# Stored data for abelian variety isogeny class 2.256.acd_bwd, downloaded from the LMFDB on 09 June 2024.
{"abvar_count": 52653, "abvar_counts": [52653, 4260838719, 281438061848100, 18446834335464510699, 1208925983194026518273403, 79228158345531974764319490000, 5192296818140332506309041433509553, 340282366707193121246268879717245382099, 22300745197802058037676408059741817237319900, 1461501637329800024955612734633395033476749971359], "abvar_counts_str": "52653 4260838719 281438061848100 18446834335464510699 1208925983194026518273403 79228158345531974764319490000 5192296818140332506309041433509553 340282366707193121246268879717245382099 22300745197802058037676408059741817237319900 1461501637329800024955612734633395033476749971359 ", "angle_rank": 2, "angles": [0.0468977989437654, 0.239713717685186], "center_dim": 4, "curve_count": 202, "curve_counts": [202, 65014, 16775017, 4294988314, 1099511776552, 281474961900343, 72057593477341702, 18446744062122393394, 4722366482715365551897, 1208925819613716882793654], "curve_counts_str": "202 65014 16775017 4294988314 1099511776552 281474961900343 72057593477341702 18446744062122393394 4722366482715365551897 1208925819613716882793654 ", "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.50319009.1"], "geometric_splitting_field": "4.0.50319009.1", "geometric_splitting_polynomials": [[1108, 416, 117, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "label": "2.256.acd_bwd", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "number_fields": ["4.0.50319009.1"], "p": 2, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -55, 1251, -14080, 65536], "poly_str": "1 -55 1251 -14080 65536 ", "primitive_models": [], "q": 256, "real_poly": [1, -55, 739], "simple_distinct": ["2.256.acd_bwd"], "simple_factors": ["2.256.acd_bwdA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.50319009.1", "splitting_polynomials": [[1108, 416, 117, -1, 1]], "twist_count": 2, "twists": [["2.256.cd_bwd", "2.65536.aud_ijwj", 2]]}