Abelian variety isogeny class data - 2.179.abu_bia

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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': 24646, 'abvar_counts': [24646, 1015563076, 32893857764062, 1054016669103091408, 33770157588649505674366, 1082023235088495263311039204, 34669090274492962305437062942438, 1110832291672720114917396212760425472, 35592177421715631845628531861353387918518, 1140408956763986346477720327973176807883078756], 'abvar_counts_str': '24646 1015563076 32893857764062 1054016669103091408 33770157588649505674366 1082023235088495263311039204 34669090274492962305437062942438 1110832291672720114917396212760425472 35592177421715631845628531861353387918518 1140408956763986346477720327973176807883078756 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.124666363590315, 0.207564932480373], 'center_dim': 4, 'curve_count': 134, 'curve_counts': [134, 31694, 5735294, 1026680598, 183767172154, 32894129732366, 5888046470590978, 1053960289949796574, 188658891711412168742, 33769941616188670342814], 'curve_counts_str': '134 31694 5735294 1026680598 183767172154 32894129732366 5888046470590978 1053960289949796574 188658891711412168742 33769941616188670342814 ', 'curves': ['y^2=144*x^6+103*x^5+121*x^4+153*x^3+116*x^2+117*x+173', 'y^2=35*x^6+84*x^5+72*x^4+33*x^3+97*x^2+85*x+109', 'y^2=x^6+153*x^5+87*x^4+131*x^3+60*x^2+167*x', 'y^2=133*x^6+74*x^5+164*x^4+169*x^3+104*x^2+174*x+41', 'y^2=88*x^6+88*x^5+54*x^4+55*x^3+30*x^2+20*x+171', 'y^2=102*x^6+148*x^5+48*x^4+66*x^3+142*x^2+170*x+55', 'y^2=62*x^6+42*x^5+85*x^4+3*x^3+86*x^2+130*x+161', 'y^2=78*x^5+44*x^4+136*x^3+127*x^2+168*x+104', 'y^2=4*x^6+61*x^5+56*x^4+78*x^3+56*x^2+159*x+176', 'y^2=176*x^6+108*x^5+34*x^4+31*x^3+91*x^2+6*x+157', 'y^2=107*x^6+16*x^5+90*x^4+176*x^3+73*x^2+147*x+4', 'y^2=114*x^6+74*x^5+83*x^4+141*x^3+50*x^2+73*x+42', 'y^2=165*x^6+44*x^5+160*x^4+67*x^3+95*x^2+13*x+174', 'y^2=175*x^6+60*x^5+117*x^4+156*x^3+29*x^2+26*x+141', 'y^2=131*x^6+125*x^5+129*x^4+82*x^3+38*x^2+137*x+112', 'y^2=167*x^6+11*x^5+130*x^4+17*x^3+102*x^2+27*x+133', 'y^2=161*x^6+57*x^5+6*x^4+35*x^3+85*x^2+80*x+42', 'y^2=53*x^6+90*x^5+178*x^4+145*x^3+18*x^2+38*x+21', 'y^2=24*x^6+25*x^5+122*x^4+154*x^3+129*x^2+95*x+98', 'y^2=113*x^6+40*x^5+67*x^4+32*x^3+76*x^2+160*x+68', 'y^2=139*x^6+46*x^5+123*x^4+65*x^3+86*x^2+12*x+73', 'y^2=162*x^6+67*x^5+22*x^4+109*x^3+76*x^2+49*x+156', 'y^2=96*x^6+29*x^5+97*x^4+30*x^3+105*x^2+41*x+118', 'y^2=32*x^6+151*x^5+16*x^4+12*x^3+49*x^2+160*x+72'], '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': ['4.0.3961152.8'], 'geometric_splitting_field': '4.0.3961152.8', 'geometric_splitting_polynomials': [[1777, -22, 92, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.179.abu_bia', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.3961152.8'], 'p': 179, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -46, 884, -8234, 32041], 'poly_str': '1 -46 884 -8234 32041 ', 'primitive_models': [], 'q': 179, 'real_poly': [1, -46, 526], 'simple_distinct': ['2.179.abu_bia'], 'simple_factors': ['2.179.abu_biaA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3961152.8', 'splitting_polynomials': [[1777, -22, 92, -2, 1]], 'twist_count': 2, 'twists': [['2.179.bu_bia', '2.32041.ank_fafa', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.179.abu_bia', 'extension_degree': 1, 'extension_label': '2.179.abu_bia', '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', '0', '0'], 'center': '4.0.3961152.8', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.179.abu_bia', 'galois_group': '4T3', 'places': [['171', '1', '0', '0'], ['30', '1', '0', '0'], ['27195/179', '31287/179', '59/179', '32029/179'], ['12696/179', '31287/179', '59/179', '32029/179']]}