# Stored data for abelian variety isogeny class 2.9.af_m, downloaded from the LMFDB on 21 October 2025.
{"abvar_count": 44, "abvar_counts": [44, 6336, 475904, 41184000, 3479345804, 282070204416, 22836618789644, 1852326013824000, 150094603531668224, 12157211066243956416], "abvar_counts_str": "44 6336 475904 41184000 3479345804 282070204416 22836618789644 1852326013824000 150094603531668224 12157211066243956416 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.0, 0.0, 0.553300379038114], "center_dim": 3, "curve_count": 5, "curve_counts": [5, 81, 650, 6273, 58925, 530766, 4774565, 43030593, 387420410, 3486654081], "curve_counts_str": "5 81 650 6273 58925 530766 4774565 43030593 387420410 3486654081 ", "curves": [], "dim1_distinct": 2, "dim1_factors": 2, "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": 2, "galois_groups": ["1T1", "2T1"], "geom_dim1_distinct": 2, "geom_dim1_factors": 2, "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": 3, "geometric_extension_degree": 1, "geometric_galois_groups": ["1T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.35.1"], "geometric_splitting_field": "2.0.35.1", "geometric_splitting_polynomials": [[9, -1, 1]], "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "2.9.af_m", "max_divalg_dim": 4, "max_geom_divalg_dim": 4, "max_twist_degree": 6, "newton_coelevation": 1, "newton_elevation": 1, "number_fields": ["1.1.1.1", "2.0.35.1"], "p": 3, "p_rank": 1, "p_rank_deficit": 1, "poly": [1, -5, 12, -45, 81], "poly_str": "1 -5 12 -45 81 ", "primitive_models": [], "q": 9, "real_poly": [1, -5, -6], "simple_distinct": ["1.9.ag", "1.9.b"], "simple_factors": ["1.9.agA", "1.9.bA"], "simple_multiplicities": [1, 1], "slopes": ["0A", "1/2A", "1/2B", "1A"], "splitting_field": "2.0.35.1", "splitting_polynomials": [[9, -1, 1]], "twist_count": 10, "twists": [["2.9.ah_y", "2.81.ab_afo", 2], ["2.9.f_m", "2.81.ab_afo", 2], ["2.9.h_y", "2.81.ab_afo", 2], ["2.9.e_v", "2.729.adc_egc", 3], ["2.9.ab_s", "2.6561.ald_bxwa", 4], ["2.9.b_s", "2.6561.ald_bxwa", 4], ["2.9.ae_v", "2.531441.abaa_aekic", 6], ["2.9.ac_p", "2.531441.abaa_aekic", 6], ["2.9.c_p", "2.531441.abaa_aekic", 6]]}