# Stored data for abelian variety isogeny class 3.17.au_gw_abjs, downloaded from the LMFDB on 13 September 2025.
{"abvar_count": 1390, "abvar_counts": [1390, 20635940, 116056526560, 577733681491200, 2852802639769683950, 14051565675319963182080, 69085302355515995271225710, 339450726757133479180975027200, 1667717059791063184198474216392160, 8193464781434832248200164247934257700], "abvar_counts_str": "1390 20635940 116056526560 577733681491200 2852802639769683950 14051565675319963182080 69085302355515995271225710 339450726757133479180975027200 1667717059791063184198474216392160 8193464781434832248200164247934257700 ", "angle_corank": 1, "angle_rank": 2, "angles": [0.0157896134133987, 0.0779791303773693, 0.349122946746732], "center_dim": 6, "curve_count": -2, "curve_counts": [-2, 246, 4810, 82818, 1415078, 24117792, 410299286, 6975799682, 118588284490, 2015993668086], "curve_counts_str": "-2 246 4810 82818 1415078 24117792 410299286 6975799682 118588284490 2015993668086 ", "curves": [], "dim1_distinct": 1, "dim1_factors": 1, "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": 3, "galois_groups": ["2T1", "4T2"], "geom_dim1_distinct": 2, "geom_dim1_factors": 3, "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": 4, "geometric_extension_degree": 6, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.4.1", "2.0.15.1"], "geometric_splitting_field": "4.0.3600.2", "geometric_splitting_polynomials": [[16, 0, -7, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "label": "3.17.au_gw_abjs", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 4, "newton_elevation": 0, "number_fields": ["2.0.4.1", "4.0.225.1"], "p": 17, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -20, 178, -928, 3026, -5780, 4913], "poly_str": "1 -20 178 -928 3026 -5780 4913 ", "primitive_models": [], "q": 17, "real_poly": [1, -20, 127, -248], "simple_distinct": ["1.17.ai", "2.17.am_cn"], "simple_factors": ["1.17.aiA", "2.17.am_cnA"], "simple_multiplicities": [1, 1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "8.0.12960000.1", "splitting_polynomials": [[1, 0, -3, 0, 8, 0, -3, 0, 1]], "twist_count": 16, "twists": [["3.17.ae_ao_ei", "3.289.abs_xs_ahvy", 2], ["3.17.e_ao_aei", "3.289.abs_xs_ahvy", 2], ["3.17.u_gw_bjs", "3.289.abs_xs_ahvy", 2], ["3.17.ai_bf_aei", "3.4913.aea_agqj_cdpga", 3], ["3.17.e_ao_aei", "3.4913.aea_agqj_cdpga", 3], ["3.17.ao_ec_aus", "3.83521.abbc_phvk_ahbpubq", 4], ["3.17.ak_cg_aks", "3.83521.abbc_phvk_ahbpubq", 4], ["3.17.k_cg_ks", "3.83521.abbc_phvk_ahbpubq", 4], ["3.17.o_ec_us", "3.83521.abbc_phvk_ahbpubq", 4], ["3.17.i_bf_ei", "3.24137569.abdgs_pchdpv_aeztoymtei", 6], ["3.17.ai_d_ei", "3.582622237229761.actlpow_adceqobugden_wjqxxzcbvlvczbiq", 12], ["3.17.ac_d_bc", "3.582622237229761.actlpow_adceqobugden_wjqxxzcbvlvczbiq", 12], ["3.17.ac_bf_abc", "3.582622237229761.actlpow_adceqobugden_wjqxxzcbvlvczbiq", 12], ["3.17.c_d_abc", "3.582622237229761.actlpow_adceqobugden_wjqxxzcbvlvczbiq", 12], ["3.17.c_bf_bc", "3.582622237229761.actlpow_adceqobugden_wjqxxzcbvlvczbiq", 12], ["3.17.i_d_aei", "3.582622237229761.actlpow_adceqobugden_wjqxxzcbvlvczbiq", 12]]}