data: - - Lhash: '2550345943523087096792934957688' a10: - 1.2595105213686244 - -2.0032942418180195e-61 a2: - -0.5 - 0.8660254037844386 a3: - 1.5256871208655185 - 2.6425676097925566 a4: - -0.5 - -0.8660254037844386 a5: - -0.6297552606843122 - -1.090768107839012 a6: - -3.051374241731037 - -8.365999869889135e-61 a7: - -1.5256871208655185 - -2.6425676097925566 a8: - 1.0 - 0.0 a9: - -3.1554423815498307 - 5.465386525200445 accuracy: 100 algebraic: true analytic_conductor: 0.5908929749574752 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0.5 - -0.8660254037844386 - - 37 - - - 1.0 - 0 - - 1.3702447393156878 - -5.926417919314979 bad_primes: - 2 - 37 central_character: '74.47' coefficient_field: CDF conductor: 74 conductor_radical: 74 conjugate: '4726249230954150727421912463136' degree: 2 euler_factors: - - - 1.0 - 0 - - 0.5 - -0.8660254037844386 - - - 1.0 - 0 - - -1.5256871208655185 - -2.6425676097925566 - - -1.5 - 2.598076211353316 - - - 1.0 - 0 - - 0.6297552606843122 - 1.090768107839012 - - -2.5 - 4.330127018922194 - - - 1.0 - 0 - - 1.5256871208655185 - 2.6425676097925566 - - -3.5 - 6.06217782649107 - - - 1.0 - 0 - - -5.310884763099661 - 0 - - 11.0 - 0 - - - 1.0 - 0 - - 1.0 - 1.7320508075688772 - - -6.5 - 11.258330249197702 - - - 1.0 - 0 - - 2.551374241731037 - -4.419109815800675 - - -8.5 - -14.722431864335457 - - - 1.0 - 0 - - 2.3959318601812063 - 4.1498757133068604 - - -9.5 - 16.454482671904334 - - - 1.0 - 0 - - -1.7404894786313756 - 0 - - 23.0 - 0 - - - 1.0 - 0 - - 4.051374241731037 - 0 - - 29.0 - 0 - - - 1.0 - 0 - - 0.7918637203624126 - 0 - - 31.0 - 0 - - - 1.0 - 0 - - 1.3702447393156878 - -5.926417919314979 - - - 1.0 - 0 - - -0.10406813981879369 - -0.18025130561533245 - - -20.5 - 35.50704155516198 - - - 1.0 - 0 - - 4.362259004830698 - 0 - - 43.0 - 0 - - - 1.0 - 0 - - 3.2081362796375874 - 0 - - 47.0 - 0 - - - 1.0 - 0 - - 5.655442381549831 - -9.795513544122638 - - -26.5 - -45.89934640057525 - - - 1.0 - 0 - - -6.362259004830698 - 11.019755847279374 - - -29.5 - -51.09549882328188 - - - 1.0 - 0 - - 3.0256871208655185 - 5.240643821145873 - - -30.5 - 52.827549630850754 - - - 1.0 - 0 - - -4.655442381549831 - -8.063462736553761 - - -33.5 - 58.023702053557386 - - - 1.0 - 0 - - -3.5256871208655185 - -6.106669224930311 - - -35.5 - 61.48780366869514 - - - 1.0 - 0 - - 3.3108847630996614 - 0 - - 73.0 - 0 - - - 1.0 - 0 - - -5.706816623280868 - -9.884496341001121 - - -39.5 - 68.41600689897065 - - - 1.0 - 0 - - -1.7851976422341431 - 3.092053017901703 - - -41.5 - -71.88010851410841 - - - 1.0 - 0 - - 1.636421338812582 - -2.834364901413276 - - -44.5 - -77.07626093681505 - - - 1.0 - 0 - - -2.2081362796375874 - 0 - - 97.0 - 0 - - - 1.0 - 0 - - -3.362259004830699 - 0 - - 101.0 - 0 - - - 1.0 - 0 - - -17.154122725193112 - 0 - - 103.0 - 0 - - - 1.0 - 0 - - 0.18112950241534934 - 0.31372550093305474 - - -53.5 - 92.66471820493493 - - - 1.0 - 0 - - 0.23382340050310593 - -0.4049940096699057 - - -54.5 - -94.39676901250381 - - - 1.0 - 0 - - -0.3445576184501692 - 0.5967913012906246 - - -56.5 - -97.86087062764156 gamma_factors: - [] - - 0 group: GL2 id: 9593049 index: 1 label: 2-74-37.10-c1-0-1 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/74/2/c/c/47/3 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 0.9248786305970339 - 0.8873956175111367 - 0.8615627683432499 - 0.8441135112975537 - 0.8314403434423866 - 0.8198433012711682 - 0.80571978164273 - 0.7856926551464225 - 0.7566997494376673 - 0.7160726894096073 - 0.6616255133745956 - 0.5917628090136065 - 0.5056080402451242 - 0.4031462910687587 - 0.28537133793675146 - 0.15442407306427705 - 0.013707383053338624 - -0.13203852245942324 - -0.27671659753447797 - -0.4129247901746215 - -0.5320928318232326 - -0.6247143633132575 - -0.6806801281907645 - -0.689711931436823 - -0.6418897912135191 - -0.5282564972739242 - -0.34147507706424207 - -0.07650604875564464 - 0.26873647812285867 - 0.6927970115691766 - 1.190210141095056 - 1.7512027709157532 - 2.3616153125347594 - 3.003082342381834 - 3.6535010058341846 - 4.2877988693571165 - 4.8789925908327705 - 5.399505741882082 - 5.822689854542454 - 6.124469132589607 - 6.285008390335811 - 6.290287903991261 - 6.133460156637314 - 5.815863811251828 - 5.347581020268199 - 4.747445997973028 - 4.0424453424645925 - 3.266492548099597 - 2.458608062341806 - 1.660588656605041 - 0.9143015018805979 - 0.2587843239183397 - -0.27263162963293375 - -0.6549390044331218 - -0.8735743517411988 - -0.9258235190810121 - -0.8213379660713003 - -0.5816510512431422 - -0.2386638440936336 - 0.1678383683177367 - 0.593482745388903 - 0.9931733156338111 - 1.3252036902906874 - 1.5552488433493903 - 1.6598488702617595 - 1.6290167808010834 - 1.4676603076819428 - 1.1956022700400462 - 0.8461089136134398 - 0.4629806107066369 - 0.09641084222783362 - -0.20203811194833118 - -0.38487708561681844 - -0.4140068647785813 - -0.26534258329627136 - 0.06778677004360649 - 0.5729003621562844 - 1.21857449389764 - 1.9566898421382932 - 2.7265896127045854 - 3.4608010976289987 - 4.09177668492002 - 4.5589622677999015 - 4.815422285182207 - 4.833255863047831 - 4.607133437903705 - 4.155463195041542 - 3.518946295535435 - 2.756574077997204 - 1.9394265890701388 - 1.142913248350472 - 0.4383167379916409 - -0.11537125954927423 - -0.478321345935378 - -0.6345554359644672 - -0.5937945789737588 - -0.39013384005491153 - -0.07760089938723128 - 0.2769417172765424 - 0.602724361180952 - 0.8347222568843408 - 0.9227765982485392 - 0.8389380904247041 - 0.5819618727830275 - 0.17821257961878018 - -0.3213122858767318 - -0.8476168153533788 - -1.3232593347990411 - -1.6736383170136133 - -1.8385178401523457 - -1.782177916059424 - -1.5006707760388762 - -1.024977227228415 - -0.41935764511182433 - 0.2251781007188109 - 0.8016786766996944 - 1.2010986312017542 - 1.3274463636219873 - 1.1122082650379923 - 0.5260063556203123 - -0.41428561098572747 - -1.6442105638695392 - -3.05668828335807 - -4.5129286030845 - -5.858117514095562 - -6.939979611002544 - -7.627837715209255 - -7.829622290910055 - -7.504468255829993 - -6.669064038723618 - -5.396725533140342 - -3.8091500365613786 - -2.0618258937658056 - -0.3249844151761955 - 1.2373559642742202 - 2.487393406696896 - 3.3298347485520297 - 3.7222237379084397 - 3.6779021343187344 - 3.2612709016883112 - 2.576152902028287 - 1.7490835670678688 - 0.9101111052759915 - 0.17404983736760118 - -0.37496497842081544 - -0.6933179343481968 - -0.7807629952313296 - -0.6760395350830195 - -0.4462028942002512 - -0.1716577558353739 - 0.07040291190918709 - 0.22118826962204885 - 0.2514077123386896 - 0.16627350183797804 - 0.003485511921644721 - -0.17546004369794185 - -0.2990645734655052 - -0.30216981383297736 - -0.14174738420393335 - 0.1909695592666678 - 0.6645546667470673 - 1.2091497501816832 - 1.726045581796674 - 2.1037572627992076 - 2.2379914166987795 - 2.0520366999952535 - 1.513831168885893 - 0.646348231810153 - -0.4710404015413461 - -1.711073604446734 - -2.916106815161587 - -3.9220844940263317 - -4.585160753663453 - -4.806478949695173 - -4.550716226267146 - -3.854878896573081 - -2.8253774746925755 - -1.6233699048332997 - -0.4404060795832055 - 0.5318253252344297 - 1.132682033734133 - 1.2593896020091102 - 0.8847975884913284 - 0.06281391785319736 - -1.0796736331920358 - -2.3632447043645106 - -3.5854251053857378 - -4.55420823956983 - -5.119833955991128 - -5.199265079318454 - -4.789033622658806 - -3.964165532072309 - -2.863379465892574 - -1.6632435713066185 - -0.546004625147201 - 0.3330096248741094 - 0.8724087458738257 - 1.0411876995692104 - 0.8815788032592174 - 0.4978411778302788 - 0.03319928207523514 - -0.36057076297970275 - -0.5549577866987156 - -0.471666181591273 - -0.09932506233070793 - 0.5034641695147243 - 1.2195062620003922 - 1.8967310973040648 - 2.3796794731622426 - 2.5425523549334503 - 2.3171886079037725 - 1.7102126775362856 - 0.8056319052510938 - -0.2480171390299578 - -1.263817085942338 - -2.0510665436462547 - -2.4516992218731017 - -2.3714040610648146 - -1.799238147910696 - -0.811689749965332 - 0.4398444340359809 - 1.7559446610787681 - 2.9253327825805826 - 3.7633535478906177 - 4.145305047578964 - 4.028140107720238 - 3.4563608527958234 - 2.551085567943699 - 1.4846432084422907 - 0.4459551921053884 - -0.39620610439092135 - -0.9246240847556085 - -1.093430337172273 - -0.9324908159562638 - -0.5358736293835614 - -0.037266522526682416 - 0.422028543553817 - 0.7253555028377522 - 0.8060712492439619 - 0.6604627496885392 - 0.3454851644640174 - -0.037953418291995104 - -0.3721133441670794 - -0.5534606305632095 - -0.5201326769626438 - -0.26905162068869587 - 0.1418019748657254 - 0.6070386705198652 - 1.0007440049213392 - 1.21061571722226 - 1.171332815701853 - 0.8888631249588531 - 0.44905158913160187 - 0.007089573366841501 - -0.24131607572566352 - -0.10198189153199892 - 0.5709691385407774 positive_zeros: - '2.01186820963435793697241308306384' - '3.40537620758945713518790439201310' - '6.43184687677280413923488605372840' - '7.32487999167103792420946246588915' - '8.786493277731485260742185958817498' - '9.354247945384170293962122223821652' - '11.47030751830343735009271198998175' - '12.15275900688051499230355389307151' - '13.04654929620210168742045784337447' - '14.20592807727266602175310584177295' prelabel: 2-74-37.10-c1-0 primitive: true rational: false root_analytic_conductor: 0.7686956321961738 root_angle: -0.4744986764920295 root_number: 0.08002909696199592 - 0.9967925278810267*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.237249338246' prec: 50 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '2.01186820963435793697241308306' prec: 103 z2: __RealLiteral__: 0 data: '3.40537620758945713518790439201' prec: 103 z3: __RealLiteral__: 0 data: '6.43184687677280413923488605373' prec: 103 - - algebraic: true analytic_conductor: 0.5908929749574752 bad_primes: - 2 - 37 central_character: '37.10' conductor: 74 conductor_radical: 74 degree: 2 id: 9593049 index: 1 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/74/2/c/c/47/3 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: 2-74-37.10-c1-0-1 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: 2-74-37.10-c1-0 primitive: true rational: false root_analytic_conductor: 0.7686956321961738 root_angle: -0.23724933824601474 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '2.01186820963435793697241308306' prec: 103 - - Lhash: '2550345943523087096792934957688' Lhash_array: - '2550345943523087096792934957688' id: 9959081 label: 2-74-37.10-c1-0-1 type: CMF url: ModularForm/GL2/Q/holomorphic/74/2/c/c/47/3 label_cols: - label - label - label labels: - 2-74-37.10-c1-0-1 - 2-74-37.10-c1-0-1 - 2-74-37.10-c1-0-1 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-03-28T20:30:12.016275'