Abelian variety isogeny class data - 3.17.aj_cf_ajt

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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': 3077, 'abvar_counts': [3077, 27086831, 119829829517, 583868804192119, 2867972070538621117, 14064054012578561260751, 69089170804796240202689344, 339460954511720203443571661223, 1667727810693777228525235491670133, 8193452253037999184106068934959381231], 'abvar_counts_str': '3077 27086831 119829829517 583868804192119 2867972070538621117 14064054012578561260751 69089170804796240202689344 339460954511720203443571661223 1667727810693777228525235491670133 8193452253037999184106068934959381231 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.169376685505408, 0.345923157333197, 0.575735532212225], 'center_dim': 6, 'curve_count': 9, 'curve_counts': [9, 323, 4965, 83699, 1422609, 24139235, 410322264, 6976009859, 118589048961, 2015990585483], 'curve_counts_str': '9 323 4965 83699 1422609 24139235 410322264 6976009859 118589048961 2015990585483 ', 'curves': ['y^2=3*x^7+4*x^5+10*x^4+5*x^2+6', 'y^2=3*x^7+3*x^5+15*x^4+14*x^3+11*x^2+x+7', 'y^2=3*x^7+9*x^5+7*x^4+16*x^3+13*x+10', 'y^2=x^7+10*x^5+13*x^4+5*x^3+16*x^2+10*x+12', 'y^2=x^7+12*x^5+4*x^4+12*x^3+x^2+3*x+12', 'y^2=x^7+5*x^5+2*x^3+9*x+12', 'y^2=x^7+8*x^5+2*x^4+4*x^3+10*x^2+3*x+11', 'y^2=x^7+4*x^5+2*x^4+14*x^3+x^2+7*x+12', 'y^2=x^7+12*x^5+4*x^4+6*x^3+14*x^2+16*x+7', 'y^2=3*x^7+13*x^5+11*x^4+10*x^3+15*x^2+3', 'y^2=x^7+9*x^5+12*x^4+9*x^3+15*x^2+2', 'y^2=x^7+11*x^5+4*x^4+12*x^3+15*x^2+11*x+3', 'y^2=3*x^7+5*x^5+5*x^4+4*x^3+11*x^2+10*x+1', 'y^2=x^7+13*x^5+10*x^4+5*x^3+8*x^2+x+6', 'y^2=x^7+12*x^5+14*x^4+7*x^3+5*x^2+14*x+1', 'y^2=x^7+14*x^5+3*x^4+x^3+3*x^2+x+6', 'y^2=3*x^7+2*x^5+6*x^4+6*x^3+8*x^2+3*x+11', 'y^2=x^7+9*x^5+14*x^4+x^3+3*x^2+8*x+12'], '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': ['6T6'], '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': ['6T6'], 'geometric_number_fields': ['6.0.392918607.1'], 'geometric_splitting_field': '6.0.392918607.1', 'geometric_splitting_polynomials': [[1088, -288, 396, -59, 36, -3, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 18, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.17.aj_cf_ajt', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['6.0.392918607.1'], 'p': 17, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -9, 57, -253, 969, -2601, 4913], 'poly_str': '1 -9 57 -253 969 -2601 4913 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, -9, 6, 53], 'simple_distinct': ['3.17.aj_cf_ajt'], 'simple_factors': ['3.17.aj_cf_ajtA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.392918607.1', 'splitting_polynomials': [[1088, -288, 396, -59, 36, -3, 1]], 'twist_count': 2, 'twists': [['3.17.j_cf_jt', '3.289.bh_yj_oab', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.17.aj_cf_ajt', 'extension_degree': 1, 'extension_label': '3.17.aj_cf_ajt', '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', '0', '0'], 'center': '6.0.392918607.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.17.aj_cf_ajt', 'galois_group': '6T6', 'places': [['8', '1', '0', '0', '0', '0'], ['9', '144/17', '249/17', '98/17', '22/17', '215/17'], ['0', '1', '0', '0', '0', '0'], ['5', '1', '0', '0', '0', '0'], ['11', '1', '0', '0', '0', '0'], ['11', '47/17', '156/17', '53/17', '142/17', '88/17']]}