-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 209, 'abvar_counts': [209, 81301, 22958441, 6939934661, 2017271614864, 582370724896741, 168367140256796921, 48662340384964893125, 14063073963773408360369, 4064229137503042720976896], 'abvar_counts_str': '209 81301 22958441 6939934661 2017271614864 582370724896741 168367140256796921 48662340384964893125 14063073963773408360369 4064229137503042720976896 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0620218782480658, 0.622267387770301], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 13, 'curve_counts': [13, 283, 4669, 83091, 1420758, 24127147, 410312629, 6975922083, 118587788053, 2015992774878], 'curve_counts_str': '13 283 4669 83091 1420758 24127147 410312629 6975922083 118587788053 2015992774878 ', 'curves': ['y^2=6*x^6+4*x^5+9*x^4+16*x^3+5*x^2+7*x+7', 'y^2=11*x^6+4*x^4+9*x^3+13*x^2+9*x+14', 'y^2=7*x^6+12*x^5+5*x^4+3*x^3+6*x^2+16*x+5', 'y^2=4*x^6+13*x^5+x^4+6*x^3+13*x^2+11*x', 'y^2=7*x^6+13*x^5+12*x^4+8*x^3+6*x^2+3*x+7', 'y^2=x^6+16*x^5+3*x^4+3*x^3+2*x^2+12*x+9'], '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': ['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': ['4.0.3725.1'], 'geometric_splitting_field': '4.0.3725.1', 'geometric_splitting_polynomials': [[11, -7, 8, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 6, 'label': '2.17.af_j', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.3725.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 11, 1, 5]], 'poly': [1, -5, 9, -85, 289], 'poly_str': '1 -5 9 -85 289 ', 'primitive_models': [], 'principal_polarization_count': 6, 'q': 17, 'real_poly': [1, -5, -25], 'simple_distinct': ['2.17.af_j'], 'simple_factors': ['2.17.af_jA'], 'simple_multiplicities': [1], 'singular_primes': ['5,7*F^2+2*F-3*V+14'], 'size': 6, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3725.1', 'splitting_polynomials': [[11, -7, 8, -2, 1]], 'twist_count': 2, 'twists': [['2.17.f_j', '2.289.ah_ahj', 2]], 'weak_equivalence_count': 2, 'zfv_index': 25, 'zfv_index_factorization': [[5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 5, 'zfv_plus_index': 5, 'zfv_plus_index_factorization': [[5, 1]], 'zfv_plus_norm': 149, 'zfv_singular_count': 2, 'zfv_singular_primes': ['5,7*F^2+2*F-3*V+14']}
-
av_fq_endalg_factors • Show schema
Hide schema
{'base_label': '2.17.af_j', 'extension_degree': 1, 'extension_label': '2.17.af_j', 'multiplicity': 1}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.3725.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.af_j', 'galois_group': '4T3', 'places': [['12', '13', '5', '0'], ['4', '6', '12', '0']]}
