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mf_newforms • Show schema
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{'Nk2': 1040, 'analytic_conductor': 2.07611045255329, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 260, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 33, 'char_orbit_label': 'bg', 'char_order': 12, 'char_parity': 1, 'char_values': [260, 12, [131, 157, 41], [6, 9, 10]], 'cm_discs': [-4], 'conrey_index': 23, 'conrey_indexes': [23, 43, 127, 147], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [17, [1, -4, 53, -14, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 2199056810244, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4], [1, 1, 65, 18, -1, 12, 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mf_hecke_cc • Show schema
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2199056810244, 'label': '260.2.bg.a.147.1', 'level': 260, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1040, 'analytic_conductor': 2.07611045255329, 'char_conductor': 260, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 33, 'char_orbit_label': 'bg', 'char_order': 12, 'char_parity': 1, 'char_values': [260, 12, [131, 157, 41], [6, 9, 10]], 'conrey_index': 23, 'cusp_dim': 152, 'dim': 152, 'eis_dim': 32, 'eis_new_dim': 32, 'hecke_cutter_primes': [3, 17], 'hecke_orbit_code': 2199056810244, 'hecke_orbit_dims': [4, 4, 144], 'label': '260.2.bg', 'level': 260, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'mf_dim': 184, 'mf_new_dim': 184, 'num_forms': 3, 'prim_orbit_index': 33, 'relative_dim': 38, 'sturm_bound': 84, 'trace_bound': 2, 'trace_display': [-6, 0, 0, 0], 'traces': [152, -6, 0, 0, 0, -12, 0, 0, 0, 6, 0, -12, -6, 0, 0, 4, -14, 0, 0, -30, 0, -12, 0, 0, -36, -32, 0, -6, 0, 0, 0, -36, -12, 0, 0, -52, 18, -16, 0, 68, -24, 40, 0, 0, -102, -12, 0, -40, 0, 78, 0, -50, -12, 0, 0, -20, 0, 66, 0, 0, -8, -44, 0, 0, -12, 96, 0, -44, 0, 0, 0, -54, 0, 0, 0, -12, 40, -100, 0, 24, 4, -58, 0, 0, -12, 0, 0, -10, 0, -20, 0, 100, -48, 0, 0, 0, -12, -162, 0, 46, 12, 24, 0, 0, 96, 48, 0, 2, 0, -66, 0, 0, -6, 0, 0, 56, -76, 168, 0, 28, 20, 0, 0, 0, 0, 64, 0, 162, 0, 86, 0, 186, -60, 0, 0, 108, -30, 0, 0, 30, -168, 136, 0, 0, -72, -108, 0, 0, 0, 126, 0, 46, 10, 0, 0, 172, -124, 60, 0, -24, 0, 126, 0, 0, 124, 116, 0, -12, 0, -284, 0, -82, 0, 0, 0, 48, 0, 88, 0, -312, -72, 212, 0, 0, -24, 156, 0, 12, 0, 0, 0, 146, 138, 0, 0, -304, -84, 8, 0, 0, -24, 102, 0, 0, 78, -60, 0, 90, 0, -126, 0, 110, 0, 0, 0, 0, -32, 8, 0, 8, 164, -400, 0, 0, 64, 0, 0, 162, 0, -72, 0, -108, 248, 0, 0, -240, -56, -8, 0, 60, 48, 0, 0, 0, -18, -432, 0, -352, 0, -44, 0, 0, 204, 0, 0, -76, 54, -408, 0, -112, -208, -240, 0, 0, 0, -168, 0, 0, 0, -138, 0, -204, 184, 0, 0, 144, 110, 0, 0, -162, 0, -88, 0, 0, 24, -192, 0, -210, 0, -20, 0, -162, -6, 0, 0, -80, 36, 36, 0, 424, 168, 160, 0, 0, 342, -216, 0, -62, 0, 318, 0, -306, -280, 0, 0, -212, 0, 12, 0, 0, -8, -176, 0, 0, -4, 336, 0, -20, 0, 0, 0, -120, 0, 0, 0, 300, -132, -116, 0, 120, -128, -136, 0, 0, -24, 0, 0, -18, 0, 160, 0, 508, 66, 0, 0, 0, 276, -156, 0, 152, -116, 198, 0, 0, -248, 324, 0, -64, 0, -12, 0, 0, -114, 0, 0, 296, 130, 512, 0, 26, -264, 0, 0, 0, 0, 68, 0, 426, 0, 326, 0, 390, 192, 0, 0, 132, 132, 0, 0, 34, 252, 336, 0, 0, 120, -108, 0, 0, 0, 420, 0, 128, -116, 0, 0, 420, 136, 252, 0, 44, 0, 60, 0, 0, -208, 280, 0, 204, 0, -412, 0, -292, -118, 0, 0, 108, 0, 188, 0, -204, 72, 322, 0, 0, 104, 112, 0, -78, 0, 0, 0, 148, -216, 0, 0, -864, 114, 24, 0, 0, -84, 516, 0, 0, -136, -240, 0, 274, 0, -294, 0, 214, 0, 0, 0, 0, 70, 116, 0, 4, -360, -556, 0, 0, -182, 0, 0, 504, 0, -230, 0, -402, -244, 0, 0, -672, 124, 72, 0, 0, 264, 0, 0, 0, -48, -128, 0, -468, 0, 84, 0, 0, -852, 0, 0, -168, -160, -228, 0, -400, 216, -702, 0, 0, 0, -12, 0, 0, 0, -102, 0, -404, -38, 0, 0, 260, -188, 0, 0, -330, 0, -264, 0, 0, -240, -488, 0, -276, 0, -48, 0, -438, -192, 0, 0, -272, 150, -448, 0, 628, -48, 218, 0, 0, -402, -396, 0, -198, 0, 510, 0, -568, 424, 0, 0, -216, 0, -132, 0, 0, -24, -452, 0, 0, -150, 1008, 0, 196, 0, 0, 0, -462, 0, 0, 0, 348, 232, -404, 0, 462, 96, -228, 0, 0, -192, 0, 0, -234, 0, 148, 0, 1196, -114, 0, 0, 0, -186, -108, 0, -34, -24, 360, 0, 0, 372, 672, 0, -110, 0, 120, 0, 0, 300, 0, 0, 888, -430, 656, 0, -148, 256, 0, 0, 0, 0, 296, 0, 408, 0, 124, 0, 558, -104, 0, 0, 288, -342, 0, 0, 166, 168, 320, 0, 0, -108, -144, 0, 0, 0, 120, 0, 290, 118, 0, 0, 496, 184, 324, 0, 216, 0, 144, 0, 0, 48, 420, 0, 152, 0, -724, 0, -198, 504, 0, 0, 708, 0, 48, 0, -414, -288, 804, 0, 0, -216, 252, 0, -66, 0, 0, 0, 338, -168, 0, 0, -784, -552, -140, 0, 0, 96, 306, 0, 0, 142, -588, 0, 234, 0, -264, 0, 226, 0, 0, 0, 0, 92, 278, 0, -564, 216, -976, 0, 0, 278, 0, 0, 186, 0, -290, 0, -624, 232, 0, 0, -600, 184, 204, 0, -270, -192, 0, 0, 0, 498, -352, 0, -748, 0, 42, 0, 0, 804, 0, 0, -500, 324, -270, 0, -550, 208, -564, 0, 0, 0, -48, 0, 0, 0, -180, 0, -552, 140, 0, 0, 236, 312, 0, 0, -534, 0, -262, 0, 0, 960, -856, 0, -300, 0, -238, 0, -18, 348, 0, 0, -320, -348, -572, 0, 400, 552, 168, 0, 0, 780, -816, 0, -280, 0, 144, 0, -462, -500, 0, 0, -56, 0, -24, 0, 0, -176, -214, 0, 0, 248, 1120, 0, 66, 0, 0, 0, -846, 0, 0, 0, 444, -396, -648, 0, 606, 160, -236, 0, 0, 378, 0, 0, -292, 0, 176, 0, 896, 144, 0, 0, 0, 162, -612, 0, 262, -160, 822, 0, 0, -648, 600, 0, -174, 0, 162, 0, 0, -48, 0, 0, 680, 684, 688, 0, -364, -236, 0, 0, 0, 0, 440, 0, 90, 0, 544, 0, 1020, 176, 0, 0, 312, -120, 0, 0, 368, -216, 572, 0, 0, 468, -248, 0, 0, 0, 228, 0, 400, 64, 0, 0, 564, -420, 516, 0, 194, 0, 204, 0, 0, -48, 228, 0, 240, 0, -804, 0, -62, -304, 0, 0, 432, 0, 232, 0, -438, -104, 836, 0, 0, 336, 632, 0, 342, 0, 0, 0, 504, -516, 0, 0, -1168, 750, -292, 0, 0, -672, 768, 0, 0, 2, -1128, 0, 570, 0, -492, 0, 200, 0, 0, 0, 0, 30, 424, 0, -252], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 23729249
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 147, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2199056810244, 'source_is_minimal': True, 'source_label': '260.2.bg.a.147.1', 'source_level': 260, 'target_conrey_index': 147, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2199056810244, 'target_is_minimal': True, 'target_label': '260.2.bg.a.147.1', 'target_level': 260, 'twist_class_label': '260.2.bg.a.23.1', 'twist_class_level': 260, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 23729250
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 147, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2199056810244, 'source_is_minimal': True, 'source_label': '260.2.bg.a.147.1', 'source_level': 260, 'target_conrey_index': 147, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2199056810244, 'target_is_minimal': True, 'target_label': '260.2.bg.a.147.1', 'target_level': 260, 'twist_class_label': '260.2.bg.a.23.1', 'twist_class_level': 260, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 23729251
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 147, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2199056810244, 'source_is_minimal': True, 'source_label': '260.2.bg.a.147.1', 'source_level': 260, 'target_conrey_index': 43, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505798684180740, 'target_is_minimal': True, 'target_label': '260.2.bg.b.43.1', 'target_level': 260, 'twist_class_label': '260.2.bg.a.23.1', 'twist_class_level': 260, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 23729252
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 147, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2199056810244, 'source_is_minimal': True, 'source_label': '260.2.bg.a.147.1', 'source_level': 260, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505798684180740, 'target_is_minimal': True, 'target_label': '260.2.bg.b.127.1', 'target_level': 260, 'twist_class_label': '260.2.bg.a.23.1', 'twist_class_level': 260, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 23729253
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 147, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2199056810244, 'source_is_minimal': True, 'source_label': '260.2.bg.a.147.1', 'source_level': 260, 'target_conrey_index': 43, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505798684180740, 'target_is_minimal': True, 'target_label': '260.2.bg.b.43.1', 'target_level': 260, 'twist_class_label': '260.2.bg.a.23.1', 'twist_class_level': 260, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 23729254
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 147, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2199056810244, 'source_is_minimal': True, 'source_label': '260.2.bg.a.147.1', 'source_level': 260, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505798684180740, 'target_is_minimal': True, 'target_label': '260.2.bg.b.127.1', 'target_level': 260, 'twist_class_label': '260.2.bg.a.23.1', 'twist_class_level': 260, 'twisting_char_label': '52.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 23729255
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 147, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2199056810244, 'source_is_minimal': True, 'source_label': '260.2.bg.a.147.1', 'source_level': 260, 'target_conrey_index': 23, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2199056810244, 'target_is_minimal': True, 'target_label': '260.2.bg.a.23.1', 'target_level': 260, 'twist_class_label': '260.2.bg.a.23.1', 'twist_class_level': 260, 'twisting_char_label': '65.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 23729256
{'conductor': 260, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 147, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2199056810244, 'source_is_minimal': True, 'source_label': '260.2.bg.a.147.1', 'source_level': 260, 'target_conrey_index': 23, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2199056810244, 'target_is_minimal': True, 'target_label': '260.2.bg.a.23.1', 'target_level': 260, 'twist_class_label': '260.2.bg.a.23.1', 'twist_class_level': 260, 'twisting_char_label': '260.23', 'twisting_conrey_index': 23, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 605100
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 1]], 'hecke_orbit_code': 2199056810244, 'p': 2}
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id: 605101
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 2199056810244, 'p': 3}
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id: 605102
{'charpoly_factorization': [[[25, -20, 11, -4, 1], 1]], 'hecke_orbit_code': 2199056810244, 'p': 5}
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id: 605103
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 2199056810244, 'p': 7}
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id: 605104
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 2199056810244, 'p': 11}
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id: 605105
{'charpoly_factorization': [[[169, 52, 3, 4, 1], 1]], 'hecke_orbit_code': 2199056810244, 'p': 13}
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id: 605106
{'charpoly_factorization': [[[1, -4, 53, -14, 1], 1]], 'hecke_orbit_code': 2199056810244, 'p': 17}
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id: 605107
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 2199056810244, 'p': 19}
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id: 605108
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 2199056810244, 'p': 23}
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id: 605109
{'charpoly_factorization': [[[5041, -2130, 371, -30, 1], 1]], 'hecke_orbit_code': 2199056810244, 'p': 29}
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id: 605110
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 2199056810244, 'p': 31}
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id: 605111
{'charpoly_factorization': [[[169, 286, 137, 8, 1], 1]], 'hecke_orbit_code': 2199056810244, 'p': 37}
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id: 605112
{'charpoly_factorization': [[[529, -552, 215, -24, 1], 1]], 'hecke_orbit_code': 2199056810244, 'p': 41}
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id: 605113
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 2199056810244, 'p': 43}
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id: 605114
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 2199056810244, 'p': 47}
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id: 605115
{'charpoly_factorization': [[[11881, -1090, 50, 10, 1], 1]], 'hecke_orbit_code': 2199056810244, 'p': 53}
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id: 605116
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 2199056810244, 'p': 59}
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id: 605117
{'charpoly_factorization': [[[1521, -468, 183, 12, 1], 1]], 'hecke_orbit_code': 2199056810244, 'p': 61}
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id: 605118
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 2199056810244, 'p': 67}
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id: 605119
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 2199056810244, 'p': 71}
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id: 605120
{'charpoly_factorization': [[[529, 506, 242, 22, 1], 1]], 'hecke_orbit_code': 2199056810244, 'p': 73}
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id: 605121
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 2199056810244, 'p': 79}
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id: 605122
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 2199056810244, 'p': 83}
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id: 605123
{'charpoly_factorization': [[[100, 10, 1], 2]], 'hecke_orbit_code': 2199056810244, 'p': 89}
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id: 605124
{'charpoly_factorization': [[[114244, 8788, 338, 26, 1], 1]], 'hecke_orbit_code': 2199056810244, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 33, 'hecke_orbit': 1, 'label': '260.2.bg.a', 'level': 260, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 54981000
{'hecke_orbit_code': 2199056810244, 'n': 1, 'trace_an': 4}
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id: 54981001
{'hecke_orbit_code': 2199056810244, 'n': 2, 'trace_an': -2}
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id: 54981002
{'hecke_orbit_code': 2199056810244, 'n': 3, 'trace_an': 0}
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id: 54981003
{'hecke_orbit_code': 2199056810244, 'n': 4, 'trace_an': 0}
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id: 54981004
{'hecke_orbit_code': 2199056810244, 'n': 5, 'trace_an': 4}
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id: 54981005
{'hecke_orbit_code': 2199056810244, 'n': 6, 'trace_an': 0}
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id: 54981006
{'hecke_orbit_code': 2199056810244, 'n': 7, 'trace_an': 0}
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id: 54981007
{'hecke_orbit_code': 2199056810244, 'n': 8, 'trace_an': -8}
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id: 54981008
{'hecke_orbit_code': 2199056810244, 'n': 9, 'trace_an': 0}
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id: 54981009
{'hecke_orbit_code': 2199056810244, 'n': 10, 'trace_an': -12}
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id: 54981010
{'hecke_orbit_code': 2199056810244, 'n': 11, 'trace_an': 0}
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id: 54981011
{'hecke_orbit_code': 2199056810244, 'n': 12, 'trace_an': 0}
-
id: 54981012
{'hecke_orbit_code': 2199056810244, 'n': 13, 'trace_an': -4}
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