Abelian variety isogeny class data - 4.4.ag_s_abk_cq

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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': 61, 'abvar_counts': [61, 73261, 16776769, 5367174121, 1125584940601, 281459978079361, 74854905804956401, 18600259443713672481, 4722366482892103876609, 1208923935985920403430401], 'abvar_counts_str': '61 73261 16776769 5367174121 1125584940601 281459978079361 74854905804956401 18600259443713672481 4722366482892103876609 1208923935985920403430401 ', 'angle_corank': 3, 'angle_rank': 1, 'angles': [0.126451355039084, 0.20688197829425, 0.373548644960916, 0.70688197829425], 'center_dim': 8, 'curve_count': -1, 'curve_counts': [-1, 17, 65, 313, 1049, 4097, 17009, 66081, 262145, 1048577], 'curve_counts_str': '-1 17 65 313 1049 4097 17009 66081 262145 1048577 ', 'curves': [], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 1, 'dim4_factors': 1, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 4, 'galois_groups': ['8T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 1, 'geom_dim4_factors': 1, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 2, 'geometric_extension_degree': 12, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.15.1'], 'geometric_splitting_field': '2.0.15.1', 'geometric_splitting_polynomials': [[4, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '4.4.ag_s_abk_cq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 16, 'max_twist_degree': 24, 'newton_coelevation': 2, 'newton_elevation': 4, 'noncyclic_primes': [], 'number_fields': ['8.0.12960000.1'], 'p': 2, 'p_rank': 0, 'p_rank_deficit': 4, 'poly': [1, -6, 18, -36, 68, -144, 288, -384, 256], 'poly_str': '1 -6 18 -36 68 -144 288 -384 256 ', 'primitive_models': [], 'q': 4, 'real_poly': [1, -6, 2, 36, -44], 'simple_distinct': ['4.4.ag_s_abk_cq'], 'simple_factors': ['4.4.ag_s_abk_cqA'], 'simple_multiplicities': [1], 'slopes': ['1/4A', '1/4B', '1/4C', '1/4D', '3/4A', '3/4B', '3/4C', '3/4D'], 'splitting_field': '8.0.12960000.1', 'splitting_polynomials': [[1, 0, -3, 0, 8, 0, -3, 0, 1]], 'twist_count': 7, 'twists': [['4.4.g_s_bk_cq', '4.16.a_bc_a_ui', 2], ['4.4.a_a_a_abc', '4.64.a_a_a_arg', 3], ['4.4.g_s_bk_cq', '4.64.a_a_a_arg', 3], ['4.4.a_ac_a_am', '4.65536.uy_felk_dkbxky_chldywxc', 8], ['4.4.a_c_a_am', '4.65536.uy_felk_dkbxky_chldywxc', 8], ['4.4.a_ae_a_bk', '4.281474976710656.lfytiu_cdgsyzxngdgy_fzrcyagwdjjdojuro_konjkzsycogfbbqsznbeii', 24], ['4.4.a_e_a_bk', '4.281474976710656.lfytiu_cdgsyzxngdgy_fzrcyagwdjjdojuro_konjkzsycogfbbqsznbeii', 24]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 2618141
    {'base_label': '4.4.ag_s_abk_cq', 'extension_degree': 1, 'extension_label': '4.4.ag_s_abk_cq', 'multiplicity': 1}
  • id: 2618142
    {'base_label': '4.4.ag_s_abk_cq', 'extension_degree': 2, 'extension_label': '4.16.a_bc_a_ui', 'multiplicity': 1}
  • id: 2618143
    {'base_label': '4.4.ag_s_abk_cq', 'extension_degree': 3, 'extension_label': '4.64.a_a_a_arg', 'multiplicity': 1}
  • id: 2618144
    {'base_label': '4.4.ag_s_abk_cq', 'extension_degree': 4, 'extension_label': '4.256.ce_csu_cmyq_buecm', 'multiplicity': 1}
  • id: 2618145
    {'base_label': '4.4.ag_s_abk_cq', 'extension_degree': 6, 'extension_label': '4.4096.a_abim_a_cvwnqm', 'multiplicity': 1}
  • id: 2618146
    {'base_label': '4.4.ag_s_abk_cq', 'extension_degree': 12, 'extension_label': '4.16777216.acqy_ftmswm_alhdndwaa_mgnaawzgjjs', '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': '8.0.12960000.1', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.4.ag_s_abk_cq', 'galois_group': '8T3', 'places': [['1', '1/4', '0', '1', '0', '1', '0', '1/4'], ['1', '1', '1', '0', '0', '0', '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': '8.0.12960000.1', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.16.a_bc_a_ui', 'galois_group': '8T3', 'places': [['1', '1', '1', '0', '0', '0', '0', '0'], ['1', '1/4', '0', '1', '0', '1', '0', '1/4']]}
• 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': '8.0.12960000.1', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.64.a_a_a_arg', 'galois_group': '8T3', 'places': [['1', '1', '1', '0', '0', '0', '0', '0'], ['1', '1/4', '0', '1', '0', '1', '0', '1/4']]}
• 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': ['1/2', '1/2'], 'center': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 4, 'extension_label': '4.256.ce_csu_cmyq_buecm', 'galois_group': '4T2', 'places': [['1/2', '0', '1', '1/2'], ['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[]

  
  
  • id: 2224646
    {'brauer_invariants': ['1/2', '1/2'], 'center': '4.0.3600.2', 'center_dim': 4, 'divalg_dim': 4, 'extension_label': '4.4096.a_abim_a_cvwnqm', 'galois_group': '4T2', 'places': [['1', '1/4', '0', '1/4'], ['1', '1', '0', '0']]}
  • id: 2242361
    {'brauer_invariants': ['1/2', '1/2'], 'center': '4.0.3600.2', 'center_dim': 4, 'divalg_dim': 4, 'extension_label': '4.4096.a_abim_a_cvwnqm', 'galois_group': '4T2', 'places': [['1', '7/4', '0', '7/4'], ['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': ['1/4', '3/4'], 'center': '2.0.15.1', 'center_dim': 2, 'divalg_dim': 16, 'extension_label': '4.16777216.acqy_ftmswm_alhdndwaa_mgnaawzgjjs', 'galois_group': '2T1', 'places': [['0', '1'], ['1', '1']]}