data: - - Lhash: '3017868522959957485507703458201' a10: - -3.2057370639048863 - -1.1667928701453092 a2: - 2.379385241571817 - -0.8660254037844386 a3: - -0.5 - -0.41954981558864 a4: - 3.379385241571817 - -2.8356409098088546 a5: - -1.032088886237956 - -0.8660254037844386 a6: - -1.5530334192387472 - -0.565257937423568 a7: - 0.0 - 0.0 a8: - 3.053033419238747 - -5.288008999327243 a9: - -0.4469665807612529 - -2.5348734434479843 accuracy: 100 algebraic: true analytic_conductor: 7.434072428181207 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 7 - - - 1.0 - 0 - - 0 - 0 - - 19 - - - 1.0 - 0 - - -3.298133329356934 - -2.849967814166494 bad_primes: - 7 - 19 central_character: '931.814' coefficient_field: CDF conductor: 931 conductor_radical: 133 conjugate: '1188875285941554164695739091077' degree: 2 euler_factors: - - - 1.0 - 0 - - -2.379385241571817 - 0.8660254037844386 - - 1.532088886237956 - -1.2855752193730787 - - - 1.0 - 0 - - 0.5 - 0.41954981558864 - - 0.520944533000791 - 2.9544232590366244 - - - 1.0 - 0 - - 1.032088886237956 - 0.8660254037844386 - - 0.8682408883346517 - 4.924038765061041 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 1.1847925309040954 - 0 - - 11.0 - 0 - - - 1.0 - 0 - - 2.553033419238747 - 0.9292281716897705 - - 9.958577760546714 - 8.35623892592501 - - - 1.0 - 0 - - -0.6736481776669303 - 3.8204486628210628 - - -15.974774553360442 - -5.814342436536369 - - - 1.0 - 0 - - -3.298133329356934 - -2.849967814166494 - - - 1.0 - 0 - - -4.758770483143634 - -1.7320508075688772 - - 17.619022191736494 - 14.784115022790404 - - - 1.0 - 0 - - 3.564177772475912 - -2.990700254334797 - - 5.03579715234098 - -28.559424837354033 - - - 1.0 - 0 - - -1.9187480877851173 - 3.3233691749694514 - - -15.5 - -26.846787517317598 - - - 1.0 - 0 - - -2.053033419238747 - 3.5559581917583656 - - -18.5 - -32.04293994002423 - - - 1.0 - 0 - - -9.383255634833636 - 3.415225751590062 - - 31.4078221678781 - -26.354291997148113 - - - 1.0 - 0 - - 1.5111443532371651 - -8.570125497331896 - - -40.406782693794064 - -14.706866163003756 - - - 1.0 - 0 - - -0.09967022542739219 - -0.565257937423568 - - -44.16555317693769 - 16.07494673630643 - - - 1.0 - 0 - - -2.2549000898818132 - 1.8920858337614448 - - 9.203353416347309 - -52.194810909647025 - - - 1.0 - 0 - - 0.6834483574305563 - -3.8760282441435003 - - -55.44186462636859 - -20.179188456214455 - - - 1.0 - 0 - - -4.245099910118187 - -1.545090008769151 - - 46.728711030257664 - 39.2100441908789 - - - 1.0 - 0 - - -3.6527036446661394 - -1.3294754012541459 - - 51.32497768897153 - 43.066769848998135 - - - 1.0 - 0 - - 1.2043928904313475 - -6.830451503180124 - - -66.71817607579949 - -24.28343017612248 - - - 1.0 - 0 - - -4.694592710667721 - -3.939231012048832 - - 12.676316969685915 - 71.89096596989118 - - - 1.0 - 0 - - -1.703210844116605 - 9.659388695214234 - - -74.23571704208676 - -27.01959132272783 - - - 1.0 - 0 - - 6.159100257716242 - 10.667874575275096 - - -41.5 - 71.88010851410841 - - - 1.0 - 0 - - 1.8584407085710257 - -1.5594169131267905 - - 15.4546878123568 - -87.64789001808651 - - - 1.0 - 0 - - -5.645429684690795 - -4.737077966261314 - - 16.843873233692243 - 95.52635204218419 - - - 1.0 - 0 - - -0.37685902178353525 - -2.137273718799878 - - -94.90895469937675 - 34.544034475892545 - - - 1.0 - 0 - - -6.237825950142843 - -10.80423147441901 - - -51.5 - 89.20061658979718 - - - 1.0 - 0 - - 6.680044790717033 - 0 - - 107.0 - 0 - - - 1.0 - 0 - - 8.883255634833636 - -3.233240634456961 - - 83.49884429996861 - -70.06384945583278 - - - 1.0 - 0 - - -1.3104597289088415 - 0 - - 113.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 17514708 index: 59 label: 2-931-133.16-c1-0-59 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/931/2/x/a/814/1 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 3.2697578754990517 - 3.671669655186335 - 4.091817174163186 - 4.527646929018177 - 4.968018585137992 - 5.3937833691325565 - 5.779420294206901 - 6.0953574963657005 - 6.310723116795667 - 6.396365848532118 - 6.32799937306235 - 6.0892754856351115 - 5.6745201952497695 - 5.090812511389321 - 4.359071636701458 - 3.5138584679656 - 2.601695902320471 - 1.6778647251109728 - 0.8018239925500051 - 0.03161427828661013 - -0.5822006670269737 - -1.0023468134033107 - -1.2096270556170499 - -1.2059335532275512 - -1.0148851548203255 - -0.6797535902935075 - -0.2586970920207262 - 0.1822767551184643 - 0.5778047124929352 - 0.8719892961203921 - 1.026246954130901 - 1.0249026533243053 - 0.8774876950134876 - 0.6171401403746856 - 0.29510501331152933 - -0.02800161822635962 - -0.29287605051344834 - -0.4524068800365004 - -0.4808066974678071 - -0.379195647785123 - -0.1763353280700562 - 0.0759884516290124 - 0.31245176903979144 - 0.46706813958953725 - 0.48715947373359514 - 0.3456816548035094 - 0.049220512289073856 - -0.3604156964727097 - -0.8119740140935103 - -1.2174349902154336 - -1.4896143372777964 - -1.5614402280566841 - -1.40292206568956 - -1.0318482400889064 - -0.5151215141074432 - 0.040717108930724805 - 0.5090659634056058 - 0.7699537009379132 - 0.7389340793085781 - 0.39216872354519755 - -0.21826839292644531 - -0.9634928533704886 - -1.6534497969537076 - -2.0679666136460773 - -1.9986854943591028 - -1.2945001112866523 - 0.09848285531319233 - 2.111319133558268 - 4.547801495734182 - 7.104444852143682 - 9.413403538018045 - 11.102014710504259 - 11.858713009130023 - 11.492912917329944 - 9.976718089345907 - 7.459129431187149 - 4.248378660849352 - 0.7642037213542099 - -2.5319386769747814 - -5.215889924781599 - -6.973826441415271 - -7.654839208010226 - -7.292409766000707 - -6.090365937880289 - -4.376252996365859 - -2.53194381726035 - -0.9161846896020146 - 0.20451819350127926 - 0.7021855945758898 - 0.6015221428030648 - 0.05994854561763175 - -0.6807208875442438 - -1.3587834521451239 - -1.757657350141015 - -1.7559673966170624 - -1.3512479300881108 - -0.6525319135065861 - 0.1550768384731803 - 0.8637838650207036 - 1.3000330699154303 - 1.3699862364361468 - 1.081864466921211 - 0.5398173134786832 - -0.0882906092159729 - -0.6197538311540749 - -0.9087025089945708 - -0.8861052246241988 - -0.5770192468602701 - -0.09050826525777508 - 0.41454614625581426 - 0.7775952628997567 - 0.8843504023890356 - 0.7003430540886741 - 0.28015845778895787 - -0.25043578706392194 - -0.7341207493198697 - -1.0313989087762052 - -1.0645091005108576 - -0.8420599875664099 - -0.4562258118026989 - -0.05273045733610301 - 0.21752924013841743 - 0.2501638578118802 - 0.025479959199468306 - -0.3801127994643911 - -0.8148226914463155 - -1.0995273637587648 - -1.0890752900201288 - -0.7273316768943818 - -0.07689190374276318 - 0.6890234744473303 - 1.3338198222123818 - 1.6326707881491973 - 1.4541242909158605 - 0.8223734230552285 - -0.06230515905586104 - -0.8568126448437048 - -1.1587204388378811 - -0.6207583101232217 - 0.9343813181167541 - 3.432903392927521 - 6.52990541280259 - 9.66280486879804 - 12.170471347287092 - 13.450981031778726 - 13.117921636865201 - 11.112738534882016 - 7.740077192536316 - 3.612394592246322 - -0.48573994222615363 - -3.780923574178118 - -5.695002648692474 - -5.981696513937111 - -4.779384552970376 - -2.565910188819467 - -0.02773839460537226 - 2.120923204643028 - 3.3200280461487885 - 3.2979642115071472 - 2.123574096074767 - 0.16492322073815757 - -2.029854599919813 - -3.8929627833769453 - -4.991712603935001 - -5.134474615271592 - -4.400818649818432 - -3.0923656617491235 - -1.6244187461695456 - -0.3948657228792589 - 0.3286291253762432 - 0.47045379577684737 - 0.1432743709421099 - -0.4142731465783334 - -0.9331338986913992 - -1.2083437190432498 - -1.1610117436778182 - -0.849465688901124 - -0.4299508571678994 - -0.08491250643078198 - 0.05259335860726667 - -0.050118733152771114 - -0.3171358817742554 - -0.5999549634320227 - -0.7423717637406106 - -0.6480571366237329 - -0.32376263376379943 - 0.11945926945163303 - 0.508357103943167 - 0.677183247369404 - 0.5378982646505315 - 0.12256416178774893 - -0.4206420263365099 - -0.8789743773326476 - -1.0566998643196779 - -0.8562721518986448 - -0.32676831186631644 - 0.34224456897787303 - 0.8836229588184963 - 1.0526854667771521 - 0.7287601406403221 - -0.020988372559319048 - -0.9437018472085587 - -1.6746726414183275 - -1.8621105551035055 - -1.301105692604698 - -0.027842917865335978 - 1.6646619834684913 - 3.3027989173597994 - 4.3818583740900285 - 4.542020222928233 - 3.7105779344525867 - 2.157076169372852 - 0.4343736266049105 - -0.7836170401595962 - -0.9201352517168327 - 0.30028715432465447 - 2.7316976854429647 - 5.816524853291501 - 8.730232247120908 - 10.620990598641596 - 10.871108062436498 - 9.296687015710907 - 6.219190956192441 - 2.382396008495062 - -1.2621854464651845 - -3.835310444405025 - -4.787468988280567 - -4.05271392574015 - -2.0513567866812066 - 0.4567944890262363 - 2.6186942847729497 - 3.752646433144165 - 3.546245576242679 - 2.1271857477658234 - -0.009576119725964498 - -2.186726206838448 - -3.7743084330154506 - -4.385565865099081 - -3.976184735237139 - -2.8209844145911873 - -1.3859616194723159 - -0.14877042171659688 - 0.5649334029753875 - 0.6725182674778122 - 0.32660921905014395 - -0.17929366556138035 - -0.5481451045486917 - -0.6028158068832975 - -0.348181980112167 - 0.04846124590817215 - 0.34518468649217265 - 0.34105665921553835 - -0.03031079988420408 - -0.6682440641031203 - -1.345893529196259 - -1.8058898315008052 - -1.8694369079072453 positive_zeros: - '2.38067849486018991153373815827377' - '3.32279538663931539322575522255476' - '4.36355547332581799406137214644116' - '5.08805943876810696858105585511346' - '5.76661505909285630454998548721513' - '6.86551893139328428678369094492914' - '7.45987575217444379018649296502587' - '8.242788263524469782971585529339487' - '9.652756176176143863969827882449367' - '10.84628286631017003236126132690032' prelabel: 2-931-133.16-c1-0 primitive: true rational: false root_analytic_conductor: 2.7265495462546077 root_angle: 0.706804810856552 root_number: -0.604944746140653 + 0.7962674513734823*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.353402405428' prec: 47 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '2.38067849486018991153373815827' prec: 103 z2: __RealLiteral__: 0 data: '3.32279538663931539322575522255' prec: 103 z3: __RealLiteral__: 0 data: '4.36355547332581799406137214644' prec: 103 - - algebraic: true analytic_conductor: 7.434072428181207 bad_primes: - 7 - 19 central_character: '133.16' conductor: 931 conductor_radical: 133 degree: 2 id: 17514708 index: 59 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/931/2/x/a/814/1 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: 2-931-133.16-c1-0-59 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: 2-931-133.16-c1-0 primitive: true rational: false root_analytic_conductor: 2.7265495462546077 root_angle: 0.353402405428276 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '2.38067849486018991153373815827' prec: 103 - - Lhash: '3017868522959957485507703458201' Lhash_array: - '3017868522959957485507703458201' id: 17880787 label: 2-931-133.16-c1-0-59 type: CMF url: ModularForm/GL2/Q/holomorphic/931/2/x/a/814/1 label_cols: - label - label - label labels: - 2-931-133.16-c1-0-59 - 2-931-133.16-c1-0-59 - 2-931-133.16-c1-0-59 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-24T23:55:55.466674'