data:
- - abvar_count: 51
    abvar_counts:
    - 51
    - 7701
    - 551259
    - 42886869
    - 3510481776
    - 283765531581
    - 22885818795051
    - 1852229019804549
    - 150076340564816619
    - 12157647140529874176
    abvar_counts_str: '51 7701 551259 42886869 3510481776 283765531581 22885818795051
      1852229019804549 150076340564816619 12157647140529874176 '
    angle_rank: 2
    angles:
    - 0.205601850040011
    - 0.488925242199473
    center_dim: 4
    curve_count: 5
    curve_counts:
    - 5
    - 95
    - 755
    - 6539
    - 59450
    - 533951
    - 4784855
    - 43028339
    - 387373265
    - 3486779150
    curve_counts_str: '5 95 755 6539 59450 533951 4784855 43028339 387373265 3486779150 '
    curves:
    - y^2=(2*a+1)*x^6+(a+1)*x^5+x^3+(2*a+1)*x^2+2*x+2*a
    - y^2=(2*a+1)*x^6+2*a*x^5+(2*a+2)*x^4+x^3+x^2+2*a+2
    - y^2=(a+1)*x^6+2*x^4+2*x^3+(a+1)*x^2+2*x+a
    - y^2=a*x^6+(2*a+2)*x^5+(a+2)*x^4+x^3+2*x+a
    dim1_distinct: 0
    dim1_factors: 0
    dim2_distinct: 1
    dim2_factors: 1
    dim3_distinct: 0
    dim3_factors: 0
    dim4_distinct: 0
    dim4_factors: 0
    dim5_distinct: 0
    dim5_factors: 0
    g: 2
    galois_groups:
    - 4T3
    geom_dim1_distinct: 0
    geom_dim1_factors: 0
    geom_dim2_distinct: 1
    geom_dim2_factors: 1
    geom_dim3_distinct: 0
    geom_dim3_factors: 0
    geom_dim4_distinct: 0
    geom_dim4_factors: 0
    geom_dim5_distinct: 0
    geom_dim5_factors: 0
    geometric_center_dim: 4
    geometric_extension_degree: 1
    geometric_galois_groups:
    - 4T3
    geometric_number_fields:
    - 4.0.206829.1
    geometric_splitting_field: 4.0.206829.1
    geometric_splitting_polynomials:
    - - 51
      - -18
      - 10
      - -1
      - 1
    has_geom_ss_factor: false
    has_jacobian: 1
    has_principal_polarization: 1
    hyp_count: 4
    id: 6910
    is_geometrically_simple: true
    is_geometrically_squarefree: true
    is_primitive: true
    is_simple: true
    is_squarefree: true
    jacobian_count: 4
    label: 2.9.af_t
    max_divalg_dim: 1
    max_geom_divalg_dim: 1
    max_twist_degree: 2
    number_fields:
    - 4.0.206829.1
    p: 3
    p_rank: 2
    p_rank_deficit: 0
    pic_prime_gens:
    - - 1
      - 3
      - 1
      - 4
    poly:
    - 1
    - -5
    - 19
    - -45
    - 81
    poly_str: '1 -5 19 -45 81 '
    primitive_models: []
    principal_polarization_count: 4
    q: 9
    real_poly:
    - 1
    - -5
    - 1
    simple_distinct:
    - 2.9.af_t
    simple_factors:
    - 2.9.af_tA
    simple_multiplicities:
    - 1
    size: 4
    slopes:
    - 0A
    - 0B
    - 1A
    - 1B
    splitting_field: 4.0.206829.1
    splitting_polynomials:
    - - 51
      - -18
      - 10
      - -1
      - 1
    twist_count: 2
    twists:
    - - 2.9.f_t
      - 2.81.n_cv
      - 2
    zfv_index: 1
    zfv_index_factorization: []
    zfv_is_bass: true
    zfv_is_maximal: true
    zfv_plus_index: 1
    zfv_plus_index_factorization: []
    zfv_plus_norm: 469
- - base_label: 2.9.af_t
    extension_degree: 1
    extension_label: 2.9.af_t
    id: 8044
    multiplicity: 1
- - brauer_invariants:
    - '0'
    - '0'
    center: 4.0.206829.1
    center_dim: 4
    divalg_dim: 1
    extension_label: 2.9.af_t
    galois_group: 4T3
    id: 6820
    places:
    - - '0'
      - '1'
      - '0'
      - '0'
    - - 8/3
      - 1/3
      - 22/9
      - 25/9
  - brauer_invariants:
    - '0'
    - '0'
    center: 4.0.206829.1
    center_dim: 4
    divalg_dim: 1
    extension_label: 2.9.af_t
    galois_group: 4T3
    id: 1262807
    places:
    - - '0'
      - '1'
      - '0'
      - '0'
    - - 7/3
      - 5/3
      - 2/9
      - 26/9
  - brauer_invariants:
    - '0'
    - '0'
    center: 4.0.206829.1
    center_dim: 4
    divalg_dim: 1
    extension_label: 2.9.af_t
    galois_group: 4T3
    id: 2207724
    places:
    - - '0'
      - '1'
      - '0'
      - '0'
    - - 5/3
      - 1/3
      - 7/9
      - 1/9
  - brauer_invariants:
    - '0'
    - '0'
    center: 4.0.206829.1
    center_dim: 4
    divalg_dim: 1
    extension_label: 2.9.af_t
    galois_group: 4T3
    id: 2561066
    places:
    - - '0'
      - '1'
      - '0'
      - '0'
    - - 4/3
      - 2/3
      - 5/9
      - 2/9
  - brauer_invariants:
    - '0'
    - '0'
    center: 4.0.206829.1
    center_dim: 4
    divalg_dim: 1
    extension_label: 2.9.af_t
    galois_group: 4T3
    id: 2561173
    places:
    - - '0'
      - '1'
      - '0'
      - '0'
    - - 2/3
      - 4/3
      - 25/9
      - 1/9
label_cols:
- label
- base_label
- extension_label
labels:
- 2.9.af_t
- 2.9.af_t
- 2.9.af_t
tables:
- av_fq_isog
- av_fq_endalg_factors
- av_fq_endalg_data
timestamp: '2024-05-18T17:28:00.783704'