data: - - Lhash: '1837556526822349976972136443266' a10: - 0.0 - 0.0 a2: - 0.0 - 0.0 a3: - 0.0 - 0.0 a4: - 0.0 - 0.0 a5: - -1.4142135623730951 - 0.0 a6: - 0.0 - 0.0 a7: - 0.0 - 0.0 a8: - 0.0 - 0.0 a9: - 0.0 - 0.0 accuracy: 100 algebraic: true analytic_conductor: 1.868499407297961 analytic_normalization: __RealLiteral__: 0 data: '0.0' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0 - 0 - - 3 - - - 1.0 - 0 - - 0 - 0 - - 13 - - - 1.0 - 0 - - 0 - -1.0 bad_primes: - 2 - 3 - 13 central_character: '3744.2287' coefficient_field: CDF conductor: 3744 conductor_radical: 78 conjugate: '299658816851900981999319052907' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 1.4142135623730951 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 1.4142135623730951 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 1.4142135623730951 - - -1.0 - 0 - - - 1.0 - 0 - - 2.0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 1.4142135623730951 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 1.4142135623730951 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 2.0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 1.4142135623730951 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 2.0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - -1.4142135623730951 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - -1.4142135623730951 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 19584940 index: 4 label: 2-3744-104.51-c0-0-4 leading_term: '0.40356007630130671250381626166101' 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/3744/1/o/c/2287/1 plot_delta: __RealLiteral__: 0 data: '0.05078125' prec: 34 plot_values: - 0.4035600763013067 - 0.48639339472767973 - 0.5721045542274295 - 0.6619711488435853 - 0.7567002801302813 - 0.8563859174606894 - 0.9605220413240568 - 1.0680532394402342 - 1.1774444684060643 - 1.2867567547787677 - 1.3937216720631638 - 1.4958121601616494 - 1.590310049192851 - 1.674371844690029 - 1.7450945047467534 - 1.7995825786148347 - 1.8350174957280518 - 1.8487291670500463 - 1.838269469723626 - 1.801486665367166 - 1.7365993635371488 - 1.6422682876079973 - 1.5176638310598067 - 1.3625272085306481 - 1.1772229093150661 - 0.9627801530189053 - 0.7209211293620298 - 0.45407397734063215 - 0.16536872231923866 - -0.14138525969881371 - -0.46174124863103716 - -0.7906771489009152 - -1.122677341259051 - -1.4518337197321047 - -1.7719645636052441 - -2.0767492289339433 - -2.3598759866720433 - -2.6151997081688463 - -2.8369055275926933 - -3.019674119066521 - -3.1588438375983023 - -3.250564709341332 - -3.2919391378968843 - -3.281144235381336 - -3.217530901555642 - -3.101695167994273 - -2.935517897691533 - -2.7221696778662503 - -2.4660786524551463 - -2.172860091420395 - -1.8492076603425265 - -1.5027476033186535 - -1.1418583468238201 - -0.7754593291823465 - -0.412774113521665 - -0.06307400353457372 - 0.2645905971658168 - 0.5616630064621178 - 0.8203485851262469 - 1.0338695395757134 - 1.1966971472213281 - 1.3047526244406997 - 1.355568465747766 - 1.3484030200404309 - 1.2843023224018109 - 1.1661047413927048 - 0.998385792882756 - 0.7873424608291892 - 0.5406184906229579 - 0.26707430997327725 - -0.023492593026435284 - -0.3206689283016742 - -0.6137786983207713 - -0.8922567000167069 - -1.14602972028807 - -1.3658918383805334 - -1.5438598446711895 - -1.6734948924690383 - -1.7501771414136051 - -1.771321332060108 - -1.7365229341948016 - -1.6476266973808307 - -1.5087120406488517 - -1.325992668156476 - -1.1076309897764485 - -0.8634712453660219 - -0.6046985528892197 - -0.34343429067673936 - -0.09228114820646795 - 0.13616629310240727 - 0.32982757902353155 - 0.47763974803083126 - 0.5700381173831442 - 0.599394664114455 - 0.5603950798449235 - 0.4503372875469274 - 0.26933668879546707 - 0.02042659418046575 - -0.29045392281725285 - -0.6545882476131885 - -1.0607254442977303 - -1.4954326801946474 - -1.9435463993389577 - -2.388707377438279 - -2.813960826837762 - -3.2023993895978613 - -3.5378243271481424 - -3.8053986260503447 - -3.9922651965466374 - -4.0881039083051025 - -4.085602905065389 - -3.980822437222579 - -3.7734332699091584 - -3.4668164369448857 - -3.068016546720972 - -2.5875467944842026 - -2.03905005536925 - -1.4388266611576939 - -0.8052454278029876 - -0.15805992826876297 - 0.4823433620774841 - 1.0957348146230643 - 1.6628366742757148 - 2.1660897308952656 - 2.590358444248091 - 2.9235432575775957 - 3.157072205422828 - 3.2862486285142865 - 3.3104376796891795 - 3.233081107527526 - 3.0615372556212503 - 2.8067509922924936 - 2.48276603954556 - 2.1060995420380695 - 1.695005354034894 - 1.268658094915393 - 0.846294241685812 - 0.4463491547638474 - 0.08562980368831066 - -0.22143801664036777 - -0.4634520147291083 - -0.6325339032861783 - -0.7246628837476268 - -0.7398244500923429 - -0.6819653841043998 - -0.5587549783532414 - -0.3811618875830624 - -0.1628651243357873 - 0.0804738701504089 - 0.332043862908829 - 0.5747811872455909 - 0.7922879036794191 - 0.9697249944093173 - 1.0946351955293079 - 1.15765270827054 - 1.1530618577496006 - 1.0791736001522274 - 0.9384973263404982 - 0.7376952865244185 - 0.4873177040565881 - 0.2013277370130731 - -0.1035636676594089 - -0.4087228576885537 - -0.6945394965882028 - -0.9414474686165133 - -1.1309697418290718 - -1.2467338772654406 - -1.275405157040373 - -1.2074873127284502 - -1.0379464820977242 - -0.7666220827593643 - -0.39839841070862736 - 0.05687752096871177 - 0.5847336586236855 - 1.1666547377501064 - 1.7808840689672079 - 2.4034092046278284 - 3.0090851287501748 - 3.572840502351676 - 4.070907031488548 - 4.482009554327515 - 4.788455165675163 - 4.977063648630686 - 5.039888530001151 - 4.974687918550421 - 4.7851164675080105 - 4.4806237344938 - 4.076059195616705 - 3.590999436110115 - 3.0488277846700735 - 2.475610089208253 - 1.8988217068332902 - 1.3459894528473724 - 0.8433177054661232 - 0.4143697398004277 - 0.07887349634464505 - -0.14828459561487206 - -0.2578231903078466 - -0.2465445772392481 - -0.11750039196039802 - 0.1201670216782114 - 0.45170192970662193 - 0.8575084188136873 - 1.3141805816118004 - 1.7957365148993552 - 2.2749914237974194 - 2.724996954188476 - 3.120469584198738 - 3.43913079054286 - 3.662885838884975 - 3.7787762652437284 - 3.779653023270379 - 3.664532261886649 - 3.4386129776315495 - 3.1129544218455036 - 2.7038301075381983 - 2.231793491104999 - 1.7205068599219886 - 1.1953986811267043 - 0.6822248415648463 - 0.2056152045151582 - -0.21231167575455567 - -0.5531861507213124 - -0.8034057669447653 - -0.9548747528755541 - -1.005420902638651 - -0.9588644644209932 - -0.8247337333817779 - -0.6176426809691612 - -0.3563659289847112 - -0.06266452059669644 - 0.24006883805239718 - 0.5282650299997299 - 0.7796474615065839 - 0.9746261445631543 - 1.0975319064572955 - 1.1376143235026448 - 1.0897402694426421 - 0.9547472212100453 - 0.7394257118129844 - 0.4561274032141602 - 0.12201788235040445 - -0.24198488349990355 - -0.6125257807834371 - -0.965304442858893 - -1.2766547688518317 - -1.5251162040192823 - -1.6928997596344446 - -1.7671564340962058 - -1.7409660425353914 - -1.613979945806782 - -1.3926709484142763 - -1.0901665911929963 - -0.7256668689001806 - -0.32347258990600036 - 0.0883253500590181 - 0.47942405942138444 positive_zeros: - '1.44957650514385746260008170958520' - '2.80244367298260897693151654601871' - '3.55064850449872361463417715246652' - '4.48851162588584534685624536520428' - '4.92944194213764110226708443290994' - '6.05539036938399166488887591250336' - '7.02103339107924165075480165320948' - '7.49919155086612550457125551280697' - '8.158696444600926723962639049709801' - '8.728481323333251503511201870831058' prelabel: 2-3744-104.51-c0-0 primitive: true rational: false root_analytic_conductor: 1.3669306519710358 root_angle: 0.75 root_number: -0.70710678118654752440084436210459 + 0.70710678118654752440084436210459*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.375' prec: 17 spectral_label: c0-0 types: - CMF z1: __RealLiteral__: 0 data: '1.44957650514385746260008170959' prec: 103 z2: __RealLiteral__: 0 data: '2.80244367298260897693151654602' prec: 103 z3: __RealLiteral__: 0 data: '3.55064850449872361463417715247' prec: 103 - - algebraic: true analytic_conductor: 1.868499407297961 bad_primes: - 2 - 3 - 13 central_character: '104.51' conductor: 3744 conductor_radical: 78 degree: 2 id: 19584940 index: 4 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/3744/1/o/c/2287/1 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: 2-3744-104.51-c0-0-4 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: 2-3744-104.51-c0-0 primitive: true rational: false root_analytic_conductor: 1.3669306519710358 root_angle: 0.375 self_dual: false spectral_label: c0-0 z1: __RealLiteral__: 0 data: '1.44957650514385746260008170959' prec: 103 - - Lhash: '1837556526822349976972136443266' Lhash_array: - '1837556526822349976972136443266' id: 19952910 label: 2-3744-104.51-c0-0-4 type: CMF url: ModularForm/GL2/Q/holomorphic/3744/1/o/c/2287/1 label_cols: - label - label - label labels: - 2-3744-104.51-c0-0-4 - 2-3744-104.51-c0-0-4 - 2-3744-104.51-c0-0-4 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-30T21:34:01.029795'