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mf_newforms • Show schema
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{'Nk2': 459, 'analytic_conductor': 1.3896493482375143, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 51, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': -1, 'char_values': [51, 4, [35, 37], [2, 3]], 'cm_discs': [], 'conrey_index': 38, 'dim': 20, 'field_disc': 23638138109790942261929541565841068949241856, 'field_disc_factorization': [[2, 30], [17, 2], [93423017, 4]], 'field_poly': [36864, 0, 593152, 0, 1880640, 0, 2476352, 0, 1690896, 0, 655792, 0, 149608, 0, 20120, 0, 1545, 0, 62, 0, 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': 343647715379, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 512, 'hecke_ring_index_factorization': [[2, 9]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 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mf_hecke_cc • Show schema
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'dual_conrey_index': 47, 'dual_embedding_index': 6, 'dual_embedding_m': 16, 'embedding_index': 6, 'embedding_m': 6, 'embedding_root_imag': -0.7916002902636227, 'embedding_root_real': 0.0, 'hecke_orbit': 1, 'hecke_orbit_code': 343647715379, 'label': '51.3.f.a.38.6', 'level': 51, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 459, 'analytic_conductor': 1.3896493482375143, 'char_conductor': 51, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': -1, 'char_values': [51, 4, [35, 37], [2, 3]], 'conrey_index': 38, 'cusp_dim': 20, 'dim': 20, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [], 'hecke_orbit_code': 343647715379, 'hecke_orbit_dims': [20], 'label': '51.3.f', 'level': 51, '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, 17], 'level_radical': 51, 'mf_dim': 28, 'mf_new_dim': 28, 'num_forms': 1, 'prim_orbit_index': 6, 'relative_dim': 10, 'sturm_bound': 18, 'trace_bound': 0, 'trace_display': [0, -6, 0, -4], 'traces': [20, 0, -6, 24, 0, -2, -4, 0, 0, -16, 0, -42, -12, 0, 0, -64, 0, -4, 0, 0, 88, -40, 0, -82, 0, 0, 54, -160, 0, 0, 48, 0, 264, 152, 0, 0, 32, 0, 56, 52, 0, 0, 0, 0, 64, 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-3140, 0, 4980, 32, 0, -2444, -8108, 0, 0, 3068, 0, 3500, -556, 0, 0, 2024, 0, -2128, 0, 0, 2932, -392, 0, 3280, 0, 0, 3480, -4860, 0, -4552, -4136, 0, -3400, -632, 0, 0, 916, 0, -3424, 596, 0, 0, 0, 0, -1152, -13032, 0, 12776, 0, 0, 3232, -6408, 0, -174, -8072, 0, 712, -6892, 0, 0, 8812, 0, -1036, 2128, 0, 0, 1052, 0, 9744, 0, 0, 896, 13832, 0, 4216, 0, 0, -1120, 6320, 0, 5112, -512], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 3410895
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 38, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 343647715379, 'source_is_minimal': True, 'source_label': '51.3.f.a.38.6', 'source_level': 51, 'target_conrey_index': 38, 'target_dim': 20, 'target_embedding_index': 6, 'target_hecke_orbit_code': 343647715379, 'target_is_minimal': True, 'target_label': '51.3.f.a.38.6', 'target_level': 51, 'twist_class_label': '51.3.f.a.38.5', 'twist_class_level': 51, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 3410896
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 38, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 343647715379, 'source_is_minimal': True, 'source_label': '51.3.f.a.38.6', 'source_level': 51, 'target_conrey_index': 38, 'target_dim': 20, 'target_embedding_index': 5, 'target_hecke_orbit_code': 343647715379, 'target_is_minimal': True, 'target_label': '51.3.f.a.38.5', 'target_level': 51, 'twist_class_label': '51.3.f.a.38.5', 'twist_class_level': 51, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 3410897
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 38, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 343647715379, 'source_is_minimal': True, 'source_label': '51.3.f.a.38.6', 'source_level': 51, 'target_conrey_index': 47, 'target_dim': 20, 'target_embedding_index': 5, 'target_hecke_orbit_code': 343647715379, 'target_is_minimal': True, 'target_label': '51.3.f.a.47.5', 'target_level': 51, 'twist_class_label': '51.3.f.a.38.5', 'twist_class_level': 51, 'twisting_char_label': '17.13', 'twisting_conrey_index': 13, 'weight': 3}
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id: 3410898
{'conductor': 51, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 38, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 343647715379, 'source_is_minimal': True, 'source_label': '51.3.f.a.38.6', 'source_level': 51, 'target_conrey_index': 47, 'target_dim': 20, 'target_embedding_index': 6, 'target_hecke_orbit_code': 343647715379, 'target_is_minimal': True, 'target_label': '51.3.f.a.47.6', 'target_level': 51, 'twist_class_label': '51.3.f.a.38.5', 'twist_class_level': 51, 'twisting_char_label': '51.47', 'twisting_conrey_index': 47, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 175500
{'charpoly_factorization': [[[-34, 0, 817, 0, -796, 0, 230, 0, -26, 0, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 2}
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id: 175501
{'charpoly_factorization': [[[3486784401, 2324522934, 774840978, 86093442, -80247591, -50309748, -14644152, -2913084, 616086, 690984, 277740, 76776, 7606, -3996, -2232, -852, -151, 18, 18, 6, 1], 1]], 'hecke_orbit_code': 343647715379, 'p': 3}
-
id: 175502
{'charpoly_factorization': [[[73984, 0, 0, 0, 88266137984, 0, 0, 0, 2619748016, 0, 0, 0, 14184956, 0, 0, 0, 7421, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343647715379, 'p': 5}
-
id: 175503
{'charpoly_factorization': [[[19220000, -15822400, 6512704, -728720, 13200, -4264, 12852, -308, 2, 2, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 7}
-
id: 175504
{'charpoly_factorization': [[[56419429391854240000, 0, 0, 0, 194810709661704064, 0, 0, 0, 63989187789680, 0, 0, 0, 4884904460, 0, 0, 0, 127021, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343647715379, 'p': 11}
-
id: 175505
{'charpoly_factorization': [[[4880, 1056, -532, -114, 3, 1], 4]], 'hecke_orbit_code': 343647715379, 'p': 13}
-
id: 175506
{'charpoly_factorization': [[[4064231406647572522401601, 0, -27055622682870778875436, 0, 219227347558102779797, 0, -1140583888366217856, 0, 4943396772239722, 0, -19662690884520, 0, 59187471082, 0, -163506816, 0, 376277, 0, -556, 0, 1], 1]], 'hecke_orbit_code': 343647715379, 'p': 17}
-
id: 175507
{'charpoly_factorization': [[[7428023193600, 0, 112444104256, 0, 624747472, 0, 1637640, 0, 2057, 0, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 19}
-
id: 175508
{'charpoly_factorization': [[[76162146339623273115904, 0, 0, 0, 74393082002561080512, 0, 0, 0, 15035358244891568, 0, 0, 0, 464162509624, 0, 0, 0, 3239705, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343647715379, 'p': 23}
-
id: 175509
{'charpoly_factorization': [[[9970566330455818240000, 0, 0, 0, 141731097440478097664, 0, 0, 0, 110255346708409984, 0, 0, 0, 1648966144688, 0, 0, 0, 3050892, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343647715379, 'p': 29}
-
id: 175510
{'charpoly_factorization': [[[29159379617792, -4598834425088, 362649657616, 9780256048, 1210006344, -130045448, 7101516, 16380, 288, -24, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 31}
-
id: 175511
{'charpoly_factorization': [[[532966176800, -498763504480, 233377880464, -46140553936, 5213216392, -315829288, 10038328, -53756, 128, -16, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 37}
-
id: 175512
{'charpoly_factorization': [[[101835744634644297425787040000, 0, 0, 0, 6402273066302256832331264, 0, 0, 0, 32000632365899858272, 0, 0, 0, 47266001215280, 0, 0, 0, 18555009, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343647715379, 'p': 41}
-
id: 175513
{'charpoly_factorization': [[[1268056166400, 0, 227231347264, 0, 2844976544, 0, 8613028, 0, 7221, 0, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 43}
-
id: 175514
{'charpoly_factorization': [[[1591335582695424, 0, 77255091914752, 0, 141758963776, 0, 73628560, 0, 14736, 0, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 47}
-
id: 175515
{'charpoly_factorization': [[[-10647782293504, 0, 395831885824, 0, -4676509696, 0, 18646592, 0, -8756, 0, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 53}
-
id: 175516
{'charpoly_factorization': [[[-4779910513369600, 0, 178715007875328, 0, -401943550944, 0, 154847224, 0, -21430, 0, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 59}
-
id: 175517
{'charpoly_factorization': [[[94518380438048, -151367240317664, 121204158044176, 7277416506320, 215366094920, 2477146568, 22963336, 496516, 14112, 168, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 61}
-
id: 175518
{'charpoly_factorization': [[[-507289600, 44055552, -715392, -11552, 102, 1], 4]], 'hecke_orbit_code': 343647715379, 'p': 67}
-
id: 175519
{'charpoly_factorization': [[[4020154439171075201868759040000, 0, 0, 0, 534240064429416226936107264, 0, 0, 0, 5038925870514856799168, 0, 0, 0, 1397049613350256, 0, 0, 0, 89468264, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343647715379, 'p': 71}
-
id: 175520
{'charpoly_factorization': [[[515965452800, 1307382016640, 1656358704016, 823702093600, 212101465760, 9315671504, 204668648, 25736, 968, 44, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 73}
-
id: 175521
{'charpoly_factorization': [[[128014798052021792, 18517174406638208, 1339242623600896, 56945518157968, 1532197482800, 24797546792, 223351844, 671660, 3698, 86, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 79}
-
id: 175522
{'charpoly_factorization': [[[-335589717025693696, 0, 880210989175040, 0, -638920705280, 0, 184851440, 0, -22772, 0, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 83}
-
id: 175523
{'charpoly_factorization': [[[399981495413145600, 0, 2917137414917248, 0, 2651111913888, 0, 557309776, 0, 41650, 0, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 89}
-
id: 175524
{'charpoly_factorization': [[[5502307116147200, -309630920996480, 8711918947216, -25060801536, 267874483968, -14326290048, 382108008, -5991360, 59168, -344, 1], 2]], 'hecke_orbit_code': 343647715379, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '51.3.f.a', 'level': 51, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 8312052
{'hecke_orbit_code': 343647715379, 'n': 1, 'trace_an': 20}
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id: 8312053
{'hecke_orbit_code': 343647715379, 'n': 2, 'trace_an': 0}
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id: 8312054
{'hecke_orbit_code': 343647715379, 'n': 3, 'trace_an': -6}
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id: 8312055
{'hecke_orbit_code': 343647715379, 'n': 4, 'trace_an': 24}
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id: 8312056
{'hecke_orbit_code': 343647715379, 'n': 5, 'trace_an': 0}
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id: 8312057
{'hecke_orbit_code': 343647715379, 'n': 6, 'trace_an': -2}
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id: 8312058
{'hecke_orbit_code': 343647715379, 'n': 7, 'trace_an': -4}
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id: 8312059
{'hecke_orbit_code': 343647715379, 'n': 8, 'trace_an': 0}
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id: 8312060
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