Abelian variety isogeny class data - 2.131.abn_yj

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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_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
  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': 12647, 'abvar_counts': [12647, 290160121, 5052597291497, 86732557097001661, 1488378893455681028912, 25542029073196596594758089, 438326882704145109084955870253, 7522128134482092551379600686873109, 129087241871939737513945288974239481227, 2215266158819771282287708066373524635179776], 'abvar_counts_str': '12647 290160121 5052597291497 86732557097001661 1488378893455681028912 25542029073196596594758089 438326882704145109084955870253 7522128134482092551379600686873109 129087241871939737513945288974239481227 2215266158819771282287708066373524635179776 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0557073858854771, 0.244600981272665], 'center_dim': 4, 'curve_count': 93, 'curve_counts': [93, 16907, 2247507, 294507915, 38579538168, 5053911364127, 662062572639561, 86730202785355939, 11361656649032432667, 1488377021732352240902], 'curve_counts_str': '93 16907 2247507 294507915 38579538168 5053911364127 662062572639561 86730202785355939 11361656649032432667 1488377021732352240902 ', 'curves': ['y^2=83*x^6+36*x^5+92*x^4+86*x^3+4*x^2+3*x+117', 'y^2=34*x^6+27*x^5+35*x^4+81*x^3+51*x^2+117*x+41', 'y^2=54*x^6+84*x^5+38*x^3+74*x^2+123*x+22', 'y^2=50*x^6+87*x^5+101*x^4+98*x^3+33*x^2+108*x+10', 'y^2=46*x^6+129*x^5+50*x^4+42*x^3+6*x^2+76*x+37', 'y^2=105*x^6+45*x^5+6*x^4+30*x^3+98*x^2+6*x+59', 'y^2=77*x^5+48*x^4+100*x^3+127*x^2+63*x+32', 'y^2=56*x^6+104*x^5+32*x^4+28*x^3+74*x^2+88*x+93', 'y^2=34*x^6+66*x^5+101*x^4+111*x^3+53*x^2+29*x+68'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.5504749.1'], 'geometric_splitting_field': '4.0.5504749.1', 'geometric_splitting_polynomials': [[371, 149, 63, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 9, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 9, 'label': '2.131.abn_yj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.5504749.1'], 'p': 131, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -39, 633, -5109, 17161], 'poly_str': '1 -39 633 -5109 17161 ', 'primitive_models': [], 'q': 131, 'real_poly': [1, -39, 371], 'simple_distinct': ['2.131.abn_yj'], 'simple_factors': ['2.131.abn_yjA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.5504749.1', 'splitting_polynomials': [[371, 149, 63, -1, 1]], 'twist_count': 2, 'twists': [['2.131.bn_yj', '2.17161.ajv_ccaf', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.131.abn_yj', 'extension_degree': 1, 'extension_label': '2.131.abn_yj', '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': '4.0.5504749.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.131.abn_yj', 'galois_group': '4T3', 'places': [['1679/131', '153/131', '9/131', '1/131'], ['121', '1', '0', '0']]}