Abelian variety isogeny class data - 2.47.g_dz

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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': 2601, 'abvar_counts': [2601, 5267025, 10697351184, 23783909765625, 52611533192505681, 116192578948121145600, 256665544299761764840929, 566977462024427663628515625, 1252453152904122045519478766736, 2766668683338616723926406982150625], 'abvar_counts_str': '2601 5267025 10697351184 23783909765625 52611533192505681 116192578948121145600 256665544299761764840929 566977462024427663628515625 1252453152904122045519478766736 2766668683338616723926406982150625 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.570213408101568, 0.570213408101568], 'center_dim': 2, 'curve_count': 54, 'curve_counts': [54, 2380, 103032, 4874068, 229399074, 10779316990, 506620274382, 23811290421988, 1119130595587944, 52599131691643900], 'curve_counts_str': '54 2380 103032 4874068 229399074 10779316990 506620274382 23811290421988 1119130595587944 52599131691643900 ', 'curves': ['y^2=14*x^6+22*x^5+6*x^4+5*x^3+6*x^2+22*x+14', 'y^2=34*x^6+21*x^5+6*x^4+41*x^3+15*x^2+40*x+24', 'y^2=4*x^6+44*x^5+4*x^4+24*x^3+4*x^2+44*x+4', 'y^2=24*x^6+26*x^5+21*x^4+8*x^3+5*x^2+30*x+41', 'y^2=25*x^6+24*x^5+15*x^4+6*x^3+38*x^2+3*x+4', 'y^2=43*x^6+21*x^5+35*x^4+7*x^3+35*x^2+27*x+3', 'y^2=24*x^6+34*x^5+21*x^4+5*x^3+21*x^2+34*x+24', 'y^2=19*x^6+3*x^5+22*x^4+18*x^3+42*x^2+6*x+39', 'y^2=21*x^6+21*x^5+45*x^4+19*x^3+45*x^2+21*x+21', 'y^2=16*x^6+36*x^5+31*x^4+21*x^3+31*x^2+36*x+16', 'y^2=12*x^6+3*x^5+6*x^4+8*x^3+6*x^2+3*x+12', 'y^2=4*x^6+37*x^5+11*x^4+40*x^3+32*x^2+7*x+22', 'y^2=16*x^6+36*x^5+42*x^4+19*x^3+42*x^2+36*x+16', 'y^2=24*x^6+13*x^5+32*x^4+35*x^3+21*x^2+44*x+4', 'y^2=5*x^6+36*x^5+35*x^4+27*x^3+5*x^2+15*x+12', 'y^2=36*x^6+18*x^5+26*x^4+18*x^3+26*x^2+18*x+36', 'y^2=35*x^6+37*x^5+34*x^4+34*x^3+30*x^2+46*x+16', 'y^2=46*x^6+14*x^5+38*x^4+38*x^3+15*x^2+35*x+42', 'y^2=14*x^6+12*x^5+38*x^4+21*x^3+13*x^2+32*x+7', 'y^2=42*x^6+31*x^5+4*x^3+39*x+3', 'y^2=27*x^6+29*x^5+14*x^4+39*x^3+14*x^2+29*x+27', 'y^2=x^6+20*x^5+41*x^4+18*x^3+41*x^2+20*x+1', 'y^2=x^6+x^5+22*x^4+15*x^3+22*x^2+x+1', 'y^2=20*x^6+20*x^5+6*x^4+39*x^3+5*x^2+2*x+19', 'y^2=41*x^6+34*x^5+13*x^4+29*x^3+13*x^2+34*x+41', 'y^2=39*x^6+2*x^4+2*x^3+2*x^2+39', 'y^2=34*x^6+21*x^5+11*x^4+15*x^3+11*x^2+21*x+34', 'y^2=36*x^6+12*x^5+10*x^4+2*x^3+10*x^2+12*x+36', 'y^2=23*x^6+43*x^5+15*x^4+20*x^3+40*x^2+9*x+45', 'y^2=37*x^6+33*x^5+36*x^4+41*x^3+36*x^2+33*x+37', 'y^2=39*x^6+9*x^5+11*x^4+13*x^3+11*x^2+9*x+39', 'y^2=27*x^6+9*x^5+15*x^4+24*x^3+37*x^2+30*x+42', 'y^2=17*x^6+27*x^5+32*x^4+16*x^3+x^2+30*x+46', 'y^2=36*x^6+36*x^5+12*x^4+46*x^3+12*x^2+36*x+36', 'y^2=40*x^6+2*x^4+17*x^3+2*x^2+40', 'y^2=39*x^6+42*x^5+26*x^4+4*x^3+26*x^2+42*x+39', 'y^2=21*x^6+41*x^4+9*x^3+29*x^2+3', 'y^2=19*x^6+16*x^5+13*x^4+11*x^3+13*x^2+16*x+19', 'y^2=42*x^6+46*x^5+27*x^4+41*x^3+4*x^2+15*x+32', 'y^2=12*x^6+45*x^5+19*x^4+14*x^3+19*x^2+45*x+12', 'y^2=7*x^6+30*x^5+14*x^4+19*x^3+14*x^2+30*x+7', 'y^2=18*x^6+20*x^5+40*x^4+46*x^3+40*x^2+20*x+18', 'y^2=13*x^6+25*x^5+32*x^4+17*x^3+32*x^2+25*x+13', 'y^2=44*x^6+34*x^5+18*x^4+33*x^3+18*x^2+34*x+44', 'y^2=23*x^6+24*x^5+24*x^4+26*x^3+24*x^2+24*x+23', 'y^2=26*x^6+37*x^5+2*x^4+44*x^3+2*x^2+37*x+26', 'y^2=12*x^6+4*x^5+17*x^4+7*x^3+23*x^2+28*x+6', 'y^2=x^6+27*x^5+26*x^4+14*x^3+26*x^2+27*x+1', 'y^2=45*x^6+12*x^5+22*x^4+23*x^3+4*x^2+19*x+32', 'y^2=37*x^6+45*x^5+36*x^4+23*x^3+36*x^2+45*x+37'], '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': ['2.0.179.1'], 'geometric_splitting_field': '2.0.179.1', 'geometric_splitting_polynomials': [[45, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 50, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 50, 'label': '2.47.g_dz', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.179.1'], 'p': 47, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 6, 103, 282, 2209], 'poly_str': '1 6 103 282 2209 ', 'primitive_models': [], 'q': 47, 'real_poly': [1, 6, 9], 'simple_distinct': ['1.47.d'], 'simple_factors': ['1.47.dA', '1.47.dB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.179.1', 'splitting_polynomials': [[45, -1, 1]], 'twist_count': 6, 'twists': [['2.47.ag_dz', '2.2209.go_rfv', 2], ['2.47.a_dh', '2.2209.go_rfv', 2], ['2.47.ad_abm', '2.103823.abem_utdu', 3], ['2.47.a_adh', '2.4879681.aihy_bmpoqd', 4], ['2.47.d_abm', '2.10779215329.fuka_dadyekpy', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.47.g_dz', 'extension_degree': 1, 'extension_label': '1.47.d', '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': '2.0.179.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.47.d', 'galois_group': '2T1', 'places': [['1', '1'], ['45', '1']]}