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{'Nk2': 30576, 'analytic_conductor': 61.03764730506673, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [7644, 2, [3823, 2549, 3433, 5293], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 4705, 'dim': 16, 'field_disc': 31058702428100684263987364233216, 'field_disc_factorization': [[2, 38], [7, 6], [241, 2], [128591, 2]], 'field_poly': [26896, 0, 100432, 0, 144580, 0, 101640, 0, 37308, 0, 7500, 0, 825, 0, 46, 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, [26896, 0, 100432, 0, 144580, 0, 101640, 0, 37308, 0, 7500, 0, 825, 0, 46, 0, 1]], [11, [2166784, 0, 5198848, 0, 4250944, 0, 1668832, 0, 355556, 0, 42528, 0, 2772, 0, 88, 0, 1]], [17, [106048, 1152, -30464, -416, 2708, 16, -92, 0, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057868949396956, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 256, 'hecke_ring_index_factorization': [[2, 8]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 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': '7644.2.e.q', 'level': 7644, '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, 7, 13], 'level_radical': 546, 'minimal_twist': '7644.2.e.p', 'prim_orbit_index': 2, 'qexp_display': 'q+q^{3}+\\beta _{1}q^{5}+q^{9}+\\beta _{7}q^{11}+\\beta _{10}q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 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mf_newspaces • Show schema
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{'Nk2': 30576, 'analytic_conductor': 61.03764730506673, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [7644, 2, [3823, 2549, 3433, 5293], [2, 2, 2, 1]], 'conrey_index': 4705, 'cusp_dim': 1520, 'dim': 96, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 274911469020, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 6, 6, 10, 10, 16, 16], 'label': '7644.2.e', 'level': 7644, '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, 7, 13], 'level_radical': 546, 'mf_dim': 1616, 'mf_new_dim': 96, 'num_forms': 17, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 3136, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -88, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 8, 0, 72, 0, -32, 0, 0, 0, 0, 0, 8, 0, 0, 0, 36, 0, 0, 0, 8, 0, 0, 0, 0, 0, -16, 0, 0, 0, -68, 0, 96, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -8, 0, 32, 0, 0, 0, 8, 0, 0, 0, 0, 0, -32, 0, 0, 0, 4, 0, 0, 0, -48, 0, 0, 0, 0, 0, -68, 0, 16, 0, -8, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, -32, 0, -8, 0, 0, 0, 0, 0, -32, 0, 0, 0, 18, 0, 0, 0, 24, 0, 0, 0, 0, 0, 40, 0, 56, 0, -40, 0, -16, 0, 0, 0, 0, 0, 136, 0, 0, 0, 24, 0, 0, 0, 8, 0, 0, 0, 0, 0, 16, 0, -8, 0, 64, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 8, 0, 48, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, -64, 0, 0, 0, 0, 0, -8, 0, 0, 0, -8, 0, -80, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 32, 0, 56, 0, 0, 0, 224, 0, 0, 0, 0, 0, 56, 0, 0, 0, -24, 0, 0, 0, 48, 0, 0, 0, 0, 0, -84, 0, -72, 0, -56, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, -76, 0, 8, 0, 96, 0, 0, 0, 0, 0, 24, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 56, 0, 24, 0, 0, 0, 0, 0, -4, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 12, 0, 56, 0, 88, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -40, 0, 76, 0, -112, 0, 0, 0, 0, 0, -8, 0, 0, 0, -44, 0, 0, 0, 16, 0, 0, 0, 0, 0, -128, 0, 0, 0, -64, 0, -112, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 72, 0, -216, 0, 0, 0, 104, 0, 0, 0, 0, 0, 72, 0, 0, 0, -48, 0, 0, 0, 24, 0, 0, 0, 0, 0, -256, 0, 72, 0, -32, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 16, 0, 8, 0, 32, 0, 0, 0, 0, 0, 144, 0, 0, 0, -116, 0, 0, 0, 24, 0, 0, 0, 0, 0, 4, 0, -72, 0, -312, 0, 8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 88, 0, 0, 0, -8, 0, 0, 0, 0, 0, -72, 0, 188, 0, 32, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 244, 0, 0, 0, 0, 0, 0, 0, -96, 0, -280, 0, -160, 0, 0, 0, 0, 0, 224, 0, 0, 0, -228, 0, 0, 0, -80, 0, 0, 0, 0, 0, 8, 0, 0, 0, 240, 0, -56, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, -40, 0, 16, 0, 0, 0, -8, 0, 0, 0, 0, 0, 432, 0, 0, 0, 32, 0, 0, 0, 184, 0, 0, 0, 0, 0, 44, 0, -16, 0, 128, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 168, 0, 208, 0, -96, 0, 0, 0, 0, 0, -68, 0, 0, 0, -344, 0, 0, 0, -8, 0, 0, 0, 0, 0, -48, 0, 8, 0, 96, 0, -232, 0, 0, 0, 0, 0, 224, 0, 0, 0, 48, 0, 0, 0, -80, 0, 0, 0, 0, 0, -236, 0, -104, 0, 112, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 288, 0, 184, 0, -8, 0, 0, 0, 0, 0, 72, 0, 0, 0, -12, 0, 0, 0, -128, 0, 0, 0, 0, 0, -16, 0, 0, 0, 136, 0, -112, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 128, 0, 128, 0, 0, 0, 152, 0, 0, 0, 0, 0, 280, 0, 0, 0, -240, 0, 0, 0, -28, 0, 0, 0, 0, 0, -24, 0, 152, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 4, 0, 48, 0, 296, 0, 0, 0, 0, 0, -192, 0, 0, 0, -24, 0, 0, 0, 72, 0, 0, 0, 0, 0, 284, 0, -8, 0, -80, 0, 32, 0, 0, 0, 0, 0, 132, 0, 0, 0, 160, 0, 0, 0, 32, 0, 0, 0, 0, 0, 8, 0, 360, 0, 184, 0, 196, 0, 0, 0, 0, 0, 0, 0, 0, 0, -82, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 260, 0, 8, 0, -104, 0, 0, 0, 0, 0, -112, 0, 0, 0, -194, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, 364, 0, 0, 0, 0, 0, -136, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48065819
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 4705, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 72057868949396956, 'source_is_minimal': True, 'source_label': '7644.2.e.q.4705.7', 'source_level': 7644, 'target_conrey_index': 4705, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 72057868949396956, 'target_is_minimal': True, 'target_label': '7644.2.e.q.4705.7', 'target_level': 7644, 'twist_class_label': '7644.2.e.p.4705.7', 'twist_class_level': 7644, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48065820
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 4705, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 72057868949396956, 'source_is_minimal': True, 'source_label': '7644.2.e.q.4705.7', 'source_level': 7644, 'target_conrey_index': 4705, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 67554269322026460, 'target_is_minimal': True, 'target_label': '7644.2.e.p.4705.10', 'target_level': 7644, 'twist_class_label': '7644.2.e.p.4705.7', 'twist_class_level': 7644, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48065821
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 4705, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 72057868949396956, 'source_is_minimal': True, 'source_label': '7644.2.e.q.4705.7', 'source_level': 7644, 'target_conrey_index': 4705, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 72057868949396956, 'target_is_minimal': True, 'target_label': '7644.2.e.q.4705.10', 'target_level': 7644, 'twist_class_label': '7644.2.e.p.4705.7', 'twist_class_level': 7644, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 48065822
{'conductor': 91, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 4705, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 72057868949396956, 'source_is_minimal': True, 'source_label': '7644.2.e.q.4705.7', 'source_level': 7644, 'target_conrey_index': 4705, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 67554269322026460, 'target_is_minimal': True, 'target_label': '7644.2.e.p.4705.7', 'target_level': 7644, 'twist_class_label': '7644.2.e.p.4705.7', 'twist_class_level': 7644, 'twisting_char_label': '91.90', 'twisting_conrey_index': 90, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4534275
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 72057868949396956, 'p': 2}
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id: 4534276
{'charpoly_factorization': [[[-1, 1], 16]], 'hecke_orbit_code': 72057868949396956, 'p': 3}
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id: 4534277
{'charpoly_factorization': [[[26896, 0, 100432, 0, 144580, 0, 101640, 0, 37308, 0, 7500, 0, 825, 0, 46, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 5}
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id: 4534278
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 72057868949396956, 'p': 7}
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id: 4534279
{'charpoly_factorization': [[[2166784, 0, 5198848, 0, 4250944, 0, 1668832, 0, 355556, 0, 42528, 0, 2772, 0, 88, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 11}
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id: 4534280
{'charpoly_factorization': [[[815730721, 0, 28960854, 41584816, 456976, 2355184, 769626, 71968, 74302, 5536, 4554, 1072, 16, 112, 6, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 13}
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id: 4534281
{'charpoly_factorization': [[[106048, 1152, -30464, -416, 2708, 16, -92, 0, 1], 2]], 'hecke_orbit_code': 72057868949396956, 'p': 17}
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id: 4534282
{'charpoly_factorization': [[[928055296, 0, 1889026048, 0, 940921856, 0, 155108352, 0, 12416128, 0, 548432, 0, 13705, 0, 182, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 19}
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id: 4534283
{'charpoly_factorization': [[[-294784, -267776, -44032, 17120, 4372, -340, -117, 2, 1], 2]], 'hecke_orbit_code': 72057868949396956, 'p': 23}
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id: 4534284
{'charpoly_factorization': [[[199552, -45184, -52048, 5280, 4224, -168, -121, 2, 1], 2]], 'hecke_orbit_code': 72057868949396956, 'p': 29}
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id: 4534285
{'charpoly_factorization': [[[1494286336, 0, 8259223552, 0, 3085497344, 0, 445128704, 0, 31425024, 0, 1182672, 0, 23977, 0, 246, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 31}
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id: 4534286
{'charpoly_factorization': [[[13153337344, 0, 37857787904, 0, 9368567808, 0, 965771264, 0, 52436992, 0, 1617920, 0, 28432, 0, 264, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 37}
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id: 4534287
{'charpoly_factorization': [[[581937071104, 0, 241624769792, 0, 39573246608, 0, 3317801840, 0, 154098420, 0, 3994416, 0, 55464, 0, 380, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 41}
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id: 4534288
{'charpoly_factorization': [[[42752, 27008, -104304, 7040, 10888, -720, -199, 6, 1], 2]], 'hecke_orbit_code': 72057868949396956, 'p': 43}
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id: 4534289
{'charpoly_factorization': [[[4650958065664, 0, 2286494229248, 0, 295515915012, 0, 17260704200, 0, 537617416, 0, 9460552, 0, 93597, 0, 482, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 47}
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id: 4534290
{'charpoly_factorization': [[[1984, 22848, 49040, 34816, 6628, -892, -189, 6, 1], 2]], 'hecke_orbit_code': 72057868949396956, 'p': 53}
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id: 4534291
{'charpoly_factorization': [[[34780758016, 0, 518584379392, 0, 170764866624, 0, 12879966944, 0, 443053860, 0, 8207232, 0, 84596, 0, 456, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 59}
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id: 4534292
{'charpoly_factorization': [[[192512, -90112, -1007104, -85760, 29680, 1712, -298, -8, 1], 2]], 'hecke_orbit_code': 72057868949396956, 'p': 61}
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id: 4534293
{'charpoly_factorization': [[[9487582756864, 0, 2625214873600, 0, 298510467072, 0, 17993908224, 0, 617530368, 0, 12016640, 0, 124068, 0, 588, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 67}
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id: 4534294
{'charpoly_factorization': [[[10654113796096, 0, 8253510011904, 0, 1145945544000, 0, 61072850016, 0, 1592412068, 0, 22154560, 0, 167540, 0, 648, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 71}
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id: 4534295
{'charpoly_factorization': [[[140388753227776, 0, 57437227548672, 0, 4828369224704, 0, 180704807168, 0, 3614609188, 0, 40774204, 0, 255333, 0, 810, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 73}
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id: 4534296
{'charpoly_factorization': [[[-5325824, 3389568, 2982980, 587720, 18776, -5032, -363, 10, 1], 2]], 'hecke_orbit_code': 72057868949396956, 'p': 79}
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id: 4534297
{'charpoly_factorization': [[[169190997934336, 0, 77553730238656, 0, 10207922463172, 0, 378992135144, 0, 6594421352, 0, 62227624, 0, 327133, 0, 898, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 83}
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id: 4534298
{'charpoly_factorization': [[[9364358895376, 0, 7913405706064, 0, 1691500968068, 0, 134711433384, 0, 3946282524, 0, 51803196, 0, 321433, 0, 926, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 89}
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id: 4534299
{'charpoly_factorization': [[[19550829543424, 0, 86040600641536, 0, 7492951293952, 0, 262552165376, 0, 4759614372, 0, 48346716, 0, 276309, 0, 826, 0, 1], 1]], 'hecke_orbit_code': 72057868949396956, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 17, 'label': '7644.2.e.q', 'level': 7644, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 62054395
{'hecke_orbit_code': 72057868949396956, 'n': 1, 'trace_an': 16}
-
id: 62054396
{'hecke_orbit_code': 72057868949396956, 'n': 2, 'trace_an': 0}
-
id: 62054397
{'hecke_orbit_code': 72057868949396956, 'n': 3, 'trace_an': 16}
-
id: 62054398
{'hecke_orbit_code': 72057868949396956, 'n': 4, 'trace_an': 0}
-
id: 62054399
{'hecke_orbit_code': 72057868949396956, 'n': 5, 'trace_an': 0}
-
id: 62054400
{'hecke_orbit_code': 72057868949396956, 'n': 6, 'trace_an': 0}
-
id: 62054401
{'hecke_orbit_code': 72057868949396956, 'n': 7, 'trace_an': 0}
-
id: 62054402
{'hecke_orbit_code': 72057868949396956, 'n': 8, 'trace_an': 0}
-
id: 62054403
{'hecke_orbit_code': 72057868949396956, 'n': 9, 'trace_an': 16}
-
id: 62054404
{'hecke_orbit_code': 72057868949396956, 'n': 10, 'trace_an': 0}
-
id: 62054405
{'hecke_orbit_code': 72057868949396956, 'n': 11, 'trace_an': 0}
-
id: 62054406
{'hecke_orbit_code': 72057868949396956, 'n': 12, 'trace_an': 0}
-
id: 62054407
{'hecke_orbit_code': 72057868949396956, 'n': 13, 'trace_an': 0}
-
id: 62054408
{'hecke_orbit_code': 72057868949396956, 'n': 14, 'trace_an': 0}
-
id: 62054409
{'hecke_orbit_code': 72057868949396956, 'n': 15, 'trace_an': 0}
-
id: 62054410
{'hecke_orbit_code': 72057868949396956, 'n': 16, 'trace_an': 0}
-
id: 62054411
{'hecke_orbit_code': 72057868949396956, 'n': 17, 'trace_an': 0}
-
id: 62054412
{'hecke_orbit_code': 72057868949396956, 'n': 18, 'trace_an': 0}
-
id: 62054413
{'hecke_orbit_code': 72057868949396956, 'n': 19, 'trace_an': 0}
-
id: 62054414
{'hecke_orbit_code': 72057868949396956, 'n': 20, 'trace_an': 0}
-
id: 62054415
{'hecke_orbit_code': 72057868949396956, 'n': 21, 'trace_an': 0}
-
id: 62054416
{'hecke_orbit_code': 72057868949396956, 'n': 22, 'trace_an': 0}
-
id: 62054417
{'hecke_orbit_code': 72057868949396956, 'n': 23, 'trace_an': -4}
-
id: 62054418
{'hecke_orbit_code': 72057868949396956, 'n': 24, 'trace_an': 0}
-
id: 62054419
{'hecke_orbit_code': 72057868949396956, 'n': 25, 'trace_an': -12}
-
id: 62054420
{'hecke_orbit_code': 72057868949396956, 'n': 26, 'trace_an': 0}
-
id: 62054421
{'hecke_orbit_code': 72057868949396956, 'n': 27, 'trace_an': 16}
-
id: 62054422
{'hecke_orbit_code': 72057868949396956, 'n': 28, 'trace_an': 0}
-
id: 62054423
{'hecke_orbit_code': 72057868949396956, 'n': 29, 'trace_an': -4}
-
id: 62054424
{'hecke_orbit_code': 72057868949396956, 'n': 30, 'trace_an': 0}
-
id: 62054425
{'hecke_orbit_code': 72057868949396956, 'n': 31, 'trace_an': 0}
-
id: 62054426
{'hecke_orbit_code': 72057868949396956, 'n': 32, 'trace_an': 0}
-
id: 62054427
{'hecke_orbit_code': 72057868949396956, 'n': 33, 'trace_an': 0}
-
id: 62054428
{'hecke_orbit_code': 72057868949396956, 'n': 34, 'trace_an': 0}
-
id: 62054429
{'hecke_orbit_code': 72057868949396956, 'n': 35, 'trace_an': 0}
-
id: 62054430
{'hecke_orbit_code': 72057868949396956, 'n': 36, 'trace_an': 0}
-
id: 62054431
{'hecke_orbit_code': 72057868949396956, 'n': 37, 'trace_an': 0}
-
id: 62054432
{'hecke_orbit_code': 72057868949396956, 'n': 38, 'trace_an': 0}
-
id: 62054433
{'hecke_orbit_code': 72057868949396956, 'n': 39, 'trace_an': 0}
-
id: 62054434
{'hecke_orbit_code': 72057868949396956, 'n': 40, 'trace_an': 0}
-
id: 62054435
{'hecke_orbit_code': 72057868949396956, 'n': 41, 'trace_an': 0}
-
id: 62054436
{'hecke_orbit_code': 72057868949396956, 'n': 42, 'trace_an': 0}
-
id: 62054437
{'hecke_orbit_code': 72057868949396956, 'n': 43, 'trace_an': -12}
-
id: 62054438
{'hecke_orbit_code': 72057868949396956, 'n': 44, 'trace_an': 0}
-
id: 62054439
{'hecke_orbit_code': 72057868949396956, 'n': 45, 'trace_an': 0}
-
id: 62054440
{'hecke_orbit_code': 72057868949396956, 'n': 46, 'trace_an': 0}
-
id: 62054441
{'hecke_orbit_code': 72057868949396956, 'n': 47, 'trace_an': 0}
-
id: 62054442
{'hecke_orbit_code': 72057868949396956, 'n': 48, 'trace_an': 0}
-
id: 62054443
{'hecke_orbit_code': 72057868949396956, 'n': 49, 'trace_an': 0}
-
id: 62054444
{'hecke_orbit_code': 72057868949396956, 'n': 50, 'trace_an': 0}
-
id: 62054445
{'hecke_orbit_code': 72057868949396956, 'n': 51, 'trace_an': 0}
-
id: 62054446
{'hecke_orbit_code': 72057868949396956, 'n': 52, 'trace_an': 0}
-
id: 62054447
{'hecke_orbit_code': 72057868949396956, 'n': 53, 'trace_an': -12}
-
id: 62054448
{'hecke_orbit_code': 72057868949396956, 'n': 54, 'trace_an': 0}
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