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{'Nk2': 16032, 'analytic_conductor': 32.00404113012918, 'analytic_rank': 0, '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': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4008, 1, [3007, 2005, 1337, 673], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 13, 'field_disc': 5422965743620527622426364096, 'field_disc_factorization': [[2, 6], [31, 1], [233, 1], [7517, 1], [1560611209249633529, 1]], 'field_poly': [12144, -72184, 112850, -14532, -72240, 26911, 16968, -7582, -1879, 901, 99, -49, -2, 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, [12144, -72184, 112850, -14532, -72240, 26911, 16968, -7582, -1879, 901, 99, -49, -2, 1]], [7, [-6016, -2176, 30480, -1584, -44740, 13575, 19342, -8413, -2082, 1147, 81, -58, -1, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562004392, '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': True, 'label': '4008.2.a.m', 'level': 4008, '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.m', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+\\beta _{1}q^{5}-\\beta _{9}q^{7}+q^{9}+(1+\\beta _{5}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 13, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': 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'weight_parity': 1}
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{'AL_dims': [[[[2, 1], [3, 1], [167, 1]], 10, 1], [[[2, -1], [3, -1], [167, -1]], 12, 1], [[[2, -1], [3, 1], [167, 1]], 8, 2], [[[2, 1], [3, -1], [167, -1]], 7, 3], [[[2, -1], [3, -1], [167, 1]], 9, 1], [[[2, -1], [3, 1], [167, -1]], 11, 2], [[[2, 1], [3, -1], [167, 1]], 14, 2], [[[2, 1], [3, 1], [167, -1]], 11, 1]], 'ALdims': [10, 11, 14, 7, 8, 11, 9, 12], 'Nk2': 16032, 'analytic_conductor': 32.00404113012918, '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': [4008, 1, [3007, 2005, 1337, 673], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 665, 'dim': 82, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33558440, 'hecke_orbit_dims': [1, 1, 1, 1, 3, 5, 7, 8, 9, 10, 11, 12, 13], 'label': '4008.2.a', 'level': 4008, '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, 'mf_dim': 680, 'mf_new_dim': 82, 'num_forms': 13, 'plus_dim': 37, 'prim_orbit_index': 1, 'relative_dim': 82, 'sturm_bound': 1344, 'trace_bound': 7, 'trace_display': [0, 2, 4, 0], 'traces': [82, 0, 2, 0, 4, 0, 0, 0, 82, 0, 0, 0, 8, 0, -4, 0, 4, 0, 16, 0, 0, 0, 16, 0, 86, 0, 2, 0, -4, 0, -8, 0, 8, 0, 24, 0, -8, 0, 4, 0, -4, 0, -4, 0, 4, 0, -8, 0, 82, 0, -8, 0, -12, 0, 16, 0, -8, 0, -8, 0, -20, 0, 0, 0, -32, 0, -28, 0, -8, 0, -8, 0, 12, 0, -2, 0, 0, 0, 24, 0, 82, 0, 16, 0, 24, 0, -4, 0, 4, 0, 8, 0, 16, 0, -32, 0, -4, 0, 0, 0, 20, 0, -40, 0, 24, 0, -8, 0, 48, 0, 28, 0, -4, 0, -8, 0, 8, 0, 40, 0, 50, 0, -24, 0, 0, 0, 0, 0, -4, 0, 32, 0, 24, 0, -4, 0, -12, 0, -12, 0, 16, 0, -40, 0, 16, 0, 2, 0, -20, 0, 56, 0, 4, 0, -48, 0, -12, 0, -20, 0, -64, 0, -4, 0, 16, 0, 0, 0, 102, 0, 16, 0, -44, 0, -32, 0, 12, 0, -40, 0, 36, 0, 4, 0, -96, 0, -48, 0, 0, 0, -8, 0, -12, 0, -16, 0, 4, 0, 0, 0, -4, 0, -64, 0, -8, 0, 16, 0, -8, 0, 64, 0, 24, 0, 88, 0, -8, 0, 28, 0, -40, 0, -56, 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mf_twists_cc • Show schema
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id: 47483893
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004392, 'source_is_minimal': True, 'source_label': '4008.2.a.m.1.1', 'source_level': 4008, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562004392, 'target_is_minimal': True, 'target_label': '4008.2.a.m.1.1', 'target_level': 4008, 'twist_class_label': '4008.2.a.m.1.1', 'twist_class_level': 4008, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47483894
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004392, 'source_is_minimal': True, 'source_label': '4008.2.a.m.1.1', 'source_level': 4008, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188109418320, 'target_is_minimal': False, 'target_label': '8016.2.a.bg.1.1', 'target_level': 8016, 'twist_class_label': '4008.2.a.m.1.1', '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: 3470100
{'charpoly_factorization': [[[0, 1], 13]], 'hecke_orbit_code': 54043195562004392, 'p': 2}
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id: 3470101
{'charpoly_factorization': [[[-1, 1], 13]], 'hecke_orbit_code': 54043195562004392, 'p': 3}
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id: 3470102
{'charpoly_factorization': [[[12144, -72184, 112850, -14532, -72240, 26911, 16968, -7582, -1879, 901, 99, -49, -2, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 5}
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id: 3470103
{'charpoly_factorization': [[[-6016, -2176, 30480, -1584, -44740, 13575, 19342, -8413, -2082, 1147, 81, -58, -1, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 7}
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id: 3470104
{'charpoly_factorization': [[[123008, 111808, -789008, 523856, 280568, -329672, 28920, 47078, -12423, -1261, 704, -29, -11, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 11}
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id: 3470105
{'charpoly_factorization': [[[1786432, 10814368, 12821008, 26648, -4217920, -373800, 561750, 26020, -36717, 442, 1104, -61, -12, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 13}
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id: 3470106
{'charpoly_factorization': [[[-23680624, -108002816, 26237008, 35174692, -8057516, -4143086, 1050316, 202612, -63971, -2773, 1714, -54, -15, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 17}
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id: 3470107
{'charpoly_factorization': [[[180736, 336128, -1282752, 518768, 680048, -468804, -50652, 96660, -15685, -3680, 1124, -25, -14, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 19}
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id: 3470108
{'charpoly_factorization': [[[368197632, -647776256, 134828800, 172605600, -69395312, -6849140, 5775312, -203746, -172701, 13617, 2108, -209, -9, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 23}
-
id: 3470109
{'charpoly_factorization': [[[-134409216, 100284160, 37467104, -35403376, -2612552, 4563532, -36576, -282724, 9211, 9171, -300, -151, 3, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 29}
-
id: 3470110
{'charpoly_factorization': [[[5259264, -12827648, -13335328, 9475888, 7480684, -1439287, -1147353, 89324, 69262, -1249, -1822, -49, 17, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 31}
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id: 3470111
{'charpoly_factorization': [[[108176, -2308328, 8294524, 25716434, -6942088, -6227789, 1891898, 273566, -115291, -757, 2393, -97, -16, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 37}
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id: 3470112
{'charpoly_factorization': [[[-262115744, 569390256, -378281688, -3774804, 110453400, -47194370, 5431570, 990928, -275897, 5366, 3355, -210, -12, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 41}
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id: 3470113
{'charpoly_factorization': [[[-1580774304, 2840099648, -1843845176, 404327408, 79156500, -50571518, 4280880, 1458990, -263847, -9488, 4235, -112, -20, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 43}
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id: 3470114
{'charpoly_factorization': [[[232066544, 3130521520, -2099949156, -540010980, 353281876, 57028409, -16041051, -2414838, 290635, 44031, -2234, -351, 6, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 47}
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id: 3470115
{'charpoly_factorization': [[[56844352, -4859184, -47347322, 1927542, 13412066, -179681, -1634463, -16770, 88175, 3701, -2000, -143, 12, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 53}
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id: 3470116
{'charpoly_factorization': [[[-6069184, 42051200, -49135560, -49656186, 7247752, 11115267, 572647, -814630, -101321, 17287, 2194, -187, -14, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 59}
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id: 3470117
{'charpoly_factorization': [[[-2717696, 8985088, 82373376, 50435280, -32886736, -16313828, 5344744, 1102310, -272093, -17428, 5292, -87, -24, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 61}
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id: 3470118
{'charpoly_factorization': [[[-7323689064, 10066789960, 4964675718, -3775853066, -382484242, 282075619, 12938871, -7879585, -208758, 96039, 1364, -516, -3, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 67}
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id: 3470119
{'charpoly_factorization': [[[618043392, 1029017088, 234785088, -283462720, -99833008, 25356252, 10289372, -893250, -371681, 20095, 4879, -274, -17, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 71}
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id: 3470120
{'charpoly_factorization': [[[3166561152, -2181329856, -1037604928, 611693056, 87384920, -60020252, -1236548, 2551202, -112599, -44794, 3936, 211, -34, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 73}
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id: 3470121
{'charpoly_factorization': [[[-341278848, 2546496, 220632272, -8898804, -50401364, 3432254, 5062938, -469880, -213583, 24220, 2641, -300, -10, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 79}
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id: 3470122
{'charpoly_factorization': [[[43837825568, -15139875424, -13546867568, 3967456566, 1363225396, -366183789, -46996629, 14255724, 142797, -209419, 12536, 291, -44, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 83}
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id: 3470123
{'charpoly_factorization': [[[259651296, -1511624112, 3078781120, -2704068552, 1005599062, -122058759, -19292841, 6684011, -396280, -58263, 8168, -118, -25, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 89}
-
id: 3470124
{'charpoly_factorization': [[[-428877315008, -626043658240, 212159782104, 112893177956, -13785003646, -3204623641, 350291802, 32850667, -4048341, -107857, 20959, -170, -38, 1], 1]], 'hecke_orbit_code': 54043195562004392, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '4008.2.a.m', 'level': 4008, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 222129000
{'hecke_orbit_code': 54043195562004392, 'n': 1, 'trace_an': 13}
-
id: 222129001
{'hecke_orbit_code': 54043195562004392, 'n': 2, 'trace_an': 0}
-
id: 222129002
{'hecke_orbit_code': 54043195562004392, 'n': 3, 'trace_an': 13}
-
id: 222129003
{'hecke_orbit_code': 54043195562004392, 'n': 4, 'trace_an': 0}
-
id: 222129004
{'hecke_orbit_code': 54043195562004392, 'n': 5, 'trace_an': 2}
-
id: 222129005
{'hecke_orbit_code': 54043195562004392, 'n': 6, 'trace_an': 0}
-
id: 222129006
{'hecke_orbit_code': 54043195562004392, 'n': 7, 'trace_an': 1}
-
id: 222129007
{'hecke_orbit_code': 54043195562004392, 'n': 8, 'trace_an': 0}
-
id: 222129008
{'hecke_orbit_code': 54043195562004392, 'n': 9, 'trace_an': 13}
-
id: 222129009
{'hecke_orbit_code': 54043195562004392, 'n': 10, 'trace_an': 0}
-
id: 222129010
{'hecke_orbit_code': 54043195562004392, 'n': 11, 'trace_an': 11}
-
id: 222129011
{'hecke_orbit_code': 54043195562004392, 'n': 12, 'trace_an': 0}
-
id: 222129012
{'hecke_orbit_code': 54043195562004392, 'n': 13, 'trace_an': 12}
-
id: 222129013
{'hecke_orbit_code': 54043195562004392, 'n': 14, 'trace_an': 0}
-
id: 222129014
{'hecke_orbit_code': 54043195562004392, 'n': 15, 'trace_an': 2}
-
id: 222129015
{'hecke_orbit_code': 54043195562004392, 'n': 16, 'trace_an': 0}
-
id: 222129016
{'hecke_orbit_code': 54043195562004392, 'n': 17, 'trace_an': 15}
-
id: 222129017
{'hecke_orbit_code': 54043195562004392, 'n': 18, 'trace_an': 0}
-
id: 222129018
{'hecke_orbit_code': 54043195562004392, 'n': 19, 'trace_an': 14}
-
id: 222129019
{'hecke_orbit_code': 54043195562004392, 'n': 20, 'trace_an': 0}
-
id: 222129020
{'hecke_orbit_code': 54043195562004392, 'n': 21, 'trace_an': 1}
-
id: 222129021
{'hecke_orbit_code': 54043195562004392, 'n': 22, 'trace_an': 0}
-
id: 222129022
{'hecke_orbit_code': 54043195562004392, 'n': 23, 'trace_an': 9}
-
id: 222129023
{'hecke_orbit_code': 54043195562004392, 'n': 24, 'trace_an': 0}
-
id: 222129024
{'hecke_orbit_code': 54043195562004392, 'n': 25, 'trace_an': 37}
-
id: 222129025
{'hecke_orbit_code': 54043195562004392, 'n': 26, 'trace_an': 0}
-
id: 222129026
{'hecke_orbit_code': 54043195562004392, 'n': 27, 'trace_an': 13}
-
id: 222129027
{'hecke_orbit_code': 54043195562004392, 'n': 28, 'trace_an': 0}
-
id: 222129028
{'hecke_orbit_code': 54043195562004392, 'n': 29, 'trace_an': -3}
-
id: 222129029
{'hecke_orbit_code': 54043195562004392, 'n': 30, 'trace_an': 0}
-
id: 222129030
{'hecke_orbit_code': 54043195562004392, 'n': 31, 'trace_an': -17}
-
id: 222129031
{'hecke_orbit_code': 54043195562004392, 'n': 32, 'trace_an': 0}
-
id: 222129032
{'hecke_orbit_code': 54043195562004392, 'n': 33, 'trace_an': 11}
-
id: 222129033
{'hecke_orbit_code': 54043195562004392, 'n': 34, 'trace_an': 0}
-
id: 222129034
{'hecke_orbit_code': 54043195562004392, 'n': 35, 'trace_an': 15}
-
id: 222129035
{'hecke_orbit_code': 54043195562004392, 'n': 36, 'trace_an': 0}
-
id: 222129036
{'hecke_orbit_code': 54043195562004392, 'n': 37, 'trace_an': 16}
-
id: 222129037
{'hecke_orbit_code': 54043195562004392, 'n': 38, 'trace_an': 0}
-
id: 222129038
{'hecke_orbit_code': 54043195562004392, 'n': 39, 'trace_an': 12}
-
id: 222129039
{'hecke_orbit_code': 54043195562004392, 'n': 40, 'trace_an': 0}
-
id: 222129040
{'hecke_orbit_code': 54043195562004392, 'n': 41, 'trace_an': 12}
-
id: 222129041
{'hecke_orbit_code': 54043195562004392, 'n': 42, 'trace_an': 0}
-
id: 222129042
{'hecke_orbit_code': 54043195562004392, 'n': 43, 'trace_an': 20}
-
id: 222129043
{'hecke_orbit_code': 54043195562004392, 'n': 44, 'trace_an': 0}
-
id: 222129044
{'hecke_orbit_code': 54043195562004392, 'n': 45, 'trace_an': 2}
-
id: 222129045
{'hecke_orbit_code': 54043195562004392, 'n': 46, 'trace_an': 0}
-
id: 222129046
{'hecke_orbit_code': 54043195562004392, 'n': 47, 'trace_an': -6}
-
id: 222129047
{'hecke_orbit_code': 54043195562004392, 'n': 48, 'trace_an': 0}
-
id: 222129048
{'hecke_orbit_code': 54043195562004392, 'n': 49, 'trace_an': 26}
-
id: 222129049
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