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{'Nk2': 26880, 'analytic_conductor': 53.659470158300415, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [7, -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': [6720, 1, [1471, 3781, 4481, 5377, 1921], [1, 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': [[11, [4, 1]], [13, [2, 1]], [17, [2, 1]], [19, [0, 1]], [23, [-4, 1]], [29, [2, 1]], [31, [8, 1]]], 'hecke_orbit': 61, 'hecke_orbit_code': 270215977675790912, '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': '6720.2.a.ci', 'level': 6720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '3360.2.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}+q^{7}+q^{9}-4q^{11}-2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/6720/ci'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6720.2.a', 'trace_display': [0, 1, 1, 1], 'trace_hash': 532302041844555627, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.008', 'prec': 17}, 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'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [1], [0], [1], [0], [1], [0], [-4], [0], [-2], [0], [1], [0], [-2], [0], [0], [0], [1], [0], [4], [0], [1], [0], [1], [0], [-2], [0], [-8], [0], [-4], [0], [1], [0], [-10], [0], [-2], [0], [2], [0], [4], [0], [1], [0], [-4], [0], [1], [0], [-2], [0], [-10], [0], [-4], [0], [0], [0], [4], [0], [2], [0], [1], [0], [-2], [0], [4], [0], [4], [0], [0], [0], [-6], [0], [1], [0], [-4], [0], [-8], [0], [1], [0], [-4], [0], [-2], [0], [-2], [0], [-6], [0], [-2], [0], [-8], [0], [0], [0], [10], [0], [-4], [0]], 'ap': [[0], [1], [1], [1], [-4], [-2], [-2], [0], [4], [-2], [-8], [-10], [2], [4], [-4], [-10], [4], [2], [4], [0], [-6], [-8], [-4], [-6], [10], [-18], [16], [-4], [2], [6], [-8], [-12], [-2], [8], [-18], [-8], [-18], [-20], [4], [-18], [-12], [-6], [0], [26], [6], [8], [8], [0], [-4], [2], [6], [24], [2], [20], [-10], [4], [6], [16], [22], [18], [28], [-26], [28], [0], [10], [-2], [0], [-6], [-12], [-14], [-18], [16], [-8], [-18], [16], [4], [30], [-26], [10], [-38], [12], [-30], [-8], [-14], [24], [-36], [-6], [10], [-34], [24], [-12], [-24], [0], [-28], [-8], [-44], [22], [-22], [28], [18], [28], [30], [-44], [-30], [32], [10], [36], [6], [-48], [26], [0], [-26], [22], [8], [16], [2], [-4], [12], [-34], [12], [42], [-6], [6], [-12], [8], [-18], [34], [48], [-16], [-26], [-8], [-4], [0], [38], [-6], [-30], [-42], [20], [-2], [-38], [16], [38], [-56], [-12], [18], [16], [30], [54], [-8], [36], [-10], [34], [-52], [20], [44], [8], [40], [-30], [2], [-2], [-28], [-34], [56], [-12], [14], [-60], [40], [22], [-14], [22], [36], [42], [-24], [-30], [32], [-22], [8], [30], [8], [26], [-64], [-12], [-58], [-2], [-36], [6], [-10], [60], [10], [0], [2], [12], [-8], [14], [-52], [30], [66], [-26], [6], [-28], [54], [-56], [38], [50], [36], [-34], [-16], [-36], [18], [-56], [10], [22], [16], [12], [8], [58], [-40], [18], [-60], [14], [34], [8], [18], [24], [-28], [50], [-34], [-16], [0], [-52], [-42], [-72], [40], [2], [44], [-28], [66], [54], [-44], [-64], [60], [24], [24], [34], [14], [40], [8], [12], [-72], [-12], [-34], [58], [-68], [-22], [-34], [76], [-22], [20], [-10], [42], [0], [20], [-46], [-10], [70], [32], [-26], [66], [12], [54], [-6], [-20], [-38], [-8], [-14], [64], [-12], [2], [10], [68], [-68], [8], [-52], [2], [-4], [-48], [-46], [70], [-8], [42], [-10], [36], [-42], [44], [14], [-34], [40], [-42], [20], [28], [10], [-66], [-16], [4], [32], [-62], [-68], [-22], [-40], [30], [-36], [-42], [-38], [-76], [4], [-22], [52], [48], [-46], [82], [-72], [18], [70], [40], [-90], [34], [-80], [4], [52], [-26], [-70], [78], [0], [28], [8], [52], [58], [-66], [-86], [56], [-2], [-42], [-50], [24], [-2], [84], [2], [12], [0], [22], [16], [74], [-18], [0], [58], [54], [48], [-36], [-90], [36], [-34], [-78], [-12], [-12], [-92], [10], [-2], [-16], [10], [76], [-56], [-52], [22], [0], [-34], [20], [-88], [-38], [34], [66], [46], [-34], [-88], [-2], [-56], [-36], [64], [46], [-92], [68], [-46], [-58], [-12], [52], [-24], [-86], [-56], [-30], [64], [-2], [90], [-90], [-72], [-34], [-34], [88], [-98], [-6], [-4], [44], [-6], [22], [-76], [80], [-46], [54], [-96], [-72], [6], [-84], [70], [22], [-12], [12], [-54], [-50], [-92], [10], [24], [0], [-102], [60], [-48], [76], [54], [-6], [10], [26], [84]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 270215977675790912, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '6720.2.a.ci', 'level': 6720, 'maxp': 3067, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [7, -1]], 4, 4], [[[2, -1], [3, 1], [5, 1], [7, -1]], 4, 3], [[[2, 1], [3, 1], [5, -1], [7, -1]], 5, 5], [[[2, -1], [3, 1], [5, -1], [7, -1]], 7, 6], [[[2, 1], [3, 1], [5, 1], [7, -1]], 8, 5], [[[2, 1], [3, -1], [5, -1], [7, -1]], 8, 5], [[[2, 1], [3, -1], [5, 1], [7, -1]], 5, 5], [[[2, -1], [3, -1], [5, 1], [7, 1]], 6, 4], [[[2, -1], [3, -1], [5, -1], [7, 1]], 7, 6], [[[2, 1], [3, -1], [5, -1], [7, 1]], 5, 5], [[[2, 1], [3, -1], [5, 1], [7, 1]], 6, 4], [[[2, -1], [3, 1], [5, 1], [7, 1]], 7, 7], [[[2, -1], [3, -1], [5, 1], [7, -1]], 7, 7], [[[2, 1], [3, 1], [5, 1], [7, 1]], 5, 5], [[[2, -1], [3, 1], [5, -1], [7, 1]], 6, 5], [[[2, 1], [3, 1], [5, -1], [7, 1]], 6, 4]], 'ALdims': [5, 8, 6, 5, 6, 5, 5, 8, 7, 4, 6, 7, 6, 7, 7, 4], 'Nk2': 26880, 'analytic_conductor': 53.659470158300415, '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': [6720, 1, [1471, 3781, 4481, 5377, 1921], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1489, 'dim': 96, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 23, 29, 31], 'hecke_orbit_code': 33561152, '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, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '6720.2.a', 'level': 6720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1584, 'mf_new_dim': 96, 'num_forms': 80, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 3072, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1316018
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 61, 'source_is_minimal': False, 'source_label': '6720.2.a.ci', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '3360.2.a.f', 'target_level': 3360, 'twist_class_label': '3360.2.a.f', 'twist_class_level': 3360, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1316019
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 61, 'source_is_minimal': False, 'source_label': '6720.2.a.ci', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '3360.2.a.n', 'target_level': 3360, 'twist_class_label': '3360.2.a.f', 'twist_class_level': 3360, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1316020
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 61, 'source_is_minimal': False, 'source_label': '6720.2.a.ci', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '6720.2.a.v', 'target_level': 6720, 'twist_class_label': '3360.2.a.f', 'twist_class_level': 3360, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1316021
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 61, 'source_is_minimal': False, 'source_label': '6720.2.a.ci', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 61, 'target_is_minimal': False, 'target_label': '6720.2.a.ci', 'target_level': 6720, 'twist_class_label': '3360.2.a.f', 'twist_class_level': 3360, '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: 4268825
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 2}
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id: 4268826
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 3}
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id: 4268827
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 5}
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id: 4268828
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 7}
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id: 4268829
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 11}
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id: 4268830
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 13}
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id: 4268831
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 17}
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id: 4268832
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 19}
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id: 4268833
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 23}
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id: 4268834
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 29}
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id: 4268835
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 31}
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id: 4268836
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 37}
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id: 4268837
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 41}
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id: 4268838
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 43}
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id: 4268839
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 47}
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id: 4268840
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 53}
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id: 4268841
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 59}
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id: 4268842
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 61}
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id: 4268843
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 67}
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id: 4268844
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 71}
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id: 4268845
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 73}
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id: 4268846
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 79}
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id: 4268847
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 83}
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id: 4268848
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 89}
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id: 4268849
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 270215977675790912, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 61, 'label': '6720.2.a.ci', 'level': 6720, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 279443000
{'hecke_orbit_code': 270215977675790912, 'n': 1, 'trace_an': 1}
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id: 279443001
{'hecke_orbit_code': 270215977675790912, 'n': 2, 'trace_an': 0}
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id: 279443002
{'hecke_orbit_code': 270215977675790912, 'n': 3, 'trace_an': 1}
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id: 279443003
{'hecke_orbit_code': 270215977675790912, 'n': 4, 'trace_an': 0}
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id: 279443004
{'hecke_orbit_code': 270215977675790912, 'n': 5, 'trace_an': 1}
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id: 279443005
{'hecke_orbit_code': 270215977675790912, 'n': 6, 'trace_an': 0}
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id: 279443006
{'hecke_orbit_code': 270215977675790912, 'n': 7, 'trace_an': 1}
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id: 279443007
{'hecke_orbit_code': 270215977675790912, 'n': 8, 'trace_an': 0}
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id: 279443008
{'hecke_orbit_code': 270215977675790912, 'n': 9, 'trace_an': 1}
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id: 279443009
{'hecke_orbit_code': 270215977675790912, 'n': 10, 'trace_an': 0}
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id: 279443010
{'hecke_orbit_code': 270215977675790912, 'n': 11, 'trace_an': -4}
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id: 279443011
{'hecke_orbit_code': 270215977675790912, 'n': 12, 'trace_an': 0}
-
id: 279443012
{'hecke_orbit_code': 270215977675790912, 'n': 13, 'trace_an': -2}
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id: 279443013
{'hecke_orbit_code': 270215977675790912, 'n': 14, 'trace_an': 0}
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id: 279443014
{'hecke_orbit_code': 270215977675790912, 'n': 15, 'trace_an': 1}
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id: 279443015
{'hecke_orbit_code': 270215977675790912, 'n': 16, 'trace_an': 0}
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id: 279443016
{'hecke_orbit_code': 270215977675790912, 'n': 17, 'trace_an': -2}
-
id: 279443017
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