data: - - Lhash: '350900687389645452118382905969' a10: - 0 - 0 a2: - 0 - 0 a3: - 0 - -0.7557353782323307 a4: - 0 - 0 a5: - 0 - 0 a6: - 0 - 0 a7: - 0 - 172.4242843714177 a8: - 0 - 0 a9: - 242.42886403808802 - 0 accuracy: 100 algebraic: true analytic_conductor: 128.30705585038453 analytic_normalization: __RealLiteral__: 0 data: '2.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0 - 0 - - 5 - - - 1.0 - 0 - - 0 - 0 bad_primes: - 2 - 5 central_character: '800.449' coefficient_field: CDF conductor: 800 conductor_radical: 10 conjugate: '1676934001325166107759714034548' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0 - 0.7557353782323307 - - -243.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0 - -172.4242843714177 - - -16807.0 - 0 - - - 1.0 - 0 - - 391.5400592489501 - 0 - - 161051.0 - 0 - - - 1.0 - 0 - - 0 - 149.24533193465345 - - -371293.0 - 0 - - - 1.0 - 0 - - 0 - -1187.7359958039603 - - -1419857.0 - 0 - - - 1.0 - 0 - - -685.0332113387334 - 0 - - 2476099.0 - 0 - - - 1.0 - 0 - - 0 - -996.2364830164399 - - -6436343.0 - 0 - - - 1.0 - 0 - - -8769.131611852508 - 0 - - 20511149.0 - 0 - - - 1.0 - 0 - - 9525.60938160803 - 0 - - 28629151.0 - 0 - - - 1.0 - 0 - - 0 - -10226.828576619868 - - -69343957.0 - 0 - - - 1.0 - 0 - - -32.64955978790078 - 0 - - 115856201.0 - 0 - - - 1.0 - 0 - - 0 - -10321.502757905755 - - -147008443.0 - 0 - - - 1.0 - 0 - - 0 - 16931.69211786514 - - -229345007.0 - 0 - - - 1.0 - 0 - - 0 - -22286.98392027525 - - -418195493.0 - 0 - - - 1.0 - 0 - - -44251.20513016152 - 0 - - 714924299.0 - 0 - - - 1.0 - 0 - - 21743.139622401744 - 0 - - 844596301.0 - 0 - - - 1.0 - 0 - - 0 - 20708.961081426118 - - -1350125107.0 - 0 - - - 1.0 - 0 - - 15379.511454440297 - 0 - - 1804229351.0 - 0 - - - 1.0 - 0 - - 0 - 57995.42374751116 - - -2073071593.0 - 0 - - - 1.0 - 0 - - 62466.53800370524 - 0 - - 3077056399.0 - 0 - - - 1.0 - 0 - - 0 - 43578.67291529531 - - -3939040643.0 - 0 - - - 1.0 - 0 - - 66297.9219379268 - 0 - - 5584059449.0 - 0 - - - 1.0 - 0 - - 0 - 12264.264255259604 - - -8587340257.0 - 0 - - - 1.0 - 0 - - 37376.75635457917 - 0 - - 10510100501.0 - 0 - - - 1.0 - 0 - - 0 - -41642.86647120462 - - -11592740743.0 - 0 - - - 1.0 - 0 - - 0 - -69664.73640325815 - - -14025517307.0 - 0 - - - 1.0 - 0 - - -88554.15239264762 - 0 - - 15386239549.0 - 0 - - - 1.0 - 0 - - 0 - 77809.29381724997 - - -18424351793.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 23661425 index: 15 label: 2-800-5.4-c5-0-15 leading_term: '1.315595240725585354003756899887121723256400430968547094' load_key: CMFs-workshop motivic_weight: 5 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 5 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/800/6/c/k/449/3 plot_delta: __RealLiteral__: 0 data: '0.05859375' prec: 34 plot_values: - 1.3155952407255853 - 1.0351204721875935 - 0.7505800656905554 - 0.4676523620966501 - 0.19198524022893992 - -0.07090746924691492 - -0.31574827682016543 - -0.5375955706322605 - -0.7319389074971292 - -0.8947885498221548 - -1.02275773017448 - -1.1131361302571872 - -1.1639530857259732 - -1.1740290776797053 - -1.1430141507113976 - -1.0714120105629266 - -0.9605887053980388 - -0.8127649861914645 - -0.6309916751633037 - -0.4191076465250604 - -0.1816803393513377 - 0.0760709253246782 - 0.34836816739324217 - 0.6289834467820057 - 0.9113615518189618 - 1.1887547619392163 - 1.454367349270486 - 1.7015070836436275 - 1.9237406401805772 - 2.1150494922411345 - 2.269982619532077 - 2.383802185403802 - 2.4526182514897186 - 2.4735086129456527 - 2.4446199624966094 - 2.3652468324670486 - 2.2358851239506485 - 2.058257510673802 - 1.83530859742691 - 1.5711684105654569 - 1.2710835882015639 - 0.9413165033481774 - 0.5890134735285424 - 0.22204416072762254 - -0.1511847815126816 - -0.5219378314937464 - -0.8813756441766045 - -1.2207913925197318 - -1.5318521271173005 - -1.8068383750484829 - -2.038874877605123 - -2.2221452481293786 - -2.352083433620948 - -2.4255351989436136 - -2.4408834251594356 - -2.3981318207094064 - -2.298942674478904 - -2.1466255133076944 - -1.9460749347965012 - -1.703657432770437 - -1.4270486735190617 - -1.125024365615164 - -0.8072095393950877 - -0.4837926554029992 - -0.16521243417994974 - 0.13817341667031893 - 0.4164273646284344 - 0.6603681497043812 - 0.8618924637188702 - 1.014270833286209 - 1.1124067009745215 - 1.153048478193047 - 1.1349455236099992 - 1.0589405618368897 - 0.9279929627921775 - 0.747129501585488 - 0.5233216468822596 - 0.265291005000818 - -0.01675281029869083 - -0.3114350014829508 - -0.6065897439017894 - -0.8896740666621548 - -1.1482079287161537 - -1.370225458427865 - -1.5447213178039305 - -1.66207570424038 - -1.7144416576972028 - -1.6960791230001504 - -1.6036216253535505 - -1.436263427192789 - -1.1958575960772142 - -0.8869184517140514 - -0.5165252778018705 - -0.09412786340463956 - 0.3687417552158346 - 0.8588431940156694 - 1.3616754874906314 - 1.8619836557414602 - 2.3443061855550438 - 2.793543324163532 - 3.195524591787716 - 3.5375532402368286 - 3.8089055818530917 - 4.001264214428315 - 4.109066165305862 - 4.129749825620399 - 4.063888159506869 - 3.9151999329469844 - 3.690435459784205 - 3.3991384276715224 - 3.0532905424442616 - 2.66685080030237 - 2.2552059432130984 - 1.8345528587777495 - 1.4212371504817949 - 1.0310746506675352 - 0.6786841323998399 - 0.3768597939376888 - 0.13601118412941682 - -0.03630389626972527 - -0.13573129443850407 - -0.1613393709398604 - -0.11569230242553168 - -0.00477131758548848 - 0.16225613888503104 - 0.3734126197266507 - 0.6144189635223786 - 0.8693151395999856 - 1.1211686001797858 - 1.3528405181238967 - 1.547776914095277 - 1.6907896935720053 - 1.7687921583885011 - 1.7714547001506482 - 1.6917491234209625 - 1.5263543102153254 - 1.2759015757437624 - 0.9450448606909089 - 0.5423485780998955 - 0.07999415262970026 - -0.42668531098733126 - -0.9598246036421781 - -1.4997750162786958 - -2.025950146274132 - -2.5177317873364773 - -2.955395103027464 - -3.3210104355382857 - -3.5992792276975267 - -3.778263688550379 - -3.849973966013203 - -3.810782561338488 - -3.661643292750452 - -3.4081009674152862 - -3.060087657077069 - -2.631511642841517 - -2.139655213215058 - -1.6044070689028156 - -1.0473636225208585 - -0.49084053260723576 - 0.043159009042029246 - 0.5339697158215042 - 0.963233231717357 - 1.315762463286827 - 1.580257243196068 - 1.7498339486855485 - 1.8223403154461266 - 1.800436938684896 - 1.6914383600988587 - 1.5069186511511556 - 1.2620984222853815 - 0.9750416004434062 - 0.6657005237148151 - 0.3548563482092655 - 0.0630079703459778 - -0.19073373713572145 - -0.3896888441008542 - -0.5205331411365627 - -0.5740546396596895 - -0.5456995382555326 - -0.4358756555502178 - -0.24999347816432285 - 0.0017615821523492058 - 0.30491806420105305 - 0.6414468548664939 - 0.9906943976892228 - 1.3304744706507108 - 1.6382629793605785 - 1.8924336668212918 - 2.073469276260738 - 2.1650827719553862 - 2.155186798676368 - 2.0366565300356467 - 1.8078411198285296 - 1.4727916535804815 - 1.0411881711200421 - 0.5279642426850911 - -0.047356107308970725 - -0.6615785032525278 - -1.2889702459569672 - -1.9025468622554487 - -2.475446370097232 - -2.9823185232939493 - -3.400654244496303 - -3.7119824671942934 - -3.9028676603497154 - -3.9656511502589793 - -3.898892514261634 - -3.7074831350238067 - -3.4024216441444164 - -3.0002595009148583 - -2.5222433272862372 - -1.9931978203271825 - -1.4402080994853184 - -0.8911723296784442 - -0.3733036584752445 - 0.08833561839338357 - 0.47218549442931146 - 0.7613485338683048 - 0.9444920903781376 - 1.016439368410636 - 0.9784132869531701 - 0.8379164820353926 - 0.6082514112239172 - 0.3077052346138156 - -0.041556251642423665 - -0.4148240150797561 - -0.7863348760381901 - -1.1308287940692192 - -1.4250838392186438 - -1.6493385200553539 - -1.7885166084427386 - -1.833180123662378 - -1.7801511845416547 - -1.6327621998652149 - -1.4007153018394778 - -1.0995548139483136 - -0.7497795530829963 - -0.37564353375475196 - -0.0037128549418628926 - 0.33873797935808164 - 0.6253963123918255 - 0.8325488734600763 - 0.940587882225234 - 0.9352934850358149 - 0.8088124090957056 - 0.5602698361799632 - 0.1959726617382137 - -0.2708136926362628 - -0.8205073093064511 - -1.4282376895141133 - -2.0652028626874337 - -2.7002783554308 - -3.301784434921772 - -3.839307244648157 - -4.285464852594425 - -4.617511211608484 - -4.818679570208066 positive_zeros: - '0.27681183389687099342744382259764' - '1.21357507274859323491321590127711' - '2.55442155886327519466000580246295' - '3.78141817063589530651375721245251' - '4.56692722171304283951590048244853' - '5.46150561942609743568482034057022' - '6.95802845569915738881736842882124' - '7.20900424848506809401022529105346' - '8.154080101409346909197454274523265' - '9.311519342706840130389196881268703' prelabel: 2-800-5.4-c5-0 primitive: true rational: false root_analytic_conductor: 11.327270450129834 root_angle: -0.8524163823495667 root_number: -0.8944271909999158785636694674925104941762473438446102897 - 0.4472135954999579392818347337462552470881236719223051449*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.42620819117478337' prec: 67 spectral_label: c5-0 types: - CMF z1: __RealLiteral__: 0 data: '0.27681183389687099342744382260' prec: 103 z2: __RealLiteral__: 0 data: '1.21357507274859323491321590128' prec: 103 z3: __RealLiteral__: 0 data: '2.55442155886327519466000580246' prec: 103 - - algebraic: true analytic_conductor: 128.30705585038453 bad_primes: - 2 - 5 central_character: '5.4' conductor: 800 conductor_radical: 10 degree: 2 id: 23661425 index: 15 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/800/6/c/k/449/3 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: 2-800-5.4-c5-0-15 motivic_weight: 5 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 5 order_of_vanishing: 0 prelabel: 2-800-5.4-c5-0 primitive: true rational: false root_analytic_conductor: 11.327270450129834 root_angle: -0.42620819117478337 self_dual: false spectral_label: c5-0 z1: __RealLiteral__: 0 data: '0.27681183389687099342744382260' prec: 103 - - Lhash: '350900687389645452118382905969' Lhash_array: - '350900687389645452118382905969' id: 24028987 label: 2-800-5.4-c5-0-15 type: CMF url: ModularForm/GL2/Q/holomorphic/800/6/c/k/449/3 label_cols: - label - label - label labels: - 2-800-5.4-c5-0-15 - 2-800-5.4-c5-0-15 - 2-800-5.4-c5-0-15 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-05-11T12:16:05.771922'