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mf_newforms • Show schema
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{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2550, 2, [851, 1327, 751], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 2449, 'conrey_indexes': [2449], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1, 0, 1]], [11, [3, 1]], [13, [4, 0, 1]], [19, [-7, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007405446728182, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2550.2.d.c', 'level': 2550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '2550.2.a.j', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{2}+iq^{3}-q^{4}-q^{6}+iq^{7}-iq^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2550.2.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2211738190656618716, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.999', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.515', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 1], [-1, 0], [0, 0], [-1, 0], [0, 1], [0, -1], [-1, 0], [0, 0], [-3, 0], [0, -1], [0, 2], [-1, 0], [0, 0], [1, 0], [0, 1], [0, -1], [7, 0], [0, 0], [-1, 0], [0, -3], [0, 6], [1, 0], [0, 0], [-2, 0], [0, -1], [0, -1], [-6, 0], [0, 0], [-7, 0], [0, 1], [0, -3], [-1, 0], [0, 0], [1, 0], [0, 7], [0, 7], [-2, 0], [0, 0], [-6, 0], [0, -1], [0, -1], [3, 0], [0, 0], [-6, 0], [0, -9], [0, 1], [6, 0], [0, 0], [-1, 0], [0, -2], [0, -3], [1, 0], [0, 0], [1, 0], [0, 7], [0, -6], [0, 0], [0, 0], [-10, 0], [0, -7], [0, -1], [-1, 0], [0, 0], [3, 0], [0, -5], [0, -1], [-6, 0], [0, 0], [-6, 0], [0, 1], [0, -16], [-7, 0], [0, 0], [-7, 0], [0, -3], [0, -2], [-17, 0], [0, 0], [1, 0], [0, -6], [0, -6], [1, 0], [0, 0], [1, 0], [0, -6], [0, 3], [12, 0], [0, 0], [-2, 0], [0, -6], [0, -7], [9, 0], [0, 0], [-1, 0], [0, 10], [0, 6], [3, 0], [0, 0]], 'ap': [[0, 1], [0, 1], [0, 0], [0, 1], [-3, 0], [0, 2], [0, 1], [7, 0], [0, 6], [-6, 0], [-7, 0], [0, 7], [-6, 0], [0, -1], [0, -9], [0, -3], [0, 0], [-10, 0], [0, -5], [-6, 0], [0, -16], [-17, 0], [0, -6], [12, 0], [0, 10], [-15, 0], [0, 8], [0, 3], [7, 0], [0, 15], [0, 4], [-12, 0], [0, -12], [4, 0], [-6, 0], [-4, 0], [0, 4], [0, 8], [0, -6], [0, -12], [-24, 0], [11, 0], [-15, 0], [0, -16], [0, -12], [-5, 0], [14, 0], [0, 2], [0, -3], [28, 0], [0, 18], [9, 0], [-4, 0], [6, 0], [0, 18], [0, 9], [6, 0], [14, 0], [0, 19], [18, 0], [0, -22], [0, -6], [0, 28], [-30, 0], [0, -10], [0, 24], [-25, 0], [0, 16], [0, 9], [-26, 0], [0, 6], [-21, 0], [0, -17], [0, 14], [16, 0], [0, 0], [-9, 0], [0, 31], [18, 0], [-14, 0], [-24, 0], [26, 0], [12, 0], [0, 29], [-8, 0], [0, 36], [-3, 0], [0, 1], [-21, 0], [0, 20], [0, -18], [6, 0], [0, -8], [-36, 0], [-14, 0], [0, -6], [-27, 0], [-33, 0], [0, -4], [35, 0], [0, 22], [0, 21], [0, 0], [24, 0], [44, 0], [0, -17], [0, 30], [0, 48], [15, 0], [26, 0], [0, 4], [0, 26], [0, -21], [-20, 0], [-22, 0], [30, 0], [0, 14], [0, 48], [0, -12], [0, 0], [20, 0], [0, 2], [0, -48], [0, 24], [-16, 0], [-18, 0], [19, 0], [18, 0], [0, -26], [0, 20], [-53, 0], [0, 42], [32, 0], [0, -38], [36, 0], [37, 0], [0, -30], [0, -38], [0, -39], [33, 0], [-28, 0], [-18, 0], [0, -52], [0, 3], [46, 0], [48, 0], [0, -1], [0, 3], [-41, 0], [0, 45], [0, 34], [33, 0], [0, 20], [0, 0], [0, 22], [36, 0], [-8, 0], [-45, 0], [0, 22], [-18, 0], [0, -51], [0, -18], [0, 4], [30, 0], [0, -42], [0, 42], [-4, 0], [0, 55], [-8, 0], [0, 18], [42, 0], [-46, 0], [-54, 0], [0, -10], [-14, 0], [9, 0], [-10, 0], [12, 0], [0, -4], [28, 0], [0, 58], [-21, 0], [0, -49], [0, 12], [0, -33], [9, 0], [0, 25], [0, 32], [58, 0], [0, 0], [0, 56], [0, -12], [-52, 0], [6, 0], [0, 51], [0, -51], [-28, 0], [0, 26], [0, -21], [0, 3], [36, 0], [-55, 0], [0, -62], [22, 0], [-18, 0], [0, 45], [34, 0], [0, 0], [15, 0], [17, 0], [0, -32], [-39, 0], [0, -55], [0, -42], [48, 0], [-16, 0], [0, -32], [66, 0], [0, 0], [0, -9], [-22, 0], [-11, 0], [54, 0], [0, -31], [0, -42], [-50, 0], [0, 15], [-48, 0], [0, 34], [-45, 0], [0, -28], [70, 0], [-22, 0], [-66, 0], [0, 17], [0, 21], [4, 0], [0, 24], [12, 0], [27, 0], [0, -36], [29, 0], [0, 44], [-20, 0], [0, 3], [-18, 0], [0, -56], [-3, 0], [-5, 0], [0, -45], [0, -14], [9, 0], [0, -12], [64, 0], [0, -6], [48, 0], [-25, 0], [0, 52], [0, 6], [0, -77], [0, 35], [0, 12], [25, 0], [0, 50], [0, 45], [-44, 0], [-66, 0], [54, 0], [0, -64], [0, -51], [2, 0], [0, -47], [0, 23], [-50, 0], [0, 1], [0, 56], [0, 36], [-44, 0], [-19, 0], [18, 0], [0, -21], [23, 0], [0, 42], [-64, 0], [0, -50], [-69, 0], [0, -4], [0, 36], [-50, 0], [-30, 0], [24, 0], [0, 72], [0, -6], [-75, 0], [0, -31], [0, 0], [-46, 0], [0, -18], [-33, 0], [0, -83], [0, 59], [0, 27], [-11, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 9007405446728182, 'hecke_ring_character_values': [[851, [1, 0]], [1327, [-1, 0]], [751, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2550.2.d.c', 'level': 2550, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2550, 2, [851, 1327, 751], [2, 1, 2]], 'conrey_index': 2449, 'cusp_dim': 516, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19], 'hecke_orbit_code': 206191987190, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '2550.2.d', 'level': 2550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 564, 'mf_new_dim': 48, 'num_forms': 22, 'prim_orbit_index': 2, 'relative_dim': 48, 'sturm_bound': 1080, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, -48, 0, 4, 0, 0, -48, 0, -16, 0, 0, 16, 0, 48, 0, 0, 0, 0, 8, 0, 0, -4, 0, -16, 0, 0, -32, 0, 16, 0, 0, -8, 0, 48, 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0, 16, 0, -960, 0, 0, 400, 0, 560, 0, 0, 208, 0, 8, 0, 0, 160, 0, -80, 0, 0, -400, 0, -768, 0, 0, -16, 0, 96, 0, 0, 32, 0, 416, 0, 0, 64, 0, -48, 0, 0, 816, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 963241
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2550.2.d.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2550.2.a.j', 'target_level': 2550, 'twist_class_label': '2550.2.a.j', 'twist_class_level': 2550, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 963242
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2550.2.d.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': True, 'target_label': '2550.2.a.w', 'target_level': 2550, 'twist_class_label': '2550.2.a.j', 'twist_class_level': 2550, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 963243
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2550.2.d.c', 'source_level': 2550, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2550.2.d.c', 'target_level': 2550, 'twist_class_label': '2550.2.a.j', 'twist_class_level': 2550, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 963244
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2550.2.d.c', 'source_level': 2550, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2550.2.d.c', 'target_level': 2550, 'twist_class_label': '2550.2.a.j', 'twist_class_level': 2550, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 963245
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2550.2.d.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '7650.2.a.v', 'target_level': 7650, 'twist_class_label': '2550.2.a.j', 'twist_class_level': 2550, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963246
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2550.2.d.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '7650.2.a.bt', 'target_level': 7650, 'twist_class_label': '2550.2.a.j', 'twist_class_level': 2550, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2724800
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 2}
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id: 2724801
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 3}
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id: 2724802
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405446728182, 'p': 5}
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id: 2724803
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 7}
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id: 2724804
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 9007405446728182, 'p': 11}
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id: 2724805
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 13}
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id: 2724806
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 17}
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id: 2724807
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 9007405446728182, 'p': 19}
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id: 2724808
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 23}
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id: 2724809
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 9007405446728182, 'p': 29}
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id: 2724810
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 9007405446728182, 'p': 31}
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id: 2724811
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 37}
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id: 2724812
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 9007405446728182, 'p': 41}
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id: 2724813
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 43}
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id: 2724814
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 47}
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id: 2724815
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 53}
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id: 2724816
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405446728182, 'p': 59}
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id: 2724817
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 9007405446728182, 'p': 61}
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id: 2724818
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 67}
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id: 2724819
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 9007405446728182, 'p': 71}
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id: 2724820
{'charpoly_factorization': [[[256, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 73}
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id: 2724821
{'charpoly_factorization': [[[17, 1], 2]], 'hecke_orbit_code': 9007405446728182, 'p': 79}
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id: 2724822
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 83}
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id: 2724823
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 9007405446728182, 'p': 89}
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id: 2724824
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 9007405446728182, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 3, 'label': '2550.2.d.c', 'level': 2550, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 117180000
{'hecke_orbit_code': 9007405446728182, 'n': 1, 'trace_an': 2}
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id: 117180001
{'hecke_orbit_code': 9007405446728182, 'n': 2, 'trace_an': 0}
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id: 117180002
{'hecke_orbit_code': 9007405446728182, 'n': 3, 'trace_an': 0}
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id: 117180003
{'hecke_orbit_code': 9007405446728182, 'n': 4, 'trace_an': -2}
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id: 117180004
{'hecke_orbit_code': 9007405446728182, 'n': 5, 'trace_an': 0}
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id: 117180005
{'hecke_orbit_code': 9007405446728182, 'n': 6, 'trace_an': -2}
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id: 117180006
{'hecke_orbit_code': 9007405446728182, 'n': 7, 'trace_an': 0}
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id: 117180007
{'hecke_orbit_code': 9007405446728182, 'n': 8, 'trace_an': 0}
-
id: 117180008
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