Abelian variety isogeny class data - 2.13.ah_bb

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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': 99, 'abvar_counts': [99, 29205, 4723191, 803283525, 137817648144, 23325927456645, 3938111380279791, 665408712724467525, 112457099369691216459, 19005166413893781792000], 'abvar_counts_str': '99 29205 4723191 803283525 137817648144 23325927456645 3938111380279791 665408712724467525 112457099369691216459 19005166413893781792000 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.100578918487905, 0.493559382188599], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 7, 'curve_counts': [7, 175, 2149, 28123, 371182, 4832575, 62760229, 815721043, 10604658967, 137859961750], 'curve_counts_str': '7 175 2149 28123 371182 4832575 62760229 815721043 10604658967 137859961750 ', 'curves': ['y^2=7*x^6+9*x^5+9*x^4+12*x^3+x^2+8*x+7', 'y^2=9*x^6+11*x^5+6*x^4+10*x^3+7*x^2+11*x+8', 'y^2=2*x^6+4*x^5+3*x^4+11*x^3+6*x^2+9*x+2', 'y^2=11*x^6+4*x^4+10*x^3+x^2+11*x+5', 'y^2=2*x^5+9*x^4+11*x^3+9*x+2', 'y^2=x^6+9*x^5+10*x^4+x^3+3*x^2+2*x+5', 'y^2=5*x^6+9*x^5+x^4+12*x^3+4*x^2+7*x', 'y^2=7*x^6+6*x^5+10*x^4+11*x^3+6*x^2+7*x+8'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 3, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.6525.1'], 'geometric_splitting_field': '4.0.6525.1', 'geometric_splitting_polynomials': [[19, -2, 8, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.13.ah_bb', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.6525.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -7, 27, -91, 169], 'poly_str': '1 -7 27 -91 169 ', 'primitive_models': [], 'q': 13, 'real_poly': [1, -7, 1], 'simple_distinct': ['2.13.ah_bb'], 'simple_factors': ['2.13.ah_bbA'], 'simple_multiplicities': [1], 'singular_primes': ['3,-F^2-4*F-2*V+16'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.6525.1', 'splitting_polynomials': [[19, -2, 8, -1, 1]], 'twist_count': 2, 'twists': [['2.13.h_bb', '2.169.f_ahz', 2]], 'weak_equivalence_count': 3, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 3, 'zfv_plus_index_factorization': [[3, 1]], 'zfv_plus_norm': 261, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,-F^2-4*F-2*V+16']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.13.ah_bb', 'extension_degree': 1, 'extension_label': '2.13.ah_bb', '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': '4.0.6525.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.13.ah_bb', 'galois_group': '4T3', 'places': [['4', '12', '0', '11'], ['10', '1', '0', '3']]}