# Stored data for abelian variety isogeny class 4.3.a_h_a_bd, downloaded from the LMFDB on 22 May 2024.
{"abvar_count": 181, "abvar_counts": [181, 32761, 478021, 55071241, 3485049296, 228504076441, 22873754548301, 1946384247444025, 150102122961829261, 12145568595550095616], "abvar_counts_str": "181 32761 478021 55071241 3485049296 228504076441 22873754548301 1946384247444025 150102122961829261 12145568595550095616 ", "angle_rank": 2, "angles": [0.314973371727147, 0.389790204492765, 0.610209795507235, 0.685026628272853], "center_dim": 8, "curve_count": 4, "curve_counts": [4, 24, 28, 100, 244, 576, 2188, 6884, 19684, 58994], "curve_counts_str": "4 24 28 100 244 576 2188 6884 19684 58994 ", "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": ["8T10"], "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": ["4.0.11125.1"], "geometric_splitting_field": "4.0.11125.1", "geometric_splitting_polynomials": [[31, -1, 11, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 0, "has_principal_polarization": 1, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "label": "4.3.a_h_a_bd", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 20, "number_fields": ["8.0.31684000000.3"], "p": 3, "p_rank": 4, "p_rank_deficit": 0, "pic_prime_gens": [[1, 19, 1, 4]], "poly": [1, 0, 7, 0, 29, 0, 63, 0, 81], "poly_str": "1 0 7 0 29 0 63 0 81 ", "primitive_models": [], "principal_polarization_count": 4, "q": 3, "real_poly": [1, 0, -5, 0, 5], "simple_distinct": ["4.3.a_h_a_bd"], "simple_factors": ["4.3.a_h_a_bdA"], "simple_multiplicities": [1], "size": 4, "slopes": ["0A", "0B", "0C", "0D", "1A", "1B", "1C", "1D"], "splitting_field": "8.0.31684000000.3", "splitting_polynomials": [[81, 0, 63, 0, 29, 0, 7, 0, 1]], "twist_count": 6, "twists": [["4.3.a_ah_a_bd", "4.81.s_ml_fjw_cimn", 4], ["4.3.af_n_az_bs", "4.3486784401.asrum_gtbedgoa_abnqwbhlzysjw_gdqwqhdamqchilq", 20], ["4.3.a_d_ak_ab", "4.3486784401.asrum_gtbedgoa_abnqwbhlzysjw_gdqwqhdamqchilq", 20], ["4.3.a_d_k_ab", "4.3486784401.asrum_gtbedgoa_abnqwbhlzysjw_gdqwqhdamqchilq", 20], ["4.3.f_n_z_bs", "4.3486784401.asrum_gtbedgoa_abnqwbhlzysjw_gdqwqhdamqchilq", 20]], "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": 7921}