data: - - Lhash: '1241746600042672651220752238858' a10: - 0.0 - 0.0 a2: - -0.8660254037844386 - 0.5 a3: - -0.8660254037844386 - 0.5 a4: - 0.5 - -0.8660254037844386 a5: - 0.0 - 0.0 a6: - 0.5 - -0.8660254037844386 a7: - 0.0 - 0.0 a8: - -3.9689140359382235e-80 - 1.0 a9: - 4.582907174201562e-80 - -2.6459426906140066e-80 accuracy: 100 algebraic: true analytic_conductor: 1.8964470480054092 analytic_normalization: __RealLiteral__: 0 data: '0.0' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0.8660254037844386 - -0.5 - - 5 - - - 1.0 - 0 - - 0 - 0 - - 19 - - - 1.0 - 0 - - -0.5 - 0.8660254037844386 bad_primes: - 2 - 5 - 19 central_character: '3800.1299' coefficient_field: CDF conductor: 3800 conductor_radical: 190 conjugate: '332304117283601125052250362174' degree: 2 euler_factors: - - - 1.0 - 0 - - 0.8660254037844386 - -0.5 - - - 1.0 - 0 - - 0.8660254037844386 - -0.5 - - 0.5 - -0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 1.0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -0.5 - -0.8660254037844386 - - - 1.0 - 0 - - 1.7320508075688772 - -1.0 - - 0.5 - -0.8660254037844386 - - - 1.0 - 0 - - -0.5 - 0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - -0.5 - -0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - 0.5 - 0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - -0.5 - -0.8660254037844386 - - -0.5 - 0.8660254037844386 - - - 1.0 - 0 - - -1.7320508075688772 - 1.0 - - 0.5 - -0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - -0.5 - -0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - -0.5 - -0.8660254037844386 - - - 1.0 - 0 - - 0.5 - 0.8660254037844386 - - -0.5 - 0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - 0.5 - 0.8660254037844386 - - - 1.0 - 0 - - 0.8660254037844386 - 0.5 - - 0.5 - 0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - 0.5 - -0.8660254037844386 - - - 1.0 - 0 - - 0.8660254037844386 - -0.5 - - 0.5 - -0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - 0.5 - -0.8660254037844386 - - - 1.0 - 0 - - 0 - 1.0 - - -1.0 - 0 - - - 1.0 - 0 - - -1.0 - 1.7320508075688772 - - -0.5 - -0.8660254037844386 - - - 1.0 - 0 - - -0.8660254037844386 - 0.5 - - 0.5 - -0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - 0.5 - 0.8660254037844386 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 2.0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 0.5 - -0.8660254037844386 - - - 1.0 - 0 - - 0 - 1.0 - - -1.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 19577117 index: 1 label: 2-3800-760.539-c0-0-1 leading_term: '0.26053236740117639263791029127865' load_key: CMFs-workshop motivic_weight: 0 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 0 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/3800/1/bn/b/1299/1 plot_delta: __RealLiteral__: 0 data: '0.05078125' prec: 34 plot_values: - 0.2605323674011764 - 0.29816236905040894 - 0.3340834923171624 - 0.36861549497995655 - 0.4016466789937602 - 0.43266479138346925 - 0.4608201500905639 - 0.48500541812402265 - 0.5039393746253142 - 0.5162470072087235 - 0.5205326895509332 - 0.5154460451788943 - 0.49974139072854085 - 0.47233189820657484 - 0.43233931467257664 - 0.379139573455771 - 0.3124041151398479 - 0.23213629754535742 - 0.1387019433979707 - 0.03285285727223092 - -0.08425796556754499 - -0.21107072476824756 - -0.34562399840047425 - -0.4855717608339823 - -0.6282130277757935 - -0.7705346089122509 - -0.9092670764234652 - -1.0409536359356608 - -1.162031127189742 - -1.2689218985486017 - -1.3581348078809634 - -1.4263731193183549 - -1.4706466090638677 - -1.4883847827756898 - -1.4775477611984074 - -1.4367311283741924 - -1.3652608754861766 - -1.263274528813993 - -1.1317846353900536 - -0.9727210042852473 - -0.7889484704534799 - -0.5842574624202456 - -0.36332531027728515 - -0.13164701633941442 - 0.10456488840338464 - 0.33851078476395446 - 0.562963024916997 - 0.7704508380205256 - 0.9534672151132316 - 1.1046928533122704 - 1.2172312678887165 - 1.284848332858317 - 1.3022088271292056 - 1.26510208226635 - 1.1706485835872937 - 1.0174793967046298 - 0.8058805973937152 - 0.5378954854889068 - 0.21737826498536947 - -0.1500059367779581 - -0.5568383790323136 - -0.9940633202338875 - -1.45116402100351 - -1.9163962018171363 - -2.37707492372838 - -2.8199087625178745 - -3.23137312382279 - -3.5981126785172495 - -3.907361263286024 - -4.147366267134176 - -4.3078035802485966 - -4.380168677295375 - -4.358129390355607 - -4.237826429304281 - -4.018108743795893 - -3.7006923858638987 - -3.290233599527483 - -2.794309386753506 - -2.223301710100266 - -1.5901847045941657 - -0.9102176810544909 - -0.2005501924043818 - 0.5202511244420434 - 1.2327409593303 - 1.917183077349972 - 2.554168992605375 - 3.125247222115127 - 3.61354151040162 - 4.0043359022902445 - 4.2856048371044935 - 4.448467570154474 - 4.487548193588881 - 4.401225291187924 - 4.1917587495409245 - 3.8652853575502677 - 3.431679423396571 - 2.9042795628044096 - 2.2994878835246944 - 1.6362528127779805 - 0.93545158431857 - 0.21919271821193043 - -0.4899375025909305 - -1.1696577030470208 - -1.7987744932677197 - -2.357936406475944 - -2.830329500696583 - -3.2022869576904807 - -3.463787704542309 - -3.608822866592409 - -3.635613616145876 - -3.546669544822836 - -3.348682853080285 - -3.052260179429365 - -2.671500520855449 - -2.223434147674706 - -1.7273434109770178 - -1.2039916092670586 - -0.6747903754865704 - -0.1609391528773056 - 0.31742792045650964 - 0.742052117454527 - 1.0972828604755842 - 1.370701488340317 - 1.553608633723046 - 1.6413532628193008 - 1.6334879755513425 - 1.5337425235184992 - 1.3498153663019217 - 1.0929911143818376 - 0.7775995411151652 - 0.42033912768590487 - 0.03949448944111023 - -0.34591779316093957 - -0.7170367162428566 - -1.056037524424984 - -1.3469650627199579 - -1.5764810130879434 - -1.734489702981258 - -1.8146123615850203 - -1.8144863878197588 - -1.7358741003035456 - -1.5845742159517406 - -1.3701385528570722 - -1.1054057439420435 - -0.8058726371516595 - -0.4889321104848457 - -0.17301284047365392 - 0.12333822433470208 - 0.3823866037759011 - 0.5881089139798056 - 0.7270149990893093 - 0.7888523121478356 - 0.767156496609787 - 0.6596191883357259 - 0.4682526765092408 - 0.1993408341067486 - -0.1368238089137647 - -0.5264063321102032 - -0.9526782159586633 - -1.3968184170277298 - -1.8388284216238289 - -2.2585167039170684 - -2.636503893027879 - -2.9551982292318972 - -3.1996916953924024 - -3.3585305523282227 - -3.4243197623250463 - -3.3941287027818876 - -3.2696752845025836 - -3.057276628226094 - -2.7675662718658898 - -2.4149898809424952 - -2.0171029954608364 - -1.593704857980578 - -1.1658512625566353 - -0.7547961489571359 - -0.3809159489412559 - -0.06267220382661574 - 0.18433341086262786 - 0.348161771671614 - 0.42115376757755224 - 0.4003289078998257 - 0.2875426675417568 - 0.08939271158346258 - -0.1831226232835593 - -0.5151769958917635 - -0.8888907964293642 - -1.2842678042494131 - -1.6802445942508344 - -2.055797053283019 - -2.391044854733694 - -2.668294413033129 - -2.872963763782971 - -2.9943388746176747 - -3.0261197959804726 - -2.9667263558403563 - -2.819346192979824 - -2.591722104200357 - -2.2956901727500574 - -1.9464941387713615 - -1.5619141721798016 - -1.1612588783360716 - -0.7642773740174782 - -0.3900531231619043 - -0.055942598029988744 - 0.22338039520608832 - 0.4367196390625833 - 0.5769445823928756 - 0.6413372420118709 - 0.6316774834071133 - 0.554061467207691 - 0.41846375375977773 - 0.23806882308816305 - 0.02841168585161251 - -0.1936210108771384 - -0.41086917125178213 - -0.6069912036944332 - -0.7675027619844399 - -0.8806978672166071 - -0.938394508986399 - -0.9364569437907911 - -0.8750600977125782 - -0.7586769983154509 - -0.595787110385838 - -0.39832082863306156 - -0.18087213622863813 - 0.040273466570871455 - 0.24823618547357337 - 0.4266957001965011 - 0.5610279220247315 - 0.6393507168280866 - 0.6534087178295607 - 0.599235975237978 - 0.4775478667196711 - 0.2938297432988958 - 0.0581083038573367 - -0.21558840428987316 - -0.5100563687533395 - -0.8059813515278699 - -1.083183187020434 - -1.3219634485880254 - -1.5044722117573905 - -1.6160055671538065 - -1.646146876110276 - -1.5896716044308492 - -1.4471476663067455 - -1.2251799814458695 - -0.9362685090514897 - -0.5982722266448776 - -0.23349602553664411 - 0.13255816882104368 - 0.4727120777765287 - 0.7598200324898817 - 0.9685675796883815 - 1.077251472823191 - 1.0694294511131754 - 0.9353315648636322 positive_zeros: - '0.979565346964776444200058671677079' - '2.21192457579688578550143415161428' - '2.97607261905949125944161295218833' - '4.12743118762662828247110578369619' - '5.09369246435461083925128998981664' - '6.00875899359188988154341987657279' - '6.65753264172927442631627487533390' - '7.44309865919673925092091514470257' - '7.902287453214383514613415114525543' - '8.999782122006383362717197497355737' prelabel: 2-3800-760.539-c0-0 primitive: true rational: false root_analytic_conductor: 1.3771154809983834 root_angle: 0.2535030037451768 root_number: 0.69928240196192533758648367023090 + 0.71484552338694846076873789239945*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.1267515018725884' prec: 60 spectral_label: c0-0 types: - CMF z1: __RealLiteral__: 0 data: '0.979565346964776444200058671677' prec: 107 z2: __RealLiteral__: 0 data: '2.21192457579688578550143415161' prec: 103 z3: __RealLiteral__: 0 data: '2.97607261905949125944161295219' prec: 103 - - algebraic: true analytic_conductor: 1.8964470480054092 bad_primes: - 2 - 5 - 19 central_character: '760.539' conductor: 3800 conductor_radical: 190 degree: 2 id: 19577117 index: 1 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/3800/1/bn/b/1299/1 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: 2-3800-760.539-c0-0-1 motivic_weight: 0 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 0 order_of_vanishing: 0 prelabel: 2-3800-760.539-c0-0 primitive: true rational: false root_analytic_conductor: 1.3771154809983834 root_angle: 0.1267515018725884 self_dual: false spectral_label: c0-0 z1: __RealLiteral__: 0 data: '0.979565346964776444200058671677' prec: 107 - - Lhash: '1241746600042672651220752238858' Lhash_array: - '1241746600042672651220752238858' id: 19944211 label: 2-3800-760.539-c0-0-1 type: CMF url: ModularForm/GL2/Q/holomorphic/3800/1/bn/b/1299/1 label_cols: - label - label - label labels: - 2-3800-760.539-c0-0-1 - 2-3800-760.539-c0-0-1 - 2-3800-760.539-c0-0-1 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-03-29T04:36:04.997761'