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mf_newforms • Show schema
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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, [0, 1]], [11, [2, 1]], [13, [0, 1]], [17, [-6, 1]], [19, [8, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307264912, '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.k', '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': '2760.2.a.k', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}+q^{9}-2q^{11}-q^{15}+6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/5520/k'], '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, 0], 'trace_hash': 403260363020951608, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.992', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.979', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.947', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, 'traces': [1, 0, -1, 0, 1, 0, 0, 0, 1, 0, -2, 0, 0, 0, -1, 0, 6, 0, -8, 0, 0, 0, 1, 0, 1, 0, -1, 0, -8, 0, 8, 0, 2, 0, 0, 0, -2, 0, 0, 0, 6, 0, -6, 0, 1, 0, 4, 0, -7, 0, -6, 0, -6, 0, -2, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -1, 0, -14, 0, 6, 0, -1, 0, 0, 0, -16, 0, 1, 0, 0, 0, 6, 0, 8, 0, 16, 0, 0, 0, -8, 0, -8, 0, -4, 0, -2, 0, 0, 0, 0, 0, 0, 0, -20, 0, 6, 0, 2, 0, -6, 0, 1, 0, 0, 0, 0, 0, -7, 0, -6, 0, 1, 0, 2, 0, 6, 0, 20, 0, 0, 0, -1, 0, -22, 0, -4, 0, -4, 0, 0, 0, -8, 0, 7, 0, 14, 0, 20, 0, 6, 0, 8, 0, 6, 0, 6, 0, 0, 0, 8, 0, 2, 0, -16, 0, -13, 0, -8, 0, 14, 0, 0, 0, 0, 0, -24, 0, -22, 0, -2, 0, -2, 0, -12, 0, 0, 0, -24, 0, 10, 0, 0, 0, -10, 0, 0, 0, -2, 0, 0, 0, 6, 0, 1, 0, 16, 0, 12, 0, 14, 0, -6, 0, 0, 0, -6, 0, 0, 0, -2, 0, 1, 0, 4, 0, -10, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [1], [0], [0], [0], [1], [0], [-2], [0], [0], [0], [-1], [0], [6], [0], [-8], [0], [0], [0], [1], [0], [1], [0], [-1], [0], [-8], [0], [8], [0], [2], [0], [0], [0], [-2], [0], [0], [0], [6], [0], [-6], [0], [1], [0], [4], [0], [-7], [0], [-6], [0], [-6], [0], [-2], [0], [8], [0], [0], [0], [2], [0], [0], [0], [0], [0], [2], [0], [-1], [0], [-14], [0], [6], [0], [-1], [0], [0], [0], [-16], [0], [1], [0], [0], [0], [6], [0], [8], [0], [16], [0], [0], [0], [-8], [0], [-8], [0], [-4], [0], [-2], [0]], 'ap': [[0], [-1], [1], [0], [-2], [0], [6], [-8], [1], [-8], [8], [-2], [6], [-6], [4], [-6], [0], [2], [2], [-14], [6], [-16], [0], [16], [-4], [0], [0], [-20], [6], [-6], [2], [20], [-22], [-4], [14], [20], [6], [8], [-16], [14], [-24], [-22], [-24], [10], [-10], [0], [12], [-2], [4], [-10], [-10], [-6], [10], [2], [-26], [-24], [-12], [0], [-32], [8], [22], [-14], [4], [34], [-32], [2], [4], [8], [-12], [2], [-22], [0], [-16], [-26], [-4], [24], [18], [8], [-20], [-10], [-18], [2], [-8], [-36], [20], [-20], [6], [-28], [8], [-26], [16], [-16], [38], [-36], [-28], [-32], [40], [-24], [22], [-30], [12], [6], [-16], [12], [36], [14], [4], [-42], [22], [-10], [-10], [-38], [14], [-32], [40], [-24], [14], [-12], [-46], [-10], [30], [46], [-10], [20], [20], [-6], [38], [-42], [44], [22], [28], [16], [16], [-14], [-22], [6], [-6], [14], [-2], [-30], [4], [44], [42], [-12], [34], [-28], [32], [-46], [-28], [28], [40], [32], [8], [-12], [50], [60], [40], [-42], [-36], [22], [60], [34], [-42], [18], [-26], [40], [-28], [24], [-14], [-42], [2], [-26], [-48], [-28], [36], [44], [-4], [52], [52], [46], [22], [-38], [16], [6], [-16], [18], [40], [-38], [-10], [-2], [34], [-60], [-60], [40], [24], [10], [-10], [-10], [-46], [36], [10], [28], [52], [42], [42], [38], [32], [12], [-30], [-52], [46], [0], [16], [8], [42], [54], [-14], [-46], [-48], [18], [-58], [56], [58], [-28], [28], [30], [42], [-42], [-40], [0], [-4], [-68], [40], [-2], [22], [-48], [38], [-22], [16], [14], [-32], [20], [-14], [26], [-34], [6], [26], [30], [-64], [-8], [-6], [0], [24], [-26], [-22], [-36], [14], [-2], [10], [-62], [-16], [36], [-50], [66], [-30], [20], [18], [-72], [-38], [-30], [30], [-58], [28], [8], [-2], [-14], [60], [-22], [70], [-30], [0], [-56], [-48], [-70], [8], [2], [-24], [-54], [60], [38], [14], [-4], [-78], [-6], [-4], [54], [80], [6], [0], [-4], [-32], [6], [-24], [36], [-16], [-74], [52], [14], [60], [20], [-12], [-74], [64], [-52], [64], [-78], [-12], [46], [4], [34], [-24], [48], [4], [10], [-66], [10], [40], [-76], [-56], [6], [62], [18], [-20], [-12], [-16], [12], [-70], [30], [78], [-60], [44], [22], [0], [0], [54], [16], [-34], [-72], [36], [22], [36], [2], [40], [28], [10], [2], [36], [-42], [-58], [-64], [34], [-66], [24], [50], [-68], [-66], [-38], [-40], [78], [20], [-92], [-56], [50], [32], [-52], [-60], [-12], [56], [-24], [86], [-38], [-38], [22], [82], [4], [44], [-44], [32], [-14], [-16], [14], [34], [-92], [-28], [-104], [-56], [-40], [36], [84], [-72], [46], [86], [-28], [90], [48], [4], [-86], [18], [-26], [64], [-14], [-26], [-80], [56], [0], [68], [-54], [2], [-62], [-40], [58], [6], [-16], [96], [34], [78], [-4], [10], [28], [46]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 45035996307264912, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '5520.2.a.k', '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: 1263239
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '5520.2.a.k', 'source_level': 5520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '2760.2.a.k', 'target_level': 2760, 'twist_class_label': '2760.2.a.k', 'twist_class_level': 2760, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1263240
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '5520.2.a.k', 'source_level': 5520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '5520.2.a.k', 'target_level': 5520, 'twist_class_label': '2760.2.a.k', 'twist_class_level': 2760, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1263241
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '5520.2.a.k', 'source_level': 5520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '8280.2.a.f', 'target_level': 8280, 'twist_class_label': '2760.2.a.k', 'twist_class_level': 2760, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3920900
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 2}
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id: 3920901
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 3}
-
id: 3920902
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 5}
-
id: 3920903
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 7}
-
id: 3920904
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 11}
-
id: 3920905
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 13}
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id: 3920906
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 17}
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id: 3920907
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 19}
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id: 3920908
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 23}
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id: 3920909
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 29}
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id: 3920910
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 31}
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id: 3920911
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 37}
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id: 3920912
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 41}
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id: 3920913
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 43}
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id: 3920914
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 47}
-
id: 3920915
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 53}
-
id: 3920916
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 59}
-
id: 3920917
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 61}
-
id: 3920918
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 67}
-
id: 3920919
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 71}
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id: 3920920
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 73}
-
id: 3920921
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 79}
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id: 3920922
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 83}
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id: 3920923
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 89}
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id: 3920924
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 45035996307264912, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '5520.2.a.k', 'level': 5520, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 211710000
{'hecke_orbit_code': 45035996307264912, 'n': 1, 'trace_an': 1}
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id: 211710001
{'hecke_orbit_code': 45035996307264912, 'n': 2, 'trace_an': 0}
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id: 211710002
{'hecke_orbit_code': 45035996307264912, 'n': 3, 'trace_an': -1}
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id: 211710003
{'hecke_orbit_code': 45035996307264912, 'n': 4, 'trace_an': 0}
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id: 211710004
{'hecke_orbit_code': 45035996307264912, 'n': 5, 'trace_an': 1}
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id: 211710005
{'hecke_orbit_code': 45035996307264912, 'n': 6, 'trace_an': 0}
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id: 211710006
{'hecke_orbit_code': 45035996307264912, 'n': 7, 'trace_an': 0}
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id: 211710007
{'hecke_orbit_code': 45035996307264912, 'n': 8, 'trace_an': 0}
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id: 211710008
{'hecke_orbit_code': 45035996307264912, 'n': 9, 'trace_an': 1}
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id: 211710009
{'hecke_orbit_code': 45035996307264912, 'n': 10, 'trace_an': 0}
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id: 211710010
{'hecke_orbit_code': 45035996307264912, 'n': 11, 'trace_an': -2}
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id: 211710011
{'hecke_orbit_code': 45035996307264912, 'n': 12, 'trace_an': 0}
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{'hecke_orbit_code': 45035996307264912, 'n': 996, 'trace_an': 0}
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id: 211710996
{'hecke_orbit_code': 45035996307264912, 'n': 997, 'trace_an': 24}
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id: 211710997
{'hecke_orbit_code': 45035996307264912, 'n': 998, 'trace_an': 0}
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id: 211710998
{'hecke_orbit_code': 45035996307264912, 'n': 999, 'trace_an': 2}
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id: 211710999
{'hecke_orbit_code': 45035996307264912, 'n': 1000, 'trace_an': 0}