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mf_newforms • Show schema
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{'Nk2': 5040, 'analytic_conductor': 10.06115065468133, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 3, 'char_parity': 1, 'char_values': [1260, 3, [631, 281, 757, 1081], [3, 3, 3, 2]], 'cm_discs': [], 'conrey_index': 361, 'dim': 6, 'field_disc': -4406832, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [101, 2]], 'field_poly': [1, 5, 24, 7, 6, -1, 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': [[11, [324, 324, 288, 72, 22, -2, 1]], [13, [3, -11, 5, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31526434375730412, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5040, 'analytic_conductor': 10.06115065468133, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 3, 'char_parity': 1, 'char_values': [1260, 3, [631, 281, 757, 1081], [3, 3, 3, 2]], 'conrey_index': 361, 'cusp_dim': 528, 'dim': 28, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13], 'hecke_orbit_code': 1236984136940, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 6, 6], 'label': '1260.2.s', 'level': 1260, '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, 5, 7], 'level_radical': 210, 'mf_dim': 624, 'mf_new_dim': 28, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 14, 'sturm_bound': 576, 'trace_bound': 7, 'trace_display': [0, 0, -2, 2], 'traces': [28, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, -16, 0, 0, 0, -12, 0, -4, 0, 0, 0, -6, 0, -14, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 20, 0, 4, 0, 0, 0, 16, 0, 10, 0, 0, 0, 16, 0, 8, 0, 0, 0, -12, 0, 2, 0, 0, 0, 0, 0, 14, 0, 0, 0, -64, 0, 0, 0, 0, 0, 32, 0, 12, 0, 0, 0, 52, 0, 8, 0, 0, 0, -6, 0, -48, 0, 0, 0, 8, 0, -24, 0, 0, 0, -6, 0, 30, 0, 0, 0, -30, 0, -22, 0, 0, 0, 72, 0, 2, 0, 0, 0, 40, 0, -38, 0, 0, 0, 4, 0, 8, 0, 0, 0, 56, 0, 4, 0, 0, 0, -4, 0, -64, 0, 0, 0, -28, 0, 6, 0, 0, 0, -10, 0, -4, 0, 0, 0, 24, 0, -20, 0, 0, 0, 32, 0, -16, 0, 0, 0, -84, 0, 108, 0, 0, 0, -68, 0, 2, 0, 0, 0, -56, 0, 108, 0, 0, 0, -16, 0, -24, 0, 0, 0, -32, 0, 16, 0, 0, 0, 16, 0, -48, 0, 0, 0, -62, 0, -22, 0, 0, 0, -32, 0, 112, 0, 0, 0, -14, 0, -28, 0, 0, 0, -20, 0, -48, 0, 0, 0, 56, 0, 48, 0, 0, 0, 36, 0, -24, 0, 0, 0, -24, 0, 12, 0, 0, 0, -50, 0, 4, 0, 0, 0, -40, 0, -104, 0, 0, 0, 0, 0, -36, 0, 0, 0, 34, 0, -16, 0, 0, 0, 2, 0, -88, 0, 0, 0, 0, 0, 48, 0, 0, 0, -16, 0, 28, 0, 0, 0, 38, 0, -10, 0, 0, 0, -8, 0, -48, 0, 0, 0, 0, 0, -18, 0, 0, 0, 10, 0, 116, 0, 0, 0, 72, 0, 52, 0, 0, 0, 28, 0, 68, 0, 0, 0, 168, 0, 8, 0, 0, 0, -56, 0, -16, 0, 0, 0, -28, 0, 72, 0, 0, 0, 92, 0, 80, 0, 0, 0, -34, 0, -116, 0, 0, 0, -56, 0, 24, 0, 0, 0, 16, 0, -50, 0, 0, 0, 56, 0, -130, 0, 0, 0, 56, 0, -92, 0, 0, 0, -16, 0, -104, 0, 0, 0, -78, 0, 68, 0, 0, 0, 4, 0, -184, 0, 0, 0, -32, 0, -16, 0, 0, 0, -42, 0, -4, 0, 0, 0, -32, 0, -74, 0, 0, 0, -172, 0, 26, 0, 0, 0, 24, 0, 164, 0, 0, 0, -12, 0, -72, 0, 0, 0, 12, 0, 120, 0, 0, 0, 36, 0, 24, 0, 0, 0, 58, 0, 2, 0, 0, 0, 44, 0, -124, 0, 0, 0, -72, 0, -60, 0, 0, 0, -40, 0, 52, 0, 0, 0, 90, 0, 38, 0, 0, 0, 36, 0, 8, 0, 0, 0, 24, 0, -68, 0, 0, 0, 40, 0, -76, 0, 0, 0, -208, 0, 100, 0, 0, 0, 104, 0, -24, 0, 0, 0, 20, 0, 12, 0, 0, 0, 26, 0, 44, 0, 0, 0, 50, 0, -144, 0, 0, 0, 68, 0, 60, 0, 0, 0, -72, 0, -56, 0, 0, 0, 336, 0, 22, 0, 0, 0, 0, 0, 74, 0, 0, 0, 68, 0, 60, 0, 0, 0, 160, 0, 244, 0, 0, 0, -100, 0, 336, 0, 0, 0, -130, 0, 32, 0, 0, 0, -40, 0, 92, 0, 0, 0, 12, 0, 64, 0, 0, 0, 98, 0, -72, 0, 0, 0, -88, 0, 8, 0, 0, 0, -176, 0, 12, 0, 0, 0, -20, 0, -128, 0, 0, 0, -50, 0, 86, 0, 0, 0, 32, 0, -124, 0, 0, 0, -24, 0, 72, 0, 0, 0, -188, 0, -14, 0, 0, 0, -96, 0, 200, 0, 0, 0, -52, 0, -16, 0, 0, 0, -6, 0, -264, 0, 0, 0, 6, 0, -48, 0, 0, 0, 40, 0, -16, 0, 0, 0, -64, 0, -50, 0, 0, 0, -84, 0, 82, 0, 0, 0, 48, 0, -136, 0, 0, 0, -36, 0, -172, 0, 0, 0, 26, 0, -80, 0, 0, 0, 0, 0, -80, 0, 0, 0, 12, 0, 68, 0, 0, 0, -380, 0, 20, 0, 0, 0, 90, 0, 82, 0, 0, 0, 8, 0, -64, 0, 0, 0, 52, 0, -36, 0, 0, 0, 2, 0, 364, 0, 0, 0, 60, 0, 128, 0, 0, 0, -48, 0, -8, 0, 0, 0, 292, 0, -14, 0, 0, 0, 116, 0, 28, 0, 0, 0, 24, 0, 24, 0, 0, 0, 168, 0, -6, 0, 0, 0, 44, 0, 32, 0, 0, 0, -136, 0, 0, 0, 0, 0, 16, 0, 8, 0, 0, 0, 88, 0, 42, 0, 0, 0, 188, 0, 4, 0, 0, 0, 168, 0, 112, 0, 0, 0, -256, 0, 62, 0, 0, 0, 18, 0, 136, 0, 0, 0, -32, 0, -52, 0, 0, 0, -88, 0, -50, 0, 0, 0, -4, 0, -112, 0, 0, 0, -180, 0, -54, 0, 0, 0, 0, 0, 296, 0, 0, 0, -86, 0, -372, 0, 0, 0, -72, 0, -88, 0, 0, 0, 32, 0, 128, 0, 0, 0, 22, 0, -32, 0, 0, 0, 128, 0, -80, 0, 0, 0, -6, 0, -64, 0, 0, 0, -28, 0, -328, 0, 0, 0, 118, 0, -172, 0, 0, 0, 152, 0, -72, 0, 0, 0, -80, 0, -184, 0, 0, 0, 30, 0, 146, 0, 0, 0, -216, 0, 116, 0, 0, 0, 136, 0, -84, 0, 0, 0, 336, 0, -40, 0, 0, 0, 18, 0, -64, 0, 0, 0, 76, 0, -152, 0, 0, 0, 56, 0, 270, 0, 0, 0, -26, 0, 92, 0, 0, 0, 336, 0, 68, 0, 0, 0, 60, 0, 142, 0, 0, 0, 104, 0, 116, 0, 0, 0, 124, 0, 208, 0, 0, 0, -192, 0, -248, 0, 0, 0, -142, 0, 68, 0, 0, 0, -122, 0, -16, 0, 0, 0, 128, 0, -156, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46401563
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 541, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526434375730412, 'source_is_minimal': True, 'source_label': '1260.2.s.h.541.2', 'source_level': 1260, 'target_conrey_index': 541, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526434375730412, 'target_is_minimal': True, 'target_label': '1260.2.s.h.541.2', 'target_level': 1260, 'twist_class_label': '1260.2.s.g.361.2', 'twist_class_level': 1260, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46401564
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 541, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526434375730412, 'source_is_minimal': True, 'source_label': '1260.2.s.h.541.2', 'source_level': 1260, 'target_conrey_index': 541, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022834748359916, 'target_is_minimal': True, 'target_label': '1260.2.s.g.541.2', 'target_level': 1260, 'twist_class_label': '1260.2.s.g.361.2', 'twist_class_level': 1260, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46401565
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 541, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526434375730412, 'source_is_minimal': True, 'source_label': '1260.2.s.h.541.2', 'source_level': 1260, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 175640385501012596, 'target_is_minimal': False, 'target_label': '8820.2.a.bn.1.2', 'target_level': 8820, 'twist_class_label': '1260.2.s.g.361.2', 'twist_class_level': 1260, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46401566
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 541, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526434375730412, 'source_is_minimal': True, 'source_label': '1260.2.s.h.541.2', 'source_level': 1260, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526434375730412, 'target_is_minimal': True, 'target_label': '1260.2.s.h.361.2', 'target_level': 1260, 'twist_class_label': '1260.2.s.g.361.2', 'twist_class_level': 1260, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46401567
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 541, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526434375730412, 'source_is_minimal': True, 'source_label': '1260.2.s.h.541.2', 'source_level': 1260, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 184647584755753588, 'target_is_minimal': False, 'target_label': '8820.2.a.bp.1.2', 'target_level': 8820, 'twist_class_label': '1260.2.s.g.361.2', 'twist_class_level': 1260, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46401568
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 541, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526434375730412, 'source_is_minimal': True, 'source_label': '1260.2.s.h.541.2', 'source_level': 1260, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 189151184383124084, 'target_is_minimal': False, 'target_label': '8820.2.a.bq.1.2', 'target_level': 8820, 'twist_class_label': '1260.2.s.g.361.2', 'twist_class_level': 1260, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46401569
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 541, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526434375730412, 'source_is_minimal': True, 'source_label': '1260.2.s.h.541.2', 'source_level': 1260, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 180143985128383092, 'target_is_minimal': False, 'target_label': '8820.2.a.bo.1.2', 'target_level': 8820, 'twist_class_label': '1260.2.s.g.361.2', 'twist_class_level': 1260, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46401570
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 541, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31526434375730412, 'source_is_minimal': True, 'source_label': '1260.2.s.h.541.2', 'source_level': 1260, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022834748359916, 'target_is_minimal': True, 'target_label': '1260.2.s.g.361.2', 'target_level': 1260, 'twist_class_label': '1260.2.s.g.361.2', 'twist_class_level': 1260, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1806650
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 31526434375730412, 'p': 2}
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id: 1806651
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 31526434375730412, 'p': 3}
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id: 1806652
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 31526434375730412, 'p': 5}
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id: 1806653
{'charpoly_factorization': [[[343, 49, 14, -23, 2, 1, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 7}
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id: 1806654
{'charpoly_factorization': [[[324, 324, 288, 72, 22, -2, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 11}
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id: 1806655
{'charpoly_factorization': [[[3, -11, 5, 1], 2]], 'hecke_orbit_code': 31526434375730412, 'p': 13}
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id: 1806656
{'charpoly_factorization': [[[324, -432, 540, -84, 28, 2, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 17}
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id: 1806657
{'charpoly_factorization': [[[441, 357, 310, 25, 18, 1, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 19}
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id: 1806658
{'charpoly_factorization': [[[26244, 5832, 2268, 108, 72, 6, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 23}
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id: 1806659
{'charpoly_factorization': [[[378, -18, -12, 1], 2]], 'hecke_orbit_code': 31526434375730412, 'p': 29}
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id: 1806660
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 31526434375730412, 'p': 31}
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id: 1806661
{'charpoly_factorization': [[[36481, -4011, 2160, -193, 102, -9, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 37}
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id: 1806662
{'charpoly_factorization': [[[-774, -78, 10, 1], 2]], 'hecke_orbit_code': 31526434375730412, 'p': 41}
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id: 1806663
{'charpoly_factorization': [[[-43, -25, 1, 1], 2]], 'hecke_orbit_code': 31526434375730412, 'p': 43}
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id: 1806664
{'charpoly_factorization': [[[5184, -2592, 2016, 216, 136, -10, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 47}
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id: 1806665
{'charpoly_factorization': [[[20736, -13824, 8640, -672, 112, 4, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 53}
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id: 1806666
{'charpoly_factorization': [[[324, 1188, 4068, 1020, 190, 16, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 59}
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id: 1806667
{'charpoly_factorization': [[[16, -64, 248, -40, 20, 2, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 61}
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id: 1806668
{'charpoly_factorization': [[[9, 33, 106, 61, 36, -5, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 67}
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id: 1806669
{'charpoly_factorization': [[[-198, 114, -20, 1], 2]], 'hecke_orbit_code': 31526434375730412, 'p': 71}
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id: 1806670
{'charpoly_factorization': [[[1681, 1107, 1344, -487, 198, -15, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 73}
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id: 1806671
{'charpoly_factorization': [[[2111209, -158377, 30770, -1489, 278, -13, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 79}
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id: 1806672
{'charpoly_factorization': [[[-522, -156, -2, 1], 2]], 'hecke_orbit_code': 31526434375730412, 'p': 83}
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id: 1806673
{'charpoly_factorization': [[[15876, -21924, 30528, 96, 178, -2, 1], 1]], 'hecke_orbit_code': 31526434375730412, 'p': 89}
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id: 1806674
{'charpoly_factorization': [[[-116, -24, 12, 1], 2]], 'hecke_orbit_code': 31526434375730412, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 19, 'hecke_orbit': 8, 'label': '1260.2.s.h', 'level': 1260, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50216839
{'hecke_orbit_code': 31526434375730412, 'n': 1, 'trace_an': 6}
-
id: 50216840
{'hecke_orbit_code': 31526434375730412, 'n': 2, 'trace_an': 0}
-
id: 50216841
{'hecke_orbit_code': 31526434375730412, 'n': 3, 'trace_an': 0}
-
id: 50216842
{'hecke_orbit_code': 31526434375730412, 'n': 4, 'trace_an': 0}
-
id: 50216843
{'hecke_orbit_code': 31526434375730412, 'n': 5, 'trace_an': 3}
-
id: 50216844
{'hecke_orbit_code': 31526434375730412, 'n': 6, 'trace_an': 0}
-
id: 50216845
{'hecke_orbit_code': 31526434375730412, 'n': 7, 'trace_an': -1}
-
id: 50216846
{'hecke_orbit_code': 31526434375730412, 'n': 8, 'trace_an': 0}
-
id: 50216847
{'hecke_orbit_code': 31526434375730412, 'n': 9, 'trace_an': 0}
-
id: 50216848
{'hecke_orbit_code': 31526434375730412, 'n': 10, 'trace_an': 0}
-
id: 50216849
{'hecke_orbit_code': 31526434375730412, 'n': 11, 'trace_an': 2}
-
id: 50216850
{'hecke_orbit_code': 31526434375730412, 'n': 12, 'trace_an': 0}
-
id: 50216851
{'hecke_orbit_code': 31526434375730412, 'n': 13, 'trace_an': -10}
-
id: 50216852
{'hecke_orbit_code': 31526434375730412, 'n': 14, 'trace_an': 0}
-
id: 50216853
{'hecke_orbit_code': 31526434375730412, 'n': 15, 'trace_an': 0}
-
id: 50216854
{'hecke_orbit_code': 31526434375730412, 'n': 16, 'trace_an': 0}
-
id: 50216855
{'hecke_orbit_code': 31526434375730412, 'n': 17, 'trace_an': -2}
-
id: 50216856
{'hecke_orbit_code': 31526434375730412, 'n': 18, 'trace_an': 0}
-
id: 50216857
{'hecke_orbit_code': 31526434375730412, 'n': 19, 'trace_an': -1}
-
id: 50216858
{'hecke_orbit_code': 31526434375730412, 'n': 20, 'trace_an': 0}
-
id: 50216859
{'hecke_orbit_code': 31526434375730412, 'n': 21, 'trace_an': 0}
-
id: 50216860
{'hecke_orbit_code': 31526434375730412, 'n': 22, 'trace_an': 0}
-
id: 50216861
{'hecke_orbit_code': 31526434375730412, 'n': 23, 'trace_an': -6}
-
id: 50216862
{'hecke_orbit_code': 31526434375730412, 'n': 24, 'trace_an': 0}
-
id: 50216863
{'hecke_orbit_code': 31526434375730412, 'n': 25, 'trace_an': -3}
-
id: 50216864
{'hecke_orbit_code': 31526434375730412, 'n': 26, 'trace_an': 0}
-
id: 50216865
{'hecke_orbit_code': 31526434375730412, 'n': 27, 'trace_an': 0}
-
id: 50216866
{'hecke_orbit_code': 31526434375730412, 'n': 28, 'trace_an': 0}
-
id: 50216867
{'hecke_orbit_code': 31526434375730412, 'n': 29, 'trace_an': 24}
-
id: 50216868
{'hecke_orbit_code': 31526434375730412, 'n': 30, 'trace_an': 0}
-
id: 50216869
{'hecke_orbit_code': 31526434375730412, 'n': 31, 'trace_an': 3}
-
id: 50216870
{'hecke_orbit_code': 31526434375730412, 'n': 32, 'trace_an': 0}
-
id: 50216871
{'hecke_orbit_code': 31526434375730412, 'n': 33, 'trace_an': 0}
-
id: 50216872
{'hecke_orbit_code': 31526434375730412, 'n': 34, 'trace_an': 0}
-
id: 50216873
{'hecke_orbit_code': 31526434375730412, 'n': 35, 'trace_an': 1}
-
id: 50216874
{'hecke_orbit_code': 31526434375730412, 'n': 36, 'trace_an': 0}
-
id: 50216875
{'hecke_orbit_code': 31526434375730412, 'n': 37, 'trace_an': 9}
-
id: 50216876
{'hecke_orbit_code': 31526434375730412, 'n': 38, 'trace_an': 0}
-
id: 50216877
{'hecke_orbit_code': 31526434375730412, 'n': 39, 'trace_an': 0}
-
id: 50216878
{'hecke_orbit_code': 31526434375730412, 'n': 40, 'trace_an': 0}
-
id: 50216879
{'hecke_orbit_code': 31526434375730412, 'n': 41, 'trace_an': -20}
-
id: 50216880
{'hecke_orbit_code': 31526434375730412, 'n': 42, 'trace_an': 0}
-
id: 50216881
{'hecke_orbit_code': 31526434375730412, 'n': 43, 'trace_an': -2}
-
id: 50216882
{'hecke_orbit_code': 31526434375730412, 'n': 44, 'trace_an': 0}
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