# Stored data for abelian variety isogeny class 3.23.aw_ip_abzv, downloaded from the LMFDB on 16 June 2026.
{"abvar_count": 4513, "abvar_counts": [4513, 137768351, 1805348874844, 21914201142006719, 266505266925446872048, 3243783930808944944698928, 39471581442512643698256350471, 480252812996839244202985639633775, 5843212712169828261728714380882050364, 71094324648032871498566508650751646712576], "abvar_counts_str": "4513 137768351 1805348874844 21914201142006719 266505266925446872048 3243783930808944944698928 39471581442512643698256350471 480252812996839244202985639633775 5843212712169828261728714380882050364 71094324648032871498566508650751646712576 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.0394215835568431, 0.175002735950932, 0.351893565228486], "center_dim": 6, "curve_count": 2, "curve_counts": [2, 492, 12197, 279836, 6433207, 148019145, 3404825216, 78311319396, 1801153175195, 41426497145507], "curve_counts_str": "2 492 12197 279836 6433207 148019145 3404825216 78311319396 1801153175195 41426497145507 ", "curves": [], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["6T11"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["6T11"], "geometric_number_fields": ["6.0.1392115799.1"], "geometric_splitting_field": "6.0.1392115799.1", "geometric_splitting_polynomials": [[127, 190, 133, 19, 23, -2, 1]], "has_geom_ss_factor": false, "has_jacobian": 0, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.23.aw_ip_abzv", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.1392115799.1"], "p": 23, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -22, 223, -1347, 5129, -11638, 12167], "poly_str": "1 -22 223 -1347 5129 -11638 12167 ", "primitive_models": [], "q": 23, "real_poly": [1, -22, 154, -335], "simple_distinct": ["3.23.aw_ip_abzv"], "simple_factors": ["3.23.aw_ip_abzvA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.1392115799.1", "splitting_polynomials": [[127, 190, 133, 19, 23, -2, 1]], "twist_count": 2, "twists": [["3.23.w_ip_bzv", "3.529.abm_bbr_avqb", 2]]}