Abelian variety isogeny class data - 4.2.af_p_abg_bz

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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': 2, 'abvar_counts': [2, 568, 5894, 32944, 563662, 11717272, 221647232, 4383989856, 78449417018, 1111115335528], 'abvar_counts_str': '2 568 5894 32944 563662 11717272 221647232 4383989856 78449417018 1111115335528 ', 'angle_corank': 3, 'angle_rank': 1, 'angles': [0.0435981566527365, 0.329312442367022, 0.384973271918692, 0.527830414775835], 'center_dim': 8, 'cohen_macaulay_max': 1, 'curve_count': -2, 'curve_counts': [-2, 10, 13, 6, 13, 43, 103, 262, 580, 1035], 'curve_counts_str': '-2 10 13 6 13 43 103 262 580 1035 ', 'curves': [], 'dim1_distinct': 1, 'dim1_factors': 1, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 1, 'g': 4, 'galois_groups': ['2T1', '6T1'], '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': 14, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'group_structure_count': 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, 'jacobian_count': 0, 'label': '4.2.af_p_abg_bz', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 84, 'newton_coelevation': 6, 'newton_elevation': 0, 'number_fields': ['2.0.7.1', '6.0.16807.1'], 'p': 2, 'p_rank': 4, 'p_rank_deficit': 0, 'poly': [1, -5, 15, -32, 51, -64, 60, -40, 16], 'poly_str': '1 -5 15 -32 51 -64 60 -40 16 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, -5, 7, -2, -1], 'simple_distinct': ['1.2.ab', '3.2.ae_j_ap'], 'simple_factors': ['1.2.abA', '3.2.ae_j_apA'], 'simple_multiplicities': [1, 1], 'singular_primes': [], 'slopes': ['0A', '0B', '0C', '0D', '1A', '1B', '1C', '1D'], 'splitting_field': '6.0.16807.1', 'splitting_polynomials': [[1, -1, 1, -1, 1, -1, 1]], 'twist_count': 32, 'twists': [['4.2.ad_h_ao_v', '4.4.f_h_ao_acl', 2], ['4.2.d_h_o_v', '4.4.f_h_ao_acl', 2], ['4.2.f_p_bg_bz', '4.4.f_h_ao_acl', 2], ['4.2.c_b_d_j', '4.128.aba_ts_aiha_dzel', 7], ['4.2.c_i_k_x', '4.128.aba_ts_aiha_dzel', 7], ['4.2.ae_h_ah_h', '4.16384.nk_gidi_brfbou_kfqirdp', 14], ['4.2.ae_o_abc_bx', '4.16384.nk_gidi_brfbou_kfqirdp', 14], ['4.2.ac_b_ad_j', '4.16384.nk_gidi_brfbou_kfqirdp', 14], ['4.2.ac_i_ak_x', '4.16384.nk_gidi_brfbou_kfqirdp', 14], ['4.2.a_g_a_r', '4.16384.nk_gidi_brfbou_kfqirdp', 14], ['4.2.e_h_h_h', '4.16384.nk_gidi_brfbou_kfqirdp', 14], ['4.2.e_o_bc_bx', '4.16384.nk_gidi_brfbou_kfqirdp', 14], ['4.2.ab_c_af_f', '4.2097152.iha_sjheu_abbnkmxza_agjwujknnft', 21], ['4.2.ac_c_c_ah', '4.268435456.ftcu_pvayrwg_batfdowxxke_beeylufrsdrsdt', 28], ['4.2.a_ag_a_r', '4.268435456.ftcu_pvayrwg_batfdowxxke_beeylufrsdrsdt', 28], ['4.2.a_a_a_ab', '4.268435456.ftcu_pvayrwg_batfdowxxke_beeylufrsdrsdt', 28], ['4.2.c_c_ac_ah', '4.268435456.ftcu_pvayrwg_batfdowxxke_beeylufrsdrsdt', 28], ['4.2.ad_g_aj_l', '4.4398046511104.abfriqm_rshjnwschy_afxhkxomaoissdcu_bheqqprsroofnyeeffqf', 42], ['4.2.ac_ab_ac_n', '4.4398046511104.abfriqm_rshjnwschy_afxhkxomaoissdcu_bheqqprsroofnyeeffqf', 42], ['4.2.ab_c_f_af', '4.4398046511104.abfriqm_rshjnwschy_afxhkxomaoissdcu_bheqqprsroofnyeeffqf', 42], ['4.2.a_ad_a_f', '4.4398046511104.abfriqm_rshjnwschy_afxhkxomaoissdcu_bheqqprsroofnyeeffqf', 42], ['4.2.b_c_af_af', '4.4398046511104.abfriqm_rshjnwschy_afxhkxomaoissdcu_bheqqprsroofnyeeffqf', 42], ['4.2.b_c_f_f', '4.4398046511104.abfriqm_rshjnwschy_afxhkxomaoissdcu_bheqqprsroofnyeeffqf', 42], ['4.2.c_ab_c_n', '4.4398046511104.abfriqm_rshjnwschy_afxhkxomaoissdcu_bheqqprsroofnyeeffqf', 42], ['4.2.d_g_j_l', '4.4398046511104.abfriqm_rshjnwschy_afxhkxomaoissdcu_bheqqprsroofnyeeffqf', 42], ['4.2.a_a_a_b', '4.72057594037927936.abhawdyy_dqgyuveeomwgs_adaeeruxqlykwnfolfse_eizkqavacbrsrynvkobqexxlp', 56], ['4.2.ab_ab_d_ab', '4.1180591620717411303424.bhuarzlse_tgwmrypmqnrcksru_ghxdbsxpfwnoeqofyjamxuqu_bhqtddcdooolbhkxdjsnenhkkmlttdbt', 70], ['4.2.b_ab_ad_ab', '4.1180591620717411303424.bhuarzlse_tgwmrypmqnrcksru_ghxdbsxpfwnoeqofyjamxuqu_bhqtddcdooolbhkxdjsnenhkkmlttdbt', 70], ['4.2.ab_ae_b_l', '4.19342813113834066795298816.adefkpgvqjs_gjsnnxdnrqvsibinywc_aifewhdheyisrvpsxtakuujxdqnzw_hxfwqhratfprvarkuxiqtyszgqvyxxayhsokf', 84], ['4.2.a_d_a_f', '4.19342813113834066795298816.adefkpgvqjs_gjsnnxdnrqvsibinywc_aifewhdheyisrvpsxtakuujxdqnzw_hxfwqhratfprvarkuxiqtyszgqvyxxayhsokf', 84], ['4.2.b_ae_ab_l', '4.19342813113834066795298816.adefkpgvqjs_gjsnnxdnrqvsibinywc_aifewhdheyisrvpsxtakuujxdqnzw_hxfwqhratfprvarkuxiqtyszgqvyxxayhsokf', 84]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 49, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 2577386
    {'base_label': '4.2.af_p_abg_bz', 'extension_degree': 1, 'extension_label': '1.2.ab', 'multiplicity': 1}
  • id: 2577387
    {'base_label': '4.2.af_p_abg_bz', 'extension_degree': 1, 'extension_label': '3.2.ae_j_ap', 'multiplicity': 1}
  • id: 2577388
    {'base_label': '4.2.af_p_abg_bz', 'extension_degree': 2, 'extension_label': '1.4.d', 'multiplicity': 1}
  • id: 2577389
    {'base_label': '4.2.af_p_abg_bz', 'extension_degree': 2, 'extension_label': '3.4.c_ad_an', 'multiplicity': 1}
  • id: 2577390
    {'base_label': '4.2.af_p_abg_bz', 'extension_degree': 7, 'extension_label': '1.128.an', 'multiplicity': 3}
  • id: 2577391
    {'base_label': '4.2.af_p_abg_bz', 'extension_degree': 7, 'extension_label': '1.128.n', 'multiplicity': 1}
  • id: 2577392
    {'base_label': '4.2.af_p_abg_bz', 'extension_degree': 14, 'extension_label': '1.16384.dj', '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[]

  
  {'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.ab', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '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': '6.0.16807.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.2.ae_j_ap', 'galois_group': '6T1', 'places': [['1', '1', '0', '1', '0', '0'], ['1', '0', '1', '1', '0', '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.d', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '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': '6.0.16807.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.4.c_ad_an', 'galois_group': '6T1', 'places': [['1', '1', '0', '1', '0', '0'], ['1', '0', '1', '1', '0', '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': '1.128.an', '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'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.128.n', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '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': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.16384.dj', 'galois_group': '2T1', 'places': [['0', '1'], ['1', '1']]}