Abelian variety isogeny class data - 2.81.abi_ri

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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': 4224, 'abvar_counts': [4224, 41395200, 281545520256, 1852639857868800, 12157551528748543104, 79766430857322168960000, 523347629106371457147222144, 3433683786252907507046626099200, 22528399477063272521228548757444736, 147808829325628280218215120961342080000], 'abvar_counts_str': '4224 41395200 281545520256 1852639857868800 12157551528748543104 79766430857322168960000 523347629106371457147222144 3433683786252907507046626099200 22528399477063272521228548757444736 147808829325628280218215120961342080000 ', 'angle_rank': 1, 'angles': [0.0, 0.0, 0.151478024726293], 'center_dim': 3, 'curve_count': 48, 'curve_counts': [48, 6306, 529776, 43037886, 3486751728, 282429493218, 22876792283568, 1853020170482046, 150094634844778416, 12157665451759669026], 'curve_counts_str': '48 6306 529776 43037886 3486751728 282429493218 22876792283568 1853020170482046 150094634844778416 12157665451759669026 ', 'curves': [], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 2, 'galois_groups': ['1T1', '2T1'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 2, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, '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': 3, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.68.1'], 'geometric_splitting_field': '2.0.68.1', 'geometric_splitting_polynomials': [[17, 0, 1]], 'has_geom_ss_factor': True, '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': '2.81.abi_ri', 'max_divalg_dim': 4, 'max_geom_divalg_dim': 4, 'max_twist_degree': 6, 'number_fields': ['1.1.1.1', '2.0.68.1'], 'p': 3, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, -34, 450, -2754, 6561], 'poly_str': '1 -34 450 -2754 6561 ', 'primitive_models': [], 'q': 81, 'real_poly': [1, -34, 288], 'simple_distinct': ['1.81.as', '1.81.aq'], 'simple_factors': ['1.81.asA', '1.81.aqA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '2.0.68.1', 'splitting_polynomials': [[17, 0, 1]], 'twist_count': 10, 'twists': [['2.81.ac_aew', '2.6561.ajw_bpyk', 2], ['2.81.c_aew', '2.6561.ajw_bpyk', 2], ['2.81.bi_ri', '2.6561.ajw_bpyk', 2], ['2.81.ah_s', '2.531441.acmc_czsyc', 3], ['2.81.aq_gg', '2.43046721.anbw_cnimpa', 4], ['2.81.q_gg', '2.43046721.anbw_cnimpa', 4], ['2.81.az_lu', '2.282429536481.acmaa_acmprgngqc', 6], ['2.81.h_s', '2.282429536481.acmaa_acmprgngqc', 6], ['2.81.z_lu', '2.282429536481.acmaa_acmprgngqc', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 99863
    {'base_label': '2.81.abi_ri', 'extension_degree': 1, 'extension_label': '1.81.as', 'multiplicity': 1}
  • id: 99864
    {'base_label': '2.81.abi_ri', 'extension_degree': 1, 'extension_label': '1.81.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': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.81.as', 'galois_group': '1T1', 'places': [['0']]}
• 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': '2.0.68.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.81.aq', 'galois_group': '2T1', 'places': [['1', '1'], ['2', '1']]}