data:
- - Lhash: '1426417452280352150790245409608'
    a10:
    - 0.0
    - 0.0
    a2:
    - 0.0
    - 0.0
    a3:
    - -1.2107558809591916
    - 0.0
    a4:
    - 0.0
    - 0.0
    a5:
    - -1.0
    - 0.0
    a6:
    - 0.0
    - 0.0
    a7:
    - 1.0
    - 0.0
    a8:
    - 0.0
    - 0.0
    a9:
    - -1.5340701967227315
    - 0.0
    accuracy: 100
    algebraic: true
    analytic_conductor: 49.18784764510874
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 5
      - - - 1.0
          - 0
        - - 1.0
          - 0
    - - 7
      - - - 1.0
          - 0
        - - -1.0
          - 0
    - - 11
      - - - 1.0
          - 0
        - - -1.0
          - 0
    bad_primes:
    - 2
    - 5
    - 7
    - 11
    central_character: '6160.1'
    coefficient_field: CDF
    conductor: 6160
    conductor_radical: 770
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 1.2107558809591916
        - 0
      - - 3.0
        - 0
    - - - 1.0
        - 0
      - - 1.0
        - 0
    - - - 1.0
        - 0
      - - -1.0
        - 0
    - - - 1.0
        - 0
      - - -1.0
        - 0
    - - - 1.0
        - 0
      - - 1.2107558809591916
        - 0
      - - 13.0
        - 0
    - - - 1.0
        - 0
      - - -4.278896274404655
        - 0
      - - 17.0
        - 0
    - - - 1.0
        - 0
      - - 7.068140393445463
        - 0
      - - 19.0
        - 0
    - - - 1.0
        - 0
      - - -2.955581958641115
        - 0
      - - 23.0
        - 0
    - - - 1.0
        - 0
      - - 2.0
        - 0
      - - 29.0
        - 0
    - - - 1.0
        - 0
      - - -6.166337839600307
        - 0
      - - 31.0
        - 0
    - - - 1.0
        - 0
      - - 4.955581958641115
        - 0
      - - 37.0
        - 0
    - - - 1.0
        - 0
      - - -0.16633783960030674
        - 0
      - - 41.0
        - 0
    - - - 1.0
        - 0
      - - 6.445234114004961
        - 0
      - - 43.0
        - 0
    - - - 1.0
        - 0
      - - -2.7004080363230383
        - 0
      - - 47.0
        - 0
    - - - 1.0
        - 0
      - - -4.112558434804348
        - 0
      - - 53.0
        - 0
    - - - 1.0
        - 0
      - - -14.724130388409616
        - 0
      - - 59.0
        - 0
    - - - 1.0
        - 0
      - - 14.391454709209002
        - 0
      - - 61.0
        - 0
    - - - 1.0
        - 0
      - - -9.602210590168195
        - 0
      - - 67.0
        - 0
    - - - 1.0
        - 0
      - - 6.136280786890926
        - 0
      - - 71.0
        - 0
    - - - 1.0
        - 0
      - - 12.278896274404655
        - 0
      - - 73.0
        - 0
    - - - 1.0
        - 0
      - - -12.112558434804349
        - 0
      - - 79.0
        - 0
    - - - 1.0
        - 0
      - - -1.4896521553638467
        - 0
      - - 83.0
        - 0
    - - - 1.0
        - 0
      - - -2.4215117619183832
        - 0
      - - 89.0
        - 0
    - - - 1.0
        - 0
      - - 7.714769024972543
        - 0
      - - 97.0
        - 0
    - - - 1.0
        - 0
      - - 14.077501756882537
        - 0
      - - 101.0
        - 0
    - - - 1.0
        - 0
      - - -13.7685484297685
        - 0
      - - 103.0
        - 0
    - - - 1.0
        - 0
      - - -5.91116391728223
        - 0
      - - 107.0
        - 0
    - - - 1.0
        - 0
      - - -0.42151176191838347
        - 0
      - - 109.0
        - 0
    - - - 1.0
        - 0
      - - 13.714769024972544
        - 0
      - - 113.0
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 21478694
    index: 75
    label: 2-6160-1.1-c1-0-75
    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: 1
    origin: ModularForm/GL2/Q/holomorphic/6160/2/a/bd/1/2
    plot_delta:
      __RealLiteral__: 0
      data: '0.046875'
      prec: 27
    plot_values:
    - -3.208742252647151e-61
    - 0.1392266237676609
    - 0.27722413868346074
    - 0.4127329995211468
    - 0.5444353788649066
    - 0.6709323189055317
    - 0.7907279436530943
    - 0.9022223299718405
    - 1.0037141013478434
    - 1.093413253938954
    - 1.1694641928183145
    - 1.229978477623177
    - 1.2730763676793098
    - 1.2969359217900172
    - 1.2998481434527476
    - 1.2802764598848746
    - 1.2369186733325657
    - 1.1687694174418541
    - 1.0751810844098306
    - 0.9559211577221993
    - 0.8112238908527991
    - 0.6418343168052872
    - 0.4490426605209283
    - 0.23470736002390255
    - 0.001265086345786081
    - -0.24827361073693544
    - -0.5103441134516326
    - -0.7808637423970494
    - -1.0552843054417351
    - -1.3286611006303604
    - -1.5957378141613383
    - -1.851046259641792
    - -2.089019398158331
    - -2.3041155746652517
    - -2.4909514206556045
    - -2.6444404228871035
    - -2.7599337603721588
    - -2.833359684060803
    - -2.861357472037202
    - -2.8414018525952534
    - -2.7719137611750035
    - -2.6523533950520766
    - -2.4832917588130674
    - -2.266457257146413
    - -2.0047543882132612
    - -1.7022522151594222
    - -1.364141034770682
    - -0.996656505677305
    - -0.6069714240750962
    - -0.2030563185448896
    - 0.2064889506836837
    - 0.6126293897869368
    - 1.006110689758244
    - 1.3776915782242498
    - 1.7183868111855773
    - 2.0197142417971183
    - 2.2739389023612913
    - 2.474306730957927
    - 2.6152604884520914
    - 2.692630561866165
    - 2.7037937460925847
    - 2.647793739590573
    - 2.525417974485104
    - 2.3392265119547035
    - 2.093530045652776
    - 1.7943155362458783
    - 1.4491196080787851
    - 1.0668515265761522
    - 0.6575692886176092
    - 0.23221403998913204
    - -0.1976903759594457
    - -0.6203644964407876
    - -1.0241174747314257
    - -1.397698040811204
    - -1.7306411042347492
    - -2.013598616752955
    - -2.238643392040713
    - -2.3995350551715178
    - -2.491938167643228
    - -2.513583832768037
    - -2.4643677042272136
    - -2.3463792560428813
    - -2.1638593697332733
    - -1.9230856860481833
    - -1.6321876758443834
    - -1.3008959205669657
    - -0.9402325653451676
    - -0.5621522227258096
    - -0.17914466985385258
    - 0.1961875911098778
    - 0.5515625291679997
    - 0.8754473298397373
    - 1.1574671891468469
    - 1.3887789294801498
    - 1.5623950636257167
    - 1.673445355932305
    - 1.7193648898264966
    - 1.7000000941040423
    - 1.617627030859158
    - 1.476879410542175
    - 1.2845871631271135
    - 1.0495298347947049
    - 0.7821124647830814
    - 0.49397479180312054
    - 0.19754751045576888
    - -0.09442828015127697
    - -0.36940043340891476
    - -0.6155047117082357
    - -0.8220436597614745
    - -0.979926007465935
    - -1.0820482971615148
    - -1.1236022821153584
    - -1.1022942157682687
    - -1.018465363999008
    - -0.8751068152157501
    - -0.6777657991961578
    - -0.4343450975747024
    - -0.15480156337767287
    - 0.1492459182616627
    - 0.464984685000245
    - 0.7789348949055049
    - 1.0775137093992253
    - 1.3476142070724335
    - 1.5771749781947337
    - 1.7557161348252857
    - 1.8748182776766733
    - 1.9285227862874004
    - 1.913634597760871
    - 1.829912321947544
    - 1.6801349768483482
    - 1.4700396494806387
    - 1.208129795629414
    - 0.9053594644115984
    - 0.5747042333735254
    - 0.2306348251477762
    - -0.1114859884976636
    - -0.4360587246853453
    - -0.7279273972886631
    - -0.973055440315021
    - -1.1591676422250976
    - -1.2763291292320393
    - -1.3174344767169932
    - -1.2785833152868515
    - -1.159323222162701
    - -0.9627460856153626
    - -0.6954302873167095
    - -0.3672277111515395
    - 0.00909852710412046
    - 0.4183729299765054
    - 0.8436239341181528
    - 1.2667928530754369
    - 1.6695058528401703
    - 2.0338758222815803
    - 2.343298863321624
    - 2.5832095313139494
    - 2.741759974229528
    - 2.810390747722308
    - 2.7842652456323185
    - 2.662545232786723
    - 2.448491681660901
    - 2.1493827189140156
    - 1.7762486552217853
    - 1.3434324399982407
    - 0.8679920697871591
    - 0.36896910130965943
    - -0.13344589094695292
    - -0.6188146519999324
    - -1.0673792500607788
    - -1.4609745228483253
    - -1.7838825621472014
    - -2.0235886224300965
    - -2.1714015649537854
    - -2.2229074820494366
    - -2.1782322708746027
    - -2.042097344232948
    - -1.823662011753932
    - -1.5361559179449942
    - -1.1963148298555095
    - -0.8236425579502784
    - -0.4395304091917844
    - -0.06627288183058207
    - 0.27397606029739136
    - 0.5602581556575836
    - 0.7738280413194075
    - 0.8990839496681166
    - 0.9243665914065933
    - 0.8425863473300986
    - 0.6516463353241071
    - 0.354638052908876
    - -0.0402032870726792
    - -0.5197853871282594
    - -1.0666776204148385
    - -1.6598408413881407
    - -2.275536778890547
    - -2.8883764802144283
    - -3.4724600269912487
    - -4.0025546930220015
    - -4.455256145892088
    - -4.810077376977053
    - -5.050412818991401
    - -5.16433048475027
    - -5.145152712757978
    - -4.991795889778436
    - -4.708850885376407
    - -4.306398339345131
    - -3.7995657892929
    - -3.2078462794382743
    - -2.5542099188919236
    - -1.8640502555687006
    - -1.1640157599230059
    - -0.48078272151017604
    - 0.16017088284716366
    - 0.7357306867664454
    - 1.2261932352494729
    - 1.6161437286641342
    - 1.8951209033422936
    - 2.0580362565075423
    - 2.1053270848095265
    - 2.042836204387384
    - 1.8814250784370805
    - 1.6363406848944662
    - 1.3263691046769048
    - 0.9728198330809419
    - 0.5983936227167228
    - 0.2259927735556358
    - -0.12246415229360852
    - -0.427161387025271
    - -0.6713804116462944
    - -0.8423179729087136
    - -0.9316851531708334
    - -0.9360566277367165
    - -0.8569526053868834
    - -0.7006503255280305
    - -0.47773661542144036
    - -0.20242710561772764
    - 0.10830950788319557
    - 0.4357729882983482
    - 0.7606415456740053
    - 1.0641078998362432
    - 1.3289773714640476
    - 1.5406658266388573
    - 1.6880406407291513
    - 1.7640563997954488
    - 1.7661483848486095
    - 1.696360389519358
    - 1.5611983788629744
    - 1.371217088661148
    - 1.1403620257150533
    - 0.8851035950364003
    - 0.6234124322578599
    - 0.373634736062771
    - 0.15333288940120524
    - -0.021840485292303594
    - -0.13916788989217954
    - -0.18972944290415442
    - -0.1690487106246619
    - -0.07747980904085204
    positive_zeros:
    - '1.12524496262892800779036826499896'
    - '2.32013302890219695624796532014662'
    - '3.25967460176208348156636914441972'
    - '4.14715839200490986527462785505924'
    - '4.90651111433906934923061444324915'
    - '5.50859115809739797985054492547018'
    - '6.31268869311300036962581402023433'
    - '6.88954559492186336378664122714125'
    - '7.72184729672029655294569433512663'
    prelabel: 2-6160-1.1-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 7.013404853928564
    root_angle: 1.0
    root_number: '-1'
    self_dual: true
    sign_arg:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.12524496262892800779036826500'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '2.32013302890219695624796532015'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '3.25967460176208348156636914442'
      prec: 103
- - algebraic: true
    analytic_conductor: 49.18784764510874
    bad_primes:
    - 2
    - 5
    - 7
    - 11
    central_character: '1.1'
    conductor: 6160
    conductor_radical: 770
    degree: 2
    id: 21478694
    index: 75
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/6160/2/a/bd/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: 2-6160-1.1-c1-0-75
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    order_of_vanishing: 1
    prelabel: 2-6160-1.1-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 7.013404853928564
    root_angle: 0.5
    self_dual: true
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '1.12524496262892800779036826500'
      prec: 103
- - Lhash: '1426417452280352150790245409608'
    Lhash_array:
    - '1426417452280352150790245409608'
    id: 21857545
    label: 2-6160-1.1-c1-0-75
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/6160/2/a/bd/1/2
label_cols:
- label
- label
- label
labels:
- 2-6160-1.1-c1-0-75
- 2-6160-1.1-c1-0-75
- 2-6160-1.1-c1-0-75
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T23:57:41.377584'