Abelian variety isogeny class data - 2.41.au_gv

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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': 1019, 'abvar_counts': [1019, 2750281, 4761110384, 7989635062025, 13422763808553979, 22563165608669092096, 37929143594698973338859, 63759042502908302154118025, 107178946498374746323041553904, 180167789061443155593076886768041], 'abvar_counts_str': '1019 2750281 4761110384 7989635062025 13422763808553979 22563165608669092096 37929143594698973338859 63759042502908302154118025 107178946498374746323041553904 180167789061443155593076886768041 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0953421678685237, 0.292668588087481], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 22, 'curve_counts': [22, 1636, 69082, 2827428, 115857102, 4750035886, 194753844622, 7984926680388, 327381981833482, 13422659764981956], 'curve_counts_str': '22 1636 69082 2827428 115857102 4750035886 194753844622 7984926680388 327381981833482 13422659764981956 ', 'curves': ['y^2=15*x^6+17*x^5+20*x^4+38*x^3+34*x^2+23*x+3', 'y^2=27*x^6+4*x^5+3*x^4+8*x^3+29*x^2+2*x+24', 'y^2=28*x^6+39*x^5+17*x^4+9*x^3+10*x^2+8*x+26', 'y^2=6*x^6+17*x^5+37*x^4+5*x^3+23*x^2+39*x+10', 'y^2=22*x^6+32*x^5+11*x^4+34*x^3+34*x+38', 'y^2=28*x^6+15*x^5+15*x^4+22*x^3+24*x^2+15*x+17', 'y^2=30*x^6+29*x^5+29*x^4+9*x^2+14*x+15', 'y^2=11*x^6+20*x^5+8*x^4+33*x^3+40*x^2+24*x+14', 'y^2=17*x^6+2*x^5+21*x^4+30*x^3+2*x^2+10*x+15', 'y^2=11*x^6+22*x^5+16*x^4+6*x^2+24*x+11', 'y^2=22*x^6+16*x^5+32*x^4+34*x^3+24*x^2+23*x+32', 'y^2=6*x^6+18*x^5+12*x^4+26*x^3+28*x^2+21*x+34', 'y^2=6*x^6+34*x^5+38*x^4+12*x^3+39*x^2+25*x+32', 'y^2=16*x^6+40*x^5+18*x^4+11*x^3+13*x^2+36*x+19'], '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': 2, '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': ['4.0.37025.1'], 'geometric_splitting_field': '4.0.37025.1', 'geometric_splitting_polynomials': [[100, -10, 19, -1, 1]], 'group_structure_count': 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, 'is_supersingular': False, 'jacobian_count': 14, 'label': '2.41.au_gv', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.37025.1'], 'p': 41, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -20, 177, -820, 1681], 'poly_str': '1 -20 177 -820 1681 ', 'primitive_models': [], 'q': 41, 'real_poly': [1, -20, 95], 'simple_distinct': ['2.41.au_gv'], 'simple_factors': ['2.41.au_gvA'], 'simple_multiplicities': [1], 'singular_primes': ['2,3*F^2-V+20'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.37025.1', 'splitting_polynomials': [[100, -10, 19, -1, 1]], 'twist_count': 2, 'twists': [['2.41.u_gv', '2.1681.abu_cut', 2]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 1481, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,3*F^2-V+20']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.41.au_gv', 'extension_degree': 1, 'extension_label': '2.41.au_gv', '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'], 'center': '4.0.37025.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.41.au_gv', 'galois_group': '4T3', 'places': [['39', '1', '0', '0'], ['35', '1', '0', '0'], ['36', '1', '0', '0'], ['12', '1', '0', '0']]}