data:
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    - \\zeta_{330}
    conductor: 4235
    conductor_radical: 385
    conjugate: dirichlet_L_4235.424
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    - []
    id: 3316123
    index: 0
    label: 1-4235-4235.849-r1-0-0
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    load_key: dirichlet
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      data: '0.0'
      prec: 10
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    order_of_vanishing: 0
    origin: Character/Dirichlet/4235/849
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    - '177.32987957561017975755884024153'
    - '177.72840914197034321893963859054'
    - '178.64496996595397950777935097286'
    - '178.800650791641219218544315057410'
    - '179.09034639602740747867036697566'
    - '179.72843773201934780893103743510'
    - '180.56331398779434286682382467849'
    - '180.83064035672508641747541151665'
    - '181.46009073529311218321336141790'
    - '182.10325658535802479252773722811'
    - '182.67651908921026796553911426710'
    - '183.3686359944867613260446723067'
    - '183.96022891032032418245662197276'
    - '184.065936259682862427256476143456'
    - '184.93670118263661089756745302616'
    - '185.49296065190627560797353799344'
    - '185.724095073517222293334004082582'
    - '186.302893182691336545492490574099'
    - '187.06234084341561393706932020433'
    - '187.69157613744812284984941698430'
    - '187.95808901363782931897478155688'
    - '188.55458762411171404098477561898'
    - '188.96197746264283377100103738528'
    - '189.64872164189377677182161243398'
    - '189.87939302724973010519999648534'
    - '190.51763151659464292240659446813'
    - '191.00172411415270296329358712722'
    - '191.49885836450611701871972657892'
    - '192.355036503404117973604211948613'
    - '193.22298292207512426839848963945'
    - '193.381476193296721936304314442355'
    - '194.067839542160396783199514512574'
    - '194.59107209677413446364575225222'
    - '195.035847005488906063752189887734'
    - '195.4675410826845870226883435862'
    - '196.00855846028328343398856506208'
    - '196.42087743779217873307279807417'
    - '197.11345558979486676227695264183'
    - '197.24574277335915938027822494736'
    - '198.21283528905659897251985663772'
    - '198.645374973841316349907733414502'
    - '199.11448059432288845496763581128'
    - '199.61066993763935467046041243615'
    prelabel: 1-4235-4235.849-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 455.11395650523696
    root_angle: 0.5441398952027064
    root_number: -0.138225578960590134067863451122+0.990400772072098933131088323031*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.25'
      prec: 17
    spectral_label: r1-0
    st_group: mu(330)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.791473843615852814078830178103+0.335126717765386459316904504009*I
    z1:
      __RealLiteral__: 0
      data: '0.485493485287'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '1.71986751484'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '2.52785992104'
      prec: 44
- - algebraic: true
    analytic_conductor: 455.11395650523696
    bad_primes:
    - 5
    - 7
    - 11
    central_character: '4235.849'
    conductor: 4235
    conductor_radical: 385
    degree: 1
    id: 3316123
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/4235/849
    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: 1-4235-4235.849-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: 1-4235-4235.849-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 455.11395650523696
    root_angle: 0.2720699476013532
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '0.485493485287'
      prec: 47
- - Lhash: dirichlet_L_4235.849
    Lhash_array:
    - dirichlet_L_4235.849
    id: 5155063
    label: 1-4235-4235.849-r1-0-0
    type: DIR
    url: Character/Dirichlet/4235/849
label_cols:
- label
- label
- label
labels:
- 1-4235-4235.849-r1-0-0
- 1-4235-4235.849-r1-0-0
- 1-4235-4235.849-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-20T01:13:54.892840'