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mf_newforms • Show schema
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{'Nk2': 1140, 'analytic_conductor': 2.275736457606491, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [285, 3, [191, 172, 211], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 106, '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]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518547926221085, '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': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '285.2.i.f', 'level': 285, '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': True, 'level_primes': [3, 5, 19], 'level_radical': 285, 'minimal_twist': '285.2.i.f', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{1}-\\beta _{2})q^{2}-\\beta _{4}q^{3}+(-1-\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '285.2.i', 'trace_display': [1, 5, -5, 4], 'trace_hash': 36021346136958342, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.105', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.112', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.272', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1140, 'analytic_conductor': 2.275736457606491, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [285, 3, [191, 172, 211], [3, 3, 2]], 'conrey_index': 106, 'cusp_dim': 72, 'dim': 24, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 549789368605, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 10], 'label': '285.2.i', 'level': 285, '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': True, 'level_primes': [3, 5, 19], 'level_radical': 285, 'mf_dim': 88, 'mf_new_dim': 24, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 80, 'trace_bound': 2, 'trace_display': [0, 4, 0, 8], 'traces': [24, 0, 4, -10, 0, -2, 8, 0, -12, 2, 8, -24, 0, 12, 4, -6, -12, 0, 4, 0, -8, 0, 12, 0, -12, 40, -8, 28, 0, 0, -16, 20, 8, -26, -4, -10, 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mf_twists_cc • Show schema
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id: 45269517
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 106, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518547926221085, 'source_is_minimal': True, 'source_label': '285.2.i.f.106.5', 'source_level': 285, 'target_conrey_index': 106, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518547926221085, 'target_is_minimal': True, 'target_label': '285.2.i.f.106.5', 'target_level': 285, 'twist_class_label': '285.2.i.f.106.5', 'twist_class_level': 285, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45269518
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 106, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518547926221085, 'source_is_minimal': True, 'source_label': '285.2.i.f.106.5', 'source_level': 285, 'target_conrey_index': 676, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029484247286615, 'target_is_minimal': False, 'target_label': '855.2.k.i.676.1', 'target_level': 855, 'twist_class_label': '285.2.i.f.106.5', 'twist_class_level': 285, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45269519
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 106, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518547926221085, 'source_is_minimal': True, 'source_label': '285.2.i.f.106.5', 'source_level': 285, 'target_conrey_index': 121, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518547926221085, 'target_is_minimal': True, 'target_label': '285.2.i.f.121.5', 'target_level': 285, 'twist_class_label': '285.2.i.f.106.5', 'twist_class_level': 285, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45269520
{'conductor': 19, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 106, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518547926221085, 'source_is_minimal': True, 'source_label': '285.2.i.f.106.5', 'source_level': 285, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 112589990717822247, 'target_is_minimal': False, 'target_label': '5415.2.a.z.1.5', 'target_level': 5415, 'twist_class_label': '285.2.i.f.106.5', 'twist_class_level': 285, 'twisting_char_label': '19.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45269521
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 106, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518547926221085, 'source_is_minimal': True, 'source_label': '285.2.i.f.106.5', 'source_level': 285, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090451751, 'target_is_minimal': False, 'target_label': '5415.2.a.y.1.1', 'target_level': 5415, 'twist_class_label': '285.2.i.f.106.5', 'twist_class_level': 285, 'twisting_char_label': '19.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45269522
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 106, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518547926221085, 'source_is_minimal': True, 'source_label': '285.2.i.f.106.5', 'source_level': 285, 'target_conrey_index': 406, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029484247286615, 'target_is_minimal': False, 'target_label': '855.2.k.i.406.1', 'target_level': 855, 'twist_class_label': '285.2.i.f.106.5', 'twist_class_level': 285, 'twisting_char_label': '57.26', 'twisting_conrey_index': 26, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 639950
{'charpoly_factorization': [[[16, -52, 189, 1, 125, -18, 56, -2, 9, -1, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 2}
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id: 639951
{'charpoly_factorization': [[[1, -1, 1], 5]], 'hecke_orbit_code': 22518547926221085, 'p': 3}
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id: 639952
{'charpoly_factorization': [[[1, 1, 1], 5]], 'hecke_orbit_code': 22518547926221085, 'p': 5}
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id: 639953
{'charpoly_factorization': [[[24, 72, 36, -23, -2, 1], 2]], 'hecke_orbit_code': 22518547926221085, 'p': 7}
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id: 639954
{'charpoly_factorization': [[[-992, 256, 148, -32, -5, 1], 2]], 'hecke_orbit_code': 22518547926221085, 'p': 11}
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id: 639955
{'charpoly_factorization': [[[16384, 5632, 10896, -2824, 3920, -762, 605, -148, 63, -8, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 13}
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id: 639956
{'charpoly_factorization': [[[25240576, 281344, 2434752, 324576, 185976, 20844, 6009, 618, 135, 10, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 17}
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id: 639957
{'charpoly_factorization': [[[2476099, -651605, 123462, 7581, 9519, -2376, 501, 21, 18, -5, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 19}
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id: 639958
{'charpoly_factorization': [[[147456, -258048, 460800, -36096, 45504, 672, 4000, 88, 72, -2, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 23}
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id: 639959
{'charpoly_factorization': [[[9048064, -962560, 1341696, -241152, 168528, -24072, 6408, -390, 111, -7, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 29}
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id: 639960
{'charpoly_factorization': [[[117, 189, -222, -30, 9, 1], 2]], 'hecke_orbit_code': 22518547926221085, 'p': 31}
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id: 639961
{'charpoly_factorization': [[[-9024, 1920, 472, -87, -6, 1], 2]], 'hecke_orbit_code': 22518547926221085, 'p': 37}
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id: 639962
{'charpoly_factorization': [[[36864, -36864, 56832, 10752, 13120, 2304, 2016, 496, 120, 12, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 41}
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id: 639963
{'charpoly_factorization': [[[16384, 5632, 10896, -2824, 3920, -762, 605, -148, 63, -8, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 43}
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id: 639964
{'charpoly_factorization': [[[4562496, -7920288, 12215616, -3315960, 1095664, 63222, 24009, 518, 189, 6, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 47}
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id: 639965
{'charpoly_factorization': [[[18731584, 2614112, 3004896, 453880, 394856, 52614, 13301, 460, 159, 8, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 53}
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id: 639966
{'charpoly_factorization': [[[20647936, 21665792, 21225216, 3182464, 953936, -44352, 26540, -488, 177, -1, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 59}
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id: 639967
{'charpoly_factorization': [[[591267856, 102224464, 46536708, 3423188, 1966049, 170811, 34034, 1163, 222, 7, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 61}
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id: 639968
{'charpoly_factorization': [[[70157376, 43220160, 48738240, -16419984, 5990616, -593736, 70009, -2942, 363, -14, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 67}
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id: 639969
{'charpoly_factorization': [[[37161216, -13021056, 6805824, -1920576, 774208, -190944, 41484, -5258, 507, -27, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 71}
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id: 639970
{'charpoly_factorization': [[[2135179264, 1035983360, 375861648, 67157856, 10098564, 952248, 97485, 7074, 615, 26, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 73}
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id: 639971
{'charpoly_factorization': [[[11935125504, 4554330624, 1214482176, 190768872, 23757177, 2004831, 153562, 8639, 570, 23, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 79}
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id: 639972
{'charpoly_factorization': [[[-2304, -2304, -660, -21, 12, 1], 2]], 'hecke_orbit_code': 22518547926221085, 'p': 83}
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id: 639973
{'charpoly_factorization': [[[126157824, -25878528, 15147648, -946944, 970416, -85392, 23004, -564, 213, -9, 1], 1]], 'hecke_orbit_code': 22518547926221085, 'p': 89}
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id: 639974
{'charpoly_factorization': [[[4, 2, 1], 5]], 'hecke_orbit_code': 22518547926221085, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 6, 'label': '285.2.i.f', 'level': 285, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 44589343
{'hecke_orbit_code': 22518547926221085, 'n': 1, 'trace_an': 10}
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id: 44589344
{'hecke_orbit_code': 22518547926221085, 'n': 2, 'trace_an': 1}
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id: 44589345
{'hecke_orbit_code': 22518547926221085, 'n': 3, 'trace_an': 5}
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id: 44589346
{'hecke_orbit_code': 22518547926221085, 'n': 4, 'trace_an': -7}
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id: 44589347
{'hecke_orbit_code': 22518547926221085, 'n': 5, 'trace_an': -5}
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id: 44589348
{'hecke_orbit_code': 22518547926221085, 'n': 6, 'trace_an': -1}
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id: 44589349
{'hecke_orbit_code': 22518547926221085, 'n': 7, 'trace_an': 4}
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id: 44589350
{'hecke_orbit_code': 22518547926221085, 'n': 8, 'trace_an': -12}
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id: 44589351
{'hecke_orbit_code': 22518547926221085, 'n': 9, 'trace_an': -5}
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id: 44589352
{'hecke_orbit_code': 22518547926221085, 'n': 10, 'trace_an': 1}
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id: 44589353
{'hecke_orbit_code': 22518547926221085, 'n': 11, 'trace_an': 10}
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id: 44589354
{'hecke_orbit_code': 22518547926221085, 'n': 12, 'trace_an': -14}
-
id: 44589355
{'hecke_orbit_code': 22518547926221085, 'n': 13, 'trace_an': 8}
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id: 44589356
{'hecke_orbit_code': 22518547926221085, 'n': 14, 'trace_an': 4}
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id: 44589357
{'hecke_orbit_code': 22518547926221085, 'n': 15, 'trace_an': 5}
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id: 44589358
{'hecke_orbit_code': 22518547926221085, 'n': 16, 'trace_an': -7}
-
id: 44589359
{'hecke_orbit_code': 22518547926221085, 'n': 17, 'trace_an': -10}
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id: 44589360
{'hecke_orbit_code': 22518547926221085, 'n': 18, 'trace_an': -2}
-
id: 44589361
{'hecke_orbit_code': 22518547926221085, 'n': 19, 'trace_an': 5}
-
id: 44589362
{'hecke_orbit_code': 22518547926221085, 'n': 20, 'trace_an': 14}
-
id: 44589363
{'hecke_orbit_code': 22518547926221085, 'n': 21, 'trace_an': 2}
-
id: 44589364
{'hecke_orbit_code': 22518547926221085, 'n': 22, 'trace_an': -2}
-
id: 44589365
{'hecke_orbit_code': 22518547926221085, 'n': 23, 'trace_an': 2}
-
id: 44589366
{'hecke_orbit_code': 22518547926221085, 'n': 24, 'trace_an': -6}
-
id: 44589367
{'hecke_orbit_code': 22518547926221085, 'n': 25, 'trace_an': -5}
-
id: 44589368
{'hecke_orbit_code': 22518547926221085, 'n': 26, 'trace_an': -4}
-
id: 44589369
{'hecke_orbit_code': 22518547926221085, 'n': 27, 'trace_an': -10}
-
id: 44589370
{'hecke_orbit_code': 22518547926221085, 'n': 28, 'trace_an': -10}
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id: 44589371
{'hecke_orbit_code': 22518547926221085, 'n': 29, 'trace_an': 7}
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id: 44589372
{'hecke_orbit_code': 22518547926221085, 'n': 30, 'trace_an': 2}
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id: 44589373
{'hecke_orbit_code': 22518547926221085, 'n': 31, 'trace_an': -18}
-
id: 44589374
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id: 44589600
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