-
lfunc_lfunctions • Show schema
Hide schema
{'Lhash': '286100911835721784312746685275,1696438975158429478260427899111', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 4096, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 29886.53168256653, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.5', 'prec': 10}, 'bad_lfactors': [[3, [1]], [5, [1]]], 'bad_primes': [3, 5], 'central_character': '225.1', 'coefficient_field': '1.1.1.1', 'conductor': 50625, 'conductor_radical': 15, 'degree': 4, 'euler_factors': [[1, 0, -4096, 0, 4194304], [1], [1], [1, 0, 1956649739, 0, 3909821048582988049], [1, 0, 570623341222, 0, 81402749386839761113321], [1, 0, 1471948630151, 0, 3211838877954855105157369], [1, 0, -68543792615266, 0, 1174562876521148458974062689], [1, 41163802, 656595166570239, 4795181952215025068638, 13569980418174090907801371961], [1, 0, -1905619515827854, 0, 907846434775996175406740561329], [1, 0, 24401019531411658, 0, 148852438543083302439338564577241], [1, -592953886, 138715531523434911, -15066055113064463970623266, 645590698195138073036733040138561], [1, 0, 257128060064352074, 0, 31654680139659126296833481434130569], [1, 0, 1100658063432496882, 0, 302862043149743582494593171234930481], [1, 0, 1268503014678232811, 0, 863586854220408743801513785592407849], [1, 0, -4944318430168024606, 0, 6111571184724799803076702357055363809], [1, 0, -18538071858744383194, 0, 85915027059992607611268303810877410409], [1, 0, 60311776889475685318, 0, 909377607891473342964601076981440190281], [1, 25954585826, 255437966572671702891, 1129385709271504393619213418986, 1893461025894826042494075073080422272921], [1, 0, -208842393923166725941, 0, 14915769363385151583217201855136979828889], [1, 0, 462244584243403130542, 0, 53417513915589153425653513253411473303441], [1, 0, -235194739555780163854, 0, 98424433237708439716398638596388483974129], [1, 65771664808, 2577465593959018276974, 49196798184474768193434395190232, 559494740587480879172162808385362976196641], [1, 0, -2575662837076171672534, 0, 1658509762573818415340429240403156732495289], [1, 0, 5550346147533980680978, 0, 7701585589361325209940623087797432152759121], [1, 0, -11500359010395173030281, 0, 51165609725977649453468030598885114890323009], [1, 0, 22313366933306331102202, 0, 124471585975092095765485234829277073042312201], [1, 0, -22345726748523109190494, 0, 191610340886078111289333368801345298804416209], [1, 0, -42097039045996697901286, 0, 443040174110042643239751500532541979250113449], [1, 5159011138, 51615181955088657715179, 133124485657599010548126832196842, 665860043319738865087230422941091304891802681], [1, 0, -76717223012242243155874, 0, 1471383076677527699142172838322885948765175969]], 'euler_factors_factorization': [[[[1, 0, -2048], 2]], [1], [1], [[[1, 0, 1956649739, 0, 3909821048582988049], 1]], [[[1, 0, 285311670611], 2]], [[[1, 0, 1471948630151, 0, 3211838877954855105157369], 1]], [[[1, 0, -34271896307633], 2]], [[[1, 20581901, 116490258898219], 2]], [[[1, 0, -952809757913927], 2]], [[[1, 0, 12200509765705829], 2]], [[[1, -296476943, 25408476896404831], 2]], [[[1, 0, 257128060064352074, 0, 31654680139659126296833481434130569], 1]], [[[1, 0, 550329031716248441], 2]], [[[1, 0, 1268503014678232811, 0, 863586854220408743801513785592407849], 1]], [[[1, 0, -2472159215084012303], 2]], [[[1, 0, -9269035929372191597], 2]], [[[1, 0, 30155888444737842659], 2]], [[[1, 12977292913, 43513917611435838661], 2]], [[[1, 0, -208842393923166725941, 0, 14915769363385151583217201855136979828889], 1]], [[[1, 0, 231122292121701565271], 2]], [[[1, 0, -235194739555780163854, 0, 98424433237708439716398638596388483974129], 1]], [[[1, 32885832404, 747993810527520928879], 2]], [[[1, 0, -1287831418538085836267], 2]], [[[1, 0, 2775173073766990340489], 2]], [[[1, 0, -11500359010395173030281, 0, 51165609725977649453468030598885114890323009], 1]], [[[1, 0, 11156683466653165551101], 2]], [[[1, 0, -22345726748523109190494, 0, 191610340886078111289333368801345298804416209], 1]], [[[1, 0, -21048519522998348950643], 2]], [[[1, 2579505569, 25804264053054077850709], 2]], [[[1, 0, -38358611506121121577937], 2]]], 'gamma_factors': [[], [0, 0]], 'group': 'GL2', 'index': 1, 'label': '4-15e4-1.1-c11e2-0-1', 'leading_term': '1.93608494725874626288299532798337622642174638974331422179328359941896518719335108719089520', 'load_key': 'CMFs-workshop', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [11, 11], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/225/12/b/e', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.03125', 'prec': 24}, 'plot_values': [1.936084947258746, 1.893465315488106, 1.7742369924990908, 1.575668701687105, 1.3023965231304524, 0.9616149470384893, 0.5604303214578836, 0.10695479189462352, -0.3892441204945146, -0.9176583078037637, -1.467299248895044, -2.0267811731702765, -2.584633756533928, -3.1294572103915166, -3.6503323547425857, -4.136885288876687, -4.579701484777181, -4.970317699097902, -5.301629916772566, -5.567792833458704, -5.764591777856429, -5.8892499944488765, -5.9407436173133545, -5.919522848541087, -5.8277536500364295, -5.668967721266976, -5.448222184953608, -5.171699800697518, -4.846785909610014, -4.481645023460202, -4.085222308255037, -3.6668248457454644, -3.2360620785829393, -2.802459502056786, -2.3753580766424185, -1.9635849073073375, -1.575335094674868, -1.2179184092601059, -0.8976480607301492, -0.6196750151339101, -0.3879066213339025, -0.2049317728777037, -0.07198841088617944, 0.01102596745421339, 0.04552479417459709, 0.03415016211812651, -0.019324610492720686, -0.11012875264807138, -0.2326575028985511, -0.3806325523662832, -0.547322095002312, -0.725701084574489, -0.9087119610634427, -1.0893986053279447, -1.2611871397593304, -1.41797089285514, -1.5543882931624229, -1.6658419198894006, -1.7487507276443108, -1.8004937588421157, -1.819616761481079, -1.8056995863689096, -1.759502414462409, -1.6827643594628443, -1.5782814656482382, -1.449651670060263, -1.3012847157398215, -1.1381145634496985, -0.9655495031860537, -0.7891766799704236, -0.614668051121937, -0.4475024871086846, -0.2928489454594429, -0.15532950625780467, -0.03890450578318404, 0.05330493491817069, 0.11910451974809991, 0.1573331956687269, 0.16790063645311312, 0.15181948219014643, 0.1111750654624185, 0.049089277687981415, -0.030387545863920194, -0.1223669229475117, -0.22130919120621886, -0.32114687077946663, -0.41554189026546395, -0.49801639331083575, -0.5622625957555833, -0.602253853953251, -0.6125821414990438, -0.5885238771854546, -0.5263752199068017, -0.42345198395867, -0.2783914417864903, -0.09107317057398515, 0.13714183525262882, 0.40357313678636214, 0.7040679556402037, 1.0332394750747824, 1.384414938526902, 1.7499339074546778, 2.1212011570067393, 2.489020207031027, 2.843742784866846, 3.1756072799468824, 3.474964790118999, 3.7325899435561842, 3.939953447373799, 4.089474413994893, 4.174802141117725, 4.190984670918629, 4.134719224367438, 4.004420743117018, 3.8004015501099793, 3.524835174723824, 3.1818314951323123, 2.7773039777347566, 2.3189163284875463, 1.815873920618196, 1.2787308960026789, 0.7191374894746847, 0.1495112180264639, -0.4172203604364516, -0.968065884977537, -1.4901888331647575, -1.9714394282782952, -2.4004927419953406, -2.767424433164304, -3.0637325561607867, -3.282909719206197, -3.4203234998175778, -3.473737379172106, -3.4430387516650107, -3.330666341796218, -3.141190801820927, -2.8816168331761682, -2.560837483397917, -2.189793825152771, -1.7808383803464025, -1.3477523705685897, -0.9050644297145245, -0.4679431769739141, -0.05152309758077461, 0.3292935957463318, 0.6604522198836044, 0.9289878089515186, 1.1235361156802792, 1.2345656515388905, 1.2547509298288724, 1.1791388669471297, 1.005367016651399, 0.7337141409509718, 0.367164983126286, -0.08869372688520184, -0.6257412706947006, -1.2336038300904073, -1.8998174121153606, -2.6102884552618066, -3.349500848895998, -4.101138765685446, -4.848279865787231, -5.5741441914166465, -6.262215555336284, -6.897065614234271, -7.464352579046753, -7.951660690981785, -8.348339104711817, -8.646295106451262, -8.839654808708811, -8.925453892871266, -8.903123425586166, -8.775034069291946, -8.545832260278226, -8.222811225234251, -7.815142210776408, -7.334066084449904, -6.792078771137469, -6.2029580819754075, -5.580970057271917, -4.940764239773233, -4.2966671458626795, -3.6624930298606055, -3.0509821111953475, -2.473581117001886, -1.9400681377568194, -1.4583569097197995, -1.034329164057019, -0.6717087682311463, -0.3720988098503016, -0.13495745198139736, 0.04218621656445133, 0.16364142806512852, 0.2352068547719953, 0.26397217628344033, 0.2578956132190648, 0.22552419174568736, 0.1755629552526542, 0.11655535801896445, 0.05650655953272531, 0.0025740044263989808, -0.03920392896969614, -0.06415635292250607, -0.06911244393472704, -0.05254550094069703, -0.014555354824337856, 0.04312056875919643, 0.11726332069714114, 0.20330295690147698, 0.29558065711520215, 0.3876069880382174, 0.4723822738969591, 0.5427472078963655, 0.5917060345408096, 0.6128168473780023, 0.6004634476433556, 0.5502224651757397, 0.4590399289509036, 0.3255110872859088, 0.14993534004706188, -0.06554709679515978, -0.3170257835728969, -0.5988654351604655, -0.9038820230819621, -1.22358560453813, -1.5484203242506476, -1.8681933841800253, -2.1723215633930684, -2.450408969772461, -2.692435492687821, -2.889424576430574, -3.0335119063649882, -3.118631131476405, -3.140414072931088, -3.0968194550207544, -2.9878374542307027, -2.815994929801471, -2.585864238116211, -2.304397340681607, -1.9802675236619502, -1.624011605609207, -1.2472591198519998, -0.8626928058837006, -0.48323875533624805, -0.12188579467071609, 0.20908122611786692, 0.49833745200384827, 0.7361628461593427, 0.9146923057201026, 1.0283754464462103, 1.0741363112350701, 1.0516108777362778, 0.9631421407957089, 0.8137907942782743, 0.6111142689903835, 0.36498074405630815, 0.08711305177677063, -0.20923240818283756, -0.5099387589809627, -0.8004001574940283, -1.0663572568958088, -1.2942236533885134, -1.4719991678531872, -1.5894594222328227, -1.6390440943374875, -1.6158360428529646, -1.5183185583299816, -1.3481009779184505, -1.110452319508149, -0.8137688595778929, -0.46982022294944986, -0.0929951913437054, 0.29976329090471493, 0.6898611236685581, 1.057406195542709, 1.3821606858870117, 1.6441136982182003, 1.824371576247456, 1.9058434193215879, 1.873963728248032, 1.7173601854556935, 1.4283258181410277, 1.0033326229874373, 0.4432077528003156, -0.24662938089805728, -1.0562858743013714, -1.9715245446524616, -2.97412785427805, -4.042436369142154, -5.151864629736029, -6.275837191908712, -7.386332274162405, -8.455149353134335, -9.454343349216996, -10.357711759625861, -11.140989810065772, -11.783414563681259, -12.267579555757715, -12.580923067905276, -12.71518574037969, -12.66768205774222, -12.440359979484768, -12.040747055756121, -11.48066903140907, -10.776810083479463, -9.949198795894835, -9.021378445892646, -8.018805622148491, -6.968682550231798, -5.898429901368057, -4.835280087002943, -3.804978527343405, -2.8312673120013625, -1.9349390537511, -1.1333495729550442, -0.43989975856611463, 0.136297316859699, 0.5904910544976533, 0.9223797588040085, 1.135788323133529, 1.238463976793792, 1.2414578867015869, 1.1586400760790934, 1.0059240844578308, 0.800562069332995, 0.5603678192557975, 0.30289254965311074, 0.04479319253965741, -0.19898952265327116, -0.41560189223342436, -0.5949762300477529, -0.7298740800845507, -0.8163644065984548, -0.8535306406498063, -0.8436707465166726, -0.791717148690747, -0.7051524848172631, -0.5932387562180546, -0.4666951441673234, -0.3368617552043974, -0.21523038549126747, -0.11267419548463369, -0.03895060453767589, -0.002110359119236005, -0.00809849998922619, -0.060418013371373924, -0.15993854391916457, -0.30483820022177116, -0.49069307223838954, -0.710665274857789, -0.9558958215677147, -1.2158578478393127, -1.4790201142557897, -1.7332506784314654, -1.9666684233788465, -2.1679706021188094, -2.327354685557516, -2.4366555808900565, -2.4902065924991112, -2.484706635365386, -2.419900147903087, -2.2981450389109486, -2.124825400546184, -1.9076479062711036, -1.6567522097002982, -1.383816301487751, -1.1018882478615655, -0.8244194320977233, -0.564896776213241, -0.3359391458301138, -0.148850713925684, -0.012906411181964953, 0.06503371874443924, 0.08095816123435366, 0.033896215784173414, -0.073968351109231, -0.23739721132694572, -0.4482809776490542, -0.6960761693884957, -0.9682036612383653, -1.250802946504324, -1.5292180496905765, -1.788986179676531, -2.0162616884949527, -2.198906877930775, -2.326711054156196, -2.392425880388722, -2.3916712185056004, -2.323761929886218, -2.191249342161478, -2.0004211840314614, -1.7604969438260292, -1.4837422417906785, -1.1844050685684626, -0.8784598740166477, -0.5824263249478767, -0.3128330064570447, -0.08508973734287104, 0.08717842582198894, 0.19303689199657753, 0.2248520348989011, 0.1788419812563194, 0.05544619692314392, -0.14054865585239415, -0.40002962232793876, -0.7098471658865602, -1.0533092885745674, -1.410796211689928, -1.7607238056126249, -2.0803251370202056, -2.34698842332033, -2.539007174797322, -2.637119856550042, -2.6250264527241214, -2.4909072898987072, -2.2275385561717203, -1.8335571416239405, -1.3130759805737982, -0.6764942471414073, 0.06039628898736071, 0.8761847697919117, 1.7451567344120336, 2.637681103327638, 3.521776895919172, 4.364033568561213, 5.131203878439451, 5.791476641114043, 6.315856814400337, 6.679536752367562, 6.862855763432548, 6.852485010700464, 6.641831001344628, 6.231767356067918, 5.630447975638694, 4.85338410266077, 3.9227453890697643, 2.8666824270912312, 1.7182969396871173, 0.5142307440536864, -0.7064398087600832, -1.9042090082615764, -3.040037966817629, -4.07771962899684, -4.984301393460345, -5.732521581886293, -6.300563940350989, -6.67427377310807, -6.8461566395005, -6.817130134974346, -6.594804584436397, -6.194616453596266, -5.637550418736956, -4.95061573769596, -4.164264539080347, -3.312291542394054, -2.4292550586486716, -1.5499809450851392, -0.7072908857489375, 0.06864525073453127, 0.7520246294532692, 1.3219518575380125, 1.7634471044270967, 2.0676563430128336, 2.232125366111226, 2.2605354702770204, 2.1623418886598613, 1.951995504836226, 1.6481483276270898, 1.272431938747764, 0.8484961484624279, 0.4005080024662544, -0.04769858088834105, -0.474181826603812, -0.8593950192374598, -1.187571258859433, -1.4467276149197845, -1.629680793670189, -1.7335124958620676, -1.7600986025539587, -1.715110478810711, -1.6080411407310875, -1.4509124703926721, -1.2578847356047074, -1.0438965450915563, -0.8240273137647707, -0.612304529608041, -0.4210347262502107, -0.2599707097617221, -0.13582564122745164, -0.051911035243150265, -0.008000972957511137, -0.0004479344292810515, -0.022480248476351567, -0.06469962655221483, -0.11579289286298906, -0.16323465363282785, -0.19429625983609253, -0.1967366753401135, -0.1599197996192595, -0.07528424031388513, 0.06265351416212087, 0.256201543312765, 0.5037909287634896, 0.8003324350191564, 1.1370210517327786, 1.5020160353291947, 1.8804733427193627, 2.255875724859133, 2.6116624424585058, 2.930804176445527, 3.1925845445140126, 3.3803245009244245], 'positive_zeros': ['0.22569382429528437715592280616679', '1.33825438559568423726978602346728', '1.42856583045464094732493809849773', '2.32466118015015095259094436643414', '2.55122520629527507726328797310873', '2.98188726228109568830361848489631', '3.82069937032546990998985706582063', '4.47278923207750222464459056638875', '4.80685039269435234923315953904523', '5.96030100461467644500069452885344', '6.25166101264083373855331701154602', '6.41516331335451672701692991376704', '6.86605712087388735893871501232767', '7.63612197043350794404737402344535', '8.009323697681412739780083860084875', '8.476212218539954738376133982188224', '8.864460747184879980214115418808920', '9.866982948581862354656193353790406', '10.22430495257744996009965708670753', '10.72398660732094554317284377299426'], 'prelabel': '4-15e4-1.1-c11e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 13.148278047938732, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c11e2-0', 'trace_hash': 1395501321777928047, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.22569382429528437715592280617', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.33825438559568423726978602347', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.42856583045464094732493809850', 'prec': 103}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 29886.53168256653, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 50625, 'conductor_radical': 15, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, 4096, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12582912, 0, 0, -41163802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 592953886, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1956649739, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -25954585826, 0, 0, 34359738368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168606932992, 0, 0, -65771664808, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 570623341222, 0, 81402749386839761113321], 'euler13': [1, 0, 1471948630151, 0, 3211838877954855105157369], 'euler17': [1, 0, -68543792615266, 0, 1174562876521148458974062689], 'euler19': [1, 41163802, 656595166570239, 4795181952215025068638, 13569980418174090907801371961], 'euler2': [1, 0, -4096, 0, 4194304], 'euler23': [1, 0, -1905619515827854, 0, 907846434775996175406740561329], 'euler29': [1, 0, 24401019531411658, 0, 148852438543083302439338564577241], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, -592953886, 138715531523434911, -15066055113064463970623266, 645590698195138073036733040138561], 'euler37': [1, 0, 257128060064352074, 0, 31654680139659126296833481434130569], 'euler41': [1, 0, 1100658063432496882, 0, 302862043149743582494593171234930481], 'euler43': [1, 0, 1268503014678232811, 0, 863586854220408743801513785592407849], 'euler47': [1, 0, -4944318430168024606, 0, 6111571184724799803076702357055363809], 'euler5': [1, 0, 0, 0, 0], 'euler53': [1, 0, -18538071858744383194, 0, 85915027059992607611268303810877410409], 'euler59': [1, 0, 60311776889475685318, 0, 909377607891473342964601076981440190281], 'euler61': [1, 25954585826, 255437966572671702891, 1129385709271504393619213418986, 1893461025894826042494075073080422272921], 'euler67': [1, 0, -208842393923166725941, 0, 14915769363385151583217201855136979828889], 'euler7': [1, 0, 1956649739, 0, 3909821048582988049], 'euler71': [1, 0, 462244584243403130542, 0, 53417513915589153425653513253411473303441], 'euler73': [1, 0, -235194739555780163854, 0, 98424433237708439716398638596388483974129], 'euler79': [1, 65771664808, 2577465593959018276974, 49196798184474768193434395190232, 559494740587480879172162808385362976196641], 'euler83': [1, 0, -2575662837076171672534, 0, 1658509762573818415340429240403156732495289], 'euler89': [1, 0, 5550346147533980680978, 0, 7701585589361325209940623087797432152759121], 'euler97': [1, 0, -11500359010395173030281, 0, 51165609725977649453468030598885114890323009], 'euler_factors': [[1, 0, -4096, 0, 4194304], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 1956649739, 0, 3909821048582988049], [1, 0, 570623341222, 0, 81402749386839761113321], [1, 0, 1471948630151, 0, 3211838877954855105157369], [1, 0, -68543792615266, 0, 1174562876521148458974062689], [1, 41163802, 656595166570239, 4795181952215025068638, 13569980418174090907801371961], [1, 0, -1905619515827854, 0, 907846434775996175406740561329], [1, 0, 24401019531411658, 0, 148852438543083302439338564577241], [1, -592953886, 138715531523434911, -15066055113064463970623266, 645590698195138073036733040138561], [1, 0, 257128060064352074, 0, 31654680139659126296833481434130569], [1, 0, 1100658063432496882, 0, 302862043149743582494593171234930481], [1, 0, 1268503014678232811, 0, 863586854220408743801513785592407849], [1, 0, -4944318430168024606, 0, 6111571184724799803076702357055363809], [1, 0, -18538071858744383194, 0, 85915027059992607611268303810877410409], [1, 0, 60311776889475685318, 0, 909377607891473342964601076981440190281], [1, 25954585826, 255437966572671702891, 1129385709271504393619213418986, 1893461025894826042494075073080422272921], [1, 0, -208842393923166725941, 0, 14915769363385151583217201855136979828889], [1, 0, 462244584243403130542, 0, 53417513915589153425653513253411473303441], [1, 0, -235194739555780163854, 0, 98424433237708439716398638596388483974129], [1, 65771664808, 2577465593959018276974, 49196798184474768193434395190232, 559494740587480879172162808385362976196641], [1, 0, -2575662837076171672534, 0, 1658509762573818415340429240403156732495289], [1, 0, 5550346147533980680978, 0, 7701585589361325209940623087797432152759121], [1, 0, -11500359010395173030281, 0, 51165609725977649453468030598885114890323009]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/12/b/e'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '4-15e4-1.1-c11e2-0-1', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [11, 11], 'order_of_vanishing': 0, 'prelabel': '4-15e4-1.1-c11e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 13.148278047938732, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c11e2-0', 'trace_hash': 1395501321777928047, 'z1': {'__RealLiteral__': 0, 'data': '0.22569382429528437715592280617', 'prec': 103}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': '286100911835721784312746685275,1696438975158429478260427899111', 'Lhash_array': ['286100911835721784312746685275', '1696438975158429478260427899111'], 'label': '4-15e4-1.1-c11e2-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/12/b/e'}