Abelian variety isogeny class data - 3.5.k_bv_fc

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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': 800, 'abvar_counts': [800, 12800, 1757600, 262144000, 29842420000, 3871697523200, 470441329501600, 60088890949632000, 7430506039722240800, 931368062695449920000], 'abvar_counts_str': '800 12800 1757600 262144000 29842420000 3871697523200 470441329501600 60088890949632000 7430506039722240800 931368062695449920000 ', 'angle_corank': 2, 'angle_rank': 1, 'angles': [0.647583617650433, 0.852416382349567, 0.852416382349567], 'center_dim': 4, 'curve_count': 16, 'curve_counts': [16, 20, 112, 668, 3056, 15860, 77072, 393788, 1947856, 9766100], 'curve_counts_str': '16 20 112 668 3056 15860 77072 393788 1947856 9766100 ', 'curves': ['4*x^4+x^3*z+4*x^2*z^2+x*z^3+y^4+y^2*z^2=0'], 'dim1_distinct': 2, 'dim1_factors': 3, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 3, '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': 4, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 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': 1, 'label': '3.5.k_bv_fc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [2, 5], 'number_fields': ['2.0.4.1', '2.0.4.1'], 'p': 5, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, 10, 47, 132, 235, 250, 125], 'poly_str': '1 10 47 132 235 250 125 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, 10, 32, 32], 'simple_distinct': ['1.5.c', '1.5.e'], 'simple_factors': ['1.5.cA', '1.5.eA', '1.5.eB'], 'simple_multiplicities': [1, 2], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 44, 'twists': [['3.5.ak_bv_afc', '3.25.ag_bn_adg', 2], ['3.5.ag_p_abc', '3.25.ag_bn_adg', 2], ['3.5.ac_ab_m', '3.25.ag_bn_adg', 2], ['3.5.c_ab_am', '3.25.ag_bn_adg', 2], ['3.5.g_p_bc', '3.25.ag_bn_adg', 2], ['3.5.ac_i_as', '3.125.ao_ih_afse', 3], ['3.5.am_cl_ahc', '3.625.bq_dqt_ddsu', 4], ['3.5.ai_bj_ads', '3.625.bq_dqt_ddsu', 4], ['3.5.ag_bb_acq', '3.625.bq_dqt_ddsu', 4], ['3.5.ae_ab_y', '3.625.bq_dqt_ddsu', 4], ['3.5.ae_l_ay', '3.625.bq_dqt_ddsu', 4], ['3.5.ac_l_am', '3.625.bq_dqt_ddsu', 4], ['3.5.a_d_aq', '3.625.bq_dqt_ddsu', 4], ['3.5.a_d_q', '3.625.bq_dqt_ddsu', 4], ['3.5.c_l_m', '3.625.bq_dqt_ddsu', 4], ['3.5.e_ab_ay', '3.625.bq_dqt_ddsu', 4], ['3.5.e_l_y', '3.625.bq_dqt_ddsu', 4], ['3.5.g_bb_cq', '3.625.bq_dqt_ddsu', 4], ['3.5.i_bj_ds', '3.625.bq_dqt_ddsu', 4], ['3.5.m_cl_hc', '3.625.bq_dqt_ddsu', 4], ['3.5.ag_y_ack', '3.15625.ja_alrd_amaysa', 6], ['3.5.c_i_s', '3.15625.ja_alrd_amaysa', 6], ['3.5.g_y_ck', '3.15625.ja_alrd_amaysa', 6], ['3.5.ae_ad_bg', '3.390625.erq_jwhqt_lumbxcu', 8], ['3.5.ae_n_abg', '3.390625.erq_jwhqt_lumbxcu', 8], ['3.5.ac_ad_q', '3.390625.erq_jwhqt_lumbxcu', 8], ['3.5.ac_n_aq', '3.390625.erq_jwhqt_lumbxcu', 8], ['3.5.c_ad_aq', '3.390625.erq_jwhqt_lumbxcu', 8], ['3.5.c_n_q', '3.390625.erq_jwhqt_lumbxcu', 8], ['3.5.e_ad_abg', '3.390625.erq_jwhqt_lumbxcu', 8], ['3.5.e_n_bg', '3.390625.erq_jwhqt_lumbxcu', 8], ['3.5.ai_bg_adg', '3.244140625.aeaig_htebxop_aitccawdncu', 12], ['3.5.ag_m_aq', '3.244140625.aeaig_htebxop_aitccawdncu', 12], ['3.5.ae_i_as', '3.244140625.aeaig_htebxop_aitccawdncu', 12], ['3.5.ac_ae_y', '3.244140625.aeaig_htebxop_aitccawdncu', 12], ['3.5.ac_i_as', '3.244140625.aeaig_htebxop_aitccawdncu', 12], ['3.5.a_a_aw', '3.244140625.aeaig_htebxop_aitccawdncu', 12], ['3.5.a_a_ae', '3.244140625.aeaig_htebxop_aitccawdncu', 12], ['3.5.a_a_e', '3.244140625.aeaig_htebxop_aitccawdncu', 12], ['3.5.a_a_w', '3.244140625.aeaig_htebxop_aitccawdncu', 12], ['3.5.c_ae_ay', '3.244140625.aeaig_htebxop_aitccawdncu', 12], ['3.5.e_i_s', '3.244140625.aeaig_htebxop_aitccawdncu', 12], ['3.5.g_m_q', '3.244140625.aeaig_htebxop_aitccawdncu', 12], ['3.5.i_bg_dg', '3.244140625.aeaig_htebxop_aitccawdncu', 12]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 1371930
    {'base_label': '3.5.k_bv_fc', 'extension_degree': 1, 'extension_label': '1.5.c', 'multiplicity': 1}
  • id: 1371931
    {'base_label': '3.5.k_bv_fc', 'extension_degree': 1, 'extension_label': '1.5.e', 'multiplicity': 2}
  • id: 1371932
    {'base_label': '3.5.k_bv_fc', 'extension_degree': 2, 'extension_label': '1.25.ag', 'multiplicity': 2}
  • id: 1371933
    {'base_label': '3.5.k_bv_fc', 'extension_degree': 2, 'extension_label': '1.25.g', 'multiplicity': 1}
  • id: 1371934
    {'base_label': '3.5.k_bv_fc', 'extension_degree': 4, 'extension_label': '1.625.o', 'multiplicity': 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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.5.c', '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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.5.e', 'galois_group': '2T1', 'places': [['2', '1'], ['3', '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': '1.25.ag', '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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.25.g', 'galois_group': '2T1', 'places': [['2', '1'], ['3', '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': '1.625.o', 'galois_group': '2T1', 'places': [['3', '1'], ['2', '1']]}