# Stored data for abelian variety isogeny class 4.2.c_f_g_l, downloaded from the LMFDB on 11 October 2025.
{"abvar_count": 89, "abvar_counts": [89, 1513, 2492, 110449, 1138399, 16437232, 221304641, 3591911929, 73083838436, 1171830363433], "abvar_counts_str": "89 1513 2492 110449 1138399 16437232 221304641 3591911929 73083838436 1171830363433 ", "angle_corank": 0, "angle_rank": 4, "angles": [0.284109330992173, 0.520934539746995, 0.65971807050861, 0.788797001507888], "center_dim": 8, "cohen_macaulay_max": 1, "curve_count": 5, "curve_counts": [5, 11, 5, 27, 35, 65, 103, 211, 545, 1091], "curve_counts_str": "5 11 5 27 35 65 103 211 545 1091 ", "curves": [], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 1, "dim4_factors": 1, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 1, "g": 4, "galois_groups": ["8T35"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 1, "geom_dim4_factors": 1, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 8, "geometric_extension_degree": 1, "geometric_galois_groups": ["8T35"], "geometric_number_fields": ["8.0.4964356096.1"], "geometric_splitting_field": "8.0.4964356096.1", "geometric_splitting_polynomials": [[16, -16, 20, -12, 11, -6, 5, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "4.2.c_f_g_l", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 6, "newton_elevation": 0, "number_fields": ["8.0.4964356096.1"], "p": 2, "p_rank": 4, "p_rank_deficit": 0, "poly": [1, 2, 5, 6, 11, 12, 20, 16, 16], "poly_str": "1 2 5 6 11 12 20 16 16 ", "primitive_models": [], "q": 2, "real_poly": [1, 2, -3, -6, -1], "simple_distinct": ["4.2.c_f_g_l"], "simple_factors": ["4.2.c_f_g_lA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "0C", "0D", "1A", "1B", "1C", "1D"], "splitting_field": "8.0.4964356096.1", "splitting_polynomials": [[16, -16, 20, -12, 11, -6, 5, -2, 1]], "twist_count": 2, "twists": [["4.2.ac_f_ag_l", "4.4.g_x_co_fp", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 721, "zfv_singular_count": 0, "zfv_singular_primes": []}