Abelian variety isogeny class data - 2.29.ai_cw

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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': 676, 'abvar_counts': [676, 781456, 608806276, 500131840000, 420356032687396, 353776861855605136, 297562401813008099716, 250247882215148912640000, 210457346075006867372740516, 176994548956766044378792003216], 'abvar_counts_str': '676 781456 608806276 500131840000 420356032687396 353776861855605136 297562401813008099716 250247882215148912640000 210457346075006867372740516 176994548956766044378792003216 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.378881058409157, 0.378881058409157], 'center_dim': 2, 'curve_count': 22, 'curve_counts': [22, 926, 24958, 707118, 20494022, 594759566, 17250117998, 500249228638, 14507150229622, 420707168660606], 'curve_counts_str': '22 926 24958 707118 20494022 594759566 17250117998 500249228638 14507150229622 420707168660606 ', 'curves': ['y^2=11*x^6+28*x^5+27*x^4+19*x^3+15*x^2+9*x+3', 'y^2=19*x^6+8*x^4+8*x^2+19', 'y^2=24*x^6+22*x^5+9*x^4+x^3+6*x^2+13*x+20', 'y^2=7*x^6+24*x^5+8*x^4+12*x^3+16*x^2+28*x+16', 'y^2=26*x^6+x^5+22*x^4+3*x^3+19*x^2+27*x+11', 'y^2=13*x^6+7*x^5+17*x^4+3*x^3+14*x^2+20*x+5', 'y^2=21*x^6+22*x^5+21*x^4+17*x^3+20*x^2+23*x+3', 'y^2=20*x^6+5*x^5+26*x^4+3*x^3+27*x^2+28*x+7', 'y^2=26*x^6+25*x^4+18*x^3+10*x^2+7*x+10'], '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': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 9, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 9, 'label': '2.29.ai_cw', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 13], 'number_fields': ['2.0.4.1'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -8, 74, -232, 841], 'poly_str': '1 -8 74 -232 841 ', 'primitive_models': [], 'q': 29, 'real_poly': [1, -8, 16], 'simple_distinct': ['1.29.ae'], 'simple_factors': ['1.29.aeA', '1.29.aeB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.29.a_bq', '2.841.dg_fco', 2], ['2.29.i_cw', '2.841.dg_fco', 2], ['2.29.e_an', '2.24389.vw_hjmg', 3], ['2.29.au_gc', '2.707281.agi_dcwmw', 4], ['2.29.ao_du', '2.707281.agi_dcwmw', 4], ['2.29.ag_s', '2.707281.agi_dcwmw', 4], ['2.29.a_abq', '2.707281.agi_dcwmw', 4], ['2.29.g_s', '2.707281.agi_dcwmw', 4], ['2.29.o_du', '2.707281.agi_dcwmw', 4], ['2.29.u_gc', '2.707281.agi_dcwmw', 4], ['2.29.ae_an', '2.594823321.adqie_hdrbsyg', 6], ['2.29.a_abo', '2.500246412961.geffg_ohiteknco', 8], ['2.29.a_bo', '2.500246412961.geffg_ohiteknco', 8], ['2.29.ak_ct', '2.353814783205469041.bdfbzjw_hszuujhrzjlwg', 12], ['2.29.k_ct', '2.353814783205469041.bdfbzjw_hszuujhrzjlwg', 12]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.29.ai_cw', 'extension_degree': 1, 'extension_label': '1.29.ae', '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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.29.ae', 'galois_group': '2T1', 'places': [['17', '1'], ['12', '1']]}