data: - - Lhash: '742073136618813510356576172953' a10: - -1.1248444488869593 - 1.4659258262890682 a2: - 0.25881904510252074 - 0.9659258262890683 a3: - 0.0 - 0.0 a4: - -0.8660254037844386 - 0.5 a5: - 1.1248444488869593 - 1.4659258262890682 a6: - 0.0 - 0.0 a7: - 0.0 - 0.0 a8: - -0.7071067811865476 - -0.7071067811865476 a9: - -0.9659258262890683 - 0.25881904510252074 accuracy: 100 algebraic: true analytic_conductor: 1.6628846220931641 analytic_normalization: __RealLiteral__: 0 data: '0.0' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - -0.25881904510252074 - -0.9659258262890683 - - 7 - - - 1.0 - 0 - - 0 - 0 - - 17 - - - 1.0 - 0 - - 0.9659258262890683 - 0.25881904510252074 bad_primes: - 2 - 7 - 17 central_character: '3332.2627' coefficient_field: CDF conductor: 3332 conductor_radical: 238 conjugate: '2586467241365166792590801381657' degree: 2 euler_factors: - - - 1.0 - 0 - - -0.25881904510252074 - -0.9659258262890683 - - - 1.0 - 0 - - 0 - 0 - - 0.9659258262890683 - -0.25881904510252074 - - - 1.0 - 0 - - -1.1248444488869593 - -1.4659258262890682 - - -0.25881904510252074 - 0.9659258262890683 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -0.25881904510252074 - -0.9659258262890683 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0.9659258262890683 - 0.25881904510252074 - - - 1.0 - 0 - - 0 - 0 - - 0.8660254037844386 - -0.5 - - - 1.0 - 0 - - 0 - 0 - - 0.9659258262890683 - 0.25881904510252074 - - - 1.0 - 0 - - 0.7071067811865476 - -1.7071067811865475 - - -0.7071067811865476 - -0.7071067811865476 - - - 1.0 - 0 - - 0 - 0 - - 0.9659258262890683 - -0.25881904510252074 - - - 1.0 - 0 - - 1.4659258262890682 - -1.1248444488869593 - - 0.25881904510252074 - -0.9659258262890683 - - - 1.0 - 0 - - 0.2928932188134525 - 0.7071067811865476 - - -0.7071067811865476 - 0.7071067811865476 - - - 1.0 - 0 - - 0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - 0 - - -0.5 - -0.8660254037844386 - - - 1.0 - 0 - - -1.3660254037844386 - -0.36602540378443865 - - 0.8660254037844386 - 0.5 - - - 1.0 - 0 - - 0 - 0 - - 0.8660254037844386 - 0.5 - - - 1.0 - 0 - - -0.7588190451025207 - -0.09990042250462965 - - 0.9659258262890683 - 0.25881904510252074 - - - 1.0 - 0 - - 0 - 0 - - 0.5 - -0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - -0.7071067811865476 - -0.7071067811865476 - - - 1.0 - 0 - - -1.831951230073507 - 0.24118095489747923 - - 0.9659258262890683 - -0.25881904510252074 - - - 1.0 - 0 - - 0 - 0 - - 0.9659258262890683 - 0.25881904510252074 - - - 1.0 - 0 - - 0 - 0 - - 0 - 1.0 - - - 1.0 - 0 - - 1.7320508075688772 - 1.0 - - 0.5 - 0.8660254037844386 - - - 1.0 - 0 - - -0.7071067811865476 - 1.7071067811865475 - - -0.7071067811865476 - -0.7071067811865476 - - - 1.0 - 0 - - -1.0 - -1.7320508075688772 - - -0.5 - 0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - 0.5 - 0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - 0.25881904510252074 - -0.9659258262890683 - - - 1.0 - 0 - - 0.4659258262890683 - -0.6072063586819179 - - -0.25881904510252074 - -0.9659258262890683 - - - 1.0 - 0 - - -0.7071067811865476 - 0.2928932188134525 - - 0.7071067811865476 - -0.7071067811865476 gamma_factors: - [] - - 0 group: GL2 id: 19539641 index: 1 label: 2-3332-476.247-c0-0-1 leading_term: '1.142440303253082383134282038658' load_key: CMFs-workshop motivic_weight: 0 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 0 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/3332/1/bp/b/2627/1 plot_delta: __RealLiteral__: 0 data: '0.05078125' prec: 34 plot_values: - 1.1424403032530823 - 1.0397234119384036 - 0.9452869862347427 - 0.8560540861445414 - 0.7690415803372507 - 0.6815784878484337 - 0.5914616290952038 - 0.4970430176497637 - 0.3972591044028305 - 0.29161862006875017 - 0.1801652148979251 - 0.0634270538567993 - -0.05763908641440252 - -0.1817053918538459 - -0.3071308850851709 - -0.4320195846139577 - -0.5542795094271773 - -0.6716831746071736 - -0.7819300327323511 - -0.8827109881163024 - -0.9717747310837686 - -1.0469952571712882 - -1.106439580272589 - -1.1484343366355918 - -1.1716297193814345 - -1.1750589887117844 - -1.1581916772088565 - -1.1209785573315922 - -1.0638864628763012 - -0.9879211599255058 - -0.8946366461255526 - -0.7861295185300213 - -0.6650173860155248 - -0.5344007062755451 - -0.39780789091698004 - -0.2591240339182566 - -0.12250416483882953 - 0.007727507435163962 - 0.12719033009338587 - 0.23156934565600662 - 0.3167437550537663 - 0.3789181810899589 - 0.41475284744419627 - 0.42148852856059105 - 0.39706198511946145 - 0.34020759312690757 - 0.2505410131915665 - 0.12862103719733076 - -0.02401380572042813 - -0.20483670672616391 - -0.4103541846545841 - -0.6361590668904257 - -0.8770150998588743 - -1.1269723992777843 - -1.3795118576416618 - -1.6277155228394584 - -1.8644588863913694 - -2.0826200135239774 - -2.2752995517397245 - -2.436044910230042 - -2.559071347351965 - -2.6394723710566796 - -2.6734117753164433 - -2.6582898244794557 - -2.5928765685195034 - -2.477406026853338 - -2.3136260075753117 - -2.104799612260909 - -1.8556559824064802 - -1.5722895298481643 - -1.2620087080326585 - -0.9331372631901953 - -0.5947727869758724 - -0.2565092031849505 - 0.0718685130648909 - 0.3807076376860081 - 0.6608181151953315 - 0.903798374431537 - 1.1023444165533587 - 1.250530082505744 - 1.3440469068232963 - 1.3803929387212015 - 1.359001349190794 - 1.2813015143147906 - 1.1507075210240683 - 0.9725316143206872 - 0.7538229099833309 - 0.5031346348569238 - 0.23022611759724712 - -0.0542913816809638 - -0.33935326494166584 - -0.613870560838893 - -0.8671733416561566 - -1.0894513551358067 - -1.2721739465415238 - -1.4084713527400199 - -1.4934601871616144 - -1.52449741091253 - -1.5013492794913552 - -1.4262646138013215 - -1.303945185037594 - -1.141409913220056 - -0.9477538204773133 - -0.7338070931044266 - -0.5117040155421295 - -0.2943757601740972 - -0.0949848627903661 - 0.0736774956611238 - 0.19980771109738138 - 0.27319408858519467 - 0.28578316844456925 - 0.2321822664584791 - 0.11007388270726744 - -0.07947984184781727 - -0.3318608810259721 - -0.6388610553073513 - -0.9887982189201621 - -1.3667854942836342 - -1.7551498792215725 - -2.1339901545676416 - -2.4818577571025857 - -2.776538427905533 - -2.9959072667935143 - -3.1188255701418908 - -3.1260447237586306 - -3.001080646447666 - -2.7310219655285017 - -2.3072363271779532 - -1.7259420126882525 - -0.9886162903630965 - -0.1022175582734385 - 0.9207948627455409 - 2.062651690917218 - 3.3006754360288326 - 4.607884312691299 - 5.953781084917366 - 7.3053014528573605 - 8.627889240401213 - 9.886659443215516 - 11.047605457241557 - 12.078803780298468 - 12.951568349362045 - 13.641507550260208 - 14.129439836058529 - 14.402128746670208 - 14.45280477689857 - 14.281449749434055 - 13.894828792397757 - 13.306265312081434 - 12.535165055604942 - 11.606306009630632 - 10.5489210042593 - 9.395609021619341 - 8.181118915794803 - 6.941055158485063 - 5.710559030627206 - 4.523020171423412 - 3.408872462290817 - 2.394524863793767 - 1.501472151206398 - 0.7456227320634837 - 0.1368712025970011 - -0.32106757538163383 - -0.630557832671921 - -0.7996827030224032 - -0.8416433260807353 - -0.7739471072445009 - -0.6174246900817651 - -0.39512307812457936 - -0.1311280155196395 - 0.1506280971778876 - 0.42751599479956404 - 0.6792625457166531 - 0.8888573655361128 - 1.0432708053396162 - 1.1339505235361949 - 1.1570749520559447 - 1.1135541831673241 - 1.0087815314361013 - 0.852151630803023 - 0.6563727714276598 - 0.43661165676491887 - 0.20951732186025093 - -0.007822856601214883 - -0.19893864918848464 - -0.3489869886288484 - -0.4456619452539472 - -0.4799553781681351 - -0.44672688186846204 - -0.34505178633284167 - -0.1783278277195517 - 0.04586592384947555 - 0.3161508911030757 - 0.6179514582153753 - 0.9342858259658033 - 1.2467024998461396 - 1.5363113859072004 - 1.7848528954493386 - 1.9757459159409447 - 2.095056164551697 - 2.1323303038028234 - 2.081248093129115 - 1.940054434844144 - 1.7117449552878374 - 1.403992121403368 - 1.0288131135632226 - 0.601994983232309 - 0.14230622903350226 - -0.3294639356309429 - -0.7915873684785493 - -1.2225413414398074 - -1.6021528819066724 - -1.9126799362289275 - -2.139769086637194 - -2.2732358652897173 - -2.307623115269131 - -2.242504857287794 - -2.08251708751973 - -1.8371120909618435 - -1.5200483617478404 - -1.1486432004511697 - -0.7428286494896255 - -0.3240628389044658 - 0.08584263303972921 - 0.4659134916193412 - 0.7971545101169096 - 1.063577329933327 - 1.2530556985407755 - 1.3579590513981867 - 1.375527895851347 - 1.307969220053666 - 1.1622663125845099 - 0.9497140090836804 - 0.6852065100214448 - 0.3863195830170942 - 0.07224129002792738 - -0.23738539433199943 - -0.5236391682566496 - -0.769445811002466 - -0.9605847592858041 - -1.0865160160376024 - -1.1409771102954283 - -1.1223135302262048 - -1.0335221167907405 - -0.8820043913305694 - -0.6790446524740242 - -0.4390448316078544 - -0.17856348133045058 - 0.0847810835669268 - 0.33347438938910023 - 0.5512621441125735 - 0.7242249577688304 - 0.8417013884019395 - 0.8969980318934553 - 0.8878381515548887 - 0.8165164045458344 - 0.6897456267228622 positive_zeros: - '0.58539248629331278947778383125439' - '1.87578948984808099513278947037631' - '2.43011682657594202268918753012581' - '3.74648874306236670675154747445595' - '4.50990933550106358646456071087471' - '5.41002486286836278034573531181023' - '5.71905655997961533965453186554696' - '6.60694446302236595815407365992197' - '8.189322803013431255270351322053908' - '8.605806865736493017659059497601221' prelabel: 2-3332-476.247-c0-0 primitive: true rational: false root_analytic_conductor: 1.2895288372476066 root_angle: 0.9249734719753893 root_number: -0.97235046162651564808834420690209 + 0.23352640059466921035269707481208*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.46248673598769463' prec: 64 spectral_label: c0-0 types: - CMF z1: __RealLiteral__: 0 data: '0.58539248629331278947778383125' prec: 103 z2: __RealLiteral__: 0 data: '1.87578948984808099513278947038' prec: 103 z3: __RealLiteral__: 0 data: '2.43011682657594202268918753013' prec: 103 - - algebraic: true analytic_conductor: 1.6628846220931641 bad_primes: - 2 - 7 - 17 central_character: '476.247' conductor: 3332 conductor_radical: 238 degree: 2 id: 19539641 index: 1 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/3332/1/bp/b/2627/1 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: 2-3332-476.247-c0-0-1 motivic_weight: 0 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 0 order_of_vanishing: 0 prelabel: 2-3332-476.247-c0-0 primitive: true rational: false root_analytic_conductor: 1.2895288372476066 root_angle: 0.46248673598769463 self_dual: false spectral_label: c0-0 z1: __RealLiteral__: 0 data: '0.58539248629331278947778383125' prec: 103 - - Lhash: '742073136618813510356576172953' Lhash_array: - '742073136618813510356576172953' id: 19906625 label: 2-3332-476.247-c0-0-1 type: CMF url: ModularForm/GL2/Q/holomorphic/3332/1/bp/b/2627/1 label_cols: - label - label - label labels: - 2-3332-476.247-c0-0-1 - 2-3332-476.247-c0-0-1 - 2-3332-476.247-c0-0-1 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-19T07:27:17.621090'