data: - - Lhash: '1467204333794034708641971509188' a10: - -1.4465004293622663 - -1.7051793183870074 a2: - 0.0 - -1.0 a3: - 0.0 - 2.625452505516817 a4: - -1.0 - 0.0 a5: - 1.7051793183870074 - -1.4465004293622663 a6: - 2.625452505516817 - 0.0 a7: - 0.0 - 1.832267089819811 a8: - 0.0 - 1.0 a9: - -3.8930008587245326 - 0.0 accuracy: 100 algebraic: true analytic_conductor: 2.9544648747873756 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0 - 1.0 - - 5 - - - 1.0 - 0 - - -1.7051793183870074 - 1.4465004293622663 - - 37 - - - 1.0 - 0 - - 0 - 1.0 bad_primes: - 2 - 5 - 37 central_character: '370.149' coefficient_field: CDF conductor: 370 conductor_radical: 370 conjugate: '2335180868392000241072631605969' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 1.0 - - - 1.0 - 0 - - 0 - -2.625452505516817 - - -3.0 - 0 - - - 1.0 - 0 - - -1.7051793183870074 - 1.4465004293622663 - - - 1.0 - 0 - - 0 - -1.832267089819811 - - -7.0 - 0 - - - 1.0 - 0 - - -4.190171242128913 - 0 - - 11.0 - 0 - - - 1.0 - 0 - - 0 - 0.36945396858088286 - - -13.0 - 0 - - - 1.0 - 0 - - 0 - -5.083172100853445 - - -17.0 - 0 - - - 1.0 - 0 - - 3.5596252107097954 - 0 - - 19.0 - 0 - - - 1.0 - 0 - - 0 - -5.620358979614517 - - -23.0 - 0 - - - 1.0 - 0 - - 1.2068145843029938 - 0 - - 29.0 - 0 - - - 1.0 - 0 - - -10.103001201565036 - 0 - - 31.0 - 0 - - - 1.0 - 0 - - 0 - 1.0 - - - 1.0 - 0 - - 8.014468396533976 - 0 - - 41.0 - 0 - - - 1.0 - 0 - - 0 - 2.2726418791100156 - - -43.0 - 0 - - - 1.0 - 0 - - 0 - 10.915439190673256 - - -47.0 - 0 - - - 1.0 - 0 - - 0 - 9.943547575824654 - - -53.0 - 0 - - - 1.0 - 0 - - -5.345626928158861 - 0 - - 59.0 - 0 - - - 1.0 - 0 - - 9.794281001888873 - 0 - - 61.0 - 0 - - - 1.0 - 0 - - 0 - 1.8507334260642194 - - -67.0 - 0 - - - 1.0 - 0 - - -2.860375474971209 - 0 - - 71.0 - 0 - - - 1.0 - 0 - - 0 - 8.099421320708002 - - -73.0 - 0 - - - 1.0 - 0 - - 6.06361017841717 - 0 - - 79.0 - 0 - - - 1.0 - 0 - - 0 - 8.931997759552873 - - -83.0 - 0 - - - 1.0 - 0 - - 11.477281517772903 - 0 - - 89.0 - 0 - - - 1.0 - 0 - - 0 - 6.05864359655908 - - -97.0 - 0 - - - 1.0 - 0 - - -4.9652844439010355 - 0 - - 101.0 - 0 - - - 1.0 - 0 - - 0 - 7.333375648014737 - - -103.0 - 0 - - - 1.0 - 0 - - 0 - -8.211823336910829 - - -107.0 - 0 - - - 1.0 - 0 - - -20.550266566821747 - 0 - - 109.0 - 0 - - - 1.0 - 0 - - 0 - 0.6529843633678407 - - -113.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 10078227 index: 6 label: 2-370-5.4-c1-0-6 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/370/2/b/d/149/5 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 1.467497735554801 - 1.3883810364634626 - 1.3049379935289656 - 1.2109827198003933 - 1.0991339354094525 - 0.962047644440781 - 0.7935707538168828 - 0.5897337857878313 - 0.34957086737653226 - 0.07576905876882367 - -0.22487148859664097 - -0.5412126203520479 - -0.8578525314842805 - -1.1555654196918377 - -1.4121577855473881 - -1.6037628268703923 - -1.7065519187998395 - -1.6987908638567926 - -1.5631133646081732 - -1.2888311792824134 - -0.8740567926706645 - -0.3273876661370555 - 0.3311017735684307 - 1.0697878131007574 - 1.8465135820472534 - 2.6107723548322164 - 3.3070202918429072 - 3.878947606368003 - 4.2744007551260905 - 4.450525562469976 - 4.378610374726441 - 4.048066651374444 - 3.4690055464827996 - 2.672960580941502 - 1.7114676597695062 - 0.6524339108430397 - -0.42551436086508315 - -1.4402460358852966 - -2.3142005680905773 - -2.9824426201776757 - -3.399729134803987 - -3.545656693251897 - -3.4271216410901744 - -3.077612682305509 - -2.553238978475184 - -1.9258319437256899 - -1.273888111187504 - -0.6724794979864032 - -0.18348546534990934 - 0.1524523012167521 - 0.321008534217537 - 0.3354050159011801 - 0.23343958843457757 - 0.07058861522907962 - -0.0899036659841928 - -0.1884894532549139 - -0.18052045884857207 - -0.04528722918025692 - 0.2087868525772798 - 0.5439557957131989 - 0.8983590373192131 - 1.1961196648605814 - 1.3609297632145219 - 1.3309856744634487 - 1.0727068198546188 - 0.590652780259473 - -0.068511725536227 - -0.8192977545792267 - -1.5480452187207963 - -2.129773506410407 - -2.4488401901955053 - -2.4201154645076772 - -2.0069808291651237 - -1.2326844172493627 - -0.18244972616905963 - 1.004858289240634 - 2.1549617297827144 - 3.0839504622928717 - 3.627749487205846 - 3.6704553966605937 - 3.166563591683396 - 2.15283052040307 - 0.747056737631071 - -0.866784985010127 - -2.4652676626508203 - -3.8200577233736936 - -4.734665621766463 - -5.0770974726993225 - -4.80254825733819 - -3.9618198393510244 - -2.693560825480259 - -1.2012999857863385 - 0.2809426093582214 - 1.5284728184865861 - 2.3640191179776004 - 2.6871282852849685 - 2.4893923936969387 - 1.8526515330666178 - 0.9305520330813691 - -0.08292404277618629 - -0.9917552423135156 - -1.6354058271853082 - -1.9181020305254437 - -1.8240347958262635 - -1.4155511354508077 - -0.8149464763258814 - -0.17395155700131582 - 0.36232533768730163 - 0.6889842007965106 - 0.7648998785684196 - 0.6208653329833582 - 0.3503036424022035 - 0.0844753071859638 - -0.04228188288623312 - 0.07071973453069841 - 0.4605393538086534 - 1.084835906605504 - 1.824737112173915 - 2.50661843236187 - 2.9386639739272984 - 2.95445533780791 - 2.4538478669026595 - 1.4315740842891342 - -0.01359031163495875 - -1.692115506319234 - -3.357471716169473 - -4.753619006632158 - -5.666144177920155 - -5.965810321590728 - -5.6346977391356585 - -4.76884239974079 - -3.5565193056126203 - -2.2368845942220332 - -1.0482749014219501 - -0.17794936610307727 - 0.27519969696307794 - 0.31645280585820745 - 0.04617263025374563 - -0.37159824141099296 - -0.7548195779956636 - -0.9518473121091182 - -0.8802672262452044 - -0.5462724877405652 - -0.03962171744906629 - 0.4944817653352862 - 0.8991490203681015 - 1.0534458889126939 - 0.9108041546348096 - 0.5171625806282674 - 0.00288138541874483 - -0.4506373062284986 - -0.6617318409286157 - -0.5035800474847195 - 0.051443093961417274 - 0.9112683468281225 - 1.87506798075246 - 2.675304388837299 - 3.0422761094718056 - 2.7759969527430144 - 1.8072489733591266 - 0.23118586203373268 - -1.6972192508471462 - -3.607580506895037 - -5.090117120655584 - -5.786659915894416 - -5.475420185043706 - -4.128804499217989 - -1.9292671142504438 - 0.7621460756561607 - 3.4785921196330647 - 5.7454258111659975 - 7.180830327583608 - 7.575546425792219 - 6.933001599882212 - 5.460668121266624 - 3.5153471899175965 - 1.516296869024146 - -0.15216749477161823 - -1.224753008116011 - -1.6059456635654903 - -1.3763353099294764 - -0.7550060510456141 - -0.029743137340655746 - 0.5252548551188059 - 0.7219200369557228 - 0.5023273954277956 - -0.05618164397159348 - -0.7740858775907734 - -1.4297446894650803 - -1.828045135979161 - -1.8574650202370835 - -1.5193968240194597 - -0.9221705817099701 - -0.24285117864639044 - 0.33055519313561543 - 0.6581791690850001 - 0.6902348219242816 - 0.4789052427353704 - 0.15668592360666886 - -0.11172775655709177 - -0.18845735081973708 - -0.013087708567627114 - 0.37206360947119327 - 0.8313549773575688 - 1.1783055462586194 - 1.2387478741861773 - 0.9149082587330973 - 0.22925185413658536 - -0.6678742212038815 - -1.5322505991046247 - -2.0940578023436753 - -2.1417028561344407 - -1.596266133114145 - -0.5526873657153951 - 0.7277762273847939 - 1.8756585053742694 - 2.5087837846005003 - 2.340011444724367 - 1.2668849781472062 - -0.5836975641950711 - -2.8711776515645995 - -5.1162691633181385 - -6.817108593001508 - -7.576240504845527 - -7.203988680956624 - -5.769431375666111 - -3.5842287830343915 - -1.1230765461792764 - 1.0976987528054027 - 2.650090874533722 - 3.297263349818066 - 3.0415495628515736 - 2.1057614941980325 - 0.8552418123038464 - -0.3149396677696803 - -1.0936255408485995 - -1.3346217789527377 - -1.0823453043872577 - -0.5366409506206002 - 0.02981323732452655 - 0.37358090974367286 - 0.36839906788781934 - 0.05025180505451575 - -0.39512767898976875 - -0.6983135441064166 - -0.6042285997441414 - 0.03020594410274839 - 1.1717079017836827 - 2.6023728492110876 - 3.9726881584341642 - 4.901291734031008 - 5.091422866268521 - 4.427704488556086 - 3.0219984965726154 - 1.1922021296944032 - -0.6215894637247809 - -1.9795382588699746 positive_zeros: - '1.15742013890095378258044901024158' - '2.68946954117892575433683834986197' - '4.45030878689047533762249394041597' - '6.06058979012472761341266422192965' - '6.67693257951949566975457504480970' - '7.15177947766005251355371343764682' - '8.238062434702185586076647911974090' - '9.269728557592769380594043836003475' - '10.30885637107653620888659353484508' - '11.47529982634392767198273018490140' prelabel: 2-370-5.4-c1-0 primitive: true rational: false root_analytic_conductor: 1.7188556875978203 root_angle: -0.22393266385139401 root_number: 0.7625793739480211 - 0.646894657907332*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.111966331926' prec: 50 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '1.15742013890095378258044901024' prec: 103 z2: __RealLiteral__: 0 data: '2.68946954117892575433683834986' prec: 103 z3: __RealLiteral__: 0 data: '4.45030878689047533762249394042' prec: 103 - - algebraic: true analytic_conductor: 2.9544648747873756 bad_primes: - 2 - 5 - 37 central_character: '5.4' conductor: 370 conductor_radical: 370 degree: 2 id: 10078227 index: 6 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/370/2/b/d/149/5 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: 2-370-5.4-c1-0-6 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: 2-370-5.4-c1-0 primitive: true rational: false root_analytic_conductor: 1.7188556875978203 root_angle: -0.11196633192569701 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '1.15742013890095378258044901024' prec: 103 - - Lhash: '1467204333794034708641971509188' Lhash_array: - '1467204333794034708641971509188' id: 10444283 label: 2-370-5.4-c1-0-6 type: CMF url: ModularForm/GL2/Q/holomorphic/370/2/b/d/149/5 label_cols: - label - label - label labels: - 2-370-5.4-c1-0-6 - 2-370-5.4-c1-0-6 - 2-370-5.4-c1-0-6 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-03-29T00:42:22.437183'