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{'Nk2': 22080, 'analytic_conductor': 44.077421915746775, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [23, -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': [5520, 1, [4831, 1381, 1841, 4417, 1201], [1, 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': [[7, [-2, 1]], [11, [2, 1]], [13, [2, 1]], [17, [0, 1]], [19, [8, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109415824, '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': '5520.2.a.bg', 'level': 5520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '690.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}+2q^{7}+q^{9}-2q^{11}-2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/5520/bg'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5520.2.a', 'trace_display': [0, 1, 1, 2], 'trace_hash': 1467697737809308393, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.976', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.920', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.706', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, 'traces': [1, 0, 1, 0, 1, 0, 2, 0, 1, 0, -2, 0, -2, 0, 1, 0, 0, 0, -8, 0, 2, 0, 1, 0, 1, 0, 1, 0, -10, 0, -8, 0, -2, 0, 2, 0, 8, 0, -2, 0, -6, 0, -12, 0, 1, 0, -8, 0, -3, 0, 0, 0, 10, 0, -2, 0, -8, 0, -4, 0, 12, 0, 2, 0, -2, 0, 4, 0, 1, 0, -16, 0, -10, 0, 1, 0, -4, 0, -10, 0, 1, 0, 10, 0, 0, 0, -10, 0, 0, 0, -4, 0, -8, 0, -8, 0, 10, 0, -2, 0, 10, 0, 2, 0, 2, 0, 10, 0, -8, 0, 8, 0, 8, 0, 1, 0, -2, 0, 0, 0, -7, 0, -6, 0, 1, 0, 4, 0, -12, 0, 8, 0, -16, 0, 1, 0, -12, 0, 20, 0, -8, 0, 4, 0, -10, 0, -3, 0, -10, 0, -20, 0, 0, 0, -8, 0, -8, 0, 10, 0, 2, 0, -4, 0, -2, 0, 8, 0, -9, 0, -8, 0, -2, 0, 2, 0, -4, 0, 16, 0, 16, 0, 12, 0, 8, 0, 0, 0, 2, 0, 16, 0, 14, 0, -2, 0, 26, 0, 14, 0, 4, 0, -20, 0, -6, 0, 1, 0, 16, 0, -4, 0, -16, 0, -12, 0, -16, 0, -10, 0, 0, 0, 4, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [1], [0], [2], [0], [1], [0], [-2], [0], [-2], [0], [1], [0], [0], [0], [-8], [0], [2], [0], [1], [0], [1], [0], [1], [0], [-10], [0], [-8], [0], [-2], [0], [2], [0], [8], [0], [-2], [0], [-6], [0], [-12], [0], [1], [0], [-8], [0], [-3], [0], [0], [0], [10], [0], [-2], [0], [-8], [0], [-4], [0], [12], [0], [2], [0], [-2], [0], [4], [0], [1], [0], [-16], [0], [-10], [0], [1], [0], [-4], [0], [-10], [0], [1], [0], [10], [0], [0], [0], [-10], [0], [0], [0], [-4], [0], [-8], [0], [-8], [0], [10], [0], [-2], [0]], 'ap': [[0], [1], [1], [2], [-2], [-2], [0], [-8], [1], [-10], [-8], [8], [-6], [-12], [-8], [10], [-4], [12], [4], [-16], [-10], [-10], [10], [0], [10], [10], [2], [10], [-8], [8], [4], [8], [-12], [20], [-10], [-20], [-8], [-4], [8], [-2], [16], [16], [16], [14], [26], [14], [-4], [4], [-14], [-16], [-6], [16], [10], [14], [-6], [-4], [18], [-28], [-6], [-16], [16], [2], [-28], [-16], [-10], [6], [12], [22], [24], [-6], [14], [-8], [-18], [-24], [-8], [-36], [-2], [-10], [-16], [-10], [-30], [-36], [28], [14], [-16], [28], [18], [10], [-30], [-8], [6], [-24], [40], [0], [4], [-36], [6], [-12], [-4], [-38], [20], [-2], [-6], [-32], [-12], [2], [0], [-6], [-32], [10], [-12], [-44], [48], [8], [2], [0], [-4], [40], [-6], [30], [-28], [-46], [46], [-24], [52], [-6], [28], [-16], [-14], [-52], [-44], [28], [-26], [-8], [30], [-10], [-6], [4], [6], [30], [-12], [42], [-24], [6], [10], [12], [-10], [18], [4], [0], [-22], [0], [-20], [0], [-40], [36], [-26], [-6], [-30], [-34], [8], [8], [56], [-30], [-20], [-36], [-16], [-38], [-6], [18], [46], [50], [44], [14], [20], [36], [12], [-26], [-14], [-56], [-16], [30], [-22], [6], [-4], [-26], [6], [44], [-42], [-24], [14], [-24], [20], [-34], [-6], [44], [26], [-12], [-20], [24], [-18], [-20], [50], [38], [-42], [-10], [34], [52], [-14], [28], [-18], [54], [6], [62], [-48], [-2], [-52], [38], [24], [-34], [14], [30], [6], [66], [-44], [6], [-56], [24], [38], [-4], [-14], [8], [14], [-58], [-56], [-12], [-62], [6], [0], [-56], [2], [52], [-40], [62], [-54], [56], [44], [18], [56], [-48], [-24], [-4], [68], [22], [-18], [44], [-48], [44], [58], [22], [34], [-38], [-30], [-28], [18], [-8], [54], [-12], [-56], [-6], [-6], [-12], [-66], [6], [-70], [8], [28], [-26], [34], [-42], [56], [50], [-40], [-20], [12], [16], [26], [-42], [-64], [-18], [30], [18], [62], [10], [34], [86], [10], [58], [-44], [-52], [86], [-10], [-6], [-52], [56], [-58], [36], [-8], [-60], [-58], [-72], [-14], [76], [-4], [12], [38], [-68], [-80], [30], [-22], [-44], [62], [-18], [28], [72], [58], [60], [-28], [24], [-66], [-70], [58], [-8], [24], [-8], [-64], [-40], [-56], [-58], [58], [-58], [-88], [-74], [-46], [-78], [-12], [-2], [-44], [-84], [10], [4], [-54], [50], [-26], [68], [54], [-52], [-18], [-90], [-16], [44], [-90], [32], [10], [84], [-74], [30], [-74], [62], [-56], [-28], [72], [-14], [-14], [38], [-64], [-60], [-14], [-60], [-2], [-26], [-68], [92], [82], [56], [96], [100], [10], [-12], [-36], [-50], [-54], [36], [-68], [12], [82], [-74], [4], [100], [86], [14], [-34], [-50], [-48], [-10], [-52], [-40], [-58], [-88], [-56], [82], [-74], [-6], [-76], [-50], [-26], [0], [-24], [-60], [64], [-98], [-32], [-8], [-84], [-14], [-30], [66], [74], [20], [-32]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 144115188109415824, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '5520.2.a.bg', 'level': 5520, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 5, 4], [[[2, -1], [3, -1], [5, -1], [23, -1]], 5, 4], [[[2, -1], [3, 1], [5, 1], [23, -1]], 5, 4], [[[2, 1], [3, 1], [5, -1], [23, -1]], 6, 3], [[[2, 1], [3, 1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [3, -1], [5, -1], [23, 1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [23, 1]], 6, 4], [[[2, -1], [3, 1], [5, -1], [23, -1]], 6, 5], [[[2, 1], [3, -1], [5, -1], [23, -1]], 8, 3], [[[2, 1], [3, 1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, 1]], 8, 4], [[[2, 1], [3, -1], [5, -1], [23, 1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [23, 1]], 6, 2], [[[2, -1], [3, 1], [5, -1], [23, 1]], 5, 3], [[[2, -1], [3, -1], [5, 1], [23, -1]], 6, 5]], 'ALdims': [6, 4, 4, 6, 8, 4, 4, 8, 6, 5, 5, 6, 5, 6, 6, 5], 'Nk2': 22080, 'analytic_conductor': 44.077421915746775, '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': [5520, 1, [4831, 1381, 1841, 4417, 1201], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1129, 'dim': 88, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33559952, '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, 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, 4, 5], 'label': '5520.2.a', 'level': 5520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 1176, 'mf_new_dim': 88, 'num_forms': 55, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 88, 'sturm_bound': 2304, 'trace_bound': 17, 'trace_display': [0, 4, 0, 8], 'traces': [88, 0, 4, 0, 0, 0, 8, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 88, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 104, 0, 0, 0, -32, 0, -16, 0, 16, 0, -32, 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mf_twists_nf • Show schema
Hide schema
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id: 1263337
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '5520.2.a.bg', 'source_level': 5520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '690.2.a.c', 'target_level': 690, 'twist_class_label': '690.2.a.c', 'twist_class_level': 690, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1263338
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '5520.2.a.bg', 'source_level': 5520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2070.2.a.k', 'target_level': 2070, 'twist_class_label': '690.2.a.c', 'twist_class_level': 690, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1263339
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '5520.2.a.bg', 'source_level': 5520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '3450.2.a.z', 'target_level': 3450, 'twist_class_label': '690.2.a.c', 'twist_class_level': 690, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1263340
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '5520.2.a.bg', 'source_level': 5520, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3450.2.d.q', 'target_level': 3450, 'twist_class_label': '690.2.a.c', 'twist_class_level': 690, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1263341
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '5520.2.a.bg', 'source_level': 5520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '5520.2.a.bg', 'target_level': 5520, 'twist_class_label': '690.2.a.c', 'twist_class_level': 690, '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: 3921550
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 2}
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id: 3921551
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 3}
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id: 3921552
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 5}
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id: 3921553
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 7}
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id: 3921554
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 11}
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id: 3921555
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 13}
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id: 3921556
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 17}
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id: 3921557
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 19}
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id: 3921558
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 23}
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id: 3921559
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 29}
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id: 3921560
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 31}
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id: 3921561
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 37}
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id: 3921562
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 41}
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id: 3921563
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 43}
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id: 3921564
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 47}
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id: 3921565
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 53}
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id: 3921566
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 59}
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id: 3921567
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 61}
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id: 3921568
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 67}
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id: 3921569
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 71}
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id: 3921570
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 73}
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id: 3921571
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 79}
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id: 3921572
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 83}
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id: 3921573
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 89}
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id: 3921574
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 144115188109415824, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '5520.2.a.bg', 'level': 5520, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 267738000
{'hecke_orbit_code': 144115188109415824, 'n': 1, 'trace_an': 1}
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id: 267738001
{'hecke_orbit_code': 144115188109415824, 'n': 2, 'trace_an': 0}
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id: 267738002
{'hecke_orbit_code': 144115188109415824, 'n': 3, 'trace_an': 1}
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id: 267738003
{'hecke_orbit_code': 144115188109415824, 'n': 4, 'trace_an': 0}
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id: 267738004
{'hecke_orbit_code': 144115188109415824, 'n': 5, 'trace_an': 1}
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id: 267738005
{'hecke_orbit_code': 144115188109415824, 'n': 6, 'trace_an': 0}
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id: 267738006
{'hecke_orbit_code': 144115188109415824, 'n': 7, 'trace_an': 2}
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id: 267738007
{'hecke_orbit_code': 144115188109415824, 'n': 8, 'trace_an': 0}
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id: 267738008
{'hecke_orbit_code': 144115188109415824, 'n': 9, 'trace_an': 1}
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id: 267738009
{'hecke_orbit_code': 144115188109415824, 'n': 10, 'trace_an': 0}
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id: 267738010
{'hecke_orbit_code': 144115188109415824, 'n': 11, 'trace_an': -2}
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id: 267738011
{'hecke_orbit_code': 144115188109415824, 'n': 12, 'trace_an': 0}
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id: 267738012
{'hecke_orbit_code': 144115188109415824, 'n': 13, 'trace_an': -2}
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id: 267738013
{'hecke_orbit_code': 144115188109415824, 'n': 14, 'trace_an': 0}
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id: 267738014
{'hecke_orbit_code': 144115188109415824, 'n': 15, 'trace_an': 1}
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id: 267738015
{'hecke_orbit_code': 144115188109415824, 'n': 16, 'trace_an': 0}
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id: 267738998
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id: 267738999
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