# Stored data for abelian variety isogeny class 5.2.af_o_abd_by_acx, downloaded from the LMFDB on 01 November 2024.
{"abvar_count": 4, "abvar_counts": [4, 2456, 25084, 1262384, 42126004, 1031905592, 44380442684, 1154063878496, 34983002592172, 1279585543944776], "abvar_counts_str": "4 2456 25084 1262384 42126004 1031905592 44380442684 1154063878496 34983002592172 1279585543944776 ", "angle_rank": 5, "angles": [0.0882933931853403, 0.191709583462832, 0.338081491767359, 0.491435615995621, 0.678554723992519], "center_dim": 10, "curve_count": -2, "curve_counts": [-2, 8, 7, 20, 38, 65, 159, 268, 511, 1158], "curve_counts_str": "-2 8 7 20 38 65 159 268 511 1158 ", "curves": [""], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 1, "dim5_factors": 1, "g": 5, "galois_groups": ["10T39"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "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": 1, "geom_dim5_factors": 1, "geometric_center_dim": 10, "geometric_extension_degree": 1, "geometric_galois_groups": ["10T39"], "geometric_number_fields": ["10.0.2869065680951.1"], "geometric_splitting_field": "10.0.2869065680951.1", "geometric_splitting_polynomials": [[4, 5, 12, -3, 20, -22, 29, -23, 14, -5, 1]], "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "jacobian_count": 0, "label": "5.2.af_o_abd_by_acx", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "number_fields": ["10.0.2869065680951.1"], "p": 2, "p_rank": 5, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2]], "poly": [1, -5, 14, -29, 50, -75, 100, -116, 112, -80, 32], "poly_str": "1 -5 14 -29 50 -75 100 -116 112 -80 32 ", "primitive_models": [], "principal_polarization_count": 2, "q": 2, "real_poly": [1, -5, 4, 11, -14, 1], "simple_distinct": ["5.2.af_o_abd_by_acx"], "simple_factors": ["5.2.af_o_abd_by_acxA"], "simple_multiplicities": [1], "size": 2, "slopes": ["0A", "0B", "0C", "0D", "0E", "1A", "1B", "1C", "1D", "1E"], "splitting_field": "10.0.2869065680951.1", "splitting_polynomials": [[4, 5, 12, -3, 20, -22, 29, -23, 14, -5, 1]], "twist_count": 2, "twists": [["5.2.f_o_bd_by_cx", "5.4.d_g_j_o_bv", 2]], "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 431}