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{'Nk2': 10304, 'analytic_conductor': 20.569463560681825, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 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': [2576, 1, [2255, 645, 1473, 1569], [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]], [5, [0, 1]], [11, [-2, 1]], [13, [3, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934632464, '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': '2576.2.a.l', 'level': 2576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 23], 'level_radical': 322, 'minimal_twist': '644.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{7}-2q^{9}+2q^{11}-3q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/2576/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2576.2.a', 'trace_display': [0, 1, 0, -1], 'trace_hash': 1535236022070790426, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.108', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [0], [0], [-1], [0], [-2], [0], [2], [0], [-3], [0], [0], [0], [0], [0], [0], [0], [-1], [0], [1], [0], [-5], [0], [-5], [0], [1], [0], [5], [0], [2], [0], [0], [0], [-8], [0], [-3], [0], [-7], [0], [4], [0], [0], [0], [-3], [0], [1], [0], [0], [0], [-12], [0], [0], [0], [0], [0], [-4], [0], [-6], [0], [2], [0], [0], [0], [12], [0], [1], [0], [-13], [0], [3], [0], [-5], [0], [-2], [0], [-4], [0], [1], [0], [-16], [0], [0], [0], [1], [0], [4], [0], [3], [0], [5], [0], [0], [0], [10], [0], [-4], [0]], 'ap': [[0], [1], [0], [-1], [2], [-3], [0], [0], [1], [1], [5], [-8], [-7], [4], [-3], [-12], [-4], [-6], [12], [-13], [3], [-4], [-16], [4], [10], [-10], [-14], [8], [-4], [4], [-7], [-3], [10], [-1], [0], [11], [12], [9], [0], [26], [-3], [-18], [8], [-19], [9], [2], [-12], [-20], [20], [10], [-1], [15], [-18], [2], [5], [-18], [-5], [0], [-3], [22], [10], [-22], [20], [13], [14], [6], [29], [-2], [12], [-25], [7], [-24], [-24], [10], [14], [-14], [4], [-27], [-18], [-21], [-4], [-28], [30], [6], [7], [23], [30], [8], [15], [16], [42], [-18], [-31], [17], [19], [-16], [15], [-32], [10], [45], [17], [30], [-30], [-4], [-10], [19], [-7], [-6], [12], [-45], [8], [6], [12], [-10], [-16], [4], [-28], [21], [-5], [14], [40], [43], [-12], [-23], [-12], [-6], [16], [40], [-20], [-24], [9], [16], [-12], [-46], [-37], [-40], [26], [-8], [32], [42], [37], [6], [11], [12], [34], [-30], [-34], [-51], [29], [57], [22], [-58], [-12], [25], [28], [10], [-18], [-15], [4], [-18], [27], [-10], [41], [52], [-16], [-56], [-8], [34], [-32], [-15], [-36], [-41], [-40], [-6], [-53], [10], [13], [-37], [-28], [12], [17], [-36], [5], [-42], [-54], [0], [2], [-62], [-7], [48], [-31], [-52], [-20], [34], [-4], [-64], [44], [50], [18], [51], [-30], [-32], [-41], [-46], [30], [-45], [-44], [-21], [-25], [-65], [59], [-19], [-10], [-12], [24], [-22], [-65], [-9], [12], [3], [35], [12], [-3], [-34], [-7], [-29], [18], [-19], [-28], [20], [-34], [-58], [-10], [10], [2], [-14], [-8], [-6], [-73], [7], [-22], [-7], [-35], [-13], [26], [5], [-39], [-6], [-32], [66], [-14], [30], [-8], [-50], [66], [17], [-64], [-42], [-29], [43], [50], [-6], [54], [-24], [-62], [-62], [6], [-38], [44], [-47], [-49], [34], [-46], [10], [75], [13], [-20], [82], [-46], [0], [75], [80], [-48], [18], [20], [80], [20], [-30], [24], [50], [66], [-42], [-86], [66], [-31], [30], [-48], [21], [-9], [-37], [28], [-46], [58], [9], [-34], [-1], [52], [-62], [42], [-62], [-63], [-72], [80], [85], [82], [-4], [-73], [55], [24], [87], [50], [62], [-43], [52], [54], [8], [22], [-45], [-46], [64], [37], [55], [-77], [87], [6], [27], [-32], [-52], [-3], [-4], [-57], [12], [58], [10], [44], [-96], [45], [-12], [-26], [66], [-91], [-11], [-26], [10], [-40], [42], [-12], [-72], [53], [-8], [-68], [63], [-3], [18], [51], [-79], [41], [62], [-88], [21], [44], [-37], [-48], [10], [-73], [-73], [-60], [70], [78], [21], [72], [-6], [-80], [59], [66], [83], [45], [22], [4], [-2], [-52], [-78], [51], [48], [-24], [-46], [96], [58], [-26], [-10], [25], [-75], [-60], [-54], [-3], [-71], [10], [-83], [94], [-76], [-35], [27], [92], [42], [28], [35], [36], [68], [94], [78], [74], [46], [-72], [-84], [-77], [33], [-18], [-82], [45], [-59]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 49539595934632464, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2576.2.a.l', 'level': 2576, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [7, -1], [23, 1]], 5, 3], [[[2, -1], [7, -1], [23, -1]], 12, 4], [[[2, 1], [7, -1], [23, 1]], 10, 5], [[[2, 1], [7, 1], [23, 1]], 6, 4], [[[2, 1], [7, -1], [23, -1]], 6, 4], [[[2, 1], [7, 1], [23, -1]], 10, 3], [[[2, -1], [7, 1], [23, -1]], 8, 4], [[[2, -1], [7, 1], [23, 1]], 9, 4]], 'ALdims': [6, 10, 10, 6, 9, 8, 5, 12], 'Nk2': 10304, 'analytic_conductor': 20.569463560681825, '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': [2576, 1, [2255, 645, 1473, 1569], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 373, 'dim': 66, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11, 13], 'hecke_orbit_code': 33557008, '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, 4, 4, 5, 5, 5, 5], 'label': '2576.2.a', 'level': 2576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 23], 'level_radical': 322, 'mf_dim': 396, 'mf_new_dim': 66, 'num_forms': 31, 'plus_dim': 25, 'prim_orbit_index': 1, 'relative_dim': 66, 'sturm_bound': 768, 'trace_bound': 9, 'trace_display': [0, 0, 4, 0], 'traces': [66, 0, 0, 0, 4, 0, 0, 0, 74, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 62, 0, 12, 0, 4, 0, 0, 0, 0, 0, -12, 0, 20, 0, 4, 0, -12, 0, 32, 0, 20, 0, 0, 0, 66, 0, -24, 0, 4, 0, 32, 0, 0, 0, 12, 0, 20, 0, 0, 0, -24, 0, 0, 0, 0, 0, 4, 0, 4, 0, 88, 0, 0, 0, 0, 0, 82, 0, 0, 0, 24, 0, 68, 0, -12, 0, 0, 0, -24, 0, 32, 0, 20, 0, 40, 0, -4, 0, 32, 0, 0, 0, 56, 0, 20, 0, 64, 0, -28, 0, 0, 0, 44, 0, 20, 0, 90, 0, 28, 0, 72, 0, -28, 0, -32, 0, 104, 0, 0, 0, 72, 0, -44, 0, -16, 0, 24, 0, 40, 0, -40, 0, 0, 0, 20, 0, 28, 0, -44, 0, 96, 0, -44, 0, 16, 0, 0, 0, 28, 0, -16, 0, 44, 0, 46, 0, 56, 0, -20, 0, 0, 0, -32, 0, -108, 0, -44, 0, -48, 0, -8, 0, 8, 0, 0, 0, 40, 0, 20, 0, -56, 0, 52, 0, -24, 0, 48, 0, 0, 0, -40, 0, 18, 0, 32, 0, 0, 0, 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0, -768, 0, 84, 0, 96, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 966076
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '2576.2.a.l', 'source_level': 2576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '644.2.a.a', 'target_level': 644, 'twist_class_label': '644.2.a.a', 'twist_class_level': 644, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 966077
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '2576.2.a.l', 'source_level': 2576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2576.2.a.l', 'target_level': 2576, 'twist_class_label': '644.2.a.a', 'twist_class_level': 644, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 966078
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '2576.2.a.l', 'source_level': 2576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4508.2.a.c', 'target_level': 4508, 'twist_class_label': '644.2.a.a', 'twist_class_level': 644, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 966079
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '2576.2.a.l', 'source_level': 2576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '5796.2.a.e', 'target_level': 5796, 'twist_class_label': '644.2.a.a', 'twist_class_level': 644, '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: 2736825
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 2}
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id: 2736826
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 3}
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id: 2736827
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 5}
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id: 2736828
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 7}
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id: 2736829
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 11}
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id: 2736830
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 13}
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id: 2736831
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 17}
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id: 2736832
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 19}
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id: 2736833
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 23}
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id: 2736834
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 29}
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id: 2736835
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 31}
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id: 2736836
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 37}
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id: 2736837
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 41}
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id: 2736838
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 43}
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id: 2736839
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 47}
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id: 2736840
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 53}
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id: 2736841
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 59}
-
id: 2736842
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 61}
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id: 2736843
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 67}
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id: 2736844
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 71}
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id: 2736845
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 73}
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id: 2736846
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 79}
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id: 2736847
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 83}
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id: 2736848
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 89}
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id: 2736849
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 49539595934632464, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '2576.2.a.l', 'level': 2576, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 216279000
{'hecke_orbit_code': 49539595934632464, 'n': 1, 'trace_an': 1}
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id: 216279001
{'hecke_orbit_code': 49539595934632464, 'n': 2, 'trace_an': 0}
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id: 216279002
{'hecke_orbit_code': 49539595934632464, 'n': 3, 'trace_an': 1}
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id: 216279003
{'hecke_orbit_code': 49539595934632464, 'n': 4, 'trace_an': 0}
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id: 216279004
{'hecke_orbit_code': 49539595934632464, 'n': 5, 'trace_an': 0}
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id: 216279005
{'hecke_orbit_code': 49539595934632464, 'n': 6, 'trace_an': 0}
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id: 216279006
{'hecke_orbit_code': 49539595934632464, 'n': 7, 'trace_an': -1}
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id: 216279007
{'hecke_orbit_code': 49539595934632464, 'n': 8, 'trace_an': 0}
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id: 216279008
{'hecke_orbit_code': 49539595934632464, 'n': 9, 'trace_an': -2}
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id: 216279009
{'hecke_orbit_code': 49539595934632464, 'n': 10, 'trace_an': 0}
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id: 216279010
{'hecke_orbit_code': 49539595934632464, 'n': 11, 'trace_an': 2}
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id: 216279011
{'hecke_orbit_code': 49539595934632464, 'n': 12, 'trace_an': 0}
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id: 216279012
{'hecke_orbit_code': 49539595934632464, 'n': 13, 'trace_an': -3}
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id: 216279013
{'hecke_orbit_code': 49539595934632464, 'n': 14, 'trace_an': 0}
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id: 216279014
{'hecke_orbit_code': 49539595934632464, 'n': 15, 'trace_an': 0}
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id: 216279015
{'hecke_orbit_code': 49539595934632464, 'n': 16, 'trace_an': 0}
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id: 216279016
{'hecke_orbit_code': 49539595934632464, 'n': 17, 'trace_an': 0}
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