data:
- - Lhash: '967551879847761800014650583033'
    a10:
    - 1.377614396780338
    - -2.8464326048202064
    a2:
    - -0.2829712265322747
    - -1.3856144070248477
    a3:
    - -0.32101540980995424
    - -0.32101540980995424
    a4:
    - -1.8398545699096402
    - 0.7841780165132232
    a5:
    - 1.7771163951593454
    - 1.3571504404655563
    a6:
    - -0.3539654524599746
    - 0.5356417009593417
    a7:
    - -1.9124346444854923
    - 1.9124346444854923
    a8:
    - 1.6071942616412325
    - 2.327429183744909
    a9:
    - 0.0
    - -2.7938982133290944
    accuracy: 100
    algebraic: true
    analytic_conductor: 3.034315276808656
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 0.2829712265322747
          - 1.3856144070248477
    - - 5
      - - - 1.0
          - 0
        - - -1.7771163951593454
          - -1.3571504404655563
    - - 19
      - - - 1.0
          - 0
        - - 1.0
          - 0
    bad_primes:
    - 2
    - 5
    - 19
    central_character: '380.267'
    coefficient_field: CDF
    conductor: 380
    conductor_radical: 190
    conjugate: '2280921188227563238446082965970'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 0.2829712265322747
        - 1.3856144070248477
    - - - 1.0
        - 0
      - - 0.32101540980995424
        - 0.32101540980995424
      - - 0
        - 3.0
    - - - 1.0
        - 0
      - - -1.7771163951593454
        - -1.3571504404655563
    - - - 1.0
        - 0
      - - 1.9124346444854923
        - -1.9124346444854923
      - - 0
        - -7.0
    - - - 1.0
        - 0
      - - 0
        - -5.650056075778709
      - - -11.0
        - 0
    - - - 1.0
        - 0
      - - 2.00460474477441
        - -2.00460474477441
      - - 0
        - -13.0
    - - - 1.0
        - 0
      - - -3.8919705323650367
        - -3.8919705323650367
      - - 0
        - 17.0
    - - - 1.0
        - 0
      - - 1.0
        - 0
    - - - 1.0
        - 0
      - - -3.048295382140873
        - -3.048295382140873
      - - 0
        - 23.0
    - - - 1.0
        - 0
      - - 0
        - 8.567825933813706
      - - -29.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 3.587211331270721
      - - -31.0
        - 0
    - - - 1.0
        - 0
      - - -3.8723039816312532
        - -3.8723039816312532
      - - 0
        - 37.0
    - - - 1.0
        - 0
      - - 0.055565769515201834
        - 0
      - - 41.0
        - 0
    - - - 1.0
        - 0
      - - 1.9785353067199167
        - 1.9785353067199167
      - - 0
        - 43.0
    - - - 1.0
        - 0
      - - -4.7435759603029695
        - 4.7435759603029695
      - - 0
        - -47.0
    - - - 1.0
        - 0
      - - 7.951988289374907
        - -7.951988289374907
      - - 0
        - -53.0
    - - - 1.0
        - 0
      - - 8.347398927599848
        - 0
      - - 59.0
        - 0
    - - - 1.0
        - 0
      - - -12.073686320238153
        - 0
      - - 61.0
        - 0
    - - - 1.0
        - 0
      - - 6.558225536918277
        - -6.558225536918277
      - - 0
        - -67.0
    - - - 1.0
        - 0
      - - 0
        - 7.241124645465572
      - - -71.0
        - 0
    - - - 1.0
        - 0
      - - 3.340750813849356
        - -3.340750813849356
      - - 0
        - -73.0
    - - - 1.0
        - 0
      - - -13.03187035797699
        - 0
      - - 79.0
        - 0
    - - - 1.0
        - 0
      - - -4.602170173037766
        - -4.602170173037766
      - - 0
        - 83.0
    - - - 1.0
        - 0
      - - 0
        - -4.225538746952599
      - - -89.0
        - 0
    - - - 1.0
        - 0
      - - 3.7480372618589186
        - 3.7480372618589186
      - - 0
        - 97.0
    - - - 1.0
        - 0
      - - 2.638221148238714
        - 0
      - - 101.0
        - 0
    - - - 1.0
        - 0
      - - 6.618567765885873
        - 6.618567765885873
      - - 0
        - 103.0
    - - - 1.0
        - 0
      - - -6.656548032507463
        - 6.656548032507463
      - - 0
        - -107.0
    - - - 1.0
        - 0
      - - 0
        - -0.6046480237593101
      - - -109.0
        - 0
    - - - 1.0
        - 0
      - - -3.5546085400996787
        - 3.5546085400996787
      - - 0
        - -113.0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 10118183
    index: 10
    label: 2-380-20.7-c1-0-10
    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/380/2/k/d/267/12
    plot_delta:
      __RealLiteral__: 0
      data: '0.125'
      prec: 17
    plot_values:
    - 0.9945878385297858
    - 0.9003167560644991
    - 0.7901742652646349
    - 0.6567076132807282
    - 0.49122009888498397
    - 0.28493428362945916
    - 0.0301387576247789
    - -0.2787538198216654
    - -0.6442526307895133
    - -1.0649468644295963
    - -1.5348080836482079
    - -2.0426985368517143
    - -2.5721680450959883
    - -3.1016278146538574
    - -3.604978524411191
    - -4.052742801704235
    - -4.41371039296135
    - -4.657050853490808
    - -4.754787812116625
    - -4.684466791731508
    - -4.431792556722298
    - -3.9929702295942326
    - -3.3764651764983755
    - -2.6039069976266167
    - -1.709907637081426
    - -0.7406439086209309
    - 0.24883256133528125
    - 1.1984579696731048
    - 2.047943216615628
    - 2.7420940152485067
    - 3.236155587004683
    - 3.5006002646304824
    - 3.5247648174261452
    - 3.3188057519405016
    - 2.913578477579782
    - 2.3582532250229713
    - 1.7157392793660238
    - 1.056271643310101
    - 0.4497851834361648
    - -0.042078550137097215
    - -0.37335491599335274
    - -0.5195400976786648
    - -0.4809075895874548
    - -0.2827465440803381
    - 0.027718007308338254
    - 0.38751960217194176
    - 0.7265971572380524
    - 0.9778245351460859
    - 1.0870648680682213
    - 1.0217792122960403
    - 0.7768189327785143
    - 0.37635023550534175
    - -0.12862978710275652
    - -0.6670846569738462
    - -1.1582538354511798
    - -1.5240902698932697
    - -1.701972606081984
    - -1.6556605023758315
    - -1.3825951585048397
    - -0.916106524362452
    - -0.32182711672125547
    - 0.31146923945107347
    - 0.8854274651545668
    - 1.308057670104047
    - 1.5094975415841914
    - 1.4548630779518443
    - 1.1517675948328947
    - 0.650848310296057
    - 0.0387558842549044
    - -0.5756336252974448
    - -1.0797516932868259
    - -1.3775740132336114
    - -1.4079834909715923
    - -1.157757501419241
    - -0.6664036488523852
    - -0.021367054823445742
    - 0.6561890702284896
    - 1.233050403278998
    - 1.589535826949658
    - 1.644455306170617
    - 1.3746578404319334
    - 0.8250298218793695
    - 0.10628181126014803
    - -0.6200401937204594
    - -1.167514838719759
    - -1.357765603950479
    - -1.0547184391947504
    - -0.19391214050065622
    - 1.1989388384690571
    - 3.004309450633408
    - 5.021814470268571
    - 6.998401713812464
    - 8.667516928798898
    - 9.792683582662532
    - 10.207780360349256
    - 9.846554452769512
    - 8.755607459666948
    - 7.087975524509955
    - 5.077987809993659
    - 3.001656298234106
    - 1.129718105304806
    - -0.3179811765452885
    - -1.2081724388909378
    - -1.5131295094816823
    - -1.3093328250039071
    - -0.7562389212101335
    - -0.05955161362425904
    - 0.5734517879399245
    - 0.9773372575386063
    - 1.0617150343800725
    - 0.8273937433068157
    - 0.36225752175497067
    - -0.1820313928080087
    - -0.6272599536371282
    - -0.8115313299798363
    - -0.6282223396553033
    - -0.0523208433927283
    - 0.8517791049817813
    - 1.9427999340153381
    - 3.0326052259975356
    - 3.9269123067684473
    - 4.467401211087299
    - 4.565570870913148
    - 4.220576136864159
    - 3.517000836511097
    - 2.6032369381799443
    - 1.6557449218644602
    - 0.837860212976911
    - 0.26314294391462195
    - -0.027822744072624816
    - -0.07157290344503438
    - 0.03401231869113489
    - 0.1612267356939289
    - 0.191534621132132
    - 0.051712496775439404
    - -0.26266278696863515
    - -0.6830898900498691
    - -1.08515073857359
    - -1.322826360011016
    - -1.2714780415410982
    - -0.8680929537095962
    - -0.1375127304205433
    - 0.8035275627900909
    - 1.76728114837177
    - 2.537045691951314
    - 2.920769804452996
    - 2.802876780205056
    - 2.1805258728895685
    - 1.1736558137155817
    - 0.004250624207191112
    - -1.052069941424281
    - -1.7316932803373668
    - -1.850344234551216
    - -1.3551325626032407
    - -0.3471781233355211
    - 0.932727960933662
    - 2.1540854364786783
    - 2.971908322576513
    - 3.1099776634847474
    - 2.4320249553989695
    - 0.9827992913218848
    - -1.012359010670072
    - -3.1910213754818693
    - -5.131268798939685
    - -6.4457107368794535
    - -6.869695261433532
    - -6.322345865859459
    - -4.9252866370074
    - -2.9740697014866884
    - -0.8689137852741486
    - 0.9785180455464223
    - 2.2395374973750726
    - 2.740939836465225
    - 2.498010958212327
    - 1.7004630295848533
    - 0.6557075859063818
    - -0.2952857298571079
    - -0.8674306725256326
    - -0.9030746245167915
    - -0.40747403702855384
    - 0.4602168183906963
    - 1.4369261190312979
    - 2.2322092833983542
    - 2.6100433661399376
    - 2.4534862657472165
    - 1.794860613928257
    - 0.8038758279752819
    - -0.2621458701415188
    - -1.1312943873129058
    - -1.5924196206570698
    - -1.5515385949298357
    - -1.0537251555826708
    - -0.26497992546883764
    - 0.5798527512892706
    - 1.247322669616336
    - 1.572889473011035
    - 1.505891434183156
    - 1.1190229486479055
    - 0.5800703261018497
    - 0.09500761554142931
    - -0.15981480404370949
    - -0.09535087059196284
    - 0.26056651937470243
    - 0.7711589762234464
    - 1.2339969720963424
    - 1.446461964960655
    - 1.273033094670482
    - 0.6930749964144163
    - -0.1865702801983028
    - -1.1592312319989384
    - -1.9788269537997079
    - -2.4350501307380816
    - -2.4200665924992704
    - -1.9653488315340248
    - -1.2358821014212864
    - -0.4819103907988605
    - 0.0382470100647002
    - 0.14112849578618603
    - -0.21915026537670657
    - -0.9291289878379851
    - -1.7439956149796234
    - -2.358944861025747
    - -2.5036255936458685
    - -2.03121109160053
    - -0.9739226297912272
    - 0.4540987964916124
    - 1.9102642647600385
    - 3.0197661069680044
    - 3.4870888379886456
    - 3.1892571835356702
    - 2.2212410305140207
    - 0.8771575315691669
    - -0.4302624406755171
    - -1.2905577476429255
    - -1.422137381231327
    - -0.7666457686139216
    - 0.4788551260271771
    - 1.9045023288400018
    - 2.995892210922405
    - 3.2790164863551614
    - 2.4610502115572706
    - 0.5260458216967685
    - -2.2434572091663534
    - -5.327139680259538
    - -8.094585981776657
    - -9.965154237969864
    - -10.555733764210004
    - -9.775425121946684
    - -7.841441868770601
    - -5.213224599808106
    - -2.4651293738649183
    - -0.13515128071841015
    - 1.407068039569181
    - 2.036803219437653
    - 1.876871006921989
    - 1.2304343194202776
    - 0.4686968061749867
    positive_zeros:
    - '0.76326385178499702357865198014786'
    - '3.21839442648448594619837931422754'
    - '4.86264048233144003801518957432454'
    - '5.48994135939119314443443886324318'
    - '6.46965279092532819978452341943701'
    - '7.56327504051467557317210380405978'
    - '8.507660800308697334397084610681509'
    - '9.378905856296349466075007017759386'
    - '10.26765174862412001645859713263217'
    - '10.89548946310661255409826683467872'
    prelabel: 2-380-20.7-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 1.7419286084132886
    root_angle: -0.09685404076409818
    root_number: 0.9540641319125782 - 0.2996024569290086*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.048427020382'
      prec: 50
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.76326385178499702357865198015'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '3.21839442648448594619837931423'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '4.86264048233144003801518957432'
      prec: 103
- - algebraic: true
    analytic_conductor: 3.034315276808656
    bad_primes:
    - 2
    - 5
    - 19
    central_character: '20.7'
    conductor: 380
    conductor_radical: 190
    degree: 2
    id: 10118183
    index: 10
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/380/2/k/d/267/12
    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: 2-380-20.7-c1-0-10
    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: 2-380-20.7-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 1.7419286084132886
    root_angle: -0.04842702038204909
    self_dual: false
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '0.76326385178499702357865198015'
      prec: 103
- - Lhash: '967551879847761800014650583033'
    Lhash_array:
    - '967551879847761800014650583033'
    id: 10484208
    label: 2-380-20.7-c1-0-10
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/380/2/k/d/267/12
label_cols:
- label
- label
- label
labels:
- 2-380-20.7-c1-0-10
- 2-380-20.7-c1-0-10
- 2-380-20.7-c1-0-10
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-28T07:29:19.249238'