# Stored data for abelian variety isogeny class 3.8.ak_ce_ahl, downloaded from the LMFDB on 04 June 2024. {"abvar_count": 174, "abvar_counts": [174, 323640, 163179288, 72174956400, 35119392164274, 17944930736104320, 9220749861410095854, 4724605587893250175200, 2418230910605106824239176, 1237896150177347356139631000], "abvar_counts_str": "174 323640 163179288 72174956400 35119392164274 17944930736104320 9220749861410095854 4724605587893250175200 2418230910605106824239176 1237896150177347356139631000 ", "angle_rank": 3, "angles": [0.195988130520287, 0.322067999367694, 0.361652535788433], "center_dim": 6, "curve_count": -1, "curve_counts": [-1, 77, 614, 4297, 32709, 261134, 2096555, 16785169, 134238782, 1073703757], "curve_counts_str": "-1 77 614 4297 32709 261134 2096555 16785169 134238782 1073703757 ", "dim1_distinct": 1, "dim1_factors": 1, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["2T1", "4T3"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "4T3"], "geometric_number_fields": ["2.0.23.1", "4.0.7025.1"], "geometric_splitting_polynomials": [[16, 0, 292, 0, 433, 0, 42, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "label": "3.8.ak_ce_ahl", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "number_fields": ["2.0.23.1", "4.0.7025.1"], "p": 2, "p_rank": 3, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 3], [2, 2, 1, 3]], "poly": [1, -10, 56, -193, 448, -640, 512], "poly_str": "1 -10 56 -193 448 -640 512 ", "primitive_models": [], "principal_polarization_count": 9, "q": 8, "real_poly": [1, -10, 32, -33], "simple_distinct": ["1.8.ad", "2.8.ah_bb"], "simple_factors": ["1.8.adA", "2.8.ah_bbA"], "simple_multiplicities": [1, 1], "size": 9, "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_polynomials": [[16, 0, 292, 0, 433, 0, 42, 0, 1]], "twist_count": 4, "twists": [["3.8.ae_o_abf", "3.64.m_gq_bsh", 2], ["3.8.e_o_bf", "3.64.m_gq_bsh", 2], ["3.8.k_ce_hl", "3.64.m_gq_bsh", 2]], "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": 6463}