Abelian variety isogeny class data - 2.53.f_cw

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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': 3154, 'abvar_counts': [3154, 8244556, 22135983136, 62273571856576, 174870168449582314, 491254062538258529536, 1379951221183381622519146, 3876269117400838790879558400, 10888439287646263431778185723424, 30585627314174066413130728966943596], 'abvar_counts_str': '3154 8244556 22135983136 62273571856576 174870168449582314 491254062538258529536 1379951221183381622519146 3876269117400838790879558400 10888439287646263431778185723424 30585627314174066413130728966943596 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.418561879982486, 0.703428468199112], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 59, 'curve_counts': [59, 2933, 148688, 7892241, 418154119, 22164142682, 1174715361403, 62259691492033, 3299763448114064, 174887470498889453], 'curve_counts_str': '59 2933 148688 7892241 418154119 22164142682 1174715361403 62259691492033 3299763448114064 174887470498889453 ', 'curves': ['y^2=3*x^5+7*x^4+27*x^3+47*x^2+3*x+5', 'y^2=22*x^6+25*x^5+21*x^4+21*x^3+17*x^2+44*x+15', 'y^2=24*x^6+38*x^5+43*x^4+x^3+8*x^2+25*x+46', 'y^2=34*x^6+40*x^5+33*x^4+37*x^3+12*x^2+6*x+18', 'y^2=45*x^6+49*x^5+30*x^4+24*x^3+30*x^2+11*x+29', 'y^2=40*x^6+47*x^5+13*x^4+46*x^3+42*x^2+31*x+46', 'y^2=33*x^6+5*x^5+10*x^4+11*x^3+9*x^2+34*x+4', 'y^2=23*x^6+27*x^5+12*x^4+25*x^3+37*x^2+15*x+22', 'y^2=7*x^6+9*x^5+18*x^4+35*x^3+35*x^2+37*x+26', 'y^2=3*x^6+49*x^5+15*x^4+33*x^3+37*x^2+50*x+25', 'y^2=10*x^6+27*x^5+17*x^4+37*x^3+42*x^2+15*x+17', 'y^2=14*x^6+7*x^5+20*x^4+25*x^3+16*x^2+26*x+51', 'y^2=12*x^6+29*x^5+12*x^4+39*x^3+40*x^2+51*x+33', 'y^2=29*x^6+38*x^5+38*x^4+31*x^3+7*x^2+15', 'y^2=13*x^6+36*x^5+25*x^4+12*x^3+40*x^2+10*x+42', 'y^2=33*x^6+29*x^5+41*x^4+44*x^3+16*x^2+33*x+40', 'y^2=42*x^6+31*x^5+38*x^4+8*x^3+10*x^2+15*x+45', 'y^2=52*x^6+16*x^5+36*x^4+5*x^3+37*x^2+18*x+16', 'y^2=26*x^6+41*x^5+26*x^4+x^3+40*x^2+19*x+25', 'y^2=39*x^6+x^5+52*x^4+39*x^3+5*x^2+49*x+19', 'y^2=11*x^6+9*x^5+20*x^4+13*x^3+52*x^2+24*x+36', 'y^2=33*x^6+4*x^5+41*x^4+8*x^3+26*x^2+51*x+25', 'y^2=9*x^6+38*x^5+36*x^4+31*x^3+36*x^2+12*x+6', 'y^2=42*x^6+15*x^5+9*x^4+29*x^3+11*x^2+16*x+5', 'y^2=44*x^6+15*x^5+15*x^4+13*x^3+11*x^2+15*x+42', 'y^2=16*x^6+22*x^5+33*x^4+46*x^3+28*x^2+37*x+44', 'y^2=21*x^6+29*x^5+13*x^4+35*x^3+10*x^2+10*x+15', 'y^2=8*x^6+20*x^5+44*x^4+40*x^3+23*x^2+8*x+45', 'y^2=47*x^6+36*x^5+29*x^4+23*x^2+32*x+16', 'y^2=44*x^6+43*x^5+38*x^4+5*x^3+45*x^2+51', 'y^2=33*x^6+50*x^5+38*x^4+52*x^3+23*x^2+23*x+34', 'y^2=3*x^6+4*x^5+6*x^4+43*x^3+18*x^2+49*x+21', 'y^2=36*x^6+30*x^5+3*x^4+16*x^3+41*x^2+x+24', 'y^2=18*x^6+28*x^5+4*x^4+3*x^3+10*x^2+29*x+12', 'y^2=39*x^6+47*x^5+14*x^4+5*x^3+9*x^2+12*x+5', 'y^2=7*x^6+9*x^5+23*x^4+9*x^3+2*x^2+50*x+17', 'y^2=25*x^6+5*x^5+52*x^4+38*x^3+2*x^2+40*x+18', 'y^2=20*x^6+35*x^5+6*x^4+28*x^3+44*x^2+43*x+45', 'y^2=50*x^6+15*x^5+5*x^4+14*x^3+4*x^2+26*x+34', 'y^2=43*x^6+34*x^5+31*x^4+39*x^3+50*x^2+32*x+10', 'y^2=13*x^6+21*x^5+15*x^4+51*x^3+21*x^2+6*x+36', 'y^2=39*x^6+29*x^5+23*x^4+17*x^3+45*x^2+22*x+3', 'y^2=38*x^6+14*x^5+12*x^4+42*x^2+33*x+10', 'y^2=49*x^6+45*x^5+5*x^4+27*x^3+20*x^2+45*x+14', 'y^2=9*x^6+30*x^5+17*x^4+4*x^3+28*x^2+51*x+22', 'y^2=17*x^6+45*x^5+30*x^4+49*x^3+31*x^2+3*x+51', 'y^2=30*x^6+33*x^5+31*x^4+7*x^3+22*x^2+41*x+36', 'y^2=11*x^6+25*x^5+30*x^4+30*x^3+22*x^2+32*x+33', 'y^2=21*x^6+5*x^5+x^4+4*x^3+29*x^2+45*x+4', 'y^2=x^6+48*x^5+35*x^4+15*x^3+31*x^2+28*x+24', 'y^2=9*x^6+26*x^5+38*x^4+31*x^3+6*x^2+3*x+9', 'y^2=47*x^6+32*x^5+37*x^4+31*x^3+18*x^2+2*x+6', 'y^2=32*x^6+30*x^5+26*x^3+35*x^2+29*x+27', 'y^2=41*x^6+9*x^5+10*x^4+35*x^3+26*x^2+21*x+24', 'y^2=49*x^6+2*x^5+7*x^4+32*x^3+23*x^2+44*x+22', 'y^2=35*x^6+18*x^5+31*x^4+24*x^3+22*x^2+25*x+38', 'y^2=23*x^6+x^5+36*x^4+35*x^3+39*x^2+7*x+27', 'y^2=x^6+22*x^5+23*x^4+48*x^3+38*x^2+27*x+25', 'y^2=34*x^6+50*x^5+39*x^4+29*x^2+40*x+41', 'y^2=32*x^6+11*x^5+23*x^4+31*x^3+50*x^2+9*x+10', 'y^2=38*x^6+20*x^5+16*x^4+x^3+42*x^2+31*x+33', 'y^2=25*x^6+7*x^5+11*x^4+38*x^3+46*x^2+12*x+44', 'y^2=x^6+5*x^5+35*x^4+2*x^3+8*x^2+4*x+19', 'y^2=13*x^6+7*x^5+14*x^4+26*x^3+13*x^2+46*x+41', 'y^2=10*x^6+18*x^5+10*x^4+34*x^3+23*x^2+33*x+36', 'y^2=4*x^6+x^5+41*x^4+30*x^3+16*x^2+35*x+30', 'y^2=52*x^6+3*x^5+20*x^4+12*x^3+33*x^2+34*x+5', 'y^2=7*x^6+22*x^5+15*x^4+20*x^3+22*x^2+12*x+43', 'y^2=13*x^6+41*x^5+15*x^4+43*x^3+42*x^2+32*x+10', 'y^2=29*x^6+37*x^5+40*x^4+46*x^3+25*x^2+34*x+37', 'y^2=15*x^6+38*x^5+46*x^4+29*x^3+30*x^2+43*x+27', 'y^2=6*x^6+5*x^5+38*x^3+4*x^2+3*x+47'], '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': ['4.0.7831900.1'], 'geometric_splitting_field': '4.0.7831900.1', 'geometric_splitting_polynomials': [[1781, -9, 82, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 72, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 72, 'label': '2.53.f_cw', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.7831900.1'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 5, 74, 265, 2809], 'poly_str': '1 5 74 265 2809 ', 'primitive_models': [], 'q': 53, 'real_poly': [1, 5, -32], 'simple_distinct': ['2.53.f_cw'], 'simple_factors': ['2.53.f_cwA'], 'simple_multiplicities': [1], 'singular_primes': ['3,-F^2-6*F-2*V-4'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.7831900.1', 'splitting_polynomials': [[1781, -9, 82, -1, 1]], 'twist_count': 2, 'twists': [['2.53.af_cw', '2.2809.et_mmu', 2]], 'weak_equivalence_count': 2, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 3, 'zfv_plus_index_factorization': [[3, 1]], 'zfv_plus_norm': 27100, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,-F^2-6*F-2*V-4']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.53.f_cw', 'extension_degree': 1, 'extension_label': '2.53.f_cw', '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': '4.0.7831900.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.53.f_cw', 'galois_group': '4T3', 'places': [['33', '1', '0', '0'], ['22', '1', '0', '0'], ['9', '1', '0', '0'], ['41', '1', '0', '0']]}