Abelian variety isogeny class data - 4.5.am_cs_akb_bak

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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': 54, 'abvar_counts': [54, 335340, 265153824, 152646768000, 96425619575904, 60878289193562880, 37608663565748948454, 23298326743389451200000, 14551714461451081885255584, 9103624378553472574290739200], 'abvar_counts_str': '54 335340 265153824 152646768000 96425619575904 60878289193562880 37608663565748948454 23298326743389451200000 14551714461451081885255584 9103624378553472574290739200 ', 'angle_rank': 4, 'angles': [0.0878807261908105, 0.147583617650433, 0.26594214021463, 0.450170915301056], 'center_dim': 8, 'curve_count': -6, 'curve_counts': [-6, 22, 135, 626, 3159, 15955, 78870, 390882, 1953099, 9774937], 'curve_counts_str': '-6 22 135 626 3159 15955 78870 390882 1953099 9774937 ', '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': ['2T1', '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': 8, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1', '4T3'], 'geometric_number_fields': ['2.0.4.1', '2.0.11.1', '4.0.4901.1'], 'geometric_splitting_polynomials': [[222093, 185370, -117254, -116938, 14239, 42320, 2534, -11968, 746, 522, 890, -584, 158, -56, 28, -8, 1]], 'has_geom_ss_factor': False, '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': '4.5.am_cs_akb_bak', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'number_fields': ['2.0.4.1', '2.0.11.1', '4.0.4901.1'], 'p': 5, 'p_rank': 4, 'p_rank_deficit': 0, 'poly': [1, -12, 70, -261, 686, -1305, 1750, -1500, 625], 'poly_str': '1 -12 70 -261 686 -1305 1750 -1500 625 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, -12, 50, -81, 36], 'simple_distinct': ['1.5.ae', '1.5.ad', '2.5.af_n'], 'simple_factors': ['1.5.aeA', '1.5.adA', '2.5.af_nA'], 'simple_multiplicities': [1, 1, 1], 'slopes': ['0A', '0B', '0C', '0D', '1A', '1B', '1C', '1D'], 'splitting_polynomials': [[222093, 185370, -117254, -116938, 14239, 42320, 2534, -11968, 746, 522, 890, -584, 158, -56, 28, -8, 1]], 'twist_count': 16, 'twists': [['4.5.ag_q_abh_cw', '4.25.ae_i_dv_aoa', 2], ['4.5.ae_g_d_aba', '4.25.ae_i_dv_aoa', 2], ['4.5.ac_a_j_ao', '4.25.ae_i_dv_aoa', 2], ['4.5.c_a_aj_ao', '4.25.ae_i_dv_aoa', 2], ['4.5.e_g_ad_aba', '4.25.ae_i_dv_aoa', 2], ['4.5.g_q_bh_cw', '4.25.ae_i_dv_aoa', 2], ['4.5.m_cs_kb_bak', '4.25.ae_i_dv_aoa', 2], ['4.5.ak_cc_ahn_to', '4.625.a_ey_uzf_fme', 4], ['4.5.ag_w_acl_fw', '4.625.a_ey_uzf_fme', 4], ['4.5.ae_m_abb_ca', '4.625.a_ey_uzf_fme', 4], ['4.5.a_e_ap_i', '4.625.a_ey_uzf_fme', 4], ['4.5.a_e_p_i', '4.625.a_ey_uzf_fme', 4], ['4.5.e_m_bb_ca', '4.625.a_ey_uzf_fme', 4], ['4.5.g_w_cl_fw', '4.625.a_ey_uzf_fme', 4], ['4.5.k_cc_hn_to', '4.625.a_ey_uzf_fme', 4]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 2870073
    {'base_label': '4.5.am_cs_akb_bak', 'extension_degree': 1, 'extension_label': '1.5.ae', 'multiplicity': 1}
  • id: 2870074
    {'base_label': '4.5.am_cs_akb_bak', 'extension_degree': 1, 'extension_label': '1.5.ad', 'multiplicity': 1}
  • id: 2870075
    {'base_label': '4.5.am_cs_akb_bak', 'extension_degree': 1, 'extension_label': '2.5.af_n', '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': '1.5.ae', 'galois_group': '2T1', 'places': [['3', '1'], ['2', '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': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.5.ad', 'galois_group': '2T1', 'places': [['3', '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'], 'center': '4.0.4901.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.5.af_n', 'galois_group': '4T3', 'places': [['1', '1', '1', '0'], ['3', '2', '1', '0']]}