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mf_newforms • Show schema
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{'Nk2': 4180, 'analytic_conductor': 8.3443670112238, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, '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': [1045, 2, [837, 761, 496], [1, 2, 2]], 'cm_discs': [], 'conrey_index': 419, 'conrey_indexes': [419], 'dim': 20, 'field_disc': 19561281735488561148431437524688175104, 'field_disc_factorization': [[2, 22], [1493, 2], [1699, 2], [21739, 2], [39163, 2]], 'field_poly': [4, 0, 276, 0, 2753, 0, 9095, 0, 13894, 0, 11551, 0, 5623, 0, 1640, 0, 281, 0, 26, 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': [[2, [4, 0, 276, 0, 2753, 0, 9095, 0, 13894, 0, 11551, 0, 5623, 0, 1640, 0, 281, 0, 26, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007268007773205, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 32, 'hecke_ring_index_factorization': [[2, 5]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 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': '1045.2.b.c', 'level': 1045, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 11, 19], 'level_radical': 1045, 'minimal_twist': '1045.2.b.c', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{7}q^{3}+(-1+\\beta _{2})q^{4}-\\beta _{11}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 20, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1045.2.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1755655671497004675, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.200', 'prec': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4180, 'analytic_conductor': 8.3443670112238, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1045, 2, [837, 761, 496], [1, 2, 2]], 'conrey_index': 419, 'cusp_dim': 116, 'dim': 92, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 68753032213, 'hecke_orbit_dims': [4, 16, 20, 22, 30], 'label': '1045.2.b', 'level': 1045, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 124, 'mf_new_dim': 92, 'num_forms': 5, 'prim_orbit_index': 2, 'relative_dim': 92, 'sturm_bound': 240, 'trace_bound': 1, 'trace_display': [0, 0, 6, 0], 'traces': [92, 0, 0, -96, 6, -8, 0, 0, -96, 8, 8, 0, 0, 16, -6, 96, 0, 0, 0, -16, -32, 0, 0, 24, -10, 0, 0, 0, 40, -32, 4, 0, 0, -56, -24, 192, 0, 0, 0, -32, -8, 0, 0, -12, -4, 56, 0, 0, -76, -8, 48, 0, 0, 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96, 0, 0, 56, 204, -676, 0, 0, 32, -266, -840, 0, 0, -280, 620, -260, 0, 0, 168, -40, 520, 0, 0, 340, -680, 168, 0, 0, 664, -404, -632, 0, 0, -44, -72, 1096, 0, 0, 1528, 16, -96, 0, 0, -336, -124, 64, 0, 0, -128, 472, -472, 0, 0, -72, -400, -116, 0, 0, -392, -64, 256, 0, 0, -384, 4], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40562223
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 419, 'source_dim': 20, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007268007773205, 'source_is_minimal': True, 'source_label': '1045.2.b.c.419.5', 'source_level': 1045, 'target_conrey_index': 419, 'target_dim': 20, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007268007773205, 'target_is_minimal': True, 'target_label': '1045.2.b.c.419.5', 'target_level': 1045, 'twist_class_label': '1045.2.b.c.419.5', 'twist_class_level': 1045, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40562224
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 419, 'source_dim': 20, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007268007773205, 'source_is_minimal': True, 'source_label': '1045.2.b.c.419.5', 'source_level': 1045, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 16, 'target_hecke_orbit_code': 117093590345192553, 'target_is_minimal': False, 'target_label': '5225.2.a.ba.1.16', 'target_level': 5225, 'twist_class_label': '1045.2.b.c.419.5', 'twist_class_level': 1045, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40562225
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 419, 'source_dim': 20, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007268007773205, 'source_is_minimal': True, 'source_label': '1045.2.b.c.419.5', 'source_level': 1045, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 5, 'target_hecke_orbit_code': 117093590345192553, 'target_is_minimal': False, 'target_label': '5225.2.a.ba.1.5', 'target_level': 5225, 'twist_class_label': '1045.2.b.c.419.5', 'twist_class_level': 1045, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40562226
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 419, 'source_dim': 20, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007268007773205, 'source_is_minimal': True, 'source_label': '1045.2.b.c.419.5', 'source_level': 1045, 'target_conrey_index': 419, 'target_dim': 20, 'target_embedding_index': 16, 'target_hecke_orbit_code': 9007268007773205, 'target_is_minimal': True, 'target_label': '1045.2.b.c.419.16', 'target_level': 1045, 'twist_class_label': '1045.2.b.c.419.5', 'twist_class_level': 1045, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1629475
{'charpoly_factorization': [[[4, 0, 276, 0, 2753, 0, 9095, 0, 13894, 0, 11551, 0, 5623, 0, 1640, 0, 281, 0, 26, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 2}
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id: 1629476
{'charpoly_factorization': [[[256, 0, 5696, 0, 33184, 0, 72805, 0, 78507, 0, 47677, 0, 17342, 0, 3833, 0, 500, 0, 35, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 3}
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id: 1629477
{'charpoly_factorization': [[[9765625, 0, -390625, 468750, -234375, -243750, -12500, 5750, -4650, 4850, 3658, 970, -186, 46, -20, -78, -15, 6, -1, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 5}
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id: 1629478
{'charpoly_factorization': [[[2304, 0, 46016, 0, 304176, 0, 856532, 0, 1099880, 0, 670233, 0, 194005, 0, 28024, 0, 2053, 0, 73, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 7}
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id: 1629479
{'charpoly_factorization': [[[-1, 1], 20]], 'hecke_orbit_code': 9007268007773205, 'p': 11}
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id: 1629480
{'charpoly_factorization': [[[33732864, 0, 632022464, 0, 1203719920, 0, 739024900, 0, 218996548, 0, 36371889, 0, 3599588, 0, 214755, 0, 7471, 0, 137, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 13}
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id: 1629481
{'charpoly_factorization': [[[7054336, 0, 197432576, 0, 698557056, 0, 713687508, 0, 285942072, 0, 54391641, 0, 5502316, 0, 311179, 0, 9767, 0, 157, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 17}
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id: 1629482
{'charpoly_factorization': [[[-1, 1], 20]], 'hecke_orbit_code': 9007268007773205, 'p': 19}
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id: 1629483
{'charpoly_factorization': [[[172764736, 0, 3101339248, 0, 12311375020, 0, 10039877237, 0, 2685610562, 0, 340694984, 0, 23320564, 0, 900965, 0, 19519, 0, 220, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 23}
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id: 1629484
{'charpoly_factorization': [[[4194192, 1058552, -1402100, -194274, 179116, 3347, -9816, 773, 153, -25, 1], 2]], 'hecke_orbit_code': 9007268007773205, 'p': 29}
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id: 1629485
{'charpoly_factorization': [[[-7456, -111504, -49976, 161615, 104238, -17956, -13575, -1350, 124, 25, 1], 2]], 'hecke_orbit_code': 9007268007773205, 'p': 31}
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id: 1629486
{'charpoly_factorization': [[[61309721664, 0, 216751516976, 0, 278071511884, 0, 159108327209, 0, 41465234119, 0, 4495023337, 0, 219561439, 0, 5307491, 0, 66317, 0, 411, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 37}
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id: 1629487
{'charpoly_factorization': [[[166848, 1861184, 3177512, 1952284, 487094, 15085, -15327, -2515, -44, 17, 1], 2]], 'hecke_orbit_code': 9007268007773205, 'p': 41}
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id: 1629488
{'charpoly_factorization': [[[7783474176, 0, 1165458322688, 0, 1929486894720, 0, 589283731872, 0, 76704661796, 0, 5210165145, 0, 200888495, 0, 4504430, 0, 57337, 0, 379, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 43}
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id: 1629489
{'charpoly_factorization': [[[47457277067935744, 0, 15145302020294656, 0, 1883937049449536, 0, 125044907626096, 0, 5012521307372, 0, 128479792173, 0, 2150767840, 0, 23357469, 0, 158220, 0, 606, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 47}
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id: 1629490
{'charpoly_factorization': [[[58092830810407936, 0, 16918646609043712, 0, 2037460361054080, 0, 134794472735904, 0, 5455102457380, 0, 141577353693, 0, 2390610524, 0, 25947019, 0, 173159, 0, 641, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 53}
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id: 1629491
{'charpoly_factorization': [[[86423136, -74502304, -16109652, 12168583, 637538, -517674, 18053, 5204, -296, -15, 1], 2]], 'hecke_orbit_code': 9007268007773205, 'p': 59}
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id: 1629492
{'charpoly_factorization': [[[-26701648, 15671464, 4573252, -2030406, -379232, 83033, 13690, -1311, -203, 7, 1], 2]], 'hecke_orbit_code': 9007268007773205, 'p': 61}
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id: 1629493
{'charpoly_factorization': [[[345472702914816, 0, 520408067604800, 0, 260091159602176, 0, 50523697290397, 0, 4447439480336, 0, 190375580699, 0, 4146259377, 0, 47228392, 0, 283664, 0, 850, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 67}
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id: 1629494
{'charpoly_factorization': [[[-400032, 6412880, -3032032, -1455235, 345152, 126732, -4066, -2929, -73, 20, 1], 2]], 'hecke_orbit_code': 9007268007773205, 'p': 71}
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id: 1629495
{'charpoly_factorization': [[[27513477920784384, 0, 16215000063352832, 0, 3712915646425344, 0, 416354004159040, 0, 23689439568384, 0, 661341488853, 0, 9770191054, 0, 81273128, 0, 384017, 0, 964, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 73}
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id: 1629496
{'charpoly_factorization': [[[-204893824, 51728544, 30845000, -9602354, -883924, 509451, -31091, -6084, 990, -53, 1], 2]], 'hecke_orbit_code': 9007268007773205, 'p': 79}
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id: 1629497
{'charpoly_factorization': [[[5917659525376, 0, 8357630438592, 0, 4250865733872, 0, 1009056635844, 0, 123681216676, 0, 8166843033, 0, 301122568, 0, 6263439, 0, 72051, 0, 425, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 83}
-
id: 1629498
{'charpoly_factorization': [[[14189256, -11234524, -24863770, 11072527, 97000, -397375, 15271, 4720, -234, -18, 1], 2]], 'hecke_orbit_code': 9007268007773205, 'p': 89}
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id: 1629499
{'charpoly_factorization': [[[19285658703936, 0, 210128144766704, 0, 391339491891292, 0, 192044109078861, 0, 24790141231190, 0, 1030245989845, 0, 17595489615, 0, 144667532, 0, 606332, 0, 1248, 0, 1], 1]], 'hecke_orbit_code': 9007268007773205, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 3, 'label': '1045.2.b.c', 'level': 1045, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 114717000
{'hecke_orbit_code': 9007268007773205, 'n': 1, 'trace_an': 20}
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id: 114717001
{'hecke_orbit_code': 9007268007773205, 'n': 2, 'trace_an': 0}
-
id: 114717002
{'hecke_orbit_code': 9007268007773205, 'n': 3, 'trace_an': 0}
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id: 114717003
{'hecke_orbit_code': 9007268007773205, 'n': 4, 'trace_an': -12}
-
id: 114717004
{'hecke_orbit_code': 9007268007773205, 'n': 5, 'trace_an': 0}
-
id: 114717005
{'hecke_orbit_code': 9007268007773205, 'n': 6, 'trace_an': -8}
-
id: 114717006
{'hecke_orbit_code': 9007268007773205, 'n': 7, 'trace_an': 0}
-
id: 114717007
{'hecke_orbit_code': 9007268007773205, 'n': 8, 'trace_an': 0}
-
id: 114717008
{'hecke_orbit_code': 9007268007773205, 'n': 9, 'trace_an': -10}
-
id: 114717009
{'hecke_orbit_code': 9007268007773205, 'n': 10, 'trace_an': -6}
-
id: 114717010
{'hecke_orbit_code': 9007268007773205, 'n': 11, 'trace_an': 20}
-
id: 114717011
{'hecke_orbit_code': 9007268007773205, 'n': 12, 'trace_an': 0}
-
id: 114717012
{'hecke_orbit_code': 9007268007773205, 'n': 13, 'trace_an': 0}
-
id: 114717013
{'hecke_orbit_code': 9007268007773205, 'n': 14, 'trace_an': 24}
-
id: 114717014
{'hecke_orbit_code': 9007268007773205, 'n': 15, 'trace_an': -6}
-
id: 114717015
{'hecke_orbit_code': 9007268007773205, 'n': 16, 'trace_an': -4}
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id: 114717016
{'hecke_orbit_code': 9007268007773205, 'n': 17, 'trace_an': 0}
-
id: 114717017
{'hecke_orbit_code': 9007268007773205, 'n': 18, 'trace_an': 0}
-
id: 114717018
{'hecke_orbit_code': 9007268007773205, 'n': 19, 'trace_an': 20}
-
id: 114717019
{'hecke_orbit_code': 9007268007773205, 'n': 20, 'trace_an': -6}
-
id: 114717020
{'hecke_orbit_code': 9007268007773205, 'n': 21, 'trace_an': -30}
-
id: 114717021
{'hecke_orbit_code': 9007268007773205, 'n': 22, 'trace_an': 0}
-
id: 114717022
{'hecke_orbit_code': 9007268007773205, 'n': 23, 'trace_an': 0}
-
id: 114717023
{'hecke_orbit_code': 9007268007773205, 'n': 24, 'trace_an': 38}
-
id: 114717024
{'hecke_orbit_code': 9007268007773205, 'n': 25, 'trace_an': 2}
-
id: 114717025
{'hecke_orbit_code': 9007268007773205, 'n': 26, 'trace_an': 8}
-
id: 114717026
{'hecke_orbit_code': 9007268007773205, 'n': 27, 'trace_an': 0}
-
id: 114717027
{'hecke_orbit_code': 9007268007773205, 'n': 28, 'trace_an': 0}
-
id: 114717028
{'hecke_orbit_code': 9007268007773205, 'n': 29, 'trace_an': 50}
-
id: 114717029
{'hecke_orbit_code': 9007268007773205, 'n': 30, 'trace_an': -20}
-
id: 114717030
{'hecke_orbit_code': 9007268007773205, 'n': 31, 'trace_an': -50}
-
id: 114717031
{'hecke_orbit_code': 9007268007773205, 'n': 32, 'trace_an': 0}
-
id: 114717032
{'hecke_orbit_code': 9007268007773205, 'n': 33, 'trace_an': 0}
-
id: 114717033
{'hecke_orbit_code': 9007268007773205, 'n': 34, 'trace_an': 28}
-
id: 114717034
{'hecke_orbit_code': 9007268007773205, 'n': 35, 'trace_an': 6}
-
id: 114717035
{'hecke_orbit_code': 9007268007773205, 'n': 36, 'trace_an': -12}
-
id: 114717036
{'hecke_orbit_code': 9007268007773205, 'n': 37, 'trace_an': 0}
-
id: 114717037
{'hecke_orbit_code': 9007268007773205, 'n': 38, 'trace_an': 0}
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id: 114717038
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