Abelian variety isogeny class data - 2.113.au_hx

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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': 10695, 'abvar_counts': [10695, 163152225, 2078376975360, 26576979444185625, 339454360433080350975, 4334525326172307293798400, 55347519835852855933525884015, 706732541909901587637957665435625, 9024267967777865272754357332623866880, 115230877658328031447833918243959343980625], 'abvar_counts_str': '10695 163152225 2078376975360 26576979444185625 339454360433080350975 4334525326172307293798400 55347519835852855933525884015 706732541909901587637957665435625 9024267967777865272754357332623866880 115230877658328031447833918243959343980625 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0498602789897879, 0.514977563793621], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 94, 'curve_counts': [94, 12780, 1440418, 163001588, 18424222694, 2081952821790, 235260524111798, 26584441523944228, 3004041938852960194, 339456739024904787900], 'curve_counts_str': '94 12780 1440418 163001588 18424222694 2081952821790 235260524111798 26584441523944228 3004041938852960194 339456739024904787900 ', 'curves': ['y^2=64*x^6+18*x^5+79*x^4+69*x^3+19*x^2+65*x+107', 'y^2=84*x^6+36*x^5+34*x^4+44*x^3+29*x^2+14*x+44', 'y^2=89*x^6+87*x^5+31*x^4+56*x^3+31*x^2+87*x+89', 'y^2=89*x^6+6*x^5+69*x^4+42*x^3+29*x^2+80*x+107', 'y^2=22*x^6+3*x^5+76*x^4+28*x^3+32*x^2+69*x+19', 'y^2=72*x^6+26*x^5+95*x^4+42*x^3+27*x^2+4*x+9', 'y^2=11*x^6+63*x^5+81*x^4+105*x^3+70*x^2+83*x+22', 'y^2=86*x^6+7*x^5+110*x^4+21*x^3+8*x^2+90*x+77', 'y^2=x^6+38*x^5+107*x^4+39*x^3+49*x^2+56*x+44', 'y^2=34*x^6+110*x^5+68*x^4+56*x^3+14*x^2+71*x+15', 'y^2=21*x^6+106*x^5+27*x^4+109*x^3+56*x^2+21*x+61', 'y^2=35*x^6+65*x^5+6*x^4+28*x^3+112*x^2+58*x+54', 'y^2=9*x^6+37*x^5+87*x^4+34*x^3+17*x^2+35*x+82', 'y^2=79*x^6+48*x^5+49*x^4+47*x^3+23*x^2+39*x+79', 'y^2=11*x^6+39*x^5+105*x^4+36*x^3+105*x^2+39*x+11', 'y^2=88*x^6+111*x^5+16*x^4+35*x^3+7*x^2+74*x+60', 'y^2=59*x^6+87*x^5+32*x^4+55*x^3+32*x^2+87*x+59', 'y^2=57*x^6+25*x^5+94*x^4+99*x^3+6*x^2+68*x+83', 'y^2=18*x^6+22*x^5+73*x^4+23*x^3+73*x^2+22*x+18', 'y^2=101*x^6+100*x^5+69*x^4+35*x^3+11*x^2+13*x+108', 'y^2=33*x^6+22*x^5+10*x^4+91*x^3+10*x^2+22*x+33', 'y^2=82*x^6+8*x^5+103*x^4+49*x^3+107*x^2+15*x+55', 'y^2=106*x^6+49*x^5+60*x^4+65*x^3+73*x^2+61*x+104', 'y^2=94*x^6+87*x^5+13*x^4+63*x^3+13*x^2+11*x+96', 'y^2=101*x^6+42*x^5+20*x^4+75*x^3+57*x^2+6*x+81', 'y^2=20*x^6+22*x^5+66*x^4+64*x^3+34*x^2+9*x+109', 'y^2=62*x^6+63*x^5+57*x^4+37*x^3+57*x^2+63*x+62', 'y^2=92*x^6+111*x^5+38*x^4+89*x^3+109*x+80', 'y^2=92*x^6+91*x^5+110*x^4+x^3+49*x^2+90*x+63', 'y^2=29*x^6+63*x^5+104*x^4+102*x^3+65*x^2+42*x+20', 'y^2=57*x^6+84*x^5+36*x^4+39*x^3+32*x^2+74*x+26', 'y^2=84*x^6+18*x^5+101*x^4+40*x^3+3*x^2+38*x+10', 'y^2=29*x^6+106*x^5+105*x^4+73*x^3+86*x^2+32*x+36', 'y^2=66*x^6+98*x^5+x^4+97*x^3+x^2+98*x+66', 'y^2=27*x^6+73*x^5+72*x^4+31*x^3+22*x^2+6*x+59', 'y^2=22*x^6+104*x^5+53*x^4+87*x^3+96*x^2+100*x+105', 'y^2=89*x^6+37*x^5+30*x^4+81*x^3+77*x^2+x+108', 'y^2=96*x^6+28*x^5+71*x^4+5*x^3+28*x^2+91*x+109', 'y^2=32*x^6+89*x^5+4*x^4+47*x^3+98*x^2+85*x+71', 'y^2=49*x^6+90*x^5+92*x^4+77*x^3+46*x^2+42*x+64', 'y^2=46*x^6+103*x^5+47*x^4+96*x^3+109*x^2+59*x+75', 'y^2=105*x^6+68*x^5+90*x^4+37*x^3+46*x^2+29*x+21', 'y^2=4*x^6+73*x^5+91*x^4+96*x^3+102*x^2+25*x+70', 'y^2=41*x^6+55*x^5+110*x^4+79*x^3+41*x^2+13*x+19', 'y^2=16*x^6+16*x^5+50*x^4+47*x^3+5*x^2+40*x+47', 'y^2=48*x^6+64*x^5+11*x^4+65*x^3+46*x^2+47*x+37', 'y^2=94*x^6+49*x^5+99*x^4+18*x^3+74*x^2+104*x+7', 'y^2=103*x^6+98*x^5+89*x^4+100*x^3+7*x^2+57*x+32', 'y^2=93*x^6+6*x^5+7*x^4+94*x^3+89*x^2+32*x+17', 'y^2=46*x^6+37*x^5+106*x^4+36*x^3+88*x^2+16*x+7', 'y^2=94*x^6+17*x^5+96*x^4+44*x^3+111*x^2+43*x+83', 'y^2=28*x^6+66*x^5+29*x^4+110*x^3+9*x^2+71*x+89', 'y^2=42*x^6+22*x^5+79*x^4+53*x^3+96*x^2+89*x+73', 'y^2=18*x^6+64*x^5+55*x^4+46*x^3+24*x^2+66*x+75', 'y^2=85*x^6+55*x^5+11*x^4+x^3+101*x^2+34*x+96', 'y^2=74*x^6+69*x^5+3*x^4+81*x^3+68*x^2+78*x+13', 'y^2=41*x^6+35*x^5+28*x^4+105*x^3+28*x^2+35*x+41', 'y^2=17*x^6+48*x^5+15*x^4+27*x^3+70*x^2+47*x+66', 'y^2=89*x^6+101*x^5+58*x^4+68*x^3+6*x^2+48*x+30', 'y^2=17*x^6+8*x^5+35*x^4+106*x^3+105*x^2+60*x+29', 'y^2=16*x^6+110*x^5+46*x^4+97*x^3+46*x^2+110*x+16', 'y^2=70*x^6+43*x^5+93*x^4+5*x^3+63*x^2+45*x+86', 'y^2=73*x^6+46*x^5+36*x^4+25*x^3+79*x^2+89*x+29', 'y^2=70*x^6+66*x^5+19*x^4+92*x^3+85*x^2+29*x+33', 'y^2=71*x^6+39*x^5+108*x^4+43*x^3+94*x^2+27*x+67', 'y^2=72*x^6+90*x^5+98*x^4+18*x^3+3*x^2+82*x+99', 'y^2=7*x^6+64*x^5+70*x^4+24*x^3+66*x^2+22*x+94', 'y^2=38*x^6+17*x^5+101*x^4+31*x^3+98*x^2+95*x+14', 'y^2=18*x^6+88*x^5+28*x^4+65*x^3+28*x^2+88*x+18', 'y^2=44*x^6+25*x^5+4*x^4+92*x^3+108*x^2+69*x+48', 'y^2=53*x^6+31*x^5+83*x^4+23*x^3+73*x^2+15*x+76', 'y^2=105*x^6+47*x^5+77*x^4+67*x^3+76*x^2+66*x+62', 'y^2=27*x^6+15*x^5+2*x^4+73*x^3+97*x^2+66*x+40', 'y^2=22*x^6+100*x^5+52*x^4+63*x^3+31*x^2+79*x+43', 'y^2=91*x^6+65*x^5+28*x^4+85*x^3+63*x^2+21*x+71', 'y^2=75*x^6+4*x^5+46*x^4+52*x^3+46*x^2+4*x+75', 'y^2=30*x^6+34*x^5+61*x^4+42*x^3+20*x^2+31*x+106', 'y^2=25*x^6+14*x^5+93*x^4+7*x^3+5*x^2+80*x+33', 'y^2=102*x^6+85*x^5+112*x^4+39*x^3+103*x^2+95*x+13', 'y^2=36*x^6+18*x^5+56*x^4+28*x^3+104*x^2+68*x+107', 'y^2=76*x^6+97*x^5+109*x^4+109*x^3+74*x^2+25*x+29', 'y^2=63*x^6+18*x^5+73*x^4+3*x^3+75*x^2+68*x+21', 'y^2=37*x^6+69*x^5+78*x^4+49*x^3+3*x^2+83*x+30', 'y^2=81*x^6+73*x^5+69*x^4+91*x^3+42*x^2+16*x+43', 'y^2=35*x^6+3*x^5+8*x^4+70*x^3+48*x^2+15*x+38', 'y^2=83*x^6+91*x^5+6*x^4+75*x^3+23*x^2+26*x+23', 'y^2=70*x^6+55*x^5+28*x^4+8*x^3+21*x^2+54*x+94', 'y^2=107*x^6+42*x^5+15*x^4+106*x^3+29*x^2+96*x+98', 'y^2=111*x^6+100*x^5+61*x^4+77*x^3+61*x^2+100*x+111', 'y^2=65*x^6+61*x^5+57*x^4+19*x^3+92*x^2+36*x+95', 'y^2=80*x^6+95*x^5+84*x^4+94*x^3+70*x^2+91*x+56', 'y^2=71*x^6+11*x^5+4*x^4+105*x^3+14*x^2+89*x+30', 'y^2=72*x^6+47*x^5+73*x^4+46*x^3+94*x^2+49*x+64', 'y^2=86*x^6+37*x^5+97*x^4+54*x^3+101*x^2+81*x+50', 'y^2=12*x^6+63*x^5+106*x^4+94*x^3+20*x^2+49*x+74', 'y^2=86*x^6+66*x^5+105*x^4+9*x^3+105*x^2+66*x+86', 'y^2=43*x^6+44*x^5+49*x^4+72*x^3+39*x^2+65*x+35', 'y^2=48*x^6+102*x^5+73*x^4+77*x^3+47*x^2+14*x+59', 'y^2=9*x^6+6*x^5+69*x^4+93*x^3+6*x^2+76*x+69', 'y^2=40*x^6+87*x^5+54*x^4+103*x^3+16*x^2+57*x+66', 'y^2=89*x^6+79*x^5+6*x^4+97*x^3+6*x^2+79*x+89', 'y^2=43*x^6+21*x^5+32*x^4+83*x^3+23*x^2+84*x+51', 'y^2=15*x^6+16*x^5+74*x^4+109*x^3+x^2+24*x+25', 'y^2=76*x^6+90*x^5+12*x^4+42*x^3+66*x^2+28*x+89', 'y^2=55*x^6+11*x^5+19*x^4+20*x^3+10*x^2+35*x+77', 'y^2=55*x^6+59*x^5+23*x^4+73*x^3+81*x^2+50*x+6', 'y^2=17*x^6+101*x^5+72*x^4+15*x^3+31*x^2+77*x+83', 'y^2=105*x^6+5*x^5+50*x^4+43*x^3+38*x^2+32*x+33', 'y^2=50*x^6+37*x^5+110*x^4+59*x^3+73*x^2+102*x+54', 'y^2=109*x^6+96*x^5+95*x^4+69*x^3+96*x^2+84*x+65', 'y^2=57*x^6+49*x^5+54*x^4+46*x^3+32*x^2+53*x+6', 'y^2=38*x^6+66*x^5+91*x^4+12*x^3+89*x^2+103*x+73', 'y^2=3*x^6+49*x^5+15*x^4+36*x^3+65*x^2+74*x+112', 'y^2=10*x^6+110*x^5+90*x^4+64*x^3+90*x^2+110*x+10', 'y^2=14*x^6+10*x^5+106*x^4+95*x^3+90*x^2+61*x+74', 'y^2=70*x^6+77*x^5+58*x^4+10*x^3+35*x^2+21*x+103', 'y^2=25*x^6+5*x^5+79*x^4+11*x^3+56*x^2+40*x+47', 'y^2=88*x^6+92*x^5+4*x^3+92*x+88', 'y^2=72*x^6+80*x^5+99*x^4+90*x^3+64*x^2+54*x+46', 'y^2=73*x^6+99*x^5+80*x^4+98*x^3+19*x^2+53*x+98', 'y^2=33*x^6+53*x^5+24*x^4+40*x^3+54*x^2+76*x+25', 'y^2=18*x^6+44*x^5+47*x^4+59*x^3+45*x^2+73*x+23', 'y^2=3*x^6+43*x^5+13*x^4+82*x^3+76*x^2+48*x+64', 'y^2=13*x^6+106*x^5+50*x^4+110*x^3+13*x^2+28*x+107', 'y^2=51*x^6+10*x^5+20*x^4+4*x^3+22*x^2+41*x+47', 'y^2=55*x^6+19*x^5+34*x^4+12*x^3+48*x^2+91*x+10', 'y^2=51*x^6+80*x^5+90*x^4+45*x^3+57*x^2+102*x+43', 'y^2=82*x^6+70*x^5+90*x^4+70*x^3+13*x^2+71*x+78', 'y^2=50*x^6+65*x^5+82*x^4+50*x^3+34*x^2+12*x+73', 'y^2=104*x^6+109*x^5+48*x^4+100*x^3+95*x^2+106*x+78', 'y^2=2*x^6+20*x^5+53*x^4+27*x^3+58*x^2+24*x+76', 'y^2=13*x^6+91*x^5+18*x^4+110*x^3+26*x^2+95*x+86', 'y^2=71*x^6+17*x^5+72*x^4+10*x^3+87*x^2+67*x+110', 'y^2=46*x^6+38*x^5+27*x^4+61*x^3+35*x^2+41*x+49', 'y^2=69*x^6+51*x^5+67*x^4+33*x^3+104*x^2+99*x+104', 'y^2=91*x^6+37*x^5+4*x^4+6*x^3+42*x^2+32*x+27', 'y^2=20*x^6+76*x^5+107*x^4+58*x^3+107*x^2+76*x+20', 'y^2=12*x^6+102*x^5+97*x^4+41*x^3+41*x^2+46*x+56', 'y^2=44*x^6+32*x^5+24*x^4+75*x^3+98*x^2+80*x+3', 'y^2=72*x^6+67*x^5+103*x^4+64*x^3+10*x^2+34*x+79', 'y^2=40*x^6+67*x^5+110*x^4+66*x^3+110*x^2+67*x+40', 'y^2=99*x^6+88*x^5+40*x^4+90*x^3+24*x^2+31*x+101', 'y^2=81*x^6+109*x^5+36*x^4+103*x^3+16*x^2+77*x+80', 'y^2=25*x^6+65*x^5+52*x^4+32*x^2+73*x+76', 'y^2=69*x^6+22*x^5+60*x^4+104*x^3+102*x^2+90*x+76', 'y^2=45*x^6+95*x^5+5*x^4+66*x^3+45*x^2+66*x+90', 'y^2=98*x^6+83*x^5+77*x^4+108*x^3+87*x^2+29*x+45', 'y^2=68*x^6+69*x^5+11*x^4+99*x^3+20*x^2+99*x+9', 'y^2=86*x^6+19*x^5+89*x^4+73*x^3+40*x^2+36*x+33', 'y^2=16*x^6+77*x^5+64*x^4+75*x^3+70*x^2+42*x+74'], 'dim1_distinct': 2, '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, 'endomorphism_ring_count': 6, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.11.1', '2.0.451.1'], 'geometric_splitting_field': '4.0.203401.1', 'geometric_splitting_polynomials': [[169, 0, -15, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 150, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 150, 'label': '2.113.au_hx', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.11.1', '2.0.451.1'], 'p': 113, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -20, 205, -2260, 12769], 'poly_str': '1 -20 205 -2260 12769 ', 'primitive_models': [], 'q': 113, 'real_poly': [1, -20, -21], 'simple_distinct': ['1.113.av', '1.113.b'], 'simple_factors': ['1.113.avA', '1.113.bA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-F^2-F-111', '11,14*F-114'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.203401.1', 'splitting_polynomials': [[169, 0, -15, 0, 1]], 'twist_count': 4, 'twists': [['2.113.aw_jn', '2.12769.k_abhuj', 2], ['2.113.u_hx', '2.12769.k_abhuj', 2], ['2.113.w_jn', '2.12769.k_abhuj', 2]], 'weak_equivalence_count': 6, 'zfv_index': 484, 'zfv_index_factorization': [[2, 2], [11, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4961, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-F^2-F-111', '11,14*F-114']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 197025
    {'base_label': '2.113.au_hx', 'extension_degree': 1, 'extension_label': '1.113.av', 'multiplicity': 1}
  • id: 197026
    {'base_label': '2.113.au_hx', 'extension_degree': 1, 'extension_label': '1.113.b', 'multiplicity': 1}
• 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': '1.113.av', 'galois_group': '2T1', 'places': [['102', '1'], ['10', '1']]}
• 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': '2.0.451.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.113.b', 'galois_group': '2T1', 'places': [['0', '1'], ['112', '1']]}