Abelian variety isogeny class data - 3.11.an_de_amq

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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': 402, 'abvar_counts': [402, 1700460, 2392432650, 3133376425440, 4190280502943712, 5579403547120087500, 7409873172991497980082, 9851641407925845940978560, 13109892206636867082884429850, 17449331194613322517763378304000], 'abvar_counts_str': '402 1700460 2392432650 3133376425440 4190280502943712 5579403547120087500 7409873172991497980082 9851641407925845940978560 13109892206636867082884429850 17449331194613322517763378304000 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.140218899003772, 0.162126013132009, 0.441671623733772], 'center_dim': 6, 'curve_count': -1, 'curve_counts': [-1, 117, 1349, 14617, 161554, 1777761, 19512499, 214400417, 2357929349, 25937318952], 'curve_counts_str': '-1 117 1349 14617 161554 1777761 19512499 214400417 2357929349 25937318952 ', 'curves': [], 'dim1_distinct': 1, 'dim1_factors': 1, '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': 3, 'galois_groups': ['2T1', '4T3'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 1, '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': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '4T3'], 'geometric_number_fields': ['2.0.8.1', '4.0.196245.1'], 'geometric_splitting_polynomials': [[1075, 1790, 523, -16, 255, -8, 31, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.11.an_de_amq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.8.1', '4.0.196245.1'], 'p': 11, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -13, 82, -328, 902, -1573, 1331], 'poly_str': '1 -13 82 -328 902 -1573 1331 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, -13, 49, -42], 'simple_distinct': ['1.11.ag', '2.11.ah_bd'], 'simple_factors': ['1.11.agA', '2.11.ah_bdA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_polynomials': [[1075, 1790, 523, -16, 255, -8, 31, -2, 1]], 'twist_count': 4, 'twists': [['3.11.ab_ac_u', '3.121.af_a_ddc', 2], ['3.11.b_ac_au', '3.121.af_a_ddc', 2], ['3.11.n_de_mq', '3.121.af_a_ddc', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 1455819
    {'base_label': '3.11.an_de_amq', 'extension_degree': 1, 'extension_label': '1.11.ag', 'multiplicity': 1}
  • id: 1455820
    {'base_label': '3.11.an_de_amq', 'extension_degree': 1, 'extension_label': '2.11.ah_bd', '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': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.ag', 'galois_group': '2T1', 'places': [['8', '1'], ['3', '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': '4.0.196245.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.ah_bd', 'galois_group': '4T3', 'places': [['39/11', '13/11', '1/11', '1/11'], ['9', '1', '0', '0']]}