Abelian variety isogeny class data - 2.59.ao_gl

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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': 2809, 'abvar_counts': [2809, 12609601, 42549788176, 146883807310969, 511063198294506649, 1779164344046286029056, 6193383552812345316442129, 21559183101255707483730697449, 75047499452054320467673436616976, 261240335532006814039769521262848801], 'abvar_counts_str': '2809 12609601 42549788176 146883807310969 511063198294506649 1779164344046286029056 6193383552812345316442129 21559183101255707483730697449 75047499452054320467673436616976 261240335532006814039769521262848801 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.349402864844186, 0.349402864844186], 'center_dim': 2, 'curve_count': 46, 'curve_counts': [46, 3620, 207172, 12121764, 714849386, 42179749526, 2488650415934, 146830476384964, 8662996153183708, 511116753354284900], 'curve_counts_str': '46 3620 207172 12121764 714849386 42179749526 2488650415934 146830476384964 8662996153183708 511116753354284900 ', 'curves': ['y^2=31*x^6+16*x^5+40*x^4+55*x^3+x^2+43*x+26', 'y^2=44*x^6+26*x^5+22*x^4+13*x^3+22*x^2+26*x+44', 'y^2=x^6+29*x^5+45*x^4+34*x^3+32*x^2+25*x+14', 'y^2=37*x^6+58*x^5+33*x^4+27*x^3+44*x^2+35*x+20', 'y^2=40*x^6+x^5+43*x^4+41*x^3+27*x^2+10*x+27', 'y^2=38*x^6+35*x^5+20*x^4+44*x^3+20*x^2+35*x+38', 'y^2=10*x^6+37*x^5+51*x^4+14*x^3+58*x^2+54', 'y^2=23*x^6+38*x^5+50*x^4+53*x^3+51*x^2+36*x+31', 'y^2=30*x^6+5*x^5+47*x^4+48*x^3+x^2+17*x+15', 'y^2=37*x^6+44*x^5+25*x^3+44*x+37', 'y^2=54*x^6+29*x^5+33*x^4+12*x^3+26*x^2+27*x+9', 'y^2=16*x^6+12*x^5+20*x^4+19*x^3+10*x^2+38*x+42', 'y^2=20*x^6+50*x^5+33*x^4+5*x^3+33*x^2+50*x+20', 'y^2=53*x^6+6*x^5+18*x^4+43*x^3+26*x^2+48*x+43', 'y^2=2*x^6+35*x^5+57*x^4+18*x^3+57*x^2+35*x+2', 'y^2=34*x^6+5*x^5+x^4+52*x^3+30*x^2+36*x+53', 'y^2=33*x^6+52*x^5+17*x^4+33*x^3+24*x^2+50*x+51'], 'dim1_distinct': 1, '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, 'g': 2, 'galois_groups': ['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': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.187.1'], 'geometric_splitting_field': '2.0.187.1', 'geometric_splitting_polynomials': [[47, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 17, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 17, 'label': '2.59.ao_gl', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.187.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -14, 167, -826, 3481], 'poly_str': '1 -14 167 -826 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, -14, 49], 'simple_distinct': ['1.59.ah'], 'simple_factors': ['1.59.ahA', '1.59.ahB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.187.1', 'splitting_polynomials': [[47, -1, 1]], 'twist_count': 6, 'twists': [['2.59.a_cr', '2.3481.fi_rix', 2], ['2.59.o_gl', '2.3481.fi_rix', 2], ['2.59.h_ak', '2.205379.cqy_crbfy', 3], ['2.59.a_acr', '2.12117361.gni_clqmlv', 4], ['2.59.ah_ak', '2.42180533641.abspyi_bdqrhmcyo', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.59.ao_gl', 'extension_degree': 1, 'extension_label': '1.59.ah', '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': '2.0.187.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.ah', 'galois_group': '2T1', 'places': [['55', '1'], ['3', '1']]}