data: - - Lhash: '1949993371601513762557110382271' a10: - 0.0 - 0.0 a2: - 0.0 - 0.0 a3: - 0.0 - 0.0 a4: - 1.8793852415718169 - -0.6840402866513374 a5: - 0.0 - 0.0 a6: - 0.0 - 0.0 a7: - 0.9396926207859084 - 0.3420201433256687 a8: - 0.0 - 0.0 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: '729.82' coefficient_field: CDF conductor: 729 conductor_radical: 3 conjugate: '1545005801644643949555393097982' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 0 - - -1.8793852415718169 - 0.6840402866513374 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 0.8682408883346517 - 4.924038765061041 - - - 1.0 - 0 - - -0.9396926207859084 - -0.3420201433256687 - - 5.362311101832846 - 4.499513267805775 - - - 1.0 - 0 - - 0 - 0 - - 1.9101299543362338 - -10.832885283134289 - - - 1.0 - 0 - - -0.8682408883346517 - 4.924038765061041 - - -12.216004070216808 - -4.446261863233693 - - - 1.0 - 0 - - 0 - 0 - - -8.5 - -14.722431864335457 - - - 1.0 - 0 - - -3.5 - -6.06217782649107 - - -9.5 - 16.454482671904334 - - - 1.0 - 0 - - 0 - 0 - - 17.619022191736494 - -14.784115022790404 - - - 1.0 - 0 - - 0 - 0 - - -27.251086002791343 - 9.918584156444393 - - - 1.0 - 0 - - -3.7587704831436337 - 1.3680805733026749 - - 23.747377736688318 - -19.92641590028272 - - - 1.0 - 0 - - 5.5 - -9.526279441628825 - - -18.5 - -32.04293994002423 - - - 1.0 - 0 - - 0 - 0 - - -38.527397452222246 - -14.022825876352417 - - - 1.0 - 0 - - -6.128355544951824 - 5.142300877492315 - - 7.466871639678005 - -42.34673337952495 - - - 1.0 - 0 - - 0 - 0 - - 36.00408882659197 - 30.211017655267348 - - - 1.0 - 0 - - 0 - 0 - - 53.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 10.24524248234889 - 58.10365742772028 - - - 1.0 - 0 - - -0.9396926207859084 - -0.3420201433256687 - - 46.728711030257664 - 39.2100441908789 - - - 1.0 - 0 - - -0.8682408883346517 - 4.924038765061041 - - -62.95940559265586 - -22.915349602819806 - - - 1.0 - 0 - - 0 - 0 - - -35.5 - -61.48780366869514 - - - 1.0 - 0 - - -3.5 - -6.06217782649107 - - -36.5 - 63.21985447626402 - - - 1.0 - 0 - - -2.952019020337816 - -16.741731801207536 - - -74.23571704208676 - 27.01959132272783 - - - 1.0 - 0 - - 0 - 0 - - -77.9944875252304 - 28.387671896030504 - - - 1.0 - 0 - - 0 - 0 - - -44.5 - 77.07626093681505 - - - 1.0 - 0 - - 14.554844419260583 - -12.212964584044247 - - 16.843873233692243 - -95.52635204218419 - - - 1.0 - 0 - - 0 - 0 - - 77.37048875501678 - 64.92154857834048 - - - 1.0 - 0 - - 9.958577760546714 - 8.35623892592501 - - 17.885762299693827 - 101.43519856025743 - - - 1.0 - 0 - - 0 - 0 - - 107.0 - 0 - - - 1.0 - 0 - - -2.0 - 0 - - 109.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 19.62224407636313 - 111.28327609037952 gamma_factors: - [] - - 0 group: GL2 id: 13378303 index: 18 label: 2-3e6-27.13-c1-0-18 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/f/82/1 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 2.0089474632616673 - 2.063333923196554 - 2.1040130935537475 - 2.1251837543554313 - 2.1175391352973834 - 2.0699123549950724 - 1.971199541877208 - 1.8122857232047929 - 1.587809559649363 - 1.2976578849166478 - 0.9480812076384999 - 0.5523009184925781 - 0.1304690428847842 - -0.29114042996577905 - -0.6817773831022359 - -1.008683093461325 - -1.2402556288685052 - -1.349669582886843 - -1.3185921495771349 - -1.1405475502634161 - -0.8234358581318169 - -0.39072733903526863 - 0.11905924445473354 - 0.6548240437956303 - 1.1573015370139197 - 1.5651547128048091 - 1.822196073202839 - 1.8849310331024354 - 1.7294419597448027 - 1.3565703826701219 - 0.7944412572545914 - 0.09761867003893873 - -0.6574248106387651 - -1.3803410551580504 - -1.9777094824167256 - -2.365365411014792 - -2.480619689183881 - -2.2925525317706987 - -1.8086472346637865 - -1.076401726807025 - -0.17919522861085058 - 0.7734783613093487 - 1.6603854488773553 - 2.365664979747344 - 2.79618150947017 - 2.8963531656586694 - 2.6578633665812057 - 2.1223039401915735 - 1.3758379213976322 - 0.5362698131524033 - -0.26573788723773506 - -0.9084012395437896 - -1.299863463761112 - -1.394774236494681 - -1.203162091693173 - -0.7895525819906448 - -0.2619557976565818 - 0.2477771836074392 - 0.6089914326019155 - 0.7181711515673022 - 0.5208250129992752 - 0.024809007046338316 - -0.6980373571025904 - -1.5229622086690515 - -2.294638160403957 - -2.856971102071357 - -3.0848329474675156 - -2.9114197593539806 - -2.3454214707194847 - -1.473902607464075 - -0.44946965368290615 - 0.5365497229370377 - 1.2901959062972201 - 1.6533196499526996 - 1.5365860761246082 - 0.9399676300168781 - -0.04408380229931147 - -1.2461783565407119 - -2.451734437717706 - -3.442856323408783 - -4.041843031557261 - -4.147139290059053 - -3.7538367437887463 - -2.9539344834216257 - -1.9158707187293849 - -0.8474309407664913 - 0.05000823739074175 - 0.6257450180227162 - 0.8124227049037435 - 0.6393875080298159 - 0.22329651152254174 - -0.2622102611175909 - -0.6309355496339479 - -0.7322213705761029 - -0.49106326149226603 - 0.069868759994062 - 0.8323485636217917 - 1.6091833923827878 - 2.189566201892381 - 2.3925891724572903 - 2.1158350029326174 - 1.3666239021524262 - 0.2672836539825957 - -0.968070824568723 - -2.080737627460671 - -2.8278912844558497 - -3.0418092389604245 - -2.673066957115172 - -1.8063346630484176 - -0.6438513266333818 - 0.540401697430663 - 1.4653206381053956 - 1.9105001709561364 - 1.7703764030852192 - 1.0808040198175008 - 0.010832160059908204 - -1.1788378538984547 - -2.2006452570952915 - -2.811944559481801 - -2.875381708798947 - -2.392151584532322 - -1.4992871115001993 - -0.4315025973805222 - 0.542450818586357 - 1.1919998525076605 - 1.3860833865461484 - 1.1268599444740022 - 0.5463850617537721 - -0.13305598866294485 - -0.664154911393743 - -0.8471829553083822 - -0.5894182922360831 - 0.06586445859899748 - 0.9498218147478537 - 1.8157986833426294 - 2.4115343888687177 - 2.5555023865571718 - 2.1952308997903907 - 1.4299270902381258 - 0.4894476878025568 - -0.3259902689342559 - -0.7294512422279101 - -0.5310436466791901 - 0.3023018219856182 - 1.6290879382373755 - 3.1641241648027916 - 4.5508627219022495 - 5.455941821127612 - 5.659778400621655 - 5.117510987701459 - 3.9724901209727665 - 2.517751682361618 - 1.1157613860088473 - 0.0988803404067146 - -0.3211572170230105 - -0.10879679417722575 - 0.5907251805154753 - 1.4988618889030891 - 2.289142233942015 - 2.6850008908865934 - 2.5408276245081827 - 1.8820154094644095 - 0.8921780946044723 - -0.14817491174580133 - -0.95225654405561 - -1.3184812661135443 - -1.1939175748701247 - -0.6893946118018703 - -0.04103478079152076 - 0.47000392480118575 - 0.6141772274608459 - 0.29536310029551327 - -0.4094106357973387 - -1.2667493529270217 - -1.95681786417101 - -2.1757845092938406 - -1.7389565478497226 - -0.6513911456759642 - 0.8780673954524482 - 2.48624893242765 - 3.7556710066514416 - 4.335782109204355 - 4.04853818700656 - 2.9452927509046587 - 1.2963749069007076 - -0.4846757552072103 - -1.9598585144106728 - -2.7923915454887744 - -2.840759457376433 - -2.1922343209467146 - -1.1259200538536815 - -0.017640667937340437 - 0.7825365798684166 - 1.0606929244987215 - 0.8019790198741849 - 0.18626819500110944 - -0.4811362165484723 - -0.8799841218445865 - -0.7893396356680439 - -0.16693899670954404 - 0.833358684976788 - 1.9121751288827562 - 2.726285884993951 - 3.0067547081118584 - 2.652867219043417 - 1.7689650559210117 - 0.63045815693184 - -0.41045957479963785 - -1.047755410059594 - -1.1308707893889487 - -0.7218075943644269 - -0.07851576902493147 - 0.43190739776159626 - 0.4622586109888334 - -0.18690112831947148 - -1.4848938297108403 - -3.1641438280932404 - -4.7940268545268765 - -5.913021875085459 - -6.176404141524011 - -5.470399398768545 - -3.9539882374721276 - -2.0132241641107322 - -0.14214938118790288 - 1.2107597585388723 - 1.779795969066078 - 1.5573731822685508 - 0.7829284784263605 - -0.14979782472028458 - -0.8344225746884611 - -0.993232253329608 - -0.5693477884584361 - 0.26155179185719835 - 1.1627761557131104 - 1.7648293971063604 - 1.8036661290224214 - 1.2189995419001147 - 0.17719073420854928 - -0.989397218064058 - -1.9042731007421383 - -2.2850993358628178 - -2.0472227795852342 - -1.3336414811668516 - -0.45937656602082416 - 0.21014729626149084 - 0.4021525025730039 - 0.047456895504793935 - -0.683564675306263 - -1.4361015563728718 - -1.7997611562686353 - -1.4658462249044764 - -0.35569093377750527 - 1.32862810102906 - 3.153124439149313 - 4.586682053144064 - 5.176673076354195 - 4.704360133968694 positive_zeros: - '1.53827353629654300169931148093872' - '2.72184952383379176943349457570255' - '3.89140524968830114346084977687790' - '5.02359505910417287553351515004092' - '6.20666735076104675126060596197266' - '7.06161528353037875473470237816247' - '7.62991530431921058117347079900421' - '8.804880235518497228374776897339880' - '9.495088441770129377999257989015186' - '10.74184171131108221650325611893204' prelabel: 2-3e6-27.13-c1-0 primitive: true rational: false root_analytic_conductor: 2.4126944081982997 root_angle: 0.14814814814814817 root_number: 0.8936326403234123 + 0.4487991802004622*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.0740740740741' prec: 50 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '1.53827353629654300169931148094' prec: 103 z2: __RealLiteral__: 0 data: '2.72184952383379176943349457570' prec: 103 z3: __RealLiteral__: 0 data: '3.89140524968830114346084977688' prec: 103 - - algebraic: true analytic_conductor: 5.821094307351343 bad_primes: - 3 central_character: '27.13' conductor: 729 conductor_radical: 3 degree: 2 id: 13378303 index: 18 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/729/2/e/f/82/1 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: 2-3e6-27.13-c1-0-18 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: 2-3e6-27.13-c1-0 primitive: true rational: false root_analytic_conductor: 2.4126944081982997 root_angle: 0.07407407407407408 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '1.53827353629654300169931148094' prec: 103 - - Lhash: '1949993371601513762557110382271' Lhash_array: - '1949993371601513762557110382271' id: 13744327 label: 2-3e6-27.13-c1-0-18 type: CMF url: ModularForm/GL2/Q/holomorphic/729/2/e/f/82/1 label_cols: - label - label - label labels: - 2-3e6-27.13-c1-0-18 - 2-3e6-27.13-c1-0-18 - 2-3e6-27.13-c1-0-18 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-24T21:17:06.410762'