# Stored data for abelian variety isogeny class 5.3.ak_bw_afs_nb_aym, downloaded from the LMFDB on 30 May 2024.
{"abvar_count": 8, "abvar_counts": [8, 47040, 12989312, 5087846400, 1227099817768, 223632308551680, 52379898422025112, 13009098341862604800, 3019576655024956750976, 717837007930413343896000], "abvar_counts_str": "8 47040 12989312 5087846400 1227099817768 223632308551680 52379898422025112 13009098341862604800 3019576655024956750976 717837007930413343896000 ", "angle_rank": 2, "angles": [0.116139763599385, 0.166666666666667, 0.166666666666667, 0.304086723984696, 0.616139763599385], "center_dim": 8, "curve_count": -6, "curve_counts": [-6, 6, 24, 110, 334, 792, 2290, 7006, 20112, 59046], "curve_counts_str": "-6 6 24 110 334 792 2290 7006 20112 59046 ", "dim1_distinct": 2, "dim1_factors": 3, "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": 5, "galois_groups": ["2T1", "2T1", "4T2"], "geom_dim1_distinct": 3, "geom_dim1_factors": 5, "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": 5, "geometric_extension_degree": 12, "geometric_galois_groups": ["1T1", "2T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.8.1", "2.0.20.1"], "geometric_splitting_field": "4.0.6400.1", "geometric_splitting_polynomials": [[9, 0, -4, 0, 1]], "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": 1, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "label": "5.3.ak_bw_afs_nb_aym", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "number_fields": ["2.0.3.1", "2.0.8.1", "4.0.400.1"], "p": 3, "p_rank": 3, "p_rank_deficit": 2, "poly": [1, -10, 48, -148, 339, -636, 1017, -1332, 1296, -810, 243], "poly_str": "1 -10 48 -148 339 -636 1017 -1332 1296 -810 243 ", "primitive_models": [], "q": 3, "real_poly": [1, -10, 33, -28, -48, 72], "simple_distinct": ["1.3.ad", "1.3.ac", "2.3.ac_c"], "simple_factors": ["1.3.adA", "1.3.adB", "1.3.acA", "2.3.ac_cA"], "simple_multiplicities": [2, 1, 1], "slopes": ["0A", "0B", "0C", "1/2A", "1/2B", "1/2C", "1/2D", "1A", "1B", "1C"], "splitting_field": "16.0.11007531417600000000.1", "splitting_polynomials": [[1, 0, 0, 0, -7, 0, 0, 0, 48, 0, 0, 0, -7, 0, 0, 0, 1]], "twist_count": 72, "twists": [["5.3.ag_q_abg_cx_aga", "5.9.ae_w_abu_jp_auu", 2], ["5.3.ag_q_aq_av_dg", "5.9.ae_w_abu_jp_auu", 2], ["5.3.ae_g_ae_j_ay", "5.9.ae_w_abu_jp_auu", 2], ["5.3.ac_a_e_d_am", "5.9.ae_w_abu_jp_auu", 2], ["5.3.a_ac_ai_j_y", "5.9.ae_w_abu_jp_auu", 2], ["5.3.a_ac_i_j_ay", "5.9.ae_w_abu_jp_auu", 2], ["5.3.c_a_ae_d_m", "5.9.ae_w_abu_jp_auu", 2], ["5.3.e_g_e_j_y", "5.9.ae_w_abu_jp_auu", 2], ["5.3.g_q_q_av_adg", "5.9.ae_w_abu_jp_auu", 2], ["5.3.g_q_bg_cx_ga", "5.9.ae_w_abu_jp_auu", 2], ["5.3.k_bw_fs_nb_ym", "5.9.ae_w_abu_jp_auu", 2], ["5.3.ah_bb_acy_gs_ams", "5.27.ae_bn_i_ass_jgy", 3], ["5.3.ae_p_abo_dm_agm", "5.27.ae_bn_i_ass_jgy", 3], ["5.3.ab_d_ae_g_ag", "5.27.ae_bn_i_ass_jgy", 3], ["5.3.ae_m_abc_cl_aeq", "5.81.bc_xq_nig_gllp_ckimm", 4], ["5.3.a_e_ai_p_ay", "5.81.bc_xq_nig_gllp_ckimm", 4], ["5.3.a_e_i_p_y", "5.81.bc_xq_nig_gllp_ckimm", 4], ["5.3.e_m_bc_cl_eq", "5.81.bc_xq_nig_gllp_ckimm", 4], ["5.3.ad_h_au_bq_aco", "5.729.ck_xp_auwm_bnnfe_dulurs", 6], ["5.3.ad_h_ae_ag_be", "5.729.ck_xp_auwm_bnnfe_dulurs", 6], ["5.3.a_h_ai_s_abw", "5.729.ck_xp_auwm_bnnfe_dulurs", 6], ["5.3.a_h_i_s_bw", "5.729.ck_xp_auwm_bnnfe_dulurs", 6], ["5.3.b_d_e_g_g", "5.729.ck_xp_auwm_bnnfe_dulurs", 6], ["5.3.d_h_e_ag_abe", "5.729.ck_xp_auwm_bnnfe_dulurs", 6], ["5.3.d_h_u_bq_co", "5.729.ck_xp_auwm_bnnfe_dulurs", 6], ["5.3.e_p_bo_dm_gm", "5.729.ck_xp_auwm_bnnfe_dulurs", 6], ["5.3.h_bb_cy_gs_ms", "5.729.ck_xp_auwm_bnnfe_dulurs", 6], ["5.3.ai_ba_abi_av_eq", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.ai_bi_adu_il_aps", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.ae_c_k_d_abw", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.ae_k_aw_bz_ads", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.ac_ae_o_j_aci", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.ac_c_c_d_am", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.ac_e_ac_j_am", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.ac_k_ao_bz_aci", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.c_ae_ao_j_ci", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.c_c_ac_d_m", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.c_e_c_j_m", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.c_k_o_bz_ci", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.e_c_ak_d_bw", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.e_k_w_bz_ds", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.i_ba_bi_av_aeq", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.i_bi_du_il_ps", "5.6561.rc_fqwc_bgtais_fmqbnfl_szpgqagy", 8], ["5.3.ae_d_i_as_y", "5.531441.adws_hrxkf_amrleawm_scejoekkg_avgsrqeyhbiq", 12], ["5.3.a_af_ai_g_bw", "5.531441.adws_hrxkf_amrleawm_scejoekkg_avgsrqeyhbiq", 12], ["5.3.a_af_i_g_abw", "5.531441.adws_hrxkf_amrleawm_scejoekkg_avgsrqeyhbiq", 12], ["5.3.e_d_ai_as_ay", "5.531441.adws_hrxkf_amrleawm_scejoekkg_avgsrqeyhbiq", 12], ["5.3.af_l_ak_ag_be", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.af_t_aby_ek_aic", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.ae_j_aq_bk_acu", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.ac_ah_u_m_adg", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.ac_ab_i_g_abk", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.ac_b_e_am_m", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.ac_f_ae_a_m", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.ac_h_ai_be_abk", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.ac_n_au_cu_adg", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.ab_ab_ac_g_g", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.ab_h_ak_be_abq", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.a_b_ai_m_a", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.a_b_i_m_a", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.b_ab_c_g_ag", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.b_h_k_be_bq", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.c_ah_au_m_dg", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.c_ab_ai_g_bk", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.c_b_ae_am_am", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.c_f_e_a_am", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.c_h_i_be_bk", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.c_n_u_cu_dg", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.e_j_q_bk_cu", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.f_l_k_ag_abe", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24], ["5.3.f_t_by_ek_ic", "5.282429536481.jvvy_acwjiieitf_afbuxsqtygsiiy_ddrbkgahldcadrmms_jtxenumxbmbrthrsqxogy", 24]]}