Abelian variety isogeny class data - 3.13.ap_eg_atc

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• av_fq_isog •

  Column	Type
  abvar_count	numeric
  abvar_counts	numeric[]
  abvar_counts_str	text
  angle_rank	smallint
  angles	double precision[]
  center_dim	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
  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[]
  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
  jacobian_count	integer
  label	text
  max_divalg_dim	smallint
  max_geom_divalg_dim	smallint
  max_twist_degree	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[]
  size	integer
  slopes	text[]
  splitting_field	text
  splitting_polynomials	numeric[]
  twist_count	integer
  twists	jsonb
  zfv_index	numeric
  zfv_index_factorization	numeric[]
  zfv_is_bass	boolean
  zfv_is_maximal	boolean
  zfv_plus_index	numeric
  zfv_plus_index_factorization	numeric[]
  zfv_plus_norm	numeric

  
  {'abvar_count': 692, 'abvar_counts': [692, 4694528, 11023593908, 23408287410176, 51013925488225472, 112265907265155318272, 246978771567299420628692, 542792262946231369189203968, 1192545125878570895730884198324, 2620002402814583034388045374291968], 'abvar_counts_str': '692 4694528 11023593908 23408287410176 51013925488225472 112265907265155318272 246978771567299420628692 542792262946231369189203968 1192545125878570895730884198324 2620002402814583034388045374291968 ', 'angle_rank': 3, 'angles': [0.0520504550069439, 0.271344466885182, 0.356632440861114], 'center_dim': 6, 'curve_count': -1, 'curve_counts': [-1, 165, 2285, 28697, 370044, 4818669, 62726733, 815717937, 10604604599, 137858847500], 'curve_counts_str': '-1 165 2285 28697 370044 4818669 62726733 815717937 10604604599 137858847500 ', 'curves': [], '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': ['6T11'], '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': ['6T11'], 'geometric_number_fields': ['6.0.5611187.1'], 'geometric_splitting_field': '6.0.5611187.1', 'geometric_splitting_polynomials': [[4, -11, 18, -15, 10, -3, 1]], 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'label': '3.13.ap_eg_atc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['6.0.5611187.1'], 'p': 13, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -15, 110, -496, 1430, -2535, 2197], 'poly_str': '1 -15 110 -496 1430 -2535 2197 ', 'primitive_models': [], 'q': 13, 'real_poly': [1, -15, 71, -106], 'simple_distinct': ['3.13.ap_eg_atc'], 'simple_factors': ['3.13.ap_eg_atcA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.5611187.1', 'splitting_polynomials': [[4, -11, 18, -15, 10, -3, 1]], 'twist_count': 2, 'twists': [['3.13.p_eg_tc', '3.169.af_dc_aeoe', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.13.ap_eg_atc', 'extension_degree': 1, 'extension_label': '3.13.ap_eg_atc', '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': '6.0.5611187.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.13.ap_eg_atc', 'galois_group': '6T11', 'places': [['8', '1', '0', '0', '0', '0'], ['2', '6', '1', '0', '0', '0'], ['4', '1', '0', '0', '0', '0'], ['9', '5', '1', '0', '0', '0']]}