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{'Nk2': 34560, 'analytic_conductor': 68.99074734638626, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -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': [8640, 1, [2431, 3781, 6401, 3457], [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, [-1, 1]], [11, [2, 1]], [13, [-3, 1]], [17, [-2, 1]], [19, [-1, 1]]], 'hecke_orbit': 48, 'hecke_orbit_code': 211669182519976384, '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': '8640.2.a.bv', 'level': 8640, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '4320.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+q^{7}-2q^{11}+3q^{13}+2q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/8640/bv'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8640.2.a', 'trace_display': [0, 0, 1, 1], 'trace_hash': 1747642102705172242, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.984', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1], [0], [0], [0], [1], [0], [1], [0], [0], [0], [-2], [0], [3], [0], [0], [0], [2], [0], [1], [0], [0], [0], [-6], [0], [1], [0], [0], [0], [-4], [0], [-8], [0], [0], [0], [1], [0], [1], [0], [0], [0], [-4], [0], [-4], [0], [0], [0], [-2], [0], [-6], [0], [0], [0], [-8], [0], [-2], [0], [0], [0], [-6], [0], [13], [0], [0], [0], [3], [0], [-3], [0], [0], [0], [0], [0], [-11], [0], [0], [0], [-2], [0], [7], [0], [0], [0], [-8], [0], [2], [0], [0], [0], [-6], [0], [3], [0], [0], [0], [1], [0], [-11], [0], [0], [0]], 'ap': [[0], [0], [1], [1], [-2], [3], [2], [1], [-6], [-4], [-8], [1], [-4], [-4], [-2], [-8], [-6], [13], [-3], [0], [-11], [7], [-8], [-6], [-11], [16], [5], [-6], [2], [6], [-12], [8], [2], [7], [-4], [11], [14], [3], [-10], [0], [0], [3], [-22], [-1], [10], [-7], [-13], [8], [0], [22], [8], [-8], [-3], [-28], [-28], [-4], [6], [-17], [10], [8], [20], [-30], [28], [10], [-21], [4], [-25], [13], [-24], [5], [36], [-26], [33], [-7], [9], [-32], [34], [-2], [-24], [5], [-30], [11], [-14], [14], [32], [-12], [22], [18], [6], [-11], [-6], [-24], [29], [2], [16], [34], [-18], [-6], [41], [-5], [-25], [-2], [0], [-6], [-7], [-17], [2], [24], [36], [46], [1], [-11], [-30], [-35], [-21], [-36], [-36], [-12], [-36], [28], [-7], [-29], [34], [-44], [-36], [42], [-41], [-40], [16], [-6], [20], [6], [-5], [-13], [-50], [15], [-40], [53], [24], [-12], [-28], [50], [-21], [-38], [-17], [36], [-19], [48], [-17], [14], [-43], [-46], [-1], [28], [49], [32], [-40], [24], [43], [10], [-10], [34], [43], [-18], [24], [-34], [-59], [-18], [29], [-50], [-48], [-34], [-18], [41], [45], [-24], [-44], [-22], [7], [50], [27], [28], [26], [-18], [-48], [8], [-9], [15], [1], [6], [25], [28], [-17], [30], [54], [34], [-13], [-61], [-42], [64], [-18], [-41], [35], [17], [52], [32], [43], [62], [50], [-15], [3], [2], [35], [-34], [52], [-29], [8], [22], [48], [-48], [-13], [8], [-16], [0], [66], [-3], [42], [-14], [9], [18], [11], [-24], [-44], [-62], [-1], [-30], [13], [6], [-72], [60], [8], [25], [23], [-27], [-14], [22], [47], [72], [8], [36], [-30], [54], [-10], [-15], [-42], [62], [-37], [12], [-12], [-42], [-71], [26], [-49], [73], [-68], [60], [-6], [40], [40], [54], [53], [23], [-26], [3], [-46], [29], [-42], [14], [-26], [20], [-6], [-12], [20], [45], [27], [10], [33], [-60], [-79], [50], [6], [-36], [0], [0], [-14], [24], [-23], [2], [12], [65], [-49], [36], [80], [48], [-73], [-62], [54], [67], [56], [41], [-42], [-32], [-52], [23], [78], [2], [26], [-38], [-86], [34], [13], [-33], [88], [4], [48], [-83], [76], [64], [6], [-22], [35], [-76], [39], [12], [-40], [48], [-7], [2], [26], [12], [1], [18], [-48], [-89], [-40], [94], [-26], [20], [-60], [-34], [-91], [13], [0], [-56], [9], [-54], [16], [20], [52], [48], [53], [16], [24], [-54], [-61], [-61], [6], [37], [-81], [30], [-97], [0], [-36], [-7], [31], [-66], [48], [63], [-72], [29], [-54], [-84], [59], [48], [29], [60], [-44], [11], [-61], [-38], [-2], [96], [86], [33], [-54], [49], [3], [70], [100], [36], [30], [60], [-16], [52], [4], [-72], [23], [8], [-21], [66], [-98], [-12], [-54], [15], [-43], [-46], [-90], [43], [52], [-24], [-74], [46], [-18], [-64], [-18], [24], [22], [-40], [-20], [-36], [-75], [76], [-85], [16], [37], [6], [29], [-42], [77], [39], [50], [-34], [73], [0], [29], [-2], [4], [4], [-1], [-70], [-11], [-4], [-30], [-12], [17], [-36], [-54], [-38], [-37], [-42], [-16], [-88], [-92], [41], [67], [81], [-91], [-86], [78], [-68], [-8], [-42], [98], [-3], [54], [-82], [42], [-80], [2], [100], [49], [10], [-6]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 211669182519976384, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '8640.2.a.bv', 'level': 8640, 'maxp': 3457, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, -1], [5, 1]], 16, 11], [[[2, -1], [3, -1], [5, -1]], 18, 13], [[[2, 1], [3, -1], [5, -1]], 14, 10], [[[2, -1], [3, 1], [5, 1]], 16, 12], [[[2, -1], [3, 1], [5, -1]], 14, 11], [[[2, 1], [3, 1], [5, -1]], 18, 12], [[[2, 1], [3, 1], [5, 1]], 16, 11], [[[2, -1], [3, -1], [5, 1]], 16, 12]], 'ALdims': [16, 18, 16, 14, 16, 14, 16, 18], 'Nk2': 34560, 'analytic_conductor': 68.99074734638626, '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': [8640, 1, [2431, 3781, 6401, 3457], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1657, 'dim': 128, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33563072, '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, 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, 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mf_twists_nf • Show schema
Hide schema
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id: 1399826
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8640.2.a.bv', 'source_level': 8640, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '4320.2.a.c', 'target_level': 4320, 'twist_class_label': '4320.2.a.c', 'twist_class_level': 4320, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1399827
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8640.2.a.bv', 'source_level': 8640, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '4320.2.a.d', 'target_level': 4320, 'twist_class_label': '4320.2.a.c', 'twist_class_level': 4320, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1399828
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8640.2.a.bv', 'source_level': 8640, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '4320.2.a.i', 'target_level': 4320, 'twist_class_label': '4320.2.a.c', 'twist_class_level': 4320, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1399829
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8640.2.a.bv', 'source_level': 8640, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '4320.2.a.j', 'target_level': 4320, 'twist_class_label': '4320.2.a.c', 'twist_class_level': 4320, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1399830
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8640.2.a.bv', 'source_level': 8640, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '8640.2.a.m', 'target_level': 8640, 'twist_class_label': '4320.2.a.c', 'twist_class_level': 4320, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1399831
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8640.2.a.bv', 'source_level': 8640, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '8640.2.a.r', 'target_level': 8640, 'twist_class_label': '4320.2.a.c', 'twist_class_level': 4320, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1399832
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8640.2.a.bv', 'source_level': 8640, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '8640.2.a.bq', 'target_level': 8640, 'twist_class_label': '4320.2.a.c', 'twist_class_level': 4320, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1399833
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8640.2.a.bv', 'source_level': 8640, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '8640.2.a.bv', 'target_level': 8640, 'twist_class_label': '4320.2.a.c', 'twist_class_level': 4320, '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: 4808500
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 2}
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id: 4808501
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 3}
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id: 4808502
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 5}
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id: 4808503
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 7}
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id: 4808504
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 11}
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id: 4808505
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 13}
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id: 4808506
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 17}
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id: 4808507
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 19}
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id: 4808508
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 23}
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id: 4808509
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 29}
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id: 4808510
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 31}
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id: 4808511
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 37}
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id: 4808512
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 41}
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id: 4808513
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 43}
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id: 4808514
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 47}
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id: 4808515
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 53}
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id: 4808516
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 59}
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id: 4808517
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 61}
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id: 4808518
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 67}
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id: 4808519
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 71}
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id: 4808520
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 73}
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id: 4808521
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 79}
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id: 4808522
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 83}
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id: 4808523
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 89}
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id: 4808524
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 211669182519976384, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 48, 'label': '8640.2.a.bv', 'level': 8640, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 276711000
{'hecke_orbit_code': 211669182519976384, 'n': 1, 'trace_an': 1}
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id: 276711001
{'hecke_orbit_code': 211669182519976384, 'n': 2, 'trace_an': 0}
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id: 276711002
{'hecke_orbit_code': 211669182519976384, 'n': 3, 'trace_an': 0}
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id: 276711003
{'hecke_orbit_code': 211669182519976384, 'n': 4, 'trace_an': 0}
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id: 276711004
{'hecke_orbit_code': 211669182519976384, 'n': 5, 'trace_an': 1}
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id: 276711005
{'hecke_orbit_code': 211669182519976384, 'n': 6, 'trace_an': 0}
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id: 276711006
{'hecke_orbit_code': 211669182519976384, 'n': 7, 'trace_an': 1}
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id: 276711007
{'hecke_orbit_code': 211669182519976384, 'n': 8, 'trace_an': 0}
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id: 276711008
{'hecke_orbit_code': 211669182519976384, 'n': 9, 'trace_an': 0}
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id: 276711009
{'hecke_orbit_code': 211669182519976384, 'n': 10, 'trace_an': 0}
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id: 276711010
{'hecke_orbit_code': 211669182519976384, 'n': 11, 'trace_an': -2}
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id: 276711011
{'hecke_orbit_code': 211669182519976384, 'n': 12, 'trace_an': 0}
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id: 276711012
{'hecke_orbit_code': 211669182519976384, 'n': 13, 'trace_an': 3}
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id: 276711013
{'hecke_orbit_code': 211669182519976384, 'n': 14, 'trace_an': 0}
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id: 276711987
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id: 276711988
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id: 276711989
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id: 276711990
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id: 276711991
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id: 276711992
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id: 276711993
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id: 276711994
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id: 276711997
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id: 276711998
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id: 276711999
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