Abelian variety isogeny class data - 2.29.ac_ch

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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': 841, 'abvar_counts': [841, 808201, 599074576, 498033661225, 420540699253921, 353864016065007616, 297563723405757482521, 250245432242435560041225, 210457120251519476041150096, 176994596791493558216599746841], 'abvar_counts_str': '841 808201 599074576 498033661225 420540699253921 353864016065007616 297563723405757482521 250245432242435560041225 210457120251519476041150096 176994596791493558216599746841 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.470403040322891, 0.470403040322891], 'center_dim': 2, 'curve_count': 28, 'curve_counts': [28, 956, 24562, 704148, 20503028, 594906086, 17250194612, 500244331108, 14507134663258, 420707282361356], 'curve_counts_str': '28 956 24562 704148 20503028 594906086 17250194612 500244331108 14507134663258 420707282361356 ', 'curves': ['y^2=3*x^6+22*x^5+22*x^4+3*x^3+5*x^2+13*x+17', 'y^2=3*x^6+8*x^5+6*x^4+2*x^3+4*x^2+5*x+10', 'y^2=15*x^6+26*x^5+26*x^4+25*x^3+15*x^2+12*x+10', 'y^2=22*x^6+16*x^5+22*x^4+x^3+x^2+12*x+23', 'y^2=5*x^6+19*x^5+14*x^4+7*x^3+17*x^2+11*x+13', 'y^2=22*x^6+23*x^5+18*x^4+12*x^3+10*x^2+13*x+15', 'y^2=12*x^6+11*x^5+10*x^4+14*x^3+5*x^2+5*x+9', 'y^2=20*x^6+2*x^5+16*x^4+13*x^2+2*x+9', 'y^2=10*x^6+21*x^5+5*x^4+22*x^3+6*x^2+5*x+20', 'y^2=13*x^6+23*x^5+16*x^4+21*x^3+23*x^2+20*x+9', 'y^2=22*x^6+9*x^5+15*x^4+10*x^3+x^2+2*x+22'], 'dim1_distinct': 1, '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': ['2T1'], 'geom_dim1_distinct': 1, '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.115.1'], 'geometric_splitting_field': '2.0.115.1', 'geometric_splitting_polynomials': [[29, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 11, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 11, 'label': '2.29.ac_ch', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [29], 'number_fields': ['2.0.115.1'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -2, 59, -58, 841], 'poly_str': '1 -2 59 -58 841 ', 'primitive_models': [], 'q': 29, 'real_poly': [1, -2, 1], 'simple_distinct': ['1.29.ab'], 'simple_factors': ['1.29.abA', '1.29.abB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.115.1', 'splitting_polynomials': [[29, -1, 1]], 'twist_count': 6, 'twists': [['2.29.a_cf', '2.841.ek_hhr', 2], ['2.29.c_ch', '2.841.ek_hhr', 2], ['2.29.b_abc', '2.24389.gq_dfco', 3], ['2.29.a_acf', '2.707281.aeqo_imeyd', 4], ['2.29.ab_abc', '2.594823321.eslg_jkgsdvy', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.29.ac_ch', 'extension_degree': 1, 'extension_label': '1.29.ab', 'multiplicity': 2}
• 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': '2.0.115.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.29.ab', 'galois_group': '2T1', 'places': [['28', '1'], ['0', '1']]}