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mf_newforms • Show schema
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{'Nk2': 25536, 'analytic_conductor': 50.9764966503854, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -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': [6384, 1, [799, 4789, 2129, 913, 1009], [1, 1, 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, [0, 1]], [11, [-2, 1]], [13, [4, 1]], [17, [4, 1]], [23, [2, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599934704, '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': '6384.2.a.bc', 'level': 6384, '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, 19], 'level_radical': 798, 'minimal_twist': '399.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{7}+q^{9}+2q^{11}-4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/6384/bc'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6384.2.a', 'trace_display': [0, 1, 0, 1], 'trace_hash': 1619404036954020493, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.015', 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [0], [0], [1], [0], [1], [0], [2], [0], [-4], [0], [0], [0], [-4], [0], [1], [0], [1], [0], [-2], [0], [-5], [0], [1], [0], [-2], [0], [0], [0], [2], [0], [0], [0], [6], [0], [-4], [0], [-6], [0], [-8], [0], [0], [0], [0], [0], [1], [0], [-4], [0], [-2], [0], [0], [0], [1], [0], [-4], [0], [-10], [0], [1], [0], [0], [0], [-14], [0], [-2], [0], [12], [0], [10], [0], [-5], [0], [2], [0], [-10], [0], [1], [0], [12], [0], [0], [0], [-2], [0], [-6], [0], [-4], [0], [0], [0], [0], [0], [-4], [0], [2], [0]], 'ap': [[0], [1], [0], [1], [2], [-4], [-4], [1], [-2], [-2], [0], [6], [-6], [-8], [0], [-2], [-4], [-10], [-14], [12], [10], [-10], [12], [-6], [-4], [-16], [8], [-12], [-2], [-10], [2], [8], [-18], [4], [18], [6], [18], [0], [8], [6], [12], [16], [6], [-14], [-14], [0], [-6], [-12], [12], [-26], [6], [6], [-16], [-16], [22], [-14], [22], [0], [-26], [-26], [4], [14], [0], [12], [-14], [2], [-26], [22], [22], [-30], [28], [-22], [8], [10], [-34], [-32], [6], [34], [-30], [4], [-40], [2], [-20], [-12], [-8], [26], [30], [22], [-24], [16], [20], [4], [-38], [6], [16], [20], [30], [-30], [-32], [-30], [-22], [-38], [36], [-30], [36], [-30], [20], [0], [36], [-12], [-20], [6], [6], [44], [-12], [-18], [-20], [-12], [6], [20], [0], [6], [34], [48], [-20], [38], [18], [12], [32], [34], [-4], [8], [42], [22], [0], [-46], [14], [8], [-26], [2], [-16], [42], [8], [-36], [-20], [-24], [-26], [34], [-12], [8], [-18], [20], [40], [0], [-34], [-12], [-32], [4], [-42], [6], [-26], [22], [-4], [-12], [-30], [8], [-26], [10], [-38], [40], [0], [56], [50], [-30], [60], [-24], [12], [30], [-44], [-10], [-4], [-36], [-26], [-58], [58], [32], [66], [12], [62], [-40], [-8], [14], [34], [-54], [-42], [34], [26], [46], [20], [36], [22], [28], [56], [-32], [44], [48], [40], [48], [-30], [0], [-18], [48], [-56], [-68], [16], [-64], [-64], [66], [-36], [-34], [6], [4], [18], [56], [52], [-10], [-18], [-24], [64], [-10], [34], [-8], [-22], [-54], [-52], [72], [42], [18], [-30], [-16], [32], [12], [-40], [-38], [14], [12], [16], [60], [-58], [-6], [34], [24], [-66], [8], [-4], [58], [2], [-28], [-22], [-10], [42], [16], [-38], [-76], [48], [4], [22], [56], [50], [-42], [-8], [70], [2], [-60], [52], [-40], [58], [-38], [-38], [20], [-8], [-56], [-60], [44], [-12], [66], [-66], [-58], [80], [-42], [-54], [52], [6], [4], [-14], [68], [32], [-72], [60], [12], [-10], [-66], [52], [-8], [32], [-26], [32], [-28], [-42], [-6], [80], [30], [-82], [42], [-66], [52], [60], [4], [54], [46], [44], [54], [-62], [54], [-30], [56], [22], [16], [-52], [-42], [50], [-62], [-40], [64], [-48], [-68], [38], [-30], [78], [16], [26], [6], [-70], [26], [18], [-60], [-6], [-14], [-48], [48], [-60], [18], [34], [-12], [42], [-62], [-48], [8], [2], [-76], [-70], [-64], [-12], [24], [-4], [-82], [36], [90], [-14], [2], [-100], [-22], [-86], [-56], [-62], [20], [-50], [2], [48], [-16], [10], [18], [44], [74], [-60], [-48], [68], [22], [88], [0], [-18], [50], [102], [-84], [-32], [14], [24], [-90], [-50], [54], [52], [-78], [70], [-66], [-10], [48], [-98], [-14], [72], [-76], [-12], [-66], [100], [16], [-58], [-36], [-72], [-44], [12], [24], [34], [-96], [-86], [-84], [-76], [-18], [-12], [6], [-52], [-48]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 126100789599934704, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '6384.2.a.bc', 'level': 6384, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [8, 6, 7, 7, 7, 7, 6, 8, 8, 6, 4, 8, 5, 9, 9, 3], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [64, 77, 78, 66, 79, 67, 66, 76, 70, 76, 76, 68, 74, 66, 68, 78], 'Nk2': 25536, 'analytic_conductor': 50.9764966503854, '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': [6384, 1, [799, 4789, 2129, 913, 1009], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1257, 'dim': 108, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17, 23], 'hecke_orbit_code': 33560816, '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, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5], 'label': '6384.2.a', 'level': 6384, '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, 19], 'level_radical': 798, 'mf_dim': 1304, 'mf_new_dim': 108, 'num_forms': 58, 'plus_dim': 46, 'prim_orbit_index': 1, 'relative_dim': 108, 'sturm_bound': 2560, 'trace_bound': 25, 'trace_display': [0, 0, -8, -4], 'traces': [108, 0, 0, 0, -8, 0, -4, 0, 108, 0, -8, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, 116, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, -16, 0, 8, 0, -16, 0, -8, 0, 48, 0, 108, 0, 0, 0, 8, 0, -32, 0, 0, 0, 48, 0, -8, 0, -4, 0, 48, 0, -8, 0, 0, 0, -8, 0, 40, 0, -32, 0, 16, 0, 40, 0, 108, 0, 0, 0, -16, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 8, 0, -8, 0, -40, 0, -32, 0, 0, 0, 40, 0, -24, 0, 0, 0, 72, 0, 0, 0, -8, 0, 0, 0, 108, 0, 24, 0, -48, 0, 40, 0, -32, 0, 0, 0, 0, 0, 0, 0, 40, 0, 16, 0, 0, 0, 48, 0, 16, 0, 0, 0, -24, 0, -8, 0, 8, 0, 0, 0, 56, 0, 48, 0, 32, 0, 16, 0, 64, 0, 48, 0, 68, 0, 0, 0, -8, 0, -28, 0, -16, 0, -8, 0, 24, 0, -32, 0, 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0, 16, 0, -32, 0, 88, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1302193
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '6384.2.a.bc', 'source_level': 6384, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '399.2.a.c', 'target_level': 399, 'twist_class_label': '399.2.a.c', 'twist_class_level': 399, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1302194
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '6384.2.a.bc', 'source_level': 6384, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1197.2.a.a', 'target_level': 1197, 'twist_class_label': '399.2.a.c', 'twist_class_level': 399, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1302195
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '6384.2.a.bc', 'source_level': 6384, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2793.2.a.j', 'target_level': 2793, 'twist_class_label': '399.2.a.c', 'twist_class_level': 399, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1302196
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '6384.2.a.bc', 'source_level': 6384, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '6384.2.a.bc', 'target_level': 6384, 'twist_class_label': '399.2.a.c', 'twist_class_level': 399, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1302197
{'conductor': 76, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '6384.2.a.bc', 'source_level': 6384, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7581.2.a.b', 'target_level': 7581, 'twist_class_label': '399.2.a.c', 'twist_class_level': 399, 'twisting_char_label': '76.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1302198
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '6384.2.a.bc', 'source_level': 6384, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '8379.2.a.g', 'target_level': 8379, 'twist_class_label': '399.2.a.c', 'twist_class_level': 399, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1302199
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 29, 'source_is_minimal': False, 'source_label': '6384.2.a.bc', 'source_level': 6384, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '9975.2.a.d', 'target_level': 9975, 'twist_class_label': '399.2.a.c', 'twist_class_level': 399, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4172725
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 2}
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id: 4172726
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 3}
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id: 4172727
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 5}
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id: 4172728
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 7}
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id: 4172729
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 11}
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id: 4172730
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 13}
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id: 4172731
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 17}
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id: 4172732
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 19}
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id: 4172733
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 23}
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id: 4172734
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 29}
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id: 4172735
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 31}
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id: 4172736
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 37}
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id: 4172737
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 41}
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id: 4172738
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 43}
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id: 4172739
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 47}
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id: 4172740
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 53}
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id: 4172741
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 59}
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id: 4172742
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 61}
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id: 4172743
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 67}
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id: 4172744
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 71}
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id: 4172745
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 73}
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id: 4172746
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 79}
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id: 4172747
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 83}
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id: 4172748
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 89}
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id: 4172749
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 126100789599934704, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '6384.2.a.bc', 'level': 6384, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67975237
{'hecke_orbit_code': 126100789599934704, 'n': 1, 'trace_an': 1}
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id: 67975238
{'hecke_orbit_code': 126100789599934704, 'n': 2, 'trace_an': 0}
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id: 67975239
{'hecke_orbit_code': 126100789599934704, 'n': 3, 'trace_an': 1}
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id: 67975240
{'hecke_orbit_code': 126100789599934704, 'n': 4, 'trace_an': 0}
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id: 67975241
{'hecke_orbit_code': 126100789599934704, 'n': 5, 'trace_an': 0}
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id: 67975242
{'hecke_orbit_code': 126100789599934704, 'n': 6, 'trace_an': 0}
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id: 67975243
{'hecke_orbit_code': 126100789599934704, 'n': 7, 'trace_an': 1}
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id: 67975244
{'hecke_orbit_code': 126100789599934704, 'n': 8, 'trace_an': 0}
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id: 67975245
{'hecke_orbit_code': 126100789599934704, 'n': 9, 'trace_an': 1}
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id: 67975246
{'hecke_orbit_code': 126100789599934704, 'n': 10, 'trace_an': 0}
-
id: 67975247
{'hecke_orbit_code': 126100789599934704, 'n': 11, 'trace_an': 2}
-
id: 67975248
{'hecke_orbit_code': 126100789599934704, 'n': 12, 'trace_an': 0}
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id: 67975249
{'hecke_orbit_code': 126100789599934704, 'n': 13, 'trace_an': -4}
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id: 67975250
{'hecke_orbit_code': 126100789599934704, 'n': 14, 'trace_an': 0}
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id: 67975251
{'hecke_orbit_code': 126100789599934704, 'n': 15, 'trace_an': 0}
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id: 67975252
{'hecke_orbit_code': 126100789599934704, 'n': 16, 'trace_an': 0}
-
id: 67975253
{'hecke_orbit_code': 126100789599934704, 'n': 17, 'trace_an': -4}
-
id: 67975254
{'hecke_orbit_code': 126100789599934704, 'n': 18, 'trace_an': 0}
-
id: 67975255
{'hecke_orbit_code': 126100789599934704, 'n': 19, 'trace_an': 1}
-
id: 67975256
{'hecke_orbit_code': 126100789599934704, 'n': 20, 'trace_an': 0}
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