Abelian variety isogeny class data - 2.193.abw_bkr

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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': 28891, 'abvar_counts': [28891, 1372755865, 51674261395648, 1925162249045013225, 71709054349001000898571, 2671085202046051401856061440, 99495244709299606963002110133547, 3706098381120943679692361479619466825, 138048458693824903603178283924213884362432, 5142167038127655204261331440393568199177536825], 'abvar_counts_str': '28891 1372755865 51674261395648 1925162249045013225 71709054349001000898571 2671085202046051401856061440 99495244709299606963002110133547 3706098381120943679692361479619466825 138048458693824903603178283924213884362432 5142167038127655204261331440393568199177536825 ', 'angle_rank': 2, 'angles': [0.0758389534121387, 0.227245037273972], 'center_dim': 4, 'curve_count': 146, 'curve_counts': [146, 36852, 7187906, 1387516324, 267785742386, 51682544504574, 9974730289189490, 1925122951498529476, 371548729896116198978, 71708904873316415192532], 'curve_counts_str': '146 36852 7187906 1387516324 267785742386 51682544504574 9974730289189490 1925122951498529476 371548729896116198978 71708904873316415192532 ', 'curves': ['y^2=185*x^6+136*x^5+154*x^4+191*x^3+27*x^2+146*x+37', 'y^2=41*x^6+123*x^5+160*x^4+29*x^3+13*x^2+2*x+189', 'y^2=88*x^6+153*x^5+35*x^4+131*x^3+103*x^2+125*x+142', 'y^2=53*x^6+118*x^5+94*x^4+25*x^3+94*x^2+118*x+53', 'y^2=73*x^6+36*x^5+166*x^4+126*x^3+141*x^2+146*x+5', 'y^2=111*x^6+x^5+149*x^4+138*x^3+150*x^2+25*x+165', 'y^2=127*x^6+150*x^5+26*x^4+144*x^3+26*x^2+150*x+127', 'y^2=91*x^6+92*x^5+48*x^4+145*x^3+147*x^2+137*x+50', 'y^2=9*x^6+179*x^5+173*x^4+41*x^3+173*x^2+179*x+9', 'y^2=72*x^6+112*x^5+82*x^4+97*x^3+82*x^2+112*x+72', 'y^2=49*x^6+183*x^5+162*x^4+131*x^3+104*x^2+70*x+185', 'y^2=10*x^6+190*x^5+32*x^4+168*x^3+189*x^2+175*x+163', 'y^2=75*x^6+168*x^5+88*x^4+88*x^3+8*x^2+58*x+12', 'y^2=172*x^6+137*x^5+159*x^4+37*x^3+159*x^2+137*x+172', 'y^2=2*x^6+94*x^5+116*x^4+166*x^3+79*x^2+15*x+60', 'y^2=112*x^6+143*x^5+17*x^4+99*x^3+56*x^2+109*x+98', 'y^2=142*x^6+98*x^5+39*x^4+90*x^3+92*x^2+7*x+104', 'y^2=4*x^6+138*x^5+15*x^4+9*x^3+129*x^2+73*x+88', 'y^2=121*x^6+86*x^5+122*x^4+6*x^3+16*x^2+90*x+160', 'y^2=121*x^6+58*x^5+90*x^4+48*x^3+77*x^2+118*x+1', 'y^2=53*x^6+106*x^5+24*x^4+143*x^3+151*x^2+40*x+140', 'y^2=60*x^6+23*x^5+184*x^4+24*x^3+118*x^2+72*x+85', 'y^2=133*x^6+147*x^5+73*x^4+138*x^3+73*x^2+147*x+133', 'y^2=171*x^6+64*x^5+58*x^4+95*x^3+85*x^2+189*x+8', 'y^2=66*x^6+120*x^5+53*x^4+84*x^3+53*x^2+120*x+66', 'y^2=55*x^6+118*x^5+183*x^4+133*x^3+183*x^2+118*x+55', 'y^2=81*x^6+102*x^5+27*x^4+103*x^3+127*x^2+148*x+102', 'y^2=131*x^6+85*x^5+29*x^4+11*x^3+29*x^2+85*x+131', 'y^2=87*x^6+114*x^5+39*x^4+96*x^3+80*x^2+99*x+61', 'y^2=25*x^6+180*x^5+170*x^4+94*x^3+3*x^2+160*x+162', 'y^2=29*x^6+29*x^5+104*x^4+187*x^3+61*x^2+21', 'y^2=17*x^6+171*x^5+125*x^4+32*x^3+10*x^2+26*x+160', 'y^2=63*x^6+50*x^5+155*x^4+99*x^3+73*x^2+94*x+135'], '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': ['2.0.43.1', '2.0.331.1'], 'geometric_splitting_field': '4.0.202578289.1', 'geometric_splitting_polynomials': [[5184, 0, 187, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 33, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'jacobian_count': 33, 'label': '2.193.abw_bkr', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['2.0.43.1', '2.0.331.1'], 'p': 193, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -48, 953, -9264, 37249], 'poly_str': '1 -48 953 -9264 37249 ', 'primitive_models': [], 'q': 193, 'real_poly': [1, -48, 567], 'simple_distinct': ['1.193.abb', '1.193.av'], 'simple_factors': ['1.193.abbA', '1.193.avA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.202578289.1', 'splitting_polynomials': [[5184, 0, 187, 0, 1]], 'twist_count': 4, 'twists': [['2.193.ag_agz', '2.37249.api_ficx', 2], ['2.193.g_agz', '2.37249.api_ficx', 2], ['2.193.bw_bkr', '2.37249.api_ficx', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 595943
    {'base_label': '2.193.abw_bkr', 'extension_degree': 1, 'extension_label': '1.193.abb', 'multiplicity': 1}
  • id: 595944
    {'base_label': '2.193.abw_bkr', 'extension_degree': 1, 'extension_label': '1.193.av', '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': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.193.abb', 'galois_group': '2T1', 'places': [['179', '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': '2.0.331.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.193.av', 'galois_group': '2T1', 'places': [['182', '1'], ['10', '1']]}