data: - - Lhash: '2025393072018577066959111788299' a10: - -19.559314719491994 - 103.00227443649884 a2: - -4.502208788738876 - -6.612875019430083 a3: - 11.022703842524301 - 11.022703842524301 a4: - -23.46023204520484 - 59.545088062619776 a5: - -9.2668913895906 - -9.2668913895906 a6: - 23.265248771326245 - -122.51827700228364 a7: - -320.3732064503815 - 0.0 a8: - 499.3870882788374 - -112.9448363599889 a9: - 0.0 - 243.0 accuracy: 100 algebraic: true analytic_conductor: 11.04259601375285 analytic_normalization: __RealLiteral__: 0 data: '3.0' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 4.502208788738876 - 6.612875019430083 - - 3 - - - 1.0 - 0 - - -11.022703842524301 - -11.022703842524301 bad_primes: - 2 - 3 central_character: '48.43' coefficient_field: CDF conductor: 48 conductor_radical: 6 conjugate: '778883754300442064095882962173' degree: 2 euler_factors: - - - 1.0 - 0 - - 4.502208788738876 - 6.612875019430083 - - - 1.0 - 0 - - -11.022703842524301 - -11.022703842524301 - - - 1.0 - 0 - - 9.2668913895906 - 9.2668913895906 - - 0 - 15625.0 - - - 1.0 - 0 - - 320.3732064503815 - 0 - - 117649.0 - 0 - - - 1.0 - 0 - - -1498.4925403678599 - 1498.4925403678599 - - 0 - -1771561.0 - - - 1.0 - 0 - - -2546.471543693318 - 2546.471543693318 - - 0 - -4826809.0 - - - 1.0 - 0 - - 7232.043656415582 - 0 - - 24137569.0 - 0 - - - 1.0 - 0 - - 4865.791146848081 - 4865.791146848081 - - 0 - 47045881.0 - - - 1.0 - 0 - - -12202.587169630564 - 0 - - 148035889.0 - 0 - - - 1.0 - 0 - - -9527.739223102024 - 9527.739223102024 - - 0 - -594823321.0 - - - 1.0 - 0 - - 0 - 13501.804689046403 - - -887503681.0 - 0 - - - 1.0 - 0 - - 964.1221425582268 - 964.1221425582268 - - 0 - 2565726409.0 - - - 1.0 - 0 - - 0 - -94673.70804218497 - - -4750104241.0 - 0 - - - 1.0 - 0 - - -61457.62735404798 - 61457.62735404798 - - 0 - -6321363049.0 - - - 1.0 - 0 - - 0 - 125324.67465308763 - - -10779215329.0 - 0 - - - 1.0 - 0 - - -92717.78288644609 - -92717.78288644609 - - 0 - 22164361129.0 - - - 1.0 - 0 - - 78971.18107474508 - -78971.18107474508 - - 0 - -42180533641.0 - - - 1.0 - 0 - - -14025.761138833752 - 14025.761138833752 - - 0 - -51520374361.0 - - - 1.0 - 0 - - 169382.05709012167 - 169382.05709012167 - - 0 - 90458382169.0 - - - 1.0 - 0 - - -239400.33715316383 - 0 - - 128100283921.0 - 0 - - - 1.0 - 0 - - 0 - -668709.6778614824 - - -151334226289.0 - 0 - - - 1.0 - 0 - - 0 - 572255.2306389442 - - -243087455521.0 - 0 - - - 1.0 - 0 - - 360997.5142915101 - 360997.5142915101 - - 0 - 326940373369.0 - - - 1.0 - 0 - - 0 - 101645.93630351902 - - -496981290961.0 - 0 - - - 1.0 - 0 - - 1299107.0046615375 - 0 - - 832972004929.0 - 0 - - - 1.0 - 0 - - -1183001.752061454 - -1183001.752061454 - - 0 - 1061520150601.0 - - - 1.0 - 0 - - 640195.7697961569 - 0 - - 1194052296529.0 - 0 - - - 1.0 - 0 - - -685435.9927876006 - 685435.9927876006 - - 0 - -1500730351849.0 - - - 1.0 - 0 - - 1306447.0905916947 - -1306447.0905916947 - - 0 - -1677100110841.0 - - - 1.0 - 0 - - 99366.87174364136 - 0 - - 2081951752609.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 11569782 index: 17 label: 2-48-16.11-c6-0-17 load_key: CMFs-workshop motivic_weight: 6 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 6 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/48/7/l/a/43/7 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 1.1146107776016643 - 1.278127257740665 - 1.4083472352995274 - 1.5009598181574997 - 1.5522006589535662 - 1.5589313434961916 - 1.5187308285719126 - 1.4299981233741292 - 1.292063667094393 - 1.105305089547461 - 0.8712613415529885 - 0.5927376432830499 - 0.27389242322567925 - -0.07970348790683149 - -0.46104558128645823 - -0.861722352932101 - -1.27199919833903 - -1.680967261008303 - -2.0767627061666003 - -2.446858860184923 - -2.778429913571683 - -3.058780534166832 - -3.275830941118443 - -3.4186419755664947 - -3.477959756434542 - -3.4467549664045243 - -3.3207280482050927 - -3.0987489957738497 - -2.7831993804521944 - -2.3801851009827204 - -1.8995913557222672 - -1.3549566655729999 - -0.7631504445773962 - -0.14384847049808247 - 0.48118769007915796 - 1.0890082347657157 - 1.6565169908105826 - 2.161611632846964 - 2.584364313615139 - 2.9081751767744803 - 3.1208250741394337 - 3.2153520607231565 - 3.19067964356613 - 3.0519337743742936 - 2.810400282487894 - 2.483094479302996 - 2.091939179779504 - 1.6625750467531024 - 1.2228561891884724 - 0.8011121963669388 - 0.4242828985879571 - 0.11605168849846166 - -0.10488505810822975 - -0.22627296061065463 - -0.243348601561378 - -0.15937274418426825 - 0.014430115944908907 - 0.25956225492271956 - 0.5515609378467743 - 0.8618595083636893 - 1.160084437422316 - 1.4166244265500507 - 1.6052704873963093 - 1.7057029514135067 - 1.7055961804578796 - 1.602126681636773 - 1.4027060858851335 - 1.1248158515818645 - 0.7948924282199491 - 0.44629486572542343 - 0.11647474213745376 - -0.1564471047788279 - -0.3374196484958928 - -0.3981861201584321 - -0.3206373050950197 - -0.09944312118836385 - 0.256347626140766 - 0.722975204191729 - 1.2630367806721392 - 1.8279606278383067 - 2.3617562521510362 - 2.805774477587795 - 3.1040912435667325 - 3.209037397528492 - 3.0863458663921404 - 2.7193859298009238 - 2.112006171073427 - 1.2896120896913987 - 0.29825473830887544 - -0.7983089175869758 - -1.923421566193568 - -2.9938355842630737 - -3.92699072643013 - -4.648591383040797 - -5.099745279749762 - -5.242928478373292 - -5.066122243331005 - -4.584622250387558 - -3.8402377636804217 - -2.8978580548397685 - -1.8396396233255816 - -0.7573312057529469 - 0.25652587926431064 - 1.1176339245791207 - 1.7582636947147625 - 2.133962901424854 - 2.2278892326547544 - 2.052246682628544 - 1.6466108084331414 - 1.0732722941925066 - 0.41007046185252516 - -0.2585111984795134 - -0.8509943031670129 - -1.298194648519948 - -1.5510617615870788 - -1.5861264064082132 - -1.407879091275097 - -1.0477592862628282 - -0.559842431337854 - -0.01372118085170971 - 0.5145626101522132 - 0.9524153609670601 - 1.240169684129714 - 1.3389203435769974 - 1.2356808504553465 - 0.9451486876812869 - 0.5077956735499484 - -0.015520966096658005 - -0.5517633348079721 - -1.0256761382616946 - -1.370187378872234 - -1.5358322030711267 - -1.4978824696544601 - -1.2601455725753177 - -0.8548296292938196 - -0.33840423470416925 - 0.21605371777554996 - 0.7290286043256138 - 1.1258608052384813 - 1.3475751430054197 - 1.3596665484347579 - 1.1575097396993597 - 0.7675049877185953 - 0.24366378201891076 - -0.34000304511332713 - -0.9002994684131299 - -1.3573525294350055 - -1.6469943097039337 - -1.7311410258371718 - -1.6045129001751623 - -1.2965157078302123 - -0.8677806379460552 - -0.4016423556296341 - 0.008385714483101324 - 0.2734215568536065 - 0.3241600028154331 - 0.12367204856376739 - -0.32401804814171375 - -0.971126147729893 - -1.729833096002031 - -2.482360856023618 - -3.0962583517821853 - -3.442917598373004 - -3.416758211474615 - -2.9522909916971014 - -2.036449678468066 - -0.7141558010795089 - 0.9140141444145524 - 2.702079051557543 - 4.4756819457321 - 6.0537233823433505 - 7.27167625484188 - 8.003317868829862 - 8.17774874435903 - 7.789171441691746 - 6.89790025434579 - 5.622324273427432 - 4.122868818125544 - 2.580193645236161 - 1.1707448883995364 - 0.04319926168623614 - -0.7007708770101374 - -1.0186176798911593 - -0.9301991955094009 - -0.5118429688296137 - 0.11777447039647577 - 0.8176404308168245 - 1.4471176183784697 - 1.887763468472045 - 2.060842179679469 - 1.9378401689332592 - 1.5424574887861322 - 0.9439580871932627 - 0.24318910969298388 - -0.4462140238480054 - -1.0181384182456685 - -1.3923005778936959 - -1.5274102008420438 - -1.4269739312580427 - -1.1368310779954984 - -0.7349847527171532 - -0.3156694505919236 - 0.029364547680064194 - 0.22885755975755293 - 0.24595982337664546 - 0.0854165049855512 - -0.20740335964369067 - -0.5555483948539757 - -0.8659912416370944 - -1.0487396936593893 - -1.0359411949759914 - -0.7972730578415521 - -0.34850614561454574 - 0.24867280144492152 - 0.8958989073058639 - 1.4750346081082637 - 1.8698391328735247 - 1.9884756322853123 - 1.7826042251737833 - 1.2592684065025863 - 0.4829708153145513 - -0.43294035591382174 - -1.3444908027940985 - -2.1019782553324893 - -2.577244681688052 - -2.688381345048018 - -2.417178136074091 - -1.8157596250136705 - -1.0006856664671209 - -0.13502282986719213 - 0.5988817075115449 - 1.031380545564768 - 1.0366691205807128 - 0.5574360319337672 - -0.38166680416704324 - -1.6745636995910056 - -3.148697277693898 - -4.592179022696284 - -5.788687284136071 - -6.554130542170666 - -6.768619038098745 - -6.39797548166674 - -5.5007692965396355 - -4.219382443820105 - -2.7564616059638753 - -1.340763931337929 - -0.18836843096732656 - 0.5338733098899816 - 0.7361201915569182 - 0.41958166829782806 - -0.3256796783729283 - -1.338714194495977 - -2.4180551989430508 - -3.358844172006365 - -3.989825071822342 - -4.203373608109248 - -3.973067175670685 positive_zeros: - '1.59775341222094066136884341808986' - '4.15370546942672452512336690907732' - '6.43398765749147827663945744536186' - '6.99143606372750268598805660782572' - '8.799293224283402680712141444447223' - '9.414770931688585603739472740918362' - '11.03485165835466561375944385729077' - '12.71693819010871780580629801464798' - '13.82578106152467092674876644661937' - '14.87812022835028875063571587998797' prelabel: 2-48-16.11-c6-0 primitive: true rational: false root_analytic_conductor: 3.3230401763675457 root_angle: 0.6139332953406165 root_number: -0.35033805016187264 + 0.9366233237586907*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.30696664767' prec: 44 spectral_label: c6-0 types: - CMF z1: __RealLiteral__: 0 data: '1.59775341222094066136884341809' prec: 103 z2: __RealLiteral__: 0 data: '4.15370546942672452512336690908' prec: 103 z3: __RealLiteral__: 0 data: '6.43398765749147827663945744536' prec: 103 - - algebraic: true analytic_conductor: 11.04259601375285 bad_primes: - 2 - 3 central_character: '16.11' conductor: 48 conductor_radical: 6 degree: 2 id: 11569782 index: 17 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/48/7/l/a/43/7 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: 2-48-16.11-c6-0-17 motivic_weight: 6 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 6 order_of_vanishing: 0 prelabel: 2-48-16.11-c6-0 primitive: true rational: false root_analytic_conductor: 3.3230401763675457 root_angle: 0.30696664767030823 self_dual: false spectral_label: c6-0 z1: __RealLiteral__: 0 data: '1.59775341222094066136884341809' prec: 103 - - Lhash: '2025393072018577066959111788299' Lhash_array: - '2025393072018577066959111788299' id: 11935806 label: 2-48-16.11-c6-0-17 type: CMF url: ModularForm/GL2/Q/holomorphic/48/7/l/a/43/7 label_cols: - label - label - label labels: - 2-48-16.11-c6-0-17 - 2-48-16.11-c6-0-17 - 2-48-16.11-c6-0-17 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-05-15T11:23:16.644281'