Abelian variety isogeny class data - 2.113.ay_kz

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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': 10319, 'abvar_counts': [10319, 162947329, 2079874690544, 26576802076930201, 339448925230580404439, 4334521743815461045770496, 55347524650333995569477728679, 706732540733829712076859317914089, 9024267946700793045391318179955274096, 115230877640253992920680976725196439294449], 'abvar_counts_str': '10319 162947329 2079874690544 26576802076930201 339448925230580404439 4334521743815461045770496 55347524650333995569477728679 706732540733829712076859317914089 9024267946700793045391318179955274096 115230877640253992920680976725196439294449 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0197105444321555, 0.458251322724464], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 90, 'curve_counts': [90, 12764, 1441458, 163000500, 18423927690, 2081951101118, 235260544576266, 26584441479705124, 3004041931836722514, 339456738971660776364], 'curve_counts_str': '90 12764 1441458 163000500 18423927690 2081951101118 235260544576266 26584441479705124 3004041931836722514 339456738971660776364 ', 'curves': ['y^2=99*x^6+38*x^5+65*x^4+95*x^3+12*x^2+77*x+75', 'y^2=37*x^6+2*x^5+104*x^4+76*x^3+109*x^2+82*x+102', 'y^2=108*x^6+27*x^5+110*x^4+14*x^3+100*x^2+23*x+4', 'y^2=20*x^6+56*x^5+107*x^4+79*x^3+23*x^2+62*x+10', 'y^2=49*x^6+5*x^5+67*x^4+35*x^3+71*x^2+107*x+107', 'y^2=46*x^6+28*x^5+65*x^4+65*x^3+14*x^2+82*x+10', 'y^2=80*x^6+109*x^5+94*x^4+50*x^3+81*x^2+53*x+58', 'y^2=62*x^6+42*x^5+101*x^4+68*x^3+49*x^2+8*x+74', 'y^2=61*x^6+107*x^5+14*x^4+27*x^3+12*x^2+22*x+54', 'y^2=61*x^6+13*x^5+84*x^4+19*x^3+43*x^2+103*x+107', 'y^2=97*x^6+40*x^5+70*x^4+99*x^3+36*x^2+40*x+98', 'y^2=90*x^6+36*x^5+83*x^4+55*x^3+35*x^2+61*x+59', 'y^2=88*x^6+42*x^5+x^4+69*x^3+90*x^2+44*x+25', 'y^2=10*x^6+89*x^5+52*x^4+72*x^3+72*x^2+86*x+99', 'y^2=90*x^6+97*x^5+51*x^4+22*x^3+8*x^2+42*x+23', 'y^2=31*x^6+79*x^5+93*x^4+55*x^3+7*x^2+55*x+43', 'y^2=43*x^6+80*x^5+80*x^4+6*x^3+96*x^2+106*x+58', 'y^2=29*x^6+53*x^5+53*x^4+108*x^3+96*x^2+81*x+107', 'y^2=41*x^6+10*x^5+109*x^4+32*x^3+48*x^2+43*x+112', 'y^2=44*x^6+40*x^5+77*x^4+54*x^3+108*x^2+20*x+63'], '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, 'endomorphism_ring_count': 2, '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': ['4.0.5556025.1'], 'geometric_splitting_field': '4.0.5556025.1', 'geometric_splitting_polynomials': [[236, 146, 27, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 20, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 20, 'label': '2.113.ay_kz', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.5556025.1'], 'p': 113, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 10], [1, 7, 2, 10]], 'poly': [1, -24, 285, -2712, 12769], 'poly_str': '1 -24 285 -2712 12769 ', 'primitive_models': [], 'principal_polarization_count': 20, 'q': 113, 'real_poly': [1, -24, 59], 'simple_distinct': ['2.113.ay_kz'], 'simple_factors': ['2.113.ay_kzA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F^2+3*F+1'], 'size': 40, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.5556025.1', 'splitting_polynomials': [[236, 146, 27, -1, 1]], 'twist_count': 2, 'twists': [['2.113.y_kz', '2.12769.ag_abiqn', 2]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 20, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 769, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F^2+3*F+1']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.113.ay_kz', 'extension_degree': 1, 'extension_label': '2.113.ay_kz', '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', '0'], 'center': '4.0.5556025.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.113.ay_kz', 'galois_group': '4T3', 'places': [['107', '1', '0', '0'], ['102', '1', '0', '0'], ['90', '1', '0', '0'], ['39', '1', '0', '0']]}