Abelian variety isogeny class data - 2.1024.aer_ill

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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': 930257, 'abvar_counts': [930257, 1096128334899, 1152843814048828148, 1208924587566587439268227, 1267650604462243841032602086297, 1329227997249390063766652713552821504, 1393796574989951564768308392279046174875761, 1461501637334259815975388917555633522130541821123, 1532495540866005481064365841508478940166285214630716116, 1606938044258993836851167708914555814099936558265352980411459], 'abvar_counts_str': '930257 1096128334899 1152843814048828148 1208924587566587439268227 1267650604462243841032602086297 1329227997249390063766652713552821504 1393796574989951564768308392279046174875761 1461501637334259815975388917555633522130541821123 1532495540866005481064365841508478940166285214630716116 1606938044258993836851167708914555814099936558265352980411459 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0734698624278955, 0.130488439580653], 'center_dim': 4, 'curve_count': 904, 'curve_counts': [904, 1045346, 1073669467, 1099510507234, 1125899910603184, 1152921505877075855, 1180591620786688110904, 1208925819617405935461250, 1237940039285474481970806091, 1267650600228232210874306919986], 'curve_counts_str': '904 1045346 1073669467 1099510507234 1125899910603184 1152921505877075855 1180591620786688110904 1208925819617405935461250 1237940039285474481970806091 1267650600228232210874306919986 ', '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': ['4.0.2618993.1'], 'geometric_splitting_field': '4.0.2618993.1', 'geometric_splitting_polynomials': [[1024, -32, 61, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '2.1024.aer_ill', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.2618993.1'], 'p': 2, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -121, 5705, -123904, 1048576], 'poly_str': '1 -121 5705 -123904 1048576 ', 'primitive_models': [], 'q': 1024, 'real_poly': [1, -121, 3657], 'simple_distinct': ['2.1024.aer_ill'], 'simple_factors': ['2.1024.aer_illA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2618993.1', 'splitting_polynomials': [[1024, -32, 61, -1, 1]], 'twist_count': 2, 'twists': [['2.1024.er_ill', '2.1048576.aeuh_kfcqb', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.1024.aer_ill', 'extension_degree': 1, 'extension_label': '2.1024.aer_ill', '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': '4.0.2618993.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.1024.aer_ill', 'galois_group': '4T3', 'places': [['1', '61/32', '63/32', '1/32'], ['0', '1', '0', '0']]}