Abelian variety isogeny class data - 2.19.d_j

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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': 431, 'abvar_counts': [431, 134041, 47854361, 17093578525, 6118271195696, 2213222132266681, 798972977334964541, 288443486959561221525, 104127980383692780184451, 37589948348409826210690816], 'abvar_counts_str': '431 134041 47854361 17093578525 6118271195696 2213222132266681 798972977334964541 288443486959561221525 104127980383692780184451 37589948348409826210690816 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.344551467303034, 0.802330247684943], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 23, 'curve_counts': [23, 371, 6977, 131163, 2470928, 47043911, 893834027, 16983685123, 322689650393, 6131062162406], 'curve_counts_str': '23 371 6977 131163 2470928 47043911 893834027 16983685123 322689650393 6131062162406 ', 'curves': ['y^2=16*x^6+17*x^5+16*x^4+16*x^3+18*x^2+11*x+15', 'y^2=15*x^6+7*x^5+x^4+18*x^3+2*x^2+14*x+8', 'y^2=17*x^6+6*x^5+6*x^4+6*x^3+17*x^2+10*x+10', 'y^2=7*x^6+15*x^5+14*x^4+15*x^3+17*x^2+6*x+9', 'y^2=11*x^6+12*x^5+12*x^4+15*x^3+8*x^2+6*x+13', 'y^2=15*x^6+12*x^5+4*x^4+17*x^3+2*x^2+4*x+14', 'y^2=18*x^6+4*x^5+7*x^4+11*x^3+7*x^2+12*x+4', 'y^2=17*x^6+9*x^5+15*x^4+16*x^3+11*x^2+12*x+14', 'y^2=x^6+3*x^4+14*x^3+7*x^2+14*x+4', 'y^2=10*x^5+9*x^4+16*x^3+3*x^2+10*x+4', 'y^2=5*x^6+4*x^5+9*x^4+x^3+11*x^2+9*x+15', 'y^2=16*x^6+9*x^5+17*x^4+2*x^3+4*x^2+9*x+7', 'y^2=3*x^6+7*x^5+3*x^4+6*x^3+4*x^2+15*x+2', 'y^2=x^6+18*x^5+6*x^4+4*x^3+7*x^2+4*x+11', 'y^2=6*x^6+18*x^5+11*x^4+4*x^3+13*x^2+11*x', 'y^2=12*x^6+8*x^5+2*x^4+3*x^3+8*x^2+15*x+5', 'y^2=15*x^6+6*x^5+4*x^4+12*x^3+14*x^2+2*x', 'y^2=6*x^6+16*x^5+16*x^4+12*x^3+9*x^2+12*x+9', 'y^2=16*x^6+6*x^4+17*x^2+15*x+17', 'y^2=11*x^6+18*x^5+10*x^4+13*x^2+16', 'y^2=5*x^6+17*x^5+3*x^4+3*x^3+10*x^2+11*x+1', 'y^2=16*x^6+17*x^5+7*x^4+12*x^3+4*x^2+6*x+9', 'y^2=18*x^6+10*x^5+16*x^4+4*x^3+9*x^2+9*x+7', 'y^2=14*x^5+17*x^4+10*x^3+13*x^2+9*x+7', 'y^2=18*x^6+10*x^5+12*x^4+11*x^3+6*x^2+9*x+14'], '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': 4, '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': ['4.0.1525.1'], 'geometric_splitting_field': '4.0.1525.1', 'geometric_splitting_polynomials': [[5, -5, 6, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 25, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 25, 'label': '2.19.d_j', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.1525.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 3, 9, 57, 361], 'poly_str': '1 3 9 57 361 ', 'primitive_models': [], 'q': 19, 'real_poly': [1, 3, -29], 'simple_distinct': ['2.19.d_j'], 'simple_factors': ['2.19.d_jA'], 'simple_multiplicities': [1], 'singular_primes': ['5,-4*F-12*V-32'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1525.1', 'splitting_polynomials': [[5, -5, 6, -2, 1]], 'twist_count': 2, 'twists': [['2.19.ad_j', '2.361.j_rt', 2]], 'weak_equivalence_count': 4, 'zfv_index': 125, 'zfv_index_factorization': [[5, 3]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 5, 'zfv_plus_index_factorization': [[5, 1]], 'zfv_plus_norm': 1525, 'zfv_singular_count': 2, 'zfv_singular_primes': ['5,-4*F-12*V-32']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.19.d_j', 'extension_degree': 1, 'extension_label': '2.19.d_j', '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': '4.0.1525.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.d_j', 'galois_group': '4T3', 'places': [['7', '3', '18', '1'], ['9', '3', '18', '1'], ['16', '3', '18', '1'], ['5', '3', '18', '1']]}