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{'Nk2': 31768, 'analytic_conductor': 63.41718928530088, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -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': [7942, 1, [5777, 6139], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 621, 'field_disc_factorization': [[3, 3], [23, 1]], 'field_poly': [-3, -6, 0, 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, [3, -6, 0, 1]], [5, [-18, -9, 3, 1]], [13, [29, -18, 0, 1]]], 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364159238, 'hecke_ring_generator_nbound': 3, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7942.2.a.bi', 'level': 7942, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11, 19], 'level_radical': 418, 'minimal_twist': '418.2.a.g', 'nf_label': '3.3.621.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-\\beta _{1}q^{3}+q^{4}+(-1-\\beta _{1}-\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7942.2.a', 'trace_display': [3, 0, -3, -6], 'trace_hash': 749496828580658558, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '24.139', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '284.191', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, 'traces': [3, 3, 0, 3, -3, 0, -6, 3, 3, -3, -3, 0, 0, -6, 9, 3, -9, 3, 0, -3, 15, -3, -15, 0, 12, 0, -9, -6, -6, 9, 3, 3, 0, -9, 0, 3, 6, 0, -15, -3, 9, 15, -21, -3, -27, -15, -12, 0, 27, 12, -3, 0, 9, -9, 3, -6, 0, -6, 3, 9, 24, 3, 0, 3, 6, 0, 0, -9, -3, 0, -21, 3, -3, 6, -36, 0, 6, -15, 6, -3, -9, 9, -33, 15, 24, -21, 6, -3, -6, -27, -36, -15, 36, -12, 0, 0, -12, 27, -3, 12, 0, -3, -3, 0, -63, 9, 3, -9, 3, 3, 6, -6, 24, 0, 30, -6, -6, 3, -3, 9, 3, 24, -30, 3, -24, 0, 18, 3, -33, 6, 9, 0, 0, 0, 9, -9, 6, -3, 15, 0, -42, -21, 0, 3, 45, -3, -18, 6, 6, -36, 24, 0, -24, 6, 24, -15, 15, 6, -51, -3, 9, -9, 0, 9, -9, -33, -18, 15, -3, 24, 0, -21, -27, 6, -69, -3, 21, -6, 3, -27, 0, -36, 6, -15, -36, 36, 9, -12, 18, 0, -21, 0, -15, -12, 45, 27, -36, -3, -51, 12, 21, 0, -15, -3, -66, -3, -30, 0, 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-24, 78, 9, -36, -54, 171, 45, -126, 12, -30, 99], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
Hide schema
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13], [2, 0, -6], [-21, 34, 9], [22, -15, 7], [-15, 4, -5], [-8, 10, 16], [-10, 19, 2]], 'char_orbit_index': 1, 'field_poly': [-3, -6, 0, 1], 'hecke_orbit_code': 153122387364159238, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [4, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-4, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '7942.2.a.bi', 'level': 7942, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [11, 1], [19, -1]], 37, 7], [[[2, -1], [11, -1], [19, -1]], 41, 8], [[[2, 1], [11, -1], [19, -1]], 37, 10], [[[2, 1], [11, -1], [19, 1]], 34, 5], [[[2, -1], [11, 1], [19, 1]], 39, 7], [[[2, 1], [11, 1], [19, 1]], 35, 7], [[[2, -1], [11, 1], [19, -1]], 32, 6], [[[2, -1], [11, -1], [19, 1]], 30, 6]], 'ALdims': [35, 37, 34, 37, 39, 32, 30, 41], 'Nk2': 31768, 'analytic_conductor': 63.41718928530088, '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': [7942, 1, [5777, 6139], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1101, 'dim': 285, 'eis_dim': 79, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 33562374, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 16, 16], 'label': '7942.2.a', 'level': 7942, 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mf_twists_nf • Show schema
Hide schema
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id: 1371496
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7942.2.a.bi', 'source_level': 7942, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '418.2.a.g', 'target_level': 418, 'twist_class_label': '418.2.a.g', 'twist_class_level': 418, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1371497
{'conductor': 76, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7942.2.a.bi', 'source_level': 7942, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3344.2.a.q', 'target_level': 3344, 'twist_class_label': '418.2.a.g', 'twist_class_level': 418, 'twisting_char_label': '76.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1371498
{'conductor': 57, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7942.2.a.bi', 'source_level': 7942, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '3762.2.a.bg', 'target_level': 3762, 'twist_class_label': '418.2.a.g', 'twist_class_level': 418, 'twisting_char_label': '57.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1371499
{'conductor': 209, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7942.2.a.bi', 'source_level': 7942, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '4598.2.a.bo', 'target_level': 4598, 'twist_class_label': '418.2.a.g', 'twist_class_level': 418, 'twisting_char_label': '209.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1371500
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7942.2.a.bi', 'source_level': 7942, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7942.2.a.bi', 'target_level': 7942, 'twist_class_label': '418.2.a.g', 'twist_class_level': 418, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4616225
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 153122387364159238, 'p': 2}
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id: 4616226
{'charpoly_factorization': [[[3, -6, 0, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 3}
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id: 4616227
{'charpoly_factorization': [[[-18, -9, 3, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 5}
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id: 4616228
{'charpoly_factorization': [[[-57, -6, 6, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 7}
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id: 4616229
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 153122387364159238, 'p': 11}
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id: 4616230
{'charpoly_factorization': [[[29, -18, 0, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 13}
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id: 4616231
{'charpoly_factorization': [[[-4, 18, 9, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 17}
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id: 4616232
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 153122387364159238, 'p': 19}
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id: 4616233
{'charpoly_factorization': [[[76, 66, 15, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 23}
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id: 4616234
{'charpoly_factorization': [[[-147, -24, 6, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 29}
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id: 4616235
{'charpoly_factorization': [[[134, -51, -3, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 31}
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id: 4616236
{'charpoly_factorization': [[[96, -24, -6, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 37}
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id: 4616237
{'charpoly_factorization': [[[122, -45, -9, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 41}
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id: 4616238
{'charpoly_factorization': [[[-184, 93, 21, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 43}
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id: 4616239
{'charpoly_factorization': [[[-672, -60, 12, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 47}
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id: 4616240
{'charpoly_factorization': [[[452, -90, -9, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 53}
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id: 4616241
{'charpoly_factorization': [[[64, -24, -3, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 59}
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id: 4616242
{'charpoly_factorization': [[[-192, 156, -24, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 61}
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id: 4616243
{'charpoly_factorization': [[[-123, -96, 0, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 67}
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id: 4616244
{'charpoly_factorization': [[[-1306, 3, 21, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 71}
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id: 4616245
{'charpoly_factorization': [[[-12, -6, 3, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 73}
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id: 4616246
{'charpoly_factorization': [[[944, -132, -6, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 79}
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id: 4616247
{'charpoly_factorization': [[[1104, 345, 33, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 83}
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id: 4616248
{'charpoly_factorization': [[[-144, -36, 6, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 89}
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id: 4616249
{'charpoly_factorization': [[[-256, -96, 12, 1], 1]], 'hecke_orbit_code': 153122387364159238, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 35, 'label': '7942.2.a.bi', 'level': 7942, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 269790000
{'hecke_orbit_code': 153122387364159238, 'n': 1, 'trace_an': 3}
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id: 269790001
{'hecke_orbit_code': 153122387364159238, 'n': 2, 'trace_an': 3}
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id: 269790002
{'hecke_orbit_code': 153122387364159238, 'n': 3, 'trace_an': 0}
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id: 269790003
{'hecke_orbit_code': 153122387364159238, 'n': 4, 'trace_an': 3}
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id: 269790004
{'hecke_orbit_code': 153122387364159238, 'n': 5, 'trace_an': -3}
-
id: 269790005
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id: 269790103
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id: 269790106
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id: 269790108
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id: 269790109
{'hecke_orbit_code': 153122387364159238, 'n': 110, 'trace_an': 3}
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id: 269790110
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id: 269790112
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{'hecke_orbit_code': 153122387364159238, 'n': 115, 'trace_an': 30}
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id: 269790115
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id: 269790116
{'hecke_orbit_code': 153122387364159238, 'n': 117, 'trace_an': -6}
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id: 269790120
{'hecke_orbit_code': 153122387364159238, 'n': 121, 'trace_an': 3}
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id: 269790125
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{'hecke_orbit_code': 153122387364159238, 'n': 149, 'trace_an': 6}
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id: 269790200
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id: 269790992
{'hecke_orbit_code': 153122387364159238, 'n': 993, 'trace_an': -126}
-
id: 269790993
{'hecke_orbit_code': 153122387364159238, 'n': 994, 'trace_an': -12}
-
id: 269790994
{'hecke_orbit_code': 153122387364159238, 'n': 995, 'trace_an': 96}
-
id: 269790995
{'hecke_orbit_code': 153122387364159238, 'n': 996, 'trace_an': 15}
-
id: 269790996
{'hecke_orbit_code': 153122387364159238, 'n': 997, 'trace_an': 72}
-
id: 269790997
{'hecke_orbit_code': 153122387364159238, 'n': 998, 'trace_an': 36}
-
id: 269790998
{'hecke_orbit_code': 153122387364159238, 'n': 999, 'trace_an': -18}
-
id: 269790999
{'hecke_orbit_code': 153122387364159238, 'n': 1000, 'trace_an': -24}