data: - - Lhash: '1900247327140228155737495307718' a10: - 0.0 - 0.0 a2: - 0.0 - 0.0 a3: - -1.5 - 0.8660254037844386 a4: - 2.0 - 0.0 a5: - 0.0 - 0.0 a6: - 0.0 - 0.0 a7: - 2.0 - -1.7320508075688772 a8: - 0.0 - 0.0 a9: - 1.5 - -2.598076211353316 accuracy: 100 algebraic: true analytic_conductor: 2.1799159751809554 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 3 - - - 1.0 - 0 - - 1.5 - -0.8660254037844386 - - 7 - - - 1.0 - 0 - - -2.0 - 1.7320508075688772 - - 13 - - - 1.0 - 0 - - 1.0 - -3.4641016151377544 bad_primes: - 3 - 7 - 13 central_character: '273.269' coefficient_field: CDF conductor: 273 conductor_radical: 273 conjugate: '1970936678734852215230164964261' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 0 - - -2.0 - 0 - - - 1.0 - 0 - - 1.5 - -0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - -2.5 - 4.330127018922194 - - - 1.0 - 0 - - -2.0 - 1.7320508075688772 - - - 1.0 - 0 - - 0 - 0 - - 5.5 - -9.526279441628825 - - - 1.0 - 0 - - 1.0 - -3.4641016151377544 - - - 1.0 - 0 - - 0 - 0 - - 17.0 - 0 - - - 1.0 - 0 - - -7.5 - -4.330127018922194 - - 9.5 - 16.454482671904334 - - - 1.0 - 0 - - 0 - 0 - - -23.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 14.5 - 25.11473670974872 - - - 1.0 - 0 - - 7.5 - 4.330127018922194 - - 15.5 - 26.846787517317598 - - - 1.0 - 0 - - 11.0 - 0 - - 37.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -20.5 - -35.50704155516198 - - - 1.0 - 0 - - -4.0 - -6.928203230275509 - - -21.5 - 37.239092362730865 - - - 1.0 - 0 - - 0 - 0 - - -23.5 - 40.703193977868615 - - - 1.0 - 0 - - 0 - 0 - - 26.5 - 45.89934640057525 - - - 1.0 - 0 - - 0 - 0 - - 59.0 - 0 - - - 1.0 - 0 - - 13.5 - 7.794228634059948 - - 30.5 - 52.827549630850754 - - - 1.0 - 0 - - 5.5 - 9.526279441628825 - - -33.5 - 58.023702053557386 - - - 1.0 - 0 - - 0 - 0 - - 35.5 - -61.48780366869514 - - - 1.0 - 0 - - 12.0 - 6.928203230275509 - - 36.5 - 63.21985447626402 - - - 1.0 - 0 - - -6.5 - -11.258330249197702 - - -39.5 - 68.41600689897065 - - - 1.0 - 0 - - 0 - 0 - - 83.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 89.0 - 0 - - - 1.0 - 0 - - 4.5 - -2.598076211353316 - - 48.5 - -84.00446416709055 - - - 1.0 - 0 - - 0 - 0 - - -50.5 - 87.4685657822283 - - - 1.0 - 0 - - -3.0 - 1.7320508075688772 - - 51.5 - -89.20061658979718 - - - 1.0 - 0 - - 0 - 0 - - -107.0 - 0 - - - 1.0 - 0 - - -1.0 - 1.7320508075688772 - - -54.5 - -94.39676901250381 - - - 1.0 - 0 - - 0 - 0 - - 56.5 - -97.86087062764156 gamma_factors: - [] - - 0 group: GL2 id: 9784958 index: 10 label: 2-273-273.269-c1-0-10 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/273/2/r/a/269/1 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 1.318592759039293 - 1.3045274961872106 - 1.2902911367542016 - 1.27181345203748 - 1.2432615518610484 - 1.1978634881870756 - 1.128741772265416 - 1.0296848380783452 - 0.8958474745146963 - 0.7243928337243412 - 0.5150781267834973 - 0.270762898184592 - -0.0022033580358509527 - -0.29377204115618094 - -0.5902273709859148 - -0.8745166642832373 - -1.126920850522458 - -1.3260823516209395 - -1.4503745717172425 - -1.4795584258987455 - -1.3966297841407966 - -1.1897216125327816 - -0.8538909121823115 - -0.39259858112387536 - 0.18131489431707604 - 0.8453393695213527 - 1.5678331183016556 - 2.3094693213896944 - 3.025588472595568 - 3.6693569179133814 - 4.195528889213326 - 4.564512380444719 - 4.746360859397885 - 4.724265925280921 - 4.497121712239208 - 4.080777682357459 - 3.5076948418055127 - 2.824867295111284 - 2.090055329033049 - 1.3665800446336887 - 0.7171296415320093 - 0.1971973680606169 - -0.1511155330845517 - -0.3041645404813796 - -0.2599873959442092 - -0.03914308451487639 - 0.3171334121879742 - 0.7514407107014417 - 1.1970147754746718 - 1.5861179261732905 - 1.8590256822650253 - 1.9724519087139112 - 1.9062237568988565 - 1.6671525945134598 - 1.2893445811925783 - 0.8306297802573327 - 0.36531330824655756 - -0.02600138057444056 - -0.2682768527857804 - -0.3039986350336575 - -0.1034771555733274 - 0.32815961548696654 - 0.9485876947212646 - 1.6812501762965577 - 2.423650256777857 - 3.0601605208199105 - 3.4777880554344898 - 3.5827647048731994 - 3.315542920307513 - 2.6618401045549884 - 1.6578081264492655 - 0.38817174101302054 - -1.0228154432239493 - -2.4266485377602565 - -3.67010810684187 - -4.616302914076278 - -5.164078367381569 - -5.262745784593184 - -4.919682718745272 - -4.199383411355308 - -3.2138565425346077 - -2.105670618951316 - -1.0262024993798593 - -0.11252835543796708 - 0.5332646827734867 - 0.8588629702815519 - 0.8680353513361768 - 0.6172952937557429 - 0.20340933696365232 - -0.25611123928129076 - -0.6460746423086238 - -0.8760216816773809 - -0.8977791835894079 - -0.7147261246735676 - -0.38080221558719657 - 0.01081775269523207 - 0.3474675241752157 - 0.5215179854608111 - 0.4549620819560782 - 0.11909778771884635 - -0.45492094351964213 - -1.1772990359122442 - -1.9130152704271657 - -2.505468170927636 - -2.8062389825791314 - -2.705411216859194 - -2.156463459277433 - -1.1904942765448783 - 0.08363856024882843 - 1.494082836715983 - 2.8335816400833083 - 3.8951788231902738 - 4.509509459337181 - 4.576538887841679 - 4.085405514087156 - 3.118117524992488 - 1.8358873766150268 - 0.45028544370025697 - -0.8155213602471587 - -1.7680525020781004 - -2.2792282811874918 - -2.3093581292082446 - -1.9126723790794187 - -1.2241367868689692 - -0.430110987020533 - 0.27120523568299326 - 0.7113785599297618 - 0.7866999842378845 - 0.47908805257704856 - -0.14156010107714645 - -0.9341295969715063 - -1.718580305557772 - -2.316748457602827 - -2.5926664865372713 - -2.4833917125231677 - -2.0133235525466864 - -1.2885961442975715 - -0.4725923273077217 - 0.25204862227955965 - 0.726350872735009 - 0.8529506979401993 - 0.6201010873149926 - 0.10578776607388506 - -0.5394917477020783 - -1.1277675578140993 - -1.478641669614176 - -1.4639272539503683 - -1.041242531688604 - -0.2681902858840778 - 0.7069206842723069 - 1.6764260400703301 - 2.4200541365118946 - 2.7565108860271117 - 2.587827760972474 - 1.9257060421257937 - 0.8930043076699757 - -0.3008053650087013 - -1.4052399927917543 - -2.1853343068529765 - -2.4760591378334884 - -2.221717893249715 - -1.490629644381692 - -0.461044809369115 - 0.6189920527597301 - 1.488820761083883 - 1.9360870522548461 - 1.8469292832968538 - 1.2332512019302477 - 0.23020937679366849 - -0.9358608455445244 - -2.001669508461165 - -2.730419668414799 - -2.9691062235301695 - -2.6855900995852515 - -1.9761686203495654 - -1.0415389429842765 - -0.1368638942866106 - 0.49184467808000526 - 0.6692686601034934 - 0.3348646933271115 - -0.44165158326359316 - -1.4774301958631662 - -2.5220070198209203 - -3.319763543942325 - -3.673484629873824 - -3.4928169601079615 - -2.8152563696803923 - -1.7943652802097922 - -0.6584419346384488 - 0.34938353017850116 - 1.0337208158218558 - 1.295496460010225 - 1.1535587253748818 - 0.733550519241932 - 0.2271644851048725 - -0.16693907829281396 - -0.30404133478194295 - -0.13878888651973473 - 0.25822647343548566 - 0.7183402646975648 - 1.0232191684052085 - 0.97113395711771 - 0.4429142518024262 - -0.5512855489311294 - -1.8587693372995036 - -3.2103450638188953 - -4.280789084440585 - -4.769236782233055 - -4.478933920024584 - -3.3750609131895986 - -1.6043442812326532 - 0.5302784125471954 - 2.6350190464433174 - 4.315034200572841 - 5.266282398184365 - 5.346093690075512 - 4.604314440840293 - 3.2670007092211315 - 1.6769923897429426 - 0.20699854283178398 - -0.8320079088685096 - -1.2632309662032444 - -1.0788513018173576 - -0.42907644524270233 - 0.4301500904983508 - 1.2151661214924814 - 1.6959422383090441 - 1.757919304879912 - 1.4274701360216533 - 0.8548441323438886 - 0.26084009822611337 - -0.13606118762848432 - -0.18982899894310176 - 0.12696653775980232 - 0.7148990215135995 - 1.3797302697629321 - 1.8948538810106745 - 2.074802518806313 - 1.836793603101941 - 1.2305563787853384 - 0.4260675403461539 - -0.3383721522669844 - -0.832850648986056 - -0.9141882256457085 - -0.5812538196524561 - 0.011434273867647475 - 0.5886146389582855 - 0.8300327197648025 - 0.466606379393992 - -0.6306132052808668 - -2.3955740058239736 - -4.5646116285324485 - -6.729835273253641 - -8.43619313170362 - -9.296863424398127 - -9.095508099900748 - -7.84671265672759 positive_zeros: - '1.49903082663164853734163490937694' - '2.96282131225023266566178098366171' - '5.18736756205102008593806676804094' - '5.64101106934306220767374995500865' - '7.11526932273722673105108455124695' - '7.53654773184354997369529670452887' - '8.910111944363342481758103982555791' - '10.39319952387523364057149836898052' - '11.05492240262172909463277311833444' - '11.87147962314324408927532650214403' prelabel: 2-273-273.269-c1-0 primitive: true rational: false root_analytic_conductor: 1.4764538513549808 root_angle: -0.09270095969946383 root_number: 0.9578918159858807 - 0.28712935911757903*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.0463504798497' prec: 54 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '1.49903082663164853734163490938' prec: 103 z2: __RealLiteral__: 0 data: '2.96282131225023266566178098366' prec: 103 z3: __RealLiteral__: 0 data: '5.18736756205102008593806676804' prec: 103 - - algebraic: true analytic_conductor: 2.1799159751809554 bad_primes: - 3 - 7 - 13 central_character: '273.269' conductor: 273 conductor_radical: 273 degree: 2 id: 9784958 index: 10 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/273/2/r/a/269/1 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: 2-273-273.269-c1-0-10 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: 2-273-273.269-c1-0 primitive: true rational: false root_analytic_conductor: 1.4764538513549808 root_angle: -0.04635047984973192 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '1.49903082663164853734163490938' prec: 103 - - Lhash: '1900247327140228155737495307718' Lhash_array: - '1900247327140228155737495307718' id: 10151031 label: 2-273-273.269-c1-0-10 type: CMF url: ModularForm/GL2/Q/holomorphic/273/2/r/a/269/1 label_cols: - label - label - label labels: - 2-273-273.269-c1-0-10 - 2-273-273.269-c1-0-10 - 2-273-273.269-c1-0-10 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-03-28T19:14:08.425294'