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{'Nk2': 18400, 'analytic_conductor': 36.731184929788974, 'analytic_rank': 0, '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': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4600, 1, [1151, 2301, 2577, 1201], [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': [[3, [-1, 1]], [7, [0, 1]], [11, [-2, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679893496, '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': '4600.2.a.j', 'level': 4600, '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': '920.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-2q^{9}+2q^{11}+5q^{13}+4q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/4600/j'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4600.2.a', 'trace_display': [0, 1, 0, 0], 'trace_hash': 1807132274089940305, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.113', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [0], [0], [0], [0], [-2], [0], [2], [0], [5], [0], [0], [0], [4], [0], [-2], [0], [0], [0], [1], [0], [0], [0], [-5], [0], [-3], [0], [7], [0], [2], [0], [0], [0], [2], [0], [5], [0], [-9], [0], [4], [0], [0], [0], [9], [0], [-7], [0], [4], [0], [6], [0], [0], [0], [-2], [0], [0], [0], [2], [0], [0], [0], [0], [0], [2], [0], [1], [0], [-1], [0], [-1], [0], [0], [0], [0], [0], [-14], [0], [1], [0], [0], [0], [0], [0], [-3], [0], [16], [0], [0], [0], [7], [0], [0], [0], [4], [0], [-4], [0]], 'ap': [[0], [1], [0], [0], [2], [5], [4], [-2], [1], [-3], [7], [2], [-9], [4], [9], [6], [0], [2], [2], [-1], [-1], [-14], [0], [16], [4], [10], [0], [-10], [-4], [16], [7], [15], [12], [9], [14], [15], [4], [23], [-16], [-14], [9], [-2], [14], [-5], [-25], [-10], [28], [8], [4], [0], [25], [-9], [-10], [8], [-19], [-14], [-7], [0], [-13], [-32], [22], [-16], [-16], [-9], [-8], [-2], [-19], [-8], [28], [17], [27], [30], [24], [-14], [-16], [-16], [8], [-3], [-30], [-35], [-12], [-8], [28], [6], [-15], [25], [6], [-32], [-7], [24], [6], [16], [23], [1], [3], [-22], [-15], [36], [-28], [-35], [7], [24], [-36], [2], [4], [11], [9], [2], [-32], [5], [20], [-12], [26], [-48], [-40], [-24], [34], [-7], [-19], [0], [-10], [9], [30], [-5], [20], [-16], [-12], [32], [-46], [-52], [-23], [-24], [4], [-26], [13], [-34], [-24], [4], [-18], [10], [-29], [-6], [-3], [8], [-46], [-12], [-22], [41], [43], [-57], [50], [-28], [-52], [33], [30], [50], [60], [23], [26], [-48], [-15], [26], [3], [22], [26], [-50], [-32], [-14], [46], [-3], [18], [49], [8], [8], [-31], [-36], [-31], [-33], [-58], [-64], [47], [8], [19], [54], [54], [-12], [-30], [-18], [5], [-48], [-39], [20], [10], [-30], [-26], [-40], [-50], [40], [16], [-9], [-60], [-8], [23], [-18], [28], [-33], [-42], [-3], [55], [-43], [9], [-5], [36], [-22], [48], [44], [21], [-51], [-18], [57], [-13], [-26], [53], [72], [53], [-45], [-42], [-3], [-70], [-20], [-66], [8], [-10], [18], [-28], [12], [48], [-58], [-41], [-39], [8], [-25], [21], [-29], [-6], [39], [-39], [30], [-66], [2], [36], [30], [-26], [44], [-18], [1], [-26], [-62], [-5], [-13], [-36], [-24], [10], [-56], [50], [30], [-42], [-32], [-38], [15], [-55], [-58], [-28], [32], [-13], [1], [20], [18], [-70], [0], [75], [46], [42], [70], [-32], [48], [-26], [54], [40], [78], [74], [76], [-2], [6], [39], [-46], [-60], [69], [85], [11], [-28], [-46], [44], [-9], [-44], [-51], [52], [-36], [70], [30], [53], [26], [64], [23], [-6], [32], [-63], [39], [16], [-1], [44], [-28], [39], [-40], [66], [80], [70], [79], [-46], [-56], [17], [17], [25], [-17], [-74], [-33], [-70], [40], [63], [-40], [1], [-12], [-10], [-30], [-54], [44], [31], [-52], [34], [38], [79], [-17], [70], [18], [-80], [-42], [-76], [2], [-57], [36], [66], [-51], [-1], [-70], [47], [11], [33], [70], [-22], [-75], [52], [29], [20], [-72], [37], [-75], [82], [74], [36], [29], [42], [78], [52], [53], [-24], [-21], [49], [-22], [-14], [64], [-36], [-54], [87], [52], [44], [66], [40], [-24], [-84], [-42], [31], [79], [-68], [60], [83], [11], [-74], [-27], [64], [36], [-91], [21], [-70], [-86], [50], [-27], [-96], [-68], [12], [0], [28], [4], [-16], [-76], [31], [-63], [-74], [-90], [67], [-101]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 40532396679893496, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4600.2.a.j', 'level': 4600, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [23, -1]], 15, 5], [[[2, 1], [5, 1], [23, -1]], 14, 5], [[[2, 1], [5, 1], [23, 1]], 13, 7], [[[2, -1], [5, -1], [23, 1]], 13, 3], [[[2, -1], [5, 1], [23, -1]], 11, 5], [[[2, 1], [5, -1], [23, -1]], 12, 2], [[[2, 1], [5, -1], [23, 1]], 14, 4], [[[2, -1], [5, 1], [23, 1]], 12, 6]], 'ALdims': [13, 14, 14, 12, 12, 11, 13, 15], 'Nk2': 18400, 'analytic_conductor': 36.731184929788974, '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': [4600, 1, [1151, 2301, 2577, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 104, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33559032, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 7, 7, 8, 8], 'label': '4600.2.a', 'level': 4600, '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': 744, 'mf_new_dim': 104, 'num_forms': 37, 'plus_dim': 49, 'prim_orbit_index': 1, 'relative_dim': 104, 'sturm_bound': 1440, 'trace_bound': 11, 'trace_display': [0, 0, 0, -8], 'traces': [104, 0, 0, 0, 0, 0, -8, 0, 96, 0, 2, 0, -4, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, -12, 0, 16, 0, -20, 0, -12, 0, 0, 0, 10, 0, 20, 0, 4, 0, -10, 0, 0, 0, -4, 0, 112, 0, 40, 0, -18, 0, 0, 0, -32, 0, 48, 0, 14, 0, 20, 0, 0, 0, 6, 0, -4, 0, 28, 0, -16, 0, 0, 0, -8, 0, -68, 0, 88, 0, 14, 0, 0, 0, 20, 0, 12, 0, -60, 0, 4, 0, 0, 0, -16, 0, 74, 0, -80, 0, -28, 0, 0, 0, 18, 0, -66, 0, -60, 0, 44, 0, 0, 0, 0, 0, -24, 0, 88, 0, 44, 0, 0, 0, -28, 0, 16, 0, 76, 0, -16, 0, 0, 0, -28, 0, -40, 0, 36, 0, 56, 0, 0, 0, 24, 0, -30, 0, 44, 0, 36, 0, 0, 0, -18, 0, 56, 0, -8, 0, -16, 0, 0, 0, 64, 0, 92, 0, -26, 0, 36, 0, 0, 0, 16, 0, 36, 0, -54, 0, 24, 0, 0, 0, -28, 0, 52, 0, -56, 0, 28, 0, 0, 0, 72, 0, 32, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1212625
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4600.2.a.j', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '920.2.a.b', 'target_level': 920, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1212626
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4600.2.a.j', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1840.2.a.g', 'target_level': 1840, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1212627
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4600.2.a.j', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4600.2.a.j', 'target_level': 4600, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1212628
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4600.2.a.j', 'source_level': 4600, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '4600.2.e.h', 'target_level': 4600, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1212629
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4600.2.a.j', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '7360.2.a.g', 'target_level': 7360, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1212630
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4600.2.a.j', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '7360.2.a.t', 'target_level': 7360, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1212631
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4600.2.a.j', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '8280.2.a.e', 'target_level': 8280, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1212632
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4600.2.a.j', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '9200.2.a.n', 'target_level': 9200, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3646450
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 2}
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id: 3646451
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 3}
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id: 3646452
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 5}
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id: 3646453
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 7}
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id: 3646454
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 11}
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id: 3646455
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 13}
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id: 3646456
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 17}
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id: 3646457
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 19}
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id: 3646458
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 23}
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id: 3646459
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 29}
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id: 3646460
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 31}
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id: 3646461
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 37}
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id: 3646462
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 41}
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id: 3646463
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 43}
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id: 3646464
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 47}
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id: 3646465
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 53}
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id: 3646466
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 59}
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id: 3646467
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 61}
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id: 3646468
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 67}
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id: 3646469
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 71}
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id: 3646470
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 73}
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id: 3646471
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 79}
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id: 3646472
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 83}
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id: 3646473
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 89}
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id: 3646474
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 40532396679893496, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '4600.2.a.j', 'level': 4600, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 204646000
{'hecke_orbit_code': 40532396679893496, 'n': 1, 'trace_an': 1}
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id: 204646001
{'hecke_orbit_code': 40532396679893496, 'n': 2, 'trace_an': 0}
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id: 204646002
{'hecke_orbit_code': 40532396679893496, 'n': 3, 'trace_an': 1}
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id: 204646003
{'hecke_orbit_code': 40532396679893496, 'n': 4, 'trace_an': 0}
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id: 204646004
{'hecke_orbit_code': 40532396679893496, 'n': 5, 'trace_an': 0}
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id: 204646005
{'hecke_orbit_code': 40532396679893496, 'n': 6, 'trace_an': 0}
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id: 204646006
{'hecke_orbit_code': 40532396679893496, 'n': 7, 'trace_an': 0}
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id: 204646007
{'hecke_orbit_code': 40532396679893496, 'n': 8, 'trace_an': 0}
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id: 204646008
{'hecke_orbit_code': 40532396679893496, 'n': 9, 'trace_an': -2}
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id: 204646009
{'hecke_orbit_code': 40532396679893496, 'n': 10, 'trace_an': 0}
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id: 204646010
{'hecke_orbit_code': 40532396679893496, 'n': 11, 'trace_an': 2}
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id: 204646011
{'hecke_orbit_code': 40532396679893496, 'n': 12, 'trace_an': 0}
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id: 204646012
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