data: - - Lhash: '673580640595480564097257518998' a10: - 0.0 - 0.0 a2: - 0.0 - 0.0 a3: - 0.0 - 0.0 a4: - 0.0 - 0.0 a5: - 1.0 - 0.0 a6: - 0.0 - 0.0 a7: - -1.1451026912004225 - 0.0 a8: - 0.0 - 0.0 a9: - 0.0 - 0.0 accuracy: 100 algebraic: true analytic_conductor: 66.11613287362019 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0 - 0 - - 3 - - - 1.0 - 0 - - 0 - 0 - - 5 - - - 1.0 - 0 - - -1.0 - 0 - - 23 - - - 1.0 - 0 - - 1.0 - 0 bad_primes: - 2 - 3 - 5 - 23 central_character: '8280.1' coefficient_field: CDF conductor: 8280 conductor_radical: 690 degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 1.1451026912004225 - 0 - - 7.0 - 0 - - - 1.0 - 0 - - 5.89167093819614 - 0 - - 11.0 - 0 - - - 1.0 - 0 - - 4.89167093819614 - 0 - - 13.0 - 0 - - - 1.0 - 0 - - -5.89167093819614 - 0 - - 17.0 - 0 - - - 1.0 - 0 - - 2.3480338027910124 - 0 - - 19.0 - 0 - - - 1.0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 3.746568246995717 - 0 - - 29.0 - 0 - - - 1.0 - 0 - - -5.68873982660555 - 0 - - 31.0 - 0 - - - 1.0 - 0 - - -4.0 - 0 - - 37.0 - 0 - - - 1.0 - 0 - - -1.0578284203901673 - 0 - - 41.0 - 0 - - - 1.0 - 0 - - -11.493136493991434 - 0 - - 43.0 - 0 - - - 1.0 - 0 - - 7.746568246995717 - 0 - - 47.0 - 0 - - - 1.0 - 0 - - 12.986272987982868 - 0 - - 53.0 - 0 - - - 1.0 - 0 - - 0.7970688884094103 - 0 - - 59.0 - 0 - - - 1.0 - 0 - - -13.891670938196139 - 0 - - 61.0 - 0 - - - 1.0 - 0 - - 15.56668375278456 - 0 - - 67.0 - 0 - - - 1.0 - 0 - - 2.9421715796098327 - 0 - - 71.0 - 0 - - - 1.0 - 0 - - -6.326979011797407 - 0 - - 73.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 79.0 - 0 - - - 1.0 - 0 - - -0.9127257291897449 - 0 - - 83.0 - 0 - - - 1.0 - 0 - - -15.493136493991434 - 0 - - 89.0 - 0 - - - 1.0 - 0 - - -13.384807432187575 - 0 - - 97.0 - 0 - - - 1.0 - 0 - - 2.7970688884094104 - 0 - - 101.0 - 0 - - - 1.0 - 0 - - 9.891670938196139 - 0 - - 103.0 - 0 - - - 1.0 - 0 - - 12.696067605582025 - 0 - - 107.0 - 0 - - - 1.0 - 0 - - -3.6519661972089876 - 0 - - 109.0 - 0 - - - 1.0 - 0 - - -10.0 - 0 - - 113.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 22071393 index: 13 label: 2-8280-1.1-c1-0-13 leading_term: '1.2989448158582860578179049576976' load_key: CMFs-workshop motivic_weight: 1 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 1 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/8280/2/a/bo/1/1 plot_delta: __RealLiteral__: 0 data: '0.046875' prec: 27 plot_values: - 1.2989448158582861 - 1.2886004037420216 - 1.2575661579802793 - 1.2058454982841273 - 1.1334651696620937 - 1.040505285185205 - 0.9271384769407467 - 0.7936755538263337 - 0.6406147060013326 - 0.46869114407600126 - 0.2789240968200432 - 0.07265828011111253 - -0.1484027477995234 - -0.3821735517640748 - -0.6261758907659328 - -0.8775412349665807 - -1.133027616629834 - -1.3890512490485127 - -1.6417328956698898 - -1.8869585226055479 - -2.120453322890819 - -2.337867763026508 - -2.5348738765730383 - -2.707269623477325 - -2.851088757353762 - -2.962713307976706 - -3.03898550590936 - -3.07731576416278 - -3.07578320146362 - -3.033225155475465 - -2.949312202712843 - -2.8246053829203968 - -2.6605926241957696 - -2.45970178222414 - -2.2252882396244082 - -1.9615956520986733 - -1.673689164764573 - -1.3673612381225135 - -1.0490110976174845 - -0.725499728807778 - -0.4039832535010125 - -0.09172841001312322 - 0.20408530957405643 - 0.47657157376535614 - 0.7193452714665657 - 0.9267263508336142 - 1.0939327925214948 - 1.21725599973973 - 1.2942120373622248 - 1.323662535793787 - 1.3058996955085185 - 1.2426906799081723 - 1.1372777533307714 - 0.994331784625617 - 0.8198581628724728 - 0.6210557204983352 - 0.40613088284851834 - 0.184070908752591 - -0.03561830412349148 - -0.2432028628220597 - -0.4290316303607614 - -0.5838576054516932 - -0.6991595849176836 - -0.7674532163843109 - -0.7825803612362665 - -0.7399658875081884 - -0.6368316146416546 - -0.4723581378669353 - -0.24778665505736153 - 0.03354532675586075 - 0.3662384599710693 - 0.7429379333673196 - 1.1545109892459475 - 1.5902922159142772 - 2.0383906519496193 - 2.4860502364568426 - 2.9200528340537155 - 3.3271510526812285 - 3.6945164484350608 - 4.010187556106192 - 4.263501564564058 - 4.445493422467679 - 4.549246741398985 - 4.570182066803479 - 4.506269894088074 - 4.358158174837782 - 4.129206918748673 - 3.8254257597822225 - 3.455313908860739 - 3.0296056316820827 - 2.560928127798913 - 2.063382297371042 - 1.552060214661095 - 1.0425160365870543 - 0.5502094254382045 - 0.08994223912754291 - -0.32468985525776034 - -0.6818091258705585 - -0.9717099717412129 - -1.1872363504518477 - -1.3240657457509823 - -1.3808862768619985 - -1.359457503762629 - -1.2645499535562814 - -1.10376321418768 - -0.8872274234793991 - -0.6271979196659545 - -0.3375575039528607 - -0.03324498845817035 - 0.27036773166232914 - 0.558125110063804 - 0.8157371581918451 - 1.030401036246824 - 1.1913681147649702 - 1.290431248776047 - 1.3223097962361194 - 1.284913754290341 - 1.179473147182105 - 1.0105242991916419 - 0.785750646625902 - 0.5156820355111081 - 0.2132627463590147 - -0.10669549514595686 - -0.4281537989461249 - -0.7345533112864411 - -1.0095593624361041 - -1.2378102286942034 - -1.405637200912224 - -1.5017231470850072 - -1.5176687433598568 - -1.4484389797467263 - -1.2926673097988939 - -1.0528007286652232 - -0.7350758935100749 - -0.34932385693103923 - 0.09139125778592448 - 0.5712866005304245 - 1.0725076142380872 - 1.5758808398637303 - 2.061740149446247 - 2.5107899503293782 - 2.904966398655997 - 3.228256910723454 - 3.4674393489288886 - 3.6127051825009424 - 3.6581355924907264 - 3.602005730429468 - 3.446899895592505 - 3.19962894175012 - 2.8709503788240553 - 2.475100976275738 - 2.0291607608783275 - 1.552275689432018 - 1.0647735462473429 - 0.5872133878705023 - 0.13941281804255728 - -0.2605007115249395 - -0.596968656514668 - -0.8577667800634053 - -1.0346184525139013 - -1.1236237551311423 - -1.1254806450739836 - -1.0454841254799225 - -0.8932999391891842 - -0.6825202667964756 - -0.43001972705629804 - -0.1551401118847151 - 0.12125877819090307 - 0.37783756944972036 - 0.5938551984835911 - 0.7502335994737457 - 0.8305562938269074 - 0.8219503554753612 - 0.7158061679034963 - 0.508296704771174 - 0.20066743525536965 - -0.20072105311675012 - -0.6846035305403854 - -1.2352669171865425 - -1.8332341313882443 - -2.456144015048303 - -3.0797860105354573 - -3.679239842849868 - -4.230064434635108 - -4.709477003797982 - -5.09746298350177 - -5.377760132351256 - -5.538665882632783 - -5.573625365110379 - -5.481568262502284 - -5.266975163617008 - -4.939667794613506 - -4.514331696954515 - -4.009793868041699 - -3.448090843708848 - -2.8533739829413682 - -2.250707691345351 - -1.6648224784809114 - -1.1188877128836041 - -0.6333685081837749 - -0.22502731267173912 - 0.09387636545242893 - 0.3161447536791831 - 0.43992833055217007 - 0.46872361929219974 - 0.41108124878563645 - 0.2800389548920686 - 0.09230928575091404 - -0.1327345571184891 - -0.3742198316283056 - -0.6110187840120781 - -0.8230077967376092 - -0.992270809568257 - -1.104178973993056 - -1.1482845972838303 - -1.1189770433685613 - -1.0158609094202162 - -0.8438318386515704 - -0.6128419661735582 - -0.3373643278950771 - -0.03558263928392062 - 0.27165128467314487 - 0.562036450564416 - 0.8131511065944039 - 1.0038165722727843 - 1.1154191851171735 - 1.1331141606664026 - 1.046840555230023 - 0.8520859883412056 - 0.5503528606162634 - 0.14929381765524488 - -0.33749769095806315 - -0.8910367121423479 - -1.487811674711783 - -2.100922408913758 - -2.7014327713530397 - -3.2598663111819226 - -3.747764208779862 - -4.139219928105689 - -4.41230499117856 - -4.550305085257886 - -4.542695153388541 - -4.385795732172679 - -4.083069875912646 - -3.6450396229881443 - -3.088822037452007 - -2.4373062143871773 - -1.7180130550546289 - -0.96169791584632 - -0.20077133604896225 - 0.5323759560380914 - 1.2070513569570005 - 1.7958486294991927 - 2.276057023216844 - 2.6308117200200227 - 2.849920209755791 - 2.930317259964774 positive_zeros: - '0.53136143387949981017206889952301' - '1.93608396133256169154574182959644' - '2.71102806546761102333311341424729' - '3.22922345547180989544071803473408' - '4.46282235072243650301698966264553' - '5.06758504456611364617480792213022' - '5.70326090631985303720864176355152' - '6.31879384328095965349308238214246' - '7.28124524388511297371163756833387' - '7.80736028605217387281971356927619' prelabel: 2-8280-1.1-c1-0 primitive: true rational: false root_analytic_conductor: 8.131182747523278 root_angle: 0.0 root_number: '1' self_dual: true sign_arg: 0 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '0.53136143387949981017206889952' prec: 103 z2: __RealLiteral__: 0 data: '1.93608396133256169154574182960' prec: 103 z3: __RealLiteral__: 0 data: '2.71102806546761102333311341425' prec: 103 - - algebraic: true analytic_conductor: 66.11613287362019 bad_primes: - 2 - 3 - 5 - 23 central_character: '1.1' conductor: 8280 conductor_radical: 690 degree: 2 id: 22071393 index: 13 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/8280/2/a/bo/1/1 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: 2-8280-1.1-c1-0-13 motivic_weight: 1 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 1 order_of_vanishing: 0 prelabel: 2-8280-1.1-c1-0 primitive: true rational: false root_analytic_conductor: 8.131182747523278 root_angle: 0.0 self_dual: true spectral_label: c1-0 z1: __RealLiteral__: 0 data: '0.53136143387949981017206889952' prec: 103 - - Lhash: '673580640595480564097257518998' Lhash_array: - '673580640595480564097257518998' id: 22444174 label: 2-8280-1.1-c1-0-13 type: CMF url: ModularForm/GL2/Q/holomorphic/8280/2/a/bo/1/1 label_cols: - label - label - label labels: - 2-8280-1.1-c1-0-13 - 2-8280-1.1-c1-0-13 - 2-8280-1.1-c1-0-13 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-20T02:13:23.160056'