Abelian variety isogeny class data - 4.2.af_m_au_bd

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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': 1, 'abvar_counts': [1, 211, 1861, 88831, 1046771, 12172801, 344358281, 5598573775, 68193052891, 1095729526441], 'abvar_counts_str': '1 211 1861 88831 1046771 12172801 344358281 5598573775 68193052891 1095729526441 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 2, 'angle_rank': 2, 'angles': [0.0635622003030556, 0.165221137389402, 0.365221137389402, 0.663562200303056], 'center_dim': 8, 'cohen_macaulay_max': 1, 'curve_count': -2, 'curve_counts': [-2, 4, 4, 20, 33, 46, 159, 324, 508, 1019], 'curve_counts_str': '-2 4 4 20 33 46 159 324 508 1019 ', 'curves': [], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 1, 'dim4_factors': 1, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 1, 'g': 4, 'galois_groups': ['8T10'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 2, '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': 10, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.3625.1'], 'geometric_splitting_field': '4.0.3625.1', 'geometric_splitting_polynomials': [[11, -1, 6, -1, 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': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '4.2.af_m_au_bd', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 20, 'newton_coelevation': 6, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['8.0.13140625.1'], 'p': 2, 'p_rank': 4, 'p_rank_deficit': 0, 'pic_prime_gens': [], 'poly': [1, -5, 12, -20, 29, -40, 48, -40, 16], 'poly_str': '1 -5 12 -20 29 -40 48 -40 16 ', 'primitive_models': [], 'principal_polarization_count': 1, 'q': 2, 'real_poly': [1, -5, 4, 10, -11], 'simple_distinct': ['4.2.af_m_au_bd'], 'simple_factors': ['4.2.af_m_au_bdA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 1, 'slopes': ['0A', '0B', '0C', '0D', '1A', '1B', '1C', '1D'], 'splitting_field': '8.0.13140625.1', 'splitting_polynomials': [[1, 3, 5, 3, 4, -3, 5, -3, 1]], 'twist_count': 6, 'twists': [['4.2.f_m_u_bd', '4.4.ab_c_ai_z', 2], ['4.2.a_ad_a_j', '4.32.a_ad_a_bwv', 5], ['4.2.a_c_af_ab', '4.32.a_ad_a_bwv', 5], ['4.2.a_c_f_ab', '4.32.a_ad_a_bwv', 5], ['4.2.f_m_u_bd', '4.32.a_ad_a_bwv', 5], ['4.2.a_d_a_j', '4.1048576.hmo_bedrtj_czowjfcc_fjyfkiixcb', 20]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 1, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 25, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 2576121
    {'base_label': '4.2.af_m_au_bd', 'extension_degree': 1, 'extension_label': '4.2.af_m_au_bd', 'multiplicity': 1}
  • id: 2576122
    {'base_label': '4.2.af_m_au_bd', 'extension_degree': 2, 'extension_label': '4.4.ab_c_ai_z', 'multiplicity': 1}
  • id: 2576123
    {'base_label': '4.2.af_m_au_bd', 'extension_degree': 5, 'extension_label': '4.32.a_ad_a_bwv', 'multiplicity': 1}
  • id: 2576124
    {'base_label': '4.2.af_m_au_bd', 'extension_degree': 10, 'extension_label': '2.1024.ad_bwv', 'multiplicity': 2}
• 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': '8.0.13140625.1', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.2.af_m_au_bd', 'galois_group': '8T10', 'places': [['0', '3/2', '1/2', '0', '0', '0', '3/2', '3/2'], ['5/4', '1', '5/4', '0', '1', '1/4', '3/2', '7/4']]}
• 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': '8.0.13140625.1', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.4.ab_c_ai_z', 'galois_group': '8T10', 'places': [['0', '3/2', '1/2', '0', '0', '0', '3/2', '3/2'], ['5/4', '1', '5/4', '0', '1', '1/4', '3/2', '7/4']]}
• 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': '8.0.13140625.1', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.32.a_ad_a_bwv', 'galois_group': '8T10', 'places': [['0', '3/2', '1/2', '0', '0', '0', '3/2', '3/2'], ['5/4', '1', '5/4', '0', '1', '1/4', '3/2', '7/4']]}
• 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': '4.0.3625.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.1024.ad_bwv', 'galois_group': '4T3', 'places': [['5/4', '3/2', '0', '1/4'], ['1', '1', '0', '0']]}