Abelian variety isogeny class data - 5.2.ab_c_b_a_d

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• av_fq_isog •

  Column	Type
  abvar_count	numeric
  abvar_counts	numeric[]
  abvar_counts_str	text
  angle_rank	smallint
  angles	double precision[]
  center_dim	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
  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[]
  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
  jacobian_count	integer
  label	text
  max_divalg_dim	smallint
  max_geom_divalg_dim	smallint
  max_twist_degree	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[]
  size	integer
  slopes	text[]
  splitting_field	text
  splitting_polynomials	numeric[]
  twist_count	integer
  twists	jsonb
  zfv_index	numeric
  zfv_index_factorization	numeric[]
  zfv_is_bass	boolean
  zfv_is_maximal	boolean
  zfv_plus_index	numeric
  zfv_plus_index_factorization	numeric[]
  zfv_plus_norm	numeric

  
  {'abvar_count': 42, 'abvar_counts': [42, 2520, 80262, 1638000, 31522722, 881276760, 36383110638, 1872617292000, 34581751054578, 1054917348546600], 'abvar_counts_str': '42 2520 80262 1638000 31522722 881276760 36383110638 1872617292000 34581751054578 1054917348546600 ', 'angle_rank': 5, 'angles': [0.160761046162754, 0.352134945400772, 0.384973271918692, 0.624242320844011, 0.891697068324402], 'center_dim': 10, 'curve_count': 2, 'curve_counts': [2, 8, 17, 20, 32, 53, 135, 396, 503, 958], 'curve_counts_str': '2 8 17 20 32 53 135 396 503 958 ', 'curves': [''], 'dim1_distinct': 1, 'dim1_factors': 1, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 1, 'dim4_factors': 1, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 5, 'galois_groups': ['2T1', '8T44'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 1, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 1, 'geom_dim4_factors': 1, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 10, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '8T44'], 'geometric_number_fields': ['2.0.7.1', '8.0.797926018273.1'], 'geometric_splitting_polynomials': [[65536, 0, 0, -5120, 256, 1408, 128, 32, -528, 8, 8, 22, 1, -5, 0, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'jacobian_count': 0, 'label': '5.2.ab_c_b_a_d', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['2.0.7.1', '8.0.797926018273.1'], 'p': 2, 'p_rank': 5, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 4], [2, 3, 1, 24]], 'poly': [1, -1, 2, 1, 0, 3, 0, 4, 16, -16, 32], 'poly_str': '1 -1 2 1 0 3 0 4 16 -16 32 ', 'primitive_models': [], 'principal_polarization_count': 18, 'q': 2, 'real_poly': [1, -1, -8, 9, 8, -9], 'simple_distinct': ['1.2.ab', '4.2.a_a_b_b'], 'simple_factors': ['1.2.abA', '4.2.a_a_b_bA'], 'simple_multiplicities': [1, 1], 'size': 30, 'slopes': ['0A', '0B', '0C', '0D', '0E', '1A', '1B', '1C', '1D', '1E'], 'splitting_polynomials': [[65536, 0, 0, -5120, 256, 1408, 128, 32, -528, 8, 8, 22, 1, -5, 0, 0, 1]], 'twist_count': 4, 'twists': [['5.2.ab_c_ab_c_af', '5.4.d_g_f_bi_db', 2], ['5.2.b_c_ab_a_ad', '5.4.d_g_f_bi_db', 2], ['5.2.b_c_b_c_f', '5.4.d_g_f_bi_db', 2]], 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 511}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 2889359
    {'base_label': '5.2.ab_c_b_a_d', 'extension_degree': 1, 'extension_label': '1.2.ab', 'multiplicity': 1}
  • id: 2889360
    {'base_label': '5.2.ab_c_b_a_d', 'extension_degree': 1, 'extension_label': '4.2.a_a_b_b', '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': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.ab', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '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': '8.0.797926018273.1', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.2.a_a_b_b', 'galois_group': '8T44', 'places': [['1', '1', '0', '0', '1', '0', '0', '0'], ['0', '1', '3/2', '1/4', '3/4', '0', '0', '1/4']]}