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{'Nk2': 33880, 'analytic_conductor': 67.63329051202449, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [7, 1], [11, -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': [8470, 1, [6777, 6051, 7141], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-2, -2, 1]], [13, [-8, 4, 1]], [17, [-12, 0, 1]], [19, [22, 10, 1]]], 'hecke_orbit': 44, 'hecke_orbit_code': 193654784010494230, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8470.2.a.br', 'level': 8470, '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, 5, 7, 11], 'level_radical': 770, 'minimal_twist': '770.2.a.j', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+(1+\\beta )q^{3}+q^{4}-q^{5}+(-1+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8470.2.a', 'trace_display': [-2, 2, -2, -2], 'trace_hash': 351032422404570715, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.960', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.586', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '65.820', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, 'traces': [2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 0, 2, -4, 2, -2, 2, 0, -2, -10, -2, -2, 0, -6, -2, 2, 4, 8, -2, 6, 2, 4, -2, 0, 0, 2, 2, -2, 10, 8, 2, -6, 2, -4, 0, -2, 6, 0, 2, 2, -2, 12, -4, -18, -8, 0, 2, -16, -6, 0, -2, -4, -4, -2, 2, 4, 0, -8, 0, -24, -2, 12, -2, 8, 2, 2, -10, 0, -8, 14, -2, 2, 6, 12, -2, 0, 4, 12, 0, 0, 2, 4, -6, 4, 0, 10, -2, -2, -2, 0, 2, -12, -12, 4, 4, 2, 18, 12, 8, 14, 0, 4, -2, -12, 16, 6, 6, 20, 0, 0, 2, 0, 4, 12, 4, -2, 2, -16, -2, -4, -4, 6, 0, 10, 8, -8, 0, 12, 24, -10, 2, 24, -12, 0, 2, -6, -8, 2, -2, 18, -2, 2, 10, 24, 0, -4, 8, 16, -14, -12, 2, 6, -2, -8, -6, 0, -12, 0, 2, 6, 0, -22, -4, 12, -12, -2, 0, 24, 0, -12, -2, 28, -4, 20, 6, 2, -4, 0, 0, -8, -10, -24, 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mf_newspaces • Show schema
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{'ALdims': [12, 15, 13, 15, 13, 15, 12, 15, 17, 10, 12, 15, 12, 15, 17, 10], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [73, 91, 89, 76, 89, 77, 84, 80, 79, 85, 84, 83, 90, 76, 73, 90], 'Nk2': 33880, 'analytic_conductor': 67.63329051202449, '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': [8470, 1, [6777, 6051, 7141], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1537, 'dim': 218, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 13, 17, 19], 'hecke_orbit_code': 33562902, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8], 'label': '8470.2.a', 'level': 8470, '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, 5, 7, 11], 'level_radical': 770, 'mf_dim': 1632, 'mf_new_dim': 218, 'num_forms': 86, 'plus_dim': 98, 'prim_orbit_index': 1, 'relative_dim': 218, 'sturm_bound': 3168, 'trace_bound': 13, 'trace_display': [-2, -4, 0, 0], 'traces': [218, -2, -4, 218, 0, -4, 0, -2, 210, 0, 0, -4, -8, 0, -4, 218, -4, -10, -4, 0, -4, 0, -8, -4, 218, -8, -40, 0, -20, -4, -40, -2, 0, -20, -2, 210, -4, -4, -24, 0, 20, 4, -16, 0, 16, 8, -24, -4, 218, -2, 8, -8, 36, 8, 0, 0, 0, -12, 28, -4, -16, 40, 16, 218, -4, 0, 16, -4, 16, 2, 32, -10, -12, -4, -4, -4, 0, 24, 16, 0, 218, -12, 20, -4, -16, -24, 8, 0, -20, -16, -4, -8, -16, 24, 20, -4, -20, -2, 0, 218, 0, 24, -40, -8, -4, 4, -40, -40, -36, 0, 56, 0, 28, 16, -8, -20, -8, 28, 8, -4, 0, 32, 56, -40, 0, -16, -24, -2, 0, -12, 76, 0, -12, 32, 8, -20, 12, 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mf_twists_cc • Show schema
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id: 48981139
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 193654784010494230, 'source_is_minimal': False, 'source_label': '8470.2.a.br.1.1', 'source_level': 8470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 193654784010494230, 'target_is_minimal': False, 'target_label': '8470.2.a.br.1.1', 'target_level': 8470, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48981140
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 193654784010494230, 'source_is_minimal': False, 'source_label': '8470.2.a.br.1.1', 'source_level': 8470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889666, 'target_is_minimal': True, 'target_label': '770.2.a.j.1.1', 'target_level': 770, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 48981141
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 193654784010494230, 'source_is_minimal': False, 'source_label': '8470.2.a.br.1.1', 'source_level': 8470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 211669182519974674, 'target_is_minimal': False, 'target_label': '6930.2.a.bv.1.2', 'target_level': 6930, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 48981142
{'conductor': 44, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 193654784010494230, 'source_is_minimal': False, 'source_label': '8470.2.a.br.1.1', 'source_level': 8470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953600016, 'target_is_minimal': False, 'target_label': '6160.2.a.t.1.2', 'target_level': 6160, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '44.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 48981143
{'conductor': 55, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 193654784010494230, 'source_is_minimal': False, 'source_label': '8470.2.a.br.1.1', 'source_level': 8470, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 103582928902033162, 'target_is_minimal': False, 'target_label': '3850.2.c.x.1849.4', 'target_level': 3850, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '55.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 48981144
{'conductor': 55, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 193654784010494230, 'source_is_minimal': False, 'source_label': '8470.2.a.br.1.1', 'source_level': 8470, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582928902033162, 'target_is_minimal': False, 'target_label': '3850.2.c.x.1849.1', 'target_level': 3850, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '55.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 48981145
{'conductor': 55, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 193654784010494230, 'source_is_minimal': False, 'source_label': '8470.2.a.br.1.1', 'source_level': 8470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227302666, 'target_is_minimal': False, 'target_label': '3850.2.a.bd.1.2', 'target_level': 3850, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '55.54', 'twisting_conrey_index': 54, 'weight': 2}
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id: 48981146
{'conductor': 77, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 193654784010494230, 'source_is_minimal': False, 'source_label': '8470.2.a.br.1.1', 'source_level': 8470, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637861646, 'target_is_minimal': False, 'target_label': '5390.2.a.bs.1.2', 'target_level': 5390, 'twist_class_label': '770.2.a.j.1.1', 'twist_class_level': 770, 'twisting_char_label': '77.76', 'twisting_conrey_index': 76, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4731175
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 193654784010494230, 'p': 2}
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id: 4731176
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 3}
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id: 4731177
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 193654784010494230, 'p': 5}
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id: 4731178
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 193654784010494230, 'p': 7}
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id: 4731179
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 193654784010494230, 'p': 11}
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id: 4731180
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 13}
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id: 4731181
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 17}
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id: 4731182
{'charpoly_factorization': [[[22, 10, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 19}
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id: 4731183
{'charpoly_factorization': [[[-18, 6, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 23}
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id: 4731184
{'charpoly_factorization': [[[6, -6, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 29}
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id: 4731185
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 193654784010494230, 'p': 31}
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id: 4731186
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 37}
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id: 4731187
{'charpoly_factorization': [[[-18, 6, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 41}
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id: 4731188
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 193654784010494230, 'p': 43}
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id: 4731189
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 47}
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id: 4731190
{'charpoly_factorization': [[[78, 18, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 53}
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id: 4731191
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 59}
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id: 4731192
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 61}
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id: 4731193
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 193654784010494230, 'p': 67}
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id: 4731194
{'charpoly_factorization': [[[24, -12, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 71}
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id: 4731195
{'charpoly_factorization': [[[-92, -8, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 73}
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id: 4731196
{'charpoly_factorization': [[[22, -14, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 79}
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id: 4731197
{'charpoly_factorization': [[[-72, -12, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 83}
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id: 4731198
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 89}
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id: 4731199
{'charpoly_factorization': [[[-242, 2, 1], 1]], 'hecke_orbit_code': 193654784010494230, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 44, 'label': '8470.2.a.br', 'level': 8470, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70995643
{'hecke_orbit_code': 193654784010494230, 'n': 1, 'trace_an': 2}
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id: 70995644
{'hecke_orbit_code': 193654784010494230, 'n': 2, 'trace_an': -2}
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id: 70995645
{'hecke_orbit_code': 193654784010494230, 'n': 3, 'trace_an': 2}
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id: 70995646
{'hecke_orbit_code': 193654784010494230, 'n': 4, 'trace_an': 2}
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id: 70995647
{'hecke_orbit_code': 193654784010494230, 'n': 5, 'trace_an': -2}
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id: 70995648
{'hecke_orbit_code': 193654784010494230, 'n': 6, 'trace_an': -2}
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id: 70995649
{'hecke_orbit_code': 193654784010494230, 'n': 7, 'trace_an': -2}
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id: 70995650
{'hecke_orbit_code': 193654784010494230, 'n': 8, 'trace_an': -2}
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id: 70995651
{'hecke_orbit_code': 193654784010494230, 'n': 9, 'trace_an': 2}
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id: 70995652
{'hecke_orbit_code': 193654784010494230, 'n': 10, 'trace_an': 2}
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id: 70995653
{'hecke_orbit_code': 193654784010494230, 'n': 11, 'trace_an': 0}
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id: 70995654
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