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{'Nk2': 4180, 'analytic_conductor': 8.3443670112238, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [11, 1], [19, 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': [1045, 1, [837, 761, 496], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 7281497, 'field_disc_factorization': [[31, 2], [7577, 1]], 'field_poly': [-1, -2, 6, 7, -5, -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': [[2, [-1, 3, 11, -8, -6, 2, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170407957, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1045.2.a.f', 'level': 1045, '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': [5, 11, 19], 'level_radical': 1045, 'minimal_twist': '1045.2.a.f', 'nf_label': '6.6.7281497.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{4}q^{2}+\\beta _{3}q^{3}+(\\beta _{4}+\\beta _{5})q^{4}-q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1045.2.a', 'trace_display': [-2, -1, -6, 5], 'trace_hash': 1743916450941996032, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.332', 'prec': 17}, 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-
mf_newspaces • Show schema
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{'ALdims': [7, 9, 7, 5, 8, 6, 8, 9], 'Nk2': 4180, 'analytic_conductor': 8.3443670112238, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1045, 1, [837, 761, 496], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 117, 'dim': 59, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33555477, 'hecke_orbit_dims': [1, 1, 2, 5, 5, 6, 6, 7, 8, 9, 9], 'label': '1045.2.a', 'level': 1045, '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': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 124, 'mf_new_dim': 59, 'num_forms': 11, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 59, 'sturm_bound': 240, 'trace_bound': 5, 'trace_display': [-3, -4, 3, -8], 'traces': [59, -3, -4, 53, 3, 20, -8, 9, 55, -3, -1, 36, -14, 32, -4, 37, -18, 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0, 304, -6, 40, -72, 41, 62, -79, -236, 148, -24, 132, -16, 160, -88, 98, -57, -88, 16, 272, 12, 440, 80, 18, -128, 17, -20, -54, 16, -430, -62, -64, 180, 60, -198, -80, -32, 12, -28, 186, 112, 118, 0, 72, -72, 0, 544, -122, -8, 48, -38, 96, -392, -218, -138, 112, -25, 186, -144, -236, 38, -170, -258, -128, -176, -48, -214, -48, -144, -124, 240, -44, 116, -8, 4, 9, 88, -112, 230, -178, -16, 184, 0, 416, 0, -76, -13, -252, -36, -54, -10, 304, -104, 9, 104, -6, 84, 220, -360, 272, 16, -250, 94, -344, -10, -11, -438, 164, -80, 272, -14, -228, -168, -18, 400, 17, -312, -120, -208, -232, -24, 32, 106, -28, 176, -15], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44890593
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170407957, 'source_is_minimal': True, 'source_label': '1045.2.a.f.1.1', 'source_level': 1045, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170407957, 'target_is_minimal': True, 'target_label': '1045.2.a.f.1.1', 'target_level': 1045, 'twist_class_label': '1045.2.a.f.1.1', 'twist_class_level': 1045, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44890594
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170407957, 'source_is_minimal': True, 'source_label': '1045.2.a.f.1.1', 'source_level': 1045, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 112589990717826237, 'target_is_minimal': False, 'target_label': '9405.2.a.z.1.6', 'target_level': 9405, 'twist_class_label': '1045.2.a.f.1.1', 'twist_class_level': 1045, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44890595
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170407957, 'source_is_minimal': True, 'source_label': '1045.2.a.f.1.1', 'source_level': 1045, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 49539595934635113, 'target_is_minimal': False, 'target_label': '5225.2.a.l.1.6', 'target_level': 5225, 'twist_class_label': '1045.2.a.f.1.1', '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: 1629825
{'charpoly_factorization': [[[-1, 3, 11, -8, -6, 2, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 2}
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id: 1629826
{'charpoly_factorization': [[[-10, 1, 19, -2, -9, 1, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 3}
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id: 1629827
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 22517998170407957, 'p': 5}
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id: 1629828
{'charpoly_factorization': [[[2, -25, -53, 58, -7, -5, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 7}
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id: 1629829
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 22517998170407957, 'p': 11}
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id: 1629830
{'charpoly_factorization': [[[2, 21, 22, -39, -7, 5, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 13}
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id: 1629831
{'charpoly_factorization': [[[-1360, 1329, 1226, 25, -73, -1, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 17}
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id: 1629832
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 22517998170407957, 'p': 19}
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id: 1629833
{'charpoly_factorization': [[[-8912, 1921, 2870, 159, -98, -4, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 23}
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id: 1629834
{'charpoly_factorization': [[[3074, 2417, -44, -347, -41, 9, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 29}
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id: 1629835
{'charpoly_factorization': [[[-20, -203, -486, 167, 131, 21, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 31}
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id: 1629836
{'charpoly_factorization': [[[-592, -1717, -1631, -622, -82, 3, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 37}
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id: 1629837
{'charpoly_factorization': [[[-4210, -4233, -603, 465, 180, 23, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 41}
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id: 1629838
{'charpoly_factorization': [[[-326, -519, 207, 222, -41, -7, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 43}
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id: 1629839
{'charpoly_factorization': [[[-620, 3193, -1116, -433, 50, 18, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 47}
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id: 1629840
{'charpoly_factorization': [[[-4084, -5189, -2224, -259, 61, 17, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 53}
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id: 1629841
{'charpoly_factorization': [[[-54968, -38091, -7538, 281, 261, 29, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 59}
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id: 1629842
{'charpoly_factorization': [[[2294, -4495, 1240, 889, -37, -17, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 61}
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id: 1629843
{'charpoly_factorization': [[[-73006, -46067, 9604, 1252, -197, -8, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 67}
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id: 1629844
{'charpoly_factorization': [[[-5912, -9959, -5772, -1277, -56, 12, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 71}
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id: 1629845
{'charpoly_factorization': [[[-4000, 481, 1170, 4, -71, -2, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 73}
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id: 1629846
{'charpoly_factorization': [[[28264, -28587, 7777, 238, -234, -3, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 79}
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id: 1629847
{'charpoly_factorization': [[[-82582, 32921, 6286, -1951, -245, 11, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 83}
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id: 1629848
{'charpoly_factorization': [[[3286, -1705, -4526, -876, 65, 22, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 89}
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id: 1629849
{'charpoly_factorization': [[[-967268, 24949, 36688, -554, -369, 2, 1], 1]], 'hecke_orbit_code': 22517998170407957, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '1045.2.a.f', 'level': 1045, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 41894791
{'hecke_orbit_code': 22517998170407957, 'n': 1, 'trace_an': 6}
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id: 41894792
{'hecke_orbit_code': 22517998170407957, 'n': 2, 'trace_an': -2}
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id: 41894793
{'hecke_orbit_code': 22517998170407957, 'n': 3, 'trace_an': -1}
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id: 41894794
{'hecke_orbit_code': 22517998170407957, 'n': 4, 'trace_an': 4}
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id: 41894795
{'hecke_orbit_code': 22517998170407957, 'n': 5, 'trace_an': -6}
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id: 41894796
{'hecke_orbit_code': 22517998170407957, 'n': 6, 'trace_an': 0}
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id: 41894797
{'hecke_orbit_code': 22517998170407957, 'n': 7, 'trace_an': 5}
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id: 41894798
{'hecke_orbit_code': 22517998170407957, 'n': 8, 'trace_an': -12}
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id: 41894799
{'hecke_orbit_code': 22517998170407957, 'n': 9, 'trace_an': 1}
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id: 41894800
{'hecke_orbit_code': 22517998170407957, 'n': 10, 'trace_an': 2}
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id: 41894801
{'hecke_orbit_code': 22517998170407957, 'n': 11, 'trace_an': -6}
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