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{'Nk2': 24320, 'analytic_conductor': 48.54904442893847, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [19, -1]], 'atkin_lehner_string': '-+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6080, 1, [191, 5701, 1217, 1921], [1, 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': [[3, [-1, 1]], [7, [-3, 1]], [11, [0, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071488448, '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': '6080.2.a.q', 'level': 6080, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'minimal_twist': '3040.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+3q^{7}-2q^{9}-5q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/6080/q'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6080.2.a', 'trace_display': [0, 1, -1, 3], 'trace_hash': 1921580726621481333, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.117', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [-1], [0], [3], [0], [-2], [0], [0], [0], [-5], [0], [-1], [0], [-3], [0], [1], [0], [3], [0], [7], [0], [1], [0], [-5], [0], [1], [0], [2], [0], [0], [0], [-3], [0], [-2], [0], [-5], [0], [-10], [0], [6], [0], [2], [0], [8], [0], [2], [0], [-3], [0], [-9], [0], [0], [0], [1], [0], [-5], [0], [-4], [0], [-6], [0], [5], [0], [1], [0], [7], [0], [12], [0], [-13], [0], [1], [0], [0], [0], [-6], [0], [1], [0], [-18], [0], [3], [0], [1], [0], [2], [0], [-15], [0], [2], [0], [-1], [0], [-14], [0], [0], [0]], 'ap': [[0], [1], [-1], [3], [0], [-5], [-3], [1], [7], [1], [2], [-2], [-10], [6], [8], [-9], [-5], [-4], [1], [12], [-13], [-6], [-18], [2], [-14], [4], [-4], [7], [-1], [12], [-6], [-16], [-15], [-20], [-16], [2], [-6], [-14], [10], [-22], [0], [-6], [1], [14], [6], [1], [23], [-2], [17], [-6], [18], [-3], [8], [-24], [6], [16], [18], [29], [-4], [30], [-26], [-7], [28], [-7], [-9], [-3], [-3], [-2], [-22], [18], [-33], [19], [-16], [13], [11], [-36], [-8], [-20], [-30], [-30], [30], [-19], [12], [0], [-30], [24], [22], [-13], [-6], [-32], [28], [0], [18], [2], [-14], [-21], [18], [-12], [-5], [8], [36], [28], [20], [-12], [2], [17], [42], [14], [6], [30], [2], [-44], [-10], [-8], [16], [-40], [-26], [35], [-12], [13], [11], [-40], [37], [4], [-18], [-8], [-30], [-3], [-49], [36], [14], [-6], [18], [2], [-21], [-7], [-23], [29], [27], [33], [-7], [24], [13], [9], [23], [-36], [-14], [-24], [-36], [16], [-59], [-30], [46], [52], [43], [-12], [11], [-19], [55], [-7], [48], [0], [-28], [-20], [6], [54], [-58], [-38], [-16], [-2], [-3], [57], [48], [37], [-26], [-18], [2], [34], [22], [-26], [53], [29], [38], [-4], [7], [-18], [57], [44], [-4], [57], [56], [44], [20], [-61], [-32], [-58], [-23], [-8], [37], [57], [26], [68], [39], [-66], [-34], [-32], [13], [33], [-63], [-17], [-13], [-48], [-40], [51], [6], [-20], [-13], [-2], [58], [-58], [-30], [-62], [28], [-61], [15], [-10], [14], [-16], [24], [-42], [24], [-49], [40], [-34], [22], [65], [-14], [6], [-22], [-14], [-4], [-56], [17], [17], [-54], [48], [8], [-8], [-32], [23], [28], [-57], [27], [64], [38], [72], [2], [-52], [42], [-62], [-66], [12], [74], [63], [-18], [-61], [15], [35], [-17], [4], [5], [19], [63], [75], [48], [-3], [-80], [33], [-48], [60], [34], [-31], [39], [-59], [12], [-20], [-53], [-26], [-21], [18], [4], [-40], [-4], [36], [18], [-10], [-58], [38], [65], [-8], [-22], [33], [-11], [-31], [34], [-2], [-7], [-1], [-24], [-8], [-24], [48], [84], [12], [-36], [46], [34], [0], [-79], [-66], [-3], [-7], [-75], [-56], [57], [40], [11], [-45], [54], [-46], [68], [-19], [93], [-90], [-2], [-2], [-45], [4], [-33], [61], [-43], [-67], [9], [-58], [-33], [-80], [-34], [7], [-24], [60], [-28], [-68], [20], [16], [-90], [28], [-15], [-24], [-51], [-86], [26], [58], [-92], [11], [-28], [22], [-18], [-4], [-22], [50], [33], [-29], [-59], [-32], [52], [-63], [-16], [66], [81], [-90], [74], [-82], [-31], [-38], [-89], [22], [-37], [26], [82], [-36], [-98], [-15], [-2], [4], [66], [-10], [-58], [-64], [20], [-62], [-34], [54], [74], [22], [18], [37], [8], [-48], [-57], [-18], [50], [42], [-27], [-88], [-5], [22], [-64], [-34], [-55], [68], [-34], [-15], [65], [-75], [32], [93], [73], [-41], [76], [-55]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 72057594071488448, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '6080.2.a.q', 'level': 6080, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 21, 10], [[[2, -1], [5, -1], [19, -1]], 21, 9], [[[2, 1], [5, -1], [19, -1]], 15, 6], [[[2, 1], [5, -1], [19, 1]], 19, 7], [[[2, 1], [5, 1], [19, 1]], 17, 7], [[[2, -1], [5, -1], [19, 1]], 17, 8], [[[2, -1], [5, 1], [19, 1]], 19, 10], [[[2, -1], [5, 1], [19, -1]], 15, 7]], 'ALdims': [17, 21, 19, 15, 19, 15, 17, 21], 'Nk2': 24320, 'analytic_conductor': 48.54904442893847, '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': [6080, 1, [191, 5701, 1217, 1921], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33560512, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], 'label': '6080.2.a', 'level': 6080, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'mf_dim': 984, 'mf_new_dim': 144, 'num_forms': 64, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 144, 'sturm_bound': 1920, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [144, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 96, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -64, 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0, 0, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 256, 0, 0, 0, -96, 0, 0, 0, 192, 0, 0, 0, 400, 0, 0, 0, 704, 0, 0, 0, 608, 0, 0, 0, 1248, 0, 0, 0, -64, 0, 0, 0, -576, 0, 0, 0, 320, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 544, 0, 0, 0, 256, 0, 0, 0, -352, 0, 0, 0, -192, 0, 0, 0, -192, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 384, 0, 0, 0, 448, 0, 0, 0, 448, 0, 0, 0, 384, 0, 0, 0, 1216, 0, 0, 0, -224, 0, 0, 0, -608, 0, 0, 0, 256, 0, 0, 0, -160, 0, 0, 0, 352, 0, 0, 0, 96, 0, 0, 0, 256, 0, 0, 0, -128, 0, 0, 0, 576, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 384, 0, 0, 0, -448, 0, 0, 0, -256, 0, 0, 0, -288, 0, 0, 0, 128, 0, 0, 0, -576, 0, 0, 0, 256, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 128, 0, 0, 0, -1216, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1288209
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '6080.2.a.q', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '3040.2.a.a', 'target_level': 3040, 'twist_class_label': '3040.2.a.a', 'twist_class_level': 3040, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1288210
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '6080.2.a.q', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '3040.2.a.d', 'target_level': 3040, 'twist_class_label': '3040.2.a.a', 'twist_class_level': 3040, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1288211
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '6080.2.a.q', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '6080.2.a.g', 'target_level': 6080, 'twist_class_label': '3040.2.a.a', 'twist_class_level': 3040, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1288212
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '6080.2.a.q', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '6080.2.a.q', 'target_level': 6080, 'twist_class_label': '3040.2.a.a', 'twist_class_level': 3040, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4085225
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 2}
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id: 4085226
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 3}
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id: 4085227
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 5}
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id: 4085228
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 7}
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id: 4085229
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 11}
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id: 4085230
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 13}
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id: 4085231
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 17}
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id: 4085232
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 19}
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id: 4085233
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 23}
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id: 4085234
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 29}
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id: 4085235
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 31}
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id: 4085236
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 37}
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id: 4085237
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 41}
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id: 4085238
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 43}
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id: 4085239
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 47}
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id: 4085240
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 53}
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id: 4085241
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 59}
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id: 4085242
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 61}
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id: 4085243
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 67}
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id: 4085244
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 71}
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id: 4085245
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 73}
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id: 4085246
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 79}
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id: 4085247
{'charpoly_factorization': [[[18, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 83}
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id: 4085248
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 89}
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id: 4085249
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 72057594071488448, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '6080.2.a.q', 'level': 6080, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 238768000
{'hecke_orbit_code': 72057594071488448, 'n': 1, 'trace_an': 1}
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id: 238768001
{'hecke_orbit_code': 72057594071488448, 'n': 2, 'trace_an': 0}
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id: 238768002
{'hecke_orbit_code': 72057594071488448, 'n': 3, 'trace_an': 1}
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id: 238768003
{'hecke_orbit_code': 72057594071488448, 'n': 4, 'trace_an': 0}
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id: 238768004
{'hecke_orbit_code': 72057594071488448, 'n': 5, 'trace_an': -1}
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id: 238768005
{'hecke_orbit_code': 72057594071488448, 'n': 6, 'trace_an': 0}
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id: 238768006
{'hecke_orbit_code': 72057594071488448, 'n': 7, 'trace_an': 3}
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id: 238768007
{'hecke_orbit_code': 72057594071488448, 'n': 8, 'trace_an': 0}
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id: 238768008
{'hecke_orbit_code': 72057594071488448, 'n': 9, 'trace_an': -2}
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{'hecke_orbit_code': 72057594071488448, 'n': 992, 'trace_an': 0}
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id: 238768992
{'hecke_orbit_code': 72057594071488448, 'n': 993, 'trace_an': -3}
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id: 238768993
{'hecke_orbit_code': 72057594071488448, 'n': 994, 'trace_an': 0}
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id: 238768994
{'hecke_orbit_code': 72057594071488448, 'n': 995, 'trace_an': -1}
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id: 238768995
{'hecke_orbit_code': 72057594071488448, 'n': 996, 'trace_an': 0}
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id: 238768996
{'hecke_orbit_code': 72057594071488448, 'n': 997, 'trace_an': -38}
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id: 238768997
{'hecke_orbit_code': 72057594071488448, 'n': 998, 'trace_an': 0}
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id: 238768998
{'hecke_orbit_code': 72057594071488448, 'n': 999, 'trace_an': 10}
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id: 238768999
{'hecke_orbit_code': 72057594071488448, 'n': 1000, 'trace_an': 0}