data: - - Lhash: dirichlet_L_287.104 a10: - -0.30901699437494745 - 0.9510565162951535 a2: - 0.5877852522924731 - -0.8090169943749475 a3: - -0.7071067811865476 - 0.7071067811865476 a4: - -0.30901699437494745 - -0.9510565162951535 a5: - -0.9510565162951535 - 0.30901699437494745 a6: - 0.15643446504023087 - 0.9876883405951378 a7: - 1.0 - -2.8163065144692913e-30 a8: - -0.9510565162951535 - -0.30901699437494745 a9: - 2.9010907910729803e-30 - -1.0 algebraic: true analytic_conductor: 1.3328223966973418 analytic_normalization: 0 bad_lfactors: - - 7 - - 1 - - 41 - - 1 bad_primes: - 7 - 41 central_character: '287.104' coeff_info: - x^40 - 1 - 0.987688340595138 + 0.156434465040231*I - \\zeta_{40} conductor: 287 conductor_radical: 287 conjugate: dirichlet_L_287.69 degree: 1 dirichlet_coefficients: - a^0 - a^34 - a^15 - a^28 - a^18 - a^9 - 0 - a^22 - a^30 - a^12 - a^7 - a^3 - a^39 - 0 - a^33 - a^16 - a^17 - a^24 - a^1 - a^6 - 0 - a^1 - a^4 - a^37 - a^36 - a^33 - a^5 - 0 - a^3 - a^27 - a^32 - a^10 - a^22 - a^11 - 0 - a^18 - a^8 - a^35 - a^14 - a^0 - 0 - 0 - a^34 - a^35 - a^8 - a^38 - a^9 - a^31 - 0 - a^30 - a^32 - a^27 - a^23 - a^39 - a^25 - 0 - a^16 - a^37 - a^4 - a^21 - a^6 - a^26 - 0 - a^4 - a^17 - a^16 - a^13 - a^5 - a^19 - 0 - a^27 - a^12 - a^30 - a^2 - a^11 - a^29 - 0 - a^8 - a^15 - a^34 - a^20 - 0 - a^20 - 0 - a^35 - a^28 - a^18 - a^29 - a^31 - a^2 - 0 - a^32 - a^7 - a^3 - a^19 - a^25 - a^13 - 0 - a^37 - a^24 euler_factors: - - 1 - a^34 - - 1 - a^15 - - 1 - a^18 - - 0 - - 1 - a^7 - - 1 - a^39 - - 1 - a^17 - - 1 - a^1 - - 1 - a^4 - - 1 - a^3 - - 1 - a^32 - - 1 - a^8 - - 0 - - 1 - a^34 - - 1 - a^9 - - 1 - a^23 - - 1 - a^4 - - 1 - a^6 - - 1 - a^13 - - 1 - a^27 - - 1 - a^30 - - 1 - a^15 - - 1 - a^20 - - 1 - a^31 - - 1 - a^13 - - 1 - a^1 gamma_factors: - - 0 - [] id: 15140 index: 0 label: 1-287-287.104-r0-0-0 leading_term: 1.06698770228014525295264822911-0.0392005850513656376591661548990*I load_key: dirichlet motivic_weight: 0 mu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 mu_real: - 0 nu_imag: [] nu_real_doubled: [] order_of_vanishing: 0 origin: Character/Dirichlet/287/104 plot_delta: __RealLiteral__: 0 data: '0.3125' prec: 20 plot_values: - 1.0677075642166418 - 1.2188299966336915 - 1.21531026043873 - 0.695046624295749 - -0.3766753172278228 - -1.6752297136251508 - -2.6674416911492353 - -2.882755244528899 - -2.1916487085771337 - -0.9256322102606567 - 0.27142177323836103 - 0.8138837336221398 - 0.5526684706140751 - -0.10444042461743701 - -0.46003550391818243 - -0.04540043287622171 - 0.9661875991614235 - 1.795698657580025 - 1.6018409988883175 - 0.19564062892808776 - -1.6168028946137156 - -2.4188766975839755 - -1.140139277885488 - 2.0538905955873803 - 5.638467008187812 - 7.587254142140826 - 6.697330123647248 - 3.44738905885676 - -0.28012323786240256 - -2.4659682062610635 - -2.298976531875437 - -0.5986503872659399 - 0.9791972115362351 - 1.2850773918639244 - 0.46826896609691204 - -0.3929589513519179 - -0.42435468192919246 - 0.20958807572644167 - 0.5414641509465316 - -0.12820442799558748 - -1.376760552849059 - -1.913907464089167 - -0.7950780295849285 - 1.531028774841451 - 3.413366153211795 - 3.3828571463816397 - 1.5049002777042535 - -0.6112778889820456 - -1.2639265081624367 - -0.273334698290426 - 0.8004454070413779 - 0.14944401449491573 - -2.422809817555992 - -5.080865150330114 - -5.507130648444519 - -3.0651525911618194 - 0.4672252557468253 - 2.3751023976989316 - 1.3898149020179975 - -1.2325661572092124 - -2.9460996540273623 - -2.274925510082268 - -0.05007771535952116 - 1.5952651697953182 - 1.3827848315876503 - 0.025404490322105355 - -0.7137122358122197 - 0.05407604923545335 - 1.4856734605994857 - 2.0549175592362676 - 1.274692626995179 - 0.16379587946111435 - -0.03175495852093047 - 0.6453368210420894 - 0.9355320345150796 - 0.04668664684547513 - -0.9897243606634029 - -0.08349550376006563 - 3.529605765367477 - 7.800570036549441 - 9.18692323896884 - 5.84675347614602 - -0.3790593183054334 - -5.327762007357875 - -6.075178426009735 - -3.2985675003037227 - -0.22092101852648624 - 0.6410589168826692 - -0.41908424466560196 - -1.2878063419528734 - -0.7135657092972261 - 0.38313236492514396 - 0.2832134965419312 - -1.2651122727329835 - -2.6173473882520932 - -2.138319875792212 - -0.1659330594448347 - 1.3248715417489665 - 1.0032620135051393 - -0.2742566399145423 - -0.5138980504131271 - 0.9828301748947892 - 2.7095933880569834 - 2.719753744807881 - 1.0048641847359367 - -0.41380128637751334 - 0.07825801434409885 - 1.5874171969252615 - 1.597451413994196 - -0.9856246068123753 - -4.188285056975176 - -4.897914666615562 - -2.415217913065498 - 0.4303730017957893 - 0.12048577144230677 - -3.715095222135165 - -7.708185090317704 - -8.146399928913691 - -4.691511464210637 - -0.4611133192382237 - 1.3845030992958207 - 0.6360684117876758 - -0.5006175928743981 - -0.3592388141348603 - 0.5016232861148431 - 0.6203129956654918 - -0.13280728569025665 - -0.4316561803455324 - 0.4687589013318928 - 1.432161305073531 - 0.8372547603448269 - -1.0280583770364753 - -1.8707039936611718 - -0.12861038077206682 - 2.727691823356302 - 3.4793339218311714 - 0.9039764850641511 - -2.4464655311460928 - -2.872460287142438 - 0.22638055310908353 - 3.452092520992591 - 3.0923659711009823 - -0.7579915115072781 - -4.3668072885186975 - -4.5488587892208745 - -1.951398072140171 - 0.21474223421940314 - 0.13423692745401467 - -0.8525763901200065 - -0.5524647571428525 - 0.9705275260995053 - 1.529915878437434 - -0.10748248665500382 - -2.3360271331089284 - -2.55701039742034 - -0.4166309464074137 - 1.7303467387975193 - 1.7182864386836527 - 0.09914452495669783 - -0.8690175790902359 - -0.2743094523386008 - 0.4693932582880816 - -0.07463929658953902 - -1.1133468766348598 - -0.7637201079583043 - 0.7961852931809074 - 0.7020708461369656 - -3.1387216412161543 - -8.55320067208823 - -10.42490420342643 - -6.054587093185101 - 1.506582975383326 - 6.298651480011647 - 5.449932650947601 - 1.582567475219063 - -0.7976144858031962 - -0.30453087891104197 - 0.7239986125387508 - 0.008222032434514501 - -1.7447539176228755 - -2.2560883384715797 - -0.9878363652533229 - 0.2836257655939748 - 0.15273266249843043 - -0.47066139799298845 - 0.08618012991221637 - 1.546895637799187 - 1.8816005518175287 - 0.3337370893471183 - -1.0506106294772215 - 0.06047854420287947 - 2.846487757555908 - 3.841025723128565 - 1.2363259759129628 - -2.4746960670968727 - -3.243892309547511 - -0.39473732447480636 - 2.546554445870626 - 2.284232275342699 - -0.1986634431979275 - -1.1753534709424713 - 0.7769476636957302 - 2.8723549251259928 - 1.845755150456468 - -1.6300450958648782 - -3.6723030320411 - -2.0945930568267856 - 0.9206456762317785 - 1.7409388342620655 - -0.19080981788880028 - -2.0639396329716804 - -1.633005137858049 - 0.09742470441318718 - 0.768482837197835 - 0.05365605187138552 - -0.28591773084601285 - 0.5782356252337157 - 1.140862641123848 - -0.06273498977693298 - -1.8980330416455724 - -1.9619090241020898 - -0.1540405325361181 - 0.8533922882137897 - -0.5023070729026002 - -1.7111961217726237 - 1.0870763319919339 - 7.555613737926169 - 12.200225236476475 - 10.098775791666364 - 2.6828948724263655 - -3.6328411960842057 - -4.4234035407214085 - -1.4182546925654738 - 0.694969522162568 - 0.08746021436829138 - -1.0936963806243336 - -0.7184221945963919 - 0.38440995907591946 - 0.3046520300230148 - -0.7106817849747813 - -0.728283241727797 - 0.5271123968847201 - 0.7655618556483217 - -1.6124888263712989 - -4.736774065852314 - -5.277630383557168 - -2.7474636153309158 - -0.09381736299190915 - 0.32418642651122087 - -0.2839890117920224 - 0.5978006317585558 - 2.6782892668829033 - 3.085246591384489 - 0.8461642211636663 - -0.9593231911785326 - 0.9483805334914037 - 5.159007650558737 - 6.705513049050138 - 3.3051259906095187 - -1.4755552338359483 - -2.5563867930060047 - 0.3894097403532295 - 2.913999144891325 - 1.8004294828165754 - -1.0384366154644027 - -1.6590601217782437 - 0.5130453296966814 - 2.3375192496774857 - 1.5721963273402815 - -0.33301548552712995 - -0.8194853583780276 - 0.10946745020716236 - 0.4561445530315677 - -0.36525303514258434 - -0.7861738264482525 - 0.010524964493271944 - 0.4857643100870422 - -0.5991634878664419 - -1.3400854763785786 - 1.212878284630565 - 6.2157849914992935 - 8.684353950829934 - 5.339705132439365 - -0.7007015228750635 - -3.1416981412377845 - -0.031288140269882046 - 4.101001234659477 - 4.21483554886752 - 0.8513387604565263 - -1.4490860540812425 - -0.578375255718638 - 0.8727659653144889 - 0.04723335218685459 - -1.961869610984793 - -2.078526784856187 - -0.028377066943778777 - 1.2972512496511501 - 0.2356859888048719 - -1.2420422150986834 - -0.669073964442854 - 1.1063580152452213 - 1.2428336209868875 - -0.6833618595371488 - -1.9291788185082153 - -0.6855818065141486 - 1.1867495241875619 - 0.9738579443567597 - -0.7973699572042461 - -1.2728365932253445 - 0.19739297711586098 - 1.0343135053049655 - -0.21561391592091264 - -0.8693660849330965 - 2.234127900905194 - 7.164969705849323 - 8.036382310261226 - 2.463206271604574 - -4.533339746449597 - -6.023320920949894 - -1.302355655608427 - 3.7826504073265257 - 4.297344500935494 - 1.4343838587429079 - -0.5759788866041832 - -0.3650573635229011 - 0.05588737518764192 - -0.4851323788468637 - -0.5566907732510672 - 0.8713347664758527 - 2.145541383279695 - 1.3663194282530315 - -0.41524654271153305 - -0.6848304697524854 - 0.4395836853941089 - 0.14515283319106617 - -2.5280702828773642 - -4.535069168857029 - -2.981178488767437 - 0.2603670552001379 - 0.7690582755802325 - -1.9815639938631504 - -3.3917816627930817 - -0.09271300896770623 - 4.905157856060816 - 5.832340483050744 - 1.7378907276110402 - -2.4765637756564467 - -2.747087832776137 - -0.6532434957866415 - -0.00221693268343982 - -0.9516472156569917 - -0.44725855942264403 - 2.255231571776272 - 3.834295112929856 - 1.717191415732849 - -1.8866061588320684 - -2.8904210316309107 - -0.85392718295078 - 0.934827855300509 - 0.49101369006821916 - -0.48005406260035366 - 0.044390301260531784 - 1.1403863557357885 - 0.9104265779190042 - -0.005483254681564317 - 0.43101345259717766 - 1.6346964967393853 - 0.656527556776016 - -2.6953055302051276 - -3.9443092881106976 - 0.38889051049118173 - 6.908362346890155 - 8.441229850636727 - 3.0203573573227795 - -3.3593861844538804 - -4.283199227679019 - -0.6421758646843395 - 1.613015561193936 - -0.1955180896708241 - -2.7816289726929875 - -2.5653713320475497 - -0.5949476512389852 - -0.009788747697958409 - -1.017988742114504 - -1.2521596239737507 - -0.11132863574029699 - 0.38956247488359047 - -0.5912672041581057 - -1.0143087146258403 - 0.48706326286974577 - 1.678535756328857 - -0.18514560988301298 - -3.6469461761022566 - -4.44535768338796 - -1.5761531055572555 - 1.0880956285447974 - 0.37931073337742316 - -1.6988198917445754 - -1.43769927386223 - 0.5732257616487729 - 0.39158172329268875 - -2.6670407418094926 - -4.194021051995135 - -1.0749541644941853 - 3.3075464791809615 - 3.29653928080123 - -1.1235331658880319 - -4.22548822631023 - -2.421822812095245 - 1.2438120723848884 - 2.016703056346106 - -0.015265703669614404 - -1.0847029235458532 - 0.1510346224454149 - 1.167267690197953 - 0.22412564717887434 - -0.9014666047041486 - -0.22233391198697489 - 1.0559219642815563 - 0.7350879621608559 - -0.5052134822051735 - -0.30129187640261634 - 1.10356518398172 - 1.010891431290709 - -0.9326489370669635 - -1.5106736021224278 - 0.6111672751287626 - 1.1288769410678483 - -4.669104350231272 - -14.091730594179943 - -18.55505714744776 - -13.737201035668438 - -4.860509667315272 - 0.09541866266813889 - -0.27566634125970946 - -1.2476510515835026 - 0.09712100461851396 - 1.5751290876999964 - 0.8034951857519901 - -0.6895192396609678 - -0.48877459911213655 - 0.36653038927417064 - -0.7234679098436919 - -3.045861517336286 - -3.1420525175524237 - -0.2731853932106664 - 2.0475125633853746 - 1.1763857891087905 - -0.8769054517550865 - -0.8886425264871188 - 0.6121977098456024 - 0.8059192129430425 - -0.2838167241857449 - 0.17884139424387158 - 2.528208239581543 - 3.1415534207892706 - 0.06569827864532697 - -3.102982495034004 - -2.105743602437265 - 1.2175565385539981 - 1.1482573769807827 - -3.2547801721670013 - -6.081704263287164 - -2.7736967074160193 - 3.229760329799099 - 5.180573581128417 - 2.1079692714993103 - -0.7459931466057708 - 0.09173965046914076 - 2.1307388840892 - 1.7880690371886712 - -0.22919233317424179 - -0.9608729425685417 - -0.14040121274466777 - 0.16562857958631072 - -0.367767156581915 - -0.13540170256478296 - 0.6314696225577635 - -0.4884560163050897 - -3.6123952701608273 - -5.046857654011457 - -2.575425217726054 - 0.38694827572953266 - -0.7209375716052107 - -4.504441569644917 - -5.126338411366665 - -0.9325428855103752 - 2.773209948376368 - 1.3839505109268726 - -2.31380898644005 - -2.500041625898327 - 1.0110583306364385 - 2.9044676830468346 - 0.6185218499187676 - -2.1691219092842853 - -1.6459889703009642 - 0.5516869297135344 - 0.7155492963696319 - -0.8041287583602645 - -0.7175337205545496 - 1.2420917830925227 - 1.715644063402643 - -0.5869120726604378 - -2.507435451227354 - -1.4079399141361688 - 0.6813337581874235 - 0.4653714574309302 - -1.4108341246280962 - -1.823663493177397 - -0.44157856398330964 - 0.22439330578848396 - -0.27579318282106996 - 0.5166913952830579 - 2.88031241250261 - 3.124931809706835 - -0.30707872648030765 - -2.2742324514039347 - 3.041710989046576 - 12.878182164723103 - 17.627685625664324 - 12.591353060786759 - 3.667039582598985 - -0.7447976740062102 - 0.24492846041893798 - 1.4730561336166064 - 0.395361564650575 - -0.5421396653013679 - 0.42372740261943587 - 1.2789704200717742 - 0.28883229362273605 - -0.7273938403713002 - 0.27080459408368945 - 1.7269446590631807 - 1.1026616200971333 - -0.6072822276155524 - -0.5532659313369607 - 0.7911687239997753 - 0.16667437694873916 - -2.5864600972860763 - -3.41117247828493 - -0.4396281870741031 - 2.3403662766301228 - 0.8905722712392565 - -2.33578134432806 - -1.8991342694222308 - 2.0839631085656576 - 3.8630415484471397 - 0.8343064665322024 - -2.538214220198795 - -1.7220676772615553 - 1.1936764261846524 - 1.5405204848765441 - -0.12678661542897868 - 0.776611541340211 - 4.818705043087096 - 6.925186114329034 - 3.932134753104119 - -0.6680415465693881 - -2.0040213850834894 - -0.44934698720827854 - 0.33518610521261955 - -0.43308536308521906 - -0.4906532440849383 - 0.5855682821714625 - 0.627256100680804 - -0.7536533967113191 - -1.099043506827793 - 0.35822027840928505 - 0.8983477325139613 - -0.7293540693345304 - -1.1076373139248916 - 2.5156269065156227 - 6.362050830187867 - 4.4885229716855015 - -1.8962236176536191 - -4.909002280902384 - -0.9150890236558732 - 4.081084622547098 - 2.9286172541990694 - -2.798078708329753 - -5.815329309490012 - -3.57716854404001 - -0.464782711865238 - -0.08428650018969944 - -0.7400590160089568 - 0.013087064804296203 - 0.9583036138094332 - 0.23847255797888023 - -0.6480747777048458 - 0.4443544690351059 - 1.8491794519379803 - 0.4502667319198852 - -2.6325750806600166 - -3.1005091182401148 - -0.2533235389606625 - 1.6672302351470059 - 0.09511083683384174 - -2.0608142700881014 - -1.5532051390685266 - 0.033448180228182745 - -0.18546982869670925 - -0.675871090549002 - 1.819081256686388 - 5.321844210197525 - 4.087682402683984 - -2.268490884880196 - -6.591287514580183 - -3.769117698445389 - 1.9619924160375017 - 3.2756539868814842 - 0.06021203586580382 - -1.6331852134294866 - 0.6543844256934019 - 2.8393786270003196 - 1.6240102702444166 - -0.592890566320117 - -0.4681928859095589 - 0.8682163089778395 - 0.5708340315706365 - -0.7311982225993681 - -0.46315939738172374 - 0.9996251756467898 - 1.1067335166315946 - -0.11018137194690703 - -0.3208148332531328 - 0.23518569139640536 - -1.1715488196487183 - -3.830878046254375 - -2.7097184609881 - 3.69503859112788 - 8.92432175923404 - 6.465684033662969 - -0.6736399978130803 - -3.657434042831799 - 0.06164885041600528 - 4.0979713035595635 - 3.180461255952849 - -0.020426004204332594 - -0.748979291985248 - 0.2099005506981129 - -0.7407775502693899 positive_zeros: - '1.15341411806723722854666015204' - '3.04242608741157265647848764809' - '4.011889850012613970906206130444' - '4.704781576451622171906515105165' - '5.970685286052009803318386953767' - '7.00323473057703912199356021197' - '8.72344017709679326925344999510' - '9.78811268952042606404967323040' - '10.770893660515991464133014784452' - '11.468180651620394237921976209383' - '12.15076049091207918685760162583' - '13.24098248431572548011232213498' - '14.58277370935771273690123098313' - '15.3744370693342946852827355914' - '15.96268034476399909890867179257' - '17.45496935709099631929224504865' - '18.29564887936619376569825657' - '19.38185863695365859344340233886' - '20.3185042977547905497498759068' - '20.92491865971343340107088865989' - '22.266704074642750443937523860' - '22.52341479452490035627569826106' - '23.44878166391824083551334030623' - '24.07332586145253333632145929960' - '25.606320857503182111399843426886' - '26.90886674796608791305977811265' - '27.40201509518862504844932649783' - '28.31149678163965847083017274048' - '28.82614702216094612764429692672' - '30.02506780411162537961711638565' - '30.86463672712496913637032109468' - '31.39212009099519449546624166408' - '32.68075735468812713799225214345' - '33.10668265373511873082026830044' - '33.9684624379432172884979426978' - '35.24638670087468419414741258447' - '35.64020054407904486218373056791' - '37.23300223108207155748400981061' - '37.95982484860752204767360894152' - '38.56634755801093636996312990472' - '39.32397578382707163535298208078' - '39.87522920975675772339149668975' - '40.77233137249784732776244442740' - '41.57670813289447129369546325808' - '42.576317801272383052086449271544' - '43.4194559836868431291439173185' - '44.32206688044050332202803109084' - '45.57256597971382238984983327448' - '45.97893447752894262113390547997' - '46.68514765349175878308337820305' - '47.4859121338287136433251579120' - '48.486984508276133010347726426003' - '49.394047049503871143403097390466' - '50.084901319917876163388945522271' - '50.60365986861686994520153454679' - '51.40506001740111024207328124718' - '51.962699491637478715558721574366' - '53.373616906512387192818140161435' - '54.53253760045668466512117367451' - '55.07155672287781626434995927928' - '55.62660389683481087464247829017' - '56.773900568182734259742993454117' - '57.25191771120593158788983473837' - '57.790742338103641991403308030256' - '58.80364687087278921477369228796' - '59.367087153413095512428119125771' - '60.40912364005505305867251808974' - '61.28375982949676722747440127104' - '62.161514741751342419851086287845' - '62.72002532800550478878131299888' - '63.61034382385067900740260074380' - '64.582400874127954997223070952591' - '65.288459861429494315910911804583' - '66.23028580990066649758666637678' - '66.89504550673792987242849801715' - '67.327357863634384571739678236187' - '68.11478507482036650113631020074' - '69.08802007302618132286534439289' - '69.607067294691306910375475847630' - '70.24031744757995025122267461997' - '71.67216585355838009645066588186' - '72.65931045879950349013166201779' - '73.14407778934187146394281891203' - '73.93720788750341703499020249658' - '74.47325289667493100433433072109' - '75.190542178014452120682267772982' - '75.76432764210355819801831997749' - '77.20617484846214730519657947259' - '77.64154963384236261122282920082' - '78.00139893323363143958451249746' - '79.163749123924927154143641233188' - '79.5982746267831260748642484984' - '80.82708060126572937015616456040' - '81.52892751324693660720515362173' - '82.3774811509034435550431157283' - '83.06432002056651586316193800951' - '83.99900404674683925130808728120' - '84.65308704494507497482261975550' - '85.195850277613184870227153063223' - '85.934246888443734429990288553246' - '86.43103936356963747467609687433' - '87.08969750386112676064170515489' - '88.39693529188620990963475755649' - '89.06457829299712459941296598028' - '90.0788677824700471892435356072' - '90.72270287715660633420462820278' - '91.2575646364663793110636548548' - '92.19147545905353029916238017761' - '92.85267433521448627564488819738' - '93.5527682035457888255486883755' - '94.277828356942896218125291903411' - '95.09900833773638618243791203295' - '95.798651423588047743737045875810' - '96.52649331294892979255723198222' - '97.14748659205077060233996631849' - '97.63780954865440673787391026289' - '98.84984100688849166104218352625' - '99.75460987632748849351753067823' - '100.80119313533750951890378340588' - '101.43432072548476721898080940613' - '101.6311763206167069399040667480' - '102.34010883366843363249370174506' - '103.35369738247947010386225361516' - '103.94074968346073708989833488059' - '104.40005773829670412874998720237' - '105.59403681556712734304205848934' - '106.04794137691603886585212437283' - '106.88060974069315462096260239130' - '107.91995880096239459933952426136' - '108.91375819990383862029644093973' - '109.06122100057037241982556299509' - '109.75242844980319143776162614087' - '110.766068668176943689983041204958' - '111.67457505657694023486036723691' - '112.3138037038601615709894196671' - '112.800742977784901677389983464749' - '113.746419231723764117918852252461' - '113.91470661428965990878945216000' - '114.75833682534880573396253563889' - '115.60631696785410947577365841926' - '116.692799970928947820743742623' - '117.55356739141227944774234847855' - '118.10464340093170261310274440950' - '119.227728302487229121528577671406' - '119.3689195719164044888270147300' - '120.342316075369707342181461348445' - '120.781693181983336603326609162414' - '121.484334037474425234030392762045' - '122.169773365211210437766673829672' - '123.27232976314208912857117030981' - '123.80344828597959859414395393157' - '124.59027794677522517329570844584' - '125.052906849073698797720540028051' - '126.00594078312004052178334329297' - '126.804080940086398879251673776552' - '127.69416421470441218133556556428' - '128.43529729632760976006058620201' - '129.03442988512665529378039453610' - '129.73329265583863446561611173714' - '130.35985468825843200423281165344' - '131.10915109714999289250190264651' - '131.63374372663931202453774375282' - '132.36002508342116968053287217566' - '133.048719125908324291445932561172' - '133.538944202515510820972261128440' - '135.29715389595219639232187213136' - '135.56798341141877638381383529214' - '136.23499575096058378374490854933' - '137.020957501191662428952612448783' - '137.64106071171353084135300092032' - '138.001358494206688078169926405111' - '139.08835390988744791721362194256' - '139.85041729347203343495378237051' - '140.49509495679771961744944055641' - '141.15949671243916728982296858216' - '141.52858718181822741117522092735' - '142.505045356332017666200602277141' - '143.31345078221224060093078337184' - '143.851376675318921609629109984913' - '144.82616057488648123043091986328' - '145.81385061481596307687402610504' - '146.23683931449962534568411206648' - '147.148732384111407083417534840762' - '147.866973281646442709427893709550' - '148.23393046872733240206446140570' - '148.798232087627940752304847297596' - '149.30617698675445931273811075556' - '150.5584341051635410862211621129' - '150.8581494515236516018629055941' - '151.93286151669438916424264004817' - '152.61081006958754569782651669044' - '153.355003887164041659443684812032' - '154.1181729528464374070465334361' - '154.90940206805365863021722440512' - '155.46078029729489654595463781467' - '156.06282109773219312284971517369' - '156.810481437705628336518524646560' - '157.68906918193347416054191997797' - '158.20783384619689656820323073108' - '159.17723938432554369192253942078' - '159.52514396682241079403872848031' - '159.89872407709040499340426224815' - '160.91366908461999928601142205500' - '161.43881214740105539873958635692' - '163.01824893459967953935225684412' - '163.39933800224458761206653208574' - '164.144030901057413886881489939150' - '164.5926045003488594748821747883' - '165.37246792504670748796090237035' - '165.88776236899865363351960315429' - '166.7495728235370421357286039679' - '167.31080302041110501442356023904' - '167.83579782354415329047045562670' - '168.7858192966363420153488340895' - '169.45460574557146143684708076285' - '170.158872447755376689023463668649' - '170.99830798024613874864695550648' - '171.7370124518250841487226764227' - '172.467284628441784066909297710343' - '172.707957870276136497233049880323' - '174.007133133915361120748406533541' - '174.7823132796167145047269528812' - '175.1630602931939534154361759299' - '175.77485900338775823322288616615' - '176.40367733706181410237459062890' - '177.119298837633038937933225037356' - '177.69420802100312696094836749827' - '178.25745695551005640434092764526' - '179.28367631432332892810577842471' - '180.04696234512439847555837429952' - '180.79083113159280519639209580406' - '181.98899351411076570818564836424' - '182.14674130246341408157064922514' - '182.80937007277366214154520786769' - '183.49432844286226455988780659390' - '183.98346726987798530558500934174' - '184.73398213208892700746614721274' - '185.64995759101429260784446968872' - '186.26116908414053980853407463948' - '187.17623979725910325838215746629' - '187.43801024316386669978570376738' - '187.94932270693244661332183735574' - '188.960923474194890850354296955462' - '189.881981817836428566086185182012' - '190.63043484201834557234846871873' - '191.18497490125263842222257466506' - '192.080666187506677724388822284680' - '192.60150442426167880488813559449' - '193.2517465860877296213215523787' - '193.84998899804474674190523628838' - '194.65606399030787780946455590966' - '195.140677638565537590697826042584' - '195.43895053583873054839278107662' - '196.402188040089456387869119778017' - '197.46811832173488904934850676580' - '198.12134399467450534242554124551' - '199.05986307152578689015354404698' - '199.59549898625567654977956671636' - '199.86544342893489453774391506323' prelabel: 1-287-287.104-r0-0 primitive: true rational: false root_analytic_conductor: 1.3328223966973418 root_angle: -0.023378571438530994 root_number: 0.997304058562082336242092102287-0.0733799344207845824601445839891*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.0116892857193' prec: 54 spectral_label: r0-0 st_group: mu(40) symmetry_type: unitary types: - DIR values: - - 1 - 0.978779699188933749399218050268-0.148794254162246294991235329316*I z1: __RealLiteral__: 0 data: '1.15341411807' prec: 44 z2: __RealLiteral__: 0 data: '3.04242608741' prec: 44 z3: __RealLiteral__: 0 data: '4.01188985001' prec: 44 - - algebraic: true analytic_conductor: 1.3328223966973418 bad_primes: - 7 - 41 central_character: '287.104' conductor: 287 conductor_radical: 287 degree: 1 id: 15140 index: 0 instance_types: - DIR instance_urls: - Character/Dirichlet/287/104 is_instance_Artin: false is_instance_BMF: false is_instance_CMF: false is_instance_DIR: true 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: 1-287-287.104-r0-0-0 motivic_weight: 0 mu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 mu_real: - 0 nu_imag: [] nu_real_doubled: [] order_of_vanishing: 0 prelabel: 1-287-287.104-r0-0 primitive: true rational: false root_analytic_conductor: 1.3328223966973418 root_angle: -0.011689285719265497 self_dual: false spectral_label: r0-0 z1: __RealLiteral__: 0 data: '1.15341411807' prec: 44 - - Lhash: dirichlet_L_287.104 Lhash_array: - dirichlet_L_287.104 id: 1796621 label: 1-287-287.104-r0-0-0 type: DIR url: Character/Dirichlet/287/104 label_cols: - label - label - label labels: - 1-287-287.104-r0-0-0 - 1-287-287.104-r0-0-0 - 1-287-287.104-r0-0-0 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-03-29T11:12:18.611488'