Abelian variety isogeny class data - 4.2.ae_h_ag_e

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• av_fq_isog •

  Column	Type
  abvar_count	numeric
  abvar_counts	numeric[]
  abvar_counts_str	text
  angle_corank	smallint
  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
  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[]
  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': 2, 'abvar_counts': [2, 220, 5018, 149600, 686422, 13799500, 237933026, 3753763200, 79235379158, 1121647869100], 'abvar_counts_str': '2 220 5018 149600 686422 13799500 237933026 3753763200 79235379158 1121647869100 ', 'angle_corank': 2, 'angle_rank': 2, 'angles': [0.0693533547549937, 0.25, 0.339907131294691, 0.770553776539698], 'center_dim': 8, 'curve_count': -1, 'curve_counts': [-1, 3, 11, 31, 19, 51, 111, 223, 587, 1043], 'curve_counts_str': '-1 3 11 31 19 51 111 223 587 1043 ', '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, 'g': 4, 'galois_groups': ['2T1', '6T3'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 1, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 7, 'geometric_extension_degree': 4, 'geometric_galois_groups': ['1T1', '6T3'], 'geometric_number_fields': ['1.1.1.1', '6.0.2580992.1'], 'geometric_splitting_field': '6.0.2580992.1', 'geometric_splitting_polynomials': [[8, -8, 2, 0, 1, -2, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '4.2.ae_h_ag_e', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 8, 'newton_coelevation': 4, 'newton_elevation': 2, 'number_fields': ['2.0.4.1', '6.0.2580992.1'], 'p': 2, 'p_rank': 2, 'p_rank_deficit': 2, 'pic_prime_gens': [], 'poly': [1, -4, 7, -6, 4, -12, 28, -32, 16], 'poly_str': '1 -4 7 -6 4 -12 28 -32 16 ', 'primitive_models': [], 'principal_polarization_count': 0, 'q': 2, 'real_poly': [1, -4, -1, 18, -16], 'simple_distinct': ['1.2.ac', '3.2.ac_b_a'], 'simple_factors': ['1.2.acA', '3.2.ac_b_aA'], 'simple_multiplicities': [1, 1], 'size': 3, 'slopes': ['0A', '0B', '1/2A', '1/2B', '1/2C', '1/2D', '1A', '1B'], 'splitting_field': '12.0.426337261060096.1', 'splitting_polynomials': [[64, 0, 0, -32, -12, 8, 8, 4, -3, -4, 0, 0, 1]], 'twist_count': 6, 'twists': [['4.2.a_ab_ac_e', '4.4.ac_j_au_bo', 2], ['4.2.a_ab_c_e', '4.4.ac_j_au_bo', 2], ['4.2.e_h_g_e', '4.4.ac_j_au_bo', 2], ['4.2.a_ab_ac_e', '4.16.o_dd_lc_bme', 4], ['4.2.ac_d_ae_e', '4.256.abi_sn_aomq_mfjc', 8], ['4.2.c_d_e_e', '4.256.abi_sn_aomq_mfjc', 8]], 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 32}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 2577885
    {'base_label': '4.2.ae_h_ag_e', 'extension_degree': 1, 'extension_label': '1.2.ac', 'multiplicity': 1}
  • id: 2577886
    {'base_label': '4.2.ae_h_ag_e', 'extension_degree': 1, 'extension_label': '3.2.ac_b_a', 'multiplicity': 1}
  • id: 2577887
    {'base_label': '4.2.ae_h_ag_e', 'extension_degree': 2, 'extension_label': '1.4.a', 'multiplicity': 1}
  • id: 2577888
    {'base_label': '4.2.ae_h_ag_e', 'extension_degree': 2, 'extension_label': '3.4.ac_f_am', 'multiplicity': 1}
  • id: 2577889
    {'base_label': '4.2.ae_h_ag_e', 'extension_degree': 4, 'extension_label': '1.16.i', 'multiplicity': 1}
  • id: 2577890
    {'base_label': '4.2.ae_h_ag_e', 'extension_degree': 4, 'extension_label': '3.16.g_r_ce', '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'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.ac', 'galois_group': '2T1', 'places': [['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', '0'], 'center': '6.0.2580992.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.2.ac_b_a', 'galois_group': '6T3', 'places': [['1', '1', '0', '0', '0', '0'], ['0', '1/2', '1', '1/4', '3/2', '1/4'], ['1', '1/2', '0', '1/4', '1/2', '5/4']]}
• 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'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.a', 'galois_group': '2T1', 'places': [['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', '0'], 'center': '6.0.2580992.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.4.ac_f_am', 'galois_group': '6T3', 'places': [['1', '1', '0', '0', '0', '0'], ['0', '1/2', '1', '1/4', '3/2', '1/4'], ['1', '1/2', '0', '1/4', '1/2', '5/4']]}
• 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'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.16.i', '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', '0'], 'center': '6.0.2580992.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.16.g_r_ce', 'galois_group': '6T3', 'places': [['1', '1', '0', '0', '0', '0'], ['0', '1/2', '1', '1/4', '3/2', '1/4'], ['1', '1/2', '0', '1/4', '1/2', '5/4']]}