data: - - Lhash: '2063880833133788496470808443632' a10: - 0.0 - 0.0 a2: - 2.1773064493969643 - 1.2570684646676455 a3: - -1.191544743238007 - 1.2570684646676455 a4: - 2.160442249723743 - 3.7419957433399316 a5: - 0.0 - 0.0 a6: - -4.174579179059034 - 1.2391699544893988 a7: - -0.44525564182808686 - -0.25706846466764555 a8: - 0.0 - 5.8350214287827775 a9: - -0.16044224972374319 - -2.995706641930011 accuracy: 100 algebraic: true analytic_conductor: 1.7966340454788094 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 3 - - - 1.0 - 0 - - 1.191544743238007 - -1.2570684646676455 - - 5 - - - 1.0 - 0 - - 0 - 0 bad_primes: - 3 - 5 central_character: '225.124' coefficient_field: CDF conductor: 225 conductor_radical: 15 conjugate: '4181401118037718222050895820685' degree: 2 euler_factors: - - - 1.0 - 0 - - -2.1773064493969643 - -1.2570684646676455 - - 1.0 - 1.7320508075688772 - - - 1.0 - 0 - - 1.191544743238007 - -1.2570684646676455 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0.44525564182808686 - 0.25706846466764555 - - 3.5 - 6.06217782649107 - - - 1.0 - 0 - - -1.6604422497237432 - 2.8759703395554927 - - -5.5 - -9.526279441628825 - - - 1.0 - 0 - - 1.1439195319866156 - -0.6604422497237432 - - 6.5 - -11.258330249197702 - - - 1.0 - 0 - - 0 - -3.3208844994474864 - - -17.0 - 0 - - - 1.0 - 0 - - -1.3208844994474864 - 0 - - 19.0 - 0 - - - 1.0 - 0 - - -3.5746342297140217 - 2.063816034779841 - - 11.5 - -19.91858428704209 - - - 1.0 - 0 - - 0.6932524298878047 - -1.2007484310362586 - - -14.5 - -25.11473670974872 - - - 1.0 - 0 - - 4.3678316089468385 - 7.565306265601241 - - -15.5 - 26.846787517317598 - - - 1.0 - 0 - - 0 - 0.29261064077690424 - - -37.0 - 0 - - - 1.0 - 0 - - -5.674579179059034 - -9.828659449702737 - - -20.5 - 35.50704155516198 - - - 1.0 - 0 - - 8.962634045918298 - 5.174579179059034 - - 21.5 - 37.239092362730865 - - - 1.0 - 0 - - 4.211737265039753 - 2.43164764372668 - - 23.5 - 40.703193977868615 - - - 1.0 - 0 - - 0 - 5.028273858670582 - - -53.0 - 0 - - - 1.0 - 0 - - 2.514136929335291 - 4.3546128987939285 - - -29.5 - 51.09549882328188 - - - 1.0 - 0 - - 3.6745791790590343 - -6.364557834564982 - - -30.5 - -52.827549630850754 - - - 1.0 - 0 - - 8.182655376838392 - -4.724258284503584 - - 33.5 - -58.023702053557386 - - - 1.0 - 0 - - -8.99092735701304 - 0 - - 71.0 - 0 - - - 1.0 - 0 - - 0 - -6.056547717341164 - - -73.0 - 0 - - - 1.0 - 0 - - 4.028273858670582 - -6.9771749900189795 - - -39.5 - -68.41600689897065 - - - 1.0 - 0 - - 1.3357669254842606 - 0.7712053940029366 - - 41.5 - 71.88010851410841 - - - 1.0 - 0 - - -3.0 - 0 - - 89.0 - 0 - - - 1.0 - 0 - - 10.613370074565797 - 6.127632069559682 - - 48.5 - 84.00446416709055 - - - 1.0 - 0 - - 5.8350214287827775 - -10.106553577904913 - - -50.5 - -87.4685657822283 - - - 1.0 - 0 - - -0.2534082483304418 - 0.14630532038845212 - - 51.5 - -89.20061658979718 - - - 1.0 - 0 - - 0 - 1.8723679304403182 - - -107.0 - 0 - - - 1.0 - 0 - - 5.547874779896268 - 0 - - 109.0 - 0 - - - 1.0 - 0 - - -6.756109760866446 - 3.9006417891109004 - - 56.5 - -97.86087062764156 gamma_factors: - [] - - 0 group: GL2 id: 9698325 index: 5 label: 2-15e2-45.34-c1-0-5 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/225/2/k/b/124/6 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 2.188122665666272 - 2.052438502672968 - 1.936514771494853 - 1.8315462079039628 - 1.7282099030678522 - 1.6176545950799002 - 1.4922742961090516 - 1.3462520589812241 - 1.175927498430888 - 0.9800462171658372 - 0.759921294057364 - 0.5195053562162898 - 0.265350180208604 - 0.0064219406607425086 - -0.24625758402542447 - -0.4801628377002414 - -0.6820113146375546 - -0.8386859509651797 - -0.9382898161387235 - -0.9712658639233567 - -0.9314929892928697 - -0.8172534658680641 - -0.631958913129027 - -0.38452486448174444 - -0.08929968113947097 - 0.23451721027686284 - 0.5639906320813767 - 0.8740686823631058 - 1.1396164739633357 - 1.3377157406175506 - 1.4500279510664675 - 1.4649790155327578 - 1.3795054529122628 - 1.2001111413277776 - 0.9430243265751322 - 0.6333169807813784 - 0.30294948737584465 - -0.012174702241768044 - -0.27592909162457374 - -0.4561187708065144 - -0.5286277128250633 - -0.4810545589961141 - -0.3153245558933233 - -0.048820920571036056 - 0.2862988682084175 - 0.6457531226722142 - 0.9776740469343886 - 1.228702935933888 - 1.3510657788025688 - 1.3098474237538777 - 1.0895511719666757 - 0.699001380238806 - 0.1737376631518787 - -0.42473500223033844 - -1.0131477152275372 - -1.4940167011647065 - -1.765986475080013 - -1.7359821263042934 - -1.3318333863137555 - -0.5138177751563208 - 0.7164624293523058 - 2.3112786754835786 - 4.17707548481823 - 6.180334461677153 - 8.158786179379318 - 9.937035764214427 - 11.345009964585984 - 12.23713239852656 - 12.509874246480143 - 12.115367868112745 - 11.06913053307267 - 9.45059969342647 - 7.396059658357947 - 5.084532903096128 - 2.7181824868123554 - 0.4995826900240139 - -1.3912656059126212 - -2.817163837168671 - -3.698470127934843 - -4.020357894357097 - -3.831575713449484 - -3.234904627322216 - -2.370713151184754 - -1.3960331958022922 - -0.46225521393763175 - 0.30525061870182235 - 0.8225868419571183 - 1.0556417554317117 - 1.02020287205322 - 0.7741474499990487 - 0.4032878469889607 - 0.0034925813889938487 - -0.33769653585003034 - -0.5566897270445242 - -0.6239925863879927 - -0.5471747776435385 - -0.36632164994089417 - -0.1430535111153535 - 0.05456352550180867 - 0.1680800707322366 - 0.16234970258657708 - 0.03393227813261223 - -0.18765533836538784 - -0.4462626201362383 - -0.6718377554042041 - -0.7969933350694496 - -0.7738905395964041 - -0.587676687576837 - -0.2632395855507363 - 0.1367135572839926 - 0.5224985001791768 - 0.7955458671006594 - 0.870370459366907 - 0.6959334403431687 - 0.27166380838471366 - -0.34586327214104357 - -1.047959930218959 - -1.6906734051318884 - -2.1210741179388055 - -2.208420052480187 - -1.8742066355762341 - -1.1148024293237657 - -0.011331608812202463 - 1.2764039384516552 - 2.5322134101268574 - 3.519027156720126 - 4.021753500683559 - 3.8896898490498613 - 3.070201574347311 - 1.6265095206137015 - -0.2649439456536301 - -2.338382952513206 - -4.280584692585115 - -5.783828329602072 - -6.600458374003762 - -6.58883849671192 - -5.7416748370208275 - -4.190723667074614 - -2.1862399403961352 - -0.0543534281944573 - 1.8600748272963326 - 3.2545579339597217 - 3.92250088323787 - 3.788864819832081 - 2.92107359321833 - 1.5130642585234075 - -0.15431752275932606 - -1.7686624262460944 - -3.0460222237429764 - -3.7836511640216983 - -3.895056805458659 - -3.4206663908912636 - -2.512519719154362 - -1.396821547940181 - -0.3227698165291388 - 0.4911665195730011 - 0.9020128942687689 - 0.8687531653103451 - 0.45532761983887904 - -0.18973162426160298 - -0.8717452298279186 - -1.3972001505619627 - -1.618925146600849 - -1.4688561213258886 - -0.9712013236998179 - -0.23351944887900114 - 0.581558561309081 - 1.2967295313738418 - 1.7625780738993522 - 1.8920251386023532 - 1.6785641347103837 - 1.1942974141364624 - 0.5688304965996187 - -0.04518854692254014 - -0.5108561936113684 - -0.740158318387964 - -0.7131048833953997 - -0.4782289014005052 - -0.13475801946007868 - 0.19837631805952013 - 0.41801725653001676 - 0.46685314193084243 - 0.34961740192588614 - 0.13071299362530636 - -0.0863119434882637 - -0.19185495125167554 - -0.10655717465738017 - 0.1898629977870726 - 0.6462899837906819 - 1.1492010635623529 - 1.5519085873326377 - 1.7170604346465734 - 1.5610152687954264 - 1.0871745299793862 - 0.3972941499246054 - -0.3250582186075676 - -0.8575409478982935 - -0.9997451241542913 - -0.6369805332074112 - 0.20984330660257777 - 1.3633511896203452 - 2.5069695966505114 - 3.2405658110255997 - 3.1649882100422744 - 1.977908490510611 - -0.44101756906278533 - -3.976940883541611 - -8.273867964286705 - -12.78121178802425 - -16.846158062765248 - -19.83416730373928 - -21.252580890175825 - -20.850511538377923 - -18.672610984046838 - -15.054064365627896 - -10.557079409783155 - -5.862212847284431 - -1.6380003598604609 - 1.5829095181467796 - 3.4947292671170236 - 4.058153413514839 - 3.4822823460825387 - 2.15585662751258 - 0.5461543551715501 - -0.909477235755706 - -1.894102532241049 - -2.264116943031577 - -2.055345791056306 - -1.4451682514439406 - -0.6842682547510714 - -0.018313418739036986 - 0.3790703416204358 - 0.44527172595362113 - 0.23167678974736625 - -0.12680752835555376 - -0.4639719137575829 - -0.6391381803530836 - -0.5812206823832551 - -0.3074066859711801 - 0.08787879346425229 - 0.46880107020202255 - 0.706327143007494 - 0.7228869400781158 - 0.518988330350527 - 0.17320136603190311 - -0.18451372496477456 - -0.4175815491897908 - -0.4311859531206329 - -0.20829098636945087 - 0.17907054580661155 - 0.5880325773156243 - 0.8481117569804609 - 0.8166387417797194 - 0.4291325853955898 - -0.2719073572523092 - -1.1403435936681006 - -1.9628644001305597 positive_zeros: - '1.62811490229421640849011235135925' - '3.03522782412027395945825485058026' - '4.61986432348577365201740140442475' - '5.39452331535609976057513701970381' - '6.53717557791273232173072697564147' - '7.43222280134873561125155052703417' - '9.405618151769269473504748739223522' - '10.57090812023035406549977799459920' - '11.37613911828228982628276329329468' - '12.21130399375844023985631068053431' prelabel: 2-15e2-45.34-c1-0 primitive: true rational: false root_analytic_conductor: 1.3403857823323886 root_angle: -0.6090596390263259 root_number: -0.335956866870931 - 0.9418773718495776*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.304529819513' prec: 50 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '1.62811490229421640849011235136' prec: 103 z2: __RealLiteral__: 0 data: '3.03522782412027395945825485058' prec: 103 z3: __RealLiteral__: 0 data: '4.61986432348577365201740140442' prec: 103 - - algebraic: true analytic_conductor: 1.7966340454788094 bad_primes: - 3 - 5 central_character: '45.34' conductor: 225 conductor_radical: 15 degree: 2 id: 9698325 index: 5 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/225/2/k/b/124/6 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: 2-15e2-45.34-c1-0-5 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: 2-15e2-45.34-c1-0 primitive: true rational: false root_analytic_conductor: 1.3403857823323886 root_angle: -0.30452981951316294 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '1.62811490229421640849011235136' prec: 103 - - Lhash: '2063880833133788496470808443632' Lhash_array: - '2063880833133788496470808443632' id: 10064376 label: 2-15e2-45.34-c1-0-5 type: CMF url: ModularForm/GL2/Q/holomorphic/225/2/k/b/124/6 label_cols: - label - label - label labels: - 2-15e2-45.34-c1-0-5 - 2-15e2-45.34-c1-0-5 - 2-15e2-45.34-c1-0-5 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-19T03:45:47.120844'