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{'Nk2': 36800, 'analytic_conductor': 73.46236985957795, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [23, -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': [9200, 1, [1151, 6901, 2577, 1201], [1, 1, 1, 1]], 'cm_discs': [], '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, [0, 1]], [7, [-1, 1]], [11, [-1, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580973552, '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': '9200.2.a.u', 'level': 9200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'minimal_twist': '575.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{7}-3q^{9}+q^{11}-q^{13}+5q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/9200/u'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9200.2.a', 'trace_display': [0, 0, 0, 1], 'trace_hash': 1973321153665906335, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.051', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.078', 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [1], [0], [-3], [0], [1], [0], [-1], [0], [0], [0], [0], [0], [5], [0], [0], [0], [1], [0], [0], [0], [0], [0], [-5], [0], [2], [0], [0], [0], [0], [0], [4], [0], [0], [0], [-5], [0], [-9], [0], [0], [0], [-6], [0], [-6], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [-8], [0], [-8], [0], [-3], [0], [0], [0], [8], [0], [0], [0], [10], [0], [3], [0], [0], [0], [1], [0], [3], [0], [9], [0], [3], [0], [0], [0], [0], [0], [10], [0], [-1], [0], [0], [0], [0], [0], [2], [0], [-3], [0]], 'ap': [[0], [0], [0], [1], [1], [-1], [0], [5], [1], [-5], [2], [4], [-5], [-9], [-6], [-2], [-8], [-8], [8], [10], [3], [3], [3], [10], [2], [10], [-17], [12], [-4], [6], [8], [6], [-18], [-20], [-2], [-6], [-14], [-6], [18], [-15], [-6], [-20], [-15], [-10], [17], [7], [6], [2], [-20], [-22], [5], [-10], [-30], [8], [2], [16], [3], [14], [33], [-30], [32], [-24], [16], [-28], [12], [33], [-14], [-22], [-24], [-25], [11], [-33], [17], [-20], [12], [-19], [-14], [-22], [32], [1], [-9], [22], [8], [-32], [-20], [-14], [-18], [38], [7], [-28], [33], [9], [14], [-24], [-10], [-21], [18], [0], [5], [31], [-18], [16], [-41], [-24], [-20], [31], [8], [25], [-30], [-30], [2], [-28], [-28], [-36], [-7], [-16], [31], [-38], [27], [3], [22], [-19], [12], [2], [20], [36], [6], [40], [-32], [22], [22], [-11], [-23], [-40], [-39], [-52], [-20], [-43], [-8], [-15], [-12], [1], [20], [37], [15], [9], [-37], [26], [44], [6], [38], [-20], [16], [28], [17], [55], [16], [-45], [-26], [18], [-22], [28], [-4], [15], [18], [39], [-2], [37], [-20], [54], [-17], [-13], [9], [14], [54], [44], [6], [-3], [53], [20], [-46], [47], [53], [-49], [-9], [40], [10], [17], [25], [56], [21], [-4], [-61], [30], [39], [-14], [-8], [14], [-16], [-30], [-2], [26], [13], [-16], [1], [-47], [0], [-44], [-9], [-52], [-55], [-3], [-29], [15], [-14], [-42], [-8], [10], [45], [-62], [-11], [-39], [46], [63], [24], [13], [50], [72], [-36], [0], [-18], [32], [-1], [5], [-12], [-45], [-16], [-60], [12], [42], [67], [52], [14], [-14], [26], [68], [-6], [12], [-5], [11], [42], [-38], [33], [-12], [59], [30], [70], [-43], [57], [-50], [72], [-45], [-38], [6], [-62], [75], [48], [42], [-41], [33], [43], [-76], [-36], [-1], [7], [-28], [-52], [29], [-76], [52], [-4], [-20], [-9], [26], [-44], [-30], [60], [-30], [-40], [-39], [-10], [-39], [39], [-20], [-14], [28], [51], [-45], [66], [-18], [4], [60], [-33], [66], [-36], [-71], [-6], [-6], [-40], [-5], [54], [48], [46], [16], [40], [-26], [40], [-72], [66], [54], [8], [-58], [53], [14], [-74], [-78], [-84], [62], [-35], [-6], [-18], [39], [70], [-18], [-52], [-6], [38], [72], [-17], [-92], [54], [-72], [-51], [-24], [-24], [8], [-66], [86], [-43], [-24], [64], [62], [35], [8], [14], [-21], [-57], [21], [-57], [-14], [54], [21], [-80], [-33], [-22], [46], [-38], [56], [-28], [-94], [-70], [34], [30], [59], [7], [62], [87], [-38], [42], [-23], [-54], [84], [98], [82], [95], [-92], [-18], [-50], [-4], [-24], [16], [-67], [16], [32], [24], [24], [45], [-66], [37], [14], [49], [-74], [-31], [-34], [-18], [-60], [-68], [98], [81], [-54], [34], [63], [103], [81], [-2], [39], [52], [-104], [80], [71], [-96], [-58], [80], [44], [-61], [67], [-27], [-57], [26], [16]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 90071992580973552, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '9200.2.a.u', 'level': 9200, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [23, -1]], 31, 11], [[[2, 1], [5, 1], [23, -1]], 25, 13], [[[2, 1], [5, 1], [23, 1]], 25, 10], [[[2, -1], [5, -1], [23, 1]], 25, 9], [[[2, -1], [5, 1], [23, -1]], 20, 12], [[[2, 1], [5, -1], [23, -1]], 27, 7], [[[2, 1], [5, -1], [23, 1]], 27, 7], [[[2, -1], [5, 1], [23, 1]], 29, 14]], 'Nk2': 36800, 'analytic_conductor': 73.46236985957795, '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': [9200, 1, [1151, 6901, 2577, 1201], [1, 1, 1, 1]], 'conrey_indexes': [1], 'cusp_dim': 1405, 'dim': 209, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33563632, '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, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8], 'label': '9200.2.a', 'level': 9200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'mf_dim': 1476, 'mf_new_dim': 209, 'num_forms': 83, 'plus_dim': 97, 'prim_orbit_index': 1, 'relative_dim': 209, 'sturm_bound': 2880, 'trace_bound': 11, 'trace_display': [0, 2, 0, 4], 'traces': [209, 0, 2, 0, 0, 0, 4, 0, 205, 0, 0, 0, 2, 0, 0, 0, -6, 0, 4, 0, 0, 0, -3, 0, 0, 0, 2, 0, 2, 0, 22, 0, 8, 0, 0, 0, 10, 0, -18, 0, 2, 0, 32, 0, 0, 0, 2, 0, 225, 0, -44, 0, -6, 0, 0, 0, 8, 0, -8, 0, 2, 0, -40, 0, 0, 0, 16, 0, 0, 0, 6, 0, -6, 0, 0, 0, -8, 0, 52, 0, 201, 0, -20, 0, 0, 0, 10, 0, -14, 0, 60, 0, 12, 0, 0, 0, -14, 0, 8, 0, -26, 0, -4, 0, 0, 0, 28, 0, -30, 0, 64, 0, 18, 0, 0, 0, 46, 0, 24, 0, 189, 0, -14, 0, 0, 0, 30, 0, 48, 0, -18, 0, -32, 0, 0, 0, 18, 0, 74, 0, 36, 0, -56, 0, 0, 0, -62, 0, -54, 0, 6, 0, 26, 0, 0, 0, -22, 0, 20, 0, 0, 0, 14, 0, 0, 0, -48, 0, 207, 0, 0, 0, 14, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1421718
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9200.2.a.u', 'source_level': 9200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '575.2.a.c', 'target_level': 575, 'twist_class_label': '575.2.a.c', 'twist_class_level': 575, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1421719
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9200.2.a.u', 'source_level': 9200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '575.2.a.d', 'target_level': 575, 'twist_class_label': '575.2.a.c', 'twist_class_level': 575, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1421720
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9200.2.a.u', 'source_level': 9200, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '575.2.b.b', 'target_level': 575, 'twist_class_label': '575.2.a.c', 'twist_class_level': 575, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1421721
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9200.2.a.u', 'source_level': 9200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '5175.2.a.e', 'target_level': 5175, 'twist_class_label': '575.2.a.c', 'twist_class_level': 575, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1421722
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9200.2.a.u', 'source_level': 9200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '5175.2.a.u', 'target_level': 5175, 'twist_class_label': '575.2.a.c', 'twist_class_level': 575, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1421723
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9200.2.a.u', 'source_level': 9200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '9200.2.a.r', 'target_level': 9200, 'twist_class_label': '575.2.a.c', 'twist_class_level': 575, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1421724
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9200.2.a.u', 'source_level': 9200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '9200.2.a.u', 'target_level': 9200, 'twist_class_label': '575.2.a.c', 'twist_class_level': 575, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4962575
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 2}
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id: 4962576
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 3}
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id: 4962577
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 5}
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id: 4962578
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 7}
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id: 4962579
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 11}
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id: 4962580
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 13}
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id: 4962581
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 17}
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id: 4962582
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 19}
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id: 4962583
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 23}
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id: 4962584
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 29}
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id: 4962585
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 31}
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id: 4962586
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 37}
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id: 4962587
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 41}
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id: 4962588
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 43}
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id: 4962589
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 47}
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id: 4962590
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 53}
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id: 4962591
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 59}
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id: 4962592
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 61}
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id: 4962593
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 67}
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id: 4962594
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 71}
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id: 4962595
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 73}
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id: 4962596
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 79}
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id: 4962597
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 83}
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id: 4962598
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 89}
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id: 4962599
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580973552, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '9200.2.a.u', 'level': 9200, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 250445000
{'hecke_orbit_code': 90071992580973552, 'n': 1, 'trace_an': 1}
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id: 250445001
{'hecke_orbit_code': 90071992580973552, 'n': 2, 'trace_an': 0}
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id: 250445002
{'hecke_orbit_code': 90071992580973552, 'n': 3, 'trace_an': 0}
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id: 250445003
{'hecke_orbit_code': 90071992580973552, 'n': 4, 'trace_an': 0}
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id: 250445004
{'hecke_orbit_code': 90071992580973552, 'n': 5, 'trace_an': 0}
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id: 250445005
{'hecke_orbit_code': 90071992580973552, 'n': 6, 'trace_an': 0}
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id: 250445006
{'hecke_orbit_code': 90071992580973552, 'n': 7, 'trace_an': 1}
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id: 250445007
{'hecke_orbit_code': 90071992580973552, 'n': 8, 'trace_an': 0}
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id: 250445008
{'hecke_orbit_code': 90071992580973552, 'n': 9, 'trace_an': -3}
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id: 250445009
{'hecke_orbit_code': 90071992580973552, 'n': 10, 'trace_an': 0}
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id: 250445010
{'hecke_orbit_code': 90071992580973552, 'n': 11, 'trace_an': 1}
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id: 250445011
{'hecke_orbit_code': 90071992580973552, 'n': 12, 'trace_an': 0}
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id: 250445012
{'hecke_orbit_code': 90071992580973552, 'n': 13, 'trace_an': -1}
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id: 250445013
{'hecke_orbit_code': 90071992580973552, 'n': 14, 'trace_an': 0}
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id: 250445014
{'hecke_orbit_code': 90071992580973552, 'n': 15, 'trace_an': 0}
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id: 250445015
{'hecke_orbit_code': 90071992580973552, 'n': 16, 'trace_an': 0}
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id: 250445016
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