data: - - Lhash: '1534628379260142517482510722723' a10: - 1.0 - 0.0 a2: - 1.0 - 0.0 a3: - 0.0 - 0.0 a4: - 1.0 - 0.0 a5: - 1.0 - 0.0 a6: - 0.0 - 0.0 a7: - 4.549969705510124 - 0.0 a8: - 1.0 - 0.0 a9: - 0.0 - 0.0 accuracy: 100 algebraic: true analytic_conductor: 22.27826216393724 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - -1.0 - 0 - - 3 - - - 1.0 - 0 - - 0 - 0 - - 5 - - - 1.0 - 0 - - -1.0 - 0 - - 31 - - - 1.0 - 0 - - -1.0 - 0 bad_primes: - 2 - 3 - 5 - 31 central_character: '2790.1' coefficient_field: CDF conductor: 2790 conductor_radical: 930 degree: 2 euler_factors: - - - 1.0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - -4.549969705510124 - 0 - - 7.0 - 0 - - - 1.0 - 0 - - 2.549969705510124 - 0 - - 11.0 - 0 - - - 1.0 - 0 - - 1.052315204529514 - 0 - - 13.0 - 0 - - - 1.0 - 0 - - 4.3940011506284895 - 0 - - 17.0 - 0 - - - 1.0 - 0 - - -7.602284910039638 - 0 - - 19.0 - 0 - - - 1.0 - 0 - - 1.2082837594111486 - 0 - - 23.0 - 0 - - - 1.0 - 0 - - -6.104630409059028 - 0 - - 29.0 - 0 - - - 1.0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - -7.735687096727465 - 0 - - 37.0 - 0 - - - 1.0 - 0 - - -6.104630409059028 - 0 - - 41.0 - 0 - - - 1.0 - 0 - - 6.28565680223759 - 0 - - 43.0 - 0 - - - 1.0 - 0 - - -2.683371892197951 - 0 - - 47.0 - 0 - - - 1.0 - 0 - - 0.5023454990193897 - 0 - - 53.0 - 0 - - - 1.0 - 0 - - 10.835626507747714 - 0 - - 59.0 - 0 - - - 1.0 - 0 - - 9.805877671412008 - 0 - - 61.0 - 0 - - - 1.0 - 0 - - -7.468882723351811 - 0 - - 67.0 - 0 - - - 1.0 - 0 - - 8.654600114569153 - 0 - - 71.0 - 0 - - - 1.0 - 0 - - 8.702224321059887 - 0 - - 73.0 - 0 - - - 1.0 - 0 - - 0.9189130178416872 - 0 - - 79.0 - 0 - - - 1.0 - 0 - - -2.4165675188222973 - 0 - - 83.0 - 0 - - - 1.0 - 0 - - -16.43791141778735 - 0 - - 89.0 - 0 - - - 1.0 - 0 - - 9.204569820079277 - 0 - - 97.0 - 0 - - - 1.0 - 0 - - -3.1857173912173407 - 0 - - 101.0 - 0 - - - 1.0 - 0 - - -18.835626507747712 - 0 - - 103.0 - 0 - - - 1.0 - 0 - - 14.28565680223759 - 0 - - 107.0 - 0 - - - 1.0 - 0 - - 5.783311303218199 - 0 - - 109.0 - 0 - - - 1.0 - 0 - - -8.018852428861935 - 0 - - 113.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 19777120 index: 28 label: 2-2790-1.1-c1-0-28 leading_term: '3.83981170499114548389669775624' 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/2790/2/a/bk/1/4 plot_delta: __RealLiteral__: 0 data: '0.05078125' prec: 34 plot_values: - 3.8398117049911455 - 3.8342804559696217 - 3.817572069142856 - 3.7893503003555016 - 3.749079833318346 - 3.6960622498548243 - 3.6294832604591134 - 3.5484684979844197 - 3.45214492141473 - 3.339704864079067 - 3.2104699385692097 - 3.0639523113721503 - 2.899911217891591 - 2.718402950510178 - 2.519822884693013 - 2.3049383954171345 - 2.0749117578516443 - 1.83131233140389 - 1.5761175090062218 - 1.311702088733681 - 1.0408159055974011 - 0.7665497574248651 - 0.49228987597943813 - 0.2216614348388409 - -0.04153815257060034 - -0.29341511267175047 - -0.5300630486611324 - -0.7476529251675723 - -0.9425274120393494 - -1.1112974407557918 - -1.2509386020022728 - -1.3588848325737795 - -1.4331167150799706 - -1.472241655020687 - -1.4755632153662377 - -1.443136985652987 - -1.3758105454112104 - -1.275245352536703 - -1.1439187452143982 - -0.9851046873617112 - -0.8028324052634196 - -0.6018226468963247 - -0.3874019320468222 - -0.16539583444191736 - 0.057996972124066876 - 0.27634748430933653 - 0.4831528756814615 - 0.6720030466571721 - 0.8367529871122144 - 0.9716962790251548 - 1.071734742883868 - 1.1325390454027358 - 1.1506950533775897 - 1.1238308511598427 - 1.0507196443409754 - 0.9313542514185024 - 0.7669895341363893 - 0.5601499252880422 - 0.3146001631406267 - 0.035278411197438485 - -0.27180789813757 - -0.5997219413732563 - -0.9407703147343127 - -1.2867047793976958 - -1.6289477998717927 - -1.958835702808814 - -2.2678724062767355 - -2.547985986436836 - -2.7917798952159356 - -2.992770448349728 - -3.1456022898969325 - -3.246233919822186 - -3.2920860483326666 - -3.282146506359195 - -3.21702667674907 - -3.0989658850719604 - -2.9317818614021367 - -2.72076720418019 - -2.4725336849451858 - -2.1948081623148856 - -1.8961857544494805 - -1.5858476786159246 - -1.273252732209574 - -0.9678126929526397 - -0.6785628945639961 - -0.41383983471664537 - -0.18097785307818087 - 0.013963348727492136 - 0.16642929769499543 - 0.27354957969051813 - 0.3342566435475574 - 0.349338304332905 - 0.3214199887478014 - 0.25487533404479346 - 0.15566648148562315 - 0.03111819571010942 - -0.11036731558847379 - -0.259645423088101 - -0.4072021650248866 - -0.5435516906734267 - -0.6596428742162259 - -0.7472589949106263 - -0.7993940714590205 - -0.810589782456412 - -0.7772179155704912 - -0.6976949537062044 - -0.5726176871207133 - -0.4048115691510199 - -0.19928681676981794 - 0.03689912089215104 - 0.2948702787114101 - 0.5642457534673013 - 0.8335280534862518 - 1.0905526343474794 - 1.3229819692287115 - 1.5188250142943727 - 1.6669611485655977 - 1.7576466992519149 - 1.782982082799203 - 1.7373184394192849 - 1.61758441700349 - 1.4235164314840516 - 1.1577792170826648 - 0.8259676649961133 - 0.43648568108708957 - 0.00030288993851311887 - -0.4694047316297552 - -0.9577190153119033 - -1.448532377620643 - -1.9251686463255893 - -2.3710477124101743 - -2.7703670398022977 - -3.1087713940230812 - -3.3739816667971625 - -3.556354443713597 - -3.649346000452217 - -3.649857678339717 - -3.558443984234158 - -3.379370130870498 - -3.1205118800881433 - -2.7930972284442657 - -2.4112964049094163 - -1.9916735338464244 - -1.5525198440766135 - -1.1130941715790534 - -0.6928014225893637 - -0.3103433809972964 - 0.017121450602354947 - 0.2747715463437665 - 0.4508330713389318 - 0.5371736776510155 - 0.5297496340333105 - 0.42888220370092217 - 0.23934611206316794 - -0.029739133506460156 - -0.36521572515254214 - -0.7503836113064065 - -1.1656691249580542 - -1.5894409080453893 - -1.9989404861331723 - -2.3712887446177833 - -2.684525041890126 - -2.918633022559256 - -3.056506543864907 - -3.084810591198398 - -2.994695628944862 - -2.782329406810825 - -2.4492176186698487 - -2.0022936994751594 - -1.4537680750582662 - -0.8207379142239388 - -0.12456939117303457 - 0.6099248567173772 - 1.3554805019978275 - 2.0835073403840907 - 2.7652980445998425 - 3.3732669259149954 - 3.8821632907546926 - 4.27020402713481 - 4.52007268745355 - 4.619737485516111 - 4.563048109459552 - 4.350080764816497 - 3.9872119947752545 - 3.486914081494831 - 2.867277651057837 - 2.1512798832341242 - 1.3658288521006654 - 0.5406253994298323 - -0.2931069776692716 - -1.1039669312752558 - -1.8617332911724953 - -2.538673560341167 - -3.1107418286601902 - -3.5586097273548694 - -3.8684815000092145 - -4.032654179138492 - -4.049795780320197 - -3.9249278006102424 - -3.669112494135464 - -3.298859703497059 - -2.835281741464321 - -2.3030372518915345 - -1.7291154938198858 - -1.1415205372656643 - -0.5679199989086215 - -0.03432488755015396 - 0.4361342617107757 - 0.8242744751967949 - 1.1157179454763293 - 1.3014979624691174 - 1.378383711818573 - 1.348908797938199 - 1.2211035262454926 - 1.0079462386365448 - 0.726563545585696 - 0.3972223717922177 - 0.04216763230442153 - -0.3156325094086326 - -0.6537669340264436 - -0.9516191329455719 - -1.1914959749262357 - -1.3595873275690187 - -1.44670516752616 - -1.4487625900432493 - -1.366967094053761 - -1.207717939956521 - -0.9822134326187835 - -0.7057898074855492 - -0.3970281310000112 - -0.0766784556351211 - 0.2335393226428579 - 0.5121914525001539 - 0.7393733205170194 - 0.8978700542351092 - 0.9741696266376134 - 0.9592712786658253 - 0.8492432308192375 - 0.645497446153826 - 0.3547648886474256 - -0.011228567589806195 - -0.43636860933812815 - -0.9010083952832247 - -1.3830267448030245 - -1.8590297882880118 - -2.30562885917112 - -2.7007227604219257 - -3.0247119448190283 - -3.261575678939399 - -3.3997507507345976 - -3.432761336424348 - -3.359563661687309 - -3.1845852948619107 - -2.917456381353724 - -2.572447870127809 - -2.167648769355248 - -1.7239297053229719 positive_zeros: - '1.21060833244101024550659073358055' - '2.22114055419574764647340607535354' - '3.00214744359262292638309022445294' - '4.41394022223565056661905164619787' - '4.83580789590666717890633900747448' - '5.52757077701372068293301620199325' - '6.34769003131846049369736758001229' - '7.46191443175957172072765419524858' - '7.81530316257676966477863733405209' - '8.692344372131066392565378423262718' prelabel: 2-2790-1.1-c1-0 primitive: true rational: false root_analytic_conductor: 4.71998539869958 root_angle: 0.0 root_number: '1' self_dual: true sign_arg: 0 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '1.21060833244101024550659073358' prec: 103 z2: __RealLiteral__: 0 data: '2.22114055419574764647340607535' prec: 103 z3: __RealLiteral__: 0 data: '3.00214744359262292638309022445' prec: 103 - - algebraic: true analytic_conductor: 22.27826216393724 bad_primes: - 2 - 3 - 5 - 31 central_character: '1.1' conductor: 2790 conductor_radical: 930 degree: 2 id: 19777120 index: 28 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/2790/2/a/bk/1/4 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: 2-2790-1.1-c1-0-28 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: 2-2790-1.1-c1-0 primitive: true rational: false root_analytic_conductor: 4.71998539869958 root_angle: 0.0 self_dual: true spectral_label: c1-0 z1: __RealLiteral__: 0 data: '1.21060833244101024550659073358' prec: 103 - - Lhash: '1534628379260142517482510722723' Lhash_array: - '1534628379260142517482510722723' id: 20156291 label: 2-2790-1.1-c1-0-28 type: CMF url: ModularForm/GL2/Q/holomorphic/2790/2/a/bk/1/4 label_cols: - label - label - label labels: - 2-2790-1.1-c1-0-28 - 2-2790-1.1-c1-0-28 - 2-2790-1.1-c1-0-28 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-03-29T12:42:23.185368'