Abelian variety isogeny class data - 2.59.m_fy

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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': 4356, 'abvar_counts': [4356, 12702096, 41834157156, 146836229760000, 511186084720601796, 1779171691834536371856, 6193381081666812219763236, 21559184507232826984949760000, 75047495094425017804612616143236, 261240334563067097437719708801622416], 'abvar_counts_str': '4356 12702096 41834157156 146836229760000 511186084720601796 1779171691834536371856 6193381081666812219763236 21559184507232826984949760000 75047495094425017804612616143236 261240334563067097437719708801622416 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.627720932075605, 0.627720932075605], 'center_dim': 2, 'curve_count': 72, 'curve_counts': [72, 3646, 203688, 12117838, 715021272, 42179923726, 2488649422968, 146830485960478, 8662995650167272, 511116751458554206], 'curve_counts_str': '72 3646 203688 12117838 715021272 42179923726 2488649422968 146830485960478 8662995650167272 511116751458554206 ', 'curves': ['y^2=x^6+35*x^5+9*x^4+14*x^3+9*x^2+35*x+1', 'y^2=20*x^6+30*x^5+12*x^4+10*x^3+31*x^2+21*x+28', 'y^2=2*x^6+11*x^5+40*x^4+26*x^3+30*x^2+32*x+58', 'y^2=35*x^6+7*x^5+35*x^4+34*x^3+16*x^2+21*x+35', 'y^2=14*x^6+39*x^5+29*x^4+18*x^3+22*x^2+43*x+50', 'y^2=3*x^6+9*x^5+2*x^4+50*x^3+50*x^2+20*x+29', 'y^2=30*x^6+17*x^5+20*x^4+36*x^3+29*x^2+26*x+19', 'y^2=16*x^6+30*x^5+5*x^4+26*x^3+5*x^2+30*x+16', 'y^2=27*x^6+28*x^5+14*x^4+9*x^3+30*x^2+43*x+28', 'y^2=15*x^6+3*x^5+36*x^4+22*x^3+46*x^2+40*x+6', 'y^2=20*x^6+19*x^5+5*x^4+9*x^3+5*x^2+19*x+20', 'y^2=35*x^6+15*x^5+19*x^4+7*x^3+49*x^2+12*x+7', 'y^2=31*x^6+23*x^5+53*x^4+26*x^3+52*x^2+12*x+25', 'y^2=35*x^6+52*x^5+3*x^4+42*x^3+23*x^2+31*x+26', 'y^2=24*x^6+10*x^5+47*x^4+31*x^3+47*x^2+10*x+24', 'y^2=53*x^5+57*x^4+58*x^2+22*x+22', 'y^2=19*x^6+39*x^4+39*x^2+19', 'y^2=22*x^6+11*x^5+19*x^4+8*x^3+27*x^2+33*x+41', 'y^2=57*x^6+32*x^5+4*x^4+6*x^3+7*x^2+39*x+28', 'y^2=52*x^6+36*x^5+8*x^4+6*x^3+47*x^2+22*x+31', 'y^2=44*x^6+15*x^5+14*x^4+24*x^3+14*x^2+15*x+44', 'y^2=42*x^6+2*x^5+14*x^4+3*x^3+34*x^2+50*x+1', 'y^2=21*x^6+58*x^5+22*x^4+11*x^3+29*x^2+43*x+46', 'y^2=21*x^6+3*x^5+39*x^4+41*x^3+39*x^2+3*x+21', 'y^2=14*x^6+2*x^5+22*x^4+52*x^3+49*x^2+56*x+31', 'y^2=23*x^6+46*x^5+34*x^4+57*x^3+21*x^2+19*x+26', 'y^2=49*x^6+25*x^5+51*x^4+4*x^3+17*x^2+53*x+31', 'y^2=6*x^6+46*x^5+21*x^4+44*x^3+21*x^2+46*x+6', 'y^2=18*x^6+47*x^5+9*x^4+28*x^3+22*x^2+5*x+58', 'y^2=38*x^6+41*x^5+35*x^4+58*x^3+41*x^2+12*x+40', 'y^2=x^6+51*x^5+54*x^4+54*x^2+8*x+1', 'y^2=3*x^6+14*x^5+45*x^4+12*x^3+47*x^2+15*x+22', 'y^2=29*x^6+10*x^5+45*x^4+38*x^3+45*x^2+10*x+29', 'y^2=37*x^6+40*x^5+56*x^4+36*x^3+56*x^2+40*x+37', 'y^2=2*x^6+8*x^5+39*x^4+2*x^3+43*x^2+24*x+52', 'y^2=24*x^6+5*x^5+55*x^4+55*x^3+54*x^2+41*x+10', 'y^2=42*x^6+35*x^5+24*x^4+38*x^3+21*x^2+30*x+15', 'y^2=15*x^6+51*x^5+56*x^4+51*x^3+39*x^2+5*x+26', 'y^2=28*x^6+16*x^5+16*x^4+52*x^3+16*x^2+16*x+28', 'y^2=36*x^6+30*x^5+45*x^4+27*x^3+45*x^2+30*x+36', 'y^2=2*x^6+14*x^5+7*x^4+5*x^3+18*x^2+8*x+15', 'y^2=57*x^6+18*x^5+36*x^4+36*x^3+16*x^2+56*x+22', 'y^2=44*x^6+39*x^3+28*x^2+26*x+15', 'y^2=43*x^6+21*x^5+46*x^4+42*x^3+27*x^2+26*x+58', 'y^2=27*x^6+10*x^5+56*x^4+54*x^3+56*x^2+10*x+27', 'y^2=x^6+2*x^5+24*x^4+49*x^3+13*x^2+18*x+27', 'y^2=44*x^6+24*x^4+24*x^2+44', 'y^2=8*x^6+24*x^5+34*x^4+25*x^3+58*x^2+58*x+11', 'y^2=48*x^6+6*x^5+51*x^4+54*x^3+x^2+13*x+46', 'y^2=43*x^6+25*x^5+57*x^4+2*x^3+57*x^2+25*x+43', 'y^2=27*x^6+53*x^5+30*x^4+30*x^3+22*x^2+2*x+20', 'y^2=58*x^6+30*x^5+53*x^4+2*x^3+53*x^2+30*x+58', 'y^2=42*x^6+42*x^5+48*x^4+15*x^3+48*x^2+42*x+42', 'y^2=51*x^6+31*x^5+21*x^4+24*x^3+21*x^2+31*x+51', 'y^2=40*x^6+48*x^5+x^4+9*x^3+11*x^2+17*x+25', 'y^2=44*x^6+5*x^5+4*x^4+47*x^3+13*x^2+23*x+17', 'y^2=4*x^6+54*x^5+57*x^4+5*x^3+18*x^2+28*x', 'y^2=32*x^6+51*x^5+15*x^4+x^3+15*x^2+51*x+32', 'y^2=7*x^6+40*x^4+40*x^2+7', 'y^2=56*x^6+34*x^5+44*x^4+12*x^3+31*x^2+3*x+1', 'y^2=12*x^6+38*x^5+58*x^4+40*x^3+32*x^2+31*x+19', 'y^2=2*x^6+23*x^5+27*x^4+49*x^3+28*x^2+13*x+33', 'y^2=8*x^6+37*x^5+5*x^4+23*x^3+5*x^2+37*x+8', 'y^2=10*x^6+29*x^5+19*x^4+7*x^3+19*x^2+29*x+10', 'y^2=38*x^6+7*x^5+41*x^4+30*x^3+45*x^2+29*x+11', 'y^2=51*x^6+52*x^5+11*x^4+56*x^3+11*x^2+52*x+51', 'y^2=30*x^6+2*x^5+21*x^4+30*x^3+21*x^2+2*x+30'], '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': ['2.0.8.1'], 'geometric_splitting_field': '2.0.8.1', 'geometric_splitting_polynomials': [[2, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 67, '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': 67, 'label': '2.59.m_fy', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3, 11], 'number_fields': ['2.0.8.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 12, 154, 708, 3481], 'poly_str': '1 12 154 708 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, 12, 36], 'simple_distinct': ['1.59.g'], 'simple_factors': ['1.59.gA', '1.59.gB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.8.1', 'splitting_polynomials': [[2, 0, 1]], 'twist_count': 8, 'twists': [['2.59.am_fy', '2.3481.gi_ugk', 2], ['2.59.a_de', '2.3481.gi_ugk', 2], ['2.59.ag_ax', '2.205379.acnc_cmcjy', 3], ['2.59.a_ade', '2.12117361.si_cbebzi', 4], ['2.59.g_ax', '2.42180533641.abisgi_wcdpqueo', 6], ['2.59.au_hs', '2.146830437604321.ebvgue_gftpgqicaok', 8], ['2.59.u_hs', '2.146830437604321.ebvgue_gftpgqicaok', 8]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.59.m_fy', 'extension_degree': 1, 'extension_label': '1.59.g', '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': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.g', 'galois_group': '2T1', 'places': [['36', '1'], ['23', '1']]}