data: - - Lhash: '57427554566244134950295168695' a10: - 3899.579425938362 - 0.0 a2: - -8.0 - 0.0 a3: - -27.0 - 0.0 a4: - 64.0 - 0.0 a5: - -487.44742824229525 - 0.0 a6: - 216.0 - 0.0 a7: - 343.0 - 0.0 a8: - -512.0 - 0.0 a9: - 729.0 - 0.0 accuracy: 100 algebraic: true analytic_conductor: 170.56222391433056 analytic_normalization: __RealLiteral__: 0 data: '3.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 8.0 - 0 - - 3 - - - 1.0 - 0 - - 27.0 - 0 - - 7 - - - 1.0 - 0 - - -343.0 - 0 - - 13 - - - 1.0 - 0 - - -2197.0 - 0 bad_primes: - 2 - 3 - 7 - 13 central_character: '546.1' coefficient_field: CDF conductor: 546 conductor_radical: 546 degree: 2 euler_factors: - - - 1.0 - 0 - - 8.0 - 0 - - - 1.0 - 0 - - 27.0 - 0 - - - 1.0 - 0 - - 487.44742824229525 - 0 - - 78125.0 - 0 - - - 1.0 - 0 - - -343.0 - 0 - - - 1.0 - 0 - - 6609.144929639909 - 0 - - 19487171.0 - 0 - - - 1.0 - 0 - - -2197.0 - 0 - - - 1.0 - 0 - - -8891.521453311416 - 0 - - 410338673.0 - 0 - - - 1.0 - 0 - - -7882.694401605659 - 0 - - 893871739.0 - 0 - - - 1.0 - 0 - - 107716.28930222233 - 0 - - 3404825447.0 - 0 - - - 1.0 - 0 - - 127254.27595242357 - 0 - - 17249876309.0 - 0 - - - 1.0 - 0 - - -86977.90141778572 - 0 - - 27512614111.0 - 0 - - - 1.0 - 0 - - 233049.31033872193 - 0 - - 94931877133.0 - 0 - - - 1.0 - 0 - - -293447.50759502983 - 0 - - 194754273881.0 - 0 - - - 1.0 - 0 - - 259604.97289488988 - 0 - - 271818611107.0 - 0 - - - 1.0 - 0 - - 244441.46015566096 - 0 - - 506623120463.0 - 0 - - - 1.0 - 0 - - 1772009.5364106551 - 0 - - 1174711139837.0 - 0 - - - 1.0 - 0 - - 1299138.8345914385 - 0 - - 2488651484819.0 - 0 - - - 1.0 - 0 - - 2803378.1237608125 - 0 - - 3142742836021.0 - 0 - - - 1.0 - 0 - - 3333582.7334320717 - 0 - - 6060711605323.0 - 0 - - - 1.0 - 0 - - -1676915.8701090585 - 0 - - 9095120158391.0 - 0 - - - 1.0 - 0 - - 932381.0634029434 - 0 - - 11047398519097.0 - 0 - - - 1.0 - 0 - - 3168272.9783784463 - 0 - - 19203908986159.0 - 0 - - - 1.0 - 0 - - -4518575.105734559 - 0 - - 27136050989627.0 - 0 - - - 1.0 - 0 - - 13119830.275904242 - 0 - - 44231334895529.0 - 0 - - - 1.0 - 0 - - 11292245.154507352 - 0 - - 80798284478113.0 - 0 - - - 1.0 - 0 - - 11824485.995203182 - 0 - - 107213535210701.0 - 0 - - - 1.0 - 0 - - -4098890.6504229032 - 0 - - 122987386542487.0 - 0 - - - 1.0 - 0 - - 6617645.69455631 - 0 - - 160578147647843.0 - 0 - - - 1.0 - 0 - - -1168471.553227652 - 0 - - 182803912081669.0 - 0 - - - 1.0 - 0 - - -5461210.10380475 - 0 - - 235260548044817.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 20535458 index: 1 label: 2-546-1.1-c7-0-1 leading_term: '0.0079863348196485729311286446401701' load_key: CMFs-workshop motivic_weight: 7 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 7 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/546/8/a/n/1/1 plot_delta: __RealLiteral__: 0 data: '0.05859375' prec: 34 plot_values: - 0.007986334819648572 - -0.005359741498265937 - -0.044981726004199155 - -0.10964065741478073 - -0.1973039859952525 - -0.3051934973143616 - -0.4298511045760878 - -0.5672212291294976 - -0.7127481523607174 - -0.8614864080113072 - -1.008221997123368 - -1.1476019533814503 - -1.2742695696732715 - -1.383002422193604 - -1.4688502011431792 - -1.527269281493956 - -1.5542509474292854 - -1.5464402233576267 - -1.5012423655256484 - -1.4169142329873694 - -1.292637985702884 - -1.1285748502825936 - -0.9258970484125963 - -0.6867963958362728 - -0.41446854586706017 - -0.11307236405289901 - 0.21233552857728283 - 0.5558904272878111 - 0.9110322184490476 - 1.270639246121321 - 1.627180970241586 - 1.9728864527074677 - 2.2999251850281692 - 2.6005963052343883 - 2.867521857910288 - 3.0938394443353907 - 3.2733894034304742 - 3.4008915704452827 - 3.4721066889024903 - 3.4839777093891406 - 3.434746500472765 - 3.324041922992357 - 3.152935776180115 - 2.9239638055123853 - 2.6411097568241 - 2.3097513539724117 - 1.9365680492304187 - 1.5294114240406809 - 1.0971401769645468 - 0.6494226971733239 - 0.19651125520624715 - -0.2510071836533903 - -0.6824776360722677 - -1.0874546210573106 - -1.4559832710281764 - -1.778876353107066 - -2.0479792948715723 - -2.2564153038746544 - -2.3988028981355267 - -2.4714386315622283 - -2.472438502791759 - -2.4018324695974345 - -2.261607637430416 - -2.0556970257230716 - -1.7899123077426515 - -1.4718205306320367 - -1.1105665073627002 - -0.7166442822685621 - -0.3016227536444022 - 0.12216786445198932 - 0.5419805989129881 - 0.9450178827309953 - 1.3188088934451792 - 1.6515868924590444 - 1.9326549811249973 - 2.152728632337504 - 2.3042436722345947 - 2.3816190823117633 - 2.38146506208794 - 2.3027282176677266 - 2.146767490244614 - 1.9173564662071954 - 1.6206099606441042 - 1.2648351718364979 - 0.8603101902882775 - 0.4189951300901566 - -0.04581645272987666 - -0.5198959673269506 - -0.9885161685614182 - -1.4369120317382156 - -1.8507514232252604 - -2.216600116473969 - -2.5223654626658414 - -2.7577033250017595 - -2.914373735371972 - -2.9865321219730423 - -2.970944856330767 - -2.86712022806148 - -2.6773487063870753 - -2.406649402387962 - -2.0626229038465174 - -1.6552140022399002 - -1.196391148045817 - -0.699752631500369 - -0.1800723678144762 - 0.34719934899683674 - 0.8664627780168176 - 1.3625046171713593 - 1.8210233920405365 - 2.229124894319448 - 2.575768952921081 - 2.8521502909288046 - 3.0519983913750406 - 3.1717841010834285 - 3.210824054054704 - 3.17127777868651 - 3.058036429843881 - 2.878506304254857 - 2.6422944917585034 - 2.360808016770178 - 2.0467814672050437 - 1.7137512342724395 - 1.3754969541369932 - 1.0454724318926132 - 0.7362491482191335 - 0.4589953411115982 - 0.22301259749934052 - 0.03534989966691872 - -0.0994877939395748 - -0.17972299910075262 - -0.20637204638114212 - -0.1831899491559513 - -0.11649451052924716 - -0.014875542716009443 - 0.11119989545481888 - 0.24987065459165372 - 0.38843333389748097 - 0.5139397248201216 - 0.6138143330118542 - 0.6764650570535049 - 0.691859848846032 - 0.6520431110144066 - 0.5515676923851901 - 0.387821562622248 - 0.16123246916290243 - -0.12466105659802668 - -0.46327827410594197 - -0.8452042152881366 - -1.2585306556500773 - -1.6893175520984773 - -2.1221567361742957 - -2.5408146477867604 - -2.928926821005842 - -3.2707138998878444 - -3.5516873326129716 - -3.7593126753390074 - -3.8835996802402697 - -3.917591026331163 - -3.8577255907556363 - -3.704057400762636 - -3.460317640696058 - -3.133814049730852 - -2.735169428875421 - -2.277908445485017 - -1.7779091321015452 - -1.252742078181269 - -0.7209259814366613 - -0.2011326684132964 - 0.2886223300496078 - 0.7317662320429535 - 1.1138954891552055 - 1.4234074975706696 - 1.6520066356977539 - 1.7950591999001517 - 1.8517786228060178 - 1.8252302160613088 - 1.7221532253077894 - 1.5526068200976935 - 1.3294553406024125 - 1.0677162563259346 - 0.7838014454044793 - 0.49468819901872085 - 0.21706047307181459 - -0.03353689809753883 - -0.24348820154779233 - -0.40180026663716933 - -0.5006626413820685 - -0.5358439275637581 - -0.5069014341597118 - -0.41719040554280135 - -0.2736690940472708 - -0.08650639316848588 - 0.1314908908171602 - 0.3656043040464483 - 0.6000481034737348 - 0.8188892454129546 - 1.006995524609736 - 1.1509616838725736 - 1.2399631342254793 - 1.2664893469769476 - 1.2269139523482395 - 1.1218659222967857 - 0.9563756186995072 - 0.7397805277410904 - 0.4853876559000031 - 0.20990223801871122 - -0.06735503538154329 - -0.32540827813203543 - -0.5427197783244251 - -0.6983636969961695 - -0.7732213844654702 - -0.7511365267403924 - -0.6199683552467606 - -0.3724843618693911 - -0.007040286351315887 - 0.4719956505658058 - 1.0541055982365939 - 1.7227896856581906 - 2.4560410965942863 - 3.2271157729948188 - 4.005568572126949 - 4.758513367983891 - 5.452052020202178 - 6.052807027869867 - 6.529485625924423 - 6.85439951016716 - 7.004864565351055 - 6.964409002953338 - 6.723726077022478 - 6.2813187270191735 - 5.643797599610156 - 4.825810266834557 - 3.849597292790412 - 2.744189217394528 - 1.544276586453149 - 0.2888019234146412 - -0.9806628808699455 - -2.2216786824645807 - -3.3927576561416966 - -4.45515141744115 - -5.374522303109379 - -6.122416351336172 - -6.677465684006836 - -7.026260964164366 - -7.163850756935706 - -7.093843156205085 - -6.828105008259981 - -6.386074432932001 - -5.793722041667859 - -5.082214230934415 - -4.286347217292506 - -3.4428322387993253 - -2.5885199178476697 - -1.758654723851927 - -0.9852485973774296 - -0.2956561678663721 - 0.288577057073847 positive_zeros: - '0.04530235267975639826289814977915' - '1.48564716418333705211804844895460' - '2.95524763766611192832219562135849' - '4.02609944542971233022375198941194' - '5.03336761683173455271756471894242' - '6.11376822506327278460965374379192' - '7.45470667370181799746129770783435' - '7.80040232562691472912828623019362' - '8.471944195044166301988990573708271' - '9.808671703950889903006694949843084' prelabel: 2-546-1.1-c7-0 primitive: true rational: false root_analytic_conductor: 13.059947316675155 root_angle: 0.0 root_number: '1' self_dual: true sign_arg: 0 spectral_label: c7-0 types: - CMF z1: __RealLiteral__: 0 data: '0.04530235267975639826289814978' prec: 103 z2: __RealLiteral__: 0 data: '1.48564716418333705211804844895' prec: 103 z3: __RealLiteral__: 0 data: '2.95524763766611192832219562136' prec: 103 - - algebraic: true analytic_conductor: 170.56222391433056 bad_primes: - 2 - 3 - 7 - 13 central_character: '1.1' conductor: 546 conductor_radical: 546 degree: 2 id: 20535458 index: 1 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/546/8/a/n/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: 2-546-1.1-c7-0-1 motivic_weight: 7 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 7 order_of_vanishing: 0 prelabel: 2-546-1.1-c7-0 primitive: true rational: false root_analytic_conductor: 13.059947316675155 root_angle: 0.0 self_dual: true spectral_label: c7-0 z1: __RealLiteral__: 0 data: '0.04530235267975639826289814978' prec: 103 - - Lhash: '57427554566244134950295168695' Lhash_array: - '57427554566244134950295168695' id: 20903454 label: 2-546-1.1-c7-0-1 type: CMF url: ModularForm/GL2/Q/holomorphic/546/8/a/n/1/1 label_cols: - label - label - label labels: - 2-546-1.1-c7-0-1 - 2-546-1.1-c7-0-1 - 2-546-1.1-c7-0-1 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-25T16:35:32.161442'