data: - - Lhash: '2793518406109154635276786514864' a10: - 0.0 - 0.0 a2: - 0.0 - 0.0 a3: - 19.524174696260022 - 0.0 a4: - 0.0 - 0.0 a5: - 0.0 - 0.0 a6: - 0.0 - 0.0 a7: - -35.048349392520045 - 0.0 a8: - 0.0 - 0.0 a9: - 138.19339757008018 - 0.0 accuracy: 100 algebraic: true analytic_conductor: 32.07676396259613 analytic_normalization: __RealLiteral__: 0 data: '2.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0 - 0 - - 5 - - - 1.0 - 0 - - 0 - 0 bad_primes: - 2 - 5 central_character: '200.1' coefficient_field: CDF conductor: 200 conductor_radical: 10 degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - -19.524174696260022 - 0 - - 243.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 35.048349392520045 - 0 - - 16807.0 - 0 - - - 1.0 - 0 - - 426.0076686214605 - 0 - - 161051.0 - 0 - - - 1.0 - 0 - - 1103.2570842055213 - 0 - - 371293.0 - 0 - - - 1.0 - 0 - - 109.38679514016037 - 0 - - 1419857.0 - 0 - - - 1.0 - 0 - - -495.9263070793414 - 0 - - 2476099.0 - 0 - - - 1.0 - 0 - - 2497.369120233482 - 0 - - 6436343.0 - 0 - - - 1.0 - 0 - - 42.42214495351649 - 0 - - 20511149.0 - 0 - - - 1.0 - 0 - - 7999.557842476049 - 0 - - 28629151.0 - 0 - - - 1.0 - 0 - - -13763.70055298985 - 0 - - 69343957.0 - 0 - - - 1.0 - 0 - - -11863.627515699382 - 0 - - 115856201.0 - 0 - - - 1.0 - 0 - - -16816.011973175784 - 0 - - 147008443.0 - 0 - - - 1.0 - 0 - - -13036.0 - 0 - - 229345007.0 - 0 - - - 1.0 - 0 - - 17817.297109346393 - 0 - - 418195493.0 - 0 - - - 1.0 - 0 - - 47346.05667364417 - 0 - - 714924299.0 - 0 - - - 1.0 - 0 - - 22782.93631336456 - 0 - - 844596301.0 - 0 - - - 1.0 - 0 - - -39418.308426891985 - 0 - - 1350125107.0 - 0 - - - 1.0 - 0 - - 1616.316095513448 - 0 - - 1804229351.0 - 0 - - - 1.0 - 0 - - 53293.259421869276 - 0 - - 2073071593.0 - 0 - - - 1.0 - 0 - - 6516.977080051807 - 0 - - 3077056399.0 - 0 - - - 1.0 - 0 - - 46016.35500833475 - 0 - - 3939040643.0 - 0 - - - 1.0 - 0 - - -113488.45367401036 - 0 - - 5584059449.0 - 0 - - - 1.0 - 0 - - 107417.86384578809 - 0 - - 8587340257.0 - 0 - - - 1.0 - 0 - - 197554.01311260377 - 0 - - 10510100501.0 - 0 - - - 1.0 - 0 - - -81026.02337663757 - 0 - - 11592740743.0 - 0 - - - 1.0 - 0 - - -137442.36230618303 - 0 - - 14025517307.0 - 0 - - - 1.0 - 0 - - 68693.08877241501 - 0 - - 15386239549.0 - 0 - - - 1.0 - 0 - - -139632.4688394209 - 0 - - 18424351793.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 20308330 index: 22 label: 2-200-1.1-c5-0-22 load_key: CMFs-workshop motivic_weight: 5 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 5 order_of_vanishing: 1 origin: ModularForm/GL2/Q/holomorphic/200/6/a/f/1/2 plot_delta: __RealLiteral__: 0 data: '0.0625' prec: 20 plot_values: - -2.459428010693754e-60 - 0.2776878659005555 - 0.5528722898371927 - 0.8230697778641275 - 1.0858367930096704 - 1.3387898778403122 - 1.5796259270128656 - 1.8061426223654602 - 2.0162590124432778 - 2.208036181800849 - 2.379697914090136 - 2.5296512081236338 - 2.656506459229135 - 2.7590970708368068 - 2.8364982149913915 - 2.8880444170435062 - 2.913345600839267 - 2.9123011979701854 - 2.8851118996805667 - 2.832288614376605 - 2.754658188725496 - 2.6533654572879217 - 2.52987120549743 - 2.385945664343287 - 2.2236572028047505 - 2.045355946084205 - 1.853652123807771 - 1.6513890420463344 - 1.4416106753058973 - 1.2275239881855113 - 1.0124562194330529 - 0.7998074914639747 - 0.5929992434714655 - 0.3954191231047266 - 0.2103631070511667 - 0.040975751174522956 - -0.10981040763475106 - -0.2393351669551304 - -0.34526946862349767 - -0.4256714082349117 - -0.4790381025598972 - -0.5043520536640644 - -0.5011206599440936 - -0.4694075691170174 - -0.40985464831445717 - -0.32369346297918694 - -0.21274530951304316 - -0.07940903590237107 - 0.07336389185850516 - 0.24210736460054047 - 0.42289165035821846 - 0.6113871591577572 - 0.8029403290426584 - 0.9926606785389601 - 1.1755177374519143 - 1.3464462415208531 - 1.5004576662196492 - 1.6327558903908834 - 1.7388545310477328 - 1.8146932859954623 - 1.8567504698743817 - 1.8621488400014523 - 1.8287517881105184 - 1.7552470285135606 - 1.6412150464258957 - 1.4871797844032557 - 1.294639340080136 - 1.0660748224176717 - 0.8049359617752111 - 0.515602584134725 - 0.20332163208186219 - -0.12587996734535864 - -0.46530563931907265 - -0.8077210904349141 - -1.1455055581257323 - -1.47081946944975 - -1.7757850015307637 - -2.052675500425381 - -2.294109260452392 - -2.4932428103362225 - -2.643958612466171 - -2.741041971376506 - -2.7803419784641425 - -2.758911499707771 - -2.6751215454450183 - -2.528745845399158 - -2.3210120827247573 - -2.0546170076171246 - -1.7337035389085154 - -1.3637989512655369 - -0.9517143119434557 - -0.505406446492731 - -0.033804846060825115 - 0.4533929537401462 - 0.9459529262512896 - 1.4333574639726478 - 1.9050732125322172 - 2.350826692806304 - 2.760880057967076 - 3.1262990253700687 - 3.4392049474791033 - 3.6930031554796297 - 3.882580130648329 - 4.00446273083858 - 4.056933613210894 - 4.040098131711326 - 3.955899322546004 - 3.8080790888360943 - 3.6020853153526318 - 3.344926338091959 - 3.0449759088962 - 2.7117334763952736 - 2.3555461936544106 - 1.9873005027346125 - 1.618092381881764 - 1.258886321559808 - 0.9201737766915015 - 0.6116421881737449 - 0.3418656508603471 - 0.11802791302727307 - -0.054312378351329085 - -0.17140541034754803 - -0.2314356197533655 - -0.23458328271728945 - -0.1830188100660237 - -0.08082851339284505 - 0.06612703858335316 - 0.250418557582687 - 0.46331159748678713 - 0.6950800452355026 - 0.9353594349299972 - 1.1735282637919136 - 1.3991041428668427 - 1.6021407027794035 - 1.7736107456729697 - 1.9057612230814527 - 1.992426242388843 - 2.02928545891367 - 2.0140568735838795 - 1.946615184567696 - 1.829029372606261 - 1.6655160537667508 - 1.4623082139059822 - 1.227442137710508 - 0.9704685442100539 - 0.7020970178081842 - 0.43378565656197493 - 0.17729032963412847 - -0.05581006514423044 - -0.2545945194775238 - -0.4092683933985203 - -0.511600744694132 - -0.5553124294243422 - -0.5363982510779172 - -0.4533684924832697 - -0.3073978647252229 - -0.10237316736733156 - 0.155165334885935 - 0.4561897836030411 - 0.7894546097794021 - 1.1418629824866207 - 1.4989183256332508 - 1.8452456807274278 - 2.165164455836261 - 2.4432914970269404 - 2.6651515747908547 - 2.8177713942431644 - 2.890233182683459 - 2.8741648142776666 - 2.7641452938010787 - 2.55800719471959 - 2.257021247452163 - 1.8659525804909225 - 1.3929829758536336 - 0.8494987287066043 - 0.24974909506568138 - -0.38961434625206315 - -1.050102023269502 - -1.7120344224361446 - -2.3552500140662884 - -2.959846203859331 - -3.506924492209664 - -3.979310193188519 - -4.362217442581304 - -4.643831826540793 - -4.815785754961372 - -4.873505600412559 - -4.816414488378696 - -4.647980276082844 - -4.375604474670528 - -4.010354401614433 - -3.566547424796658 - -3.0612024953310177 - -2.5133799839623676 - -1.9434358720027518 - -1.3722203655457734 - -0.8202538028784294 - -0.30691415969523134 - 0.15032956850236093 - 0.5366053436898681 - 0.8402176320726971 - 1.0530930594905823 - 1.1710722371699303 - 1.1940343142095553 - 1.1258480099304342 - 0.9741504696343342 - 0.7499629377458114 - 0.4671596083971939 - 0.14181275568711743 - -0.2085569549357805 - -0.5657914996786945 - -0.9119312858507492 - -1.2300376272826536 - -1.5049640834410747 - -1.7240408404537877 - -1.8776400054494102 - -1.9595949313442143 - -1.967453271289825 - -1.9025510964374168 - -1.7699037573688592 - -1.5779178469657478 - -1.3379372247781873 - -1.0636441786771267 - -0.7703440312473512 - -0.4741674819101603 - -0.1912293988162495 - 0.0632146070804645 - 0.2755718421858496 - 0.43463582798434447 - 0.5321920380570387 - 0.5634741609281825 - 0.5274459262380098 - 0.426891842050778 - 0.2683094800964619 - 0.06160577575517995 - -0.18039029391980432 - -0.44257681682866806 - -0.7083594277726367 - -0.9605255324760194 - -1.1821691542763364 - -1.3576198480614943 - -1.4733279577275997 - -1.5186597022863446 - -1.4865591548653343 - -1.3740400023363175 - -1.1824777995932685 - -0.917682913497872 - -0.5897450474375929 - -0.21265163668232753 - 0.1963060521631828 - 0.6173141775113873 - 1.0289698964025604 - 1.4093236614303284 - 1.7369801039221364 - 1.9922032137452585 - 2.157970029844544 - 2.2209183525580727 positive_zeros: - '2.20369745859482580075446935401243' - '2.97089029988153106957745387557094' - '4.41390048360393067481001438310985' - '5.75438696283865101615989628797790' - '7.47807726339863229060292843362355' - '7.84900020054086527388735682327960' - '9.234280630610671286140231521472466' - '9.776283672926727092686449226281233' - '10.96227984832216863275497415160612' prelabel: 2-200-1.1-c5-0 primitive: true rational: false root_analytic_conductor: 5.663635225064917 root_angle: 1.0 root_number: '-1' self_dual: true sign_arg: __RealLiteral__: 0 data: '0.5' prec: 10 spectral_label: c5-0 types: - CMF z1: __RealLiteral__: 0 data: '2.20369745859482580075446935401' prec: 103 z2: __RealLiteral__: 0 data: '2.97089029988153106957745387557' prec: 103 z3: __RealLiteral__: 0 data: '4.41390048360393067481001438311' prec: 103 - - algebraic: true analytic_conductor: 32.07676396259613 bad_primes: - 2 - 5 central_character: '1.1' conductor: 200 conductor_radical: 10 degree: 2 id: 20308330 index: 22 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/200/6/a/f/1/2 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: 2-200-1.1-c5-0-22 motivic_weight: 5 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 5 order_of_vanishing: 1 prelabel: 2-200-1.1-c5-0 primitive: true rational: false root_analytic_conductor: 5.663635225064917 root_angle: 0.5 self_dual: true spectral_label: c5-0 z1: __RealLiteral__: 0 data: '2.20369745859482580075446935401' prec: 103 - - Lhash: '2793518406109154635276786514864' Lhash_array: - '2793518406109154635276786514864' id: 20745587 label: 2-200-1.1-c5-0-22 type: CMF url: ModularForm/GL2/Q/holomorphic/200/6/a/f/1/2 label_cols: - label - label - label labels: - 2-200-1.1-c5-0-22 - 2-200-1.1-c5-0-22 - 2-200-1.1-c5-0-22 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-19T17:53:21.755390'