data:
- - Lhash: dirichlet_L_2205.2029
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    central_character: '2205.2029'
    coeff_info:
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    - \\zeta_{42}
    conductor: 2205
    conductor_radical: 105
    conjugate: dirichlet_L_2205.664
    degree: 1
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    gamma_factors:
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    - []
    id: 898269
    index: 0
    label: 1-2205-2205.2029-r1-0-0
    leading_term: 0.325088054553292087289219937476+0.625848392119279139254350860659*I
    load_key: dirichlet
    motivic_weight: 0
    mu_imag:
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      data: '0.0'
      prec: 10
    mu_real:
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    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    origin: Character/Dirichlet/2205/2029
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    - '187.09569810166873908998674954669'
    - '187.780161019180126251273231776916'
    - '188.13094751064912039674413393703'
    - '188.85192765993386038275554921472'
    - '189.32946649946777204874235254064'
    - '189.88751333052187976087601545997'
    - '190.86342417064265231664212216908'
    - '191.33243985410253867941154500829'
    - '191.793653239882836565763296121'
    - '192.34382376941597739456755870658'
    - '193.00745724037051762599139646231'
    - '193.56906823482511993575604630321'
    - '194.05896531027866176811434988372'
    - '194.43680042504676069465895638168'
    - '195.07730917808034217055370175235'
    - '195.72479334221517383309780806402'
    - '196.26542520039095566845903047301'
    - '196.646985614573317024998235561044'
    - '197.16650280329246915368075043239'
    - '197.81029921224193251641035327065'
    - '198.65469053480457537326016433616'
    - '198.760977778591565529356347590843'
    - '199.86368015968800050283637773869'
    prelabel: 1-2205-2205.2029-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 236.96015917214817
    root_angle: 0.6950113378684808
    root_number: -0.575034393324113397399846520011+0.818129235814470114710918436995*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.347505668934'
      prec: 47
    spectral_label: r1-0
    st_group: mu(42)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.55544526035765363502542251846-0.224165788280321621664826802192*I
    z1:
      __RealLiteral__: 0
      data: '1.14128097409'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '2.24706355442'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '2.9448163461'
      prec: 40
- - algebraic: true
    analytic_conductor: 236.96015917214817
    bad_primes:
    - 3
    - 5
    - 7
    central_character: '2205.2029'
    conductor: 2205
    conductor_radical: 105
    degree: 1
    id: 898269
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/2205/2029
    is_instance_Artin: false
    is_instance_BMF: false
    is_instance_CMF: false
    is_instance_DIR: true
    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: 1-2205-2205.2029-r1-0-0
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 1
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    prelabel: 1-2205-2205.2029-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 236.96015917214817
    root_angle: 0.3475056689342404
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '1.14128097409'
      prec: 44
- - Lhash: dirichlet_L_2205.2029
    Lhash_array:
    - dirichlet_L_2205.2029
    id: 2621317
    label: 1-2205-2205.2029-r1-0-0
    type: DIR
    url: Character/Dirichlet/2205/2029
label_cols:
- label
- label
- label
labels:
- 1-2205-2205.2029-r1-0-0
- 1-2205-2205.2029-r1-0-0
- 1-2205-2205.2029-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-19T09:26:46.971397'