Abelian variety isogeny class data - 3.11.as_fl_axo

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• av_fq_isog •

  Column	Type
  abvar_count	numeric
  abvar_counts	numeric[]
  abvar_counts_str	text
  angle_rank	smallint
  angles	double precision[]
  center_dim	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
  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[]
  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
  jacobian_count	integer
  label	text
  max_divalg_dim	smallint
  max_geom_divalg_dim	smallint
  max_twist_degree	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[]
  size	integer
  slopes	text[]
  splitting_field	text
  splitting_polynomials	numeric[]
  twist_count	integer
  twists	jsonb
  zfv_index	numeric
  zfv_index_factorization	numeric[]
  zfv_is_bass	boolean
  zfv_is_maximal	boolean
  zfv_plus_index	numeric
  zfv_plus_index_factorization	numeric[]
  zfv_plus_norm	numeric

  
  {'abvar_count': 216, 'abvar_counts': [216, 1259712, 2268747144, 3168750108672, 4214318118039576, 5581968754419000000, 7410296971998791645256, 9853478099381345260142592, 13111095803211447966488930904, 17449598901666272811693707765952], 'abvar_counts_str': '216 1259712 2268747144 3168750108672 4214318118039576 5581968754419000000 7410296971998791645256 9853478099381345260142592 13111095803211447966488930904 17449598901666272811693707765952 ', 'angle_rank': 1, 'angles': [0.140218899003772, 0.140218899003772, 0.140218899003772], 'center_dim': 2, 'curve_count': -6, 'curve_counts': [-6, 80, 1278, 14780, 162474, 1778576, 19513614, 214440380, 2358145818, 25937716880], 'curve_counts_str': '-6 80 1278 14780 162474 1778576 19513614 214440380 2358145818 25937716880 ', 'curves': [], 'dim1_distinct': 1, 'dim1_factors': 3, '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': 3, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 3, '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': ['2.0.8.1'], 'geometric_splitting_field': '2.0.8.1', 'geometric_splitting_polynomials': [[2, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'label': '3.11.as_fl_axo', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'number_fields': ['2.0.8.1'], 'p': 11, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -18, 141, -612, 1551, -2178, 1331], 'poly_str': '1 -18 141 -612 1551 -2178 1331 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, -18, 108, -216], 'simple_distinct': ['1.11.ag'], 'simple_factors': ['1.11.agA', '1.11.agB', '1.11.agC'], 'simple_multiplicities': [3], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '2.0.8.1', 'splitting_polynomials': [[2, 0, 1]], 'twist_count': 14, 'twists': [['3.11.ag_ad_dg', '3.121.abq_bkp_atcm', 2], ['3.11.g_ad_adg', '3.121.abq_bkp_atcm', 2], ['3.11.s_fl_xo', '3.121.abq_bkp_atcm', 2], ['3.11.a_a_as', '3.1331.acc_hiz_ainhc', 3], ['3.11.ag_z_adg', '3.14641.fi_cwjn_jblro', 4], ['3.11.g_z_dg', '3.14641.fi_cwjn_jblro', 4], ['3.11.am_cu_akw', '3.1771561.kju_bvnklj_ervhbcye', 6], ['3.11.a_a_s', '3.1771561.kju_bvnklj_ervhbcye', 6], ['3.11.m_cu_kw', '3.1771561.kju_bvnklj_ervhbcye', 6], ['3.11.ak_br_afg', '3.214358881.eqoo_jgmcdgx_kdigyqudbg', 8], ['3.11.ac_af_bo', '3.214358881.eqoo_jgmcdgx_kdigyqudbg', 8], ['3.11.c_af_abo', '3.214358881.eqoo_jgmcdgx_kdigyqudbg', 8], ['3.11.k_br_fg', '3.214358881.eqoo_jgmcdgx_kdigyqudbg', 8]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.11.as_fl_axo', 'extension_degree': 1, 'extension_label': '1.11.ag', 'multiplicity': 3}
• 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']]}