Abelian variety isogeny class data - 2.89.as_jz

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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': 6561, 'abvar_counts': [6561, 64304361, 499345742736, 3937396214255625, 31180702656649026321, 246989019636321317093376, 1956410595270994310166445281, 15496732087321006565712279455625, 122749610425121547646457959713319056, 972299657969890306789527355938573503241], 'abvar_counts_str': '6561 64304361 499345742736 3937396214255625 31180702656649026321 246989019636321317093376 1956410595270994310166445281 15496732087321006565712279455625 122749610425121547646457959713319056 972299657969890306789527355938573503241 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.341724512740004, 0.341724512740004], 'center_dim': 2, 'curve_count': 72, 'curve_counts': [72, 8116, 708318, 62755108, 5583877272, 496978506286, 44231326047288, 3936588973904068, 350356406008796622, 31181719935708009556], 'curve_counts_str': '72 8116 708318 62755108 5583877272 496978506286 44231326047288 3936588973904068 350356406008796622 31181719935708009556 ', 'curves': ['y^2=15*x^6+66*x^5+76*x^4+77*x^3+62*x^2+83*x+37', 'y^2=24*x^6+28*x^5+77*x^4+56*x^3+36*x^2+28*x+20', 'y^2=30*x^6+30*x^5+65*x^4+76*x^3+46*x^2+26*x+87', 'y^2=65*x^6+22*x^5+2*x^4+43*x^3+35*x^2+83*x+49', 'y^2=35*x^6+33*x^5+37*x^4+77*x^3+13*x^2+41*x+37', 'y^2=37*x^6+24*x^5+28*x^4+48*x^3+46*x^2+39*x+57', 'y^2=x^6+29*x^5+66*x^4+88*x^3+68*x^2+16*x+3', 'y^2=19*x^6+83*x^5+40*x^4+73*x^3+77*x^2+33*x+68', 'y^2=32*x^6+67*x^5+70*x^4+9*x^3+16*x^2+72*x+80', 'y^2=32*x^6+x^5+58*x^4+47*x^3+35*x^2+30*x+87', 'y^2=86*x^6+67*x^5+40*x^4+42*x^3+3*x^2+5*x+18', 'y^2=82*x^6+87*x^5+65*x^4+45*x^3+75*x^2+50*x+65', 'y^2=36*x^6+17*x^5+32*x^4+44*x^3+3*x^2+84*x+84', 'y^2=6*x^6+70*x^5+76*x^4+80*x^3+30*x^2+31*x+77', 'y^2=41*x^6+85*x^5+86*x^3+49*x^2+65*x+22', 'y^2=7*x^6+44*x^5+28*x^4+3*x^3+67*x^2+73*x+73', 'y^2=24*x^6+18*x^5+51*x^4+3*x^3+61*x^2+47*x+29', 'y^2=35*x^6+84*x^5+25*x^4+10*x^3+57*x^2+62*x+68', 'y^2=66*x^6+81*x^5+87*x^4+42*x^3+18*x^2+64*x+35', 'y^2=21*x^6+5*x^5+58*x^4+25*x^3+33*x^2+9*x+39', 'y^2=5*x^6+11*x^5+2*x^4+5*x^3+54*x^2+9*x+68', 'y^2=52*x^6+42*x^5+8*x^4+69*x^3+11*x^2+21*x+58', 'y^2=88*x^6+76*x^5+25*x^4+67*x^3+5*x^2+60*x+42', 'y^2=19*x^6+69*x^5+11*x^4+52*x^3+88*x^2+55*x+27', 'y^2=57*x^6+28*x^5+30*x^4+85*x^3+19*x^2+14*x+67', 'y^2=x^6+45*x^5+29*x^4+87*x^3+45*x^2+44*x+30', 'y^2=56*x^6+17*x^5+63*x^4+75*x^3+2*x^2+26*x+48', 'y^2=82*x^6+27*x^5+77*x^4+69*x^3+6*x^2+29*x+12', 'y^2=45*x^6+38*x^5+24*x^4+63*x^3+37*x^2+35*x+80', 'y^2=28*x^6+80*x^5+10*x^4+12*x^3+10*x^2+80*x+28', 'y^2=5*x^6+53*x^5+30*x^4+65*x^3+81*x^2+13*x+8', 'y^2=63*x^6+72*x^5+43*x^4+5*x^3+83*x^2+84*x+27', 'y^2=20*x^6+69*x^5+55*x^4+32*x^3+44*x^2+14*x+26', 'y^2=70*x^6+73*x^5+9*x^4+88*x^3+16*x^2+67*x+3', 'y^2=66*x^6+65*x^5+49*x^4+70*x^3+68*x^2+41*x+7', 'y^2=14*x^6+35*x^5+38*x^4+69*x^3+28*x^2+37*x+54', 'y^2=16*x^6+80*x^5+43*x^4+37*x^3+66*x^2+20*x+2', 'y^2=77*x^6+16*x^5+74*x^4+21*x^3+44*x^2+5*x+78', 'y^2=81*x^6+6*x^5+18*x^4+45*x^3+58*x^2+80*x+12', 'y^2=44*x^6+32*x^5+20*x^4+x^3+2*x^2+11*x+36', 'y^2=80*x^6+12*x^5+42*x^4+64*x^3+71*x^2+24*x+84', 'y^2=65*x^6+61*x^5+30*x^4+32*x^3+33*x^2+48*x+30', 'y^2=69*x^6+7*x^5+4*x^4+47*x^2+22*x+22', 'y^2=83*x^6+19*x^5+15*x^4+19*x^3+x^2+5*x+30', 'y^2=61*x^6+33*x^5+86*x^4+80*x^3+50*x^2+19*x+78', 'y^2=61*x^6+50*x^5+56*x^4+46*x^3+52*x^2+64*x+13', 'y^2=33*x^6+39*x^5+88*x^4+8*x^3+69*x^2+25*x+26', 'y^2=21*x^6+48*x^5+71*x^4+70*x^3+18*x^2+48*x+68', 'y^2=78*x^6+35*x^5+78*x^4+61*x^3+39*x^2+x+5', 'y^2=45*x^6+82*x^5+6*x^4+59*x^3+73*x^2+61*x+79', 'y^2=74*x^6+26*x^5+22*x^4+3*x^3+x^2+30*x+68', 'y^2=62*x^6+83*x^5+20*x^4+17*x^3+47*x^2+75*x+70', 'y^2=83*x^6+34*x^5+83*x^4+25*x^3+35*x^2+84*x+76', 'y^2=56*x^6+48*x^5+69*x^4+81*x^3+2*x^2+61*x+27', 'y^2=83*x^6+75*x^5+43*x^4+10*x^3+14*x^2+5*x+26', 'y^2=6*x^6+58*x^5+70*x^4+19*x^3+75*x^2+13*x+74', 'y^2=16*x^6+74*x^5+30*x^4+51*x^3+46*x^2+30*x+34', 'y^2=19*x^6+18*x^5+30*x^4+17*x^3+48*x^2+4*x+16', 'y^2=58*x^6+30*x^5+37*x^4+2*x^3+63*x^2+52*x+74', 'y^2=76*x^6+10*x^5+79*x^4+13*x^3+14*x^2+51*x+76', 'y^2=43*x^6+82*x^5+29*x^4+83*x^3+30*x^2+65*x+28', 'y^2=82*x^6+57*x^5+23*x^4+13*x^3+48*x^2+25*x+83', 'y^2=53*x^6+80*x^5+59*x^4+44*x^3+60*x^2+53*x+21', 'y^2=52*x^6+10*x^5+6*x^4+80*x^3+77*x^2+69*x+60', 'y^2=28*x^6+76*x^5+67*x^4+50*x^3+8*x^2+38*x+3'], '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': ['2.0.11.1'], 'geometric_splitting_field': '2.0.11.1', 'geometric_splitting_polynomials': [[3, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 65, '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': 65, 'label': '2.89.as_jz', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['2.0.11.1'], 'p': 89, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -18, 259, -1602, 7921], 'poly_str': '1 -18 259 -1602 7921 ', 'primitive_models': [], 'q': 89, 'real_poly': [1, -18, 81], 'simple_distinct': ['1.89.aj'], 'simple_factors': ['1.89.ajA', '1.89.ajB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.11.1', 'splitting_polynomials': [[3, -1, 1]], 'twist_count': 6, 'twists': [['2.89.a_dt', '2.7921.hm_bljf', 2], ['2.89.s_jz', '2.7921.hm_bljf', 2], ['2.89.j_ai', '2.704969.eyu_jfrcg', 3], ['2.89.a_adt', '2.62742241.taw_obeccx', 4], ['2.89.aj_ai', '2.496981290961.agcliy_obdcodtxm', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.89.as_jz', 'extension_degree': 1, 'extension_label': '1.89.aj', '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': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.89.aj', 'galois_group': '2T1', 'places': [['52', '1'], ['36', '1']]}