data: - - Lhash: '2435713301469078633355500644728' a10: - 3.0 - 0.0 a2: - 0.0 - 1.0 a3: - 1.0 - 0.0 a4: - -1.0 - 0.0 a5: - 0.0 - -3.0 a6: - 0.0 - 1.0 a7: - 0.0 - 1.0 a8: - 0.0 - -1.0 a9: - 1.0 - 0.0 accuracy: 100 algebraic: true analytic_conductor: 4.359831950361911 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0 - -1.0 - - 3 - - - 1.0 - 0 - - -1.0 - 0 - - 7 - - - 1.0 - 0 - - 0 - -1.0 - - 13 - - - 1.0 - 0 - - 3.0 - 2.0 bad_primes: - 2 - 3 - 7 - 13 central_character: '546.337' coefficient_field: CDF conductor: 546 conductor_radical: 546 conjugate: '1118066382150540400278539213644' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 3.0 - - -5.0 - 0 - - - 1.0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - 5.0 - - -11.0 - 0 - - - 1.0 - 0 - - 3.0 - 2.0 - - - 1.0 - 0 - - -3.0 - 0 - - 17.0 - 0 - - - 1.0 - 0 - - 0 - 1.0 - - -19.0 - 0 - - - 1.0 - 0 - - 1.0 - 0 - - 23.0 - 0 - - - 1.0 - 0 - - -5.0 - 0 - - 29.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -31.0 - 0 - - - 1.0 - 0 - - 0 - 7.0 - - -37.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -41.0 - 0 - - - 1.0 - 0 - - 1.0 - 0 - - 43.0 - 0 - - - 1.0 - 0 - - 0 - -8.0 - - -47.0 - 0 - - - 1.0 - 0 - - -14.0 - 0 - - 53.0 - 0 - - - 1.0 - 0 - - 0 - -14.0 - - -59.0 - 0 - - - 1.0 - 0 - - 3.0 - 0 - - 61.0 - 0 - - - 1.0 - 0 - - 0 - -8.0 - - -67.0 - 0 - - - 1.0 - 0 - - 0 - 10.0 - - -71.0 - 0 - - - 1.0 - 0 - - 0 - -11.0 - - -73.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 79.0 - 0 - - - 1.0 - 0 - - 0 - -6.0 - - -83.0 - 0 - - - 1.0 - 0 - - 0 - 16.0 - - -89.0 - 0 - - - 1.0 - 0 - - 0 - 2.0 - - -97.0 - 0 - - - 1.0 - 0 - - 18.0 - 0 - - 101.0 - 0 - - - 1.0 - 0 - - 11.0 - 0 - - 103.0 - 0 - - - 1.0 - 0 - - -18.0 - 0 - - 107.0 - 0 - - - 1.0 - 0 - - 0 - -9.0 - - -109.0 - 0 - - - 1.0 - 0 - - 6.0 - 0 - - 113.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 11171654 index: 9 label: 2-546-13.12-c1-0-9 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/546/2/c/d/337/2 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 1.541561448793977 - 1.6590728677944653 - 1.768580855055609 - 1.868025067031128 - 1.9516830642407468 - 2.0111744953931256 - 2.0367741456264996 - 2.0188209226139144 - 1.9490997119821756 - 1.8221267368105418 - 1.6362757908855181 - 1.3946634510618818 - 1.1056899116226226 - 0.7831241524881718 - 0.44563551176073285 - 0.115710679799897 - -0.18204587172061376 - -0.42315377132281595 - -0.5858811100590691 - -0.6540072599791984 - -0.6194100781752849 - -0.4841210483676556 - -0.2614896666362768 - 0.02385445605445157 - 0.3374527947627297 - 0.6379428450965938 - 0.8813281120535051 - 1.0262567466221555 - 1.039773004704912 - 0.902845791276929 - 0.6148895682139074 - 0.19650153071923201 - -0.31023807847944845 - -0.8443162317396562 - -1.3312614792348647 - -1.6912092922618513 - -1.848803057556373 - -1.74379980932531 - -1.340986199318482 - -0.6379170080946301 - 0.33089369608073443 - 1.4943566962896369 - 2.750249919325859 - 3.975510624872597 - 5.040421440778314 - 5.825041194798737 - 6.235711400581619 - 6.219227755422146 - 5.772376582774084 - 4.945023019886738 - 3.835764995939621 - 2.580236857224382 - 1.3333081543571037 - 0.24749264205969415 - -0.5493290402922487 - -0.9734234750550111 - -0.9987036983402159 - -0.6617206703736473 - -0.056893664329654876 - 0.6777266154845603 - 1.3822583623726599 - 1.9010544312387532 - 2.108821976528262 - 1.9323519618033511 - 1.363955788905368 - 0.4639785034719576 - -0.6484210496665866 - -1.8149625554606696 - -2.8651983648082777 - -3.646062635263023 - -4.048692706657938 - -4.027517203042428 - -3.6078912120379463 - -2.8806182360660646 - -1.984170447177274 - -1.0778366358992115 - -0.31090609348652404 - 0.20606934422455161 - 0.4221413515232484 - 0.3546050016942169 - 0.08345067867381366 - -0.26743949973018094 - -0.5586051105891826 - -0.6669524455002076 - -0.5144890325702763 - -0.08747511950711537 - 0.5585084909112923 - 1.309141218454707 - 2.0157491273661643 - 2.5285030800800334 - 2.7312542677961242 - 2.5701598717869873 - 2.069314965234245 - 1.3292557583056872 - 0.5079146963454183 - -0.21240225214547123 - -0.6650812653941445 - -0.7374417670638191 - -0.3983053104500047 - 0.29188663566218714 - 1.1914435841996833 - 2.106698478461876 - 2.834127046426767 - 3.2060098527474516 - 3.1291311238822104 - 2.607241835775012 - 1.7415089065904994 - 0.7082009776208418 - -0.2817116196109012 - -1.0318328430863877 - -1.4067906901476346 - -1.364414710980743 - -0.9652728842966557 - -0.35648126599417645 - 0.2670089387901061 - 0.714651201251129 - 0.8532514502078371 - 0.6470068096382947 - 0.17360512799172811 - -0.3891411626692528 - -0.8044582292905476 - -0.8367337812215272 - -0.31642562761601795 - 0.8064808837336179 - 2.4347962165634516 - 4.330951972657776 - 6.158955027933664 - 7.553421800830754 - 8.200533637543156 - 7.912064461403103 - 6.674441388132033 - 4.660099571469145 - 2.1970413563752964 - -0.29752825118390835 - -2.404787739128614 - -3.7929523923222876 - -4.286228925485678 - -3.8978127536479894 - -2.8192749798246988 - -1.3692962325960563 - 0.08533887410513268 - 1.2168147990238334 - 1.8099592327392746 - 1.8047242088514956 - 1.2979001884429584 - 0.5051302086552784 - -0.30543875872436926 - -0.8893522859564772 - -1.0912087925714047 - -0.8819189005769752 - -0.35867052343279343 - 0.29108772594068366 - 0.8502980784884847 - 1.139468387097241 - 1.0706673308153916 - 0.6726823452384896 - 0.08022972527354724 - -0.5092788543326539 - -0.8982868375790477 - -0.9520198093405914 - -0.6425941300102618 - -0.060571432480518744 - 0.61012786387254 - 1.1469939331591406 - 1.357251763512934 - 1.139109013876173 - 0.5169292536757554 - -0.3612286599962613 - -1.2641044696045622 - -1.944552437519167 - -2.2139163987141632 - -2.0009073018353205 - -1.376434707277819 - -0.5356667726322576 - 0.2585620557170332 - 0.7548291383440585 - 0.790992867741008 - 0.3466352600587964 - -0.4472164757058636 - -1.3458357586083747 - -2.0662058115724817 - -2.3781256943620277 - -2.183119334843694 - -1.5556640794465386 - -0.7316421774810621 - -0.04446060108626643 - 0.17454312034188085 - -0.29709357849162144 - -1.4912177435110936 - -3.2188082004330787 - -5.1035039604217225 - -6.672723677236678 - -7.482750150644501 - -7.243057342038003 - -5.903969322902614 - -3.681160638625842 - -1.0080560500568487 - 1.5721430449678924 - 3.545378020163453 - 4.557791226958821 - 4.502022233632611 - 3.5346507178883178 - 2.020717968888223 - 0.42255983362063954 - -0.8336453790306368 - -1.4740895937284555 - -1.4426058102597983 - -0.8972986229273776 - -0.14210573501430218 - 0.4831814928745842 - 0.7184710309320181 - 0.4674865563490579 - -0.17589970077321687 - -0.9664883962262697 - -1.5978632252502278 - -1.8132352137485201 - -1.4997145642062002 - -0.7341135529121982 - 0.23573460144282954 - 1.0689059205423361 - 1.4436090568793931 - 1.1670239854112354 - 0.24628045505980847 - -1.1037063363197657 - -2.5195058205054863 - -3.597641237492511 - -4.018092722901908 - -3.6434162895179223 - -2.561640196342861 - -1.0591246559472656 - 0.4678184279669587 - 1.633975332370457 - 2.1799781442585355 - 2.044208291885085 - 1.3697745887127855 - 0.4461461701323259 - -0.39338124981181655 - -0.8829392088924953 - -0.9064786858771752 - -0.5244015612577992 - 0.0626695076648149 - 0.5980259904888228 - 0.8693133687038932 - 0.7882871790249357 - 0.42070842906981004 - -0.04446658337393596 - -0.3750366231409535 - -0.3945881939182283 - -0.06273079066046887 - 0.4954135805916125 - 1.0245061807925722 - 1.2293607913641447 - 0.8895129133968008 - -0.04366623797212168 - -1.4050244346848246 - -2.8486778361913383 - -3.949857240599191 positive_zeros: - '1.92143899985575659444802638882711' - '2.86521533116791941437839235681392' - '3.92534040678059442665584062182319' - '4.96054312587536855532952426758109' - '6.65867049724933434258730447768511' - '7.26015157601889847259167581046574' - '8.179094225529055222791246943536191' - '9.566490198455084588934479518598757' - '10.03045588248703020413097068827279' - '10.64424565668071911071373429550751' prelabel: 2-546-13.12-c1-0 primitive: true rational: false root_analytic_conductor: 2.0880210608042034 root_angle: 0.1871670418109988 root_number: 0.8320502943378437 + 0.554700196225229*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.0935835209055' prec: 50 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '1.92143899985575659444802638883' prec: 103 z2: __RealLiteral__: 0 data: '2.86521533116791941437839235681' prec: 103 z3: __RealLiteral__: 0 data: '3.92534040678059442665584062182' prec: 103 - - algebraic: true analytic_conductor: 4.359831950361911 bad_primes: - 2 - 3 - 7 - 13 central_character: '13.12' conductor: 546 conductor_radical: 546 degree: 2 id: 11171654 index: 9 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/546/2/c/d/337/2 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: 2-546-13.12-c1-0-9 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: 2-546-13.12-c1-0 primitive: true rational: false root_analytic_conductor: 2.0880210608042034 root_angle: 0.0935835209054994 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '1.92143899985575659444802638883' prec: 103 - - Lhash: '2435713301469078633355500644728' Lhash_array: - '2435713301469078633355500644728' id: 11537746 label: 2-546-13.12-c1-0-9 type: CMF url: ModularForm/GL2/Q/holomorphic/546/2/c/d/337/2 label_cols: - label - label - label labels: - 2-546-13.12-c1-0-9 - 2-546-13.12-c1-0-9 - 2-546-13.12-c1-0-9 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-05-13T13:11:09.479897'