-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 4609, 'abvar_counts': [4609, 21242881, 90458464756, 405858858191721, 1822837802581821289, 8182733846012494139536, 36732225162885021321600961, 164890969670331597565911206025, 740195513856780034368566636951764, 3322737654521322883533649568333621521], 'abvar_counts_str': '4609 21242881 90458464756 405858858191721 1822837802581821289 8182733846012494139536 36732225162885021321600961 164890969670331597565911206025 740195513856780034368566636951764 3322737654521322883533649568333621521 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.423973426282781, 0.576026573717219], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 68, 'curve_counts': [68, 4728, 300764, 20140756, 1350125108, 90458547342, 6060711605324, 406067704434148, 27206534396294948, 1822837800611881128], 'curve_counts_str': '68 4728 300764 20140756 1350125108 90458547342 6060711605324 406067704434148 27206534396294948 1822837800611881128 ', 'curves': ['y^2=2*x^6+13*x^5+8*x^4+54*x^3+66*x^2+34*x+56', 'y^2=4*x^6+26*x^5+16*x^4+41*x^3+65*x^2+x+45', 'y^2=24*x^6+51*x^5+54*x^4+27*x^3+24*x^2+35*x+2', 'y^2=42*x^6+63*x^5+19*x^4+59*x^3+17*x^2+48*x+43', 'y^2=17*x^6+59*x^5+38*x^4+51*x^3+34*x^2+29*x+19', 'y^2=51*x^6+13*x^5+23*x^4+52*x^3+25*x^2+60*x+32', 'y^2=64*x^6+42*x^5+19*x^4+62*x^3+65*x^2+32*x+31', 'y^2=6*x^6+49*x^5+59*x^4+63*x^3+4*x^2+36', 'y^2=12*x^6+31*x^5+51*x^4+59*x^3+8*x^2+5', 'y^2=61*x^6+8*x^5+47*x^4+9*x^3+17*x^2+27*x+5', 'y^2=45*x^6+16*x^5+12*x^4+44*x^3+22*x^2+5*x+11', 'y^2=34*x^6+30*x^5+8*x^4+47*x^3+16*x^2+18*x+41', 'y^2=21*x^6+28*x^5+21*x^4+39*x^3+13*x^2+56*x+35', 'y^2=5*x^6+42*x^5+8*x^4+56*x^3+4*x^2+27*x+4', 'y^2=10*x^6+17*x^5+16*x^4+45*x^3+8*x^2+54*x+8', 'y^2=8*x^6+13*x^5+47*x^4+60*x^3+45*x^2+8*x+45', 'y^2=48*x^6+40*x^5+59*x^4+26*x^3+36*x^2+57*x+42', 'y^2=29*x^6+13*x^5+51*x^4+52*x^3+5*x^2+47*x+17', 'y^2=36*x^6+24*x^5+63*x^4+10*x^3+3*x^2+23*x+36', 'y^2=5*x^6+48*x^5+59*x^4+20*x^3+6*x^2+46*x+5', 'y^2=24*x^6+19*x^5+42*x^4+43*x^3+29*x^2+3*x+46', 'y^2=48*x^6+38*x^5+17*x^4+19*x^3+58*x^2+6*x+25', 'y^2=51*x^6+63*x^5+47*x^4+14*x^3+6*x^2+50*x+4', 'y^2=35*x^6+59*x^5+27*x^4+28*x^3+12*x^2+33*x+8'], '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': ['4T2'], '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.3795.1'], 'geometric_splitting_field': '2.0.3795.1', 'geometric_splitting_polynomials': [[949, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.67.a_ep', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.230432400.10'], 'p': 67, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 119, 0, 4489], 'poly_str': '1 0 119 0 4489 ', 'primitive_models': [], 'q': 67, 'real_poly': [1, 0, -15], 'simple_distinct': ['2.67.a_ep'], 'simple_factors': ['2.67.a_epA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.230432400.10', 'splitting_polynomials': [[4489, 0, 119, 0, 1]], 'twist_count': 2, 'twists': [['2.67.a_aep', '2.20151121.apis_fqzlpj', 4]], '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': 64009, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
-
av_fq_endalg_factors • Show schema
Hide schema
-
id: 65064
{'base_label': '2.67.a_ep', 'extension_degree': 1, 'extension_label': '2.67.a_ep', 'multiplicity': 1}
-
id: 65065
{'base_label': '2.67.a_ep', 'extension_degree': 2, 'extension_label': '1.4489.ep', 'multiplicity': 2}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.230432400.10', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.67.a_ep', 'galois_group': '4T2', 'places': [['45', '1', '0', '0'], ['22', '1', '0', '0'], ['66', '4310/67', '2', '3/67'], ['2', '513/67', '5', '6/67']]}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.3795.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4489.ep', 'galois_group': '2T1', 'places': [['59', '1'], ['7', '1']]}
