Abelian variety isogeny class data - 2.199.abz_bog

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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': 30448, 'abvar_counts': [30448, 1548219904, 62079739927744, 2459401102663464960, 97393967494055688776848, 3856888170158997044063297536, 152736586098917989578622601182288, 6048521421685204791143189561577431040, 239527496532198154018446454847219651164864, 9485528389659396058259373625856413406510831104], 'abvar_counts_str': '30448 1548219904 62079739927744 2459401102663464960 97393967494055688776848 3856888170158997044063297536 152736586098917989578622601182288 6048521421685204791143189561577431040 239527496532198154018446454847219651164864 9485528389659396058259373625856413406510831104 ', 'angle_rank': 2, 'angles': [0.0936959350875043, 0.176204172288163], 'center_dim': 4, 'curve_count': 149, 'curve_counts': [149, 39093, 7877540, 1568256361, 312080530679, 62103859165086, 12358664548923401, 2459374194646446001, 489415464146272214540, 97393677359849276554653], 'curve_counts_str': '149 39093 7877540 1568256361 312080530679 62103859165086 12358664548923401 2459374194646446001 489415464146272214540 97393677359849276554653 ', 'curves': ['y^2=64*x^6+79*x^5+18*x^4+38*x^3+105*x^2+66*x+198', 'y^2=191*x^6+16*x^5+177*x^4+29*x^3+88*x^2+188*x+85', 'y^2=186*x^6+140*x^5+191*x^4+48*x^3+59*x^2+189*x+101', 'y^2=11*x^6+117*x^5+100*x^4+142*x^3+163*x^2+171*x+163', 'y^2=110*x^6+147*x^5+17*x^4+20*x^3+164*x^2+24*x+99', 'y^2=142*x^6+16*x^5+33*x^4+25*x^3+189*x^2+31*x+42', 'y^2=26*x^6+121*x^5+19*x^4+163*x^3+32*x^2+81*x+40', 'y^2=190*x^6+89*x^5+53*x^4+32*x^3+36*x^2+104*x+31', 'y^2=107*x^6+114*x^5+9*x^4+108*x^3+52*x^2+165*x+125', 'y^2=179*x^6+111*x^5+186*x^4+119*x^3+140*x^2+191*x+142', 'y^2=2*x^6+181*x^5+128*x^4+162*x^3+141*x^2+85*x+37', 'y^2=189*x^6+80*x^5+88*x^4+138*x^3+94*x^2+106*x+176', 'y^2=39*x^6+6*x^5+37*x^4+13*x^3+139*x^2+72*x+114', 'y^2=157*x^6+176*x^5+20*x^4+128*x^3+144*x^2+36*x+3', 'y^2=198*x^6+86*x^5+18*x^4+37*x^3+16*x^2+76*x+60', 'y^2=12*x^6+62*x^5+152*x^4+189*x^3+161*x^2+197*x+194'], 'dim1_distinct': 2, 'dim1_factors': 2, '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': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 2, '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': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.67.1', '2.0.55.1'], 'geometric_splitting_field': '4.0.13579225.1', 'geometric_splitting_polynomials': [[9, 0, 61, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 16, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'jacobian_count': 16, 'label': '2.199.abz_bog', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['2.0.67.1', '2.0.55.1'], 'p': 199, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -51, 1046, -10149, 39601], 'poly_str': '1 -51 1046 -10149 39601 ', 'primitive_models': [], 'q': 199, 'real_poly': [1, -51, 648], 'simple_distinct': ['1.199.abb', '1.199.ay'], 'simple_factors': ['1.199.abbA', '1.199.ayA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.13579225.1', 'splitting_polynomials': [[9, 0, 61, 0, 1]], 'twist_count': 4, 'twists': [['2.199.ad_ajq', '2.39601.atp_hwii', 2], ['2.199.d_ajq', '2.39601.atp_hwii', 2], ['2.199.bz_bog', '2.39601.atp_hwii', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 660988
    {'base_label': '2.199.abz_bog', 'extension_degree': 1, 'extension_label': '1.199.abb', 'multiplicity': 1}
  • id: 660989
    {'base_label': '2.199.abz_bog', 'extension_degree': 1, 'extension_label': '1.199.ay', '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': '2.0.67.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.199.abb', 'galois_group': '2T1', 'places': [['185', '1'], ['13', '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': '2.0.55.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.199.ay', 'galois_group': '2T1', 'places': [['93', '1'], ['105', '1']]}