data: - - Lhash: '2277936542575446941645395313668' a10: - 0 - 0 a2: - 0 - 0 a3: - 40.5 - 23.382685902179844 a4: - 0 - 0 a5: - 632.5513663462845 - -365.2037016362929 a6: - 0 - 0 a7: - 984.436889745346 - -2189.9052513998204 a8: - 0 - 0 a9: - 1093.5 - 1893.9975580765674 accuracy: 100 algebraic: true analytic_conductor: 34.2198032451347 analytic_normalization: __RealLiteral__: 0 data: '4.0' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0 - 0 - - 3 - - - 1.0 - 0 - - -40.5 - -23.382685902179844 - - 7 - - - 1.0 - 0 - - -984.436889745346 - 2189.9052513998204 bad_primes: - 2 - 3 - 7 central_character: '84.73' coefficient_field: CDF conductor: 84 conductor_radical: 42 conjugate: '956247008827045914579727809603' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - -40.5 - -23.382685902179844 - - - 1.0 - 0 - - -632.5513663462845 - 365.2037016362929 - - 195312.5 - -338291.17335329636 - - - 1.0 - 0 - - -984.436889745346 - 2189.9052513998204 - - - 1.0 - 0 - - -6353.950328685792 - 11005.364798052758 - - -107179440.5 - -185640236.47280544 - - - 1.0 - 0 - - 0 - 21176.372203712795 - - -815730721.0 - 0 - - - 1.0 - 0 - - 82551.87226594238 - 47661.345674849435 - - 3487878720.5 - 6041183154.544328 - - - 1.0 - 0 - - 133336.30523871025 - -76981.75172231947 - - 8491781520.5 - -14708197040.280493 - - - 1.0 - 0 - - 47111.52075631246 - 81599.54757176893 - - -39155492640.5 - 67819302648.73526 - - - 1.0 - 0 - - -541663.9048436268 - 0 - - 500246412961.0 - 0 - - - 1.0 - 0 - - 185729.54946988425 - 107231.0053829056 - - 426445518720.5 - 738625305083.9708 - - - 1.0 - 0 - - 370376.03827101283 - 641510.1161914692 - - -1756239726960.5 - 3041896437366.4785 - - - 1.0 - 0 - - 0 - -782598.9209035889 - - -7984925229121.0 - 0 - - - 1.0 - 0 - - 221323.99771351457 - 0 - - 11688200277601.0 - 0 - - - 1.0 - 0 - - -7132303.449590473 - 4117837.3165631564 - - 11905643330880.5 - -20621179145878.59 - - - 1.0 - 0 - - -659082.9980648273 - 1141565.2390531008 - - -31129845205680.5 - -53918473527993.055 - - - 1.0 - 0 - - 7528650.148955969 - 4346668.190134245 - - 73415218802160.5 - 127158889014127.92 - - - 1.0 - 0 - - -13119228.205091624 - 7574389.93576978 - - 95853656498640.5 - -166023403146900.03 - - - 1.0 - 0 - - -19909965.616307378 - 34485072.024393775 - - -203033838778320.5 - -351664924419799.25 - - - 1.0 - 0 - - 9347132.961354066 - 0 - - 645753531245761.0 - 0 - - - 1.0 - 0 - - -29452007.36921926 - -17004124.382793583 - - 403230045947040.5 - 698414926718607.0 - - - 1.0 - 0 - - -22644993.486714244 - -39222279.25605537 - - -758554404953280.5 - 1313854769684258.8 - - - 1.0 - 0 - - 0 - -65889271.42929387 - - -2252292232139041.0 - 0 - - - 1.0 - 0 - - 10990157.313204963 - -6345170.283215219 - - 1968294402851040.5 - -3409185909991446.0 - - - 1.0 - 0 - - 0 - -6157797.976065877 - - -7837433594376961.0 - 0 - - - 1.0 - 0 - - -115329479.9662267 - -66585506.304000534 - - 5414283528140400.0 - 9377814157322450.0 - - - 1.0 - 0 - - -48192505.709980816 - 27823956.14458 - - 6333850406938080.0 - -10970550712357564 - - - 1.0 - 0 - - -7236667.024084869 - -12534274.96317326 - - -8590930899159600.0 - 14879928801657808 - - - 1.0 - 0 - - 90179311.11353816 - -156195148.6402088 - - -9962813208450960.0 - -17256098663355364 - - - 1.0 - 0 - - 22179069.73397639 - 0 - - 26584441929064320 - 0 gamma_factors: - [] - - 0 group: GL2 id: 23028448 index: 10 label: 2-84-7.3-c8-0-10 load_key: CMFs-workshop motivic_weight: 8 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 8 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/84/9/m/b/73/5 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 2.7643080198291856 - 3.053362254546017 - 3.2532512513881833 - 3.3563728042215932 - 3.3594917744450696 - 3.26391474224421 - 3.0754841888523226 - 2.804385655556867 - 2.4647661554232183 - 2.0741679042502508 - 1.6527882532109022 - 1.2225844857780874 - 0.8062506767331338 - 0.426102733749317 - 0.10291652945997783 - -0.14522797549504923 - -0.3040372819500258 - -0.3639661717847485 - -0.3209864996637015 - -0.17710164520329835 - 0.05944727905474293 - 0.3743252564273509 - 0.7476222548252298 - 1.1547512123054802 - 1.5677048232194928 - 1.9566244538802855 - 2.2916078058418443 - 2.5446569272760176 - 2.6916470793802754 - 2.714182064651613 - 2.6011950287437693 - 2.350157194109923 - 1.9677716132064549 - 1.4700551856664807 - 0.8817492527418055 - 0.23504539315572112 - -0.43233413958333977 - -1.079606290221784 - -1.6657984246337594 - -2.152824679497481 - -2.5085356188586707 - -2.7094900505266533 - -2.7431984853156544 - -2.60961059106535 - -2.3216645573934644 - -1.9047828820564412 - -1.3952828110038689 - -0.8377644611786961 - -0.2816376625721043 - 0.22295933869372622 - 0.6295195548850128 - 0.899423536145941 - 1.0056907346281514 - 0.9358421552755886 - 0.6935476016694729 - 0.2988253440324944 - -0.21331213238903754 - -0.7957255422111612 - -1.3933336046014684 - -1.9482720891917764 - -2.4055605266054068 - -2.7187258487906387 - -2.8547998604225353 - -2.7981348946006177 - -2.5525714133852855 - -2.1416380815141642 - -1.6066574796838928 - -1.0028513769549785 - -0.39376576829488896 - 0.1554575408288857 - 0.5852743507426241 - 0.8486134281252535 - 0.9166394132834983 - 0.7826885371032809 - 0.4638306360318825 - -0.00024549954777643504 - -0.5510309470201332 - -1.1173713741349873 - -1.623409925201374 - -1.9974448870639538 - -2.1806907353033784 - -2.1348863163317957 - -1.847775600684156 - -1.3356931111041188 - -0.6428003439247101 - 0.1630911237130406 - 0.9977539513186348 - 1.7700813310316894 - 2.392843320153845 - 2.793374400849837 - 2.9228503433098454 - 2.762929312912119 - 2.3288138500032654 - 1.66820946851029 - 0.8561646359614768 - -0.013686831186399129 - -0.8404666658458454 - -1.5285805940294033 - -1.9998266391114679 - -2.2034710975590115 - -2.1228944319207526 - -1.7778244571314665 - -1.2217426678527157 - -0.5346997406585378 - 0.18757909939162737 - 0.8468703921825931 - 1.3561136924777677 - 1.651633540059207 - 1.7021411522255028 - 1.513140902658712 - 1.1259888796024162 - 0.6116082920696333 - 0.05965403670550697 - -0.4353788296666425 - -0.7890991595398957 - -0.9409827316456736 - -0.8648169074420606 - -0.5741128732509923 - -0.12147260977673224 - 0.4082170865766383 - 0.9099489608054885 - 1.274446262535737 - 1.40539246214378 - 1.235425445810082 - 0.7383677092383899 - -0.06435361598243242 - -1.1043219274059575 - -2.2739603720315404 - -3.440637575806432 - -4.465098848738733 - -5.221526090893925 - -5.61618124143183 - -5.601708872792604 - -5.184762964999723 - -4.425604864498204 - -3.429550927273768 - -2.3314397103039943 - -1.2754324550823146 - -0.39326528960136165 - 0.21560660764899486 - 0.4987633194824511 - 0.4580273234299577 - 0.1478660980435062 - -0.3348384115453586 - -0.8680442049470356 - -1.3260126755785782 - -1.6014039703861316 - -1.6242513915480488 - -1.3745209877613904 - -0.8859972661239096 - -0.24068618149092527 - 0.44544568399637924 - 1.0430487203985725 - 1.4327786927703166 - 1.5274145173705524 - 1.2887512161252337 - 0.7361430827784504 - -0.05502179946575931 - -0.9648836353397324 - -1.8488834963034702 - -2.5624030171974272 - -2.985968514380932 - -3.0465058398880447 - -2.7307311695900363 - -2.088088375980082 - -1.2224772207051406 - -0.27403959787292287 - 0.6058808567462567 - 1.2821619373284685 - 1.6607166346438063 - 1.7060625638139488 - 1.4482368300494057 - 0.9775377640130611 - 0.4278021412444727 - -0.04891587122817514 - -0.31171518198299253 - -0.2588408448136009 - 0.15101130997765508 - 0.8882721957753025 - 1.8552151273219895 - 2.901649727937122 - 3.8509838720719882 - 4.53202257640129 - 4.810677412236794 - 4.615640307425843 - 3.9530828899001285 - 2.907413184730728 - 1.627701806022149 - 0.3020986335531271 - -0.8751206810426189 - -1.7377680895357033 - -2.1767863233523594 - -2.158609772889433 - -1.7293330063473322 - -1.0038924182106574 - -0.1423754712318146 - 0.6818962039898979 - 1.3162178465681353 - 1.6575789297175085 - 1.671178699929226 - 1.394686443988274 - 0.9274216926696744 - 0.4067051668911248 - -0.023708393805766708 - -0.24651141100092291 - -0.19807619332909557 - 0.11584491551558787 - 0.6195124346604077 - 1.1821306621307284 - 1.6454833922693486 - 1.8586796908879804 - 1.7127599662307365 - 1.167739018141694 - 0.2660462915269321 - -0.8709839550878232 - -2.0634478178254536 - -3.106363661924417 - -3.809779135504271 - -4.037371559233183 - -3.735500088874982 - -2.94643581917861 - -1.8026236750959679 - -0.5026939681717408 - 0.7262535283509325 - 1.6726273721129878 - 2.181678379250526 - 2.1856835746901835 - 1.7166675093012593 - 0.8989068452748212 - -0.07734146367982508 - -0.9954983551188346 - -1.657458398224897 - -1.9241353259425371 - -1.7432212398645173 - -1.1583118873960754 - -0.2975217169266296 - 0.6558758661151259 - 1.504348407137278 - 2.079580390292892 - 2.2789731044969646 - 2.087123726285156 - 1.5775367864292955 - 0.8942025761278669 - 0.2171827036031175 - -0.2800305014796772 - -0.4716912185497254 - -0.31006270437980205 - 0.1623067952636625 - 0.821349135537108 - 1.489563011503925 - 1.9772437391880595 - 2.1275528622311572 - 1.8550715878003892 - 1.1687813294181904 - 0.1738151946563837 - -0.9489103009142968 - -1.9810082480723328 positive_zeros: - '1.79697508301208897305381915795750' - '2.47245478673347349570379229668995' - '4.41907988757164802498274735896382' - '6.06741407199783422745234723761301' - '6.95067881729296740608667443334846' - '8.587335151113134437735436021385765' - '9.374940809925590389540347509284132' - '10.60049067273313692160854315427560' - '11.87302316422434469940346295753175' - '12.96715853477216538397288296419048' prelabel: 2-84-7.3-c8-0 primitive: true rational: false root_analytic_conductor: 5.849769503590266 root_angle: 0.4274626401795779 root_number: 0.22591560339849112 + 0.9741468781149462*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.21373132008978896' prec: 64 spectral_label: c8-0 types: - CMF z1: __RealLiteral__: 0 data: '1.79697508301208897305381915795750' prec: 113 z2: __RealLiteral__: 0 data: '2.47245478673347349570379229668995' prec: 113 z3: __RealLiteral__: 0 data: '4.41907988757164802498274735896382' prec: 113 - - algebraic: true analytic_conductor: 34.2198032451347 bad_primes: - 2 - 3 - 7 central_character: '7.3' conductor: 84 conductor_radical: 42 degree: 2 id: 23028448 index: 10 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/84/9/m/b/73/5 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: 2-84-7.3-c8-0-10 motivic_weight: 8 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 8 order_of_vanishing: 0 prelabel: 2-84-7.3-c8-0 primitive: true rational: false root_analytic_conductor: 5.849769503590266 root_angle: 0.21373132008978896 self_dual: false spectral_label: c8-0 z1: __RealLiteral__: 0 data: '1.79697508301208897305381915795750' prec: 113 - - Lhash: '2277936542575446941645395313668' Lhash_array: - '2277936542575446941645395313668' id: 23342328 label: 2-84-7.3-c8-0-10 type: CMF url: ModularForm/GL2/Q/holomorphic/84/9/m/b/73/5 label_cols: - label - label - label labels: - 2-84-7.3-c8-0-10 - 2-84-7.3-c8-0-10 - 2-84-7.3-c8-0-10 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-03-28T14:39:07.173864'