data: - - Lhash: '686727905017025120724151587460' a10: - 0.0 - 0.0 a2: - 0.0 - 0.0 a3: - -1.0 - -1.4142135623730951 a4: - 0.0 - 0.0 a5: - -1.224744871391589 - 0.7071067811865476 a6: - 0.0 - 0.0 a7: - -4.449489742783178 - 0.0 a8: - 0.0 - 0.0 a9: - -1.0 - 2.8284271247461903 accuracy: 100 algebraic: true analytic_conductor: 7.282356664340774 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0 - 0 - - 3 - - - 1.0 - 0 - - 1.0 - 1.4142135623730951 - - 19 - - - 1.0 - 0 - - -4.174234614174767 - -1.255294939775204 bad_primes: - 2 - 3 - 19 central_character: '912.449' coefficient_field: CDF conductor: 912 conductor_radical: 114 conjugate: '1113612902458501232587807918871' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 1.0 - 1.4142135623730951 - - - 1.0 - 0 - - 1.224744871391589 - -0.7071067811865476 - - 2.5 - -4.330127018922194 - - - 1.0 - 0 - - 4.449489742783178 - 0 - - 7.0 - 0 - - - 1.0 - 0 - - 0 - 0.31783724519578227 - - -11.0 - 0 - - - 1.0 - 0 - - 3.0 - 1.7320508075688772 - - 6.5 - 11.258330249197702 - - - 1.0 - 0 - - -5.449489742783178 - 3.1462643699419726 - - 8.5 - -14.722431864335457 - - - 1.0 - 0 - - -4.174234614174767 - -1.255294939775204 - - - 1.0 - 0 - - -6.123724356957945 - -3.5355339059327378 - - 11.5 - 19.91858428704209 - - - 1.0 - 0 - - -1.224744871391589 - 2.1213203435596424 - - -14.5 - -25.11473670974872 - - - 1.0 - 0 - - 0 - -4.242640687119285 - - -31.0 - 0 - - - 1.0 - 0 - - 0 - -0.7785390719815306 - - -37.0 - 0 - - - 1.0 - 0 - - -1.5 - -2.598076211353316 - - -20.5 - 35.50704155516198 - - - 1.0 - 0 - - -0.4494897427831781 - -0.7785390719815306 - - -21.5 - 37.239092362730865 - - - 1.0 - 0 - - 5.573214099741123 - 3.2176966607369555 - - 23.5 - 40.703193977868615 - - - 1.0 - 0 - - -0.5505102572168219 - 0.9535117355873467 - - -26.5 - -45.89934640057525 - - - 1.0 - 0 - - -3.275255128608411 - -5.672908290500305 - - -29.5 - 51.09549882328188 - - - 1.0 - 0 - - -3.224744871391589 - 5.585421958697397 - - -30.5 - -52.827549630850754 - - - 1.0 - 0 - - -5.174234614174767 - -2.987345747344081 - - 33.5 - 58.023702053557386 - - - 1.0 - 0 - - -3.0 - -5.196152422706632 - - -35.5 - 61.48780366869514 - - - 1.0 - 0 - - -5.398979485566356 - -9.351306778023009 - - -36.5 - 63.21985447626402 - - - 1.0 - 0 - - 7.3484692283495345 - -4.242640687119285 - - 39.5 - -68.41600689897065 - - - 1.0 - 0 - - 0 - 14.1742437057468 - - -83.0 - 0 - - - 1.0 - 0 - - 8.449489742783179 - -14.63494553253255 - - -44.5 - -77.07626093681505 - - - 1.0 - 0 - - 11.848469228349535 - -6.840716898472601 - - 48.5 - -84.00446416709055 - - - 1.0 - 0 - - -8.573214099741124 - -4.949747468305833 - - 50.5 - 87.4685657822283 - - - 1.0 - 0 - - 0 - 11.949382989376325 - - -103.0 - 0 - - - 1.0 - 0 - - -4.898979485566356 - 0 - - 107.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 54.5 - -94.39676901250381 - - - 1.0 - 0 - - 0.7979589711327124 - 0 - - 113.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 17050254 index: 7 label: 2-912-57.50-c1-0-7 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/912/2/bn/g/449/1 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 0.7424709005648868 - 0.6558366192076895 - 0.5238788760218994 - 0.3398867757420229 - 0.09601001131295259 - -0.21457460388085298 - -0.5954722292029376 - -1.0451349238473275 - -1.5553669941970643 - -2.1104156835628265 - -2.6867855315861395 - -3.2539035922166684 - -3.77572196138777 - -4.213265461639227 - -4.528020267107266 - -4.685926710460934 - -4.661605391548255 - -4.442332644114939 - -4.031213187456544 - -3.448995954641212 - -2.7340590849127913 - -1.940257287534656 - -1.132571389031546 - -0.38080314887478 - 0.24811862527950168 - 0.698359999216183 - 0.93285786275844 - 0.9392935816487092 - 0.7332938147928023 - 0.3580572123762436 - -0.11995495435648988 - -0.6190619740052921 - -1.0533242440794364 - -1.3450370738989395 - -1.4369569095333106 - -1.3022881025665167 - -0.950598899655556 - -0.42830761810041007 - 0.18685294613820352 - 0.7970192576969867 - 1.299638163492319 - 1.6048835002671769 - 1.6521802799502052 - 1.4228342368283275 - 0.9461630265138988 - 0.2974472774088229 - -0.4126457511216392 - -1.0559702818830188 - -1.5094653409800085 - -1.6785690353088127 - -1.5171622233462978 - -1.0399801821573167 - -0.32450076717597226 - 0.498928367582752 - 1.2677993077493823 - 1.8158856366441192 - 2.0045466366514555 - 1.7510683557170772 - 1.0483381229537103 - -0.0285775850352293 - -1.3311155220158246 - -2.6604416663786097 - -3.801552894419013 - -4.562170029893776 - -4.8090021044782745 - -4.49406817276098 - -3.665394978994063 - -2.4593276503617973 - -1.0753607829430925 - 0.2619208436797336 - 1.3463055109731417 - 2.0299028011103104 - 2.251091612248525 - 2.0442940911946224 - 1.529179738728668 - 0.8813788219316823 - 0.29097832520959316 - -0.0819860896148103 - -0.14488344501520864 - 0.10610333999853667 - 0.5858245601662957 - 1.1417115748038638 - 1.5923021197886982 - 1.7737767650710468 - 1.5832920305079348 - 1.0082871293249809 - 0.13400652411021793 - -0.8734038233493318 - -1.8048694131097667 - -2.4586426006451116 - -2.690585560402627 - -2.4516954976611376 - -1.802780751704839 - -0.9015968747144323 - 0.035380917124050004 - 0.7877252922656998 - 1.18883997014947 - 1.1718009914868763 - 0.7906810244390786 - 0.21056491207454472 - -0.33267784804191136 - -0.5938108711796262 - -0.3857564888931026 - 0.36423790885234386 - 1.5851815344538565 - 3.0688345623729028 - 4.512341952806969 - 5.587807393423836 - 6.0221613699506245 - 5.667271751532215 - 4.541962071008724 - 2.8342035006329835 - 0.8616739159494069 - -1.0003852876721628 - -2.406373090061584 - -3.120665156492205 - -3.07057749216802 - -2.3583623184607503 - -1.2293082982887291 - -0.004628076875210996 - 1.0027851755007624 - 1.5670931166933233 - 1.6017321409844545 - 1.1715764656102738 - 0.4627920664400291 - -0.2799041281581923 - -0.8296334791398923 - -1.044653409534555 - -0.9066567191561274 - -0.5189042622391302 - -0.065189798131331 - 0.25732852150539054 - 0.310111452619789 - 0.06678831842878338 - -0.36978174906395667 - -0.7940370054669358 - -0.9613750825737603 - -0.6704162292488639 - 0.16149112843557656 - 1.454128173421111 - 2.9678037577361644 - 4.356620069268828 - 5.258678962373326 - 5.398265259943926 - 4.670060098743816 - 3.179345749468586 - 1.2241535805844996 - -0.7779411468665681 - -2.3990735254551523 - -3.315698701589838 - -3.3953385818140838 - -2.7296552164137364 - -1.6034397037790726 - -0.40803579658978034 - 0.4755060803115443 - 0.7888152450098863 - 0.4703752006435822 - -0.33095299447007753 - -1.3071306378240564 - -2.091072096730487 - -2.3746994851793204 - -2.0081734970807643 - -1.0492295427125617 - 0.25297443232055095 - 1.5345628855800235 - 2.4301203846190034 - 2.686607335137831 - 2.2419228064326164 - 1.2432066783838436 - -0.0007799553499680467 - -1.1176843970301875 - -1.788243877335865 - -1.8438831705647916 - -1.313834525001382 - -0.4070712800406596 - 0.5640517552270014 - 1.2921793460687003 - 1.5784352983006154 - 1.3958322854071172 - 0.8911623403790027 - 0.32509740066269116 - -0.02825820668215599 - 0.013335751709023425 - 0.46807676198088893 - 1.178040751409462 - 1.8634321145861383 - 2.225832497872164 - 2.0648957846821836 - 1.3665977221794068 - 0.32932845194342714 - -0.6855032666069901 - -1.2657412529448004 - -1.0883151009636114 - -0.039869304559575804 - 1.7243778140101307 - 3.807100912746277 - 5.676371110499612 - 6.8224485751710064 - 6.914433884567394 - 5.9057702067108195 - 4.053114602972915 - 1.840900710438167 - -0.16514790972850027 - -1.4886462535212313 - -1.8821897071180977 - -1.3910875109337957 - -0.32162780538742186 - 0.8736936421349781 - 1.7538312507588545 - 2.0356713898365824 - 1.6799846248447206 - 0.8891909664388767 - 0.02038182146301837 - -0.5533673589474069 - -0.5827017343780057 - -0.0325146240310854 - 0.9084708805968031 - 1.9011307290262516 - 2.5841929812049886 - 2.709305874534222 - 2.2327523611510958 - 1.3299726600371098 - 0.3279204784588189 - -0.4189502576938205 - -0.6620316219021014 - -0.3505226365935217 - 0.35325753405163884 - 1.141439762007965 - 1.6854598543937311 - 1.7699893417605912 - 1.3831534580521663 - 0.725887585347676 - 0.1337232613271063 - -0.06165362430015736 - 0.3210390637647853 - 1.215822143241859 - 2.303877591938414 - 3.1079762917576046 - 3.1579506846665004 - 2.1697528881146857 - 0.17238101432224784 - -2.46720770229542 - -5.136162943847125 - -7.158028597666939 - -8.005118971627427 - -7.468305446190127 - -5.724910847854429 - -3.2803552125140243 - -0.8033378507808366 - 1.0882777167588178 - 2.016754965879352 - 1.9445746155279426 - 1.153844711473497 - 0.11747204381318412 - -0.68676891386322 - -0.9489633909225802 - -0.6235885045399182 positive_zeros: - '0.54173279679225945125661524937478' - '2.94692178253096914489981787083724' - '3.71998252168772947833781714596035' - '4.71287191328126203410730842913522' - '5.67740555386351421032890242367347' - '6.54991283251128320069479648101876' - '7.37206463465624849193679809174255' - '8.599156119294980781457460622198254' - '9.587482360145861487947927988514634' - '9.836959773301188898734791113188790' prelabel: 2-912-57.50-c1-0 primitive: true rational: false root_analytic_conductor: 2.698584196266771 root_angle: -0.07176805218599522 root_number: 0.9746900369061594 - 0.22356057782147037*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.035884026093' prec: 50 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '0.54173279679225945125661524937' prec: 103 z2: __RealLiteral__: 0 data: '2.94692178253096914489981787084' prec: 103 z3: __RealLiteral__: 0 data: '3.71998252168772947833781714596' prec: 103 - - algebraic: true analytic_conductor: 7.282356664340774 bad_primes: - 2 - 3 - 19 central_character: '57.50' conductor: 912 conductor_radical: 114 degree: 2 id: 17050254 index: 7 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/912/2/bn/g/449/1 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: 2-912-57.50-c1-0-7 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: 2-912-57.50-c1-0 primitive: true rational: false root_analytic_conductor: 2.698584196266771 root_angle: -0.03588402609299761 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '0.54173279679225945125661524937' prec: 103 - - Lhash: '686727905017025120724151587460' Lhash_array: - '686727905017025120724151587460' id: 17416358 label: 2-912-57.50-c1-0-7 type: CMF url: ModularForm/GL2/Q/holomorphic/912/2/bn/g/449/1 label_cols: - label - label - label labels: - 2-912-57.50-c1-0-7 - 2-912-57.50-c1-0-7 - 2-912-57.50-c1-0-7 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-19T00:06:02.184141'