Abelian variety isogeny class data - 2.83.e_adc

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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': 7146, 'abvar_counts': [7146, 46263204, 328097506554, 2252485267742736, 15516735276836776266, 106890060849958978804836, 736365213928743004173891546, 5072820149741696152693646966784, 34946658824812433259046269179646186, 240747534104119081059553169930783330724], 'abvar_counts_str': '7146 46263204 328097506554 2252485267742736 15516735276836776266 106890060849958978804836 736365213928743004173891546 5072820149741696152693646966784 34946658824812433259046269179646186 240747534104119081059553169930783330724 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.226177453866124, 0.93238967165157], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 88, 'curve_counts': [88, 6714, 573808, 47462390, 3939216848, 326940535818, 27136049169800, 2252292165890014, 186940254119148184, 15516041185984578714], 'curve_counts_str': '88 6714 573808 47462390 3939216848 326940535818 27136049169800 2252292165890014 186940254119148184 15516041185984578714 ', 'curves': ['y^2=33*x^6+80*x^5+31*x^4+56*x^3+56*x^2+37*x+44', 'y^2=73*x^6+54*x^5+23*x^4+32*x^3+2*x^2+51*x+52', 'y^2=10*x^6+44*x^5+10*x^4+73*x^3+9*x^2+26*x+41', 'y^2=46*x^6+10*x^5+61*x^4+39*x^3+30*x^2+36*x+28', 'y^2=13*x^6+57*x^5+78*x^4+81*x^3+8*x^2+32*x+64', 'y^2=73*x^6+67*x^5+36*x^4+76*x^3+3*x^2+24*x+64', 'y^2=42*x^6+63*x^5+29*x^4+77*x^3+55*x^2+67*x+68', 'y^2=76*x^6+14*x^5+37*x^4+5*x^3+54*x^2+66*x+74', 'y^2=33*x^6+28*x^5+13*x^4+29*x^3+16*x^2+9*x+56', 'y^2=4*x^6+29*x^5+5*x^4+49*x^3+55*x^2+68*x+7', 'y^2=69*x^6+78*x^5+44*x^4+19*x^3+33*x^2+17*x+32', 'y^2=46*x^6+30*x^5+42*x^4+22*x^3+27*x^2+57*x+1', 'y^2=22*x^6+2*x^5+74*x^4+49*x^3+3*x^2+68*x+28', 'y^2=13*x^6+7*x^5+17*x^4+21*x^3+9*x^2+63*x+8', 'y^2=45*x^6+26*x^5+33*x^4+16*x^3+20*x^2+18*x+44', 'y^2=20*x^6+77*x^5+30*x^4+59*x^3+63*x^2+71*x+10', 'y^2=73*x^6+17*x^5+31*x^4+6*x^3+44*x^2+69*x+15', 'y^2=6*x^6+8*x^5+76*x^4+21*x^3+19*x^2+31*x+17', 'y^2=63*x^6+34*x^5+81*x^4+62*x^2+20*x+24', 'y^2=39*x^6+31*x^5+76*x^4+24*x^3+47*x^2+58*x+3', 'y^2=56*x^6+40*x^5+6*x^4+17*x^3+67*x^2+75*x+22', 'y^2=51*x^6+30*x^5+35*x^4+61*x^3+24*x^2+76*x+37', 'y^2=38*x^6+24*x^5+16*x^4+22*x^3+22*x^2+53*x+29', 'y^2=15*x^6+21*x^5+81*x^4+73*x^3+25*x^2+2*x+23', 'y^2=16*x^6+81*x^5+58*x^4+52*x^3+73*x^2+59*x+47', 'y^2=3*x^6+53*x^5+24*x^4+8*x^3+62*x^2+71*x+15', 'y^2=38*x^6+57*x^5+x^4+79*x^3+50*x^2+64*x+15', 'y^2=30*x^6+75*x^5+42*x^4+32*x^3+18*x^2+72*x+14', 'y^2=80*x^6+25*x^5+48*x^4+73*x^3+58*x^2+82*x+60', 'y^2=20*x^6+30*x^5+51*x^4+28*x^3+77*x^2+37*x+10', 'y^2=63*x^6+58*x^5+45*x^4+72*x^3+43*x^2+76*x+58', 'y^2=63*x^6+3*x^5+81*x^4+52*x^3+41*x^2+17*x+30', 'y^2=18*x^6+73*x^5+21*x^4+49*x^3+22*x^2+66*x+54', 'y^2=63*x^6+24*x^5+32*x^4+25*x^3+44*x^2+33*x+75', 'y^2=32*x^6+20*x^5+62*x^4+78*x^3+50*x^2+15*x+81', 'y^2=69*x^6+26*x^5+69*x^4+4*x^3+18*x^2+24*x+7', 'y^2=67*x^6+32*x^5+46*x^4+62*x^3+4*x^2+55*x+22', 'y^2=66*x^6+8*x^5+69*x^4+66*x^3+79*x+57', 'y^2=65*x^6+82*x^5+79*x^4+54*x^3+70*x^2+27*x+39', 'y^2=23*x^6+25*x^5+79*x^4+14*x^3+4*x^2+42*x+42', 'y^2=56*x^6+79*x^5+4*x^4+14*x^3+39*x^2+79*x+3', 'y^2=13*x^6+74*x^5+48*x^4+52*x^3+21*x^2+78*x+27', 'y^2=38*x^6+72*x^5+15*x^4+44*x^3+31*x^2+35*x+82', 'y^2=15*x^6+66*x^5+44*x^4+51*x^3+40*x^2+60*x+24', 'y^2=75*x^6+33*x^5+67*x^4+12*x^3+50*x+9', 'y^2=63*x^6+71*x^5+12*x^4+4*x^3+3*x^2+68*x+10', 'y^2=41*x^6+55*x^5+18*x^4+7*x^3+75*x^2+29*x+41', 'y^2=40*x^6+6*x^5+16*x^4+62*x^3+51*x^2+50*x+16', 'y^2=24*x^6+70*x^5+65*x^4+22*x^3+72*x^2+39*x+48', 'y^2=35*x^6+59*x^5+22*x^4+75*x^3+34*x^2+77*x+21', 'y^2=41*x^6+46*x^5+4*x^4+12*x^3+71*x^2+20*x+70', 'y^2=44*x^6+69*x^5+67*x^4+79*x^3+70*x^2+58*x+10', 'y^2=35*x^6+67*x^5+41*x^4+81*x^3+50*x^2+16*x+30', 'y^2=71*x^6+82*x^5+70*x^4+65*x^3+55*x^2+50*x+71', 'y^2=48*x^6+20*x^5+9*x^4+32*x^3+35*x^2+52*x+59', 'y^2=3*x^6+13*x^5+58*x^4+58*x^3+9*x^2+33*x+33', 'y^2=49*x^6+20*x^5+49*x^4+45*x^3+73*x^2+14*x+37', 'y^2=60*x^6+47*x^5+14*x^4+64*x^3+63*x^2+17*x+49', 'y^2=42*x^6+17*x^5+36*x^4+37*x^3+x^2+79*x+9', 'y^2=36*x^6+53*x^5+37*x^4+76*x^3+66*x^2+11*x+30', 'y^2=52*x^6+29*x^5+81*x^4+66*x^3+63*x^2+58*x+17', 'y^2=20*x^6+59*x^5+13*x^4+6*x^3+12*x^2+78*x+52', 'y^2=57*x^6+55*x^5+40*x^4+15*x^3+26*x^2+63*x+32', 'y^2=58*x^6+28*x^5+28*x^4+24*x^3+42*x^2+38*x+41', 'y^2=42*x^6+54*x^5+50*x^4+9*x^3+35*x^2+57*x+13', 'y^2=79*x^6+43*x^5+36*x^4+29*x^3+32*x^2+66*x+82', 'y^2=26*x^6+21*x^5+35*x^4+74*x^3+52*x^2+36*x+73', 'y^2=18*x^6+30*x^5+45*x^4+14*x^3+11*x^2+17*x+2', 'y^2=37*x^6+36*x^5+26*x^4+65*x^3+50*x+77', 'y^2=73*x^6+27*x^5+76*x^4+69*x^3+49*x^2+82*x+71', 'y^2=58*x^6+80*x^5+16*x^4+68*x^3+47*x^2+66*x+33', 'y^2=77*x^6+44*x^5+36*x^4+33*x^3+38*x^2+66*x+82', 'y^2=37*x^6+15*x^5+43*x^4+21*x^3+7*x^2+15*x+50', 'y^2=3*x^6+23*x^5+5*x^4+56*x^3+18*x^2+35*x+53', 'y^2=10*x^6+35*x^5+66*x^4+44*x^3+57*x^2+56*x+49', 'y^2=61*x^6+74*x^5+54*x^3+79*x^2+28*x+76', 'y^2=56*x^6+3*x^5+52*x^4+50*x^3+62*x^2+36*x+48', 'y^2=67*x^6+43*x^5+65*x^4+22*x^3+75*x^2+28*x+63', 'y^2=46*x^6+34*x^5+9*x^4+30*x^3+71*x^2+82*x+35', 'y^2=39*x^6+27*x^5+10*x^4+22*x^3+18*x^2+44*x+17', 'y^2=74*x^6+34*x^5+41*x^4+46*x^3+80*x^2+64*x+68', 'y^2=44*x^6+58*x^5+5*x^4+x^3+67*x^2+18*x+62', 'y^2=3*x^5+50*x^4+60*x^3+71*x^2+37*x+26', 'y^2=53*x^6+34*x^5+69*x^4+23*x^3+2*x^2+65*x+9', 'y^2=2*x^6+77*x^5+76*x^4+50*x^3+49*x^2+30*x+68', 'y^2=50*x^6+45*x^5+71*x^4+63*x^3+75*x^2+40*x+5', 'y^2=73*x^6+80*x^5+7*x^4+66*x^2+35*x+58', 'y^2=9*x^6+23*x^5+36*x^4+64*x^3+29*x^2+41*x+71', 'y^2=55*x^6+54*x^5+11*x^4+16*x^3+48*x^2+55*x+68', 'y^2=51*x^6+9*x^5+21*x^4+4*x^3+59*x^2+81*x+17', 'y^2=76*x^6+58*x^5+70*x^4+60*x^3+13*x^2+67*x+51', 'y^2=7*x^6+16*x^5+46*x^4+8*x^3+77*x^2+80*x+11', 'y^2=79*x^6+5*x^5+78*x^4+59*x^3+76*x^2+21*x+25', 'y^2=8*x^6+49*x^5+65*x^4+80*x^3+55*x^2+39*x+29', 'y^2=80*x^6+50*x^5+13*x^4+14*x^3+78*x^2+66*x+29', 'y^2=29*x^6+34*x^5+22*x^4+2*x^3+22*x^2+47*x+22'], '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': ['4.0.3334400.2'], 'geometric_splitting_field': '4.0.3334400.2', 'geometric_splitting_polynomials': [[234, -100, 34, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 96, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 96, 'label': '2.83.e_adc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.3334400.2'], 'p': 83, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 4, -80, 332, 6889], 'poly_str': '1 4 -80 332 6889 ', 'primitive_models': [], 'q': 83, 'real_poly': [1, 4, -246], 'simple_distinct': ['2.83.e_adc'], 'simple_factors': ['2.83.e_adcA'], 'simple_multiplicities': [1], 'singular_primes': ['5,-18*F+22*V+99'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3334400.2', 'splitting_polynomials': [[234, -100, 34, 0, 1]], 'twist_count': 2, 'twists': [['2.83.ae_adc', '2.6889.agu_zxy', 2]], 'weak_equivalence_count': 2, 'zfv_index': 25, 'zfv_index_factorization': [[5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 5, 'zfv_plus_index_factorization': [[5, 1]], 'zfv_plus_norm': 2084, 'zfv_singular_count': 2, 'zfv_singular_primes': ['5,-18*F+22*V+99']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.83.e_adc', 'extension_degree': 1, 'extension_label': '2.83.e_adc', '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': '4.0.3334400.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.83.e_adc', 'galois_group': '4T3', 'places': [['67', '1', '0', '0'], ['18', '1', '0', '0'], ['66', '1', '0', '0'], ['15', '1', '0', '0']]}