Abelian variety isogeny class data - 3.8.ai_x_abv

Formats: - HTML - YAML - JSON - 2024-05-22T08:08:40.761934

• av_fq_isog •

  Column	Type
  abvar_count	numeric
  abvar_counts	numeric[]
  abvar_counts_str	text
  angle_rank	smallint
  angles	double precision[]
  center_dim	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
  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[]
  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
  jacobian_count	integer
  label	text
  max_divalg_dim	smallint
  max_geom_divalg_dim	smallint
  max_twist_degree	integer
  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[]
  size	integer
  slopes	text[]
  splitting_field	text
  splitting_polynomials	numeric[]
  twist_count	integer
  twists	jsonb
  zfv_index	numeric
  zfv_index_factorization	numeric[]
  zfv_is_bass	boolean
  zfv_is_maximal	boolean
  zfv_plus_index	numeric
  zfv_plus_index_factorization	numeric[]
  zfv_plus_norm	numeric

  
  {'abvar_count': 153, 'abvar_counts': [153, 196911, 110033775, 68176298619, 35311796037243, 17963526856242825, 9237667049288704872, 4725823802520178550907, 2417878503228911160322575, 1238050503775048985461546821], 'abvar_counts_str': '153 196911 110033775 68176298619 35311796037243 17963526856242825 9237667049288704872 4725823802520178550907 2417878503228911160322575 1238050503775048985461546821 ', 'angle_rank': 3, 'angles': [0.0601780301132407, 0.124308289560546, 0.663981835019165], 'center_dim': 6, 'curve_count': 1, 'curve_counts': [1, 47, 412, 4063, 32886, 261404, 2100400, 16789495, 134219221, 1073837632], 'curve_counts_str': '1 47 412 4063 32886 261404 2100400 16789495 134219221 1073837632 ', 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['6T11'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T11'], 'geometric_number_fields': ['6.0.28413583.1'], 'geometric_splitting_field': '6.0.28413583.1', 'geometric_splitting_polynomials': [[27, -16, -3, -4, 6, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 0, 'has_principal_polarization': 1, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'label': '3.8.ai_x_abv', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['6.0.28413583.1'], 'p': 2, 'p_rank': 3, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 3]], 'poly': [1, -8, 23, -47, 184, -512, 512], 'poly_str': '1 -8 23 -47 184 -512 512 ', 'primitive_models': [], 'principal_polarization_count': 3, 'q': 8, 'real_poly': [1, -8, -1, 81], 'simple_distinct': ['3.8.ai_x_abv'], 'simple_factors': ['3.8.ai_x_abvA'], 'simple_multiplicities': [1], 'size': 3, 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.28413583.1', 'splitting_polynomials': [[27, -16, -3, -4, 6, 0, 1]], 'twist_count': 2, 'twists': [['3.8.i_x_bv', '3.64.as_fp_abjd', 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': 127}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.8.ai_x_abv', 'extension_degree': 1, 'extension_label': '3.8.ai_x_abv', 'multiplicity': 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': '6.0.28413583.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.8.ai_x_abv', 'galois_group': '6T11', 'places': [['3/2', '1/2', '1', '3/2', '0', '1'], ['1/2', '1/2', '1', '3/2', '0', '1']]}