data:
- - Lhash: '1538925935517202917407641258246'
    a10: 0
    a2: 0
    a3: 0
    a4: 0
    a5: -2
    a6: 0
    a7: 1
    a8: 0
    a9: -3
    accuracy: 100
    algebraic: true
    analytic_conductor: 39.35027811608699
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - 1
    - - 7
      - - 1
        - -1
    - - 11
      - - 1
        - 1
    bad_primes:
    - 2
    - 7
    - 11
    central_character: '4928.1'
    coefficient_field: 1.1.1.1
    conductor: 4928
    conductor_radical: 154
    degree: 2
    euler_factors:
    - - 1
    - - 1
      - 0
      - 3
    - - 1
      - 2
      - 5
    - - 1
      - -1
    - - 1
      - 1
    - - 1
      - 2
      - 13
    - - 1
      - -2
      - 17
    - - 1
      - 0
      - 19
    - - 1
      - -8
      - 23
    - - 1
      - -2
      - 29
    - - 1
      - -8
      - 31
    - - 1
      - -2
      - 37
    - - 1
      - -10
      - 41
    - - 1
      - -4
      - 43
    - - 1
      - 8
      - 47
    - - 1
      - 6
      - 53
    - - 1
      - 0
      - 59
    - - 1
      - 10
      - 61
    - - 1
      - 12
      - 67
    - - 1
      - 16
      - 71
    - - 1
      - 14
      - 73
    - - 1
      - 0
      - 79
    - - 1
      - 0
      - 83
    - - 1
      - 6
      - 89
    - - 1
      - -10
      - 97
    - - 1
      - 18
      - 101
    - - 1
      - 0
      - 103
    - - 1
      - 4
      - 107
    - - 1
      - -2
      - 109
    - - 1
      - -2
      - 113
    euler_factors_factorization:
    - - 1
    - - - - 1
          - 0
          - 3
        - 1
    - - - - 1
          - 2
          - 5
        - 1
    - - - - 1
          - -1
        - 1
    - - - - 1
          - 1
        - 1
    - - - - 1
          - 2
          - 13
        - 1
    - - - - 1
          - -2
          - 17
        - 1
    - - - - 1
          - 0
          - 19
        - 1
    - - - - 1
          - -8
          - 23
        - 1
    - - - - 1
          - -2
          - 29
        - 1
    - - - - 1
          - -8
          - 31
        - 1
    - - - - 1
          - -2
          - 37
        - 1
    - - - - 1
          - -10
          - 41
        - 1
    - - - - 1
          - -4
          - 43
        - 1
    - - - - 1
          - 8
          - 47
        - 1
    - - - - 1
          - 6
          - 53
        - 1
    - - - - 1
          - 0
          - 59
        - 1
    - - - - 1
          - 10
          - 61
        - 1
    - - - - 1
          - 12
          - 67
        - 1
    - - - - 1
          - 16
          - 71
        - 1
    - - - - 1
          - 14
          - 73
        - 1
    - - - - 1
          - 0
          - 79
        - 1
    - - - - 1
          - 0
          - 83
        - 1
    - - - - 1
          - 6
          - 89
        - 1
    - - - - 1
          - -10
          - 97
        - 1
    - - - - 1
          - 18
          - 101
        - 1
    - - - - 1
          - 0
          - 103
        - 1
    - - - - 1
          - 4
          - 107
        - 1
    - - - - 1
          - -2
          - 109
        - 1
    - - - - 1
          - -2
          - 113
        - 1
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 20174936
    index: 74
    label: 2-4928-1.1-c1-0-74
    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/4928/2/a/o
    plot_delta:
      __RealLiteral__: 0
      data: '0.046875'
      prec: 27
    plot_values:
    - -6.642339549513894e-61
    - 0.15152084308604696
    - 0.30204279924399
    - 0.45053293004634004
    - 0.5958925640424338
    - 0.7369301911893429
    - 0.872340832262106
    - 1.0006933697799694
    - 1.1204268549301586
    - 1.229856319142096
    - 1.3271881576909939
    - 1.4105447424837994
    - 1.477997575604757
    - 1.527608016657435
    - 1.5574743998914586
    - 1.5657841918053823
    - 1.5508697157195397
    - 1.5112658775036456
    - 1.4457682597699402
    - 1.3534899071230824
    - 1.233915102153636
    - 1.0869484327611616
    - 0.9129574796322913
    - 0.712807512569734
    - 0.4878866801953275
    - 0.24012031308843984
    - -0.02802686162625522
    - -0.31356157456782546
    - -0.6129866525954465
    - -0.9223398507034636
    - -1.2372469433115902
    - -1.5529887666760265
    - -1.8645815065998548
    - -2.166869114273546
    - -2.45462631887733
    - -2.722670300679415
    - -2.965978705799369
    - -3.1798113371076377
    - -3.359832558512122
    - -3.502231215374041
    - -3.603834714370255
    - -3.6622138327979012
    - -3.6757748492810496
    - -3.643835711966839
    - -3.5666831907420353
    - -3.445608297818509
    - -3.282917703901926
    - -3.0819194191628427
    - -2.8468816397891388
    - -2.582964368780818
    - -2.296124187127389
    - -1.9929933586548574
    - -1.6807352759331964
    - -1.3668790707576024
    - -1.059136994366078
    - -0.7652088924685329
    - -0.4925787311727033
    - -0.24830864586433146
    - -0.03883636189589863
    - 0.13021794760833832
    - 0.2542292626731922
    - 0.32972382319562393
    - 0.35450813680044785
    - 0.32776582919794484
    - 0.2501180163790939
    - 0.12364379515015723
    - -0.048141474745568444
    - -0.2603512136323643
    - -0.5068357958926816
    - -0.7803322870682778
    - -1.0726527819918035
    - -1.3749070128764198
    - -1.6777536000573825
    - -1.9716731424484109
    - -2.2472553362077807
    - -2.495491511942004
    - -2.708063431484805
    - -2.877618916818634
    - -2.9980249199259936
    - -3.064588997728627
    - -3.074240834767994
    - -3.0256664506329662
    - -2.9193890204558444
    - -2.7577917945766814
    - -2.545080386069529
    - -2.2871836503312446
    - -1.9915944485328392
    - -1.6671536984291968
    - -1.3237831987596058
    - -0.9721746915600152
    - -0.6234444244900237
    - -0.2887640199387726
    - 0.02102031789456975
    - 0.2957673811469149
    - 0.5264060255453028
    - 0.7052724715729952
    - 0.8264071040183973
    - 0.8857990343573724
    - 0.8815681544480222
    - 0.814076303734924
    - 0.6859614435369943
    - 0.5020913124588988
    - 0.2694358432392771
    - -0.003139442065777418
    - -0.30515387938178556
    - -0.6248578953555013
    - -0.9496342866868388
    - -1.2664414303315648
    - -1.5622833386865276
    - -1.8246900007927909
    - -2.042190549561863
    - -2.204761521958227
    - -2.3042328677972788
    - -2.334635422820276
    - -2.2924752766842293
    - -2.1769227939181794
    - -1.9899069175583597
    - -1.7361087088801086
    - -1.422851738858966
    - -1.0598908165126746
    - -0.6591044717651667
    - -0.23410045373773264
    - 0.20025289482872938
    - 0.6283533201210614
    - 1.0344306570767288
    - 1.403131390776088
    - 1.720099765783787
    - 1.9725330042780727
    - 2.149688643815703
    - 2.2433233402839816
    - 2.2480446744664553
    - 2.1615604892860154
    - 1.9848139721673437
    - 1.7219969542175642
    - 1.38043856857077
    - 0.9703713157010565
    - 0.5045815297933067
    - -0.0020439744408835884
    - -0.5330588722420505
    - -1.0710658464474236
    - -1.598369444601923
    - -2.0976478105831875
    - -2.552616566392639
    - -2.94865793722103
    - -3.2733891430268476
    - -3.5171461123867864
    - -3.6733616518606733
    - -3.738821222946749
    - -3.7137842920928503
    - -3.6019646421805827
    - -3.4103688500377616
    - -3.148998104523973
    - -2.8304244109900214
    - -2.46925774521578
    - -2.0815256365139447
    - -1.6839907483058076
    - -1.2934350879836527
    - -0.925941358805567
    - -0.5962025552595606
    - -0.3168901441821551
    - -0.098109069419541
    - 0.05303556985823364
    - 0.13273986716683586
    - 0.14065571986730555
    - 0.07989023970924736
    - -0.04315170309859377
    - -0.21907646485779395
    - -0.43594990605872225
    - -0.6798662437803826
    - -0.9356129982334441
    - -1.187402786110935
    - -1.4196391808955178
    - -1.6176817501118577
    - -1.7685748195484157
    - -1.8617055647798224
    - -1.8893596786224336
    - -1.8471470234518967
    - -1.7342751918841421
    - -1.5536555441253836
    - -1.3118337835939409
    - -1.018745146342011
    - -0.6873024544166713
    - -0.33283324252255203
    - 0.02761046387327411
    - 0.3760397189822598
    - 0.6943784213806523
    - 0.9653365008476671
    - 1.1732658771447788
    - 1.3049585282883533
    - 1.3503479008437622
    - 1.303078649337118
    - 1.1609151695071553
    - 0.9259663696358007
    - 0.6047123082280824
    - 0.207827353577213
    - -0.2501960182661505
    - -0.7516092152489339
    - -1.2761327380767218
    - -1.8018139240369178
    - -2.3059797304285885
    - -2.7662418952125747
    - -3.161508571645561
    - -3.4729554118952213
    - -3.6849101671443583
    - -3.7856081690331402
    - -3.7677814434685315
    - -3.629051463560052
    - -3.3721043595087075
    - -3.0046373737647984
    - -2.5390760195990945
    - -1.9920722672578748
    - -1.3838046216066586
    - -0.737110651992815
    - -0.0764909037367569
    - 0.5729702681228481
    - 1.1867168995269433
    - 1.7418144689827015
    - 2.2179719808264853
    - 2.5984441510410092
    - 2.8707700790281923
    - 3.0273122985991905
    - 3.0655694706050776
    - 2.988246771823966
    - 2.8030797353850923
    - 2.5224193386188376
    - 2.162597919823825
    - 1.7431064441276425
    - 1.2856231714339603
    - 0.8129414092658898
    - 0.34784935114056276
    - -0.08798229154861255
    - -0.4750492301173452
    - -0.7969463649887354
    - -1.0411372213548165
    - -1.1995209400210727
    - -1.2687678244874359
    - -1.2504061413116385
    - -1.15065556708301
    - -0.9800157309625674
    - -0.7526310474656639
    - -0.4854648065738937
    - -0.19732566432837592
    - 0.092202292806554
    - 0.363869298551597
    - 0.5998503331607349
    - 0.784757638877039
    - 0.9065203828928423
    - 0.9570831134376003
    - 0.9328838768132106
    - 0.8350842695985787
    - 0.6695367178361157
    - 0.4464882366702397
    - 0.18003410206233647
    - -0.11265148966090498
    - -0.4122683226036128
    - -0.6984767409029065
    - -0.9510601276892735
    positive_zeros:
    - '1.21399850656019313589842252972977'
    - '2.72854508523448958533903853213924'
    - '3.08172507755908328232950357792725'
    - '4.30916127979318708251021123276503'
    - '4.82761578982425423372007838462338'
    - '5.69715804540238922198121355930202'
    - '6.42169131751856764457567127082322'
    - '7.52779608421941576346985997734362'
    - '7.72024110024881070821541339163291'
    prelabel: 2-4928-1.1-c1-0
    primitive: true
    rational: true
    root_analytic_conductor: 6.2729800028445
    root_angle: 1.0
    root_number: '-1'
    self_dual: true
    sign_arg:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    spectral_label: c1-0
    trace_hash: 2155445548887636735
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.21399850656019313589842252973'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '2.72854508523448958533903853214'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '3.08172507755908328232950357793'
      prec: 103
- - algebraic: true
    analytic_conductor: 39.35027811608699
    bad_primes:
    - 2
    - 7
    - 11
    central_character: '1.1'
    conductor: 4928
    conductor_radical: 154
    degree: 2
    dirichlet_coefficients:
    - 1
    - 0
    - 0
    - 0
    - -2
    - 0
    - 1
    - 0
    - -3
    - 0
    - -1
    - 0
    - -2
    - 0
    - 0
    - 0
    - 2
    - 0
    - 0
    - 0
    - 0
    - 0
    - 8
    - 0
    - -1
    - 0
    - 0
    - 0
    - 2
    - 0
    - 8
    - 0
    - 0
    - 0
    - -2
    - 0
    - 2
    - 0
    - 0
    - 0
    - 10
    - 0
    - 4
    - 0
    - 6
    - 0
    - -8
    - 0
    - 1
    - 0
    - 0
    - 0
    - -6
    - 0
    - 2
    - 0
    - 0
    - 0
    - 0
    - 0
    - -10
    - 0
    - -3
    - 0
    - 4
    - 0
    - -12
    - 0
    - 0
    - 0
    - -16
    - 0
    - -14
    - 0
    - 0
    - 0
    - -1
    - 0
    - 0
    - 0
    - 9
    - 0
    - 0
    - 0
    - -4
    - 0
    - 0
    - 0
    - -6
    - 0
    - -2
    - 0
    - 0
    - 0
    - 0
    - 0
    - 10
    - 0
    - 3
    - 0
    euler11:
    - 1
    - 1
    - 0
    euler13:
    - 1
    - 2
    - 13
    euler17:
    - 1
    - -2
    - 17
    euler19:
    - 1
    - 0
    - 19
    euler2:
    - 1
    - 0
    - 0
    euler23:
    - 1
    - -8
    - 23
    euler29:
    - 1
    - -2
    - 29
    euler3:
    - 1
    - 0
    - 3
    euler31:
    - 1
    - -8
    - 31
    euler37:
    - 1
    - -2
    - 37
    euler41:
    - 1
    - -10
    - 41
    euler43:
    - 1
    - -4
    - 43
    euler47:
    - 1
    - 8
    - 47
    euler5:
    - 1
    - 2
    - 5
    euler53:
    - 1
    - 6
    - 53
    euler59:
    - 1
    - 0
    - 59
    euler61:
    - 1
    - 10
    - 61
    euler67:
    - 1
    - 12
    - 67
    euler7:
    - 1
    - -1
    - 0
    euler71:
    - 1
    - 16
    - 71
    euler73:
    - 1
    - 14
    - 73
    euler79:
    - 1
    - 0
    - 79
    euler83:
    - 1
    - 0
    - 83
    euler89:
    - 1
    - 6
    - 89
    euler97:
    - 1
    - -10
    - 97
    euler_factors:
    - - 1
      - 0
      - 0
    - - 1
      - 0
      - 3
    - - 1
      - 2
      - 5
    - - 1
      - -1
      - 0
    - - 1
      - 1
      - 0
    - - 1
      - 2
      - 13
    - - 1
      - -2
      - 17
    - - 1
      - 0
      - 19
    - - 1
      - -8
      - 23
    - - 1
      - -2
      - 29
    - - 1
      - -8
      - 31
    - - 1
      - -2
      - 37
    - - 1
      - -10
      - 41
    - - 1
      - -4
      - 43
    - - 1
      - 8
      - 47
    - - 1
      - 6
      - 53
    - - 1
      - 0
      - 59
    - - 1
      - 10
      - 61
    - - 1
      - 12
      - 67
    - - 1
      - 16
      - 71
    - - 1
      - 14
      - 73
    - - 1
      - 0
      - 79
    - - 1
      - 0
      - 83
    - - 1
      - 6
      - 89
    - - 1
      - -10
      - 97
    id: 20174936
    index: 74
    instance_types:
    - ECQ
    - CMF
    - CMF
    instance_urls:
    - EllipticCurve/Q/4928/o
    - ModularForm/GL2/Q/holomorphic/4928/2/a/o/1/1
    - ModularForm/GL2/Q/holomorphic/4928/2/a/o
    is_instance_Artin: false
    is_instance_BMF: false
    is_instance_CMF: true
    is_instance_DIR: false
    is_instance_ECNF: false
    is_instance_ECQ: true
    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: 2-4928-1.1-c1-0-74
    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: 2-4928-1.1-c1-0
    primitive: true
    rational: true
    root_analytic_conductor: 6.2729800028445
    root_angle: 0.5
    self_dual: true
    spectral_label: c1-0
    trace_hash: 2155445548887636735
    z1:
      __RealLiteral__: 0
      data: '1.21399850656019313589842252973'
      prec: 103
- - Lhash: '1538925935517202917407641258246'
    Lhash_array:
    - '1538925935517202917407641258246'
    id: 20137122
    label: 2-4928-1.1-c1-0-74
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/4928/2/a/o
  - Lhash: '1538925935517202917407641258246'
    Lhash_array:
    - '1538925935517202917407641258246'
    id: 24568119
    label: 2-4928-1.1-c1-0-74
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/4928/2/a/o/1/1
  - Lhash: '2155445548887636735'
    Lhash_array:
    - '2155445548887636735'
    id: 40536
    label: 2-4928-1.1-c1-0-74
    type: ECQ
    url: EllipticCurve/Q/4928/o
label_cols:
- label
- label
- label
labels:
- 2-4928-1.1-c1-0-74
- 2-4928-1.1-c1-0-74
- 2-4928-1.1-c1-0-74
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-23T10:22:00.316457'