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{'Nk2': 15288, 'analytic_conductor': 30.518823652533364, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [13, 1]], 'atkin_lehner_string': '--++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3822, 1, [2549, 3433, 1471], [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': [[5, [1, 1]], [11, [1, 1]], [17, [6, 1]], [29, [-3, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854673134, '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': '3822.2.a.be', 'level': 3822, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.i.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/3822/be'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3822.2.a', 'trace_display': [1, 1, -1, 0], 'trace_hash': 246161713469596594, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.977', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.945', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.901', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, 'traces': [1, 1, 1, 1, -1, 1, 0, 1, 1, -1, -1, 1, -1, 0, -1, 1, -6, 1, -4, -1, 0, -1, -6, 1, -4, -1, 1, 0, 3, -1, -11, 1, -1, -6, 0, 1, 4, -4, -1, -1, 12, 0, -8, -1, -1, -6, -8, 1, 0, -4, -6, -1, -5, 1, 1, 0, -4, 3, -5, -1, 12, -11, 0, 1, 1, -1, 16, -6, -6, 0, 6, 1, -10, 4, -4, -4, 0, -1, 7, -1, 1, 12, -17, 0, 6, -8, 3, -1, -12, -1, 0, -6, -11, -8, 4, 1, 13, 0, -1, -4, 10, -6, 0, -1, 0, -5, 7, 1, 12, 1, 4, 0, -4, -4, 6, 3, -1, -5, 0, -1, -10, 12, 12, -11, 9, 0, -7, 1, -8, 1, 1, -1, 0, 16, -1, -6, -8, -6, 0, 0, -8, 6, 1, 1, -3, -10, 0, 4, -10, -4, 13, -4, -6, 0, 11, -1, -18, 7, -5, -1, 0, 1, -8, 12, 1, -17, -24, 0, 1, 6, -4, -8, 6, 3, 0, -1, -5, -12, 12, -1, -16, 0, 12, -6, -4, -11, 6, -8, 0, 4, -6, 1, 15, 13, 1, 0, -18, -1, 8, -4, 16, 10, 0, -6, -12, 0, -6, -1, 4, 0, 12, -5, 6, 7, 8, 1, 0, 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1}
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mf_hecke_nf • Show schema
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{'an': [[1], [1], [1], [1], [-1], [1], [0], [1], [1], [-1], [-1], [1], [-1], [0], [-1], [1], [-6], [1], [-4], [-1], [0], [-1], [-6], [1], [-4], [-1], [1], [0], [3], [-1], [-11], [1], [-1], [-6], [0], [1], [4], [-4], [-1], [-1], [12], [0], [-8], [-1], [-1], [-6], [-8], [1], [0], [-4], [-6], [-1], [-5], [1], [1], [0], [-4], [3], [-5], [-1], [12], [-11], [0], [1], [1], [-1], [16], [-6], [-6], [0], [6], [1], [-10], [4], [-4], [-4], [0], [-1], [7], [-1], [1], [12], [-17], [0], [6], [-8], [3], [-1], [-12], [-1], [0], [-6], [-11], [-8], [4], [1], [13], [0], [-1], [-4]], 'ap': [[1], [1], [-1], [0], [-1], [-1], [-6], [-4], [-6], [3], [-11], [4], [12], [-8], [-8], [-5], [-5], [12], [16], [6], [-10], [7], [-17], [-12], [13], [10], [0], [7], [12], [-4], [-7], [1], [-8], [0], [-10], [13], [-18], [-8], [-24], [6], [12], [-16], [-6], [15], [-18], [8], [12], [7], [-15], [6], [6], [-6], [-15], [17], [-6], [-18], [-9], [-7], [-10], [4], [10], [-7], [6], [2], [13], [-3], [-8], [25], [20], [14], [30], [-22], [-7], [26], [16], [-14], [22], [-18], [-18], [25], [16], [-36], [-38], [-14], [-17], [-39], [20], [-11], [34], [-24], [12], [14], [23], [-35], [-28], [-6], [13], [28], [16], [32], [36], [-17], [21], [-4], [28], [1], [5], [-36], [-10], [11], [29], [0], [-36], [-8], [-29], [-12], [20], [-4], [-11], [-12], [22], [-39], [-35], [-27], [-40], [-13], [6], [46], [19], [2], [-26], [-32], [25], [-38], [-28], [31], [-42], [-12], [-3], [12], [-40], [-11], [44], [-25], [-2], [-16], [26], [54], [-8], [-4], [18], [30], [30], [36], [-36], [-10], [32], [-20], [-13], [15], [36], [-44], [-11], [-29], [42], [-26], [-5], [-28], [-27], [-15], [-63], [0], [-50], [47], [-15], [14], [32], [-5], [-24], [-46], [13], [-21], [-30], [42], [40], [17], [16], [10], [25], [52], [29], [-11], [4], [-30], [53], [32], [10], [-26], [54], [42], [-45], [-40], [-24], [66], [-44], [7], [40], [-5], [48], [30], [-46], [-55], [-9], [-15], [0], [-34], [37], [-16], [-38], [-6], [50], [4], [-18], [-27], [19], [40], [-42], [2], [-17], [-48], [-22], [-28], [-51], [4], [-26], [-76], [-19], [31], [-8], [26], [-36], [24], [-59], [-10], [10], [34], [13], [-48], [-44], [26], [64], [38], [-48], [2], [39], [-33], [16], [-38], [27], [-53], [-20], [21], [-40], [-74], [32], [54], [31], [-56], [64], [-43], [12], [64], [-53], [-35], [57], [-80], [-3], [-76], [26], [-84], [-60], [-19], [-58], [-36], [34], [20], [35], [-9], [11], [20], [18], [3], [24], [12], [-26], [-63], [48], [74], [-4], [22], [54], [-9], [-71], [53], [14], [-34], [61], [-6], [-14], [-58], [-84], [46], [-54], [26], [48], [74], [-25], [16], [-29], [18], [-40], [38], [51], [-20], [14], [3], [14], [32], [-80], [9], [-32], [-3], [-36], [12], [-28], [-60], [24], [-6], [-57], [-3], [-48], [72], [-43], [-71], [45], [-49], [18], [-74], [24], [11], [68], [13], [-14], [-31], [56], [-84], [0], [-33], [-90], [16], [-26], [14], [66], [12], [-94], [-1], [18], [-88], [-55], [-85], [42], [46], [-13], [80], [-74], [-20], [-48], [-19], [36], [38], [-54], [82], [20], [-58], [-30], [0], [-20], [4], [28], [-64], [15], [-54], [39], [62], [12], [-81], [-33], [80], [26], [51], [22], [-8], [-56], [42], [5], [-35], [66], [-2], [54], [71], [19], [101], [11], [-34], [-90], [-25], [-22], [-44], [10], [-44], [-75], [-58], [-8], [33], [-98], [46], [15], [38], [-38], [26]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 135107988854673134, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3822.2.a.be', 'level': 3822, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 3, 3], [[[2, 1], [3, 1], [7, -1], [13, -1]], 3, 3], [[[2, 1], [3, -1], [7, 1], [13, 1]], 5, 2], [[[2, 1], [3, 1], [7, 1], [13, 1]], 4, 3], [[[2, -1], [3, 1], [7, -1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, -1], [13, -1]], 6, 6], [[[2, 1], [3, -1], [7, -1], [13, -1]], 6, 5], [[[2, -1], [3, -1], [7, 1], [13, -1]], 7, 3], [[[2, 1], [3, -1], [7, 1], [13, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [13, 1]], 6, 4], [[[2, 1], [3, 1], [7, -1], [13, 1]], 6, 5], [[[2, -1], [3, -1], [7, -1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, 1], [13, -1]], 4, 2], [[[2, -1], [3, -1], [7, 1], [13, 1]], 4, 3], [[[2, 1], [3, 1], [7, 1], [13, -1]], 7, 2], [[[2, -1], [3, 1], [7, 1], [13, 1]], 5, 2]], 'ALdims': [4, 7, 6, 3, 5, 4, 6, 6, 5, 4, 6, 6, 4, 7, 6, 3], 'Nk2': 15288, 'analytic_conductor': 30.518823652533364, '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': [3822, 1, [2549, 3433, 1471], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 753, 'dim': 82, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17, 29], 'hecke_orbit_code': 33558254, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4], 'label': '3822.2.a', 'level': 3822, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 816, 'mf_new_dim': 82, 'num_forms': 53, 'plus_dim': 34, 'prim_orbit_index': 1, 'relative_dim': 82, 'sturm_bound': 1568, 'trace_bound': 11, 'trace_display': [0, 0, -8, 0], 'traces': [82, 0, 0, 82, -8, -2, 0, 0, 82, -4, -8, 0, -2, 0, -4, 82, -4, 0, 4, -8, 0, -16, -8, -2, 54, 0, 0, 0, -20, -8, -12, 0, 0, -16, 0, 82, 4, -12, 0, -4, 0, 0, -16, -8, -8, 8, 8, 0, 0, 0, 0, -2, -12, -2, 0, 0, 12, 0, -32, -4, 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232, -144, -96, 292, -208, 0, 0, -32, -256, 16, -144, -124, -32, 0, 4, -96, 72, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1155089
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '3822.2.a.be', 'source_level': 3822, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '546.2.i.b', 'target_level': 546, 'twist_class_label': '546.2.i.b', 'twist_class_level': 546, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1155090
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '3822.2.a.be', 'source_level': 3822, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1638.2.j.h', 'target_level': 1638, 'twist_class_label': '546.2.i.b', 'twist_class_level': 546, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1155091
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '3822.2.a.be', 'source_level': 3822, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3822.2.a.v', 'target_level': 3822, 'twist_class_label': '546.2.i.b', 'twist_class_level': 546, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1155092
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '3822.2.a.be', 'source_level': 3822, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '3822.2.a.be', 'target_level': 3822, 'twist_class_label': '546.2.i.b', 'twist_class_level': 546, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3378750
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 2}
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id: 3378751
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 3}
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id: 3378752
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 5}
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id: 3378753
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 7}
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id: 3378754
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 11}
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id: 3378755
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 13}
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id: 3378756
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 17}
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id: 3378757
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 19}
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id: 3378758
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 23}
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id: 3378759
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 29}
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id: 3378760
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 31}
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id: 3378761
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 37}
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id: 3378762
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 41}
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id: 3378763
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 43}
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id: 3378764
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 47}
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id: 3378765
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 53}
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id: 3378766
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 59}
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id: 3378767
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 61}
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id: 3378768
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 67}
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id: 3378769
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 71}
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id: 3378770
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 73}
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id: 3378771
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 79}
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id: 3378772
{'charpoly_factorization': [[[17, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 83}
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id: 3378773
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 89}
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id: 3378774
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 135107988854673134, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '3822.2.a.be', 'level': 3822, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 265497000
{'hecke_orbit_code': 135107988854673134, 'n': 1, 'trace_an': 1}
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id: 265497001
{'hecke_orbit_code': 135107988854673134, 'n': 2, 'trace_an': 1}
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{'hecke_orbit_code': 135107988854673134, 'n': 991, 'trace_an': -5}
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id: 265497991
{'hecke_orbit_code': 135107988854673134, 'n': 992, 'trace_an': -11}
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id: 265497992
{'hecke_orbit_code': 135107988854673134, 'n': 993, 'trace_an': -8}
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id: 265497993
{'hecke_orbit_code': 135107988854673134, 'n': 994, 'trace_an': 0}
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id: 265497994
{'hecke_orbit_code': 135107988854673134, 'n': 995, 'trace_an': -8}
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id: 265497995
{'hecke_orbit_code': 135107988854673134, 'n': 996, 'trace_an': -17}
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id: 265497996
{'hecke_orbit_code': 135107988854673134, 'n': 997, 'trace_an': -28}
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id: 265497997
{'hecke_orbit_code': 135107988854673134, 'n': 998, 'trace_an': -28}
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id: 265497998
{'hecke_orbit_code': 135107988854673134, 'n': 999, 'trace_an': 4}
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id: 265497999
{'hecke_orbit_code': 135107988854673134, 'n': 1000, 'trace_an': 9}