# Stored data for abelian variety isogeny class 4.5.a_o_a_dq, downloaded from the LMFDB on 16 August 2026.
{"abvar_count": 1084, "abvar_counts": [1084, 1175056, 241741756, 148921897216, 95381250536764, 58439076593963536, 37252332957673140796, 23343901495516792422400, 14551887036608035820112124, 9097582953956942838115591696], "abvar_counts_str": "1084 1175056 241741756 148921897216 95381250536764 58439076593963536 37252332957673140796 23343901495516792422400 14551887036608035820112124 9097582953956942838115591696 ", "angle_corank": 2, "angle_rank": 2, "angles": [0.329028055852047, 0.437386669223964, 0.562613330776036, 0.670971944147953], "center_dim": 8, "curve_count": 6, "curve_counts": [6, 54, 126, 610, 3126, 15318, 78126, 391642, 1953126, 9768454], "curve_counts_str": "6 54 126 610 3126 15318 78126 391642 1953126 9768454 ", "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": ["8T9"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 2, "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": 4, "geometric_extension_degree": 2, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.28400.1"], "geometric_splitting_field": "4.0.28400.1", "geometric_splitting_polynomials": [[71, 0, 17, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 0, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "4.5.a_o_a_dq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 8, "newton_coelevation": 6, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["8.0.206479360000.2"], "p": 5, "p_rank": 4, "p_rank_deficit": 0, "poly": [1, 0, 14, 0, 94, 0, 350, 0, 625], "poly_str": "1 0 14 0 94 0 350 0 625 ", "primitive_models": [], "q": 5, "real_poly": [1, 0, -6, 0, 4], "simple_distinct": ["4.5.a_o_a_dq"], "simple_factors": ["4.5.a_o_a_dqA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "0D", "1A", "1B", "1C", "1D"], "splitting_field": "8.0.206479360000.2", "splitting_polynomials": [[625, 0, 350, 0, 94, 0, 14, 0, 1]], "twist_count": 4, "twists": [["4.5.a_ao_a_dq", "4.625.aq_ym_avoq_cbrba", 4], ["4.5.ac_c_ag_o", "4.390625.bnc_dzulw_dwjlixk_fjlkxrmju", 8], ["4.5.c_c_g_o", "4.390625.bnc_dzulw_dwjlixk_fjlkxrmju", 8]]}