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    - '2.32802530422637219936668147700148'
    - '2.85744984246124962714683867955820'
    - '3.13231266049494287666858825674286'
    - '3.96150018981954052938822647873831'
    - '4.30052410883299608639780508916414'
    - '4.68256906960174965616361121884541'
    - '5.53216175885071598134879869818462'
    - '5.62177203256154037941756271806186'
    - '5.62804488175347957839789838601944'
    - '6.51730782226577339672886193518652'
    - '6.54422947909739461180924384448945'
    - '6.93046491031248673035674699290414'
    - '7.57928460845954272202522472185351'
    - '7.979024601144416548478720392696396'
    - '8.247950402571882068434279879201635'
    - '8.628418519873205653505689124770595'
    - '9.113230658535619010469194486065739'
    prelabel: 4-2736e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 4.67408493643647
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1e2-0
    trace_hash: 1242657380285942124
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.66004913437722848509469054681'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.36328994955260503026483027157'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '1.83543257837750060927044170708'
      prec: 103
- - algebraic: true
    analytic_conductor: 477.2944672800165
    bad_primes:
    - 2
    - 3
    - 19
    central_character: '1.1'
    conductor: 7485696
    conductor_radical: 114
    degree: 4
    dirichlet_coefficients:
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    - 0
    - 0
    - 4
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    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
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    - -16
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    - 0
    - 0
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    - 0
    - -8
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    - 0
    euler11:
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    - 0
    - -20
    - 0
    - 121
    euler13:
    - 1
    - 0
    - -18
    - 0
    - 169
    euler17:
    - 1
    - -4
    - 38
    - -68
    - 289
    euler19:
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    - 2
    - 19
    - 0
    - 0
    euler2:
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    - 0
    - 0
    - 0
    euler23:
    - 1
    - 0
    - -44
    - 0
    - 529
    euler29:
    - 1
    - 0
    - -8
    - 0
    - 841
    euler3:
    - 1
    - 0
    - 0
    - 0
    - 0
    euler31:
    - 1
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    - 98
    - -372
    - 961
    euler37:
    - 1
    - 0
    - 54
    - 0
    - 1369
    euler41:
    - 1
    - 0
    - -64
    - 0
    - 1681
    euler43:
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    euler47:
    - 1
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    - -44
    - 0
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    euler5:
    - 1
    - -4
    - 14
    - -20
    - 25
    euler53:
    - 1
    - 0
    - -8
    - 0
    - 2809
    euler59:
    - 1
    - -16
    - 182
    - -944
    - 3481
    euler61:
    - 1
    - 16
    - 186
    - 976
    - 3721
    euler67:
    - 1
    - 4
    - 138
    - 268
    - 4489
    euler7:
    - 1
    - 0
    - -6
    - 0
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    euler71:
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    - 206
    - -1136
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    euler73:
    - 1
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    - 146
    - 0
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    euler79:
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    - 222
    - 1264
    - 6241
    euler83:
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    - -4
    - 0
    - 6889
    euler89:
    - 1
    - 0
    - -80
    - 0
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    euler97:
    - 1
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    - -186
    - 0
    - 9409
    euler_factors:
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      - 0
      - 0
      - 0
    - - 1
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      - 0
      - 0
      - 0
    - - 1
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    - - 1
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    - - 1
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    - - 1
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    - - 1
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    - - 1
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    - - 1
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    - - 1
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    - - 1
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    - - 1
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    - - 1
      - -16
      - 182
      - -944
      - 3481
    - - 1
      - 16
      - 186
      - 976
      - 3721
    - - 1
      - 4
      - 138
      - 268
      - 4489
    - - 1
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      - -1136
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    - - 1
      - 0
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      - 5329
    - - 1
      - 16
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      - 1264
      - 6241
    - - 1
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      - 6889
    - - 1
      - 0
      - -80
      - 0
      - 7921
    - - 1
      - 0
      - -186
      - 0
      - 9409
    id: 23260109
    index: 31
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/2736/2/k/h
    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: 4-2736e2-1.1-c1e2-0-31
    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: 4-2736e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 4.67408493643647
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e2-0
    trace_hash: 1242657380285942124
    z1:
      __RealLiteral__: 0
      data: '0.66004913437722848509469054681'
      prec: 103
- - Lhash: 836711681373416934364707414419,1728175322835472347431092004506
    Lhash_array:
    - '836711681373416934364707414419'
    - '1728175322835472347431092004506'
    id: 23579914
    label: 4-2736e2-1.1-c1e2-0-31
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/2736/2/k/h
label_cols:
- label
- label
- label
labels:
- 4-2736e2-1.1-c1e2-0-31
- 4-2736e2-1.1-c1e2-0-31
- 4-2736e2-1.1-c1e2-0-31
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-16T20:15:22.598305'