data: - - Lhash: '3567483123837152619138444413267' a10: - -2.1825070656623624 - -1.4026121234953608 a2: - -0.14231483827328514 - -0.9898214418809327 a3: - 0.41541501300188644 - -0.9096319953545183 a4: - -0.9594929736144974 - 0.28173255684142967 a5: - 1.698938694557896 - -1.9606797731338517 a6: - -0.9594929736144974 - -0.28173255684142967 a7: - -1.0401922273890771 - 0.6684909532967672 a8: - 0.41541501300188644 - 0.9096319953545183 a9: - -0.6548607339452851 - -0.7557495743542583 accuracy: 100 algebraic: true analytic_conductor: 1.1019355478936699 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0.14231483827328514 - 0.9898214418809327 - - 3 - - - 1.0 - 0 - - -0.41541501300188644 - 0.9096319953545183 - - 23 - - - 1.0 - 0 - - -3.3519663355125062 - -3.4299156965719813 bad_primes: - 2 - 3 - 23 central_character: '138.49' coefficient_field: CDF conductor: 138 conductor_radical: 138 conjugate: '1884907294942302784620635025858' degree: 2 euler_factors: - - - 1.0 - 0 - - 0.14231483827328514 - 0.9898214418809327 - - - 1.0 - 0 - - -0.41541501300188644 - 0.9096319953545183 - - - 1.0 - 0 - - -1.698938694557896 - 1.9606797731338517 - - -0.7115741913664257 - -4.949107209404664 - - - 1.0 - 0 - - 1.0401922273890771 - -0.6684909532967672 - - 2.907905091013205 - -6.367423967481629 - - - 1.0 - 0 - - -0.08865782136544045 - 0.6166286920092406 - - -10.554422709759471 - -3.0990581252557265 - - - 1.0 - 0 - - 1.1143537075597825 - 0.7161516426115224 - - 5.400395169024524 - 11.82521593960874 - - - 1.0 - 0 - - -4.516908025893244 - -1.3262838625681943 - - 14.30131005813008 - 9.190893896745159 - - - 1.0 - 0 - - 3.6366657606708093 - -1.0678214132948074 - - 15.983817123792441 - -10.272175531656353 - - - 1.0 - 0 - - -3.3519663355125062 - -3.4299156965719813 - - - 1.0 - 0 - - -1.0669941085739798 - -0.3132977380864766 - - 24.396352452104253 - 15.67858370621233 - - - 1.0 - 0 - - -3.9284905602096356 - -8.602194420447326 - - -20.300682752303835 - 23.428236804982006 - - - 1.0 - 0 - - -1.0655988177295024 - -1.2297665918670868 - - -5.26564901611155 - 36.62339334959451 - - - 1.0 - 0 - - -7.75992468106375 - 8.955430476650061 - - -5.83490836920469 - -40.58267911711824 - - - 1.0 - 0 - - 0.6973926491681159 - -1.5270768921523936 - - -28.159011559647258 - -32.497231697233104 - - - 1.0 - 0 - - 6.944942041629966 - 0 - - 47.0 - 0 - - - 1.0 - 0 - - 9.467208739073687 - -6.084205619309659 - - 22.016995689099982 - -48.21049575378947 - - - 1.0 - 0 - - 8.19910029255918 - 5.269241805917233 - - 24.5094857671113 - 53.668287725916585 - - - 1.0 - 0 - - 5.970992277587097 - 13.07464932588584 - - -39.946504770662386 - 46.10072403560976 - - - 1.0 - 0 - - -0.8711452565426221 - -6.058948345659731 - - -64.28602923217133 - 18.876081308375788 - - - 1.0 - 0 - - 0.9239855743138228 - 6.42646082826749 - - -68.12400112662931 - 20.003011535741507 - - - 1.0 - 0 - - -12.559768787736354 - 3.6878808612597873 - - 61.41150789667623 - -39.466779674258625 - - - 1.0 - 0 - - 10.164312092387886 - 6.532206741537883 - - 32.817786027149026 - 71.86092763300695 - - - 1.0 - 0 - - 4.839869085442685 - 5.585506675926692 - - -11.812131576682667 - 82.15517967611741 - - - 1.0 - 0 - - -1.4061785070986088 - 3.0791014315867704 - - -58.28260532113037 - -67.26171211752899 - - - 1.0 - 0 - - 7.495393317529474 - -8.650145009021022 - - -13.804539312508659 - -96.01267986245047 - - - 1.0 - 0 - - -1.1681003256041569 - -1.3480596379018368 - - -14.373798665601798 - 99.9719656299742 - - - 1.0 - 0 - - 2.8250193504000123 - -19.648441165248343 - - -98.82777628229323 - -29.01845335466726 - - - 1.0 - 0 - - 1.8108854121220304 - 3.965285941120938 - - -70.07009853214551 - 80.86520445590564 - - - 1.0 - 0 - - 6.203487925922933 - 1.8215084036742533 - - 91.69663507859875 - 58.929849102660135 - - - 1.0 - 0 - - -0.19389371180576226 - -1.3485603870952945 - - -108.4227060184382 - 31.835778923081556 gamma_factors: - [] - - 0 group: GL2 id: 9614040 index: 3 label: 2-138-23.3-c1-0-3 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/138/2/e/a/49/1 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 1.133547389990807 - 1.215420146884602 - 1.3132173364374624 - 1.427814053388123 - 1.558407521218844 - 1.7026174301584591 - 1.8566418175574722 - 2.015409011560913 - 2.1727119948914213 - 2.321343827955162 - 2.453264694465072 - 2.5598289174808393 - 2.632091441072908 - 2.661202261508743 - 2.638885927285315 - 2.5579920234374107 - 2.4130917132858607 - 2.201085266452608 - 1.9217766507438983 - 1.5783645309575018 - 1.1777953554266052 - 0.7309245835845792 - 0.2524373453010772 - -0.23950951961969996 - -0.7239458719423647 - -1.1780475629708906 - -1.5783714475331947 - -1.9023128257287467 - -2.1297035660011066 - -2.2444431205941435 - -2.236034039494183 - -2.100881475110329 - -1.8432153032457455 - -1.4755059614639683 - -1.018271997077807 - -0.4992183593719414 - 0.048302161392955754 - 0.58744972529607 - 1.0805597996408471 - 1.4921228528205426 - 1.7918431466117897 - 1.9575011102924789 - 1.9773297064514792 - 1.8516292300736248 - 1.5933896194272126 - 1.2277640171681674 - 0.7903379153407443 - 0.32425708948623505 - -0.12359619551889436 - -0.5070688100068943 - -0.785434189663142 - -0.9278457153024566 - -0.9170504719675733 - -0.7519020944166427 - -0.4483020800473309 - -0.038341903536682036 - 0.43239751050721115 - 0.9092243511263272 - 1.3340185519740895 - 1.6516592244104062 - 1.816501762744734 - 1.7981451400001969 - 1.585752603567603 - 1.190304865247607 - 0.6443687942334709 - -0.0007605833536601833 - -0.6803695612724534 - -1.3235883501953507 - -1.8618211316685662 - -2.2373475675631034 - -2.4110014791193173 - -2.367869754967037 - -2.1201351039908007 - -1.706498862760658 - -1.1880343351966633 - -0.6407897619120255 - -0.14592359221636586 - 0.22145106747001103 - 0.4032717816720011 - 0.3678546786754352 - 0.11613675292699299 - -0.3162507687658472 - -0.8616595449595121 - -1.4278111224148522 - -1.9091895802159389 - -2.201121985244697 - -2.2147572674326845 - -1.8909034405681162 - -1.2107062264367312 - -0.20146602663612634 - 1.0635297704713984 - 2.4715018249219836 - 3.882463820045403 - 5.1459029306629605 - 6.119755432185538 - 6.6891366352460375 - 6.782191295489696 - 6.3807197511787574 - 5.523884996841997 - 4.304238842212122 - 2.8563950849439097 - 1.3397663805047055 - -0.08229755044324913 - -1.264029431915359 - -2.096303113397559 - -2.520407431574393 - -2.534451745467716 - -2.191407207054643 - -1.5890630539689616 - -0.8534428395032925 - -0.11827692801259714 - 0.4962136994550084 - 0.9018225124991025 - 1.0551615201694489 - 0.962688693858794 - 0.6771636589323765 - 0.2861780814505735 - -0.105231741969594 - -0.3948387689846138 - -0.5027586389362766 - -0.3867576908947177 - -0.050534946978845474 - 0.4566014280554469 - 1.048706773080715 - 1.6192812398830088 - 2.0615731933599726 - 2.289364136763546 - 2.2543072168279346 - 1.9564294946729133 - 1.445598789176811 - 0.8134013795475573 - 0.17668588719651468 - -0.344333623536853 - -0.6493733540866297 - -0.6783113576397782 - -0.4243107006430007 - 0.06299543662781534 - 0.6852738159442914 - 1.313145543513465 - 1.8106818014725434 - 2.062228964751858 - 1.9963943868298117 - 1.6023456829242264 - 0.934860000733448 - 0.10660078879213775 - -0.7314649911472997 - -1.4182245094805357 - -1.8140269749593065 - -1.8296958071553018 - -1.4471209874124171 - -0.7269831594358968 - 0.19852619377307942 - 1.1472863707436582 - 1.9196011419606476 - 2.3355353868076505 - 2.270225171674701 - 1.6802560588407627 - 0.6156683678712516 - -0.7852623931851583 - -2.3180747915561515 - -3.747319365273141 - -4.84854986083054 - -5.4492432415689604 - -5.460779688312718 - -4.895164470390543 - -3.863017286895235 - -2.552959664415137 - -1.1961940357800658 - -0.023052260965404255 - 0.7800242227052047 - 1.1045989007227164 - 0.9386775670841756 - 0.3658014287532211 - -0.4549725220529824 - -1.3240678333273816 - -2.044123986257635 - -2.4615945025630634 - -2.498523893727309 - -2.1678343039914556 - -1.5688953826002863 - -0.864315900629118 - -0.24290866466053657 - 0.1232182695239189 - 0.11816100266896173 - -0.29031926662766094 - -1.041475118248958 - -1.9926107359961365 - -2.9482853271630347 - -3.701501648238633 - -4.078017299558343 - -3.974148398505013 - -3.3797774987615417 - -2.3814622264708265 - -1.1448855097861632 - 0.11956059324015267 - 1.2005227895979744 - 1.9291469772481409 - 2.212694252855018 - 2.050973741770387 - 1.5321456650234568 - 0.8091415894745241 - 0.06237318870893602 - -0.5424691096925387 - -0.8916316348319654 - -0.9468505322048164 - -0.7498397000685569 - -0.4068913297662358 - -0.057582035331625994 - 0.1645212369301848 - 0.1692290738791439 - -0.0643905425538858 - -0.4804574295333615 - -0.9594103388688217 - -1.3490076595515041 - -1.5057546237103527 - -1.336393984400205 - -0.8286607831683369 - -0.06274498519137635 - 0.8006247324448525 - 1.5538821078037075 - 1.9909741446601124 - 1.9591937624771083 - 1.4018567169717928 - 0.3807495491505777 - -0.9283770673869242 - -2.267803358813851 - -3.351247489761255 - -3.9271647141726787 - -3.8375067501437803 - -3.057934116120454 - -1.7092644410411542 - -0.03631317351609116 - 1.6421938615115155 - 3.002044110062917 - 3.785076046375086 - 3.8574373963525734 - 3.2408378849033253 - 2.109046648194166 - 0.7498288055641367 - -0.49941884513151913 - -1.3278065614315344 - -1.5214004851013503 - -1.0116671387981422 - 0.1093752424296131 - 1.610837391966673 - 3.1763637308029504 - 4.476679029380168 - 5.2442028646903935 - 5.332249855401249 - 4.745124867441392 - 3.632500433973118 - 2.250103676145344 - 0.8968244039805892 - -0.15610228619578062 - -0.7265463998009921 - -0.758924667417828 - -0.3292447192290741 positive_zeros: - '2.81424796643085917373179591480629' - '4.48902131847679200972959817240351' - '5.96421444950631544619855469793208' - '6.88561681741852977204941565898113' - '8.124858924693991691456885917044895' - '9.543561004507738076124003324135163' - '10.03839262177207696451723304079796' - '11.14643826725540527981095538963184' - '12.74227192448554662189399901063351' - '13.77169446714086757888648909337922' prelabel: 2-138-23.3-c1-0 primitive: true rational: false root_analytic_conductor: 1.0497311788708907 root_angle: 0.5380919728766936 root_number: -0.11938403992350478 + 0.992848151033955*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.269045986438' prec: 47 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '2.81424796643085917373179591481' prec: 103 z2: __RealLiteral__: 0 data: '4.48902131847679200972959817240' prec: 103 z3: __RealLiteral__: 0 data: '5.96421444950631544619855469793' prec: 103 - - algebraic: true analytic_conductor: 1.1019355478936699 bad_primes: - 2 - 3 - 23 central_character: '23.3' conductor: 138 conductor_radical: 138 degree: 2 id: 9614040 index: 3 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/138/2/e/a/49/1 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: 2-138-23.3-c1-0-3 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: 2-138-23.3-c1-0 primitive: true rational: false root_analytic_conductor: 1.0497311788708907 root_angle: 0.2690459864383468 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '2.81424796643085917373179591481' prec: 103 - - Lhash: '3567483123837152619138444413267' Lhash_array: - '3567483123837152619138444413267' id: 9980070 label: 2-138-23.3-c1-0-3 type: CMF url: ModularForm/GL2/Q/holomorphic/138/2/e/a/49/1 label_cols: - label - label - label labels: - 2-138-23.3-c1-0-3 - 2-138-23.3-c1-0-3 - 2-138-23.3-c1-0-3 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-24T17:49:30.664841'