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{'Nk2': 20328, 'analytic_conductor': 40.57997430721469, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -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': [5082, 1, [3389, 4357, 2059], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': [[5, [-2, 1]], [13, [-2, 1]], [17, [-2, 1]], [19, [0, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189375962, 'hecke_ring_generator_nbound': 1, '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': '5082.2.a.n', 'level': 5082, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.a.g', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}+q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/5082/n'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5082.2.a', 'trace_display': [-1, 1, 2, 1], 'trace_hash': 2200193152042528866, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.037', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.082', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [1], [2], [-1], [1], [-1], [1], [-2], [0], [1], [2], [-1], [2], [1], [2], [-1], [0], [2], [1], [0], [0], [-1], [-1], [-2], [1], [1], [2], [-2], [4], [-1], [0], [-2], [2], [1], [-2], [0], [2], [-2], [10], [-1], [-4], [0], [2], [0], [4], [1], [1], [1], [2], [2], [-2], [-1], [0], [-1], [0], [-2], [-12], [2], [2], [-4], [1], [1], [4], [0], [12], [2], [0], [-2], [8], [-1], [-6], [2], [-1], [0], [0], [-2], [8], [2], [1], [-10], [8], [1], [4], [4], [2], [0], [-14], [-2], [2], [0], [4], [-4], [0], [-1], [-14], [-1], [0], [-1]], 'ap': [[-1], [1], [2], [1], [0], [2], [2], [0], [0], [2], [4], [-2], [10], [-4], [4], [-2], [-12], [2], [12], [8], [-6], [8], [8], [-14], [-14], [10], [4], [12], [-14], [18], [-8], [0], [10], [0], [10], [-8], [18], [4], [0], [-6], [12], [2], [-8], [-2], [-6], [20], [-12], [20], [0], [-14], [6], [-16], [-30], [4], [-6], [-32], [10], [8], [10], [-10], [-16], [-14], [-8], [20], [-30], [22], [20], [22], [12], [26], [-6], [32], [-28], [-22], [-20], [12], [22], [-30], [18], [-14], [-12], [6], [40], [18], [-16], [-12], [-30], [38], [18], [16], [4], [32], [-32], [36], [28], [-16], [10], [-30], [16], [-30], [44], [-14], [0], [22], [-44], [10], [-28], [34], [-24], [18], [-32], [-38], [26], [-20], [0], [18], [44], [-28], [30], [20], [18], [-26], [-14], [-28], [28], [-30], [-2], [28], [28], [-46], [-20], [40], [-8], [-18], [2], [26], [10], [-32], [34], [14], [0], [-22], [-48], [36], [-6], [-12], [-6], [34], [4], [24], [2], [-14], [-28], [-24], [-12], [-40], [40], [-54], [-22], [-6], [4], [-18], [40], [-52], [2], [-4], [16], [-14], [46], [-14], [-36], [-14], [-24], [-18], [-4], [-54], [-28], [-42], [-32], [42], [16], [0], [30], [-46], [-16], [-30], [2], [20], [-2], [-24], [10], [28], [-20], [-30], [-52], [34], [-58], [-10], [-30], [32], [-14], [24], [-6], [-46], [44], [-22], [-52], [-52], [-18], [-52], [22], [-6], [56], [20], [-48], [-46], [40], [42], [8], [-18], [10], [0], [-46], [-48], [16], [-70], [-70], [-48], [48], [-36], [-58], [-16], [32], [-66], [44], [-56], [50], [10], [-36], [-36], [-36], [40], [-28], [-50], [-38], [-32], [76], [12], [-44], [-24], [-62], [-14], [-56], [26], [-6], [36], [46], [16], [66], [26], [32], [28], [-6], [58], [66], [12], [6], [-54], [-76], [58], [18], [68], [18], [-56], [18], [-36], [12], [34], [-74], [-8], [-32], [-72], [24], [34], [72], [24], [-30], [26], [-12], [42], [54], [68], [-10], [64], [18], [-78], [28], [-78], [-56], [-8], [66], [-78], [-72], [12], [60], [-62], [60], [-70], [24], [-6], [64], [-10], [14], [-4], [24], [-22], [44], [-72], [74], [-66], [0], [26], [58], [24], [30], [-22], [36], [28], [-8], [90], [18], [30], [8], [0], [20], [12], [54], [-54], [-38], [-32], [-10], [-22], [-62], [32], [-66], [-20], [34], [-68], [-80], [10], [-40], [90], [-90], [48], [-22], [-14], [36], [40], [6], [8], [-6], [50], [-48], [-60], [-60], [90], [-22], [16], [6], [-12], [76], [24], [74], [88], [14], [36], [-56], [-70], [-78], [74], [-30], [-70], [32], [-26], [24], [36], [72], [-30], [76], [68], [-46], [-54], [60], [-52], [24], [62], [-32], [58], [20], [-54], [50], [-30], [64], [42], [-30], [80], [-66], [38], [-44], [68], [-14], [-22], [-52], [60], [30], [82], [24], [28], [2], [40], [-34], [-22], [48], [0], [18], [34], [76], [6], [-4], [-40]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 58546795189375962, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '5082.2.a.n', 'level': 5082, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [11, -1]], 4, 3], [[[2, 1], [3, -1], [7, 1], [11, 1]], 8, 3], [[[2, -1], [3, 1], [7, 1], [11, 1]], 10, 5], [[[2, 1], [3, 1], [7, -1], [11, -1]], 6, 3], [[[2, -1], [3, -1], [7, 1], [11, 1]], 5, 3], [[[2, -1], [3, 1], [7, -1], [11, -1]], 9, 6], [[[2, 1], [3, -1], [7, -1], [11, -1]], 6, 4], [[[2, -1], [3, -1], [7, 1], [11, -1]], 9, 4], [[[2, -1], [3, -1], [7, -1], [11, 1]], 10, 3], [[[2, 1], [3, -1], [7, 1], [11, -1]], 6, 3], [[[2, -1], [3, 1], [7, -1], [11, 1]], 5, 3], [[[2, 1], [3, 1], [7, 1], [11, 1]], 7, 3], [[[2, 1], [3, 1], [7, -1], [11, 1]], 8, 5], [[[2, -1], [3, 1], [7, 1], [11, -1]], 4, 3], [[[2, 1], [3, 1], [7, 1], [11, -1]], 6, 5], [[[2, 1], [3, -1], [7, -1], [11, 1]], 7, 3]], 'ALdims': [7, 6, 8, 6, 8, 6, 7, 6, 10, 4, 5, 9, 5, 9, 10, 4], 'Nk2': 20328, 'analytic_conductor': 40.57997430721469, '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': [5082, 1, [3389, 4357, 2059], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1009, 'dim': 110, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17, 19], 'hecke_orbit_code': 33559514, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '5082.2.a', 'level': 5082, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 1104, 'mf_new_dim': 110, 'num_forms': 59, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 110, 'sturm_bound': 2112, 'trace_bound': 13, 'trace_display': [2, 0, 4, 0], 'traces': [110, 2, 0, 110, 4, 0, 0, 2, 110, 4, 0, 0, -12, 0, -8, 110, 4, 2, 0, 4, -2, 0, 0, 0, 114, 4, 0, 0, 28, -8, -32, 2, 0, 4, 8, 110, 4, 0, -8, 4, 20, 2, 0, 0, 4, -8, -16, 0, 110, -2, -8, -12, -4, 0, 0, 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16, 4, -176, 104, 0, 552, -80, -432, -32, 4, 216, 240, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1241697
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '5082.2.a.n', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '462.2.a.g', 'target_level': 462, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1241698
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '5082.2.a.n', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1386.2.a.a', 'target_level': 1386, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1241699
{'conductor': 77, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '5082.2.a.n', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3234.2.a.p', 'target_level': 3234, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1241700
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '5082.2.a.n', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3696.2.a.m', 'target_level': 3696, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1241701
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '5082.2.a.n', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '5082.2.a.n', 'target_level': 5082, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1241702
{'conductor': 231, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '5082.2.a.n', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '9702.2.a.r', 'target_level': 9702, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '231.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3794225
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 2}
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id: 3794226
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 3}
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id: 3794227
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 5}
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id: 3794228
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 7}
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id: 3794229
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 11}
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id: 3794230
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 13}
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id: 3794231
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 17}
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id: 3794232
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 19}
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id: 3794233
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 23}
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id: 3794234
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 29}
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id: 3794235
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 31}
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id: 3794236
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 37}
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id: 3794237
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 41}
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id: 3794238
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 43}
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id: 3794239
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 47}
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id: 3794240
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 53}
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id: 3794241
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 59}
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id: 3794242
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 61}
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id: 3794243
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 67}
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id: 3794244
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 71}
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id: 3794245
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 73}
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id: 3794246
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 79}
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id: 3794247
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 83}
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id: 3794248
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 89}
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id: 3794249
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 58546795189375962, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '5082.2.a.n', 'level': 5082, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 227107000
{'hecke_orbit_code': 58546795189375962, 'n': 1, 'trace_an': 1}
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id: 227107001
{'hecke_orbit_code': 58546795189375962, 'n': 2, 'trace_an': -1}
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id: 227107002
{'hecke_orbit_code': 58546795189375962, 'n': 3, 'trace_an': 1}
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id: 227107003
{'hecke_orbit_code': 58546795189375962, 'n': 4, 'trace_an': 1}
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id: 227107004
{'hecke_orbit_code': 58546795189375962, 'n': 5, 'trace_an': 2}
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id: 227107005
{'hecke_orbit_code': 58546795189375962, 'n': 6, 'trace_an': -1}
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id: 227107006
{'hecke_orbit_code': 58546795189375962, 'n': 7, 'trace_an': 1}
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id: 227107007
{'hecke_orbit_code': 58546795189375962, 'n': 8, 'trace_an': -1}
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id: 227107008
{'hecke_orbit_code': 58546795189375962, 'n': 9, 'trace_an': 1}
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id: 227107009
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id: 227107981
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id: 227107982
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id: 227107984
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id: 227107985
{'hecke_orbit_code': 58546795189375962, 'n': 986, 'trace_an': -4}
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id: 227107986
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id: 227107989
{'hecke_orbit_code': 58546795189375962, 'n': 990, 'trace_an': 0}
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id: 227107990
{'hecke_orbit_code': 58546795189375962, 'n': 991, 'trace_an': 16}
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id: 227107991
{'hecke_orbit_code': 58546795189375962, 'n': 992, 'trace_an': -4}
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id: 227107992
{'hecke_orbit_code': 58546795189375962, 'n': 993, 'trace_an': 20}
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id: 227107993
{'hecke_orbit_code': 58546795189375962, 'n': 994, 'trace_an': -8}
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id: 227107994
{'hecke_orbit_code': 58546795189375962, 'n': 995, 'trace_an': 40}
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id: 227107995
{'hecke_orbit_code': 58546795189375962, 'n': 996, 'trace_an': 8}
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id: 227107996
{'hecke_orbit_code': 58546795189375962, 'n': 997, 'trace_an': -14}
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id: 227107997
{'hecke_orbit_code': 58546795189375962, 'n': 998, 'trace_an': -28}
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id: 227107998
{'hecke_orbit_code': 58546795189375962, 'n': 999, 'trace_an': -2}
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id: 227107999
{'hecke_orbit_code': 58546795189375962, 'n': 1000, 'trace_an': 12}