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{'Nk2': 28416, 'analytic_conductor': 56.72572559591759, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [37, -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': [7104, 1, [3775, 6661, 2369, 3073], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -1, 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, [-8, -10, 0, 1]], [7, [4, -8, -1, 1]], [11, [8, 8, -7, 1]], [19, [16, -8, -7, 1]], [23, [58, 50, 13, 1]]], 'hecke_orbit': 50, 'hecke_orbit_code': 220676381774715840, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7104.2.a.bx', 'level': 7104, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 37], 'level_radical': 222, 'minimal_twist': '888.2.a.j', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(-\\beta _{1}-\\beta _{2})q^{5}-\\beta _{2}q^{7}+q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7104.2.a', 'trace_display': [0, 3, 0, 1], 'trace_hash': 1707195343462801035, 'trace_moments': [{'__RealLiteral__': 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mf_newspaces • Show schema
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{'ALdims': [17, 19, 21, 15, 19, 17, 15, 21], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [124, 137, 137, 127, 131, 133, 133, 127], 'Nk2': 28416, 'analytic_conductor': 56.72572559591759, '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': [7104, 1, [3775, 6661, 2369, 3073], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1193, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 19, 23], 'hecke_orbit_code': 33561536, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 7, 7], 'label': '7104.2.a', 'level': 7104, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 37], 'level_radical': 222, 'mf_dim': 1240, 'mf_new_dim': 144, 'num_forms': 64, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 144, 'sturm_bound': 2432, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [144, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 144, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 144, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, -192, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, 144, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 224, 0, 0, 0, 144, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, -224, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -128, 0, 0, 0, 64, 0, 0, 0, 80, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 192, 0, 0, 0, -192, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, -128, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, -160, 0, 0, 0, 32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 256, 0, 0, 0, 96, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -192, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -192, 0, 0, 0, 144, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 128, 0, 0, 0, -160, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -192, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 32, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 576, 0, 0, 0, -128, 0, 0, 0, 288, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -192, 0, 0, 0, 32, 0, 0, 0, 288, 0, 0, 0, -224, 0, 0, 0, 128, 0, 0, 0, -224, 0, 0, 0, -192, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, -256, 0, 0, 0, -96, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, -96, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, -112, 0, 0, 0, 192, 0, 0, 0, -192, 0, 0, 0, -128, 0, 0, 0, 256, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, -384, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49036457
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774715840, 'source_is_minimal': False, 'source_label': '7104.2.a.bx.1.3', 'source_level': 7104, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 220676381774715840, 'target_is_minimal': False, 'target_label': '7104.2.a.bx.1.3', 'target_level': 7104, 'twist_class_label': '888.2.a.j.1.1', 'twist_class_level': 888, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49036458
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774715840, 'source_is_minimal': False, 'source_label': '7104.2.a.bx.1.3', 'source_level': 7104, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 193654784010492864, 'target_is_minimal': False, 'target_label': '7104.2.a.br.1.3', 'target_level': 7104, 'twist_class_label': '888.2.a.j.1.1', 'twist_class_level': 888, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49036459
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774715840, 'source_is_minimal': False, 'source_label': '7104.2.a.bx.1.3', 'source_level': 7104, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889784, 'target_is_minimal': True, 'target_label': '888.2.a.j.1.1', 'target_level': 888, 'twist_class_label': '888.2.a.j.1.1', 'twist_class_level': 888, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49036460
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774715840, 'source_is_minimal': False, 'source_label': '7104.2.a.bx.1.3', 'source_level': 7104, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698854640, 'target_is_minimal': False, 'target_label': '1776.2.a.r.1.1', 'target_level': 1776, 'twist_class_label': '888.2.a.j.1.1', 'twist_class_level': 888, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49036461
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774715840, 'source_is_minimal': False, 'source_label': '7104.2.a.bx.1.3', 'source_level': 7104, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 171136785873638608, 'target_is_minimal': False, 'target_label': '5328.2.a.bm.1.3', 'target_level': 5328, 'twist_class_label': '888.2.a.j.1.1', 'twist_class_level': 888, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49036462
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 220676381774715840, 'source_is_minimal': False, 'source_label': '7104.2.a.bx.1.3', 'source_level': 7104, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050394816744040, 'target_is_minimal': False, 'target_label': '2664.2.a.o.1.3', 'target_level': 2664, 'twist_class_label': '888.2.a.j.1.1', 'twist_class_level': 888, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4380250
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 220676381774715840, 'p': 2}
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id: 4380251
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 220676381774715840, 'p': 3}
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id: 4380252
{'charpoly_factorization': [[[-8, -10, 0, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 5}
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id: 4380253
{'charpoly_factorization': [[[4, -8, -1, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 7}
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id: 4380254
{'charpoly_factorization': [[[8, 8, -7, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 11}
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id: 4380255
{'charpoly_factorization': [[[-4, -8, 1, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 13}
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id: 4380256
{'charpoly_factorization': [[[166, -54, -3, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 17}
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id: 4380257
{'charpoly_factorization': [[[16, -8, -7, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 19}
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id: 4380258
{'charpoly_factorization': [[[58, 50, 13, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 23}
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id: 4380259
{'charpoly_factorization': [[[8, -10, 0, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 29}
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id: 4380260
{'charpoly_factorization': [[[-16, -24, -2, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 31}
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id: 4380261
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 220676381774715840, 'p': 37}
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id: 4380262
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 220676381774715840, 'p': 41}
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id: 4380263
{'charpoly_factorization': [[[352, -72, -4, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 43}
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id: 4380264
{'charpoly_factorization': [[[-512, -64, 10, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 47}
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id: 4380265
{'charpoly_factorization': [[[-212, -120, 5, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 53}
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id: 4380266
{'charpoly_factorization': [[[-200, 210, -28, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 59}
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id: 4380267
{'charpoly_factorization': [[[-6, 1], 3]], 'hecke_orbit_code': 220676381774715840, 'p': 61}
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id: 4380268
{'charpoly_factorization': [[[-200, -76, -2, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 67}
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id: 4380269
{'charpoly_factorization': [[[-512, -160, 0, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 71}
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id: 4380270
{'charpoly_factorization': [[[-976, -88, 11, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 73}
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id: 4380271
{'charpoly_factorization': [[[-160, -96, -2, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 79}
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id: 4380272
{'charpoly_factorization': [[[328, -104, -7, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 83}
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id: 4380273
{'charpoly_factorization': [[[-794, -126, 5, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 89}
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id: 4380274
{'charpoly_factorization': [[[-1208, -204, 2, 1], 1]], 'hecke_orbit_code': 220676381774715840, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 50, 'label': '7104.2.a.bx', 'level': 7104, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71528929
{'hecke_orbit_code': 220676381774715840, 'n': 1, 'trace_an': 3}
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id: 71528930
{'hecke_orbit_code': 220676381774715840, 'n': 2, 'trace_an': 0}
-
id: 71528931
{'hecke_orbit_code': 220676381774715840, 'n': 3, 'trace_an': 3}
-
id: 71528932
{'hecke_orbit_code': 220676381774715840, 'n': 4, 'trace_an': 0}
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id: 71528933
{'hecke_orbit_code': 220676381774715840, 'n': 5, 'trace_an': 0}
-
id: 71528934
{'hecke_orbit_code': 220676381774715840, 'n': 6, 'trace_an': 0}
-
id: 71528935
{'hecke_orbit_code': 220676381774715840, 'n': 7, 'trace_an': 1}
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id: 71528936
{'hecke_orbit_code': 220676381774715840, 'n': 8, 'trace_an': 0}
-
id: 71528937
{'hecke_orbit_code': 220676381774715840, 'n': 9, 'trace_an': 3}
-
id: 71528938
{'hecke_orbit_code': 220676381774715840, 'n': 10, 'trace_an': 0}
-
id: 71528939
{'hecke_orbit_code': 220676381774715840, 'n': 11, 'trace_an': 7}
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id: 71528940
{'hecke_orbit_code': 220676381774715840, 'n': 12, 'trace_an': 0}
-
id: 71528941
{'hecke_orbit_code': 220676381774715840, 'n': 13, 'trace_an': -1}
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id: 71528942
{'hecke_orbit_code': 220676381774715840, 'n': 14, 'trace_an': 0}
-
id: 71528943
{'hecke_orbit_code': 220676381774715840, 'n': 15, 'trace_an': 0}
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id: 71528944
{'hecke_orbit_code': 220676381774715840, 'n': 16, 'trace_an': 0}
-
id: 71528945
{'hecke_orbit_code': 220676381774715840, 'n': 17, 'trace_an': 3}
-
id: 71528946
{'hecke_orbit_code': 220676381774715840, 'n': 18, 'trace_an': 0}
-
id: 71528947
{'hecke_orbit_code': 220676381774715840, 'n': 19, 'trace_an': 7}
-
id: 71528948
{'hecke_orbit_code': 220676381774715840, 'n': 20, 'trace_an': 0}
-
id: 71528949
{'hecke_orbit_code': 220676381774715840, 'n': 21, 'trace_an': 1}
-
id: 71528950
{'hecke_orbit_code': 220676381774715840, 'n': 22, 'trace_an': 0}
-
id: 71528951
{'hecke_orbit_code': 220676381774715840, 'n': 23, 'trace_an': -13}
-
id: 71528952
{'hecke_orbit_code': 220676381774715840, 'n': 24, 'trace_an': 0}
-
id: 71528953
{'hecke_orbit_code': 220676381774715840, 'n': 25, 'trace_an': 5}
-
id: 71528954
{'hecke_orbit_code': 220676381774715840, 'n': 26, 'trace_an': 0}
-
id: 71528955
{'hecke_orbit_code': 220676381774715840, 'n': 27, 'trace_an': 3}
-
id: 71528956
{'hecke_orbit_code': 220676381774715840, 'n': 28, 'trace_an': 0}
-
id: 71528957
{'hecke_orbit_code': 220676381774715840, 'n': 29, 'trace_an': 0}
-
id: 71528958
{'hecke_orbit_code': 220676381774715840, 'n': 30, 'trace_an': 0}
-
id: 71528959
{'hecke_orbit_code': 220676381774715840, 'n': 31, 'trace_an': 2}
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id: 71528960
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id: 71529158
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id: 71529161
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id: 71529162
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id: 71529163
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id: 71529166
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id: 71529170
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id: 71529171
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id: 71529172
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id: 71529173
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id: 71529174
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id: 71529175
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id: 71529177
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id: 71529179
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id: 71529180
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id: 71529181
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id: 71529183
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id: 71529184
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id: 71529185
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id: 71529186
{'hecke_orbit_code': 220676381774715840, 'n': 997, 'trace_an': -19}