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mf_newforms • Show schema
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{'Nk2': 512, 'analytic_conductor': 2.4990802038729742, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [8, 2, [7, 5], [2, 1]], 'cm_discs': [], 'conrey_index': 5, 'conrey_indexes': [5], 'dim': 6, 'field_disc': -385925773754399, 'field_disc_factorization': [[-1, 1], [239, 1], [677, 2], [1877, 2]], 'field_poly': [32768, -3072, -320, -24, -10, -3, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 68853694472, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 32768, 'hecke_ring_index_factorization': [[2, 15]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8.8.b.a', 'level': 8, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'minimal_twist': '8.8.b.a', 'prim_orbit_index': 2, 'qexp_display': 'q+(1+\\beta _{1})q^{2}+\\beta _{4}q^{3}+(19+\\beta _{1}+\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '7.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8.8.b', 'trace_display': [6, 0, 0, -688], 'trace_hash': 1021484256660776700, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.453', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '152.589', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6076.668', 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'weight_parity': 1}
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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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mf_twists_cc • Show schema
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id: 691623
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68853694472, 'source_is_minimal': True, 'source_label': '8.8.b.a.5.1', 'source_level': 8, 'target_conrey_index': 5, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68853694472, 'target_is_minimal': True, 'target_label': '8.8.b.a.5.1', 'target_level': 8, 'twist_class_label': '8.8.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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id: 691624
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68853694472, 'source_is_minimal': True, 'source_label': '8.8.b.a.5.1', 'source_level': 8, 'target_conrey_index': 37, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503805920018504, 'target_is_minimal': False, 'target_label': '72.8.d.b.37.6', 'target_level': 72, 'twist_class_label': '8.8.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 691625
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68853694472, 'source_is_minimal': True, 'source_label': '8.8.b.a.5.1', 'source_level': 8, 'target_conrey_index': 17, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68853694496, 'target_is_minimal': False, 'target_label': '32.8.b.a.17.2', 'target_level': 32, 'twist_class_label': '8.8.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 691626
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68853694472, 'source_is_minimal': True, 'source_label': '8.8.b.a.5.1', 'source_level': 8, 'target_conrey_index': 17, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 68853694496, 'target_is_minimal': False, 'target_label': '32.8.b.a.17.5', 'target_level': 32, 'twist_class_label': '8.8.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 691627
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68853694472, 'source_is_minimal': True, 'source_label': '8.8.b.a.5.1', 'source_level': 8, 'target_conrey_index': 5, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68853694472, 'target_is_minimal': True, 'target_label': '8.8.b.a.5.2', 'target_level': 8, 'twist_class_label': '8.8.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 8}
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id: 691628
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68853694472, 'source_is_minimal': True, 'source_label': '8.8.b.a.5.1', 'source_level': 8, 'target_conrey_index': 145, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805920018720, 'target_is_minimal': False, 'target_label': '288.8.d.b.145.2', 'target_level': 288, 'twist_class_label': '8.8.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 8}
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id: 691629
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68853694472, 'source_is_minimal': True, 'source_label': '8.8.b.a.5.1', 'source_level': 8, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 72057594172145920, 'target_is_minimal': False, 'target_label': '256.8.a.q.1.5', 'target_level': 256, 'twist_class_label': '8.8.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 691630
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68853694472, 'source_is_minimal': True, 'source_label': '8.8.b.a.5.1', 'source_level': 8, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 76561193799516416, 'target_is_minimal': False, 'target_label': '256.8.a.r.1.5', 'target_level': 256, 'twist_class_label': '8.8.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 8}
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id: 691631
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68853694472, 'source_is_minimal': True, 'source_label': '8.8.b.a.5.1', 'source_level': 8, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594172145920, 'target_is_minimal': False, 'target_label': '256.8.a.q.1.2', 'target_level': 256, 'twist_class_label': '8.8.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 8}
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id: 691632
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68853694472, 'source_is_minimal': True, 'source_label': '8.8.b.a.5.1', 'source_level': 8, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193799516416, 'target_is_minimal': False, 'target_label': '256.8.a.r.1.2', 'target_level': 256, 'twist_class_label': '8.8.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 8}
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id: 691633
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68853694472, 'source_is_minimal': True, 'source_label': '8.8.b.a.5.1', 'source_level': 8, 'target_conrey_index': 37, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4503805920018504, 'target_is_minimal': False, 'target_label': '72.8.d.b.37.5', 'target_level': 72, 'twist_class_label': '8.8.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 8}
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id: 691634
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68853694472, 'source_is_minimal': True, 'source_label': '8.8.b.a.5.1', 'source_level': 8, 'target_conrey_index': 145, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4503805920018720, 'target_is_minimal': False, 'target_label': '288.8.d.b.145.5', 'target_level': 288, 'twist_class_label': '8.8.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 31325
{'charpoly_factorization': [[[2097152, -98304, -5120, -192, -40, -6, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 2}
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id: 31326
{'charpoly_factorization': [[[4610229696, 0, 13205808, 0, 8020, 0, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 3}
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id: 31327
{'charpoly_factorization': [[[412405245440000, 0, 19577926400, 0, 254032, 0, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 5}
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id: 31328
{'charpoly_factorization': [[[-441929216, -1048384, 344, 1], 2]], 'hecke_orbit_code': 68853694472, 'p': 7}
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id: 31329
{'charpoly_factorization': [[[2149855992230386161600, 0, 743173813625904, 0, 52294004, 0, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 11}
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id: 31330
{'charpoly_factorization': [[[24487251428999370240000, 0, 5821641670624000, 0, 171080144, 0, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 13}
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id: 31331
{'charpoly_factorization': [[[-9112197964104, -907714996, -726, 1], 2]], 'hecke_orbit_code': 68853694472, 'p': 17}
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id: 31332
{'charpoly_factorization': [[[475867300669609431337619904, 0, 2904356007201913648, 0, 3360814100, 0, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 19}
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id: 31333
{'charpoly_factorization': [[[2134822184448, -505954624, 648, 1], 2]], 'hecke_orbit_code': 68853694472, 'p': 23}
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id: 31334
{'charpoly_factorization': [[[424205494617184221641909760000, 0, 786969033263564256000, 0, 55662621776, 0, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 29}
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id: 31335
{'charpoly_factorization': [[[1867811583459328, -34183492608, 44640, 1], 2]], 'hecke_orbit_code': 68853694472, 'p': 31}
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id: 31336
{'charpoly_factorization': [[[617992928421224147868032643723264, 0, 62693545808917922763520, 0, 490654094672, 0, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 37}
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id: 31337
{'charpoly_factorization': [[[17679961159949400, -233067695380, -260622, 1], 2]], 'hecke_orbit_code': 68853694472, 'p': 41}
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id: 31338
{'charpoly_factorization': [[[7785148142341185674388965355456, 0, 1911474156456083249200, 0, 124911737588, 0, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 43}
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id: 31339
{'charpoly_factorization': [[[15251091035959296, -49048909056, -783216, 1], 2]], 'hecke_orbit_code': 68853694472, 'p': 47}
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id: 31340
{'charpoly_factorization': [[[1206327310526039972497627084133953536, 0, 4181846884553965477356288, 0, 3916631783120, 0, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 53}
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id: 31341
{'charpoly_factorization': [[[550737065763712802555226997336378304, 0, 11119713619132481564744240, 0, 6619585104052, 0, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 59}
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id: 31342
{'charpoly_factorization': [[[1053139851314178567056917443970560000, 0, 5487833931913656286089984, 0, 4505952081744, 0, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 61}
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id: 31343
{'charpoly_factorization': [[[756734382489347558070672940185024, 0, 126799666134501803239728, 0, 1291377394260, 0, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 67}
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id: 31344
{'charpoly_factorization': [[[3841164241580155392, -9464693891904, 3798552, 1], 2]], 'hecke_orbit_code': 68853694472, 'p': 71}
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id: 31345
{'charpoly_factorization': [[[216053954068698072, -9934777446036, -1044782, 1], 2]], 'hecke_orbit_code': 68853694472, 'p': 73}
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id: 31346
{'charpoly_factorization': [[[49251461081810391040, -7783396574464, -8007952, 1], 2]], 'hecke_orbit_code': 68853694472, 'p': 79}
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id: 31347
{'charpoly_factorization': [[[63652853266017468506124209929689530816, 0, 110669295989097617184580400, 0, 37884069033748, 0, 1], 1]], 'hecke_orbit_code': 68853694472, 'p': 83}
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id: 31348
{'charpoly_factorization': [[[1174636932800532120, -2404948069204, -1084542, 1], 2]], 'hecke_orbit_code': 68853694472, 'p': 89}
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id: 31349
{'charpoly_factorization': [[[-1662041066006495624, -57460066941556, 544154, 1], 2]], 'hecke_orbit_code': 68853694472, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '8.8.b.a', 'level': 8, 'portrait': 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', 'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
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id: 19462000
{'hecke_orbit_code': 68853694472, 'n': 1, 'trace_an': 6}
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id: 19462001
{'hecke_orbit_code': 68853694472, 'n': 2, 'trace_an': 6}
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id: 19462002
{'hecke_orbit_code': 68853694472, 'n': 3, 'trace_an': 0}
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id: 19462003
{'hecke_orbit_code': 68853694472, 'n': 4, 'trace_an': 116}
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id: 19462004
{'hecke_orbit_code': 68853694472, 'n': 5, 'trace_an': 0}
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id: 19462005
{'hecke_orbit_code': 68853694472, 'n': 6, 'trace_an': 268}
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id: 19462006
{'hecke_orbit_code': 68853694472, 'n': 7, 'trace_an': -688}
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id: 19462007
{'hecke_orbit_code': 68853694472, 'n': 8, 'trace_an': 1512}
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id: 19462008
{'hecke_orbit_code': 68853694472, 'n': 9, 'trace_an': -2918}
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id: 19462009
{'hecke_orbit_code': 68853694472, 'n': 10, 'trace_an': -1656}
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id: 19462010
{'hecke_orbit_code': 68853694472, 'n': 11, 'trace_an': 0}
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id: 19462011
{'hecke_orbit_code': 68853694472, 'n': 12, 'trace_an': -4088}
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id: 19462012
{'hecke_orbit_code': 68853694472, 'n': 13, 'trace_an': 0}
-
id: 19462013
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