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{'Nk2': 18240, 'analytic_conductor': 36.41178332170386, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [19, -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': [4560, 1, [1711, 1141, 3041, 2737, 1921], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 28, 'field_disc_factorization': [[2, 2], [7, 1]], 'field_poly': [-7, 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, [-6, -2, 1]], [11, [2, 6, 1]], [13, [2, 6, 1]], [17, [4, 1]]], 'hecke_orbit': 41, 'hecke_orbit_code': 180143985128378832, 'hecke_ring_generator_nbound': 7, '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': '4560.2.a.bo', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '285.2.a.d', 'nf_label': '2.2.28.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}+(1+\\beta )q^{7}+q^{9}+(-3+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4560.2.a', 'trace_display': [0, 2, 2, 2], 'trace_hash': 87650843003299278, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.948', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.569', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '66.102', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, -6, 0, -6, 0, 2, 0, -8, 0, 2, 0, 2, 0, -8, 0, 2, 0, 2, 0, 2, 0, -12, 0, -6, 0, 2, 0, 2, 0, -6, 0, -14, 0, -6, 0, 2, 0, -8, 0, 2, 0, -8, 0, 12, 0, -6, 0, 2, 0, -12, 0, -12, 0, 2, 0, -6, 0, -8, 0, -8, 0, -4, 0, 20, 0, 2, 0, -20, 0, 8, 0, 2, 0, -12, 0, -8, 0, 2, 0, -18, 0, -20, 0, -12, 0, 2, 0, 10, 0, -6, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -8, 0, -8, 0, -6, 0, -8, 0, 10, 0, -14, 0, 2, 0, -8, 0, -6, 0, 2, 0, 2, 0, 2, 0, 12, 0, -4, 0, -8, 0, 32, 0, 2, 0, 2, 0, -20, 0, -4, 0, -8, 0, -12, 0, -16, 0, 12, 0, 20, 0, 10, 0, -6, 0, 32, 0, 6, 0, 2, 0, 0, 0, 2, 0, -12, 0, 4, 0, 24, 0, -12, 0, 2, 0, 24, 0, 2, 0, 14, 0, -18, 0, -6, 0, -8, 0, -4, 0, -8, 0, -40, 0, -14, 0, -8, 0, -6, 0, 16, 0, -4, 0, -6, 0, -12, 0, 20, 0, 24, 0, 16, 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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [19, -1]], 4, 3], [[[2, -1], [3, 1], [5, 1], [19, 1]], 5, 5], [[[2, 1], [3, 1], [5, -1], [19, -1]], 3, 3], [[[2, 1], [3, -1], [5, -1], [19, 1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [19, 1]], 6, 3], [[[2, -1], [3, 1], [5, -1], [19, 1]], 3, 2], [[[2, 1], [3, 1], [5, 1], [19, 1]], 4, 3], [[[2, -1], [3, 1], [5, -1], [19, -1]], 6, 4], [[[2, 1], [3, 1], [5, 1], [19, -1]], 5, 2], [[[2, 1], [3, -1], [5, -1], [19, -1]], 6, 3], [[[2, 1], [3, -1], [5, 1], [19, -1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [19, -1]], 5, 4], [[[2, 1], [3, -1], [5, 1], [19, 1]], 5, 2], [[[2, -1], [3, -1], [5, -1], [19, 1]], 6, 4], [[[2, -1], [3, -1], [5, 1], [19, 1]], 4, 3]], 'ALdims': [4, 5, 6, 3, 5, 4, 3, 6, 5, 4, 3, 6, 4, 5, 6, 3], 'Nk2': 18240, 'analytic_conductor': 36.41178332170386, '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': [4560, 1, [1711, 1141, 3041, 2737, 1921], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 72, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33558992, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3], 'label': '4560.2.a', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 984, 'mf_new_dim': 72, 'num_forms': 48, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [0, 0, 0, -8], 'traces': [72, 0, 0, 0, 0, 0, -8, 0, 72, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 72, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 8, 0, 0, 0, 48, 0, 72, 0, 0, 0, 32, 0, -16, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, 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0, 16, 0, 64, 0, 32, 0, -160, 0, -80, 0, -64, 0, 352, 0, 736, 0, -48, 0, -160, 0, -160, 0, 32, 0, 80, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48935764
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128378832, 'source_is_minimal': False, 'source_label': '4560.2.a.bo.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985128378832, 'target_is_minimal': False, 'target_label': '4560.2.a.bo.1.1', 'target_level': 4560, 'twist_class_label': '285.2.a.d.1.1', 'twist_class_level': 285, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48935765
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128378832, 'source_is_minimal': False, 'source_label': '4560.2.a.bo.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666205, 'target_is_minimal': True, 'target_label': '285.2.a.d.1.1', 'target_level': 285, 'twist_class_label': '285.2.a.d.1.1', 'twist_class_level': 285, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48935766
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128378832, 'source_is_minimal': False, 'source_label': '4560.2.a.bo.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797778263, 'target_is_minimal': False, 'target_label': '855.2.a.g.1.2', 'target_level': 855, 'twist_class_label': '285.2.a.d.1.1', 'twist_class_level': 285, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48935767
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128378832, 'source_is_minimal': False, 'source_label': '4560.2.a.bo.1.1', 'source_level': 4560, 'target_conrey_index': 799, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028934491473297, 'target_is_minimal': False, 'target_label': '1425.2.c.i.799.3', 'target_level': 1425, 'twist_class_label': '285.2.a.d.1.1', 'twist_class_level': 285, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48935768
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128378832, 'source_is_minimal': False, 'source_label': '4560.2.a.bo.1.1', 'source_level': 4560, 'target_conrey_index': 799, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028934491473297, 'target_is_minimal': False, 'target_label': '1425.2.c.i.799.2', 'target_level': 1425, 'twist_class_label': '285.2.a.d.1.1', 'twist_class_level': 285, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48935769
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128378832, 'source_is_minimal': False, 'source_label': '4560.2.a.bo.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444113297, 'target_is_minimal': False, 'target_label': '1425.2.a.p.1.2', 'target_level': 1425, 'twist_class_label': '285.2.a.d.1.1', 'twist_class_level': 285, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48935770
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128378832, 'source_is_minimal': False, 'source_label': '4560.2.a.bo.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580968627, 'target_is_minimal': False, 'target_label': '4275.2.a.u.1.1', 'target_level': 4275, 'twist_class_label': '285.2.a.d.1.1', 'twist_class_level': 285, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 48935771
{'conductor': 76, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128378832, 'source_is_minimal': False, 'source_label': '4560.2.a.bo.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793326228775, 'target_is_minimal': False, 'target_label': '5415.2.a.s.1.2', 'target_level': 5415, 'twist_class_label': '285.2.a.d.1.1', 'twist_class_level': 285, 'twisting_char_label': '76.75', 'twisting_conrey_index': 75, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3634000
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 180143985128378832, 'p': 2}
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id: 3634001
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 180143985128378832, 'p': 3}
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id: 3634002
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 180143985128378832, 'p': 5}
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id: 3634003
{'charpoly_factorization': [[[-6, -2, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 7}
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id: 3634004
{'charpoly_factorization': [[[2, 6, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 11}
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id: 3634005
{'charpoly_factorization': [[[2, 6, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 13}
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id: 3634006
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 180143985128378832, 'p': 17}
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id: 3634007
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 180143985128378832, 'p': 19}
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id: 3634008
{'charpoly_factorization': [[[-12, 8, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 23}
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id: 3634009
{'charpoly_factorization': [[[-62, -2, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 29}
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id: 3634010
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 180143985128378832, 'p': 31}
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id: 3634011
{'charpoly_factorization': [[[-6, -2, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 37}
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id: 3634012
{'charpoly_factorization': [[[42, 14, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 41}
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id: 3634013
{'charpoly_factorization': [[[2, 6, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 43}
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id: 3634014
{'charpoly_factorization': [[[-12, 8, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 47}
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id: 3634015
{'charpoly_factorization': [[[8, -12, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 53}
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id: 3634016
{'charpoly_factorization': [[[8, 12, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 59}
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id: 3634017
{'charpoly_factorization': [[[8, 12, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 61}
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id: 3634018
{'charpoly_factorization': [[[-96, 8, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 67}
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id: 3634019
{'charpoly_factorization': [[[-24, 4, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 71}
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id: 3634020
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 180143985128378832, 'p': 73}
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id: 3634021
{'charpoly_factorization': [[[-96, -8, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 79}
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id: 3634022
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 180143985128378832, 'p': 83}
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id: 3634023
{'charpoly_factorization': [[[18, 18, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 89}
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id: 3634024
{'charpoly_factorization': [[[-38, -10, 1], 1]], 'hecke_orbit_code': 180143985128378832, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 41, 'label': '4560.2.a.bo', 'level': 4560, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 273469000
{'hecke_orbit_code': 180143985128378832, 'n': 1, 'trace_an': 2}
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id: 273469001
{'hecke_orbit_code': 180143985128378832, 'n': 2, 'trace_an': 0}
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id: 273469002
{'hecke_orbit_code': 180143985128378832, 'n': 3, 'trace_an': 2}
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id: 273469003
{'hecke_orbit_code': 180143985128378832, 'n': 4, 'trace_an': 0}
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id: 273469004
{'hecke_orbit_code': 180143985128378832, 'n': 5, 'trace_an': 2}
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id: 273469005
{'hecke_orbit_code': 180143985128378832, 'n': 6, 'trace_an': 0}
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id: 273469006
{'hecke_orbit_code': 180143985128378832, 'n': 7, 'trace_an': 2}
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id: 273469007
{'hecke_orbit_code': 180143985128378832, 'n': 8, 'trace_an': 0}
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id: 273469008
{'hecke_orbit_code': 180143985128378832, 'n': 9, 'trace_an': 2}
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id: 273469009
{'hecke_orbit_code': 180143985128378832, 'n': 10, 'trace_an': 0}
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id: 273469010
{'hecke_orbit_code': 180143985128378832, 'n': 11, 'trace_an': -6}
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id: 273469011
{'hecke_orbit_code': 180143985128378832, 'n': 12, 'trace_an': 0}
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id: 273469012
{'hecke_orbit_code': 180143985128378832, 'n': 13, 'trace_an': -6}
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id: 273469013
{'hecke_orbit_code': 180143985128378832, 'n': 14, 'trace_an': 0}
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id: 273469014
{'hecke_orbit_code': 180143985128378832, 'n': 15, 'trace_an': 2}
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id: 273469015
{'hecke_orbit_code': 180143985128378832, 'n': 16, 'trace_an': 0}
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id: 273469016
{'hecke_orbit_code': 180143985128378832, 'n': 17, 'trace_an': -8}
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id: 273469017
{'hecke_orbit_code': 180143985128378832, 'n': 18, 'trace_an': 0}
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id: 273469018
{'hecke_orbit_code': 180143985128378832, 'n': 19, 'trace_an': 2}
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id: 273469019
{'hecke_orbit_code': 180143985128378832, 'n': 20, 'trace_an': 0}
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id: 273469020
{'hecke_orbit_code': 180143985128378832, 'n': 21, 'trace_an': 2}
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