Abelian variety isogeny class data - 3.5.ad_j_av

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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': 81, 'abvar_counts': [81, 22599, 1817397, 248430807, 31069677141, 3819635996679, 484175563221312, 59969746222317927, 7435660918906381257, 930757275293737603239], 'abvar_counts_str': '81 22599 1817397 248430807 31069677141 3819635996679 484175563221312 59969746222317927 7435660918906381257 930757275293737603239 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.156438895231207, 0.420066930347506, 0.651902283391822], 'center_dim': 6, 'cohen_macaulay_max': 1, 'curve_count': 3, 'curve_counts': [3, 35, 117, 635, 3183, 15647, 79320, 393011, 1949211, 9759695], 'curve_counts_str': '3 35 117 635 3183 15647 79320 393011 1949211 9759695 ', 'curves': ['y^2=x^7+x^4+x^3+2*x^2+x+2', 'y^2=x^7+x^4+3*x^3+2*x^2+3*x+2', 'y^2=x^7+2*x^4+3*x^2+4*x+3', 'y^2=x^7+x^5+x^4+x^3+x^2+4*x+3', 'y^2=x^7+2*x^5+x^4+4*x^2+3*x+3', 'y^2=x^7+2*x^5+x^4+3*x^3+2*x^2+x+2', '3*x^4+x^3*y+3*x^3*z+4*x^2*y^2+2*x^2*y*z+x*y*z^2+x*z^3+y^3*z=0', 'x^4+3*x^3*y+3*x^3*z+2*x^2*y*z+x^2*z^2+x*y^3+x*z^3+y^4+y^2*z^2=0', '3*x^4+x^3*z+x^2*y^2+x^2*y*z+x*z^3+2*y^4+y^2*z^2=0', '4*x^4+2*x^3*y+x^3*z+3*x^2*y^2+2*x^2*y*z+x^2*z^2+x*z^3+2*y^4+y^2*z^2=0', '2*x^4+3*x^2*y^2+x^2*z^2+x*y^3+x*z^3+2*y^4+y^2*z^2=0', 'x^4+2*x^3*y+4*x^3*z+4*x^2*y^2+x^2*z^2+x*y^3+x*z^3+2*y^4+y^2*z^2=0', '3*x^4+x^3*z+2*x^2*z^2+x*y^3+x*z^3+2*y^4+y^2*z^2=0', 'x^4+x^3*z+2*x^2*y^2+x^2*y*z+4*x^2*z^2+x*y^3+x*z^3+2*y^4+y^2*z^2=0', '3*x^4+2*x^3*y+x^2*y^2+4*x^2*y*z+2*x^2*z^2+2*x*y^3+x*z^3+2*y^4+y^2*z^2=0'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 4, 'g': 3, 'galois_groups': ['6T11'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T11'], 'geometric_number_fields': ['6.0.135911079.1'], 'geometric_splitting_field': '6.0.135911079.1', 'geometric_splitting_polynomials': [[81, 21, 21, -5, 9, -3, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 15, 'label': '3.5.ad_j_av', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['6.0.135911079.1'], 'p': 5, 'p_rank': 3, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 13], [1, 31, 1, 26]], 'poly': [1, -3, 9, -21, 45, -75, 125], 'poly_str': '1 -3 9 -21 45 -75 125 ', 'primitive_models': [], 'principal_polarization_count': 39, 'q': 5, 'real_poly': [1, -3, -6, 9], 'simple_distinct': ['3.5.ad_j_av'], 'simple_factors': ['3.5.ad_j_avA'], 'simple_multiplicities': [1], 'singular_primes': ['3,-F^3+2*F-V+2', '3,F^3+2*F^2-3'], 'size': 65, 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.135911079.1', 'splitting_polynomials': [[81, 21, 21, -5, 9, -3, 1]], 'twist_count': 2, 'twists': [['3.5.d_j_v', '3.25.j_bt_gn', 2]], 'weak_equivalence_count': 4, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 26, 'zfv_plus_index': 3, 'zfv_plus_index_factorization': [[3, 1]], 'zfv_plus_norm': 1319, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,-F^3+2*F-V+2', '3,F^3+2*F^2-3']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.5.ad_j_av', 'extension_degree': 1, 'extension_label': '3.5.ad_j_av', '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': '6.0.135911079.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.5.ad_j_av', 'galois_group': '6T11', 'places': [['23/5', '11/5', '4/5', '4/5', '21/5', '2/5'], ['17/5', '14/5', '21/5', '21/5', '4/5', '23/5']]}