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mf_newforms • Show schema
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{'Nk2': 18400, 'analytic_conductor': 36.731184929788974, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [4600, 2, [1151, 2301, 2577, 1201], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 4049, 'dim': 4, 'field_disc': 400, 'field_disc_factorization': [[2, 4], [5, 2]], 'field_poly': [1, 0, 3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [16, 0, 12, 0, 1]], [7, [1, 0, 18, 0, 1]], [11, [-1, 1]], [13, [5, 0, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539870812541432, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4600.2.e.l', 'level': 4600, '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, 5, 23], 'level_radical': 230, 'minimal_twist': '4600.2.a.q', 'nf_label': '4.0.400.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(-\\beta _{1}+\\beta _{2})q^{3}+(-2\\beta _{1}+\\beta _{2})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4600.2.e', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1216173288783079242, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 18400, 'analytic_conductor': 36.731184929788974, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [4600, 2, [1151, 2301, 2577, 1201], [2, 2, 1, 2]], 'conrey_index': 4049, 'cusp_dim': 696, 'dim': 100, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 274911465976, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 8, 10, 10, 10], 'label': '4600.2.e', 'level': 4600, '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, 5, 23], 'level_radical': 230, 'mf_dim': 744, 'mf_new_dim': 100, 'num_forms': 23, 'prim_orbit_index': 2, 'relative_dim': 100, 'sturm_bound': 1440, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [100, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 8, 0, 0, 0, 0, 0, 0, 0, -48, 0, 20, 0, 0, 0, 0, 0, 0, 0, -84, 0, 84, 0, 0, 0, 0, 0, 0, 0, 24, 0, -20, 0, 0, 0, 0, 0, 0, 0, -8, 0, 40, 0, 0, 0, 0, 0, 0, 0, 8, 0, 116, 0, 0, 0, 0, 0, 0, 0, 12, 0, -24, 0, 0, 0, 0, 0, 0, 0, -60, 0, -16, 0, 0, 0, 0, 0, 0, 0, 52, 0, -72, 0, 0, 0, 0, 0, 0, 0, 8, 0, 40, 0, 0, 0, 0, 0, 0, 0, 48, 0, -24, 0, 0, 0, 0, 0, 0, 0, 60, 0, -8, 0, 0, 0, 0, 0, 0, 0, -20, 0, 48, 0, 0, 0, 0, 0, 0, 0, 80, 0, 16, 0, 0, 0, 0, 0, 0, 0, -44, 0, 28, 0, 0, 0, 0, 0, 0, 0, 4, 0, -28, 0, 0, 0, 0, 0, 0, 0, 112, 0, -80, 0, 0, 0, 0, 0, 0, 0, -72, 0, -76, 0, 0, 0, 0, 0, 0, 0, 20, 0, -20, 0, 0, 0, 0, 0, 0, 0, 140, 0, -64, 0, 0, 0, 0, 0, 0, 0, 4, 0, -112, 0, 0, 0, 0, 0, 0, 0, 144, 0, -20, 0, 0, 0, 0, 0, 0, 0, 156, 0, -24, 0, 0, 0, 0, 0, 0, 0, -16, 0, 64, 0, 0, 0, 0, 0, 0, 0, -8, 0, 56, 0, 0, 0, 0, 0, 0, 0, 112, 0, -32, 0, 0, 0, 0, 0, 0, 0, -144, 0, 48, 0, 0, 0, 0, 0, 0, 0, 48, 0, -184, 0, 0, 0, 0, 0, 0, 0, -8, 0, -104, 0, 0, 0, 0, 0, 0, 0, -176, 0, -188, 0, 0, 0, 0, 0, 0, 0, 96, 0, 20, 0, 0, 0, 0, 0, 0, 0, 68, 0, -80, 0, 0, 0, 0, 0, 0, 0, 120, 0, 192, 0, 0, 0, 0, 0, 0, 0, 32, 0, 184, 0, 0, 0, 0, 0, 0, 0, -56, 0, -16, 0, 0, 0, 0, 0, 0, 0, -128, 0, -64, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, -44, 0, 0, 0, 0, 0, 0, 0, 100, 0, 300, 0, 0, 0, 0, 0, 0, 0, 8, 0, 84, 0, 0, 0, 0, 0, 0, 0, 96, 0, 56, 0, 0, 0, 0, 0, 0, 0, -56, 0, 88, 0, 0, 0, 0, 0, 0, 0, -180, 0, 52, 0, 0, 0, 0, 0, 0, 0, -324, 0, 8, 0, 0, 0, 0, 0, 0, 0, -264, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 52, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 40, 0, 0, 0, 0, 0, 0, 0, -32, 0, 160, 0, 0, 0, 0, 0, 0, 0, -144, 0, 52, 0, 0, 0, 0, 0, 0, 0, -100, 0, -152, 0, 0, 0, 0, 0, 0, 0, -24, 0, 152, 0, 0, 0, 0, 0, 0, 0, 300, 0, 120, 0, 0, 0, 0, 0, 0, 0, -56, 0, 148, 0, 0, 0, 0, 0, 0, 0, -92, 0, 220, 0, 0, 0, 0, 0, 0, 0, 84, 0, -96, 0, 0, 0, 0, 0, 0, 0, 40, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -196, 0, 0, 0, 0, 0, 0, 0, 136, 0, -272, 0, 0, 0, 0, 0, 0, 0, 68, 0, 32, 0, 0, 0, 0, 0, 0, 0, 200, 0, -320, 0, 0, 0, 0, 0, 0, 0, -192, 0, -56, 0, 0, 0, 0, 0, 0, 0, 216, 0, 200, 0, 0, 0, 0, 0, 0, 0, -128, 0, 148, 0, 0, 0, 0, 0, 0, 0, -80, 0, 112, 0, 0, 0, 0, 0, 0, 0, 408, 0, -88, 0, 0, 0, 0, 0, 0, 0, 56, 0, -276, 0, 0, 0, 0, 0, 0, 0, 192, 0, 12, 0, 0, 0, 0, 0, 0, 0, -52, 0, -120, 0, 0, 0, 0, 0, 0, 0, -248, 0, -192, 0, 0, 0, 0, 0, 0, 0, -644, 0, 56, 0, 0, 0, 0, 0, 0, 0, 88, 0, -48, 0, 0, 0, 0, 0, 0, 0, -72, 0, 128, 0, 0, 0, 0, 0, 0, 0, 40, 0, 188, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, -260, 0, 72, 0, 0, 0, 0, 0, 0, 0, 72, 0, -256, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 176, 0, 0, 0, 0, 0, 0, 0, -128, 0, 192, 0, 0, 0, 0, 0, 0, 0, -48, 0, -112, 0, 0, 0, 0, 0, 0, 0, 32, 0, -20, 0, 0, 0, 0, 0, 0, 0, -396, 0, -60, 0, 0, 0, 0, 0, 0, 0, -148, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -296, 0, -8, 0, 0, 0, 0, 0, 0, 0, 184, 0, -344, 0, 0, 0, 0, 0, 0, 0, 416, 0, -224, 0, 0, 0, 0, 0, 0, 0, -208, 0, -416, 0, 0, 0, 0, 0, 0, 0, -128, 0, 252, 0, 0, 0, 0, 0, 0, 0, -192, 0, 24, 0, 0, 0, 0, 0, 0, 0, 8, 0, -260, 0, 0, 0, 0, 0, 0, 0, 160, 0, 216, 0, 0, 0, 0, 0, 0, 0, 360, 0, -340, 0, 0, 0, 0, 0, 0, 0, -44, 0, 184, 0, 0, 0, 0, 0, 0, 0, -4, 0, -92, 0, 0, 0, 0, 0, 0, 0, -60, 0, 136, 0, 0, 0, 0, 0, 0, 0, 64, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1212914
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4600.2.e.l', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '4600.2.a.q', 'target_level': 4600, 'twist_class_label': '4600.2.a.q', 'twist_class_level': 4600, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1212915
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4600.2.e.l', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '4600.2.a.u', 'target_level': 4600, 'twist_class_label': '4600.2.a.q', 'twist_class_level': 4600, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1212916
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4600.2.e.l', 'source_level': 4600, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4600.2.e.l', 'target_level': 4600, 'twist_class_label': '4600.2.a.q', 'twist_class_level': 4600, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1212917
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4600.2.e.l', 'source_level': 4600, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4600.2.e.l', 'target_level': 4600, 'twist_class_label': '4600.2.a.q', 'twist_class_level': 4600, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1212918
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4600.2.e.l', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '9200.2.a.bn', 'target_level': 9200, 'twist_class_label': '4600.2.a.q', 'twist_class_level': 4600, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1212919
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4600.2.e.l', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '9200.2.a.bz', 'target_level': 9200, 'twist_class_label': '4600.2.a.q', 'twist_class_level': 4600, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3647300
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539870812541432, 'p': 2}
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id: 3647301
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 49539870812541432, 'p': 3}
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id: 3647302
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539870812541432, 'p': 5}
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id: 3647303
{'charpoly_factorization': [[[1, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 49539870812541432, 'p': 7}
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id: 3647304
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 49539870812541432, 'p': 11}
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id: 3647305
{'charpoly_factorization': [[[5, 0, 1], 2]], 'hecke_orbit_code': 49539870812541432, 'p': 13}
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id: 3647306
{'charpoly_factorization': [[[256, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 49539870812541432, 'p': 17}
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id: 3647307
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 49539870812541432, 'p': 19}
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id: 3647308
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 49539870812541432, 'p': 23}
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id: 3647309
{'charpoly_factorization': [[[11, -8, 1], 2]], 'hecke_orbit_code': 49539870812541432, 'p': 29}
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id: 3647310
{'charpoly_factorization': [[[-4, 8, 1], 2]], 'hecke_orbit_code': 49539870812541432, 'p': 31}
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id: 3647311
{'charpoly_factorization': [[[5776, 0, 172, 0, 1], 1]], 'hecke_orbit_code': 49539870812541432, 'p': 37}
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id: 3647312
{'charpoly_factorization': [[[-71, -6, 1], 2]], 'hecke_orbit_code': 49539870812541432, 'p': 41}
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id: 3647313
{'charpoly_factorization': [[[841, 0, 138, 0, 1], 1]], 'hecke_orbit_code': 49539870812541432, 'p': 43}
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id: 3647314
{'charpoly_factorization': [[[400, 0, 140, 0, 1], 1]], 'hecke_orbit_code': 49539870812541432, 'p': 47}
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id: 3647315
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 49539870812541432, 'p': 53}
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id: 3647316
{'charpoly_factorization': [[[-4, 2, 1], 2]], 'hecke_orbit_code': 49539870812541432, 'p': 59}
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id: 3647317
{'charpoly_factorization': [[[20, 10, 1], 2]], 'hecke_orbit_code': 49539870812541432, 'p': 61}
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id: 3647318
{'charpoly_factorization': [[[4096, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 49539870812541432, 'p': 67}
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id: 3647319
{'charpoly_factorization': [[[-10, 1], 4]], 'hecke_orbit_code': 49539870812541432, 'p': 71}
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id: 3647320
{'charpoly_factorization': [[[25, 0, 90, 0, 1], 1]], 'hecke_orbit_code': 49539870812541432, 'p': 73}
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id: 3647321
{'charpoly_factorization': [[[-109, 8, 1], 2]], 'hecke_orbit_code': 49539870812541432, 'p': 79}
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id: 3647322
{'charpoly_factorization': [[[81, 0, 1], 2]], 'hecke_orbit_code': 49539870812541432, 'p': 83}
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id: 3647323
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 49539870812541432, 'p': 89}
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id: 3647324
{'charpoly_factorization': [[[10000, 0, 300, 0, 1], 1]], 'hecke_orbit_code': 49539870812541432, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 12, 'label': '4600.2.e.l', 'level': 4600, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 56887687
{'hecke_orbit_code': 49539870812541432, 'n': 1, 'trace_an': 4}
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id: 56887688
{'hecke_orbit_code': 49539870812541432, 'n': 2, 'trace_an': 0}
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id: 56887689
{'hecke_orbit_code': 49539870812541432, 'n': 3, 'trace_an': 0}
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id: 56887690
{'hecke_orbit_code': 49539870812541432, 'n': 4, 'trace_an': 0}
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id: 56887691
{'hecke_orbit_code': 49539870812541432, 'n': 5, 'trace_an': 0}
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id: 56887692
{'hecke_orbit_code': 49539870812541432, 'n': 6, 'trace_an': 0}
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id: 56887693
{'hecke_orbit_code': 49539870812541432, 'n': 7, 'trace_an': 0}
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id: 56887694
{'hecke_orbit_code': 49539870812541432, 'n': 8, 'trace_an': 0}
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id: 56887695
{'hecke_orbit_code': 49539870812541432, 'n': 9, 'trace_an': -12}
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id: 56887696
{'hecke_orbit_code': 49539870812541432, 'n': 10, 'trace_an': 0}
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id: 56887697
{'hecke_orbit_code': 49539870812541432, 'n': 11, 'trace_an': 4}
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id: 56887698
{'hecke_orbit_code': 49539870812541432, 'n': 12, 'trace_an': 0}
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