Abelian variety isogeny class data - 2.193.abz_bns

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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': 28388, 'abvar_counts': [28388, 1367620288, 51651753544208, 1925098953201074944, 71708945830468264883588, 2671085177800605442004463616, 99495245169024428285528865699524, 3706098381978392268086641804924996608, 138048458688833571732628872547016051001872, 5142167038082156588264057462510315958977745088], 'abvar_counts_str': '28388 1367620288 51651753544208 1925098953201074944 71708945830468264883588 2671085177800605442004463616 99495245169024428285528865699524 3706098381978392268086641804924996608 138048458688833571732628872547016051001872 5142167038082156588264057462510315958977745088 ', 'angle_rank': 2, 'angles': [0.0403859860472373, 0.180450830900315], 'center_dim': 4, 'curve_count': 143, 'curve_counts': [143, 36713, 7184774, 1387470705, 267785337143, 51682544035454, 9974730335278439, 1925122951943928865, 371548729882682343686, 71708904872681924733113], 'curve_counts_str': '143 36713 7184774 1387470705 267785337143 51682544035454 9974730335278439 1925122951943928865 371548729882682343686 71708904872681924733113 ', 'curves': ['y^2=160*x^6+118*x^5+105*x^4+38*x^3+85*x^2+159*x+13', 'y^2=29*x^6+60*x^5+154*x^4+17*x^3+68*x^2+56*x+17', 'y^2=173*x^6+61*x^5+73*x^4+148*x^3+145*x^2+47*x+59', 'y^2=28*x^6+118*x^5+135*x^4+23*x^3+91*x^2+61*x+174', 'y^2=134*x^6+16*x^5+124*x^4+187*x^3+16*x^2+66*x+47', 'y^2=44*x^6+51*x^5+160*x^4+187*x^3+32*x^2+188*x+156', 'y^2=146*x^6+179*x^5+190*x^4+102*x^3+31*x^2+42*x+35', 'y^2=52*x^6+91*x^5+173*x^4+135*x^3+149*x^2+173*x+65', 'y^2=143*x^6+161*x^5+30*x^4+39*x^3+x^2+191*x+98', 'y^2=121*x^6+77*x^5+97*x^4+19*x^3+184*x^2+135*x+186', 'y^2=170*x^6+21*x^5+131*x^4+132*x^3+89*x^2+171*x+51', 'y^2=177*x^6+58*x^5+108*x^4+91*x^3+146*x^2+189*x+60', 'y^2=92*x^6+179*x^5+167*x^4+134*x^3+79*x^2+166*x+68', 'y^2=80*x^6+81*x^5+175*x^4+153*x^3+47*x^2+77*x+171'], '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': ['4.0.49708.1'], 'geometric_splitting_field': '4.0.49708.1', 'geometric_splitting_polynomials': [[19, 11, 8, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 14, 'label': '2.193.abz_bns', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.49708.1'], 'p': 193, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -51, 1032, -9843, 37249], 'poly_str': '1 -51 1032 -9843 37249 ', 'primitive_models': [], 'q': 193, 'real_poly': [1, -51, 646], 'simple_distinct': ['2.193.abz_bns'], 'simple_factors': ['2.193.abz_bnsA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.49708.1', 'splitting_polynomials': [[19, 11, 8, -1, 1]], 'twist_count': 2, 'twists': [['2.193.bz_bns', '2.37249.aur_hsmy', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.193.abz_bns', 'extension_degree': 1, 'extension_label': '2.193.abz_bns', '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': '4.0.49708.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.193.abz_bns', 'galois_group': '4T3', 'places': [['9', '179', '176', '176'], ['179', '61', '52', '52']]}