# Stored data for abelian variety isogeny class 3.16.a_p_z, downloaded from the LMFDB on 03 June 2024.
{"abvar_count": 4377, "abvar_counts": [4377, 18939279, 70005733623, 283663524704475, 1150862199100780827, 4724577124830347386329, 19342623991852281874212552, 79222330405052267249956489275, 324518487071673822728433471775503, 1329229005209008977408034259986773429], "abvar_counts_str": "4377 18939279 70005733623 283663524704475 1150862199100780827 4724577124830347386329 19342623991852281874212552 79222330405052267249956489275 324518487071673822728433471775503 1329229005209008977408034259986773429 ", "angle_rank": 3, "angles": [0.268440525139518, 0.469255584958661, 0.775495104641217], "center_dim": 6, "curve_count": 17, "curve_counts": [17, 287, 4172, 66047, 1046702, 16785068, 268432832, 4294651127, 68719462637, 1099512462752], "curve_counts_str": "17 287 4172 66047 1046702 16785068 268432832 4294651127 68719462637 1099512462752 ", "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["6T11"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["6T11"], "geometric_number_fields": ["6.0.979954538135391.1"], "geometric_splitting_field": "6.0.979954538135391.1", "geometric_splitting_polynomials": [[4096, 0, 240, -25, 15, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 0, "has_principal_polarization": 1, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "label": "3.16.a_p_z", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "number_fields": ["6.0.979954538135391.1"], "p": 2, "p_rank": 3, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [1, 5, 1, 228], [1, 7, 1, 2]], "poly": [1, 0, 15, 25, 240, 0, 4096], "poly_str": "1 0 15 25 240 0 4096 ", "primitive_models": [], "principal_polarization_count": 912, "q": 16, "real_poly": [1, 0, -33, 25], "simple_distinct": ["3.16.a_p_z"], "simple_factors": ["3.16.a_p_zA"], "simple_multiplicities": [1], "size": 912, "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.979954538135391.1", "splitting_polynomials": [[4096, 0, 240, -25, 15, 0, 1]], "twist_count": 2, "twists": [["3.16.a_p_az", "3.256.be_bbd_vvz", 2]], "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": 60879}