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{'Nk2': 18816, 'analytic_conductor': 37.561629110810294, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 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': [4704, 1, [1471, 1765, 3137, 4609], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2624, 'field_disc_factorization': [[2, 6], [41, 1]], 'field_poly': [1, 2, -3, -2, 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': [[5, [28, 24, -8, -4, 1]], [11, [16, 48, -20, -4, 1]], [13, [68, 80, -4, -8, 1]], [19, [64, 64, -8, -8, 1]], [31, [-64, -128, -40, 8, 1]]], 'hecke_orbit': 52, 'hecke_orbit_code': 229683581029454432, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': True, 'label': '4704.2.a.bz', 'level': 4704, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '4704.2.a.bw', 'nf_label': '4.4.2624.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(1+\\beta _{3})q^{5}+q^{9}+(1+\\beta _{2})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4704.2.a', 'trace_display': [0, 4, 4, 0], 'trace_hash': 1385848823556371165, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.046', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.894', 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'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.2283282159466353, 'hecke_orbit': 52, 'hecke_orbit_code': 229683581029454432, 'label': '4704.2.a.bz.1.2', 'level': 4704, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1]], 12, 9], [[[2, -1], [3, 1], [7, -1]], 9, 8], [[[2, -1], [3, -1], [7, 1]], 9, 5], [[[2, 1], [3, -1], [7, -1]], 9, 7], [[[2, 1], [3, -1], [7, 1]], 11, 5], [[[2, -1], [3, 1], [7, 1]], 11, 5], [[[2, 1], [3, 1], [7, -1]], 12, 8], [[[2, 1], [3, 1], [7, 1]], 9, 5]], 'ALdims': [9, 12, 11, 9, 11, 9, 9, 12], 'Nk2': 18816, 'analytic_conductor': 37.561629110810294, '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': [4704, 1, [1471, 1765, 3137, 4609], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 833, 'dim': 82, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 19, 31], 'hecke_orbit_code': 33559136, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '4704.2.a', 'level': 4704, 'level_is_prime': 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mf_twists_cc • Show schema
Hide schema
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id: 49048223
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 229683581029454432, 'source_is_minimal': True, 'source_label': '4704.2.a.bz.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 229683581029454432, 'target_is_minimal': True, 'target_label': '4704.2.a.bz.1.2', 'target_level': 4704, 'twist_class_label': '4704.2.a.bw.1.3', 'twist_class_level': 4704, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49048224
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 229683581029454432, 'source_is_minimal': True, 'source_label': '4704.2.a.bz.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 220676381774713440, 'target_is_minimal': True, 'target_label': '4704.2.a.bx.1.2', 'target_level': 4704, 'twist_class_label': '4704.2.a.bw.1.3', 'twist_class_level': 4704, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49048225
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 229683581029454432, 'source_is_minimal': True, 'source_label': '4704.2.a.bz.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 216172782147342944, 'target_is_minimal': True, 'target_label': '4704.2.a.bw.1.3', 'target_level': 4704, 'twist_class_label': '4704.2.a.bw.1.3', 'twist_class_level': 4704, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 49048226
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 229683581029454432, 'source_is_minimal': True, 'source_label': '4704.2.a.bz.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 522417556808541376, 'target_is_minimal': False, 'target_label': '9408.2.a.em.1.3', 'target_level': 9408, 'twist_class_label': '4704.2.a.bw.1.3', 'twist_class_level': 4704, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49048227
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 229683581029454432, 'source_is_minimal': True, 'source_label': '4704.2.a.bz.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 513410357553800384, 'target_is_minimal': False, 'target_label': '9408.2.a.ek.1.3', 'target_level': 9408, 'twist_class_label': '4704.2.a.bw.1.3', 'twist_class_level': 4704, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49048228
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 229683581029454432, 'source_is_minimal': True, 'source_label': '4704.2.a.bz.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 225179981402083936, 'target_is_minimal': True, 'target_label': '4704.2.a.by.1.3', 'target_level': 4704, 'twist_class_label': '4704.2.a.bw.1.3', 'twist_class_level': 4704, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 49048229
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 229683581029454432, 'source_is_minimal': True, 'source_label': '4704.2.a.bz.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 526921156435911872, 'target_is_minimal': False, 'target_label': '9408.2.a.en.1.2', 'target_level': 9408, 'twist_class_label': '4704.2.a.bw.1.3', 'twist_class_level': 4704, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 49048230
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 229683581029454432, 'source_is_minimal': True, 'source_label': '4704.2.a.bz.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 517913957181170880, 'target_is_minimal': False, 'target_label': '9408.2.a.el.1.2', 'target_level': 9408, 'twist_class_label': '4704.2.a.bw.1.3', 'twist_class_level': 4704, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3681875
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 229683581029454432, 'p': 2}
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id: 3681876
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 229683581029454432, 'p': 3}
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id: 3681877
{'charpoly_factorization': [[[28, 24, -8, -4, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 5}
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id: 3681878
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 229683581029454432, 'p': 7}
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id: 3681879
{'charpoly_factorization': [[[16, 48, -20, -4, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 11}
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id: 3681880
{'charpoly_factorization': [[[68, 80, -4, -8, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 13}
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id: 3681881
{'charpoly_factorization': [[[-100, 120, -24, -4, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 17}
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id: 3681882
{'charpoly_factorization': [[[64, 64, -8, -8, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 19}
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id: 3681883
{'charpoly_factorization': [[[-112, 48, 28, -12, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 23}
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id: 3681884
{'charpoly_factorization': [[[64, 128, -56, 0, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 29}
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id: 3681885
{'charpoly_factorization': [[[-64, -128, -40, 8, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 31}
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id: 3681886
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 229683581029454432, 'p': 37}
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id: 3681887
{'charpoly_factorization': [[[-4804, 920, 56, -20, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 41}
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id: 3681888
{'charpoly_factorization': [[[-256, -384, -48, 8, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 43}
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id: 3681889
{'charpoly_factorization': [[[-3008, -1024, -24, 16, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 47}
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id: 3681890
{'charpoly_factorization': [[[272, -128, -72, 0, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 53}
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id: 3681891
{'charpoly_factorization': [[[-1600, 960, -152, 0, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 59}
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id: 3681892
{'charpoly_factorization': [[[-412, 160, 44, -16, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 61}
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id: 3681893
{'charpoly_factorization': [[[-4352, -1664, -144, 8, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 67}
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id: 3681894
{'charpoly_factorization': [[[272, 176, -36, -12, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 71}
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id: 3681895
{'charpoly_factorization': [[[452, 144, -36, -8, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 73}
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id: 3681896
{'charpoly_factorization': [[[-1024, 1024, -32, -16, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 79}
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id: 3681897
{'charpoly_factorization': [[[1792, 256, -128, 0, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 83}
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id: 3681898
{'charpoly_factorization': [[[-4772, 712, 168, -28, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 89}
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id: 3681899
{'charpoly_factorization': [[[-1148, -1968, 508, -40, 1], 1]], 'hecke_orbit_code': 229683581029454432, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 52, 'label': '4704.2.a.bz', 'level': 4704, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 277689000
{'hecke_orbit_code': 229683581029454432, 'n': 1, 'trace_an': 4}
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id: 277689001
{'hecke_orbit_code': 229683581029454432, 'n': 2, 'trace_an': 0}
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id: 277689002
{'hecke_orbit_code': 229683581029454432, 'n': 3, 'trace_an': 4}
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id: 277689003
{'hecke_orbit_code': 229683581029454432, 'n': 4, 'trace_an': 0}
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id: 277689004
{'hecke_orbit_code': 229683581029454432, 'n': 5, 'trace_an': 4}
-
id: 277689005
{'hecke_orbit_code': 229683581029454432, 'n': 6, 'trace_an': 0}
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id: 277689006
{'hecke_orbit_code': 229683581029454432, 'n': 7, 'trace_an': 0}
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id: 277689007
{'hecke_orbit_code': 229683581029454432, 'n': 8, 'trace_an': 0}
-
id: 277689008
{'hecke_orbit_code': 229683581029454432, 'n': 9, 'trace_an': 4}
-
id: 277689009
{'hecke_orbit_code': 229683581029454432, 'n': 10, 'trace_an': 0}
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id: 277689010
{'hecke_orbit_code': 229683581029454432, 'n': 11, 'trace_an': 4}
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id: 277689011
{'hecke_orbit_code': 229683581029454432, 'n': 12, 'trace_an': 0}
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id: 277689012
{'hecke_orbit_code': 229683581029454432, 'n': 13, 'trace_an': 8}
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id: 277689013
{'hecke_orbit_code': 229683581029454432, 'n': 14, 'trace_an': 0}
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id: 277689014
{'hecke_orbit_code': 229683581029454432, 'n': 15, 'trace_an': 4}
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id: 277689015
{'hecke_orbit_code': 229683581029454432, 'n': 16, 'trace_an': 0}
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id: 277689016
{'hecke_orbit_code': 229683581029454432, 'n': 17, 'trace_an': 4}
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id: 277689017
{'hecke_orbit_code': 229683581029454432, 'n': 18, 'trace_an': 0}
-
id: 277689018
{'hecke_orbit_code': 229683581029454432, 'n': 19, 'trace_an': 8}
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id: 277689019
{'hecke_orbit_code': 229683581029454432, 'n': 20, 'trace_an': 0}
-
id: 277689020
{'hecke_orbit_code': 229683581029454432, 'n': 21, 'trace_an': 0}
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id: 277689021
{'hecke_orbit_code': 229683581029454432, 'n': 22, 'trace_an': 0}
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id: 277689022
{'hecke_orbit_code': 229683581029454432, 'n': 23, 'trace_an': 12}
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id: 277689023
{'hecke_orbit_code': 229683581029454432, 'n': 24, 'trace_an': 0}
-
id: 277689024
{'hecke_orbit_code': 229683581029454432, 'n': 25, 'trace_an': 12}
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id: 277689025
{'hecke_orbit_code': 229683581029454432, 'n': 26, 'trace_an': 0}
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id: 277689026
{'hecke_orbit_code': 229683581029454432, 'n': 27, 'trace_an': 4}
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id: 277689027
{'hecke_orbit_code': 229683581029454432, 'n': 28, 'trace_an': 0}
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id: 277689028
{'hecke_orbit_code': 229683581029454432, 'n': 29, 'trace_an': 0}
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id: 277689029
{'hecke_orbit_code': 229683581029454432, 'n': 30, 'trace_an': 0}
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id: 277689030
{'hecke_orbit_code': 229683581029454432, 'n': 31, 'trace_an': -8}
-
id: 277689031
{'hecke_orbit_code': 229683581029454432, 'n': 32, 'trace_an': 0}
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id: 277689032
{'hecke_orbit_code': 229683581029454432, 'n': 33, 'trace_an': 4}
-
id: 277689033
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