Abelian variety isogeny class data - 2.32.an_dj

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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': 683, 'abvar_counts': [683, 1052503, 1072055924, 1096974409259, 1125511333834393, 1152957445043143600, 1180608392198818517687, 1208927024876008710679859, 1237939953757620756269476796, 1267650647304948394031595917503], 'abvar_counts_str': '683 1052503 1072055924 1096974409259 1125511333834393 1152957445043143600 1180608392198818517687 1208927024876008710679859 1237939953757620756269476796 1267650647304948394031595917503 ', 'angle_rank': 2, 'angles': [0.0876507669828633, 0.440213650550511], 'center_dim': 4, 'curve_count': 20, 'curve_counts': [20, 1030, 32717, 1046154, 33542850, 1073775295, 34360226480, 1099512723954, 35184369657989, 1125899948655150], 'curve_counts_str': '20 1030 32717 1046154 33542850 1073775295 34360226480 1099512723954 35184369657989 1125899948655150 ', 'curves': ['y^2+(x^3+x+1)*y=(a^4+a)*x^5+(a^4+a)*x^4+(a^4+a^3+a^2)*x^3+(a^4+a^3+a^2)*x+a^3+a^2+a', 'y^2+(x^3+x+1)*y=(a^3+1)*x^5+(a^3+1)*x^4+(a^4+a^2+a+1)*x^3+(a^4+a^2+a+1)*x+a^4+a^3+a^2+a', 'y^2+(x^3+x+1)*y=(a^3+a+1)*x^5+(a^3+a+1)*x^4+(a^4+a^3)*x^3+(a^4+a^3)*x+a^4+a+1', 'y^2+(x^3+(a^4+a^3+a)*x+a^4+a^3+a)*y=x^6+(a^2+1)*x^5+(a^2+1)*x^4+x^3+(a+1)*x^2+a^3*x+a^4+a^2+a', 'y^2+(x^3+(a^4+a+1)*x+a^4+a+1)*y=x^6+(a^4+a^3+a)*x^5+(a^4+a^3+a)*x^4+(a^3+a)*x^3+a^3*x^2+(a^4+a^2+a)*x+a^3+1', 'y^2+(x^3+(a+1)*x+a+1)*y=x^6+x^5+x^4+(a^4+a^3+a^2)*x^3+(a^2+1)*x^2+(a^2+a+1)*x+1', 'y^2+(x^3+x+1)*y=(a^3+a^2+a+1)*x^5+(a^3+a^2+a+1)*x^4+(a^2+a+1)*x^3+(a^2+a+1)*x+a^3', 'y^2+(x^3+(a^4+1)*x+a^4+1)*y=x^6+(a^4+a^3+a)*x^5+(a^4+a^3+a)*x^4+x^3+(a^3+a^2)*x^2+(a^4+a^3+a^2+a)*x+a^4+a^2', 'y^2+(x^3+(a+1)*x+a+1)*y=x^6+(a^4+1)*x^5+(a^4+1)*x^4+x^3+(a^2+1)*x^2+(a^3+a)*x+a^4+a^3+1', 'y^2+(x^3+a^3*x+a^3)*y=x^6+(a+1)*x^5+(a+1)*x^4+(a^3+a^2+a)*x^3+(a^3+a)*x^2+(a^4+a^3+1)*x+a^3+a+1', 'y^2+(x^3+(a^2+1)*x+a^2+1)*y=x^6+x^5+x^4+(a^4+a^2+a+1)*x^3+(a^4+1)*x^2+(a^4+a^2+1)*x+1', 'y^2+(x^3+x+1)*y=(a^4+a^3+a^2+a+1)*x^5+(a^4+a^3+a^2+a+1)*x^4+(a^4+a^2+1)*x^3+(a^4+a^2+1)*x+a^3+a', 'y^2+(x^3+(a^3+a^2)*x+a^3+a^2)*y=x^6+(a+1)*x^5+(a+1)*x^4+x^3+(a^4+a^3+a)*x^2+(a^4+a+1)*x+a^4+a^3+a^2+1', 'y^2+(x^3+(a^4+a^3+a^2+a)*x+a^4+a^3+a^2+a)*y=x^6+(a^3+a^2)*x^5+(a^3+a^2)*x^4+a^3*x^3+(a^4+a+1)*x^2+(a^4+a^3+a^2+1)*x+a^4+a', 'y^2+(x^3+(a^4+a^3+a)*x+a^4+a^3+a)*y=x^6+x^5+x^4+(a^4+a^2+1)*x^3+(a+1)*x^2+(a^4+a^3)*x+1', 'y^2+(x^3+(a^2+1)*x+a^2+1)*y=x^6+(a^3+a^2)*x^5+(a^3+a^2)*x^4+x^3+(a^4+1)*x^2+(a^3+a^2+a)*x+a^2+a', 'y^2+(x^3+(a^3+a^2)*x+a^3+a^2)*y=x^6+x^5+x^4+(a^2+a+1)*x^3+(a^4+a^3+a)*x^2+(a^4+a^2+a+1)*x+1', 'y^2+(x^3+(a^3+a^2+a)*x+a^3+a^2+a)*y=x^6+(a^4+1)*x^5+(a^4+1)*x^4+(a^4+a+1)*x^3+(a^4+a^3+a^2+a)*x^2+(a^4+a^2)*x+a^4+a^3+a^2+a+1', 'y^2+(x^3+(a^4+1)*x+a^4+1)*y=x^6+x^5+x^4+(a^4+a^3)*x^3+(a^3+a^2)*x^2+(a^4+a^3+a^2)*x+1', 'y^2+(x^3+(a^3+a)*x+a^3+a)*y=x^6+(a^2+1)*x^5+(a^2+1)*x^4+(a^4+a^3+a^2+a)*x^3+(a^3+a^2+a)*x^2+(a^2+a)*x+a^3+a^2+a+1'], '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, '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': ['4.0.6931001.1'], 'geometric_splitting_field': '4.0.6931001.1', 'geometric_splitting_polynomials': [[289, -137, 24, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 20, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 20, 'label': '2.32.an_dj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.6931001.1'], 'p': 2, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 5], [1, 7, 1, 2], [1, 17, 1, 10]], 'poly': [1, -13, 87, -416, 1024], 'poly_str': '1 -13 87 -416 1024 ', 'primitive_models': [], 'principal_polarization_count': 20, 'q': 32, 'real_poly': [1, -13, 23], 'simple_distinct': ['2.32.an_dj'], 'simple_factors': ['2.32.an_djA'], 'simple_multiplicities': [1], 'size': 20, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.6931001.1', 'splitting_polynomials': [[289, -137, 24, -1, 1]], 'twist_count': 2, 'twists': [['2.32.n_dj', '2.1024.f_abud', 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': 1169}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.32.an_dj', 'extension_degree': 1, 'extension_label': '2.32.an_dj', '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': '4.0.6931001.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.32.an_dj', 'galois_group': '4T3', 'places': [['11/32', '9/8', '15/8', '1/32'], ['1', '1', '0', '0']]}