Abelian variety isogeny class data - 3.3.ad_i_aq

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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': 14, 'abvar_counts': [14, 1484, 18494, 439264, 15630944, 425398988, 10910230534, 292952189824, 7673154626438, 203889033155584], 'abvar_counts_str': '14 1484 18494 439264 15630944 425398988 10910230534 292952189824 7673154626438 203889033155584 ', 'angle_rank': 3, 'angles': [0.144152045695155, 0.430919798031039, 0.57993537844207], 'center_dim': 6, 'curve_count': 1, 'curve_counts': [1, 17, 25, 65, 266, 797, 2283, 6801, 19807, 58472], 'curve_counts_str': '1 17 25 65 266 797 2283 6801 19807 58472 ', 'curves': ['y^2=2*x^8+2*x^4+2*x^3+x^2+x'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['6T11'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T11'], 'geometric_number_fields': ['6.0.15522536.1'], 'geometric_splitting_field': '6.0.15522536.1', 'geometric_splitting_polynomials': [[14, 4, 9, -6, 8, -3, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 1, 'label': '3.3.ad_i_aq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['6.0.15522536.1'], 'p': 3, 'p_rank': 3, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2]], 'poly': [1, -3, 8, -16, 24, -27, 27], 'poly_str': '1 -3 8 -16 24 -27 27 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 3, 'real_poly': [1, -3, -1, 2], 'simple_distinct': ['3.3.ad_i_aq'], 'simple_factors': ['3.3.ad_i_aqA'], 'simple_multiplicities': [1], 'size': 2, 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.15522536.1', 'splitting_polynomials': [[14, 4, 9, -6, 8, -3, 1]], 'twist_count': 2, 'twists': [['3.3.d_i_q', '3.9.h_q_u', 2]], 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 296}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.3.ad_i_aq', 'extension_degree': 1, 'extension_label': '3.3.ad_i_aq', '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': '6.0.15522536.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.3.ad_i_aq', 'galois_group': '6T11', 'places': [['8/3', '2', '0', '2', '2/3', '8/3'], ['4/3', '1', '0', '1', '7/3', '1/3']]}