data: - - Lhash: '601908504784647557194167973705' a10: - -2.2004038953017124 - 3.811211343835034 a2: - -1.6278664512061225 - 1.3659421388129251 a3: - 0.0 - 0.0 a4: - 0.4368549010437262 - -2.477527258100178 a5: - 1.9460473851938358 - -0.708303322682131 a6: - 0.0 - 0.0 a7: - 0.8419631867306866 - 4.775010513693133 a8: - 0.5479887129786865 - 0.9491442928533635 a9: - 0.0 - 0.0 accuracy: 100 algebraic: true analytic_conductor: 5.821094307351343 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 3 - - - 1.0 - 0 - - 0 - 0 bad_primes: - 3 central_character: '729.325' coefficient_field: CDF conductor: 729 conductor_radical: 3 conjugate: '2156901884363524328495264347000' degree: 2 euler_factors: - - - 1.0 - 0 - - 1.6278664512061225 - -1.3659421388129251 - - 0.3472963553338607 - -1.969615506024416 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - -1.9460473851938358 - 0.708303322682131 - - 3.83022221559489 - -3.2139380484326967 - - - 1.0 - 0 - - -0.8419631867306866 - -4.775010513693133 - - -6.5778483455013586 - 2.3941410032796813 - - - 1.0 - 0 - - 3.8992440629282745 - 1.4192087750451028 - - 8.426488874308758 - 7.070663706551932 - - - 1.0 - 0 - - 0.9315217324405521 - 0.7816395421244882 - - 2.2574263096700946 - 12.802500789158705 - - - 1.0 - 0 - - 1.1818190660122867 - -2.0469706676868773 - - -8.5 - -14.722431864335457 - - - 1.0 - 0 - - -0.9190032052159406 - -1.5917602437526566 - - -9.5 - 16.454482671904334 - - - 1.0 - 0 - - 0.7473068966360655 - -4.238188016567049 - - -21.612930278075893 - -7.866463296490381 - - - 1.0 - 0 - - -2.2842065128192037 - 1.9166768424393348 - - 5.03579715234098 - -28.559424837354033 - - - 1.0 - 0 - - -0.2558856196057318 - 1.4511994623715998 - - -29.13047124436316 - -10.602624443095731 - - - 1.0 - 0 - - 4.485540681403218 - -7.769184359607496 - - -18.5 - -32.04293994002423 - - - 1.0 - 0 - - -1.7316621873261584 - -1.4530371027090214 - - 7.119575284344144 - 40.37711787350053 - - - 1.0 - 0 - - -5.154080036970508 - -1.8759317184829127 - - 32.93991105411605 - 27.639867216521193 - - - 1.0 - 0 - - -1.2473376675633552 - -7.074003436976414 - - -44.16555317693769 - 16.07494673630643 - - - 1.0 - 0 - - 6.328029027960441 - 0 - - 53.0 - 0 - - - 1.0 - 0 - - 0.24644073919334333 - -0.08969709357693725 - - 45.196622144019706 - -37.92446897150582 - - - 1.0 - 0 - - 0.7737078177712323 - 4.387915080622082 - - -57.32124986794041 - 20.863228742865793 - - - 1.0 - 0 - - -3.1646091811236894 - -2.655422396701122 - - 11.634427903684333 - 65.98211945181794 - - - 1.0 - 0 - - 1.5427552234443043 - -2.672130430647811 - - -35.5 - -61.48780366869514 - - - 1.0 - 0 - - 6.380031221583089 - 11.050538229657642 - - -36.5 - 63.21985447626402 - - - 1.0 - 0 - - -3.487345727625762 - 2.92623051383844 - - 13.718206035687498 - -77.79981248796443 - - - 1.0 - 0 - - 6.475417923970807 - -5.433520791722652 - - 14.412798746355218 - -81.73904350001327 - - - 1.0 - 0 - - 8.481583905104413 - 14.69053425229929 - - -44.5 - 77.07626093681505 - - - 1.0 - 0 - - -4.801614307941845 - -1.7476446845175424 - - 74.30631098254086 - 62.35039813959431 - - - 1.0 - 0 - - -3.2263623636352743 - -18.297610216383553 - - -94.90895469937675 - 34.544034475892545 - - - 1.0 - 0 - - 8.462655357030256 - -3.080154652812435 - - 78.90257764125474 - -66.20712379771355 - - - 1.0 - 0 - - -7.426803772921361 - 0 - - 107.0 - 0 - - - 1.0 - 0 - - 5.623962210180389 - 0 - - 109.0 - 0 - - - 1.0 - 0 - - -2.2577697066327453 - 0.8217609690422553 - - 86.56302207244451 - -72.63499989457894 gamma_factors: - [] - - 0 group: GL2 id: 13392070 index: 4 label: 2-3e6-27.22-c1-0-4 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/729/2/e/t/325/1 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 0.6490434657182201 - 0.48011910774416183 - 0.3103386374504332 - 0.1384866650328809 - -0.03495497622101364 - -0.20684999693214992 - -0.371051669444215 - -0.5186380443828492 - -0.6386663622957415 - -0.7193605212593208 - -0.749637165833014 - -0.7208517305096821 - -0.628605298217938 - -0.4744074518160867 - -0.26695376290898165 - -0.02276286025494495 - 0.2340618023614192 - 0.47311932681135394 - 0.660118360823086 - 0.7603336133135968 - 0.7428766734620074 - 0.5853758567291162 - 0.27851012491364946 - -0.17025904834442648 - -0.7344397086703888 - -1.3683564034662432 - -2.0095256613851964 - -2.583714063990566 - -3.0124739570219283 - -3.222553209842078 - -3.156191929568261 - -2.781013982862562 - -2.0980575349903954 - -1.1465184679533424 - -0.004033332737932765 - 1.2181970414649401 - 2.385484357126158 - 3.3542053500943796 - 3.9893373683893643 - 4.1828379659904735 - 3.870327178736423 - 3.0434735945587317 - 1.7558298212321453 - 0.1206069435058373 - -1.7000498865336569 - -3.5134582182835556 - -5.12037238188566 - -6.341379202962303 - -7.041908832485755 - -7.151967138375869 - -6.677245273337063 - -5.699415128251007 - -4.365033130186239 - -2.8643087813575567 - -1.4027446857931463 - -0.17000441302957778 - 0.688958992970635 - 1.0956494539688237 - 1.0488268197724362 - 0.6223184555262211 - -0.049956887491036675 - -0.7992484934861789 - -1.4530742301387816 - -1.866539689715435 - -1.9480976508342012 - -1.6749194644903092 - -1.0949700042036208 - -0.3154283937528663 - 0.5202099180963459 - 1.2617221418816507 - 1.7824094571078497 - 2.0037989840139225 - 1.9097045255743024 - 1.5467848074560837 - 1.0116361504448792 - 0.4274102345496995 - -0.08469769054997744 - -0.43254126041723606 - -0.5724127882684674 - -0.5161781951583775 - -0.32445764922212095 - -0.08750179001922379 - 0.10151743353538209 - 0.17404669727281694 - 0.10731355837177646 - -0.06677248488024803 - -0.2679858897505762 - -0.38861619061236785 - -0.324120693657094 - -0.0060447199796832204 - 0.5715214717930233 - 1.3396976802251221 - 2.161474143966881 - 2.8574591944534102 - 3.245961258880011 - 3.188517006166002 - 2.629760065148406 - 1.620947852364133 - 0.3196390214252559 - -1.0366368610363377 - -2.17852885497428 - -2.864824564294559 - -2.940431548442177 - -2.3779686481825295 - -1.2914957066024175 - 0.08305196480332759 - 1.4383065165176243 - 2.466543909950581 - 2.935316613068812 - 2.7493308000149956 - 1.9824285682620832 - 0.869866152753372 - -0.23974775783987834 - -0.9635913879769514 - -0.9773939206789969 - -0.10003479057499932 - 1.6509956371079837 - 4.048211890143517 - 6.691753480766191 - 9.089264910980306 - 10.760797736244124 - 11.344849125536236 - 10.680651610167477 - 8.846914636088663 - 6.1472967329275185 - 3.045558816879548 - 0.06548627060542118 - -2.320798648857417 - -3.7897906022295023 - -4.226317584638785 - -3.7329789829395628 - -2.5889350202931354 - -1.1702799639090882 - 0.14651218465920268 - 1.0730723547267154 - 1.467661571719267 - 1.3506546071621623 - 0.8759476347005567 - 0.26920534133056945 - -0.24757573969531246 - -0.5228613660980964 - -0.5149636068761974 - -0.29408105207326085 - -0.008528010916733844 - 0.1726070431447101 - 0.12133811498726033 - -0.20274092460148524 - -0.7360944241920337 - -1.3300032385092253 - -1.7982370805955348 - -1.9781944064835641 - -1.7856836676727408 - -1.2454129317815494 - -0.48689173264409635 - 0.2935134069454851 - 0.8926519978778291 - 1.1636756507795338 - 1.0616636002347728 - 0.6565875513953349 - 0.10879629360939423 - -0.3855349546266078 - -0.6613435566700085 - -0.6416448608590858 - -0.36470673511161894 - 0.029104632052656582 - 0.34808855824433715 - 0.42182811854965235 - 0.17143575531206645 - -0.3476297779116987 - -0.9476769470721247 - -1.3593612550905798 - -1.3180867276104649 - -0.6603777929998839 - 0.6013109968258479 - 2.2526375163239813 - 3.914056026537271 - 5.134876773257508 - 5.520566290997355 - 4.856527281724708 - 3.1896684345013933 - 0.8391776406340479 - -1.672348770029246 - -3.75247253257209 - -4.901552406654727 - -4.857875131189998 - -3.681371333410823 - -1.7481810531207511 - 0.3463230496693119 - 1.9512879095966604 - 2.545385645729651 - 1.8897554965033183 - 0.10352470246100885 - -2.361696379450383 - -4.842656972079493 - -6.646846329113048 - -7.244220452063644 - -6.413115274152774 - -4.2986813756136915 - -1.3681168627223372 - 1.7225177381994363 - 4.3093630547666475 - 5.89600184193738 - 6.272507434709864 - 5.54647751776902 - 4.08196099257369 - 2.3702475790274677 - 0.876066436158687 - -0.09211953167311082 - -0.44952673182293185 - -0.32420385968966303 - 0.02170169798217177 - 0.30653243922886964 - 0.3375786183849535 - 0.07609729785555731 - -0.3611925931274562 - -0.7607679703011427 - -0.9063639523434741 - -0.6718142189774003 - -0.07762170448182208 - 0.7095982501015956 - 1.4341682915967244 - 1.8433204806105445 - 1.7797181232360968 - 1.240098521679147 - 0.3782437162242939 - -0.5488570775191758 - -1.2717326060789977 - -1.602457397262021 - -1.4972313476342158 - -1.0645992277981837 - -0.5169064256040592 - -0.0841269948897212 - 0.07637241180505937 - -0.06113940559537354 - -0.3862986144671996 - -0.7048507713599301 - -0.8269663181737542 - -0.6558474060149327 - -0.2391724498884907 - 0.24082323227791075 - 0.5391350526456242 - 0.45671057934743353 - -0.05615254453499725 - -0.8458822348508784 - -1.5799481791366476 - -1.850167779350746 - -1.3248606861424184 - 0.10252844882110151 - 2.2252305028431083 - 4.53595494808987 - 6.348543993071043 - 6.99791772559132 - 6.057182761925308 - 3.4995822902712863 - -0.2536041318318503 - -4.423304392860026 - -8.079997471915341 positive_zeros: - '0.47482208794464278740935962646976' - '1.88612942088287916686372951352984' - '2.83170459323646686676324940353894' - '4.25041895048044688746810906203279' - '5.38354390184831735762426395814591' - '6.89556545176258099906813280677122' - '7.49153326810801626657855049980833' - '8.421933016176346380884952162050296' - '9.476830756582052017464804955928706' - '10.17592261836784970836961135286437' prelabel: 2-3e6-27.22-c1-0 primitive: true rational: false root_analytic_conductor: 2.4126944081982997 root_angle: -0.9629629629629629 root_number: -0.993238357741943 - 0.11609291412523036*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.481481481481' prec: 50 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '0.47482208794464278740935962647' prec: 103 z2: __RealLiteral__: 0 data: '1.88612942088287916686372951353' prec: 103 z3: __RealLiteral__: 0 data: '2.83170459323646686676324940354' prec: 103 - - algebraic: true analytic_conductor: 5.821094307351343 bad_primes: - 3 central_character: '27.22' conductor: 729 conductor_radical: 3 degree: 2 id: 13392070 index: 4 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/729/2/e/t/325/1 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: 2-3e6-27.22-c1-0-4 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: 2-3e6-27.22-c1-0 primitive: true rational: false root_analytic_conductor: 2.4126944081982997 root_angle: -0.48148148148148145 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '0.47482208794464278740935962647' prec: 103 - - Lhash: '601908504784647557194167973705' Lhash_array: - '601908504784647557194167973705' id: 13758123 label: 2-3e6-27.22-c1-0-4 type: CMF url: ModularForm/GL2/Q/holomorphic/729/2/e/t/325/1 label_cols: - label - label - label labels: - 2-3e6-27.22-c1-0-4 - 2-3e6-27.22-c1-0-4 - 2-3e6-27.22-c1-0-4 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-23T23:33:45.123055'