# Stored data for abelian variety isogeny class 4.3.a_a_a_aj, downloaded from the LMFDB on 17 June 2024.
{"abvar_count": 73, "abvar_counts": [73, 5329, 532900, 28398241, 3486725353, 283982410000, 22876787671993, 1947408269043601, 150094636071840100, 12157253687252974609], "abvar_counts_str": "73 5329 532900 28398241 3486725353 283982410000 22876787671993 1947408269043601 150094636071840100 12157253687252974609 ", "angle_rank": 0, "angles": [0.0833333333333333, 0.416666666666667, 0.583333333333333, 0.916666666666667], "center_dim": 8, "curve_count": 4, "curve_counts": [4, 10, 28, 46, 244, 730, 2188, 6886, 19684, 59050], "curve_counts_str": "4 10 28 46 244 730 2188 6886 19684 59050 ", "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 1, "dim4_factors": 1, "dim5_distinct": 0, "dim5_factors": 0, "g": 4, "galois_groups": ["8T3"], "geom_dim1_distinct": 1, "geom_dim1_factors": 4, "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": 1, "geometric_extension_degree": 12, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "has_geom_ss_factor": true, "has_jacobian": 0, "has_principal_polarization": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "label": "4.3.a_a_a_aj", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 120, "number_fields": ["8.0.5308416.1"], "p": 3, "p_rank": 0, "p_rank_deficit": 4, "pic_prime_gens": [[1, 5, 1, 3], [1, 7, 1, 3]], "poly": [1, 0, 0, 0, -9, 0, 0, 0, 81], "poly_str": "1 0 0 0 -9 0 0 0 81 ", "primitive_models": [], "principal_polarization_count": 0, "q": 3, "real_poly": [1, 0, -12, 0, 9], "simple_distinct": ["4.3.a_a_a_aj"], "simple_factors": ["4.3.a_a_a_ajA"], "simple_multiplicities": [1], "size": 41, "slopes": ["1/2A", "1/2B", "1/2C", "1/2D", "1/2E", "1/2F", "1/2G", "1/2H"], "splitting_field": "8.0.5308416.1", "splitting_polynomials": [[1, 0, 0, 0, -1, 0, 0, 0, 1]], "twist_count": 51, "twists": [["4.3.a_a_a_s", "4.27.a_a_a_cec", 3], ["4.3.am_co_aii_rr", "4.6561.mm_dtbm_spumq_cqvujbf", 8], ["4.3.ag_m_a_abb", "4.6561.mm_dtbm_spumq_cqvujbf", 8], ["4.3.ag_s_abk_cl", "4.6561.mm_dtbm_spumq_cqvujbf", 8], ["4.3.a_ag_a_bb", "4.6561.mm_dtbm_spumq_cqvujbf", 8], ["4.3.a_a_a_j", "4.6561.mm_dtbm_spumq_cqvujbf", 8], ["4.3.a_g_a_bb", "4.6561.mm_dtbm_spumq_cqvujbf", 8], ["4.3.g_m_a_abb", "4.6561.mm_dtbm_spumq_cqvujbf", 8], ["4.3.g_s_bk_cl", "4.6561.mm_dtbm_spumq_cqvujbf", 8], ["4.3.m_co_ii_rr", "4.6561.mm_dtbm_spumq_cqvujbf", 8], ["4.3.aj_bn_aee_ii", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.ag_j_s_acu", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.ag_p_as_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.ag_v_acc_ee", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.ad_a_j_as", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.ad_d_a_a", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.ad_g_aj_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.ad_j_as_bk", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.ad_m_abb_cc", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_am_a_cc", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_aj_a_bk", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_ag_a_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_ad_a_a", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_ad_a_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_a_a_as", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_d_a_a", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_d_a_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_g_a_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_j_a_bk", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_m_a_cc", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.d_a_aj_as", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.d_d_a_a", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.d_g_j_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.d_j_s_bk", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.d_m_bb_cc", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.g_j_as_acu", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.g_p_s_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.g_v_cc_ee", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.j_bn_ee_ii", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.ad_g_aj_j", "4.12157665459056928801.btdwncjk_bxaabeekjfvmpbe_biaxurnxtqivmqhsqsbkiq_roezhbeypdfsluxiljvlhbdwmcgp", 40], ["4.3.d_g_j_j", "4.12157665459056928801.btdwncjk_bxaabeekjfvmpbe_biaxurnxtqivmqhsqsbkiq_roezhbeypdfsluxiljvlhbdwmcgp", 40], ["4.3.a_a_a_a", "4.79766443076872509863361.akvicfosmi_bzfpyktbuwtwhkbxhc_afinxiulrxiacvuuamvmfviilue_jafgvochsbnetaeoucxytmvuhoafqzisgs", 48], ["4.3.ad_d_aj_bb", "4.22528399544939174411840147874772641.ampdyczxqymlsi_crgyrkfvyrabkxkagktcxrefxc_aijxfozzpdfixocgtcgtzlpqlipcivekzhutxqe_qmkctzidasdalbgbetlmruznfdowmktczpeovcfgirdjctdxis", 72], ["4.3.ad_d_j_abb", "4.22528399544939174411840147874772641.ampdyczxqymlsi_crgyrkfvyrabkxkagktcxrefxc_aijxfozzpdfixocgtcgtzlpqlipcivekzhutxqe_qmkctzidasdalbgbetlmruznfdowmktczpeovcfgirdjctdxis", 72], ["4.3.a_d_aj_a", "4.22528399544939174411840147874772641.ampdyczxqymlsi_crgyrkfvyrabkxkagktcxrefxc_aijxfozzpdfixocgtcgtzlpqlipcivekzhutxqe_qmkctzidasdalbgbetlmruznfdowmktczpeovcfgirdjctdxis", 72], ["4.3.a_d_j_a", "4.22528399544939174411840147874772641.ampdyczxqymlsi_crgyrkfvyrabkxkagktcxrefxc_aijxfozzpdfixocgtcgtzlpqlipcivekzhutxqe_qmkctzidasdalbgbetlmruznfdowmktczpeovcfgirdjctdxis", 72], ["4.3.d_d_aj_abb", "4.22528399544939174411840147874772641.ampdyczxqymlsi_crgyrkfvyrabkxkagktcxrefxc_aijxfozzpdfixocgtcgtzlpqlipcivekzhutxqe_qmkctzidasdalbgbetlmruznfdowmktczpeovcfgirdjctdxis", 72], ["4.3.d_d_j_bb", "4.22528399544939174411840147874772641.ampdyczxqymlsi_crgyrkfvyrabkxkagktcxrefxc_aijxfozzpdfixocgtcgtzlpqlipcivekzhutxqe_qmkctzidasdalbgbetlmruznfdowmktczpeovcfgirdjctdxis", 72], ["4.3.a_ad_a_j", "4.1797010299914431210413179829509605039731475627537851106401.aralxitywvektidwijasei_ewsevhcnmbpupdkrtbtwbhsejijzesfqpwazemjrdc_autauiqexoroizkpmfahmjzvhucjndmtoihovqmnmzqtqpuntnoqlmaldrflhie_cddhhyjdjfsqnbmwstkhggbtjbeceyqxnjkkcfgjrpiwbhfbyfftxywftrvvzxgiqpdxlfwxxcdqiuhnzms", 120], ["4.3.a_d_a_j", "4.1797010299914431210413179829509605039731475627537851106401.aralxitywvektidwijasei_ewsevhcnmbpupdkrtbtwbhsejijzesfqpwazemjrdc_autauiqexoroizkpmfahmjzvhucjndmtoihovqmnmzqtqpuntnoqlmaldrflhie_cddhhyjdjfsqnbmwstkhggbtjbeceyqxnjkkcfgjrpiwbhfbyfftxywftrvvzxgiqpdxlfwxxcdqiuhnzms", 120]], "zfv_index": 6561, "zfv_index_factorization": [[3, 8]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 27, "zfv_plus_index_factorization": [[3, 3]], "zfv_plus_norm": 81}