Abelian variety isogeny class data - 2.79.be_oq

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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': 9022, 'abvar_counts': [9022, 38090884, 243043486582, 1517489167321296, 9467924844424720102, 59091705798847204113124, 368790058155107706007918222, 2301619144574035366279355520000, 14364405056633461212566660632571182, 89648252000908575912313447209007130404], 'abvar_counts_str': '9022 38090884 243043486582 1517489167321296 9467924844424720102 59091705798847204113124 368790058155107706007918222 2301619144574035366279355520000 14364405056633461212566660632571182 89648252000908575912313447209007130404 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.768210038880182, 0.890348806862289], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 110, 'curve_counts': [110, 6102, 492950, 38959846, 3076942250, 243088256742, 19203905747570, 1517108812199038, 119851595958026990, 9468276085168490502], 'curve_counts_str': '110 6102 492950 38959846 3076942250 243088256742 19203905747570 1517108812199038 119851595958026990 9468276085168490502 ', 'curves': ['y^2=72*x^6+x^5+75*x^4+53*x^3+59*x^2+11*x+50', 'y^2=47*x^6+47*x^5+49*x^4+27*x^3+10*x^2+70*x+20', 'y^2=38*x^6+70*x^5+47*x^4+42*x^3+34*x^2+20*x+78', 'y^2=20*x^6+24*x^5+75*x^4+20*x^3+x^2+x+59', 'y^2=21*x^6+51*x^5+40*x^4+60*x^3+64*x^2+15*x+18', 'y^2=6*x^6+38*x^5+52*x^4+12*x^3+69*x^2+51*x+39', 'y^2=27*x^6+64*x^5+70*x^4+59*x^3+2*x^2+27*x+4', 'y^2=17*x^6+76*x^5+28*x^4+57*x^3+51*x^2+x'], '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, 'endomorphism_ring_count': 1, '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': ['4.0.726336.3'], 'geometric_splitting_field': '4.0.726336.3', 'geometric_splitting_polynomials': [[337, 2, 44, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.79.be_oq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.726336.3'], 'p': 79, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 30, 380, 2370, 6241], 'poly_str': '1 30 380 2370 6241 ', 'primitive_models': [], 'q': 79, 'real_poly': [1, 30, 222], 'simple_distinct': ['2.79.be_oq'], 'simple_factors': ['2.79.be_oqA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.726336.3', 'splitting_polynomials': [[337, 2, 44, -2, 1]], 'twist_count': 2, 'twists': [['2.79.abe_oq', '2.6241.afk_vss', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 5044, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.79.be_oq', 'extension_degree': 1, 'extension_label': '2.79.be_oq', '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': '4.0.726336.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.79.be_oq', 'galois_group': '4T3', 'places': [['738/79', '92/79', '6/79', '1/79'], ['71', '1', '0', '0']]}