data: - - Lhash: '3925179207975437619563224097543' a10: - -1.9665583283258226 - 0.46144326582971606 a2: - 0.8252589176415662 - 0.36742894294070005 a3: - -0.45368907530497227 - -1.6715759698407127 a4: - -0.7922129596813072 - -0.8798416274319346 a5: - -1.7809704669089803 - 1.3520888269629363 a6: - 0.23977443641166413 - -1.5461814729894474 a7: - -1.5326513899338492 - -2.6546300776564857 a8: - -0.8888076951007688 - -2.7354688109263186 a9: - -2.5883324458978385 - 1.5167515121180903 accuracy: 100 algebraic: true analytic_conductor: 1.7966340454788094 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 3 - - - 1.0 - 0 - - 0.45368907530497227 - 1.6715759698407127 - - 5 - - - 1.0 - 0 - - 1.7809704669089803 - -1.3520888269629363 bad_primes: - 3 - 5 central_character: '225.211' coefficient_field: CDF conductor: 225 conductor_radical: 15 conjugate: '829734964015605840645369567846' degree: 2 euler_factors: - - - 1.0 - 0 - - -0.8252589176415662 - -0.36742894294070005 - - 1.3382612127177165 - 1.4862896509547885 - - - 1.0 - 0 - - 0.45368907530497227 - 1.6715759698407127 - - - 1.0 - 0 - - 1.7809704669089803 - -1.3520888269629363 - - - 1.0 - 0 - - 1.5326513899338492 - 2.6546300776564857 - - -3.5 - 6.06217782649107 - - - 1.0 - 0 - - 1.2001587338196695 - 0.5343450952200889 - - 7.360436669947441 - 8.174593080251336 - - - 1.0 - 0 - - -4.564658370717753 - 2.0323168452772697 - - 8.698697882665156 - -9.660882731206126 - - - 1.0 - 0 - - -1.3605860865069703 - -4.187453399352208 - - -13.753288904374106 - 9.992349288972044 - - - 1.0 - 0 - - 1.0535608321505683 - 3.2425268285224647 - - -15.371322893124 - 11.16791979355699 - - - 1.0 - 0 - - 0.5958386908281444 - 5.669026460465817 - - -22.49739481687753 - 4.781968888808465 - - - 1.0 - 0 - - -6.435839399718674 - 1.3679798942646604 - - 26.492818271635425 - -11.795362649198205 - - - 1.0 - 0 - - 5.333442840900027 - 1.1336582721253046 - - 28.31990918692063 - 12.608835935349806 - - - 1.0 - 0 - - -5.90991655558113 - -4.293805714592649 - - 11.433628791873055 - 35.189091102920685 - - - 1.0 - 0 - - -1.4547722726468493 - 0.647706346373868 - - 27.434354860713185 - -30.468937844573162 - - - 1.0 - 0 - - 2.2416653284276022 - 3.8826782424021813 - - -21.5 - 37.239092362730865 - - - 1.0 - 0 - - -6.496586059034177 - 1.380891995301704 - - 42.936636509202245 - -19.116622224562608 - - - 1.0 - 0 - - 2.1802076584800534 - -6.709989218127467 - - -42.877900701872214 - -31.152618371501077 - - - 1.0 - 0 - - 3.2212947009699944 - -1.4342128047042249 - - 39.478705775172635 - -43.84554470316626 - - - 1.0 - 0 - - 11.201498388528615 - 4.987228401010281 - - 40.81696698789035 - 45.33183435412105 - - - 1.0 - 0 - - 5.3930757765027755 - 1.1463336438793146 - - 61.20754566205426 - 27.251355086078615 - - - 1.0 - 0 - - 2.0014797583478066 - -6.159921302256548 - - -57.440206600621266 - -41.73275291276559 - - - 1.0 - 0 - - -5.08448872630358 - 3.6940972928233604 - - 22.558240589371163 - -69.42712568954622 - - - 1.0 - 0 - - 2.7606672765651963 - -0.5867979442216422 - - 72.17009115376547 - -32.13219480298822 - - - 1.0 - 0 - - -8.072607787454968 - 8.965539236055088 - - -8.675862451215238 - -82.54531731556669 - - - 1.0 - 0 - - -5.992127881294097 - 4.353535739006821 - - 27.502512499370322 - -84.64402995026867 - - - 1.0 - 0 - - -16.650883693785943 - 3.5392545867185774 - - 88.61390939133229 - -39.45345437835262 - - - 1.0 - 0 - - 6.326913751712821 - 10.958536073072827 - - -50.5 - 87.4685657822283 - - - 1.0 - 0 - - -12.421081659397235 - -13.795008738641926 - - -10.766431716568308 - 102.43575522293216 - - - 1.0 - 0 - - 12.322096224495148 - 0 - - 107.0 - 0 - - - 1.0 - 0 - - 0.37230986338348526 - 0.2704989493439679 - - 33.68285238686927 - 103.66516027617173 - - - 1.0 - 0 - - 10.804585882899858 - -4.810511567946673 - - 75.61175851855097 - -83.97536527894555 gamma_factors: - [] - - 0 group: GL2 id: 9697329 index: 27 label: 2-15e2-225.211-c1-0-27 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/225/2/q/a/211/19 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 0.8879492140310944 - 1.0491977099558525 - 1.2232883444021703 - 1.413807875243817 - 1.6219469246883023 - 1.846404231770433 - 2.083482068567014 - 2.3272835470626645 - 2.5699672119505554 - 2.8020583927461944 - 3.0128397710569295 - 3.190845794656081 - 3.324474467898026 - 3.4027124061176184 - 3.4159490777985884 - 3.3568363892599025 - 3.2211320418263316 - 3.0084511746220377 - 2.722842533364699 - 2.3731045802023636 - 1.9727651100693746 - 1.5396660206480444 - 1.09512298173292 - 0.6626668347593286 - 0.2664173235205354 - -0.07081337703810305 - -0.32954463553280744 - -0.4955980833801435 - -0.5618092573483159 - -0.529267728318696 - -0.4078894098080033 - -0.21616598504952422 - 0.01999750984932715 - 0.2693583428705612 - 0.4982240394320149 - 0.6739443565739629 - 0.7686988714846575 - 0.7631923178456618 - 0.6498242369589073 - 0.43489903090168947 - 0.13949443615488785 - -0.20128741848854534 - -0.5408067597466709 - -0.8250384827331858 - -0.998106870767185 - -1.0087146057277063 - -0.8168061283760553 - -0.39969359010117433 - 0.24315532307904425 - 1.0873994379143215 - 2.0837367847285684 - 3.160744882180615 - 4.230611887289622 - 5.197353936447834 - 5.966756740608039 - 6.456982164132421 - 6.608590250225834 - 6.392681997386305 - 5.815990469330492 - 4.922038958073583 - 3.7879226440427063 - 2.5168089088199648 - 1.2268261226913753 - 0.03754417656583245 - -0.9443370484501868 - -1.6382525834005583 - -2.00016893121351 - -2.028565625220429 - -1.7649704480293147 - -1.2887173036236692 - -0.7063930824099194 - -0.13722379515176714 - 0.30369716636095967 - 0.5220223901907698 - 0.45819490289544407 - 0.0967750034839519 - -0.5304970350623344 - -1.348576583467174 - -2.249578644137998 - -3.1084554657951697 - -3.801649722974626 - -4.225930845051276 - -4.314484125566735 - -4.047647216792927 - -3.45644980677449 - -2.618208812123595 - -1.644699910617417 - -0.6646640857768824 - 0.196594841732903 - 0.8371905352162848 - 1.1948479248632025 - 1.2564878346347845 - 1.059431295841166 - 0.6838549388686127 - 0.23765274377975643 - -0.16375971130442266 - -0.41917815653751256 - -0.46096804999918456 - -0.2684380645532459 - 0.12740948323477935 - 0.6488917638498457 - 1.1857905908455701 - 1.6162672335430057 - 1.8308200328611344 - 1.7548338717711762 - 1.3653548675608602 - 0.6986401152293954 - -0.15335271299398645 - -1.0573322393512088 - -1.861601201577876 - -2.4235058254323243 - -2.636326167414937 - -2.4504248491791087 - -1.884373873087829 - -1.0235568176504348 - -0.006088273417645409 - 1.00163276518321 - 1.8352986548496302 - 2.3632343910619675 - 2.5111093616297935 - 2.275784642807447 - 1.7252727600574453 - 0.9844898946868551 - 0.20935542633692145 - -0.4457398239288378 - -0.8605422656672735 - -0.9748255141726576 - -0.8019250946142752 - -0.42666336892927265 - 0.012425822630248357 - 0.35334394239219175 - 0.4473325659851077 - 0.1943850007988423 - -0.43017743563983896 - -1.3642578441754696 - -2.4659199720532583 - -3.538193236193809 - -4.367391598618399 - -4.767495494552979 - -4.6214885933124785 - -3.9107422675559875 - -2.725642536259294 - -1.2542942170834614 - 0.24939357521126815 - 1.5125553089293406 - 2.2961100717442426 - 2.442782938505121 - 1.910406380134082 - 0.7832465144773237 - -0.7415380229087905 - -2.390098313976803 - -3.863789153963982 - -4.896389570955141 - -5.305020709807036 - -5.024320833505781 - -4.116871399292706 - -2.7578422530101343 - -1.1972777066598421 - 0.29180916547982727 - 1.4683816043326843 - 2.1696635484696754 - 2.339093137139132 - 2.030442855135222 - 1.387978693401759 - 0.6078954894832789 - -0.10960750916678423 - -0.6063113036274528 - -0.7994298821545388 - -0.6951242984151967 - -0.37958204441270915 - 0.009369394271617128 - 0.322442635820155 - 0.4403962159808162 - 0.30620444665080526 - -0.06029718824687368 - -0.568933102701593 - -1.085016814031885 - -1.467555126032695 - -1.6095457356327887 - -1.4693585665586786 - -1.0843331118441852 - -0.5622595325371113 - -0.05223509213526314 - 0.29797339411530255 - 0.3869538040831408 - 0.19474253653901719 - -0.20233889171046415 - -0.6426165863951954 - -0.9147609892277181 - -0.8106330051381285 - -0.18267188990454702 - 1.0087893054545791 - 2.6712483144431127 - 4.586705259660596 - 6.449837620306154 - 7.930354124874874 - 8.745766315357397 - 8.727517224567011 - 7.86421432958946 - 6.310597619007525 - 4.358769753681415 - 2.3772588996227166 - 0.7314539835585491 - -0.2961794855051766 - -0.5672359186302461 - -0.11517629259432166 - 0.866981161029177 - 2.07616154746188 - 3.1738777445434794 - 3.8677440929541267 - 3.9798716414951447 - 3.485455171568004 - 2.5123934119376794 - 1.302669457591565 - 0.1459429717232322 - -0.6971412048780407 - -1.0618924257700515 - -0.9194113021473536 - -0.37921103829358493 - 0.3455738909187123 - 1.0005968865414574 - 1.3631219443900024 - 1.3052323498814733 - 0.8299636211324196 - 0.07022076377571808 - -0.749506508486321 - -1.378349979190283 - -1.6133211561955496 - -1.361950488709585 - -0.6754630458776895 - 0.2575785778253571 - 1.156551651801738 - 1.7216428825469114 - 1.71516432936303 - 1.029438785022696 - -0.2774347349054802 - -1.9882960463618478 - -3.7752102515622963 - -5.2772455878493485 - -6.187645164134414 - -6.327655983090126 - -5.687786031493315 - -4.425992974081328 - -2.82389117548068 - -1.2133140608753703 - 0.10662419845397858 - 0.9396244897281666 - 1.2311221219525939 - 1.0667671138677108 - 0.6327532232082012 - 0.15101786708838086 - -0.19081708088280527 - -0.29389288250277024 - -0.17119964468461973 - 0.06671712167039978 - 0.2579716670106634 - 0.2522092920526488 positive_zeros: - '3.09642042315819788165892093404770' - '3.98990857748493558164377764428218' - '5.05229031085686535107303470501669' - '5.95745584678339964622949186032028' - '7.87927418867474041528973643558470' - '8.909033422255779173259826796163134' - '9.397916125458532665774480201211837' - '10.96897015839256085446553960322269' - '11.82008851321134251189877744488299' - '12.34005319199562804788125863994834' prelabel: 2-15e2-225.211-c1-0 primitive: true rational: false root_analytic_conductor: 1.3403857823323886 root_angle: 0.6889962494650052 root_number: -0.5594724921016458 + 0.8288489190326388*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.344498124733' prec: 47 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '3.09642042315819788165892093405' prec: 103 z2: __RealLiteral__: 0 data: '3.98990857748493558164377764428' prec: 103 z3: __RealLiteral__: 0 data: '5.05229031085686535107303470502' prec: 103 - - algebraic: true analytic_conductor: 1.7966340454788094 bad_primes: - 3 - 5 central_character: '225.211' conductor: 225 conductor_radical: 15 degree: 2 id: 9697329 index: 27 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/225/2/q/a/211/19 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: 2-15e2-225.211-c1-0-27 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: 2-15e2-225.211-c1-0 primitive: true rational: false root_analytic_conductor: 1.3403857823323886 root_angle: 0.3444981247325026 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '3.09642042315819788165892093405' prec: 103 - - Lhash: '3925179207975437619563224097543' Lhash_array: - '3925179207975437619563224097543' id: 10063355 label: 2-15e2-225.211-c1-0-27 type: CMF url: ModularForm/GL2/Q/holomorphic/225/2/q/a/211/19 label_cols: - label - label - label labels: - 2-15e2-225.211-c1-0-27 - 2-15e2-225.211-c1-0-27 - 2-15e2-225.211-c1-0-27 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-16T16:49:03.908285'