# Stored data for abelian variety isogeny class 4.5.am_cs_akb_bak, downloaded from the LMFDB on 26 May 2024.
{"abvar_count": 54, "abvar_counts": [54, 335340, 265153824, 152646768000, 96425619575904, 60878289193562880, 37608663565748948454, 23298326743389451200000, 14551714461451081885255584, 9103624378553472574290739200], "abvar_counts_str": "54 335340 265153824 152646768000 96425619575904 60878289193562880 37608663565748948454 23298326743389451200000 14551714461451081885255584 9103624378553472574290739200 ", "angle_rank": 4, "angles": [0.0878807261908105, 0.147583617650433, 0.26594214021463, 0.450170915301056], "center_dim": 8, "curve_count": -6, "curve_counts": [-6, 22, 135, 626, 3159, 15955, 78870, 390882, 1953099, 9774937], "curve_counts_str": "-6 22 135 626 3159 15955 78870 390882 1953099 9774937 ", "dim1_distinct": 2, "dim1_factors": 2, "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": 4, "galois_groups": ["2T1", "2T1", "4T3"], "geom_dim1_distinct": 2, "geom_dim1_factors": 2, "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": 8, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1", "4T3"], "geometric_number_fields": ["2.0.4.1", "2.0.11.1", "4.0.4901.1"], "geometric_splitting_polynomials": [[222093, 185370, -117254, -116938, 14239, 42320, 2534, -11968, 746, 522, 890, -584, 158, -56, 28, -8, 1]], "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "label": "4.5.am_cs_akb_bak", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "number_fields": ["2.0.4.1", "2.0.11.1", "4.0.4901.1"], "p": 5, "p_rank": 4, "p_rank_deficit": 0, "poly": [1, -12, 70, -261, 686, -1305, 1750, -1500, 625], "poly_str": "1 -12 70 -261 686 -1305 1750 -1500 625 ", "primitive_models": [], "q": 5, "real_poly": [1, -12, 50, -81, 36], "simple_distinct": ["1.5.ae", "1.5.ad", "2.5.af_n"], "simple_factors": ["1.5.aeA", "1.5.adA", "2.5.af_nA"], "simple_multiplicities": [1, 1, 1], "slopes": ["0A", "0B", "0C", "0D", "1A", "1B", "1C", "1D"], "splitting_polynomials": [[222093, 185370, -117254, -116938, 14239, 42320, 2534, -11968, 746, 522, 890, -584, 158, -56, 28, -8, 1]], "twist_count": 16, "twists": [["4.5.ag_q_abh_cw", "4.25.ae_i_dv_aoa", 2], ["4.5.ae_g_d_aba", "4.25.ae_i_dv_aoa", 2], ["4.5.ac_a_j_ao", "4.25.ae_i_dv_aoa", 2], ["4.5.c_a_aj_ao", "4.25.ae_i_dv_aoa", 2], ["4.5.e_g_ad_aba", "4.25.ae_i_dv_aoa", 2], ["4.5.g_q_bh_cw", "4.25.ae_i_dv_aoa", 2], ["4.5.m_cs_kb_bak", "4.25.ae_i_dv_aoa", 2], ["4.5.ak_cc_ahn_to", "4.625.a_ey_uzf_fme", 4], ["4.5.ag_w_acl_fw", "4.625.a_ey_uzf_fme", 4], ["4.5.ae_m_abb_ca", "4.625.a_ey_uzf_fme", 4], ["4.5.a_e_ap_i", "4.625.a_ey_uzf_fme", 4], ["4.5.a_e_p_i", "4.625.a_ey_uzf_fme", 4], ["4.5.e_m_bb_ca", "4.625.a_ey_uzf_fme", 4], ["4.5.g_w_cl_fw", "4.625.a_ey_uzf_fme", 4], ["4.5.k_cc_hn_to", "4.625.a_ey_uzf_fme", 4]]}