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{'Nk2': 18240, 'analytic_conductor': 36.41178332170386, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 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': [4560, 1, [1711, 1141, 3041, 2737, 1921], [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, [4, 1]], [13, [-2, 1]], [17, [-2, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326227920, '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': '4560.2.a.s', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '570.2.a.g', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+q^{9}-4q^{11}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/4560/s'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4560.2.a', 'trace_display': [0, 1, -1, 0], 'trace_hash': 782912210750216713, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.042', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [-1], [0], [0], [0], [1], [0], [-4], [0], [2], [0], [-1], [0], [2], [0], [1], [0], [0], [0], [-4], [0], [1], [0], [1], [0], [6], [0], [-4], [0], [-4], [0], [0], [0], [-6], [0], [2], [0], [10], [0], [4], [0], [-1], [0], [12], [0], [-7], [0], [2], [0], [6], [0], [4], [0], [1], [0], [12], [0], [-2], [0], [0], [0], [-2], [0], [-4], [0], [-4], [0], [-8], [0], [-6], [0], [1], [0], [0], [0], [4], [0], [1], [0], [12], [0], [-2], [0], [6], [0], [10], [0], [0], [0], [-4], [0], [-1], [0], [2], [0], [-4], [0]], 'ap': [[0], [1], [-1], [0], [-4], [2], [2], [1], [-4], [6], [-4], [-6], [10], [4], [12], [6], [12], [-2], [-4], [-8], [-6], [4], [12], [10], [2], [10], [4], [4], [-6], [-14], [4], [12], [10], [20], [18], [12], [-2], [4], [0], [-10], [-20], [18], [-20], [2], [2], [0], [4], [-12], [20], [-10], [18], [-12], [26], [20], [2], [4], [-2], [-8], [-2], [-6], [28], [-2], [-4], [28], [-6], [-26], [-28], [26], [12], [-10], [26], [-12], [-24], [-22], [20], [0], [-22], [-18], [-14], [18], [-12], [26], [-8], [34], [-12], [-4], [-30], [-6], [-38], [-8], [28], [-20], [20], [36], [36], [36], [-18], [-6], [-28], [-10], [-20], [42], [-4], [-38], [44], [-30], [28], [10], [-16], [-38], [-4], [22], [-14], [-4], [8], [18], [4], [-36], [-6], [12], [10], [-14], [-42], [-36], [4], [18], [-10], [-28], [-40], [46], [-52], [-16], [4], [38], [18], [-46], [30], [52], [54], [34], [20], [-22], [-8], [-36], [10], [0], [14], [26], [-36], [-8], [-46], [-30], [-20], [48], [-28], [-24], [-8], [-6], [10], [30], [-52], [42], [32], [36], [2], [-56], [-4], [38], [-6], [34], [-44], [-54], [12], [-22], [-60], [10], [-12], [-62], [28], [62], [-24], [-28], [-14], [-6], [12], [2], [58], [20], [-14], [-52], [42], [-44], [44], [6], [-60], [-54], [-30], [-50], [42], [60], [-42], [-12], [26], [-14], [-4], [2], [16], [36], [-54], [-52], [-62], [-70], [-16], [-12], [-64], [18], [-32], [50], [-64], [-14], [50], [-28], [-14], [-48], [60], [54], [26], [-24], [36], [12], [-66], [-60], [-60], [58], [76], [-12], [34], [42], [36], [8], [44], [28], [56], [-38], [-14], [12], [-64], [20], [12], [36], [62], [18], [36], [-70], [-6], [-76], [-58], [-12], [38], [-6], [68], [60], [30], [-6], [82], [-44], [54], [10], [28], [74], [42], [-28], [10], [56], [-70], [40], [36], [-38], [-22], [-12], [16], [-16], [20], [2], [-52], [-20], [-30], [78], [16], [66], [58], [-52], [-54], [20], [-6], [18], [20], [18], [-20], [52], [-6], [46], [16], [-20], [28], [50], [76], [26], [-4], [-34], [-12], [18], [18], [-44], [4], [-54], [44], [48], [18], [2], [92], [-54], [-74], [-12], [-22], [-38], [60], [44], [0], [50], [-42], [-2], [0], [-76], [20], [-12], [82], [66], [26], [32], [58], [-38], [-82], [68], [14], [-20], [62], [36], [-40], [-54], [-4], [-86], [-38], [4], [-22], [42], [-60], [-28], [18], [-8], [38], [58], [72], [-44], [-84], [-62], [-30], [-4], [50], [12], [12], [68], [46], [80], [38], [60], [-100], [-46], [42], [58], [6], [10], [32], [-6], [-44], [-16], [0], [62], [-12], [88], [18], [-90], [-60], [-44], [24], [-6], [44], [-6], [4], [58], [90], [-14], [4], [90], [6], [-56], [-26], [18], [-28], [-84], [26], [-6], [4], [44], [74], [-78], [40], [68], [98], [0], [-90], [-38], [28], [-44], [42], [-42], [-4], [74], [4], [-60]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 81064793326227920, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4560.2.a.s', 'level': 4560, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [19, -1]], 4, 3], [[[2, -1], [3, 1], [5, 1], [19, 1]], 5, 5], [[[2, 1], [3, 1], [5, -1], [19, -1]], 3, 3], [[[2, 1], [3, -1], [5, -1], [19, 1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [19, 1]], 6, 3], [[[2, -1], [3, 1], [5, -1], [19, 1]], 3, 2], [[[2, 1], [3, 1], [5, 1], [19, 1]], 4, 3], [[[2, -1], [3, 1], [5, -1], [19, -1]], 6, 4], [[[2, 1], [3, 1], [5, 1], [19, -1]], 5, 2], [[[2, 1], [3, -1], [5, -1], [19, -1]], 6, 3], [[[2, 1], [3, -1], [5, 1], [19, -1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [19, -1]], 5, 4], [[[2, 1], [3, -1], [5, 1], [19, 1]], 5, 2], [[[2, -1], [3, -1], [5, -1], [19, 1]], 6, 4], [[[2, -1], [3, -1], [5, 1], [19, 1]], 4, 3]], 'ALdims': [4, 5, 6, 3, 5, 4, 3, 6, 5, 4, 3, 6, 4, 5, 6, 3], 'Nk2': 18240, 'analytic_conductor': 36.41178332170386, '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': [4560, 1, [1711, 1141, 3041, 2737, 1921], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 72, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33558992, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3], 'label': '4560.2.a', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 984, 'mf_new_dim': 72, 'num_forms': 48, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [0, 0, 0, -8], 'traces': [72, 0, 0, 0, 0, 0, -8, 0, 72, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 72, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 8, 0, 0, 0, 48, 0, 72, 0, 0, 0, 32, 0, -16, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, 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0, 16, 0, 64, 0, 32, 0, -160, 0, -80, 0, -64, 0, 352, 0, 736, 0, -48, 0, -160, 0, -160, 0, 32, 0, 80, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1211009
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4560.2.a.s', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '570.2.a.g', 'target_level': 570, 'twist_class_label': '570.2.a.g', 'twist_class_level': 570, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1211010
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4560.2.a.s', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1710.2.a.i', 'target_level': 1710, 'twist_class_label': '570.2.a.g', 'twist_class_level': 570, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1211011
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4560.2.a.s', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2850.2.a.m', 'target_level': 2850, 'twist_class_label': '570.2.a.g', 'twist_class_level': 570, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1211012
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4560.2.a.s', 'source_level': 4560, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2850.2.d.i', 'target_level': 2850, 'twist_class_label': '570.2.a.g', 'twist_class_level': 570, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1211013
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4560.2.a.s', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4560.2.a.s', 'target_level': 4560, 'twist_class_label': '570.2.a.g', 'twist_class_level': 570, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1211014
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4560.2.a.s', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '8550.2.a.x', 'target_level': 8550, 'twist_class_label': '570.2.a.g', 'twist_class_level': 570, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3634325
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 2}
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id: 3634326
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 3}
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id: 3634327
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 5}
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id: 3634328
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 7}
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id: 3634329
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 11}
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id: 3634330
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 13}
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id: 3634331
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 17}
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id: 3634332
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 19}
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id: 3634333
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 23}
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id: 3634334
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 29}
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id: 3634335
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 31}
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id: 3634336
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 37}
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id: 3634337
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 41}
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id: 3634338
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 43}
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id: 3634339
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 47}
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id: 3634340
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 53}
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id: 3634341
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 59}
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id: 3634342
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 61}
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id: 3634343
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 67}
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id: 3634344
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 71}
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id: 3634345
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 73}
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id: 3634346
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 79}
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id: 3634347
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 83}
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id: 3634348
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 89}
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id: 3634349
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 81064793326227920, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '4560.2.a.s', 'level': 4560, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 244372000
{'hecke_orbit_code': 81064793326227920, 'n': 1, 'trace_an': 1}
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id: 244372001
{'hecke_orbit_code': 81064793326227920, 'n': 2, 'trace_an': 0}
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id: 244372002
{'hecke_orbit_code': 81064793326227920, 'n': 3, 'trace_an': 1}
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id: 244372003
{'hecke_orbit_code': 81064793326227920, 'n': 4, 'trace_an': 0}
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id: 244372004
{'hecke_orbit_code': 81064793326227920, 'n': 5, 'trace_an': -1}
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id: 244372005
{'hecke_orbit_code': 81064793326227920, 'n': 6, 'trace_an': 0}
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id: 244372006
{'hecke_orbit_code': 81064793326227920, 'n': 7, 'trace_an': 0}
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id: 244372007
{'hecke_orbit_code': 81064793326227920, 'n': 8, 'trace_an': 0}
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id: 244372008
{'hecke_orbit_code': 81064793326227920, 'n': 9, 'trace_an': 1}
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id: 244372009
{'hecke_orbit_code': 81064793326227920, 'n': 10, 'trace_an': 0}
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id: 244372010
{'hecke_orbit_code': 81064793326227920, 'n': 11, 'trace_an': -4}
-
id: 244372011
{'hecke_orbit_code': 81064793326227920, 'n': 12, 'trace_an': 0}
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id: 244372012
{'hecke_orbit_code': 81064793326227920, 'n': 13, 'trace_an': 2}
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id: 244372013
{'hecke_orbit_code': 81064793326227920, 'n': 14, 'trace_an': 0}
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id: 244372014
{'hecke_orbit_code': 81064793326227920, 'n': 15, 'trace_an': -1}
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id: 244372015
{'hecke_orbit_code': 81064793326227920, 'n': 16, 'trace_an': 0}
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id: 244372016
{'hecke_orbit_code': 81064793326227920, 'n': 17, 'trace_an': 2}
-
id: 244372017
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