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mf_newforms • Show schema
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{'Nk2': 2560, 'analytic_conductor': 5.110425729361944, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 16, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 4, 'char_parity': 1, 'char_values': [640, 4, [511, 261, 257], [4, 3, 4]], 'cm_discs': [], 'conrey_index': 161, 'dim': 16, 'field_disc': 110988513382355697664, 'field_disc_factorization': [[2, 32], [160753, 2]], 'field_poly': [256, -512, 256, 0, 112, -64, -112, 56, 17, 28, -28, -8, 7, 0, 4, -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, 64, 128, -1088, 5824, 2656, 1024, -2560, 2632, -176, 32, -80, 112, -8, 0, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 755947799168, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4096, 'hecke_ring_index_factorization': [[2, 12]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 16, 5, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '640.2.l.a', 'level': 640, '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, 5], 'level_radical': 10, 'minimal_twist': '80.2.l.a', 'prim_orbit_index': 5, 'qexp_display': 'q+(\\beta _{5}-\\beta _{7})q^{3}-\\beta _{1}q^{5}+(\\beta _{1}-\\beta _{4}-\\beta _{7}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '640.2.l', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1175749952806060729, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.0, 0.0], [-0.06928716944805009, 0.06928716944805009], [0.0, 0.0], [0.31622776601683794, 0.31622776601683794], [0.0, 0.0], [0.0, 1.0087163756313828], [0.0, 0.0], [0.0, 0.9903985762997544], [0.0, 0.0], [-1.0544285640048723, -1.0544285640048723], [0.0, 0.0], [-0.8156101659256033, 0.8156101659256033], [0.0, 0.0], [-0.04382105361637397, 0.0], [0.0, 0.0], [0.44897127964005507, 0.0], [0.0, 0.0], [-0.7911549416141808, 0.7911549416141808], [0.0, 0.0], [-0.06989110244339455, -0.06989110244339455], [0.0, 0.0], [0.0, -0.14747982415498218], [0.0, 0.0], [0.0, 0.2], [0.0, 0.0], [-0.13790908342523875, -0.13790908342523875], [0.0, 0.0], [0.6497655295180232, -0.6497655295180232], [0.0, 0.0], [-1.2289880735725751, 0.0], [0.0, 0.0], [0.14611674117013942, 0.0], [0.0, 0.0], [-0.3189841260105137, 0.3189841260105137], [0.0, 0.0], [0.0160298917189256, 0.0160298917189256], [0.0, 0.0], [0.0, -0.11302263954007905], [0.0, 0.0], [0.0, 1.5937914278837282], [0.0, 0.0], [0.6768550683798501, 0.6768550683798501], [0.0, 0.0], [-0.31319152924952814, 0.31319152924952814], [0.0, 0.0], [0.27630983070454884, 0.0], [0.0, 0.0], [-0.017508726466912858, 0.0], [0.0, 0.0], [-0.031107949129728377, 0.031107949129728377], [0.0, 0.0], [1.021821505505859, 1.021821505505859], [0.0, 0.0], [0.0, -0.6668791784392063], [0.0, 0.0], [0.0, -0.10963377299856783], [0.0, 0.0], [0.12492585971800745, 0.12492585971800745], [0.0, 0.0], [-0.8320154723509409, 0.8320154723509409], [0.0, 0.0], [-0.9990312623155697, 0.0], [0.0, 0.0], [-0.5158371614225521, 0.0], [0.0, 0.0], [0.4272158278571892, -0.4272158278571892], [0.0, 0.0], [0.010218459566394882, 0.010218459566394882], [0.0, 0.0], [0.0, 0.9337326383614003], [0.0, 0.0], [0.0, -1.8324406244362899], [0.0, 0.0], [-0.013857433889610018, -0.013857433889610018], [0.0, 0.0], [1.0636193594451981, -1.0636193594451981], [0.0, 0.0], [0.7540470554825023, 0.0], [0.0, 0.0], [-0.9712879162363348, 0.0], [0.0, 0.0], [-0.4251466325304066, 0.4251466325304066], [0.0, 0.0], [0.14197718476629564, 0.14197718476629564], [0.0, 0.0], [0.0, 0.09004082869043453], [0.0, 0.0], [0.0, -1.113579595514101], [0.0, 0.0], [-0.8227193305005853, -0.8227193305005853], [0.0, 0.0], [0.08515310490325566, -0.08515310490325566], [0.0, 0.0], [-0.5003703195196685, 0.0], [0.0, 0.0], [0.48730266827140006, 0.0], [0.0, 0.0], [1.0443045486002198, -1.0443045486002198], [0.0, 0.0]], 'angles': [None, -0.3828006689996788, None, 0.08413543529078348, -0.4910830305731236, -0.4728344945863782, -0.21396490614739158, -0.46949016222885837, -0.48825326641914457, -0.2990226230292101, -0.3553199036003242, -0.12319596473597427, 0.14676299736184406, -0.04557060977831487, -0.22794140780838848, 0.003512033509240798, -0.11092255235949323, -0.47510596871957533, -0.326158308485864, 0.07730853899939542, -0.3156121491838011, -0.1884737929421654, -0.4235974718668115, -0.4060164436186869, -0.2108273728472108, -0.1291771406799688, -0.41528337714499836, 0.10444849028263226, -0.38358757267962684, -0.24369119572499653, -0.05576844196893262, -0.3283939909124212, -0.42761121745295827, -0.0766679533418061, -0.2100805043844149, -0.3208111853590973, -0.34132073415879355, -0.35630231054331635, 0.12399948468512452, -0.2991277320838552, -0.39545430389956526, -0.1627093248192328, -0.29523291607969293, -0.31690264953316316, -0.13382453116750442, 0.08441303399360241, -0.4788347619621935, -0.2664782887418658, -0.311181195543745, -0.047710611775583396, 0.07524451198111705, -0.19338219249367647, -0.3157820519325663, -0.09866169301673969, -0.23453740869953876, 0.09334607925472684, -0.3861549568663392, -0.343106045441169, -0.024726550264712186, -0.44811183780340286, -0.24575428439389327, -0.09710909302982523, -0.46016958643347505, -0.46094611904710764, 0.09119085301104843, -0.3139892097051371, -0.0417152516911285, -0.23559027740737598, -0.006219066314111841, -0.3527105344303959, -0.078523637215708, -0.4724571855823252, -0.20350820833323294, -0.16531420945615166, -0.18482626103904906, -0.3860391653457578, -0.13065552421247748, -0.4780923518063873, -0.13343802568092875, 0.05289678377734294, -0.43069481229393664, -0.2165950193845652, -0.24890672920386545, -0.3216539214790694, 0.044612812154918094, -0.48707602972524777, -0.20352590254826272, 0.006354465204828572, -0.3500156632728814, -0.20818831275841215, -0.36423937726240807, -0.0500989690869521, 0.029948522038088315, -0.1031681677623597, -0.4544804000873554, 0.06822217625037931, -0.4343508296153583, -0.35016098606329965, -0.09509363014696538, -0.2089565355668958], 'char_orbit_index': 12, 'conrey_index': 481, 'dual_conrey_index': 161, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 12, 'embedding_root_imag': -1.3828736979608363, 'embedding_root_real': -0.29607488155553074, 'hecke_orbit': 1, 'hecke_orbit_code': 755947799168, 'label': '640.2.l.a.481.4', 'level': 640, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2560, 'analytic_conductor': 5.110425729361944, 'char_conductor': 16, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 4, 'char_parity': 1, 'char_values': [640, 4, [511, 261, 257], [4, 3, 4]], 'conrey_index': 161, 'cusp_dim': 160, 'dim': 32, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 755947799168, 'hecke_orbit_dims': [16, 16], 'label': '640.2.l', 'level': 640, '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, 5], 'level_radical': 10, 'mf_dim': 224, 'mf_new_dim': 32, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 16, 'sturm_bound': 192, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, 32, 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, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 128, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 64, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -256, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 256, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 320, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -320, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -320, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -64, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, -64, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, -256, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 64, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, -64, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 384, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -512, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -256, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -128, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -320, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 128, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 128, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 608, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 256, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 384, 0, 0, 0, -96, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 9035037
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 481, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 755947799168, 'target_is_minimal': False, 'target_label': '640.2.l.a.481.4', 'target_level': 640, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 9035038
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 481, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504355575169664, 'target_is_minimal': False, 'target_label': '640.2.l.b.481.5', 'target_level': 640, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 9035039
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 21, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 755947798608, 'target_is_minimal': True, 'target_label': '80.2.l.a.21.7', 'target_level': 80, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 9035040
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 241, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 755947798848, 'target_is_minimal': False, 'target_label': '320.2.l.a.241.5', 'target_level': 320, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 9035041
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 161, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504355575169664, 'target_is_minimal': False, 'target_label': '640.2.l.b.161.5', 'target_level': 640, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 9035042
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 81, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 755947798848, 'target_is_minimal': False, 'target_label': '320.2.l.a.81.5', 'target_level': 320, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 9035043
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 61, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 755947798608, 'target_is_minimal': True, 'target_label': '80.2.l.a.61.7', 'target_level': 80, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 9035044
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 161, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 755947799168, 'target_is_minimal': False, 'target_label': '640.2.l.a.161.4', 'target_level': 640, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 9035045
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 2161, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9008504958356288, 'target_is_minimal': False, 'target_label': '2880.2.t.c.2161.7', 'target_level': 2880, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 9035046
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 181, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008504958354128, 'target_is_minimal': False, 'target_label': '720.2.t.c.181.2', 'target_level': 720, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 9035047
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 81064793326228480, 'target_is_minimal': False, 'target_label': '5120.2.a.s.1.5', 'target_level': 5120, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '32.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 9035048
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 85568392953598976, 'target_is_minimal': False, 'target_label': '5120.2.a.t.1.5', 'target_level': 5120, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '32.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 9035049
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 94575592208339968, 'target_is_minimal': False, 'target_label': '5120.2.a.v.1.4', 'target_level': 5120, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '32.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 9035050
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 90071992580969472, 'target_is_minimal': False, 'target_label': '5120.2.a.u.1.4', 'target_level': 5120, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '32.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 9035051
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 149, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 31526296936776080, 'target_is_minimal': False, 'target_label': '400.2.q.h.149.6', 'target_level': 400, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 9035052
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27022697309406784, 'target_is_minimal': False, 'target_label': '1600.2.q.g.49.5', 'target_level': 1600, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 9035053
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 101, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525953339392400, 'target_is_minimal': False, 'target_label': '400.2.l.h.101.2', 'target_level': 400, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 9035054
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 149, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022697309405584, 'target_is_minimal': False, 'target_label': '400.2.q.g.149.3', 'target_level': 400, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 9035055
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 1201, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029552966764096, 'target_is_minimal': False, 'target_label': '1600.2.l.i.1201.4', 'target_level': 1600, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 9035056
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526296936777280, 'target_is_minimal': False, 'target_label': '1600.2.q.h.49.4', 'target_level': 1600, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 9035057
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 721, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9008504958356288, 'target_is_minimal': False, 'target_label': '2880.2.t.c.721.6', 'target_level': 2880, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 9035058
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 541, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008504958354128, 'target_is_minimal': False, 'target_label': '720.2.t.c.541.2', 'target_level': 720, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 9035059
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 31526296936776080, 'target_is_minimal': False, 'target_label': '400.2.q.h.349.6', 'target_level': 400, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '80.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 9035060
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 849, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27022697309406784, 'target_is_minimal': False, 'target_label': '1600.2.q.g.849.5', 'target_level': 1600, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '80.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 9035061
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022697309405584, 'target_is_minimal': False, 'target_label': '400.2.q.g.349.3', 'target_level': 400, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '80.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 9035062
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 849, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526296936777280, 'target_is_minimal': False, 'target_label': '1600.2.q.h.849.4', 'target_level': 1600, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '80.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 9035063
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 301, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525953339392400, 'target_is_minimal': False, 'target_label': '400.2.l.h.301.2', 'target_level': 400, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '80.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 9035064
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 481, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 755947799168, 'source_is_minimal': False, 'source_label': '640.2.l.a.481.4', 'source_level': 640, 'target_conrey_index': 401, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029552966764096, 'target_is_minimal': False, 'target_label': '1600.2.l.i.401.4', 'target_level': 1600, 'twist_class_label': '80.2.l.a.21.7', 'twist_class_level': 80, 'twisting_char_label': '80.69', 'twisting_conrey_index': 69, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1152050
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 755947799168, 'p': 2}
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id: 1152051
{'charpoly_factorization': [[[16, 64, 128, -1088, 5824, 2656, 1024, -2560, 2632, -176, 32, -80, 112, -8, 0, 0, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 3}
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id: 1152052
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 4]], 'hecke_orbit_code': 755947799168, 'p': 5}
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id: 1152053
{'charpoly_factorization': [[[204304, 0, 811008, 0, 1033536, 0, 549632, 0, 145224, 0, 20736, 0, 1616, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 7}
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id: 1152054
{'charpoly_factorization': [[[1290496, 799744, 247808, 848384, 3958016, 3673856, 1795584, 446848, 139616, 82368, 40320, 9568, 1232, 80, 32, 8, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 11}
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id: 1152055
{'charpoly_factorization': [[[20647936, -46530560, 52428800, -27869184, 9146368, -3137536, 2654208, -1400832, 415872, -49152, 8192, -4352, 1600, -128, 0, 0, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 13}
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id: 1152056
{'charpoly_factorization': [[[13888, -5120, -7744, 1536, 1408, -64, -72, 0, 1], 2]], 'hecke_orbit_code': 755947799168, 'p': 17}
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id: 1152057
{'charpoly_factorization': [[[614656, 4164608, 14108672, 26513920, 30308608, 19398912, 7595520, 1921408, 731744, 363072, 132480, 27488, 3216, 176, 32, 8, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 19}
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id: 1152058
{'charpoly_factorization': [[[1731856, 0, 5740288, 0, 5719232, 0, 2620928, 0, 622088, 0, 77504, 0, 4784, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 23}
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id: 1152059
{'charpoly_factorization': [[[3017085184, 4042700800, 2708480000, 456489984, -5714688, -1816064, 37230592, 2768128, -199840, -351616, 198144, -18624, 1104, -288, 128, -16, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 29}
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id: 1152060
{'charpoly_factorization': [[[-20224, -58368, -26112, 4096, 2848, -64, -96, 0, 1], 2]], 'hecke_orbit_code': 755947799168, 'p': 31}
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id: 1152061
{'charpoly_factorization': [[[18939904, -236191744, 1472724992, -2707357696, 2705047552, -1380728832, 381124608, -40185856, 22554112, -9370624, 2144256, -249088, 16320, -704, 128, -16, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 37}
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id: 1152062
{'charpoly_factorization': [[[110660014336, 0, 325786435584, 0, 63304144128, 0, 5024061440, 0, 206041952, 0, 4686848, 0, 59088, 0, 384, 0, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 41}
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id: 1152063
{'charpoly_factorization': [[[53640976, 331044800, 1021520000, 1500385792, 1191507520, 280880992, 26364032, -1854880, 5444360, 950192, 76832, -18816, 5328, 440, 32, -8, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 43}
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id: 1152064
{'charpoly_factorization': [[[575044, -693376, 244768, -584, -14936, 2392, -8, -20, 1], 2]], 'hecke_orbit_code': 755947799168, 'p': 47}
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id: 1152065
{'charpoly_factorization': [[[383725735936, 196640112640, 50384076800, 10552958976, 26109784064, 13942091776, 3861454848, 498471936, 43316352, 6504448, 1892352, 236416, 15552, 448, 128, 16, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 53}
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id: 1152066
{'charpoly_factorization': [[[12227051776, -30451745792, 37920376832, -27384356352, 12226302208, -3038184192, 314344960, 20658560, 7403616, -2562240, 291200, 65632, 8464, -272, 32, 8, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 59}
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id: 1152067
{'charpoly_factorization': [[[1393986371584, -1092943347712, 428456542208, 95024578560, 27549499392, -9643622400, 2332164096, 240730112, 17876992, -4136960, 1425408, 176640, 11520, -384, 128, 16, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 61}
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id: 1152068
{'charpoly_factorization': [[[46120451769616, -26534918246592, 7633293466752, -2087109786752, 1043974444608, -475604544352, 148072661120, -31795927072, 4867387016, -537576688, 43098400, -2604960, 147664, -10680, 800, -40, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 67}
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id: 1152069
{'charpoly_factorization': [[[3333516427264, 0, 2007385505792, 0, 408856297472, 0, 33695596544, 0, 1144522752, 0, 18817024, 0, 157440, 0, 640, 0, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 71}
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id: 1152070
{'charpoly_factorization': [[[15847788544, 0, 28362989568, 0, 17757564928, 0, 4377603072, 0, 321195136, 0, 9035648, 0, 108992, 0, 560, 0, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 73}
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id: 1152071
{'charpoly_factorization': [[[4352, -31232, -61952, 4992, 5856, -352, -160, 8, 1], 2]], 'hecke_orbit_code': 755947799168, 'p': 79}
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id: 1152072
{'charpoly_factorization': [[[2050640656, 6041972416, 8900981888, 5315507456, 1230069056, -140621856, 1135671424, 379938272, 64272392, -9891472, 315168, 36928, 37520, -7976, 800, -40, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 83}
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id: 1152073
{'charpoly_factorization': [[[684153962496, 0, 380947267584, 0, 69045698560, 0, 5734359040, 0, 244188672, 0, 5576192, 0, 68032, 0, 416, 0, 1], 1]], 'hecke_orbit_code': 755947799168, 'p': 89}
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id: 1152074
{'charpoly_factorization': [[[-8549312, 7621376, -1675968, -78720, 47936, -416, -440, 0, 1], 2]], 'hecke_orbit_code': 755947799168, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 1, 'label': '640.2.l.a', 'level': 640, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 10909596
{'hecke_orbit_code': 755947799168, 'n': 1, 'trace_an': 16}
-
id: 10909597
{'hecke_orbit_code': 755947799168, 'n': 2, 'trace_an': 0}
-
id: 10909598
{'hecke_orbit_code': 755947799168, 'n': 3, 'trace_an': 0}
-
id: 10909599
{'hecke_orbit_code': 755947799168, 'n': 4, 'trace_an': 0}
-
id: 10909600
{'hecke_orbit_code': 755947799168, 'n': 5, 'trace_an': 0}
-
id: 10909601
{'hecke_orbit_code': 755947799168, 'n': 6, 'trace_an': 0}
-
id: 10909602
{'hecke_orbit_code': 755947799168, 'n': 7, 'trace_an': 0}
-
id: 10909603
{'hecke_orbit_code': 755947799168, 'n': 8, 'trace_an': 0}
-
id: 10909604
{'hecke_orbit_code': 755947799168, 'n': 9, 'trace_an': 0}
-
id: 10909605
{'hecke_orbit_code': 755947799168, 'n': 10, 'trace_an': 0}
-
id: 10909606
{'hecke_orbit_code': 755947799168, 'n': 11, 'trace_an': -8}
-
id: 10909607
{'hecke_orbit_code': 755947799168, 'n': 12, 'trace_an': 0}
-
id: 10909608
{'hecke_orbit_code': 755947799168, 'n': 13, 'trace_an': 0}
-
id: 10909609
{'hecke_orbit_code': 755947799168, 'n': 14, 'trace_an': 0}
-
id: 10909610
{'hecke_orbit_code': 755947799168, 'n': 15, 'trace_an': 8}
-
id: 10909611
{'hecke_orbit_code': 755947799168, 'n': 16, 'trace_an': 0}
-
id: 10909612
{'hecke_orbit_code': 755947799168, 'n': 17, 'trace_an': 0}
-
id: 10909613
{'hecke_orbit_code': 755947799168, 'n': 18, 'trace_an': 0}
-
id: 10909614
{'hecke_orbit_code': 755947799168, 'n': 19, 'trace_an': -8}
-
id: 10909615
{'hecke_orbit_code': 755947799168, 'n': 20, 'trace_an': 0}
-
id: 10909616
{'hecke_orbit_code': 755947799168, 'n': 21, 'trace_an': 0}
-
id: 10909617
{'hecke_orbit_code': 755947799168, 'n': 22, 'trace_an': 0}
-
id: 10909618
{'hecke_orbit_code': 755947799168, 'n': 23, 'trace_an': 0}
-
id: 10909619
{'hecke_orbit_code': 755947799168, 'n': 24, 'trace_an': 0}
-
id: 10909620
{'hecke_orbit_code': 755947799168, 'n': 25, 'trace_an': 0}
-
id: 10909621
{'hecke_orbit_code': 755947799168, 'n': 26, 'trace_an': 0}
-
id: 10909622
{'hecke_orbit_code': 755947799168, 'n': 27, 'trace_an': 24}
-
id: 10909623
{'hecke_orbit_code': 755947799168, 'n': 28, 'trace_an': 0}
-
id: 10909624
{'hecke_orbit_code': 755947799168, 'n': 29, 'trace_an': 16}
-
id: 10909625
{'hecke_orbit_code': 755947799168, 'n': 30, 'trace_an': 0}
-
id: 10909626
{'hecke_orbit_code': 755947799168, 'n': 31, 'trace_an': 0}
-
id: 10909627
{'hecke_orbit_code': 755947799168, 'n': 32, 'trace_an': 0}
-
id: 10909628
{'hecke_orbit_code': 755947799168, 'n': 33, 'trace_an': 0}
-
id: 10909629
{'hecke_orbit_code': 755947799168, 'n': 34, 'trace_an': 0}
-
id: 10909630
{'hecke_orbit_code': 755947799168, 'n': 35, 'trace_an': 0}
-
id: 10909631
{'hecke_orbit_code': 755947799168, 'n': 36, 'trace_an': 0}
-
id: 10909632
{'hecke_orbit_code': 755947799168, 'n': 37, 'trace_an': 16}
-
id: 10909633
{'hecke_orbit_code': 755947799168, 'n': 38, 'trace_an': 0}
-
id: 10909634
{'hecke_orbit_code': 755947799168, 'n': 39, 'trace_an': 0}
-
id: 10909635
{'hecke_orbit_code': 755947799168, 'n': 40, 'trace_an': 0}
-
id: 10909636
{'hecke_orbit_code': 755947799168, 'n': 41, 'trace_an': 0}
-
id: 10909637
{'hecke_orbit_code': 755947799168, 'n': 42, 'trace_an': 0}
-
id: 10909638
{'hecke_orbit_code': 755947799168, 'n': 43, 'trace_an': 8}
-
id: 10909639
{'hecke_orbit_code': 755947799168, 'n': 44, 'trace_an': 0}
-
id: 10909640
{'hecke_orbit_code': 755947799168, 'n': 45, 'trace_an': 0}
-
id: 10909641
{'hecke_orbit_code': 755947799168, 'n': 46, 'trace_an': 0}
-
id: 10909642
{'hecke_orbit_code': 755947799168, 'n': 47, 'trace_an': 40}
-
id: 10909643
{'hecke_orbit_code': 755947799168, 'n': 48, 'trace_an': 0}
-
id: 10909644
{'hecke_orbit_code': 755947799168, 'n': 49, 'trace_an': -16}
-
id: 10909645
{'hecke_orbit_code': 755947799168, 'n': 50, 'trace_an': 0}
-
id: 10909646
{'hecke_orbit_code': 755947799168, 'n': 51, 'trace_an': -32}
-
id: 10909647
{'hecke_orbit_code': 755947799168, 'n': 52, 'trace_an': 0}
-
id: 10909648
{'hecke_orbit_code': 755947799168, 'n': 53, 'trace_an': -16}
-
id: 10909649
{'hecke_orbit_code': 755947799168, 'n': 54, 'trace_an': 0}
-
id: 10909650
{'hecke_orbit_code': 755947799168, 'n': 55, 'trace_an': 0}
-
id: 10909651
{'hecke_orbit_code': 755947799168, 'n': 56, 'trace_an': 0}
-
id: 10909652
{'hecke_orbit_code': 755947799168, 'n': 57, 'trace_an': 0}
-
id: 10909653
{'hecke_orbit_code': 755947799168, 'n': 58, 'trace_an': 0}
-
id: 10909654
{'hecke_orbit_code': 755947799168, 'n': 59, 'trace_an': -8}
-
id: 10909655
{'hecke_orbit_code': 755947799168, 'n': 60, 'trace_an': 0}
-
id: 10909656
{'hecke_orbit_code': 755947799168, 'n': 61, 'trace_an': -16}
-
id: 10909657
{'hecke_orbit_code': 755947799168, 'n': 62, 'trace_an': 0}
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id: 10909658
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