-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 46, 'abvar_counts': [46, 2116, 118174, 6170256, 282441886, 13965094276, 678224550574, 33210785894400, 1628413556844046, 79773418967236996], 'abvar_counts_str': '46 2116 118174 6170256 282441886 13965094276 678224550574 33210785894400 1628413556844046 79773418967236996 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.203884584447166, 0.796115415552834], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 8, 'curve_counts': [8, 42, 344, 2566, 16808, 118698, 823544, 5760958, 40353608, 282408522], 'curve_counts_str': '8 42 344 2566 16808 118698 823544 5760958 40353608 282408522 ', 'curves': ['y^2=x^6+4*x^5+2*x^4+6*x^2+6*x+6', 'y^2=2*x^5+x^4+6*x^2+6*x+3', 'y^2=6*x^5+3*x^4+4*x^2+4*x+2'], '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': ['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': ['2.0.20.1'], 'geometric_splitting_field': '2.0.20.1', 'geometric_splitting_polynomials': [[5, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 3, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 3, 'label': '2.7.a_ae', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.6400.2'], 'p': 7, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 7, 1, 2]], 'poly': [1, 0, -4, 0, 49], 'poly_str': '1 0 -4 0 49 ', 'primitive_models': [], 'principal_polarization_count': 6, 'q': 7, 'real_poly': [1, 0, -18], 'simple_distinct': ['2.7.a_ae'], 'simple_factors': ['2.7.a_aeA'], 'simple_multiplicities': [1], 'singular_primes': ['3,-F-4*V-6'], 'size': 6, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.6400.2', 'splitting_polynomials': [[9, 0, 4, 0, 1]], 'twist_count': 4, 'twists': [['2.7.a_e', '2.2401.gi_rbi', 4], ['2.7.ag_s', '2.5764801.afrw_bhiegk', 8], ['2.7.g_s', '2.5764801.afrw_bhiegk', 8]], 'weak_equivalence_count': 2, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 4, 'zfv_plus_index': 3, 'zfv_plus_index_factorization': [[3, 1]], 'zfv_plus_norm': 100, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,-F-4*V-6']}
-
av_fq_endalg_factors • Show schema
Hide schema
-
id: 7220
{'base_label': '2.7.a_ae', 'extension_degree': 1, 'extension_label': '2.7.a_ae', 'multiplicity': 1}
-
id: 7221
{'base_label': '2.7.a_ae', 'extension_degree': 2, 'extension_label': '1.49.ae', 'multiplicity': 2}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.6400.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.7.a_ae', 'galois_group': '4T2', 'places': [['3', '1', '0', '0'], ['4', '1', '0', '0'], ['1', '1', '0', '0'], ['6', '1', '0', '0']]}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.20.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.49.ae', 'galois_group': '2T1', 'places': [['4', '1'], ['3', '1']]}
