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mf_newforms • Show schema
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{'Nk2': 369, 'analytic_conductor': 1.1171690838772173, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 41, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 8, 'char_parity': -1, 'char_values': [41, 8, [6], [3]], 'cm_discs': [], 'conrey_index': 3, 'dim': 20, 'field_disc': 77917733102874208334109925191270000492544, 'field_disc_factorization': [[2, 42], [17, 2], [7829595471793, 2]], 'field_poly': [776161, 0, 5476470, 0, 12547553, 0, 11863964, 0, 5739482, 0, 1600296, 0, 272678, 0, 28868, 0, 1853, 0, 66, 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': [[2, [776161, 1476556, 1404488, -662872, 4241233, 6117392, 4246040, 810344, 498082, 544480, 347928, 81392, 17494, 10000, 6248, 1528, 229, 52, 32, 8, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874555609129, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 41, 5, -1, 8, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '41.3.e.b', 'level': 41, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [41], 'level_radical': 41, 'minimal_twist': '41.3.e.b', 'prim_orbit_index': 5, 'qexp_display': 'q-\\beta _{12}q^{2}-\\beta _{8}q^{3}+(-\\beta _{1}+\\beta _{6}+\\beta _{7}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '2.2.3.c8', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '41.3.e', 'trace_display': [-8, 4, -12, -4], 'trace_hash': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 369, 'analytic_conductor': 1.1171690838772173, 'char_conductor': 41, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 8, 'char_parity': -1, 'char_values': [41, 8, [6], [3]], 'conrey_index': 3, 'cusp_dim': 24, 'dim': 24, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274928238633, 'hecke_orbit_dims': [4, 20], 'label': '41.3.e', 'level': 41, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [41], 'level_radical': 41, 'mf_dim': 32, 'mf_new_dim': 32, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 6, 'sturm_bound': 10, 'trace_bound': 1, 'trace_display': [-8, 4, -4, -4], 'traces': [24, -8, 4, 0, -4, -16, -4, 36, -12, -8, -4, -76, -48, 88, 8, -56, 4, -8, 44, -40, -80, -108, 0, 324, 0, 40, -32, 60, 24, -200, 0, 176, 176, 20, 76, 96, 104, -380, 12, 0, -116, 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mf_twists_cc • Show schema
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id: 35113266
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 14, 'source_dim': 20, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874555609129, 'source_is_minimal': True, 'source_label': '41.3.e.b.14.3', 'source_level': 41, 'target_conrey_index': 14, 'target_dim': 20, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874555609129, 'target_is_minimal': True, 'target_label': '41.3.e.b.14.3', 'target_level': 41, 'twist_class_label': '41.3.e.b.3.3', 'twist_class_level': 41, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 35113267
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 14, 'source_dim': 20, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874555609129, 'source_is_minimal': True, 'source_label': '41.3.e.b.14.3', 'source_level': 41, 'target_conrey_index': 55, 'target_dim': 20, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504355591946609, 'target_is_minimal': False, 'target_label': '369.3.l.b.55.3', 'target_level': 369, 'twist_class_label': '41.3.e.b.3.3', 'twist_class_level': 41, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 35113268
{'conductor': 41, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 14, 'source_dim': 20, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874555609129, 'source_is_minimal': True, 'source_label': '41.3.e.b.14.3', 'source_level': 41, 'target_conrey_index': 3, 'target_dim': 20, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874555609129, 'target_is_minimal': True, 'target_label': '41.3.e.b.3.3', 'target_level': 41, 'twist_class_label': '41.3.e.b.3.3', 'twist_class_level': 41, 'twisting_char_label': '41.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 35113269
{'conductor': 123, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 14, 'source_dim': 20, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874555609129, 'source_is_minimal': True, 'source_label': '41.3.e.b.14.3', 'source_level': 41, 'target_conrey_index': 208, 'target_dim': 20, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504355591946609, 'target_is_minimal': False, 'target_label': '369.3.l.b.208.3', 'target_level': 369, 'twist_class_label': '41.3.e.b.3.3', 'twist_class_level': 41, 'twisting_char_label': '123.44', 'twisting_conrey_index': 44, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 142200
{'charpoly_factorization': [[[776161, 1476556, 1404488, -662872, 4241233, 6117392, 4246040, 810344, 498082, 544480, 347928, 81392, 17494, 10000, 6248, 1528, 229, 52, 32, 8, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 2}
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id: 142201
{'charpoly_factorization': [[[546217352, -588193392, 688059896, -217072960, 52868356, -113872352, 17845636, 34872448, 10874186, -1063264, -1542264, -337236, 164540, 30888, -1034, -4, 82, -24, 6, -4, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 3}
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id: 142202
{'charpoly_factorization': [[[8340544, 63212544, 239542272, 419734016, 432798368, 269101824, 170903552, 168766688, 161094852, 91248992, 30848256, 5574776, 1168344, 435304, 141768, 23592, 2324, 228, 72, 12, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 5}
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id: 142203
{'charpoly_factorization': [[[1883447522000648, 123698439056272, 1086576344969032, 1244128591505248, 390459455471236, 72259907798160, 54453454591132, 6289470354128, 517234715506, -121153075352, -17846777884, 720341548, 251999780, 11528924, -483218, -119868, 5336, 292, -76, 4, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 7}
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id: 142204
{'charpoly_factorization': [[[317358546892407121928, -133433378753877290960, 20693981876224655592, -3000017554100344208, 757213430263521604, -55620650071300864, 4738125265038068, -254023410720368, 9973273502578, 286364102704, -166948733200, 12031957812, 2723390104, -147684204, 6496142, 439288, -24016, -2092, 32, 12, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 11}
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id: 142205
{'charpoly_factorization': [[[18519097584450503168, 20935688361244659712, 11087168561495390720, 3744033426098531328, 943822471000025344, 173075065450394752, 34230327725357440, 5017298882515648, 543517118963080, 51933356233520, 4325019639624, 234600168128, 3244714244, -1123142896, -38160680, 7375616, 633410, 21972, 958, 48, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 13}
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id: 142206
{'charpoly_factorization': [[[184438225952, -4669171552704, 236093422741344, 711181898883776, 734378058395664, 256561311059328, 44954198874240, 9870247392256, 2445495895184, 154959449952, 28699177200, 339605024, 171582344, 9022304, -2673376, 320384, 89762, 3828, 262, 28, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 17}
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id: 142207
{'charpoly_factorization': [[[499825141022504804267912, -303326929955493161281456, 93060538431656294509144, -18877967524662848030208, 2795190970490215200740, -323141224894634016560, 31347513941045317108, -2640435679914596408, 183662024442406106, -9623140939993528, 355386081490388, -8979406406444, 155530650904, -3112512744, 254469402, -22089152, 1623970, -87252, 3194, -76, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 19}
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id: 142208
{'charpoly_factorization': [[[3628452197699804125889536, 0, 844792658536251454027776, 0, 36271812338729401668096, 0, 556582438245395468032, 0, 3531151763231243584, 0, 11724735223974016, 0, 22626625821008, 0, 26257104528, 0, 17969560, 0, 6624, 0, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 23}
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id: 142209
{'charpoly_factorization': [[[6280289436148483465728, -1655035570282647490560, 691716555389657636352, -415165237738762349568, 107035525038039871744, -12671568337172588416, 1418348559923572352, -220419760471630656, 16409827956744712, 418234782673136, -71609422196168, -2552067982528, 226900343172, 5200903936, 569175984, -37936832, 29330, -24036, 1750, 24, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 29}
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id: 142210
{'charpoly_factorization': [[[13725478275185623723093786624, 0, 811936072730502121067642880, 0, 13655976309412061205168128, 0, 86616294674698575863808, 0, 244480509804371204096, 0, 374774640191855104, 0, 342647612041232, 0, 192828995280, 0, 65627084, 0, 12404, 0, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 31}
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id: 142211
{'charpoly_factorization': [[[85570416372152, 18809275939920, -3656562443936, -145931279288, 26094669354, -633872936, -11613096, 562140, -2334, -104, 1], 2]], 'hecke_orbit_code': 4503874555609129, 'p': 37}
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id: 142212
{'charpoly_factorization': [[[180167782956420929503029846064801, 12432755992233686985336979264436, 526012005045887698358069288250, 19387448622226698050606990828, 640180214253677475401261833, 19439993345189910587205512, 581643841838452902819264, 16339012012731393557752, 449878123516362464342, 12076044392698687904, 305951829842193420, 7183845563770784, 159206006281622, 3439716516472, 72842741184, 1448296712, 28372393, 511148, 8250, 116, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 41}
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id: 142213
{'charpoly_factorization': [[[24929235995944382888528207478784, -2089193330378188399140604215296, 87542369377199985682048090112, 8973337383519412516429938688, 652851087919481877712930816, -10769331167743968946577408, 224935720512103242729472, 16093429221332554132224, 779242146472127709200, -7561554859233020352, 125648987869570176, 7625323808938176, 283052264006832, -1564717487200, 21548316288, 1139222768, 32479352, -62656, 800, 40, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 43}
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id: 142214
{'charpoly_factorization': [[[775967789835322221705992, -6831735771007119059177552, 18327768774305558550883960, -4616061414431260243178032, 1999580800013069200975140, -227997675547994156383408, 70683046645768726534364, -10814257724767403986320, 557368930269534934186, -21962261015898473328, 4345320287754805564, -18050082835200364, -853625458307456, 15003870067072, 30617744938, -3289284760, 47385442, 622164, -754, 64, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 47}
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id: 142215
{'charpoly_factorization': [[[458752233254129298714329489408, 113823827446428528012004204544, 34832306726173089591950231552, 711861120621339027490996224, -210680218755544131213950720, -14266438354217432387709952, 454029683817594976525248, 121150280386451042422528, 8786952886065412754248, 333059496732858045872, 8432925073631489048, 162806067444642592, 2557530446621380, 32274362301280, 277722256272, -216883136, -38731342, -300292, 4486, 120, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 53}
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id: 142216
{'charpoly_factorization': [[[-766359853741024, -268992930298688, 5255004554688, 2129171364928, 53082013000, -1682497280, -70500924, -206152, 18556, 256, 1], 2]], 'hecke_orbit_code': 4503874555609129, 'p': 59}
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id: 142217
{'charpoly_factorization': [[[4175992443212945725217270861824, 5118531660382585283984638304256, 3136902989482125029498563141632, 505376065993963751655965888512, 44438790464762522189981753088, 2352971263478997652327721984, 82870669590028952691376640, 2168683738752813208132992, 61182951791779324528912, 2075297456431557219840, 62957351371480332032, 1393488848176101408, 23159167915162512, 341273933309744, 5699169869728, 99653108208, 1439664788, 14978336, 105800, 460, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 61}
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id: 142218
{'charpoly_factorization': [[[13164433507203022784161676346362888, -509845370078329168667811055840688, 52688470148078020885796131658072, 1142433309527007441359781075600, -10431806878875671107774710716, 91742315990933455858758544, 12448352025598363780410044, -476985434736366087696088, 5896081654617266164706, -283102847144545513520, 7872800807660355208, 5698843002897148, -441885240946400, -18172742198220, 46439034806, 1385708168, 131248368, -3607884, 43656, -300, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 67}
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id: 142219
{'charpoly_factorization': [[[29741066587175261084835268412552, 2570978068004928471639900155920, -68522212237646075326940580424, -9357328871513167091091400240, 197297661134436333536911844, 17865897682682784128192784, 921430197874381589766508, 169159878158202889490600, 13018811627674070120986, 555042477255969472488, 16972714151695024904, 246663157754563852, 4367533425937252, 38930722379488, 464739807062, -2925460, -63747166, -353680, 7550, 108, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 71}
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id: 142220
{'charpoly_factorization': [[[17411558345177177492963356760328256, -2935177037207292664371797303330176, 247400722811675275875430989573248, -10021386224149697178432524502016, 221320236299197974779836327600, -2561712771032070638522140416, 171057922325217391325675424, -6809954106213457179441904, 143460271973247462175172, -655437733013895746976, 5711001750445517952, -337926628440628552, 10039017245540816, -11873063952960, 27972201320, -5640454192, 237691420, 484540, 1800, -60, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 73}
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id: 142221
{'charpoly_factorization': [[[30360761173119459353653146074888, -23240957018781487073229801735984, 6100001230467601507160250675912, -502032415634067043818359445456, 28884225063328091049708000036, -960430566508658275791359536, 20717258304305996815313876, -405585274888792563400616, 7291034807389442276746, -13727375597695048112, -1635546883737230092, 53091940560951612, 1088657730927944, -54250591436504, 506108601722, -761753888, 108779426, 877036, 15182, 208, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 79}
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id: 142222
{'charpoly_factorization': [[[-4292580934665737344, 966702283858483328, 22040000474753888, -376870369475616, -7363489426520, 51429573040, 922447892, -2938456, -50202, 60, 1], 2]], 'hecke_orbit_code': 4503874555609129, 'p': 83}
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id: 142223
{'charpoly_factorization': [[[6105560351485816827115173951008, -177266813841554065265494759263040, 1501592175573084211116283155943200, 119982342756507338367467800243264, 2080891869012133698637710049680, -22807658006169901612392750528, 1553633447088151246743542496, 9728364585259401249246912, -500668347786425313211184, 4100413187676853091136, 88493345177504743808, -3489329011171409440, 66866298066038760, -939041107617200, 12669923984600, -132336193040, 1111480306, -8545436, 56926, -268, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 89}
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id: 142224
{'charpoly_factorization': [[[799663495619464103807224236478918688, 486483488577287709043356924918783168, 112190562560644180753185342721701920, 11007588730635495874795649570196480, 428221776211477614564609693981712, 2247207647570084500510824834176, 37913039207807015275516574656, -999487913758113245000001344, 1137400738301599335389776, -56077380957987387271712, 1623964198251195645232, 3806382467669953248, 80070238337113736, -295592486172640, -423974087184, -8283519440, 21078098, 439852, 20746, 120, 1], 1]], 'hecke_orbit_code': 4503874555609129, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '41.3.e.b', 'level': 41, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 22143859
{'hecke_orbit_code': 4503874555609129, 'n': 1, 'trace_an': 20}
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id: 22143860
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