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mf_newforms • Show schema
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{'Nk2': 11400, 'analytic_conductor': 22.75736457606491, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2850, 2, [1901, 1027, 1351], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 799, 'conrey_indexes': [799], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, 0, 1]], [11, [6, 1]], [13, [0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532602838321954, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [0, 1], [-1, 0], [0, 0], [1, 0], [0, 2], [0, 1], [-1, 0], [0, 0], [-6, 0], [0, -1], [0, 0], [2, 0], [0, 0], [1, 0], [0, 2], [0, 1], [1, 0], [0, 0], [-2, 0], [0, 6], [0, -4], [-1, 0], [0, 0], [0, 0], [0, -1], [0, -2], [8, 0], [0, 0], [-8, 0], [0, -1], [0, -6], [2, 0], [0, 0], [1, 0], [0, -4], [0, -1], [0, 0], [0, 0], [-4, 0], [0, 2], [0, 6], [6, 0], [0, 0], [-4, 0], [0, -12], [0, 1], [3, 0], [0, 0], [-2, 0], [0, 0], [0, -6], [-1, 0], [0, 0], [-2, 0], [0, 1], [0, -8], [4, 0], [0, 0], [2, 0], [0, 8], [0, -2], [-1, 0], [0, 0], [-6, 0], [0, -8], [0, -2], [4, 0], [0, 0], [0, 0], [0, -1], [0, -6], [-4, 0], [0, 0], [-1, 0], [0, -12], [0, 0], [-8, 0], [0, 0], [1, 0], [0, 4], [0, -4], [2, 0], [0, 0], [6, 0], [0, 8], [0, -6], [4, 0], [0, 0], [0, 0], [0, 4], [0, -8], [-12, 0], [0, 0], [1, 0], [0, 12], [0, -3], [6, 0], [0, 0]], 'ap': [[0, -1], [0, 1], [0, 0], [0, 2], [-6, 0], [0, 0], [0, 2], [1, 0], [0, -4], [8, 0], [-8, 0], [0, -4], [-4, 0], [0, 6], [0, -12], [0, -6], [4, 0], [2, 0], [0, -8], [0, 0], [0, -6], [-8, 0], [0, -4], [4, 0], [0, 12], [-10, 0], [0, 0], [0, -12], [14, 0], [0, -14], [0, -12], [22, 0], [0, 6], [0, 0], [-22, 0], [0, 0], [0, 6], [0, -6], [0, -16], [0, -18], [-12, 0], [2, 0], [-22, 0], [0, 8], [0, 14], [-20, 0], [-28, 0], [0, 16], [0, -28], [-18, 0], [0, -14], [18, 0], [-22, 0], [-14, 0], [0, 6], [0, -16], [-8, 0], [20, 0], [0, -2], [16, 0], [0, -22], [0, -10], [0, -8], [-6, 0], [0, 14], [0, 6], [-20, 0], [0, -20], [0, 36], [2, 0], [0, 18], [6, 0], [0, -10], [0, 24], [-20, 0], [0, -24], [30, 0], [0, 22], [0, 0], [-14, 0], [14, 0], [-2, 0], [36, 0], [0, 0], [8, 0], [0, 24], [4, 0], [0, -14], [-34, 0], [0, 26], [0, -8], [-18, 0], [0, 16], [-34, 0], [-24, 0], [0, -40], [-36, 0], [24, 0], [0, -20], [-10, 0], [0, 40], [0, -22], [0, -4], [20, 0], [16, 0], [0, -38], [0, 24], [0, -14], [36, 0], [-10, 0], [0, 40], [0, 10], [0, -38], [8, 0], [0, 0], [-12, 0], [0, 26], [0, -24], [0, 18], [48, 0], [26, 0], [0, 28], [0, 22], [0, 36], [-8, 0], [6, 0], [-50, 0], [-14, 0], [0, 14], [0, -18], [28, 0], [0, 8], [40, 0], [0, -38], [-18, 0], [14, 0], [0, -6], [0, 44], [0, 2], [30, 0], [-28, 0], [-50, 0], [0, -14], [0, -36], [30, 0], [-24, 0], [0, -26], [0, 18], [-20, 0], [0, -24], [0, -32], [14, 0], [0, -14], [0, -8], [0, -28], [16, 0], [-32, 0], [6, 0], [0, -34], [-40, 0], [0, 44], [0, 34], [0, -18], [-24, 0], [0, 42], [0, -24], [8, 0], [0, -58], [6, 0], [0, -58], [-24, 0], [54, 0], [-54, 0], [0, -34], [-16, 0], [54, 0], [-40, 0], [6, 0], [0, -48], [-14, 0], [0, 34], [-32, 0], [0, -16], [0, -26], [0, 36], [2, 0], [0, 28], [0, -36], [42, 0], [-18, 0], [0, -32], [0, 0], [20, 0], [-56, 0], [0, -24], [0, -14], [-2, 0], [0, -10], [0, 50], [0, 36], [32, 0], [-8, 0], [0, -16], [-10, 0], [-30, 0], [0, -66], [-48, 0], [0, 20], [-46, 0], [-60, 0], [0, 18], [42, 0], [0, 26], [0, 68], [4, 0], [-42, 0], [0, -26], [-40, 0], [0, -40], [0, -30], [14, 0], [56, 0], [-36, 0], [0, 14], [0, 28], [10, 0], [0, -14], [-52, 0], [0, 4], [-58, 0], [0, -58], [-4, 0], [16, 0], [-36, 0], [0, -10], [0, -60], [50, 0], [0, 22], [-54, 0], [12, 0], [0, -12], [-68, 0], [0, -10], [-26, 0], [0, -18], [-6, 0], [0, 42], [52, 0], [28, 0], [0, -56], [0, -62], [-30, 0], [0, 32], [34, 0], [0, 34], [46, 0], [-38, 0], [0, 76], [0, -18], [0, 22], [0, -40], [0, -12], [-54, 0], [0, -16], [0, 2], [76, 0], [-40, 0], [-38, 0], [0, 76], [0, 42], [-26, 0], [0, -56], [0, 42], [44, 0], [0, 12], [0, -46], [0, -60], [30, 0], [-42, 0], [-42, 0], [0, 80], [-72, 0], [0, 12], [70, 0], [0, -22], [42, 0], [0, -26], [0, -50], [64, 0], [20, 0], [70, 0], [0, -68], [0, -66], [-8, 0], [0, 8], [22, 0], [72, 0], [0, -46], [20, 0], [0, 42], [0, 50], [0, 38], [0, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 40532602838321954, 'hecke_ring_character_values': [[1901, [1, 0]], [1027, [-1, 0]], [1351, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2850.2.d.j', 'level': 2850, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 11400, 'analytic_conductor': 22.75736457606491, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2850, 2, [1901, 1027, 1351], [2, 1, 2]], 'conrey_index': 799, 'cusp_dim': 576, 'dim': 56, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 206191987490, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '2850.2.d', 'level': 2850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 624, 'mf_new_dim': 56, 'num_forms': 24, 'prim_orbit_index': 2, 'relative_dim': 56, 'sturm_bound': 1200, 'trace_bound': 26, 'trace_display': [0, 0, 0, 0], 'traces': [56, 0, 0, -56, 0, 4, 0, 0, -56, 0, 8, 0, 0, 0, 0, 56, 0, 0, -4, 0, 0, 0, 0, -4, 0, 24, 0, 0, 8, 0, -40, 0, 0, -8, 0, 56, 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0, 0, -4, 0, -320, 0, 0, 384, 0, 184, 0, 0, 128, 0, -16, 0, 0, -232, 0, -768, 0, 0, 8, 0, -32, 0, 0, 560, 0, -32, 0, 0, -160, 0, 0, 0, 0, 176, 0, 448, 0, 0, 40, 0, -448, 0, 0, -176, 0, 32, 0, 0, -264, 0, -48, 0, 0, 416, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1008053
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2850.2.d.j', 'source_level': 2850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '570.2.a.b', 'target_level': 570, 'twist_class_label': '570.2.a.b', 'twist_class_level': 570, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1008054
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2850.2.d.j', 'source_level': 2850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1710.2.a.s', 'target_level': 1710, 'twist_class_label': '570.2.a.b', 'twist_class_level': 570, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1008055
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2850.2.d.j', 'source_level': 2850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '2850.2.a.y', 'target_level': 2850, 'twist_class_label': '570.2.a.b', 'twist_class_level': 570, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1008056
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2850.2.d.j', 'source_level': 2850, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2850.2.d.j', 'target_level': 2850, 'twist_class_label': '570.2.a.b', 'twist_class_level': 570, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1008057
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2850.2.d.j', 'source_level': 2850, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2850.2.d.j', 'target_level': 2850, 'twist_class_label': '570.2.a.b', 'twist_class_level': 570, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1008058
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2850.2.d.j', 'source_level': 2850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4560.2.a.r', 'target_level': 4560, 'twist_class_label': '570.2.a.b', 'twist_class_level': 570, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1008059
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2850.2.d.j', 'source_level': 2850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '8550.2.a.g', 'target_level': 8550, 'twist_class_label': '570.2.a.b', 'twist_class_level': 570, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2881225
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532602838321954, 'p': 2}
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id: 2881226
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532602838321954, 'p': 3}
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id: 2881227
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532602838321954, 'p': 5}
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id: 2881228
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 40532602838321954, 'p': 7}
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id: 2881229
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 40532602838321954, 'p': 11}
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id: 2881230
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532602838321954, 'p': 13}
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id: 2881231
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 40532602838321954, 'p': 17}
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id: 2881232
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 40532602838321954, 'p': 19}
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id: 2881233
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 40532602838321954, 'p': 23}
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id: 2881234
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 40532602838321954, 'p': 29}
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id: 2881235
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 40532602838321954, 'p': 31}
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id: 2881236
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 40532602838321954, 'p': 37}
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id: 2881237
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 40532602838321954, 'p': 41}
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id: 2881238
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 40532602838321954, 'p': 43}
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id: 2881239
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 40532602838321954, 'p': 47}
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id: 2881240
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 40532602838321954, 'p': 53}
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id: 2881241
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 40532602838321954, 'p': 59}
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id: 2881242
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 40532602838321954, 'p': 61}
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id: 2881243
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 40532602838321954, 'p': 67}
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id: 2881244
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532602838321954, 'p': 71}
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id: 2881245
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 40532602838321954, 'p': 73}
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id: 2881246
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 40532602838321954, 'p': 79}
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id: 2881247
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 40532602838321954, 'p': 83}
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id: 2881248
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 40532602838321954, 'p': 89}
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id: 2881249
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 40532602838321954, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 10, 'label': '2850.2.d.j', 'level': 2850, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 208691000
{'hecke_orbit_code': 40532602838321954, 'n': 1, 'trace_an': 2}
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id: 208691001
{'hecke_orbit_code': 40532602838321954, 'n': 2, 'trace_an': 0}
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id: 208691002
{'hecke_orbit_code': 40532602838321954, 'n': 3, 'trace_an': 0}
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id: 208691003
{'hecke_orbit_code': 40532602838321954, 'n': 4, 'trace_an': -2}
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{'hecke_orbit_code': 40532602838321954, 'n': 989, 'trace_an': 48}
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id: 208691989
{'hecke_orbit_code': 40532602838321954, 'n': 990, 'trace_an': 0}
-
id: 208691990
{'hecke_orbit_code': 40532602838321954, 'n': 991, 'trace_an': 16}
-
id: 208691991
{'hecke_orbit_code': 40532602838321954, 'n': 992, 'trace_an': 0}
-
id: 208691992
{'hecke_orbit_code': 40532602838321954, 'n': 993, 'trace_an': 0}
-
id: 208691993
{'hecke_orbit_code': 40532602838321954, 'n': 994, 'trace_an': 0}
-
id: 208691994
{'hecke_orbit_code': 40532602838321954, 'n': 995, 'trace_an': 0}
-
id: 208691995
{'hecke_orbit_code': 40532602838321954, 'n': 996, 'trace_an': -8}
-
id: 208691996
{'hecke_orbit_code': 40532602838321954, 'n': 997, 'trace_an': 0}
-
id: 208691997
{'hecke_orbit_code': 40532602838321954, 'n': 998, 'trace_an': 0}
-
id: 208691998
{'hecke_orbit_code': 40532602838321954, 'n': 999, 'trace_an': -8}
-
id: 208691999
{'hecke_orbit_code': 40532602838321954, 'n': 1000, 'trace_an': 0}