# Stored data for abelian variety isogeny class 4.2.ac_a_e_ag, downloaded from the LMFDB on 01 June 2024.
{"abvar_count": 5, "abvar_counts": [5, 85, 8765, 37825, 2524525, 26969905, 369002345, 4033695825, 74507522345, 1116741305425], "abvar_counts_str": "5 85 8765 37825 2524525 26969905 369002345 4033695825 74507522345 1116741305425 ", "angle_rank": 3, "angles": [0.13358218482384, 0.190415260312362, 0.513309389919772, 0.95647631443125], "center_dim": 8, "curve_count": 1, "curve_counts": [1, 1, 13, 9, 61, 97, 169, 241, 553, 1041], "curve_counts_str": "1 1 13 9 61 97 169 241 553 1041 ", "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, "g": 4, "galois_groups": ["8T24"], "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": ["8T24"], "geometric_number_fields": ["8.0.214798336.3"], "geometric_splitting_field": "6.0.839056.1", "geometric_splitting_polynomials": [[1, 0, 8, 0, 6, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 0, "hyp_count": 0, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "jacobian_count": 0, "label": "4.2.ac_a_e_ag", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "number_fields": ["8.0.214798336.3"], "p": 2, "p_rank": 0, "p_rank_deficit": 4, "pic_prime_gens": [], "poly": [1, -2, 0, 4, -6, 8, 0, -16, 16], "poly_str": "1 -2 0 4 -6 8 0 -16 16 ", "primitive_models": [], "principal_polarization_count": 0, "q": 2, "real_poly": [1, -2, -8, 16, 2], "simple_distinct": ["4.2.ac_a_e_ag"], "simple_factors": ["4.2.ac_a_e_agA"], "simple_multiplicities": [1], "size": 2, "slopes": ["1/4A", "1/4B", "1/4C", "1/4D", "3/4A", "3/4B", "3/4C", "3/4D"], "splitting_field": "6.0.839056.1", "splitting_polynomials": [[1, 0, 8, 0, 6, 0, 1]], "twist_count": 4, "twists": [["4.2.c_a_ae_ag", "4.4.ae_e_q_aci", 2], ["4.2.ac_e_ai_k", "4.16.ai_y_ads_ui", 4], ["4.2.c_e_i_k", "4.16.ai_y_ads_ui", 4]], "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 4}