data: - - Lhash: '2872783884619140143227896084273' a10: - -1.0 - 0.0 a2: - 0.7071067811865476 - -0.7071067811865476 a3: - 1.0 - 0.0 a4: - 0.0 - -1.0 a5: - -0.7071067811865476 - -0.7071067811865476 a6: - 0.7071067811865476 - -0.7071067811865476 a7: - 0.0 - 0.0 a8: - -0.7071067811865476 - -0.7071067811865476 a9: - 1.0 - 0.0 accuracy: 100 algebraic: true analytic_conductor: 0.7785414197074838 analytic_normalization: __RealLiteral__: 0 data: '0.0' prec: 10 bad_lfactors: - - 2 - - - 1.0 - 0 - - -0.7071067811865476 - 0.7071067811865476 - - 3 - - - 1.0 - 0 - - -1.0 - 0 - - 5 - - - 1.0 - 0 - - 0.7071067811865476 - 0.7071067811865476 - - 13 - - - 1.0 - 0 - - -0.7071067811865476 - 0.7071067811865476 bad_primes: - 2 - 3 - 5 - 13 central_character: '1560.467' coefficient_field: CDF conductor: 1560 conductor_radical: 390 conjugate: '1594247315021257572347364709627' degree: 2 euler_factors: - - - 1.0 - 0 - - -0.7071067811865476 - 0.7071067811865476 - - - 1.0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0.7071067811865476 - 0.7071067811865476 - - - 1.0 - 0 - - 0 - 0 - - 0 - 1.0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - -0.7071067811865476 - 0.7071067811865476 - - - 1.0 - 0 - - 1.0 - -1.0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 1.4142135623730951 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - -1.4142135623730951 - -1.4142135623730951 - - 0 - 1.0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - -1.0 - 1.0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - -1.4142135623730951 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 0 - 1.0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - 0 - - -1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - 0 - 1.0 - - - 1.0 - 0 - - 1.0 - -1.0 - - 0 - -1.0 - - - 1.0 - 0 - - 0 - -1.4142135623730951 - - -1.0 - 0 - - - 1.0 - 0 - - -1.0 - -1.0 - - 0 - 1.0 gamma_factors: - [] - - 0 group: GL2 id: 19448999 index: 17 label: 2-1560-1560.467-c0-0-17 leading_term: '1.949461353651391561509038468679' 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/1560/1/cs/b/467/2 plot_delta: __RealLiteral__: 0 data: '0.05859375' prec: 34 plot_values: - 1.9494613536513916 - 2.0341219631577476 - 2.1435654341860846 - 2.2782392522383774 - 2.4371825066250956 - 2.6182933397778125 - 2.818639213597705 - 3.0347290700131664 - 3.262712986526598 - 3.4985109525791267 - 3.7378893632483394 - 3.9765066389281913 - 4.209945518221574 - 4.43374410407209 - 4.643432943369542 - 4.834581871304671 - 5.002857926463853 - 5.144094033302299 - 5.254367076174825 - 5.330083255305444 - 5.368068096141539 - 5.3656581096410365 - 5.320790837408299 - 5.232089848660367 - 5.098941184173713 - 4.921557770050079 - 4.701028457935908 - 4.43934859445349 - 4.139429385172806 - 3.8050837982710264 - 3.4409873467141945 - 3.05261278722382 - 2.646138566257795 - 2.228331709387958 - 1.8064067674597726 - 1.3878633728688128 - 0.9803058903732567 - 0.5912495342664319 - 0.22791813076519493 - -0.10296060611981019 - -0.3953558814966321 - -0.6441239578177371 - -0.8451807425687136 - -0.9956500543449942 - -1.0939811646057562 - -1.1400298460167744 - -1.1350980549277694 - -1.0819285221706179 - -0.9846518987947223 - -0.8486856661269789 - -0.6805857264469977 - -0.48785338561339814 - -0.2787022578899363 - -0.061791395439022706 - 0.1540674039213499 - 0.36021870245098536 - 0.5484783485319392 - 0.7114427823966877 - 0.8427808298734552 - 0.9374960846611788 - 0.9921484467252423 - 1.0050243403428916 - 0.976246574342707 - 0.9078167023519692 - 0.8035850440617868 - 0.6691461702827588 - 0.5116605459633872 - 0.3396060603457317 - 0.1624662323422507 - -0.009635166987752459 - -0.1663406175535146 - -0.2974916763565114 - -0.3935714732002415 - -0.44613897677232606 - -0.44823658209529477 - -0.39475278233796596 - -0.2827226976296193 - -0.1115510430920897 - 0.1168553059071292 - 0.39805472180587004 - 0.7251439160941394 - 1.0889381137703489 - 1.47825512084326 - 1.8802954161661039 - 2.2811058393134274 - 2.666110219567071 - 3.0206866082192514 - 3.330767834870812 - 3.583440082202534 - 3.7675132035370487 - 3.8740366920542453 - 3.896736599143007 - 3.832351286846919 - 3.680847622949316 - 3.4455039664054765 - 3.1328518698069683 - 2.7524746188512124 - 2.316667269431671 - 1.8399694334151817 - 1.3385883893450923 - 0.8297358362725852 - 0.3309064626084988 - -0.14086980893159856 - -0.5697677465309556 - -0.9418640283667922 - -1.2457578305672394 - -1.4730835084185607 - -1.6188883828632323 - -1.681854424554538 - -1.6643496722597138 - -1.5723032279083948 - -1.4149062705797741 - -1.2041503123983295 - -0.9542224387007388 - -0.6807850845127907 - -0.4001745676078791 - -0.12855773370114001 - 0.11891065701094959 - 0.3288860061313934 - 0.49054470582013776 - 0.5961683795008944 - 0.6415677603484284 - 0.6263199874921029 - 0.5538023173945151 - 0.4310157009689842 - 0.2682028526022596 - 0.07827676084477087 - -0.12391354542625531 - -0.3224433660603835 - -0.501254074800226 - -0.6451254895964725 - -0.7406246992696256 - -0.7769766264647269 - -0.746804069351026 - -0.6466904277107367 - -0.47752660299299715 - -0.24461432212598966 - 0.04248912589052953 - 0.37038566261610345 - 0.7224969173390999 - 1.0799421380821494 - 1.4225916832629604 - 1.7302425440225302 - 1.9838531713195624 - 2.16676887066534 - 2.265866652945454 - 2.272549979082881 - 2.18352938664597 - 2.0013343919496527 - 1.7345149510714002 - 1.3975065534418099 - 1.0101509388811853 - 0.5968835464237959 - 0.18561808737618746 - -0.1936230001370338 - -0.5102670906205211 - -0.7348604188128702 - -0.8407596720440395 - -0.8057532615017898 - -0.6135195368617411 - -0.25483455982387165 - 0.2715474791358622 - 0.958402929892562 - 1.7899789474457204 - 2.742385551851874 - 3.7844354354723477 - 4.87890259227286 - 5.984146726633017 - 7.056028437739172 - 8.050021690576958 - 8.923416241450589 - 9.637494422380575 - 10.159564651582068 - 10.46473853513246 - 10.537349398887326 - 10.3719271043967 - 9.973666259757984 - 9.35835131012801 - 8.551731085426113 - 7.5883655992629215 - 6.50999752834837 - 5.363528138371808 - 4.1987008323825545 - 3.0656135407219094 - 2.0121926858070207 - 1.0817656338804662 - 0.31086499501910897 - -0.2726130953962278 - -0.6507929789590275 - -0.8166666519558 - -0.7743545334910608 - -0.5387630098628542 - -0.13465608478075633 - 0.4048080102038004 - 1.0399934755402493 - 1.7270486672196061 - 2.4203843483585206 - 3.0752269991386814 - 3.6501010352731615 - 4.109097728872749 - 4.423801042627592 - 4.574760807914758 - 4.5524305417326225 - 4.357519124871897 - 4.00074064170175 - 3.5019827808354824 - 2.8889490998662573 - 2.195362002415562 - 1.4588394874052104 - 0.7185779513641035 - 0.012984324019143881 - -0.6225971246642376 - -1.1579250084887975 - -1.5695454991029856 - -1.8420222796970667 - -1.968642228726504 - -1.9515612208305086 - -1.8013904988522156 - -1.5362599303837956 - -1.1804277782492953 - -0.7625352056284752 - -0.31362572311724657 - 0.1349362839996634 - 0.5535088555711366 - 0.916042837356488 - 1.201657944799923 - 1.3958245532745157 - 1.4910793317896143 - 1.4872356235831257 - 1.3910847264446453 - 1.2156195090975204 - 0.9788446755401963 - 0.7022661709761375 - 0.4091737413792658 - 0.12284400132421866 - -0.13520441375093342 - -0.3467772400648762 - -0.4982804229187235 - -0.5816156257669969 - -0.5946344269021672 - -0.5411234027686291 - -0.4303274724425732 - -0.27605348100577215 - -0.09542748556159586 - 0.09259476357170358 - 0.26884604474672835 - 0.4155667348640598 - 0.517896772375042 - 0.5651222036004451 - 0.5515767599370779 - 0.4771254623903125 - 0.3471896677625618 - 0.17230886637614085 - -0.03272877595178035 - -0.2501204627723541 - -0.46055075068779766 - -0.6448419250592926 positive_zeros: - '2.26622689572498962660598281407006' - '3.12210891156062601440413911044604' - '4.03957937575070272124451128453151' - '4.54211115151797703555642602882462' - '5.95858762495327392133573555823550' - '6.82638918579746069196331755961186' - '7.40566923219575296581799754904493' - '8.019237895641250556750984560259040' - '8.992615175265403683255255833535892' - '9.405666401189320818258847350850362' prelabel: 2-1560-1560.467-c0-0 primitive: true rational: false root_analytic_conductor: 0.8823499417507114 root_angle: 0.5737918088252166 root_number: -0.22975292054736118352393736938184 + 0.97324898946773016378805774830813*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.2868959044126083' prec: 60 spectral_label: c0-0 types: - CMF z1: __RealLiteral__: 0 data: '2.26622689572498962660598281407' prec: 103 z2: __RealLiteral__: 0 data: '3.12210891156062601440413911045' prec: 103 z3: __RealLiteral__: 0 data: '4.03957937575070272124451128453' prec: 103 - - algebraic: true analytic_conductor: 0.7785414197074838 bad_primes: - 2 - 3 - 5 - 13 central_character: '1560.467' conductor: 1560 conductor_radical: 390 degree: 2 id: 19448999 index: 17 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/1560/1/cs/b/467/2 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: 2-1560-1560.467-c0-0-17 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: 2-1560-1560.467-c0-0 primitive: true rational: false root_analytic_conductor: 0.8823499417507114 root_angle: 0.2868959044126083 self_dual: false spectral_label: c0-0 z1: __RealLiteral__: 0 data: '2.26622689572498962660598281407' prec: 103 - - Lhash: '2872783884619140143227896084273' Lhash_array: - '2872783884619140143227896084273' id: 19815415 label: 2-1560-1560.467-c0-0-17 type: CMF url: ModularForm/GL2/Q/holomorphic/1560/1/cs/b/467/2 label_cols: - label - label - label labels: - 2-1560-1560.467-c0-0-17 - 2-1560-1560.467-c0-0-17 - 2-1560-1560.467-c0-0-17 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-03-29T02:38:30.544510'