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mf_newforms • Show schema
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{'Nk2': 19992, 'analytic_conductor': 39.909230930235935, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [17, 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': [4998, 1, [1667, 2551, 4117], [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]], [11, [0, 1]], [13, [-6, 1]], [23, [8, 1]]], 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755749766, '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': '4998.2.a.bp', 'level': 4998, '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, 17], 'level_radical': 714, 'minimal_twist': '714.2.a.e', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/4998/bp'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4998.2.a', 'trace_display': [1, 1, 2, 0], 'trace_hash': 2258731874464309405, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.985', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.068', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.962', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.122', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.889', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, 'traces': [1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 6, 0, 2, 1, -1, 1, 0, 2, 0, 0, -8, 1, -1, 6, 1, 0, -6, 2, 8, 1, 0, -1, 0, 1, 10, 0, 6, 2, 6, 0, 12, 0, 2, -8, 0, 1, 0, -1, -1, 6, -10, 1, 0, 0, 0, -6, 8, 2, -6, 8, 0, 1, 12, 0, 12, -1, -8, 0, 0, 1, 6, 10, -1, 0, 0, 6, -8, 2, 1, 6, -16, 0, -2, 12, -6, 0, -2, 2, 0, -8, 8, 0, 0, 1, -2, 0, 0, -1, 6, -1, -16, 6, 0, -10, 16, 1, -6, 0, 10, 0, -6, 0, -16, -6, 6, 8, 0, 2, -11, -6, 6, 8, -12, 0, 8, 1, 12, 12, 4, 0, 0, 12, 2, -1, -22, -8, 4, 0, 0, 0, 0, 1, -12, 6, 0, 10, -18, -1, -16, 0, -1, 0, 16, 6, -18, -8, -10, 2, 0, 1, 8, 6, 0, -16, 8, 0, 23, -2, 0, 12, 2, -6, 0, 0, 8, -2, 4, 2, 10, 0, -6, -8, 20, 8, 0, 0, 0, 0, 16, 1, -6, -2, 12, 0, 18, 0, 24, -1, 12, 6, 0, -1, 12, -16, -8, 6, 0, 0, 8, -10, 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mf_hecke_nf • Show schema
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{'an': [[1], [1], [1], [1], [2], [1], [0], [1], [1], [2], [0], [1], [6], [0], [2], [1], [-1], [1], [0], [2], [0], [0], [-8], [1], [-1], [6], [1], [0], [-6], [2], [8], [1], [0], [-1], [0], [1], [10], [0], [6], [2], [6], [0], [12], [0], [2], [-8], [0], [1], [0], [-1], [-1], [6], [-10], [1], [0], [0], [0], [-6], [8], [2], [-6], [8], [0], [1], [12], [0], [12], [-1], [-8], [0], [0], [1], [6], [10], [-1], [0], [0], [6], [-8], [2], [1], [6], [-16], [0], [-2], [12], [-6], [0], [-2], [2], [0], [-8], [8], [0], [0], [1], [-2], [0], [0], [-1]], 'ap': [[1], [1], [2], [0], [0], [6], [-1], [0], [-8], [-6], [8], [10], [6], [12], [0], [-10], [8], [-6], [12], [0], [6], [-8], [-16], [-2], [-2], [6], [-16], [16], [-6], [-6], [8], [4], [-22], [4], [-18], [-16], [-18], [8], [8], [2], [4], [10], [16], [-6], [18], [24], [8], [8], [4], [-10], [-30], [24], [-2], [0], [6], [-16], [18], [-24], [-6], [-22], [4], [14], [32], [0], [-26], [-6], [-36], [2], [-24], [22], [6], [16], [-8], [-2], [-8], [-8], [6], [18], [2], [-34], [12], [-34], [-16], [22], [-16], [4], [34], [-38], [6], [-16], [-8], [-40], [8], [-20], [8], [-24], [-2], [-10], [16], [26], [-8], [-18], [-24], [-6], [32], [-18], [8], [-26], [0], [-26], [0], [14], [-14], [-4], [-16], [-30], [36], [24], [42], [12], [-10], [-6], [-30], [24], [-36], [-10], [50], [8], [-40], [14], [-4], [-16], [-32], [30], [22], [-26], [14], [4], [-42], [-6], [-12], [2], [-16], [-8], [38], [-40], [-14], [54], [56], [8], [-22], [30], [-4], [-16], [0], [-8], [-16], [30], [22], [-30], [-32], [42], [-8], [24], [-30], [48], [-56], [-30], [-6], [2], [28], [-26], [-24], [10], [8], [-42], [16], [10], [-16], [54], [8], [60], [-6], [-18], [-64], [14], [-54], [-64], [-14], [-16], [-2], [48], [20], [-34], [32], [6], [66], [-30], [-2], [24], [26], [16], [-50], [46], [-32], [70], [56], [-36], [-14], [-32], [10], [30], [16], [-16], [0], [38], [32], [-18], [-40], [-58], [14], [56], [2], [8], [32], [-10], [-58], [16], [8], [8], [14], [52], [-40], [74], [16], [-24], [-34], [66], [0], [-16], [32], [56], [48], [-50], [-18], [-24], [-16], [-76], [-20], [0], [-2], [30], [-32], [-42], [-26], [-20], [-22], [44], [-22], [14], [-8], [60], [-30], [50], [14], [48], [78], [-2], [56], [-42], [58], [28], [70], [-32], [-2], [48], [44], [-26], [-38], [48], [-40], [24], [56], [-26], [-20], [-80], [26], [18], [-64], [22], [2], [76], [-54], [36], [10], [50], [-64], [-2], [4], [32], [-50], [62], [64], [-8], [56], [42], [68], [10], [24], [38], [32], [66], [-62], [-36], [48], [6], [-48], [-16], [-82], [18], [-52], [82], [54], [48], [10], [-42], [56], [4], [48], [42], [2], [2], [80], [-16], [-8], [-76], [-34], [30], [70], [-16], [-34], [-70], [-30], [-56], [6], [64], [-22], [76], [-88], [-54], [-64], [82], [-90], [8], [-58], [30], [16], [52], [-78], [-24], [-62], [-26], [8], [48], [-16], [-86], [2], [-40], [34], [28], [-20], [72], [70], [-64], [50], [76], [8], [-34], [-2], [-34], [-30], [58], [16], [58], [-20], [0], [32], [-2], [64], [-88], [-94], [90], [-36], [-72], [40], [2], [48], [86], [-16], [78], [-22], [-62], [80], [38], [-90], [-32], [-98], [2], [16], [-60], [46], [-10], [-44], [48], [58], [-70], [-72], [96], [14], [-80], [70], [106], [-72], [72], [6], [54], [0], [-46], [-56], [104]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 184647584755749766, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4998.2.a.bp', 'level': 4998, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [8, 6, 5, 8, 7, 5, 6, 9, 7, 5, 8, 8, 4, 10, 9, 3], 'Nk2': 19992, 'analytic_conductor': 39.909230930235935, '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': [4998, 1, [1667, 2551, 4117], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 977, 'dim': 108, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 23], 'hecke_orbit_code': 33559430, '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, 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, 4, 4, 4, 4, 4, 4], 'label': '4998.2.a', 'level': 4998, '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, 17], 'level_radical': 714, 'mf_dim': 1040, 'mf_new_dim': 108, 'num_forms': 68, 'plus_dim': 47, 'prim_orbit_index': 1, 'relative_dim': 108, 'sturm_bound': 2016, 'trace_bound': 13, 'trace_display': [0, -2, 0, 0], 'traces': [108, 0, -2, 108, 0, -2, 0, 0, 108, -8, -8, -2, 0, 0, 0, 108, 0, 0, -16, 0, 0, 0, -8, -2, 84, 0, -2, 0, -16, 0, -8, 0, 0, -4, 0, 108, 24, 8, 36, -8, -16, 0, 32, -8, 0, 8, 0, -2, 0, 8, 2, 0, 16, -2, 16, 0, 48, 16, 24, 0, 8, 8, 0, 108, -32, 8, 56, 0, 12, 0, 24, 0, 8, -16, -14, -16, 0, 4, 48, 0, 108, 8, -8, 0, 8, -16, 16, 0, 0, -8, 0, -8, 36, 16, 32, -2, -8, 0, -8, 84, 32, 2, -16, 0, 0, -32, -8, -2, 40, 16, -8, 0, 0, 0, 40, -16, 0, 32, 0, 0, 100, -16, -12, -8, 48, 0, 24, 0, -24, -16, 56, 0, 0, 24, 0, -4, 40, -12, 56, 0, -8, -8, 80, 108, 40, 16, 0, 24, 64, 18, 72, 8, 0, 0, -40, 36, 16, 40, -20, -8, 0, 0, 24, -16, -32, 48, 24, 0, 100, 0, -16, 32, 16, 16, 0, -8, 8, 8, -32, 0, -8, 0, 0, 8, -24, -28, 0, 0, 0, 32, -16, -2, -16, 32, 64, 0, -96, 0, 40, 8, -16, 16, 0, 2, -128, 0, -8, 0, 0, 0, -24, 16, -12, 0, 64, -2, 0, 32, 4, 16, -16, 24, 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8, -144, -16, 16, 80, -8, 0, 0, -196, 72, -16, 0, -112, 0, 252, -16, -224, -100, -48, 24, 0, -32, -104, -36, 224, 216, -72, 0, -288, -32, -16, -48, 80, -24, 0, 0, 140, 16, -8, -88, -144, 0, 24, 0, 8, -152, -88, -2, 0, 120, 300, 8, -216, 0, -256, 0, 40, -168, 24, 4, 88, 16, 0, 80, -96, 16, -80, 8, -88, 0, -424, 8, 72, 72, -8, -96], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1237031
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 42, 'source_is_minimal': False, 'source_label': '4998.2.a.bp', 'source_level': 4998, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '714.2.a.e', 'target_level': 714, 'twist_class_label': '714.2.a.e', 'twist_class_level': 714, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1237032
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 42, 'source_is_minimal': False, 'source_label': '4998.2.a.bp', 'source_level': 4998, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2142.2.a.g', 'target_level': 2142, 'twist_class_label': '714.2.a.e', 'twist_class_level': 714, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1237033
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 42, 'source_is_minimal': False, 'source_label': '4998.2.a.bp', 'source_level': 4998, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '4998.2.a.bp', 'target_level': 4998, 'twist_class_label': '714.2.a.e', 'twist_class_level': 714, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1237034
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 42, 'source_is_minimal': False, 'source_label': '4998.2.a.bp', 'source_level': 4998, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '5712.2.a.q', 'target_level': 5712, 'twist_class_label': '714.2.a.e', 'twist_class_level': 714, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3768875
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 2}
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id: 3768876
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 3}
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id: 3768877
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 5}
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id: 3768878
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 7}
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id: 3768879
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 11}
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id: 3768880
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 13}
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id: 3768881
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 17}
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id: 3768882
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 19}
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id: 3768883
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 23}
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id: 3768884
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 29}
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id: 3768885
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 31}
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id: 3768886
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 37}
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id: 3768887
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 41}
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id: 3768888
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 43}
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id: 3768889
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 47}
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id: 3768890
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 53}
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id: 3768891
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 59}
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id: 3768892
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 61}
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id: 3768893
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 67}
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id: 3768894
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 71}
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id: 3768895
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 73}
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id: 3768896
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 79}
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id: 3768897
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 83}
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id: 3768898
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 89}
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id: 3768899
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 184647584755749766, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 42, 'label': '4998.2.a.bp', 'level': 4998, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70695073
{'hecke_orbit_code': 184647584755749766, 'n': 1, 'trace_an': 1}
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id: 70695074
{'hecke_orbit_code': 184647584755749766, 'n': 2, 'trace_an': 1}
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id: 70695075
{'hecke_orbit_code': 184647584755749766, 'n': 3, 'trace_an': 1}
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id: 70695076
{'hecke_orbit_code': 184647584755749766, 'n': 4, 'trace_an': 1}
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id: 70695077
{'hecke_orbit_code': 184647584755749766, 'n': 5, 'trace_an': 2}
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id: 70695078
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