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{'Nk2': 24168, 'analytic_conductor': 48.24561290125761, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [19, 1], [53, 1]], 'atkin_lehner_string': '+-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6042, 1, [2015, 4771, 2281], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 9, 'field_disc': 642149812828621, 'field_disc_factorization': [[642149812828621, 1]], 'field_poly': [199, -595, 459, 182, -360, 76, 62, -25, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-600, 1196, 898, -999, -401, 272, 57, -30, -2, 1]], [7, [-960, -6088, 149, 4510, -1110, -654, 256, 2, -10, 1]], [11, [8192, 22016, 8384, -6120, -2772, 620, 245, -36, -7, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345193370, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '6042.2.a.ba', 'level': 6042, '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': True, 'level_primes': [2, 3, 19, 53], 'level_radical': 6042, 'minimal_twist': '6042.2.a.ba', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+\\beta _{6}q^{5}-q^{6}+(1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6042.2.a', 'trace_display': [-9, 9, 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-0.24326125231842602, -0.08885548449002754, -0.22709507014378352, -0.17920252613176588, -0.2195352575102392], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.36789559638598, 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345193370, 'label': '6042.2.a.ba.1.3', 'level': 6042, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [12, 9, 6, 12, 11, 8, 7, 13, 10, 9, 11, 9, 7, 14, 14, 5], 'Nk2': 24168, 'analytic_conductor': 48.24561290125761, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6042, 1, [2015, 4771, 2281], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1073, 'dim': 157, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33560474, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 5, 6, 6, 6, 7, 9, 9, 9, 9, 11, 12, 12, 12, 13], 'label': '6042.2.a', 'level': 6042, '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': True, 'level_primes': [2, 3, 19, 53], 'level_radical': 6042, 'mf_dim': 1088, 'mf_new_dim': 157, 'num_forms': 34, 'plus_dim': 71, 'prim_orbit_index': 1, 'relative_dim': 157, 'sturm_bound': 2160, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590345193370, 'source_is_minimal': True, 'source_label': '6042.2.a.ba.1.3', 'source_level': 6042, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 3, 'target_hecke_orbit_code': 117093590345193370, 'target_is_minimal': True, 'target_label': '6042.2.a.ba.1.3', 'target_level': 6042, 'twist_class_label': '6042.2.a.ba.1.3', 'twist_class_level': 6042, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4072425
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 117093590345193370, 'p': 2}
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id: 4072426
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 117093590345193370, 'p': 3}
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id: 4072427
{'charpoly_factorization': [[[-600, 1196, 898, -999, -401, 272, 57, -30, -2, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 5}
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id: 4072428
{'charpoly_factorization': [[[-960, -6088, 149, 4510, -1110, -654, 256, 2, -10, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 7}
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id: 4072429
{'charpoly_factorization': [[[8192, 22016, 8384, -6120, -2772, 620, 245, -36, -7, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 11}
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id: 4072430
{'charpoly_factorization': [[[-36, 520, 689, -740, -664, 308, 144, -50, -2, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 13}
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id: 4072431
{'charpoly_factorization': [[[3252, 6668, 357, -4332, -880, 860, 146, -58, -4, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 17}
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id: 4072432
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 117093590345193370, 'p': 19}
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id: 4072433
{'charpoly_factorization': [[[-357376, -185088, 114352, 39760, -16772, -1738, 891, -8, -15, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 23}
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id: 4072434
{'charpoly_factorization': [[[26588, -50920, 24607, 6689, -7483, 837, 406, -72, -5, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 29}
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id: 4072435
{'charpoly_factorization': [[[7808, 27712, 14840, -14324, -2712, 1909, 106, -81, -1, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 31}
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id: 4072436
{'charpoly_factorization': [[[1718148, 701096, -338289, -118648, 21854, 6418, -526, -138, 4, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 37}
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id: 4072437
{'charpoly_factorization': [[[-232, -1356, 2418, 447, -1688, 190, 271, -54, -5, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 41}
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id: 4072438
{'charpoly_factorization': [[[-6097408, -2983808, 673824, 358008, -41184, -13546, 1697, 138, -27, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 43}
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id: 4072439
{'charpoly_factorization': [[[90048, -389848, 366875, -63971, -28472, 8117, 301, -171, 0, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 47}
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id: 4072440
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 117093590345193370, 'p': 53}
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id: 4072441
{'charpoly_factorization': [[[13191536, -30699860, 14485993, -747173, -411991, 40309, 3184, -380, -7, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 59}
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id: 4072442
{'charpoly_factorization': [[[-5851948, 1240444, 1046723, -217407, -56417, 11483, 970, -198, -5, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 61}
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id: 4072443
{'charpoly_factorization': [[[-1147392, -81280, 529056, 80152, -42992, -3758, 1535, 4, -19, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 67}
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id: 4072444
{'charpoly_factorization': [[[38653440, -1979584, -6575480, -69532, 322448, 23355, -3490, -305, 11, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 71}
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id: 4072445
{'charpoly_factorization': [[[9370624, -6149408, -2693968, 1766992, -186568, -25650, 4891, -40, -25, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 73}
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id: 4072446
{'charpoly_factorization': [[[3744512, 19039120, -15169760, 3391371, -69901, -64222, 6993, -14, -28, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 79}
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id: 4072447
{'charpoly_factorization': [[[825370800, 150321476, -38733619, -6268056, 635328, 89920, -4086, -526, 8, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 83}
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id: 4072448
{'charpoly_factorization': [[[-22852800, 34499232, -19429152, 4839496, -404080, -35392, 7429, -185, -22, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 89}
-
id: 4072449
{'charpoly_factorization': [[[-120320, -290816, 528288, -65976, -64172, 7222, 2121, -188, -13, 1], 1]], 'hecke_orbit_code': 117093590345193370, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '6042.2.a.ba', 'level': 6042, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67261867
{'hecke_orbit_code': 117093590345193370, 'n': 1, 'trace_an': 9}
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id: 67261868
{'hecke_orbit_code': 117093590345193370, 'n': 2, 'trace_an': -9}
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id: 67261869
{'hecke_orbit_code': 117093590345193370, 'n': 3, 'trace_an': 9}
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id: 67261870
{'hecke_orbit_code': 117093590345193370, 'n': 4, 'trace_an': 9}
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id: 67261871
{'hecke_orbit_code': 117093590345193370, 'n': 5, 'trace_an': 2}
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id: 67261872
{'hecke_orbit_code': 117093590345193370, 'n': 6, 'trace_an': -9}
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id: 67261873
{'hecke_orbit_code': 117093590345193370, 'n': 7, 'trace_an': 10}
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id: 67261874
{'hecke_orbit_code': 117093590345193370, 'n': 8, 'trace_an': -9}
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id: 67261875
{'hecke_orbit_code': 117093590345193370, 'n': 9, 'trace_an': 9}
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id: 67261876
{'hecke_orbit_code': 117093590345193370, 'n': 10, 'trace_an': -2}
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id: 67261877
{'hecke_orbit_code': 117093590345193370, 'n': 11, 'trace_an': 7}
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id: 67261878
{'hecke_orbit_code': 117093590345193370, 'n': 12, 'trace_an': 9}
-
id: 67261879
{'hecke_orbit_code': 117093590345193370, 'n': 13, 'trace_an': 2}
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id: 67261880
{'hecke_orbit_code': 117093590345193370, 'n': 14, 'trace_an': -10}
-
id: 67261881
{'hecke_orbit_code': 117093590345193370, 'n': 15, 'trace_an': 2}
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id: 67261882
{'hecke_orbit_code': 117093590345193370, 'n': 16, 'trace_an': 9}
-
id: 67261883
{'hecke_orbit_code': 117093590345193370, 'n': 17, 'trace_an': 4}
-
id: 67261884
{'hecke_orbit_code': 117093590345193370, 'n': 18, 'trace_an': -9}
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id: 67261885
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