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mf_newforms • Show schema
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{'Nk2': 2664, 'analytic_conductor': 5.318036774617274, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 111, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 12, 'char_parity': 1, 'char_values': [666, 12, [371, 631], [6, 11]], 'cm_discs': [], 'conrey_index': 125, 'conrey_indexes': [125, 251, 341, 467], 'dim': 16, 'field_disc': 6040479020157644046336, 'field_disc_factorization': [[2, 32], [3, 8], [11, 8]], 'field_poly': [6561, 0, 0, 0, -567, 0, 0, 0, -32, 0, 0, 0, -7, 0, 0, 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': [[5, [256, 0, 0, 0, -656, 0, 0, 0, 1665, 0, 0, 0, -41, 0, 0, 0, 1]], [7, [4, 20, 98, 26, 43, 16, 17, 4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13512860499968666, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 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mf_hecke_cc • Show schema
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-0.3550832205806297, -0.42920525842638385, -0.3242688453903623, -0.4555884038144781, -0.272414498941159, -0.08101821378396004, -0.19351370434672105, -0.4823672993329778, 0.08612547369129692, -0.19428334516487633, -0.04533801505024631, -0.11598024875402715, -0.01604445130230289, -0.06348101535920889, 0.1985602203166407, -0.19521209299129508, -0.22901525447963464, -0.31657534544702964, -0.11858943396947902, -0.21579013936663183, -0.03164562102938893, -0.48868345609691904, 0.03759719809698585, -0.06665665454092762], 'char_orbit_index': 31, 'conrey_index': 125, 'dual_conrey_index': 341, 'dual_embedding_index': 1, 'dual_embedding_m': 9, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -0.05376008254296779, 'embedding_root_real': -1.731216293108684, 'hecke_orbit': 4, 'hecke_orbit_code': 13512860499968666, 'label': '666.2.be.d.125.1', 'level': 666, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2664, 'analytic_conductor': 5.318036774617274, 'char_conductor': 111, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 12, 'char_parity': 1, 'char_values': [666, 12, [371, 631], [6, 11]], 'conrey_index': 125, 'cusp_dim': 424, 'dim': 40, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 2061617857178, 'hecke_orbit_dims': [8, 8, 8, 16], 'label': '666.2.be', 'level': 666, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 37], 'level_radical': 222, 'mf_dim': 488, 'mf_new_dim': 40, 'num_forms': 4, 'prim_orbit_index': 13, 'relative_dim': 10, 'sturm_bound': 228, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 20, 0, 0, -24, 0, 0, 16, 0, 0, 0, 0, 0, 24, 0, 0, 8, 0, 0, 0, 0, 0, 64, 0, 0, 12, 0, 0, 8, 0, 0, 16, 0, 0, 36, 0, 0, -12, 0, 0, -16, 0, 0, -12, 0, 0, 12, 0, 0, 0, 0, 0, -96, 0, 0, 16, 0, 0, 0, 0, 0, 24, 0, 0, -88, 0, 0, -20, 0, 0, 0, 0, 0, 32, 0, 0, -88, 0, 0, 16, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 52, 0, 0, 0, 0, 0, -96, 0, 0, -16, 0, 0, -120, 0, 0, -16, 0, 0, -8, 0, 0, -52, 0, 0, -104, 0, 0, 12, 0, 0, 240, 0, 0, -64, 0, 0, -52, 0, 0, 20, 0, 0, 72, 0, 0, -32, 0, 0, 4, 0, 0, 0, 0, 0, -136, 0, 0, -64, 0, 0, 72, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 176, 0, 0, 80, 0, 0, -84, 0, 0, 0, 0, 0, 56, 0, 0, -124, 0, 0, -80, 0, 0, 0, 0, 0, -144, 0, 0, -112, 0, 0, 64, 0, 0, -16, 0, 0, -16, 0, 0, 96, 0, 0, 40, 0, 0, 0, 0, 0, -96, 0, 0, -16, 0, 0, -148, 0, 0, 12, 0, 0, -72, 0, 0, 204, 0, 0, 224, 0, 0, -20, 0, 0, 112, 0, 0, 0, 0, 0, -32, 0, 0, 24, 0, 0, 144, 0, 0, 28, 0, 0, -44, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 240, 0, 0, 8, 0, 0, 0, 0, 0, 24, 0, 0, -104, 0, 0, -48, 0, 0, 0, 0, 0, 80, 0, 0, -80, 0, 0, 88, 0, 0, 176, 0, 0, -160, 0, 0, -40, 0, 0, 8, 0, 0, 128, 0, 0, -128, 0, 0, 84, 0, 0, 20, 0, 0, -192, 0, 0, -200, 0, 0, 16, 0, 0, -16, 0, 0, -144, 0, 0, 48, 0, 0, 48, 0, 0, -152, 0, 0, -88, 0, 0, 20, 0, 0, 180, 0, 0, 16, 0, 0, 16, 0, 0, 64, 0, 0, 16, 0, 0, -64, 0, 0, 240, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 128, 0, 0, -72, 0, 0, -128, 0, 0, 0, 0, 0, -60, 0, 0, -44, 0, 0, -152, 0, 0, 96, 0, 0, 32, 0, 0, -52, 0, 0, 176, 0, 0, -20, 0, 0, 32, 0, 0, 24, 0, 0, 96, 0, 0, 224, 0, 0, 208, 0, 0, -48, 0, 0, -64, 0, 0, 168, 0, 0, 24, 0, 0, 96, 0, 0, -16, 0, 0, 32, 0, 0, 268, 0, 0, -48, 0, 0, -336, 0, 0, 128, 0, 0, 276, 0, 0, 16, 0, 0, 104, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 168, 0, 0, 84, 0, 0, 0, 0, 0, 52, 0, 0, -96, 0, 0, -208, 0, 0, 0, 0, 0, -64, 0, 0, -240, 0, 0, 84, 0, 0, -204, 0, 0, 0, 0, 0, -344, 0, 0, -160, 0, 0, -136, 0, 0, -16, 0, 0, -432, 0, 0, -140, 0, 0, -192, 0, 0, -64, 0, 0, 96, 0, 0, 112, 0, 0, -404, 0, 0, -96, 0, 0, -192, 0, 0, -100, 0, 0, 120, 0, 0, 8, 0, 0, 192, 0, 0, -48, 0, 0, -204, 0, 0, -16, 0, 0, -184, 0, 0, -144, 0, 0, 384, 0, 0, 32, 0, 0, 0, 0, 0, 96, 0, 0, -188, 0, 0, 0, 0, 0, -56, 0, 0, 20, 0, 0, -136, 0, 0, 0, 0, 0, -296, 0, 0, 32, 0, 0, -48, 0, 0, 80, 0, 0, -128, 0, 0, 80, 0, 0, -80, 0, 0, -64, 0, 0, 32, 0, 0, 240, 0, 0, 248, 0, 0, 24, 0, 0, 88, 0, 0, -176, 0, 0, -208, 0, 0, 40, 0, 0, 192, 0, 0, 384, 0, 0, 116, 0, 0, 32, 0, 0, 136, 0, 0, -48, 0, 0, -176, 0, 0, -4, 0, 0, 240, 0, 0, 112, 0, 0, -168, 0, 0, -120, 0, 0, 48, 0, 0, 0, 0, 0, -24, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -516, 0, 0, -64, 0, 0, 0, 0, 0, -48, 0, 0, -260, 0, 0, -80, 0, 0, 392, 0, 0, -160, 0, 0, 144, 0, 0, -24, 0, 0, -8, 0, 0, 56, 0, 0, -96, 0, 0, -36, 0, 0, -208, 0, 0, -176, 0, 0, 84, 0, 0, -40, 0, 0, -64, 0, 0, -192, 0, 0, -240, 0, 0, -20, 0, 0, -304, 0, 0, -80, 0, 0, 264, 0, 0, -68, 0, 0, 136, 0, 0, 96, 0, 0, -28, 0, 0, -12, 0, 0, 240, 0, 0, 192, 0, 0, 0, 0, 0, -48, 0, 0, -96, 0, 0, 0, 0, 0, 96, 0, 0, 80, 0, 0, 232, 0, 0, 0, 0, 0, -244, 0, 0, 64, 0, 0, -248, 0, 0, -128, 0, 0, 456, 0, 0, -80, 0, 0, 280, 0, 0, 16, 0, 0, 288, 0, 0, 96, 0, 0, 240, 0, 0, 48, 0, 0, -132, 0, 0, -56, 0, 0, -168, 0, 0, 240, 0, 0, -192, 0, 0, 252, 0, 0, 392, 0, 0, 184, 0, 0, -32, 0, 0, -12, 0, 0, -48, 0, 0, 64, 0, 0, -72, 0, 0, 96, 0, 0, 352, 0, 0, 96, 0, 0, 288, 0, 0, 0, 0, 0, 672, 0, 0, 96, 0, 0, 0, 0, 0, 148, 0, 0, -152, 0, 0, -308, 0, 0, 0, 0, 0, 60, 0, 0, -32, 0, 0, 384, 0, 0, 212, 0, 0, 16, 0, 0, 240, 0, 0, -48, 0, 0, -92, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43735076
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 125, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13512860499968666, 'source_is_minimal': True, 'source_label': '666.2.be.d.125.1', 'source_level': 666, 'target_conrey_index': 125, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512860499968666, 'target_is_minimal': True, 'target_label': '666.2.be.d.125.1', 'target_level': 666, 'twist_class_label': '666.2.be.d.125.1', 'twist_class_level': 666, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43735077
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 125, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13512860499968666, 'source_is_minimal': True, 'source_label': '666.2.be.d.125.1', 'source_level': 666, 'target_conrey_index': 125, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13512860499968666, 'target_is_minimal': True, 'target_label': '666.2.be.d.125.4', 'target_level': 666, 'twist_class_label': '666.2.be.d.125.1', 'twist_class_level': 666, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43735078
{'conductor': 37, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 125, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13512860499968666, 'source_is_minimal': True, 'source_label': '666.2.be.d.125.1', 'source_level': 666, 'target_conrey_index': 341, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13512860499968666, 'target_is_minimal': True, 'target_label': '666.2.be.d.341.4', 'target_level': 666, 'twist_class_label': '666.2.be.d.125.1', 'twist_class_level': 666, 'twisting_char_label': '37.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43735079
{'conductor': 111, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 125, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13512860499968666, 'source_is_minimal': True, 'source_label': '666.2.be.d.125.1', 'source_level': 666, 'target_conrey_index': 341, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512860499968666, 'target_is_minimal': True, 'target_label': '666.2.be.d.341.1', 'target_level': 666, 'twist_class_label': '666.2.be.d.125.1', 'twist_class_level': 666, 'twisting_char_label': '111.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1185250
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 2}
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id: 1185251
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13512860499968666, 'p': 3}
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id: 1185252
{'charpoly_factorization': [[[256, 0, 0, 0, -656, 0, 0, 0, 1665, 0, 0, 0, -41, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13512860499968666, 'p': 5}
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id: 1185253
{'charpoly_factorization': [[[4, 20, 98, 26, 43, 16, 17, 4, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 7}
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id: 1185254
{'charpoly_factorization': [[[64, 0, -768, 0, 308, 0, -36, 0, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 11}
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id: 1185255
{'charpoly_factorization': [[[4, -20, 350, -66, 35, 24, -13, -2, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 13}
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id: 1185256
{'charpoly_factorization': [[[16, 0, 624, 0, 7868, 0, -9516, 0, 4341, 0, -732, 0, -13, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 13512860499968666, 'p': 17}
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id: 1185257
{'charpoly_factorization': [[[21904, 16576, 32288, 3168, -2260, -48, 56, -8, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 19}
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id: 1185258
{'charpoly_factorization': [[[26873856, 0, 0, 0, 5585656320, 0, 0, 0, 17149968, 0, 0, 0, 8280, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13512860499968666, 'p': 23}
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id: 1185259
{'charpoly_factorization': [[[16, 0, 0, 0, 1667480, 0, 0, 0, 2099121, 0, 0, 0, 3050, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13512860499968666, 'p': 29}
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id: 1185260
{'charpoly_factorization': [[[743044, -124128, 10368, 5052, 3317, -282, 18, 6, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 31}
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id: 1185261
{'charpoly_factorization': [[[1874161, -303918, -20535, 9102, -1336, 246, -15, -6, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 37}
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id: 1185262
{'charpoly_factorization': [[[15352201216, 0, 25034555392, 0, 39362194432, 0, 2334181696, 0, 99349537, 0, 1907332, 0, 26623, 0, 196, 0, 1], 1]], 'hecke_orbit_code': 13512860499968666, 'p': 41}
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id: 1185263
{'charpoly_factorization': [[[484, -1936, 3872, 1100, 181, -62, 50, 10, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 43}
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id: 1185264
{'charpoly_factorization': [[[5184, 0, 20736, 0, 2772, 0, 108, 0, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 47}
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id: 1185265
{'charpoly_factorization': [[[256, 0, -224, 0, 180, 0, -14, 0, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 53}
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id: 1185266
{'charpoly_factorization': [[[23425600000000, 0, 4344384000000, 0, 195361760000, 0, -13575302400, 0, 227485776, 0, -181488, 0, -15076, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 13512860499968666, 'p': 59}
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id: 1185267
{'charpoly_factorization': [[[484, -484, -154, -154, 163, 292, 83, -2, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 61}
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id: 1185268
{'charpoly_factorization': [[[45796, 663828, 3306978, 1442430, 284255, 30690, 1917, 66, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 67}
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id: 1185269
{'charpoly_factorization': [[[3110228525056, 0, -486128402432, 0, 50861329408, 0, -3009266432, 0, 129459472, 0, -3152144, 0, 53356, 0, -260, 0, 1], 1]], 'hecke_orbit_code': 13512860499968666, 'p': 71}
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id: 1185270
{'charpoly_factorization': [[[110224, 0, 34456, 0, 3561, 0, 130, 0, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 73}
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id: 1185271
{'charpoly_factorization': [[[4, 20, 350, 66, 35, -24, -13, 2, 1], 2]], 'hecke_orbit_code': 13512860499968666, 'p': 79}
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id: 1185272
{'charpoly_factorization': [[[6044831973376, 0, -771024486400, 0, 66864738304, 0, -3051553792, 0, 100018192, 0, -1882384, 0, 25612, 0, -196, 0, 1], 1]], 'hecke_orbit_code': 13512860499968666, 'p': 83}
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id: 1185273
{'charpoly_factorization': [[[10875854196736, 0, 4287476628480, 0, 472853436608, 0, -35696296560, 0, 802592193, 0, -3294840, 0, -22657, 0, 120, 0, 1], 1]], 'hecke_orbit_code': 13512860499968666, 'p': 89}
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id: 1185274
{'charpoly_factorization': [[[49, 70, 50, 10, 1], 4]], 'hecke_orbit_code': 13512860499968666, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 31, 'hecke_orbit': 4, 'label': '666.2.be.d', 'level': 666, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 145990000
{'hecke_orbit_code': 13512860499968666, 'n': 1, 'trace_an': 16}
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id: 145990001
{'hecke_orbit_code': 13512860499968666, 'n': 2, 'trace_an': 0}
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id: 145990002
{'hecke_orbit_code': 13512860499968666, 'n': 3, 'trace_an': 0}
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id: 145990003
{'hecke_orbit_code': 13512860499968666, 'n': 4, 'trace_an': 0}
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id: 145990004
{'hecke_orbit_code': 13512860499968666, 'n': 5, 'trace_an': 0}
-
id: 145990005
{'hecke_orbit_code': 13512860499968666, 'n': 6, 'trace_an': 0}
-
id: 145990006
{'hecke_orbit_code': 13512860499968666, 'n': 7, 'trace_an': -8}
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id: 145990007
{'hecke_orbit_code': 13512860499968666, 'n': 8, 'trace_an': 0}
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id: 145990008
{'hecke_orbit_code': 13512860499968666, 'n': 9, 'trace_an': 0}
-
id: 145990009
{'hecke_orbit_code': 13512860499968666, 'n': 10, 'trace_an': 0}
-
id: 145990010
{'hecke_orbit_code': 13512860499968666, 'n': 11, 'trace_an': 0}
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id: 145990011
{'hecke_orbit_code': 13512860499968666, 'n': 12, 'trace_an': 0}
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id: 145990012
{'hecke_orbit_code': 13512860499968666, 'n': 13, 'trace_an': 4}
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id: 145990013
{'hecke_orbit_code': 13512860499968666, 'n': 14, 'trace_an': 0}
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id: 145990014
{'hecke_orbit_code': 13512860499968666, 'n': 15, 'trace_an': 0}
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id: 145990015
{'hecke_orbit_code': 13512860499968666, 'n': 16, 'trace_an': 8}
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id: 145990016
{'hecke_orbit_code': 13512860499968666, 'n': 17, 'trace_an': 0}
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id: 145990017
{'hecke_orbit_code': 13512860499968666, 'n': 18, 'trace_an': 0}
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id: 145990018
{'hecke_orbit_code': 13512860499968666, 'n': 19, 'trace_an': 16}
-
id: 145990019
{'hecke_orbit_code': 13512860499968666, 'n': 20, 'trace_an': 0}
-
id: 145990020
{'hecke_orbit_code': 13512860499968666, 'n': 21, 'trace_an': 0}
-
id: 145990021
{'hecke_orbit_code': 13512860499968666, 'n': 22, 'trace_an': 20}
-
id: 145990022
{'hecke_orbit_code': 13512860499968666, 'n': 23, 'trace_an': 0}
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id: 145990023
{'hecke_orbit_code': 13512860499968666, 'n': 24, 'trace_an': 0}
-
id: 145990024
{'hecke_orbit_code': 13512860499968666, 'n': 25, 'trace_an': 0}
-
id: 145990025
{'hecke_orbit_code': 13512860499968666, 'n': 26, 'trace_an': 0}
-
id: 145990026
{'hecke_orbit_code': 13512860499968666, 'n': 27, 'trace_an': 0}
-
id: 145990027
{'hecke_orbit_code': 13512860499968666, 'n': 28, 'trace_an': 12}
-
id: 145990028
{'hecke_orbit_code': 13512860499968666, 'n': 29, 'trace_an': 0}
-
id: 145990029
{'hecke_orbit_code': 13512860499968666, 'n': 30, 'trace_an': 0}
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id: 145990030
{'hecke_orbit_code': 13512860499968666, 'n': 31, 'trace_an': -12}
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id: 145990031
{'hecke_orbit_code': 13512860499968666, 'n': 32, 'trace_an': 0}
-
id: 145990032
{'hecke_orbit_code': 13512860499968666, 'n': 33, 'trace_an': 0}
-
id: 145990033
{'hecke_orbit_code': 13512860499968666, 'n': 34, 'trace_an': 8}
-
id: 145990034
{'hecke_orbit_code': 13512860499968666, 'n': 35, 'trace_an': 0}
-
id: 145990035
{'hecke_orbit_code': 13512860499968666, 'n': 36, 'trace_an': 0}
-
id: 145990036
{'hecke_orbit_code': 13512860499968666, 'n': 37, 'trace_an': 12}
-
id: 145990037
{'hecke_orbit_code': 13512860499968666, 'n': 38, 'trace_an': 0}
-
id: 145990038
{'hecke_orbit_code': 13512860499968666, 'n': 39, 'trace_an': 0}
-
id: 145990039
{'hecke_orbit_code': 13512860499968666, 'n': 40, 'trace_an': 12}
-
id: 145990040
{'hecke_orbit_code': 13512860499968666, 'n': 41, 'trace_an': 0}
-
id: 145990041
{'hecke_orbit_code': 13512860499968666, 'n': 42, 'trace_an': 0}
-
id: 145990042
{'hecke_orbit_code': 13512860499968666, 'n': 43, 'trace_an': -20}
-
id: 145990043
{'hecke_orbit_code': 13512860499968666, 'n': 44, 'trace_an': 0}
-
id: 145990044
{'hecke_orbit_code': 13512860499968666, 'n': 45, 'trace_an': 0}
-
id: 145990045
{'hecke_orbit_code': 13512860499968666, 'n': 46, 'trace_an': 12}
-
id: 145990046
{'hecke_orbit_code': 13512860499968666, 'n': 47, 'trace_an': 0}
-
id: 145990047
{'hecke_orbit_code': 13512860499968666, 'n': 48, 'trace_an': 0}
-
id: 145990048
{'hecke_orbit_code': 13512860499968666, 'n': 49, 'trace_an': 20}
-
id: 145990049
{'hecke_orbit_code': 13512860499968666, 'n': 50, 'trace_an': 0}
-
id: 145990050
{'hecke_orbit_code': 13512860499968666, 'n': 51, 'trace_an': 0}
-
id: 145990051
{'hecke_orbit_code': 13512860499968666, 'n': 52, 'trace_an': -4}
-
id: 145990052
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