Abelian variety isogeny class data - 6.2.b_c_b_f_ab_a

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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': 163, 'abvar_counts': [163, 13855, 177181, 50778575, 520439603, 50889040915, 6430605536567, 405742395144375, 18606948071910559, 1220971436639646025], 'abvar_counts_str': '163 13855 177181 50778575 520439603 50889040915 6430605536567 405742395144375 18606948071910559 1220971436639646025 ', 'angle_corank': 0, 'angle_rank': 6, 'angles': [0.122288410051245, 0.352712914252087, 0.396487740570725, 0.673524735983525, 0.723527324953471, 0.843848571432412], 'center_dim': 12, 'curve_count': 4, 'curve_counts': [4, 8, 7, 32, 9, 47, 179, 352, 529, 1083], 'curve_counts_str': '4 8 7 32 9 47 179 352 529 1083 ', 'curves': [], 'dim1_distinct': 0, 'dim1_factors': 0, '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': 6, 'galois_groups': ['12T293'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, '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': 12, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['12T293'], 'geometric_number_fields': ['12.0.82246146636020436296.1'], 'geometric_splitting_field': '12.0.82246146636020436296.1', 'geometric_splitting_polynomials': [[64, -32, 32, -8, 20, 2, 0, 1, 5, -1, 2, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '6.2.b_c_b_f_ab_a', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 11, 'newton_elevation': 1, 'noncyclic_primes': [], 'number_fields': ['12.0.82246146636020436296.1'], 'p': 2, 'p_rank': 5, 'p_rank_deficit': 1, 'poly': [1, 1, 2, 1, 5, -1, 0, -2, 20, 8, 32, 32, 64], 'poly_str': '1 1 2 1 5 -1 0 -2 20 8 32 32 64 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, 1, -10, -9, 25, 13, -20], 'simple_distinct': ['6.2.b_c_b_f_ab_a'], 'simple_factors': ['6.2.b_c_b_f_ab_aA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '0D', '0E', '1/2A', '1/2B', '1A', '1B', '1C', '1D', '1E'], 'splitting_field': '12.0.82246146636020436296.1', 'splitting_polynomials': [[64, -32, 32, -8, 20, 2, 0, 1, 5, -1, 2, -1, 1]], 'twist_count': 2, 'twists': [['6.2.ab_c_ab_f_b_a', '6.4.d_m_v_ct_fb_oi', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '6.2.b_c_b_f_ab_a', 'extension_degree': 1, 'extension_label': '6.2.b_c_b_f_ab_a', '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'], 'center': '12.0.82246146636020436296.1', 'center_dim': 12, 'divalg_dim': 1, 'extension_label': '6.2.b_c_b_f_ab_a', 'galois_group': '12T293', 'places': [['1', '1', '3/2', '0', '3/8', '1/8', '3/16', '31/16', '23/16', '1/2', '29/16', '1/16'], ['1', '1', '1', '5/4', '9/8', '3/2', '9/16', '5/16', '23/16', '1/8', '31/16', '1/16'], ['0', '1', '0', '3/2', '3/4', '1/4', '1/4', '0', '7/4', '1/4', '0', '0']]}