data: - - Lhash: '825788884999446905165304525521' a10: - 0 - 0 a2: - 0 - 0 a3: - 0 - 0 a4: - 0 - 0 a5: - 2.5 - 4.330127018922194 a6: - 0 - 0 a7: - -1.0 - 1.7320508075688772 a8: - 0 - 0 a9: - 0 - 0 accuracy: 100 algebraic: true analytic_conductor: 95.58309420929984 analytic_normalization: __RealLiteral__: 0 data: '1.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0 - 0 - - 3 - - - 1.0 - 0 - - 0 - 0 - - 5 - - - 1.0 - 0 - - -2.5 - -4.330127018922194 bad_primes: - 2 - 3 - 5 central_character: '1620.541' coefficient_field: CDF conductor: 1620 conductor_radical: 30 conjugate: '942178192745380645796110005506' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - -2.5 - -4.330127018922194 - - - 1.0 - 0 - - 1.0 - -1.7320508075688772 - - -171.5 - -297.04671349806245 - - - 1.0 - 0 - - -15.0 - 25.98076211353316 - - -665.5 - -1152.6798124370878 - - - 1.0 - 0 - - -2.0 - -3.4641016151377544 - - -1098.5 - 1902.6578121144116 - - - 1.0 - 0 - - 90.0 - 0 - - 4913.0 - 0 - - - 1.0 - 0 - - 28.0 - 0 - - 6859.0 - 0 - - - 1.0 - 0 - - -60.0 - -103.92304845413264 - - -6083.5 - 10536.931087845265 - - - 1.0 - 0 - - -105.0 - 181.86533479473212 - - -12194.5 - -21121.493572898675 - - - 1.0 - 0 - - -2.0 - -3.4641016151377544 - - -14895.5 - 25799.76280414221 - - - 1.0 - 0 - - -200.0 - 0 - - 50653.0 - 0 - - - 1.0 - 0 - - -120.0 - -207.84609690826528 - - -34460.5 - 59687.336854227295 - - - 1.0 - 0 - - -68.0 - 117.77945491468365 - - -39753.5 - -68855.08177868936 - - - 1.0 - 0 - - 60.0 - -103.92304845413264 - - -51911.5 - -89913.35549711177 - - - 1.0 - 0 - - -30.0 - 0 - - 148877.0 - 0 - - - 1.0 - 0 - - 225.0 - 389.7114317029974 - - -102689.5 - 177863.43140384424 - - - 1.0 - 0 - - -83.0 - 143.76021702821683 - - -113490.5 - -196571.31217639567 - - - 1.0 - 0 - - 454.0 - 786.3510666362703 - - -150381.5 - 260468.39851841913 - - - 1.0 - 0 - - -1020.0 - 0 - - 357911.0 - 0 - - - 1.0 - 0 - - 250.0 - 0 - - 389017.0 - 0 - - - 1.0 - 0 - - -458.0 - 793.2792698665457 - - -246519.5 - -426984.29905647587 - - - 1.0 - 0 - - 570.0 - -987.2689603142601 - - -285893.5 - -495182.06755369285 - - - 1.0 - 0 - - -420.0 - 0 - - 704969.0 - 0 - - - 1.0 - 0 - - 769.0 - -1331.9470710204666 - - -456336.5 - -790398.003348155 - - - 1.0 - 0 - - -225.0 - 389.7114317029974 - - -515150.5 - -892266.8395445109 - - - 1.0 - 0 - - -575.0 - -995.9292143521044 - - -546363.5 - 946329.3414011582 - - - 1.0 - 0 - - -1620.0 - 0 - - 1225043.0 - 0 - - - 1.0 - 0 - - 1702.0 - 0 - - 1295029.0 - 0 - - - 1.0 - 0 - - -675.0 - -1169.134295108992 - - -721448.5 - 1249585.457044355 gamma_factors: - [] - - 0 group: GL2 id: 23868605 index: 23 label: 2-1620-9.7-c3-0-23 leading_term: '2.097660147387762590099198237121883412619147685237661112' load_key: CMFs-workshop motivic_weight: 3 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 3 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/1620/4/i/i/541/1 plot_delta: __RealLiteral__: 0 data: '0.05078125' prec: 34 plot_values: - 2.0976601473877627 - 2.053574011652299 - 1.983397903924334 - 1.8880958605657883 - 1.7689233350830538 - 1.627419028492019 - 1.4653950519099046 - 1.2849251085763356 - 1.0883303392033734 - 0.8781624527604903 - 0.6571837664717802 - 0.4283438050032202 - 0.19475215969876528 - -0.04035261646361033 - -0.2736382053895085 - -0.5017178219986362 - -0.7211934902531784 - -0.9287030264559727 - -1.1209703034832799 - -1.294858209798334 - -1.447423558155573 - -1.5759730460462054 - -1.6781192284364377 - -1.7518353384648035 - -1.7955076886002812 - -1.8079843081496978 - -1.7886184273692685 - -1.7373054076727366 - -1.6545117447595854 - -1.5412948393319097 - -1.399312339921436 - -1.2308200146598 - -1.0386573029036892 - -0.8262199315574498 - -0.59741925152873 - -0.35662825251804453 - -0.10861454350476717 - 0.14153906516075404 - 0.3885253823682054 - 0.6269137020111867 - 0.8512590023940289 - 1.0562174322896527 - 1.2366657305672772 - 1.387821960566925 - 1.505364725672214 - 1.5855478788608652 - 1.6253076554415729 - 1.6223591524173215 - 1.5752791559565156 - 1.483572484295655 - 1.3477192687289552 - 1.1692009393087144 - 0.9505031109151366 - 0.6950940730633831 - 0.40737816396131327 - 0.09262394389787931 - -0.24313223960332245 - -0.5932059992789608 - -0.9504059627266843 - -1.307193432354838 - -1.6558572880183406 - -1.9887001660568484 - -2.298231423834585 - -2.5773619740197136 - -2.8195957667851492 - -3.0192125274811947 - -3.1714363356063546 - -3.272584767781378 - -3.320193628246614 - -3.3131127556565603 - -3.251569019967292 - -3.137193397965144 - -2.9730099250385784 - -2.763385343479305 - -2.5139393783428066 - -2.2314167407600802 - -1.9235231519697142 - -1.598728862855356 - -1.2660442753132037 - -0.934773314649449 - -0.6142511184178568 - -0.31357336065739855 - -0.04132508872195393 - 0.19468271520752248 - 0.3876605464247986 - 0.5320636335729398 - 0.6237833470958967 - 0.6602997752211305 - 0.640789444771269 - 0.5661833633438503 - 0.4391719670111099 - 0.2641551366095364 - 0.04713715112026316 - -0.2044317727905984 - -0.48186390682148267 - -0.7754871965962269 - -1.0749363456658567 - -1.3694734456399649 - -1.6483285308089184 - -1.9010494414105314 - -2.1178497067113056 - -2.289942844310125 - -2.4098515416396245 - -2.4716806532765423 - -2.4713438136407784 - -2.4067347150811695 - -2.2778357079998703 - -2.086758300343986 - -1.837712313148986 - -1.5369028197772585 - -1.192356482153272 - -0.8136814132898027 - -0.4117671526653375 - 0.0015663511337400138 - 0.4139597866722451 - 0.8129328439795576 - 1.1863158370362459 - 1.5226796374703928 - 1.8117485968336902 - 2.0447813030417654 - 2.2149047421631805 - 2.3173887129474813 - 2.349849140623605 - 2.312371210182768 - 2.2075459194458373 - 2.0404166526033536 - 1.81833559410403 - 1.5507331271213942 - 1.2488066684722832 - 0.9251385570553567 - 0.5932555107381299 - 0.2671446780052898 - -0.039256672941403864 - -0.3125793568352494 - -0.540529128871602 - -0.7123629067736607 - -0.819315750788024 - -0.8549614124919329 - -0.8154913822269425 - -0.6999001243352038 - -0.5100675008305413 - -0.2507331345582877 - 0.07063848201066456 - 0.4440991172814783 - 0.8575569544038717 - 1.2972045266083891 - 1.7480195061999526 - 2.1943202303077762 - 2.620355295908098 - 3.010904764877125 - 3.351869580192131 - 3.6308257684146175 - 3.837520917438585 - 3.96429226072811 - 4.006388420066014 - 3.962180370757704 - 3.8332513736533556 - 3.624360313404187 - 3.3432779123684324 - 3.0005004557104735 - 2.6088507552694358 - 2.182980884562579 - 1.7387955276513767 - 1.2928184082574137 - 0.8615270337051381 - 0.4606827636226357 - 0.10468389668808283 - -0.19403099549929478 - -0.42550387840288123 - -0.5826793345033644 - -0.6617088000283344 - -0.662122495627307 - -0.586859950504085 - -0.44215588077015794 - -0.23728430274237652 - 0.015830117098320284 - 0.30311861615255936 - 0.6089725999572498 - 0.916920855191895 - 1.2103513654652793 - 1.4732469613191204 - 1.690902907480461 - 1.8505947748019838 - 1.9421665815740528 - 1.9585121779074752 - 1.895927085679853 - 1.7543133350952878 - 1.5372260447800805 - 1.2517573187620605 - 0.9082601899260745 - 0.5199225130833782 - 0.10220758084819163 - -0.327815512703452 - -0.7522233964791673 - -1.1530393043847251 - -1.5130480037364857 - -1.816588219207779 - -2.0502863913830733 - -2.2036976450412062 - -2.269823466142909 - -2.2454806658781448 - -2.13150254302255 - -1.9327604781009629 - -1.6580021888274423 - -1.3195111922277891 - -0.9326002783459628 - -0.5149596213748113 - -0.08588716626057791 - 0.33456520837249043 - 0.7264918313167645 - 1.0710390229809539 - 1.3512749582860386 - 1.5529830556885298 - 1.6653412563217056 - 1.6814542781848885 - 1.5987122682515074 - 1.418956962780087 - 1.1484451661958373 - 0.797608680035091 - 0.38061932657532144 - -0.08522302989712739 - -0.580253001319823 - -1.083318828356775 - -1.572738311096576 - -2.0272875124532845 - -2.427176110296141 - -2.7549633231276283 - -2.9963705847881266 - -3.1409515252097515 - -3.1825861513474516 - -3.119774141754435 - -2.9557115097847313 - -2.698145123085279 - -2.3590102085220943 - -1.9538665108286486 - -1.501158694636094 - -1.0213353886608252 - -0.5358685189152275 - -0.06621988486239944 - 0.3671949926533179 - 0.7459950661425213 - 1.0547251444605108 - 1.281605876243895 - 1.419104273789674 - 1.4642952165785448 - 1.4189944511871613 - 1.2896547815636374 - 1.0870288786869353 - 0.8256138524186416 - 0.5229038330362512 - 0.19848673835288536 - -0.12697036296091435 - -0.4327967808519535 - -0.6994004891351262 - -0.9093020981819734 - -1.0480672973028131 - -1.1050891287696436 positive_zeros: - '0.65143256734211370247081735996263' - '1.85016471102593187683118742496148' - '2.80725673286772482099290753093494' - '4.17237863640150590573124367733272' - '4.68188998467233301478501893869064' - '5.73808956093631785789058529017175' - '6.69634879381948113470005802642207' - '7.20050436109476826106362353364168' - '8.446319392553720728857708284538042' - '8.883759943364357859218304927372712' prelabel: 2-1620-9.7-c3-0 primitive: true rational: false root_analytic_conductor: 9.776660688051921 root_angle: -0.1111111111111111 root_number: 0.939692620785908384054109277324731469936208134264464633 - 0.342020143325668733044099614682259580763083367514160629*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.05555555555555555' prec: 67 spectral_label: c3-0 types: - CMF z1: __RealLiteral__: 0 data: '0.65143256734211370247081735996' prec: 103 z2: __RealLiteral__: 0 data: '1.85016471102593187683118742496' prec: 103 z3: __RealLiteral__: 0 data: '2.80725673286772482099290753093' prec: 103 - - algebraic: true analytic_conductor: 95.58309420929984 bad_primes: - 2 - 3 - 5 central_character: '9.7' conductor: 1620 conductor_radical: 30 degree: 2 id: 23868605 index: 23 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/1620/4/i/i/541/1 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: 2-1620-9.7-c3-0-23 motivic_weight: 3 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 3 order_of_vanishing: 0 prelabel: 2-1620-9.7-c3-0 primitive: true rational: false root_analytic_conductor: 9.776660688051921 root_angle: -0.05555555555555555 self_dual: false spectral_label: c3-0 z1: __RealLiteral__: 0 data: '0.65143256734211370247081735996' prec: 103 - - Lhash: '825788884999446905165304525521' Lhash_array: - '825788884999446905165304525521' id: 24240155 label: 2-1620-9.7-c3-0-23 type: CMF url: ModularForm/GL2/Q/holomorphic/1620/4/i/i/541/1 label_cols: - label - label - label labels: - 2-1620-9.7-c3-0-23 - 2-1620-9.7-c3-0-23 - 2-1620-9.7-c3-0-23 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-24T08:20:10.232929'