Abelian variety isogeny class data - 2.59.abe_nf

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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': 2025, 'abvar_counts': [2025, 11390625, 41885715600, 146721740765625, 511081259355275625, 1779188337541476000000, 6193385466525346364568225, 21559178611542356580009515625, 75047497773274099190681894336400, 261240336336245166065781281337890625], 'abvar_counts_str': '2025 11390625 41885715600 146721740765625 511081259355275625 1779188337541476000000 6193385466525346364568225 21559178611542356580009515625 75047497773274099190681894336400 261240336336245166065781281337890625 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0692665268585578, 0.0692665268585578], 'center_dim': 2, 'curve_count': 30, 'curve_counts': [30, 3268, 203940, 12108388, 714874650, 42180318358, 2488651184910, 146830445807428, 8662995959396220, 511116754927777348], 'curve_counts_str': '30 3268 203940 12108388 714874650 42180318358 2488651184910 146830445807428 8662995959396220 511116754927777348 ', 'curves': ['y^2=47*x^6+8*x^5+52*x^4+17*x^3+13*x^2+30*x+33'], 'dim1_distinct': 1, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 2, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.11.1'], 'geometric_splitting_field': '2.0.11.1', 'geometric_splitting_polynomials': [[3, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 1, 'label': '2.59.abe_nf', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.11.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -30, 343, -1770, 3481], 'poly_str': '1 -30 343 -1770 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, -30, 225], 'simple_distinct': ['1.59.ap'], 'simple_factors': ['1.59.apA', '1.59.apB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.11.1', 'splitting_polynomials': [[3, -1, 1]], 'twist_count': 6, 'twists': [['2.59.a_aed', '2.3481.aig_bbgd', 2], ['2.59.be_nf', '2.3481.aig_bbgd', 2], ['2.59.p_gk', '2.205379.acdk_cawmw', 3], ['2.59.a_ed', '2.12117361.anhe_dtcizj', 4], ['2.59.ap_gk', '2.42180533641.amgme_lypmpnec', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.59.abe_nf', 'extension_degree': 1, 'extension_label': '1.59.ap', 'multiplicity': 2}
• 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': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.ap', 'galois_group': '2T1', 'places': [['51', '1'], ['7', '1']]}