data:
- - Lhash: '2390305014856235481849228306412'
    a10:
    - 21.583123951777
    - 0.0
    a2:
    - 4.3166247903554
    - 0.0
    a3:
    - 5.0
    - 0.0
    a4:
    - 10.6332495807108
    - 0.0
    a5:
    - 5.0
    - 0.0
    a6:
    - 21.583123951777
    - 0.0
    a7:
    - 0.0
    - 0.0
    a8:
    - 11.3667504192892
    - 0.0
    a9:
    - -2.0
    - 0.0
    accuracy: 100
    algebraic: true
    analytic_conductor: 14.455467951406456
    analytic_normalization:
      __RealLiteral__: 0
      data: '1.5'
      prec: 10
    bad_lfactors:
    - - 5
      - - - 1.0
          - 0
        - - -5.0
          - 0
    - - 7
      - - - 1.0
          - 0
        - - 0
          - 0
    bad_primes:
    - 5
    - 7
    central_character: '245.1'
    coefficient_field: CDF
    conductor: 245
    conductor_radical: 35
    conjugate: '2390305014856235481849228306412'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - -4.3166247903554
        - 0
      - - 8.0
        - 0
    - - - 1.0
        - 0
      - - -5.0
        - 0
      - - 27.0
        - 0
    - - - 1.0
        - 0
      - - -5.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - -19.7335008385784
        - 0
      - - 1331.0
        - 0
    - - - 1.0
        - 0
      - - -71.332495807108
        - 0
      - - 2197.0
        - 0
    - - - 1.0
        - 0
      - - 31.332495807107996
        - 0
      - - 4913.0
        - 0
    - - - 1.0
        - 0
      - - -136.332495807108
        - 0
      - - 6859.0
        - 0
    - - - 1.0
        - 0
      - - 100.8654941299512
        - 0
      - - 12167.0
        - 0
    - - - 1.0
        - 0
      - - 288.1979899370592
        - 0
      - - 24389.0
        - 0
    - - - 1.0
        - 0
      - - 208.997487421324
        - 0
      - - 29791.0
        - 0
    - - - 1.0
        - 0
      - - -309.9314907756376
        - 0
      - - 50653.0
        - 0
    - - - 1.0
        - 0
      - - 181.66247903553997
        - 0
      - - 68921.0
        - 0
    - - - 1.0
        - 0
      - - 18.200502515735202
        - 0
      - - 79507.0
        - 0
    - - - 1.0
        - 0
      - - 147.664991614216
        - 0
      - - 103823.0
        - 0
    - - - 1.0
        - 0
      - - 127.99497484264798
        - 0
      - - 148877.0
        - 0
    - - - 1.0
        - 0
      - - -322.664991614216
        - 0
      - - 205379.0
        - 0
    - - - 1.0
        - 0
      - - -341.00251257867603
        - 0
      - - 226981.0
        - 0
    - - - 1.0
        - 0
      - - 84.39597987411838
        - 0
      - - 300763.0
        - 0
    - - - 1.0
        - 0
      - - 315.7360134172544
        - 0
      - - 357911.0
        - 0
    - - - 1.0
        - 0
      - - 1093.32495807108
        - 0
      - - 389017.0
        - 0
    - - - 1.0
        - 0
      - - -1233.185427043679
        - 0
      - - 493039.0
        - 0
    - - - 1.0
        - 0
      - - 643.32495807108
        - 0
      - - 571787.0
        - 0
    - - - 1.0
        - 0
      - - -1140.317420335052
        - 0
      - - 704969.0
        - 0
    - - - 1.0
        - 0
      - - -1411.992462263972
        - 0
      - - 912673.0
        - 0
    - - - 1.0
        - 0
      - - 545.6725293502441
        - 0
      - - 1030301.0
        - 0
    - - - 1.0
        - 0
      - - -780.989949685296
        - 0
      - - 1092727.0
        - 0
    - - - 1.0
        - 0
      - - 620.659966456864
        - 0
      - - 1225043.0
        - 0
    - - - 1.0
        - 0
      - - -4.187939622355157
        - 0
      - - 1295029.0
        - 0
    - - - 1.0
        - 0
      - - -1413.5304857441672
        - 0
      - - 1442897.0
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 18843649
    index: 26
    label: 2-245-1.1-c3-0-26
    load_key: CMFs-workshop
    motivic_weight: 3
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 3
    order_of_vanishing: 0
    origin: ModularForm/GL2/Q/holomorphic/245/4/a/j/1/2
    plot_delta:
      __RealLiteral__: 0
      data: '0.125'
      prec: 17
    plot_values:
    - 5.75902161092541
    - 5.72758466892499
    - 5.6331713006472555
    - 5.475563919901854
    - 5.254689408634892
    - 4.97101753185502
    - 4.626051200008911
    - 4.222849937439321
    - 3.766521767662091
    - 3.264617898439478
    - 2.7273687018621993
    - 2.1677082146852396
    - 1.6010475790259782
    - 1.0447754157896043
    - 0.5174848156964765
    - 0.037951760064467904
    - -0.3760829630313688
    - -0.7092489130340593
    - -0.9498939612470543
    - -1.0913216341390466
    - -1.132784147171937
    - -1.0800990953094243
    - -0.9457736118151725
    - -0.7485509362889357
    - -0.5123402410706377
    - -0.2645488573814122
    - -0.03390232881859861
    - 0.15209424914648179
    - 0.2698380649929969
    - 0.3021903835204638
    - 0.24063005785400632
    - 0.08671513343822801
    - -0.14739233971310256
    - -0.43950930499664703
    - -0.7591878673676353
    - -1.0705805422454413
    - -1.3362097199863425
    - -1.521300436799457
    - -1.5982223553316872
    - -1.5505146212687566
    - -1.375951569123327
    - -1.0881586309247167
    - -0.7164094255449759
    - -0.3034210314180817
    - 0.09880063372549779
    - 0.4347541308980733
    - 0.6523112577567173
    - 0.7098883393053083
    - 0.5830143175146536
    - 0.2693624844433588
    - -0.20859151997879216
    - -0.8039009906519121
    - -1.4487510185880081
    - -2.0612030742160483
    - -2.5545085158455345
    - -2.8480033340121556
    - -2.878271931810607
    - -2.6090906959907967
    - -2.0386752015562877
    - -1.202978145472307
    - -0.17421005045991353
    - 0.9456578334636507
    - 2.0359670419434743
    - 2.971893535246942
    - 3.64069765401822
    - 3.95758335677239
    - 3.878919028683335
    - 3.4107594986765277
    - 2.6111143669685712
    - 1.5851851076639554
    - 0.47375031785501714
    - -0.5641137782288682
    - -1.3718803394107033
    - -1.8172233386810988
    - -1.8114101271760752
    - -1.3235118134659525
    - -0.38709971474524885
    - 0.9019196720954071
    - 2.396427810479929
    - 3.916932254841692
    - 5.275653146242935
    - 6.302484934844669
    - 6.869033662726582
    - 6.907079028209802
    - 6.418541892825151
    - 5.475263411753491
    - 4.208445990746248
    - 2.7892302442855406
    - 1.4033212857692627
    - 0.2235849340919857
    - -0.6150758701580098
    - -1.0345703677302929
    - -1.0231933740078512
    - -0.6344409545748926
    - 0.0246138530562861
    - 0.8132951422817427
    - 1.5821264859980502
    - 2.1981130747580404
    - 2.5660957913295612
    - 2.6425049493672774
    - 2.43925300538595
    - 2.017343785454456
    - 1.4717027629209105
    - 0.9103832882149135
    - 0.4323540093155098
    - 0.10830647590039526
    - -0.031723512704547624
    - -0.0015415703602022377
    - 0.1476772061710041
    - 0.3419468758495801
    - 0.5038068410821042
    - 0.5720579104963349
    - 0.5173695467376123
    - 0.3500612229135
    - 0.11803460910294596
    - -0.10497787799921757
    - -0.2384333297974811
    - -0.21703470256097376
    - -0.01062995970733252
    - 0.36307880522783204
    - 0.8367327666548355
    - 1.3038815066391285
    - 1.6406205744374722
    - 1.7343264681654174
    - 1.5135132740714239
    - 0.972009496403361
    - 0.18127735526521627
    - -0.7132531701726679
    - -1.5128241603617252
    - -2.0003240555637314
    - -1.9835917826509804
    - -1.338693802964253
    - -0.044063929100877926
    - 1.8024754776962062
    - 3.9888837989775605
    - 6.217140179579215
    - 8.150741630878876
    - 9.473439941228733
    - 9.94837064521828
    - 9.46596838235012
    - 8.070649474621483
    - 5.9599710760486655
    - 3.4551783530090328
    - 0.9477124768867906
    - -1.1687869710277639
    - -2.568253991341131
    - -3.0503097037481566
    - -2.5753096276826954
    - -1.2693276077766065
    - 0.6019849737962432
    - 2.6854771381032405
    - 4.6080749289107175
    - 6.046292996677247
    - 6.783810275867938
    - 6.745843861509166
    - 6.0040334018915775
    - 4.751833985756242
    - 3.2566431889189733
    - 1.7996930214131095
    - 0.6170632359257372
    - -0.14548659725757238
    - -0.4546448669459474
    - -0.38489715362880117
    - -0.08957677194762705
    - 0.24439215215872964
    - 0.44653998946472834
    - 0.4054309248277642
    - 0.09372508857745786
    - -0.42974310583634856
    - -1.0405023422634545
    - -1.585580458886927
    - -1.92715117783133
    - -1.9811165562927102
    - -1.740514094681658
    - -1.2776813081900167
    - -0.7247098919946903
    - -0.23744782760863206
    - 0.04731522159243506
    - 0.04996394016328824
    - -0.2289039496139162
    - -0.7069971509533726
    - -1.2412094100254571
    - -1.6656623140839202
    - -1.8369860823331714
    - -1.6747306612402564
    - -1.1858109010655213
    - -0.46590772018288307
    - 0.3232193595612172
    - 0.9950626330295339
    - 1.387676584301234
    - 1.4078065597256113
    - 1.0576595619615374
    - 0.4364660559682737
    - -0.2844035816095648
    - -0.9068082238615537
    - -1.2598866518501843
    - -1.2481390037350675
    - -0.8799419477264316
    - -0.2677371031594848
    - 0.40139886350679127
    - 0.9179124096481043
    - 1.111079597873552
    - 0.9025885455421153
    - 0.3367071786505042
    - -0.42308340005852996
    - -1.132430166731058
    - -1.5312670163479984
    - -1.4196740923317441
    - -0.7242468540957789
    - 0.4640805487645327
    - 1.8934746946049952
    - 3.1984802443032696
    - 3.9822522893934136
    - 3.915051443221849
    - 2.8248249724756698
    - 0.7562012361195912
    - -2.0191176537924407
    - -5.0462099606399855
    - -7.7773318720281335
    - -9.689186997627205
    - -10.399933091780197
    - -9.75789661577602
    - -7.88006859540689
    - -5.130189398118265
    - -2.0407430857578808
    - 0.8031558101802241
    - 2.8906646998203733
    - 3.8929886244130616
    - 3.7269542234301403
    - 2.5603712365176703
    - 0.7596282466343413
    - -1.2058922814517004
    - -2.877795054492806
    - -3.912573899576374
    - -4.1506181665317055
    - -3.635408822624352
    - -2.5813895042877832
    - -1.3022660153095633
    - -0.121100264097113
    - 0.7129380496613102
    - 1.079652296211972
    - 1.002262409944939
    - 0.6207566992101424
    - 0.13521891661130542
    - -0.26201191317394407
    - -0.4445163927891499
    - -0.3836665610775929
    - -0.14647079229017318
    - 0.13750174097647502
    - 0.3275739777183492
    - 0.3240315831043661
    - 0.10355470689962874
    - -0.27329317854293556
    - -0.6843712063633668
    - -0.9899894732087348
    - -1.0833629944358527
    - -0.929998800303743
    positive_zeros:
    - '1.88561817777381399392277858905134'
    - '3.27028563145929960322759286152818'
    - '3.92591194441171380100827390480644'
    - '5.46802156274272187664260207126070'
    - '6.19995531418782793662909315371287'
    - '7.51979363449750788782525661999916'
    - '8.804817775980628669730559274886791'
    - '9.540686116183285924535022904666398'
    - '11.15330591836305629358613737650068'
    - '11.74587977499222614555230142234169'
    prelabel: 2-245-1.1-c3-0
    primitive: true
    rational: false
    root_analytic_conductor: 3.802034712020191
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: c3-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.88561817777381399392277858905'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '3.27028563145929960322759286153'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '3.92591194441171380100827390481'
      prec: 103
- - algebraic: true
    analytic_conductor: 14.455467951406456
    bad_primes:
    - 5
    - 7
    central_character: '1.1'
    conductor: 245
    conductor_radical: 35
    degree: 2
    id: 18843649
    index: 26
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/245/4/a/j/1/2
    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: 2-245-1.1-c3-0-26
    motivic_weight: 3
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 3
    order_of_vanishing: 0
    prelabel: 2-245-1.1-c3-0
    primitive: true
    rational: false
    root_analytic_conductor: 3.802034712020191
    root_angle: 0.0
    self_dual: true
    spectral_label: c3-0
    z1:
      __RealLiteral__: 0
      data: '1.88561817777381399392277858905'
      prec: 103
- - Lhash: '2390305014856235481849228306412'
    Lhash_array:
    - '2390305014856235481849228306412'
    id: 19209715
    label: 2-245-1.1-c3-0-26
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/245/4/a/j/1/2
label_cols:
- label
- label
- label
labels:
- 2-245-1.1-c3-0-26
- 2-245-1.1-c3-0-26
- 2-245-1.1-c3-0-26
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T18:27:27.946901'