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mf_newforms • Show schema
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{'Nk2': 3328, 'analytic_conductor': 6.643553448170528, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [832, 2, [703, 261, 769], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 417, 'dim': 8, 'field_disc': 195105024, 'field_disc_factorization': [[2, 8], [3, 4], [97, 2]], 'field_poly': [81, -108, 45, 12, -20, 4, 5, -4, 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, 120, 0, 89, 0, 18, 0, 1]], [7, [-2, -18, -13, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510867635143488, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 64, 'hecke_ring_index_factorization': [[2, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3328, 'analytic_conductor': 6.643553448170528, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [832, 2, [703, 261, 769], [2, 1, 2]], 'conrey_index': 417, 'cusp_dim': 100, 'dim': 24, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 68753032000, 'hecke_orbit_dims': [4, 4, 8, 8], 'label': '832.2.b', 'level': 832, '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, 13], 'level_radical': 26, 'mf_dim': 124, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 24, 'sturm_bound': 224, 'trace_bound': 15, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43011450
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867635143488, 'source_is_minimal': True, 'source_label': '832.2.b.d.417.3', 'source_level': 832, 'target_conrey_index': 417, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510867635143488, 'target_is_minimal': True, 'target_label': '832.2.b.d.417.3', 'target_level': 832, 'twist_class_label': '832.2.b.c.417.3', 'twist_class_level': 832, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43011451
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867635143488, 'source_is_minimal': True, 'source_label': '832.2.b.d.417.3', 'source_level': 832, 'target_conrey_index': 417, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007268007772992, 'target_is_minimal': True, 'target_label': '832.2.b.c.417.6', 'target_level': 832, 'twist_class_label': '832.2.b.c.417.3', 'twist_class_level': 832, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43011452
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867635143488, 'source_is_minimal': True, 'source_label': '832.2.b.d.417.3', 'source_level': 832, 'target_conrey_index': 417, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007268007772992, 'target_is_minimal': True, 'target_label': '832.2.b.c.417.3', 'target_level': 832, 'twist_class_label': '832.2.b.c.417.3', 'twist_class_level': 832, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43011453
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867635143488, 'source_is_minimal': True, 'source_label': '832.2.b.d.417.3', 'source_level': 832, 'target_conrey_index': 417, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13510867635143488, 'target_is_minimal': True, 'target_label': '832.2.b.d.417.6', 'target_level': 832, 'twist_class_label': '832.2.b.c.417.3', 'twist_class_level': 832, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43011454
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867635143488, 'source_is_minimal': True, 'source_label': '832.2.b.d.417.3', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 157625986991525120, 'target_is_minimal': False, 'target_label': '3328.2.a.bj.1.2', 'target_level': 3328, 'twist_class_label': '832.2.b.c.417.3', 'twist_class_level': 832, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43011455
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867635143488, 'source_is_minimal': True, 'source_label': '832.2.b.d.417.3', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 153122387364154624, 'target_is_minimal': False, 'target_label': '3328.2.a.bi.1.2', 'target_level': 3328, 'twist_class_label': '832.2.b.c.417.3', 'twist_class_level': 832, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43011456
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867635143488, 'source_is_minimal': True, 'source_label': '832.2.b.d.417.3', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 171136785873636608, 'target_is_minimal': False, 'target_label': '3328.2.a.bm.1.3', 'target_level': 3328, 'twist_class_label': '832.2.b.c.417.3', 'twist_class_level': 832, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43011457
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867635143488, 'source_is_minimal': True, 'source_label': '832.2.b.d.417.3', 'source_level': 832, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 175640385501007104, 'target_is_minimal': False, 'target_label': '3328.2.a.bn.1.3', 'target_level': 3328, 'twist_class_label': '832.2.b.c.417.3', 'twist_class_level': 832, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1383275
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13510867635143488, 'p': 2}
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id: 1383276
{'charpoly_factorization': [[[16, 0, 120, 0, 89, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 13510867635143488, 'p': 3}
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id: 1383277
{'charpoly_factorization': [[[16, 0, 120, 0, 89, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 13510867635143488, 'p': 5}
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id: 1383278
{'charpoly_factorization': [[[-2, -18, -13, 0, 1], 2]], 'hecke_orbit_code': 13510867635143488, 'p': 7}
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id: 1383279
{'charpoly_factorization': [[[256, 0, 384, 0, 164, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 13510867635143488, 'p': 11}
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id: 1383280
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 13510867635143488, 'p': 13}
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id: 1383281
{'charpoly_factorization': [[[-104, -148, -39, 2, 1], 2]], 'hecke_orbit_code': 13510867635143488, 'p': 17}
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id: 1383282
{'charpoly_factorization': [[[4096, 0, 25088, 0, 3012, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 13510867635143488, 'p': 19}
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id: 1383283
{'charpoly_factorization': [[[-128, -192, 8, 12, 1], 2]], 'hecke_orbit_code': 13510867635143488, 'p': 23}
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id: 1383284
{'charpoly_factorization': [[[1401856, 0, 196608, 0, 9296, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 13510867635143488, 'p': 29}
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id: 1383285
{'charpoly_factorization': [[[-1472, 592, -34, -10, 1], 2]], 'hecke_orbit_code': 13510867635143488, 'p': 31}
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id: 1383286
{'charpoly_factorization': [[[583696, 0, 98824, 0, 5721, 0, 130, 0, 1], 1]], 'hecke_orbit_code': 13510867635143488, 'p': 37}
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id: 1383287
{'charpoly_factorization': [[[-368, -16, 104, -20, 1], 2]], 'hecke_orbit_code': 13510867635143488, 'p': 41}
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id: 1383288
{'charpoly_factorization': [[[190096, 0, 73704, 0, 8201, 0, 210, 0, 1], 1]], 'hecke_orbit_code': 13510867635143488, 'p': 43}
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id: 1383289
{'charpoly_factorization': [[[-194, -194, 123, -20, 1], 2]], 'hecke_orbit_code': 13510867635143488, 'p': 47}
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id: 1383290
{'charpoly_factorization': [[[16384, 0, 43008, 0, 9536, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 13510867635143488, 'p': 53}
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id: 1383291
{'charpoly_factorization': [[[33856, 0, 12640, 0, 1428, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 13510867635143488, 'p': 59}
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id: 1383292
{'charpoly_factorization': [[[331776, 0, 207360, 0, 12816, 0, 216, 0, 1], 1]], 'hecke_orbit_code': 13510867635143488, 'p': 61}
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id: 1383293
{'charpoly_factorization': [[[64, 0, 8096, 0, 6036, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 13510867635143488, 'p': 67}
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id: 1383294
{'charpoly_factorization': [[[1366, 1030, 267, 28, 1], 2]], 'hecke_orbit_code': 13510867635143488, 'p': 71}
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id: 1383295
{'charpoly_factorization': [[[5584, -608, -136, 8, 1], 2]], 'hecke_orbit_code': 13510867635143488, 'p': 73}
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id: 1383296
{'charpoly_factorization': [[[-32, 112, -4, -16, 1], 2]], 'hecke_orbit_code': 13510867635143488, 'p': 79}
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id: 1383297
{'charpoly_factorization': [[[760384, 0, 183456, 0, 12788, 0, 288, 0, 1], 1]], 'hecke_orbit_code': 13510867635143488, 'p': 83}
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id: 1383298
{'charpoly_factorization': [[[64, -32, -28, 8, 1], 2]], 'hecke_orbit_code': 13510867635143488, 'p': 89}
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id: 1383299
{'charpoly_factorization': [[[-32, 112, 92, 20, 1], 2]], 'hecke_orbit_code': 13510867635143488, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 4, 'label': '832.2.b.d', 'level': 832, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 35814505
{'hecke_orbit_code': 13510867635143488, 'n': 1, 'trace_an': 8}
-
id: 35814506
{'hecke_orbit_code': 13510867635143488, 'n': 2, 'trace_an': 0}
-
id: 35814507
{'hecke_orbit_code': 13510867635143488, 'n': 3, 'trace_an': 0}
-
id: 35814508
{'hecke_orbit_code': 13510867635143488, 'n': 4, 'trace_an': 0}
-
id: 35814509
{'hecke_orbit_code': 13510867635143488, 'n': 5, 'trace_an': 0}
-
id: 35814510
{'hecke_orbit_code': 13510867635143488, 'n': 6, 'trace_an': 0}
-
id: 35814511
{'hecke_orbit_code': 13510867635143488, 'n': 7, 'trace_an': 0}
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id: 35814512
{'hecke_orbit_code': 13510867635143488, 'n': 8, 'trace_an': 0}
-
id: 35814513
{'hecke_orbit_code': 13510867635143488, 'n': 9, 'trace_an': -12}
-
id: 35814514
{'hecke_orbit_code': 13510867635143488, 'n': 10, 'trace_an': 0}
-
id: 35814515
{'hecke_orbit_code': 13510867635143488, 'n': 11, 'trace_an': 0}
-
id: 35814516
{'hecke_orbit_code': 13510867635143488, 'n': 12, 'trace_an': 0}
-
id: 35814517
{'hecke_orbit_code': 13510867635143488, 'n': 13, 'trace_an': 0}
-
id: 35814518
{'hecke_orbit_code': 13510867635143488, 'n': 14, 'trace_an': 0}
-
id: 35814519
{'hecke_orbit_code': 13510867635143488, 'n': 15, 'trace_an': 36}
-
id: 35814520
{'hecke_orbit_code': 13510867635143488, 'n': 16, 'trace_an': 0}
-
id: 35814521
{'hecke_orbit_code': 13510867635143488, 'n': 17, 'trace_an': -4}
-
id: 35814522
{'hecke_orbit_code': 13510867635143488, 'n': 18, 'trace_an': 0}
-
id: 35814523
{'hecke_orbit_code': 13510867635143488, 'n': 19, 'trace_an': 0}
-
id: 35814524
{'hecke_orbit_code': 13510867635143488, 'n': 20, 'trace_an': 0}
-
id: 35814525
{'hecke_orbit_code': 13510867635143488, 'n': 21, 'trace_an': 0}
-
id: 35814526
{'hecke_orbit_code': 13510867635143488, 'n': 22, 'trace_an': 0}
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