Abelian variety isogeny class data - 2.79.o_hz

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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': 7569, 'abvar_counts': [7569, 40335201, 241792492176, 1517155706166489, 9468890014563008649, 59091148454163704545536, 368790018170216479183594809, 2301619376366192574524292743529, 14364404979854405867727174990329616, 89648251904934950106751172183709904401], 'abvar_counts_str': '7569 40335201 241792492176 1517155706166489 9468890014563008649 59091148454163704545536 368790018170216479183594809 2301619376366192574524292743529 14364404979854405867727174990329616 89648251904934950106751172183709904401 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.628833084390605, 0.628833084390605], 'center_dim': 2, 'curve_count': 94, 'curve_counts': [94, 6460, 490408, 38951284, 3077255914, 243085963966, 19203903665446, 1517108964984484, 119851595317409272, 9468276075032154700], 'curve_counts_str': '94 6460 490408 38951284 3077255914 243085963966 19203903665446 1517108964984484 119851595317409272 9468276075032154700 ', 'curves': ['y^2=39*x^6+6*x^5+48*x^4+5*x^3+3*x^2+12*x+69', 'y^2=x^6+2*x^3+8', 'y^2=42*x^6+43*x^5+54*x^4+30*x^3+51*x^2+37*x+43', 'y^2=65*x^6+38*x^5+41*x^4+16*x^3+41*x^2+38*x+65', 'y^2=29*x^6+77*x^5+44*x^4+26*x^3+59*x^2+2*x+40', 'y^2=42*x^6+74*x^5+18*x^4+45*x^3+59*x^2+43*x+38', 'y^2=22*x^6+30*x^5+49*x^4+73*x^3+72*x^2+14*x+26', 'y^2=15*x^6+46*x^5+54*x^4+11*x^3+54*x^2+46*x+15', 'y^2=10*x^6+12*x^5+16*x^4+64*x^3+75*x^2+14*x+9', 'y^2=37*x^6+66*x^5+38*x^4+60*x^3+38*x^2+66*x+37', 'y^2=20*x^6+78*x^5+71*x^4+41*x^3+65*x^2+21*x+5', 'y^2=54*x^6+36*x^5+60*x^4+70*x^3+35*x^2+23*x+78', 'y^2=74*x^6+12*x^5+70*x^4+54*x^3+34*x^2+15*x+42', 'y^2=6*x^6+39*x^5+18*x^4+21*x^3+19*x^2+37*x+12', 'y^2=23*x^6+59*x^5+19*x^4+46*x^3+3*x^2+18*x+31', 'y^2=17*x^6+37*x^5+58*x^4+3*x^3+46*x^2+61*x+9', 'y^2=51*x^6+47*x^5+55*x^4+15*x^3+26*x^2+40*x+76', 'y^2=60*x^6+13*x^5+20*x^4+6*x^3+20*x^2+13*x+60', 'y^2=9*x^6+22*x^5+3*x^4+53*x^3+47*x^2+58*x+31', 'y^2=35*x^6+73*x^5+44*x^4+4*x^3+16*x^2+26*x+32', 'y^2=45*x^6+69*x^5+46*x^4+51*x^3+46*x^2+53*x+23', 'y^2=72*x^6+18*x^5+78*x^4+27*x^3+69*x+17', 'y^2=27*x^6+49*x^5+32*x^4+35*x^3+23*x^2+39*x+38', 'y^2=12*x^6+6*x^5+58*x^4+64*x^3+22*x^2+71*x+12'], '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': ['2.0.267.1'], 'geometric_splitting_field': '2.0.267.1', 'geometric_splitting_polynomials': [[67, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, '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': 24, 'label': '2.79.o_hz', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3, 29], 'number_fields': ['2.0.267.1'], 'p': 79, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 14, 207, 1106, 6241], 'poly_str': '1 14 207 1106 6241 ', 'primitive_models': [], 'q': 79, 'real_poly': [1, 14, 49], 'simple_distinct': ['1.79.h'], 'simple_factors': ['1.79.hA', '1.79.hB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.267.1', 'splitting_polynomials': [[67, -1, 1]], 'twist_count': 6, 'twists': [['2.79.ao_hz', '2.6241.ik_bkbb', 2], ['2.79.a_ef', '2.6241.ik_bkbb', 2], ['2.79.ah_abe', '2.493039.adxg_fyqpy', 3], ['2.79.a_aef', '2.38950081.bug_gpgtgl', 4], ['2.79.h_abe', '2.243087455521.adgwlo_ezugomqrm', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.79.o_hz', 'extension_degree': 1, 'extension_label': '1.79.h', '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': '2.0.267.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.79.h', 'galois_group': '2T1', 'places': [['3', '1'], ['75', '1']]}