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    id: 20362663
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    label: 8-1805e4-1.1-c1e4-0-5
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    origin: ModularForm/GL2/Q/holomorphic/1805/2/a/j
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    - '8.939294838340416080732404248123938'
    - '9.008413290271915467619781608173958'
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    primitive: false
    rational: true
    root_analytic_conductor: 3.7964453854679796
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: c1e4-0
    trace_hash: 130407481840851354
    types:
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    z1:
      __RealLiteral__: 0
      data: '1.08720259256496384442333576610'
      prec: 103
    z2:
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      data: '1.38814385731444096100905722486'
      prec: 103
    z3:
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      data: '1.76492921063241349373842219227'
      prec: 103
- - algebraic: true
    analytic_conductor: 43153.62199339725
    bad_primes:
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    - 19
    central_character: '1.1'
    conductor: 10614726900625
    conductor_radical: 95
    degree: 8
    dirichlet_coefficients:
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    euler19:
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    - 0
    - 0
    - 0
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    euler2:
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    - 3
    - 4
    - 8
    - 8
    - 12
    - 8
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    euler23:
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    euler29:
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    euler3:
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    - 36
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    euler31:
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    euler47:
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    euler5:
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    - -4
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    - 0
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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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    euler79:
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    euler83:
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    euler89:
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    euler97:
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      - 16
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      - 47525
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      - 2819876
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      - 340
      - 4300
      - 46303
      - 417100
      - 3199060
      - 17340787
      - 88529281
    id: 20362663
    index: 5
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/1805/2/a/j
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    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: 8-1805e4-1.1-c1e4-0-5
    motivic_weight: 1
    mu_imag: []
    mu_real: []
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      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
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    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
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    - 1
    - 1
    - 1
    order_of_vanishing: 4
    prelabel: 8-1805e4-1.1-c1e4-0
    primitive: false
    rational: true
    root_analytic_conductor: 3.7964453854679796
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e4-0
    trace_hash: 130407481840851354
    z1:
      __RealLiteral__: 0
      data: '1.08720259256496384442333576610'
      prec: 103
- - Lhash: 1378193019034663553368314002320,1759681393927780714633907829156,2237313573218514082212291694123,2724315746083752474648477379573
    Lhash_array:
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    - '1759681393927780714633907829156'
    - '2237313573218514082212291694123'
    - '2724315746083752474648477379573'
    id: 20735250
    label: 8-1805e4-1.1-c1e4-0-5
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/1805/2/a/j
label_cols:
- label
- label
- label
labels:
- 8-1805e4-1.1-c1e4-0-5
- 8-1805e4-1.1-c1e4-0-5
- 8-1805e4-1.1-c1e4-0-5
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T04:27:49.889120'