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{'Nk2': 6728, 'analytic_conductor': 13.43083761997936, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [29, 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': [1682, 1, [843], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 13716913, 'field_disc_factorization': [[7, 4], [29, 1], [197, 1]], 'field_poly': [-64, -32, 52, 17, -13, -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': [[3, [-64, 32, 52, -17, -13, 2, 1]], [5, [-29, -28, 66, 0, -17, 0, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071484050, 'hecke_ring_generator_nbound': 5, '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': False, 'label': '1682.2.a.q', 'level': 1682, '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': False, 'level_primes': [2, 29], 'level_radical': 58, 'minimal_twist': '58.2.d.b', 'nf_label': '6.6.13716913.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+(-1+\\beta _{1}+\\beta _{2})q^{3}+q^{4}+(-\\beta _{1}+\\cdots)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': '1682.2.a', 'trace_display': [-6, -2, 0, -3], 'trace_hash': 1000230104194384887, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.573', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '89.109', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.718', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2354.226', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, 'traces': [6, -6, -2, 6, 0, 2, -3, -6, 12, 0, 1, -2, -3, 3, -27, 6, 6, -12, -18, 0, 10, -1, -14, 2, 4, 3, -23, -3, 0, 27, -17, -6, 20, -6, -9, 12, -12, 18, -10, 0, 15, -10, -1, 1, 18, 14, -8, -2, 1, -4, -11, -3, 3, 23, -18, 3, -19, 0, 19, -27, -15, 17, -33, 6, 11, -20, 21, 6, 11, 9, -9, -12, -31, 12, 1, -18, -33, 10, 2, 0, 2, -15, -2, 10, -19, 1, 0, -1, -2, -18, -22, -14, 1, 8, 18, 2, -43, -1, 4, 4, -9, 11, -45, 3, 55, -3, 3, -23, -26, 18, -37, -3, -37, 19, -18, 0, -22, -19, 15, 27, -13, 15, -34, -17, 0, 33, -9, -6, -20, -11, -5, 20, -18, -21, 0, -6, 7, -11, 3, -9, 5, 9, 12, 12, 0, 31, 0, -12, 5, -1, -35, 18, -10, 33, 0, -10, -45, -2, 12, 0, 34, -2, -29, 15, -37, 2, -20, -10, 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'1682.2.a.q.1.4', 'level': 1682, 'weight': 2}
-
mf_newspaces • Show schema
Hide schema
{'ALdims': [15, 19, 22, 12], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [14, 15, 15, 15], 'ALdims_old': [27, 33, 27, 33], 'Nk2': 6728, 'analytic_conductor': 13.43083761997936, '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': [1682, 1, [843], [1]], 'conrey_index': 1, 'cusp_dim': 188, 'dim': 68, 'eis_dim': 59, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33556114, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 6, 6, 6, 6, 8, 8], 'label': '1682.2.a', 'level': 1682, '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': False, 'level_primes': [2, 29], 'level_radical': 58, 'mf_dim': 247, 'mf_new_dim': 68, 'num_forms': 22, 'plus_dim': 27, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 435, 'trace_bound': 5, 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mf_twists_cc • Show schema
Hide schema
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id: 47992382
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 72057594071484050, 'source_is_minimal': False, 'source_label': '1682.2.a.q.1.4', 'source_level': 1682, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 72057594071484050, 'target_is_minimal': False, 'target_label': '1682.2.a.q.1.4', 'target_level': 1682, 'twist_class_label': '58.2.d.b.23.2', 'twist_class_level': 58, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47992383
{'conductor': 29, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 72057594071484050, 'source_is_minimal': False, 'source_label': '1682.2.a.q.1.4', 'source_level': 1682, 'target_conrey_index': 23, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805819355194, 'target_is_minimal': True, 'target_label': '58.2.d.b.23.2', 'target_level': 58, 'twist_class_label': '58.2.d.b.23.2', 'twist_class_level': 58, 'twisting_char_label': '29.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 47992384
{'conductor': 29, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 72057594071484050, 'source_is_minimal': False, 'source_label': '1682.2.a.q.1.4', 'source_level': 1682, 'target_conrey_index': 1681, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36028865771996818, 'target_is_minimal': False, 'target_label': '1682.2.b.i.1681.4', 'target_level': 1682, 'twist_class_label': '58.2.d.b.23.2', 'twist_class_level': 58, 'twisting_char_label': '29.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 47992385
{'conductor': 29, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 72057594071484050, 'source_is_minimal': False, 'source_label': '1682.2.a.q.1.4', 'source_level': 1682, 'target_conrey_index': 53, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805819355194, 'target_is_minimal': True, 'target_label': '58.2.d.b.53.2', 'target_level': 58, 'twist_class_label': '58.2.d.b.23.2', 'twist_class_level': 58, 'twisting_char_label': '29.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47992386
{'conductor': 29, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 72057594071484050, 'source_is_minimal': False, 'source_label': '1682.2.a.q.1.4', 'source_level': 1682, 'target_conrey_index': 1681, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 36028865771996818, 'target_is_minimal': False, 'target_label': '1682.2.b.i.1681.9', 'target_level': 1682, 'twist_class_label': '58.2.d.b.23.2', 'twist_class_level': 58, 'twisting_char_label': '29.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 47992387
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 72057594071484050, 'source_is_minimal': False, 'source_label': '1682.2.a.q.1.4', 'source_level': 1682, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 85568392953595538, 'target_is_minimal': False, 'target_label': '1682.2.a.t.1.3', 'target_level': 1682, 'twist_class_label': '58.2.d.b.23.2', 'twist_class_level': 58, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 47992388
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 72057594071484050, 'source_is_minimal': False, 'source_label': '1682.2.a.q.1.4', 'source_level': 1682, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525884619915786, 'target_is_minimal': False, 'target_label': '522.2.k.h.487.2', 'target_level': 522, 'twist_class_label': '58.2.d.b.23.2', 'twist_class_level': 58, 'twisting_char_label': '87.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 47992389
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 72057594071484050, 'source_is_minimal': False, 'source_label': '1682.2.a.q.1.4', 'source_level': 1682, 'target_conrey_index': 343, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525884619915786, 'target_is_minimal': False, 'target_label': '522.2.k.h.343.2', 'target_level': 522, 'twist_class_label': '58.2.d.b.23.2', 'twist_class_level': 58, 'twisting_char_label': '87.71', 'twisting_conrey_index': 71, 'weight': 2}
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id: 47992390
{'conductor': 116, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 72057594071484050, 'source_is_minimal': False, 'source_label': '1682.2.a.q.1.4', 'source_level': 1682, 'target_conrey_index': 81, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526571814683088, 'target_is_minimal': False, 'target_label': '464.2.u.h.81.1', 'target_level': 464, 'twist_class_label': '58.2.d.b.23.2', 'twist_class_level': 58, 'twisting_char_label': '116.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 47992391
{'conductor': 116, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 72057594071484050, 'source_is_minimal': False, 'source_label': '1682.2.a.q.1.4', 'source_level': 1682, 'target_conrey_index': 401, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526571814683088, 'target_is_minimal': False, 'target_label': '464.2.u.h.401.1', 'target_level': 464, 'twist_class_label': '58.2.d.b.23.2', 'twist_class_level': 58, 'twisting_char_label': '116.71', 'twisting_conrey_index': 71, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2128825
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 72057594071484050, 'p': 2}
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id: 2128826
{'charpoly_factorization': [[[-64, 32, 52, -17, -13, 2, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 3}
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id: 2128827
{'charpoly_factorization': [[[-29, -28, 66, 0, -17, 0, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 5}
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id: 2128828
{'charpoly_factorization': [[[-64, 96, 76, -39, -17, 3, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 7}
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id: 2128829
{'charpoly_factorization': [[[-64, 48, 96, -11, -26, -1, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 11}
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id: 2128830
{'charpoly_factorization': [[[-7, -49, 147, -27, -25, 3, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 13}
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id: 2128831
{'charpoly_factorization': [[[-1259, -1034, 838, 224, -53, -6, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 17}
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id: 2128832
{'charpoly_factorization': [[[-3584, -4032, -1288, 55, 101, 18, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 19}
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id: 2128833
{'charpoly_factorization': [[[-2752, -5712, -3432, -707, 1, 14, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 23}
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id: 2128834
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 72057594071484050, 'p': 29}
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id: 2128835
{'charpoly_factorization': [[[1856, 1328, -1144, -267, 58, 17, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 31}
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id: 2128836
{'charpoly_factorization': [[[8273, 4042, -1348, -676, -27, 12, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 37}
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id: 2128837
{'charpoly_factorization': [[[-9653, 11417, -4767, 729, 19, -15, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 41}
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id: 2128838
{'charpoly_factorization': [[[-64, -48, 96, 11, -26, 1, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 43}
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id: 2128839
{'charpoly_factorization': [[[2752, 176, -2008, -895, -83, 8, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 47}
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id: 2128840
{'charpoly_factorization': [[[-5977, -3503, 1791, 189, -85, -3, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 53}
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id: 2128841
{'charpoly_factorization': [[[-3584, 5824, -2800, 335, 76, -19, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 59}
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id: 2128842
{'charpoly_factorization': [[[9857, 2927, -2967, -951, -13, 15, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 61}
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id: 2128843
{'charpoly_factorization': [[[-64, -336, 832, -567, 163, -21, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 67}
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id: 2128844
{'charpoly_factorization': [[[60992, -52944, 13484, -447, -192, 9, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 71}
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id: 2128845
{'charpoly_factorization': [[[-700517, -412379, -81469, -5615, 121, 31, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 73}
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id: 2128846
{'charpoly_factorization': [[[-337408, -4736, 24832, 248, -328, -2, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 79}
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id: 2128847
{'charpoly_factorization': [[[-448, -9296, 5292, 125, -225, 2, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 83}
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id: 2128848
{'charpoly_factorization': [[[-11243, 4225, 5568, -675, -286, 2, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 89}
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id: 2128849
{'charpoly_factorization': [[[-190568, -90132, -4928, 3345, 642, 43, 1], 1]], 'hecke_orbit_code': 72057594071484050, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '1682.2.a.q', 'level': 1682, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 61300261
{'hecke_orbit_code': 72057594071484050, 'n': 1, 'trace_an': 6}
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id: 61300262
{'hecke_orbit_code': 72057594071484050, 'n': 2, 'trace_an': -6}
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