Abelian variety isogeny class data - 4.4.ak_bv_afm_mi

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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': 16, 'abvar_counts': [16, 43776, 13256656, 3979238400, 1187129465776, 290197956738816, 70726173561821584, 18230943776653209600, 4711675874360966273392, 1205535527520659045035776], 'abvar_counts_str': '16 43776 13256656 3979238400 1187129465776 290197956738816 70726173561821584 18230943776653209600 4711675874360966273392 1205535527520659045035776 ', 'angle_rank': 3, 'angles': [0.0, 0.0, 0.150432950460069, 0.230053456162616, 0.544835058381652], 'center_dim': 7, 'curve_count': -5, 'curve_counts': [-5, 11, 49, 239, 1105, 4223, 16081, 64767, 261553, 1045631], 'curve_counts_str': '-5 11 49 239 1105 4223 16081 64767 261553 1045631 ', 'dim1_distinct': 2, 'dim1_factors': 2, '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': 4, 'galois_groups': ['1T1', '2T1', '4T3'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 2, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 7, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['1T1', '2T1', '4T3'], 'geometric_number_fields': ['1.1.1.1', '2.0.7.1', '4.0.3757.1'], 'geometric_splitting_field': '8.0.19818163729.1', 'geometric_splitting_polynomials': [[36, 6, -31, -38, 32, -10, 10, -2, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'label': '4.4.ak_bv_afm_mi', 'max_divalg_dim': 4, 'max_geom_divalg_dim': 4, 'max_twist_degree': 6, 'number_fields': ['1.1.1.1', '2.0.7.1', '4.0.3757.1'], 'p': 2, 'p_rank': 2, 'p_rank_deficit': 2, 'poly': [1, -10, 47, -142, 320, -568, 752, -640, 256], 'poly_str': '1 -10 47 -142 320 -568 752 -640 256 ', 'primitive_models': [], 'q': 4, 'real_poly': [1, -10, 31, -22, -24], 'simple_distinct': ['1.4.ae', '1.4.ad', '2.4.ad_g'], 'simple_factors': ['1.4.aeA', '1.4.adA', '2.4.ad_gA'], 'simple_multiplicities': [1, 1, 1], 'slopes': ['0A', '0B', '1/2A', '1/2B', '1/2C', '1/2D', '1A', '1B'], 'splitting_field': '8.0.19818163729.1', 'splitting_polynomials': [[36, 6, -31, -38, 32, -10, 10, -2, 1]], 'twist_count': 20, 'twists': [['4.4.ae_f_ak_bg', '4.16.ag_j_ci_ats', 2], ['4.4.ae_f_c_aq', '4.16.ag_j_ci_ats', 2], ['4.4.ac_ab_k_aq', '4.16.ag_j_ci_ats', 2], ['4.4.c_ab_ak_aq', '4.16.ag_j_ci_ats', 2], ['4.4.e_f_ac_aq', '4.16.ag_j_ci_ats', 2], ['4.4.e_f_k_bg', '4.16.ag_j_ci_ats', 2], ['4.4.k_bv_fm_mi', '4.16.ag_j_ci_ats', 2], ['4.4.ae_l_abc_cq', '4.64.aq_hj_acuq_uqq', 3], ['4.4.ag_x_aco_fw', '4.256.as_aip_exk_bkjg', 4], ['4.4.a_f_ag_i', '4.256.as_aip_exk_bkjg', 4], ['4.4.a_f_g_i', '4.256.as_aip_exk_bkjg', 4], ['4.4.g_x_co_fw', '4.256.as_aip_exk_bkjg', 4], ['4.4.ai_bj_aea_jc', '4.4096.ew_fwr_abeodk_afiuacm', 6], ['4.4.ac_f_ai_u', '4.4096.ew_fwr_abeodk_afiuacm', 6], ['4.4.ac_f_e_ae', '4.4096.ew_fwr_abeodk_afiuacm', 6], ['4.4.c_f_ae_ae', '4.4096.ew_fwr_abeodk_afiuacm', 6], ['4.4.c_f_i_u', '4.4096.ew_fwr_abeodk_afiuacm', 6], ['4.4.e_l_bc_cq', '4.4096.ew_fwr_abeodk_afiuacm', 6], ['4.4.i_bj_ea_jc', '4.4096.ew_fwr_abeodk_afiuacm', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 2679142
    {'base_label': '4.4.ak_bv_afm_mi', 'extension_degree': 1, 'extension_label': '1.4.ae', 'multiplicity': 1}
  • id: 2679143
    {'base_label': '4.4.ak_bv_afm_mi', 'extension_degree': 1, 'extension_label': '1.4.ad', 'multiplicity': 1}
  • id: 2679144
    {'base_label': '4.4.ak_bv_afm_mi', 'extension_degree': 1, 'extension_label': '2.4.ad_g', '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': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.4.ae', 'galois_group': '1T1', 'places': [['0']]}
• 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': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.ad', 'galois_group': '2T1', 'places': [['0', '1'], ['1', '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'], 'center': '4.0.3757.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.4.ad_g', 'galois_group': '4T3', 'places': [['0', '1', '0', '0'], ['1', '1', '1', '0'], ['1', '1', '0', '0']]}