data: - - Lhash: '1976478569461407176700650851709' a10: - -1.1582302082198792 - 0.0 a2: - 0.0 - -1.6581596006229704 a3: - 2.316236375055988 - 1.906580461157487 a4: - 1.2505067388618711 - 0.0 a5: - 0.0 - -0.6985034539405809 a6: - 3.1614146960284577 - -3.840689582611234 a7: - 2.60911034347268 - 0.0 a8: - 0.0 - -8.706178157179416 a9: - 1.7299018902650078 - 8.832182032207983 accuracy: 100 algebraic: true analytic_conductor: 9.89103359627878 analytic_normalization: __RealLiteral__: 0 data: '1.0' prec: 10 bad_lfactors: - - 3 - - - 1.0 - 0 - - -2.316236375055988 - -1.906580461157487 - - 11 - - - 1.0 - 0 - - 0 - 0 bad_primes: - 3 - 11 central_character: '363.122' coefficient_field: CDF conductor: 363 conductor_radical: 33 conjugate: '1820673403878735496628845989300' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 1.6581596006229704 - - -4.0 - 0 - - - 1.0 - 0 - - -2.316236375055988 - -1.906580461157487 - - - 1.0 - 0 - - 0 - 0.6985034539405809 - - -25.0 - 0 - - - 1.0 - 0 - - -2.60911034347268 - 0 - - 49.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - -17.11694087958112 - 0 - - 169.0 - 0 - - - 1.0 - 0 - - 0 - 16.112548383568473 - - -289.0 - 0 - - - 1.0 - 0 - - 15.926344987999695 - 0 - - 361.0 - 0 - - - 1.0 - 0 - - 0 - -23.129451390306038 - - -529.0 - 0 - - - 1.0 - 0 - - 0 - 5.3659171851598355 - - -841.0 - 0 - - - 1.0 - 0 - - 4.062594363325142 - 0 - - 961.0 - 0 - - - 1.0 - 0 - - -63.531162526242305 - 0 - - 1369.0 - 0 - - - 1.0 - 0 - - 0 - -67.43775472186516 - - -1681.0 - 0 - - - 1.0 - 0 - - 22.66220413236843 - 0 - - 1849.0 - 0 - - - 1.0 - 0 - - 0 - 73.82084784993822 - - -2209.0 - 0 - - - 1.0 - 0 - - 0 - 42.85116852932472 - - -2809.0 - 0 - - - 1.0 - 0 - - 0 - -28.738099341193244 - - -3481.0 - 0 - - - 1.0 - 0 - - 46.301285463035434 - 0 - - 3721.0 - 0 - - - 1.0 - 0 - - 77.28207539717032 - 0 - - 4489.0 - 0 - - - 1.0 - 0 - - 0 - 41.26286307738324 - - -5041.0 - 0 - - - 1.0 - 0 - - 56.77290488271703 - 0 - - 5329.0 - 0 - - - 1.0 - 0 - - 50.925313067143165 - 0 - - 6241.0 - 0 - - - 1.0 - 0 - - 0 - -59.209769130031646 - - -6889.0 - 0 - - - 1.0 - 0 - - 0 - 38.19092857715071 - - -7921.0 - 0 - - - 1.0 - 0 - - -16.29241103269782 - 0 - - 9409.0 - 0 - - - 1.0 - 0 - - 0 - -104.19443370252785 - - -10201.0 - 0 - - - 1.0 - 0 - - -54.40650842274141 - 0 - - 10609.0 - 0 - - - 1.0 - 0 - - 0 - -28.406775271416556 - - -11449.0 - 0 - - - 1.0 - 0 - - 41.25397610106508 - 0 - - 11881.0 - 0 - - - 1.0 - 0 - - 0 - -145.178009749054 - - -12769.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 14923952 index: 40 label: 2-363-3.2-c2-0-40 load_key: CMFs-workshop motivic_weight: 2 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 2 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/363/3/b/m/122/4 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 2.698492421212153 - 2.7383924633256305 - 2.742265264336852 - 2.706879243270163 - 2.628039586213132 - 2.501188741829743 - 2.3222165213515247 - 2.0883926430420487 - 1.7993265494317632 - 1.4578576864287116 - 1.0707804084341837 - 0.6493104691302004 - 0.20920647869893882 - -0.2295272516534572 - -0.6434076526881253 - -1.0067275463005552 - -1.2932721339839675 - -1.4784194842262817 - -1.5414913315868586 - -1.4681667956723556 - -1.2527272794472921 - -0.8998734853887151 - -0.42585237767615325 - 0.141341375721406 - 0.7628655107717118 - 1.3911164496913546 - 1.9729681351040398 - 2.4539944098043347 - 2.7833673124741827 - 2.9189988057968765 - 2.832400742228957 - 2.5126947368461168 - 1.9692239198053438 - 1.2323099561267519 - 0.35186051490139797 - -0.6062459857593469 - -1.5658105569268639 - -2.4475398803161017 - -3.1771437891593894 - -3.6934152316158984 - -3.9553155990802336 - -3.9471201662780535 - -3.6808412160213146 - -3.195433341233538 - -2.5526704253609966 - -1.83002297765535 - -1.1113002260410227 - -0.47618935556998365 - 0.009937335740052705 - 0.304517214741542 - 0.393311027505702 - 0.2920046944569939 - 0.04349145775946631 - -0.2889442149254529 - -0.6316735613184069 - -0.9125725427236805 - -1.0728661297662672 - -1.0770450927643622 - -0.919122307424457 - -0.6239879710682512 - -0.24336356326780875 - 0.15325953130146083 - 0.49141696371790405 - 0.7061757733072436 - 0.7558585697536553 - 0.6324368298771966 - 0.3664240727908131 - 0.02490012824733498 - -0.2975857101850847 - -0.49422182390545505 - -0.46504418371082873 - -0.13683290383595628 - 0.5197500867795023 - 1.479155444048606 - 2.658647600206176 - 3.925950769917582 - 5.116397828832021 - 6.057393092515503 - 6.596499694020861 - 6.628504896935529 - 6.116623961494885 - 5.103673786638749 - 3.7105276409828063 - 2.121242378886943 - 0.5565908729374179 - -0.7600794285998306 - -1.639123147774351 - -1.9567633480443878 - -1.6772988483330473 - -0.8610002080547382 - 0.3442751910818406 - 1.7268467840539565 - 3.046606238147131 - 4.076022064445004 - 4.639487856982362 - 4.643826856843554 - 4.094210915058843 - 3.0923440550431915 - 1.8170419562980689 - 0.49069248127955295 - -0.6621500343433511 - -1.4561724697494303 - -1.7787528727017405 - -1.608979695022604 - -1.018580992377701 - -0.15470675581512455 - 0.7918220537923826 - 1.6262056322378649 - 2.189059024844246 - 2.3873289796542054 - 2.2103497260088543 - 1.7278326694148105 - 1.0704904832582838 - 0.3977907150845148 - -0.13981968000054953 - -0.4356313966660586 - -0.4504117049334327 - -0.21971921871443686 - 0.1568926459310481 - 0.5422571546712058 - 0.7973277575278088 - 0.8177069835682816 - 0.5620567775889913 - 0.06522875158243877 - -0.5675332413570441 - -1.184468321540874 - -1.6239620753606732 - -1.7553953422381379 - -1.5142290851059979 - -0.9223993515926899 - -0.08833592768146475 - 0.8143221455447381 - 1.5850572403305527 - 2.043232236607094 - 2.07222410380798 - 1.650046577027986 - 0.8584219286404883 - -0.13279811072990233 - -1.1030515690646077 - -1.8320477622786633 - -2.1523780003906117 - -1.990959974083803 - -1.3887831578113126 - -0.4933809604974417 - 0.47501043565112516 - 1.2760984748198991 - 1.708548885495204 - 1.6609196901214587 - 1.1415914649732757 - 0.279591123828448 - -0.7047627521617358 - -1.5529118957464938 - -2.0321410958442443 - -1.9948278668400485 - -1.4177122176417023 - -0.4106365620969382 - 0.8083446993683756 - 1.9660830868026196 - 2.8028622339121196 - 3.1391298508859586 - 2.923124319156222 - 2.246438448125284 - 1.3224209979995833 - 0.431777665303178 - -0.1515919301640644 - -0.2358719189048696 - 0.23191139598204813 - 1.1432187152529925 - 2.246742122685864 - 3.2054672847237184 - 3.6789737774221374 - 3.4109528667634885 - 2.299912553940798 - 0.4346260773069835 - -1.9157104657040682 - -4.355462494798166 - -6.4484007636576255 - -7.8149133923787915 - -8.216983522312791 - -7.610196828079963 - -6.15021867901792 - -4.152593775162232 - -2.0164250752593396 - -0.13143356469883907 - 1.2082546548446433 - 1.862497901541983 - 1.8623250042131003 - 1.3836222658412698 - 0.686475095237721 - 0.038039725409181754 - -0.3595183703270273 - -0.41680683483197734 - -0.16906298311519094 - 0.24896034098024092 - 0.6555355963806445 - 0.8848333364526665 - 0.8406551976055632 - 0.5249780857939985 - 0.03341080748604987 - -0.4799250385649253 - -0.8560525987717493 - -0.9855542780509984 - -0.8457770297168771 - -0.5083445897158746 - -0.1140163991274811 - 0.17740483863061043 - 0.24593903326466907 - 0.05934092177075688 - -0.3069940892569479 - -0.6868804012367078 - -0.8741411657946443 - -0.6932251317687127 - -0.06800128383040638 - 0.9340373381254887 - 2.098954996291318 - 3.1100904850423543 - 3.6294014443829514 - 3.3952208979037 - 2.3085187138952 - 0.4810456156391209 - -1.7719218800416139 - -3.9964615097931335 - -5.708136032180674 - -6.515689343173799 - -6.226681020752161 - -4.904938280603781 - -2.8620323689812 - -0.5828885550815506 - 1.3958889368219862 - 2.6226919409657383 - 2.845466287203614 - 2.0726927563212905 - 0.5640604722848154 - -1.2462053064563703 - -2.871390043332749 - -3.904957303239504 - -4.126314273969922 - -3.5502772012743287 - -2.4075137604676367 - -1.0635611125001645 - 0.09804186172600587 - 0.79276245260182 - 0.9170521048389839 - 0.5712881008565246 - 0.0180167255232883 - -0.4102439897227052 - -0.42398762072016727 - 0.12531340457456464 - 1.1930762290532186 - 2.5515780149149263 - 3.858709350041283 - 4.763693943392915 - 5.016345790930719 - 4.545363049083982 - 3.480975026699517 - 2.1148774250195843 - 0.8102424685272259 positive_zeros: - '1.55916667345525612497982650864727' - '2.84529142656888042313113446735602' - '4.29657862250094771026318062361040' - '5.99687608009064779004291041054203' - '6.51765018431180009396217571991535' - '7.57578324653428369209604284105374' - '8.383927458760950376149750532748686' - '8.907001552324668258316509143634720' - '10.54893521600205500877438773760876' - '11.21706155811415152002589692430315' prelabel: 2-363-3.2-c2-0 primitive: true rational: false root_analytic_conductor: 3.145001366657697 root_angle: 0.21921704838868245 root_number: 0.7720787916853293 + 0.6355268203858291*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.109608524194' prec: 47 spectral_label: c2-0 types: - CMF z1: __RealLiteral__: 0 data: '1.55916667345525612497982650865' prec: 103 z2: __RealLiteral__: 0 data: '2.84529142656888042313113446736' prec: 103 z3: __RealLiteral__: 0 data: '4.29657862250094771026318062361' prec: 103 - - algebraic: true analytic_conductor: 9.89103359627878 bad_primes: - 3 - 11 central_character: '3.2' conductor: 363 conductor_radical: 33 degree: 2 id: 14923952 index: 40 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/363/3/b/m/122/4 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: 2-363-3.2-c2-0-40 motivic_weight: 2 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 2 order_of_vanishing: 0 prelabel: 2-363-3.2-c2-0 primitive: true rational: false root_analytic_conductor: 3.145001366657697 root_angle: 0.10960852419434122 self_dual: false spectral_label: c2-0 z1: __RealLiteral__: 0 data: '1.55916667345525612497982650865' prec: 103 - - Lhash: '1976478569461407176700650851709' Lhash_array: - '1976478569461407176700650851709' id: 15290009 label: 2-363-3.2-c2-0-40 type: CMF url: ModularForm/GL2/Q/holomorphic/363/3/b/m/122/4 label_cols: - label - label - label labels: - 2-363-3.2-c2-0-40 - 2-363-3.2-c2-0-40 - 2-363-3.2-c2-0-40 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-05-01T07:07:34.953501'