Abelian variety isogeny class data - 2.13.am_ck

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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': 64, 'abvar_counts': [64, 25600, 4910656, 829440000, 138747310144, 23337401574400, 3938493262997056, 665417390653440000, 112453014483578818624, 19004775447137357440000], 'abvar_counts_str': '64 25600 4910656 829440000 138747310144 23337401574400 3938493262997056 665417390653440000 112453014483578818624 19004775447137357440000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.187167041810999, 0.187167041810999], 'center_dim': 2, 'curve_count': 2, 'curve_counts': [2, 150, 2234, 29038, 373682, 4834950, 62766314, 815731678, 10604273762, 137857125750], 'curve_counts_str': '2 150 2234 29038 373682 4834950 62766314 815731678 10604273762 137857125750 ', 'curves': ['y^2=6*x^6+4*x^4+4*x^2+6'], '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': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 1, 'label': '2.13.am_ck', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.4.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -12, 62, -156, 169], 'poly_str': '1 -12 62 -156 169 ', 'primitive_models': [], 'q': 13, 'real_poly': [1, -12, 36], 'simple_distinct': ['1.13.ag'], 'simple_factors': ['1.13.agA', '1.13.agB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.13.a_ak', '2.169.au_qw', 2], ['2.13.m_ck', '2.169.au_qw', 2], ['2.13.g_x', '2.2197.bk_gzm', 3], ['2.13.ak_by', '2.28561.si_gmhq', 4], ['2.13.ai_bq', '2.28561.si_gmhq', 4], ['2.13.ac_c', '2.28561.si_gmhq', 4], ['2.13.a_k', '2.28561.si_gmhq', 4], ['2.13.c_c', '2.28561.si_gmhq', 4], ['2.13.i_bq', '2.28561.si_gmhq', 4], ['2.13.k_by', '2.28561.si_gmhq', 4], ['2.13.ag_x', '2.4826809.mbc_cfjsuo', 6], ['2.13.a_ay', '2.815730721.bku_fhiqgmw', 8], ['2.13.a_y', '2.815730721.bku_fhiqgmw', 8], ['2.13.ae_d', '2.23298085122481.abeglpc_rjwnwmwwio', 12], ['2.13.e_d', '2.23298085122481.abeglpc_rjwnwmwwio', 12]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.13.am_ck', 'extension_degree': 1, 'extension_label': '1.13.ag', '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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.13.ag', 'galois_group': '2T1', 'places': [['5', '1'], ['8', '1']]}