Abelian variety isogeny class data - 2.43.av_ho

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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': 1122, 'abvar_counts': [1122, 3332340, 6351601608, 11708643117600, 21618240966561822, 39961060612417644480, 73885475977867364090478, 136613970741854388903120000, 252599300859512656322227936872, 467056157643378703137157336451700], 'abvar_counts_str': '1122 3332340 6351601608 11708643117600 21618240966561822 39961060612417644480 73885475977867364090478 136613970741854388903120000 252599300859512656322227936872 467056157643378703137157336451700 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.183291501244178, 0.223975234504292], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 23, 'curve_counts': [23, 1801, 79886, 3424777, 147054413, 6321589234, 271819047551, 11688195573073, 502592546846378, 21611481844365961], 'curve_counts_str': '23 1801 79886 3424777 147054413 6321589234 271819047551 11688195573073 502592546846378 21611481844365961 ', 'curves': [], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 2, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.51.1', '2.0.8.1'], 'geometric_splitting_field': '4.0.166464.4', 'geometric_splitting_polynomials': [[123, -30, 31, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '2.43.av_ho', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.51.1', '2.0.8.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -21, 196, -903, 1849], 'poly_str': '1 -21 196 -903 1849 ', 'primitive_models': [], 'q': 43, 'real_poly': [1, -21, 110], 'simple_distinct': ['1.43.al', '1.43.ak'], 'simple_factors': ['1.43.alA', '1.43.akA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,-3*F-2*V+22'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.166464.4', 'splitting_polynomials': [[123, -30, 31, -2, 1]], 'twist_count': 4, 'twists': [['2.43.ab_ay', '2.1849.abx_gfc', 2], ['2.43.b_ay', '2.1849.abx_gfc', 2], ['2.43.v_ho', '2.1849.abx_gfc', 2]], 'weak_equivalence_count': 2, 'zfv_index': 3, 'zfv_index_factorization': [[3, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3672, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,-3*F-2*V+22']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 33733
    {'base_label': '2.43.av_ho', 'extension_degree': 1, 'extension_label': '1.43.al', 'multiplicity': 1}
  • id: 33734
    {'base_label': '2.43.av_ho', 'extension_degree': 1, 'extension_label': '1.43.ak', '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': '2.0.51.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.al', 'galois_group': '2T1', 'places': [['37', '1'], ['5', '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': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.ak', 'galois_group': '2T1', 'places': [['27', '1'], ['16', '1']]}