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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, '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, [6, 1]], [19, [-8, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208339930, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5082.2.a.v', 'level': 5082, '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, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.a.c', '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/v'], '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': 1427257267936321442, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.968', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.911', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.721', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [1, 1, -1, 1, 2, -1, 1, 1, 1, 2, 0, -1, -2, 1, -2, 1, -6, 1, 8, 2, -1, 0, 4, -1, -1, -2, -1, 1, -2, -2, 8, 1, 0, -6, 2, 1, 6, 8, 2, 2, -6, -1, -8, 0, 2, 4, 4, -1, 1, -1, 6, -2, 10, -1, 0, 1, -8, -2, 4, -2, 14, 8, 1, 1, -4, 0, -4, -6, -4, 2, -4, 1, 14, 6, 1, 8, 0, 2, 8, 2, 1, -6, -4, -1, -12, -8, 2, 0, -14, 2, -2, 4, -8, 4, 16, -1, 18, 1, 0, -1, 6, 6, -16, -2, -2, 10, 12, -1, -10, 0, -6, 1, 10, -8, 8, -2, -2, 4, -6, -2, 0, 14, 6, 8, -12, 1, -8, 1, 8, -4, 4, 0, 8, -4, -2, -6, -6, -4, 16, 2, -4, -4, 0, 1, -4, 14, -1, 6, -10, 1, -16, 8, -6, 0, 16, 2, -2, 8, -10, 2, 4, 1, 12, -6, 0, -4, 8, -1, -9, -12, 8, -8, 14, 2, -1, 0, -4, -14, -12, 2, -10, -2, -14, 4, 12, -8, 0, 4, -1, 16, -4, -1, 6, 18, 4, 1, 6, 0, -8, -1, 4, 6, -2, 6, 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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], [-6], [1], [8], [2], [-1], [0], [4], [-1], [-1], [-2], [-1], [1], [-2], [-2], [8], [1], [0], [-6], [2], [1], [6], [8], [2], [2], [-6], [-1], [-8], [0], [2], [4], [4], [-1], [1], [-1], [6], [-2], [10], [-1], [0], [1], [-8], [-2], [4], [-2], [14], [8], [1], [1], [-4], [0], [-4], [-6], [-4], [2], [-4], [1], [14], [6], [1], [8], [0], [2], [8], [2], [1], [-6], [-4], [-1], [-12], [-8], [2], [0], [-14], [2], [-2], [4], [-8], [4], [16], [-1], [18], [1], [0], [-1]], 'ap': [[1], [-1], [2], [1], [0], [-2], [-6], [8], [4], [-2], [8], [6], [-6], [-8], [4], [10], [4], [14], [-4], [-4], [14], [8], [-4], [-14], [18], [6], [-16], [12], [-10], [10], [-8], [4], [-6], [16], [-10], [-16], [-2], [12], [8], [14], [-12], [-10], [-4], [6], [6], [-8], [-8], [16], [4], [-10], [18], [8], [-2], [-20], [26], [-24], [2], [-8], [6], [-30], [0], [6], [8], [12], [-6], [18], [4], [22], [36], [22], [26], [-24], [0], [22], [20], [-28], [-30], [-18], [34], [22], [-12], [-26], [-32], [2], [40], [4], [-6], [-10], [-2], [-24], [20], [-24], [-24], [-20], [-28], [24], [2], [-30], [-16], [38], [-40], [-18], [-36], [-38], [-32], [18], [-12], [-30], [-12], [-42], [-24], [-2], [-46], [4], [-16], [-6], [28], [12], [10], [28], [-26], [22], [6], [-36], [12], [30], [-34], [12], [40], [14], [16], [-40], [8], [6], [-30], [38], [-22], [-8], [-22], [10], [-56], [-10], [8], [-28], [-26], [36], [-10], [18], [-4], [-44], [-2], [18], [44], [-32], [12], [20], [-16], [-22], [22], [-18], [-36], [-22], [48], [-12], [2], [-4], [-40], [-18], [-2], [18], [-4], [14], [-24], [30], [-32], [-22], [0], [-62], [56], [-26], [-8], [4], [-26], [18], [-12], [-46], [62], [-4], [-10], [8], [50], [-60], [-44], [42], [-36], [66], [14], [6], [-38], [40], [-50], [48], [38], [-26], [44], [-46], [-40], [52], [-6], [60], [-42], [-30], [32], [-36], [0], [58], [-64], [66], [-4], [42], [-10], [-64], [66], [-16], [12], [-10], [-54], [36], [-8], [60], [-50], [32], [16], [-70], [-44], [-48], [34], [22], [28], [-44], [-44], [0], [64], [38], [2], [48], [-64], [-4], [0], [16], [14], [50], [-44], [-38], [14], [-52], [22], [40], [-70], [62], [-24], [-12], [-10], [6], [-14], [-60], [74], [42], [8], [22], [-18], [-28], [10], [64], [-10], [24], [-12], [70], [22], [28], [24], [40], [0], [62], [-72], [-36], [34], [-26], [40], [18], [26], [-52], [18], [-12], [-34], [46], [-80], [-54], [4], [-32], [14], [-18], [64], [4], [4], [-62], [-12], [86], [76], [-26], [0], [42], [42], [-44], [-72], [-18], [-44], [24], [66], [-78], [40], [26], [-34], [64], [-46], [50], [44], [-60], [24], [54], [-82], [42], [16], [-44], [8], [-84], [6], [-14], [58], [-88], [-50], [66], [-90], [-88], [-94], [-36], [-58], [52], [-24], [-6], [16], [26], [34], [72], [-50], [-30], [-52], [44], [18], [84], [-34], [-86], [12], [-36], [84], [74], [-18], [-16], [-34], [-4], [-84], [-8], [54], [24], [-34], [60], [72], [-18], [-70], [-10], [-70], [34], [48], [66], [8], [-20], [8], [14], [-24], [84], [82], [2], [-52], [28], [76], [38], [80], [-54], [20], [70], [-66], [-78], [-32], [42], [38], [-40], [-2], [42], [20], [60], [30], [22], [-76], [-24], [-2], [2], [104], [16], [-78], [40], [74], [-90], [-76], [-20], [10], [50], [76], [66], [-52], [0]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 94575592208339930, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '5082.2.a.v', 'level': 5082, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'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_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, 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, 0, -24, -4, 0, -8, 4, 0, 0, 110, -8, 0, -24, 4, 0, 0, 0, 2, 4, 28, 0, 0, 0, 8, 48, 4, 110, -12, 16, -2, -8, -8, 0, 0, 36, 4, 8, 0, 8, 0, 16, 0, 20, 2, 0, 114, 20, 8, 16, 4, -4, 4, -8, 0, -36, 0, -32, 0, 4, 8, 16, 28, -12, 16, 16, -8, 0, 172, 8, -32, 240, 0, 0, 2, 0, 208, 32, 0, 0, -8, -8, 4, 220, 0, 32, 8, 0, 8, 0, 110, -24, 188, 0, 4, -4, 32, 32, 0, 4, 0, 0, -8, 172, -32, 0, 4, 16, 2, -72, 20, 0, 0, -32, 2, 74, 192, 0, 0, -44, -16, -32, 0, 8, 36, -40, 4, -12, 8, -8, -8, 80, -8, 0, -16, -2, -80, -32, 0, -4, 52, 16, 110, -36, 0, -32, -2, -32, 172, 0, -8, 56, -64, 0, -12, 0, 4, -48, -4, 0, 0, -64, 0, 8, -4, -16, 0, 112, 0, 0, 0, 114, -12, -48, -24, -44, -48, 0, -4, 36, 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0, -328, -192, -128, -8, -108, 4, -48, 32, 0, -144, 64, -8, 6, 256, -8, 36, -56, -8, 96, 0, -176, 8, -32, 0, -48, 16, -56, 4, -204, -16, 0, 4, -36, 16, -80, 8, 8, 40, -16, -32, 128, 0, -128, 0, -32, 16, -176, 16, 20, 40, -32, 24], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1241725
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '5082.2.a.v', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '462.2.a.c', 'target_level': 462, 'twist_class_label': '462.2.a.c', 'twist_class_level': 462, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1241726
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '5082.2.a.v', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1386.2.a.g', 'target_level': 1386, 'twist_class_label': '462.2.a.c', 'twist_class_level': 462, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1241727
{'conductor': 77, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '5082.2.a.v', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3234.2.a.i', 'target_level': 3234, 'twist_class_label': '462.2.a.c', 'twist_class_level': 462, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1241728
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '5082.2.a.v', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '3696.2.a.bb', 'target_level': 3696, 'twist_class_label': '462.2.a.c', 'twist_class_level': 462, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1241729
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '5082.2.a.v', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '5082.2.a.v', 'target_level': 5082, 'twist_class_label': '462.2.a.c', 'twist_class_level': 462, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1241730
{'conductor': 231, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '5082.2.a.v', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '9702.2.a.by', 'target_level': 9702, 'twist_class_label': '462.2.a.c', '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: 3794425
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 2}
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id: 3794426
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 3}
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id: 3794427
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 5}
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id: 3794428
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 7}
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id: 3794429
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 11}
-
id: 3794430
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 13}
-
id: 3794431
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 17}
-
id: 3794432
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 19}
-
id: 3794433
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 23}
-
id: 3794434
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 29}
-
id: 3794435
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 31}
-
id: 3794436
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 37}
-
id: 3794437
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 41}
-
id: 3794438
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 43}
-
id: 3794439
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 47}
-
id: 3794440
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 53}
-
id: 3794441
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 59}
-
id: 3794442
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 61}
-
id: 3794443
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 67}
-
id: 3794444
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 71}
-
id: 3794445
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 73}
-
id: 3794446
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 79}
-
id: 3794447
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 83}
-
id: 3794448
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 89}
-
id: 3794449
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 94575592208339930, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '5082.2.a.v', '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: 64939351
{'hecke_orbit_code': 94575592208339930, 'n': 1, 'trace_an': 1}
-
id: 64939352
{'hecke_orbit_code': 94575592208339930, 'n': 2, 'trace_an': 1}
-
id: 64939353
{'hecke_orbit_code': 94575592208339930, 'n': 3, 'trace_an': -1}
-
id: 64939354
{'hecke_orbit_code': 94575592208339930, 'n': 4, 'trace_an': 1}
-
id: 64939355
{'hecke_orbit_code': 94575592208339930, 'n': 5, 'trace_an': 2}
-
id: 64939356
{'hecke_orbit_code': 94575592208339930, 'n': 6, 'trace_an': -1}
-
id: 64939357
{'hecke_orbit_code': 94575592208339930, 'n': 7, 'trace_an': 1}
-
id: 64939358
{'hecke_orbit_code': 94575592208339930, 'n': 8, 'trace_an': 1}
-
id: 64939359
{'hecke_orbit_code': 94575592208339930, 'n': 9, 'trace_an': 1}
-
id: 64939360
{'hecke_orbit_code': 94575592208339930, 'n': 10, 'trace_an': 2}
-
id: 64939361
{'hecke_orbit_code': 94575592208339930, 'n': 11, 'trace_an': 0}
-
id: 64939362
{'hecke_orbit_code': 94575592208339930, 'n': 12, 'trace_an': -1}
-
id: 64939363
{'hecke_orbit_code': 94575592208339930, 'n': 13, 'trace_an': -2}
-
id: 64939364
{'hecke_orbit_code': 94575592208339930, 'n': 14, 'trace_an': 1}
-
id: 64939365
{'hecke_orbit_code': 94575592208339930, 'n': 15, 'trace_an': -2}
-
id: 64939366
{'hecke_orbit_code': 94575592208339930, 'n': 16, 'trace_an': 1}
-
id: 64939367
{'hecke_orbit_code': 94575592208339930, 'n': 17, 'trace_an': -6}
-
id: 64939368
{'hecke_orbit_code': 94575592208339930, 'n': 18, 'trace_an': 1}
-
id: 64939369
{'hecke_orbit_code': 94575592208339930, 'n': 19, 'trace_an': 8}
-
id: 64939370
{'hecke_orbit_code': 94575592208339930, 'n': 20, 'trace_an': 2}
-
id: 64939371
{'hecke_orbit_code': 94575592208339930, 'n': 21, 'trace_an': -1}
-
id: 64939372
{'hecke_orbit_code': 94575592208339930, 'n': 22, 'trace_an': 0}
-
id: 64939373
{'hecke_orbit_code': 94575592208339930, 'n': 23, 'trace_an': 4}
-
id: 64939374
{'hecke_orbit_code': 94575592208339930, 'n': 24, 'trace_an': -1}
-
id: 64939375
{'hecke_orbit_code': 94575592208339930, 'n': 25, 'trace_an': -1}
-
id: 64939376
{'hecke_orbit_code': 94575592208339930, 'n': 26, 'trace_an': -2}
-
id: 64939377
{'hecke_orbit_code': 94575592208339930, 'n': 27, 'trace_an': -1}
-
id: 64939378
{'hecke_orbit_code': 94575592208339930, 'n': 28, 'trace_an': 1}
-
id: 64939379
{'hecke_orbit_code': 94575592208339930, 'n': 29, 'trace_an': -2}
-
id: 64939380
{'hecke_orbit_code': 94575592208339930, 'n': 30, 'trace_an': -2}
-
id: 64939381
{'hecke_orbit_code': 94575592208339930, 'n': 31, 'trace_an': 8}
-
id: 64939382
{'hecke_orbit_code': 94575592208339930, 'n': 32, 'trace_an': 1}
-
id: 64939383
{'hecke_orbit_code': 94575592208339930, 'n': 33, 'trace_an': 0}
-
id: 64939384
{'hecke_orbit_code': 94575592208339930, 'n': 34, 'trace_an': -6}
-
id: 64939385
{'hecke_orbit_code': 94575592208339930, 'n': 35, 'trace_an': 2}
-
id: 64939386
{'hecke_orbit_code': 94575592208339930, 'n': 36, 'trace_an': 1}
-
id: 64939387
{'hecke_orbit_code': 94575592208339930, 'n': 37, 'trace_an': 6}
-
id: 64939388
{'hecke_orbit_code': 94575592208339930, 'n': 38, 'trace_an': 8}
-
id: 64939389
{'hecke_orbit_code': 94575592208339930, 'n': 39, 'trace_an': 2}
-
id: 64939390
{'hecke_orbit_code': 94575592208339930, 'n': 40, 'trace_an': 2}
-
id: 64939391
{'hecke_orbit_code': 94575592208339930, 'n': 41, 'trace_an': -6}
-
id: 64939392
{'hecke_orbit_code': 94575592208339930, 'n': 42, 'trace_an': -1}
-
id: 64939393
{'hecke_orbit_code': 94575592208339930, 'n': 43, 'trace_an': -8}
-
id: 64939394
{'hecke_orbit_code': 94575592208339930, 'n': 44, 'trace_an': 0}
-
id: 64939395
{'hecke_orbit_code': 94575592208339930, 'n': 45, 'trace_an': 2}
-
id: 64939396
{'hecke_orbit_code': 94575592208339930, 'n': 46, 'trace_an': 4}
-
id: 64939397
{'hecke_orbit_code': 94575592208339930, 'n': 47, 'trace_an': 4}
-
id: 64939398
{'hecke_orbit_code': 94575592208339930, 'n': 48, 'trace_an': -1}
-
id: 64939399
{'hecke_orbit_code': 94575592208339930, 'n': 49, 'trace_an': 1}
-
id: 64939400
{'hecke_orbit_code': 94575592208339930, 'n': 50, 'trace_an': -1}
-
id: 64939401
{'hecke_orbit_code': 94575592208339930, 'n': 51, 'trace_an': 6}
-
id: 64939402
{'hecke_orbit_code': 94575592208339930, 'n': 52, 'trace_an': -2}
-
id: 64939403
{'hecke_orbit_code': 94575592208339930, 'n': 53, 'trace_an': 10}
-
id: 64939404
{'hecke_orbit_code': 94575592208339930, 'n': 54, 'trace_an': -1}
-
id: 64939405
{'hecke_orbit_code': 94575592208339930, 'n': 55, 'trace_an': 0}
-
id: 64939406
{'hecke_orbit_code': 94575592208339930, 'n': 56, 'trace_an': 1}
-
id: 64939407
{'hecke_orbit_code': 94575592208339930, 'n': 57, 'trace_an': -8}
-
id: 64939408
{'hecke_orbit_code': 94575592208339930, 'n': 58, 'trace_an': -2}
-
id: 64939409
{'hecke_orbit_code': 94575592208339930, 'n': 59, 'trace_an': 4}
-
id: 64939410
{'hecke_orbit_code': 94575592208339930, 'n': 60, 'trace_an': -2}
-
id: 64939411
{'hecke_orbit_code': 94575592208339930, 'n': 61, 'trace_an': 14}
-
id: 64939412
{'hecke_orbit_code': 94575592208339930, 'n': 62, 'trace_an': 8}
-
id: 64939413
{'hecke_orbit_code': 94575592208339930, 'n': 63, 'trace_an': 1}
-
id: 64939414
{'hecke_orbit_code': 94575592208339930, 'n': 64, 'trace_an': 1}
-
id: 64939415
{'hecke_orbit_code': 94575592208339930, 'n': 65, 'trace_an': -4}
-
id: 64939416
{'hecke_orbit_code': 94575592208339930, 'n': 66, 'trace_an': 0}
-
id: 64939417
{'hecke_orbit_code': 94575592208339930, 'n': 67, 'trace_an': -4}
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id: 64939418
{'hecke_orbit_code': 94575592208339930, 'n': 68, 'trace_an': -6}
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