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    - '4.30393605622137117591546751804374'
    - '4.30483768612326852373799885485819'
    - '4.72689083643345171935497120211142'
    - '4.96271772592126370217239940426074'
    - '5.69750401876247945288874825376600'
    - '5.99743994823797004689189335284743'
    - '6.48349120520564199826544232607131'
    - '6.48525353000009579257296300100626'
    - '7.35693212743132773923222440699632'
    - '7.80323405699484606229033304584778'
    - '8.013495608938935115657463212526513'
    - '8.217657119251712969813260519889594'
    - '8.594596012387730146208750059529307'
    - '9.087910543834248305861046634847370'
    prelabel: 4-2550e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 4.512410942658759
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1e2-0
    trace_hash: 1759520880225000630
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.52462297082912301204589856869'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '0.940197814882960083574972967081'
      prec: 107
    z3:
      __RealLiteral__: 0
      data: '2.05669617851703378174457535933'
      prec: 103
- - algebraic: true
    analytic_conductor: 414.6050378599809
    bad_primes:
    - 2
    - 3
    - 5
    - 17
    central_character: '1.1'
    conductor: 6502500
    conductor_radical: 510
    degree: 4
    dirichlet_coefficients:
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    - 0
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    - 0
    - 0
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    euler11:
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    - 88
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    euler13:
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    euler17:
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    euler19:
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    euler2:
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    euler23:
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    euler29:
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    - -580
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    euler3:
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    - 1
    - 0
    - 0
    euler31:
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    - 126
    - -496
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    euler37:
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    - -70
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    euler41:
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    euler43:
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    euler47:
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    euler5:
    - 1
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    euler53:
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    euler59:
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    - 262
    - 1416
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    euler61:
    - 1
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    - 222
    - 1220
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    euler67:
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    euler7:
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    euler71:
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    euler73:
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    euler79:
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    euler83:
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    euler89:
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    - -1068
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    euler97:
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    euler_factors:
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      - 0
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    - - 1
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    - - 1
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    - - 1
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    - - 1
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      - 1416
      - 3481
    - - 1
      - 20
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      - 1220
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    - - 1
      - 0
      - 10
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    - - 1
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      - 142
      - 0
      - 5041
    - - 1
      - 0
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    - - 1
      - -16
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      - -1264
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    - - 1
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    - - 1
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      - -1068
      - 7921
    - - 1
      - 0
      - 2
      - 0
      - 9409
    id: 23256676
    index: 22
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/2550/2/d/m
    is_instance_Artin: false
    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: 4-2550e2-1.1-c1e2-0-22
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    - 1
    order_of_vanishing: 0
    prelabel: 4-2550e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 4.512410942658759
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e2-0
    trace_hash: 1759520880225000630
    z1:
      __RealLiteral__: 0
      data: '0.52462297082912301204589856869'
      prec: 103
- - Lhash: 665038623865054670337543677758,1191842324369654064299110760025
    Lhash_array:
    - '665038623865054670337543677758'
    - '1191842324369654064299110760025'
    id: 23599354
    label: 4-2550e2-1.1-c1e2-0-22
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/2550/2/d/m
label_cols:
- label
- label
- label
labels:
- 4-2550e2-1.1-c1e2-0-22
- 4-2550e2-1.1-c1e2-0-22
- 4-2550e2-1.1-c1e2-0-22
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T16:02:32.365764'