data:
- - Lhash: '427141556690703775371365303980'
    a10:
    - -1.8373869563348633
    - 3.1824475615363217
    a2:
    - 0.573576436351046
    - -0.8191520442889918
    a3:
    - 0.0
    - 0.0
    a4:
    - -0.3420201433256687
    - -0.9396926207859084
    a5:
    - -3.660790288487441
    - 0.32027764978844797
    a6:
    - 0.0
    - 0.0
    a7:
    - -1.191696491498402
    - -0.9999520864915679
    a8:
    - -0.9659258262890683
    - -0.25881904510252074
    a9:
    - 0.0
    - 0.0
    accuracy: 100
    algebraic: true
    analytic_conductor: 5.318036774617276
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - -0.573576436351046
          - 0.8191520442889918
    - - 3
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 37
      - - - 1.0
          - 0
        - - 5.101263456495052
          - -3.313172369109123
    bad_primes:
    - 2
    - 3
    - 37
    central_character: '666.17'
    coefficient_field: CDF
    conductor: 666
    conductor_radical: 222
    conjugate: '2062046585718229832287547886940'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - -0.573576436351046
        - 0.8191520442889918
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 3.660790288487441
        - -0.32027764978844797
      - - 4.924038765061041
        - -0.8682408883346517
    - - - 1.0
        - 0
      - - 1.191696491498402
        - 0.9999520864915679
      - - 1.2155372436685123
        - 6.893654271085456
    - - - 1.0
        - 0
      - - -1.5343575469083237
        - -2.6575852282219636
      - - -5.5
        - 9.526279441628825
    - - - 1.0
        - 0
      - - -4.6801564095597215
        - -2.1823927751409005
      - - 8.35623892592501
        - 9.958577760546714
    - - - 1.0
        - 0
      - - 3.8967980897964396
        - -1.8171067915558496
      - - 10.927389364671168
        - -13.022755533022627
    - - - 1.0
        - 0
      - - 3.651221406217004
        - -2.556612752305803
      - - 6.498382723187706
        - -17.854159794932258
    - - - 1.0
        - 0
      - - -1.441698525465571
        - -5.380492146234643
      - - -19.91858428704209
        - 11.5
    - - - 1.0
        - 0
      - - 1.4353942344876174
        - -5.356964211999223
      - - -25.11473670974872
        - -14.5
    - - - 1.0
        - 0
      - - -0.8085007893730785
        - 0.8085007893730785
      - - 0
        - -31.0
    - - - 1.0
        - 0
      - - 5.101263456495052
        - -3.313172369109123
    - - - 1.0
        - 0
      - - 4.402166881810245
        - -1.6022577112513925
      - - 31.4078221678781
        - -26.354291997148113
    - - - 1.0
        - 0
      - - -2.8109724634124547
        - -2.8109724634124547
      - - 0
        - 43.0
    - - - 1.0
        - 0
      - - 6.671372965334736
        - 3.8517189774004015
      - - 23.5
        - 40.703193977868615
    - - - 1.0
        - 0
      - - 1.785798903393012
        - 2.1282322587694225
      - - -9.203353416347309
        - 52.194810909647025
    - - - 1.0
        - 0
      - - -0.9290201102900001
        - 10.618748450931813
      - - -58.10365742772028
        - -10.24524248234889
    - - - 1.0
        - 0
      - - 2.7357925124687217
        - -5.866925976067407
      - - -39.2100441908789
        - -46.728711030257664
    - - - 1.0
        - 0
      - - -6.265227483386308
        - 7.466607361745614
      - - -11.634427903684333
        - -65.98211945181794
    - - - 1.0
        - 0
      - - 11.148645957540449
        - 1.9658070806807408
      - - 66.71817607579949
        - 24.28343017612248
    - - - 1.0
        - 0
      - - 0
        - -2.0963700861452845
      - - -73.0
        - 0
    - - - 1.0
        - 0
      - - -1.2142854210742118
        - -13.879345873358822
      - - -77.79981248796443
        - 13.718206035687498
    - - - 1.0
        - 0
      - - 2.269435009183541
        - -6.235221442651572
      - - -63.581688778875176
        - -53.35137160398276
    - - - 1.0
        - 0
      - - -14.684779995098433
        - -1.2847517759433866
      - - 87.64789001808651
        - 15.4546878123568
    - - - 1.0
        - 0
      - - 14.481425842681643
        - -3.880286359797737
      - - 84.00446416709055
        - -48.5
    - - - 1.0
        - 0
      - - -3.4693100728717754
        - 6.009021313424399
      - - -50.5
        - -87.4685657822283
    - - - 1.0
        - 0
      - - 0.7283104489720803
        - 0.19515019664121733
      - - 89.20061658979718
        - 51.5
    - - - 1.0
        - 0
      - - -5.616915390709481
        - -15.432348202961437
      - - -81.96675541373065
        - 68.77827423645971
    - - - 1.0
        - 0
      - - -3.4509404211397356
        - 4.928453683836507
      - - -37.28019562249789
        - -102.42649566566402
    - - - 1.0
        - 0
      - - -9.349493440657294
        - 13.352460421323189
      - - -38.64827619580057
        - -106.18526614880764
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 12474806
    index: 0
    label: 2-666-111.17-c1-0-0
    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/666/2/bs/a/17/4
    plot_delta:
      __RealLiteral__: 0
      data: '0.125'
      prec: 17
    plot_values:
    - 0.7004745623606041
    - 0.46898869492295336
    - 0.20596299171162533
    - -0.09686334188394835
    - -0.44691518705206
    - -0.8488155991011569
    - -1.3027841525942316
    - -1.8034984595052583
    - -2.339446356111674
    - -2.892795136222717
    - -3.4398250466933065
    - -3.9519792737633828
    - -4.397556774751711
    - -4.744018212268844
    - -4.960797236473517
    - -5.022421189199565
    - -4.9116605682653605
    - -4.62235983511401
    - -4.161567689235356
    - -3.5505951471170634
    - -2.824693008015736
    - -2.031158778832966
    - -1.2258512186307025
    - -0.46829395878412766
    - 0.18423463679440785
    - 0.6830294749001332
    - 0.9939596208102115
    - 1.1023290283569758
    - 1.0158217390751392
    - 0.7649122807452364
    - 0.40039280553481005
    - -0.011968646273004622
    - -0.3992108684496318
    - -0.6905677426915218
    - -0.8272899660739086
    - -0.7715265052847082
    - -0.5128771000466713
    - -0.07142782119357832
    - 0.5035048590481161
    - 1.1391089281615623
    - 1.7487915923206017
    - 2.2446908340417635
    - 2.551234503894298
    - 2.6176601108900828
    - 2.4273849134351297
    - 2.002447530508468
    - 1.4019124066504465
    - 0.7140576778487465
    - 0.04321936795607551
    - -0.5068343711166017
    - -0.8503621632264668
    - -0.9349431819710806
    - -0.7517557932054222
    - -0.33867387926616166
    - 0.22484232868947784
    - 0.8306479969700895
    - 1.3607103762700645
    - 1.708648351482772
    - 1.8001023750613128
    - 1.60795073328709
    - 1.1590847786358038
    - 0.5308561339280953
    - -0.16279838731435617
    - -0.7934945415852012
    - -1.2449232361296014
    - -1.4386855603078355
    - -1.354096245692519
    - -1.0374020227731389
    - -0.5976483789798201
    - -0.1889344049479357
    - 0.018431551861042235
    - -0.1271276562060171
    - -0.724091632646095
    - -1.7911476653928748
    - -3.2542592793589353
    - -4.951243249693202
    - -6.654295765912501
    - -8.107263892393174
    - -9.071213830633141
    - -9.36971594980017
    - -8.924778187516507
    - -7.775731553783531
    - -6.076436924762461
    - -4.070396666341824
    - -2.0478876263273995
    - -0.29312975553586956
    - 0.9681083722682365
    - 1.6097869268377998
    - 1.6270718265300257
    - 1.1332744023962422
    - 0.33263418719209875
    - -0.5254668207823833
    - -1.2011270783574004
    - -1.515546387525277
    - -1.3882849960640675
    - -0.8518525057817465
    - -0.0403327495786651
    - 0.845360918042648
    - 1.5875813031144386
    - 2.0056973152739546
    - 2.000788356017042
    - 1.5805450862598065
    - 0.8582124881635561
    - 0.025564246322157563
    - -0.6938123821260505
    - -1.099740828463409
    - -1.0657339624130902
    - -0.5718576027245802
    - 0.2882017995986129
    - 1.3279868479201242
    - 2.312237835493724
    - 3.01332516028981
    - 3.2662059153769385
    - 3.0081531734807476
    - 2.293204548543228
    - 1.2776177018682766
    - 0.1800255301574729
    - -0.7734516219016292
    - -1.4048964361055156
    - -1.6265579981226603
    - -1.4581260749115903
    - -1.0149164427345176
    - -0.47042795202992005
    - -0.0037887404465153617
    - 0.2530908311390043
    - 0.25356129708009967
    - 0.04831729829046119
    - -0.23243521813993792
    - -0.42213296148391455
    - -0.37419633407788544
    - -0.015074108019687053
    - 0.6222769346684007
    - 1.3958214188303688
    - 2.085676295601055
    - 2.4522999514625963
    - 2.3064966058955463
    - 1.5716802046878988
    - 0.3197865566135331
    - -1.2314536424589793
    - -2.7619737033017526
    - -3.9242791464160147
    - -4.431132803326335
    - -4.1327061857412
    - -3.061556891341792
    - -1.4316142137760786
    - 0.4105812763607841
    - 2.071039330662388
    - 3.2080513766487098
    - 3.6198557389715407
    - 3.2960665778671316
    - 2.418019272804915
    - 1.306982981170834
    - 0.3337137220429859
    - -0.18602944675846192
    - -0.08088798652948558
    - 0.6272414412462423
    - 1.7293776452439218
    - 2.889730063177097
    - 3.743655337526232
    - 4.00572539818194
    - 3.55687439075753
    - 2.485005321095773
    - 1.066370415346176
    - -0.30809071485344536
    - -1.241284369948927
    - -1.4427687540160277
    - -0.8135142391868254
    - 0.5220538834159467
    - 2.24647505269635
    - 3.9339444889150483
    - 5.1653715682272034
    - 5.641062706962222
    - 5.258992345559003
    - 4.1367339082983055
    - 2.5716758439555925
    - 0.9522286604291896
    - -0.3530758109769348
    - -1.095649999569833
    - -1.2070575719374543
    - -0.8029876010684306
    - -0.13208327314926402
    - 0.5124256551676036
    - 0.8893077457223365
    - 0.8833687998338912
    - 0.5341474503288617
    - 0.011600647669908213
    - -0.4514713520643599
    - -0.6464388234177819
    - -0.46532154824997696
    - 0.05944457926915124
    - 0.7655975963921415
    - 1.4184692128962648
    - 1.7955827246391196
    - 1.7691210067669725
    - 1.3571247973950382
    - 0.724408149831195
    - 0.13105602829529908
    - -0.15555731787010893
    - 0.043875257449376925
    - 0.750608739128235
    - 1.8085619061453402
    - 2.9247473037749607
    - 3.758448205389238
    - 4.031180153240318
    - 3.621325129705171
    - 2.611091270042063
    - 1.268274792297492
    - -0.03344108897545031
    - -0.9311827170086149
    - -1.188924049686088
    - -0.7742806190273661
    - 0.13048166536380817
    - 1.1883912166418809
    - 2.0200681536903087
    - 2.331585181714585
    - 2.0148459884878354
    - 1.1856206500829543
    - 0.14469003633514915
    - -0.7265293165137856
    - -1.1016326420415237
    - -0.8299765868936816
    - 0.00016109410956884448
    - 1.0804729978963055
    - 1.9807397407363476
    - 2.2959868390498257
    - 1.794370303677823
    - 0.5150865668774216
    - -1.2196939160526765
    - -2.8874524190958137
    - -3.9197842526273785
    - -3.881188266515865
    - -2.614915403788093
    - -0.30755556338798
    - 2.550822302122627
    - 5.3008466447193445
    - 7.301623003712373
    - 8.11373827234177
    - 7.620370001650974
    - 6.049300502651824
    - 3.8906912771101534
    - 1.7390283878233705
    - 0.11153020183812458
    - -0.6983976659236807
    - -0.68731224300262
    - -0.11020551444923826
    - 0.632819291728976
    - 1.1489189753572626
    - 1.1897195933723037
    - 0.7267600463342565
    - -0.057801229349218296
    - -0.8571672099960529
    - -1.367263340326494
    - -1.4063584472280386
    - -0.9822169425615794
    - -0.2827903688344222
    - 0.40425029431990533
    - 0.8108683722478126
    positive_zeros:
    - '0.33695527506854071193696059320732'
    - '2.96197543928440508210099601629675'
    - '3.87137283171039491305086873754001'
    - '4.64192255842873129245213693432794'
    - '6.00867885663490154688773003147104'
    - '6.70262286894103959514628691242680'
    - '7.72049989634397983902838252928003'
    - '8.724081585318781348737570135542931'
    - '8.810259852736112819754800201473046'
    - '10.64962786519028941311719859692887'
    prelabel: 2-666-111.17-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 2.3060868965885213
    root_angle: -0.41459378281626147
    root_number: 0.26510377295769916 - 0.9642198865215302*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.207296891408'
      prec: 50
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.33695527506854071193696059321'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '2.96197543928440508210099601630'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '3.87137283171039491305086873754'
      prec: 103
- - algebraic: true
    analytic_conductor: 5.318036774617276
    bad_primes:
    - 2
    - 3
    - 37
    central_character: '111.17'
    conductor: 666
    conductor_radical: 222
    degree: 2
    id: 12474806
    index: 0
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/666/2/bs/a/17/4
    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: 2-666-111.17-c1-0-0
    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: 2-666-111.17-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 2.3060868965885213
    root_angle: -0.20729689140813073
    self_dual: false
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '0.33695527506854071193696059321'
      prec: 103
- - Lhash: '427141556690703775371365303980'
    Lhash_array:
    - '427141556690703775371365303980'
    id: 12840832
    label: 2-666-111.17-c1-0-0
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/666/2/bs/a/17/4
label_cols:
- label
- label
- label
labels:
- 2-666-111.17-c1-0-0
- 2-666-111.17-c1-0-0
- 2-666-111.17-c1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-01T21:56:55.777485'