Abelian variety isogeny class data - 3.7.al_cd_ags

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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': 60, 'abvar_counts': [60, 90480, 36164880, 12804729600, 4652481286500, 1632390679745280, 559793180264991180, 191595514633735680000, 65707433404317129112560, 22541972792430127694502000], 'abvar_counts_str': '60 90480 36164880 12804729600 4652481286500 1632390679745280 559793180264991180 191595514633735680000 65707433404317129112560 22541972792430127694502000 ', 'all_polarized_product': True, 'all_unpolarized_product': True, 'angle_corank': 1, 'angle_rank': 2, 'angles': [0.046115415552834, 0.106147807504828, 0.453884584447166], 'center_dim': 6, 'cohen_macaulay_max': 1, 'curve_count': -3, 'curve_counts': [-3, 39, 306, 2215, 16467, 117936, 825381, 5765231, 40350582, 282508239], 'curve_counts_str': '-3 39 306 2215 16467 117936 825381 5765231 40350582 282508239 ', 'curves': [], 'dim1_distinct': 1, 'dim1_factors': 1, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 3, 'g': 3, 'galois_groups': ['2T1', '4T2'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 4, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.3.1', '2.0.20.1'], 'geometric_splitting_field': '4.0.3600.3', 'geometric_splitting_polynomials': [[25, 0, -5, 0, 1]], 'group_structure_count': 2, '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': True, 'is_supersingular': False, 'label': '3.7.al_cd_ags', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 24, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.3.1', '4.0.400.1'], 'p': 7, 'p_rank': 3, 'p_rank_deficit': 0, 'pic_prime_gens': [], 'poly': [1, -11, 55, -174, 385, -539, 343], 'poly_str': '1 -11 55 -174 385 -539 343 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 7, 'real_poly': [1, -11, 34, -20], 'simple_distinct': ['1.7.af', '2.7.ag_s'], 'simple_factors': ['1.7.afA', '2.7.ag_sA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,5*F^2-27*F+6*V^2-32*V+86'], 'size': 3, 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '8.0.12960000.1', 'splitting_polynomials': [[1, 0, -3, 0, 8, 0, -3, 0, 1]], 'twist_count': 24, 'twists': [['3.7.ab_af_g', '3.49.al_abh_bis', 2], ['3.7.b_af_ag', '3.49.al_abh_bis', 2], ['3.7.l_cd_gs', '3.49.al_abh_bis', 2], ['3.7.af_t_aco', '3.343.abm_bhh_axbo', 3], ['3.7.ac_b_am', '3.343.abm_bhh_axbo', 3], ['3.7.ak_bx_aga', '3.117649.la_iydr_ypdqa', 6], ['3.7.ah_bf_ady', '3.117649.la_iydr_ypdqa', 6], ['3.7.c_b_m', '3.117649.la_iydr_ypdqa', 6], ['3.7.f_t_co', '3.117649.la_iydr_ypdqa', 6], ['3.7.h_bf_dy', '3.117649.la_iydr_ypdqa', 6], ['3.7.k_bx_ga', '3.117649.la_iydr_ypdqa', 6], ['3.7.af_d_u', '3.5764801.qn_jzqcx_cpcvrhqk', 8], ['3.7.af_l_au', '3.5764801.qn_jzqcx_cpcvrhqk', 8], ['3.7.f_d_au', '3.5764801.qn_jzqcx_cpcvrhqk', 8], ['3.7.f_l_u', '3.5764801.qn_jzqcx_cpcvrhqk', 8], ['3.7.ae_d_q', '3.191581231380566414401.haowpnje_wvvwokrqhlishxn_bvdrbukejyehhsxgrpljxeq', 24], ['3.7.ae_l_aq', '3.191581231380566414401.haowpnje_wvvwokrqhlishxn_bvdrbukejyehhsxgrpljxeq', 24], ['3.7.ab_d_e', '3.191581231380566414401.haowpnje_wvvwokrqhlishxn_bvdrbukejyehhsxgrpljxeq', 24], ['3.7.ab_l_ae', '3.191581231380566414401.haowpnje_wvvwokrqhlishxn_bvdrbukejyehhsxgrpljxeq', 24], ['3.7.b_d_ae', '3.191581231380566414401.haowpnje_wvvwokrqhlishxn_bvdrbukejyehhsxgrpljxeq', 24], ['3.7.b_l_e', '3.191581231380566414401.haowpnje_wvvwokrqhlishxn_bvdrbukejyehhsxgrpljxeq', 24], ['3.7.e_d_aq', '3.191581231380566414401.haowpnje_wvvwokrqhlishxn_bvdrbukejyehhsxgrpljxeq', 24], ['3.7.e_l_q', '3.191581231380566414401.haowpnje_wvvwokrqhlishxn_bvdrbukejyehhsxgrpljxeq', 24]], 'weak_equivalence_count': 3, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 1, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 48, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,5*F^2-27*F+6*V^2-32*V+86']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 1383232
    {'base_label': '3.7.al_cd_ags', 'extension_degree': 1, 'extension_label': '1.7.af', 'multiplicity': 1}
  • id: 1383233
    {'base_label': '3.7.al_cd_ags', 'extension_degree': 1, 'extension_label': '2.7.ag_s', 'multiplicity': 1}
  • id: 1383234
    {'base_label': '3.7.al_cd_ags', 'extension_degree': 2, 'extension_label': '1.49.al', 'multiplicity': 1}
  • id: 1383235
    {'base_label': '3.7.al_cd_ags', 'extension_degree': 2, 'extension_label': '2.49.a_ade', 'multiplicity': 1}
  • id: 1383236
    {'base_label': '3.7.al_cd_ags', 'extension_degree': 4, 'extension_label': '1.2401.ade', 'multiplicity': 2}
  • id: 1383237
    {'base_label': '3.7.al_cd_ags', 'extension_degree': 4, 'extension_label': '1.2401.ax', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.7.af', 'galois_group': '2T1', 'places': [['4', '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': '4.0.400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.7.ag_s', 'galois_group': '4T2', 'places': [['5', '3', '1', '5'], ['5', '4', '1', '2']]}
• 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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.49.al', 'galois_group': '2T1', 'places': [['4', '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': '4.0.400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.49.a_ade', 'galois_group': '4T2', 'places': [['5', '4', '1', '2'], ['5', '3', '1', '5']]}
• 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': '2.0.20.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2401.ade', 'galois_group': '2T1', 'places': [['3', '1'], ['4', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2401.ax', 'galois_group': '2T1', 'places': [['4', '1'], ['2', '1']]}