Abelian variety isogeny class data - 2.23.al_cr

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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': 335, 'abvar_counts': [335, 289105, 150338285, 78372028925, 41423951738800, 21917435658538105, 11593490683307035985, 6132656522992838100725, 3244147721266737709186955, 1716154939750589952863622400], 'abvar_counts_str': '335 289105 150338285 78372028925 41423951738800 21917435658538105 11593490683307035985 6132656522992838100725 3244147721266737709186955 1716154939750589952863622400 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.174086733329597, 0.405448433342557], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 13, 'curve_counts': [13, 547, 12355, 280059, 6435948, 148054879, 3405017629, 78311574051, 1801150891135, 41426489691582], 'curve_counts_str': '13 547 12355 280059 6435948 148054879 3405017629 78311574051 1801150891135 41426489691582 ', 'curves': ['y^2=20*x^6+14*x^5+10*x^4+4*x^3+8*x^2+2*x+19', 'y^2=16*x^6+2*x^5+4*x^4+16*x^3+4*x^2+9*x+17', 'y^2=21*x^5+4*x^4+15*x^3+14*x^2+15*x+21', 'y^2=4*x^6+14*x^5+14*x^4+6*x^3+5*x^2+18*x+22', 'y^2=8*x^6+5*x^4+17*x^3+4*x^2+14*x+8', 'y^2=9*x^6+12*x^5+4*x^4+20*x^3+18*x^2+14*x+3', 'y^2=7*x^6+19*x^5+4*x^4+16*x^2+15*x+4', 'y^2=14*x^6+12*x^5+7*x^4+22*x^3+3*x^2+6*x+6'], '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': 1, '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': ['4.0.1760213.1'], 'geometric_splitting_field': '4.0.1760213.1', 'geometric_splitting_polynomials': [[175, 28, 24, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.23.al_cr', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 1, 'noncyclic_primes': [], 'number_fields': ['4.0.1760213.1'], 'p': 23, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, -11, 69, -253, 529], 'poly_str': '1 -11 69 -253 529 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, -11, 23], 'simple_distinct': ['2.23.al_cr'], 'simple_factors': ['2.23.al_crA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.1760213.1', 'splitting_polynomials': [[175, 28, 24, -1, 1]], 'twist_count': 2, 'twists': [['2.23.l_cr', '2.529.r_jt', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2093, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.23.al_cr', 'extension_degree': 1, 'extension_label': '2.23.al_cr', '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'], 'center': '4.0.1760213.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.al_cr', 'galois_group': '4T3', 'places': [['8', '1', '0', '0'], ['241/23', '455/23', '15/23', '525/23'], ['195/23', '455/23', '15/23', '525/23']]}