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    - 0.10578163280704549
    - -0.13226628245468555
    - -0.3328435403739111
    - -0.4812132139676822
    - -0.5666248177374517
    - -0.5830441488176415
    - -0.529596832994695
    - -0.4106951417360262
    - -0.23583608290295358
    - -0.019078180453380385
    - 0.22177637683563575
    - 0.46624955479253116
    - 0.6924449755808957
    - 0.878422510278427
    - 1.0036091616608387
    - 1.0501618752961255
    - 1.0041992912245412
    - 0.8568257598501631
    - 0.6048819049548156
    - 0.2513710554759139
    positive_zeros:
    - '1.13427335416320033793982701030438'
    - '1.40368417998221175936412523970203'
    - '2.48051555499139164784558997794940'
    - '3.52457512648519812066820835945634'
    - '4.65547124043865694774953665370566'
    - '5.11974616894949560201035827226708'
    - '5.78778287753331476678201157190062'
    - '6.39281806537192007021453864786261'
    - '6.74244908874708467760984571228275'
    - '7.78733981410010232199658949484609'
    prelabel: 2-8048-1.1-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 8.016458291959516
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.13427335416320033793982701030'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.40368417998221175936412523970'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.48051555499139164784558997795'
      prec: 103
- - algebraic: true
    analytic_conductor: 64.26360354672649
    bad_primes:
    - 2
    - 503
    central_character: '1.1'
    conductor: 8048
    conductor_radical: 1006
    degree: 2
    id: 21910646
    index: 158
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/8048/2/a/w/1/7
    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: 2-8048-1.1-c1-0-158
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    order_of_vanishing: 0
    prelabel: 2-8048-1.1-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 8.016458291959516
    root_angle: 0.0
    self_dual: true
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '1.13427335416320033793982701030'
      prec: 103
- - Lhash: '1437862298227867935063949753665'
    Lhash_array:
    - '1437862298227867935063949753665'
    id: 22278013
    label: 2-8048-1.1-c1-0-158
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/8048/2/a/w/1/7
label_cols:
- label
- label
- label
labels:
- 2-8048-1.1-c1-0-158
- 2-8048-1.1-c1-0-158
- 2-8048-1.1-c1-0-158
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-17T16:38:43.611448'