# Stored data for abelian variety isogeny class 5.2.af_p_abh_ci_ado, downloaded from the LMFDB on 11 June 2024.
{"abvar_count": 6, "abvar_counts": [6, 4140, 35334, 1407600, 57965226, 950837940, 30065616426, 1076814000000, 36471362203926, 1322067976346700], "abvar_counts_str": "6 4140 35334 1407600 57965226 950837940 30065616426 1076814000000 36471362203926 1322067976346700 ", "angle_rank": 3, "angles": [0.105278500938958, 0.25, 0.316838792567905, 0.5, 0.641249159630546], "center_dim": 10, "curve_count": -2, "curve_counts": [-2, 10, 10, 22, 48, 58, 110, 254, 532, 1190], "curve_counts_str": "-2 10 10 22 48 58 110 254 532 1190 ", "curves": [""], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 5, "galois_groups": ["2T1", "2T1", "6T11"], "geom_dim1_distinct": 1, "geom_dim1_factors": 2, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 7, "geometric_extension_degree": 8, "geometric_galois_groups": ["1T1", "6T11"], "geometric_number_fields": ["1.1.1.1", "6.0.679024.1"], "geometric_splitting_field": "6.0.679024.1", "geometric_splitting_polynomials": [[2, 2, 4, -3, 5, -3, 1]], "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "jacobian_count": 0, "label": "5.2.af_p_abh_ci_ado", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "number_fields": ["2.0.4.1", "2.0.8.1", "6.0.679024.1"], "p": 2, "p_rank": 3, "p_rank_deficit": 2, "pic_prime_gens": [[3, 2, 1, 6]], "poly": [1, -5, 15, -33, 60, -92, 120, -132, 120, -80, 32], "poly_str": "1 -5 15 -33 60 -92 120 -132 120 -80 32 ", "primitive_models": [], "principal_polarization_count": 0, "q": 2, "real_poly": [1, -5, 5, 7, -10], "simple_distinct": ["1.2.ac", "1.2.a", "3.2.ad_f_ah"], "simple_factors": ["1.2.acA", "1.2.aA", "3.2.ad_f_ahA"], "simple_multiplicities": [1, 1, 1], "size": 21, "slopes": ["0A", "0B", "0C", "1/2A", "1/2B", "1/2C", "1/2D", "1A", "1B", "1C"], "splitting_polynomials": [[4096, 0, 0, 0, -2048, 0, 0, 0, 256, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, 1]], "twist_count": 22, "twists": [["5.2.ab_d_af_i_am", "5.4.f_p_bf_bw_dk", 2], ["5.2.b_d_f_i_m", "5.4.f_p_bf_bw_dk", 2], ["5.2.f_p_bh_ci_do", "5.4.f_p_bf_bw_dk", 2], ["5.2.ah_z_ach_ec_age", "5.256.ad_awb_afcz_frkq_dlkls", 8], ["5.2.ad_b_f_ag_e", "5.256.ad_awb_afcz_frkq_dlkls", 8], ["5.2.ad_f_ah_o_ay", "5.256.ad_awb_afcz_frkq_dlkls", 8], ["5.2.ad_j_at_bi_aca", "5.256.ad_awb_afcz_frkq_dlkls", 8], ["5.2.ab_b_d_c_a", "5.256.ad_awb_afcz_frkq_dlkls", 8], ["5.2.b_b_ad_c_a", "5.256.ad_awb_afcz_frkq_dlkls", 8], ["5.2.d_b_af_ag_ae", "5.256.ad_awb_afcz_frkq_dlkls", 8], ["5.2.d_f_h_o_y", "5.256.ad_awb_afcz_frkq_dlkls", 8], ["5.2.d_j_t_bi_ca", "5.256.ad_awb_afcz_frkq_dlkls", 8], ["5.2.h_z_ch_ec_ge", "5.256.ad_awb_afcz_frkq_dlkls", 8], ["5.2.af_n_abb_by_ada", "5.16777216.axah_kyycrb_aeezalyfxh_bhpvmzxtlbnc_ailmqarwckdjavg", 24], ["5.2.ad_d_ab_e_ak", "5.16777216.axah_kyycrb_aeezalyfxh_bhpvmzxtlbnc_ailmqarwckdjavg", 24], ["5.2.ad_h_an_y_abm", "5.16777216.axah_kyycrb_aeezalyfxh_bhpvmzxtlbnc_ailmqarwckdjavg", 24], ["5.2.ab_b_b_ac_c", "5.16777216.axah_kyycrb_aeezalyfxh_bhpvmzxtlbnc_ailmqarwckdjavg", 24], ["5.2.b_b_ab_ac_ac", "5.16777216.axah_kyycrb_aeezalyfxh_bhpvmzxtlbnc_ailmqarwckdjavg", 24], ["5.2.d_d_b_e_k", "5.16777216.axah_kyycrb_aeezalyfxh_bhpvmzxtlbnc_ailmqarwckdjavg", 24], ["5.2.d_h_n_y_bm", "5.16777216.axah_kyycrb_aeezalyfxh_bhpvmzxtlbnc_ailmqarwckdjavg", 24], ["5.2.f_n_bb_by_da", "5.16777216.axah_kyycrb_aeezalyfxh_bhpvmzxtlbnc_ailmqarwckdjavg", 24]], "zfv_index": 100, "zfv_index_factorization": [[2, 2], [5, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 992}