# Stored data for abelian variety isogeny class 1.223.k, downloaded from the LMFDB on 27 April 2024.
{"label": "1.223.k", "g": 1, "p": 223, "q": 223, "poly": [1, 10, 223], "poly_str": "1 10 223 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.608677124198548], "angle_rank": 1, "number_fields": ["2.0.88.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [234, 50076, 11083878, 2472953184, 551474548794, 122978486050524, 27424204437026358, 6115597644426940800, 1363778273700856746954, 304122555033096240991836], "abvar_counts_str": "234 50076 11083878 2472953184 551474548794 122978486050524 27424204437026358 6115597644426940800 1363778273700856746954 304122555033096240991836 ", "abvar_count": 234, "curve_counts": [234, 50076, 11083878, 2472953184, 551474548794, 122978486050524, 27424204437026358, 6115597644426940800, 1363778273700856746954, 304122555033096240991836], "curve_counts_str": "234 50076 11083878 2472953184 551474548794 122978486050524 27424204437026358 6115597644426940800 1363778273700856746954 304122555033096240991836 ", "curve_count": 234, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.88.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.223.ak", "1.49729.ni", 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": ["1.223.k"], "simple_multiplicities": [1], "simple_factors": ["1.223.kA"], "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, 10], "jacobian_count": 10, "hyp_count": 10, "geometric_splitting_field": "2.0.88.1", "splitting_field": "2.0.88.1", "geometric_splitting_polynomials": [[22, 0, 1]], "splitting_polynomials": [[22, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}