Abelian variety isogeny class data - 3.23.al_dp_asj

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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': 8093, 'abvar_counts': [8093, 167581751, 1847179396091, 21964774030054759, 266798506515902581403, 3244153375099598798840423, 39469220098744706002639618048, 480246162503858801282232428527303, 5843218619694117793750067495368147421, 71094371220601707646191745348748646181031], 'abvar_counts_str': '8093 167581751 1847179396091 21964774030054759 266798506515902581403 3244153375099598798840423 39469220098744706002639618048 480246162503858801282232428527303 5843218619694117793750067495368147421 71094371220601707646191745348748646181031 ', 'angle_corank': 2, 'angle_rank': 1, 'angles': [0.242559439976821, 0.32886913145175, 0.528273725691107], 'center_dim': 6, 'curve_count': 13, 'curve_counts': [13, 595, 12475, 280483, 6440283, 148036003, 3404621520, 78310234947, 1801154996173, 41426524283235], 'curve_counts_str': '13 595 12475 280483 6440283 148036003 3404621520 78310234947 1801154996173 41426524283235 ', 'curves': ['y^2=22*x^7+10*x^5+7*x^4+17*x^3+4*x^2+6*x+22', 'y^2=22*x^7+11*x^5+x^4+5*x^3+8*x^2+19*x+17', 'y^2=22*x^7+22*x^5+5*x^4+3*x^3+21*x^2+21*x+10', 'y^2=x^7+22*x^5+10*x^3+3*x^2+14*x+15', 'y^2=22*x^7+19*x^5+17*x^4+13*x^3+x^2+12*x+17', 'y^2=x^7+18*x^5+17*x^3+10*x^2+5*x+14', 'y^2=22*x^7+5*x^5+14*x^4+21*x^3+11*x^2+6*x+20', 'y^2=x^7+9*x^5+22*x^4+4*x^3+13*x^2+22*x+15', 'y^2=22*x^7+22*x^5+18*x^4+2*x^3+22*x^2+16*x+10', 'y^2=x^7+10*x^5+18*x^4+21*x^3+16*x+17', 'y^2=x^7+3*x^5+10*x^4+14*x^3+15*x^2+10*x+7', 'y^2=x^7+7*x^5+9*x^4+17*x^2+22*x+11', 'y^2=x^7+13*x^5+9*x^4+2*x^3+16*x^2+11*x+5'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['6T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 3, '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': 7, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 13, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.23.al_dp_asj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 42, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['6.0.16807.1'], 'p': 23, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -11, 93, -477, 2139, -5819, 12167], 'poly_str': '1 -11 93 -477 2139 -5819 12167 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, -11, 24, 29], 'simple_distinct': ['3.23.al_dp_asj'], 'simple_factors': ['3.23.al_dp_asjA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.16807.1', 'splitting_polynomials': [[1, -1, 1, -1, 1, -1, 1]], 'twist_count': 14, 'twists': [['3.23.l_dp_sj', '3.529.cn_dpp_dupd', 2], ['3.23.d_at_afz', '3.3404825447.alprk_czykznnh_ambqafuwktye', 7], ['3.23.y_kb_cke', '3.3404825447.alprk_czykznnh_ambqafuwktye', 7], ['3.23.ay_kb_acke', '3.11592836324538749809.vgrzwus_tvbuzvtrwskhtf_ieinmxcwubcixufikcsau', 14], ['3.23.ai_f_fo', '3.11592836324538749809.vgrzwus_tvbuzvtrwskhtf_ieinmxcwubcixufikcsau', 14], ['3.23.ad_at_fz', '3.11592836324538749809.vgrzwus_tvbuzvtrwskhtf_ieinmxcwubcixufikcsau', 14], ['3.23.i_f_afo', '3.11592836324538749809.vgrzwus_tvbuzvtrwskhtf_ieinmxcwubcixufikcsau', 14], ['3.23.a_a_abo', '3.39471584120695485887249589623.iccnhnmlhqe_bbskjstzokpxkadfyvbgzl_bzojralodgmjbgwklfpyvvjfghbczfye', 21], ['3.23.ai_bp_afo', '3.134393854047545109686936775588697536481.wggvklteucnrhy_iwjvqbneootnuegwcmbxubtxanmt_cbaodkajbaacggrxmsquvnehywoqjkmmpvqvgwdjzg', 28], ['3.23.i_bp_fo', '3.134393854047545109686936775588697536481.wggvklteucnrhy_iwjvqbneootnuegwcmbxubtxanmt_cbaodkajbaacggrxmsquvnehywoqjkmmpvqvgwdjzg', 28], ['3.23.aq_ey_abau', '3.1558005952997140033806173725098810522409738596181909282129.ajwxvmfslephscrunzjqzu_bsigefchwbplckhgtqkmbndjlzecqoofcucqlckiap_aejgyrwcbhmthhcdimuuhwqvbjgyopmahspvobwdysycaerwqzifxqwiggksfzg', 42], ['3.23.a_a_bo', '3.1558005952997140033806173725098810522409738596181909282129.ajwxvmfslephscrunzjqzu_bsigefchwbplckhgtqkmbndjlzecqoofcucqlckiap_aejgyrwcbhmthhcdimuuhwqvbjgyopmahspvobwdysycaerwqzifxqwiggksfzg', 42], ['3.23.q_ey_bau', '3.1558005952997140033806173725098810522409738596181909282129.ajwxvmfslephscrunzjqzu_bsigefchwbplckhgtqkmbndjlzecqoofcucqlckiap_aejgyrwcbhmthhcdimuuhwqvbjgyopmahspvobwdysycaerwqzifxqwiggksfzg', 42]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 1913352
    {'base_label': '3.23.al_dp_asj', 'extension_degree': 1, 'extension_label': '3.23.al_dp_asj', 'multiplicity': 1}
  • id: 1913353
    {'base_label': '3.23.al_dp_asj', 'extension_degree': 7, 'extension_label': '1.3404825447.adwom', 'multiplicity': 3}
• 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': '6.0.16807.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.23.al_dp_asj', 'galois_group': '6T1', 'places': [['1', '9', '13', '1', '0', '0'], ['1', '13', '9', '1', '0', '0']]}
• 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': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.3404825447.adwom', 'galois_group': '2T1', 'places': [['9', '1'], ['13', '1']]}