# Stored data for abelian variety isogeny class 1.31.ad, downloaded from the LMFDB on 07 June 2024.
{"abvar_count": 29, "abvar_counts": [29, 1015, 30044, 922635, 28618679, 887499760, 27512927009, 852892097715, 26439615641684, 819628234555375], "abvar_counts_str": "29 1015 30044 922635 28618679 887499760 27512927009 852892097715 26439615641684 819628234555375 ", "angle_rank": 1, "angles": [0.413172001920289], "center_dim": 2, "curve_count": 29, "curve_counts": [29, 1015, 30044, 922635, 28618679, 887499760, 27512927009, 852892097715, 26439615641684, 819628234555375], "curve_counts_str": "29 1015 30044 922635 28618679 887499760 27512927009 852892097715 26439615641684 819628234555375 ", "dim1_distinct": 1, "dim1_factors": 1, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 1, "galois_groups": ["2T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "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": 2, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.115.1"], "geometric_splitting_field": "2.0.115.1", "geometric_splitting_polynomials": [[29, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "jacobian_count": 2, "label": "1.31.ad", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "number_fields": ["2.0.115.1"], "p": 31, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 2]], "poly": [1, -3, 31], "poly_str": "1 -3 31 ", "primitive_models": [], "principal_polarization_count": 2, "q": 31, "real_poly": [1, -3], "simple_distinct": ["1.31.ad"], "simple_factors": ["1.31.adA"], "simple_multiplicities": [1], "size": 2, "slopes": ["0A", "1A"], "splitting_field": "2.0.115.1", "splitting_polynomials": [[29, -1, 1]], "twist_count": 2, "twists": [["1.31.d", "1.961.cb", 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": 115}