data:
- - abvar_count: 433
    abvar_counts:
    - 433
    - 526961
    - 389623792
    - 282304073881
    - 205804575250433
    - 150088763834792192
    - 109420970706011081753
    - 79767003572825684409513
    - 58149801494518770720139504
    - 42391160853828414638317902641
    abvar_counts_str: '433 526961 389623792 282304073881 205804575250433 150088763834792192
      109420970706011081753 79767003572825684409513 58149801494518770720139504 42391160853828414638317902641 '
    angle_rank: 2
    angles:
    - 0.105338029469113
    - 0.368520329432634
    center_dim: 4
    curve_count: 14
    curve_counts:
    - 14
    - 724
    - 19796
    - 531204
    - 14342874
    - 387405334
    - 10460542638
    - 282431521028
    - 7625605942220
    - 205891144618804
    curve_counts_str: '14 724 19796 531204 14342874 387405334 10460542638 282431521028
      7625605942220 205891144618804 '
    curves:
    - y^2=(a^2+a+2)*x^6+x^5+(2*a^2+2*a+2)*x^4+2*a^2*x^3+2*x^2+(a^2+2)*x+2*a^2+a
    - y^2=(2*a^2+1)*x^6+(a^2+2*a)*x^5+2*x^4+x^3+(a^2+2)*x^2+(2*a^2+2*a+2)*x+2*a^2+2*a
    - y^2=(a^2+2*a+2)*x^6+(a+1)*x^5+(2*a^2+2*a)*x^4+(2*a^2+2*a+2)*x^2+x+a^2+2*a+2
    - y^2=(a+2)*x^6+(a^2+a+1)*x^5+(2*a+2)*x^4+(a^2+a+2)*x^3+2*a*x^2+2*a^2*x+2*a
    - y^2=(2*a^2+a)*x^6+(a^2+a+1)*x^5+a*x^4+2*a*x^3+(a^2+2*a+2)*x^2+(2*a^2+2)*x+2*a^2
    - y^2=(2*a+1)*x^6+a^2*x^5+(2*a+1)*x^4+(a+1)*x^3+(a^2+2*a)*x^2+(a+2)*x+2*a^2+1
    - y^2=(2*a^2+2*a)*x^6+(2*a+2)*x^5+(2*a^2+a+1)*x^4+(a+1)*x^3+(2*a^2+2)*x^2+(2*a^2+a+1)*x+a^2+1
    - y^2=(2*a+1)*x^6+(2*a^2+2)*x^5+(2*a^2+2*a+1)*x^4+(2*a+2)*x^3+(2*a^2+2*a+1)*x^2+a*x+a+1
    - y^2=(a^2+2*a)*x^6+(a^2+2)*x^5+(a^2+a+1)*x^4+(a^2+a)*x^3+2*a^2*x^2+(2*a^2+2)*x+a+2
    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:
    - 4.0.66112.2
    geometric_splitting_field: 4.0.66112.2
    geometric_splitting_polynomials:
    - - 71
      - -2
      - 21
      - -2
      - 1
    has_geom_ss_factor: false
    has_jacobian: 1
    has_principal_polarization: 1
    hyp_count: 9
    id: 12680
    is_geometrically_simple: true
    is_geometrically_squarefree: true
    is_primitive: true
    is_simple: true
    is_squarefree: true
    jacobian_count: 9
    label: 2.27.ao_dr
    max_divalg_dim: 1
    max_geom_divalg_dim: 1
    max_twist_degree: 2
    number_fields:
    - 4.0.66112.2
    p: 3
    p_rank: 2
    p_rank_deficit: 0
    pic_prime_gens:
    - - 1
      - 3
      - 1
      - 3
    - - 1
      - 23
      - 1
      - 6
    poly:
    - 1
    - -14
    - 95
    - -378
    - 729
    poly_str: '1 -14 95 -378 729 '
    primitive_models: []
    principal_polarization_count: 9
    q: 27
    real_poly:
    - 1
    - -14
    - 41
    simple_distinct:
    - 2.27.ao_dr
    simple_factors:
    - 2.27.ao_drA
    simple_multiplicities:
    - 1
    size: 9
    slopes:
    - 0A
    - 0B
    - 1A
    - 1B
    splitting_field: 4.0.66112.2
    splitting_polynomials:
    - - 71
      - -2
      - 21
      - -2
      - 1
    twist_count: 2
    twists:
    - - 2.27.o_dr
      - 2.729.ag_adx
      - 2
    zfv_index: 4
    zfv_index_factorization:
    - - 2
      - 2
    zfv_is_bass: true
    zfv_is_maximal: false
    zfv_plus_index: 2
    zfv_plus_index_factorization:
    - - 2
      - 1
    zfv_plus_norm: 1033
- - base_label: 2.27.ao_dr
    extension_degree: 1
    extension_label: 2.27.ao_dr
    id: 17031
    multiplicity: 1
- - brauer_invariants:
    - '0'
    - '0'
    center: 4.0.66112.2
    center_dim: 4
    divalg_dim: 1
    extension_label: 2.27.ao_dr
    galois_group: 4T3
    id: 11853
    places:
    - - '2'
      - '2'
      - '0'
      - '2'
    - - '0'
      - '2'
      - '0'
      - '2'
label_cols:
- label
- base_label
- extension_label
labels:
- 2.27.ao_dr
- 2.27.ao_dr
- 2.27.ao_dr
tables:
- av_fq_isog
- av_fq_endalg_factors
- av_fq_endalg_data
timestamp: '2024-05-20T14:45:15.144813'