data: - - Lhash: '3525711844970144589617437757958' a10: - -3.0 - -1.0 a2: - 0.36602540378443865 - -1.3660254037844386 a3: - 0.0 - 0.0 a4: - -1.7320508075688772 - -1.0 a5: - 0.13397459621556135 - -2.232050807568877 a6: - 0.0 - 0.0 a7: - 0.0 - 0.0 a8: - -2.0 - 2.0 a9: - -2.598076211353316 - -1.5 accuracy: 100 algebraic: true analytic_conductor: 2.076110452553291 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - -0.36602540378443865 - 1.3660254037844386 - - 5 - - - 1.0 - 0 - - -0.13397459621556135 - 2.232050807568877 - - 13 - - - 1.0 - 0 - - -1.598076211353316 - 3.232050807568877 bad_primes: - 2 - 5 - 13 central_character: '260.23' coefficient_field: CDF conductor: 260 conductor_radical: 130 conjugate: '1099043374573528822066828779921' degree: 2 euler_factors: - - - 1.0 - 0 - - -0.36602540378443865 - 1.3660254037844386 - - - 1.0 - 0 - - 0 - 0 - - 2.598076211353316 - 1.5 - - - 1.0 - 0 - - -0.13397459621556135 - 2.232050807568877 - - - 1.0 - 0 - - 0 - 0 - - -6.06217782649107 - 3.5 - - - 1.0 - 0 - - 0 - 0 - - -5.5 - 9.526279441628825 - - - 1.0 - 0 - - -1.598076211353316 - 3.232050807568877 - - - 1.0 - 0 - - -0.03589838486224541 - -0.13397459621556135 - - -14.722431864335457 - 8.5 - - - 1.0 - 0 - - 0 - 0 - - 9.5 - 16.454482671904334 - - - 1.0 - 0 - - 0 - 0 - - 19.91858428704209 - 11.5 - - - 1.0 - 0 - - -9.232050807568877 - 5.330127018922194 - - 14.5 - -25.11473670974872 - - - 1.0 - 0 - - 0 - 0 - - 31.0 - 0 - - - 1.0 - 0 - - 2.866025403784439 - -10.696152422706632 - - -32.04293994002423 - -18.5 - - - 1.0 - 0 - - -10.330127018922193 - 5.964101615137754 - - 20.5 - -35.50704155516198 - - - 1.0 - 0 - - 0 - 0 - - -37.239092362730865 - 21.5 - - - 1.0 - 0 - - 0 - 0 - - 0 - -47.0 - - - 1.0 - 0 - - -5.294228634059948 - -5.294228634059948 - - 0 - 53.0 - - - 1.0 - 0 - - 0 - 0 - - 29.5 - 51.09549882328188 - - - 1.0 - 0 - - -1.3301270189221932 - 2.303847577293368 - - -30.5 - -52.827549630850754 - - - 1.0 - 0 - - 0 - 0 - - 58.023702053557386 - 33.5 - - - 1.0 - 0 - - 0 - 0 - - -35.5 - -61.48780366869514 - - - 1.0 - 0 - - 1.1698729810778068 - -1.1698729810778068 - - 0 - -73.0 - - - 1.0 - 0 - - 0 - 0 - - 79.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 0 - 83.0 - - - 1.0 - 0 - - 5.0 - 8.660254037844387 - - -44.5 - 77.07626093681505 - - - 1.0 - 0 - - 17.7583302491977 - -4.758330249197702 - - 84.00446416709055 - -48.5 - - - 1.0 - 0 - - -9.160254037844387 - -15.86602540378444 - - -50.5 - 87.4685657822283 - - - 1.0 - 0 - - 0 - 0 - - 0 - -103.0 - - - 1.0 - 0 - - 0 - 0 - - -92.66471820493493 - -53.5 - - - 1.0 - 0 - - 20.0 - 0 - - 109.0 - 0 - - - 1.0 - 0 - - 9.062177826491071 - -2.428203230275509 - - 97.86087062764156 - -56.5 gamma_factors: - [] - - 0 group: GL2 id: 9757678 index: 35 label: 2-260-260.23-c1-0-35 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/260/2/bg/a/23/1 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 1.139644593665515 - 1.3097343476923968 - 1.4984108937722023 - 1.7086442518162812 - 1.9407523681013816 - 2.1922202214697997 - 2.4577341570680558 - 2.729342038908271 - 2.996698841991112 - 3.2474050226621003 - 3.467469010494819 - 3.6419257485556775 - 3.7556284867839502 - 3.7942082884945703 - 3.7451696080349786 - 3.5990638208719226 - 3.350658159117546 - 2.9999975943481503 - 2.553244453160381 - 2.0231775748160334 - 1.429241892116154 - 0.7970619298578482 - 0.15736917530718839 - -0.4556576476111464 - -1.0065816561118295 - -1.461304909343107 - -1.7898900867246543 - -1.9693701057074016 - -1.9862726292463528 - -1.838574119469822 - -1.5368156850608843 - -1.1041635859978678 - -0.5752804946791529 - 0.006015108470759196 - 0.5901936283320595 - 1.126318734738152 - 1.5668400325673721 - 1.8724024986910124 - 2.0161444253998937 - 1.9869557256745844 - 1.7912334775872327 - 1.4528021694245843 - 1.0108542321536216 - 0.5159951547066434 - 0.024721860803245316 - -0.40710748707062333 - -0.7310722513477912 - -0.9124130355866313 - -0.9348350649959382 - -0.8031586292106923 - -0.5433087711582177 - -0.1994546453260847 - 0.1715138602646228 - 0.5075959521817385 - 0.7504546359813 - 0.8541880012270863 - 0.7928277116419797 - 0.5653706723814874 - 0.19740934114479977 - -0.2611496177112122 - -0.7422465329240464 - -1.1690883492031905 - -1.467653702261233 - -1.5786861996428148 - -1.4683606659221673 - -1.1358504712770747 - -0.616348343702731 - 0.021324848108758607 - 0.6826157901453317 - 1.2598718094656127 - 1.6481274825919945 - 1.7618222864366913 - 1.5498863384201753 - 1.006671996270057 - 0.17665957169152663 - -0.8483105779187541 - -1.939431227795784 - -2.947886262032803 - -3.72617444617629 - -4.150729370451882 - -4.142329668209227 - -3.6808993633969593 - -2.811971150018204 - -1.6432566660660142 - -0.331278191793915 - 0.9403639253729374 - 1.988050390770932 - 2.656442801077937 - 2.8435115708079137 - 2.5180866111831572 - 1.7267596029618923 - 0.5885930524902938 - -0.7219374487479436 - -2.001348676428464 - -3.0488164243660396 - -3.6979835390473372 - -3.843603101555277 - -3.458442955904094 - -2.597438712922381 - -1.3882263362131153 - -0.009548629452941873 - 1.3388085290162342 - 2.469336797382598 - 3.237522794071151 - 3.5645154123322182 - 3.4477236205097457 - 2.9575273963938087 - 2.2208640607805363 - 1.3949255185110085 - 0.6360887664281193 - 0.07012108529247293 - -0.23055044530949376 - -0.2581149057196118 - -0.06710196411486345 - 0.24079771282282306 - 0.5415209932534871 - 0.7177298181742763 - 0.6859859101360499 - 0.4161325969069028 - -0.061374302427460586 - -0.6618913644505519 - -1.2654983581121304 - -1.744356997053147 - -1.9925242316736067 - -1.951535929822971 - -1.625844176707111 - -1.084298144957728 - -0.4468858924814261 - 0.14073711365537767 - 0.5395464943626427 - 0.6491360681889446 - 0.4320521356380806 - -0.0754084623362458 - -0.7689589629783894 - -1.497988782805981 - -2.098793067706874 - -2.4321650645790562 - -2.416817622772759 - -2.050673168207606 - -1.4145028235054753 - -0.6562353721734967 - 0.04132088410982531 - 0.5025892332424226 - 0.6017656481640442 - 0.2957865861483283 - -0.36058322237152574 - -1.2221271455221052 - -2.082608198886308 - -2.7206738945590097 - -2.952490728772569 - -2.679233491180315 - -1.9180561094412822 - -0.8083276537798917 - 0.40986248545656173 - 1.4417424249436694 - 1.9994811671702102 - 1.8664327161621337 - 0.9497944025055834 - -0.6905940902757707 - -2.8447839349743727 - -5.1873703772878 - -7.337941781169164 - -8.935073172858901 - -9.708265513644028 - -9.532308428854302 - -8.452121401557998 - -6.6724728789654115 - -4.514691704469474 - -2.3498209360982862 - -0.5229210265082088 - 0.7148378241236905 - 1.251530506835333 - 1.1277932339550958 - 0.5160750883953734 - -0.3283133897292491 - -1.1320505229167357 - -1.668792510285886 - -1.8088987336287607 - -1.5425654766139643 - -0.9718218071580451 - -0.2746477116797013 - 0.34863791104602176 - 0.7323236898938431 - 0.7906441682135562 - 0.5398495321212637 - 0.09160722627368557 - -0.3800424389952927 - -0.6889522620198233 - -0.6905798203812875 - -0.3244730399737092 - 0.3661283088437471 - 1.2430858385140586 - 2.1083968548828977 - 2.756175407597999 - 3.0275959483955344 - 2.853872558209151 - 2.2754552427938726 - 1.4319966004641307 - 0.5255876844509879 - -0.23286958291281437 - -0.6795298215381234 - -0.7403037385876962 - -0.44846474353126964 - 0.06789239616936855 - 0.6251797985283545 - 1.0394281304741788 - 1.1814765492825365 - 1.0161805739929912 - 0.6137961345685742 - 0.12943679326128707 - -0.2443230506280405 - -0.33857709688534054 - -0.06524478984055015 - 0.5471102439301554 - 1.3508019949217158 - 2.1127945145760183 - 2.57724119694513 - 2.540506933431551 - 1.9177623596902948 - 0.7813067018531596 - -0.6424751122928907 - -2.019794192728131 - -2.989984937639971 - -3.260079027950098 - -2.688565984885422 - -1.335000535074298 - 0.5398958674948482 - 2.5264457265492575 - 4.159480862505112 - 5.030552382723897 - 4.890537478827396 - 3.7158478448190695 - 1.7201986707794745 - -0.6923083825073306 - -3.02179536292212 - -4.791311520767229 - -5.659504422552284 - -5.498543786627476 - -4.417649093436985 - -2.7269135442059675 - -0.851880588515714 - 0.7777655059786799 - 1.8355109552974507 - 2.1730806083376275 - 1.8443406613747548 - 1.0735029162992262 - 0.1785204724621205 - -0.5272958266425286 - -0.8269347015748651 - -0.6587765223386619 - -0.12724452148886076 - 0.5365303830517555 - 1.0510500885703626 - 1.1742947487319895 - 0.7800762106470917 - -0.10162325212618786 - -1.2917999998536676 positive_zeros: - '2.78129623757159189916483365991634' - '4.12372830199504256312742633006071' - '5.50659100733429146511757047446371' - '6.44201946370872960518714546571545' - '7.30584786406429692685882214828813' - '8.371000029517526354214094418073133' - '9.272910550970650109539882760693740' - '10.53145971876565878089942232028589' - '11.43204248981908133472460572684126' - '12.50085451392675585442148941755771' prelabel: 2-260-260.23-c1-0 primitive: true rational: false root_analytic_conductor: 1.4408714212424685 root_angle: 0.8455394344984847 root_number: -0.884557353558694 + 0.46643144004798764*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.422769717249' prec: 47 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '2.78129623757159189916483365992' prec: 103 z2: __RealLiteral__: 0 data: '4.12372830199504256312742633006' prec: 103 z3: __RealLiteral__: 0 data: '5.50659100733429146511757047446' prec: 103 - - algebraic: true analytic_conductor: 2.076110452553291 bad_primes: - 2 - 5 - 13 central_character: '260.23' conductor: 260 conductor_radical: 130 degree: 2 id: 9757678 index: 35 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/260/2/bg/a/23/1 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: 2-260-260.23-c1-0-35 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: 2-260-260.23-c1-0 primitive: true rational: false root_analytic_conductor: 1.4408714212424685 root_angle: 0.42276971724924234 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '2.78129623757159189916483365992' prec: 103 - - Lhash: '3525711844970144589617437757958' Lhash_array: - '3525711844970144589617437757958' id: 10123717 label: 2-260-260.23-c1-0-35 type: CMF url: ModularForm/GL2/Q/holomorphic/260/2/bg/a/23/1 label_cols: - label - label - label labels: - 2-260-260.23-c1-0-35 - 2-260-260.23-c1-0-35 - 2-260-260.23-c1-0-35 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-25T11:00:51.609374'