data: - - Lhash: '2130821839023580527745037866027' a10: - 0.0 - 0.0 a2: - 0.0 - 0.0 a3: - 2.5615528128088303 - 0.0 a4: - 0.0 - 0.0 a5: - 4.2060818559104085 - 0.0 a6: - 0.0 - 0.0 a7: - -1.7425213613541677 - 0.0 a8: - 0.0 - 0.0 a9: - 3.5615528128088303 - 0.0 accuracy: 100 algebraic: true analytic_conductor: 9.7098088857877 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0 - 0 - - 19 - - - 1.0 - 0 - - -1.0 - 0 bad_primes: - 2 - 19 central_character: '1216.1' coefficient_field: CDF conductor: 1216 conductor_radical: 38 degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - -2.5615528128088303 - 0 - - 3.0 - 0 - - - 1.0 - 0 - - -4.2060818559104085 - 0 - - 5.0 - 0 - - - 1.0 - 0 - - 1.7425213613541677 - 0 - - 7.0 - 0 - - - 1.0 - 0 - - -6.2060818559104085 - 0 - - 11.0 - 0 - - - 1.0 - 0 - - 4.825497591646915 - 0 - - 13.0 - 0 - - - 1.0 - 0 - - 5.129571765809914 - 0 - - 17.0 - 0 - - - 1.0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0.46356049455624043 - 0 - - 23.0 - 0 - - - 1.0 - 0 - - 4.825497591646915 - 0 - - 29.0 - 0 - - - 1.0 - 0 - - -1.6380629029093252 - 0 - - 31.0 - 0 - - - 1.0 - 0 - - 3.638062902909325 - 0 - - 37.0 - 0 - - - 1.0 - 0 - - 5.2890580862031555 - 0 - - 41.0 - 0 - - - 1.0 - 0 - - -1.0829762302927477 - 0 - - 43.0 - 0 - - - 1.0 - 0 - - -0.5550866726165775 - 0 - - 47.0 - 0 - - - 1.0 - 0 - - 2.65954513106142 - 0 - - 53.0 - 0 - - - 1.0 - 0 - - 1.850610899011986 - 0 - - 59.0 - 0 - - - 1.0 - 0 - - -9.329187481528068 - 0 - - 61.0 - 0 - - - 1.0 - 0 - - -4.727505273394326 - 0 - - 67.0 - 0 - - - 1.0 - 0 - - -11.485042722708336 - 0 - - 71.0 - 0 - - - 1.0 - 0 - - 0.006466140192252766 - 0 - - 73.0 - 0 - - - 1.0 - 0 - - 6.761168528526985 - 0 - - 79.0 - 0 - - - 1.0 - 0 - - 11.897206434529151 - 0 - - 83.0 - 0 - - - 1.0 - 0 - - 7.31909026212284 - 0 - - 89.0 - 0 - - - 1.0 - 0 - - 10.412163711820817 - 0 - - 97.0 - 0 - - - 1.0 - 0 - - 0.2462112512353211 - 0 - - 101.0 - 0 - - - 1.0 - 0 - - 0.7109419137968442 - 0 - - 103.0 - 0 - - - 1.0 - 0 - - 11.697590718810996 - 0 - - 107.0 - 0 - - - 1.0 - 0 - - -2.991450052232411 - 0 - - 109.0 - 0 - - - 1.0 - 0 - - -6.412163711820816 - 0 - - 113.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 20283632 index: 23 label: 2-1216-1.1-c1-0-23 leading_term: '3.52055229223639351391843940936' 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/1216/2/a/x/1/4 plot_delta: __RealLiteral__: 0 data: '0.05859375' prec: 34 plot_values: - 3.5205522922363937 - 3.519008021206468 - 3.5142032594426005 - 3.5056320653584354 - 3.4924833998493194 - 3.47368670353872 - 3.447970746162436 - 3.4139317626079326 - 3.370106838133365 - 3.3150488648692966 - 3.2473999932320012 - 3.165961175315245 - 3.069756012497756 - 2.958087602448591 - 2.830587410061833 - 2.687255379145564 - 2.5284905941900946 - 2.355111837896763 - 2.1683674109243913 - 1.9699336181090012 - 1.7619014033411111 - 1.5467507473735302 - 1.3273126353257865 - 1.1067186534993334 - 0.8883385833237355 - 0.6757067149633185 - 0.47243799245268103 - 0.28213551195758174 - 0.10829130880779296 - -0.045817230079171344 - -0.17723262210350438 - -0.28342118712030806 - -0.36237230998149234 - -0.4126896233292796 - -0.43367060126826085 - -0.42537110380741283 - -0.38865158605450284 - -0.3252019916853449 - -0.23754278948046803 - -0.12900018213599354 - -0.0036542102663343003 - 0.13374072181677782 - 0.27786247721352636 - 0.42295359148896083 - 0.5629770694257927 - 0.6917921877003113 - 0.8033459467886975 - 0.8918749162315663 - 0.9521114299995647 - 0.9794874526052145 - 0.9703289890939012 - 0.9220336865225817 - 0.8332242987991768 - 0.7038709813672146 - 0.5353759589970641 - 0.3306149706862431 - 0.0939310311749507 - -0.16892256196942873 - -0.4508914359766998 - -0.7437812375345325 - -1.0384683765371532 - -1.3251562126278225 - -1.5936705236455309 - -1.8337862313150348 - -2.0355756661613706 - -2.189767209710773 - -2.288102032702396 - -2.3236759211054907 - -2.291252904314537 - -2.1875376151201937 - -2.0113940452066688 - -1.7639996200143881 - -1.448925288791956 - -1.0721345734498569 - -0.6418971851393238 - -0.16861582066467184 - 0.3354320073077114 - 0.8564318877113756 - 1.379441599356786 - 1.8888595784546396 - 2.368938043178851 - 2.804323544226879 - 3.1806057521582267 - 3.4848539985754834 - 3.70612055174876 - 3.8358898944197315 - 3.8684544175195645 - 3.801198949013918 - 3.634779365768715 - 3.3731841142921386 - 3.0236716827950905 - 2.596581777457992 - 2.1050229855650846 - 1.5644448589505995 - 0.9921074083352885 - 0.4064657402789404 - -0.17350822682671568 - -0.7290415715757261 - -1.242285778744317 - -1.6970223822885162 - -2.0793192336620314 - -2.3781088113743323 - -2.585662290790646 - -2.697936630172384 - -2.714776596990682 - -2.639959298340598 - -2.481075179637684 - -2.2492463607494066 - -1.958690297321253 - -1.6261437731852526 - -1.2701688237811712 - -0.910368042206996 - -0.5665415312562749 - -0.257821274831223 - -0.0018206986887744482 - 0.1861624756856831 - 0.2938533859019917 - 0.3125836362683732 - 0.23772259533674625 - 0.0689338961241694 - -0.18975783647259514 - -0.5300965741251301 - -0.9399183517111644 - -1.403657058624276 - -1.9030121855850524 - -2.4177500790654167 - -2.926603330125593 - -3.408227527096667 - -3.842171044230318 - -4.209812052630212 - -4.49521766135637 - -4.685883055205569 - -4.773313609084519 - -4.753420032869326 - -4.626705334613195 - -4.398232388460251 - -4.0773716831565805 - -3.67733987775629 - -3.2145505422694756 - -2.7078083491735327 - -2.1773864702802177 - -1.6440335418281042 - -1.1279608917534665 - -0.6478624873707424 - -0.22001909654604376 - 0.14246556160073692 - 0.43025524547589716 - 0.6381654724852277 - 0.7653195853280349 - 0.8150666259220718 - 0.7946639449732428 - 0.7147405136965099 - 0.5885693657517316 - 0.431188780803724 - 0.25842107282809446 - 0.08584459855175484 - -0.072221593507635 - -0.20366049364160033 - -0.29937007544022864 - -0.3538954190490403 - -0.36583818104542787 - -0.33801342930860223 - -0.2773377714721341 - -0.19444795186959188 - -0.10306485101273051 - -0.019133213585679824 - 0.04021843314426075 - 0.05784117626620623 - 0.017786763160537133 - -0.09348506244775677 - -0.28598606413318806 - -0.5652366022072935 - -0.9315245131701851 - -1.3794395176966685 - -1.8977229731772118 - -2.4694560885296823 - -3.072591108116861 - -3.680810450202621 - -4.264679441359908 - -4.793040235532738 - -5.234578821566147 - -5.559484681580653 - -5.741114479524462 - -5.7575677363525815 - -5.593084132300178 - -5.239178930995243 - -4.695444811925674 - -3.9699646023242643 - -3.0792992216315827 - -2.048037563600156 - -0.9079188354495858 - 0.3034382715819606 - 1.544142652847676 - 2.769897247782103 - 3.9360319370929533 - 4.999598690304493 - 5.9214191437025905 - 6.6679752229000036 - 7.213040033835597 - 7.538958783720781 - 7.637507359463391 - 7.510278459946228 - 7.1685706460490115 - 6.632782920652031 - 5.93134492814125 - 5.099238972879385 - 4.176193252749689 - 3.204644585522607 - 2.2275823025082686 - 1.2863920330526013 - 0.4188183079697896 - -0.3428418237448345 - -0.9732153195356749 - -1.4549201999148387 - -1.77916755480613 - -1.945870331786874 - -1.9632599103489305 - -1.8470406361021006 - -1.619139874189635 - -1.3061350476066547 - -0.9374580542983284 - -0.5434901999181992 - -0.15366650705194268 - 0.20529343562458593 - 0.5109199774646869 - 0.7462010430296809 - 0.9003924279717865 - 0.9693865278819352 - 0.955624364365496 - 0.8675658401529468 - 0.7187622512671727 - 0.526601300501107 - 0.31081644933408825 - 0.09186795353707529 - -0.1106887278194166 - -0.27973089849154437 - -0.40188404643975456 - -0.4685306116870609 - -0.4764393627637501 - -0.42796920116573295 - -0.3308312138298888 - -0.19742423448728022 - -0.04378992289076787 - 0.1117386955122682 - 0.25009813511785983 - 0.35315101313587194 - 0.4053155135251413 - 0.3950445134252565 - 0.31603933353767993 - 0.16809955906123744 - -0.042465826009494084 - -0.302911138789379 - -0.5946221862749581 - -0.8941564615887716 - -1.174697490636794 - -1.4078342626719753 - -1.5655508780117027 positive_zeros: - '1.68092204479684283311066936890752' - '2.34536741288858229298641641735454' - '3.30278924354539835556687382360109' - '4.41445634409341867414980068449063' - '5.60729607740898027930719918902858' - '6.68016368521213508621002392349436' - '6.99034840590051602903020580812626' - '8.471669322050260378488247578770290' - '9.112874821974212042669934231190060' - '9.683755030684106525310886187170459' prelabel: 2-1216-1.1-c1-0 primitive: true rational: false root_analytic_conductor: 3.11605662429098 root_angle: 0.0 root_number: '1' self_dual: true sign_arg: 0 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '1.68092204479684283311066936891' prec: 103 z2: __RealLiteral__: 0 data: '2.34536741288858229298641641735' prec: 103 z3: __RealLiteral__: 0 data: '3.30278924354539835556687382360' prec: 103 - - algebraic: true analytic_conductor: 9.7098088857877 bad_primes: - 2 - 19 central_character: '1.1' conductor: 1216 conductor_radical: 38 degree: 2 id: 20283632 index: 23 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/1216/2/a/x/1/4 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: 2-1216-1.1-c1-0-23 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: 2-1216-1.1-c1-0 primitive: true rational: false root_analytic_conductor: 3.11605662429098 root_angle: 0.0 self_dual: true spectral_label: c1-0 z1: __RealLiteral__: 0 data: '1.68092204479684283311066936891' prec: 103 - - Lhash: '2130821839023580527745037866027' Lhash_array: - '2130821839023580527745037866027' id: 20615677 label: 2-1216-1.1-c1-0-23 type: CMF url: ModularForm/GL2/Q/holomorphic/1216/2/a/x/1/4 label_cols: - label - label - label labels: - 2-1216-1.1-c1-0-23 - 2-1216-1.1-c1-0-23 - 2-1216-1.1-c1-0-23 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-25T12:06:53.772296'