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{'Nk2': 32064, 'analytic_conductor': 64.00808226025836, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [167, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8016, 1, [3007, 2005, 5345, 673], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 12, 'field_disc': 107147381080216806322496, 'field_disc_factorization': [[2, 6], [161543, 1], [10363666821703123, 1]], 'field_poly': [3008, 6960, -2450, -11022, 1411, 6350, -1072, -1453, 309, 131, -31, -4, 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, [3008, 6960, -2450, -11022, 1411, 6350, -1072, -1453, 309, 131, -31, -4, 1]], [7, [-27584, -4416, 57280, 11176, -36387, -8480, 8707, 2618, -719, -297, 6, 11, 1]], [11, [128, -2624, 7728, 32848, 3892, -22660, -6648, 4085, 1567, -130, -75, 1, 1]], [13, [55424, 196480, 19496, -206112, -32028, 71278, 3618, -10279, 554, 520, -53, -8, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482047824, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8016.2.a.bf', 'level': 8016, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 167], 'level_radical': 1002, 'minimal_twist': '4008.2.a.l', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+\\beta _{1}q^{5}+(-1+\\beta _{9})q^{7}+q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8016.2.a', 'trace_display': [0, -12, 4, -11], 'trace_hash': 1938655968873429798, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.513', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '278.960', 'prec': 24}, {'__RealLiteral__': 0, 'data': '122.090', 'prec': 24}, {'__RealLiteral__': 0, 'data': '13700.667', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [12, 0, -12, 0, 4, 0, -11, 0, 12, 0, -1, 0, 8, 0, -4, 0, 3, 0, -12, 0, 11, 0, -7, 0, 18, 0, -12, 0, 5, 0, -33, 0, 1, 0, -15, 0, 8, 0, -8, 0, -6, 0, -16, 0, 4, 0, -18, 0, 25, 0, -3, 0, 20, 0, -39, 0, 12, 0, -4, 0, 10, 0, -11, 0, 0, 0, -9, 0, 7, 0, -11, 0, 22, 0, -18, 0, 24, 0, -56, 0, 12, 0, -26, 0, 15, 0, -5, 0, -15, 0, -11, 0, 33, 0, -3, 0, 8, 0, -1, 0, 1, 0, -35, 0, 15, 0, 10, 0, 18, 0, -8, 0, -3, 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{'AL_dims': [[[[2, 1], [3, 1], [167, 1]], 19, 4], [[[2, -1], [3, -1], [167, -1]], 23, 5], [[[2, -1], [3, 1], [167, 1]], 23, 5], [[[2, 1], [3, -1], [167, -1]], 18, 3], [[[2, -1], [3, -1], [167, 1]], 19, 6], [[[2, -1], [3, 1], [167, -1]], 19, 4], [[[2, 1], [3, -1], [167, 1]], 22, 3], [[[2, 1], [3, 1], [167, -1]], 23, 3]], 'ALdims': [19, 23, 22, 18, 23, 19, 19, 23], 'Nk2': 32064, 'analytic_conductor': 64.00808226025836, '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': [8016, 1, [3007, 2005, 5345, 673], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1333, 'dim': 166, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 13], 'hecke_orbit_code': 33562448, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 7, 7, 8, 8, 8, 9, 9, 9, 10, 11, 12, 13], 'label': '8016.2.a', 'level': 8016, 'level_is_prime': False, 'level_is_prime_power': False, 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mf_twists_cc • Show schema
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id: 48765739
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 7, 'source_hecke_orbit_code': 139611588482047824, 'source_is_minimal': False, 'source_label': '8016.2.a.bf.1.7', 'source_level': 8016, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 139611588482047824, 'target_is_minimal': False, 'target_label': '8016.2.a.bf.1.7', 'target_level': 8016, 'twist_class_label': '4008.2.a.l.1.7', 'twist_class_level': 4008, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48765740
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 7, 'source_hecke_orbit_code': 139611588482047824, 'source_is_minimal': False, 'source_label': '8016.2.a.bf.1.7', 'source_level': 8016, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 49539595934633896, 'target_is_minimal': True, 'target_label': '4008.2.a.l.1.7', 'target_level': 4008, 'twist_class_label': '4008.2.a.l.1.7', 'twist_class_level': 4008, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4636150
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 139611588482047824, 'p': 2}
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id: 4636151
{'charpoly_factorization': [[[1, 1], 12]], 'hecke_orbit_code': 139611588482047824, 'p': 3}
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id: 4636152
{'charpoly_factorization': [[[3008, 6960, -2450, -11022, 1411, 6350, -1072, -1453, 309, 131, -31, -4, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 5}
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id: 4636153
{'charpoly_factorization': [[[-27584, -4416, 57280, 11176, -36387, -8480, 8707, 2618, -719, -297, 6, 11, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 7}
-
id: 4636154
{'charpoly_factorization': [[[128, -2624, 7728, 32848, 3892, -22660, -6648, 4085, 1567, -130, -75, 1, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 11}
-
id: 4636155
{'charpoly_factorization': [[[55424, 196480, 19496, -206112, -32028, 71278, 3618, -10279, 554, 520, -53, -8, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 13}
-
id: 4636156
{'charpoly_factorization': [[[81616, -244208, -205104, 290676, 257152, -8740, -41912, -2539, 2797, 174, -86, -3, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 17}
-
id: 4636157
{'charpoly_factorization': [[[-93568, -51264, 406512, -41936, -241268, -14300, 51262, 11965, -1996, -834, -29, 12, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 19}
-
id: 4636158
{'charpoly_factorization': [[[1079296, -1665024, -1210784, 1847344, 251452, -383720, -40600, 28589, 3339, -830, -109, 7, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 23}
-
id: 4636159
{'charpoly_factorization': [[[-2048, -22784, -7504, 70928, -19092, -62052, 54808, -15753, 259, 656, -83, -5, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 29}
-
id: 4636160
{'charpoly_factorization': [[[160663936, 91990592, -29585656, -24345676, 217279, 2291837, 259896, -82262, -18067, 200, 343, 33, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 31}
-
id: 4636161
{'charpoly_factorization': [[[1249349168, -1458605944, 536532766, 1727906, -47666953, 9694332, 299530, -274891, 15793, 2599, -245, -8, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 37}
-
id: 4636162
{'charpoly_factorization': [[[59055712, -13948528, -47274232, 10168300, 10475880, -1442992, -821398, 68851, 22008, -1133, -246, 6, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 41}
-
id: 4636163
{'charpoly_factorization': [[[-142411744, -51049280, 99421864, 40779544, -12043544, -5996450, 159952, 226967, 6466, -3255, -164, 16, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 43}
-
id: 4636164
{'charpoly_factorization': [[[-1855943024, -780806448, 314932120, 138711632, -18162719, -8988353, 342126, 267533, 2607, -3646, -139, 18, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 47}
-
id: 4636165
{'charpoly_factorization': [[[7459216, -5195768, -11501118, 12148252, -28389, -3788159, 1507904, -160191, -16971, 4028, -87, -20, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 53}
-
id: 4636166
{'charpoly_factorization': [[[-176553400, 471215240, -206966634, -62797200, 40150991, 1046749, -1986634, 29775, 39317, -760, -331, 4, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 59}
-
id: 4636167
{'charpoly_factorization': [[[-116056064, -205426688, -100137728, 12647488, 20053904, 2250156, -1013844, -144653, 24004, 2554, -287, -10, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 61}
-
id: 4636168
{'charpoly_factorization': [[[1073105416, 3789880328, 4010995022, 1115490136, -39218219, -49334011, -2872785, 721784, 62907, -4326, -440, 9, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 67}
-
id: 4636169
{'charpoly_factorization': [[[23931793408, 17467926016, -11106224800, 173391024, 486189644, -26881220, -9026512, 524213, 88117, -4003, -456, 11, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 71}
-
id: 4636170
{'charpoly_factorization': [[[63085376, -344315840, -68888064, 318061488, -136705900, 10214036, 4378594, -752301, -11352, 7974, -243, -22, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 73}
-
id: 4636171
{'charpoly_factorization': [[[-3173513344, -5387737856, 1009853408, 3498430940, 1514497528, 244047372, 6410204, -2609285, -287860, -4365, 912, 56, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 79}
-
id: 4636172
{'charpoly_factorization': [[[-56792, -20939744, -38205282, -19564864, 1708011, 3987371, 802458, -123691, -58989, -6068, -23, 26, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 83}
-
id: 4636173
{'charpoly_factorization': [[[40701142672, -314986730160, 3967336696, 23975765576, 1058203789, -464698763, -26800211, 3632976, 228397, -12308, -804, 15, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 89}
-
id: 4636174
{'charpoly_factorization': [[[-1191476768, 4437831376, -3788686444, -736952288, 314841295, 29055868, -8732123, -466947, 104421, 3275, -542, -8, 1], 1]], 'hecke_orbit_code': 139611588482047824, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '8016.2.a.bf', 'level': 8016, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 267088000
{'hecke_orbit_code': 139611588482047824, 'n': 1, 'trace_an': 12}
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id: 267088001
{'hecke_orbit_code': 139611588482047824, 'n': 2, 'trace_an': 0}
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id: 267088002
{'hecke_orbit_code': 139611588482047824, 'n': 3, 'trace_an': -12}
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id: 267088003
{'hecke_orbit_code': 139611588482047824, 'n': 4, 'trace_an': 0}
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id: 267088004
{'hecke_orbit_code': 139611588482047824, 'n': 5, 'trace_an': 4}
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id: 267088005
{'hecke_orbit_code': 139611588482047824, 'n': 6, 'trace_an': 0}
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id: 267088006
{'hecke_orbit_code': 139611588482047824, 'n': 7, 'trace_an': -11}
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id: 267088007
{'hecke_orbit_code': 139611588482047824, 'n': 8, 'trace_an': 0}
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id: 267088008
{'hecke_orbit_code': 139611588482047824, 'n': 9, 'trace_an': 12}
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id: 267088009
{'hecke_orbit_code': 139611588482047824, 'n': 10, 'trace_an': 0}
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id: 267088010
{'hecke_orbit_code': 139611588482047824, 'n': 11, 'trace_an': -1}
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id: 267088011
{'hecke_orbit_code': 139611588482047824, 'n': 12, 'trace_an': 0}
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id: 267088012
{'hecke_orbit_code': 139611588482047824, 'n': 13, 'trace_an': 8}
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id: 267088013
{'hecke_orbit_code': 139611588482047824, 'n': 14, 'trace_an': 0}
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id: 267088014
{'hecke_orbit_code': 139611588482047824, 'n': 15, 'trace_an': -4}
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id: 267088015
{'hecke_orbit_code': 139611588482047824, 'n': 16, 'trace_an': 0}
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id: 267088016
{'hecke_orbit_code': 139611588482047824, 'n': 17, 'trace_an': 3}
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id: 267088017
{'hecke_orbit_code': 139611588482047824, 'n': 18, 'trace_an': 0}
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id: 267088018
{'hecke_orbit_code': 139611588482047824, 'n': 19, 'trace_an': -12}
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id: 267088019
{'hecke_orbit_code': 139611588482047824, 'n': 20, 'trace_an': 0}
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id: 267088020
{'hecke_orbit_code': 139611588482047824, 'n': 21, 'trace_an': 11}
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id: 267088021
{'hecke_orbit_code': 139611588482047824, 'n': 22, 'trace_an': 0}
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id: 267088022
{'hecke_orbit_code': 139611588482047824, 'n': 23, 'trace_an': -7}
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id: 267088023
{'hecke_orbit_code': 139611588482047824, 'n': 24, 'trace_an': 0}
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id: 267088024
{'hecke_orbit_code': 139611588482047824, 'n': 25, 'trace_an': 18}
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id: 267088025
{'hecke_orbit_code': 139611588482047824, 'n': 26, 'trace_an': 0}
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id: 267088999
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