Abelian variety isogeny class data - 3.17.au_gw_abjs

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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': 1390, 'abvar_counts': [1390, 20635940, 116056526560, 577733681491200, 2852802639769683950, 14051565675319963182080, 69085302355515995271225710, 339450726757133479180975027200, 1667717059791063184198474216392160, 8193464781434832248200164247934257700], 'abvar_counts_str': '1390 20635940 116056526560 577733681491200 2852802639769683950 14051565675319963182080 69085302355515995271225710 339450726757133479180975027200 1667717059791063184198474216392160 8193464781434832248200164247934257700 ', 'angle_corank': 1, 'angle_rank': 2, 'angles': [0.0157896134133987, 0.0779791303773693, 0.349122946746732], 'center_dim': 6, 'curve_count': -2, 'curve_counts': [-2, 246, 4810, 82818, 1415078, 24117792, 410299286, 6975799682, 118588284490, 2015993668086], 'curve_counts_str': '-2 246 4810 82818 1415078 24117792 410299286 6975799682 118588284490 2015993668086 ', 'curves': [], 'dim1_distinct': 1, 'dim1_factors': 1, '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': 3, 'galois_groups': ['2T1', '4T2'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 6, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.4.1', '2.0.15.1'], 'geometric_splitting_field': '4.0.3600.2', 'geometric_splitting_polynomials': [[16, 0, -7, 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': True, 'is_supersingular': False, 'label': '3.17.au_gw_abjs', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 4, 'newton_elevation': 0, 'number_fields': ['2.0.4.1', '4.0.225.1'], 'p': 17, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -20, 178, -928, 3026, -5780, 4913], 'poly_str': '1 -20 178 -928 3026 -5780 4913 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, -20, 127, -248], 'simple_distinct': ['1.17.ai', '2.17.am_cn'], 'simple_factors': ['1.17.aiA', '2.17.am_cnA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '8.0.12960000.1', 'splitting_polynomials': [[1, 0, -3, 0, 8, 0, -3, 0, 1]], 'twist_count': 16, 'twists': [['3.17.ae_ao_ei', '3.289.abs_xs_ahvy', 2], ['3.17.e_ao_aei', '3.289.abs_xs_ahvy', 2], ['3.17.u_gw_bjs', '3.289.abs_xs_ahvy', 2], ['3.17.ai_bf_aei', '3.4913.aea_agqj_cdpga', 3], ['3.17.e_ao_aei', '3.4913.aea_agqj_cdpga', 3], ['3.17.ao_ec_aus', '3.83521.abbc_phvk_ahbpubq', 4], ['3.17.ak_cg_aks', '3.83521.abbc_phvk_ahbpubq', 4], ['3.17.k_cg_ks', '3.83521.abbc_phvk_ahbpubq', 4], ['3.17.o_ec_us', '3.83521.abbc_phvk_ahbpubq', 4], ['3.17.i_bf_ei', '3.24137569.abdgs_pchdpv_aeztoymtei', 6], ['3.17.ai_d_ei', '3.582622237229761.actlpow_adceqobugden_wjqxxzcbvlvczbiq', 12], ['3.17.ac_d_bc', '3.582622237229761.actlpow_adceqobugden_wjqxxzcbvlvczbiq', 12], ['3.17.ac_bf_abc', '3.582622237229761.actlpow_adceqobugden_wjqxxzcbvlvczbiq', 12], ['3.17.c_d_abc', '3.582622237229761.actlpow_adceqobugden_wjqxxzcbvlvczbiq', 12], ['3.17.c_bf_bc', '3.582622237229761.actlpow_adceqobugden_wjqxxzcbvlvczbiq', 12], ['3.17.i_d_aei', '3.582622237229761.actlpow_adceqobugden_wjqxxzcbvlvczbiq', 12]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 1716770
    {'base_label': '3.17.au_gw_abjs', 'extension_degree': 1, 'extension_label': '1.17.ai', 'multiplicity': 1}
  • id: 1716771
    {'base_label': '3.17.au_gw_abjs', 'extension_degree': 1, 'extension_label': '2.17.am_cn', 'multiplicity': 1}
  • id: 1716772
    {'base_label': '3.17.au_gw_abjs', 'extension_degree': 2, 'extension_label': '1.289.abe', 'multiplicity': 1}
  • id: 1716773
    {'base_label': '3.17.au_gw_abjs', 'extension_degree': 2, 'extension_label': '2.289.ao_adp', 'multiplicity': 1}
  • id: 1716774
    {'base_label': '3.17.au_gw_abjs', 'extension_degree': 3, 'extension_label': '1.4913.aea', 'multiplicity': 1}
  • id: 1716775
    {'base_label': '3.17.au_gw_abjs', 'extension_degree': 3, 'extension_label': '2.4913.a_anxi', 'multiplicity': 1}
  • id: 1716776
    {'base_label': '3.17.au_gw_abjs', 'extension_degree': 6, 'extension_label': '1.24137569.anxi', 'multiplicity': 2}
  • id: 1716777
    {'base_label': '3.17.au_gw_abjs', 'extension_degree': 6, 'extension_label': '1.24137569.abmc', '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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.ai', 'galois_group': '2T1', 'places': [['13', '1'], ['4', '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': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.am_cn', 'galois_group': '4T2', 'places': [['11', '9', '9', '4'], ['11', '5', '14', '10']]}
• 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': '1.289.abe', 'galois_group': '2T1', 'places': [['13', '1'], ['4', '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': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.289.ao_adp', 'galois_group': '4T2', 'places': [['11', '9', '9', '4'], ['11', '5', '14', '10']]}
• 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': '1.4913.aea', 'galois_group': '2T1', 'places': [['13', '1'], ['4', '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': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.4913.a_anxi', 'galois_group': '4T2', 'places': [['11', '9', '9', '4'], ['11', '5', '14', '10']]}
• 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': '2.0.15.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.24137569.anxi', 'galois_group': '2T1', 'places': [['5', '1'], ['11', '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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.24137569.abmc', 'galois_group': '2T1', 'places': [['13', '1'], ['4', '1']]}