Abelian variety isogeny class data - 3.9.ab_ad_bt

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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': 663, 'abvar_counts': [663, 488631, 459401319, 284203914423, 206932639697823, 149784878726962479, 109453138379082693312, 79768430721881927558247, 58146024918703957797342807, 42389651895466005486919090671], 'abvar_counts_str': '663 488631 459401319 284203914423 206932639697823 149784878726962479 109453138379082693312 79768430721881927558247 58146024918703957797342807 42389651895466005486919090671 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.225992293488476, 0.372040413784523, 0.941167390148914], 'center_dim': 6, 'curve_count': 9, 'curve_counts': [9, 75, 855, 6603, 59349, 530343, 4784460, 43047795, 387395757, 3486660495], 'curve_counts_str': '9 75 855 6603 59349 530343 4784460 43047795 387395757 3486660495 ', 'curves': ['y^2=x^7+x^4+a*x+1', 'y^2=x^7+x^4+(2*a+1)*x+1', 'y^2=x^7+a*x^5+(a+1)*x^4+(a+1)*x^3+2*x^2+2*x+2*a', 'y^2=x^7+(2*a+1)*x^5+(a+1)*x^4+(2*a+2)*x^3+x^2+2*x+2*a+1'], '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': ['6.0.112056007.1'], 'geometric_splitting_field': '6.0.112056007.1', 'geometric_splitting_polynomials': [[27, -37, 49, -25, 15, -3, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.9.ab_ad_bt', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 2, 'noncyclic_primes': [], 'number_fields': ['6.0.112056007.1'], 'p': 3, 'p_rank': 1, 'p_rank_deficit': 2, 'poly': [1, -1, -3, 45, -27, -81, 729], 'poly_str': '1 -1 -3 45 -27 -81 729 ', 'primitive_models': [], 'q': 9, 'real_poly': [1, -1, -30, 63], 'simple_distinct': ['3.9.ab_ad_bt'], 'simple_factors': ['3.9.ab_ad_btA'], 'simple_multiplicities': [1], 'slopes': ['0A', '1/2A', '1/2B', '1/2C', '1/2D', '1A'], 'splitting_field': '6.0.112056007.1', 'splitting_polynomials': [[27, -37, 49, -25, 15, -3, 1]], 'twist_count': 2, 'twists': [['3.9.b_ad_abt', '3.81.ah_bt_avv', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.9.ab_ad_bt', 'extension_degree': 1, 'extension_label': '3.9.ab_ad_bt', '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', '0'], 'center': '6.0.112056007.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.9.ab_ad_bt', 'galois_group': '6T11', 'places': [['2', '1', '0', '0', '0', '0'], ['1', '0', '1', '1', '1', '0'], ['0', '1', '0', '0', '0', '0']]}