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{'Nk2': 34944, 'analytic_conductor': 170.56222391433047, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, 1], [13, 1]], 'atkin_lehner_string': '-+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [546, 1, [365, 157, 379], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 64306761549784844115900, 'field_disc_factorization': [[2, 2], [3, 1], [5, 2], [7, 1], [23, 1], [83, 2], [193265050172357, 1]], 'field_poly': [278845474950, 3465881625, -6160660, -122890, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [119801402000, 6741142400, -14595850, -183545, 250, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539596035293730, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 540, 'hecke_ring_index_factorization': [[2, 2], [3, 3], [5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '546.8.a.l', 'level': 546, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.8.a.l', 'prim_orbit_index': 1, 'qexp_display': 'q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(-50+\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '546.8.a', 'trace_display': [40, -135, -250, -1715], 'trace_hash': 166079071924357821, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -231.82446456336754, 'hecke_orbit': 12, 'hecke_orbit_code': 49539596035293730, 'label': '546.8.a.l.1.2', 'level': 546, 'weight': 8}
-
mf_newspaces • Show schema
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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539596035293730, 'source_is_minimal': True, 'source_label': '546.8.a.l.1.2', 'source_level': 546, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539596035293730, 'target_is_minimal': True, 'target_label': '546.8.a.l.1.2', 'target_level': 546, 'twist_class_label': '546.8.a.l.1.2', 'twist_class_level': 546, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 883350
{'charpoly_factorization': [[[-8, 1], 5]], 'hecke_orbit_code': 49539596035293730, 'p': 2}
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id: 883351
{'charpoly_factorization': [[[27, 1], 5]], 'hecke_orbit_code': 49539596035293730, 'p': 3}
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id: 883352
{'charpoly_factorization': [[[119801402000, 6741142400, -14595850, -183545, 250, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 5}
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id: 883353
{'charpoly_factorization': [[[343, 1], 5]], 'hecke_orbit_code': 49539596035293730, 'p': 7}
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id: 883354
{'charpoly_factorization': [[[164356746724271712, 248876084787064, 41236262956, -43756206, -659, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 11}
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id: 883355
{'charpoly_factorization': [[[2197, 1], 5]], 'hecke_orbit_code': 49539596035293730, 'p': 13}
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id: 883356
{'charpoly_factorization': [[[418644532991327098176, 143175107384955000, 9383982990420, -673573230, -24575, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 17}
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id: 883357
{'charpoly_factorization': [[[561563342179906687488, 654251293470820032, -12294669029916, -2522735967, 6446, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 19}
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id: 883358
{'charpoly_factorization': [[[72153866169581215749888, 11655712032270044248, 104556010962212, -6873478617, -30268, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 23}
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id: 883359
{'charpoly_factorization': [[[2357025214821258653525416, -144330840699380472780, 2814729805076390, -13264316365, -130950, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 29}
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id: 883360
{'charpoly_factorization': [[[5801864743122541575233024, -241546326154021905472, 2537726512578704, 9247332292, -262979, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 31}
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id: 883361
{'charpoly_factorization': [[[2089814995910622287054822400, 14403435621167210797800, -42375641710702260, -291033515550, 101549, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 37}
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id: 883362
{'charpoly_factorization': [[[240368928521708204438572800, -5766489710883023407200, -78238352618592240, -206728243860, 247328, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 41}
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id: 883363
{'charpoly_factorization': [[[-2716490889504483671606940992, 33898921387285405865328, 37366883896088972, -463212154057, 19092, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 43}
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id: 883364
{'charpoly_factorization': [[[-8520584575566041237976903680, 93244188151167235277936, 120005194097902204, -1305267642644, 126419, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 47}
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id: 883365
{'charpoly_factorization': [[[-280721918056581694323737485200, 1795441083734904694214400, -237037031459786880, -2712413229540, 302793, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 53}
-
id: 883366
{'charpoly_factorization': [[[18559385332288818722747745733632, -4109702440010393758394816, -23701694727603442144, -6875467135836, 2798636, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 59}
-
id: 883367
{'charpoly_factorization': [[[-3019696146775565708634031600, -512481146181723462582400, -9764296939204374880, -3966892938980, 2493751, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 61}
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id: 883368
{'charpoly_factorization': [[[-10478174021361383899643269260800, 10933714273007574041812800, 13320775028771852480, -13285169698540, -160188, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 67}
-
id: 883369
{'charpoly_factorization': [[[4159403878940826345953728211968, -16059809109555148370093632, 13948237185812008192, 155502177028, -3846088, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 71}
-
id: 883370
{'charpoly_factorization': [[[-42730147940290575330625929532824, 3299884842398462746241884, 31594634166079139662, -3744070691559, -5655872, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 73}
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id: 883371
{'charpoly_factorization': [[[-31093781386812362272673305290240, 5493683014597047645846976, 31405309985820738304, -2588657307054, -5647991, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 79}
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id: 883372
{'charpoly_factorization': [[[-90410742399492415955618076133152, 124765196188849407277178904, -27049562748360942156, -19508559810666, 4607669, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 83}
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id: 883373
{'charpoly_factorization': [[[-1201593484497520849480253639661600, -1379558630546971995527542800, -357388930324728384060, 49036631517720, 17424029, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 89}
-
id: 883374
{'charpoly_factorization': [[[-7104556793680640493335980154108560, -5116737387101065839297927744, -899417932355920313312, 35252168542604, 18380577, 1], 1]], 'hecke_orbit_code': 49539596035293730, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '546.8.a.l', 'level': 546, 'portrait': 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', 'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
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id: 220044000
{'hecke_orbit_code': 49539596035293730, 'n': 1, 'trace_an': 5}
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id: 220044001
{'hecke_orbit_code': 49539596035293730, 'n': 2, 'trace_an': 40}
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id: 220044002
{'hecke_orbit_code': 49539596035293730, 'n': 3, 'trace_an': -135}
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id: 220044003
{'hecke_orbit_code': 49539596035293730, 'n': 4, 'trace_an': 320}
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id: 220044004
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