data:
- - A10: 0
    A2: 0
    A3: 1
    A4: 0
    A5: 0
    A6: 0
    A7: 1
    A8: 0
    A9: 1
    Lhash: '33602078434944448'
    a10:
    - 0.0
    - 0
    a2:
    - 0.0
    - 0
    a3:
    - 0.5773502691896258
    - 0
    a4:
    - 0.0
    - 0
    a5:
    - 0.0
    - 0
    a6:
    - 0.0
    - 0
    a7:
    - 0.3779644730092272
    - 0
    a8:
    - 0.0
    - 0
    a9:
    - 0.3333333333333333
    - 0
    algebraic: true
    analytic_conductor: 368.90885733831556
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - 1
    - - 3
      - - 1
        - -1
    - - 5
      - - 1
    - - 7
      - - 1
        - -1
    - - 11
      - - 1
        - -1
    bad_primes:
    - 2
    - 3
    - 5
    - 7
    - 11
    central_character: '46200.1'
    coefficient_field: 1.1.1.1
    conductor: 46200
    conductor_radical: 2310
    degree: 2
    euler_factors:
    - - 1
    - - 1
      - -1
    - - 1
    - - 1
      - -1
    - - 1
      - -1
    - - 1
      - -2
      - 13
    - - 1
      - 6
      - 17
    - - 1
      - 2
      - 19
    - - 1
      - -8
      - 23
    - - 1
      - 8
      - 29
    - - 1
      - 0
      - 31
    - - 1
      - 6
      - 37
    - - 1
      - -8
      - 41
    - - 1
      - -8
      - 43
    - - 1
      - -6
      - 47
    - - 1
      - 10
      - 53
    - - 1
      - 0
      - 59
    - - 1
      - -10
      - 61
    - - 1
      - -2
      - 67
    - - 1
      - -8
      - 71
    - - 1
      - -6
      - 73
    - - 1
      - -6
      - 79
    - - 1
      - 4
      - 83
    - - 1
      - 14
      - 89
    - - 1
      - 2
      - 97
    gamma_factors:
    - []
    - - 0
    id: 7852853
    index: 30
    label: 2-46200-1.1-c1-0-30
    leading_term: '3.1767235733'
    load_key: Cremona
    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: EllipticCurve/Q/46200/dd
    plot_delta:
      __RealLiteral__: 0
      data: '0.25'
      prec: 14
    plot_values:
    - 3.176723573302079
    - 2.567737379888161
    - 0.9439821051708035
    - -0.9824312508231626
    - -2.095622355904142
    - -1.61591573667196
    - 0.04381715636170784
    - 1.368586076271367
    - 1.095420718892912
    - -0.361134300662102
    - -1.142875072736427
    - 0.008098895088465922
    - 2.075575132081541
    - 2.731902797889304
    - 1.18077546632913
    - -0.6363315541535745
    - -0.4224464633939726
    - 1.292127239188206
    - 1.643767265706315
    - -0.5267690381421932
    - -2.56820411307829
    - -1.381314609508086
    - 1.940728733545886
    - 3.049920598043895
    - 0.2418218850589889
    - -2.953384863459984
    - -2.643500814569564
    - -0.06256982021821338
    - 0.5528991509793212
    - -1.451414699806281
    - -2.31968392451772
    - -0.1140395829527082
    - 2.061760206361736
    - 1.128822707790165
    - -1.031891762393685
    - -1.044126723778027
    - 0.1841549693528116
    - -0.4016354189667804
    - -1.700499528167785
    - 0.243008487183115
    - 4.759764173918879
    - 6.298684375454212
    - 3.0453518100263
    - -0.1346322863149785
    - -0.0009003179191182851
    - -0.101337887746349
    - -3.423059181717762
    - -5.775484942216203
    - -2.576973092846073
    - 2.56170268281784
    - 3.23561058150039
    - 0.5275006883995846
    - 0.06098050758951709
    - 1.723029394121963
    - 0.9277082144352137
    - -1.872676916380706
    - -2.030029345067562
    - 0.07887251788445646
    - -0.1670872894577043
    - -2.390536496517436
    - -2.046800351674348
    - 0.2887095571621456
    - 0.1979410219738419
    - -0.9840650203262129
    - 1.637646850007614
    - 5.754003519790979
    - 4.651896132142677
    - -0.1592189935439947
    - -1.133830619865334
    - 1.576487659184235
    - 1.287374397959602
    - -1.620828924547847
    - -0.7288621900112126
    - 3.113813011409731
    - 3.208443853072112
    - 0.1261885816670574
    - -0.08107148408223736
    - 1.731133555829605
    - 0.4678623715468053
    - -1.8655368080016
    - -0.3976101090697099
    - 2.093355941303505
    - 0.9756163521171171
    - -0.7838012123117345
    - 0.08141480005946182
    - -0.4569733584520776
    - -4.147762632604421
    - -4.749584116007288
    - -0.4727768655930388
    - 1.421637383366527
    - -0.7905116208925704
    - 0.1565473653847955
    - 4.615179906198035
    - 4.282734005526873
    - -0.8026795911011979
    - -1.980312003800761
    - 0.9882511848695947
    - 0.9942856785264682
    - -1.104107669158718
    - 0.06116429977512082
    - 1.686086617948723
    - -0.4274634278833562
    - -1.833326179545393
    - 0.5892854551809694
    - 1.35308516056356
    - -1.349881846160864
    - -1.646419172979833
    - 0.533449389324183
    - -0.4730187052522374
    - -2.37524868178573
    - 0.2794331325232742
    - 2.973946569594201
    - 0.7389691205840012
    - -0.1692944519238523
    - 3.942804850885001
    - 4.921117254937422
    - 0.03387897395955959
    - -1.657031888707962
    - 1.612731767033301
    - 1.448407585801068
    - -1.939606349684089
    positive_zeros:
    - '0.6190180101580109'
    - '1.493872735425377'
    - '2.190904300504649'
    - '2.748971695789493'
    - '3.641420146238449'
    - '4.067967547802444'
    - '4.702217572951090'
    - '5.355879725874651'
    - '6.015567514792967'
    - '6.757243742438973'
    - '7.087996139946467'
    - '7.759610481936288'
    - '8.368229109642211'
    - '8.946339794855879'
    - '9.177603887765288'
    - '9.734254779228649'
    - '10.72912390896380'
    - '11.00023693817101'
    - '11.23493817147837'
    - '12.11416711953360'
    - '12.82276249478061'
    - '12.98771334431846'
    - '13.58184441975495'
    - '14.23773417121853'
    - '14.47714479437703'
    - '15.21091429200103'
    - '15.53071516561728'
    - '15.89576466861468'
    - '16.73997037682506'
    - '17.10917365208164'
    - '17.60478360655520'
    - '18.04869893680988'
    - '18.76394311420697'
    - '19.01127821394581'
    - '19.54004539645818'
    prelabel: 2-46200-1.1-c1-0
    primitive: true
    rational: true
    root_analytic_conductor: 19.207000217064493
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    spectral_label: c1-0
    st_group: SU(2)
    trace_hash: 33602078434944448
    z1:
      __RealLiteral__: 0
      data: '0.6190180101580109'
      prec: 60
    z2:
      __RealLiteral__: 0
      data: '1.493872735425377'
      prec: 57
    z3:
      __RealLiteral__: 0
      data: '2.190904300504649'
      prec: 57
- - algebraic: true
    analytic_conductor: 368.90885733831556
    bad_primes:
    - 2
    - 3
    - 5
    - 7
    - 11
    central_character: '1.1'
    conductor: 46200
    conductor_radical: 2310
    degree: 2
    dirichlet_coefficients:
    - 1
    - 0
    - 1
    - 0
    - 0
    - 0
    - 1
    - 0
    - 1
    - 0
    - 1
    - 0
    - 2
    - 0
    - 0
    - 0
    - -6
    - 0
    - -2
    - 0
    - 1
    - 0
    - 8
    - 0
    - 0
    - 0
    - 1
    - 0
    - -8
    - 0
    - 0
    - 0
    - 1
    - 0
    - 0
    - 0
    - -6
    - 0
    - 2
    - 0
    - 8
    - 0
    - 8
    - 0
    - 0
    - 0
    - 6
    - 0
    - 1
    - 0
    - -6
    - 0
    - -10
    - 0
    - 0
    - 0
    - -2
    - 0
    - 0
    - 0
    - 10
    - 0
    - 1
    - 0
    - 0
    - 0
    - 2
    - 0
    - 8
    - 0
    - 8
    - 0
    - 6
    - 0
    - 0
    - 0
    - 1
    - 0
    - 6
    - 0
    - 1
    - 0
    - -4
    - 0
    - 0
    - 0
    - -8
    - 0
    - -14
    - 0
    - 2
    - 0
    - 0
    - 0
    - 0
    - 0
    - -2
    - 0
    - 1
    - 0
    euler11:
    - 1
    - -1
    - 0
    euler13:
    - 1
    - -2
    - 13
    euler17:
    - 1
    - 6
    - 17
    euler19:
    - 1
    - 2
    - 19
    euler2:
    - 1
    - 0
    - 0
    euler23:
    - 1
    - -8
    - 23
    euler29:
    - 1
    - 8
    - 29
    euler3:
    - 1
    - -1
    - 0
    euler31:
    - 1
    - 0
    - 31
    euler37:
    - 1
    - 6
    - 37
    euler41:
    - 1
    - -8
    - 41
    euler43:
    - 1
    - -8
    - 43
    euler47:
    - 1
    - -6
    - 47
    euler5:
    - 1
    - 0
    - 0
    euler53:
    - 1
    - 10
    - 53
    euler59:
    - 1
    - 0
    - 59
    euler61:
    - 1
    - -10
    - 61
    euler67:
    - 1
    - -2
    - 67
    euler7:
    - 1
    - -1
    - 0
    euler71:
    - 1
    - -8
    - 71
    euler73:
    - 1
    - -6
    - 73
    euler79:
    - 1
    - -6
    - 79
    euler83:
    - 1
    - 4
    - 83
    euler89:
    - 1
    - 14
    - 89
    euler97:
    - 1
    - 2
    - 97
    euler_factors:
    - - 1
      - 0
      - 0
    - - 1
      - -1
      - 0
    - - 1
      - 0
      - 0
    - - 1
      - -1
      - 0
    - - 1
      - -1
      - 0
    - - 1
      - -2
      - 13
    - - 1
      - 6
      - 17
    - - 1
      - 2
      - 19
    - - 1
      - -8
      - 23
    - - 1
      - 8
      - 29
    - - 1
      - 0
      - 31
    - - 1
      - 6
      - 37
    - - 1
      - -8
      - 41
    - - 1
      - -8
      - 43
    - - 1
      - -6
      - 47
    - - 1
      - 10
      - 53
    - - 1
      - 0
      - 59
    - - 1
      - -10
      - 61
    - - 1
      - -2
      - 67
    - - 1
      - -8
      - 71
    - - 1
      - -6
      - 73
    - - 1
      - -6
      - 79
    - - 1
      - 4
      - 83
    - - 1
      - 14
      - 89
    - - 1
      - 2
      - 97
    id: 7852853
    index: 30
    instance_types:
    - ECQ
    instance_urls:
    - EllipticCurve/Q/46200/dd
    is_instance_Artin: false
    is_instance_BMF: false
    is_instance_CMF: false
    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: 2-46200-1.1-c1-0-30
    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: 2-46200-1.1-c1-0
    primitive: true
    rational: true
    root_analytic_conductor: 19.207000217064493
    root_angle: 0.0
    self_dual: true
    spectral_label: c1-0
    trace_hash: 33602078434944448
    z1:
      __RealLiteral__: 0
      data: '0.6190180101580109'
      prec: 60
- - Lhash: '33602078434944448'
    Lhash_array:
    - '33602078434944448'
    id: 251127
    label: 2-46200-1.1-c1-0-30
    type: ECQ
    url: EllipticCurve/Q/46200/dd
label_cols:
- label
- label
- label
labels:
- 2-46200-1.1-c1-0-30
- 2-46200-1.1-c1-0-30
- 2-46200-1.1-c1-0-30
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-16T19:00:59.750903'