data: - - Lhash: '2853149048089249148255109850305' a10: - 10.630597564084505 - 0 a2: - -1.0630597564084505 - -1.8412735095812307 a3: - 0 - 0 a4: - 1.7398079086096119 - -3.013435693121998 a5: - -2.5 - 4.330127018922194 a6: - 0 - 0 a7: - -15.350021289913341 - -26.58701677139386 a8: - -24.407035188631326 - 0 a9: - 0 - 0 accuracy: 100 algebraic: true analytic_conductor: 23.89577355232496 analytic_normalization: __RealLiteral__: 0 data: '1.5' prec: 10 bad_lfactors: - - 3 - - - 1.0 - 0 - - 0 - 0 - - 5 - - - 1.0 - 0 - - 2.5 - -4.330127018922194 bad_primes: - 3 - 5 central_character: '405.271' coefficient_field: CDF conductor: 405 conductor_radical: 15 conjugate: '172938314993102325162385373053' degree: 2 euler_factors: - - - 1.0 - 0 - - 1.0630597564084505 - 1.8412735095812307 - - -4.0 - 6.928203230275509 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 2.5 - -4.330127018922194 - - - 1.0 - 0 - - 15.350021289913341 - 26.58701677139386 - - -171.5 - 297.04671349806245 - - - 1.0 - 0 - - 25.077398081498764 - 43.435327598786145 - - -665.5 - 1152.6798124370878 - - - 1.0 - 0 - - -7.979615817219224 - 13.821100020303943 - - -1098.5 - -1902.6578121144116 - - - 1.0 - 0 - - -105.66823031680033 - 0 - - 4913.0 - 0 - - - 1.0 - 0 - - 21.303969567287805 - 0 - - 6859.0 - 0 - - - 1.0 - 0 - - 68.06844197896355 - -117.8979998996191 - - -6083.5 - -10536.931087845265 - - - 1.0 - 0 - - -112.16161968946564 - -194.26962396137225 - - -12194.5 - 21121.493572898675 - - - 1.0 - 0 - - -112.99091739495493 - 195.70600972188 - - -14895.5 - -25799.76280414221 - - - 1.0 - 0 - - 416.3859320966777 - 0 - - 50653.0 - 0 - - - 1.0 - 0 - - 38.07057455503065 - -65.940169402652 - - -34460.5 - -59687.336854227295 - - - 1.0 - 0 - - 15.868612298270278 - 27.485242746216453 - - -39753.5 - 68855.08177868936 - - - 1.0 - 0 - - 30.401285927414225 - 52.656571841710154 - - -51911.5 - 89913.35549711177 - - - 1.0 - 0 - - 466.53177215714004 - 0 - - 148877.0 - 0 - - - 1.0 - 0 - - 47.71193656422537 - -82.63949825674159 - - -102689.5 - -177863.43140384424 - - - 1.0 - 0 - - -178.5870329873205 - -309.3218147070182 - - -113490.5 - 196571.31217639567 - - - 1.0 - 0 - - 43.9171920589274 - -76.06680797182268 - - -150381.5 - -260468.39851841913 - - - 1.0 - 0 - - -412.69298200277376 - 0 - - 357911.0 - 0 - - - 1.0 - 0 - - 331.1328718108126 - 0 - - 389017.0 - 0 - - - 1.0 - 0 - - -124.06157834660914 - -214.88095696351388 - - -246519.5 - 426984.29905647587 - - - 1.0 - 0 - - -276.2526648239006 - -478.4836512012914 - - -285893.5 - 495182.06755369285 - - - 1.0 - 0 - - 291.4784613401956 - 0 - - 704969.0 - 0 - - - 1.0 - 0 - - 99.30323470368006 - 171.9982478627108 - - -456336.5 - 790398.003348155 - - - 1.0 - 0 - - 408.1174876437738 - 706.8802240563797 - - -515150.5 - 892266.8395445109 - - - 1.0 - 0 - - -701.1863296969852 - 1214.4903486079204 - - -546363.5 - -946329.3414011582 - - - 1.0 - 0 - - 978.9961925550024 - 0 - - 1225043.0 - 0 - - - 1.0 - 0 - - -2122.962007520189 - 0 - - 1295029.0 - 0 - - - 1.0 - 0 - - 897.3993405264616 - -1554.3412524706357 - - -721448.5 - -1249585.457044355 gamma_factors: - [] - - 0 group: GL2 id: 23696620 index: 46 label: 2-405-9.4-c3-0-46 leading_term: '0.339723228481619467669842442565497520492792539341262201' load_key: CMFs-workshop motivic_weight: 3 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 3 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/405/4/e/q/271/2 plot_delta: __RealLiteral__: 0 data: '0.0703125' prec: 30 plot_values: - 0.33972322848161945 - 0.5348774516213054 - 0.7410935638205045 - 0.9562233435795249 - 1.1779658820489955 - 1.4038622779673615 - 1.6312924880802724 - 1.8574759745429732 - 2.07947771597764 - 2.2942210000621377 - 2.498508198817794 - 2.6890504509740607 - 2.862506847880067 - 3.0155333500060983 - 3.1448412600792954 - 3.2472646565406516 - 3.3198357578555755 - 3.359866755344592 - 3.3650362314343134 - 3.3334778842400388 - 3.263868921761728 - 3.1555151840759375 - 3.0084298146209085 - 2.8234021469536077 - 2.6020534156408455 - 2.346875952439861 - 2.061252702818451 - 1.7494542015042787 - 1.416610583806452 - 1.0686567821392836 - 0.7122497595930931 - 0.35465745398029064 - 0.003620029983405076 - -0.3328149588111289 - -0.64648084069838 - -0.9292997994076667 - -1.1735057692311823 - -1.371876483573446 - -1.5179680308772519 - -1.6063445486756518 - -1.6327951624557946 - -1.5945299923755496 - -1.490347043607516 - -1.3207620936929167 - -1.088094311738587 - -0.7965012971525824 - -0.45195850448416913 - -0.06217960627164255 - 0.3635237967251266 - 0.814442628099564 - 1.2787282213956186 - 1.7437025857341326 - 2.1962136791951985 - 2.6230260975602566 - 3.011235564915805 - 3.348693891039389 - 3.624429735126309 - 3.829049674464215 - 3.955103795032013 - 3.99740035569286 - 3.953255063533255 - 3.822662144100756 - 3.6083766774832298 - 3.3159005499373064 - 2.953367761261091 - 2.531328621099599 - 2.0624364268646436 - 1.5610443832424161 - 1.0427246225073923 - 0.5237250299428188 - 0.02038298116057613 - -0.4514821239556026 - -0.8771736589199572 - -1.2436949735136131 - -1.5402740611144268 - -1.7588118423457024 - -1.8942324353116957 - -1.9447170936181515 - -1.9118078091192423 - -1.8003717551037288 - -1.618423594668016 - -1.3768089604988722 - -1.088758851992418 - -0.7693309941551618 - -0.43476004876951174 - -0.10174365359476759 - 0.21330469946475686 - 0.4950022057313452 - 0.7297077454196842 - 0.9061628015447031 - 1.0160299028078936 - 1.0543000315220692 - 1.0195458593730955 - 0.9140044888357058 - 0.7434813069658542 - 0.517075248984647 - 0.24673480991090638 - -0.053336919350635975 - -0.3674015518620668 - -0.678995080011913 - -0.9717881244683607 - -1.2304529736926293 - -1.4414918111572754 - -1.593981068583038 - -1.6801898272376836 - -1.6960355677520766 - -1.6413481599059971 - -1.5199224736034302 - -1.339350945357481 - -1.110639311596581 - -0.8476209021446224 - -0.566196706703074 - -0.28343920294129143 - -0.016607010366096984 - 0.2178757834410521 - 0.40541778014154306 - 0.5341772116114238 - 0.5958414442314077 - 0.5862186517570003 - 0.5056002507817099 - 0.35886446864841537 - 0.15530541913720206 - -0.09181241929425005 - -0.36595823446058395 - -0.6482653858232408 - -0.9186416015847731 - -1.1569994625167621 - -1.344538116830164 - -1.4650012011538212 - -1.5058341791318537 - -1.4591670487971367 - -1.3225556540455456 - -1.0994264339053585 - -0.799184854241822 - -0.4369662340893371 - -0.03302822612191304 - 0.3881943110477742 - 0.7993301610258163 - 1.171546905850201 - 1.4761823358775379 - 1.6864414377687125 - 1.7790606273618284 - 1.7358388799459572 - 1.5449394018359537 - 1.201875491665995 - 0.7101098932582697 - 0.08121751413962339 - -0.6654141921885937 - -1.5033459582436954 - -2.4002794677640407 - -3.319625966923215 - -4.222369891501566 - -5.069126125700548 - -5.8222744761450125 - -6.448046577075308 - -6.918439506221463 - -7.212837211229198 - -7.319235270102973 - -7.2349858931395 - -6.967007307986374 - -6.531433229034324 - -5.952712140311763 - -5.26220053538951 - -4.496326877979489 - -3.694431731908988 - -2.8964122985201386 - -2.1403148481647705 - -1.460025029824513 - -0.8832031082429213 - -0.42959872403771393 - -0.10985833193340815 - 0.07509081513183856 - 0.1340317115649724 - 0.0848146997838134 - -0.04688737168157838 - -0.2293540817369406 - -0.42701454965121305 - -0.6029290252226064 - -0.721395872545382 - -0.7505135251208631 - -0.6645267003731623 - -0.44579721110848 - -0.08626163321288974 - 0.41173033175279805 - 1.0352636248224047 - 1.7614139404637081 - 2.558487399559497 - 3.3878727691778185 - 4.206392896396591 - 4.969006591041728 - 5.63168620832736 - 6.154281617827225 - 6.503179325174002 - 6.653576612369473 - 6.591214158753648 - 6.313445291474725 - 5.829563580172782 - 5.160360055637348 - 4.336933536696149 - 3.398828781833239 - 2.391623830199305 - 1.3641266071760632 - 0.36536879338263184 - -0.5584000357811326 - -1.3665141397593836 - -2.026298895140713 - -2.5149204614889658 - -2.820553620563377 - -2.9427916704247936 - -2.892276093338078 - -2.689579440662765 - -2.363428434300875 - -1.9484017190864928 - -1.482274457280417 - -1.0032071486327683 - -0.5469866993651189 - -0.14452292717336668 - 0.18021639380370577 - 0.41168278883268616 - 0.5435328297471946 - 0.5786719593211694 - 0.5285633991771631 - 0.4118662083494645 - 0.2525188439635889 - 0.0774279757765154 - -0.08604665115009716 - -0.21260438412107646 - -0.28130615193557007 - -0.2774772781833239 - -0.1940526895507813 - -0.03225163656452102 - 0.19847637940901053 - 0.48123293847593807 - 0.7931174127934117 - 1.107221201704451 - 1.3950046516262669 - 1.6288577900937613 - 1.78462791918293 - 1.8438967273440452 - 1.7958072332784438 - 1.6382754465918625 - 1.3784705851858072 - 1.0325072632666332 - 0.6243585377033058 - 0.18406476670116725 - -0.25462558114488976 - -0.6569959227419392 - -0.9902585690674552 - -1.2263663461858763 - -1.3444977333295531 - -1.332996007596031 - -1.1905834401716318 - -0.9267281938791914 - -0.561109895043822 - -0.1222044758324086 - 0.35491627694874756 - 0.8314062335061476 positive_zeros: - '2.25073774080615322608996484684433' - '3.31529663861330577177185364736873' - '4.92480281325066858510860014159012' - '5.99866924765844935303258100149138' - '6.80815545161374175141891435310356' - '7.949942607822487085205696065727892' - '8.553142785021766654431662707062473' - '9.497748435478666975905759415553784' - '10.27380121663108030255104884417549' - '11.98860966019694314547683224953175' prelabel: 2-405-9.4-c3-0 primitive: true rational: false root_analytic_conductor: 4.8883303440259604 root_angle: -0.5555555555555556 root_number: -0.1736481776669303488517166267693147960003756771840693873 - 0.9848077530122080593667430245895230136706432517198424188*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.2777777777777778' prec: 64 spectral_label: c3-0 types: - CMF z1: __RealLiteral__: 0 data: '2.25073774080615322608996484684' prec: 103 z2: __RealLiteral__: 0 data: '3.31529663861330577177185364737' prec: 103 z3: __RealLiteral__: 0 data: '4.92480281325066858510860014159' prec: 103 - - algebraic: true analytic_conductor: 23.89577355232496 bad_primes: - 3 - 5 central_character: '9.4' conductor: 405 conductor_radical: 15 degree: 2 id: 23696620 index: 46 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/405/4/e/q/271/2 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: 2-405-9.4-c3-0-46 motivic_weight: 3 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 3 order_of_vanishing: 0 prelabel: 2-405-9.4-c3-0 primitive: true rational: false root_analytic_conductor: 4.8883303440259604 root_angle: -0.2777777777777778 self_dual: false spectral_label: c3-0 z1: __RealLiteral__: 0 data: '2.25073774080615322608996484684' prec: 103 - - Lhash: '2853149048089249148255109850305' Lhash_array: - '2853149048089249148255109850305' id: 24064801 label: 2-405-9.4-c3-0-46 type: CMF url: ModularForm/GL2/Q/holomorphic/405/4/e/q/271/2 label_cols: - label - label - label labels: - 2-405-9.4-c3-0-46 - 2-405-9.4-c3-0-46 - 2-405-9.4-c3-0-46 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-18T18:42:49.584439'