# Stored data for abelian variety isogeny class 3.13.ac_o_abm, downloaded from the LMFDB on 07 January 2026.
{"abvar_count": 2016, "abvar_counts": [2016, 5588352, 10427429376, 23493364747776, 51268494626417376, 112560974220851380224, 247179646487751552281952, 542739896801866860350994432, 1192492327369059762616107403776, 2620005400476308460638263349066112], "abvar_counts_str": "2016 5588352 10427429376 23493364747776 51268494626417376 112560974220851380224 247179646487751552281952 542739896801866860350994432 1192492327369059762616107403776 2620005400476308460638263349066112 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.198102473374794, 0.476016118523692, 0.709004445634585], "center_dim": 6, "curve_count": 12, "curve_counts": [12, 194, 2160, 28802, 371892, 4831340, 62777748, 815639234, 10604135088, 137859005234], "curve_counts_str": "12 194 2160 28802 371892 4831340 62777748 815639234 10604135088 137859005234 ", "curves": ["y^2=2*x^8+6*x^7+2*x^6+2*x^5+4*x^4+11*x^3+4*x^2+7*x+5", "y^2=2*x^8+11*x^6+10*x^5+12*x^4+7*x^3+x^2+8*x+1", "y^2=2*x^7+7*x^6+3*x^5+x^4+12*x^3+x^2+2*x+6", "y^2=x^8+12*x^7+4*x^6+9*x^5+x^4+4*x^3+x^2+12", "y^2=x^8+x^7+2*x^6+2*x^5+10*x^4+10*x^3+10*x^2+12*x+4", "y^2=2*x^8+6*x^7+7*x^6+9*x^5+4*x^4+9*x^3+5*x^2+6*x+6", "y^2=2*x^8+6*x^7+11*x^6+8*x^5+x^4+2*x^3+3*x^2+5*x+5", "y^2=x^7+3*x^6+9*x^5+8*x^4+6*x^3+3*x^2+3*x", "y^2=2*x^8+11*x^7+9*x^5+3*x^4+7*x^3+10*x^2+11*x+4", "y^2=2*x^8+4*x^7+x^6+10*x^5+x^4+5*x^2+2*x+1", "y^2=x^8+4*x^7+7*x^6+9*x^5+4*x^4+4*x^3+8*x^2+11*x+2", "y^2=2*x^8+10*x^7+11*x^6+7*x^5+12*x^4+3*x^3+6*x^2+x", "y^2=x^8+7*x^7+11*x^6+5*x^5+2*x^4+11*x^3+5*x^2+3*x+7", "y^2=2*x^8+10*x^7+3*x^6+12*x^5+12*x^4+9*x^3+5*x^2+7*x+3", "y^2=2*x^8+3*x^7+8*x^6+x^5+6*x^4+8*x^3+3*x^2+4*x+5", "y^2=x^8+11*x^5+5*x^4+4*x^3+7*x^2+12*x+5", "y^2=x^8+2*x^7+6*x^6+6*x^5+6*x^4+9*x^2+11*x+11", "y^2=2*x^8+5*x^7+12*x^6+10*x^5+10*x^4+8*x^3+2*x^2+12*x+7", "y^2=x^8+8*x^7+5*x^6+12*x^5+7*x^4+9*x^3+5*x^2+4*x+2", "y^2=2*x^8+x^7+9*x^6+3*x^5+x^4+11*x^3+12*x^2+8*x+8", "y^2=2*x^8+x^7+12*x^5+10*x^4+2*x^3+10*x^2+9", "y^2=x^7+9*x^6+11*x^5+12*x^4+4*x^2+4*x+7", "y^2=2*x^8+2*x^6+x^5+6*x^4+11*x^3+4*x", "y^2=2*x^7+12*x^6+7*x^5+4*x^4+9*x^3+3*x^2+8*x+10", "y^2=x^8+8*x^7+2*x^6+8*x^5+2*x^4+12*x^3+4*x^2+8*x+9", "y^2=2*x^8+9*x^7+x^6+11*x^5+2*x^4+7*x^2+10*x+10", "y^2=2*x^8+x^7+12*x^6+x^4+6*x^3+8*x^2+3*x+4", "y^2=x^8+9*x^7+5*x^6+9*x^5+7*x^4+7*x^3+8*x^2+9*x", "y^2=2*x^8+12*x^7+x^6+4*x^5+9*x^4+2*x^3+10*x^2+3*x+5", "y^2=x^8+9*x^6+8*x^5+7*x^4+8*x^3+8*x^2+5*x+4", "y^2=2*x^8+3*x^7+11*x^6+x^5+4*x^4+x^3+8*x^2+2*x+8", "y^2=2*x^7+2*x^6+2*x^5+10*x^4+6*x^3+5*x^2+8*x+2", "y^2=2*x^8+7*x^7+12*x^6+10*x^5+8*x^3+5*x^2+11*x+12", "y^2=2*x^8+2*x^7+11*x^6+10*x^5+12*x^4+6*x^3+7*x+5", "y^2=x^8+3*x^7+8*x^6+3*x^5+10*x^4+5*x^3+8*x^2+11*x+1", "y^2=2*x^8+10*x^7+x^6+5*x^5+11*x^4+3*x^3+6*x^2+10*x+4", "y^2=x^8+11*x^7+x^6+6*x^5+3*x^4+6*x^3+7*x+12", "y^2=x^8+x^7+9*x^6+9*x^5+2*x^4+2*x^3+4*x^2+7*x+10", "y^2=x^7+3*x^6+10*x^5+11*x^4+10*x^3+8*x^2+11*x+7", "y^2=x^8+6*x^7+4*x^6+x^5+x^4+5*x^3+9*x^2+3*x", "y^2=x^8+9*x^7+4*x^6+3*x^5+3*x^4+10*x^3+10*x^2+5*x+12", "y^2=2*x^8+10*x^7+3*x^6+2*x^5+11*x^4+3*x^3+11*x^2+10*x+6", "y^2=x^8+7*x^7+x^6+6*x^5+11*x^4+6*x^3+4*x^2+10*x+2", "y^2=x^8+x^7+7*x^6+3*x^5+5*x^4+3*x^3+7*x^2+10*x+8", "y^2=x^7+3*x^6+9*x^5+6*x^4+12*x^3+9*x^2+9*x+6", "y^2=2*x^8+8*x^7+4*x^6+4*x^5+3*x^4+11*x^3+3*x^2+9*x+1", "y^2=x^8+11*x^7+6*x^6+3*x^5+5*x^4+9*x^3+11*x^2+5*x+1", "y^2=2*x^8+2*x^7+x^6+11*x^5+7*x^3+10*x^2+x+6", "y^2=2*x^8+4*x^7+3*x^6+10*x^5+7*x^4+8*x^3+8*x^2+9*x+7", "y^2=2*x^8+5*x^7+x^6+3*x^5+x^4+8*x^3+4*x^2+10", "y^2=2*x^8+12*x^7+6*x^6+4*x^5+5*x^4+7*x^3+3*x^2+x+5", "y^2=2*x^8+9*x^7+2*x^6+5*x^5+3*x^4+11*x^3+2*x^2+12*x+2", "y^2=2*x^8+8*x^7+2*x^6+5*x^5+9*x^4+7*x^3+4*x^2+6*x+2", "y^2=x^8+4*x^6+7*x^5+4*x^4+9*x^3+9*x^2+4*x+7", "y^2=2*x^8+5*x^7+12*x^6+10*x^5+8*x^4+8*x^2+8*x+12", "y^2=2*x^8+2*x^7+x^6+11*x^5+x^4+9*x^3+7*x^2+9*x+8", "y^2=2*x^8+9*x^7+11*x^6+2*x^5+8*x^4+x^3+7*x^2+11*x", "y^2=2*x^8+11*x^7+2*x^6+12*x^5+3*x^4+7*x^3+8*x^2+9*x+11", "y^2=2*x^8+10*x^7+3*x^6+10*x^5+11*x^4+10*x^3+6*x^2+8*x+11", "y^2=2*x^8+2*x^7+4*x^6+x^5+9*x^4+12*x^3+11*x^2+12*x+4", "y^2=2*x^8+8*x^7+6*x^6+5*x^5+3*x^4+8*x^3+12*x^2+8*x+12", "y^2=2*x^8+x^7+11*x^6+5*x^5+x^4+10*x^3+9*x^2+5*x+11", "y^2=x^8+7*x^7+4*x^6+4*x^5+4*x^4+6*x^3+9*x^2+6", "y^2=2*x^8+12*x^7+4*x^6+2*x^5+10*x^4+3*x^3+4*x^2+11*x+10", "y^2=x^8+11*x^7+4*x^6+10*x^4+2*x^3+11*x^2+7*x", "y^2=2*x^8+5*x^7+2*x^6+8*x^5+12*x^4+10*x^3+6*x^2+5*x", "y^2=x^8+3*x^7+5*x^6+8*x^5+11*x^4+4*x^3+11*x^2+4*x+5", "y^2=2*x^8+10*x^5+10*x^3+6*x^2+12*x+2", "y^2=2*x^8+3*x^7+x^6+3*x^5+3*x^4+5*x^3+12*x^2+2*x+2", "y^2=2*x^8+12*x^7+4*x^6+11*x^4+6*x^3+12*x^2+8*x+7", "y^2=2*x^8+10*x^7+5*x^6+10*x^5+11*x^3+8*x^2+6*x+10", "y^2=x^8+7*x^7+5*x^6+4*x^5+2*x^4+9*x^3+6*x^2+8*x+8", "y^2=x^8+x^7+3*x^6+2*x^5+11*x^4+8*x^3+11*x^2+12*x+1", "y^2=2*x^8+x^7+12*x^6+3*x^5+4*x^4+5*x^3+2*x^2+8*x+12", "y^2=2*x^7+10*x^6+11*x^5+4*x^4+10*x^3+12*x^2+9*x+12", "y^2=2*x^8+4*x^6+10*x^5+11*x^4+3*x^3+2*x^2+3*x+4", "y^2=2*x^8+2*x^7+x^6+12*x^5+7*x^4+3*x^3+3*x^2+11*x+5", "y^2=x^8+10*x^7+9*x^6+6*x^5+12*x^4+4*x^3+12*x^2+7*x+6", "y^2=2*x^8+6*x^7+11*x^6+5*x^5+9*x^4+6*x^3+2*x^2+2*x", "y^2=2*x^8+2*x^7+2*x^6+10*x^5+2*x^4+7*x^3+7*x^2+5*x+2", "y^2=x^7+11*x^6+6*x^5+4*x^4+x^3+5*x^2+11*x+4", "y^2=x^8+7*x^7+4*x^5+5*x^2+3*x+4", "y^2=2*x^8+7*x^7+5*x^6+3*x^5+6*x^4+4*x^2+10*x+3", "y^2=2*x^8+3*x^7+8*x^6+x^3+7*x^2+2*x+8", "y^2=x^8+4*x^7+7*x^6+7*x^5+2*x^4+4*x^3+12*x^2+x+9", "y^2=2*x^8+7*x^6+2*x^5+8*x^4+2*x^3+2*x^2+2*x+2", "y^2=2*x^7+5*x^6+3*x^5+12*x^4+8*x^3+12*x^2+4", "y^2=2*x^7+3*x^6+10*x^5+6*x^4+6*x^3+3*x^2+3*x+12", "y^2=2*x^8+3*x^6+5*x^5+11*x^4+6*x^2+12*x", "y^2=x^8+2*x^7+11*x^6+2*x^5+5*x^4+2*x^2+11*x+7", "y^2=x^8+12*x^7+5*x^6+11*x^5+2*x^4+12*x^3+4*x^2+4*x+12", "y^2=2*x^8+5*x^7+9*x^6+12*x^5+6*x^4+12*x^3+4*x^2+12*x+7", "y^2=2*x^8+3*x^7+4*x^6+4*x^5+8*x^4+2*x^3+10*x^2+12*x+12", "y^2=x^8+9*x^7+10*x^6+8*x^5+2*x^4+9*x^3+3*x^2+11*x+7", "y^2=x^8+9*x^7+12*x^6+8*x^5+11*x^4+10*x^2+7*x+9", "y^2=2*x^8+4*x^7+12*x^6+7*x^5+x^3+10*x^2+8", "y^2=2*x^8+3*x^6+10*x^5+3*x^4+5*x^3+9*x^2+9*x+7", "y^2=2*x^8+10*x^7+6*x^6+2*x^5+12*x^4+7*x^2+12*x", "y^2=x^8+4*x^7+12*x^6+2*x^4+4*x^3+12*x^2+3*x+9", "y^2=x^8+7*x^7+3*x^5+10*x^4+12*x^3+12*x", "y^2=x^8+3*x^7+11*x^6+3*x^5+11*x^4+11*x^3+4*x^2+12*x+4", "y^2=2*x^8+12*x^7+6*x^6+11*x^4+4*x^3+7*x^2+3", "y^2=2*x^8+3*x^7+9*x^6+2*x^5+9*x^4+8*x^3+12*x^2+4*x+7", "y^2=2*x^8+10*x^7+8*x^5+12*x^4+10*x^3+2*x^2+9*x+8", "y^2=2*x^8+9*x^7+2*x^6+10*x^5+7*x^4+12*x^3+8*x^2+7*x+5", "y^2=2*x^8+3*x^7+12*x^6+3*x^5+5*x^4+12*x^3+11*x^2+10*x+11", "y^2=2*x^8+9*x^7+3*x^6+11*x^5+2*x^4+7*x^3+2*x^2+x+2", "y^2=2*x^8+5*x^7+2*x^6+11*x^5+5*x^4+11*x^3+4*x^2+7*x+10", "y^2=2*x^8+6*x^7+2*x^6+4*x^5+6*x^4+12*x^3+x+12", "y^2=x^8+10*x^7+10*x^6+7*x^5+11*x^3+x^2+10*x+2", "y^2=2*x^7+6*x^6+5*x^5+10*x^3+2*x^2+9*x+11", "y^2=x^8+10*x^6+x^5+9*x^4+2*x^3+12*x^2+3*x+2", "y^2=2*x^8+4*x^7+8*x^6+2*x^4+7*x^2+5*x+3", "y^2=2*x^8+4*x^7+6*x^6+9*x^5+10*x^4+10*x^2+11*x+6", "y^2=2*x^8+10*x^7+5*x^6+9*x^5+2*x^4+12*x^3+x^2+x+8", "y^2=2*x^8+3*x^7+12*x^5+3*x^4+6*x^3+4*x^2+3*x+5", "y^2=x^8+9*x^7+4*x^6+12*x^5+6*x^4+12*x^3+10*x^2+12*x+2", "y^2=2*x^8+4*x^7+3*x^6+11*x^5+12*x^4+9*x^3+7*x^2+2*x+11", "y^2=2*x^8+6*x^6+11*x^5+2*x^4+8*x^3+12*x^2+8*x+10", "y^2=2*x^8+11*x^7+5*x^6+2*x^5+3*x^4+2*x^3+10*x^2+2*x+12", "y^2=2*x^8+6*x^7+3*x^6+4*x^5+x^4+3*x^3+6*x^2+3*x+2", "y^2=x^8+12*x^7+6*x^6+6*x^5+11*x^4+4*x^3+2*x^2+10*x+1", "y^2=2*x^8+6*x^7+5*x^6+5*x^5+12*x^4+x^3+8*x^2+10*x+1", "y^2=2*x^8+5*x^7+12*x^6+3*x^5+9*x^4+12*x^3+11*x^2+10*x+3", "y^2=2*x^8+11*x^7+5*x^6+5*x^5+7*x^4+12*x^3+x^2+x+5", "y^2=2*x^8+x^6+7*x^5+x^4+7*x^3+4*x^2+3*x+2", "y^2=2*x^8+4*x^7+7*x^5+7*x^4+11*x^3+6*x^2+9*x+4", "y^2=x^8+4*x^7+10*x^6+7*x^5+7*x^4+9*x^2+10*x+2", "y^2=x^8+2*x^7+5*x^6+x^5+4*x^4+x^3+6*x^2+6*x+11", "y^2=2*x^8+5*x^7+8*x^6+3*x^5+2*x^4+12*x^3+3*x^2+5*x+7", "y^2=2*x^8+3*x^7+12*x^6+6*x^5+8*x^4+7*x^3+5*x^2+x+2", "y^2=2*x^8+9*x^7+11*x^6+5*x^5+9*x^4+8*x^3+7*x^2+3*x+3", "y^2=2*x^8+6*x^7+12*x^6+5*x^5+5*x^4+2*x^3+5*x^2+3*x+8", "y^2=x^8+x^7+7*x^6+12*x^5+9*x^4+4*x^2+7*x+6", "y^2=2*x^8+5*x^7+2*x^6+10*x^5+4*x^4+11*x^3+6*x^2+2*x+7", "y^2=2*x^8+10*x^7+4*x^6+4*x^5+x^4+3*x^3+8*x^2+x+11", "y^2=x^8+6*x^6+x^5+12*x^3+10*x^2+5*x+3", "y^2=2*x^8+5*x^7+9*x^6+12*x^5+12*x^4+11*x^3+12*x^2+8*x+6", "y^2=x^8+4*x^7+9*x^6+6*x^5+2*x^4+6*x^3+6*x^2+3*x+6", "y^2=2*x^8+12*x^7+2*x^6+12*x^5+2*x^4+10*x^3+4*x^2+10*x+10", "y^2=2*x^8+5*x^7+3*x^6+8*x^4+11*x^3+x^2+11*x+2", "y^2=2*x^8+4*x^7+4*x^6+12*x^5+4*x^4+x^3+10*x^2+2*x+5", "y^2=2*x^8+10*x^7+9*x^6+x^5+12*x^4+x^3+5*x^2+10*x+8", "y^2=2*x^8+9*x^7+7*x^6+12*x^5+8*x^4+x^3+x^2+x+8", "y^2=x^8+2*x^7+5*x^6+4*x^4+9*x^3+5*x^2+4*x+3", "y^2=x^8+2*x^6+8*x^5+7*x^4+2*x^3+6*x^2+7*x+5", "y^2=2*x^8+3*x^7+4*x^6+11*x^5+4*x^4+5*x^3+3*x^2+x+10", "y^2=x^8+6*x^7+6*x^5+7*x^4+9*x^3+2*x^2+10*x+2", "y^2=2*x^8+6*x^7+4*x^6+5*x^5+12*x^4+5*x^3+3*x^2+3*x+4", "y^2=2*x^8+9*x^7+9*x^6+11*x^5+6*x^4+9*x^3+6*x^2+x+6", "y^2=2*x^7+x^6+12*x^5+2*x^4+x^3+4*x^2+7*x+11", "y^2=2*x^8+8*x^7+4*x^6+2*x^5+11*x^4+2*x^3+4*x^2+11*x+6", "y^2=2*x^8+7*x^7+9*x^6+7*x^5+4*x^4+x^3+12*x^2+2*x+10", "y^2=2*x^8+11*x^7+4*x^6+9*x^5+5*x^4+7*x^3+12*x^2+4", "y^2=2*x^8+12*x^7+2*x^6+6*x^4+6*x^3+7*x^2+7*x+10", "y^2=x^8+9*x^7+4*x^6+7*x^5+3*x^4+10*x^3+9*x^2+3*x", "y^2=2*x^8+8*x^7+10*x^6+7*x^5+10*x^4+9*x^3+x^2+4*x+3", "y^2=2*x^8+6*x^7+12*x^6+9*x^5+8*x^4+3*x^3+10*x^2+10*x+2", "y^2=2*x^8+12*x^7+11*x^6+9*x^5+x^4+12*x^3+6*x^2+5*x+11", "y^2=x^7+4*x^6+4*x^5+3*x^4+x^3+4*x^2+8*x+6", "y^2=2*x^8+12*x^7+4*x^6+10*x^5+6*x^4+x^3+4*x^2+4*x+4", "y^2=2*x^8+4*x^7+5*x^6+11*x^5+10*x^4+9*x^2+12*x", "y^2=x^8+9*x^7+11*x^6+9*x^5+10*x^4+11*x^3+10*x^2+8*x+5", "y^2=x^7+9*x^6+6*x^5+12*x^4+9*x+8", "y^2=2*x^8+10*x^7+8*x^6+4*x^5+4*x^4+9*x^3+7*x^2+11*x+5", "y^2=x^7+5*x^6+2*x^5+x^4+9*x^3+10*x^2+3*x+4", "y^2=x^8+2*x^7+2*x^6+2*x^5+12*x^4+7*x^3+3*x^2+7*x+3", "y^2=x^8+10*x^7+8*x^6+x^5+2*x^4+12*x^3+4*x^2+4*x+4", "y^2=x^8+9*x^7+2*x^6+10*x^5+6*x^4+11*x^3+10*x^2+11*x+2", "y^2=2*x^8+8*x^7+9*x^4+2*x^3+12*x^2+4*x+4", "y^2=2*x^8+10*x^7+2*x^5+9*x^4+7*x^3+11*x^2+4*x+6", "y^2=x^7+9*x^4+12*x^3+2*x^2+11*x+1", "y^2=2*x^7+10*x^6+6*x^5+9*x^4+7*x^3+4*x^2+4*x+11", "y^2=2*x^8+8*x^7+8*x^6+9*x^5+11*x^4+x^3+6*x^2+11*x", "y^2=2*x^8+4*x^7+9*x^6+2*x^5+10*x^4+x^3+7*x^2+9*x", "y^2=2*x^8+10*x^6+4*x^5+9*x^4+6*x^3+9*x^2+4*x", "y^2=x^7+5*x^5+2*x^4+11*x^3+3*x^2+11*x+2", "y^2=x^7+12*x^6+2*x^5+4*x^2+12*x+6", "y^2=x^8+x^7+11*x^6+x^5+7*x^4+2*x^3+10*x+1", "y^2=x^8+x^7+x^5+9*x^4+5*x^3+3*x^2+8*x+4", "y^2=x^8+10*x^7+3*x^6+4*x^5+11*x^4+2*x^3+10*x^2+8*x+9", "y^2=2*x^8+2*x^7+12*x^6+5*x^5+3*x^4+12*x^3+5*x^2+8*x+3", "y^2=2*x^8+3*x^7+x^6+5*x^4+4*x^3+5*x^2+9*x", "y^2=x^8+x^7+6*x^6+7*x^5+5*x^3+3*x^2+8*x+6", "y^2=2*x^8+6*x^7+7*x^6+12*x^5+4*x^4+8*x^3+5*x^2+7*x+9", "y^2=2*x^8+9*x^7+x^6+5*x^5+12*x^4+8*x^3+2*x", "y^2=x^8+2*x^7+11*x^6+12*x^5+10*x^4+8*x^2+2*x+5", "y^2=x^8+12*x^7+12*x^6+3*x^5+10*x^4+3*x^3+8*x^2+11*x+12", "y^2=2*x^8+11*x^7+11*x^6+10*x^5+7*x^4+10*x^3+x^2+6*x+2", "y^2=2*x^8+7*x^7+3*x^6+9*x^5+12*x^4+9*x^3+7*x^2+10*x+12", "y^2=2*x^8+4*x^7+7*x^6+x^5+11*x^4+6*x^3+8*x^2+11*x+12", "y^2=2*x^8+10*x^7+2*x^6+10*x^5+8*x^4+4*x^2+2*x+7", "y^2=2*x^8+12*x^7+6*x^6+5*x^5+7*x^4+2*x^3+9*x^2+x+1", "y^2=x^8+5*x^7+7*x^6+2*x^5+4*x^4+10*x^3+9*x^2+x+11", "y^2=2*x^8+4*x^7+3*x^6+7*x^5+12*x^4+5*x^3+x^2+8*x+5", "y^2=2*x^8+2*x^7+11*x^6+6*x^5+6*x^4+7*x^3+6*x^2+2*x+9", "y^2=2*x^8+6*x^7+2*x^6+12*x^5+5*x^4+8*x^3+9*x^2+8*x+7", "y^2=2*x^8+12*x^6+4*x^5+2*x^4+9*x^3+9*x^2+2*x+9", "y^2=x^8+2*x^7+12*x^6+9*x^5+6*x^4+4*x^2+5*x+8", "y^2=x^8+2*x^7+6*x^6+10*x^5+4*x^4+4*x^3+8*x^2+4*x+2", "y^2=x^8+4*x^7+8*x^6+3*x^5+11*x^4+10*x^3+x^2+10*x+12", "y^2=x^8+5*x^7+6*x^6+2*x^5+6*x^4+12*x^3+12*x+7", "y^2=2*x^8+2*x^7+6*x^6+11*x^5+11*x^4+10*x^3+2*x+9", "y^2=x^8+6*x^7+11*x^6+5*x^4+4*x^3+9*x^2+x+9", "y^2=x^8+3*x^7+5*x^6+9*x^5+12*x^4+9*x^3+x+9", "y^2=2*x^8+7*x^6+7*x^5+4*x^4+3*x^3+x^2+4", "y^2=x^8+12*x^7+8*x^5+8*x^4+5*x^3+x^2+7*x+4", "y^2=x^8+5*x^7+11*x^5+3*x^4+x^3+9*x^2+12*x+6", "y^2=2*x^8+4*x^7+7*x^6+2*x^5+9*x^4+11*x^3+6*x^2+7", "y^2=x^8+11*x^7+12*x^6+10*x^5+x^4+8*x^3+9*x^2+9*x+12", "y^2=2*x^8+12*x^7+11*x^6+x^5+3*x^4+x^3+3*x^2+9", "y^2=x^8+4*x^7+6*x^6+2*x^5+6*x^4+7*x^3+11*x+4", "y^2=2*x^8+2*x^7+9*x^6+6*x^5+11*x^4+2*x^3+10*x+2", "y^2=x^8+6*x^7+7*x^6+11*x^5+6*x^3+11*x^2+9*x+11", "y^2=2*x^8+12*x^7+7*x^5+4*x^4+x^3+9*x^2+8*x+5", "y^2=x^8+10*x^7+11*x^6+8*x^5+7*x^4+11*x^3+3*x^2+9*x+11", "y^2=2*x^8+x^7+4*x^6+4*x^5+9*x^4+12*x^3+12*x^2+9*x+11", "y^2=x^8+2*x^7+x^6+7*x^5+10*x^3+6*x^2+8*x+10", "y^2=2*x^8+7*x^7+8*x^6+8*x^5+9*x^4+3*x^3+3*x^2+11*x+2", "y^2=x^8+6*x^7+12*x^6+3*x^5+9*x^4+5*x^3+7*x^2+3*x+2", "y^2=2*x^8+10*x^7+4*x^6+7*x^5+7*x^4+8*x^3+12*x^2+6*x+10", "y^2=2*x^8+2*x^7+10*x^6+12*x^4+10*x^3+7*x^2+2*x+11", "y^2=x^8+9*x^7+x^6+6*x^5+9*x^4+7*x^3+x^2+12*x+11", "y^2=2*x^8+10*x^7+5*x^6+5*x^5+2*x^4+8*x^3+10*x^2+11*x+3", "y^2=x^8+7*x^6+3*x^5+4*x^4+12*x^2+9*x+7", "y^2=x^8+11*x^6+x^5+2*x^4+9*x^3+7*x+6", "y^2=2*x^8+3*x^7+10*x^6+x^5+2*x^4+7*x^3+8*x^2+8*x+4", "y^2=2*x^8+9*x^7+x^6+5*x^5+11*x^4+9*x^3+6*x^2+4*x+12", "y^2=x^8+6*x^7+6*x^6+7*x^5+5*x^4+10*x^3+6*x^2+10*x+6", "y^2=2*x^8+10*x^7+12*x^6+6*x^5+7*x^4+7*x^3+11*x^2+3*x+5", "y^2=2*x^8+3*x^7+x^6+5*x^5+8*x^4+8*x^3+12*x^2+8*x+4", "y^2=x^8+12*x^7+3*x^6+7*x^5+11*x^4+9*x^3+11*x^2+5*x+1", "y^2=2*x^8+8*x^7+3*x^6+9*x^5+7*x^4+x^3+12*x^2+9*x+11", "y^2=2*x^8+7*x^7+x^6+x^5+3*x^4+6*x^3+9*x^2+11*x+7", "y^2=x^8+8*x^7+11*x^5+6*x^4+6*x^3+4*x+6", "y^2=x^8+x^7+11*x^6+4*x^5+x^4+2*x^3+11*x^2+5*x+9", "y^2=2*x^8+3*x^7+4*x^6+6*x^5+x^4+8*x^3+12*x^2+7*x+1", "y^2=x^8+11*x^7+4*x^6+3*x^5+4*x^4+x^3+2*x^2+12*x+8", "y^2=2*x^8+11*x^7+7*x^6+5*x^5+12*x^4+9*x^3+2*x^2+x+9", "y^2=2*x^8+2*x^7+10*x^6+2*x^5+4*x^4+8*x^3+7*x^2+x+1", "y^2=2*x^8+8*x^7+12*x^5+3*x^4+7*x^3+x^2+11*x+1", "y^2=2*x^8+9*x^7+6*x^6+2*x^5+5*x^4+11*x^3+6*x^2+12*x+4", "y^2=2*x^8+3*x^6+4*x^5+12*x^3+12*x^2+11*x+9", "y^2=2*x^8+3*x^7+3*x^6+6*x^5+4*x^4+7*x^3+x^2+8", "y^2=2*x^8+8*x^7+10*x^6+8*x^5+5*x^4+3*x^3+12*x+6", "y^2=2*x^8+x^7+6*x^6+x^5+10*x^4+2*x^2+4*x+10", "y^2=2*x^8+6*x^7+x^6+3*x^5+8*x^4+x^3+2*x^2+9", "y^2=x^8+3*x^6+11*x^5+2*x^4+6*x^3+8*x^2+2*x+1", "y^2=2*x^8+11*x^7+5*x^6+3*x^5+10*x^4+x^3+10*x^2+6*x+9", "y^2=2*x^8+x^7+2*x^6+4*x^4+4*x^3+6*x^2+4*x+4", "y^2=2*x^8+10*x^7+x^6+7*x^5+9*x^4+6*x^3+6*x^2+11*x+4", "y^2=x^8+9*x^7+12*x^6+8*x^5+x^4+3*x^3+11*x+5", "y^2=x^8+7*x^7+10*x^6+2*x^5+9*x^4+7*x^3+6*x+8", "y^2=x^8+11*x^7+x^6+10*x^5+6*x^4+8*x^3+3*x^2+6*x+5", "y^2=2*x^8+6*x^7+3*x^5+8*x^4+5*x^3+x+8", "y^2=x^8+3*x^7+3*x^6+7*x^4+9*x^3+8*x+7", "y^2=2*x^8+5*x^7+9*x^6+2*x^5+10*x^4+2*x^3+7*x^2+12*x+7", "y^2=x^8+5*x^7+10*x^5+12*x^4+11*x^3+6*x^2+10*x+5", "y^2=2*x^8+x^7+5*x^6+11*x^5+6*x^3+6*x^2+2*x+8", "y^2=x^8+9*x^7+12*x^6+2*x^5+2*x^4+x^3+x^2+2*x+8", "y^2=2*x^8+11*x^7+10*x^5+4*x^4+2*x^3+4*x^2+11*x+5", "y^2=2*x^8+5*x^7+12*x^6+10*x^5+12*x^4+7*x^3+4*x^2+x+8", "y^2=x^8+11*x^7+12*x^6+11*x^5+5*x^4+x^3+9*x^2+3*x+4", "y^2=x^8+x^6+5*x^5+5*x^4+7*x^3+8*x^2+11*x+12", "y^2=x^8+6*x^7+11*x^6+x^5+6*x^4+4*x^2+7*x+7", "y^2=x^8+5*x^7+10*x^6+3*x^5+10*x^4+2*x^3+6*x^2+7*x+6", "y^2=x^8+10*x^7+8*x^6+3*x^5+7*x^4+9*x^3+11*x^2+7*x+7", "y^2=2*x^8+9*x^7+12*x^6+6*x^5+2*x^4+9*x^3+6*x^2+6*x+2", "y^2=2*x^8+2*x^6+3*x^5+2*x^3+2*x^2+8", "y^2=x^8+5*x^7+12*x^6+11*x^5+6*x^4+11*x^3+x^2+5*x+11", "y^2=x^8+6*x^7+12*x^5+12*x^4+4*x^3+5*x+3", "y^2=x^8+x^7+6*x^6+5*x^5+2*x^4+2*x^3+9*x^2+12*x+12", "y^2=2*x^8+10*x^7+9*x^6+6*x^5+7*x^4+x^3+4*x^2+7", "y^2=2*x^8+x^7+x^6+9*x^5+7*x^4+x^3+8*x^2+3*x+3", "y^2=2*x^8+6*x^7+2*x^6+x^5+2*x^4+3*x^3+9*x^2+6*x+12", "y^2=2*x^8+7*x^7+9*x^5+6*x^4+8*x^3+2*x^2+5*x+10", "y^2=2*x^8+2*x^7+7*x^6+10*x^5+9*x^4+2*x^3+9*x^2+2*x+7", "y^2=2*x^8+5*x^7+8*x^6+10*x^5+x^4+5*x^3+7*x^2+12*x+10", "y^2=2*x^8+10*x^7+x^5+3*x^4+12*x^3+12*x^2+9*x+6", "y^2=2*x^8+4*x^7+8*x^6+11*x^4+4*x^3+6*x^2+7*x+5", "y^2=x^8+11*x^7+4*x^6+4*x^5+9*x^4+2*x^3+x^2+12*x+2", "y^2=2*x^8+10*x^7+4*x^6+9*x^5+3*x^4+x^3+9*x^2+11*x+8", "y^2=x^8+3*x^7+5*x^6+7*x^5+7*x^3+x^2+11", "y^2=x^8+x^7+10*x^6+3*x^5+2*x^4+3*x^3+9*x^2+5*x+11", "y^2=2*x^8+8*x^6+5*x^5+9*x^4+12*x+5", "y^2=x^8+10*x^6+10*x^5+2*x^4+4*x^3+7*x^2+6*x+1", "y^2=2*x^8+5*x^7+4*x^6+2*x^5+2*x^4+4*x^3+10*x^2+2*x+1", "y^2=x^8+12*x^7+3*x^6+x^5+8*x^3+x^2+5*x+10", "y^2=x^8+5*x^7+11*x^6+x^5+2*x^4+11*x^3+2*x^2+2*x+5", "y^2=x^8+2*x^7+x^6+5*x^5+4*x^4+8*x^3+2*x^2+3*x+7", "y^2=x^8+6*x^7+5*x^6+10*x^5+12*x^4+2*x^3+11*x^2+5*x+5", "y^2=x^8+3*x^7+3*x^6+3*x^5+4*x^4+9*x^3+9*x^2+7*x+7", "y^2=x^8+2*x^7+10*x^6+2*x^5+10*x^4+5*x^3+5*x^2+10*x+8", "y^2=2*x^8+7*x^7+3*x^6+6*x^5+6*x^4+9*x^3+11*x^2+2*x+10", "y^2=2*x^8+3*x^7+7*x^6+7*x^5+10*x^4+10*x^3+x^2+3*x+10", "y^2=x^8+x^7+4*x^6+10*x^4+6*x^3+x^2+5*x+6", "y^2=2*x^8+3*x^7+5*x^5+8*x^4+8*x^3+8*x^2+12*x+5", "y^2=2*x^8+9*x^6+x^5+9*x^4+6*x^3+4*x^2+2*x+1"], "dim1_distinct": 0, "dim1_factors": 0, "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": 3, "galois_groups": ["6T11"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "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": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["6T11"], "geometric_number_fields": ["6.0.845479287.1"], "geometric_splitting_field": "6.0.845479287.1", "geometric_splitting_polynomials": [[191, -211, 97, -12, -1, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 298, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.13.ac_o_abm", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [2, 3], "number_fields": ["6.0.845479287.1"], "p": 13, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -2, 14, -38, 182, -338, 2197], "poly_str": "1 -2 14 -38 182 -338 2197 ", "primitive_models": [], "q": 13, "real_poly": [1, -2, -25, 14], "simple_distinct": ["3.13.ac_o_abm"], "simple_factors": ["3.13.ac_o_abmA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.845479287.1", "splitting_polynomials": [[191, -211, 97, -12, -1, -1, 1]], "twist_count": 2, "twists": [["3.13.c_o_bm", "3.169.y_ps_jxm", 2]]}