data:
- - A10: -2
    A2: 2
    A3: 1
    A4: 2
    A5: -1
    A6: 2
    A7: 0
    A8: 0
    A9: 1
    Lhash: '2059086730351255613'
    a10:
    - -0.6324555320336759
    - 0
    a2:
    - 1.414213562373095
    - 0
    a3:
    - 0.5773502691896258
    - 0
    a4:
    - 1.0
    - 0
    a5:
    - -0.4472135954999579
    - 0
    a6:
    - 0.8164965809277261
    - 0
    a7:
    - 0.0
    - 0
    a8:
    - 0.0
    - 0
    a9:
    - 0.3333333333333333
    - 0
    algebraic: true
    analytic_conductor: 259.4100010465337
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 3
      - - 1
        - -1
    - - 7
      - - 1
    - - 13
      - - 1
        - 1
    - - 17
      - - 1
        - 1
    bad_primes:
    - 3
    - 7
    - 13
    - 17
    central_character: '32487.1'
    coefficient_field: 1.1.1.1
    conductor: 32487
    conductor_radical: 4641
    degree: 2
    euler_factors:
    - - 1
      - -2
      - 2
    - - 1
      - -1
    - - 1
      - 1
      - 5
    - - 1
    - - 1
      - -2
      - 11
    - - 1
      - 1
    - - 1
      - 1
    - - 1
      - -7
      - 19
    - - 1
      - 9
      - 23
    - - 1
      - -3
      - 29
    - - 1
      - 3
      - 31
    - - 1
      - 2
      - 37
    - - 1
      - -10
      - 41
    - - 1
      - -3
      - 43
    - - 1
      - 9
      - 47
    - - 1
      - -5
      - 53
    - - 1
      - -12
      - 59
    - - 1
      - -10
      - 61
    - - 1
      - 8
      - 67
    - - 1
      - -2
      - 71
    - - 1
      - 13
      - 73
    - - 1
      - -1
      - 79
    - - 1
      - 1
      - 83
    - - 1
      - -11
      - 89
    - - 1
      - 17
      - 97
    gamma_factors:
    - []
    - - 0
    id: 7791927
    index: 16
    label: 2-32487-1.1-c1-0-16
    leading_term: '12.8403352361'
    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: 1
    origin: EllipticCurve/Q/32487/q
    plot_delta:
      __RealLiteral__: 0
      data: '0.25'
      prec: 14
    plot_values:
    - 0.0
    - 3.067145716457318
    - 5.232239170423535
    - 5.574677214993018
    - 3.703498784887796
    - 0.4150925028278217
    - -2.455965604040738
    - -3.241397303953039
    - -1.810162434608454
    - 0.2527161652611795
    - 1.072061705986602
    - 0.2431220275009388
    - -0.9251902410829725
    - -1.016341255817865
    - -0.1272637050054097
    - 0.4708022037937115
    - 0.1898135153312593
    - -0.02618761525608909
    - 0.8440053526121453
    - 2.131970282281975
    - 2.165919797660812
    - 0.7821933388327197
    - -0.03316513546555351
    - 1.152054336498144
    - 2.800316438077961
    - 2.264754009742773
    - -0.1584527318217693
    - -1.094917687480497
    - 1.11009632462633
    - 3.4821638292199
    - 2.471400701401643
    - -0.388052899729979
    - -0.188882983422269
    - 3.788958029689441
    - 6.056798722794711
    - 2.636522528112342
    - -2.509838042073979
    - -2.817673636215663
    - 0.9931383711485383
    - 1.786757060736108
    - -2.894087816199569
    - -6.431099564078409
    - -2.774708711337559
    - 4.35499280209549
    - 6.794225863584085
    - 3.337566895566127
    - -0.06597877614228538
    - -0.09775197562077749
    - 0.3928137607112577
    - -0.8822768456155472
    - -1.666581387051185
    - -0.157162354049628
    - 1.286031530628388
    - 0.5090644614804832
    - -0.6622555387286808
    - -0.2057277779027448
    - 0.4622246280209608
    - -0.1415860000866366
    - -0.4843155377858143
    - 0.3422263522148472
    - 0.0714985195630792
    - -2.068442044251195
    - -2.810274127294115
    - -0.8726127284118173
    - 0.1488570115414577
    - -0.3287922782141918
    - 3.760969102899013
    - 13.88781094193684
    - 19.75611290617301
    - 13.2045086307285
    - 2.332534836482263
    - -0.2280213484970582
    - 2.888438741884274
    - -0.07961367238147389
    - -8.552936552173813
    - -10.57656459596841
    - -3.695949619158857
    - 1.619853539277824
    - 0.2414631646205046
    - -1.444631047537378
    - 0.4178299587220895
    - 1.419550502021885
    - -0.2112985452141589
    - -0.096990559424294
    - 2.460624054299364
    - 2.805068288457628
    - 0.4534525677670781
    - -0.3178288907635915
    - 0.709962626298056
    - 0.242250238713309
    - -0.8913925889223634
    - -0.03433882333699637
    - 0.6933064824956462
    - -1.213634943455794
    - -2.658951758919303
    - -1.089662108981324
    - 0.1991497129551802
    - -0.6701350487055402
    - -0.4773737455937738
    - 0.7160795329288367
    - -1.2500321241659
    - -4.086379813669361
    - -1.412371330735648
    - 3.316479621710518
    - 1.416748680560853
    - -3.640778001442801
    - -1.996607364745755
    - 2.927733099968766
    - 1.234516426582436
    - -2.820399985738841
    - 0.446806525015791
    - 4.89296980802037
    - -0.06135579414482128
    - -6.726090125858169
    - -2.245103319013023
    - 6.827946413987992
    - 6.610133791984345
    - 0.2512550865256103
    - -1.186701586680449
    - 0.9646792169081185
    - 0.09444427443734568
    positive_zeros:
    - '1.280584055195388'
    - '2.214289509273674'
    - '2.796065352426352'
    - '3.534043100444259'
    - '4.111205876761376'
    - '4.270506538206435'
    - '5.434538235427940'
    - '5.527690842354169'
    - '6.483106466391201'
    - '6.904399562058139'
    - '7.708091633158551'
    - '8.017096735633975'
    - '8.865640503983461'
    - '9.435597453327073'
    - '9.868359292124485'
    - '10.59476406345872'
    - '11.49042472320857'
    - '11.77538696832965'
    - '12.10898108768541'
    - '12.76889878816532'
    - '13.33414529042622'
    - '13.80128122002895'
    - '14.21015160906822'
    - '14.65619003777378'
    - '15.01153499221865'
    - '15.88007797270302'
    - '16.06352298320583'
    - '16.31139759330158'
    - '17.60166013861858'
    - '17.77270925534592'
    - '18.24728702802517'
    - '19.13353720425795'
    - '19.52059058179411'
    - '19.95741057992160'
    prelabel: 2-32487-1.1-c1-0
    primitive: true
    rational: true
    root_analytic_conductor: 16.106210014976636
    root_angle: 1.0
    root_number: '-1'
    self_dual: true
    spectral_label: c1-0
    st_group: SU(2)
    trace_hash: 2059086730351255613
    z1:
      __RealLiteral__: 0
      data: '1.280584055195388'
      prec: 57
    z2:
      __RealLiteral__: 0
      data: '2.214289509273674'
      prec: 57
    z3:
      __RealLiteral__: 0
      data: '2.796065352426352'
      prec: 57
- - algebraic: true
    analytic_conductor: 259.4100010465337
    bad_primes:
    - 3
    - 7
    - 13
    - 17
    central_character: '1.1'
    conductor: 32487
    conductor_radical: 4641
    degree: 2
    dirichlet_coefficients:
    - 1
    - 2
    - 1
    - 2
    - -1
    - 2
    - 0
    - 0
    - 1
    - -2
    - 2
    - 2
    - -1
    - 0
    - -1
    - -4
    - -1
    - 2
    - 7
    - -2
    - 0
    - 4
    - -9
    - 0
    - -4
    - -2
    - 1
    - 0
    - 3
    - -2
    - -3
    - -8
    - 2
    - -2
    - 0
    - 2
    - -2
    - 14
    - -1
    - 0
    - 10
    - 0
    - 3
    - 4
    - -1
    - -18
    - -9
    - -4
    - 0
    - -8
    - -1
    - -2
    - 5
    - 2
    - -2
    - 0
    - 7
    - 6
    - 12
    - -2
    - 10
    - -6
    - 0
    - -8
    - 1
    - 4
    - -8
    - -2
    - -9
    - 0
    - 2
    - 0
    - -13
    - -4
    - -4
    - 14
    - 0
    - -2
    - 1
    - 4
    - 1
    - 20
    - -1
    - 0
    - 1
    - 6
    - 3
    - 0
    - 11
    - -2
    - 0
    - -18
    - -3
    - -18
    - -7
    - -8
    - -17
    - 0
    - 2
    - -8
    euler11:
    - 1
    - -2
    - 11
    euler13:
    - 1
    - 1
    - 0
    euler17:
    - 1
    - 1
    - 0
    euler19:
    - 1
    - -7
    - 19
    euler2:
    - 1
    - -2
    - 2
    euler23:
    - 1
    - 9
    - 23
    euler29:
    - 1
    - -3
    - 29
    euler3:
    - 1
    - -1
    - 0
    euler31:
    - 1
    - 3
    - 31
    euler37:
    - 1
    - 2
    - 37
    euler41:
    - 1
    - -10
    - 41
    euler43:
    - 1
    - -3
    - 43
    euler47:
    - 1
    - 9
    - 47
    euler5:
    - 1
    - 1
    - 5
    euler53:
    - 1
    - -5
    - 53
    euler59:
    - 1
    - -12
    - 59
    euler61:
    - 1
    - -10
    - 61
    euler67:
    - 1
    - 8
    - 67
    euler7:
    - 1
    - 0
    - 0
    euler71:
    - 1
    - -2
    - 71
    euler73:
    - 1
    - 13
    - 73
    euler79:
    - 1
    - -1
    - 79
    euler83:
    - 1
    - 1
    - 83
    euler89:
    - 1
    - -11
    - 89
    euler97:
    - 1
    - 17
    - 97
    euler_factors:
    - - 1
      - -2
      - 2
    - - 1
      - -1
      - 0
    - - 1
      - 1
      - 5
    - - 1
      - 0
      - 0
    - - 1
      - -2
      - 11
    - - 1
      - 1
      - 0
    - - 1
      - 1
      - 0
    - - 1
      - -7
      - 19
    - - 1
      - 9
      - 23
    - - 1
      - -3
      - 29
    - - 1
      - 3
      - 31
    - - 1
      - 2
      - 37
    - - 1
      - -10
      - 41
    - - 1
      - -3
      - 43
    - - 1
      - 9
      - 47
    - - 1
      - -5
      - 53
    - - 1
      - -12
      - 59
    - - 1
      - -10
      - 61
    - - 1
      - 8
      - 67
    - - 1
      - -2
      - 71
    - - 1
      - 13
      - 73
    - - 1
      - -1
      - 79
    - - 1
      - 1
      - 83
    - - 1
      - -11
      - 89
    - - 1
      - 17
      - 97
    id: 7791927
    index: 16
    instance_types:
    - ECQ
    instance_urls:
    - EllipticCurve/Q/32487/q
    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: 2-32487-1.1-c1-0-16
    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: 2-32487-1.1-c1-0
    primitive: true
    rational: true
    root_analytic_conductor: 16.106210014976636
    root_angle: 0.5
    self_dual: true
    spectral_label: c1-0
    trace_hash: 2059086730351255613
    z1:
      __RealLiteral__: 0
      data: '1.280584055195388'
      prec: 57
- - Lhash: '2059086730351255613'
    Lhash_array:
    - '2059086730351255613'
    id: 218399
    label: 2-32487-1.1-c1-0-16
    type: ECQ
    url: EllipticCurve/Q/32487/q
label_cols:
- label
- label
- label
labels:
- 2-32487-1.1-c1-0-16
- 2-32487-1.1-c1-0-16
- 2-32487-1.1-c1-0-16
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T20:12:23.128723'