# Stored data for abelian variety isogeny class 2.729.adx_fxz, downloaded from the LMFDB on 10 June 2024. {"abvar_count": 461715, "abvar_counts": [461715, 281265235125, 150079806212196555, 79766332828306001863125, 42391159482657468191618569200, 22528399620434741566798122703936125, 11972515184633044289619172496294202360795, 6362685441178814189712796009413533141172613125, 3381391913523449451325104122826144673699698664990635, 1797010299914440993702053034652913972848385672362752800000], "abvar_counts_str": "461715 281265235125 150079806212196555 79766332828306001863125 42391159482657468191618569200 22528399620434741566798122703936125 11972515184633044289619172496294202360795 6362685441178814189712796009413533141172613125 3381391913523449451325104122826144673699698664990635 1797010299914440993702053034652913972848385672362752800000 ", "angle_rank": 2, "angles": [0.0674750356185814, 0.148770162783123], "center_dim": 4, "curve_count": 629, "curve_counts": [629, 529247, 387382211, 282429146123, 205891137959114, 150094635799985567, 109418989150439827991, 79766443077409976868083, 58149737003052494972682929, 42391158275216434300365662702], "curve_counts_str": "629 529247 387382211 282429146123 205891137959114 150094635799985567 109418989150439827991 79766443077409976868083 58149737003052494972682929 42391158275216434300365662702 ", "dim1_distinct": 0, "dim1_factors": 0, "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": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.33694605.3"], "geometric_splitting_field": "4.0.33694605.3", "geometric_splitting_polynomials": [[5091, -354, 178, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "label": "2.729.adx_fxz", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "number_fields": ["4.0.33694605.3"], "p": 3, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -101, 4003, -73629, 531441], "poly_str": "1 -101 4003 -73629 531441 ", "primitive_models": [], "q": 729, "real_poly": [1, -101, 2545], "simple_distinct": ["2.729.adx_fxz"], "simple_factors": ["2.729.adx_fxzA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.33694605.3", "splitting_polynomials": [[5091, -354, 178, -1, 1]], "twist_count": 2, "twists": [["2.729.dx_fxz", "2.531441.adgl_evyxl", 2]]}