Abelian variety isogeny class data - 3.17.ak_cx_ank

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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': 3016, 'abvar_counts': [3016, 28688192, 123689420296, 582130693820416, 2861514390185333896, 14068483686047607073088, 69097496063817405989706824, 339444665969769362901999812608, 1667701247273370643070461889092552, 8193456511591828911918102426423616832], 'abvar_counts_str': '3016 28688192 123689420296 582130693820416 2861514390185333896 14068483686047607073088 69097496063817405989706824 339444665969769362901999812608 1667701247273370643070461889092552 8193456511591828911918102426423616832 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.211370792004343, 0.376910050984192, 0.484703411807928], 'center_dim': 6, 'curve_count': 8, 'curve_counts': [8, 340, 5120, 83452, 1419408, 24146836, 410371704, 6975675132, 118587160088, 2015991633300], 'curve_counts_str': '8 340 5120 83452 1419408 24146836 410371704 6975675132 118587160088 2015991633300 ', 'curves': ['y^2=x^7+14*x^6+9*x^4+12*x^3+3*x+6', 'y^2=3*x^8+4*x^7+7*x^6+5*x^5+6*x^3+12*x^2+8*x+1', 'y^2=3*x^8+6*x^7+4*x^6+5*x^5+4*x^4+x^3+10*x^2+8*x', 'y^2=3*x^8+2*x^7+4*x^6+6*x^5+x^4+10*x^3+3*x^2+16*x+3', 'y^2=x^7+13*x^6+11*x^5+13*x^4+16*x^3+x^2+10*x+14', 'y^2=3*x^8+x^7+15*x^6+4*x^5+2*x^4+11*x^3+6*x^2+15*x+15', 'y^2=3*x^8+9*x^7+16*x^6+13*x^5+8*x^4+2*x^3+x^2+10*x+6', 'y^2=x^8+12*x^7+2*x^6+13*x^5+16*x^4+14*x^3+7*x^2+16*x+7', 'y^2=3*x^8+13*x^7+14*x^6+10*x^5+5*x^4+9*x^3+2*x^2+5', 'y^2=3*x^8+10*x^7+13*x^6+x^5+5*x^4+9*x^3+8*x^2+5*x+2', 'y^2=3*x^8+13*x^6+5*x^5+10*x^4+15*x^3+14*x^2+15*x+5', 'y^2=x^8+9*x^7+4*x^6+16*x^5+x^3+3*x^2+9*x+5', 'y^2=3*x^8+7*x^7+15*x^6+10*x^5+4*x^4+16*x^2+13*x+6', 'y^2=3*x^8+8*x^7+15*x^6+8*x^5+2*x^4+8*x^3+x^2+15*x+11', 'y^2=3*x^8+13*x^7+4*x^6+13*x^5+5*x^4+5*x^3+x^2+14', 'y^2=3*x^8+4*x^7+10*x^6+4*x^5+10*x^4+6*x^3+13*x^2+5*x+3', 'y^2=3*x^8+5*x^7+5*x^4+5*x^3+3*x^2+12*x+6', 'y^2=3*x^8+8*x^7+2*x^6+16*x^5+13*x^4+15*x^3+7*x^2+x+10', 'y^2=3*x^8+10*x^7+15*x^6+6*x^5+11*x^4+3*x^3+13*x^2+6*x+7', 'y^2=x^8+12*x^7+9*x^6+7*x^5+9*x^4+7*x^3+7*x^2+3*x+14', 'y^2=3*x^8+15*x^7+13*x^6+11*x^5+16*x^4+8*x^3+8*x+5', 'y^2=3*x^8+14*x^7+7*x^6+2*x^5+10*x^4+10*x^2+11*x+5', 'y^2=3*x^8+5*x^7+12*x^6+15*x^4+14*x^3+3*x^2+5*x+14', 'y^2=x^8+7*x^6+14*x^5+14*x^4+15*x^3+6*x^2+13*x+7', 'y^2=3*x^8+16*x^7+14*x^6+14*x^5+12*x^4+5*x^3+7*x^2+15*x+9', 'y^2=3*x^8+14*x^7+3*x^6+9*x^5+4*x^4+9*x^3+14*x+7', 'y^2=3*x^8+9*x^7+6*x^6+x^5+4*x^4+3*x^3+6*x^2+8*x+5', 'y^2=3*x^8+15*x^7+14*x^6+10*x^5+12*x^4+12*x^3+12*x^2+14'], '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': ['6T6'], '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': ['6T6'], 'geometric_number_fields': ['6.0.245401408.1'], 'geometric_splitting_field': '6.0.245401408.1', 'geometric_splitting_polynomials': [[1597, 0, 451, 0, 38, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 28, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.17.ak_cx_ank', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['6.0.245401408.1'], 'p': 17, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -10, 75, -348, 1275, -2890, 4913], 'poly_str': '1 -10 75 -348 1275 -2890 4913 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, -10, 24, -8], 'simple_distinct': ['3.17.ak_cx_ank'], 'simple_factors': ['3.17.ak_cx_ankA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.245401408.1', 'splitting_polynomials': [[1597, 0, 451, 0, 38, 0, 1]], 'twist_count': 2, 'twists': [['3.17.k_cx_nk', '3.289.by_but_bguu', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.17.ak_cx_ank', 'extension_degree': 1, 'extension_label': '3.17.ak_cx_ank', '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': '6.0.245401408.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.17.ak_cx_ank', 'galois_group': '6T6', 'places': [['5', '4', '8', '12', '0', '0'], ['12', '4', '9', '12', '0', '0']]}