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mf_newforms • Show schema
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{'Nk2': 1728, 'analytic_conductor': 8.434395688071287, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [27, 3, [2], [1]], 'cm_discs': [], 'conrey_index': 10, 'dim': 12, 'field_disc': 91531093176953551602105996844944, 'field_disc_factorization': [[2, 4], [3, 6], [3527, 2], [25116268057, 2]], 'field_poly': [754412211, -449098992, 513267363, -131054670, 72369348, -8342916, 3002887, -192378, 50808, -1820, 375, -6, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 137573171227, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2677850419968, 'hecke_ring_index_factorization': [[2, 8], [3, 21]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '27.8.c.a', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '9.8.c.a', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{1}+\\beta _{6}+\\beta _{7})q^{2}+(-52+3\\beta _{6}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '27.8.c', 'trace_display': [9, 0, 180, -84], 'trace_hash': 1769723629376072799, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.811', 'prec': 20}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1728, 'analytic_conductor': 8.434395688071287, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [27, 3, [2], [1]], 'conrey_index': 10, 'cusp_dim': 36, 'dim': 12, 'eis_dim': 12, 'eis_new_dim': 4, 'hecke_cutter_primes': [], 'hecke_orbit_code': 137573171227, 'hecke_orbit_dims': [12], 'label': '27.8.c', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 48, 'mf_new_dim': 16, 'num_forms': 1, 'prim_orbit_index': 3, 'relative_dim': 6, 'sturm_bound': 24, 'trace_bound': 0, 'trace_display': [9, 0, 180, -84], 'traces': [12, 9, 0, -321, 180, 0, -84, -5922, 0, 252, 8460, 0, -1848, 16272, 0, -12417, -30564, 0, 24432, 40788, 0, -35001, 51588, 0, 4746, -536472, 0, 75516, 414648, 0, 8196, 1048977, 0, 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'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 1585947
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171227, 'source_is_minimal': False, 'source_label': '27.8.c.a.19.2', 'source_level': 27, 'target_conrey_index': 19, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137573171227, 'target_is_minimal': False, 'target_label': '27.8.c.a.19.2', 'target_level': 27, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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id: 1585948
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171227, 'source_is_minimal': False, 'source_label': '27.8.c.a.19.2', 'source_level': 27, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 137573171209, 'target_is_minimal': True, 'target_label': '9.8.c.a.7.5', 'target_level': 9, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 1585949
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171227, 'source_is_minimal': False, 'source_label': '27.8.c.a.19.2', 'source_level': 27, 'target_conrey_index': 289, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007749144773040, 'target_is_minimal': False, 'target_label': '432.8.i.c.289.5', 'target_level': 432, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 1585950
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171227, 'source_is_minimal': False, 'source_label': '27.8.c.a.19.2', 'source_level': 27, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398643699793, 'target_is_minimal': False, 'target_label': '81.8.a.e.1.2', 'target_level': 81, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 1585951
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171227, 'source_is_minimal': False, 'source_label': '27.8.c.a.19.2', 'source_level': 27, 'target_conrey_index': 10, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137573171227, 'target_is_minimal': False, 'target_label': '27.8.c.a.10.2', 'target_level': 27, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 8}
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id: 1585952
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171227, 'source_is_minimal': False, 'source_label': '27.8.c.a.19.2', 'source_level': 27, 'target_conrey_index': 4, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 137573171209, 'target_is_minimal': True, 'target_label': '9.8.c.a.4.5', 'target_level': 9, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 8}
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id: 1585953
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171227, 'source_is_minimal': False, 'source_label': '27.8.c.a.19.2', 'source_level': 27, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007199388958801, 'target_is_minimal': False, 'target_label': '81.8.a.c.1.5', 'target_level': 81, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 8}
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id: 1585954
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171227, 'source_is_minimal': False, 'source_label': '27.8.c.a.19.2', 'source_level': 27, 'target_conrey_index': 97, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749144772752, 'target_is_minimal': False, 'target_label': '144.8.i.c.97.1', 'target_level': 144, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 8}
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id: 1585955
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171227, 'source_is_minimal': False, 'source_label': '27.8.c.a.19.2', 'source_level': 27, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749144772752, 'target_is_minimal': False, 'target_label': '144.8.i.c.49.1', 'target_level': 144, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 8}
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id: 1585956
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 137573171227, 'source_is_minimal': False, 'source_label': '27.8.c.a.19.2', 'source_level': 27, 'target_conrey_index': 145, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007749144773040, 'target_is_minimal': False, 'target_label': '432.8.i.c.145.5', 'target_level': 432, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 8}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 103475
{'charpoly_factorization': [[[145838444544, 113338248192, 110682402048, -15255205632, 4207749120, -116748864, 35538480, -755568, 222048, -1512, 585, -9, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 2}
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id: 103476
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 137573171227, 'p': 3}
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id: 103477
{'charpoly_factorization': [[[1007684923722527289600000000, 32975408015055149040000000, 770322599150743467000000, 9703378327631394825000, 94903969264929590625, 503995503987616500, 2389294939761450, 3178916244360, 37979473779, 26226720, 248202, -180, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 5}
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id: 103478
{'charpoly_factorization': [[[10459315992515420330835972645957904, 76303157503774935880130027348928, 430636108218325870429141699332, 1122369414627823298921855920, 2520400110642230948048889, 2600197356720331801188, 4277692297206463254, 3077338094170704, 5387478050331, 1770885760, 2563662, 84, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 7}
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id: 103479
{'charpoly_factorization': [[[8306287179539574370328692849145537002881, 105862996604961582268773545899935945300, 1462024333900926050508865392229610235, -1507941333844013440173732029786844, 1086470204306592379427686371150, -431935772839180583026239180, 134075348713940307241671, -27336384336310742700, 4880947283718030, -604367457084, 91186875, -8460, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 11}
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id: 103480
{'charpoly_factorization': [[[5085445974338393482779403355200965736971664, -35051645107674800809397596054860691256016, 258292838144500893425035363564189182108, 114237114509010431062691971445589340, 57346984512218882610883066352121, 4434423321392220748970261556, 1393845918500434526202318, 23756247588230745876, 28247038051483755, 31523289448, 191302374, 1848, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 13}
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id: 103481
{'charpoly_factorization': [[[-166492700082847130382576, 210520402376070624768, 23819070253947912, -6928758379224, -484771311, 15282, 1], 2]], 'hecke_orbit_code': 137573171227, 'p': 17}
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id: 103482
{'charpoly_factorization': [[[16800857993345791317702400, -4097703949275237392640, -6177865427566176, 47934324957872, -2178600105, -12216, 1], 2]], 'hecke_orbit_code': 137573171227, 'p': 19}
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id: 103483
{'charpoly_factorization': [[[736381078280459663954858347598848252598027776385722871184, -49283317441494281941295809409994432889135169940834144, 2753156478801150757898098800144708600077413740660, -69982152299845159884448822604167905114945192, 1796821146845599021788990301212167299737, -25456031861643700157136654371508588, 543091652427864043992008690550, -5937168340897754325716664, 112476803303472907275, -716527050576912, 12697786062, -51588, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 23}
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id: 103484
{'charpoly_factorization': [[[532057724244295754588874856393480417685747998779865368432144, 1793012666127803441581246237521180897146547834733082064, 358494316191701633922239921454550927774161007138476, -6166726967055558886237643492429950535817630732, 198342056351626545237500580009243833905785, -2131821655287833319229796606089628868, 31842340738418692384132677541038, -273117881403612424315680804, 3242644481797807783995, -22028720301269064, 135268599366, -414648, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 29}
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id: 103485
{'charpoly_factorization': [[[23468844393856368237160903197166690982318875493617338009856, -161763910076662215338637419060150348900759319742160640, 65296809440083631260703252885623700091911988723408, -458544663543877951323950904303820121555594192, 167961074057218857913908554596128005285793, -1083625354283473284305735227495964292, 37518058541431370477212451926602, 212651856506884780294366752, 4404523265113811643027, 6451569859919728, 69691718442, -8196, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 31}
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id: 103486
{'charpoly_factorization': [[[17418862107440803407817401220864, -491456418650607169453513728, 3376495561527784807440, 11815889715571808, -141218470488, -69672, 1], 2]], 'hecke_orbit_code': 137573171227, 'p': 37}
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id: 103487
{'charpoly_factorization': [[[45282851761795003502607028646500086798364838712085132110417959361, -1308932986062708434968739949989216622997543807685981464070526, 23044119915412767160853041429352395772108645773670707941, -260594030007855346980578318759333581206720731999802, 2170219916990119452869100761131178044450919754, -13285411991582203549964490915730935712374, 62587178561807167763410799103349101, -223120544354028216133251542262, 612274278522700618321482, -1235551527278951994, 1831713942501, -1731582, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 41}
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id: 103488
{'charpoly_factorization': [[[27557979075100619877206901604279081049325564229900313002799569, 4223518966170785770733405475457351039976098268637468140844, 465914446457149025981936849850434297992081968433314915, 24590163770183995994572536495547082575656744874492, 951706156022632486241703505145667946349483982, 11700297312709616840180193146338668890508, 118292993998555439195041524944799615, -188492481328851796536573505236, 597026475349547487798510, -320366815838863268, 878668216707, -408372, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 43}
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id: 103489
{'charpoly_factorization': [[[564724551267362763110391658154113550075443846596843957536876231631504, -134911033797841013321103607511119419383154764011429818521069088, 16177412402239211011155587205188176429733671601551057688916, -78650823986862031946102847926212465503601280861946168, 484245253345795942429281853368351456338652873273, -1224318287662512031253410828885444282857972, 2685766956135316130486276524031295366, -3158131682027764997210818564776, 3802096323364028228989947, -2592701717579400816, 3200682807486, -1631484, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 47}
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id: 103490
{'charpoly_factorization': [[[5402882262492230209304996929906944, 319677840433138846410991027584, 717530329340506736539920, -1454104216442591136, -1718420349240, 1417824, 1], 2]], 'hecke_orbit_code': 137573171227, 'p': 53}
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id: 103491
{'charpoly_factorization': [[[741632559097749766198360000916527462515255515250151505454627385823045889, -921636073053167347585611433727903541296877373593255043385839613556, 7611528441767130382560020642513397762805818126800561204841723, -15889963258164650991115244467284025602227465800301227332, 75461035095936051954203581783788223460242882034190, -116552773597117181567511079397216928272109012, 155721248325644185498530742725132759303, -99957432740648405328284883994548, 60039116436590650856661966, -17716941175833463716, 9122111226171, -2055636, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 59}
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id: 103492
{'charpoly_factorization': [[[75544288050274163470084972631003866440905530419257314535437810810064896, -1372202721152537468447163716706643462828320977198492035434374645760, 24163544836924385957820593527385376064527968443072256907449664, -21842006494760707608512221231751963723268112237997005664, 79158123924418452652374507371012193229357118726337, 85898665691493807748861658354851311347752668, 185396593902194633159023101111146397162, 87618712074763509936713217535056, 63933514841235295809962163, 16526313380192931760, 12050151578922, 2723196, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 61}
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id: 103493
{'charpoly_factorization': [[[21087592025060443804195299967622887076864699729158154446652597875918042849, -6863354249731070651628548239129700130460185409972267190974673820252, 191488341557478176428868885257434349370041954250886987299685483, 403416201782544053464337679454134873835254453166846268212, 1584371673946061547139962147676719239382190845557070, 1589424336170185980799661129756943411309699204, 1906731472648763990240526661856883747735, -158897189458482989310858781601532, 262761815752475304369423438, -25941409321770929228, 27229651719915, -3806556, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 67}
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id: 103494
{'charpoly_factorization': [[[8106591877797115679954159136162484224, 1027521401136604152359934136320, -33842673785975575338028800, -40787314436585096064, -13890082998960, 1204200, 1], 2]], 'hecke_orbit_code': 137573171227, 'p': 71}
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id: 103495
{'charpoly_factorization': [[[344405939156137638975499835601692582416, 508719564021119403164672035754304, 19551044827333362061416840, -131329755466299389896, -22545849061407, 5335026, 1], 2]], 'hecke_orbit_code': 137573171227, 'p': 73}
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id: 103496
{'charpoly_factorization': [[[115301280451088568655287417865676719071681972594461466791277558988521689344, 347258283302071949470329339847703826416776249072032019247232831990144, 1284629274315903113446486823132684696049006372168870042774130608, 205746535059890520759556555460283049944573923362381970008, 1792198905444227315374317579463430769648689676758145, 449931636734679693610235255117695233149289108, 1835293370063602117691516071867469050218, -145679385673855035689358042409608, 315373721273041675237600851, -32850825669858801056, 45100854651306, -6020916, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 79}
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id: 103497
{'charpoly_factorization': [[[584572611721233025531740549625894198554844070491425054750133846016805982464, -905286105657186835690711774555243340629302228106708029937609646690304, 3116804664619873736679500287792675284487912055509453010599541904, 2529177686422923618208268996309973037451827521423735917184, 4478872621362591071261962623387596025339800754490593, 2058727477785945970351007601301784217703916364, 2320497620412471281049992686178160621354, 1395343020485100849261590843187408, 767699100404821104428532627, 252838391807765147472, 65388859118154, 9605052, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 83}
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id: 103498
{'charpoly_factorization': [[[-147669584185232509339792295886968971200, 106294039174738850913024266963520, 455382261468937725280156656, 235259565886362197088, -2412113525892, -12315132, 1], 2]], 'hecke_orbit_code': 137573171227, 'p': 89}
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id: 103499
{'charpoly_factorization': [[[8353119227195047912808059837475416562717836707147438129029283782807300015230429969, 2521043447416492244808744103605346649096550758043930112468500292884773008518, 1226367582542975128778268347878567730150315182293654112252551284416125, 87032754322398483965546303280116631446316542884239087997350946, 47326113120255786259319180806003194447890497539485419722, -564635425283459262898260199511132000425571118594, 1812920684096288873227763246372670529619925, -102302063453738421290736928146263058, 27398494529805250674614083050, -1075877134109665680686, 241223734290333, -9977226, 1], 1]], 'hecke_orbit_code': 137573171227, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '27.8.c.a', 'level': 27, 'portrait': 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', 'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 6101473
{'hecke_orbit_code': 137573171227, 'n': 1, 'trace_an': 12}
-
id: 6101474
{'hecke_orbit_code': 137573171227, 'n': 2, 'trace_an': 9}
-
id: 6101475
{'hecke_orbit_code': 137573171227, 'n': 3, 'trace_an': 0}
-
id: 6101476
{'hecke_orbit_code': 137573171227, 'n': 4, 'trace_an': -321}
-
id: 6101477
{'hecke_orbit_code': 137573171227, 'n': 5, 'trace_an': 180}
-
id: 6101478
{'hecke_orbit_code': 137573171227, 'n': 6, 'trace_an': 0}
-
id: 6101479
{'hecke_orbit_code': 137573171227, 'n': 7, 'trace_an': -84}
-
id: 6101480
{'hecke_orbit_code': 137573171227, 'n': 8, 'trace_an': -5922}
-
id: 6101481
{'hecke_orbit_code': 137573171227, 'n': 9, 'trace_an': 0}
-
id: 6101482
{'hecke_orbit_code': 137573171227, 'n': 10, 'trace_an': 252}
-
id: 6101483
{'hecke_orbit_code': 137573171227, 'n': 11, 'trace_an': 8460}
-
id: 6101484
{'hecke_orbit_code': 137573171227, 'n': 12, 'trace_an': 0}
-
id: 6101485
{'hecke_orbit_code': 137573171227, 'n': 13, 'trace_an': -1848}
-
id: 6101486
{'hecke_orbit_code': 137573171227, 'n': 14, 'trace_an': 16272}
-
id: 6101487
{'hecke_orbit_code': 137573171227, 'n': 15, 'trace_an': 0}
-
id: 6101488
{'hecke_orbit_code': 137573171227, 'n': 16, 'trace_an': -12417}
-
id: 6101489
{'hecke_orbit_code': 137573171227, 'n': 17, 'trace_an': -30564}
-
id: 6101490
{'hecke_orbit_code': 137573171227, 'n': 18, 'trace_an': 0}
-
id: 6101491
{'hecke_orbit_code': 137573171227, 'n': 19, 'trace_an': 24432}
-
id: 6101492
{'hecke_orbit_code': 137573171227, 'n': 20, 'trace_an': 40788}
-
id: 6101493
{'hecke_orbit_code': 137573171227, 'n': 21, 'trace_an': 0}
-
id: 6101494
{'hecke_orbit_code': 137573171227, 'n': 22, 'trace_an': -35001}
-
id: 6101495
{'hecke_orbit_code': 137573171227, 'n': 23, 'trace_an': 51588}
-
id: 6101496
{'hecke_orbit_code': 137573171227, 'n': 24, 'trace_an': 0}
-
id: 6101497
{'hecke_orbit_code': 137573171227, 'n': 25, 'trace_an': 4746}
-
id: 6101498
{'hecke_orbit_code': 137573171227, 'n': 26, 'trace_an': -536472}
-
id: 6101499
{'hecke_orbit_code': 137573171227, 'n': 27, 'trace_an': 0}
-
id: 6101500
{'hecke_orbit_code': 137573171227, 'n': 28, 'trace_an': 75516}
-
id: 6101501
{'hecke_orbit_code': 137573171227, 'n': 29, 'trace_an': 414648}
-
id: 6101502
{'hecke_orbit_code': 137573171227, 'n': 30, 'trace_an': 0}
-
id: 6101503
{'hecke_orbit_code': 137573171227, 'n': 31, 'trace_an': 8196}
-
id: 6101504
{'hecke_orbit_code': 137573171227, 'n': 32, 'trace_an': 1048977}
-
id: 6101505
{'hecke_orbit_code': 137573171227, 'n': 33, 'trace_an': 0}
-
id: 6101506
{'hecke_orbit_code': 137573171227, 'n': 34, 'trace_an': -106623}
-
id: 6101507
{'hecke_orbit_code': 137573171227, 'n': 35, 'trace_an': -2210616}
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