data:
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    - []
    id: 403987
    index: 0
    label: 1-1480-1480.1403-r0-0-0
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    load_key: dirichlet
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    origin: Character/Dirichlet/1480/1403
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    - '195.63300693477125847453978640017'
    - '196.24984410860353495616821284744'
    - '196.59828248800988611255774656754'
    - '197.38948289477436681143548946499'
    - '197.606740298769561146354332470751'
    - '198.23759848818515592520799013785'
    - '199.11946047451825494778020908227'
    - '199.57503121845797979892000984229'
    - '199.87398731260184724383452154744'
    prelabel: 1-1480-1480.1403-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 6.87309110492009
    root_angle: 0.6225865798772152
    root_number: -0.375667661129788255894233982973+0.926754448805763531279963952625*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.311293289939'
      prec: 47
    spectral_label: r0-0
    st_group: mu(36)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.19836581702338697261200169775+0.403140605822905267756820942839*I
    z1:
      __RealLiteral__: 0
      data: '1.54336490225'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '2.32640685895'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '3.37001832768'
      prec: 44
- - algebraic: true
    analytic_conductor: 6.87309110492009
    bad_primes:
    - 2
    - 5
    - 37
    central_character: '1480.1403'
    conductor: 1480
    conductor_radical: 370
    degree: 1
    id: 403987
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/1480/1403
    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: 1-1480-1480.1403-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: 1-1480-1480.1403-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 6.87309110492009
    root_angle: 0.3112932899386076
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.54336490225'
      prec: 44
- - Lhash: dirichlet_L_1480.1403
    Lhash_array:
    - dirichlet_L_1480.1403
    id: 2124995
    label: 1-1480-1480.1403-r0-0-0
    type: DIR
    url: Character/Dirichlet/1480/1403
label_cols:
- label
- label
- label
labels:
- 1-1480-1480.1403-r0-0-0
- 1-1480-1480.1403-r0-0-0
- 1-1480-1480.1403-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T06:05:20.688248'