# Stored data for abelian variety isogeny class 1.199.ai, downloaded from the LMFDB on 02 May 2024.
{"label": "1.199.ai", "g": 1, "p": 199, "q": 199, "poly": [1, -8, 199], "poly_str": "1 -8 199 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.408486983953398], "angle_rank": 1, "number_fields": ["2.0.183.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [192, 39936, 7884864, 1568206848, 312078493632, 62103838178304, 12358664480163648, 2459374193642815488, 489415464095788691136, 97393677359092937112576], "abvar_counts_str": "192 39936 7884864 1568206848 312078493632 62103838178304 12358664480163648 2459374193642815488 489415464095788691136 97393677359092937112576 ", "abvar_count": 192, "curve_counts": [192, 39936, 7884864, 1568206848, 312078493632, 62103838178304, 12358664480163648, 2459374193642815488, 489415464095788691136, 97393677359092937112576], "curve_counts_str": "192 39936 7884864 1568206848 312078493632 62103838178304 12358664480163648 2459374193642815488 489415464095788691136 97393677359092937112576 ", "curve_count": 192, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.183.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.199.i", "1.39601.mw", 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": ["1.199.ai"], "simple_multiplicities": [1], "simple_factors": ["1.199.aiA"], "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, -8], "jacobian_count": 16, "hyp_count": 16, "geometric_splitting_field": "2.0.183.1", "splitting_field": "2.0.183.1", "geometric_splitting_polynomials": [[46, -1, 1]], "splitting_polynomials": [[46, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}