data: - - Lhash: '1427236857396184475197907117789' a10: - 0 - 0 a2: - 0 - 0 a3: - 0 - 0 a4: - 0 - 0 a5: - 2.1171542071936647 - 4.529642156171077 a6: - 0 - 0 a7: - -6.195880593721209 - 3.577193328651718 a8: - 0 - 0 a9: - 0 - 0 accuracy: 100 algebraic: true analytic_conductor: 44.1418028263681 analytic_normalization: __RealLiteral__: 0 data: '1.0' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0 - 0 - - 3 - - - 1.0 - 0 - - 0 - 0 - - 5 - - - 1.0 - 0 - - -2.1171542071936647 - -4.529642156171077 bad_primes: - 2 - 3 - 5 central_character: '1620.1349' coefficient_field: CDF conductor: 1620 conductor_radical: 30 conjugate: '69846009525741690463696958778' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - -2.1171542071936647 - -4.529642156171077 - - - 1.0 - 0 - - 6.195880593721209 - -3.577193328651718 - - 24.5 - -42.4352447854375 - - - 1.0 - 0 - - 4.390608804988488 - -2.5349191754664444 - - 60.5 - -104.78907385791707 - - - 1.0 - 0 - - -2.7079076830990814 - -1.5634112297779106 - - 84.5 - 146.35829323957014 - - - 1.0 - 0 - - 8.72841614740048 - 0 - - 289.0 - 0 - - - 1.0 - 0 - - 20.18524844220144 - 0 - - 361.0 - 0 - - - 1.0 - 0 - - 7.36420807370024 - -12.755182541157748 - - -264.5 - -458.12743860196804 - - - 1.0 - 0 - - -34.46737587922817 - 19.8997487421324 - - 420.5 - -728.3273645827129 - - - 1.0 - 0 - - -19.68524844220144 - 34.09585046150899 - - -480.5 - -832.2504130368455 - - - 1.0 - 0 - - 0 - 34.87119154832539 - - -1369.0 - 0 - - - 1.0 - 0 - - 11.489125293076057 - 6.6332495807108 - - 840.5 - 1455.7887037616413 - - - 1.0 - 0 - - 57.69076779906692 - -33.30778031854748 - - 924.5 - -1601.280971597427 - - - 1.0 - 0 - - 8.45683229480096 - 14.647663205684566 - - -1104.5 - 1913.050116959825 - - - 1.0 - 0 - - -4.629503115597119 - 0 - - 2809.0 - 0 - - - 1.0 - 0 - - 22.320756025472384 - 12.886894499822441 - - 1740.5 - 3014.634430573631 - - - 1.0 - 0 - - -6.092624221100721 - -10.552734702371204 - - -1860.5 - 3222.4805274818964 - - - 1.0 - 0 - - -92.15814367829509 - -53.207529060679875 - - 2244.5 - 3887.5880375883453 - - - 1.0 - 0 - - 0 - 101.48675218542034 - - -5041.0 - 0 - - - 1.0 - 0 - - 0 - 23.2646434482939 - - -5329.0 - 0 - - - 1.0 - 0 - - -33.27787266330216 - -57.63896622064677 - - -3120.5 - 5404.864545018681 - - - 1.0 - 0 - - 72.1420807370024 - 124.95374920022415 - - -3444.5 - 5966.049006670998 - - - 1.0 - 0 - - 0 - 154.55274883110675 - - -7921.0 - 0 - - - 1.0 - 0 - - -152.18910715993115 - 87.86642198651505 - - 4704.5 - -8148.433024207783 - - - 1.0 - 0 - - -129.45599790746564 - 74.74145524008692 - - 5100.5 - -8834.325144005059 - - - 1.0 - 0 - - -24.783522374884836 - -14.308773314606873 - - 5304.5 - 9187.66350874911 - - - 1.0 - 0 - - 156.2967390954101 - 0 - - 11449.0 - 0 - - - 1.0 - 0 - - -8.555745326604322 - 0 - - 11881.0 - 0 - - - 1.0 - 0 - - 92.18524844220144 - -159.6695340102526 - - -6384.5 - -11058.278380923497 gamma_factors: - [] - - 0 group: GL2 id: 24045124 index: 32 label: 2-1620-45.14-c2-0-32 leading_term: '0.198995471041142957382114738902551812681207216423486947' load_key: CMFs-workshop motivic_weight: 2 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 2 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/1620/3/t/d/1349/3 plot_delta: __RealLiteral__: 0 data: '0.05859375' prec: 34 plot_values: - 0.19899547104114296 - 0.397001933173723 - 0.579092249005208 - 0.743429329799397 - 0.8882622730163219 - 1.0119310061591613 - 1.1128791483987985 - 1.1896754603791346 - 1.2410436953127886 - 1.2659001189554158 - 1.2633974586434527 - 1.2329735932765595 - 1.1744029221349133 - 1.0878480606434386 - 0.9739093112343442 - 0.8336692498523066 - 0.668729754002561 - 0.4812388760903455 - 0.2739051350481579 - 0.04999705824986705 - -0.18667384798115022 - -0.43178809106853544 - -0.6805720319604669 - -0.9278708778739351 - -1.1682404966688513 - -1.3960570390925047 - -1.6056426448649692 - -1.7914047910360935 - -1.9479861397133984 - -2.0704210829705496 - -2.1542945929289328 - -2.1958984927464305 - -2.1923798971923345 - -2.1418763556254032 - -2.0436321885760327 - -1.8980906605778707 - -1.7069569897133297 - -1.4732277651833572 - -1.2011831270730804 - -0.8963390479090809 - -0.5653582252004132 - -0.21591942043080756 - 0.143453473461694 - 0.5035998318818935 - 0.8549638154905618 - 1.1878631421177874 - 1.4927778352143337 - 1.7606504130201448 - 1.9831879468855067 - 2.153155662223953 - 2.2646513343117367 - 2.3133496874076256 - 2.2967063715317493 - 2.214111884638907 - 2.0669870306088884 - 1.8588131395642513 - 1.595092292139155 - 1.283235130505516 - 0.9323764353991838 - 0.5531214129802359 - 0.1572284671645605 - -0.24276297944360462 - -0.6339484277920141 - -1.0035044768687673 - -1.3391497560126984 - -1.6296037045206635 - -1.865025453496116 - -2.037414906808998 - -2.1409586872462936 - -2.172304933135565 - -2.1307529914269536 - -2.0183468138353 - -1.8398642479824916 - -1.602698317751126 - -1.3166308684654306 - -0.993503449423538 - -0.6467948349409466 - -0.2911189485489692 - 0.05833904849762929 - 0.38642731150308524 - 0.6786486338636344 - 0.9217728882429906 - 1.1044142078660522 - 1.2175469262478529 - 1.2549358641668786 - 1.2134592870677532 - 1.0933066911155538 - 0.8980383937901093 - 0.6344995346322797 - 0.31258731538959283 - -0.0551231317704816 - -0.4538822521881958 - -0.8673806080880125 - -1.2784503240583294 - -1.669824400221325 - -2.0249210826940223 - -2.3286180829008623 - -2.5679805917797216 - -2.7329078544634977 - -2.8166655929691387 - -2.8162757450453584 - -2.7327406996185526 - -2.5710862448767315 - -2.3402155203549904 - -2.052575030894388 - -1.723642838703297 - -1.3712579673426954 - -1.0148183825657497 - -0.6743822226725078 - -0.36971282996475513 - -0.11931223325696591 - 0.06051022825351975 - 0.1564876525170344 - 0.15911973217311612 - 0.0632321736198357 - -0.13166082527690087 - -0.42121443391441454 - -0.7963444870035 - -1.2435540185117682 - -1.7454850499386982 - -2.281673990349388 - -2.829478068345585 - -3.3651305956813267 - -3.8648751058771325 - -4.306122989538797 - -4.668576526606094 - -4.935259430795753 - -5.093400262237976 - -5.135120261860552 - -5.057886085781489 - -4.864699185300607 - -4.564006663323438 - -4.169332699342678 - -3.698644343895636 - -3.173479861042019 - -2.6178810559561745 - -2.057182410157304 - -1.5167186820311966 - -1.0205183552832005 - -0.5900525258317482 - -0.24310728267927084 - 0.007157664704945461 - 0.15291024692221075 - 0.19206539795624059 - 0.12839542769682244 - -0.028679135051615956 - -0.26461122659348835 - -0.5605368897294537 - -0.8943317016250707 - -1.2418581497713985 - -1.5783362709361812 - -1.8797615946571755 - -2.1242903028656372 - -2.2935118789565885 - -2.3735344720126053 - -2.3558175805479484 - -2.2377000382604706 - -2.022587989061788 - -1.7197866828489456 - -1.343980450713045 - -0.9143859600232699 - -0.4536235910020358 - 0.0136306739506389 - 0.46213619403981043 - 0.8676347478179534 - 1.2083619248347408 - 1.466431246322564 - 1.629005144642394 - 1.6891779229979107 - 1.6465115603831455 - 1.5071848950568618 - 1.2837392260038814 - 0.9944274268698241 - 0.6621978523290154 - 0.31336716769851347 - -0.023943674594937094 - -0.3215200466492584 - -0.5528096695747231 - -0.6946178904140462 - -0.7286374414305368 - -0.6427157471459084 - -0.43177679856945833 - -0.0983339733680779 - 0.3474461213786392 - 0.8881420339381579 - 1.4999232644474856 - 2.153800908192719 - 2.8172148798045473 - 3.4558674462983983 - 4.035695939850737 - 4.524866979488927 - 4.895671100864836 - 5.12620074157513 - 5.201705958577638 - 5.115540496935078 - 4.869634872845621 - 4.474461574392627 - 3.9484886048634404 - 3.3171494710507488 - 2.611388337603089 - 1.8658664506562341 - 1.1169382682238571 - 0.4005214971013822 - -0.2500067046826726 - -0.805755399833222 - -1.2439842412694797 - -1.5493802055580237 - -1.7148643018734575 - -1.7418754729551618 - -1.6401123275669955 - -1.4267484565404125 - -1.1251716053488028 - -0.7633286192475519 - -0.3717847031337023 - 0.0183746992709213 - 0.377659628194576 - 0.6801668662969487 - 0.9053118659500684 - 1.039182833979125 - 1.0754230214677143 - 1.0155785045209114 - 0.8688846551698673 - 0.6515027308301475 - 0.38525599475031813 - 0.09594992545047075 - -0.18860906900770893 - -0.44075958086570427 - -0.6351455807804781 - -0.7507378704048002 - -0.7725706231247115 - -0.6930646585779408 - -0.5128359392764544 - -0.2409221410610033 - 0.10560021019170536 - 0.5025932782602901 - 0.9203733734204449 - 1.3256687541211238 - 1.6838913385147642 - 1.9615693800835177 - 2.128773869023505 - 2.161368536268849 - 2.0429222756909877 - 1.766143158668083 - 1.3337237828642656 - 0.7585265236315454 - 0.06308177497862628 - -0.7215805380404977 - -1.5576992829524432 - -2.40304064068214 - -3.2135013714085954 - -3.945885128257752 - -4.560665451945136 - -5.0245472094475465 - -5.312649509014095 - -5.410156946421339 - -5.313320926417181 - -5.029736460337909 positive_zeros: - '1.12589135929034622325486357763588' - '2.43764850633398577759564245037214' - '3.53862448186741028213085489402719' - '4.56034701244226190123994433144665' - '5.26501652651726388340955596389318' - '6.48115770297260816055374586243422' - '6.70217868861002018147771705606586' - '8.259629249769735303721016719700370' - '8.487404177250751141643689962113767' - '9.490460007441595246114808148805193' prelabel: 2-1620-45.14-c2-0 primitive: true rational: false root_analytic_conductor: 6.643929772835358 root_angle: 0.6386034380947213 root_number: -0.4218053421745007625507075124132062511495689837260770075 + 0.9066864139894522144651404685427925616015694593918956692*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.31930171904736065' prec: 64 spectral_label: c2-0 types: - CMF z1: __RealLiteral__: 0 data: '1.12589135929034622325486357764' prec: 103 z2: __RealLiteral__: 0 data: '2.43764850633398577759564245037' prec: 103 z3: __RealLiteral__: 0 data: '3.53862448186741028213085489403' prec: 103 - - algebraic: true analytic_conductor: 44.1418028263681 bad_primes: - 2 - 3 - 5 central_character: '45.14' conductor: 1620 conductor_radical: 30 degree: 2 id: 24045124 index: 32 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/1620/3/t/d/1349/3 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: 2-1620-45.14-c2-0-32 motivic_weight: 2 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 2 order_of_vanishing: 0 prelabel: 2-1620-45.14-c2-0 primitive: true rational: false root_analytic_conductor: 6.643929772835358 root_angle: 0.31930171904736065 self_dual: false spectral_label: c2-0 z1: __RealLiteral__: 0 data: '1.12589135929034622325486357764' prec: 103 - - Lhash: '1427236857396184475197907117789' Lhash_array: - '1427236857396184475197907117789' id: 24420175 label: 2-1620-45.14-c2-0-32 type: CMF url: ModularForm/GL2/Q/holomorphic/1620/3/t/d/1349/3 label_cols: - label - label - label labels: - 2-1620-45.14-c2-0-32 - 2-1620-45.14-c2-0-32 - 2-1620-45.14-c2-0-32 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-24T01:37:18.558698'