-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 198, 'abvar_counts': [198, 33660, 4818528, 823996800, 137569746798, 23260576584960, 3938335901876574, 665461638360921600, 112455019821910008672, 19005016038068177934300], 'abvar_counts_str': '198 33660 4818528 823996800 137569746798 23260576584960 3938335901876574 665461638360921600 112455019821910008672 19005016038068177934300 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.363422825076303, 0.687167041810999], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 15, 'curve_counts': [15, 197, 2196, 28849, 370515, 4819034, 62763807, 815785921, 10604462868, 137858870957], 'curve_counts_str': '15 197 2196 28849 370515 4819034 62763807 815785921 10604462868 137858870957 ', 'curves': ['y^2=6*x^6+3*x^5+10*x^4+4*x^3+10*x^2+12*x+4', 'y^2=4*x^6+11*x^5+9*x^4+10*x^3+9*x^2+3', 'y^2=11*x^6+2*x^5+10*x^3+12*x^2+5*x+11', 'y^2=9*x^6+9*x^5+9*x^4+11*x^3+3*x^2+6*x', 'y^2=10*x^6+4*x^5+10*x^4+12*x^3+9*x^2+8', 'y^2=5*x^6+12*x^5+11*x^4+x^3+8*x^2+x+12', 'y^2=8*x^6+3*x^5+x^4+8*x^3+4*x^2+7*x+5', 'y^2=8*x^6+11*x^5+x^4+x^3+11*x^2+x+3', 'y^2=x^6+10*x^5+6*x^4+4*x^3+10*x^2+4*x+11', 'y^2=6*x^6+8*x^4+6*x^3+6*x+8'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 4, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.43.1', '2.0.4.1'], 'geometric_splitting_field': '4.0.29584.2', 'geometric_splitting_polynomials': [[121, 0, -21, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 10, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 10, 'label': '2.13.b_o', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['2.0.43.1', '2.0.4.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 2, 1, 6], [2, 5, 1, 24]], 'poly': [1, 1, 14, 13, 169], 'poly_str': '1 1 14 13 169 ', 'primitive_models': [], 'principal_polarization_count': 13, 'q': 13, 'real_poly': [1, 1, -12], 'simple_distinct': ['1.13.ad', '1.13.e'], 'simple_factors': ['1.13.adA', '1.13.eA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['7,9*F^2-23*F+11*V', '3,-7*F-8'], 'size': 63, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.29584.2', 'splitting_polynomials': [[121, 0, -21, 0, 1]], 'twist_count': 8, 'twists': [['2.13.ah_bm', '2.169.bb_to', 2], ['2.13.ab_o', '2.169.bb_to', 2], ['2.13.h_bm', '2.169.bb_to', 2], ['2.13.aj_bs', '2.28561.lb_dxto', 4], ['2.13.ad_i', '2.28561.lb_dxto', 4], ['2.13.d_i', '2.28561.lb_dxto', 4], ['2.13.j_bs', '2.28561.lb_dxto', 4]], 'weak_equivalence_count': 4, 'zfv_index': 147, 'zfv_index_factorization': [[3, 1], [7, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 48, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1548, 'zfv_singular_count': 4, 'zfv_singular_primes': ['7,9*F^2-23*F+11*V', '3,-7*F-8']}
-
av_fq_endalg_factors • Show schema
Hide schema
-
id: 9527
{'base_label': '2.13.b_o', 'extension_degree': 1, 'extension_label': '1.13.ad', 'multiplicity': 1}
-
id: 9528
{'base_label': '2.13.b_o', 'extension_degree': 1, 'extension_label': '1.13.e', 'multiplicity': 1}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.13.ad', 'galois_group': '2T1', 'places': [['11', '1'], ['1', '1']]}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.13.e', 'galois_group': '2T1', 'places': [['5', '1'], ['8', '1']]}
