Abelian variety isogeny class data - 2.179.abu_bic

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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_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[]
  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': 24648, 'abvar_counts': [24648, 1015694784, 32895442952424, 1054026780125829120, 33770201968343204326248, 1082023380423281742413962176, 34669090622862573969221121288648, 1110832292144297902415171373597818880, 35592177421050689811561229285438321841544, 1140408956756723265200164121811053276663507904], 'abvar_counts_str': '24648 1015694784 32895442952424 1054026780125829120 33770201968343204326248 1082023380423281742413962176 34669090622862573969221121288648 1110832292144297902415171373597818880 35592177421050689811561229285438321841544 1140408956756723265200164121811053276663507904 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.14579779847778, 0.192758452316922], 'center_dim': 4, 'curve_count': 134, 'curve_counts': [134, 31698, 5735570, 1026690446, 183767413654, 32894134150626, 5888046529756546, 1053960290397230686, 188658891707887595750, 33769941615973595014578], 'curve_counts_str': '134 31698 5735570 1026690446 183767413654 32894134150626 5888046529756546 1053960290397230686 188658891707887595750 33769941615973595014578 ', 'curves': ['y^2=21*x^6+105*x^5+155*x^4+39*x^3+155*x^2+105*x+21', 'y^2=96*x^6+45*x^5+8*x^4+62*x^3+98*x^2+141*x+69', 'y^2=34*x^6+161*x^5+63*x^4+159*x^3+92*x^2+57*x+143', 'y^2=178*x^6+83*x^5+151*x^4+77*x^3+151*x^2+83*x+178', 'y^2=93*x^6+16*x^5+77*x^4+141*x^3+77*x^2+16*x+93', 'y^2=53*x^6+144*x^5+178*x^4+166*x^3+178*x^2+144*x+53', 'y^2=154*x^6+129*x^5+115*x^4+33*x^3+162*x^2+117*x+140', 'y^2=x^6+88*x^5+147*x^4+64*x^3+147*x^2+88*x+1', 'y^2=69*x^6+119*x^5+122*x^4+34*x^3+55*x^2+40*x+170', 'y^2=105*x^6+42*x^5+72*x^4+100*x^3+44*x^2+19*x+34', 'y^2=159*x^6+66*x^5+79*x^4+138*x^3+79*x^2+66*x+159', 'y^2=159*x^6+132*x^5+34*x^4+63*x^3+34*x^2+132*x+159', 'y^2=148*x^6+40*x^5+116*x^4+92*x^3+116*x^2+40*x+148', 'y^2=34*x^6+102*x^5+36*x^4+68*x^3+169*x^2+104*x+176', 'y^2=51*x^6+126*x^5+123*x^4+7*x^3+92*x^2+46*x+65', 'y^2=26*x^6+96*x^5+164*x^4+78*x^3+136*x^2+92*x+148', 'y^2=75*x^6+103*x^5+111*x^4+116*x^3+109*x^2+122*x+25', 'y^2=62*x^6+40*x^5+135*x^4+73*x^3+13*x^2+164*x+134', 'y^2=170*x^6+154*x^5+88*x^4+14*x^3+88*x^2+154*x+170', 'y^2=93*x^6+146*x^5+172*x^4+54*x^3+172*x^2+146*x+93', 'y^2=26*x^6+165*x^5+60*x^4+110*x^3+60*x^2+165*x+26', 'y^2=33*x^6+170*x^5+138*x^4+12*x^3+138*x^2+170*x+33', 'y^2=170*x^6+39*x^5+35*x^4+178*x^3+122*x^2+135*x+35', 'y^2=38*x^6+2*x^5+64*x^4+135*x^3+64*x^2+2*x+38'], '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': ['2.0.35.1', '2.0.232.1'], 'geometric_splitting_field': '4.0.65934400.4', 'geometric_splitting_polynomials': [[2459, -134, 135, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.179.abu_bic', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.35.1', '2.0.232.1'], 'p': 179, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -46, 886, -8234, 32041], 'poly_str': '1 -46 886 -8234 32041 ', 'primitive_models': [], 'q': 179, 'real_poly': [1, -46, 528], 'simple_distinct': ['1.179.ay', '1.179.aw'], 'simple_factors': ['1.179.ayA', '1.179.awA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.65934400.4', 'splitting_polynomials': [[2459, -134, 135, -2, 1]], 'twist_count': 4, 'twists': [['2.179.ac_ago', '2.32041.ang_ffle', 2], ['2.179.c_ago', '2.32041.ang_ffle', 2], ['2.179.bu_bic', '2.32041.ang_ffle', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 505453
    {'base_label': '2.179.abu_bic', 'extension_degree': 1, 'extension_label': '1.179.ay', 'multiplicity': 1}
  • id: 505454
    {'base_label': '2.179.abu_bic', 'extension_degree': 1, 'extension_label': '1.179.aw', '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': '2.0.35.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.179.ay', 'galois_group': '2T1', 'places': [['83', '1'], ['95', '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': '2.0.232.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.179.aw', 'galois_group': '2T1', 'places': [['168', '1'], ['11', '1']]}