data: - - Lhash: '3164938222223678333082346959784' a10: - 1.9283941500475388 - -1.131943462396612 a2: - 0.28173255684142967 - 0.9594929736144974 a3: - 1.9597210854175349 - -1.698107986922939 a4: - -0.8412535328311812 - 0.5406408174555976 a5: - -0.5428003842074665 - -2.1691859631908526 a6: - 2.1814399139819627 - 1.4019263067536483 a7: - -0.7486746209332377 - -0.3419082430889544 a8: - -0.7557495743542583 - -0.6548607339452851 a9: - 0.529991482558749 - -3.6861717289348155 accuracy: 100 algebraic: true analytic_conductor: 1.8365592464894498 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - -0.28173255684142967 - -0.9594929736144974 - - 5 - - - 1.0 - 0 - - 0.5428003842074665 - 2.1691859631908526 - - 23 - - - 1.0 - 0 - - 4.762160899512085 - -0.5672949560486567 bad_primes: - 2 - 5 - 23 central_character: '230.9' coefficient_field: CDF conductor: 230 conductor_radical: 230 conjugate: '2004265010753796382203028695842' degree: 2 euler_factors: - - - 1.0 - 0 - - -0.28173255684142967 - -0.9594929736144974 - - - 1.0 - 0 - - -1.9597210854175349 - 1.698107986922939 - - 0.4269445148198554 - -2.9694643256427984 - - - 1.0 - 0 - - 0.5428003842074665 - 2.1691859631908526 - - - 1.0 - 0 - - 0.7486746209332377 - 0.3419082430889544 - - 4.584025137616996 - 5.290247020479808 - - - 1.0 - 0 - - -4.659134148510713 - -1.368045220156584 - - 9.253788861142993 - 5.947048992011573 - - - 1.0 - 0 - - 1.4011419794456732 - -0.6398801016031367 - - 8.513189541288705 - -9.824744466605358 - - - 1.0 - 0 - - 2.112704666988113 - -3.2874326309604696 - - -7.062055221032069 - -15.463743921026813 - - - 1.0 - 0 - - -4.154382442282953 - 2.6698594798885207 - - 7.892885247035842 - -17.28300791173585 - - - 1.0 - 0 - - 4.762160899512085 - -0.5672949560486567 - - - 1.0 - 0 - - -3.2302702550039157 - -2.0759686385986105 - - 12.047035377054707 - 26.379327865281034 - - - 1.0 - 0 - - 5.447003978366418 - -6.286177693622901 - - -4.411759986471839 - -30.684464698308915 - - - 1.0 - 0 - - -4.749862041099759 - -0.6829270609808052 - - 35.5012400237364 - 10.424104603132898 - - - 1.0 - 0 - - -0.5369595037993576 - -3.7346353811802113 - - -39.339211918194394 - 11.551034830498617 - - - 1.0 - 0 - - 0.9996826123692358 - -0.8662299145954776 - - 6.119538045751261 - -42.56232200088011 - - - 1.0 - 0 - - 0 - -6.162847290735263 - - -47.0 - 0 - - - 1.0 - 0 - - 5.782671707785155 - 2.6408576819452994 - - 34.70761889910011 - 40.054727440775686 - - - 1.0 - 0 - - -0.5420720560075621 - -1.1869722337883968 - - -38.63678330277182 - 44.58922488690124 - - - 1.0 - 0 - - -8.651009874308627 - 9.983797609690694 - - -8.681205134670394 - -60.379107954736895 - - - 1.0 - 0 - - 4.595994510029743 - 15.652519852813345 - - -56.363986699689136 - 36.22293476952504 - - - 1.0 - 0 - - 9.624769384990865 - -2.826087279855428 - - 59.72900083101386 - -38.385498039347425 - - - 1.0 - 0 - - -3.34358045610267 - -5.2027127441828345 - - -30.325295949137708 - 66.40313566087984 - - - 1.0 - 0 - - 2.955558641912866 - 6.471770688793768 - - -51.73399798167752 - 59.704216373986405 - - - 1.0 - 0 - - 11.800854478934772 - 1.6967067246641814 - - 79.63791681000329 - 23.383802217838664 - - - 1.0 - 0 - - -3.587327720058241 - -4.139996883260628 - - -12.666020606322377 - 88.094108327403 - - - 1.0 - 0 - - -11.250808567866956 - 1.6176220619519401 - - 93.07081844060625 - -27.32805801361868 - - - 1.0 - 0 - - -1.2482501121824687 - 8.681770227612446 - - -96.90879033506424 - -28.4549882409844 - - - 1.0 - 0 - - -0.7117080963384123 - 2.4238551815138916 - - -86.64911388161165 - -55.68600419792655 - - - 1.0 - 0 - - -10.63695909115474 - -9.216977519744356 - - 15.22768769524151 - 105.9108942812598 - - - 1.0 - 0 - - 0.0006315978847783323 - 0.00040590331380909405 - - 45.28023641720562 - 99.1498874936425 - - - 1.0 - 0 - - -1.2820148373431863 - -4.3661415716063665 - - -95.06164920992347 - 61.09241237248253 gamma_factors: - [] - - 0 group: GL2 id: 9705175 index: 9 label: 2-230-115.9-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/230/2/j/a/9/12 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 1.7320858826067935 - 1.7885812759347581 - 1.858131224362234 - 1.9387376877600977 - 2.0259542227977905 - 2.113459036407684 - 2.1936875699153413 - 2.258434761948843 - 2.299411666209387 - 2.3087793828303425 - 2.2796852359929205 - 2.2068084784929454 - 2.086900023514659 - 1.919280522194313 - 1.7062465932717419 - 1.453327247790206 - 1.169332066524743 - 0.8661398817288498 - 0.5581917776033526 - 0.2616748830157594 - -0.006587300438296097 - -0.23048828498011106 - -0.3961500209759847 - -0.4934725153762425 - -0.5175737018250509 - -0.46995414320705825 - -0.35921858078038765 - -0.20120211073864813 - -0.018384801373496688 - 0.16146526930045915 - 0.3074068990195204 - 0.38809904000158035 - 0.3750427547646349 - 0.24601760485090934 - -0.011629444818861754 - -0.3982241218006301 - -0.8999171876553603 - -1.4880893065175975 - -2.1202586551698266 - -2.742607453121004 - -3.2940748514082805 - -3.711775436458966 - -3.937315259935309 - -3.923414256624618 - -3.6401292032674446 - -3.0799265059403895 - -2.2608947505047503 - -1.2275199110194166 - -0.048667033699236285 - 1.187295491704231 - 2.3799576605252404 - 3.4263038027835564 - 4.231209171713382 - 4.717864399260808 - 4.836896854192163 - 4.573007334697763 - 3.9481470415601154 - 3.0206123762889643 - 1.8799012331827163 - 0.6377020983448851 - -0.5840898124022781 - -1.666989460217482 - -2.5095324606955516 - -3.0391409864830874 - -3.220640173937022 - -3.060185389307248 - -2.6039241520686183 - -1.931411889996794 - -1.1445363266963946 - -0.35337562214631557 - 0.3390840596465241 - 0.8512021389386002 - 1.1338064530185405 - 1.176472531942474 - 1.0079180124136438 - 0.6903379918012884 - 0.3084454652573319 - -0.045154359849841064 - -0.2859795887538999 - -0.35248867977899173 - -0.21720556544049754 - 0.10782972164840098 - 0.5724004582043805 - 1.0962588402788103 - 1.5829339390456274 - 1.937031235919424 - 2.082143221581328 - 1.9762396502596058 - 1.6216854671622785 - 1.0678277066778645 - 0.40529189698528995 - -0.2474530768654263 - -0.763303099701508 - -1.0284107825181292 - -0.9630286013612049 - -0.5375585641184318 - 0.21927755110784594 - 1.2219841943779264 - 2.3397445699257657 - 3.4162039223320733 - 4.2944389069516244 - 4.842895742712541 - 4.97772799504179 - 4.677436670759654 - 3.9869650546853763 - 3.01023333939657 - 1.8921972471941908 - 0.7934960287205971 - -0.13776433117103545 - -0.7918741353747527 - -1.1161126852631202 - -1.1224172137118646 - -0.8824963394330237 - -0.5111747111446803 - -0.14111109730237045 - 0.10614594844899325 - 0.14690160799563584 - -0.04575767121931603 - -0.4350675101856697 - -0.9276100104521894 - -1.393328404937975 - -1.694835987781417 - -1.7201850942831844 - -1.4122239732276087 - -0.7880048945236068 - 0.05657933825179396 - 0.9589407746665997 - 1.7173450964448322 - 2.129190707649141 - 2.0328322918595974 - 1.3445945008370426 - 0.08311050746774303 - -1.624747874113466 - -3.5586637670341923 - -5.438645719419859 - -6.9721293502913335 - -7.905839536411215 - -8.072536475363266 - -7.423416888789758 - -6.039484751600468 - -4.119187114649422 - -1.9442547604088005 - 0.16994647123007064 - 1.930072962099218 - 3.1156942648511747 - 3.615540013707819 - 3.4421670299407645 - 2.722511199499619 - 1.6667360216370606 - 0.5222370107871374 - -0.47734884304901093 - -1.1574016408595798 - -1.4325543170149087 - -1.3160580499936259 - -0.9071242617841498 - -0.3599910947404408 - 0.15753210709884868 - 0.5060876960662574 - 0.6075134392403937 - 0.46085396737964573 - 0.13830975409074922 - -0.23732203379148462 - -0.527673408547933 - -0.6172462865479668 - -0.4454220258434245 - -0.02383098020115477 - 0.5654315080836141 - 1.1903884178816084 - 1.7033627386948558 - 1.9799481247252797 - 1.9525288156460145 - 1.6292781301335018 - 1.0931132212822565 - 0.4801834169672328 - -0.05713041153673423 - -0.3934023141433106 - -0.46813651105296816 - -0.30791068475376526 - -0.025648748357692992 - 0.20440958551872698 - 0.19118028223603512 - -0.21962306859194433 - -1.0960407064592455 - -2.3878397431808183 - -3.921629109062387 - -5.426657451430805 - -6.587393386089471 - -7.1120800513197135 - -6.801833788938076 - -5.603784252179463 - -3.634668914065944 - -1.1676655009716777 - 1.416342322018423 - 3.703395055506949 - 5.330843148755843 - 6.062536186063754 - 5.837512121975784 - 4.78072148864735 - 3.1730347200835154 - 1.3873084746020738 - -0.1946833099546507 - -1.2651078239257632 - -1.6534888416593316 - -1.3562375691469426 - -0.5261795303984085 - 0.5742363025443562 - 1.6435178950100857 - 2.4173214257035665 - 2.731051809106047 - 2.5535377590509776 - 1.9842089747754073 - 1.2158501810634927 - 0.474023388587975 - -0.049731964331488084 - -0.25238652435525977 - -0.14662099976497117 - 0.14662713843354652 - 0.4380040180377649 - 0.530640304016482 - 0.28476936576905026 - -0.3325738123522213 - -1.2275581585514121 - -2.1960311490056608 - -2.9731688343790017 - -3.3036393382918465 - -3.0135309166937136 - -2.0642320780888808 - -0.5728098622718222 - 1.2078682180825893 - 2.9452775194608143 - 4.30576378136367 - 5.035261372897262 - 5.0210637965652785 - 4.318276066169436 - 3.1338401476004103 - 1.7723043923914885 - 0.5577393101783547 - -0.24743122983475863 - -0.5051916665828508 - -0.22995099950304648 - 0.4248965666861254 - 1.2171367963993238 - 1.8878356732215502 - 2.2347268697993696 - 2.1662396392810517 - 1.721379574330949 - 1.050718913620886 - 0.3650963099503918 - -0.13201376794948533 - -0.3078577560215238 - -0.1403361649619842 - 0.2774749900267598 - 0.7694135726060446 - 1.1348977562019482 - 1.2158276389180094 - 0.9505545777548154 - 0.397375439908597 positive_zeros: - '2.49669603095195071277447339779793' - '3.51234697036857538834673685058290' - '4.24546921143739634323551555560554' - '6.00496782366285356268119163846132' - '7.43919280320763187298832281636365' - '8.685537258413761766838956108123842' - '9.607235155372955392191165554088603' - '10.09001847681153271283301298815373' - '11.32582284503230646325383987066221' - '11.96833196760558992292371513770099' prelabel: 2-230-115.9-c1-0 primitive: true rational: false root_analytic_conductor: 1.355197124587213 root_angle: 0.11882667901423716 root_number: 0.9311271089008094 + 0.36469481360449896*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.0594133395071' prec: 50 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '2.49669603095195071277447339780' prec: 103 z2: __RealLiteral__: 0 data: '3.51234697036857538834673685058' prec: 103 z3: __RealLiteral__: 0 data: '4.24546921143739634323551555561' prec: 103 - - algebraic: true analytic_conductor: 1.8365592464894498 bad_primes: - 2 - 5 - 23 central_character: '115.9' conductor: 230 conductor_radical: 230 degree: 2 id: 9705175 index: 9 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/230/2/j/a/9/12 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: 2-230-115.9-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: 2-230-115.9-c1-0 primitive: true rational: false root_analytic_conductor: 1.355197124587213 root_angle: 0.05941333950711858 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '2.49669603095195071277447339780' prec: 103 - - Lhash: '3164938222223678333082346959784' Lhash_array: - '3164938222223678333082346959784' id: 10071207 label: 2-230-115.9-c1-0-9 type: CMF url: ModularForm/GL2/Q/holomorphic/230/2/j/a/9/12 label_cols: - label - label - label labels: - 2-230-115.9-c1-0-9 - 2-230-115.9-c1-0-9 - 2-230-115.9-c1-0-9 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-19T21:46:28.574257'