Abelian variety isogeny class data - 2.197.aca_bpb

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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': 29581, 'abvar_counts': [29581, 1484167513, 58414372764100, 2268417823589269369, 88036449421385648571421, 3416604904352003898329568400, 132595006652477379781216217784949, 5145879576639842851614175851431009769, 199706440443959909805837483904926232344100, 7750407247305473660518900721889374704858420153], 'abvar_counts_str': '29581 1484167513 58414372764100 2268417823589269369 88036449421385648571421 3416604904352003898329568400 132595006652477379781216217784949 5145879576639842851614175851431009769 199706440443959909805837483904926232344100 7750407247305473660518900721889374704858420153 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.049539943815127, 0.167628951892998], 'center_dim': 4, 'curve_count': 146, 'curve_counts': [146, 38240, 7640486, 1506115044, 296709456466, 58451734502750, 11514990561085738, 2268453124427693764, 446885265409643759822, 88036397287015566495200], 'curve_counts_str': '146 38240 7640486 1506115044 296709456466 58451734502750 11514990561085738 2268453124427693764 446885265409643759822 88036397287015566495200 ', 'curves': ['y^2=16*x^6+146*x^5+10*x^4+196*x^3+76*x^2+26*x+41', 'y^2=91*x^6+94*x^5+183*x^4+9*x^3+35*x^2+111*x+46', 'y^2=14*x^6+87*x^5+132*x^4+6*x^3+41*x^2+169*x+9', 'y^2=114*x^6+88*x^5+144*x^4+104*x^3+131*x^2+64*x+188'], '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, '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': ['4.0.542736.2'], 'geometric_splitting_field': '4.0.542736.2', 'geometric_splitting_polynomials': [[277, -78, 53, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 4, 'label': '2.197.aca_bpb', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.542736.2'], 'p': 197, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -52, 1067, -10244, 38809], 'poly_str': '1 -52 1067 -10244 38809 ', 'primitive_models': [], 'q': 197, 'real_poly': [1, -52, 673], 'simple_distinct': ['2.197.aca_bpb'], 'simple_factors': ['2.197.aca_bpbA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.542736.2', 'splitting_polynomials': [[277, -78, 53, 0, 1]], 'twist_count': 2, 'twists': [['2.197.ca_bpb', '2.38809.avy_iozj', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.197.aca_bpb', 'extension_degree': 1, 'extension_label': '2.197.aca_bpb', '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': '4.0.542736.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.197.aca_bpb', 'galois_group': '4T3', 'places': [['35845/197', '222/197', '38796/197', '1/197'], ['13', '1', '0', '0']]}