Abelian variety isogeny class data - 2.19.ae_bg

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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': 314, 'abvar_counts': [314, 148836, 47680586, 16979806224, 6136112715674, 2213253938430756, 798912229550492714, 288437738573765689344, 104127893249664448375226, 37590010803408969411493476], 'abvar_counts_str': '314 148836 47680586 16979806224 6136112715674 2213253938430756 798912229550492714 288437738573765689344 104127893249664448375226 37590010803408969411493476 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.298277766668744, 0.542564572633739], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 16, 'curve_counts': [16, 410, 6952, 130294, 2478136, 47044586, 893766064, 16983346654, 322689380368, 6131072349050], 'curve_counts_str': '16 410 6952 130294 2478136 47044586 893766064 16983346654 322689380368 6131072349050 ', 'curves': ['y^2=4*x^6+11*x^4+15*x^3+7*x^2+10*x+11', 'y^2=4*x^6+14*x^5+9*x^4+8*x^3+18*x^2+15*x+8', 'y^2=11*x^6+15*x^5+17*x^4+14*x^3+5*x^2+3*x+16', 'y^2=6*x^6+5*x^4+10*x^3+18*x^2+2*x+2', 'y^2=17*x^6+x^5+8*x^4+7*x^3+15*x^2+7*x+17', 'y^2=18*x^6+8*x^5+x^4+16*x^3+15*x^2+18*x+12', 'y^2=5*x^6+15*x^5+8*x^4+14*x^3+10*x^2+17*x+9', 'y^2=3*x^6+11*x^5+15*x^4+17*x^3+x^2+12*x+15', 'y^2=2*x^6+3*x^5+12*x^4+12*x^3+2*x^2+7*x+10', 'y^2=5*x^6+17*x^5+9*x^4+4*x^3+12*x^2+11*x+1', 'y^2=9*x^6+5*x^5+16*x^4+18*x^3+3*x^2+5*x', 'y^2=13*x^6+17*x^5+13*x^4+x^3+9*x^2+5*x+1'], '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': ['4.0.5894400.1'], 'geometric_splitting_field': '4.0.5894400.1', 'geometric_splitting_polynomials': [[314, -20, 26, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, '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': 12, 'label': '2.19.ae_bg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.5894400.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -4, 32, -76, 361], 'poly_str': '1 -4 32 -76 361 ', 'primitive_models': [], 'q': 19, 'real_poly': [1, -4, -6], 'simple_distinct': ['2.19.ae_bg'], 'simple_factors': ['2.19.ae_bgA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.5894400.1', 'splitting_polynomials': [[314, -20, 26, 0, 1]], 'twist_count': 2, 'twists': [['2.19.e_bg', '2.361.bw_bru', 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': 3684, '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': '2.19.ae_bg', 'extension_degree': 1, 'extension_label': '2.19.ae_bg', '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': '4.0.5894400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.ae_bg', 'galois_group': '4T3', 'places': [['314/19', '27/19', '360/19', '1/19'], ['1', '1', '0', '0']]}