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mf_newforms • Show schema
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{'Nk2': 29760, 'analytic_conductor': 59.4086991038326, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [31, -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': [7440, 1, [6511, 1861, 4961, 2977, 5521], [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': [[7, [0, 1]], [11, [0, 1]], [13, [2, 1]], [17, [4, 1]], [19, [-4, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717824272, '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': '7440.2.a.z', 'level': 7440, '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, 5, 31], 'level_radical': 930, 'minimal_twist': '1860.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}+q^{9}-2q^{13}+q^{15}-4q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/7440/z'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7440.2.a', 'trace_display': [0, 1, 1, 0], 'trace_hash': 1077194032394566328, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', '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], [0], [0], [-2], [0], [1], [0], [-4], [0], [4], [0], [0], [0], [-4], [0], [1], [0], [1], [0], [-8], [0], [1], [0], [0], [0], [0], [0], [2], [0], [-2], [0], [-6], [0], [-4], [0], [1], [0], [-6], [0], [-7], [0], [-4], [0], [-4], [0], [0], [0], [4], [0], [-6], [0], [-10], [0], [0], [0], [-2], [0], [8], [0], [-4], [0], [6], [0], [10], [0], [1], [0], [0], [0], [8], [0], [1], [0], [-8], [0], [-4], [0], [-8], [0], [12], [0], [0], [0], [1], [0], [4], [0], [-18], [0], [0], [0]], 'ap': [[0], [1], [1], [0], [0], [-2], [-4], [4], [-4], [-8], [1], [2], [-6], [-4], [-6], [-4], [-6], [-10], [8], [6], [10], [8], [-8], [12], [-18], [-10], [4], [18], [-14], [-2], [0], [-6], [4], [4], [-18], [-16], [2], [12], [0], [18], [-4], [18], [-18], [-2], [-12], [0], [16], [16], [2], [-22], [14], [16], [-10], [-20], [22], [-12], [12], [8], [-2], [-10], [-20], [26], [-24], [-26], [14], [-18], [4], [2], [-12], [26], [-12], [-10], [0], [-2], [32], [-12], [-4], [-2], [28], [6], [-10], [22], [10], [-2], [32], [-22], [4], [34], [-32], [-32], [18], [-18], [-16], [-40], [20], [-26], [12], [18], [4], [-10], [32], [-40], [42], [-20], [-20], [-2], [8], [-6], [-2], [-30], [4], [-22], [18], [12], [-40], [0], [-4], [-28], [6], [26], [38], [-10], [-16], [42], [-8], [-30], [-6], [12], [-16], [-34], [-20], [-28], [0], [46], [-20], [30], [8], [-12], [-32], [40], [-4], [-24], [40], [32], [-30], [30], [42], [-34], [36], [-32], [50], [12], [4], [38], [40], [-12], [16], [0], [-10], [-4], [28], [-12], [-40], [-6], [-14], [-12], [16], [-18], [-10], [36], [-20], [-42], [-14], [-26], [-36], [24], [48], [-22], [-8], [6], [28], [12], [-38], [-48], [6], [8], [42], [0], [-10], [-14], [26], [42], [20], [-44], [-22], [12], [-46], [62], [-22], [66], [54], [-64], [-46], [14], [2], [8], [12], [60], [-66], [40], [70], [-48], [-24], [18], [-12], [-2], [28], [66], [32], [30], [-38], [-12], [30], [-60], [-6], [22], [-22], [-60], [-8], [-42], [22], [0], [-32], [-20], [20], [0], [58], [-6], [-12], [-40], [30], [52], [-72], [62], [24], [-6], [48], [28], [28], [26], [62], [-14], [-24], [50], [18], [70], [10], [12], [34], [2], [-20], [36], [26], [-62], [-32], [80], [30], [-50], [-20], [38], [46], [-68], [-14], [16], [66], [36], [-34], [46], [-38], [-24], [-54], [40], [-2], [-6], [44], [16], [-70], [36], [44], [-48], [-30], [78], [36], [-46], [34], [-20], [8], [-34], [-40], [-28], [86], [-4], [32], [30], [-20], [18], [72], [50], [-60], [-58], [40], [-68], [-18], [68], [22], [-10], [-36], [-8], [-46], [76], [4], [-58], [14], [12], [-66], [-2], [20], [72], [84], [-36], [-74], [18], [40], [-44], [-80], [-42], [70], [6], [-58], [56], [2], [48], [36], [32], [-54], [-90], [58], [-4], [12], [-18], [-84], [-22], [-46], [56], [-70], [24], [60], [4], [48], [-22], [-70], [-16], [-72], [22], [76], [-90], [58], [-16], [-2], [78], [12], [-6], [54], [-68], [-58], [-80], [30], [-34], [-46], [-38], [-8], [12], [-16], [-44], [-20], [-54], [100], [-34], [84], [-44], [-98], [-64], [94], [-28], [-22], [-54], [-40], [46], [-4], [-40], [-66], [-50], [24], [2], [24], [60], [58], [-72], [28], [-20], [-50], [-102], [68], [60], [-38], [50], [-60], [-76], [42], [78], [-4], [-30], [-48], [-78], [-74], [68], [38], [0], [76], [72], [-58], [-82], [-100], [86], [58], [-32], [14], [62], [44]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 112589990717824272, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '7440.2.a.z', 'level': 7440, 'maxp': 3067, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [7, 8, 9, 6, 8, 7, 6, 9, 8, 7, 6, 9, 7, 8, 9, 6], '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': [82, 90, 92, 85, 87, 90, 88, 83, 91, 82, 84, 91, 89, 86, 84, 89], 'Nk2': 29760, 'analytic_conductor': 59.4086991038326, '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': [7440, 1, [6511, 1861, 4961, 2977, 5521], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 120, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33561872, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5], 'label': '7440.2.a', 'level': 7440, '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, 5, 31], 'level_radical': 930, 'mf_dim': 1560, 'mf_new_dim': 120, 'num_forms': 58, 'plus_dim': 52, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 3072, 'trace_bound': 17, 'trace_display': [0, 0, 0, -8], 'traces': [120, 0, 0, 0, 0, 0, -8, 0, 120, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 120, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -16, 0, -16, 0, 0, 0, 0, 0, 104, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -16, 0, 8, 0, 0, 0, 32, 0, 0, 0, 0, 0, 32, 0, -16, 0, 120, 0, 48, 0, 0, 0, -24, 0, -16, 0, -48, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -40, 0, 0, 0, -96, 0, 32, 0, 0, 0, 64, 0, 0, 0, 0, 0, -80, 0, 168, 0, -48, 0, 0, 0, -16, 0, 0, 0, 48, 0, -32, 0, 0, 0, 64, 0, -80, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, -64, 0, 0, 0, 0, 0, -32, 0, 0, 0, 64, 0, 8, 0, 0, 0, 16, 0, 136, 0, 0, 0, 0, 0, -8, 0, 0, 0, 32, 0, -32, 0, -32, 0, 16, 0, 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'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1349088
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '7440.2.a.z', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1860.2.a.a', 'target_level': 1860, 'twist_class_label': '1860.2.a.a', 'twist_class_level': 1860, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1349089
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '7440.2.a.z', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '5580.2.a.d', 'target_level': 5580, 'twist_class_label': '1860.2.a.a', 'twist_class_level': 1860, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1349090
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '7440.2.a.z', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '7440.2.a.z', 'target_level': 7440, 'twist_class_label': '1860.2.a.a', 'twist_class_level': 1860, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1349091
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '7440.2.a.z', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '9300.2.a.l', 'target_level': 9300, 'twist_class_label': '1860.2.a.a', 'twist_class_level': 1860, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1349092
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '7440.2.a.z', 'source_level': 7440, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '9300.2.g.h', 'target_level': 9300, 'twist_class_label': '1860.2.a.a', 'twist_class_level': 1860, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4474325
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 2}
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id: 4474326
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 3}
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id: 4474327
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 5}
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id: 4474328
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 7}
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id: 4474329
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 11}
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id: 4474330
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 13}
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id: 4474331
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 17}
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id: 4474332
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 19}
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id: 4474333
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 23}
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id: 4474334
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 29}
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id: 4474335
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 31}
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id: 4474336
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 37}
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id: 4474337
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 41}
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id: 4474338
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 43}
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id: 4474339
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 47}
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id: 4474340
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 53}
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id: 4474341
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 59}
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id: 4474342
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 61}
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id: 4474343
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 67}
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id: 4474344
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 71}
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id: 4474345
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 73}
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id: 4474346
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 79}
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id: 4474347
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 83}
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id: 4474348
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 89}
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id: 4474349
{'charpoly_factorization': [[[18, 1], 1]], 'hecke_orbit_code': 112589990717824272, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 26, 'label': '7440.2.a.z', 'level': 7440, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 66937303
{'hecke_orbit_code': 112589990717824272, 'n': 1, 'trace_an': 1}
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id: 66937304
{'hecke_orbit_code': 112589990717824272, 'n': 2, 'trace_an': 0}
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id: 66937305
{'hecke_orbit_code': 112589990717824272, 'n': 3, 'trace_an': 1}
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id: 66937306
{'hecke_orbit_code': 112589990717824272, 'n': 4, 'trace_an': 0}
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id: 66937307
{'hecke_orbit_code': 112589990717824272, 'n': 5, 'trace_an': 1}
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id: 66937308
{'hecke_orbit_code': 112589990717824272, 'n': 6, 'trace_an': 0}
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id: 66937309
{'hecke_orbit_code': 112589990717824272, 'n': 7, 'trace_an': 0}
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id: 66937310
{'hecke_orbit_code': 112589990717824272, 'n': 8, 'trace_an': 0}
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id: 66937311
{'hecke_orbit_code': 112589990717824272, 'n': 9, 'trace_an': 1}
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id: 66937312
{'hecke_orbit_code': 112589990717824272, 'n': 10, 'trace_an': 0}
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id: 66937313
{'hecke_orbit_code': 112589990717824272, 'n': 11, 'trace_an': 0}
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id: 66937314
{'hecke_orbit_code': 112589990717824272, 'n': 12, 'trace_an': 0}
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id: 66937315
{'hecke_orbit_code': 112589990717824272, 'n': 13, 'trace_an': -2}
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id: 66937316
{'hecke_orbit_code': 112589990717824272, 'n': 14, 'trace_an': 0}
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id: 66937317
{'hecke_orbit_code': 112589990717824272, 'n': 15, 'trace_an': 1}
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id: 66937318
{'hecke_orbit_code': 112589990717824272, 'n': 16, 'trace_an': 0}
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id: 66937319
{'hecke_orbit_code': 112589990717824272, 'n': 17, 'trace_an': -4}
-
id: 66937320
{'hecke_orbit_code': 112589990717824272, 'n': 18, 'trace_an': 0}
-
id: 66937321
{'hecke_orbit_code': 112589990717824272, 'n': 19, 'trace_an': 4}
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id: 66937322
{'hecke_orbit_code': 112589990717824272, 'n': 20, 'trace_an': 0}
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id: 66937323
{'hecke_orbit_code': 112589990717824272, 'n': 21, 'trace_an': 0}
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id: 66937324
{'hecke_orbit_code': 112589990717824272, 'n': 22, 'trace_an': 0}
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id: 66937325
{'hecke_orbit_code': 112589990717824272, 'n': 23, 'trace_an': -4}
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id: 66937326
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