data:
- - Lhash: '3300375981068483329941692078228'
    a10:
    - 1321.1092350094748
    - 1.4912693262153662e-58
    a2:
    - 4.898979485566356
    - 2.8284271247461903
    a3:
    - -14.94083718496778
    - -22.489361578583864
    a4:
    - 16.0
    - 27.712812921102035
    a5:
    - 202.25272001573995
    - -116.77066234542148
    a6:
    - -9.585334559252745
    - -152.43399017734592
    a7:
    - 95.57516899365294
    - -165.54104863898849
    a8:
    - 0.0
    - 181.01933598375618
    a9:
    - -282.5427684245681
    - 672.019779478983
    accuracy: 100
    algebraic: true
    analytic_conductor: 4.140973505157318
    analytic_normalization:
      __RealLiteral__: 0
      data: '3.0'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - -4.898979485566356
          - -2.8284271247461903
    - - 3
      - - - 1.0
          - 0
        - - 14.94083718496778
          - 22.489361578583864
    bad_primes:
    - 2
    - 3
    central_character: '18.11'
    coefficient_field: CDF
    conductor: 18
    conductor_radical: 6
    conjugate: '2091589865044225362010400339289'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - -4.898979485566356
        - -2.8284271247461903
    - - - 1.0
        - 0
      - - 14.94083718496778
        - 22.489361578583864
    - - - 1.0
        - 0
      - - -202.25272001573995
        - 116.77066234542148
      - - 7812.5
        - -13531.646934131853
    - - - 1.0
        - 0
      - - -95.57516899365294
        - 165.54104863898849
      - - -58824.5
        - -101887.02272983543
    - - - 1.0
        - 0
      - - 673.077027057455
        - 388.6012027569746
      - - 885780.5
        - 1534216.830353764
    - - - 1.0
        - 0
      - - -45.58020511079584
        - -78.947231071309
      - - -2413404.5
        - 4180139.2132153627
    - - - 1.0
        - 0
      - - 0
        - -7047.3923161362
      - - -24137569.0
        - 0
    - - - 1.0
        - 0
      - - -2731.0952415617385
        - 0
      - - 47045881.0
        - 0
    - - - 1.0
        - 0
      - - 17228.943774100168
        - -9947.135325829659
      - - 74017944.5
        - -128202840.54581334
    - - - 1.0
        - 0
      - - -27104.321919866627
        - -15648.687556637271
      - - 297411660.5
        - 515132106.74942577
    - - - 1.0
        - 0
      - - -6174.502043984985
        - -10694.551251619876
      - - -443751840.5
        - 768600733.6982006
    - - - 1.0
        - 0
      - - 27972.019555836
        - 0
      - - 2565726409.0
        - 0
    - - - 1.0
        - 0
      - - 37428.1576024385
        - -21609.156867039605
      - - 2375052120.5
        - -4113710943.3301992
    - - - 1.0
        - 0
      - - -19256.05777052387
        - 33352.47041202882
      - - -3160681524.5
        - -5474460986.978255
    - - - 1.0
        - 0
      - - 143770.93748983485
        - 83006.18946140101
      - - 5389607664.5
        - 9335074307.776636
    - - - 1.0
        - 0
      - - 0
        - 54741.4501552194
      - - -22164361129.0
        - 0
    - - - 1.0
        - 0
      - - 14102.075533665486
        - -8141.837105494204
      - - 21090266820.5
        - -36529413678.29012
    - - - 1.0
        - 0
      - - -29443.7231934758
        - 50998.024535094235
      - - -25760187180.5
        - -44617953009.110466
    - - - 1.0
        - 0
      - - 147998.2958365474
        - 256340.56782250953
      - - -45229191084.5
        - 78339256943.59529
    - - - 1.0
        - 0
      - - 0
        - -157251.0487799479
      - - -128100283921.0
        - 0
    - - - 1.0
        - 0
      - - -80296.98868927384
        - 0
      - - 151334226289.0
        - 0
    - - - 1.0
        - 0
      - - -188424.27547853254
        - 326360.4185081729
      - - -121543727760.5
        - -210519911822.5058
    - - - 1.0
        - 0
      - - -733992.1242693936
        - -423770.55052999966
      - - 163470186684.5
        - 283138668860.32336
    - - - 1.0
        - 0
      - - 0
        - -1128.90779456119
      - - -496981290961.0
        - 0
    - - - 1.0
        - 0
      - - -675152.2105899593
        - 1169397.9315842518
      - - -416486002464.5
        - -721374916909.7706
    - - - 1.0
        - 0
      - - 137556.88335871618
        - 79418.50363604074
      - - 530760075300.5
        - 919303417049.5492
    - - - 1.0
        - 0
      - - 248614.10394585575
        - 430612.25951243227
      - - -597026148264.5
        - 1034079622241.2635
    - - - 1.0
        - 0
      - - 0
        - -207158.5716406972
      - - -1500730351849.0
        - 0
    - - - 1.0
        - 0
      - - 2302873.660468412
        - 0
      - - 1677100110841.0
        - 0
    - - - 1.0
        - 0
      - - 677544.8871786831
        - -391180.7230006673
      - - 1040975876304.5
        - -1803023107212.929
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 9690741
    index: 5
    label: 2-18-9.2-c6-0-5
    load_key: CMFs-workshop
    motivic_weight: 6
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 6
    order_of_vanishing: 0
    origin: ModularForm/GL2/Q/holomorphic/18/7/d/a/11/5
    plot_delta:
      __RealLiteral__: 0
      data: '0.17578125'
      prec: 34
    plot_values:
    - 2.0717250326949577
    - 2.1486930632172663
    - 2.195415823649836
    - 2.2111133099596403
    - 2.1948823146261005
    - 2.1457727655841268
    - 2.0629100880378863
    - 1.9456590827373992
    - 1.7938221984056362
    - 1.6078622162216978
    - 1.3891363007126454
    - 1.1401252210426105
    - 0.8646385208110923
    - 0.5679738251258308
    - 0.25700672540057495
    - -0.05981275272674205
    - -0.3725797160758511
    - -0.6701889654706131
    - -0.9407372047347257
    - -1.1720763980412434
    - -1.3525098413074428
    - -1.4716081804756922
    - -1.521106643745434
    - -1.4958283233465828
    - -1.3945629970080275
    - -1.220818585995571
    - -0.983354956852741
    - -0.6964094351834669
    - -0.37953191266644987
    - -0.05696606660336921
    - 0.24345757107489124
    - 0.49191179567605353
    - 0.6585940823243053
    - 0.7160751456702469
    - 0.6418188013530313
    - 0.4206709548586592
    - 0.047081320768322055
    - -0.47319432316808324
    - -1.122155329665338
    - -1.8695886659533225
    - -2.674215091737107
    - -3.4859986016527214
    - -4.249554127127537
    - -4.908461639727607
    - -5.410168518306411
    - -5.711051586816527
    - -5.781131728456976
    - -5.607902479789073
    - -5.198761245356192
    - -4.58162397269188
    - -3.8034601169695033
    - -2.9266947309911933
    - -2.023669952135593
    - -1.1696126289400692
    - -0.4347864579651447
    - 0.12331802830740911
    - 0.46681524783837863
    - 0.5823625029444174
    - 0.4834367278103379
    - 0.20945058776411762
    - -0.17842566800149662
    - -0.6044450903793236
    - -0.987744530720538
    - -1.2529844333493432
    - -1.3408058482693972
    - -1.21664818852034
    - -0.8765776262336894
    - -0.3490903544718107
    - 0.30764656085800374
    - 1.0130266031236927
    - 1.6749431654613955
    - 2.2030509073103213
    - 2.52249696715674
    - 2.5860490407444527
    - 2.3826324871497984
    - 1.9406974642450763
    - 1.3255360839974704
    - 0.6305733737757163
    - -0.03636448051091939
    - -0.5699012007174482
    - -0.8845159751196068
    - -0.9296505749712507
    - -0.699834808715659
    - -0.23778846411553525
    - 0.37049627689269643
    - 1.0083828128647103
    - 1.5472604303593163
    - 1.8684115744235916
    - 1.8844606494284972
    - 1.5565998213705887
    - 0.9042637040496552
    - 0.005037425482378649
    - -1.0158177117026088
    - -2.0050027803837067
    - -2.8070166699132226
    - -3.291888231691979
    - -3.379870135569916
    - -3.0583963863370682
    - -2.3877364318567165
    - -1.4936567778656962
    - -0.5477232767835504
    - 0.2617689616966207
    - 0.7633167433616057
    - 0.8341480387476674
    - 0.4245285638863223
    - -0.4304642231964001
    - -1.614432909356007
    - -2.9483349299575554
    - -4.221314594471478
    - -5.22817881117776
    - -5.806497503157364
    - -5.866144809461935
    - -5.40537607269117
    - -4.510067289181453
    - -3.33606347031024
    - -2.0780327742560996
    - -0.9310824473207215
    - -0.05302592609354958
    - 0.46480612204846633
    - 0.6120151641624707
    - 0.4557478285404782
    - 0.12025218044640323
    - -0.24601952686154174
    - -0.5082488161689486
    - -0.5792205423013421
    - -0.441299589670895
    - -0.15088768922397255
    - 0.17617120395178015
    - 0.3952435437632674
    - 0.37260946699424335
    - 0.02468467453577667
    - -0.6531259482063076
    - -1.5758123077361317
    - -2.5802138104326406
    - -3.4571829921499386
    - -3.9979333783892903
    - -4.044170623179538
    - -3.5300342014744093
    - -2.5051280928421322
    - -1.1318540548290286
    - 0.3439231275521344
    - 1.6434643504329076
    - 2.516159611920053
    - 2.797022179979515
    - 2.4468882717601987
    - 1.5650357836557682
    - 0.3701073991824871
    - -0.8473179662016673
    - -1.7901935690040525
    - -2.2234688185566767
    - -2.029278569694905
    - -1.2353201895214416
    - -0.00904989778843107
    - 1.3814770995637338
    - 2.6310659413913657
    - 3.4698886821852732
    - 3.727264959397649
    - 3.370855040239429
    - 2.5113908679986277
    - 1.3717094627036333
    - 0.22797946723579662
    - -0.6617380983746786
    - -1.1230274298970129
    - -1.1075827794032065
    - -0.701396374736825
    - -0.09652082358536745
    - 0.4659559567625816
    - 0.7661941951875507
    - 0.6698101928508252
    - 0.16809613833880435
    - -0.6172747198218351
    - -1.4668736775664455
    - -2.12486731158362
    - -2.372246025031831
    - -2.091391383675767
    - -1.303464232993066
    - -0.16741296218280183
    - 1.0599189636645694
    - 2.0920199380815165
    - 2.6903776794594765
    - 2.7296008256732445
    - 2.231195124985478
    - 1.355917415573013
    - 0.3565073524769145
    - -0.4957585171044089
    - -0.9892687409807652
    - -1.0317790108438343
    - -0.6734111655180329
    - -0.08541039367368332
    - 0.4996014547458069
    - 0.868148153294142
    - 0.9024334139748521
    - 0.6283716610785587
    - 0.21835994477396958
    - -0.05472320816103692
    - 0.09913690483216994
    - 0.8900134723451001
    - 2.366436153307715
    - 4.375479049850894
    - 6.579676320348291
    - 8.529717937016349
    - 9.775231395394625
    - 9.983828507183963
    - 9.034809334615483
    - 7.059920691987681
    - 4.417918954862547
    - 1.6083749240829823
    - -0.85226528961208
    - -2.558158438129956
    - -3.3095575008277973
    - -3.1499325627088623
    - -2.335344872205694
    - -1.246562761886904
    - -0.2711349589217801
    - 0.30888682911645826
    - 0.39029553535046624
    - 0.06245593455430499
    - -0.4404036653222214
    - -0.8308930152393468
    - -0.8731509105069489
    - -0.46597357231556763
    - 0.322558523094456
    - 1.2795624765924933
    - 2.121798398375893
    - 2.594235819088614
    - 2.5588047592197967
    - 2.0426823753653456
    - 1.2291640664671222
    - 0.3938029204872742
    - -0.1924863495206521
    - -0.359765549242217
    - -0.10071054628608735
    - 0.4253169376465835
    - 0.9490717920886937
    - 1.1910652928581815
    - 0.9701846460926575
    - 0.2828042343928819
    - -0.6775195131013957
    - -1.5703345920053364
    - -2.0152605477569208
    - -1.7219830447795559
    - -0.5999260235837296
    - 1.1910227629563728
    - 3.269238439585853
    - 5.1341847959206435
    - 6.3128982333436445
    - 6.5039298260151135
    - 5.671789880105118
    - 4.0599356537034605
    - 2.11649145649174
    - 0.3556475044902941
    - -0.8006303716858914
    - -1.148861068300188
    - -0.7567974882487386
    - 0.07439729174149926
    - 0.9250921596478624
    - 1.4095329958313105
    positive_zeros:
    - '2.60353758399536868074866720700419'
    - '5.12952550875453119040663468064492'
    - '6.34625458706468386567629492009404'
    - '9.623049250838380313456543442972442'
    - '10.47026477636543706282173826006145'
    - '11.87379381084840535983161764828520'
    - '13.70063761268388598062152130671762'
    - '14.66190269839696483640443271229040'
    - '15.99699330801760358346650753135227'
    - '17.69116123045969451275203970485768'
    prelabel: 2-18-9.2-c6-0
    primitive: true
    rational: false
    root_analytic_conductor: 2.0349382067171766
    root_angle: 0.1822430184708421
    root_number: 0.840531210094048 + 0.5417631261518593*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.0911215092354'
      prec: 50
    spectral_label: c6-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '2.60353758399536868074866720700'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '5.12952550875453119040663468064'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '6.34625458706468386567629492009'
      prec: 103
- - algebraic: true
    analytic_conductor: 4.140973505157318
    bad_primes:
    - 2
    - 3
    central_character: '9.2'
    conductor: 18
    conductor_radical: 6
    degree: 2
    id: 9690741
    index: 5
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/18/7/d/a/11/5
    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: 2-18-9.2-c6-0-5
    motivic_weight: 6
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 6
    order_of_vanishing: 0
    prelabel: 2-18-9.2-c6-0
    primitive: true
    rational: false
    root_analytic_conductor: 2.0349382067171766
    root_angle: 0.09112150923542105
    self_dual: false
    spectral_label: c6-0
    z1:
      __RealLiteral__: 0
      data: '2.60353758399536868074866720700'
      prec: 103
- - Lhash: '3300375981068483329941692078228'
    Lhash_array:
    - '3300375981068483329941692078228'
    id: 10056765
    label: 2-18-9.2-c6-0-5
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/18/7/d/a/11/5
label_cols:
- label
- label
- label
labels:
- 2-18-9.2-c6-0-5
- 2-18-9.2-c6-0-5
- 2-18-9.2-c6-0-5
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T08:13:28.648755'