Abelian variety isogeny class data - 2.43.as_fv

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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': 1209, 'abvar_counts': [1209, 3376737, 6321251664, 11677219158969, 21605367779837049, 39958222599622768896, 73885298568000353763537, 136614066546775480921010025, 252599333573498791197463353936, 467056161666081781768506278960577], 'abvar_counts_str': '1209 3376737 6321251664 11677219158969 21605367779837049 39958222599622768896 73885298568000353763537 136614066546775480921010025 252599333573498791197463353936 467056161666081781768506278960577 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0421616081609719, 0.375494941494305], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 26, 'curve_counts': [26, 1828, 79508, 3415588, 146966846, 6321140278, 271818394874, 11688203769796, 502592611936844, 21611482030503268], 'curve_counts_str': '26 1828 79508 3415588 146966846 6321140278 271818394874 11688203769796 502592611936844 21611482030503268 ', 'curves': ['y^2=x^6+34', 'y^2=34*x^6+2*x^5+6*x^4+30*x^3+17*x^2+29', 'y^2=23*x^6+23*x^5+25*x^4+15*x^3+25*x^2+23*x+23', 'y^2=9*x^6+9*x^5+15*x^4+40*x^3+6*x^2+42*x+42', 'y^2=5*x^6+38*x^5+20*x^4+26*x^3+20*x^2+38*x+5', 'y^2=x^6+3*x^3+30', 'y^2=34*x^6+2*x^5+15*x^4+29*x^3+28*x^2+32*x+20', 'y^2=x^6+x^3+26', 'y^2=39*x^6+26*x^5+28*x^4+37*x^3+x^2+18*x+8', 'y^2=x^6+x^3+5', 'y^2=12*x^6+3*x^5+18*x^4+37*x^3+29*x^2+19*x+37', 'y^2=26*x^6+18*x^5+27*x^4+15*x^3+15*x^2+15*x+19'], 'dim1_distinct': 2, '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, 'endomorphism_ring_count': 8, 'g': 2, 'galois_groups': ['2T1', '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': 6, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 12, 'label': '2.43.as_fv', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.3.1', '2.0.3.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 4], [2, 3, 1, 4], [1, 7, 1, 4]], 'poly': [1, -18, 151, -774, 1849], 'poly_str': '1 -18 151 -774 1849 ', 'primitive_models': [], 'principal_polarization_count': 15, 'q': 43, 'real_poly': [1, -18, 65], 'simple_distinct': ['1.43.an', '1.43.af'], 'simple_factors': ['1.43.anA', '1.43.afA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F^2+F+47', '7,-26*F+V+24'], 'size': 36, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 24, 'twists': [['2.43.ai_v', '2.1849.aw_acan', 2], ['2.43.i_v', '2.1849.aw_acan', 2], ['2.43.s_fv', '2.1849.aw_acan', 2], ['2.43.av_hi', '2.79507.a_agiuc', 3], ['2.43.ad_bu', '2.79507.a_agiuc', 3], ['2.43.a_adf', '2.79507.a_agiuc', 3], ['2.43.a_w', '2.79507.a_agiuc', 3], ['2.43.a_cj', '2.79507.a_agiuc', 3], ['2.43.d_bu', '2.79507.a_agiuc', 3], ['2.43.s_fv', '2.79507.a_agiuc', 3], ['2.43.v_hi', '2.79507.a_agiuc', 3], ['2.43.aba_jv', '2.6321363049.amroe_ddchyiqg', 6], ['2.43.aq_fu', '2.6321363049.amroe_ddchyiqg', 6], ['2.43.an_ew', '2.6321363049.amroe_ddchyiqg', 6], ['2.43.ak_eh', '2.6321363049.amroe_ddchyiqg', 6], ['2.43.af_as', '2.6321363049.amroe_ddchyiqg', 6], ['2.43.f_as', '2.6321363049.amroe_ddchyiqg', 6], ['2.43.k_eh', '2.6321363049.amroe_ddchyiqg', 6], ['2.43.n_ew', '2.6321363049.amroe_ddchyiqg', 6], ['2.43.q_fu', '2.6321363049.amroe_ddchyiqg', 6], ['2.43.ba_jv', '2.6321363049.amroe_ddchyiqg', 6], ['2.43.a_acj', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.a_aw', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.a_df', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12]], 'weak_equivalence_count': 8, 'zfv_index': 448, 'zfv_index_factorization': [[2, 6], [7, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 16, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 441, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,F^2+F+47', '7,-26*F+V+24']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 33672
    {'base_label': '2.43.as_fv', 'extension_degree': 1, 'extension_label': '1.43.an', 'multiplicity': 1}
  • id: 33673
    {'base_label': '2.43.as_fv', 'extension_degree': 1, 'extension_label': '1.43.af', 'multiplicity': 1}
  • id: 33674
    {'base_label': '2.43.as_fv', 'extension_degree': 2, 'extension_label': '1.1849.adf', 'multiplicity': 1}
  • id: 33675
    {'base_label': '2.43.as_fv', 'extension_degree': 2, 'extension_label': '1.1849.cj', 'multiplicity': 1}
  • id: 33676
    {'base_label': '2.43.as_fv', 'extension_degree': 3, 'extension_label': '1.79507.aua', 'multiplicity': 1}
  • id: 33677
    {'base_label': '2.43.as_fv', 'extension_degree': 3, 'extension_label': '1.79507.ua', 'multiplicity': 1}
  • id: 33678
    {'base_label': '2.43.as_fv', 'extension_degree': 6, 'extension_label': '1.6321363049.agiuc', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.an', 'galois_group': '2T1', 'places': [['36', '1'], ['6', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.af', 'galois_group': '2T1', 'places': [['36', '1'], ['6', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1849.adf', 'galois_group': '2T1', 'places': [['36', '1'], ['6', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1849.cj', 'galois_group': '2T1', 'places': [['36', '1'], ['6', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.79507.aua', 'galois_group': '2T1', 'places': [['36', '1'], ['6', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.79507.ua', 'galois_group': '2T1', 'places': [['6', '1'], ['36', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.6321363049.agiuc', 'galois_group': '2T1', 'places': [['36', '1'], ['6', '1']]}