data: - - Lhash: dirichlet_L_152.75 a10: - 1.0 - 0.0 a2: - 1.0 - 0.0 a3: - -1.0 - 0.0 a4: - 1.0 - 0.0 a5: - -1.0 - 0.0 a6: - 1.0 - 0.0 a7: - -1.0 - 0.0 a8: - 1.0 - 0.0 a9: - 1.0 - 0.0 algebraic: true analytic_conductor: 0.7058850323971985 analytic_normalization: 0 bad_lfactors: - - 2 - - 1 - - 19 - - 1 bad_primes: - 2 - 19 central_character: '152.75' coeff_info: - x^2 - 1 - -1 - \\zeta_{2} conductor: 152 conductor_radical: 38 conjugate: dirichlet_L_152.75 degree: 1 dirichlet_coefficients: - 1 - 0 - -1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - 0 - 0 - 1 - 0 - -1 - 0 - 1 - 0 - -1 - 0 - 1 - 0 - 1 - 0 - -1 - 0 - 1 - 0 - 1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - -1 - 0 - 1 - 0 - -1 - 0 - 0 - 0 - -1 - 0 - -1 - 0 - -1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - -1 - 0 - -1 - 0 - -1 - 0 - -1 - 0 - -1 - 0 - 0 - 0 - -1 - 0 - 1 - 0 euler_factors: - - 0 - - 1 - -1 - - 1 - -1 - - 1 - -1 - - 1 - 1 - - 1 - 1 - - 1 - 1 - - 0 - - 1 - -1 - - 1 - 1 - - 1 - 1 - - 1 - 1 - - 1 - -1 - - 1 - 1 - - 1 - -1 - - 1 - 1 - - 1 - -1 - - 1 - -1 - - 1 - -1 - - 1 - 1 - - 1 - 1 - - 1 - 1 - - 1 - 1 - - 1 - -1 - - 1 - -1 - - 1 - -1 gamma_factors: - - 0 - [] id: 4316 index: 0 label: 1-152-152.75-r0-0-0 leading_term: '0.660778362428764267591963920224' load_key: dirichlet motivic_weight: 0 mu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 mu_real: - 0 nu_imag: [] nu_real_doubled: [] order_of_vanishing: 0 origin: Character/Dirichlet/152/75 plot_delta: __RealLiteral__: 0 data: '0.3125' prec: 20 plot_values: - 0.6607783624287643 - 0.6889553579720985 - 0.5887466547957448 - 0.10765588095686511 - -0.8206416744661602 - -2.0412715249496034 - -3.213184534047413 - -3.9188649195969347 - -3.8353524746717347 - -2.9039917835902975 - -1.4113583728385206 - 0.08446157715878963 - 0.9794472580344603 - 0.9115834559791545 - -0.03448923344831772 - -1.3344110457556226 - -2.2723658256635844 - -2.3230852995726172 - -1.4617344934206886 - -0.20713587711293888 - 0.6607567581403739 - 0.5726496910853689 - -0.4446196720276183 - -1.726029567596073 - -2.3371458945104373 - -1.6601094941434247 - 0.16405688252479078 - 2.2443465775143534 - 3.4396406735298415 - 3.0634157058999554 - 1.34149569827637 - -0.7003156825512955 - -1.8770842394660827 - -1.6051509756053854 - -0.2649997105115842 - 1.0981839130624065 - 1.5403572494498956 - 0.906715461824345 - -0.07072659776799473 - -0.36146830263918495 - 0.5113876969895454 - 2.0075871687171505 - 2.8896992277622786 - 2.137750623731014 - -0.21109945126208673 - -2.9602096977609293 - -4.523648847327915 - -4.034198299878721 - -1.9612359421117154 - 0.2486817518477414 - 1.2535643597315087 - 0.792128292138693 - -0.20833124168763523 - -0.47414649431580874 - 0.5093546997812877 - 2.0445313796747215 - 2.8109774884867793 - 2.0181807296932006 - 0.14418143527710353 - -1.400490432115924 - -1.4449801579294754 - -0.08957667345256742 - 1.3107038300093556 - 1.2567547896418776 - -0.5906739123147032 - -3.029014380140339 - -4.2265595945320085 - -3.2034154945266433 - -0.641135537604159 - 1.6745286541041098 - 2.310632750642509 - 1.2970064184921202 - -0.05620175735067307 - -0.43821368385499765 - 0.258622825253724 - 0.9134896569075626 - 0.3523412000432514 - -1.3794635830669337 - -2.880188201195339 - -2.5993657432098884 - -0.3300734679631239 - 2.410082097359523 - 3.5488395568754645 - 2.204235886747578 - -0.545586564221566 - -2.582523085921478 - -2.554440476134088 - -0.9509115510563491 - 0.5003356776538377 - 0.5148912172531912 - -0.5830859586606902 - -1.2973813918943717 - -0.5404348106281263 - 1.209445962880428 - 2.3380517929301736 - 1.7212519106206718 - -0.05294693497347132 - -1.1262972544869094 - -0.12994517798767635 - 2.4147287325673097 - 4.457486113688625 - 4.276366602699239 - 2.0915365627523177 - -0.1223649697676878 - -0.4759780796956655 - 1.0909355318982852 - 2.8281196408225746 - 2.913525033327634 - 1.1969686200969913 - -0.7486350925515322 - -1.2655507489341926 - -0.24674681207374924 - 0.8981157195479657 - 0.8841963889800314 - 0.05689218112426842 - 0.12154644921129618 - 2.2863843376182347 - 5.71152979752502 - 7.954379458456353 - 7.124577758500385 - 3.6854546155508596 - 0.10113890221320013 - -1.372440771615807 - -0.613318921470724 - 0.5689639317930858 - 0.45873539600174296 - -0.8403400922782226 - -1.7236652311156269 - -1.0168691481890186 - 0.6085541402244826 - 1.2949026560283954 - 0.048128896165576876 - -2.048007533780012 - -2.843810735062642 - -1.3779303248742472 - 1.0070557761332006 - 1.9496380915110638 - 0.4970632426592545 - -1.8479410538355814 - -2.6049632308903536 - -0.8332735734085849 - 1.909231121101417 - 3.154562929524663 - 1.9912337994647564 - -0.157045970361639 - -1.1858104594711785 - -0.5526157852968644 - 0.3144196805656961 - -0.18505139056435754 - -1.8845744150380515 - -2.9863241389958413 - -2.160018878335467 - -0.2453950118252511 - 0.4535270625810779 - -1.342197750497137 - -4.293189789640731 - -5.583125332163032 - -3.7203903460241747 - -0.08249882431981741 - 2.4391646748300793 - 2.27213940671004 - 0.5060090001298144 - -0.5673776965646248 - 0.00756136048159067 - 1.0438589398156701 - 0.9143705231033213 - -0.31574500154441776 - -0.8641266441452586 - 0.6071304317477948 - 3.1521774675706915 - 4.271197848150582 - 2.565686103172339 - -0.6004396065601728 - -2.379293916071254 - -1.3735312750870574 - 0.9481552181866895 - 1.9118817607093248 - 0.5518511902957985 - -1.4263870708311206 - -1.650464457355211 - 0.23738042844259097 - 2.2270630182273603 - 2.2480614906589187 - 0.45920116427587954 - -1.077097832848911 - -0.8758060549731015 - 0.2901928717728062 - 0.49816622732695764 - -0.7592256273662883 - -1.6762586454454182 - -0.13886232030027498 - 3.57914626288571 - 6.620122772555835 - 6.303877323102156 - 2.909846207551938 - -0.5950317173985276 - -1.603075176343556 - -0.3423611561436995 - 0.8471937747372814 - 0.41000401065821684 - -0.7703322184364712 - -0.766951638842236 - 0.7890687350009018 - 2.134090762236807 - 1.5514333803224276 - -0.3621916875280445 - -1.2077201721919342 - 0.3701887895114535 - 2.847010635441801 - 3.3083401384664723 - 0.7148178051891131 - -2.789490213449964 - -4.10495441620637 - -2.464860636784157 - -0.07649235460079236 - 0.5334989132408987 - -0.6694078347134325 - -1.4833288738603674 - -0.33748541915129404 - 1.744404852369205 - 2.4211714012345427 - 0.9276413299629858 - -0.9909863321652181 - -1.2618404774201624 - -0.0904814048564053 - 0.2796923028948954 - -1.5411091942350994 - -4.073664946802047 - -4.441251051720507 - -1.7595659370462715 - 1.5623493860389588 - 2.2902913665112954 - -0.13674339755833625 - -3.0736790612359015 - -3.657088734814174 - -1.8044340625042983 - 0.15358015569418057 - 0.4892777831274233 - -0.05441553957696904 - 0.27968090124280715 - 1.5445059148498335 - 1.745175793198781 - -0.5435377157569707 - -3.8897797686907083 - -5.1427390751663475 - -2.92377283811249 - 0.6521336964379989 - 2.218122771205825 - 0.8481309790210032 - -1.1012586902400041 - -0.9346634145385653 - 1.2136769016462154 - 2.735658366473967 - 1.854097595093744 - -0.23751549966152558 - -0.9662507075767871 - 0.3906806566295536 - 1.9067234899598322 - 1.5785197271214 - -0.06394251374854726 - -0.6785045416761298 - 0.7346457665009828 - 2.3255313163733025 - 1.622176879677347 - -1.1752068974365943 - -3.03547363108262 - -1.519235779582945 - 2.2511509305149975 - 4.713340955407595 - 3.8196286992696886 - 1.1489627160179963 - -0.22675650033675637 - 0.6222623896327875 - 1.7628477166754222 - 1.222178948752754 - -0.4279654544679008 - -1.0148100649084701 - 0.14520200203299938 - 1.2012378398771801 - 0.27493690163325807 - -1.7146573678024288 - -1.7748425401719525 - 1.4744807218219442 - 5.683119225813588 - 7.061657240168749 - 4.532725160084177 - 0.8153969298169162 - -0.8030296100570047 - -0.04290392695093078 - 0.6787067198802121 - -0.2593483748783594 - -1.5992389586847713 - -1.1042333151128942 - 1.2108146025023283 - 2.8582212793920156 - 2.016046403095936 - -0.07831074767366125 - -0.68060555768963 - 0.9034424547488059 - 2.402031875928508 - 1.6034364945131716 - -0.5362165260293256 - -0.8366202390331203 - 2.101091595674383 - 5.840358628077365 - 6.719031287534058 - 4.021715248029702 - 0.6428487630635255 - -0.44907163699049263 - 0.5289129633522034 - 1.0902934410311624 - 0.028528339296047204 - -1.172812311190131 - -0.7689272462908046 - 0.489374113617467 - 0.20732192230120808 - -2.192012910024552 - -4.12053793728538 - -2.7528230178350888 - 1.2709546807003318 - 4.184753995309923 - 3.331420959915372 - 0.16058803022358425 - -1.6858393551769104 - -0.7480104773107403 - 0.8600207031391089 - 0.5512398242894805 - -1.3484883718410203 - -2.2746109438575797 - -1.0305954152441967 - 0.6134381536745657 - 0.4461458669878248 - -1.037401911546021 - -1.2402258100565857 - 0.8813679286813236 - 3.056661526860214 - 2.415396736310176 - -0.7109979455812943 - -2.941827672220904 - -1.9635969104572824 - 0.5987429212785214 - 1.2758242196873446 - -0.8382088399140956 - -2.99618143200839 - -2.353138909414935 - 0.47757690345919235 - 2.3754843244890274 - 1.722680191070906 - 0.1493561410612706 - -0.07131063001797305 - 0.8126263165643748 - 0.6996887192069041 - -0.8923630950498075 - -1.5871129499916077 - 0.780581252274265 - 4.747129307724078 - 6.293411763787829 - 3.4986402863045702 - -1.0121619159605366 - -3.0360908950965513 - -1.5419585567358538 - 0.6412095109208094 - 0.7457507610126629 - -0.6752551966978857 - -1.1967057658001643 - -0.29106917364382817 - -0.07780880053741986 - -2.085485619509991 - -4.670519206365354 - -4.876909310503942 - -2.353375802515466 - 0.05735487764355816 - 0.04013375559313638 - -1.1017192440834194 - -0.25315443878745186 - 3.0934801238251852 - 5.74505595826788 - 4.686193289648896 - 0.9531907427504362 - -1.568880729988525 - -0.8698791832630618 - 1.0495815482305222 - 1.1989971475729368 - -0.46528906245943635 - -1.3896485291966998 - -0.2575930132818347 - 1.17357611364727 - 0.738059553235239 - -0.8685165705173203 - -1.0025532725123611 - 0.9562078049454411 - 2.2133161191933315 - 0.06742501763193032 - -4.170087154653137 - -6.264305627673429 - -4.081749111527077 - -0.1639110383695038 - 1.4551582671834065 - 0.030995976294039516 - -1.581413192519828 - -1.0837047410122718 - 0.4415645271233091 - 0.6269859546097275 - -0.5000681396459494 - -0.6130165946201225 - 1.2361448117325533 - 2.785007140830653 - 1.493025140373524 - -1.6679960256156137 - -3.0059086806620536 - -0.778995972688085 - 2.4330265232211525 - 2.9648175851419567 - 0.7062106096841076 - -0.9956144869024544 - 0.04018493098735093 - 1.9510460408176473 - 1.512427358042367 - -1.3856336016278168 - -3.5658965152713558 - -2.799569690489559 - -0.5752796694816528 - 0.24760588426797542 - -0.6231157392302966 - -0.9647449573463309 - 0.18958043986701115 - 0.7424953712633591 - -1.4118200662374636 - -4.697579186485884 - -5.091265499118568 - -1.1746467457643002 - 3.6464769086837223 - 4.969023105864809 - 2.4810378477451973 - -0.17026133371629038 - -0.26708074449259717 - 0.9449763883490425 - 0.7864932907609388 - -0.7661422883118076 - -1.2513876568195823 - 0.37536188936008447 - 1.99302772196776 - 1.3852254444890262 - -0.31790984753793894 - -0.015085400003106608 - 2.8413635044060865 - 4.9906771864038335 - 3.4897703884119693 - -0.2314157247904715 - -2.021666022148021 - -0.30633801566513413 - 2.0493877684577186 - 1.7378061890833902 - -0.6527861996446043 - -1.7696128570911063 - -0.2613211943326995 - 1.5388508360882989 - 1.1621225334621175 - -0.4683808032022523 - -0.5639709418794624 - 1.2920397873447438 - 2.4403016431799918 - 1.0552585136345765 - -1.0425546819588773 - -0.9430244951097702 - 0.9303719246538038 - 1.0106752067355138 - -2.4660580072327254 - -6.502207792038302 - -6.7108902179069325 - -2.7557534182190144 - 1.3142679716548042 - 2.137657091086777 - 0.6748292245630139 - -0.08253423821742384 - 0.4759429878734145 - 0.364407140508628 - -1.1963420055196048 - -2.039285912482346 - -0.2289952801815892 - 2.5341946025178084 - 2.6813524835457234 - -0.3111874359067786 - -2.7889013416331077 - -1.533758599192844 - 1.9898047821490314 - 3.594290299670504 - 1.8869543184571513 - -0.17536011398683196 - 0.3598174578259732 - 2.4074117162073794 - 2.6807101993455125 - 0.5393478095950817 - -1.136010121151065 - -0.14706675123896315 - 1.9249193775050726 - 2.1471608951456793 - 0.4915887622615375 - -0.38736546288297924 - 0.5268113329830545 - 0.7550650248311643 - -2.004679731065431 - -5.861187130888502 - -6.4985628614121556 - -2.7709310187714884 - 1.5279929844341749 - 2.348288169365256 - 0.2794558119753748 - -0.8301661323117532 - 0.6894141793224082 - 2.434343195408845 - 1.8148611626522024 - -0.22117026949121504 - -0.9143620250528915 - 0.05416721916736143 - 0.312655376506658 - -1.1176607038255946 - -1.778408300749453 - 0.7289240175820292 - 4.602594022415367 - 5.438144489440913 - 1.9190848826723326 - -2.1852532872347683 - -2.6896287754270283 - -0.10136167165982296 - 1.6368410278450822 - 0.6886172149497485 - -0.6678093939923198 - 0.01583776074123271 - 1.582005058421461 - 1.1808662395329084 - -1.1844488532944464 - -2.3992432844920413 - -0.7319407214836684 - 1.5934948991259394 - 1.6384249089180047 - 0.046827420265066866 - -0.043442749747767614 - 2.022281437932324 - 2.9940350147425496 - 0.3025723502944071 - -3.7838358709877475 - -4.636389422760833 - -1.2628601113862765 - 2.4042845378360043 - 2.6548033037540733 - 0.4324334481293026 - -0.760867775724017 - 0.06230212471077538 - 0.6766716546420712 - -0.2507454386621609 - -0.9326915634005594 - 0.40668606208490454 - 2.0387820731879893 - 0.7066879331884794 - -3.3835124580350864 - -6.039787620341758 - -4.4077445137523386 - -0.8890899720671688 - 0.0020185856245345515 - -2.3823521205508342 - -4.26686350897931 - -2.8863601669440127 - -0.11071577344826303 - 0.6346662475039666 - -0.683407863041255 - -1.0955851949142872 - 0.5943763077937214 - 2.017782853114944 - 1.065630619625304 - -0.6424771549177917 - -0.1029148013624263 - 2.3407260795136 - 3.1572184071517566 - 0.7724629078257454 - -1.8471241542512002 - -1.2530631346005312 - 1.4657624035772918 - 2.057921174979398 - -0.9021987166159622 - -3.927978832630484 - -3.4073855393420827 - -0.42128259303322607 - 1.113479372852796 - -0.027044392400370376 - -1.1953310377430797 - -0.29932782653665496 - 1.1346970636196956 - 0.7452674276493292 - -0.6843976118900099 - -0.4956661617207319 - 1.1630223368420471 - 0.7512093473745253 - -3.5384373731579766 - -8.247456993088877 - -8.379663814046074 - -3.7291218881584234 - 0.8773434002013774 - 1.7202595769598226 - 0.20574106661511188 - -0.3313358340282603 - 0.2741102564817107 - -0.49345502544494724 - -3.0846717300843434 - -4.565178181471925 - -2.8892049112335805 - -0.16814506457103234 - 0.2598157765123804 - -1.324461758666827 - -1.633301203490859 - 0.3709185994588583 - 1.5736410435731762 - -0.6953004270768023 - -4.282573935313115 - -4.789773249967229 - -1.6816933356367592 - 0.8838574404619275 - -0.20991911530439036 - -2.9232515298769024 - -3.274640741773456 - -0.9419297338913367 - 0.8179585991851928 - 0.28388361562660047 - -0.5157598629743751 - 0.4539233270067761 - 1.7482731007284051 - 0.847278219727379 - -1.3407666736781538 - -1.2706183271723206 - 1.8127308085445588 - 4.0114696766498374 - 1.8689150870505298 - -2.5946303348653466 - -4.310992164919676 - -1.8457349675275767 - 1.0242262224956213 - 0.8033332645851871 - -1.231464634396496 - -1.6592111129000915 - -0.13224882728942114 - 0.7013487445285973 positive_zeros: - '0.982619117315426971064820658161' - '3.417274095235402145580073033205' - '4.36625746846417773525563403107' - '5.99381677708181103786151993262' - '6.76191662004457664971702246735' - '8.10096198733225825370167169296' - '9.57362478597520850000394415294' - '10.67872541432986864561167177667' - '11.847943451353306640368770761690' - '12.3641412344125729366071751428' - '13.726439311685062036019092725554' - '15.27043925225149444402190729235' - '16.177410472479812603270356473786' - '16.75391232872452868609638625265' - '18.1480462056532279261661683663' - '19.07930720260468266730379929029' - '19.921211032466099821880850754791' - '21.323986033541699543671381978759' - '22.4831171975902518081338606882' - '23.03546517339361911590564687320' - '23.82656002911302603490190355199' - '25.03570656031738438373345491671' - '26.18920732272669110058801228255' - '27.36394729141557122212844072540' - '27.974782612223435936815828812713' - '28.85379784532705409671345875615' - '29.9906534860486284421343121460' - '30.64449834117602843058651343639' - '32.16300190676227387660946889177' - '32.62680869007027856643936060240' - '33.92607885220289549801539220581' - '34.74358791552332087268356202460' - '35.65217431001376536839943012816' - '35.89558842851629077058961110912' - '37.82412195520862323416310130580' - '38.57858833719116950979694421471' - '39.18945905631247503961028374444' - '40.19432585646581859248715573326' - '40.94493773460489506970718604080' - '42.04979312100247268211906465605' - '42.87724058907349767944948551235' - '43.84310059414347250986628686397' - '44.97439462939677177488728109471' - '45.78906033153317837846735483235' - '46.201894355443051964733842210495' - '47.548433249685448315049599414663' - '47.94124584340838631274911649386' - '49.38231028223554561678266542805' - '50.41145144091861539932886819555' - '50.93539868465702685012643228368' - '51.7993400791285193088776311479' - '52.41250385676384459801526070757' - '53.688534308913764076471445571697' - '54.557085395864896851622687169108' - '55.39203569509182022695493327741' - '56.218709859819965768657660875173' - '57.25946490540824131690075554464' - '58.04193583790029486222305260341' - '58.58966398240224722570777532303' - '59.38947108463882798489634392928' - '60.87052542360416136487787032294' - '61.62876577444815514974740725312' - '62.29128259513555690668455806460' - '62.98871687721126607126799118290' - '64.00271249908179056985348318019' - '64.63950762712083727472721675887' - '65.68565997961513232038455794819' - '66.88887394401413883668060758304' - '67.35444101318348939931942253946' - '68.17605784119250003257770284109' - '69.19754828817383993380923409505' - '70.024632713010378533090729192979' - '70.39596759840077812758705143606' - '71.71413571009624693687593556224' - '72.48690065287574792445760730168' - '73.71423720949956241535269548848' - '74.33199773361429242810886349940' - '74.57619135866482861346254068835' - '75.571617469673060141219523315206' - '76.8120252095295144908148064521' - '77.617878739206454705904139299438' - '78.27715694682356608204696365953' - '79.33528357760898193630857650643' - '79.93381822389055419710109152521' - '80.92451649600220341239666657641' - '81.43917706283982243257394058581' - '82.37856626747127052665988585595' - '83.25788550672087698067777866649' - '84.57115979893184807149130065642' - '84.84523174222874255457889689334' - '85.853397840293166223584954263183' - '86.53310585130727451247641071377' - '87.23127242400853746285056976729' - '88.01261921079019814942780753211' - '89.47181578517340994652590930712' - '90.01114283372118200485989107482' - '90.57076392050548935241268918357' - '91.41251194986830586186836757563' - '92.48622228908130821601006712561' - '92.9810538483249789254158286469' - '93.97752874873844869324142757923' - '94.49907780973265070417676165623' - '96.03357687752398569374148317135' - '96.42730848542108953972013784671' - '97.19333999517427546213316990226' - '97.99098202057606567453997053879' - '98.47589854525787949547752973115' - '99.59475940366601319165400386613' - '100.641607824808792917820101599' - '101.37537927177862865404490472879' - '101.976353625453887651439485709237' - '102.98374880974806552128924548378' - '103.53807344793075771419604841220' - '104.27069106902420881666243406152' - '105.2469435315269647399191658217' - '106.17031562276481326724396535476' - '106.777755356276899335812293261723' - '107.76217359688091275643554687927' - '108.79673454339447330584987697533' - '109.09474113453095501313997776324' - '109.84151817070603050306712311547' - '110.5556412630272811026625431437' - '111.79845343039885219195554647849' - '112.69909359406616450382530066644' - '113.29560588756953804148450378269' - '114.17507617960093414086466832781' - '114.34285807984210577598985665397' - '115.92443041055038525590865576454' - '116.26123691545999978900644717995' - '116.906326143789485045479674526469' - '118.20914778606736550369454814266' - '118.88238624566656967015197952264' - '119.60806355743243896156992106050' - '120.35806244431920064136477487651' - '121.07890781298092482302477400548' - '121.74329284713446976094762475594' - '122.505524061441973492995097053608' - '123.765940554415392069893659893231' - '124.37958407153270958752861268904' - '125.21098452656824599502226974440' - '125.80597246775796700537557425543' - '126.38221746461540068574645604768' - '127.33723609226263995245673795595' - '128.19439682221906267948483620566' - '129.15200195673893707106118941593' - '129.68139616532816715162220733347' - '130.48993295434460796263622567101' - '131.68124371855889148989225234941' - '132.00016652081627593393602865403' - '132.77009500385401615346266290292' - '133.28236358810866760432873535707' - '134.44436819847790105015125633599' - '135.59282593567062014716383061790' - '136.00809602387745526758349275508' - '136.72777706079853705554867620190' - '137.44480002117850618430924445809' - '138.36546762543829979281440412284' - '138.75250492494248196103330805271' - '139.979167000277160577733677046361' - '140.659488672027217852715908533300' - '141.47934621851420377046756562177' - '142.22402774447186624598325024237' - '143.02654185027184212536504581776' - '143.55350000634168322133919690096' - '144.51447898602349367978792875060' - '145.16100085071848977379056052156' - '145.74790147132758692372357852300' - '147.064789981847032027977487399421' - '148.006620552745206052043054194310' - '148.2097041921317130970744308566' - '148.842654563824716010452954466774' - '149.71196603843462831632755490460' - '150.59749467524197289270831810755' - '151.3887476410495516391892493938' - '152.45382980925139239271529995295' - '152.74201224262857590948098015351' - '153.81972523742626522230282440052' - '154.39676995504846201217240157318' - '155.41317435716799057728051078232' - '155.798828786959620156840846918290' - '156.37643676759199019833313900835' - '157.682291607308860792950340506928' - '158.47844701289422955335581732211' - '158.961270904821436584101142348696' - '159.96211246399471756791183596450' - '160.60916098379535376506483946977' - '161.03222936700242976566593443622' - '161.81323273719248862990341028310' - '162.94085155307531796293934907823' - '163.7612980560662770114117815666' - '164.50017608970483520353294894353' - '164.996935237171081230572420553852' - '165.791091068002883515300326239546' - '166.64843290193346448068439755085' - '167.51139719788331257791218687195' - '167.822792788661512021428921068148' - '168.77241304813802399269970080302' - '169.77831898896487456555340484951' - '170.69063087693954070162616874385' - '171.23353897396432050980578941716' - '171.81352839260495667322039901398' - '172.43636308007626705511838188188' - '173.18833573503028176869921119629' - '174.51240734807341302514075851454' - '174.68805808643785987932906633015' - '175.95403071966717601296803029478' - '176.42034871487598142887813246766' - '177.09930884982104981087704203519' - '177.9834901478230109577269427798' - '178.45359150791810782230131289389' - '179.44938899179292720128292572692' - '180.14560549086361263883940178925' - '180.8624375571127366671297023293' - '181.92378128767663711808674111086' - '182.49513241958671171352291085626' - '183.18001162251721891943976467280' - '183.90261249143491051792162769066' - '184.47331606132572786781420615447' - '185.07768245878734181948311117659' - '186.48317108311185149584329011236' - '187.236482007548865233707899010933' - '187.66641003016791196462408886054' - '188.028573622100593421482941699614' - '189.404058476803701919956747699881' - '189.75288402386534889767300229581' - '190.57576797813212363594252147186' - '191.18787883765748717533757397042' - '192.34736348343536730125304516089' - '192.78669250952032589627124524994' - '193.87246346336148870220670164160' - '194.44957433124518245257461745803' - '194.906978203889994482411475742602' - '195.74141016191845612262442631576' - '196.40021126663324395523425005612' - '197.31730572189247638832169206525' - '198.297320791101254667550920536361' - '198.87466198569937025860285488099' - '199.713313772391469308735219958540' prelabel: 1-152-152.75-r0-0 primitive: true rational: true root_analytic_conductor: 0.7058850323971985 root_angle: 0.0 root_number: '1' self_dual: true sign_arg: __RealLiteral__: 0 data: '0.0' prec: 10 spectral_label: r0-0 st_group: mu(2) symmetry_type: orthogonal types: - DIR values: - - 1 - '0.698181923868369551761824921346' z1: __RealLiteral__: 0 data: '0.982619117315' prec: 47 z2: __RealLiteral__: 0 data: '3.41727409524' prec: 44 z3: __RealLiteral__: 0 data: '4.36625746846' prec: 44 - - algebraic: true analytic_conductor: 0.7058850323971985 bad_primes: - 2 - 19 central_character: '152.75' conductor: 152 conductor_radical: 38 degree: 1 dirichlet_coefficients: - 1 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - -1 - 0 - 0 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - -1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - -1 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - -1 - 0 - -1 - 0 - -1 - 0 - 0 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - -1 - 0 - 1 - 0 - 1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - -1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - -1 - 0 - -1 - 0 - 0 - 0 - 1 - 0 - -1 - 0 euler11: - 1 - 1 euler13: - 1 - 1 euler17: - 1 - 1 euler19: - 1 - 0 euler2: - 1 - 0 euler23: - 1 - -1 euler29: - 1 - 1 euler3: - 1 - -1 euler31: - 1 - 1 euler37: - 1 - 1 euler41: - 1 - -1 euler43: - 1 - 1 euler47: - 1 - -1 euler5: - 1 - -1 euler53: - 1 - 1 euler59: - 1 - -1 euler61: - 1 - -1 euler67: - 1 - -1 euler7: - 1 - -1 euler71: - 1 - 1 euler73: - 1 - 1 euler79: - 1 - 1 euler83: - 1 - 1 euler89: - 1 - -1 euler97: - 1 - -1 euler_factors: - - 1 - 0 - - 1 - -1 - - 1 - -1 - - 1 - -1 - - 1 - 1 - - 1 - 1 - - 1 - 1 - - 1 - 0 - - 1 - -1 - - 1 - 1 - - 1 - 1 - - 1 - 1 - - 1 - -1 - - 1 - 1 - - 1 - -1 - - 1 - 1 - - 1 - -1 - - 1 - -1 - - 1 - -1 - - 1 - 1 - - 1 - 1 - - 1 - 1 - - 1 - 1 - - 1 - -1 - - 1 - -1 id: 4316 index: 0 instance_types: - DIR instance_urls: - Character/Dirichlet/152/75 is_instance_Artin: false is_instance_BMF: false is_instance_CMF: false is_instance_DIR: true 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: 1-152-152.75-r0-0-0 motivic_weight: 0 mu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 mu_real: - 0 nu_imag: [] nu_real_doubled: [] order_of_vanishing: 0 prelabel: 1-152-152.75-r0-0 primitive: true rational: true root_analytic_conductor: 0.7058850323971985 root_angle: 0.0 self_dual: true spectral_label: r0-0 z1: __RealLiteral__: 0 data: '0.982619117315' prec: 47 - - Lhash: dirichlet_L_152.75 Lhash_array: - dirichlet_L_152.75 id: 1785720 label: 1-152-152.75-r0-0-0 type: DIR url: Character/Dirichlet/152/75 label_cols: - label - label - label labels: - 1-152-152.75-r0-0-0 - 1-152-152.75-r0-0-0 - 1-152-152.75-r0-0-0 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-05-14T18:02:10.217857'