Abelian variety isogeny class data - 3.13.ae_bn_adu

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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_cyclic	boolean
  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
  noncyclic_primes	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[]
  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': 1966, 'abvar_counts': [1966, 6924252, 11148377974, 23021116018416, 51057273162057886, 112442037699181688028, 247046981393594672108902, 542817121215674017303600896, 1192557637718642856969635927038, 2619993401902020059648194801726812], 'abvar_counts_str': '1966 6924252 11148377974 23021116018416 51057273162057886 112442037699181688028 247046981393594672108902 542817121215674017303600896 1192557637718642856969635927038 2619993401902020059648194801726812 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.337973395744718, 0.430047944728732, 0.548126718835677], 'center_dim': 6, 'curve_count': 10, 'curve_counts': [10, 232, 2308, 28220, 370360, 4826236, 62744062, 815755292, 10604715862, 137858373892], 'curve_counts_str': '10 232 2308 28220 370360 4826236 62744062 815755292 10604715862 137858373892 ', 'curves': ['y^2=x^8+11*x^7+7*x^6+3*x^5+7*x^4+6*x^3+9*x^2+3*x+7', 'y^2=2*x^8+4*x^7+12*x^6+2*x^5+4*x^4+x^3+2*x^2+x+6'], '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': ['6.0.31747253184.1'], 'geometric_splitting_field': '6.0.31747253184.1', 'geometric_splitting_polynomials': [[1966, -186, 422, -38, 34, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.13.ae_bn_adu', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['6.0.31747253184.1'], 'p': 13, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -4, 39, -98, 507, -676, 2197], 'poly_str': '1 -4 39 -98 507 -676 2197 ', 'primitive_models': [], 'q': 13, 'real_poly': [1, -4, 0, 6], 'simple_distinct': ['3.13.ae_bn_adu'], 'simple_factors': ['3.13.ae_bn_aduA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.31747253184.1', 'splitting_polynomials': [[1966, -186, 422, -38, 34, -2, 1]], 'twist_count': 2, 'twists': [['3.13.e_bn_du', '3.169.ck_cpj_bquq', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.13.ae_bn_adu', 'extension_degree': 1, 'extension_label': '3.13.ae_bn_adu', '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', '0', '0'], 'center': '6.0.31747253184.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.13.ae_bn_adu', 'galois_group': '6T11', 'places': [['5', '1', '0', '0', '0', '0'], ['2', '9', '1', '0', '0', '0'], ['545/169', '347/169', '1528/169', '219/169', '43/169', '22/169'], ['222/169', '1200/169', '201/169', '301/169', '2128/169', '4/169']]}