data: - - Lhash: '1156636220821786130044896052805' a10: - 0.0 - 0.0 a2: - -2.662018113121885 - 0.0 a3: - 0.0 - 0.0 a4: - 5.086340434589 - 0.0 a5: - 0.0 - 0.0 a6: - 0.0 - 0.0 a7: - 3.4683064458391053 - 0.0 a8: - -8.215894140136388 - 0.0 a9: - 0.0 - 0.0 accuracy: 100 algebraic: true analytic_conductor: 44.91585113697024 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 3 - - - 1.0 - 0 - - 0 - 0 - - 5 - - - 1.0 - 0 - - 0 - 0 bad_primes: - 3 - 5 central_character: '5625.1' coefficient_field: CDF conductor: 5625 conductor_radical: 15 degree: 2 euler_factors: - - - 1.0 - 0 - - 2.662018113121885 - 0 - - 2.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - -3.4683064458391053 - 0 - - 7.0 - 0 - - - 1.0 - 0 - - 3.4324841539981925 - 0 - - 11.0 - 0 - - - 1.0 - 0 - - -5.704374423338895 - 0 - - 13.0 - 0 - - - 1.0 - 0 - - -1.8915520722455774 - 0 - - 17.0 - 0 - - - 1.0 - 0 - - -2.4683064458391053 - 0 - - 19.0 - 0 - - - 1.0 - 0 - - -8.844311372168878 - 0 - - 23.0 - 0 - - - 1.0 - 0 - - -8.986360181012696 - 0 - - 29.0 - 0 - - - 1.0 - 0 - - 1.9074632894291237 - 0 - - 31.0 - 0 - - - 1.0 - 0 - - -5.092536710570876 - 0 - - 37.0 - 0 - - - 1.0 - 0 - - -6.351030889538015 - 0 - - 41.0 - 0 - - - 1.0 - 0 - - 3.4329605676081423 - 0 - - 43.0 - 0 - - - 1.0 - 0 - - -8.614471571398145 - 0 - - 47.0 - 0 - - - 1.0 - 0 - - -2.033600881089395 - 0 - - 53.0 - 0 - - - 1.0 - 0 - - 8.472422762554327 - 0 - - 59.0 - 0 - - - 1.0 - 0 - - 7.907463289429124 - 0 - - 61.0 - 0 - - - 1.0 - 0 - - -6.95845784578716 - 0 - - 67.0 - 0 - - - 1.0 - 0 - - -2.918546735539823 - 0 - - 71.0 - 0 - - - 1.0 - 0 - - 11.928049848874933 - 0 - - 73.0 - 0 - - - 1.0 - 0 - - 6.605641436786143 - 0 - - 79.0 - 0 - - - 1.0 - 0 - - -12.999304126274584 - 0 - - 83.0 - 0 - - - 1.0 - 0 - - 11.587276123854869 - 0 - - 89.0 - 0 - - - 1.0 - 0 - - 2.1788771451598765 - 0 - - 97.0 - 0 - - - 1.0 - 0 - - -9.303990973710345 - 0 - - 101.0 - 0 - - - 1.0 - 0 - - 0.17651037833847444 - 0 - - 103.0 - 0 - - - 1.0 - 0 - - 1.377614653787208 - 0 - - 107.0 - 0 - - - 1.0 - 0 - - -1.8974375042867735 - 0 - - 109.0 - 0 - - - 1.0 - 0 - - -2.351231673787045 - 0 - - 113.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 21041463 index: 76 label: 2-75e2-1.1-c1-0-76 leading_term: '1.2053121588228839474766146729493' 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/5625/2/a/bb/1/1 plot_delta: __RealLiteral__: 0 data: '0.05078125' prec: 34 plot_values: - 1.205312158822884 - 1.2005085705682323 - 1.1861021234520375 - 1.1621109603525395 - 1.1285821766975617 - 1.0856156052665775 - 1.0333942744711857 - 0.9722190459098398 - 0.9025446478078678 - 0.8250142471597709 - 0.7404898147417597 - 0.6500757905202441 - 0.5551339076683584 - 0.45728744338597316 - 0.35841360660353083 - 0.26062322992493037 - 0.16622739796575903 - 0.07769111402080686 - -0.0024254188267535484 - -0.07153684876460184 - -0.1271125285480605 - -0.16676417260048762 - -0.1883388699897416 - -0.19001458917745417 - -0.17039494452472942 - -0.128599697537599 - -0.06434725704010516 - 0.0219746593216876 - 0.12925401743706916 - 0.2556187671154856 - 0.3984237943854109 - 0.5542634041929959 - 0.7190115911872557 - 0.8878915860573017 - 1.0555752579256699 - 1.2163119292022804 - 1.3640850445307426 - 1.4927939629877716 - 1.596456951351491 - 1.669430289733322 - 1.7066373064635008 - 1.703800186157776 - 1.6576665929253125 - 1.5662225674857848 - 1.4288828364279156 - 1.246649651765655 - 1.0222315889175595 - 0.7601143906102128 - 0.4665769603470872 - 0.14964697590263745 - -0.1810077097578219 - -0.5142537212045706 - -0.8377324723234109 - -1.1381633274172824 - -1.4017042848046317 - -1.6143623253965913 - -1.7624431209730815 - -1.8330275335168644 - -1.814460360683266 - -1.696835193065046 - -1.472458138909468 - -1.1362726222817816 - -0.6862275363644806 - -0.1235717797884453 - 0.5469403575447049 - 1.3169463659702645 - 2.1744858689408115 - 3.1041314032937897 - 4.08724298882417 - 5.102345574896056 - 6.125623927504396 - 7.1315249055871055 - 8.093452545025297 - 8.984537105653066 - 9.778455425152542 - 10.450276742188741 - 10.977305763760878 - 11.339893300889283 - 11.522184395558039 - 11.512774587554535 - 11.305246858349406 - 10.898564830805581 - 10.297301940769815 - 9.511691423612294 - 8.55748792293517 - 7.455638134381229 - 6.23176491202336 - 4.91547642619027 - 3.5395189880476727 - 2.138798757345053 - 0.7493034382769903 - -0.5930400269652322 - -1.8535320796734245 - -2.9998495457901537 - -4.003134414609183 - -4.8389807987283895 - -5.488281181918008 - -5.937897414698565 - -6.181127801380079 - -6.217948847236183 - -6.055018545277974 - -5.705437166889688 - -5.18827102219989 - -4.527854185993577 - -3.7528923395093283 - -2.8954012561700364 - -1.989519679134814 - -1.0702420578827394 - -0.17212054251407813 - 0.6720124388658308 - 1.43224990660365 - 2.0826956403637267 - 2.6023848755141863 - 2.9760026815998306 - 3.194370544193816 - 3.2546812945888157 - 3.1604731501960206 - 2.921344783298146 - 2.552424532366677 - 2.0736176005399463 - 1.5086648524385653 - 0.8840551599542956 - 0.2278397540575654 - -0.4315986145350773 - -1.0667669492236578 - -1.6522195192522575 - -2.1656004896938548 - -2.5885260264358436 - -2.907267872531485 - -3.1132098499673173 - -3.203059576991321 - -3.1788093914512845 - -3.0474524705525856 - -2.8204718495244516 - -2.513130884606497 - -2.1436031341555126 - -1.7319871645618936 - -1.299257034368757 - -0.8662018918756256 - -0.45240808844710545 - -0.0753344501663169 - 0.2504740056300255 - 0.5139963078858867 - 0.7081417447910945 - 0.8299351338504283 - 0.8804761482492389 - 0.8646798408954173 - 0.7908172232477308 - 0.6698854105824698 - 0.51484585518253 - 0.33977605447908826 - 0.1589844555962683 - -0.01386016990805489 - -0.16653493603203065 - -0.28895884084815576 - -0.373739506431878 - -0.41654059324987525 - -0.41625053346531793 - -0.3749450659848549 - -0.29764834545945285 - -0.19190942782590645 - -0.06722200252811922 - 0.06567531048766573 - 0.1955735233315687 - 0.3115935093948809 - 0.4039610301821498 - 0.4647070865560232 - 0.4882485395310757 - 0.47181115596011 - 0.4156668351701387 - 0.3231682122905472 - 0.20057644101042377 - 0.05669097893363366 - -0.09769715977111164 - -0.2504957408104059 - -0.3891027027348521 - -0.501249000434733 - -0.5758392185195684 - -0.6037355063627782 - -0.5784330363941214 - -0.4965811553458216 - -0.3583133773149811 - -0.16736085614103324 - 0.069062696793691 - 0.3406023147086497 - 0.6343124385523647 - 0.935386317160005 - 1.228021404613851 - 1.4963683561839145 - 1.7255046957311662 - 1.902371321700296 - 2.0166110114195326 - 2.061253009639203 - 2.0331964329481034 - 1.9334571297371703 - 1.7671571274306457 - 1.5432520119090327 - 1.2740085203751086 - 0.9742612147030822 - 0.6604922545063053 - 0.3497909842794648 - 0.058759390529232125 - -0.19756523515200633 - -0.4066983404656802 - -0.5595387462375416 - -0.6509823299559594 - -0.6802719951502326 - -0.651053438020748 - -0.5711250482264298 - -0.4518905088037402 - -0.3075430118730012 - -0.15402914974558732 - -0.007857173743811433 - 0.11517275001689024 - 0.20123040605147555 - 0.23962078659888025 - 0.2237669639361938 - 0.1519335888874066 - 0.027628303599910455 - -0.1403625915442982 - -0.3383251038270613 - -0.5483508759215133 - -0.749422606573991 - -0.918796118904433 - -1.0336009515544982 - -1.072562748038554 - -1.0177375834422846 - -0.8561417840692217 - -0.5811614772066368 - -0.19363433031285698 - 0.2974884947473457 - 0.8749699104249571 - 1.513645954395712 - 2.181326487673056 - 2.840213739979908 - 3.4487808242127227 - 3.964020298307004 - 4.3439449497963345 - 4.550201144710018 - 4.550640941602838 - 4.321693927660084 - 3.850384080635038 - 3.1358510186939563 - 2.190258289795433 - 1.039002800304413 - -0.27982252970782234 - -1.716718352296103 - -3.212781717056178 - -4.702339282597527 - -6.11608752003659 - -7.384581865576604 - -8.441890324210384 - -9.229210638145707 - -9.698245125634442 - -9.814134325500197 - -9.55776959007531 - -8.927334961322547 positive_zeros: - '0.912425096168884309632086098524925' - '1.35929699446451392608734575074823' - '2.51142708551713243934303710408499' - '3.20920672122029436848582925096354' - '4.59835275883113257795201434556291' - '5.49441198113124862367775488758240' - '6.21277637928280832267622817111886' - '7.12037098265556745357804225201606' - '7.71449665175950713507805937962996' - '8.201590931792182726896065261342560' prelabel: 2-75e2-1.1-c1-0 primitive: true rational: false root_analytic_conductor: 6.701928911661943 root_angle: 0.0 root_number: '1' self_dual: true sign_arg: 0 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '0.912425096168884309632086098525' prec: 107 z2: __RealLiteral__: 0 data: '1.35929699446451392608734575075' prec: 103 z3: __RealLiteral__: 0 data: '2.51142708551713243934303710408' prec: 103 - - algebraic: true analytic_conductor: 44.91585113697024 bad_primes: - 3 - 5 central_character: '1.1' conductor: 5625 conductor_radical: 15 degree: 2 id: 21041463 index: 76 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/5625/2/a/bb/1/1 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: 2-75e2-1.1-c1-0-76 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: 2-75e2-1.1-c1-0 primitive: true rational: false root_analytic_conductor: 6.701928911661943 root_angle: 0.0 self_dual: true spectral_label: c1-0 z1: __RealLiteral__: 0 data: '0.912425096168884309632086098525' prec: 107 - - Lhash: '1156636220821786130044896052805' Lhash_array: - '1156636220821786130044896052805' id: 21413203 label: 2-75e2-1.1-c1-0-76 type: CMF url: ModularForm/GL2/Q/holomorphic/5625/2/a/bb/1/1 label_cols: - label - label - label labels: - 2-75e2-1.1-c1-0-76 - 2-75e2-1.1-c1-0-76 - 2-75e2-1.1-c1-0-76 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-05-14T12:21:22.975921'