-
av_fq_isog • Show schema
{'abvar_count': 11, 'abvar_counts': [11, 5401, 257741, 35219921, 3529666921, 292458970441, 25135170882371, 1889303102701025, 149934591088219421, 12458548573201620241], 'abvar_counts_str': '11 5401 257741 35219921 3529666921 292458970441 25135170882371 1889303102701025 149934591088219421 12458548573201620241 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 3, 'angle_rank': 1, 'angles': [0.0766501895190568, 0.123349810480943, 0.476650189519057, 0.676650189519057], 'center_dim': 8, 'cohen_macaulay_max': 1, 'curve_count': -1, 'curve_counts': [-1, 9, 8, 65, 244, 756, 2393, 6689, 19664, 60494], 'curve_counts_str': '-1 9 8 65 244 756 2393 6689 19664 60494 ', 'curves': [], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 1, 'dim4_factors': 1, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 2, 'g': 4, 'galois_groups': ['8T2'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 4, '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': 10, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.35.1'], 'geometric_splitting_field': '2.0.35.1', 'geometric_splitting_polynomials': [[9, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': -1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '4.3.af_m_az_bx', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 60, 'newton_coelevation': 6, 'newton_elevation': 0, 'number_fields': ['8.0.37515625.1'], 'p': 3, 'p_rank': 4, 'p_rank_deficit': 0, 'pic_prime_gens': [], 'poly': [1, -5, 12, -25, 49, -75, 108, -135, 81], 'poly_str': '1 -5 12 -25 49 -75 108 -135 81 ', 'primitive_models': [], 'principal_polarization_count': 0, 'q': 3, 'real_poly': [1, -5, 0, 20, -5], 'simple_distinct': ['4.3.af_m_az_bx'], 'simple_factors': ['4.3.af_m_az_bxA'], 'simple_multiplicities': [1], 'singular_primes': ['11,2*F^4+42*F^2-F+22*V^3-38*V^2-35*V+10'], 'size': 2, 'slopes': ['0A', '0B', '0C', '0D', '1A', '1B', '1C', '1D'], 'splitting_field': '8.0.37515625.1', 'splitting_polynomials': [[16, -8, -4, 6, -1, 3, -1, -1, 1]], 'twist_count': 8, 'twists': [['4.3.f_m_z_bx', '4.9.ab_ai_r_cd', 2], ['4.3.a_c_a_t', '4.243.a_bbu_a_odmp', 5], ['4.3.f_m_z_bx', '4.243.a_bbu_a_odmp', 5], ['4.3.a_ab_a_ai', '4.14348907.a_acvzoka_a_eymgkhvcluc', 15], ['4.3.a_ac_a_t', '4.3486784401.acuim_bwbidbfm_adroasmopkaq_bfydriwojmttlbf', 20], ['4.3.a_a_a_r', '4.3486784401.acuim_bwbidbfm_adroasmopkaq_bfydriwojmttlbf', 20], ['4.3.a_a_a_ar', '4.12157665459056928801.dkjlgwvk_fcfpmxfqyttyrne_ejtlhuwdtmpbvyhmjnkyqq_cjnzihaaarnshwpdbmgjnxihosxmp', 40], ['4.3.a_b_a_ai', '4.42391158275216203514294433201.dowbuywodci_nhoumqvgzpdeyizkvijpc_zqntvikeawxrcsdwjwadlmremshdsse_bwdkoseoumexruxcqtqomqyyleivmusegkpzdyxfus', 60]], 'weak_equivalence_count': 2, 'zfv_index': 11, 'zfv_index_factorization': [[11, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 1, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 121, 'zfv_singular_count': 2, 'zfv_singular_primes': ['11,2*F^4+42*F^2-F+22*V^3-38*V^2-35*V+10']} -
av_fq_endalg_factors • Show schema
-
id: 2589511
{'base_label': '4.3.af_m_az_bx', 'extension_degree': 1, 'extension_label': '4.3.af_m_az_bx', 'multiplicity': 1} -
id: 2589512
{'base_label': '4.3.af_m_az_bx', 'extension_degree': 2, 'extension_label': '4.9.ab_ai_r_cd', 'multiplicity': 1} -
id: 2589513
{'base_label': '4.3.af_m_az_bx', 'extension_degree': 5, 'extension_label': '2.243.a_nx', 'multiplicity': 2} -
id: 2589514
{'base_label': '4.3.af_m_az_bx', 'extension_degree': 10, 'extension_label': '1.59049.nx', 'multiplicity': 4}
-
id: 2589511
-
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '8.0.37515625.1', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.3.af_m_az_bx', 'galois_group': '8T2', 'places': [['2', '2', '2', '0', '2', '0', '0', '0'], ['2', '0', '2', '1', '2', '0', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '8.0.37515625.1', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.9.ab_ai_r_cd', 'galois_group': '8T2', 'places': [['2', '2', '2', '0', '2', '0', '0', '0'], ['2', '0', '2', '1', '2', '0', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.1225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.243.a_nx', 'galois_group': '4T2', 'places': [['8/3', '2/3', '5/3', '8/3'], ['1', '0', '1', '2']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.35.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59049.nx', 'galois_group': '2T1', 'places': [['0', '1'], ['2', '1']]}
Abelian variety isogeny class data - 4.3.af_m_az_bx