data: - - Lhash: '1309853604992411712126388348049' a10: - 1.3771259613472022 - -2.846668945729999 a2: - -1.3098556537382124 - -0.5331774248503404 a3: - -1.5983443223166098 - -0.6673045986041588 a4: - 1.4314436672599193 - 1.3967709287715981 a5: - -0.14302830424727483 - 2.231488943325543 a6: - 1.7378085997322275 - 1.7262738110440983 a7: - 0.5827719754125508 - 0.5827719754125508 a8: - -1.130257853659907 - -2.592781746356623 a9: - 2.1094091453634847 - 2.133165032869443 accuracy: 100 algebraic: true analytic_conductor: 0.9582048242553651 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 1.3098556537382124 - 0.5331774248503404 - - 3 - - - 1.0 - 0 - - 1.5983443223166098 - 0.6673045986041588 - - 5 - - - 1.0 - 0 - - 0.14302830424727483 - -2.231488943325543 bad_primes: - 2 - 3 - 5 central_character: '120.77' coefficient_field: CDF conductor: 120 conductor_radical: 30 conjugate: '2334590312210424779687207079932' degree: 2 euler_factors: - - - 1.0 - 0 - - 1.3098556537382124 - 0.5331774248503404 - - - 1.0 - 0 - - 1.5983443223166098 - 0.6673045986041588 - - - 1.0 - 0 - - 0.14302830424727483 - -2.231488943325543 - - - 1.0 - 0 - - -0.5827719754125508 - -0.5827719754125508 - - 0 - 7.0 - - - 1.0 - 0 - - -3.6860661571771054 - 0 - - 11.0 - 0 - - - 1.0 - 0 - - -3.8877108311821114 - -3.8877108311821114 - - 0 - 13.0 - - - 1.0 - 0 - - 0.8801046107667064 - -0.8801046107667064 - - 0 - -17.0 - - - 1.0 - 0 - - 6.329185095089742 - 0 - - 19.0 - 0 - - - 1.0 - 0 - - -2.0662567603619517 - -2.0662567603619517 - - 0 - 23.0 - - - 1.0 - 0 - - 0 - -1.3712243264454707 - - -29.0 - 0 - - - 1.0 - 0 - - -3.3207536493475067 - 0 - - 31.0 - 0 - - - 1.0 - 0 - - -2.4414742639076312 - 2.4414742639076312 - - 0 - -37.0 - - - 1.0 - 0 - - 0 - 0.6481038463579313 - - -41.0 - 0 - - - 1.0 - 0 - - -0.8194123536462884 - -0.8194123536462884 - - 0 - 43.0 - - - 1.0 - 0 - - 6.2850750510889215 - -6.2850750510889215 - - 0 - -47.0 - - - 1.0 - 0 - - -5.607821021443191 - 5.607821021443191 - - 0 - -53.0 - - - 1.0 - 0 - - 0 - 6.120258821591107 - - -59.0 - 0 - - - 1.0 - 0 - - 0 - 5.134708267891602 - - -61.0 - 0 - - - 1.0 - 0 - - -4.906362315393389 - 4.906362315393389 - - 0 - -67.0 - - - 1.0 - 0 - - 0 - 4.132513520723903 - - -71.0 - 0 - - - 1.0 - 0 - - -4.698204082302874 - 4.698204082302874 - - 0 - -73.0 - - - 1.0 - 0 - - 0 - -1.1007861149137848 - - -79.0 - 0 - - - 1.0 - 0 - - 6.274386815829576 - -6.274386815829576 - - 0 - -83.0 - - - 1.0 - 0 - - -15.35615992888367 - 0 - - 89.0 - 0 - - - 1.0 - 0 - - 5.421539764261292 - 5.421539764261292 - - 0 - 97.0 - - - 1.0 - 0 - - 9.84441771644091 - 0 - - 101.0 - 0 - - - 1.0 - 0 - - 8.280976057715424 - -8.280976057715424 - - 0 - -103.0 - - - 1.0 - 0 - - -5.84677999367027 - -5.84677999367027 - - 0 - 107.0 - - - 1.0 - 0 - - 11.703309078155694 - 0 - - 109.0 - 0 - - - 1.0 - 0 - - 8.583332575859648 - 8.583332575859648 - - 0 - 113.0 gamma_factors: - [] - - 0 group: GL2 id: 9605465 index: 0 label: 2-120-120.77-c1-0-0 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/120/2/w/c/77/3 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 0.5653889519798774 - 0.5340020447779826 - 0.501102527682829 - 0.46333809755239325 - 0.4164991592463382 - 0.3558239119014274 - 0.27628170938295665 - 0.172825053804454 - 0.040626836584888255 - -0.1246741115580847 - -0.32670288897263333 - -0.5680490198590676 - -0.8499440053961498 - -1.1719316291026625 - -1.5315538931004913 - -1.9240807009353496 - -2.342314706184856 - -2.7765038946100056 - -3.2143931066046854 - -3.641441467958228 - -4.041225313607497 - -4.396035594437732 - -4.6876651642224365 - -4.898365301270732 - -5.011933239433104 - -5.014874633529942 - -4.897568339451219 - -4.655347436912743 - -4.2894019267617125 - -3.8074067579513784 - -3.223785240450048 - -2.5595334183574554 - -1.8415558273940384 - -1.1014965658637303 - -0.37409009469140536 - 0.3048990362709212 - 0.9010328690308979 - 1.3836966170532492 - 1.7285451134943302 - 1.9196885269476822 - 1.9514031823312452 - 1.829169718578375 - 1.5698784844084983 - 1.2011002959920094 - 0.7593964334338321 - 0.28772967833847013 - -0.16786917448072317 - -0.562136626791608 - -0.8545968751841527 - -1.0134004785655537 - -1.0185967111835963 - -0.8644754751037124 - -0.5606757091869099 - -0.1318569933816698 - 0.3841370587929868 - 0.9395420837600434 - 1.4811222858373163 - 1.9554172858256214 - 2.3142795320395173 - 2.520123033565715 - 2.550291308086048 - 2.400006536217603 - 2.0834832702730224 - 1.6329707663176296 - 1.0957120472667123 - 0.5290520373280044 - -0.005836537067312033 - -0.4509422907397032 - -0.7583197876736621 - -0.8960663888313201 - -0.8525866926241668 - -0.638522269019141 - -0.2859786566691959 - 0.1549972991583632 - 0.6223850639416961 - 1.0499599583133277 - 1.3759427097411907 - 1.5514300071763312 - 1.547464196855514 - 1.3597086278072232 - 1.0099524617971742 - 0.5440518666329287 - 0.02638067550332279 - -0.4686453532953791 - -0.8669574075124478 - -1.105781853544989 - -1.1436192489069796 - -0.9677547158866183 - -0.598045662683158 - -0.08617659872851263 - 0.48983522330336937 - 1.0354293991350936 - 1.4524780958584105 - 1.6537952419429724 - 1.5771825585931083 - 1.1969370878692032 - 0.5309630253687319 - -0.3578642281730867 - -1.3666951669415235 - -2.3637976906076146 - -3.2045749808814694 - -3.7505513532453296 - -3.8888132192739375 - -3.5491717963072764 - -2.716482014065424 - -1.4361073090978786 - 0.18859714298139385 - 2.006813238143009 - 3.8376733725705328 - 5.492383803032958 - 6.798110994400961 - 7.620317691821332 - 7.88035000524511 - 7.565676060597434 - 6.7311889387354515 - 5.491271560892781 - 4.003689311221001 - 2.44761650603373 - 0.9990159924537438 - -0.19297746871361052 - -1.0251524069273477 - -1.4519679427358716 - -1.4882779686579666 - -1.2027912047650673 - -0.7035133576625147 - -0.11771197667682333 - 0.4301745601556162 - 0.8389518425638939 - 1.0459986751435537 - 1.0350129645048152 - 0.8350280701599004 - 0.5111149582810994 - 0.1486830114651817 - -0.16554426732618574 - -0.36219073183349537 - -0.4039019366930659 - -0.2931504801137661 - -0.07159001464648151 - 0.18899711892478632 - 0.40245715662958886 - 0.48765441253266717 - 0.3876065876298055 - 0.08439940944571916 - -0.39338936690863646 - -0.9726582275519976 - -1.5472428082608383 - -1.9970689514830524 - -2.2115647962506224 - -2.1128671531311696 - -1.6741581074601928 - -0.9291806422331226 - 0.029487769100465605 - 1.0637370207790058 - 2.012872385074211 - 2.7222777806724094 - 3.0725300799858752 - 3.00333168327157 - 2.5273465620504845 - 1.7307434705427474 - 0.7596815628440113 - -0.20532424122810422 - -0.9827660017009624 - -1.4251285872204988 - -1.448794797529673 - -1.0528513895445901 - -0.322671475218878 - 0.5830670792683708 - 1.4601019276472984 - 2.0962795773979694 - 2.3123299346136936 - 1.997970152957489 - 1.1362113764023338 - -0.1892140926013863 - -1.8052772871210625 - -3.4783017765502704 - -4.954819230267931 - -6.007108499688755 - -6.474802334300278 - -6.294522677152 - -5.511682916148194 - -4.271979664747361 - -2.7940388513497276 - -1.3284017964023314 - -0.11078210933764306 - 0.6812805141299157 - 0.9598689632907049 - 0.7400888272599162 - 0.13288934507127922 - -0.6810590392985381 - -1.4909342009072788 - -2.1005314356712317 - -2.368928358905376 - -2.2386199614960107 - -1.7453463902134398 - -1.007712799702209 - -0.19899537449475482 - 0.4926710787627883 - 0.907039040671414 - 0.9481120573493488 - 0.6061913567281058 - -0.03921996692781636 - -0.8363042424299434 - -1.593918834763047 - -2.123450173889529 - -2.280323935808684 - -1.9960201096641819 - -1.29352951318168 - -0.28285702664227697 - 0.8623832859379678 - 1.9420176602927761 - 2.7717005684871214 - 3.2211661443417783 - 3.2398518675129573 - 2.864328149980331 - 2.2061725033897255 - 1.4234468420876685 - 0.6827204717394447 - 0.12073694909551032 - -0.1851717913480848 - -0.23098735600151335 - -0.08113039356288304 - 0.15366497134545418 - 0.34991808639709193 - 0.40769933961215377 - 0.28016820313878604 - -0.011555860792023767 - -0.3824835295404186 - -0.7062947713090431 - -0.8509764525332671 - -0.718544861898789 - -0.278315540544777 - 0.4157289662348614 - 1.2293742083043269 - 1.9750693950323988 - 2.4562218980258277 - 2.5190273127853073 - 2.0993228940464017 - 1.252226531782488 - 0.1556169977983858 - -0.9158081153994054 - -1.6423329928482286 - -1.7269220250260227 - -0.9644380891086235 - 0.7032862852545934 - 3.1598963011381174 - 6.122345488341315 - 9.184402714523094 - 11.888169300255107 - 13.809420451208315 - 14.639057941473933 - 14.243326617954112 - 12.689723523408118 - 10.232822059796538 - 7.26292905531073 - 4.22861726271553 - 1.5498589676983077 - -0.4595967277116479 positive_zeros: - '1.03329230054131953142505625593759' - '4.31734633457101120041564518951839' - '5.70261692967966253596328939723740' - '6.65857148542271416309567901989851' - '8.248539626621148496198586290185061' - '9.082824754313948646960085702721492' - '10.25636011620898010477701897720181' - '11.14412061025996702036605104309676' - '12.07755134781857731913954440932295' - '13.23644209696087993552627261175724' prelabel: 2-120-120.77-c1-0 primitive: true rational: false root_analytic_conductor: 0.9788793716568784 root_angle: -0.1607959078833974 root_number: 0.8750993561940678 - 0.483943299146427*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.0803979539417' prec: 54 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '1.03329230054131953142505625594' prec: 103 z2: __RealLiteral__: 0 data: '4.31734633457101120041564518952' prec: 103 z3: __RealLiteral__: 0 data: '5.70261692967966253596328939724' prec: 103 - - algebraic: true analytic_conductor: 0.9582048242553651 bad_primes: - 2 - 3 - 5 central_character: '120.77' conductor: 120 conductor_radical: 30 degree: 2 id: 9605465 index: 0 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/120/2/w/c/77/3 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: 2-120-120.77-c1-0-0 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: 2-120-120.77-c1-0 primitive: true rational: false root_analytic_conductor: 0.9788793716568784 root_angle: -0.0803979539416987 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '1.03329230054131953142505625594' prec: 103 - - Lhash: '1309853604992411712126388348049' Lhash_array: - '1309853604992411712126388348049' id: 9971498 label: 2-120-120.77-c1-0-0 type: CMF url: ModularForm/GL2/Q/holomorphic/120/2/w/c/77/3 label_cols: - label - label - label labels: - 2-120-120.77-c1-0-0 - 2-120-120.77-c1-0-0 - 2-120-120.77-c1-0-0 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-24T15:08:44.470313'