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mf_newforms • Show schema
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{'Nk2': 5850, 'analytic_conductor': 17.711217183419297, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': -1, 'char_values': [650, 4, [27, 301], [4, 1]], 'cm_discs': [], 'conrey_index': 151, 'dim': 14, 'field_disc': -2037017955517941768738766952857600, 'field_disc_factorization': [[-1, 1], [2, 28], [5, 2], [47, 2], [38791, 2], [302189, 2]], 'field_poly': [193600, 0, 1045476, 0, 1000960, 0, 303080, 0, 40556, 0, 2668, 0, 84, 0, 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, [-440, -1094, -172, 452, 20, -42, 0, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49540283146175114, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 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mf_hecke_cc • Show schema
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-0.33450545477789284, 0.037870010091797975, -0.20388148417474294, -0.3383870185296458], 'char_orbit_index': 11, 'conrey_index': 551, 'dual_conrey_index': 151, 'dual_embedding_index': 6, 'dual_embedding_m': 6, 'embedding_index': 6, 'embedding_m': 13, 'embedding_root_imag': 3.848396754650455, 'embedding_root_real': 0.0, 'hecke_orbit': 12, 'hecke_orbit_code': 49540283146175114, 'label': '650.3.k.l.551.6', 'level': 650, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 5850, 'analytic_conductor': 17.711217183419297, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': -1, 'char_values': [650, 4, [27, 301], [4, 1]], 'conrey_index': 151, 'cusp_dim': 396, 'dim': 86, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 687245099658, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 8, 8, 12, 12, 14, 14], 'label': '650.3.k', 'level': 650, '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, 13], 'level_radical': 130, 'mf_dim': 444, 'mf_new_dim': 86, 'num_forms': 13, 'prim_orbit_index': 4, 'relative_dim': 43, 'sturm_bound': 315, 'trace_bound': 3, 'trace_display': [-2, 0, 0, 4], 'traces': [86, -2, 0, 0, 0, 0, 4, 4, 234, 0, -20, 0, 24, 8, 0, -344, 0, -14, 28, 0, -136, 24, 0, 0, 0, -6, -48, 8, 192, 0, 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-5480, -192, 0, 8064, 0, 8700, -3224, 1938, -6848, 0, -1744, 566, -4480, 832, 0, 0, -5922, 0, 992, 0, 672, -5688, 0, -9912, 0, 6012, 1736, -5376, 0, 0, 0, 2840, 2212, -4656, 0, 0, -6760, -2208, -848, 0, 6400, 0, 4312, 0, 0, 12296, -1248, -6752, 0, 0, -1084, -5712, -1120, 17544, 0, -12832, 0, 5108, 3648, 0, -14296, 0, 512, 1562, 0, -5660, 2112, 0, 3688, 0, -4292, 7748, 2896, -5712, 0, -11950, 12496, 2752, -688, 0, 0, 972, 0, -2314, 0, -6544, 3552, 0, -5180, 0, -2392, 2656, 1272, 0, 0, 0, -5408, -14064, 6308, 0, 0, 780, -1340, 4896, 0, -1104, 0, -1488, 0, 0, -336, 1814, -9600, 0, 0, 2114, 10936, -9028, 1536, 0, 768, 0, 280, -2880, 0, 3864, 0, 3768, -9104, 0, 4048, -4836, 0, -6152, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 47434168
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 551, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 49540283146175114, 'source_is_minimal': False, 'source_label': '650.3.k.l.551.6', 'source_level': 650, 'target_conrey_index': 551, 'target_dim': 14, 'target_embedding_index': 6, 'target_hecke_orbit_code': 49540283146175114, 'target_is_minimal': False, 'target_label': '650.3.k.l.551.6', 'target_level': 650, 'twist_class_label': '130.3.f.a.99.6', 'twist_class_level': 130, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 47434169
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 551, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 49540283146175114, 'source_is_minimal': False, 'source_label': '650.3.k.l.551.6', 'source_level': 650, 'target_conrey_index': 109, 'target_dim': 14, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343647715458, 'target_is_minimal': True, 'target_label': '130.3.f.a.109.2', 'target_level': 130, 'twist_class_label': '130.3.f.a.99.6', 'twist_class_level': 130, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 47434170
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 551, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 49540283146175114, 'source_is_minimal': False, 'source_label': '650.3.k.l.551.6', 'source_level': 650, 'target_conrey_index': 109, 'target_dim': 14, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503943275085954, 'target_is_minimal': True, 'target_label': '130.3.f.b.109.6', 'target_level': 130, 'twist_class_label': '130.3.f.a.99.6', 'twist_class_level': 130, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 47434171
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 551, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 49540283146175114, 'source_is_minimal': False, 'source_label': '650.3.k.l.551.6', 'source_level': 650, 'target_conrey_index': 551, 'target_dim': 14, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043882773545610, 'target_is_minimal': False, 'target_label': '650.3.k.m.551.2', 'target_level': 650, 'twist_class_label': '130.3.f.a.99.6', 'twist_class_level': 130, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 47434172
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 551, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 49540283146175114, 'source_is_minimal': False, 'source_label': '650.3.k.l.551.6', 'source_level': 650, 'target_conrey_index': 151, 'target_dim': 14, 'target_embedding_index': 6, 'target_hecke_orbit_code': 49540283146175114, 'target_is_minimal': False, 'target_label': '650.3.k.l.151.6', 'target_level': 650, 'twist_class_label': '130.3.f.a.99.6', 'twist_class_level': 130, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 47434173
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 551, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 49540283146175114, 'source_is_minimal': False, 'source_label': '650.3.k.l.551.6', 'source_level': 650, 'target_conrey_index': 99, 'target_dim': 14, 'target_embedding_index': 6, 'target_hecke_orbit_code': 343647715458, 'target_is_minimal': True, 'target_label': '130.3.f.a.99.6', 'target_level': 130, 'twist_class_label': '130.3.f.a.99.6', 'twist_class_level': 130, 'twisting_char_label': '65.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 47434174
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 551, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 49540283146175114, 'source_is_minimal': False, 'source_label': '650.3.k.l.551.6', 'source_level': 650, 'target_conrey_index': 151, 'target_dim': 14, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043882773545610, 'target_is_minimal': False, 'target_label': '650.3.k.m.151.2', 'target_level': 650, 'twist_class_label': '130.3.f.a.99.6', 'twist_class_level': 130, 'twisting_char_label': '65.34', 'twisting_conrey_index': 34, 'weight': 3}
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id: 47434175
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 551, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 49540283146175114, 'source_is_minimal': False, 'source_label': '650.3.k.l.551.6', 'source_level': 650, 'target_conrey_index': 99, 'target_dim': 14, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943275085954, 'target_is_minimal': True, 'target_label': '130.3.f.b.99.2', 'target_level': 130, 'twist_class_label': '130.3.f.a.99.6', 'twist_class_level': 130, 'twisting_char_label': '65.47', 'twisting_conrey_index': 47, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 1167625
{'charpoly_factorization': [[[2, 2, 1], 7]], 'hecke_orbit_code': 49540283146175114, 'p': 2}
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id: 1167626
{'charpoly_factorization': [[[-440, -1094, -172, 452, 20, -42, 0, 1], 2]], 'hecke_orbit_code': 49540283146175114, 'p': 3}
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id: 1167627
{'charpoly_factorization': [[[0, 1], 14]], 'hecke_orbit_code': 49540283146175114, 'p': 5}
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id: 1167628
{'charpoly_factorization': [[[63476270208, 58335516096, 26805548176, 2804394944, 3695744, -1511872, 58999264, 410992, 2048, 5776, 19184, 64, 0, 0, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 7}
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id: 1167629
{'charpoly_factorization': [[[35146428192, 32191311504, 14742330724, 1567276048, 241826528, 213090104, 128682788, 8344864, 189128, 6480, 59292, 2068, 32, -8, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 11}
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id: 1167630
{'charpoly_factorization': [[[3937376385699289, 46596170244962, -34602481454099, 867937487144, 162716558199, -20531760314, -155514645, 185708016, -920205, -718874, 33711, 1064, -251, 2, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 13}
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id: 1167631
{'charpoly_factorization': [[[44375276239360000, 0, 2580511716357184, 0, 40843362430784, 0, 291974816368, 0, 1097137472, 0, 2245292, 0, 2364, 0, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 17}
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id: 1167632
{'charpoly_factorization': [[[3545750302629152, 34598782759184, 168804296164, 1419166981632, 1836706868672, 41904694856, 605464204, 249036120, 80202088, 2825416, 57416, 4788, 968, 44, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 19}
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id: 1167633
{'charpoly_factorization': [[[151863128294440000, 0, 9780141283673124, 0, 190565333780944, 0, 1587226198736, 0, 5830414220, 0, 8150704, 0, 4776, 0, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 23}
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id: 1167634
{'charpoly_factorization': [[[-6769663296, -404084540, 48329400, 2210588, -82228, -3016, 36, 1], 2]], 'hecke_orbit_code': 49540283146175114, 'p': 29}
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id: 1167635
{'charpoly_factorization': [[[8178620461876980000, 3280193611687002000, 657792483482164900, 71204394288795360, 4522801869295872, 147384370379624, 5308606689764, 358195783232, 21958604360, 662381912, 10386820, 40948, 2048, 64, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 31}
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id: 1167636
{'charpoly_factorization': [[[1648626601358016288, 2547260619500490336, 1967861205901095696, -217813911504688512, 11726518101571584, -248370559120512, 7658147578752, -544707514848, 29490795896, -643525656, 7530396, -71920, 4802, -98, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 37}
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id: 1167637
{'charpoly_factorization': [[[50656175495140931094528, -8254282089064111540224, 672506087756073296896, -30299904914391985152, 833071557175578624, -14034205443602432, 288981859721472, -9250635835648, 247222071296, -3625763936, 33559776, -364480, 9522, -138, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 41}
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id: 1167638
{'charpoly_factorization': [[[14203783491158118400, 0, 3908316088266673956, 0, 33262808335108160, 0, 90710849434160, 0, 99802501996, 0, 50120648, 0, 11584, 0, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 43}
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id: 1167639
{'charpoly_factorization': [[[1824204110764599111196800, 84214116314601770424000, 1943866189314944410000, 3669627507546774400, 918499532003002112, 43653942671415360, 1040218631448000, 1394207570256, 47858068608, 2630987200, 71837264, -13296, 800, 40, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 47}
-
id: 1167640
{'charpoly_factorization': [[[-80908006400, 3031706752, 390649856, -1889696, -446624, -3952, 88, 1], 2]], 'hecke_orbit_code': 49540283146175114, 'p': 53}
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id: 1167641
{'charpoly_factorization': [[[1891850541780299659808, 485218238911280566096, 62223926830554509476, -12086655264933164784, 1928485260358576800, 108104584783493592, 2907210764133420, 19364735603832, 53122226632, 1581897392, 102929168, 459012, 200, -20, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 59}
-
id: 1167642
{'charpoly_factorization': [[[-398456455688, 351685924, 919410960, 6050816, -557532, -5372, 90, 1], 2]], 'hecke_orbit_code': 49540283146175114, 'p': 61}
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id: 1167643
{'charpoly_factorization': [[[17374426977982581623993472, -1065650723013786486960576, 32680544368424015503504, -167066091470331177536, 1777745270568157568, -113114191230479360, 4397156581550688, -14926604930448, 50179313408, -2957757552, 148848912, -396496, 32, 8, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 67}
-
id: 1167644
{'charpoly_factorization': [[[16324425654668352980000, 3313038052643429374000, 336190116897756168100, 18726232238566893520, 634931167073719072, 12669006293275912, 235916635972396, 7222477707592, 236235826952, 4355807392, 44205872, 208252, 5000, 100, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 71}
-
id: 1167645
{'charpoly_factorization': [[[35114941159877532100500000, 3208024848251666162100000, 146539095425840354410000, 2376607720206269520000, 12850024864450852800, -186091167079602240, 9799703734019296, 111009753802272, 564549911352, -18957582600, 332340956, 225360, 1458, -54, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 73}
-
id: 1167646
{'charpoly_factorization': [[[-2603398327360, -94433131600, 6846037504, 27945832, -2359784, -11852, 172, 1], 2]], 'hecke_orbit_code': 49540283146175114, 'p': 79}
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id: 1167647
{'charpoly_factorization': [[[1682795485886193980657792, -135755671387038454397120, 5475888920643310291600, -113705853474028694848, 1993184464505674624, -58423578029154016, 2068811047167216, -41511229715184, 555276127776, -7757534368, 187606808, -3599368, 43808, -296, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 83}
-
id: 1167648
{'charpoly_factorization': [[[70028401626825535875200, -587458316682470299520, 2464052197552960576, -4998031410789305856, 559695610724787808, -14730797095007392, 282239328582704, -16307085262080, 1026586928280, -34473275880, 710503884, -9335904, 79202, -398, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 89}
-
id: 1167649
{'charpoly_factorization': [[[267844303763646283980800, -31462475751207424368640, 1847878350380788781056, 239940902955769618432, 14440351299848955392, 78010153365287424, -1316386560840960, -68463255521792, 3753781488864, -43910158688, 260344560, -336384, 13122, -162, 1], 1]], 'hecke_orbit_code': 49540283146175114, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 12, 'label': '650.3.k.l', 'level': 650, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 56964571
{'hecke_orbit_code': 49540283146175114, 'n': 1, 'trace_an': 14}
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id: 56964572
{'hecke_orbit_code': 49540283146175114, 'n': 2, 'trace_an': -14}
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id: 56964573
{'hecke_orbit_code': 49540283146175114, 'n': 3, 'trace_an': 0}
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id: 56964574
{'hecke_orbit_code': 49540283146175114, 'n': 4, 'trace_an': 0}
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id: 56964575
{'hecke_orbit_code': 49540283146175114, 'n': 5, 'trace_an': 0}
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id: 56964576
{'hecke_orbit_code': 49540283146175114, 'n': 6, 'trace_an': 0}
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