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    - 2.1338092306465914
    positive_zeros:
    - '0.38878806783810151063413324180547'
    - '1.24236527673125871696258896507945'
    - '1.66366257881429197187179758114376'
    - '2.41829803001243573852728731648633'
    - '2.96422302701552219325839491158011'
    - '3.62439317450712667913210896471865'
    - '3.91557220328210265752888404067358'
    - '4.41899804655451168354070894287913'
    - '4.95379099453019211167493133182487'
    - '5.41254595532140251450104078765670'
    - '5.54110775059362398383594301347567'
    - '5.93059242114323604959642214856014'
    - '6.46142402800890392576405098808441'
    - '6.94111526070505957458140205927998'
    - '7.23480578719337984755746912612411'
    - '7.44570103384186901012538675461359'
    - '7.87714954488260912208687688886566'
    - '8.619054464138582699759206127593075'
    - '8.689566754130849929814897972890903'
    - '9.399313986225159804161803806916014'
    prelabel: 4-2352e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 4.33368371658629
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1e2-0
    trace_hash: 1257067105008182052
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.38878806783810151063413324181'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.24236527673125871696258896508'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '1.66366257881429197187179758114'
      prec: 103
- - algebraic: true
    analytic_conductor: 352.7189953645182
    bad_primes:
    - 2
    - 3
    - 7
    central_character: '1.1'
    conductor: 5531904
    conductor_radical: 42
    degree: 4
    dirichlet_coefficients:
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    - -2
    - 0
    - 0
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    - 0
    - 0
    - 3
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    euler11:
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    - 5
    - 0
    - 121
    euler13:
    - 1
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    - 0
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    euler17:
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    euler19:
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    - -76
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    euler2:
    - 1
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    - 0
    - 0
    - 0
    euler23:
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    euler29:
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    - 139
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    euler3:
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    - 2
    - 1
    - 0
    - 0
    euler31:
    - 1
    - -2
    - 63
    - -62
    - 961
    euler37:
    - 1
    - 4
    - 78
    - 148
    - 1369
    euler41:
    - 1
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    - 0
    - 1681
    euler43:
    - 1
    - 0
    - -74
    - 0
    - 1849
    euler47:
    - 1
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    - 94
    - 0
    - 2209
    euler5:
    - 1
    - 0
    - -7
    - 0
    - 25
    euler53:
    - 1
    - -18
    - 187
    - -954
    - 2809
    euler59:
    - 1
    - 6
    - 127
    - 354
    - 3481
    euler61:
    - 1
    - 0
    - -74
    - 0
    - 3721
    euler67:
    - 1
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    euler7:
    - 1
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    - 0
    - 0
    - 0
    euler71:
    - 1
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    euler73:
    - 1
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    euler79:
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    - 0
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    euler83:
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    - 391
    - 2490
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    euler89:
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    euler97:
    - 1
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    euler_factors:
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      - 0
      - 0
      - 0
    - - 1
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      - 0
    - - 1
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      - -7
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      - 0
    - - 1
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    - - 1
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    - - 1
      - 0
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    - - 1
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    - - 1
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    - - 1
      - 18
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      - 522
      - 841
    - - 1
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      - 63
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    - - 1
      - 4
      - 78
      - 148
      - 1369
    - - 1
      - 0
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    - - 1
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    - - 1
      - 0
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    - - 1
      - -18
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      - -954
      - 2809
    - - 1
      - 6
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      - 354
      - 3481
    - - 1
      - 0
      - -74
      - 0
      - 3721
    - - 1
      - 0
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      - 0
      - 4489
    - - 1
      - 0
      - -94
      - 0
      - 5041
    - - 1
      - 0
      - -98
      - 0
      - 5329
    - - 1
      - 0
      - -155
      - 0
      - 6241
    - - 1
      - 30
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      - 2490
      - 6889
    - - 1
      - 0
      - -70
      - 0
      - 7921
    - - 1
      - 0
      - -119
      - 0
      - 9409
    id: 23259735
    index: 7
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/2352/2/b/b
    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: 4-2352e2-1.1-c1e2-0-7
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    - 1
    order_of_vanishing: 0
    prelabel: 4-2352e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 4.33368371658629
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e2-0
    trace_hash: 1257067105008182052
    z1:
      __RealLiteral__: 0
      data: '0.38878806783810151063413324181'
      prec: 103
- - Lhash: 492847427556542950848014936711,2108942866611181221373715009356
    Lhash_array:
    - '492847427556542950848014936711'
    - '2108942866611181221373715009356'
    id: 23607120
    label: 4-2352e2-1.1-c1e2-0-7
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/2352/2/b/b
label_cols:
- label
- label
- label
labels:
- 4-2352e2-1.1-c1e2-0-7
- 4-2352e2-1.1-c1e2-0-7
- 4-2352e2-1.1-c1e2-0-7
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-18T00:54:50.793538'