Abelian variety isogeny class data - 3.23.ah_cz_amc

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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_cyclic	boolean
  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
  noncyclic_primes	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[]
  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': 9992, 'abvar_counts': [9992, 180255680, 1850971037600, 21846195291008000, 266434961211355131352, 3244126571975020696448000, 39471305205920296314307566056, 480250149055064826753244362752000, 5843217822047486034876813563958936800, 71094365075796963966335435632331346046400], 'abvar_counts_str': '9992 180255680 1850971037600 21846195291008000 266434961211355131352 3244126571975020696448000 39471305205920296314307566056 480250149055064826753244362752000 5843217822047486034876813563958936800 71094365075796963966335435632331346046400 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.319926650126894, 0.416585689026064, 0.520795862163566], 'center_dim': 6, 'curve_count': 17, 'curve_counts': [17, 635, 12500, 278967, 6431507, 148034780, 3404801389, 78310885007, 1801154750300, 41426520702675], 'curve_counts_str': '17 635 12500 278967 6431507 148034780 3404801389 78310885007 1801154750300 41426520702675 ', 'curves': ['y^2=x^8+19*x^7+x^6+16*x^5+12*x^4+18*x^3+11*x^2+5*x', 'y^2=22*x^8+15*x^7+20*x^6+14*x^5+15*x^4+21*x^3+22*x^2+5*x', 'y^2=x^8+13*x^7+21*x^6+20*x^5+20*x^4+11*x^3+5*x^2+10*x', 'y^2=x^8+9*x^7+5*x^6+17*x^5+3*x^4+17*x^3+12*x^2+18*x', 'y^2=22*x^8+5*x^6+3*x^4+15*x^3+20*x^2+7*x+16', 'y^2=22*x^8+20*x^7+19*x^6+15*x^5+2*x^4+20*x^3+9*x^2+x+2', 'y^2=x^8+7*x^7+14*x^6+6*x^5+3*x^4+5*x^3+10*x+20', 'y^2=x^8+15*x^7+13*x^6+12*x^5+4*x^4+12*x^3+14*x^2+5*x+3', 'y^2=22*x^7+13*x^6+5*x^5+4*x^4+19*x^3+17*x^2+x+20', 'y^2=x^8+9*x^7+11*x^6+20*x^5+3*x^4+16*x^3+21*x^2+x+22', 'y^2=22*x^8+9*x^7+2*x^6+8*x^5+5*x^4+15*x^3+19*x^2+21*x+12', 'y^2=22*x^8+12*x^7+8*x^6+3*x^5+9*x^4+21*x^3+4*x^2+11*x+14', 'y^2=x^8+13*x^7+21*x^6+15*x^5+14*x^4+17*x^3+2*x^2+7*x+13', 'y^2=22*x^8+8*x^7+16*x^6+17*x^5+8*x^4+18*x^3+6*x^2+21*x+3', 'y^2=22*x^8+2*x^7+17*x^6+5*x^5+12*x^4+2*x^3+3*x+11', 'y^2=22*x^8+15*x^7+13*x^6+5*x^5+13*x^4+5*x^3+4*x^2+6*x+5', 'y^2=22*x^8+7*x^7+11*x^6+15*x^5+15*x^4+6*x^3+8*x^2+x'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['6T11'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T11'], 'geometric_number_fields': ['6.0.41578490624.1'], 'geometric_splitting_field': '6.0.41578490624.1', 'geometric_splitting_polynomials': [[9992, -824, 1236, -56, 57, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 17, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.23.ah_cz_amc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['6.0.41578490624.1'], 'p': 23, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -7, 77, -314, 1771, -3703, 12167], 'poly_str': '1 -7 77 -314 1771 -3703 12167 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, -7, 8, 8], 'simple_distinct': ['3.23.ah_cz_amc'], 'simple_factors': ['3.23.ah_cz_amcA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.41578490624.1', 'splitting_polynomials': [[9992, -824, 1236, -56, 57, -1, 1]], 'twist_count': 2, 'twists': [['3.23.h_cz_mc', '3.529.eb_hnf_iixq', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.23.ah_cz_amc', 'extension_degree': 1, 'extension_label': '3.23.ah_cz_amc', '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': '6.0.41578490624.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.23.ah_cz_amc', 'galois_group': '6T11', 'places': [['289/23', '167/23', '1', '493/23', '2/23', '528/23'], ['327/23', '411/23', '4', '64/23', '45/23', '518/23']]}