Abelian variety isogeny class data - 2.97.ab_ao

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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': 9298, 'abvar_counts': [9298, 88275212, 832667624776, 7840691898850304, 73742745177610946578, 693843022683411102814208, 6528363424914645682102362322, 61425362812298165403623990915072, 577951262164529441125846545645084232, 5437943428403372336839359423727340501772], 'abvar_counts_str': '9298 88275212 832667624776 7840691898850304 73742745177610946578 693843022683411102814208 6528363424914645682102362322 61425362812298165403623990915072 577951262164529441125846545645084232 5437943428403372336839359423727340501772 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.226176645744304, 0.750056713561034], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 97, 'curve_counts': [97, 9381, 912340, 88566081, 8587378977, 832972799298, 80798292526657, 7837433271060609, 760231058156675092, 73742412677775007141], 'curve_counts_str': '97 9381 912340 88566081 8587378977 832972799298 80798292526657 7837433271060609 760231058156675092 73742412677775007141 ', 'curves': ['y^2=28*x^6+69*x^5+68*x^4+37*x^3+58*x^2+27*x+66', 'y^2=36*x^6+82*x^5+75*x^4+80*x^3+20*x^2+86*x+90', 'y^2=49*x^6+13*x^5+42*x^4+60*x^3+80*x^2+92*x+66', 'y^2=27*x^6+74*x^5+40*x^4+83*x^3+7*x^2+48*x+68', 'y^2=13*x^6+72*x^5+20*x^4+57*x^3+48*x^2+23*x+16', 'y^2=70*x^6+72*x^5+3*x^4+85*x^3+36*x^2+55*x+45', 'y^2=11*x^6+54*x^5+64*x^4+9*x^3+92*x^2+24*x+3', 'y^2=74*x^6+48*x^5+2*x^4+5*x^3+64*x^2+81*x+30', 'y^2=85*x^6+90*x^5+87*x^4+27*x^3+14*x^2+68*x+75', 'y^2=33*x^6+73*x^5+88*x^4+42*x^3+12*x^2+78*x+56', 'y^2=19*x^6+61*x^5+37*x^4+16*x^3+66*x^2+16*x+13', 'y^2=38*x^6+84*x^5+4*x^4+34*x^3+13*x^2+37*x+41', 'y^2=17*x^6+78*x^5+25*x^4+24*x^3+84*x^2+70*x+38', 'y^2=51*x^6+82*x^5+37*x^4+30*x^3+20*x^2+35*x+83', 'y^2=62*x^6+49*x^5+80*x^4+63*x^3+18*x^2+x+86', 'y^2=54*x^6+76*x^5+24*x^4+33*x^3+65*x^2+32*x+78', 'y^2=85*x^6+12*x^5+3*x^4+37*x^3+39*x^2+58*x+30', 'y^2=96*x^6+37*x^5+86*x^4+64*x^3+18*x^2+70*x+20', 'y^2=6*x^6+12*x^5+20*x^4+66*x^3+66*x^2+26*x+95', 'y^2=78*x^6+8*x^5+66*x^4+16*x^3+42*x^2+63*x+64', 'y^2=72*x^6+51*x^5+11*x^4+45*x^3+72*x^2+60', 'y^2=93*x^6+54*x^5+43*x^4+41*x^3+70*x^2+66*x+82', 'y^2=48*x^6+38*x^5+56*x^4+20*x^3+10*x^2+9*x+18', 'y^2=81*x^6+71*x^5+61*x^4+78*x^3+85*x^2+13*x+59', 'y^2=51*x^6+42*x^5+93*x^4+16*x^2+6*x+51', 'y^2=56*x^6+39*x^5+56*x^4+25*x^3+27*x^2+48*x+5', 'y^2=7*x^6+53*x^4+18*x^3+6*x^2+48*x+46', 'y^2=2*x^6+16*x^5+13*x^4+x^3+48*x^2+43*x+51', 'y^2=54*x^6+20*x^5+82*x^4+33*x^3+46*x^2+58*x+56', 'y^2=17*x^6+22*x^5+55*x^4+62*x^3+27*x^2+11*x+46', 'y^2=9*x^6+3*x^5+61*x^4+40*x^3+35*x^2+71*x+21', 'y^2=92*x^6+58*x^5+28*x^4+78*x^3+51*x^2+93*x+42', 'y^2=24*x^6+30*x^5+90*x^4+41*x^3+8*x^2+15*x+32', 'y^2=10*x^6+43*x^5+43*x^4+79*x^3+65*x^2+20*x+20', 'y^2=30*x^6+19*x^5+79*x^4+3*x^3+52*x^2+28*x+25', 'y^2=57*x^6+12*x^5+47*x^4+51*x^3+10*x^2+7*x+22', 'y^2=17*x^6+48*x^5+58*x^4+66*x^3+67*x^2+21*x+41', 'y^2=68*x^6+77*x^5+14*x^4+73*x^3+96*x^2+67*x+73', 'y^2=80*x^6+73*x^5+69*x^4+83*x^3+84*x^2+39*x+92', 'y^2=14*x^6+88*x^5+18*x^4+42*x^3+44*x^2+50*x+90', 'y^2=38*x^6+35*x^5+88*x^4+21*x^3+81*x^2+49*x+13', 'y^2=87*x^6+13*x^5+13*x^4+34*x^3+82*x^2+88*x+21', 'y^2=59*x^6+60*x^5+42*x^4+41*x^3+58*x^2+23*x+82', 'y^2=55*x^6+14*x^5+93*x^4+77*x^3+10*x^2+15*x+4', 'y^2=48*x^6+49*x^5+33*x^4+17*x^3+78*x^2+95*x+31', 'y^2=74*x^6+86*x^5+54*x^4+58*x^3+93*x^2+64*x+68', 'y^2=47*x^6+21*x^5+55*x^4+63*x^3+78*x^2+40*x+17', 'y^2=4*x^6+74*x^5+63*x^4+x^3+31*x^2+69*x+85', 'y^2=75*x^6+96*x^5+22*x^4+37*x^3+4*x^2+56*x+45', 'y^2=3*x^6+69*x^5+69*x^4+19*x^3+52*x^2+25*x+69', 'y^2=49*x^6+55*x^5+29*x^4+44*x^3+6*x^2+32*x+75', 'y^2=7*x^6+27*x^5+45*x^4+71*x^3+83*x^2+55*x+88', 'y^2=89*x^6+96*x^5+92*x^4+15*x^3+39*x^2+31*x+73', 'y^2=19*x^6+81*x^5+83*x^3+85*x^2+26*x+65', 'y^2=54*x^6+95*x^5+75*x^4+53*x^3+67*x^2+29*x+74', 'y^2=28*x^6+32*x^5+21*x^4+92*x^3+6*x^2+34*x+81', 'y^2=50*x^6+21*x^5+54*x^4+23*x^3+22*x^2+37*x+29', 'y^2=59*x^6+27*x^5+30*x^4+3*x^3+52*x^2+38*x+21', 'y^2=2*x^6+16*x^5+92*x^4+82*x^3+49*x^2+43*x+46', 'y^2=33*x^6+45*x^5+18*x^4+63*x^3+18*x^2+29*x+88', 'y^2=56*x^6+36*x^5+5*x^4+37*x^3+27*x^2+64*x+12', 'y^2=23*x^6+38*x^5+61*x^4+74*x^3+51*x^2+28*x+83', 'y^2=62*x^6+18*x^5+61*x^4+39*x^3+48*x^2+79*x+68', 'y^2=25*x^6+19*x^5+15*x^4+16*x^3+45*x^2+68*x+95', 'y^2=20*x^6+16*x^5+92*x^4+13*x^3+31*x^2+50*x+75', 'y^2=46*x^6+13*x^5+83*x^3+24*x^2+32*x+43', 'y^2=6*x^6+75*x^5+66*x^4+45*x^3+46*x^2+89*x+26', 'y^2=86*x^6+90*x^5+6*x^4+87*x^3+32*x^2+59*x+86', 'y^2=31*x^6+38*x^5+74*x^4+23*x^3+25*x^2+52*x+34', 'y^2=17*x^6+54*x^5+72*x^4+55*x^3+89*x^2+65*x+10', 'y^2=16*x^6+18*x^5+27*x^4+5*x^3+74*x^2+81*x+92', 'y^2=42*x^6+46*x^5+18*x^4+80*x^3+96*x^2+79*x+9', 'y^2=11*x^6+36*x^5+31*x^4+16*x^3+90*x^2+13*x+35', 'y^2=58*x^6+15*x^5+16*x^4+17*x^3+31*x^2+95*x+43', 'y^2=87*x^6+80*x^5+62*x^4+74*x^3+22*x^2+47*x+21', 'y^2=31*x^6+23*x^5+93*x^4+12*x^2+31*x+7', 'y^2=77*x^6+78*x^5+40*x^4+80*x^3+59*x^2+x+28', 'y^2=73*x^6+11*x^5+46*x^4+86*x^3+39*x^2+75*x+46', 'y^2=13*x^6+83*x^5+86*x^4+55*x^3+84*x^2+13*x+77', 'y^2=57*x^6+12*x^5+77*x^4+95*x^3+21*x^2+95*x+83', 'y^2=51*x^6+49*x^5+56*x^4+11*x^3+87*x^2+45*x+27', 'y^2=10*x^6+54*x^5+22*x^4+64*x^3+43*x+59', 'y^2=78*x^6+22*x^5+63*x^4+72*x^3+78*x^2+51*x+93', 'y^2=96*x^6+34*x^5+51*x^4+31*x^3+27*x^2+82*x+64', 'y^2=40*x^6+52*x^5+78*x^4+43*x^3+61*x^2+73*x+37', 'y^2=67*x^6+9*x^5+83*x^4+68*x^3+82*x^2+41*x+15', 'y^2=43*x^6+67*x^5+6*x^4+72*x^3+92*x^2+41*x+18', 'y^2=60*x^6+53*x^5+22*x^4+31*x^3+46*x^2+53*x+64', 'y^2=73*x^6+83*x^5+50*x^4+82*x^3+11*x^2+50*x+91', 'y^2=62*x^6+42*x^5+23*x^4+62*x^3+11*x^2+94*x+25', 'y^2=73*x^6+88*x^5+18*x^4+24*x^3+63*x^2+91*x+93', 'y^2=85*x^6+58*x^5+4*x^4+9*x^3+78*x^2+9*x+81', 'y^2=78*x^6+5*x^5+75*x^4+85*x^3+31*x^2+53*x+13', 'y^2=69*x^6+94*x^5+55*x^4+96*x^3+18*x^2+39*x+82', 'y^2=77*x^6+77*x^5+77*x^4+68*x^3+54*x^2+52*x+57', 'y^2=7*x^6+11*x^5+37*x^4+96*x^3+68*x^2+92*x+96', 'y^2=19*x^6+86*x^5+64*x^4+41*x^3+75*x^2+49*x+84', 'y^2=18*x^6+93*x^5+29*x^4+81*x^3+82*x^2+51*x+34', 'y^2=93*x^6+40*x^5+95*x^4+78*x^3+40*x^2+3*x+90', 'y^2=84*x^6+18*x^5+67*x^4+78*x^3+68*x^2+11*x+14', 'y^2=24*x^6+2*x^5+66*x^4+56*x^3+51*x^2+19*x+1', 'y^2=95*x^6+38*x^5+92*x^4+11*x^3+55*x^2+95*x+60', 'y^2=43*x^6+18*x^5+93*x^4+70*x^3+8*x^2+4*x+48', 'y^2=58*x^6+8*x^5+35*x^4+3*x^3+41*x^2+15*x+84', 'y^2=20*x^6+27*x^5+57*x^4+25*x^3+55*x^2+68*x+27', 'y^2=68*x^6+20*x^5+58*x^4+62*x^3+74*x^2+80*x+79', 'y^2=72*x^6+34*x^5+74*x^4+65*x^3+40*x^2+41*x+25', 'y^2=13*x^6+40*x^5+75*x^4+86*x^3+61*x^2+61*x+63', 'y^2=76*x^6+38*x^5+96*x^4+36*x^3+70*x^2+19*x+19', 'y^2=75*x^6+90*x^5+78*x^4+54*x^3+49*x^2+24*x', 'y^2=35*x^6+68*x^5+90*x^4+74*x^3+58*x^2+78*x+22', 'y^2=40*x^6+9*x^5+69*x^4+40*x^3+90*x^2+49*x+61', 'y^2=74*x^6+30*x^5+68*x^4+38*x^3+53*x^2+86*x+43', 'y^2=43*x^6+64*x^4+22*x^3+33*x^2+48*x+63', 'y^2=7*x^6+87*x^5+64*x^4+43*x^3+24*x^2+59*x+25', 'y^2=66*x^6+53*x^5+26*x^4+3*x^3+55*x^2+88*x+46', 'y^2=21*x^6+12*x^5+36*x^4+42*x^3+92*x^2+88*x+79', 'y^2=83*x^6+79*x^5+47*x^4+21*x^3+x^2+34*x+83', 'y^2=27*x^6+44*x^5+34*x^4+83*x^3+x^2+13*x+64', 'y^2=26*x^6+28*x^5+37*x^4+50*x^3+22*x^2+77*x+14', 'y^2=43*x^6+58*x^5+26*x^4+2*x^3+15*x^2+19*x+22', 'y^2=29*x^6+89*x^5+76*x^4+24*x^3+91*x^2+15*x+72', 'y^2=63*x^6+48*x^5+x^4+80*x^3+17*x^2+82*x+73', 'y^2=48*x^6+61*x^5+25*x^4+60*x^3+81*x^2+94*x+34', 'y^2=10*x^6+80*x^5+13*x^4+72*x^3+16*x^2+56*x+80', 'y^2=32*x^6+72*x^5+59*x^4+2*x^3+32*x^2+19*x+42', 'y^2=21*x^6+7*x^5+4*x^4+22*x^3+91*x^2+28*x+60', 'y^2=70*x^6+3*x^5+45*x^4+6*x^3+32*x^2+69*x+43', 'y^2=25*x^6+57*x^5+24*x^4+73*x^3+36*x+74', 'y^2=79*x^6+46*x^5+43*x^4+18*x^3+95*x^2+57*x+83', 'y^2=10*x^6+68*x^5+61*x^4+7*x^3+30*x^2+47*x+84', 'y^2=7*x^6+51*x^5+23*x^4+38*x^3+63*x^2+65*x+8', 'y^2=71*x^5+47*x^4+72*x^3+40*x^2+79*x+27', 'y^2=33*x^6+5*x^5+11*x^4+33*x^3+11*x^2+6*x+51', 'y^2=50*x^6+12*x^5+58*x^4+94*x^3+91*x^2+33*x+34', 'y^2=12*x^6+45*x^5+49*x^4+49*x^3+8*x^2+46*x+4', 'y^2=78*x^6+77*x^5+46*x^4+26*x^3+56*x^2+58*x+58', 'y^2=32*x^6+88*x^5+14*x^4+16*x^3+50*x^2+80*x+5', 'y^2=8*x^6+45*x^5+33*x^4+73*x^3+75*x^2+85*x+86', 'y^2=49*x^6+52*x^5+22*x^4+67*x^3+88*x^2+20*x+59'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 2, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.9251468.1'], 'geometric_splitting_field': '4.0.9251468.1', 'geometric_splitting_polynomials': [[2099, -29, 88, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 140, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 140, 'label': '2.97.ab_ao', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.9251468.1'], 'p': 97, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -1, -14, -97, 9409], 'poly_str': '1 -1 -14 -97 9409 ', 'primitive_models': [], 'q': 97, 'real_poly': [1, -1, -208], 'simple_distinct': ['2.97.ab_ao'], 'simple_factors': ['2.97.ab_aoA'], 'simple_multiplicities': [1], 'singular_primes': ['7,F^2-6*F+47*V-49'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.9251468.1', 'splitting_polynomials': [[2099, -29, 88, -1, 1]], 'twist_count': 2, 'twists': [['2.97.b_ao', '2.9409.abd_bbvw', 2]], 'weak_equivalence_count': 2, 'zfv_index': 49, 'zfv_index_factorization': [[7, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 7, 'zfv_plus_index_factorization': [[7, 1]], 'zfv_plus_norm': 32012, 'zfv_singular_count': 2, 'zfv_singular_primes': ['7,F^2-6*F+47*V-49']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.97.ab_ao', 'extension_degree': 1, 'extension_label': '2.97.ab_ao', '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': '4.0.9251468.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.97.ab_ao', 'galois_group': '4T3', 'places': [['34', '23', '94', '94'], ['19', '19', '4', '4']]}