# Stored data for abelian variety isogeny class 3.2.ac_g_ai, downloaded from the LMFDB on 07 June 2024.
{"abvar_count": 9, "abvar_counts": [9, 405, 1053, 2025, 44649, 426465, 1880433, 11390625, 126584289, 1215569025], "abvar_counts_str": "9 405 1053 2025 44649 426465 1880433 11390625 126584289 1215569025 ", "angle_rank": 0, "angles": [0.25, 0.5, 0.5], "center_dim": 4, "curve_count": 1, "curve_counts": [1, 13, 13, 9, 41, 97, 113, 161, 481, 1153], "curve_counts_str": "1 13 13 9 41 97 113 161 481 1153 ", "curves": [], "dim1_distinct": 2, "dim1_factors": 3, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 1, "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": 1, "geometric_extension_degree": 8, "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": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "jacobian_count": 0, "label": "3.2.ac_g_ai", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "number_fields": ["2.0.4.1", "2.0.8.1"], "p": 2, "p_rank": 0, "p_rank_deficit": 3, "poly": [1, -2, 6, -8, 12, -8, 8], "poly_str": "1 -2 6 -8 12 -8 8 ", "primitive_models": [], "q": 2, "real_poly": [1, -2], "simple_distinct": ["1.2.ac", "1.2.a"], "simple_factors": ["1.2.acA", "1.2.aA", "1.2.aB"], "simple_multiplicities": [1, 2], "slopes": ["1/2A", "1/2B", "1/2C", "1/2D", "1/2E", "1/2F"], "splitting_field": "4.0.256.1", "splitting_polynomials": [[1, 0, 0, 0, 1]], "twist_count": 25, "twists": [["3.2.c_g_i", "3.4.i_bc_cm", 2], ["3.2.ac_a_e", "3.8.e_y_cm", 3], ["3.2.ac_ac_i", "3.16.ai_aq_jw", 4], ["3.2.c_ac_ai", "3.16.ai_aq_jw", 4], ["3.2.c_a_ae", "3.64.bg_rg_gbo", 6], ["3.2.ag_s_abg", "3.256.ads_frs_aereu", 8], ["3.2.ae_k_aq", "3.256.ads_frs_aereu", 8], ["3.2.ac_c_a", "3.256.ads_frs_aereu", 8], ["3.2.a_ac_a", "3.256.ads_frs_aereu", 8], ["3.2.a_c_a", "3.256.ads_frs_aereu", 8], ["3.2.a_g_a", "3.256.ads_frs_aereu", 8], ["3.2.c_c_a", "3.256.ads_frs_aereu", 8], ["3.2.e_k_q", "3.256.ads_frs_aereu", 8], ["3.2.g_s_bg", "3.256.ads_frs_aereu", 8], ["3.2.ac_e_ae", "3.4096.aey_agbo_chrdw", 12], ["3.2.c_e_e", "3.4096.aey_agbo_chrdw", 12], ["3.2.ae_i_am", "3.16777216.abkjg_veshnc_agpdbywrmu", 24], ["3.2.ac_e_ai", "3.16777216.abkjg_veshnc_agpdbywrmu", 24], ["3.2.ac_e_ae", "3.16777216.abkjg_veshnc_agpdbywrmu", 24], ["3.2.a_a_ae", "3.16777216.abkjg_veshnc_agpdbywrmu", 24], ["3.2.a_a_a", "3.16777216.abkjg_veshnc_agpdbywrmu", 24], ["3.2.a_a_e", "3.16777216.abkjg_veshnc_agpdbywrmu", 24], ["3.2.a_e_a", "3.16777216.abkjg_veshnc_agpdbywrmu", 24], ["3.2.c_e_i", "3.16777216.abkjg_veshnc_agpdbywrmu", 24], ["3.2.e_i_m", "3.16777216.abkjg_veshnc_agpdbywrmu", 24]]}