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    positive_zeros:
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    - '1.91204956050814003374058696388350'
    - '2.97450618779523508374006928154271'
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    - '10.49217856516854857244707613659034'
    - '11.02327904860097487853365600695492'
    prelabel: 4-585e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 2.161307131863703
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: c1e2-0
    trace_hash: 1665040460546380366
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.897256041534199990641944032128'
      prec: 107
    z2:
      __RealLiteral__: 0
      data: '1.91204956050814003374058696388'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.97450618779523508374006928154'
      prec: 103
- - algebraic: true
    analytic_conductor: 21.82056271920522
    bad_primes:
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    - 5
    - 13
    central_character: '1.1'
    conductor: 342225
    conductor_radical: 195
    degree: 4
    dirichlet_coefficients:
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    euler11:
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    euler13:
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    euler17:
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    euler19:
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    euler2:
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    euler23:
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    euler29:
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    euler3:
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    euler31:
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    euler37:
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    euler41:
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    euler43:
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    euler47:
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    euler5:
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    euler53:
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    euler59:
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    euler61:
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    euler67:
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    euler7:
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    euler71:
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    euler73:
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    euler79:
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    euler83:
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    euler89:
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    euler97:
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    euler_factors:
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      - 4
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    - - 1
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    - - 1
      - 12
      - 136
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      - 3481
    - - 1
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      - 186
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      - 3721
    - - 1
      - 4
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      - 268
      - 4489
    - - 1
      - 4
      - 48
      - 284
      - 5041
    - - 1
      - 0
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      - 0
      - 5329
    - - 1
      - 0
      - 86
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      - 6241
    - - 1
      - -12
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      - 6889
    - - 1
      - 12
      - 214
      - 1068
      - 7921
    - - 1
      - 4
      - 166
      - 388
      - 9409
    id: 11547503
    index: 5
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/585/2/a/m
    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: 4-585e2-1.1-c1e2-0-5
    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: 4-585e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 2.161307131863703
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e2-0
    trace_hash: 1665040460546380366
    z1:
      __RealLiteral__: 0
      data: '0.897256041534199990641944032128'
      prec: 107
- - Lhash: 1137407159609233748005906274245,2423810773044265945482082510186
    Lhash_array:
    - '1137407159609233748005906274245'
    - '2423810773044265945482082510186'
    id: 11906512
    label: 4-585e2-1.1-c1e2-0-5
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/585/2/a/m
label_cols:
- label
- label
- label
labels:
- 4-585e2-1.1-c1e2-0-5
- 4-585e2-1.1-c1e2-0-5
- 4-585e2-1.1-c1e2-0-5
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T17:14:33.558800'