# Stored data for abelian variety isogeny class 1.193.ab, downloaded from the LMFDB on 03 May 2024.
{"label": "1.193.ab", "g": 1, "p": 193, "q": 193, "poly": [1, -1, 193], "poly_str": "1 -1 193 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.48854130179455], "angle_rank": 1, "number_fields": ["2.0.771.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [193, 37635, 7189636, 1387414275, 267784998913, 51682554593280, 9974730375808321, 1925122950258281475, 371548729901089643908, 71708904873780178380675], "abvar_counts_str": "193 37635 7189636 1387414275 267784998913 51682554593280 9974730375808321 1925122950258281475 371548729901089643908 71708904873780178380675 ", "abvar_count": 193, "curve_counts": [193, 37635, 7189636, 1387414275, 267784998913, 51682554593280, 9974730375808321, 1925122950258281475, 371548729901089643908, 71708904873780178380675], "curve_counts_str": "193 37635 7189636 1387414275 267784998913 51682554593280 9974730375808321 1925122950258281475 371548729901089643908 71708904873780178380675 ", "curve_count": 193, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.771.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.193.b", "1.37249.ov", 2]], "twist_count": 2, "max_twist_degree": 2, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": true, "simple_distinct": ["1.193.ab"], "simple_multiplicities": [1], "simple_factors": ["1.193.abA"], "dim1_factors": 1, "dim2_factors": 0, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 1, "dim2_distinct": 0, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 1, "geom_dim2_factors": 0, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 1, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, -1], "jacobian_count": 6, "hyp_count": 6, "geometric_splitting_field": "2.0.771.1", "splitting_field": "2.0.771.1", "geometric_splitting_polynomials": [[193, -1, 1]], "splitting_polynomials": [[193, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}