Abelian variety isogeny class data - 2.31.ak_dj

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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': 729, 'abvar_counts': [729, 998001, 907937424, 853914605625, 819183221376129, 787563356339056896, 756941785716807052209, 727425750758891064755625, 699054091532917311284933904, 671790523586047467524813133441], 'abvar_counts_str': '729 998001 907937424 853914605625 819183221376129 787563356339056896 756941785716807052209 727425750758891064755625 699054091532917311284933904 671790523586047467524813133441 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.351775594289712, 0.351775594289712], 'center_dim': 2, 'curve_count': 22, 'curve_counts': [22, 1036, 30472, 924628, 28613602, 887391646, 27512535982, 852894119908, 26439639995032, 819628280596156], 'curve_counts_str': '22 1036 30472 924628 28613602 887391646 27512535982 852894119908 26439639995032 819628280596156 ', 'curves': ['y^2=x^6+7*x^3+2', 'y^2=20*x^6+19*x^5+12*x^4+21*x^3+12*x^2+19*x+20', 'y^2=25*x^6+6*x^5+23*x^4+8*x^3+25*x^2+2*x+20', 'y^2=27*x^6+2*x^5+19*x^4+10*x^3+19*x^2+2*x+27', 'y^2=17*x^6+5*x^5+19*x^4+26*x^3+19*x^2+5*x+17', 'y^2=x^6+25*x^3+1', 'y^2=x^6+x^3+1', 'y^2=21*x^6+29*x^5+13*x^4+21*x^3+13*x^2+29*x+21', 'y^2=x^6+11*x^5+24*x^4+20*x^3+9*x^2+3', 'y^2=x^6+24*x^5+13*x^4+7*x^3+13*x^2+24*x+1', 'y^2=17*x^6+14*x^5+14*x^4+2*x^3+4*x^2+10*x+23', 'y^2=23*x^6+13*x^5+2*x^4+15*x^3+2*x^2+13*x+23', 'y^2=16*x^6+21*x^5+12*x^4+7*x^3+12*x^2+21*x+16', 'y^2=4*x^6+8*x^5+15*x^4+4*x^3+15*x^2+8*x+4', 'y^2=3*x^6+28*x^5+18*x^4+19*x^3+8*x^2+26*x+12', 'y^2=28*x^6+15*x^5+6*x^4+19*x^3+6*x^2+15*x+28'], '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': ['2.0.11.1'], 'geometric_splitting_field': '2.0.11.1', 'geometric_splitting_polynomials': [[3, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 16, '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': 16, 'label': '2.31.ak_dj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['2.0.11.1'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -10, 87, -310, 961], 'poly_str': '1 -10 87 -310 961 ', 'primitive_models': [], 'q': 31, 'real_poly': [1, -10, 25], 'simple_distinct': ['1.31.af'], 'simple_factors': ['1.31.afA', '1.31.afB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.11.1', 'splitting_polynomials': [[3, -1, 1]], 'twist_count': 6, 'twists': [['2.31.a_bl', '2.961.cw_ewp', 2], ['2.31.k_dj', '2.961.cw_ewp', 2], ['2.31.f_ag', '2.29791.bae_jzdu', 3], ['2.31.a_abl', '2.923521.bqo_esmrz', 4], ['2.31.af_ag', '2.887503681.agjtc_pxnegnm', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.31.ak_dj', 'extension_degree': 1, 'extension_label': '1.31.af', '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': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.31.af', 'galois_group': '2T1', 'places': [['9', '1'], ['21', '1']]}