data: - - Lhash: '2038923412095382597924741813123' a10: - 0.0 - 0.0 a2: - 0.0 - 0.0 a3: - 0.0 - 0.0 a4: - 0.0 - 0.0 a5: - 0.9510565162951535 - -0.30901699437494745 a6: - 0.0 - 0.0 a7: - 0.0 - 0.0 a8: - 0.0 - 0.0 a9: - 0.5877852522924731 - -0.8090169943749475 accuracy: 100 algebraic: true analytic_conductor: 1.5970080404256077 analytic_normalization: __RealLiteral__: 0 data: '0.0' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - 0 - 0 - - 5 - - - 1.0 - 0 - - -0.9510565162951535 - 0.30901699437494745 bad_primes: - 2 - 5 central_character: '3200.1473' coefficient_field: CDF conductor: 3200 conductor_radical: 10 conjugate: '1269891650010324804884835539360' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -0.5877852522924731 - 0.8090169943749475 - - - 1.0 - 0 - - -0.9510565162951535 - 0.30901699437494745 - - - 1.0 - 0 - - 0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - 0 - - -0.30901699437494745 - 0.9510565162951535 - - - 1.0 - 0 - - -0.8968022466674206 - 0.14203952192020614 - - 0.9510565162951535 - -0.30901699437494745 - - - 1.0 - 0 - - 1.760073510670101 - 0.8968022466674206 - - 0.5877852522924731 - 0.8090169943749475 - - - 1.0 - 0 - - 0 - 0 - - -0.8090169943749475 - 0.5877852522924731 - - - 1.0 - 0 - - 0 - 0 - - 0.9510565162951535 - 0.30901699437494745 - - - 1.0 - 0 - - -0.5 - 1.5388417685876268 - - -0.8090169943749475 - -0.5877852522924731 - - - 1.0 - 0 - - 0 - 0 - - -0.8090169943749475 - 0.5877852522924731 - - - 1.0 - 0 - - -0.30901699437494745 - -1.9510565162951536 - - -0.9510565162951535 - 0.30901699437494745 - - - 1.0 - 0 - - 1.5388417685876268 - 1.118033988749895 - - 0.30901699437494745 - 0.9510565162951535 - - - 1.0 - 0 - - 0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - 0 - - -0.5877852522924731 - 0.8090169943749475 - - - 1.0 - 0 - - -0.8090169943749475 - -1.5877852522924731 - - -0.5877852522924731 - 0.8090169943749475 - - - 1.0 - 0 - - 0 - 0 - - 0.30901699437494745 - 0.9510565162951535 - - - 1.0 - 0 - - 0.36327126400268045 - 0.5 - - -0.30901699437494745 - 0.9510565162951535 - - - 1.0 - 0 - - 0 - 0 - - -0.5877852522924731 - -0.8090169943749475 - - - 1.0 - 0 - - 0 - 0 - - -0.8090169943749475 - -0.5877852522924731 - - - 1.0 - 0 - - 0.8968022466674206 - 0.14203952192020614 - - 0.9510565162951535 - 0.30901699437494745 - - - 1.0 - 0 - - 0 - 0 - - 0.8090169943749475 - 0.5877852522924731 - - - 1.0 - 0 - - 0 - 0 - - 0.5877852522924731 - 0.8090169943749475 - - - 1.0 - 0 - - -0.6909830056250525 - -0.9510565162951535 - - -0.30901699437494745 - 0.9510565162951535 - - - 1.0 - 0 - - 0.14203952192020614 - 0.2787682579175257 - - -0.5877852522924731 - 0.8090169943749475 - - - 1.0 - 0 - - 0 - -1.1755705045849463 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 0.5877852522924731 - -0.8090169943749475 - - - 1.0 - 0 - - 0 - 0 - - 0 - 1.0 - - - 1.0 - 0 - - -1.5388417685876268 - -1.118033988749895 - - 0.30901699437494745 - 0.9510565162951535 - - - 1.0 - 0 - - 0.04894348370484643 - 0.30901699437494745 - - -0.9510565162951535 - 0.30901699437494745 gamma_factors: - [] - - 0 group: GL2 id: 19543216 index: 0 label: 2-3200-200.173-c0-0-0 leading_term: '1.54243343144485223533320925659' load_key: CMFs-workshop motivic_weight: 0 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 0 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/3200/1/bz/a/1473/1 plot_delta: __RealLiteral__: 0 data: '0.05078125' prec: 34 plot_values: - 1.5424334314448522 - 1.5857653607304745 - 1.6391106608712616 - 1.702123329022024 - 1.7736487807862984 - 1.8518667922868326 - 1.9344658426269865 - 2.018814281242836 - 2.1021078340289847 - 2.181486955430237 - 2.254126740722822 - 2.317306102670419 - 2.368463320351262 - 2.4052437146991728 - 2.4255433486530342 - 2.427550924278562 - 2.4097886792982535 - 2.3711520897937883 - 2.3109475062602596 - 2.2289264152465664 - 2.125314768065377 - 2.0008357073931915 - 1.856724022211605 - 1.6947307520374495 - 1.517116529960091 - 1.3266324915793106 - 1.126487876087739 - 0.9203037992675581 - 0.7120530781867445 - 0.5059864247627424 - 0.3065457894645625 - 0.11826611499524878 - -0.05433276094258251 - -0.2068618498314611 - -0.3351837651025666 - -0.43553545776719976 - -0.5046495855675723 - -0.5398709224490036 - -0.5392640660094955 - -0.5017086592355062 - -0.4269784199168342 - -0.3158004742000631 - -0.16989182369590428 - 0.008029761818045829 - 0.21426254647988388 - 0.44416674252196325 - 0.6922401495795265 - 0.9522232457067185 - 1.2172325115354805 - 1.479919792686741 - 1.7326545288845767 - 1.9677247345968902 - 2.1775517403016678 - 2.354912930884573 - 2.493166082536402 - 2.5864684339255795 - 2.629983359861659 - 2.6200674696966573 - 2.5544311456947066 - 2.4322659785811145 - 2.254333250248499 - 2.023008549988283 - 1.7422787741103853 - 1.417689123453716 - 1.05623924395468 - 0.6662293084996262 - 0.2570585626279192 - -0.1610194049216737 - -0.577178714863179 - -0.9803330416131543 - -1.3594683131234953 - -1.703986162614747 - -2.0040471542127656 - -2.250902272729576 - -2.437201018025246 - -2.5572647039898593 - -2.6073142448459983 - -2.585642815633326 - -2.4927252817200896 - -2.331258169870391 - -2.10612615052726 - -1.824293452141052 - -1.4946212546658613 - -1.1276148206412393 - -0.7351068201394492 - -0.3298858869603442 - 0.07471819660349219 - 0.465279251695938 - 0.82873433600223 - 1.1528420810051048 - 1.4266230013631438 - 1.6407651041079974 - 1.787978826050116 - 1.8632866714255214 - 1.8642348847504016 - 1.7910170263757634 - 1.64650234527167 - 1.436165266421404 - 1.167916009400303 - 0.8518361938873527 - 0.49982711854994855 - 0.1251820669679769 - -0.2579026573451755 - -0.6348603844743443 - -0.9913105622382556 - -1.3136176596366749 - -1.5894303398740743 - -1.8081788923063082 - -1.9615099577860673 - -2.0436395246774604 - -2.0516079666320026 - -1.9854244534195058 - -1.8480922719421338 - -1.6455112927656217 - -1.386258827475913 - -1.0812552425934678 - -0.7433257124653718 - -0.38667418823915534 - -0.0262898197267472 - 0.3226905064174544 - 0.6456373291479246 - 0.929073821386668 - 1.1612830663265945 - 1.3328503026956284 - 1.4371151240112159 - 1.4705118555350334 - 1.4327806225313797 - 1.327036810511058 - 1.1596925027136809 - 0.9402298239912719 - 0.6808326561494527 - 0.3958896321080234 - 0.1013873734511039 - -0.18578167634032552 - -0.44856801644585825 - -0.6705383545308906 - -0.8366393372228955 - -0.933917248771001 - -0.952160268785551 - -0.8844325127172834 - -0.7274731838794122 - -0.48193959995285907 - -0.15247941045788999 - 0.2523752737160119 - 0.7204911785472929 - 1.2365858108157766 - 1.7828313323480385 - 2.339586278746331 - 2.886224588778739 - 3.402026212399619 - 3.8670898954068775 - 4.2632268117313945 - 4.574793668897901 - 4.78942580168503 - 4.898634556302619 - 4.898238823704309 - 4.788607688811071 - 4.574699524625832 - 4.265892109894911 - 3.875608066431786 - 3.420749643442595 - 2.9209661539123024 - 2.397785734238601 - 1.8736501266401318 - 1.3708965019762638 - 0.9107336497206023 - 0.5122609536995621 - 0.19157734206907975 - -0.03897614529931841 - -0.1714022680262095 - -0.20243177115140948 - -0.13368496692525236 - 0.02839964170085832 - 0.2728688212127302 - 0.5847778864778675 - 0.9459105462749666 - 1.335662035919006 - 1.7320437126450743 - 2.1127606867537185 - 2.4563097732569803 - 2.7430433382864075 - 2.956145620119521 - 3.082471829233152 - 3.113206639175184 - 3.0443072986076496 - 2.87670712803667 - 2.6162671083918685 - 2.2734760345550376 - 1.8629126513810308 - 1.4024956454995325 - 0.9125586768775616 - 0.41479718886689 - -0.06885899801866209 - -0.5173887488276512 - -0.9117782214292157 - -1.2360164948067782 - -1.4779343994372984 - -1.629840361331209 - -1.68891727837395 - -1.6573567372911886 - -1.5422206363997626 - -1.3550347963791558 - -1.111133655951886 - -0.8287888828691822 - -0.5281669296836672 - -0.23017054182254285 - 0.044773598905464215 - 0.2779149812286446 - 0.4533005970896709 - 0.5587541761116269 - 0.586656706242073 - 0.5344815443384325 - 0.40505007290991357 - 0.20648860755865642 - -0.04811666130565801 - -0.3413533532197614 - -0.652375735303909 - -0.9580124197660469 - -1.2340319634620622 - -1.456499639952018 - -1.6031523698339079 - -1.6547164112138457 - -1.596094135379407 - -1.417352026288115 - -1.114451702522699 - -0.6896788047314366 - -0.15174036090791612 - 0.48448108772219295 - 1.1985096917556386 - 1.9651693574997708 - 2.7557447291873616 - 3.5393517673384167 - 4.284447199262899 - 4.9603974382208875 - 5.539023157647472 - 5.996035882898277 - 6.312287789326653 - 6.474765175156787 - 6.4772693585839445 - 6.320745344709854 - 6.01323763374943 - 5.569472959200426 - 5.010090418951722 - 4.360559226195994 - 3.6498420263729345 - 2.9088763660593444 - 2.1689575848830005 - 1.4601124708074424 - 0.8095540665367 - 0.24030391760255376 - -0.2299410165925813 - -0.5896331462172015 - -0.8338444436685067 - -0.9643559351452574 - -0.9893622347956651 - -0.9228091452681961 - -0.7834037595199901 positive_zeros: - '1.60842696854187760692360529990800' - '2.18147198244407397291609807310844' - '3.38283107348994227472426037544187' - '4.35772636762039641551769448510203' - '5.14552965277944324194331920234012' - '5.99592970667031329937516755013483' - '6.72075262256837512559005734315150' - '7.23112017668530620485462132280597' - '8.520961612356084321238471350586775' - '8.727146995308200472057641120842176' prelabel: 2-3200-200.173-c0-0 primitive: true rational: false root_analytic_conductor: 1.2637278347910232 root_angle: 0.26 root_number: 0.68454710592868867373228335762154 + 0.72896862742141152314673031905556*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.13' prec: 14 spectral_label: c0-0 types: - CMF z1: __RealLiteral__: 0 data: '1.60842696854187760692360529991' prec: 103 z2: __RealLiteral__: 0 data: '2.18147198244407397291609807311' prec: 103 z3: __RealLiteral__: 0 data: '3.38283107348994227472426037544' prec: 103 - - algebraic: true analytic_conductor: 1.5970080404256077 bad_primes: - 2 - 5 central_character: '200.173' conductor: 3200 conductor_radical: 10 degree: 2 id: 19543216 index: 0 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/3200/1/bz/a/1473/1 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: 2-3200-200.173-c0-0-0 motivic_weight: 0 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 0 order_of_vanishing: 0 prelabel: 2-3200-200.173-c0-0 primitive: true rational: false root_analytic_conductor: 1.2637278347910232 root_angle: 0.13 self_dual: false spectral_label: c0-0 z1: __RealLiteral__: 0 data: '1.60842696854187760692360529991' prec: 103 - - Lhash: '2038923412095382597924741813123' Lhash_array: - '2038923412095382597924741813123' id: 19910551 label: 2-3200-200.173-c0-0-0 type: CMF url: ModularForm/GL2/Q/holomorphic/3200/1/bz/a/1473/1 label_cols: - label - label - label labels: - 2-3200-200.173-c0-0-0 - 2-3200-200.173-c0-0-0 - 2-3200-200.173-c0-0-0 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-23T13:29:23.724191'