data:
- - Lhash: dirichlet_L_153.4
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    analytic_normalization: 0
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    central_character: '153.4'
    coeff_info:
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    - \\zeta_{12}
    conductor: 153
    conductor_radical: 51
    conjugate: dirichlet_L_153.115
    degree: 1
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      - a^0
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    gamma_factors:
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    - []
    id: 4356
    index: 0
    label: 1-153-153.4-r0-0-0
    leading_term: -0.0550703679613042596903813291916-0.523163679796798675601882951135*I
    load_key: dirichlet
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
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    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    origin: Character/Dirichlet/153/4
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-153-153.4-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.7105290128734958
    root_angle: 0.9332326570335375
    root_number: -0.978081792684768487058956514140+0.208221052774568301277312900588*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.466616328517'
      prec: 47
    spectral_label: r0-0
    st_group: mu(12)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.587058567174605111600638354319-0.491814403191053674464554323760*I
    z1:
      __RealLiteral__: 0
      data: '0.364281067318'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '2.69277655059'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '3.48981452705'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.7105290128734958
    bad_primes:
    - 3
    - 17
    central_character: '153.4'
    conductor: 153
    conductor_radical: 51
    degree: 1
    id: 4356
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/153/4
    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: 1-153-153.4-r0-0-0
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 0
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    prelabel: 1-153-153.4-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.7105290128734958
    root_angle: 0.46661632851676876
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.364281067318'
      prec: 47
- - Lhash: dirichlet_L_153.4
    Lhash_array:
    - dirichlet_L_153.4
    id: 1785738
    label: 1-153-153.4-r0-0-0
    type: DIR
    url: Character/Dirichlet/153/4
label_cols:
- label
- label
- label
labels:
- 1-153-153.4-r0-0-0
- 1-153-153.4-r0-0-0
- 1-153-153.4-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-13T13:01:35.756094'