data: - - Lhash: '248726031412606142814775465623' a10: - 2.137054624375387 - -2.3308791329530094 a2: - -0.541196100146197 - 1.3065629648763766 a3: - -1.3065629648763766 - 1.137054624375387 a4: - -1.4142135623730951 - -1.4142135623730951 a5: - -2.1010029896154587 - -0.7653668647301796 a6: - -0.7785266800637528 - -2.322476309551706 a7: - -2.274109248750774 - 0.0 a8: - 2.613125929752753 - -1.082392200292394 a9: - 0.41421356237309503 - -2.9712669225006008 accuracy: 100 algebraic: true analytic_conductor: 0.9582048242553651 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0.541196100146197 - -1.3065629648763766 - - 3 - - - 1.0 - 0 - - 1.3065629648763766 - -1.137054624375387 - - 5 - - - 1.0 - 0 - - 2.1010029896154587 - 0.7653668647301796 bad_primes: - 2 - 3 - 5 central_character: '120.59' coefficient_field: CDF conductor: 120 conductor_radical: 30 conjugate: '5218830375373169758831650295217' degree: 2 euler_factors: - - - 1.0 - 0 - - 0.541196100146197 - -1.3065629648763766 - - - 1.0 - 0 - - 1.3065629648763766 - -1.137054624375387 - - - 1.0 - 0 - - 2.1010029896154587 - 0.7653668647301796 - - - 1.0 - 0 - - 2.274109248750774 - 0 - - 7.0 - 0 - - - 1.0 - 0 - - 0 - -4.2020059792309175 - - -11.0 - 0 - - - 1.0 - 0 - - 3.216076141901435 - 0 - - 13.0 - 0 - - - 1.0 - 0 - - 1.5307337294603591 - 0 - - 17.0 - 0 - - - 1.0 - 0 - - 4.82842712474619 - 0 - - 19.0 - 0 - - - 1.0 - 0 - - 0 - -1.082392200292394 - - -23.0 - 0 - - - 1.0 - 0 - - 1.7405278657702838 - 0 - - 29.0 - 0 - - - 1.0 - 0 - - 0 - -6.82842712474619 - - -31.0 - 0 - - - 1.0 - 0 - - -7.7642946394029835 - 0 - - 37.0 - 0 - - - 1.0 - 0 - - 0 - 2.4614781134606334 - - -41.0 - 0 - - - 1.0 - 0 - - 0 - 8.706261532553643 - - -43.0 - 0 - - - 1.0 - 0 - - 0 - 1.082392200292394 - - -47.0 - 0 - - - 1.0 - 0 - - 0 - -11.086554390135442 - - -53.0 - 0 - - - 1.0 - 0 - - 0 - 4.2020059792309175 - - -59.0 - 0 - - - 1.0 - 0 - - 0 - 8.48528137423857 - - -61.0 - 0 - - - 1.0 - 0 - - 0 - 2.274109248750774 - - -67.0 - 0 - - - 1.0 - 0 - - 11.885067690002403 - 0 - - 71.0 - 0 - - - 1.0 - 0 - - 0 - -4.548218497501548 - - -73.0 - 0 - - - 1.0 - 0 - - 0 - -0.4852813742385703 - - -79.0 - 0 - - - 1.0 - 0 - - 6.942694730922329 - 0 - - 83.0 - 0 - - - 1.0 - 0 - - 0 - -8.404011958461835 - - -89.0 - 0 - - - 1.0 - 0 - - 0 - -10.98037078130442 - - -97.0 - 0 - - - 1.0 - 0 - - -13.625595555772687 - 0 - - 101.0 - 0 - - - 1.0 - 0 - - 8.706261532553643 - 0 - - 103.0 - 0 - - - 1.0 - 0 - - 5.674593388673471 - 0 - - 107.0 - 0 - - - 1.0 - 0 - - 0 - -16.48528137423857 - - -109.0 - 0 - - - 1.0 - 0 - - -0.6340506711244288 - 0 - - 113.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 9605491 index: 0 label: 2-120-120.59-c1-0-0 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/120/2/m/b/59/8 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 0.15160256966700497 - 0.054205702068377624 - -0.040926339860386976 - -0.1376386716803801 - -0.23877634951295562 - -0.3460184218884244 - -0.4598134128931225 - -0.5793773452078285 - -0.7027232035196193 - -0.8267098865977781 - -0.9471153012878591 - -1.0587473651418917 - -1.1556090062443616 - -1.2311309726477577 - -1.2784811513041612 - -1.2909521797755872 - -1.2624209898778203 - -1.18786497937207 - -1.0639102437155854 - -0.8893783324286979 - -0.6657900977123847 - -0.39777927355477927 - -0.09336541416568597 - 0.2359633540118538 - 0.5754018859972533 - 0.9072474716237433 - 1.2116050467035948 - 1.4673754510068435 - 1.6534995576164422 - 1.7504042649124727 - 1.741569223969865 - 1.615108312593429 - 1.3652400921228915 - 0.9935096724409707 - 0.5096231956381398 - -0.06823241468329333 - -0.7136865555314529 - -1.393162037858888 - -2.0675440788709594 - -2.6944926351734217 - -3.2312843276292766 - -3.6380060665383382 - -3.880866023927783 - -3.9353457292863236 - -3.788896262409303 - -3.4428870348000875 - -2.9135507335424538 - -2.2317331988835716 - -1.4413496876476186 - -0.5965631298196474 - 0.24217360457730885 - 1.012942605785848 - 1.6576704943690703 - 2.127453494202908 - 2.387381844103416 - 2.420349873930617 - 2.2293954779220986 - 1.8382248614460865 - 1.2897388174492597 - 0.6425725523129611 - -0.03412623518328311 - -0.6672492490551072 - -1.1870006032088338 - -1.5341584027385204 - -1.6665416168542821 - -1.5639338850914577 - -1.230840109744331 - -0.6966582311989848 - -0.01311967339148008 - 0.7508399152228823 - 1.5163075149496854 - 2.202970406056061 - 2.7380960606747253 - 3.064867623078465 - 3.1490542962772543 - 2.9831516552526702 - 2.5874015828777917 - 2.0074677832664642 - 1.3089588774457563 - 0.56940515560839 - -0.13134836549334877 - -0.7211227487319859 - -1.1444529187743178 - -1.3694715139435123 - -1.391647280624291 - -1.2337951567804153 - -0.9422760519348347 - -0.5798422116277603 - -0.21608376202378496 - 0.08318143144084092 - 0.2660228017826206 - 0.302474518303771 - 0.1892734874812752 - -0.049593334020112005 - -0.3667777637705288 - -0.6994620526953399 - -0.980167751203052 - -1.148872787491133 - -1.1645234142066394 - -1.0140049560520181 - -0.7169174174659058 - -0.3250661053090962 - 0.08364549602688552 - 0.4163510621356258 - 0.5799604110798091 - 0.4973878158018623 - 0.12275283086888905 - -0.5469932803815483 - -1.4661882414499368 - -2.5417513547198354 - -3.642043750721606 - -4.6125264680835345 - -5.296321062411122 - -5.556874637066553 - -5.299410244192476 - -4.487812803766643 - -3.15409626120773 - -1.3985730633105145 - 0.6198250457250389 - 2.7021375941147023 - 4.634520897992405 - 6.2164736672462615 - 7.2880452766050245 - 7.751927054942531 - 7.586974184358545 - 6.850926197445106 - 5.671713101486587 - 4.228503393294587 - 2.7252854812697387 - 1.3610017550046507 - 0.3008587618165157 - -0.3467013499443135 - -0.5437612934566338 - -0.32530398457093523 - 0.21005040648183257 - 0.9192700670980788 - 1.6407598883233518 - 2.222385298488213 - 2.5468765374668507 - 2.5503035109882353 - 2.2305565536305734 - 1.64456264276186 - 0.8949948097645244 - 0.10912990294513672 - -0.5860725557631485 - -1.0879281468700748 - -1.3364933051657093 - -1.3240797997689393 - -1.0940943688029834 - -0.7295612210158786 - -0.33371744083935584 - -0.0066596900718396196 - 0.17715415255752345 - 0.18586146600197287 - 0.037980143157133786 - -0.20079488484594718 - -0.4313773189702989 - -0.5430494556453926 - -0.4388545166944377 - -0.059378626437487265 - 0.6001770576965944 - 1.4835389963812544 - 2.479383317293667 - 3.4392010606488475 - 4.203903047245661 - 4.634133337402501 - 4.638288848055032 - 4.192464272102763 - 3.347957623771039 - 2.224338606774991 - 0.9889499625343221 - -0.1734902679298558 - -1.0953700649232156 - -1.657904487102139 - -1.8135994734895893 - -1.594664101500285 - -1.1053332168782342 - -0.49933781287305967 - 0.05310901511108143 - 0.40211791463504104 - 0.4510273483616512 - 0.17829601784453236 - -0.3566202842495786 - -1.0251691263732254 - -1.657404172522147 - -2.0800561188586344 - -2.1571010638968438 - -1.8240991745149393 - -1.1085454598514957 - -0.1311358262457843 - 0.9132925902413587 - 1.7921092269671144 - 2.2816790104269247 - 2.2152317738783998 - 1.5218164013589404 - 0.24779201536108286 - -1.444390795877404 - -3.300845107271907 - -5.020238535624245 - -6.308894444475072 - -6.936246285962713 - -6.779527780886579 - -5.848526021666604 - -4.285119162365938 - -2.337386510170473 - -0.3132702080864901 - 1.4770106859169896 - 2.77824924420746 - 3.4357533999210776 - 3.4200393582027755 - 2.826063082019807 - 1.8476861223474754 - 0.7332521764672859 - -0.26795780453082874 - -0.9568665011232739 - -1.2225677410439404 - -1.0594464854615675 - -0.5605161103242843 - 0.11064365538130157 - 0.7622623701206007 - 1.2209527516423677 - 1.3716862845002475 - 1.1821784480730773 - 0.7065449655789223 - 0.06808098900786103 - -0.5740353042353452 - -1.0655735430906683 - -1.2954291639535143 - -1.2217950739585806 - -0.8800792189276434 - -0.3709401913176776 - 0.16818372727593606 - 0.6005236646587125 - 0.8266127877171756 - 0.8105107519185654 - 0.5886767967870901 - 0.2590076868142886 - -0.047274220627626054 - -0.20362212536992982 - -0.12599738466140825 - 0.1997778210026482 - 0.7090279306398769 - 1.2708931263514198 - 1.7203385126261204 - 1.9019230321527656 - 1.7142239200544012 - 1.1430070217434711 - 0.2734792263967464 - -0.7231715747400943 - -1.6273643182774922 - -2.2249130885157764 - -2.364392833513937 - -2.003682428337893 - -1.233027259606295 - -0.26697395714795835 - 0.5952683391033291 - 1.0337635324867722 positive_zeros: - '0.19621024229217829948481741662273' - '2.78618473632705026028466914790559' - '4.36108264110275123978390467498279' - '6.21326606944138263951129373134763' - '7.49361558743166755138278941097957' - '8.502225004914504743072371385418760' - '9.975377592129621485669146997510428' - '11.08589337107232167185511289760050' - '11.60287457379997192678695401041301' - '12.72346763953536553181892414277712' prelabel: 2-120-120.59-c1-0 primitive: true rational: false root_analytic_conductor: 0.9788793716568784 root_angle: 0.7582451123975462 root_number: -0.7251835627632383 + 0.6885555898386249*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.379122556199' prec: 47 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '0.19621024229217829948481741662' prec: 103 z2: __RealLiteral__: 0 data: '2.78618473632705026028466914791' prec: 103 z3: __RealLiteral__: 0 data: '4.36108264110275123978390467498' prec: 103 - - algebraic: true analytic_conductor: 0.9582048242553651 bad_primes: - 2 - 3 - 5 central_character: '120.59' conductor: 120 conductor_radical: 30 degree: 2 id: 9605491 index: 0 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/120/2/m/b/59/8 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: 2-120-120.59-c1-0-0 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: 2-120-120.59-c1-0 primitive: true rational: false root_analytic_conductor: 0.9788793716568784 root_angle: 0.3791225561987731 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '0.19621024229217829948481741662' prec: 103 - - Lhash: '248726031412606142814775465623' Lhash_array: - '248726031412606142814775465623' id: 9971526 label: 2-120-120.59-c1-0-0 type: CMF url: ModularForm/GL2/Q/holomorphic/120/2/m/b/59/8 label_cols: - label - label - label labels: - 2-120-120.59-c1-0-0 - 2-120-120.59-c1-0-0 - 2-120-120.59-c1-0-0 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-25T08:46:38.072343'