Abelian variety isogeny class data - 4.5.d_ab_ad_q

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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': 976, 'abvar_counts': [976, 249856, 306445456, 148334510080, 93154617968896, 60951049991704576, 37697104136965345936, 23382391377902546452480, 14557764104761392701014096, 9087224972844505122645999616], 'abvar_counts_str': '976 249856 306445456 148334510080 93154617968896 60951049991704576 37697104136965345936 23382391377902546452480 14557764104761392701014096 9087224972844505122645999616 ', 'angle_corank': 2, 'angle_rank': 2, 'angles': [0.144130581889375, 0.417838834988402, 0.817838834988402, 0.944130581889375], 'center_dim': 8, 'curve_count': 9, 'curve_counts': [9, 15, 153, 607, 3054, 15975, 79053, 392287, 1953909, 9757330], 'curve_counts_str': '9 15 153 607 3054 15975 79053 392287 1953909 9757330 ', 'curves': ['y^2=x^9+x^7+4*x^6+2*x^5+x^4+4*x^3+4*x^2+2*x+1', 'y^2=x^10+2*x^8+4*x^7+x^6+3*x^4+2*x^3+3*x^2+4*x', 'y^2=x^10+x^9+4*x^8+3*x^7+x^6+x^4+4*x^3+4*x^2+2*x+4'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 1, 'dim4_factors': 1, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 4, 'galois_groups': ['8T10'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 2, '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': 5, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.8525.1'], 'geometric_splitting_field': '4.0.8525.1', 'geometric_splitting_polynomials': [[25, -5, 9, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 3, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '4.5.d_ab_ad_q', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 30, 'newton_coelevation': 6, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['8.0.1816890625.4'], 'p': 5, 'p_rank': 4, 'p_rank_deficit': 0, 'poly': [1, 3, -1, -3, 16, -15, -25, 375, 625], 'poly_str': '1 3 -1 -3 16 -15 -25 375 625 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, 3, -21, -48, 76], 'simple_distinct': ['4.5.d_ab_ad_q'], 'simple_factors': ['4.5.d_ab_ad_qA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '0D', '1A', '1B', '1C', '1D'], 'splitting_field': '8.0.1816890625.4', 'splitting_polynomials': [[625, -250, -25, -40, 41, -8, -1, -2, 1]], 'twist_count': 10, 'twists': [['4.5.ad_ab_d_q', '4.25.al_bz_ab_abee', 2], ['4.5.ac_ab_ai_bp', '4.3125.acu_achw_agyyy_cmxuta', 5], ['4.5.ac_t_abc_fl', '4.3125.acu_achw_agyyy_cmxuta', 5], ['4.5.a_r_a_er', '4.9765625.amhc_dspczs_axzwgswdc_fakugxwfsne', 10], ['4.5.c_ab_i_bp', '4.9765625.amhc_dspczs_axzwgswdc_fakugxwfsne', 10], ['4.5.c_t_bc_fl', '4.9765625.amhc_dspczs_axzwgswdc_fakugxwfsne', 10], ['4.5.b_ai_ab_bz', '4.30517578125.acjgfg_cqzbkdvqa_abvseyhpvenqui_wbourbezhwzcjdnq', 15], ['4.5.a_ar_a_er', '4.95367431640625.bqolxg_berjfpamrom_bnpmzclmepdniupc_bwyrscunfsrcimmszbzkg', 20], ['4.5.ab_ai_b_bz', '4.931322574615478515625.agibgiedk_cjagunkrkqjmgwpo_ajsehcqdlwamlajpsbaamcya_cadyfmusaznelnekhcbspkdaxxavbus', 30]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 2770295
    {'base_label': '4.5.d_ab_ad_q', 'extension_degree': 1, 'extension_label': '4.5.d_ab_ad_q', 'multiplicity': 1}
  • id: 2770296
    {'base_label': '4.5.d_ab_ad_q', 'extension_degree': 5, 'extension_label': '2.3125.abk_accw', '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': '8.0.1816890625.4', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.5.d_ab_ad_q', 'galois_group': '8T10', 'places': [['2', '1', '0', '0', '0', '0', '0', '0'], ['3', '16/5', '29/25', '3/125', '211/125', '92/125', '609/125', '578/125']]}
• 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[]

  
  
  • id: 2252739
    {'brauer_invariants': ['0', '0'], 'center': '4.0.8525.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3125.abk_accw', 'galois_group': '4T3', 'places': [['3', '1/5', '21/5', '24/5'], ['2', '1', '0', '0']]}
  • id: 2319449
    {'brauer_invariants': ['0', '0'], 'center': '4.0.8525.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3125.abk_accw', 'galois_group': '4T3', 'places': [['3', '6/5', '16/5', '24/5'], ['2', '1', '0', '0']]}
  • id: 2350316
    {'brauer_invariants': ['0', '0'], 'center': '4.0.8525.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3125.abk_accw', 'galois_group': '4T3', 'places': [['4', '13/5', '8/5', '2/5'], ['2', '1', '0', '0']]}