data: - - Lhash: '2174159623797467690567360224304' a10: - 0.0 - 0.0 a2: - 0.0 - 0.28916854644830997 a3: - 0.0 - -1.0 a4: - 1.9163815517449716 - 0.0 a5: - 0.0 - 0.0 a6: - 0.28916854644830997 - 0.0 a7: - 0.0 - -4.916381551744972 a8: - 0.0 - 1.1324943606550701 a9: - -1.0 - 0.0 accuracy: 100 algebraic: true analytic_conductor: 7.785414197074841 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 3 - - - 1.0 - 0 - - 0 - 1.0 - - 5 - - - 1.0 - 0 - - 0 - 0 - - 13 - - - 1.0 - 0 - - 0 - -1.0 bad_primes: - 3 - 5 - 13 central_character: '975.274' coefficient_field: CDF conductor: 975 conductor_radical: 195 conjugate: '1305361646779943117744397854680' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - -0.28916854644830997 - - -2.0 - 0 - - - 1.0 - 0 - - 0 - 1.0 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0 - 4.916381551744972 - - -7.0 - 0 - - - 1.0 - 0 - - -4.916381551744972 - 0 - - 11.0 - 0 - - - 1.0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - -4.338044458848351 - - -17.0 - 0 - - - 1.0 - 0 - - 2.57833709289662 - 0 - - 19.0 - 0 - - - 1.0 - 0 - - 0 - 6.338044458848351 - - -23.0 - 0 - - - 1.0 - 0 - - 6.0 - 0 - - 29.0 - 0 - - - 1.0 - 0 - - -1.4216629071033802 - 0 - - 31.0 - 0 - - - 1.0 - 0 - - 0 - 9.494718644641592 - - -37.0 - 0 - - - 1.0 - 0 - - -4.338044458848351 - 0 - - 41.0 - 0 - - - 1.0 - 0 - - 0 - 1.1566741857932399 - - -43.0 - 0 - - - 1.0 - 0 - - 0 - -5.42166290710338 - - -47.0 - 0 - - - 1.0 - 0 - - 0 - 0.33804445884835166 - - -53.0 - 0 - - - 1.0 - 0 - - -11.254426010593324 - 0 - - 59.0 - 0 - - - 1.0 - 0 - - 10.170807562338295 - 0 - - 61.0 - 0 - - - 1.0 - 0 - - 0 - -7.254426010593323 - - -67.0 - 0 - - - 1.0 - 0 - - -0.9163815517449716 - 0 - - 71.0 - 0 - - - 1.0 - 0 - - 0 - 3.1566741857932397 - - -73.0 - 0 - - - 1.0 - 0 - - -3.4947186446415914 - 0 - - 79.0 - 0 - - - 1.0 - 0 - - 0 - -11.254426010593324 - - -83.0 - 0 - - - 1.0 - 0 - - -0.33804445884835166 - 0 - - 89.0 - 0 - - - 1.0 - 0 - - 0 - -12.338044458848351 - - -97.0 - 0 - - - 1.0 - 0 - - -10.676088917696703 - 0 - - 101.0 - 0 - - - 1.0 - 0 - - 0 - 14.508852021186646 - - -103.0 - 0 - - - 1.0 - 0 - - 0 - 4.170807562338295 - - -107.0 - 0 - - - 1.0 - 0 - - -3.832763103489943 - 0 - - 109.0 - 0 - - - 1.0 - 0 - - 0 - 0.8433258142067601 - - -113.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 18715119 index: 27 label: 2-975-5.4-c1-0-27 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/975/2/c/i/274/4 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 2.0912758925792865 - 2.241354755652513 - 2.3770616095205237 - 2.4923966482314586 - 2.576692296081493 - 2.616133384489651 - 2.595888788894572 - 2.5024871051056383 - 2.326169831578716 - 2.0630196252207704 - 1.7166697786865226 - 1.2993845619933644 - 0.8322952392093603 - 0.34460799129214154 - -0.12832204286036109 - -0.5480333782487652 - -0.876943398567167 - -1.0829309381321022 - -1.1440113124841844 - -1.0524802143672778 - -0.8178543952742284 - -0.46798252639195176 - -0.04785221689388615 - 0.3841233749647595 - 0.7622142497028136 - 1.0213661931959754 - 1.106190398787295 - 0.9797632534991508 - 0.6308896713421399 - 0.07851617730940612 - -0.6277660785892999 - -1.411718316464682 - -2.178899814154744 - -2.8287812927384834 - -3.2690399664692356 - -3.429997381328901 - -3.276881315437521 - -2.81767639380358 - -2.104812268237772 - -1.229792467558007 - -0.31098717723204716 - 0.5239697963937484 - 1.158637107301903 - 1.5077631951158401 - 1.5332626954723898 - 1.252988409465357 - 0.7401262106299739 - 0.11256440940800323 - -0.486607551885455 - -0.9145508810313857 - -1.0557795167875472 - -0.8459285489556909 - -0.2874241882509507 - 0.5465395095838095 - 1.521330602624782 - 2.462656022133146 - 3.1874130452401466 - 3.5381989444633826 - 3.41494499095542 - 2.7972609685911483 - 1.7525132286499865 - 0.4272222195736864 - -0.9773922854790994 - -2.2415985445877453 - -3.168306055975024 - -3.621026594154315 - -3.5507364772521135 - -3.005685409063813 - -2.1215376497403424 - -1.093317751378128 - -0.13461110248047908 - 0.5675505530056554 - 0.892431062527561 - 0.8111174758230495 - 0.3918641375051095 - -0.21636465546988323 - -0.8188664516904478 - -1.221051336661395 - -1.2747880236227858 - -0.9144398653061158 - -0.17390062922602456 - 0.819794114178902 - 1.8752158431009658 - 2.7811541992375752 - 3.356545154477355 - 3.4935710133532467 - 3.1831423589857386 - 2.516077437905412 - 1.6592403799591064 - 0.8122612161243488 - 0.1556310880560161 - -0.19644140133973273 - -0.22580739489034282 - -0.014299200964973838 - 0.2801532010585073 - 0.46979291589888605 - 0.39398808928326645 - -0.028323914637220227 - -0.7654862233514006 - -1.6696565347148054 - -2.5059811316591585 - -3.008712218689763 - -2.9509555018651508 - -2.210257057020207 - -0.8122757677745706 - 1.0604240777902791 - 3.098919534936606 - 4.932144306742519 - 6.209988543164719 - 6.684901430448208 - 6.271198375854999 - 5.066373215160935 - 3.3281749010759065 - 1.4126315060100711 - -0.31144031217723467 - -1.549471218658928 - -2.1471222573119926 - -2.118123510360312 - -1.627153431336927 - -0.933243625398074 - -0.31011419537891577 - 0.033728315349050166 - 0.012289224348053419 - -0.31951378470790415 - -0.7912898256317952 - -1.1784375110323677 - -1.280415605234845 - -0.9918098526945466 - -0.3437402698165256 - 0.4982586235248807 - 1.280703222227509 - 1.740072924808307 - 1.689014392744983 - 1.0841299216632296 - 0.05312644362523739 - -1.1294241036962884 - -2.1132109012270317 - -2.5711556436268252 - -2.2978147824599415 - -1.2776508610104322 - 0.298633160582076 - 2.076851648394582 - 3.630979142987638 - 4.57856350766073 - 4.68694216408152 - 3.9391037003114837 - 2.5392501994747296 - 0.8555917302279025 - -0.6835055685466412 - -1.709823905373496 - -2.0166887171697025 - -1.6115757274010767 - -0.7046821796999577 - 0.3623805215955789 - 1.2253751487911964 - 1.6099147686627122 - 1.412908017107018 - 0.728181159617648 - -0.1907857594033964 - -1.01811020834638 - -1.4640124744842937 - -1.369244328078529 - -0.7549405850865982 - 0.18784563930979195 - 1.1647315160867853 - 1.8779450684280428 - 2.125785783774062 - 1.867993344370614 - 1.234966113868437 - 0.4779075517107483 - -0.12268144722540887 - -0.35812152613137893 - -0.16645960457499295 - 0.34606198935413884 - 0.9458663968083013 - 1.362163944406256 - 1.3951925178898978 - 1.0036802381889907 - 0.33827815773059017 - -0.2946954569922871 - -0.5309551885029626 - -0.0769813488355528 - 1.1732955273043837 - 3.0753168565450584 - 5.24970600993889 - 7.177088567973902 - 8.345320717566038 - 8.403761438594707 - 7.274990447473072 - 5.186604739308106 - 2.6108073807757934 - 0.1293319246641635 - -1.7341194273170846 - -2.6607334522140507 - -2.6161362412290288 - -1.8382695341545594 - -0.7397670706732321 - 0.24047115571162103 - 0.7850896511502717 - 0.7949898172599493 - 0.40284816248446165 - -0.09909842451147884 - -0.38908563978628136 - -0.25512751152063307 - 0.308365963938345 - 1.083425688902842 - 1.698977574191263 - 1.7651238622580006 - 1.0235759871548118 - -0.5405400930311586 - -2.6677629949100665 - -4.888523971466784 - -6.6631130648931975 - -7.5506115612294895 - -7.348895663701077 - -6.157163081818678 - -4.3391692052232855 - -2.4000854621659005 - -0.8202072939109835 - 0.09630336729698423 - 0.30534318837760244 - 0.011849206438480668 - -0.42920695595813707 - -0.6610155996335415 - -0.4660970579149764 - 0.1523281102162837 - 0.9784524176951925 - 1.6770027229329036 - 1.9344271680242895 - 1.5926892261680285 - 0.7227735390070994 - -0.39210814459968263 - -1.3588998001132526 - -1.8245149657310549 - -1.6156010887848582 - -0.8132590539506204 - 0.2684953657853902 - 1.1953411803623974 - 1.575829988164873 - 1.2139900605624547 - 0.19252943248926888 - -1.1472538740237312 - -2.3242029190314804 - -2.8923098468308757 - -2.6072075143024094 - -1.521130528751835 - 0.030835246527952328 - 1.5498828740251356 - 2.5546667047577953 - 2.757035168071208 - 2.165990598783314 - 1.0800594137770958 - -0.029665429704745113 - -0.7018093610130881 - -0.6629713699472269 - 0.06640603307325486 - 1.179597149747366 positive_zeros: - '1.71510952892384484279799066132882' - '2.76368165776181243297415920056189' - '3.64011536411592464163751034646623' - '5.04415825064435219545266126213797' - '5.89716524097191964511446655191715' - '6.54701416554594182821886254657791' - '7.66286784669392185369210752827749' - '8.770141544113495597176885643116318' - '9.332503435059081301630500741280913' - '10.02366877665213065412515847564765' prelabel: 2-975-5.4-c1-0 primitive: true rational: false root_analytic_conductor: 2.790235509249146 root_angle: 0.35241638234956674 root_number: 0.44721359549995804 + 0.8944271909999159*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.176208191175' prec: 47 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '1.71510952892384484279799066133' prec: 103 z2: __RealLiteral__: 0 data: '2.76368165776181243297415920056' prec: 103 z3: __RealLiteral__: 0 data: '3.64011536411592464163751034647' prec: 103 - - algebraic: true analytic_conductor: 7.785414197074841 bad_primes: - 3 - 5 - 13 central_character: '5.4' conductor: 975 conductor_radical: 195 degree: 2 id: 18715119 index: 27 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/975/2/c/i/274/4 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: 2-975-5.4-c1-0-27 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: 2-975-5.4-c1-0 primitive: true rational: false root_analytic_conductor: 2.790235509249146 root_angle: 0.17620819117478337 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '1.71510952892384484279799066133' prec: 103 - - Lhash: '2174159623797467690567360224304' Lhash_array: - '2174159623797467690567360224304' id: 19081304 label: 2-975-5.4-c1-0-27 type: CMF url: ModularForm/GL2/Q/holomorphic/975/2/c/i/274/4 label_cols: - label - label - label labels: - 2-975-5.4-c1-0-27 - 2-975-5.4-c1-0-27 - 2-975-5.4-c1-0-27 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-19T09:41:50.020574'