Abelian variety isogeny class data - 2.109.abj_tu

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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': 8546, 'abvar_counts': [8546, 138838316, 1676645756384, 19926050676776384, 236735589302175372426, 2812660906988198456819456, 33417263099328829802634809066, 397030579847178222833424956620544, 4717120411745493450729297028392318944, 56044107678138012070939277914292376670476], 'abvar_counts_str': '8546 138838316 1676645756384 19926050676776384 236735589302175372426 2812660906988198456819456 33417263099328829802634809066 397030579847178222833424956620544 4717120411745493450729297028392318944 56044107678138012070939277914292376670476 ', 'angle_rank': 2, 'angles': [0.0417150322732179, 0.259902228643575], 'center_dim': 4, 'curve_count': 75, 'curve_counts': [75, 11685, 1294680, 141161169, 15386188975, 1677097800426, 182803872842715, 19925626002422529, 2171893276890998040, 236736367460711673325], 'curve_counts_str': '75 11685 1294680 141161169 15386188975 1677097800426 182803872842715 19925626002422529 2171893276890998040 236736367460711673325 ', 'curves': ['y^2=3*x^6+37*x^5+71*x^4+64*x^3+93*x^2+4*x+3', 'y^2=97*x^6+71*x^5+45*x^4+78*x^3+62*x^2+54*x+11', 'y^2=61*x^6+12*x^5+94*x^4+96*x^3+48*x^2+98*x+72', 'y^2=75*x^6+106*x^5+49*x^4+84*x^3+15*x^2+22*x+20', 'y^2=68*x^6+51*x^5+18*x^4+51*x^3+97*x^2+x+33', 'y^2=37*x^6+12*x^5+99*x^4+75*x^3+69*x^2+58*x+103'], 'dim1_distinct': 0, 'dim1_factors': 0, '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': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.2898044.1'], 'geometric_splitting_field': '4.0.2898044.1', 'geometric_splitting_polynomials': [[226, 152, 55, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 6, 'label': '2.109.abj_tu', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.2898044.1'], 'p': 109, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 23, 1, 6]], 'poly': [1, -35, 514, -3815, 11881], 'poly_str': '1 -35 514 -3815 11881 ', 'primitive_models': [], 'principal_polarization_count': 6, 'q': 109, 'real_poly': [1, -35, 296], 'simple_distinct': ['2.109.abj_tu'], 'simple_factors': ['2.109.abj_tuA'], 'simple_multiplicities': [1], 'size': 6, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2898044.1', 'splitting_polynomials': [[226, 152, 55, -1, 1]], 'twist_count': 2, 'twists': [['2.109.bj_tu', '2.11881.ahp_beye', 2]], 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1724}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.109.abj_tu', 'extension_degree': 1, 'extension_label': '2.109.abj_tu', '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': '4.0.2898044.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.109.abj_tu', 'galois_group': '4T3', 'places': [['1295/109', '127/109', '8/109', '1/109'], ['100', '1', '0', '0']]}