Abelian variety isogeny class data - 3.11.ac_i_p

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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': 1199, 'abvar_counts': [1199, 1986743, 2513153159, 3237558644683, 4151816071740469, 5558538156954272567, 7399574572444060981711, 9848775406235879401892307, 13110343492408031116614504896, 17449074799068767704936138021343], 'abvar_counts_str': '1199 1986743 2513153159 3237558644683 4151816071740469 5558538156954272567 7399574572444060981711 9848775406235879401892307 13110343492408031116614504896 17449074799068767704936138021343 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.25288826678762, 0.378179257950064, 0.781037692138596], 'center_dim': 6, 'curve_count': 10, 'curve_counts': [10, 134, 1417, 15098, 160070, 1771121, 19485392, 214338050, 2358010516, 25936937834], 'curve_counts_str': '10 134 1417 15098 160070 1771121 19485392 214338050 2358010516 25936937834 ', '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': ['6.0.31633587.1'], 'geometric_splitting_field': '6.0.31633587.1', 'geometric_splitting_polynomials': [[67, -21, 53, -10, 10, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 0, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.11.ac_i_p', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['6.0.31633587.1'], 'p': 11, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -2, 8, 15, 88, -242, 1331], 'poly_str': '1 -2 8 15 88 -242 1331 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, -2, -25, 59], 'simple_distinct': ['3.11.ac_i_p'], 'simple_factors': ['3.11.ac_i_pA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.31633587.1', 'splitting_polynomials': [[67, -21, 53, -10, 10, -1, 1]], 'twist_count': 2, 'twists': [['3.11.c_i_ap', '3.121.m_lo_egr', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.11.ac_i_p', 'extension_degree': 1, 'extension_label': '3.11.ac_i_p', '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': '6.0.31633587.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.11.ac_i_p', 'galois_group': '6T11', 'places': [['8', '1', '0', '0', '0', '0'], ['10', '2', '1', '0', '0', '0'], ['10', '1', '0', '0', '0', '0'], ['7', '1', '1', '0', '0', '0']]}