# Stored data for abelian variety isogeny class 3.23.aw_io_abzl, downloaded from the LMFDB on 16 June 2026.
{"abvar_count": 4499, "abvar_counts": [4499, 137188007, 1800065686991, 21894088246506971, 266486467838989230569, 3243963113127485945717807, 39472671948250986119517469891, 480256389840624485641092893769075, 5843221580966327469378901602517414208, 71094346060786271174886236411051512486367], "abvar_counts_str": "4499 137188007 1800065686991 21894088246506971 266486467838989230569 3243963113127485945717807 39472671948250986119517469891 480256389840624485641092893769075 5843221580966327469378901602517414208 71094346060786271174886236411051512486367 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.0586739858078333, 0.15117023086495, 0.361585258984492], "center_dim": 6, "curve_count": 2, "curve_counts": [2, 490, 12161, 279578, 6432752, 148027321, 3404919282, 78311902642, 1801155908972, 41426509622670], "curve_counts_str": "2 490 12161 279578 6432752 148027321 3404919282 78311902642 1801155908972 41426509622670 ", "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": ["6.0.1006556771.2"], "geometric_splitting_field": "6.0.1006556771.2", "geometric_splitting_polynomials": [[143, 150, 134, 25, 22, -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_io_abzl", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.1006556771.2"], "p": 23, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -22, 222, -1337, 5106, -11638, 12167], "poly_str": "1 -22 222 -1337 5106 -11638 12167 ", "primitive_models": [], "q": 23, "real_poly": [1, -22, 153, -325], "simple_distinct": ["3.23.aw_io_abzl"], "simple_factors": ["3.23.aw_io_abzlA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.1006556771.2", "splitting_polynomials": [[143, 150, 134, 25, 22, -2, 1]], "twist_count": 2, "twists": [["3.23.w_io_bzl", "3.529.abo_zs_amfb", 2]]}