Abelian variety isogeny class data - 3.2.af_o_ay

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• av_fq_isog •

  Column	Type
  abvar_count	numeric
  abvar_counts	numeric[]
  abvar_counts_str	text
  all_polarized_product	boolean
  all_unpolarized_product	boolean
  angle_corank	smallint
  angle_rank	smallint
  angles	double precision[]
  center_dim	smallint
  cohen_macaulay_max	smallint
  curve_count	integer
  curve_counts	numeric[]
  curve_counts_str	text
  curves	text[]
  dim1_distinct	smallint
  dim1_factors	smallint
  dim2_distinct	smallint
  dim2_factors	smallint
  dim3_distinct	smallint
  dim3_factors	smallint
  dim4_distinct	smallint
  dim4_factors	smallint
  dim5_distinct	smallint
  dim5_factors	smallint
  endomorphism_ring_count	smallint
  g	smallint
  galois_groups	text[]
  geom_dim1_distinct	smallint
  geom_dim1_factors	smallint
  geom_dim2_distinct	smallint
  geom_dim2_factors	smallint
  geom_dim3_distinct	smallint
  geom_dim3_factors	smallint
  geom_dim4_distinct	smallint
  geom_dim4_factors	smallint
  geom_dim5_distinct	smallint
  geom_dim5_factors	smallint
  geometric_center_dim	smallint
  geometric_extension_degree	smallint
  geometric_galois_groups	text[]
  geometric_number_fields	text[]
  geometric_splitting_field	text
  geometric_splitting_polynomials	numeric[]
  group_structure_count	smallint
  has_geom_ss_factor	boolean
  has_jacobian	smallint
  has_principal_polarization	smallint
  hyp_count	integer
  is_geometrically_simple	boolean
  is_geometrically_squarefree	boolean
  is_primitive	boolean
  is_simple	boolean
  is_squarefree	boolean
  is_supersingular	boolean
  jacobian_count	integer
  label	text
  max_divalg_dim	smallint
  max_geom_divalg_dim	smallint
  max_twist_degree	integer
  newton_coelevation	smallint
  newton_elevation	smallint
  number_fields	text[]
  p	smallint
  p_rank	smallint
  p_rank_deficit	smallint
  pic_prime_gens	integer[]
  poly	integer[]
  poly_str	text
  primitive_models	text[]
  principal_polarization_count	integer
  q	integer
  real_poly	integer[]
  simple_distinct	text[]
  simple_factors	text[]
  simple_multiplicities	smallint[]
  singular_primes	text[]
  size	integer
  slopes	text[]
  splitting_field	text
  splitting_polynomials	numeric[]
  twist_count	integer
  twists	jsonb
  weak_equivalence_count	smallint
  zfv_index	numeric
  zfv_index_factorization	numeric[]
  zfv_is_bass	boolean
  zfv_is_maximal	boolean
  zfv_pic_size	integer
  zfv_plus_index	numeric
  zfv_plus_index_factorization	numeric[]
  zfv_plus_norm	numeric
  zfv_singular_count	smallint
  zfv_singular_primes	text[]

  
  {'abvar_count': 2, 'abvar_counts': [2, 200, 2366, 10000, 36982, 236600, 1813198, 14580000, 119844998, 1017005000], 'abvar_counts_str': '2 200 2366 10000 36982 236600 1813198 14580000 119844998 1017005000 ', 'angle_corank': 2, 'angle_rank': 1, 'angles': [0.25, 0.25, 0.384973271918692], 'center_dim': 4, 'curve_count': -2, 'curve_counts': [-2, 8, 22, 32, 38, 56, 110, 224, 454, 968], 'curve_counts_str': '-2 8 22 32 38 56 110 224 454 968 ', 'curves': [], 'dim1_distinct': 2, 'dim1_factors': 3, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 3, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, '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': 3, 'geometric_extension_degree': 4, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 0, 'label': '3.2.af_o_ay', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'newton_coelevation': 2, 'newton_elevation': 2, 'number_fields': ['2.0.4.1', '2.0.7.1'], 'p': 2, 'p_rank': 1, 'p_rank_deficit': 2, 'poly': [1, -5, 14, -24, 28, -20, 8], 'poly_str': '1 -5 14 -24 28 -20 8 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, -5, 8, -4], 'simple_distinct': ['1.2.ac', '1.2.ab'], 'simple_factors': ['1.2.acA', '1.2.acB', '1.2.abA'], 'simple_multiplicities': [2, 1], 'slopes': ['0A', '1/2A', '1/2B', '1/2C', '1/2D', '1A'], 'splitting_field': '4.0.784.1', 'splitting_polynomials': [[4, 0, -3, 0, 1]], 'twist_count': 22, 'twists': [['3.2.ad_g_ai', '3.4.d_m_y', 2], ['3.2.ab_c_a', '3.4.d_m_y', 2], ['3.2.b_c_a', '3.4.d_m_y', 2], ['3.2.d_g_i', '3.4.d_m_y', 2], ['3.2.f_o_y', '3.4.d_m_y', 2], ['3.2.b_c_g', '3.8.n_dc_lc', 3], ['3.2.ad_g_ai', '3.16.p_ds_qa', 4], ['3.2.ab_c_a', '3.16.p_ds_qa', 4], ['3.2.b_c_a', '3.16.p_ds_qa', 4], ['3.2.d_g_i', '3.16.p_ds_qa', 4], ['3.2.f_o_y', '3.16.p_ds_qa', 4], ['3.2.ad_g_ak', '3.64.aj_hk_absi', 6], ['3.2.ab_c_ag', '3.64.aj_hk_absi', 6], ['3.2.d_g_k', '3.64.aj_hk_absi', 6], ['3.2.ad_i_am', '3.256.abh_ahk_vzc', 8], ['3.2.ab_ac_e', '3.256.abh_ahk_vzc', 8], ['3.2.ab_e_ae', '3.256.abh_ahk_vzc', 8], ['3.2.ab_g_ae', '3.256.abh_ahk_vzc', 8], ['3.2.b_ac_ae', '3.256.abh_ahk_vzc', 8], ['3.2.b_e_e', '3.256.abh_ahk_vzc', 8], ['3.2.b_g_e', '3.256.abh_ahk_vzc', 8], ['3.2.d_i_m', '3.256.abh_ahk_vzc', 8], ['3.2.ad_g_ak', '3.4096.lr_cifo_hdazo', 12], ['3.2.ab_c_ag', '3.4096.lr_cifo_hdazo', 12], ['3.2.b_c_g', '3.4096.lr_cifo_hdazo', 12], ['3.2.d_g_k', '3.4096.lr_cifo_hdazo', 12], ['3.2.ab_a_c', '3.16777216.apkb_bqmqmi_gnztlohk', 24], ['3.2.ab_e_ac', '3.16777216.apkb_bqmqmi_gnztlohk', 24], ['3.2.b_a_ac', '3.16777216.apkb_bqmqmi_gnztlohk', 24], ['3.2.b_e_c', '3.16777216.apkb_bqmqmi_gnztlohk', 24]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 1361591
    {'base_label': '3.2.af_o_ay', 'extension_degree': 1, 'extension_label': '1.2.ac', 'multiplicity': 2}
  • id: 1361592
    {'base_label': '3.2.af_o_ay', 'extension_degree': 1, 'extension_label': '1.2.ab', 'multiplicity': 1}
  • id: 1361593
    {'base_label': '3.2.af_o_ay', 'extension_degree': 2, 'extension_label': '1.4.a', 'multiplicity': 2}
  • id: 1361594
    {'base_label': '3.2.af_o_ay', 'extension_degree': 2, 'extension_label': '1.4.d', 'multiplicity': 1}
  • id: 1361595
    {'base_label': '3.2.af_o_ay', 'extension_degree': 4, 'extension_label': '1.16.ab', 'multiplicity': 1}
  • id: 1361596
    {'base_label': '3.2.af_o_ay', 'extension_degree': 4, 'extension_label': '1.16.i', 'multiplicity': 2}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.ac', 'galois_group': '2T1', 'places': [['1', '1']]}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.ab', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.a', 'galois_group': '2T1', 'places': [['1', '1']]}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.d', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.16.ab', 'galois_group': '2T1', 'places': [['0', '1'], ['1', '1']]}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.16.i', 'galois_group': '1T1', 'places': [['0']]}