Abelian variety isogeny class data - 2.89.ba_nj

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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': 10609, 'abvar_counts': [10609, 62900761, 495188060416, 3938566940548009, 31180697988451651249, 246990191715104744574976, 1956411952203347379254339809, 15496730457371443754004669618249, 122749610057903882314202477941033216, 972299657965130409259265295864656645401], 'abvar_counts_str': '10609 62900761 495188060416 3938566940548009 31180697988451651249 246990191715104744574976 1956411952203347379254339809 15496730457371443754004669618249 122749610057903882314202477941033216 972299657965130409259265295864656645401 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.741949407250902, 0.741949407250902], 'center_dim': 2, 'curve_count': 116, 'curve_counts': [116, 7940, 702422, 62773764, 5583876436, 496980864686, 44231356725364, 3936588559852804, 350356404960670598, 31181719935555359300], 'curve_counts_str': '116 7940 702422 62773764 5583876436 496980864686 44231356725364 3936588559852804 350356404960670598 31181719935555359300 ', 'curves': ['y^2=59*x^6+57*x^5+3*x^4+46*x^3+38*x^2+8*x+6', 'y^2=24*x^6+25*x^5+6*x^4+6*x^3+80*x^2+19*x+47', 'y^2=72*x^6+74*x^5+47*x^4+24*x^3+69*x^2+72*x+61', 'y^2=46*x^6+55*x^5+36*x^4+35*x^3+51*x^2+41*x+50', 'y^2=20*x^6+72*x^5+56*x^4+8*x^3+49*x^2+69*x+68', 'y^2=30*x^6+57*x^5+50*x^4+50*x^3+4*x^2+76*x+9', 'y^2=28*x^6+2*x^5+72*x^4+70*x^3+5*x^2+67*x+33', 'y^2=79*x^6+30*x^5+2*x^4+23*x^3+65*x^2+47*x+68', 'y^2=81*x^6+88*x^5+50*x^4+37*x^3+63*x^2+87*x+43', 'y^2=88*x^6+78*x^5+21*x^4+32*x^3+25*x^2+50*x+79', 'y^2=16*x^6+23*x^5+53*x^4+47*x^3+20*x^2+6*x+8', 'y^2=39*x^6+84*x^5+56*x^4+87*x^3+41*x^2+49*x+25', 'y^2=7*x^6+79*x^5+28*x^4+52*x^3+86*x^2+21*x+37', 'y^2=80*x^6+48*x^5+51*x^4+56*x^3+61*x^2+45*x+30', 'y^2=80*x^6+30*x^5+19*x^4+61*x^3+16*x^2+69*x+30', 'y^2=57*x^6+49*x^5+74*x^4+4*x^3+49*x^2+84*x+32', 'y^2=71*x^6+29*x^5+74*x^3+85*x^2+3*x+6'], 'dim1_distinct': 1, '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'], 'geom_dim1_distinct': 1, '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.187.1'], 'geometric_splitting_field': '2.0.187.1', 'geometric_splitting_polynomials': [[47, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 17, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 17, 'label': '2.89.ba_nj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.187.1'], 'p': 89, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 26, 347, 2314, 7921], 'poly_str': '1 26 347 2314 7921 ', 'primitive_models': [], 'q': 89, 'real_poly': [1, 26, 169], 'simple_distinct': ['1.89.n'], 'simple_factors': ['1.89.nA', '1.89.nB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.187.1', 'splitting_polynomials': [[47, -1, 1]], 'twist_count': 6, 'twists': [['2.89.aba_nj', '2.7921.s_xol', 2], ['2.89.a_j', '2.7921.s_xol', 2], ['2.89.an_dc', '2.704969.adua_gqosk', 3], ['2.89.a_aj', '2.62742241.buqk_bfmezbf', 4], ['2.89.n_dc', '2.496981290961.aygpg_ezkqqrizu', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.89.ba_nj', 'extension_degree': 1, 'extension_label': '1.89.n', 'multiplicity': 2}
• 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': '2.0.187.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.89.n', 'galois_group': '2T1', 'places': [['6', '1'], ['82', '1']]}