data: - - Lhash: '1754311081570258869917348696999' a10: - 1.0 - 0.0 a2: - 0.0 - 1.0 a3: - 1.0 - 0.0 a4: - -1.0 - 0.0 a5: - 0.0 - -1.0 a6: - 0.0 - 1.0 a7: - 0.0 - -1.0 a8: - 0.0 - -1.0 a9: - 1.0 - 0.0 accuracy: 100 algebraic: true analytic_conductor: 4.359831950361911 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0 - -1.0 - - 3 - - - 1.0 - 0 - - -1.0 - 0 - - 7 - - - 1.0 - 0 - - 0 - 1.0 - - 13 - - - 1.0 - 0 - - -3.0 - 2.0 bad_primes: - 2 - 3 - 7 - 13 central_character: '546.337' coefficient_field: CDF conductor: 546 conductor_radical: 546 conjugate: '1671465874022995070861357591544' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 1.0 - - -5.0 - 0 - - - 1.0 - 0 - - 0 - 1.0 - - - 1.0 - 0 - - 0 - -3.0 - - -11.0 - 0 - - - 1.0 - 0 - - -3.0 - 2.0 - - - 1.0 - 0 - - -7.0 - 0 - - 17.0 - 0 - - - 1.0 - 0 - - 0 - -3.0 - - -19.0 - 0 - - - 1.0 - 0 - - -1.0 - 0 - - 23.0 - 0 - - - 1.0 - 0 - - 1.0 - 0 - - 29.0 - 0 - - - 1.0 - 0 - - 0 - 8.0 - - -31.0 - 0 - - - 1.0 - 0 - - 0 - 1.0 - - -37.0 - 0 - - - 1.0 - 0 - - 0 - -4.0 - - -41.0 - 0 - - - 1.0 - 0 - - 5.0 - 0 - - 43.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -47.0 - 0 - - - 1.0 - 0 - - 6.0 - 0 - - 53.0 - 0 - - - 1.0 - 0 - - 0 - -10.0 - - -59.0 - 0 - - - 1.0 - 0 - - 13.0 - 0 - - 61.0 - 0 - - - 1.0 - 0 - - 0 - 8.0 - - -67.0 - 0 - - - 1.0 - 0 - - 0 - -6.0 - - -71.0 - 0 - - - 1.0 - 0 - - 0 - 13.0 - - -73.0 - 0 - - - 1.0 - 0 - - 12.0 - 0 - - 79.0 - 0 - - - 1.0 - 0 - - 0 - -2.0 - - -83.0 - 0 - - - 1.0 - 0 - - 0 - -12.0 - - -89.0 - 0 - - - 1.0 - 0 - - 0 - -6.0 - - -97.0 - 0 - - - 1.0 - 0 - - -14.0 - 0 - - 101.0 - 0 - - - 1.0 - 0 - - 1.0 - 0 - - 103.0 - 0 - - - 1.0 - 0 - - -2.0 - 0 - - 107.0 - 0 - - - 1.0 - 0 - - 0 - -7.0 - - -109.0 - 0 - - - 1.0 - 0 - - 10.0 - 0 - - 113.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 11171844 index: 8 label: 2-546-13.12-c1-0-8 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/546/2/c/c/337/2 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 1.7792744137381933 - 1.7553774336082812 - 1.7208338441359132 - 1.6705875490807158 - 1.597313051674626 - 1.4929925447021397 - 1.3504772382642927 - 1.16485434125092 - 0.9345456185314363 - 0.6621044768766798 - 0.3546733970822535 - 0.02404602805000206 - -0.3137278314041743 - -0.6392407048366133 - -0.9311377166997946 - -1.1679904063743103 - -1.3305174289479607 - -1.4039644089978103 - -1.380392101687509 - -1.2605783721099237 - -1.0552263880653805 - -0.7851978333028321 - -0.48056103612988865 - -0.1783592947630748 - 0.08084276148828438 - 0.25740152736146016 - 0.31761488860744586 - 0.23875656112690827 - 0.013457580955244781 - -0.3472578699462453 - -0.812906252489201 - -1.3349006258457887 - -1.8505142419624916 - -2.289297531976913 - -2.581420541904977 - -2.6670562208361246 - -2.5056377540462726 - -2.0836709792257806 - -1.41980524820353 - -0.5660868871128596 - 0.3952652303529269 - 1.3596483585621766 - 2.2118492971229884 - 2.8405574879883124 - 3.1538131200602177 - 3.0932354252801844 - 2.6448193018899633 - 1.8443710881276876 - 0.7762731561511366 - -0.4348381848624112 - -1.638840345029431 - -2.6796336198188824 - -3.416793905680234 - -3.746213001549276 - -3.6164766125088583 - -3.038162509665194 - -2.084177305700878 - -0.8805769918783986 - 0.4111593830782152 - 1.6179587846108812 - 2.581478436930482 - 3.1826955183161774 - 3.360604621007803 - 3.1216712915909075 - 2.5381384761376244 - 1.7351560126108392 - 0.868687253373089 - 0.09788208570935232 - -0.44324751424134273 - -0.6697072309123904 - -0.5604573334160208 - -0.16143574795370616 - 0.42413745494393434 - 1.0565593696951263 - 1.587721393125773 - 1.8910851636694146 - 1.8876291722557679 - 1.5624564942362988 - 0.9684753985124767 - 0.21609251609190103 - -0.5492885452168765 - -1.1775697560346288 - -1.5458800395667545 - -1.5853750417496668 - -1.2970285335785703 - -0.7526818215913594 - -0.08067025552957342 - 0.5613204521548861 - 1.0206162418232603 - 1.1837786880542749 - 1.0030793349500746 - 0.5090414912431815 - -0.19425617243448054 - -0.9506693888662755 - -1.586008161172145 - -1.9473027178554267 - -1.9385393985697466 - -1.5445463123582084 - -0.8371048433750602 - 0.03875971328390668 - 0.8958272043512506 - 1.5464400079392928 - 1.8455606228015036 - 1.7250428610508501 - 1.2107155169704154 - 0.4176423877988477 - -0.47603152202791205 - -1.27106147866554 - -1.795264356196287 - -1.9463074645252325 - -1.718399205483188 - -1.2056516674998035 - -0.5803296121036841 - -0.05035327394627292 - 0.19419957123905138 - 0.03261772181945838 - -0.5500309503341397 - -1.45162875723195 - -2.4711298468413903 - -3.3531731596422305 - -3.849476248929719 - -3.782555337592987 - -3.095936327141606 - -1.8775279040195068 - -0.34879581651984665 - 1.1795115090632224 - 2.376006557851732 - 2.9661244034844896 - 2.799945608882867 - 1.8934729699885366 - 0.43226476201164155 - -1.2648814960762005 - -2.814814378862486 - -3.855916913682954 - -4.130852247798954 - -3.54631182049497 - -2.195140161293878 - -0.33518786152865043 - 1.6702117728143684 - 3.4357777825323863 - 4.641498403402644 - 5.102315949915685 - 4.803555262124944 - 3.894130944889395 - 2.6403606316352857 - 1.3532309992197713 - 0.3085743651044297 - -0.3189416847816946 - -0.49122256417315935 - -0.303331138396567 - 0.056274827553994 - 0.3694697825161451 - 0.45738513266305925 - 0.23467397429678982 - -0.2662309191759871 - -0.9073658571787869 - -1.4898154816948759 - -1.816994760154327 - -1.7575171527007585 - -1.2886343309736912 - -0.5069517620262198 - 0.3971550844644242 - 1.1940971235393802 - 1.682413503527781 - 1.748578156015535 - 1.400880769712121 - 0.7665420623472212 - 0.052249088626803844 - -0.5204535823467886 - -0.7854226140118431 - -0.6860194722239404 - -0.29558391711232906 - 0.20332428934983415 - 0.5759303702387778 - 0.6119763083991713 - 0.1987677634950273 - -0.6328099708663106 - -1.7053519680616671 - -2.738505944619616 - -3.428215769538089 - -3.5391601873236804 - -2.9826124741745628 - -1.8549063046752134 - -0.42239322647378785 - 0.9456868678188981 - 1.8791385817881894 - 2.114882757292824 - 1.579256390131308 - 0.4188540770938167 - -1.0315644100610393 - -2.3373419366748456 - -3.084688938072018 - -2.9997996342029523 - -2.0315282442959877 - -0.37252554734142773 - 1.5888281902621237 - 3.3731907519544877 - 4.5423053099370785 - 4.820395649047517 - 4.169610081301013 - 2.797412413500884 - 1.0937810783684443 - -0.4831248935217513 - -1.5388296699879271 - -1.8527585598443441 - -1.4343034523696065 - -0.5087893172610055 - 0.5611757685560235 - 1.3937677893285683 - 1.7083373482066184 - 1.4106809608559274 - 0.6170865979777809 - -0.38946238681686035 - -1.2560223161164095 - -1.6777233610573894 - -1.4988404183220243 - -0.7642711913901117 - 0.29508951310960335 - 1.3381374529966084 - 2.025686306601392 - 2.132251197310722 - 1.620854662777718 - 0.6562271598154662 - -0.4481200565527596 - -1.3318024947462472 - -1.7051712427434804 - -1.4440859161401727 - -0.6307257304176168 - 0.4729837761659507 - 1.5105586476851223 - 2.1466464350154126 - 2.175055632976306 - 1.5835935900496807 - 0.554662415232871 - -0.5979233293103111 - -1.5341013722626993 - -1.9989655146177099 - -1.9028481858372568 - -1.343486110582401 - -0.5637085785581883 - 0.1396564792863263 - 0.5231582168498254 - 0.4823810059338018 - 0.08568109743036091 - -0.4557375260856008 - -0.8704091085157187 - -0.9318330550477081 - -0.5478246230290028 - 0.19929280288150855 - 1.0775765149352632 - 1.7878360747784676 - 2.074519096136426 - 1.8246918296161228 - 1.1176073306639769 - 0.20406149249503136 - -0.5802976469177136 - -0.9390188586754195 positive_zeros: - '1.38390742784676669259892210014751' - '2.95746342164692720974343031467058' - '3.50561592638930415211628589898428' - '4.94946932056961628938788272652816' - '6.08086898664347684779911898669721' - '7.21011486025012968461358392794509' - '8.393621315860024309714270669955491' - '8.912382805672646779752354853771212' - '9.909433120286834848958008835898330' - '10.76478819585551596315768989103734' prelabel: 2-546-13.12-c1-0 primitive: true rational: false root_analytic_conductor: 2.0880210608042034 root_angle: -0.1871670418109988 root_number: 0.8320502943378437 - 0.554700196225229*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.0935835209055' prec: 54 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '1.38390742784676669259892210015' prec: 103 z2: __RealLiteral__: 0 data: '2.95746342164692720974343031467' prec: 103 z3: __RealLiteral__: 0 data: '3.50561592638930415211628589898' prec: 103 - - algebraic: true analytic_conductor: 4.359831950361911 bad_primes: - 2 - 3 - 7 - 13 central_character: '13.12' conductor: 546 conductor_radical: 546 degree: 2 id: 11171844 index: 8 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/546/2/c/c/337/2 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: 2-546-13.12-c1-0-8 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: 2-546-13.12-c1-0 primitive: true rational: false root_analytic_conductor: 2.0880210608042034 root_angle: -0.0935835209054994 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '1.38390742784676669259892210015' prec: 103 - - Lhash: '1754311081570258869917348696999' Lhash_array: - '1754311081570258869917348696999' id: 11537946 label: 2-546-13.12-c1-0-8 type: CMF url: ModularForm/GL2/Q/holomorphic/546/2/c/c/337/2 label_cols: - label - label - label labels: - 2-546-13.12-c1-0-8 - 2-546-13.12-c1-0-8 - 2-546-13.12-c1-0-8 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-24T20:09:27.021638'