Abelian variety isogeny class data - 4.4.al_cf_ahg_qy

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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': 11, 'abvar_counts': [11, 36531, 13099856, 3310621875, 966715000691, 267814451653056, 69459574137977111, 17940014957916871875, 4669215718015391574416, 1207118774850191972541531], 'abvar_counts_str': '11 36531 13099856 3310621875 966715000691 267814451653056 69459574137977111 17940014957916871875 4669215718015391574416 1207118774850191972541531 ', 'angle_rank': 2, 'angles': [0.0, 0.0, 0.0, 0.0, 0.272875599393889, 0.469557725221196], 'center_dim': 5, 'curve_count': -6, 'curve_counts': [-6, 10, 51, 194, 894, 3895, 15786, 63714, 259179, 1047010], 'curve_counts_str': '-6 10 51 194 894 3895 15786 63714 259179 1047010 ', 'dim1_distinct': 1, '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', '4T3'], 'geom_dim1_distinct': 1, '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': 5, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['1T1', '4T3'], 'geometric_number_fields': ['1.1.1.1', '4.0.3625.1'], 'geometric_splitting_field': '4.0.3625.1', 'geometric_splitting_polynomials': [[11, -1, 6, -1, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'label': '4.4.al_cf_ahg_qy', 'max_divalg_dim': 4, 'max_geom_divalg_dim': 4, 'max_twist_degree': 12, 'number_fields': ['1.1.1.1', '4.0.3625.1'], 'p': 2, 'p_rank': 2, 'p_rank_deficit': 2, 'poly': [1, -11, 57, -188, 440, -752, 912, -704, 256], 'poly_str': '1 -11 57 -188 440 -752 912 -704 256 ', 'primitive_models': [], 'q': 4, 'real_poly': [1, -11, 41, -56, 16], 'simple_distinct': ['1.4.ae', '2.4.ad_j'], 'simple_factors': ['1.4.aeA', '1.4.aeB', '2.4.ad_jA'], 'simple_multiplicities': [2, 1], 'slopes': ['0A', '0B', '1/2A', '1/2B', '1/2C', '1/2D', '1A', '1B'], 'splitting_field': '4.0.3625.1', 'splitting_polynomials': [[11, -1, 6, -1, 1]], 'twist_count': 38, 'twists': [['4.4.af_j_au_ce', '4.16.ah_ah_ds_age', 2], ['4.4.ad_b_m_abo', '4.16.ah_ah_ds_age', 2], ['4.4.d_b_am_abo', '4.16.ah_ah_ds_age', 2], ['4.4.f_j_u_ce', '4.16.ah_ah_ds_age', 2], ['4.4.l_cf_hg_qy', '4.16.ah_ah_ds_age', 2], ['4.4.af_p_abm_dc', '4.64.ao_ad_abg_kku', 3], ['4.4.b_j_e_bs', '4.64.ao_ad_abg_kku', 3], ['4.4.ah_bd_adk_hs', '4.256.acl_bph_qey_abdheu', 4], ['4.4.ad_r_abk_ea', '4.256.acl_bph_qey_abdheu', 4], ['4.4.ab_f_aq_i', '4.256.acl_bph_qey_abdheu', 4], ['4.4.b_f_q_i', '4.256.acl_bph_qey_abdheu', 4], ['4.4.d_r_bk_ea', '4.256.acl_bph_qey_abdheu', 4], ['4.4.h_bd_dk_hs', '4.256.acl_bph_qey_abdheu', 4], ['4.4.ab_h_c_u', '4.1024.afb_lnx_arxzs_xjrho', 5], ['4.4.aj_br_afi_mi', '4.4096.ahu_tnl_ahdeu_abrcyqa', 6], ['4.4.ah_bh_adw_jc', '4.4096.ahu_tnl_ahdeu_abrcyqa', 6], ['4.4.ad_h_as_bg', '4.4096.ahu_tnl_ahdeu_abrcyqa', 6], ['4.4.ad_n_ay_cq', '4.4096.ahu_tnl_ahdeu_abrcyqa', 6], ['4.4.ab_d_o_aq', '4.4096.ahu_tnl_ahdeu_abrcyqa', 6], ['4.4.ab_j_ae_bs', '4.4096.ahu_tnl_ahdeu_abrcyqa', 6], ['4.4.b_d_ao_aq', '4.4096.ahu_tnl_ahdeu_abrcyqa', 6], ['4.4.d_h_s_bg', '4.4096.ahu_tnl_ahdeu_abrcyqa', 6], ['4.4.d_n_y_cq', '4.4096.ahu_tnl_ahdeu_abrcyqa', 6], ['4.4.f_p_bm_dc', '4.4096.ahu_tnl_ahdeu_abrcyqa', 6], ['4.4.h_bh_dw_jc', '4.4096.ahu_tnl_ahdeu_abrcyqa', 6], ['4.4.j_br_fi_mi', '4.4096.ahu_tnl_ahdeu_abrcyqa', 6], ['4.4.ad_j_am_bg', '4.65536.acsd_dhkqr_acjmguno_bcpuogmmi', 8], ['4.4.d_j_m_bg', '4.65536.acsd_dhkqr_acjmguno_bcpuogmmi', 8], ['4.4.af_t_aby_em', '4.1048576.acih_avnnz_acsxquyq_rqubwisvw', 10], ['4.4.b_h_ac_u', '4.1048576.acih_avnnz_acsxquyq_rqubwisvw', 10], ['4.4.f_t_by_em', '4.1048576.acih_avnnz_acsxquyq_rqubwisvw', 10], ['4.4.af_x_ack_fw', '4.16777216.avio_hbzqvx_abljcuxkmi_hmiamjnxlxw', 12], ['4.4.ad_f_a_ae', '4.16777216.avio_hbzqvx_abljcuxkmi_hmiamjnxlxw', 12], ['4.4.ab_l_ak_ce', '4.16777216.avio_hbzqvx_abljcuxkmi_hmiamjnxlxw', 12], ['4.4.b_l_k_ce', '4.16777216.avio_hbzqvx_abljcuxkmi_hmiamjnxlxw', 12], ['4.4.d_f_a_ae', '4.16777216.avio_hbzqvx_abljcuxkmi_hmiamjnxlxw', 12], ['4.4.f_x_ck_fw', '4.16777216.avio_hbzqvx_abljcuxkmi_hmiamjnxlxw', 12]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 2679286
    {'base_label': '4.4.al_cf_ahg_qy', 'extension_degree': 1, 'extension_label': '1.4.ae', 'multiplicity': 2}
  • id: 2679287
    {'base_label': '4.4.al_cf_ahg_qy', 'extension_degree': 1, 'extension_label': '2.4.ad_j', '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': '4.0.3625.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.4.ad_j', 'galois_group': '4T3', 'places': [['5/4', '3/2', '0', '1/4'], ['1', '1', '0', '0']]}