Abelian variety isogeny class data - 2.41.au_gu

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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': 1018, 'abvar_counts': [1018, 2746564, 4756935850, 7987106988304, 13421744275906378, 22562867174484482500, 37929077557742789172058, 63759030482297998070267904, 107178944014979710786024358650, 180167788286418766789183391503684], 'abvar_counts_str': '1018 2746564 4756935850 7987106988304 13421744275906378 22562867174484482500 37929077557742789172058 63759030482297998070267904 107178944014979710786024358650 180167788286418766789183391503684 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0753103869889809, 0.299287056273945], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 22, 'curve_counts': [22, 1634, 69022, 2826534, 115848302, 4749973058, 194753505542, 7984925174974, 327381974247862, 13422659707241954], 'curve_counts_str': '22 1634 69022 2826534 115848302 4749973058 194753505542 7984925174974 327381974247862 13422659707241954 ', 'curves': ['y^2=25*x^6+15*x^5+29*x^4+4*x^3+25*x^2+9*x+9', 'y^2=19*x^6+25*x^5+15*x^4+32*x^3+x^2+19*x+3', 'y^2=3*x^6+16*x^5+36*x^4+27*x^3+10*x^2+25*x+32', 'y^2=7*x^6+13*x^5+26*x^4+31*x^3+31*x^2+9*x+37'], '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': ['4.0.555264.3'], 'geometric_splitting_field': '4.0.555264.3', 'geometric_splitting_polynomials': [[106, -60, 26, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 4, 'label': '2.41.au_gu', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.555264.3'], 'p': 41, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -20, 176, -820, 1681], 'poly_str': '1 -20 176 -820 1681 ', 'primitive_models': [], 'q': 41, 'real_poly': [1, -20, 94], 'simple_distinct': ['2.41.au_gu'], 'simple_factors': ['2.41.au_guA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.555264.3', 'splitting_polynomials': [[106, -60, 26, 0, 1]], 'twist_count': 2, 'twists': [['2.41.u_gu', '2.1681.abw_che', 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': 964, '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': '2.41.au_gu', 'extension_degree': 1, 'extension_label': '2.41.au_gu', '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'], 'center': '4.0.555264.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.41.au_gu', 'galois_group': '4T3', 'places': [['1366/41', '51/41', '1676/41', '1/41'], ['5', '1', '0', '0']]}