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mf_newforms • Show schema
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{'Nk2': 5184, 'analytic_conductor': 10.348612101957938, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 36, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [1296, 6, [1135, 325, 1217], [3, 6, 1]], 'cm_discs': [], 'conrey_index': 431, 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [81, 0, -108, 0, 135, 0, -12, 0, 1]], [7, [36, -36, 6, 6, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40533633630471440, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 729, 'hecke_ring_index_factorization': [[3, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 36, 8, 1, 6, 0], [1, 1, 36, 6, -1, 6, 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': True, 'label': '1296.2.s.j', 'level': 1296, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '1296.2.c.g', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 8, 'qexp_display': 'q+\\beta_{6} q^{5}+(-\\beta_{2}+\\beta_1-1)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1296.2.s', 'trace_display': [0, 0, 0, -12], 'trace_hash': 2305314698693394424, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.574', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.3472421872324923, -0.20048037027267385], [0.0, 0.0], [0.4150337965481249, 0.23961987415985228], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.6396021490668313, -1.1078234188139946], [0.0, 0.0], [-0.1386750490563073, -0.2401922307076307], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -0.21745149253452423], [0.0, 0.0], [0.0, -1.0856069087311984], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.7661308776828737, -1.3269776053940743], [0.0, 0.0], [-0.4196152422706632, 0.7267949192431122], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.3259423660584257, 0.7655331819737614], [0.0, 0.0], [-0.9332565252573828, 0.5388159060803247], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.19215632438503477, 0.0], [0.0, 0.0], [0.19664624695581995, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.9938837346736189, -0.5738190417570045], [0.0, 0.0], [1.0824464743432518, 0.6249507633454378], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.8453685746355103, -1.4642213223907863], [0.0, 0.0], [-0.38516463181523314, -0.6671247115825438], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 1.0093898773656798], [0.0, 0.0], [0.0, -0.5129107026884651], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.7545169884769575, -1.3068617592159515], [0.0, 0.0], [0.2046126919966618, -0.35439957841166003], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.09630765469777061, -0.05560325036477939], [0.0, 0.0], [-1.1354707479435655, 0.6555643419821633], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.1349147803553103, 0.0], [0.0, 0.0], [1.0763282293440597, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.5309130164150934, -0.30652277294353036], [0.0, 0.0], [0.4610695962466375, 0.2661986555081482], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.46569031542379974, -0.8065992869067975], [0.0, 0.0], [-0.043594755739666986, -0.07550833188465815], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -1.2541202302161667], [0.0, 0.0], [0.0, -0.13291719121593476], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.2176428750330035, -0.37696851746252596], [0.0, 0.0], [-0.730658576611218, 1.2655377776765866], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]], 'angles': [None, None, -0.30120819117478337, -0.12815526077284398, -0.3062162245783193, -0.105475511952262, -0.4826614843258491, -0.40868142548652037, -0.44442304143298517, -0.027904306692150608, -0.4238974132457547, -0.23432606489538332, -0.2360639698570935, -0.059226184151953895, -0.2563570913143965, 0.08419751057861238, -0.4472689356330467, -0.38386992402344033, -0.4471179311507104, -0.23925566369152473, -0.159559029396629, -0.1237828075845104, -0.3395697021413041, -0.39212901477479845, 0.21372675916620923, -0.05752942538194345, -0.2778949772111216, -0.2260160497863389, -0.3242541195732804, -0.3400471051781397, -0.4056842263566515, -0.07542614884681047, -0.26553338340126514, -0.31618368013214787, -0.3881629033093283, -0.12118358439260238, 0.07711040117057653, 0.08449496271834406, 0.021610104985792723, -0.1159276822447542, -0.301356196703982, -0.25232054453960284, 0.1804134859484624, -0.13821469154391275, 0.19698439783340313, 0.11704437833284348, -0.1626657595284506, -0.4964001913764297, 0.20763220116477607, -0.06545690188808027, -0.33239349740843205, -0.05114012404468482, -0.4732308604507038, -0.2557113029097229, -0.4884222522769724, 0.18956057775879914, -0.47818113893493225, 0.16231608099793823, -0.37803773905020277, -0.2635994816035217, -0.3541701210269785, -0.39936923923309153, 0.04791975102898853, -0.03003890754947169, -0.4194002045257245, -0.17067434868428394, -0.2903563395025976, -0.4978539978199381, 0.04833915019790943, -0.3012347964446524, -0.22166354542923591, -0.3445600659977231, -0.010423590917497448, 0.03638825650576822, 0.10094120789981793, -0.09134316574359821, -0.13684329149524402, -0.23879251226078974, -0.4040295184615603, -0.03044011747258953, -0.15493458889552109, -0.4863230084450736, -0.3075831146712915, -0.2831573051371043, -0.4784706634315594, -0.3962720476915186, 0.02773732354267292, -0.45116873572540844, -0.0808635191698999, -0.3299003128519916, -0.0799628188095432, -0.39288521149570405, -0.47582085273224384, -0.14148184677890402, -0.4260890970259856, -0.26102887605740843, -0.20378736476258894, -0.43508646320885463, 0.07375304508756476, -0.23150972604406767], 'char_orbit_index': 19, 'conrey_index': 431, 'dual_conrey_index': 863, 'dual_embedding_index': 3, 'dual_embedding_m': 7, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.25881904510252074, 'embedding_root_real': 0.9659258262890683, 'hecke_orbit': 10, 'hecke_orbit_code': 40533633630471440, 'label': '1296.2.s.j.431.3', 'level': 1296, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 5184, 'analytic_conductor': 10.348612101957938, 'char_conductor': 36, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [1296, 6, [1135, 325, 1217], [3, 6, 1]], 'conrey_index': 431, 'cusp_dim': 360, 'dim': 48, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 1236984136976, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 8, 8, 8], 'label': '1296.2.s', 'level': 1296, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 504, 'mf_new_dim': 48, 'num_forms': 12, 'prim_orbit_index': 8, 'relative_dim': 24, 'sturm_bound': 432, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 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, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 432, 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, 0, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47016160
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 431, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40533633630471440, 'target_is_minimal': False, 'target_label': '1296.2.s.j.431.3', 'target_level': 1296, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47016161
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 431, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40533633630471440, 'target_is_minimal': False, 'target_label': '1296.2.s.j.431.2', 'target_level': 1296, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47016162
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 431, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49540832885212432, 'target_is_minimal': False, 'target_label': '1296.2.s.l.431.3', 'target_level': 1296, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47016163
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 1295, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021735236732176, 'target_is_minimal': True, 'target_label': '1296.2.c.g.1295.3', 'target_level': 1296, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47016164
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 863, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540832885212432, 'target_is_minimal': False, 'target_label': '1296.2.s.l.863.2', 'target_level': 1296, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47016165
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 863, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49540832885212432, 'target_is_minimal': False, 'target_label': '1296.2.s.l.863.3', 'target_level': 1296, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47016166
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 1295, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021735236732176, 'target_is_minimal': True, 'target_label': '1296.2.c.g.1295.5', 'target_level': 1296, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47016167
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 431, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540832885212432, 'target_is_minimal': False, 'target_label': '1296.2.s.l.431.2', 'target_level': 1296, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47016168
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 1295, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27021735236732176, 'target_is_minimal': True, 'target_label': '1296.2.c.g.1295.6', 'target_level': 1296, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47016169
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 1295, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021735236732176, 'target_is_minimal': True, 'target_label': '1296.2.c.g.1295.4', 'target_level': 1296, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47016170
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 863, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40533633630471440, 'target_is_minimal': False, 'target_label': '1296.2.s.j.863.3', 'target_level': 1296, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47016171
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 863, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40533633630471440, 'target_is_minimal': False, 'target_label': '1296.2.s.j.863.2', 'target_level': 1296, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 47016172
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 5183, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 31525334864106560, 'target_is_minimal': False, 'target_label': '5184.2.c.h.5183.6', 'target_level': 5184, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '72.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47016173
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 5183, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 31525334864106560, 'target_is_minimal': False, 'target_label': '5184.2.c.h.5183.5', 'target_level': 5184, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '72.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 47016174
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 5183, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525334864106560, 'target_is_minimal': False, 'target_label': '5184.2.c.h.5183.4', 'target_level': 5184, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '72.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 47016175
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 431, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533633630471440, 'source_is_minimal': False, 'source_label': '1296.2.s.j.431.3', 'source_level': 1296, 'target_conrey_index': 5183, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525334864106560, 'target_is_minimal': False, 'target_label': '5184.2.c.h.5183.3', 'target_level': 5184, 'twist_class_label': '1296.2.c.g.1295.3', 'twist_class_level': 1296, 'twisting_char_label': '72.61', 'twisting_conrey_index': 61, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1837275
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 40533633630471440, 'p': 2}
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id: 1837276
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 40533633630471440, 'p': 3}
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id: 1837277
{'charpoly_factorization': [[[81, 0, -108, 0, 135, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 40533633630471440, 'p': 5}
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id: 1837278
{'charpoly_factorization': [[[36, -36, 6, 6, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 7}
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id: 1837279
{'charpoly_factorization': [[[324, 0, 18, 0, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 11}
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id: 1837280
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 40533633630471440, 'p': 13}
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id: 1837281
{'charpoly_factorization': [[[9, 0, 12, 0, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 17}
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id: 1837282
{'charpoly_factorization': [[[36, 0, 24, 0, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 19}
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id: 1837283
{'charpoly_factorization': [[[2916, 0, 54, 0, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 23}
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id: 1837284
{'charpoly_factorization': [[[1185921, 0, -91476, 0, 5967, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 40533633630471440, 'p': 29}
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id: 1837285
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 31}
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id: 1837286
{'charpoly_factorization': [[[-11, 8, 1], 4]], 'hecke_orbit_code': 40533633630471440, 'p': 37}
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id: 1837287
{'charpoly_factorization': [[[2916, 0, -54, 0, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 41}
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id: 1837288
{'charpoly_factorization': [[[324, -324, 126, -18, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 43}
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id: 1837289
{'charpoly_factorization': [[[1679616, 0, 186624, 0, 19440, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 40533633630471440, 'p': 47}
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id: 1837290
{'charpoly_factorization': [[[54, 0, 1], 4]], 'hecke_orbit_code': 40533633630471440, 'p': 53}
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id: 1837291
{'charpoly_factorization': [[[1679616, 0, 186624, 0, 19440, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 40533633630471440, 'p': 59}
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id: 1837292
{'charpoly_factorization': [[[529, -92, 39, 4, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 61}
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id: 1837293
{'charpoly_factorization': [[[6084, -468, -66, 6, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 67}
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id: 1837294
{'charpoly_factorization': [[[324, 0, -252, 0, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 71}
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id: 1837295
{'charpoly_factorization': [[[-11, -8, 1], 4]], 'hecke_orbit_code': 40533633630471440, 'p': 73}
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id: 1837296
{'charpoly_factorization': [[[36, 36, 6, -6, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 79}
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id: 1837297
{'charpoly_factorization': [[[5184, 0, 72, 0, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 83}
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id: 1837298
{'charpoly_factorization': [[[12321, 0, 228, 0, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 89}
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id: 1837299
{'charpoly_factorization': [[[8464, -736, 156, 8, 1], 2]], 'hecke_orbit_code': 40533633630471440, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 19, 'hecke_orbit': 10, 'label': '1296.2.s.j', 'level': 1296, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 54049945
{'hecke_orbit_code': 40533633630471440, 'n': 1, 'trace_an': 8}
-
id: 54049946
{'hecke_orbit_code': 40533633630471440, 'n': 2, 'trace_an': 0}
-
id: 54049947
{'hecke_orbit_code': 40533633630471440, 'n': 3, 'trace_an': 0}
-
id: 54049948
{'hecke_orbit_code': 40533633630471440, 'n': 4, 'trace_an': 0}
-
id: 54049949
{'hecke_orbit_code': 40533633630471440, 'n': 5, 'trace_an': 0}
-
id: 54049950
{'hecke_orbit_code': 40533633630471440, 'n': 6, 'trace_an': 0}
-
id: 54049951
{'hecke_orbit_code': 40533633630471440, 'n': 7, 'trace_an': -12}
-
id: 54049952
{'hecke_orbit_code': 40533633630471440, 'n': 8, 'trace_an': 0}
-
id: 54049953
{'hecke_orbit_code': 40533633630471440, 'n': 9, 'trace_an': 0}
-
id: 54049954
{'hecke_orbit_code': 40533633630471440, 'n': 10, 'trace_an': 0}
-
id: 54049955
{'hecke_orbit_code': 40533633630471440, 'n': 11, 'trace_an': 0}
-
id: 54049956
{'hecke_orbit_code': 40533633630471440, 'n': 12, 'trace_an': 0}
-
id: 54049957
{'hecke_orbit_code': 40533633630471440, 'n': 13, 'trace_an': -4}
-
id: 54049958
{'hecke_orbit_code': 40533633630471440, 'n': 14, 'trace_an': 0}
-
id: 54049959
{'hecke_orbit_code': 40533633630471440, 'n': 15, 'trace_an': 0}
-
id: 54049960
{'hecke_orbit_code': 40533633630471440, 'n': 16, 'trace_an': 0}
-
id: 54049961
{'hecke_orbit_code': 40533633630471440, 'n': 17, 'trace_an': 0}
-
id: 54049962
{'hecke_orbit_code': 40533633630471440, 'n': 18, 'trace_an': 0}
-
id: 54049963
{'hecke_orbit_code': 40533633630471440, 'n': 19, 'trace_an': 0}
-
id: 54049964
{'hecke_orbit_code': 40533633630471440, 'n': 20, 'trace_an': 0}
-
id: 54049965
{'hecke_orbit_code': 40533633630471440, 'n': 21, 'trace_an': 0}
-
id: 54049966
{'hecke_orbit_code': 40533633630471440, 'n': 22, 'trace_an': 0}
-
id: 54049967
{'hecke_orbit_code': 40533633630471440, 'n': 23, 'trace_an': 0}
-
id: 54049968
{'hecke_orbit_code': 40533633630471440, 'n': 24, 'trace_an': 0}
-
id: 54049969
{'hecke_orbit_code': 40533633630471440, 'n': 25, 'trace_an': 4}
-
id: 54049970
{'hecke_orbit_code': 40533633630471440, 'n': 26, 'trace_an': 0}
-
id: 54049971
{'hecke_orbit_code': 40533633630471440, 'n': 27, 'trace_an': 0}
-
id: 54049972
{'hecke_orbit_code': 40533633630471440, 'n': 28, 'trace_an': 0}
-
id: 54049973
{'hecke_orbit_code': 40533633630471440, 'n': 29, 'trace_an': 0}
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