Abelian variety isogeny class data - 3.19.aj_cl_aml

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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': 4539, 'abvar_counts': [4539, 53110839, 322905381417, 2197641593588439, 15184382590865152029, 104176492109523056268351, 714266420728141910867559744, 4898827833368646187877101224519, 33600723062387347601295547068365967, 230466606430228492623446665803713335959], 'abvar_counts_str': '4539 53110839 322905381417 2197641593588439 15184382590865152029 104176492109523056268351 714266420728141910867559744 4898827833368646187877101224519 33600723062387347601295547068365967 230466606430228492623446665803713335959 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.135165518629409, 0.420208233710824, 0.540494570088052], 'center_dim': 6, 'curve_count': 11, 'curve_counts': [11, 407, 6863, 129395, 2476631, 47068079, 893942984, 16983788051, 322688736113, 6131065952747], 'curve_counts_str': '11 407 6863 129395 2476631 47068079 893942984 16983788051 322688736113 6131065952747 ', 'curves': ['y^2=18*x^7+9*x^5+6*x^4+15*x^3+16*x^2+14*x+10', 'y^2=x^7+11*x^5+5*x^4+13*x^3+10*x^2+3*x+8', 'y^2=18*x^7+11*x^4+14*x^3+4*x^2+18', 'y^2=18*x^7+18*x^5+2*x^4+10*x^3+15*x^2+17*x+3', 'y^2=x^7+17*x^5+18*x^4+6*x^3+8*x^2+14*x+3', 'y^2=18*x^7+13*x^5+14*x^4+6*x^3+2*x^2+5*x+13', 'y^2=x^7+15*x^5+18*x^4+18*x^3+15*x^2+10*x+2', 'y^2=18*x^7+15*x^5+17*x^4+14*x^3+14*x^2+6*x+2', 'y^2=18*x^7+13*x^5+10*x^4+4*x^3+3*x^2+8*x+13', 'y^2=18*x^7+17*x^5+15*x^4+7*x^3+11*x^2+7*x+6', 'y^2=x^7+13*x^5+17*x^4+5*x^3+6*x^2+14', 'y^2=x^7+17*x^5+8*x^4+12*x^3+5*x^2+12*x+12', 'y^2=18*x^7+10*x^5+13*x^4+5*x^3+10*x^2+x+8', 'y^2=18*x^7+2*x^5+18*x^4+16*x^3+4*x^2+5*x+12', 'y^2=x^7+12*x^5+16*x^4+5*x^3+13*x^2+14*x+8', 'y^2=18*x^7+14*x^5+7*x^4+12*x^3+17*x^2+13*x+13', 'y^2=18*x^7+x^5+5*x^4+14*x^3+6*x^2+15*x+12', 'y^2=18*x^7+15*x^5+x^3+7*x^2+18*x+12', 'y^2=x^7+14*x^5+12*x^4+2*x^3+9*x^2+14*x+17', 'y^2=x^7+3*x^5+15*x^4+x^3+16*x^2+6'], '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, 'g': 3, 'galois_groups': ['6T6'], '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': ['6T6'], 'geometric_number_fields': ['6.0.451390239.2'], 'geometric_splitting_field': '6.0.451390239.2', 'geometric_splitting_polynomials': [[1272, 72, 450, -51, 42, -3, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 20, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.19.aj_cl_aml', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 3, 'newton_elevation': 1, 'noncyclic_primes': [], 'number_fields': ['6.0.451390239.2'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 1, 'poly': [1, -9, 63, -323, 1197, -3249, 6859], 'poly_str': '1 -9 63 -323 1197 -3249 6859 ', 'primitive_models': [], 'q': 19, 'real_poly': [1, -9, 6, 19], 'simple_distinct': ['3.19.aj_cl_aml'], 'simple_factors': ['3.19.aj_cl_amlA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '1/2A', '1/2B', '1A', '1B'], 'splitting_field': '6.0.451390239.2', 'splitting_polynomials': [[1272, 72, 450, -51, 42, -3, 1]], 'twist_count': 2, 'twists': [['3.19.j_cl_ml', '3.361.bt_vd_con', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.19.aj_cl_aml', 'extension_degree': 1, 'extension_label': '3.19.aj_cl_aml', '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', '0'], 'center': '6.0.451390239.2', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.19.aj_cl_aml', 'galois_group': '6T6', 'places': [['8', '1', '0', '0', '0', '0'], ['10', '1', '0', '0', '0', '0'], ['14', '1', '0', '0', '0', '0'], ['3', '1', '0', '0', '0', '0'], ['5', '1', '0', '0', '0', '0']]}