# Stored data for abelian variety isogeny class 1.401.av, downloaded from the LMFDB on 07 June 2024.
{"abvar_count": 381, "abvar_counts": [381, 161163, 64497204, 25857152883, 10368639202101, 4157825155300800, 1667287936536589461, 668582463250713985443, 268101567758473033420404, 107508728670760841445598203], "abvar_counts_str": "381 161163 64497204 25857152883 10368639202101 4157825155300800 1667287936536589461 668582463250713985443 268101567758473033420404 107508728670760841445598203 ", "angle_rank": 1, "angles": [0.324310233615729], "center_dim": 2, "curve_count": 381, "curve_counts": [381, 161163, 64497204, 25857152883, 10368639202101, 4157825155300800, 1667287936536589461, 668582463250713985443, 268101567758473033420404, 107508728670760841445598203], "curve_counts_str": "381 161163 64497204 25857152883 10368639202101 4157825155300800 1667287936536589461 668582463250713985443 268101567758473033420404 107508728670760841445598203 ", "dim1_distinct": 1, "dim1_factors": 1, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 1, "galois_groups": ["2T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.1163.1"], "geometric_splitting_field": "2.0.1163.1", "geometric_splitting_polynomials": [[291, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 7, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "jacobian_count": 7, "label": "1.401.av", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "number_fields": ["2.0.1163.1"], "p": 401, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -21, 401], "poly_str": "1 -21 401 ", "primitive_models": [], "q": 401, "real_poly": [1, -21], "simple_distinct": ["1.401.av"], "simple_factors": ["1.401.avA"], "simple_multiplicities": [1], "slopes": ["0A", "1A"], "splitting_field": "2.0.1163.1", "splitting_polynomials": [[291, -1, 1]], "twist_count": 2, "twists": [["1.401.v", "1.160801.nx", 2]]}