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mf_newforms • Show schema
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{'Nk2': 456, 'analytic_conductor': 0.9102945830425964, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 9, 'char_parity': 1, 'char_values': [114, 9, [77, 97], [9, 7]], 'cm_discs': [], 'conrey_index': 25, 'conrey_indexes': [25, 43, 55, 61, 73, 85], 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, 12, 60, -46, 12, -3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007749044109426, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 5, 1, 9, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '114.2.i.c', 'level': 114, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '114.2.i.c', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 5, 'qexp_display': 'q-\\zeta_{18}q^{2}-\\zeta_{18}^{4}q^{3}+\\zeta_{18}^{2}q^{4}+(1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '114.2.i', 'trace_display': [0, 0, 3, -3], 'trace_hash': 769292342364135415, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.037', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.560', 'prec': 17}, {'__RealLiteral__': 0, 'data': '108.747', 'prec': 24}, {'__RealLiteral__': 0, 'data': '17.527', 'prec': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 456, 'analytic_conductor': 0.9102945830425964, 'char_conductor': 19, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 9, 'char_parity': 1, 'char_values': [114, 9, [77, 97], [9, 7]], 'conrey_index': 25, 'cusp_dim': 96, 'dim': 24, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 549789368434, 'hecke_orbit_dims': [6, 6, 6, 6], 'label': '114.2.i', 'level': 114, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 144, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 5, 'relative_dim': 4, 'sturm_bound': 40, 'trace_bound': 5, 'trace_display': [0, 0, 0, 12], 'traces': [24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 12, 0, 0, -24, -24, 0, -12, 0, -24, -24, -24, 24, 0, 0, 12, -12, 0, 0, 0, 0, -12, 0, 12, 12, -12, 0, 0, 12, 0, 0, -12, 12, -24, 12, 12, 12, 12, 0, -24, 0, 0, 0, 48, 0, 0, 24, 12, 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mf_twists_cc • Show schema
Hide schema
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id: 41081171
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 85, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109426, 'source_is_minimal': True, 'source_label': '114.2.i.c.85.1', 'source_level': 114, 'target_conrey_index': 85, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109426, 'target_is_minimal': True, 'target_label': '114.2.i.c.85.1', 'target_level': 114, 'twist_class_label': '114.2.i.c.55.1', 'twist_class_level': 114, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41081172
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 85, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109426, 'source_is_minimal': True, 'source_label': '114.2.i.c.85.1', 'source_level': 114, 'target_conrey_index': 199, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050459990, 'target_is_minimal': False, 'target_label': '342.2.u.b.199.1', 'target_level': 342, 'twist_class_label': '114.2.i.c.55.1', 'twist_class_level': 114, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41081173
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 85, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109426, 'source_is_minimal': True, 'source_label': '114.2.i.c.85.1', 'source_level': 114, 'target_conrey_index': 769, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513547694736272, 'target_is_minimal': False, 'target_label': '912.2.bo.d.769.1', 'target_level': 912, 'twist_class_label': '114.2.i.c.55.1', 'twist_class_level': 114, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41081174
{'conductor': 19, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 85, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109426, 'source_is_minimal': True, 'source_label': '114.2.i.c.85.1', 'source_level': 114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193698855030, 'target_is_minimal': False, 'target_label': '2166.2.a.r.1.2', 'target_level': 2166, 'twist_class_label': '114.2.i.c.55.1', 'twist_class_level': 114, 'twisting_char_label': '19.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 41081175
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 85, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109426, 'source_is_minimal': True, 'source_label': '114.2.i.c.85.1', 'source_level': 114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444114038, 'target_is_minimal': False, 'target_label': '2166.2.a.p.1.2', 'target_level': 2166, 'twist_class_label': '114.2.i.c.55.1', 'twist_class_level': 114, 'twisting_char_label': '19.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 41081176
{'conductor': 19, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 85, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109426, 'source_is_minimal': True, 'source_label': '114.2.i.c.85.1', 'source_level': 114, 'target_conrey_index': 55, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109426, 'target_is_minimal': True, 'target_label': '114.2.i.c.55.1', 'target_level': 114, 'twist_class_label': '114.2.i.c.55.1', 'twist_class_level': 114, 'twisting_char_label': '19.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 41081177
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 85, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109426, 'source_is_minimal': True, 'source_label': '114.2.i.c.85.1', 'source_level': 114, 'target_conrey_index': 55, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050459990, 'target_is_minimal': False, 'target_label': '342.2.u.b.55.1', 'target_level': 342, 'twist_class_label': '114.2.i.c.55.1', 'twist_class_level': 114, 'twisting_char_label': '57.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 41081178
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 85, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109426, 'source_is_minimal': True, 'source_label': '114.2.i.c.85.1', 'source_level': 114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 207165582892603746, 'target_is_minimal': False, 'target_label': '6498.2.a.bu.1.2', 'target_level': 6498, 'twist_class_label': '114.2.i.c.55.1', 'twist_class_level': 114, 'twisting_char_label': '57.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 41081179
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 85, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109426, 'source_is_minimal': True, 'source_label': '114.2.i.c.85.1', 'source_level': 114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 184647584755751266, 'target_is_minimal': False, 'target_label': '6498.2.a.bp.1.2', 'target_level': 6498, 'twist_class_label': '114.2.i.c.55.1', 'twist_class_level': 114, 'twisting_char_label': '57.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 41081180
{'conductor': 76, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 85, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109426, 'source_is_minimal': True, 'source_label': '114.2.i.c.85.1', 'source_level': 114, 'target_conrey_index': 625, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513547694736272, 'target_is_minimal': False, 'target_label': '912.2.bo.d.625.1', 'target_level': 912, 'twist_class_label': '114.2.i.c.55.1', 'twist_class_level': 114, 'twisting_char_label': '76.55', 'twisting_conrey_index': 55, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 327175
{'charpoly_factorization': [[[1, 0, 0, 1, 0, 0, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 2}
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id: 327176
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 3}
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id: 327177
{'charpoly_factorization': [[[1, 12, 60, -46, 12, -3, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 5}
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id: 327178
{'charpoly_factorization': [[[3249, 1026, 495, 60, 27, 3, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 7}
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id: 327179
{'charpoly_factorization': [[[1369, 777, 441, 74, 21, 0, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 11}
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id: 327180
{'charpoly_factorization': [[[1, -9, 27, -28, 36, -9, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 13}
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id: 327181
{'charpoly_factorization': [[[9, -27, 9, 24, 18, 3, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 17}
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id: 327182
{'charpoly_factorization': [[[6859, 0, 0, 107, 0, 0, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 19}
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id: 327183
{'charpoly_factorization': [[[157609, -85752, 22626, -3556, 378, -27, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 23}
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id: 327184
{'charpoly_factorization': [[[1, -12, 60, 46, 12, 3, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 29}
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id: 327185
{'charpoly_factorization': [[[11881, 7848, 3549, 862, 153, 15, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 31}
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id: 327186
{'charpoly_factorization': [[[17, -45, 3, 1], 2]], 'hecke_orbit_code': 9007749044109426, 'p': 37}
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id: 327187
{'charpoly_factorization': [[[2809, 2703, 1308, 316, 87, 15, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 41}
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id: 327188
{'charpoly_factorization': [[[63001, 17319, 2406, 280, -3, -3, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 43}
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id: 327189
{'charpoly_factorization': [[[5041, 1491, 570, 80, 51, -15, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 47}
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id: 327190
{'charpoly_factorization': [[[395641, 18870, 6186, 1205, -30, -6, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 53}
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id: 327191
{'charpoly_factorization': [[[81, -567, 1701, -72, 198, 27, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 59}
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id: 327192
{'charpoly_factorization': [[[289, 408, 375, 215, 84, 15, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 61}
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id: 327193
{'charpoly_factorization': [[[7017201, 619866, 10890, 834, 72, 3, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 67}
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id: 327194
{'charpoly_factorization': [[[26569, 9291, 14946, 1304, -87, -3, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 71}
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id: 327195
{'charpoly_factorization': [[[3249, 1539, 522, 300, 54, -12, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 73}
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id: 327196
{'charpoly_factorization': [[[32761, -27693, 9918, -2152, 351, -27, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 79}
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id: 327197
{'charpoly_factorization': [[[2601, 1836, 1143, 210, 45, -3, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 83}
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id: 327198
{'charpoly_factorization': [[[239121, -92421, 35406, -7104, 756, -42, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 89}
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id: 327199
{'charpoly_factorization': [[[218089, 121887, 19332, 451, 171, -18, 1], 1]], 'hecke_orbit_code': 9007749044109426, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 3, 'label': '114.2.i.c', 'level': 114, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 120685000
{'hecke_orbit_code': 9007749044109426, 'n': 1, 'trace_an': 6}
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id: 120685001
{'hecke_orbit_code': 9007749044109426, 'n': 2, 'trace_an': 0}
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id: 120685002
{'hecke_orbit_code': 9007749044109426, 'n': 3, 'trace_an': 0}
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id: 120685003
{'hecke_orbit_code': 9007749044109426, 'n': 4, 'trace_an': 0}
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id: 120685004
{'hecke_orbit_code': 9007749044109426, 'n': 5, 'trace_an': 3}
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id: 120685005
{'hecke_orbit_code': 9007749044109426, 'n': 6, 'trace_an': 0}
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id: 120685006
{'hecke_orbit_code': 9007749044109426, 'n': 7, 'trace_an': -3}
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id: 120685007
{'hecke_orbit_code': 9007749044109426, 'n': 8, 'trace_an': -3}
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id: 120685008
{'hecke_orbit_code': 9007749044109426, 'n': 9, 'trace_an': 0}
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id: 120685009
{'hecke_orbit_code': 9007749044109426, 'n': 10, 'trace_an': -6}
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id: 120685010
{'hecke_orbit_code': 9007749044109426, 'n': 11, 'trace_an': 0}
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id: 120685011
{'hecke_orbit_code': 9007749044109426, 'n': 12, 'trace_an': 3}
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id: 120685012
{'hecke_orbit_code': 9007749044109426, 'n': 13, 'trace_an': 9}
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id: 120685013
{'hecke_orbit_code': 9007749044109426, 'n': 14, 'trace_an': -12}
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id: 120685014
{'hecke_orbit_code': 9007749044109426, 'n': 15, 'trace_an': -3}
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id: 120685015
{'hecke_orbit_code': 9007749044109426, 'n': 16, 'trace_an': 0}
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id: 120685016
{'hecke_orbit_code': 9007749044109426, 'n': 17, 'trace_an': -3}
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id: 120685017
{'hecke_orbit_code': 9007749044109426, 'n': 18, 'trace_an': 6}
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id: 120685018
{'hecke_orbit_code': 9007749044109426, 'n': 19, 'trace_an': 0}
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id: 120685019
{'hecke_orbit_code': 9007749044109426, 'n': 20, 'trace_an': -12}
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id: 120685020
{'hecke_orbit_code': 9007749044109426, 'n': 21, 'trace_an': -15}
-
id: 120685021
{'hecke_orbit_code': 9007749044109426, 'n': 22, 'trace_an': 15}
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id: 120685022
{'hecke_orbit_code': 9007749044109426, 'n': 23, 'trace_an': 27}
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id: 120685023
{'hecke_orbit_code': 9007749044109426, 'n': 24, 'trace_an': 0}
-
id: 120685024
{'hecke_orbit_code': 9007749044109426, 'n': 25, 'trace_an': -15}
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id: 120685025
{'hecke_orbit_code': 9007749044109426, 'n': 26, 'trace_an': -6}
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id: 120685026
{'hecke_orbit_code': 9007749044109426, 'n': 27, 'trace_an': 3}
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id: 120685027
{'hecke_orbit_code': 9007749044109426, 'n': 28, 'trace_an': 15}
-
id: 120685028
{'hecke_orbit_code': 9007749044109426, 'n': 29, 'trace_an': -3}
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id: 120685029
{'hecke_orbit_code': 9007749044109426, 'n': 30, 'trace_an': -6}
-
id: 120685030
{'hecke_orbit_code': 9007749044109426, 'n': 31, 'trace_an': -15}
-
id: 120685031
{'hecke_orbit_code': 9007749044109426, 'n': 32, 'trace_an': 0}
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id: 120685032
{'hecke_orbit_code': 9007749044109426, 'n': 33, 'trace_an': 3}
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id: 120685033
{'hecke_orbit_code': 9007749044109426, 'n': 34, 'trace_an': 6}
-
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