Abelian variety isogeny class data - 4.3.a_ai_a_bi

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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': 36, 'abvar_counts': [36, 1296, 599076, 49787136, 3514829796, 358892053776, 22838210176356, 2039281090560000, 150086078850026916, 12354028494849401616], 'abvar_counts_str': '36 1296 599076 49787136 3514829796 358892053776 22838210176356 2039281090560000 150086078850026916 12354028494849401616 ', 'angle_corank': 3, 'angle_rank': 1, 'angles': [0.133860236400615, 0.133860236400615, 0.866139763599385, 0.866139763599385], 'center_dim': 4, 'curve_count': 4, 'curve_counts': [4, -6, 28, 90, 244, 906, 2188, 7194, 19684, 59994], 'curve_counts_str': '4 -6 28 90 244 906 2188 7194 19684 59994 ', 'curves': [], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 2, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 4, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 4, '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.20.1'], 'geometric_splitting_field': '2.0.20.1', 'geometric_splitting_polynomials': [[5, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, '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': 0, 'label': '4.3.a_ai_a_bi', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 40, 'newton_coelevation': 6, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], 'number_fields': ['4.0.6400.1'], 'p': 3, 'p_rank': 4, 'p_rank_deficit': 0, 'poly': [1, 0, -8, 0, 34, 0, -72, 0, 81], 'poly_str': '1 0 -8 0 34 0 -72 0 81 ', 'primitive_models': [], 'q': 3, 'real_poly': [1, 0, -20, 0, 100], 'simple_distinct': ['2.3.a_ae'], 'simple_factors': ['2.3.a_aeA', '2.3.a_aeB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '0C', '0D', '1A', '1B', '1C', '1D'], 'splitting_field': '4.0.6400.1', 'splitting_polynomials': [[9, 0, -4, 0, 1]], 'twist_count': 18, 'twists': [['4.3.a_e_a_h', '4.27.a_dk_a_fao', 3], ['4.3.a_a_a_c', '4.81.i_nk_cya_cmag', 4], ['4.3.a_i_a_bi', '4.81.i_nk_cya_cmag', 4], ['4.3.a_e_a_h', '4.729.gu_vmy_bphlo_caggxi', 6], ['4.3.ae_i_au_bu', '4.6561.yi_kaki_cjtkzo_jfpzgly', 8], ['4.3.ac_ac_c_k', '4.6561.yi_kaki_cjtkzo_jfpzgly', 8], ['4.3.ac_g_ao_ba', '4.6561.yi_kaki_cjtkzo_jfpzgly', 8], ['4.3.a_a_a_ac', '4.6561.yi_kaki_cjtkzo_jfpzgly', 8], ['4.3.c_ac_ac_k', '4.6561.yi_kaki_cjtkzo_jfpzgly', 8], ['4.3.c_g_o_ba', '4.6561.yi_kaki_cjtkzo_jfpzgly', 8], ['4.3.e_i_u_bu', '4.6561.yi_kaki_cjtkzo_jfpzgly', 8], ['4.3.a_ae_a_h', '4.531441.acvo_hqypg_alhirnqm_pixkpjela', 12], ['4.3.ac_c_i_ar', '4.282429536481.hhxgy_zktordfsm_cbzoykbilqxkea_cyfeducceuxytbndis', 24], ['4.3.c_c_ai_ar', '4.282429536481.hhxgy_zktordfsm_cbzoykbilqxkea_cyfeducceuxytbndis', 24], ['4.3.ag_n_ak_b', '4.12157665459056928801.bnwtznue_bqnwvljtpdplivs_bckpjazmxfbacsdullppho_otkytiootbceqkiopazzlcafnpna', 40], ['4.3.ae_n_abe_cj', '4.12157665459056928801.bnwtznue_bqnwvljtpdplivs_bckpjazmxfbacsdullppho_otkytiootbceqkiopazzlcafnpna', 40], ['4.3.e_n_be_cj', '4.12157665459056928801.bnwtznue_bqnwvljtpdplivs_bckpjazmxfbacsdullppho_otkytiootbceqkiopazzlcafnpna', 40], ['4.3.g_n_k_b', '4.12157665459056928801.bnwtznue_bqnwvljtpdplivs_bckpjazmxfbacsdullppho_otkytiootbceqkiopazzlcafnpna', 40]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 2602280
    {'base_label': '4.3.a_ai_a_bi', 'extension_degree': 1, 'extension_label': '2.3.a_ae', 'multiplicity': 2}
  • id: 2602281
    {'base_label': '4.3.a_ai_a_bi', 'extension_degree': 2, 'extension_label': '1.9.ae', 'multiplicity': 4}
• 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[]

  
  
  • id: 6347
    {'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.6400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.a_ae', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['2', '1', '0', '0'], ['2', '1/3', '1', '8/3'], ['1', '4/3', '0', '8/3']]}
  • id: 1239185
    {'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.6400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.a_ae', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['2', '1', '0', '0'], ['2', '7/3', '1', '8/3'], ['1', '1/3', '2', '8/3']]}
  • id: 2213299
    {'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.6400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.a_ae', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['2', '1', '0', '0'], ['2', '4/3', '0', '8/3'], ['2', '5/3', '2', '1/3']]}
  • id: 2561279
    {'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.6400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.a_ae', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['2', '1', '0', '0'], ['2', '4/3', '2', '8/3'], ['2', '5/3', '2', '1/3']]}
  • id: 2561464
    {'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.6400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.a_ae', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['2', '1', '0', '0'], ['2', '4/3', '0', '8/3'], ['1', '7/3', '2', '8/3']]}
• 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': '2.0.20.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.9.ae', 'galois_group': '2T1', 'places': [['1', '1'], ['2', '1']]}