Abelian variety isogeny class data - 3.11.a_bd_c

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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': 1682, 'abvar_counts': [1682, 2822396, 2369391350, 3052714803184, 4169704376890202, 5563832390434358300, 7403025510478672314158, 9850502899316450296432384, 13109271983565511774858993850, 17449161558450608874926020912796], 'abvar_counts_str': '1682 2822396 2369391350 3052714803184 4169704376890202 5563832390434358300 7403025510478672314158 9850502899316450296432384 13109271983565511774858993850 17449161558450608874926020912796 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.418735557017853, 0.474097353951761, 0.608338196709472], 'center_dim': 6, 'curve_count': 12, 'curve_counts': [12, 180, 1338, 14236, 160762, 1772808, 19494480, 214375644, 2357817792, 25937066800], 'curve_counts_str': '12 180 1338 14236 160762 1772808 19494480 214375644 2357817792 25937066800 ', 'curves': ['y^2=8*x^8+7*x^7+9*x^6+3*x^5+8*x^4+8*x^3+5*x^2+4*x+5', 'y^2=6*x^8+8*x^6+8*x^5+2*x^3+4*x^2+7*x+7'], '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': ['6.0.1541953984.1'], 'geometric_splitting_field': '6.0.1541953984.1', 'geometric_splitting_polynomials': [[1331, 0, 319, -2, 29, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.11.a_bd_c', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'number_fields': ['6.0.1541953984.1'], 'p': 11, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, 0, 29, 2, 319, 0, 1331], 'poly_str': '1 0 29 2 319 0 1331 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, 0, -4, 2], 'simple_distinct': ['3.11.a_bd_c'], 'simple_factors': ['3.11.a_bd_cA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.1541953984.1', 'splitting_polynomials': [[1331, 0, 319, -2, 29, 0, 1]], 'twist_count': 2, 'twists': [['3.11.a_bd_ac', '3.121.cg_cex_bfhw', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.11.a_bd_c', 'extension_degree': 1, 'extension_label': '3.11.a_bd_c', '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': '6.0.1541953984.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.11.a_bd_c', 'galois_group': '6T11', 'places': [['9', '0', '2/11', '103/11', '0', '120/11'], ['0', '0', '111/11', '90/11', '0', '5/11']]}