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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': 1075648, 'field_disc_factorization': [[2, 6], [7, 5]], 'field_poly': [-7, 0, 14, 0, -7, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 28, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, 3, 4, 1]], [5, [29, 48, -20, -36, 1, 6, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326225042, '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.s', '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.e.a', 'nf_label': '6.6.1075648.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+(-2+\\beta _{2}+\\beta _{4})q^{3}+q^{4}+(-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, -8, -6, 2], 'trace_hash': 2080291770499189709, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '5.510', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '91.990', 'prec': 17}, 0, 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mf_hecke_cc • Show schema
Hide schema
{'an_normalized': [[1.0, 0.0], [0.7071067811865476, 0.0], [-1.6176995060194939, 0.0], [0.5, 0.0], [0.812865852419701, 0.0], [-1.1438862906285123, 0.0], [0.5351012661154411, 0.0], [0.3535533905932738, 0.0], [1.6169516917757145, 0.0], [0.574782956440954, 0.0], [-1.0665881478549781, 0.0], [-0.8088497530097469, 0.0], [-1.5444222969751844, 0.0], [0.37837373389173573, 0.0], [-1.3149726879194652, 0.0], [0.25, 0.0], [-1.8101342268051417, 0.0], [1.143357506105668, 0.0], [1.1555154302748565, 0.0], [0.4064329262098505, 0.0], [-0.8656330538653548, 0.0], [-0.754191712081455, 0.0], [0.37310712004522273, 0.0], [-0.5719431453142562, 0.0], [-0.3392491059699928, 0.0], [-1.0920714792068569, 0.0], [-0.9980424470234645, 0.0], [0.26755063305772053, 0.0], [0.0, 0.0], [-0.9298261047029556, 0.0], [-0.8599001197792329, 0.0], [0.1767766952966369, 0.0], [1.725419119911245, 0.0], [-1.2799581866317837, 0.0], [0.43496554681178934, 0.0], [0.8084758458878573, 0.0], [-0.17658063639039626, 0.0], [0.8170727965130423, 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'embedding_root_real': 1.5636629649360596, 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326225042, 'label': '1682.2.a.s.1.2', 'level': 1682, 'weight': 2}
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mf_newspaces • Show schema
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{'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: 48171798
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326225042, 'source_is_minimal': False, 'source_label': '1682.2.a.s.1.2', 'source_level': 1682, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793326225042, 'target_is_minimal': False, 'target_label': '1682.2.a.s.1.2', 'target_level': 1682, 'twist_class_label': '58.2.e.a.9.2', 'twist_class_level': 58, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48171799
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326225042, 'source_is_minimal': False, 'source_label': '1682.2.a.s.1.2', 'source_level': 1682, 'target_conrey_index': 9, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461434, 'target_is_minimal': True, 'target_label': '58.2.e.a.9.2', 'target_level': 58, 'twist_class_label': '58.2.e.a.9.2', 'twist_class_level': 58, 'twisting_char_label': '29.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48171800
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326225042, 'source_is_minimal': False, 'source_label': '1682.2.a.s.1.2', 'source_level': 1682, 'target_conrey_index': 13, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461434, 'target_is_minimal': True, 'target_label': '58.2.e.a.13.2', 'target_level': 58, 'twist_class_label': '58.2.e.a.9.2', 'twist_class_level': 58, 'twisting_char_label': '29.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 48171801
{'conductor': 29, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326225042, 'source_is_minimal': False, 'source_label': '1682.2.a.s.1.2', 'source_level': 1682, 'target_conrey_index': 1681, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 40532465399367314, 'target_is_minimal': False, 'target_label': '1682.2.b.j.1681.7', 'target_level': 1682, 'twist_class_label': '58.2.e.a.9.2', 'twist_class_level': 58, 'twisting_char_label': '29.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 48171802
{'conductor': 29, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326225042, 'source_is_minimal': False, 'source_label': '1682.2.a.s.1.2', 'source_level': 1682, 'target_conrey_index': 1681, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 40532465399367314, 'target_is_minimal': False, 'target_label': '1682.2.b.j.1681.5', 'target_level': 1682, 'twist_class_label': '58.2.e.a.9.2', 'twist_class_level': 58, 'twisting_char_label': '29.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 48171803
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326225042, 'source_is_minimal': False, 'source_label': '1682.2.a.s.1.2', 'source_level': 1682, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 76561193698854546, 'target_is_minimal': False, 'target_label': '1682.2.a.r.1.6', 'target_level': 1682, 'twist_class_label': '58.2.e.a.9.2', 'twist_class_level': 58, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 48171804
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326225042, 'source_is_minimal': False, 'source_label': '1682.2.a.s.1.2', 'source_level': 1682, 'target_conrey_index': 415, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752522, 'target_is_minimal': False, 'target_label': '522.2.n.a.415.1', 'target_level': 522, 'twist_class_label': '58.2.e.a.9.2', 'twist_class_level': 58, 'twisting_char_label': '87.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 48171805
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326225042, 'source_is_minimal': False, 'source_label': '1682.2.a.s.1.2', 'source_level': 1682, 'target_conrey_index': 361, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752522, 'target_is_minimal': False, 'target_label': '522.2.n.a.361.1', 'target_level': 522, 'twist_class_label': '58.2.e.a.9.2', 'twist_class_level': 58, 'twisting_char_label': '87.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 48171806
{'conductor': 116, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326225042, 'source_is_minimal': False, 'source_label': '1682.2.a.s.1.2', 'source_level': 1682, 'target_conrey_index': 241, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008848555737552, 'target_is_minimal': False, 'target_label': '464.2.y.c.241.2', 'target_level': 464, 'twist_class_label': '58.2.e.a.9.2', 'twist_class_level': 58, 'twisting_char_label': '116.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48171807
{'conductor': 116, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326225042, 'source_is_minimal': False, 'source_label': '1682.2.a.s.1.2', 'source_level': 1682, 'target_conrey_index': 129, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008848555737552, 'target_is_minimal': False, 'target_label': '464.2.y.c.129.2', 'target_level': 464, 'twist_class_label': '58.2.e.a.9.2', 'twist_class_level': 58, 'twisting_char_label': '116.39', 'twisting_conrey_index': 39, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2128875
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 81064793326225042, 'p': 2}
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id: 2128876
{'charpoly_factorization': [[[-1, 3, 4, 1], 2]], 'hecke_orbit_code': 81064793326225042, 'p': 3}
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id: 2128877
{'charpoly_factorization': [[[29, 48, -20, -36, 1, 6, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 5}
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id: 2128878
{'charpoly_factorization': [[[113, -158, 23, 48, -17, -2, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 7}
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id: 2128879
{'charpoly_factorization': [[[29, 452, 226, -62, -31, 2, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 11}
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id: 2128880
{'charpoly_factorization': [[[197, -34, -643, -300, -20, 8, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 13}
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id: 2128881
{'charpoly_factorization': [[[113, -312, -446, -120, 25, 12, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 17}
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id: 2128882
{'charpoly_factorization': [[[-419, 786, 529, -90, -54, 4, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 19}
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id: 2128883
{'charpoly_factorization': [[[-27, -216, -153, 232, -34, -6, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 23}
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id: 2128884
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 81064793326225042, 'p': 29}
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id: 2128885
{'charpoly_factorization': [[[-73331, -46722, -9350, -78, 207, 26, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 31}
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id: 2128886
{'charpoly_factorization': [[[1933, 678, -1294, -148, 99, 20, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 37}
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id: 2128887
{'charpoly_factorization': [[[7757, -2536, -2019, 132, 170, 24, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 41}
-
id: 2128888
{'charpoly_factorization': [[[-2939, -3056, -194, 622, 221, 26, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 43}
-
id: 2128889
{'charpoly_factorization': [[[4957, 12602, -885, -958, 2, 18, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 47}
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id: 2128890
{'charpoly_factorization': [[[-46927, -18726, 3109, 1056, -132, -8, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 53}
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id: 2128891
{'charpoly_factorization': [[[35869, -11160, -12190, -1828, 65, 24, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 59}
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id: 2128892
{'charpoly_factorization': [[[325277, 108418, -6093, -3408, -124, 18, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 61}
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id: 2128893
{'charpoly_factorization': [[[-47207, 4696, 10403, 720, -181, -8, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 67}
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id: 2128894
{'charpoly_factorization': [[[123089, -24506, -8546, 2108, -13, -20, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 71}
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id: 2128895
{'charpoly_factorization': [[[2437, 2628, -271, -400, -10, 12, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 73}
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id: 2128896
{'charpoly_factorization': [[[69952, 21888, -9680, -2640, -48, 20, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 79}
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id: 2128897
{'charpoly_factorization': [[[1421, -2744, 49, 896, 266, 28, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 83}
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id: 2128898
{'charpoly_factorization': [[[-5887, 9744, -6013, 1680, -189, 0, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 89}
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id: 2128899
{'charpoly_factorization': [[[102208, -52608, -7376, 2976, 648, 44, 1], 1]], 'hecke_orbit_code': 81064793326225042, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '1682.2.a.s', 'level': 1682, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
Showing the first 100 of 258 matching records in this table.
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id: 62886187
{'hecke_orbit_code': 81064793326225042, 'n': 1, 'trace_an': 6}
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id: 62886188
{'hecke_orbit_code': 81064793326225042, 'n': 2, 'trace_an': 6}
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id: 62886189
{'hecke_orbit_code': 81064793326225042, 'n': 3, 'trace_an': -8}
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id: 62886190
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