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mf_newforms • Show schema
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{'Nk2': 7480, 'analytic_conductor': 14.932025177979432, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1870, 2, [1497, 1531, 1431], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 441, 'conrey_indexes': [441], 'dim': 18, 'field_disc': -7536547503762372980859166361911296, 'field_disc_factorization': [[-1, 1], [2, 22], [3, 2], [19, 2], [444253, 2], [1673983, 2]], 'field_poly': [4096, 0, 74176, 0, 166385, 0, 163243, 0, 87917, 0, 28167, 0, 5475, 0, 629, 0, 39, 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': [[3, [4096, 0, 74176, 0, 166385, 0, 163243, 0, 87917, 0, 28167, 0, 5475, 0, 629, 0, 39, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014535981991758, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 144, 'hecke_ring_index_factorization': [[2, 4], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 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': '1870.2.c.e', 'level': 1870, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 5, 11, 17], 'level_radical': 1870, 'minimal_twist': '1870.2.c.e', 'prim_orbit_index': 2, 'qexp_display': 'q-q^{2}+\\beta _{1}q^{3}+q^{4}-\\beta _{5}q^{5}-\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 18, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1870.2.c', 'trace_display': [-18, 0, 0, 0], 'trace_hash': 1018274906778147111, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 7480, 'analytic_conductor': 14.932025177979432, 'char_conductor': 17, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1870, 2, [1497, 1531, 1431], [2, 2, 1]], 'conrey_index': 441, 'cusp_dim': 316, 'dim': 60, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 137472509774, 'hecke_orbit_dims': [2, 12, 12, 16, 18], 'label': '1870.2.c', 'level': 1870, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 5, 11, 17], 'level_radical': 1870, 'mf_dim': 332, 'mf_new_dim': 60, 'num_forms': 5, 'prim_orbit_index': 2, 'relative_dim': 60, 'sturm_bound': 648, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [60, 0, 0, 60, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 60, 8, 0, 16, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 8, 8, -16, -60, 0, 24, 0, 0, 0, -48, 32, 0, 0, 0, -56, 0, -100, 0, 0, 0, 32, 0, 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mf_twists_cc • Show schema
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id: 44206261
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 441, 'source_dim': 18, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014535981991758, 'source_is_minimal': True, 'source_label': '1870.2.c.e.441.5', 'source_level': 1870, 'target_conrey_index': 441, 'target_dim': 18, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014535981991758, 'target_is_minimal': True, 'target_label': '1870.2.c.e.441.5', 'target_level': 1870, 'twist_class_label': '1870.2.c.e.441.5', 'twist_class_level': 1870, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44206262
{'conductor': 17, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 441, 'source_dim': 18, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014535981991758, 'source_is_minimal': True, 'source_label': '1870.2.c.e.441.5', 'source_level': 1870, 'target_conrey_index': 441, 'target_dim': 18, 'target_embedding_index': 14, 'target_hecke_orbit_code': 18014535981991758, 'target_is_minimal': True, 'target_label': '1870.2.c.e.441.14', 'target_level': 1870, 'twist_class_label': '1870.2.c.e.441.5', 'twist_class_level': 1870, 'twisting_char_label': '17.16', 'twisting_conrey_index': 16, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2265550
{'charpoly_factorization': [[[1, 1], 18]], 'hecke_orbit_code': 18014535981991758, 'p': 2}
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id: 2265551
{'charpoly_factorization': [[[4096, 0, 74176, 0, 166385, 0, 163243, 0, 87917, 0, 28167, 0, 5475, 0, 629, 0, 39, 0, 1], 1]], 'hecke_orbit_code': 18014535981991758, 'p': 3}
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id: 2265552
{'charpoly_factorization': [[[1, 0, 1], 9]], 'hecke_orbit_code': 18014535981991758, 'p': 5}
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id: 2265553
{'charpoly_factorization': [[[3240000, 0, 10245600, 0, 11824324, 0, 6718020, 0, 2096656, 0, 378864, 0, 40204, 0, 2445, 0, 78, 0, 1], 1]], 'hecke_orbit_code': 18014535981991758, 'p': 7}
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id: 2265554
{'charpoly_factorization': [[[1, 0, 1], 9]], 'hecke_orbit_code': 18014535981991758, 'p': 11}
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id: 2265555
{'charpoly_factorization': [[[-1072, 3664, 3064, -2832, -1651, 531, 176, -40, -5, 1], 2]], 'hecke_orbit_code': 18014535981991758, 'p': 13}
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id: 2265556
{'charpoly_factorization': [[[118587876497, -13951514882, 820677346, -1351703864, 509728663, -239872312, 28087621, -6808840, 3426945, -662540, 201585, -23560, 5717, -2872, 359, -56, 2, -2, 1], 1]], 'hecke_orbit_code': 18014535981991758, 'p': 17}
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id: 2265557
{'charpoly_factorization': [[[6588, -24642, 6691, 25545, 4915, -2551, -807, -17, 13, 1], 2]], 'hecke_orbit_code': 18014535981991758, 'p': 19}
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id: 2265558
{'charpoly_factorization': [[[65029080064, 0, 141642715392, 0, 81886614016, 0, 19019204624, 0, 1955744260, 0, 100848008, 0, 2790124, 0, 42020, 0, 324, 0, 1], 1]], 'hecke_orbit_code': 18014535981991758, 'p': 23}
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id: 2265559
{'charpoly_factorization': [[[1119000077584, 0, 1107577095000, 0, 310851405121, 0, 41056107903, 0, 2992177781, 0, 127781227, 0, 3223843, 0, 46333, 0, 343, 0, 1], 1]], 'hecke_orbit_code': 18014535981991758, 'p': 29}
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id: 2265560
{'charpoly_factorization': [[[361456144, 0, 742570200, 0, 534806113, 0, 180663699, 0, 32889369, 0, 3453331, 0, 213355, 0, 7553, 0, 139, 0, 1], 1]], 'hecke_orbit_code': 18014535981991758, 'p': 31}
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id: 2265561
{'charpoly_factorization': [[[45589504, 0, 124361216, 0, 109977920, 0, 46728704, 0, 10876016, 0, 1453616, 0, 112156, 0, 4873, 0, 110, 0, 1], 1]], 'hecke_orbit_code': 18014535981991758, 'p': 37}
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id: 2265562
{'charpoly_factorization': [[[14017536, 0, 620957952, 0, 6581258752, 0, 8321492560, 0, 2961423156, 0, 191143612, 0, 5148428, 0, 67596, 0, 424, 0, 1], 1]], 'hecke_orbit_code': 18014535981991758, 'p': 41}
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id: 2265563
{'charpoly_factorization': [[[7824384, 3771648, -1707456, -709888, 47896, 23080, -512, -264, 2, 1], 2]], 'hecke_orbit_code': 18014535981991758, 'p': 43}
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id: 2265564
{'charpoly_factorization': [[[-474688, 175424, 251060, -119368, -8815, 7937, -6, -170, 1, 1], 2]], 'hecke_orbit_code': 18014535981991758, 'p': 47}
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id: 2265565
{'charpoly_factorization': [[[-13605044, -9943150, 231481, 1325333, 214757, -14187, -4539, -109, 21, 1], 2]], 'hecke_orbit_code': 18014535981991758, 'p': 53}
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id: 2265566
{'charpoly_factorization': [[[14400, 33600, 12748, -28144, -33717, -14527, -2612, -124, 13, 1], 2]], 'hecke_orbit_code': 18014535981991758, 'p': 59}
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id: 2265567
{'charpoly_factorization': [[[805333813587216, 0, 252473620870296, 0, 29251313176609, 0, 1757067300807, 0, 61888175717, 0, 1340255355, 0, 17904435, 0, 141893, 0, 599, 0, 1], 1]], 'hecke_orbit_code': 18014535981991758, 'p': 61}
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id: 2265568
{'charpoly_factorization': [[[-5552928, 5276016, 784176, -1114844, -129338, 33998, 2534, -336, -10, 1], 2]], 'hecke_orbit_code': 18014535981991758, 'p': 67}
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id: 2265569
{'charpoly_factorization': [[[869306256, 0, 17747418168, 0, 31912304449, 0, 16888855631, 0, 2391868221, 0, 139147723, 0, 3951363, 0, 57357, 0, 399, 0, 1], 1]], 'hecke_orbit_code': 18014535981991758, 'p': 71}
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id: 2265570
{'charpoly_factorization': [[[3217434291994624, 0, 1409165645299712, 0, 204139460110592, 0, 12168707518240, 0, 362997410137, 0, 6004164157, 0, 57212982, 0, 309786, 0, 877, 0, 1], 1]], 'hecke_orbit_code': 18014535981991758, 'p': 73}
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id: 2265571
{'charpoly_factorization': [[[43421010803359744, 0, 6829925658542080, 0, 443281766285312, 0, 15776157783040, 0, 342822923520, 0, 4754584576, 0, 42339264, 0, 234528, 0, 736, 0, 1], 1]], 'hecke_orbit_code': 18014535981991758, 'p': 79}
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id: 2265572
{'charpoly_factorization': [[[-33691264, 4657120, 5098952, -982576, -147374, 35816, 654, -350, 2, 1], 2]], 'hecke_orbit_code': 18014535981991758, 'p': 83}
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id: 2265573
{'charpoly_factorization': [[[3864844, -2389372, -1270331, 805859, -71831, -19393, 3231, 25, -25, 1], 2]], 'hecke_orbit_code': 18014535981991758, 'p': 89}
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id: 2265574
{'charpoly_factorization': [[[9521322320896, 0, 76492960702720, 0, 30437686241872, 0, 3499854287100, 0, 156531813173, 0, 3357094049, 0, 38386006, 0, 240018, 0, 773, 0, 1], 1]], 'hecke_orbit_code': 18014535981991758, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 5, 'label': '1870.2.c.e', 'level': 1870, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 157327000
{'hecke_orbit_code': 18014535981991758, 'n': 1, 'trace_an': 18}
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id: 157327001
{'hecke_orbit_code': 18014535981991758, 'n': 2, 'trace_an': -18}
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id: 157327002
{'hecke_orbit_code': 18014535981991758, 'n': 3, 'trace_an': 0}
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id: 157327003
{'hecke_orbit_code': 18014535981991758, 'n': 4, 'trace_an': 18}
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id: 157327004
{'hecke_orbit_code': 18014535981991758, 'n': 5, 'trace_an': 0}
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id: 157327005
{'hecke_orbit_code': 18014535981991758, 'n': 6, 'trace_an': 0}
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id: 157327006
{'hecke_orbit_code': 18014535981991758, 'n': 7, 'trace_an': 0}
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id: 157327007
{'hecke_orbit_code': 18014535981991758, 'n': 8, 'trace_an': -18}
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id: 157327008
{'hecke_orbit_code': 18014535981991758, 'n': 9, 'trace_an': -24}
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id: 157327009
{'hecke_orbit_code': 18014535981991758, 'n': 10, 'trace_an': 0}
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id: 157327010
{'hecke_orbit_code': 18014535981991758, 'n': 11, 'trace_an': 0}
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id: 157327011
{'hecke_orbit_code': 18014535981991758, 'n': 12, 'trace_an': 0}
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id: 157327012
{'hecke_orbit_code': 18014535981991758, 'n': 13, 'trace_an': 10}
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id: 157327013
{'hecke_orbit_code': 18014535981991758, 'n': 14, 'trace_an': 0}
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id: 157327014
{'hecke_orbit_code': 18014535981991758, 'n': 15, 'trace_an': -2}
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id: 157327015
{'hecke_orbit_code': 18014535981991758, 'n': 16, 'trace_an': 18}
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id: 157327016
{'hecke_orbit_code': 18014535981991758, 'n': 17, 'trace_an': 2}
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id: 157327017
{'hecke_orbit_code': 18014535981991758, 'n': 18, 'trace_an': 24}
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id: 157327018
{'hecke_orbit_code': 18014535981991758, 'n': 19, 'trace_an': -26}
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id: 157327019
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