Abelian variety isogeny class data - 2.89.o_it

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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': 9409, 'abvar_counts': [9409, 64818601, 494833461136, 3936488669722249, 31183299211319534449, 246989490375905590706176, 1956410442236255482070209729, 15496732408114329695571662674569, 122749609390261784537776742512448656, 972299657240317029575725253820536848201], 'abvar_counts_str': '9409 64818601 494833461136 3936488669722249 31183299211319534449 246989490375905590706176 1956410442236255482070209729 15496732408114329695571662674569 122749609390261784537776742512448656 972299657240317029575725253820536848201 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.620984762851808, 0.620984762851808], 'center_dim': 2, 'curve_count': 104, 'curve_counts': [104, 8180, 701918, 62740644, 5584342264, 496979453486, 44231322587416, 3936589055394244, 350356403055062222, 31181719912310542100], 'curve_counts_str': '104 8180 701918 62740644 5584342264 496979453486 44231322587416 3936589055394244 350356403055062222 31181719912310542100 ', 'curves': ['y^2=20*x^6+71*x^5+79*x^4+44*x^3+34*x^2+34*x+79', 'y^2=69*x^6+37*x^5+3*x^4+23*x^3+50*x^2+7*x+9', 'y^2=34*x^6+74*x^5+70*x^4+47*x^3+23*x^2+15*x+88', 'y^2=3*x^6+72*x^5+45*x^4+2*x^3+39*x^2+76*x+87', 'y^2=25*x^6+32*x^5+11*x^4+37*x^3+25*x^2+2*x+88', 'y^2=50*x^6+18*x^5+46*x^4+10*x^3+80*x^2+71*x+77', 'y^2=61*x^6+46*x^5+51*x^4+14*x^3+15*x^2+28*x+33', 'y^2=32*x^6+86*x^5+18*x^4+39*x^3+12*x^2+26*x+26', 'y^2=59*x^6+38*x^5+65*x^4+73*x^3+52*x^2+6*x+64', 'y^2=15*x^6+51*x^5+27*x^4+27*x^3+47*x^2+26*x+5', 'y^2=64*x^6+71*x^5+29*x^4+86*x^3+24*x^2+79*x+55', 'y^2=69*x^6+80*x^5+84*x^4+20*x^3+77*x^2+34*x+52', 'y^2=6*x^6+73*x^5+36*x^4+51*x^3+47*x^2+23*x+27', 'y^2=62*x^6+2*x^5+23*x^4+3*x^3+75*x^2+54*x+49', 'y^2=74*x^6+30*x^5+28*x^4+65*x^3+72*x^2+87*x+39', 'y^2=79*x^6+45*x^5+4*x^4+76*x^3+73*x^2+24*x+41', 'y^2=64*x^6+14*x^5+67*x^4+20*x^3+42*x^2+22*x+82', 'y^2=43*x^6+66*x^5+56*x^4+53*x^3+75*x^2+82*x+48', 'y^2=33*x^6+34*x^5+66*x^4+56*x^3+42*x^2+7*x+30', 'y^2=9*x^6+22*x^5+72*x^4+56*x^3+12*x^2+42*x+78', 'y^2=78*x^6+87*x^5+2*x^4+25*x^3+18*x^2+52*x+77', 'y^2=37*x^6+46*x^5+69*x^3+48*x^2+60*x+36', 'y^2=11*x^6+55*x^5+4*x^3+21*x+73', 'y^2=65*x^6+63*x^5+15*x^4+40*x^2+15*x+16', 'y^2=45*x^6+6*x^5+69*x^4+87*x^3+36*x^2+9*x+8', 'y^2=42*x^6+28*x^5+46*x^4+60*x^3+49*x^2+39*x+15', 'y^2=45*x^6+6*x^5+47*x^4+26*x^3+88*x^2+33*x+79', 'y^2=40*x^6+68*x^5+39*x^4+22*x^3+21*x^2+55*x+44', 'y^2=45*x^6+73*x^5+11*x^4+57*x^3+21*x^2+8*x+8', 'y^2=32*x^6+41*x^5+77*x^4+30*x^3+41*x^2+6*x+42', 'y^2=8*x^6+64*x^5+34*x^4+12*x^3+78*x^2+88*x+20', 'y^2=85*x^6+6*x^5+51*x^4+41*x^3+39*x^2+23*x+9', 'y^2=88*x^6+26*x^5+76*x^4+81*x^3+46*x^2+3*x+28', 'y^2=15*x^6+39*x^5+17*x^4+48*x^3+21*x^2+42*x+20', 'y^2=55*x^6+9*x^5+66*x^4+57*x^3+67*x^2+80*x+81', 'y^2=13*x^6+61*x^5+8*x^4+84*x^3+88*x^2+83*x+37', 'y^2=87*x^6+2*x^5+24*x^4+30*x^3+13*x^2+25*x+5', 'y^2=4*x^6+37*x^5+39*x^4+48*x^3+25*x^2+20*x+68', 'y^2=84*x^6+74*x^5+10*x^4+34*x^3+36*x^2+72*x+60', 'y^2=80*x^6+39*x^5+43*x^4+47*x^3+71*x^2+35*x+87', 'y^2=45*x^6+33*x^5+38*x^4+13*x^3+6*x^2+56*x+55', 'y^2=76*x^6+56*x^5+62*x^4+46*x^3+9*x^2+20*x+28'], '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': ['2.0.307.1'], 'geometric_splitting_field': '2.0.307.1', 'geometric_splitting_polynomials': [[77, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 42, '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': 42, 'label': '2.89.o_it', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [97], 'number_fields': ['2.0.307.1'], 'p': 89, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 14, 227, 1246, 7921], 'poly_str': '1 14 227 1246 7921 ', 'primitive_models': [], 'q': 89, 'real_poly': [1, 14, 49], 'simple_distinct': ['1.89.h'], 'simple_factors': ['1.89.hA', '1.89.hB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.307.1', 'splitting_polynomials': [[77, -1, 1]], 'twist_count': 6, 'twists': [['2.89.ao_it', '2.7921.jy_bwbj', 2], ['2.89.a_ez', '2.7921.jy_bwbj', 2], ['2.89.ah_abo', '2.704969.aenk_iesmw', 3], ['2.89.a_aez', '2.62742241.acjm_kpzwid', 4], ['2.89.h_abo', '2.496981290961.aeaoee_iuvzleric', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.89.o_it', 'extension_degree': 1, 'extension_label': '1.89.h', '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': '2.0.307.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.89.h', 'galois_group': '2T1', 'places': [['3', '1'], ['85', '1']]}