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{'Nk2': 10800, 'analytic_conductor': 39.82628925387491, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 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': [675, 1, [326, 352], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 183945, 'field_disc_factorization': [[3, 1], [5, 1], [12263, 1]], 'field_poly': [18, 3, -12, -1, 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, [72, 25, -25, -1, 1]], [7, [162000, 5400, -1068, -4, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990751371939, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 24, 'hecke_ring_index_factorization': [[2, 3], [3, 1]], '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': '675.4.a.z', 'level': 675, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '675.4.a.u', 'nf_label': '4.4.183945.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(5+\\beta _{2})q^{4}+(1+3\\beta _{1}-\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '675.4.a', 'trace_display': [1, 0, 0, 4], 'trace_hash': 377092692526923378, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', '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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{'ALdims': [20, 19, 16, 21], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [9, 9, 9, 9], 'ALdims_old': [46, 41, 44, 45], 'Nk2': 10800, 'analytic_conductor': 39.82628925387491, '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': [675, 1, [326, 352], [1, 1]], 'conrey_index': 1, 'cusp_dim': 252, 'dim': 76, 'eis_dim': 36, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 67109539, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6], 'label': '675.4.a', 'level': 675, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 288, 'mf_new_dim': 76, 'num_forms': 29, 'plus_dim': 41, 'prim_orbit_index': 1, 'relative_dim': 76, 'sturm_bound': 360, 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438588, 0, 0, -326486, 0, 0, 3636, 0, 0, 0, 0, 0, -138480, 0, 0, 33114, 0, 0, 72632, 0, 0, 104900, 0, 0, 0, 0, 0, -165014, 0, 0, -261616, 0, 0, 129780, 0, 0, -207222, 0, 0, 0, 0, 0, 701152, 0, 0, -91684, 0, 0, 393912, 0, 0, 178964, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48591117
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 112589990751371939, 'source_is_minimal': True, 'source_label': '675.4.a.z.1.4', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 112589990751371939, 'target_is_minimal': True, 'target_label': '675.4.a.z.1.4', 'target_level': 675, 'twist_class_label': '675.4.a.u.1.1', 'twist_class_level': 675, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48591118
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 112589990751371939, 'source_is_minimal': True, 'source_label': '675.4.a.z.1.4', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592241889955, 'target_is_minimal': True, 'target_label': '675.4.a.v.1.1', 'target_level': 675, 'twist_class_label': '675.4.a.u.1.1', 'twist_class_level': 675, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48591119
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 112589990751371939, 'source_is_minimal': True, 'source_label': '675.4.a.z.1.4', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 67554063197143715, 'target_is_minimal': False, 'target_label': '675.4.b.p.649.7', 'target_level': 675, 'twist_class_label': '675.4.a.u.1.1', 'twist_class_level': 675, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48591120
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 112589990751371939, 'source_is_minimal': True, 'source_label': '675.4.a.z.1.4', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554063197143715, 'target_is_minimal': False, 'target_label': '675.4.b.p.649.2', 'target_level': 675, 'twist_class_label': '675.4.a.u.1.1', 'twist_class_level': 675, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48591121
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 112589990751371939, 'source_is_minimal': True, 'source_label': '675.4.a.z.1.4', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992614519459, 'target_is_minimal': True, 'target_label': '675.4.a.u.1.1', 'target_level': 675, 'twist_class_label': '675.4.a.u.1.1', 'twist_class_level': 675, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48591122
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 112589990751371939, 'source_is_minimal': True, 'source_label': '675.4.a.z.1.4', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057662824514211, 'target_is_minimal': False, 'target_label': '675.4.b.q.649.2', 'target_level': 675, 'twist_class_label': '675.4.a.u.1.1', 'twist_class_level': 675, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48591123
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 112589990751371939, 'source_is_minimal': True, 'source_label': '675.4.a.z.1.4', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 72057662824514211, 'target_is_minimal': False, 'target_label': '675.4.b.q.649.7', 'target_level': 675, 'twist_class_label': '675.4.a.u.1.1', 'twist_class_level': 675, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 48591124
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 112589990751371939, 'source_is_minimal': True, 'source_label': '675.4.a.z.1.4', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 108086391124001443, 'target_is_minimal': True, 'target_label': '675.4.a.y.1.4', 'target_level': 675, 'twist_class_label': '675.4.a.u.1.1', 'twist_class_level': 675, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1196200
{'charpoly_factorization': [[[72, 25, -25, -1, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 2}
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id: 1196201
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 112589990751371939, 'p': 3}
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id: 1196202
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 112589990751371939, 'p': 5}
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id: 1196203
{'charpoly_factorization': [[[162000, 5400, -1068, -4, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 7}
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id: 1196204
{'charpoly_factorization': [[[93825, -16780, 38, 52, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 11}
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id: 1196205
{'charpoly_factorization': [[[126275, -39770, -2316, 2, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 13}
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id: 1196206
{'charpoly_factorization': [[[23263056, 517144, -11884, -64, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 17}
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id: 1196207
{'charpoly_factorization': [[[-23014672, -1204768, -14484, 46, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 19}
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id: 1196208
{'charpoly_factorization': [[[261711, -634770, -18792, 90, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 23}
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id: 1196209
{'charpoly_factorization': [[[-776494800, -4920560, 48812, 470, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 29}
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id: 1196210
{'charpoly_factorization': [[[254274336, -2581848, -37836, 262, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 31}
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id: 1196211
{'charpoly_factorization': [[[-4695491525, -42117430, -24564, 542, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 37}
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id: 1196212
{'charpoly_factorization': [[[1081900800, -25064360, 51068, 698, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 41}
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id: 1196213
{'charpoly_factorization': [[[4052243600, 51429040, -259236, -142, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 43}
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id: 1196214
{'charpoly_factorization': [[[-3790497105, -33658070, -5272, 542, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 47}
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id: 1196215
{'charpoly_factorization': [[[339474384, -18988544, 235316, -910, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 53}
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id: 1196216
{'charpoly_factorization': [[[39525145425, -39272380, -436138, 100, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 59}
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id: 1196217
{'charpoly_factorization': [[[13956747407, 6522338, -241704, -74, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 61}
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id: 1196218
{'charpoly_factorization': [[[28371870000, 339211800, -392892, -928, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 67}
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id: 1196219
{'charpoly_factorization': [[[-83536909425, -373073870, 286568, 1622, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 71}
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id: 1196220
{'charpoly_factorization': [[[16967166800, 18173920, -499128, 536, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 73}
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id: 1196221
{'charpoly_factorization': [[[3926930544, -36637560, -93084, 508, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 79}
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id: 1196222
{'charpoly_factorization': [[[-975383057664, 2406502656, -907344, -1524, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 83}
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id: 1196223
{'charpoly_factorization': [[[671702058000, -884277000, -1904148, 756, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 89}
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id: 1196224
{'charpoly_factorization': [[[-14510701775, 590998820, -988554, -892, 1], 1]], 'hecke_orbit_code': 112589990751371939, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 26, 'label': '675.4.a.z', 'level': 675, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 67062949
{'hecke_orbit_code': 112589990751371939, 'n': 1, 'trace_an': 4}
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id: 67062950
{'hecke_orbit_code': 112589990751371939, 'n': 2, 'trace_an': 1}
-
id: 67062951
{'hecke_orbit_code': 112589990751371939, 'n': 3, 'trace_an': 0}
-
id: 67062952
{'hecke_orbit_code': 112589990751371939, 'n': 4, 'trace_an': 19}
-
id: 67062953
{'hecke_orbit_code': 112589990751371939, 'n': 5, 'trace_an': 0}
-
id: 67062954
{'hecke_orbit_code': 112589990751371939, 'n': 6, 'trace_an': 0}
-
id: 67062955
{'hecke_orbit_code': 112589990751371939, 'n': 7, 'trace_an': 4}
-
id: 67062956
{'hecke_orbit_code': 112589990751371939, 'n': 8, 'trace_an': -15}
-
id: 67062957
{'hecke_orbit_code': 112589990751371939, 'n': 9, 'trace_an': 0}
-
id: 67062958
{'hecke_orbit_code': 112589990751371939, 'n': 10, 'trace_an': 0}
-
id: 67062959
{'hecke_orbit_code': 112589990751371939, 'n': 11, 'trace_an': -52}
-
id: 67062960
{'hecke_orbit_code': 112589990751371939, 'n': 12, 'trace_an': 0}
-
id: 67062961
{'hecke_orbit_code': 112589990751371939, 'n': 13, 'trace_an': -2}
-
id: 67062962
{'hecke_orbit_code': 112589990751371939, 'n': 14, 'trace_an': -138}
-
id: 67062963
{'hecke_orbit_code': 112589990751371939, 'n': 15, 'trace_an': 0}
-
id: 67062964
{'hecke_orbit_code': 112589990751371939, 'n': 16, 'trace_an': -5}
-
id: 67062965
{'hecke_orbit_code': 112589990751371939, 'n': 17, 'trace_an': 64}
-
id: 67062966
{'hecke_orbit_code': 112589990751371939, 'n': 18, 'trace_an': 0}
-
id: 67062967
{'hecke_orbit_code': 112589990751371939, 'n': 19, 'trace_an': -46}
-
id: 67062968
{'hecke_orbit_code': 112589990751371939, 'n': 20, 'trace_an': 0}
-
id: 67062969
{'hecke_orbit_code': 112589990751371939, 'n': 21, 'trace_an': 0}
-
id: 67062970
{'hecke_orbit_code': 112589990751371939, 'n': 22, 'trace_an': 87}
-
id: 67062971
{'hecke_orbit_code': 112589990751371939, 'n': 23, 'trace_an': -90}
-
id: 67062972
{'hecke_orbit_code': 112589990751371939, 'n': 24, 'trace_an': 0}
-
id: 67062973
{'hecke_orbit_code': 112589990751371939, 'n': 25, 'trace_an': 0}
-
id: 67062974
{'hecke_orbit_code': 112589990751371939, 'n': 26, 'trace_an': -469}
-
id: 67062975
{'hecke_orbit_code': 112589990751371939, 'n': 27, 'trace_an': 0}
-
id: 67062976
{'hecke_orbit_code': 112589990751371939, 'n': 28, 'trace_an': -110}
-
id: 67062977
{'hecke_orbit_code': 112589990751371939, 'n': 29, 'trace_an': -470}
-
id: 67062978
{'hecke_orbit_code': 112589990751371939, 'n': 30, 'trace_an': 0}
-
id: 67062979
{'hecke_orbit_code': 112589990751371939, 'n': 31, 'trace_an': -262}
-
id: 67062980
{'hecke_orbit_code': 112589990751371939, 'n': 32, 'trace_an': -199}
-
id: 67062981
{'hecke_orbit_code': 112589990751371939, 'n': 33, 'trace_an': 0}
-
id: 67062982
{'hecke_orbit_code': 112589990751371939, 'n': 34, 'trace_an': -42}
-
id: 67062983
{'hecke_orbit_code': 112589990751371939, 'n': 35, 'trace_an': 0}
-
id: 67062984
{'hecke_orbit_code': 112589990751371939, 'n': 36, 'trace_an': 0}
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