Abelian variety isogeny class data - 2.113.az_ni

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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': 10266, 'abvar_counts': [10266, 163906956, 2084623856424, 26585015920217856, 339455935204903548186, 4334527394277279802085376, 55347537929505730555892356794, 706732564445800068447472158489600, 9024267962520968309069375021160016296, 115230877629634051852563712023061534819596], 'abvar_counts_str': '10266 163906956 2084623856424 26585015920217856 339455935204903548186 4334527394277279802085376 55347537929505730555892356794 706732564445800068447472158489600 9024267962520968309069375021160016296 115230877629634051852563712023061534819596 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.163377929515954, 0.40142506389143], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 89, 'curve_counts': [89, 12837, 1444748, 163050881, 18424308169, 2081953815138, 235260601020793, 26584442371654273, 3004041937103018924, 339456738940375667397], 'curve_counts_str': '89 12837 1444748 163050881 18424308169 2081953815138 235260601020793 26584442371654273 3004041937103018924 339456738940375667397 ', 'curves': ['y^2=19*x^6+109*x^5+57*x^4+37*x^3+28*x^2+71*x+70', 'y^2=105*x^6+61*x^5+56*x^4+82*x^3+40*x^2+45*x+77', 'y^2=45*x^6+29*x^5+32*x^4+10*x^3+13*x^2+38*x+35', 'y^2=101*x^6+23*x^5+65*x^4+12*x^3+78*x^2+110*x+24', 'y^2=65*x^6+81*x^5+99*x^4+47*x^3+12*x^2+64*x+49', 'y^2=109*x^6+86*x^5+112*x^4+38*x^3+3*x^2+65*x+107', 'y^2=92*x^6+99*x^5+45*x^4+57*x^3+x^2+49*x+76', 'y^2=86*x^6+69*x^5+15*x^4+17*x^3+52*x^2+71*x+75', 'y^2=107*x^6+94*x^5+72*x^4+51*x^3+94*x^2+3*x+70', 'y^2=50*x^6+22*x^5+37*x^4+26*x^3+39*x^2+16*x+4', 'y^2=59*x^6+15*x^5+16*x^4+99*x^3+86*x^2+89*x+51', 'y^2=87*x^6+98*x^5+89*x^4+45*x^3+71*x^2+4*x+81', 'y^2=55*x^6+21*x^5+109*x^4+90*x^3+94*x^2+45*x+36', 'y^2=21*x^6+108*x^5+80*x^4+35*x^3+107*x^2+28*x+56', 'y^2=71*x^6+56*x^5+44*x^4+41*x^3+78*x^2+99*x+93', 'y^2=42*x^6+111*x^5+16*x^4+75*x^3+5*x^2+81*x+34', 'y^2=78*x^6+102*x^5+21*x^4+22*x^3+7*x^2+99*x+68', 'y^2=107*x^6+72*x^5+85*x^4+13*x^3+84*x^2+36*x+76', 'y^2=28*x^6+99*x^5+39*x^4+10*x^3+83*x^2+41*x+67', 'y^2=97*x^6+53*x^5+103*x^4+11*x^3+89*x^2+81*x+92', 'y^2=50*x^6+57*x^5+97*x^4+36*x^3+55*x^2+76*x+41', 'y^2=65*x^6+110*x^5+28*x^4+20*x^3+74*x^2+13*x+69', 'y^2=79*x^6+29*x^5+84*x^4+81*x^3+64*x^2+2*x+46', 'y^2=27*x^6+93*x^5+33*x^4+9*x^3+69*x^2+97*x+3', 'y^2=8*x^6+103*x^5+8*x^4+18*x^3+96*x^2+25*x+76', 'y^2=89*x^6+25*x^5+19*x^4+86*x^3+82*x^2+77*x+8', 'y^2=76*x^6+17*x^5+92*x^4+80*x^3+93*x^2+42*x+81', 'y^2=44*x^6+85*x^5+61*x^4+108*x^3+19*x^2+29*x+95', 'y^2=112*x^6+7*x^5+84*x^4+71*x^3+104*x^2+96*x+79', 'y^2=70*x^6+107*x^5+33*x^4+38*x^3+51*x^2+63*x+66', 'y^2=80*x^6+31*x^5+24*x^4+32*x^3+30*x^2+77*x+60', 'y^2=40*x^6+48*x^5+45*x^4+42*x^3+66*x^2+75*x+4', 'y^2=60*x^6+76*x^5+53*x^4+101*x^3+48*x^2+26*x+107', 'y^2=21*x^6+74*x^5+27*x^4+2*x^3+42*x^2+63*x+46', 'y^2=28*x^6+98*x^5+96*x^4+3*x^3+91*x^2+16*x+74', 'y^2=43*x^6+103*x^5+14*x^4+105*x^3+23*x^2+86*x+11', 'y^2=71*x^6+30*x^5+20*x^4+64*x^3+46*x^2+37*x+9', 'y^2=98*x^6+68*x^5+4*x^4+49*x^3+24*x^2+106*x+107', 'y^2=32*x^6+19*x^5+76*x^4+73*x^3+91*x^2+33', 'y^2=73*x^6+96*x^5+51*x^4+85*x^3+27*x^2+31*x+59', 'y^2=110*x^6+70*x^5+98*x^4+35*x^3+28*x^2+76*x+97', 'y^2=24*x^6+103*x^5+94*x^4+89*x^3+46*x^2+91*x+49', 'y^2=108*x^6+66*x^5+53*x^4+38*x^3+94*x^2+11*x+80', 'y^2=44*x^6+53*x^5+71*x^4+79*x^3+82*x^2+x+7', 'y^2=53*x^6+7*x^5+45*x^4+28*x^3+83*x^2+23*x+41', 'y^2=32*x^6+57*x^5+41*x^4+92*x^3+107*x^2+14*x+23', 'y^2=71*x^6+91*x^5+3*x^4+50*x^3+98*x^2+22*x+48', 'y^2=80*x^6+72*x^5+41*x^4+57*x^3+23*x^2+62*x+29', 'y^2=30*x^6+98*x^5+30*x^4+106*x^3+25*x^2+26*x+55', 'y^2=101*x^6+3*x^5+87*x^4+21*x^3+28*x^2+110*x+39', 'y^2=69*x^6+5*x^5+49*x^4+28*x^3+24*x^2+10*x+107', 'y^2=21*x^6+24*x^5+12*x^4+48*x^3+72*x^2+52*x+55', 'y^2=8*x^6+101*x^5+66*x^4+13*x^3+40*x^2+16*x+50', 'y^2=94*x^6+61*x^5+61*x^4+92*x^3+24*x^2+89*x+62', 'y^2=97*x^6+51*x^5+42*x^4+93*x^3+30*x^2+112*x+72', 'y^2=96*x^6+5*x^5+61*x^4+107*x^3+60*x^2+75*x+102', 'y^2=92*x^6+104*x^5+85*x^4+65*x^3+109*x^2+93*x+52', 'y^2=47*x^6+88*x^5+5*x^4+x^3+35*x^2+7*x+45', 'y^2=33*x^6+96*x^5+38*x^4+102*x^3+83*x^2+110*x+62', 'y^2=68*x^6+7*x^5+106*x^4+30*x^3+105*x^2+20*x+39', 'y^2=30*x^6+15*x^5+65*x^4+102*x^3+90*x^2+17*x+112', 'y^2=45*x^6+18*x^5+58*x^4+107*x^3+104*x^2+17*x+67', 'y^2=45*x^6+88*x^5+52*x^4+87*x^3+37*x^2+76*x+29', 'y^2=73*x^6+108*x^5+81*x^4+100*x^3+61*x^2+40*x+15', 'y^2=71*x^6+46*x^5+45*x^4+62*x^3+77*x^2+3*x+52', 'y^2=57*x^6+72*x^5+48*x^4+65*x^3+41*x^2+86*x+49', 'y^2=96*x^6+40*x^5+40*x^4+21*x^3+79*x^2+92*x+55', 'y^2=18*x^6+8*x^5+38*x^4+47*x^3+59*x^2+14*x', 'y^2=90*x^6+93*x^5+96*x^4+14*x^3+97*x^2+73*x+47', 'y^2=71*x^6+20*x^5+74*x^4+49*x^3+57*x^2+108*x+51', 'y^2=110*x^6+43*x^5+78*x^4+51*x^3+18*x^2+80*x+105', 'y^2=76*x^6+103*x^5+48*x^4+86*x^3+33*x^2+19*x+39', 'y^2=43*x^6+85*x^5+14*x^4+41*x^3+89*x^2+9*x+56', 'y^2=68*x^6+41*x^5+69*x^4+82*x^3+52*x^2+87*x+105', 'y^2=74*x^6+49*x^5+110*x^4+12*x^3+83*x^2+9*x+72', 'y^2=20*x^6+11*x^5+48*x^4+73*x^3+19*x^2+97*x+88', 'y^2=45*x^6+43*x^5+11*x^4+12*x^3+54*x^2+68*x+109', 'y^2=70*x^6+36*x^5+85*x^4+71*x^3+7*x^2+108*x+65', 'y^2=2*x^6+83*x^5+58*x^4+109*x^3+110*x^2+75*x+78', 'y^2=48*x^6+34*x^5+8*x^4+5*x^3+62*x^2+91*x+96', 'y^2=45*x^6+74*x^5+7*x^4+44*x^3+36*x^2+71*x+77', 'y^2=37*x^6+12*x^5+109*x^4+33*x^3+32*x^2+25*x+64', 'y^2=61*x^6+103*x^5+6*x^4+94*x^3+2*x^2+93*x+76', 'y^2=110*x^6+84*x^5+22*x^4+30*x^3+35*x^2+97*x+32', 'y^2=19*x^6+37*x^5+31*x^4+87*x^3+50*x^2+77*x+58', 'y^2=33*x^6+94*x^5+20*x^4+94*x^3+57*x^2+10*x+97', 'y^2=56*x^6+39*x^5+86*x^4+77*x^3+20*x^2+38*x+99', 'y^2=17*x^6+21*x^5+36*x^4+33*x^3+70*x^2+24*x+80', 'y^2=105*x^6+14*x^5+64*x^4+73*x^3+57*x^2+24*x+91', 'y^2=59*x^6+87*x^5+59*x^4+73*x^3+50*x^2+71*x+92', 'y^2=46*x^6+74*x^5+105*x^4+16*x^3+65*x^2+5*x+47', 'y^2=38*x^6+28*x^5+39*x^4+23*x^3+55*x^2+107*x+64', 'y^2=80*x^6+21*x^5+x^4+31*x^3+31*x^2+95*x+107', 'y^2=28*x^6+85*x^5+101*x^4+83*x^3+4*x^2+48*x+73', 'y^2=4*x^6+104*x^5+5*x^4+75*x^3+99*x^2+80*x+76', 'y^2=19*x^6+95*x^5+66*x^4+3*x^3+34*x^2+11*x+66', 'y^2=37*x^6+13*x^5+15*x^4+77*x^3+108*x^2+26*x+2', 'y^2=77*x^6+67*x^5+99*x^4+56*x^3+81*x^2+48*x+48', 'y^2=95*x^6+78*x^5+64*x^4+9*x^3+75*x^2+102*x+73', 'y^2=20*x^6+81*x^5+18*x^4+110*x^3+21*x^2+28*x+14', 'y^2=22*x^6+24*x^5+84*x^4+99*x^3+55*x^2+23*x+98', 'y^2=6*x^6+x^5+93*x^4+76*x^3+97*x^2+65*x+110', 'y^2=83*x^6+52*x^5+112*x^4+33*x^3+110*x^2+12*x+29', 'y^2=86*x^6+78*x^5+43*x^4+97*x^3+61*x^2+56*x+24'], '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': 1, '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': ['4.0.939481100.1'], 'geometric_splitting_field': '4.0.939481100.1', 'geometric_splitting_polynomials': [[4171, -509, 112, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 104, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 104, 'label': '2.113.az_ni', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.939481100.1'], 'p': 113, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -25, 346, -2825, 12769], 'poly_str': '1 -25 346 -2825 12769 ', 'primitive_models': [], 'q': 113, 'real_poly': [1, -25, 120], 'simple_distinct': ['2.113.az_ni'], 'simple_factors': ['2.113.az_niA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.939481100.1', 'splitting_polynomials': [[4171, -509, 112, -1, 1]], 'twist_count': 2, 'twists': [['2.113.z_ni', '2.12769.cp_fya', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 44684, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.113.az_ni', 'extension_degree': 1, 'extension_label': '2.113.az_ni', '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', '0', '0'], 'center': '4.0.939481100.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.113.az_ni', 'galois_group': '4T3', 'places': [['61', '1', '0', '0'], ['39', '1', '0', '0'], ['7972/113', '667/113', '57/113', '8/113'], ['2322/113', '667/113', '57/113', '8/113']]}