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{'Nk2': 4352, 'analytic_conductor': 8.687723739915306, 'analytic_rank': 2, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [17, 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': [1088, 1, [511, 69, 513], [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': [[3, [2, 1]], [5, [4, 1]], [7, [4, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 33555520, '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': '1088.2.a.a', 'level': 1088, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 17], 'level_radical': 34, 'minimal_twist': '544.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{3}-4q^{5}-4q^{7}+q^{9}-2q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/1088/a'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1088.2.a', 'trace_display': [0, -2, -4, -4], 'trace_hash': 1748684932624850777, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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192, 0, 32, 0, -72, 0, 32, 0, 12, 0, 64, 0, -88, 0, -36, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-2], [0], [-4], [0], [-4], [0], [1], [0], [-2], [0], [-2], [0], [8], [0], [-1], [0], [-8], [0], [8], [0], [-8], [0], [11], [0], [4], [0], [-4], [0], [-4], [0], [4], [0], [16], [0], [8], [0], [4], [0], [-2], [0], [4], [0], [-4], [0], [0], [0], [9], [0], [2], [0], [6], [0], [8], [0], [16], [0], [-4], [0], [-8], [0], [-4], [0], [8], [0], [-4], [0], [16], [0], [-8], [0], [-6], [0], [-22], [0], [8], [0], [0], [0], [-11], [0], [4], [0], [4], [0], [8], [0], [-6], [0], [8], [0], [8], [0], [32], [0], [-2], [0], [-2], [0]], 'ap': [[0], [-2], [-4], [-4], [-2], [-2], [-1], [-8], [-8], [-4], [-4], [8], [-2], [4], [0], [6], [-4], [-8], [-4], [-8], [-6], [0], [4], [-6], [-2], [-18], [-8], [-6], [12], [-6], [16], [2], [-10], [-14], [-14], [-8], [10], [-6], [12], [-12], [-8], [8], [-8], [-10], [0], [24], [22], [24], [-14], [-6], [-6], [-24], [-26], [-28], [6], [0], [4], [8], [4], [22], [-26], [-30], [0], [12], [22], [-32], [28], [-6], [34], [6], [6], [0], [8], [6], [-26], [8], [26], [-16], [-34], [22], [10], [-2], [0], [-14], [-32], [4], [30], [-6], [6], [-16], [-24], [16], [16], [-24], [14], [-16], [-6], [-10], [-36], [-16], [26], [-18], [12], [18], [26], [14], [-16], [2], [-16], [-38], [20], [26], [42], [10], [-32], [14], [14], [24], [36], [0], [-50], [-26], [16], [-42], [22], [-34], [-4], [24], [-32], [-26], [-16], [-52], [16], [50], [-10], [-18], [-30], [-38], [6], [38], [-2], [-32], [-40], [14], [2], [12], [20], [6], [-4], [0], [12], [-30], [36], [-48], [14], [-20], [0], [30], [22], [-24], [42], [-14], [-48], [-12], [-38], [24], [24], [-16], [-34], [-16], [0], [-2], [-4], [-22], [-56], [-30], [62], [-48], [-24], [-14], [-8], [42], [-40], [-22], [-48], [30], [-8], [24], [-2], [-20], [-38], [-46], [-32], [10], [-18], [-54], [-22], [-8], [-62], [24], [-64], [0], [-22], [-26], [-40], [26], [-56], [-56], [50], [40], [22], [18], [36], [48], [60], [38], [56], [-14], [20], [22], [-14], [-36], [46], [44], [20], [22], [-30], [24], [8], [18], [38], [38], [-40], [-6], [4], [48], [-66], [24], [50], [16], [-30], [40], [-32], [-54], [-22], [-12], [-52], [18], [-4], [24], [2], [42], [0], [-46], [18], [60], [-32], [46], [72], [70], [12], [-16], [-32], [-4], [78], [-60], [30], [-50], [2], [-38], [60], [64], [58], [-56], [78], [-8], [-36], [-50], [-70], [-60], [32], [-68], [28], [-58], [-54], [-8], [30], [8], [64], [50], [44], [-42], [78], [30], [24], [4], [-24], [-34], [18], [-52], [66], [42], [68], [-2], [-10], [-34], [-72], [56], [-24], [-46], [8], [-60], [-18], [-24], [8], [-10], [0], [12], [-70], [6], [-86], [-66], [42], [-64], [14], [-6], [-78], [-82], [-56], [40], [-76], [-16], [0], [-8], [-14], [-42], [-10], [18], [34], [72], [-42], [66], [-56], [8], [-2], [-6], [-48], [-28], [-36], [24], [76], [22], [-38], [-4], [-22], [-26], [40], [70], [-74], [-72], [-8], [90], [-32], [-46], [48], [6], [44], [-56], [14], [12], [-50], [-24], [6], [-40], [76], [6], [-52], [-10], [78], [74], [92], [70], [16], [66], [10], [28], [-80], [-38], [-42], [72], [50], [56], [-96], [-72], [-88], [-82], [56], [-26], [38], [6], [16], [62], [-24], [-82], [-86], [52], [-14], [78], [4], [54], [-6], [-22], [64], [50], [94], [0], [-32], [68], [-58], [-56], [-2], [28], [-64], [0], [86], [18], [-30], [42], [20], [-36]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 33555520, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1088.2.a.a', 'level': 1088, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [17, -1]], 6, 5], [[[2, 1], [17, 1]], 6, 5], [[[2, 1], [17, -1]], 10, 5], [[[2, -1], [17, 1]], 10, 7]], 'ALdims': [6, 10, 10, 6], 'Nk2': 4352, 'analytic_conductor': 8.687723739915306, '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': [1088, 1, [511, 69, 513], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 133, 'dim': 32, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33555520, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '1088.2.a', 'level': 1088, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 17], 'level_radical': 34, 'mf_dim': 156, 'mf_new_dim': 32, 'num_forms': 22, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 32, 'sturm_bound': 288, 'trace_bound': 9, 'trace_display': [0, 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mf_twists_nf • Show schema
Hide schema
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id: 641183
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1088.2.a.a', 'source_level': 1088, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '544.2.a.b', 'target_level': 544, 'twist_class_label': '544.2.a.b', 'twist_class_level': 544, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 641184
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1088.2.a.a', 'source_level': 1088, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '544.2.a.f', 'target_level': 544, 'twist_class_label': '544.2.a.b', 'twist_class_level': 544, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 641185
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1088.2.a.a', 'source_level': 1088, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1088.2.a.a', 'target_level': 1088, 'twist_class_label': '544.2.a.b', 'twist_class_level': 544, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 641186
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1088.2.a.a', 'source_level': 1088, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1088.2.a.j', 'target_level': 1088, 'twist_class_label': '544.2.a.b', 'twist_class_level': 544, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 641187
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1088.2.a.a', 'source_level': 1088, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4896.2.a.a', 'target_level': 4896, 'twist_class_label': '544.2.a.b', 'twist_class_level': 544, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 641188
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1088.2.a.a', 'source_level': 1088, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '4896.2.a.b', 'target_level': 4896, 'twist_class_label': '544.2.a.b', 'twist_class_level': 544, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 641189
{'conductor': 136, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1088.2.a.a', 'source_level': 1088, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '9248.2.a.a', 'target_level': 9248, 'twist_class_label': '544.2.a.b', 'twist_class_level': 544, 'twisting_char_label': '136.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 641190
{'conductor': 136, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1088.2.a.a', 'source_level': 1088, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '9248.2.a.h', 'target_level': 9248, 'twist_class_label': '544.2.a.b', 'twist_class_level': 544, 'twisting_char_label': '136.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 641191
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1088.2.a.a', 'source_level': 1088, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 57, 'target_is_minimal': False, 'target_label': '9792.2.a.ce', 'target_level': 9792, 'twist_class_label': '544.2.a.b', 'twist_class_level': 544, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 641192
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1088.2.a.a', 'source_level': 1088, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '9792.2.a.cf', 'target_level': 9792, 'twist_class_label': '544.2.a.b', 'twist_class_level': 544, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1668150
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 2}
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id: 1668151
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 3}
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id: 1668152
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 5}
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id: 1668153
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 7}
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id: 1668154
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 11}
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id: 1668155
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 13}
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id: 1668156
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 17}
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id: 1668157
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 19}
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id: 1668158
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 23}
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id: 1668159
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 29}
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id: 1668160
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 31}
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id: 1668161
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 37}
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id: 1668162
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 41}
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id: 1668163
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 43}
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id: 1668164
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 47}
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id: 1668165
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 53}
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id: 1668166
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 59}
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id: 1668167
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 61}
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id: 1668168
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 67}
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id: 1668169
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 71}
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id: 1668170
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 73}
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id: 1668171
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 79}
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id: 1668172
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 83}
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id: 1668173
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 89}
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id: 1668174
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33555520, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '1088.2.a.a', 'level': 1088, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 1069000
{'hecke_orbit_code': 33555520, 'n': 1, 'trace_an': 1}
-
id: 1069001
{'hecke_orbit_code': 33555520, 'n': 2, 'trace_an': 0}
-
id: 1069002
{'hecke_orbit_code': 33555520, 'n': 3, 'trace_an': -2}
-
id: 1069003
{'hecke_orbit_code': 33555520, 'n': 4, 'trace_an': 0}
-
id: 1069004
{'hecke_orbit_code': 33555520, 'n': 5, 'trace_an': -4}
-
id: 1069005
{'hecke_orbit_code': 33555520, 'n': 6, 'trace_an': 0}
-
id: 1069006
{'hecke_orbit_code': 33555520, 'n': 7, 'trace_an': -4}
-
id: 1069007
{'hecke_orbit_code': 33555520, 'n': 8, 'trace_an': 0}
-
id: 1069008
{'hecke_orbit_code': 33555520, 'n': 9, 'trace_an': 1}
-
id: 1069009
{'hecke_orbit_code': 33555520, 'n': 10, 'trace_an': 0}
-
id: 1069010
{'hecke_orbit_code': 33555520, 'n': 11, 'trace_an': -2}
-
id: 1069011
{'hecke_orbit_code': 33555520, 'n': 12, 'trace_an': 0}
-
id: 1069012
{'hecke_orbit_code': 33555520, 'n': 13, 'trace_an': -2}
-
id: 1069013
{'hecke_orbit_code': 33555520, 'n': 14, 'trace_an': 0}
-
id: 1069014
{'hecke_orbit_code': 33555520, 'n': 15, 'trace_an': 8}
-
id: 1069015
{'hecke_orbit_code': 33555520, 'n': 16, 'trace_an': 0}
-
id: 1069016
{'hecke_orbit_code': 33555520, 'n': 17, 'trace_an': -1}
-
id: 1069017
{'hecke_orbit_code': 33555520, 'n': 18, 'trace_an': 0}
-
id: 1069018
{'hecke_orbit_code': 33555520, 'n': 19, 'trace_an': -8}
-
id: 1069019
{'hecke_orbit_code': 33555520, 'n': 20, 'trace_an': 0}
-
id: 1069020
{'hecke_orbit_code': 33555520, 'n': 21, 'trace_an': 8}
-
id: 1069021
{'hecke_orbit_code': 33555520, 'n': 22, 'trace_an': 0}
-
id: 1069022
{'hecke_orbit_code': 33555520, 'n': 23, 'trace_an': -8}
-
id: 1069023
{'hecke_orbit_code': 33555520, 'n': 24, 'trace_an': 0}
-
id: 1069024
{'hecke_orbit_code': 33555520, 'n': 25, 'trace_an': 11}
-
id: 1069025
{'hecke_orbit_code': 33555520, 'n': 26, 'trace_an': 0}
-
id: 1069026
{'hecke_orbit_code': 33555520, 'n': 27, 'trace_an': 4}
-
id: 1069027
{'hecke_orbit_code': 33555520, 'n': 28, 'trace_an': 0}
-
id: 1069028
{'hecke_orbit_code': 33555520, 'n': 29, 'trace_an': -4}
-
id: 1069029
{'hecke_orbit_code': 33555520, 'n': 30, 'trace_an': 0}
-
id: 1069030
{'hecke_orbit_code': 33555520, 'n': 31, 'trace_an': -4}
-
id: 1069031
{'hecke_orbit_code': 33555520, 'n': 32, 'trace_an': 0}
-
id: 1069032
{'hecke_orbit_code': 33555520, 'n': 33, 'trace_an': 4}
-
id: 1069033
{'hecke_orbit_code': 33555520, 'n': 34, 'trace_an': 0}
-
id: 1069034
{'hecke_orbit_code': 33555520, 'n': 35, 'trace_an': 16}
-
id: 1069035
{'hecke_orbit_code': 33555520, 'n': 36, 'trace_an': 0}
-
id: 1069036
{'hecke_orbit_code': 33555520, 'n': 37, 'trace_an': 8}
-
id: 1069037
{'hecke_orbit_code': 33555520, 'n': 38, 'trace_an': 0}
-
id: 1069038
{'hecke_orbit_code': 33555520, 'n': 39, 'trace_an': 4}
-
id: 1069039
{'hecke_orbit_code': 33555520, 'n': 40, 'trace_an': 0}
-
id: 1069040
{'hecke_orbit_code': 33555520, 'n': 41, 'trace_an': -2}
-
id: 1069041
{'hecke_orbit_code': 33555520, 'n': 42, 'trace_an': 0}
-
id: 1069042
{'hecke_orbit_code': 33555520, 'n': 43, 'trace_an': 4}
-
id: 1069043
{'hecke_orbit_code': 33555520, 'n': 44, 'trace_an': 0}
-
id: 1069044
{'hecke_orbit_code': 33555520, 'n': 45, 'trace_an': -4}
-
id: 1069045
{'hecke_orbit_code': 33555520, 'n': 46, 'trace_an': 0}
-
id: 1069046
{'hecke_orbit_code': 33555520, 'n': 47, 'trace_an': 0}
-
id: 1069047
{'hecke_orbit_code': 33555520, 'n': 48, 'trace_an': 0}
-
id: 1069048
{'hecke_orbit_code': 33555520, 'n': 49, 'trace_an': 9}
-
id: 1069049
{'hecke_orbit_code': 33555520, 'n': 50, 'trace_an': 0}
-
id: 1069050
{'hecke_orbit_code': 33555520, 'n': 51, 'trace_an': 2}
-
id: 1069051
{'hecke_orbit_code': 33555520, 'n': 52, 'trace_an': 0}
-
id: 1069052
{'hecke_orbit_code': 33555520, 'n': 53, 'trace_an': 6}
-
id: 1069053
{'hecke_orbit_code': 33555520, 'n': 54, 'trace_an': 0}
-
id: 1069054
{'hecke_orbit_code': 33555520, 'n': 55, 'trace_an': 8}
-
id: 1069055
{'hecke_orbit_code': 33555520, 'n': 56, 'trace_an': 0}
-
id: 1069056
{'hecke_orbit_code': 33555520, 'n': 57, 'trace_an': 16}
-
id: 1069057
{'hecke_orbit_code': 33555520, 'n': 58, 'trace_an': 0}
-
id: 1069058
{'hecke_orbit_code': 33555520, 'n': 59, 'trace_an': -4}
-
id: 1069059
{'hecke_orbit_code': 33555520, 'n': 60, 'trace_an': 0}
-
id: 1069060
{'hecke_orbit_code': 33555520, 'n': 61, 'trace_an': -8}
-
id: 1069061
{'hecke_orbit_code': 33555520, 'n': 62, 'trace_an': 0}
-
id: 1069062
{'hecke_orbit_code': 33555520, 'n': 63, 'trace_an': -4}
-
id: 1069063
{'hecke_orbit_code': 33555520, 'n': 64, 'trace_an': 0}
-
id: 1069064
{'hecke_orbit_code': 33555520, 'n': 65, 'trace_an': 8}
-
id: 1069065
{'hecke_orbit_code': 33555520, 'n': 66, 'trace_an': 0}
-
id: 1069066
{'hecke_orbit_code': 33555520, 'n': 67, 'trace_an': -4}
-
id: 1069067
{'hecke_orbit_code': 33555520, 'n': 68, 'trace_an': 0}
-
id: 1069068
{'hecke_orbit_code': 33555520, 'n': 69, 'trace_an': 16}
-
id: 1069069
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id: 1069962
{'hecke_orbit_code': 33555520, 'n': 963, 'trace_an': -6}
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id: 1069963
{'hecke_orbit_code': 33555520, 'n': 964, 'trace_an': 0}
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id: 1069964
{'hecke_orbit_code': 33555520, 'n': 965, 'trace_an': 40}
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id: 1069965
{'hecke_orbit_code': 33555520, 'n': 966, 'trace_an': 0}
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id: 1069966
{'hecke_orbit_code': 33555520, 'n': 967, 'trace_an': -48}
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id: 1069967
{'hecke_orbit_code': 33555520, 'n': 968, 'trace_an': 0}
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id: 1069968
{'hecke_orbit_code': 33555520, 'n': 969, 'trace_an': -16}
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id: 1069969
{'hecke_orbit_code': 33555520, 'n': 970, 'trace_an': 0}
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id: 1069970
{'hecke_orbit_code': 33555520, 'n': 971, 'trace_an': -12}
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id: 1069971
{'hecke_orbit_code': 33555520, 'n': 972, 'trace_an': 0}
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id: 1069972
{'hecke_orbit_code': 33555520, 'n': 973, 'trace_an': 56}
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id: 1069973
{'hecke_orbit_code': 33555520, 'n': 974, 'trace_an': 0}
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id: 1069974
{'hecke_orbit_code': 33555520, 'n': 975, 'trace_an': 44}
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id: 1069975
{'hecke_orbit_code': 33555520, 'n': 976, 'trace_an': 0}
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id: 1069976
{'hecke_orbit_code': 33555520, 'n': 977, 'trace_an': -38}
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id: 1069977
{'hecke_orbit_code': 33555520, 'n': 978, 'trace_an': 0}
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id: 1069978
{'hecke_orbit_code': 33555520, 'n': 979, 'trace_an': 12}
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id: 1069979
{'hecke_orbit_code': 33555520, 'n': 980, 'trace_an': 0}
-
id: 1069980
{'hecke_orbit_code': 33555520, 'n': 981, 'trace_an': 12}
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id: 1069981
{'hecke_orbit_code': 33555520, 'n': 982, 'trace_an': 0}
-
id: 1069982
{'hecke_orbit_code': 33555520, 'n': 983, 'trace_an': 24}
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id: 1069983
{'hecke_orbit_code': 33555520, 'n': 984, 'trace_an': 0}
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id: 1069984
{'hecke_orbit_code': 33555520, 'n': 985, 'trace_an': 0}
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id: 1069985
{'hecke_orbit_code': 33555520, 'n': 986, 'trace_an': 0}
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id: 1069986
{'hecke_orbit_code': 33555520, 'n': 987, 'trace_an': 0}
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id: 1069987
{'hecke_orbit_code': 33555520, 'n': 988, 'trace_an': 0}
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id: 1069988
{'hecke_orbit_code': 33555520, 'n': 989, 'trace_an': -32}
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id: 1069989
{'hecke_orbit_code': 33555520, 'n': 990, 'trace_an': 0}
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id: 1069990
{'hecke_orbit_code': 33555520, 'n': 991, 'trace_an': 24}
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id: 1069991
{'hecke_orbit_code': 33555520, 'n': 992, 'trace_an': 0}
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id: 1069992
{'hecke_orbit_code': 33555520, 'n': 993, 'trace_an': -56}
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id: 1069993
{'hecke_orbit_code': 33555520, 'n': 994, 'trace_an': 0}
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id: 1069994
{'hecke_orbit_code': 33555520, 'n': 995, 'trace_an': -96}
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id: 1069995
{'hecke_orbit_code': 33555520, 'n': 996, 'trace_an': 0}
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id: 1069996
{'hecke_orbit_code': 33555520, 'n': 997, 'trace_an': -16}
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id: 1069997
{'hecke_orbit_code': 33555520, 'n': 998, 'trace_an': 0}
-
id: 1069998
{'hecke_orbit_code': 33555520, 'n': 999, 'trace_an': 32}
-
id: 1069999
{'hecke_orbit_code': 33555520, 'n': 1000, 'trace_an': 0}