.50', 'twisting_conrey_index': 50, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1415450
{'charpoly_factorization': [[[16, 52, 189, -1, 125, 18, 56, 2, 9, 1, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 2}
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id: 1415451
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 36029484247286615, 'p': 3}
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id: 1415452
{'charpoly_factorization': [[[1, -1, 1], 5]], 'hecke_orbit_code': 36029484247286615, 'p': 5}
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id: 1415453
{'charpoly_factorization': [[[24, 72, 36, -23, -2, 1], 2]], 'hecke_orbit_code': 36029484247286615, 'p': 7}
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id: 1415454
{'charpoly_factorization': [[[992, 256, -148, -32, 5, 1], 2]], 'hecke_orbit_code': 36029484247286615, 'p': 11}
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id: 1415455
{'charpoly_factorization': [[[16384, 5632, 10896, -2824, 3920, -762, 605, -148, 63, -8, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 13}
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id: 1415456
{'charpoly_factorization': [[[25240576, -281344, 2434752, -324576, 185976, -20844, 6009, -618, 135, -10, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 17}
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id: 1415457
{'charpoly_factorization': [[[2476099, -651605, 123462, 7581, 9519, -2376, 501, 21, 18, -5, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 19}
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id: 1415458
{'charpoly_factorization': [[[147456, 258048, 460800, 36096, 45504, -672, 4000, -88, 72, 2, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 23}
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id: 1415459
{'charpoly_factorization': [[[9048064, 962560, 1341696, 241152, 168528, 24072, 6408, 390, 111, 7, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 29}
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id: 1415460
{'charpoly_factorization': [[[117, 189, -222, -30, 9, 1], 2]], 'hecke_orbit_code': 36029484247286615, 'p': 31}
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id: 1415461
{'charpoly_factorization': [[[-9024, 1920, 472, -87, -6, 1], 2]], 'hecke_orbit_code': 36029484247286615, 'p': 37}
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id: 1415462
{'charpoly_factorization': [[[36864, 36864, 56832, -10752, 13120, -2304, 2016, -496, 120, -12, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 41}
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id: 1415463
{'charpoly_factorization': [[[16384, 5632, 10896, -2824, 3920, -762, 605, -148, 63, -8, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 43}
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id: 1415464
{'charpoly_factorization': [[[4562496, 7920288, 12215616, 3315960, 1095664, -63222, 24009, -518, 189, -6, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 47}
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id: 1415465
{'charpoly_factorization': [[[18731584, -2614112, 3004896, -453880, 394856, -52614, 13301, -460, 159, -8, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 53}
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id: 1415466
{'charpoly_factorization': [[[20647936, -21665792, 21225216, -3182464, 953936, 44352, 26540, 488, 177, 1, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 59}
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id: 1415467
{'charpoly_factorization': [[[591267856, 102224464, 46536708, 3423188, 1966049, 170811, 34034, 1163, 222, 7, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 61}
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id: 1415468
{'charpoly_factorization': [[[70157376, 43220160, 48738240, -16419984, 5990616, -593736, 70009, -2942, 363, -14, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 67}
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id: 1415469
{'charpoly_factorization': [[[37161216, 13021056, 6805824, 1920576, 774208, 190944, 41484, 5258, 507, 27, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 71}
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id: 1415470
{'charpoly_factorization': [[[2135179264, 1035983360, 375861648, 67157856, 10098564, 952248, 97485, 7074, 615, 26, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 73}
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id: 1415471
{'charpoly_factorization': [[[11935125504, 4554330624, 1214482176, 190768872, 23757177, 2004831, 153562, 8639, 570, 23, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 79}
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id: 1415472
{'charpoly_factorization': [[[2304, -2304, 660, -21, -12, 1], 2]], 'hecke_orbit_code': 36029484247286615, 'p': 83}
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id: 1415473
{'charpoly_factorization': [[[126157824, 25878528, 15147648, 946944, 970416, 85392, 23004, 564, 213, 9, 1], 1]], 'hecke_orbit_code': 36029484247286615, 'p': 89}
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id: 1415474
{'charpoly_factorization': [[[4, 2, 1], 5]], 'hecke_orbit_code': 36029484247286615, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 9, 'label': '855.2.k.i', 'level': 855, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 52185121
{'hecke_orbit_code': 36029484247286615, 'n': 1, 'trace_an': 10}
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id: 52185122
{'hecke_orbit_code': 36029484247286615, 'n': 2, 'trace_an': -1}
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id: 52185123
{'hecke_orbit_code': 36029484247286615, 'n': 3, 'trace_an': 0}
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id: 52185124
{'hecke_orbit_code': 36029484247286615, 'n': 4, 'trace_an': -7}
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id: 52185125
{'hecke_orbit_code': 36029484247286615, 'n': 5, 'trace_an': 5}
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id: 52185126
{'hecke_orbit_code': 36029484247286615, 'n': 6, 'trace_an': 0}
-
id: 52185127
{'hecke_orbit_code': 36029484247286615, 'n': 7, 'trace_an': 4}
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id: 52185128
{'hecke_orbit_code': 36029484247286615, 'n': 8, 'trace_an': 12}
-
id: 52185129
{'hecke_orbit_code': 36029484247286615, 'n': 9, 'trace_an': 0}
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id: 52185130
{'hecke_orbit_code': 36029484247286615, 'n': 10, 'trace_an': 1}
-
id: 52185131
{'hecke_orbit_code': 36029484247286615, 'n': 11, 'trace_an': -10}
-
id: 52185132
{'hecke_orbit_code': 36029484247286615, 'n': 12, 'trace_an': 0}
-
id: 52185133
{'hecke_orbit_code': 36029484247286615, 'n': 13, 'trace_an': 8}
-
id: 52185134
{'hecke_orbit_code': 36029484247286615, 'n': 14, 'trace_an': -4}
-
id: 52185135
{'hecke_orbit_code': 36029484247286615, 'n': 15, 'trace_an': 0}
-
id: 52185136
{'hecke_orbit_code': 36029484247286615, 'n': 16, 'trace_an': -7}
-
id: 52185137
{'hecke_orbit_code': 36029484247286615, 'n': 17, 'trace_an': 10}
-
id: 52185138
{'hecke_orbit_code': 36029484247286615, 'n': 18, 'trace_an': 0}
-
id: 52185139
{'hecke_orbit_code': 36029484247286615, 'n': 19, 'trace_an': 5}
-
id: 52185140
{'hecke_orbit_code': 36029484247286615, 'n': 20, 'trace_an': -14}
-
id: 52185141
{'hecke_orbit_code': 36029484247286615, 'n': 21, 'trace_an': 0}
-
id: 52185142
{'hecke_orbit_code': 36029484247286615, 'n': 22, 'trace_an': -2}
-
id: 52185143
{'hecke_orbit_code': 36029484247286615, 'n': 23, 'trace_an': -2}
-
id: 52185144
{'hecke_orbit_code': 36029484247286615, 'n': 24, 'trace_an': 0}
-
id: 52185145
{'hecke_orbit_code': 36029484247286615, 'n': 25, 'trace_an': -5}
-
id: 52185146
{'hecke_orbit_code': 36029484247286615, 'n': 26, 'trace_an': 4}
-
id: 52185147
{'hecke_orbit_code': 36029484247286615, 'n': 27, 'trace_an': 0}
-
id: 52185148
{'hecke_orbit_code': 36029484247286615, 'n': 28, 'trace_an': -10}
-
id: 52185149
{'hecke_orbit_code': 36029484247286615, 'n': 29, 'trace_an': -7}
-
id: 52185150
{'hecke_orbit_code': 36029484247286615, 'n': 30, 'trace_an': 0}
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id: 52185151
{'hecke_orbit_code': 36029484247286615, 'n': 31, 'trace_an': -18}
-
id: 52185152
{'hecke_orbit_code': 36029484247286615, 'n': 32, 'trace_an': -23}
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