# Stored data for abelian variety isogeny class 3.23.ag_bt_agy, downloaded from the LMFDB on 28 October 2025.
{"abvar_count": 9888, "abvar_counts": [9888, 164219904, 1809070579296, 21989533864034304, 266774139992615503008, 3243821817923727297186816, 39472965912856002621453029472, 480253963131019011840770511470592, 5843191459812501074764505607716045472, 71094308183438016923559621564840235551744], "abvar_counts_str": "9888 164219904 1809070579296 21989533864034304 266774139992615503008 3243821817923727297186816 39472965912856002621453029472 480253963131019011840770511470592 5843191459812501074764505607716045472 71094308183438016923559621564840235551744 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.21460102554409, 0.401888698351138, 0.651806082757118], "center_dim": 6, "curve_count": 18, "curve_counts": [18, 584, 12222, 280796, 6439698, 148020872, 3404944638, 78311506940, 1801146624210, 41426487551624], "curve_counts_str": "18 584 12222 280796 6439698 148020872 3404944638 78311506940 1801146624210 41426487551624 ", "curves": ["y^2=22*x^7+22*x^6+16*x^5+17*x^4+4*x^3+22*x^2+12*x", "y^2=x^7+20*x^6+22*x^5+15*x^4+20*x^3+18*x^2+19*x", "y^2=x^7+15*x^6+22*x^5+22*x^4+10*x^3+16*x^2+6*x", "y^2=x^7+5*x^6+14*x^5+21*x^4+7*x^3+2*x^2+19*x", "y^2=x^7+19*x^6+22*x^5+21*x^4+18*x^3+13*x^2+21*x", "y^2=22*x^7+17*x^6+x^5+16*x^4+8*x^3+6*x^2+22*x", "y^2=x^7+18*x^6+5*x^5+18*x^4+4*x^3+17*x^2+6*x", "y^2=x^7+8*x^6+4*x^5+5*x^4+10*x^3+x^2+17*x", "y^2=x^7+12*x^6+4*x^5+6*x^4+14*x^3+19*x^2+13*x", "y^2=x^7+7*x^6+17*x^5+15*x^4+16*x^3+20*x^2+16*x", "y^2=22*x^7+16*x^6+10*x^5+21*x^4+22*x^3+16*x^2+10*x+21", "y^2=22*x^7+7*x^5+19*x^4+16*x^3+4*x^2+6*x+19", "y^2=22*x^7+20*x^6+3*x^5+19*x^4+20*x^3+4*x^2+2*x+16", "y^2=x^7+4*x^6+4*x^5+17*x^4+x^3+4*x^2+4*x+17", "y^2=22*x^7+13*x^6+12*x^5+6*x^4+11*x^3+17*x^2+11*x+19", "y^2=22*x^7+15*x^6+22*x^5+x^4+x^3+22*x^2+21*x+16", "y^2=x^7+10*x^6+3*x^5+9*x^4+20*x^3+14*x^2+4*x+19", "y^2=22*x^7+15*x^6+x^5+x^4+x^3+x^2+2*x+9", "y^2=x^7+9*x^6+16*x^5+16*x^3+15*x+14", "y^2=22*x^7+15*x^6+21*x^5+10*x^4+22*x^3+15*x^2+21*x+10", "y^2=x^7+10*x^6+9*x^5+20*x^4+4*x^3+x^2+16*x+21", "y^2=22*x^7+15*x^6+9*x^5+5*x^4+22*x^3+15*x^2+9*x+5", "y^2=x^7+7*x^6+14*x^5+19*x^4+15*x^3+14*x^2+21*x+22", "y^2=x^7+4*x^6+7*x^5+19*x^4+x^3+10*x^2+14", "y^2=22*x^8+17*x^7+8*x^6+18*x^5+22*x^4+x^3+21*x^2+22*x+7", "y^2=22*x^8+21*x^7+11*x^6+22*x^5+8*x^4+x^3+14*x^2+20*x+19", "y^2=22*x^8+17*x^7+19*x^6+13*x^5+8*x^4+13*x^3+5*x^2+17*x+1", "y^2=x^8+4*x^7+2*x^6+4*x^5+5*x^4+19*x^3+19*x^2+8*x+7", "y^2=22*x^8+14*x^7+12*x^6+6*x^5+13*x^4+17*x^3+9*x^2+20*x+2", "y^2=22*x^8+20*x^7+4*x^6+18*x^5+17*x^4+5*x^3+5*x^2+15*x+21", "y^2=22*x^8+18*x^7+17*x^6+20*x^5+16*x^4+18*x^3+17*x^2+20*x+17", "y^2=22*x^8+17*x^7+17*x^6+5*x^5+8*x^4+18*x^3+14*x^2+22*x+2", "y^2=22*x^8+18*x^7+19*x^6+14*x^5+12*x^4+16*x^3+16*x^2+3*x+15", "y^2=22*x^8+20*x^6+17*x^5+16*x^4+4*x^3+19*x^2+17*x+12", "y^2=22*x^8+21*x^7+9*x^6+21*x^5+18*x^4+18*x^3+x^2+7*x+10", "y^2=x^8+3*x^7+11*x^6+17*x^5+12*x^4+13*x^3+2*x^2+15*x+22", "y^2=22*x^8+16*x^7+13*x^6+20*x^5+7*x^4+20*x^3+8*x^2+4*x+17", "y^2=x^8+7*x^7+5*x^6+14*x^5+x^4+15*x^3+4*x^2+11*x+14", "y^2=22*x^8+16*x^7+7*x^6+17*x^5+3*x^4+10*x^3+18*x^2+14*x+4", "y^2=x^8+x^7+14*x^5+9*x^4+4*x^3+x^2+7*x+11", "y^2=22*x^8+20*x^7+3*x^6+9*x^5+5*x^4+20*x^3+3*x^2+9*x+6", "y^2=x^8+x^7+x^6+22*x^5+20*x^4+22*x^3+19*x^2+21*x+19", "y^2=x^8+5*x^7+x^6+22*x^5+14*x^4+x^3+10*x^2+4*x+15", "y^2=22*x^8+20*x^7+20*x^6+20*x^5+16*x^4+8*x^3+19*x^2+18*x+12", "y^2=x^8+5*x^7+3*x^6+10*x^5+16*x^4+12*x^3+13*x^2+22*x+16", "y^2=22*x^8+15*x^7+20*x^6+22*x^5+8*x^4+22*x^3+9*x^2+7*x+11", "y^2=22*x^8+21*x^7+22*x^6+14*x^5+15*x^4+10*x^3+8*x^2+5*x+20", "y^2=22*x^8+2*x^7+8*x^6+17*x^5+3*x^4+21*x^2+3*x+14", "y^2=x^8+15*x^7+14*x^6+15*x^5+x^4+6*x^3+9*x^2+2*x+20", "y^2=x^8+6*x^7+19*x^6+11*x^5+12*x^4+19*x^3+7*x^2+15*x+19", "y^2=22*x^8+18*x^7+15*x^6+20*x^5+13*x^4+12*x^3+8*x^2+9*x+21", "y^2=x^8+9*x^7+15*x^6+13*x^5+8*x^4+4*x^3+10*x^2+19*x+20", "y^2=22*x^8+18*x^7+14*x^6+9*x^5+4*x^3+11*x^2+21*x+15", "y^2=22*x^8+18*x^7+2*x^6+18*x^5+21*x^4+21*x^3+21*x^2+7*x+5", "y^2=22*x^8+2*x^7+11*x^6+17*x^5+x^4+x^2+3*x+14", "y^2=22*x^8+3*x^7+9*x^6+17*x^5+5*x^4+21*x^3+10*x^2+19*x+9", "y^2=22*x^8+15*x^7+17*x^6+7*x^5+17*x^4+16*x^3+5*x^2+22*x+11", "y^2=x^8+13*x^7+18*x^6+12*x^5+21*x^4+11*x^3+3*x^2+2*x+16", "y^2=22*x^8+20*x^7+8*x^6+13*x^5+7*x^4+10*x^3+15*x^2+10*x+15", "y^2=x^8+17*x^7+3*x^6+10*x^5+5*x^4+13*x^3+19*x^2+4*x+8", "y^2=22*x^8+2*x^7+12*x^6+16*x^5+15*x^4+7*x^3+7*x^2+18*x+4", "y^2=22*x^8+8*x^7+14*x^6+3*x^5+20*x^3+22*x^2+11*x+14", "y^2=x^8+10*x^6+4*x^5+x^4+19*x^3+4*x+11", "y^2=22*x^8+12*x^7+17*x^6+17*x^5+9*x^4+6*x^3+13*x^2+6*x+3", "y^2=22*x^7+8*x^6+15*x^5+8*x^3+14*x+8", "y^2=22*x^8+21*x^7+3*x^6+5*x^5+15*x^4+21*x^3+3*x^2+5*x+16", "y^2=x^8+3*x^7+13*x^6+16*x^5+x^4+3*x^3+13*x^2+16*x", "y^2=22*x^8+21*x^7+8*x^6+9*x^5+9*x^4+21*x^3+8*x^2+9*x+10", "y^2=22*x^8+8*x^7+22*x^6+x^5+6*x^4+8*x^3+22*x^2+x+7", "y^2=22*x^8+5*x^7+x^6+12*x^5+12*x^4+5*x^3+x^2+12*x+13", "y^2=22*x^8+10*x^7+10*x^6+6*x^5+20*x^4+10*x^3+10*x^2+6*x+21", "y^2=x^8+14*x^7+3*x^6+9*x^5+17*x^4+14*x^3+3*x^2+9*x+16", "y^2=22*x^8+4*x^7+3*x^6+19*x^5+10*x^4+4*x^3+3*x^2+19*x+11", "y^2=x^7+13*x^6+4*x^5+19*x^4+x^3+13*x^2+4*x+19", "y^2=22*x^7+12*x^6+21*x^5+11*x^4+22*x^3+12*x^2+21*x+11", "y^2=22*x^8+2*x^7+15*x^6+21*x^5+13*x^4+2*x^3+15*x^2+21*x+14", "y^2=x^8+15*x^7+8*x^6+17*x^5+11*x^4+15*x^3+8*x^2+17*x+10", "y^2=22*x^7+19*x^6+10*x^5+5*x^4+22*x^3+19*x^2+10*x+5", "y^2=x^8+16*x^7+15*x^6+2*x^5+x^4+16*x^3+15*x^2+2*x", "y^2=22*x^8+4*x^7+18*x^6+21*x^4+4*x^3+18*x^2+22", "y^2=22*x^8+8*x^7+8*x^6+17*x^5+12*x^4+8*x^3+8*x^2+17*x+13", "y^2=x^8+11*x^7+15*x^6+x^5+14*x^4+11*x^3+15*x^2+x+13", "y^2=22*x^8+13*x^7+10*x^6+20*x^5+8*x^4+13*x^3+10*x^2+20*x+9", "y^2=22*x^8+x^7+9*x^6+21*x^5+20*x^4+x^3+9*x^2+21*x+21", "y^2=x^8+17*x^7+20*x^6+18*x^5+14*x^4+17*x^3+20*x^2+18*x+13", "y^2=x^8+19*x^7+10*x^6+2*x^5+11*x^4+19*x^3+10*x^2+2*x+10", "y^2=22*x^8+16*x^7+18*x^6+12*x^4+16*x^3+18*x^2+13", "y^2=22*x^8+19*x^7+x^6+9*x^5+9*x^4+19*x^3+x^2+9*x+10", "y^2=22*x^8+13*x^7+21*x^6+3*x^5+9*x^4+13*x^3+21*x^2+3*x+10", "y^2=x^8+9*x^7+15*x^6+11*x^5+12*x^4+9*x^3+15*x^2+11*x+11", "y^2=x^8+x^7+3*x^6+4*x^5+11*x^4+x^3+3*x^2+4*x+10", "y^2=22*x^7+3*x^6+20*x^5+10*x^4+22*x^3+3*x^2+20*x+10", "y^2=22*x^8+3*x^7+15*x^6+7*x^5+x^4+3*x^3+15*x^2+7*x+2", "y^2=22*x^8+15*x^7+13*x^6+x^5+17*x^4+15*x^3+13*x^2+x+18", "y^2=22*x^8+6*x^7+22*x^6+2*x^5+22*x^4+6*x^3+22*x^2+2*x", "y^2=22*x^7+13*x^6+4*x^5+20*x^4+22*x^3+13*x^2+4*x+20", "y^2=x^8+11*x^7+12*x^6+16*x^5+3*x^4+11*x^3+12*x^2+16*x+2", "y^2=22*x^8+5*x^7+22*x^6+5*x^5+13*x^4+5*x^3+22*x^2+5*x+14", "y^2=22*x^8+17*x^7+12*x^6+11*x^5+16*x^4+17*x^3+12*x^2+11*x+17", "y^2=22*x^8+3*x^7+7*x^6+15*x^5+11*x^4+3*x^3+7*x^2+15*x+12", "y^2=22*x^8+17*x^7+x^6+11*x^5+8*x^4+17*x^3+x^2+11*x+9", "y^2=x^8+13*x^7+16*x^6+12*x^5+6*x^4+13*x^3+16*x^2+12*x+5", "y^2=x^7+14*x^6+9*x^5+20*x^4+x^3+14*x^2+9*x+20", "y^2=22*x^8+22*x^7+12*x^6+6*x^5+16*x^4+6*x^3+9*x^2+22*x+6", "y^2=22*x^8+15*x^7+4*x^6+21*x^5+12*x^4+7*x^3+7*x^2+11*x+15", "y^2=x^8+16*x^6+19*x^5+17*x^4+5*x^3+3*x^2+19*x+16", "y^2=x^8+11*x^7+15*x^6+18*x^5+14*x^4+18*x^3+13*x^2+7*x+22", "y^2=x^7+9*x^6+x^5+14*x^4+x^3+14*x^2+5", "y^2=22*x^7+19*x^6+x^5+11*x^4+x^3+11*x^2+2*x+15", "y^2=22*x^7+14*x^6+22*x^5+20*x^4+22*x^3+20*x^2+6", "y^2=22*x^8+14*x^7+19*x^6+10*x^5+14*x^4+10*x^3+15*x^2+19*x+18", "y^2=x^8+19*x^7+2*x^6+11*x^5+7*x^4+11*x^3+6*x^2+15*x+5", "y^2=22*x^8+11*x^7+11*x^6+10*x^5+2*x^4+10*x^3+3*x^2+22*x+14", "y^2=x^8+9*x^7+18*x^6+8*x^5+22*x^4+8*x^3+21*x^2+22*x+4", "y^2=x^8+x^6+17*x^5+3*x^4+17*x^3+2*x^2+17*x+2", "y^2=22*x^8+13*x^7+20*x^6+2*x^5+11*x^4+2*x^3+12*x^2+12*x+14", "y^2=x^8+16*x^7+13*x^6+21*x^5+13*x^4+21*x^3+12*x^2+5*x", "y^2=22*x^8+5*x^7+21*x^6+13*x^5+20*x^4+13*x^3+21*x^2+8*x+22", "y^2=22*x^8+5*x^7+16*x^6+8*x^5+13*x^4+8*x^3+14*x^2+3*x+20", "y^2=22*x^8+4*x^7+7*x^6+7*x^5+12*x^4+7*x^3+13*x^2+3*x+5", "y^2=22*x^8+17*x^7+20*x^6+6*x^5+5*x^4+6*x^3+6*x^2+12*x+8", "y^2=22*x^8+17*x^7+8*x^6+3*x^5+14*x^4+3*x^3+15*x^2+9*x+6", "y^2=22*x^8+20*x^7+7*x^6+19*x^5+6*x^4+19*x^3+7*x^2+22*x+22", "y^2=22*x^8+14*x^7+20*x^6+5*x^5+18*x^4+5*x^3+19*x^2+14*x+21", "y^2=22*x^8+4*x^7+4*x^6+11*x^5+3*x^4+11*x^3+4*x^2+7*x+22", "y^2=22*x^8+16*x^7+6*x^6+20*x^5+17*x^4+20*x^3+18*x^2+4*x+11", "y^2=22*x^8+7*x^7+15*x^6+7*x^5+9*x^4+7*x^3+10*x^2+17", "y^2=22*x^8+12*x^7+7*x^6+10*x^5+22*x^4+10*x^3+21*x+15", "y^2=22*x^8+11*x^7+x^6+6*x^5+12*x^4+6*x^3+13*x^2+18*x+11", "y^2=22*x^8+8*x^7+16*x^6+5*x^5+2*x^4+5*x^3+3*x^2+20*x+9", "y^2=22*x^8+16*x^7+4*x^6+12*x^5+17*x^4+21*x^2+10*x+20", "y^2=22*x^8+14*x^7+18*x^6+3*x^5+7*x^2+x+15", "y^2=22*x^8+4*x^7+7*x^6+6*x^5+9*x^4+9*x^2+16*x+10", "y^2=x^8+9*x^7+4*x^6+4*x^5+8*x^4+12*x^3+20*x^2+22*x+21", "y^2=22*x^8+14*x^7+8*x^6+15*x^5+12*x^4+10*x^3+18*x^2+4*x+6", "y^2=22*x^8+21*x^7+10*x^6+5*x^5+10*x^4+21*x^3+13*x^2+21*x", "y^2=22*x^7+4*x^6+8*x^5+16*x^4+8*x^3+16*x^2+9*x+12", "y^2=22*x^7+8*x^6+16*x^5+10*x^4+3*x^3+21*x^2+13*x+22", "y^2=22*x^7+6*x^6+9*x^5+16*x^4+19*x^3+20*x^2+18*x+3", "y^2=22*x^7+8*x^6+16*x^5+17*x^4+20*x^3+17*x^2+12*x+12", "y^2=x^7+8*x^6+3*x^5+20*x^4+6*x^3+15*x^2+22*x+19", "y^2=22*x^7+5*x^6+9*x^5+5*x^4+19*x^3+13*x^2+20*x+13", "y^2=22*x^7+8*x^6+22*x^5+5*x^4+14*x^3+9*x^2+8*x+5", "y^2=22*x^7+15*x^6+19*x^5+22*x^4+21*x^3+5*x^2+20*x+1", "y^2=22*x^7+18*x^6+6*x^5+x^3+2*x^2+2*x+20", "y^2=22*x^7+18*x^6+6*x^5+2*x^4+10*x^3+18*x+3", "y^2=22*x^7+9*x^6+20*x^5+8*x^4+15*x^3+3*x^2+16*x+7", "y^2=22*x^7+x^6+14*x^5+21*x^4+20*x^3+18*x^2+12*x+4", "y^2=22*x^7+15*x^6+21*x^5+5*x^4+17*x^3+21*x^2+20*x+10", "y^2=22*x^7+14*x^6+5*x^5+9*x^4+x^3+20*x^2+20", "y^2=x^7+4*x^6+8*x^5+8*x^3+4*x^2+2*x+11", "y^2=22*x^7+5*x^6+8*x^5+14*x^4+20*x^3+7*x^2+3*x+18", "y^2=22*x^8+4*x^7+13*x^6+19*x^5+3*x^4+12*x^3+12*x^2+14*x+16", "y^2=22*x^8+3*x^7+11*x^6+2*x^5+12*x^4+6*x^3+6*x^2+20*x+10", "y^2=22*x^8+22*x^7+4*x^5+21*x^4+5*x^3+10*x^2+7*x+10", "y^2=22*x^8+22*x^7+4*x^6+3*x^5+12*x^4+5*x^3+x^2+6*x+14", "y^2=22*x^8+14*x^7+13*x^6+14*x^5+20*x^4+17*x^3+10*x^2+14*x+18", "y^2=22*x^8+11*x^7+11*x^6+17*x^5+12*x^4+14*x^3+11*x^2+10*x+15", "y^2=22*x^8+12*x^7+19*x^6+7*x^5+21*x^4+21*x^3+21*x^2+5*x+17", "y^2=22*x^8+14*x^7+7*x^6+9*x^5+11*x^4+11*x^3+18*x^2+14", "y^2=22*x^8+16*x^7+18*x^5+21*x^4+6*x^3+21*x^2+21*x+20", "y^2=22*x^8+11*x^7+12*x^6+18*x^5+3*x^4+22*x^3+19*x^2+8*x+21", "y^2=x^8+9*x^7+21*x^6+5*x^5+20*x^4+15*x^3+17*x^2+18*x+11", "y^2=22*x^8+5*x^7+x^6+16*x^5+14*x^4+8*x^3+6*x^2+10*x+5", "y^2=22*x^8+14*x^7+18*x^6+3*x^5+11*x^4+14*x^3+20*x^2+7*x+20", "y^2=x^8+9*x^7+x^6+14*x^5+x^4+15*x^3+9*x+15", "y^2=22*x^8+3*x^7+5*x^6+2*x^5+18*x^4+11*x^3+20*x^2+9*x+9", "y^2=22*x^8+20*x^7+9*x^6+22*x^5+11*x^4+4*x^3+3*x^2+19*x+14", "y^2=22*x^8+21*x^7+12*x^5+7*x^4+7*x^3+18*x^2+10*x+17", "y^2=22*x^8+21*x^7+2*x^6+5*x^5+13*x^4+4*x^3+19*x^2+10*x+7", "y^2=22*x^8+16*x^7+21*x^6+16*x^5+18*x^4+6*x^3+15*x^2+2*x+17", "y^2=x^8+2*x^7+16*x^6+13*x^5+15*x^3+15*x^2+14*x+17", "y^2=22*x^8+8*x^7+9*x^6+3*x^5+8*x^4+20*x^3+7*x^2+x+9", "y^2=x^8+9*x^7+11*x^6+9*x^5+21*x^4+13*x^3+6*x^2+13*x+5", "y^2=x^8+9*x^7+14*x^6+x^5+20*x^4+9*x^3+11*x^2+10*x+13", "y^2=x^8+x^7+11*x^6+x^5+11*x^4+16*x^3+16*x^2+20*x+22", "y^2=22*x^8+7*x^7+19*x^6+3*x^5+4*x^4+3*x^3+x^2+2*x+15", "y^2=x^8+22*x^7+4*x^6+9*x^5+21*x^4+3*x^3+x^2+7*x", "y^2=22*x^8+15*x^7+9*x^6+3*x^5+3*x^4+22*x^3+9*x^2+6*x+5", "y^2=x^8+18*x^7+15*x^6+14*x^5+2*x^4+16*x^3+11*x^2+9*x", "y^2=x^8+8*x^7+19*x^6+13*x^5+10*x^4+5*x^3+2*x^2+16*x+10", "y^2=x^8+16*x^7+5*x^6+12*x^5+9*x^4+16*x^3+11*x+9", "y^2=x^7+9*x^6+5*x^5+17*x^4+11*x^3+17*x^2+7*x+10", "y^2=22*x^8+16*x^7+x^6+16*x^5+4*x^4+6*x^3+10*x^2+21*x+21", "y^2=22*x^8+5*x^7+19*x^6+22*x^5+13*x^4+x^3+21*x^2+22*x+18", "y^2=22*x^8+10*x^7+13*x^6+5*x^5+15*x^4+5*x^3+15*x+17", "y^2=22*x^8+22*x^7+9*x^6+7*x^5+21*x^3+15*x^2+9*x+20", "y^2=x^8+6*x^7+8*x^6+5*x^5+7*x^3+2*x^2+14*x+5", "y^2=22*x^8+18*x^6+3*x^5+6*x^4+4*x^3+12*x^2+5*x+20", "y^2=x^8+x^7+6*x^6+2*x^5+11*x^4+10*x^3+9*x^2+20*x+16", "y^2=22*x^8+17*x^7+21*x^6+15*x^5+3*x^4+8*x^3+3*x^2+4*x", "y^2=22*x^8+20*x^7+21*x^6+14*x^5+4*x^4+6*x^2+4*x+19", "y^2=x^8+20*x^7+9*x^6+5*x^5+21*x^4+3*x^3+15*x^2+3*x+1", "y^2=x^8+8*x^7+3*x^6+8*x^5+11*x^4+x^3+6*x^2+x+17", "y^2=22*x^8+4*x^7+13*x^6+17*x^5+13*x^4+20*x^3+6*x^2+16*x+10", "y^2=22*x^8+14*x^7+3*x^6+7*x^5+9*x^4+21*x^3+2*x^2+6", "y^2=22*x^7+18*x^6+8*x^5+13*x^4+10*x^3+19*x^2+9*x+4", "y^2=22*x^8+20*x^7+16*x^6+13*x^5+6*x^4+22*x^3+11*x^2+17*x+5", "y^2=22*x^8+17*x^7+2*x^6+6*x^5+13*x^4+8*x^3+11*x^2+19*x+1", "y^2=22*x^8+6*x^7+18*x^6+17*x^5+9*x^4+7*x^3+7*x^2+20", "y^2=22*x^8+8*x^7+9*x^6+15*x^5+8*x^4+15*x^3+22*x^2+13*x+13", "y^2=x^8+6*x^7+12*x^6+19*x^5+18*x^4+x^3+6*x^2+15*x+1", "y^2=22*x^8+8*x^7+10*x^6+20*x^5+17*x^4+5*x^3+15*x+11", "y^2=22*x^8+19*x^7+13*x^6+6*x^5+17*x^4+2*x^3+12*x^2+11*x+7", "y^2=22*x^8+19*x^7+9*x^6+6*x^5+18*x^4+14*x^3+13*x^2+15*x+20", "y^2=x^8+4*x^7+x^5+18*x^4+9*x^3+21*x^2+17*x+10", "y^2=22*x^8+14*x^7+x^6+13*x^5+19*x^4+x^3+12*x^2+20*x+7", "y^2=x^7+16*x^6+9*x^5+22*x^4+19*x^3+8*x^2+5*x+22", "y^2=22*x^8+21*x^7+10*x^6+10*x^5+16*x^4+17*x^3+13*x^2+2*x", "y^2=x^7+14*x^6+10*x^5+9*x^4+11*x^3+12*x^2+11*x+18", "y^2=22*x^8+11*x^7+13*x^6+10*x^5+17*x^4+9*x^3+2*x^2+14*x+4", "y^2=22*x^8+11*x^7+6*x^6+12*x^5+4*x^4+15*x^3+20*x^2+22*x", "y^2=22*x^8+20*x^7+19*x^6+22*x^5+20*x^4+5*x^3+19*x^2+17*x+4", "y^2=x^8+12*x^7+8*x^6+11*x^5+16*x^4+21*x^3+8*x^2+7*x+17", "y^2=22*x^8+4*x^7+9*x^6+8*x^5+16*x^4+22*x^3+13*x^2+17*x+19", "y^2=22*x^8+2*x^7+22*x^6+9*x^5+22*x^4+9*x^3+21*x^2+20*x+18", "y^2=22*x^8+9*x^7+22*x^6+4*x^5+15*x^4+x^3+20*x^2+12*x", "y^2=22*x^8+11*x^7+11*x^6+11*x^5+14*x^4+12*x^3+2*x^2+6", "y^2=x^8+10*x^7+18*x^5+19*x^4+6*x^3+18*x^2+14*x+17", "y^2=22*x^7+16*x^6+6*x^5+13*x^4+21*x^3+20*x^2+17", "y^2=22*x^8+21*x^7+8*x^6+7*x^5+6*x^4+14*x^2+20*x+21", "y^2=22*x^8+9*x^7+10*x^6+11*x^5+7*x^4+8*x^3+13*x^2+14*x+20", "y^2=22*x^8+11*x^7+12*x^6+15*x^5+22*x^4+22*x^3+19*x^2+10*x+22", "y^2=22*x^8+11*x^7+14*x^6+19*x^5+8*x^4+8*x^3+12*x^2+15*x", "y^2=22*x^8+7*x^7+15*x^6+15*x^4+2*x^3+20*x^2+22*x+21", "y^2=22*x^8+9*x^7+14*x^6+17*x^5+10*x^4+13*x^2+18*x+10", "y^2=x^8+2*x^7+21*x^6+9*x^5+14*x^4+x^3+9*x^2+6*x+11", "y^2=22*x^8+5*x^7+10*x^6+9*x^5+22*x^4+22*x^3+11*x^2+22*x+17", "y^2=22*x^7+3*x^6+20*x^5+12*x^4+19*x^3+21*x^2+21*x+9", "y^2=22*x^8+7*x^7+9*x^6+8*x^5+9*x^4+2*x^3+x^2+12*x+19", "y^2=x^8+7*x^7+5*x^5+8*x^4+6*x^3+10*x^2+12*x+10", "y^2=x^8+2*x^7+2*x^6+22*x^5+20*x^4+13*x^3+14*x^2+5", "y^2=22*x^8+8*x^7+10*x^6+x^5+21*x^4+12*x^3+19*x^2+22*x+10", "y^2=22*x^8+2*x^7+22*x^6+18*x^5+10*x^4+15*x^3+21*x^2+22*x", "y^2=22*x^8+17*x^7+6*x^6+8*x^5+15*x^4+5*x^3+17*x^2+15*x+10", "y^2=22*x^8+13*x^7+22*x^5+13*x^4+16*x^3+19*x^2+3*x+7", "y^2=22*x^8+10*x^7+22*x^6+20*x^5+x^4+7*x^3+5*x^2+20*x+3", "y^2=22*x^8+17*x^7+3*x^6+20*x^5+20*x^4+13*x^3+x^2+14*x+10", "y^2=x^8+14*x^7+9*x^6+17*x^5+10*x^4+14*x^3+15*x^2+21*x+8", "y^2=x^8+5*x^7+9*x^6+20*x^5+16*x^4+3*x^3+15*x+11", "y^2=22*x^8+8*x^7+9*x^6+18*x^5+13*x^4+3*x^3+12*x^2+2*x+21", "y^2=x^8+22*x^7+12*x^6+21*x^5+14*x^4+15*x^3+19*x^2+10*x+10", "y^2=22*x^8+4*x^7+7*x^6+8*x^5+14*x^4+12*x^2+2", "y^2=22*x^8+2*x^7+11*x^6+7*x^5+6*x^4+19*x^3+9*x^2+3*x+22", "y^2=22*x^8+9*x^7+4*x^6+3*x^5+16*x^4+x^3+10*x+9", "y^2=22*x^7+10*x^5+21*x^4+20*x^3+21*x^2+11*x+3", "y^2=22*x^8+6*x^7+9*x^6+4*x^5+4*x^4+3*x^3+20*x^2+16*x+8", "y^2=22*x^8+5*x^7+16*x^6+20*x^5+11*x^3+16*x^2+5*x+5", "y^2=22*x^8+3*x^7+19*x^6+10*x^5+8*x^4+20*x^3+4*x^2+14*x+17", "y^2=22*x^7+2*x^6+5*x^5+7*x^4+20*x^3+14*x^2+6*x+3", "y^2=x^8+2*x^7+19*x^6+19*x^5+21*x^4+12*x^3+18*x^2+14*x+5", "y^2=22*x^8+2*x^7+11*x^6+3*x^5+9*x^4+17*x^3+13*x^2+18*x+17", "y^2=22*x^8+11*x^7+9*x^6+6*x^5+x^4+17*x^3+4*x^2+11*x+3", "y^2=x^8+8*x^7+9*x^6+14*x^5+5*x^4+20*x^3+21*x^2+21*x+21", "y^2=22*x^8+13*x^7+8*x^6+15*x^5+18*x^4+20*x^3+18*x^2+8*x+5", "y^2=22*x^8+x^7+4*x^6+14*x^5+18*x^4+14*x^3+13*x^2+21*x+10", "y^2=22*x^8+11*x^7+19*x^6+15*x^5+12*x^4+19*x^3+21*x^2+12*x+3", "y^2=22*x^7+3*x^6+7*x^5+19*x^4+2*x^3+7*x^2+2*x+15", "y^2=22*x^8+x^7+11*x^6+2*x^5+15*x^4+2*x^3+11*x^2+4*x+11", "y^2=x^8+21*x^7+15*x^6+21*x^5+17*x^4+19*x^3+7*x^2+15*x+7", "y^2=22*x^8+22*x^7+22*x^6+11*x^5+22*x^4+5*x^3+14*x^2+7*x+2", "y^2=x^8+19*x^7+20*x^6+18*x^5+20*x^4+8*x^3+18*x^2+10*x+16", "y^2=22*x^8+13*x^7+16*x^6+12*x^5+9*x^4+16*x^3+21*x^2+21*x", "y^2=22*x^8+3*x^7+12*x^6+14*x^5+22*x^4+3*x^3+19*x^2+2*x+10", "y^2=22*x^8+17*x^7+18*x^6+7*x^5+13*x^4+14*x^3+7*x^2+16*x+9", "y^2=x^8+7*x^7+11*x^6+15*x^5+6*x^4+10*x^3+2*x^2+15*x+14", "y^2=22*x^8+2*x^7+14*x^6+19*x^5+20*x^4+20*x^3+10*x^2+7*x+16", "y^2=22*x^8+2*x^7+9*x^6+3*x^4+15*x^3+4*x^2+16*x+15", "y^2=22*x^8+13*x^6+15*x^5+15*x^4+21*x^3+13*x^2+13*x+8", "y^2=22*x^8+7*x^7+12*x^6+7*x^5+5*x^4+5*x^3+6*x^2+5*x+2", "y^2=x^8+20*x^7+10*x^6+18*x^5+3*x^4+8*x^3+13*x^2+15*x+19", "y^2=22*x^8+4*x^7+19*x^6+12*x^5+4*x^4+x^3+4*x^2+13*x+4", "y^2=22*x^8+9*x^7+16*x^6+17*x^5+5*x^4+x^3+14*x^2+15*x+22", "y^2=22*x^8+8*x^7+19*x^6+5*x^5+14*x^4+22*x^3+8*x", "y^2=22*x^8+10*x^7+12*x^6+2*x^5+7*x^4+5*x^3+18*x^2+18*x+9", "y^2=22*x^8+19*x^7+18*x^6+5*x^5+22*x^4+20*x^3+8*x^2+4*x+16", "y^2=22*x^8+9*x^7+7*x^6+3*x^4+10*x^3+15*x^2+3*x+14", "y^2=x^8+x^7+17*x^6+3*x^5+14*x^4+14*x^3+19*x^2+x+10", "y^2=22*x^8+2*x^7+10*x^5+15*x^4+21*x^3+21*x+14", "y^2=22*x^8+9*x^7+5*x^6+18*x^5+11*x^4+18*x^3+22*x+14", "y^2=22*x^8+14*x^7+16*x^6+21*x^5+2*x^4+2*x^3+10*x^2+7*x+5", "y^2=x^8+8*x^7+4*x^6+6*x^5+2*x^4+13*x^3+22*x^2+20*x+5", "y^2=22*x^8+7*x^7+16*x^6+16*x^5+13*x^4+10*x^3+16*x^2+17*x+13", "y^2=x^8+16*x^7+16*x^6+20*x^5+10*x^3+8*x^2+10*x+15", "y^2=x^8+18*x^7+17*x^6+13*x^5+11*x^4+6*x^3+4*x^2+14*x+16", "y^2=22*x^8+18*x^7+15*x^6+17*x^5+20*x^4+17*x^3+16*x^2+17*x+16", "y^2=22*x^8+4*x^7+19*x^5+14*x^4+16*x^3+13*x^2+21*x+20", "y^2=22*x^8+6*x^7+22*x^6+22*x^5+11*x^4+x^3+x^2+15*x+20", "y^2=22*x^8+12*x^7+17*x^6+15*x^5+4*x^4+15*x^3+17*x^2+5*x+14", "y^2=22*x^8+18*x^7+2*x^6+2*x^5+2*x^4+7*x^3+6*x^2+20*x+21", "y^2=x^8+4*x^7+13*x^6+9*x^5+19*x^4+9*x^3+8*x^2+13*x+15", "y^2=22*x^8+x^7+19*x^6+x^5+14*x^3+17*x^2+12*x+15", "y^2=22*x^8+15*x^7+6*x^6+13*x^5+14*x^4+12*x^3+18*x^2+12*x+20", "y^2=x^8+10*x^7+15*x^6+10*x^4+7*x^3+16*x^2+16*x+11", "y^2=x^8+11*x^7+5*x^6+12*x^5+13*x^3+20*x+1", "y^2=x^8+9*x^7+17*x^6+8*x^5+20*x^4+18*x^3+14*x^2+7*x+22", "y^2=22*x^8+9*x^7+x^6+2*x^5+21*x^4+10*x^3+16*x^2+15*x+18", "y^2=22*x^8+14*x^7+6*x^6+15*x^5+16*x^4+7*x^3+11*x^2+20*x+20", "y^2=22*x^8+13*x^7+15*x^6+18*x^5+x^4+17*x^3+5*x^2+10*x+20", "y^2=x^8+16*x^7+2*x^6+10*x^5+17*x^4+10*x^3+9*x^2+5*x+6", "y^2=x^8+3*x^7+6*x^6+x^5+x^4+13*x^3+11*x^2+11*x+16", "y^2=x^8+16*x^7+16*x^6+14*x^5+18*x^4+12*x^3+19*x^2+3*x+12", "y^2=x^8+9*x^6+18*x^5+21*x^4+10*x^3+19*x^2+10*x+8", "y^2=22*x^8+16*x^7+7*x^6+13*x^5+14*x^4+13*x^3+6*x^2+17*x+5", "y^2=22*x^8+7*x^7+14*x^6+9*x^5+7*x^4+20*x^3+9*x^2+4*x+16", "y^2=22*x^8+16*x^7+9*x^6+16*x^5+17*x^4+6*x^3+22*x^2+8*x+7", "y^2=22*x^8+22*x^7+8*x^6+x^5+5*x^4+5*x^3+2*x^2+15*x+5", "y^2=22*x^8+10*x^7+22*x^6+20*x^5+13*x^4+11*x^3+11*x^2+5*x+8", "y^2=22*x^8+11*x^7+14*x^6+20*x^5+7*x^4+8*x^3+21*x^2+7*x+12", "y^2=22*x^8+19*x^7+9*x^6+5*x^5+9*x^4+13*x^3+18*x^2+7*x+17", "y^2=x^8+11*x^5+17*x^4+19*x^3+14*x^2+17*x+22", "y^2=22*x^8+7*x^7+x^6+4*x^5+7*x^4+11*x^3+17*x^2+2*x+15", "y^2=22*x^8+10*x^7+22*x^6+5*x^5+13*x^4+12*x^3+5*x^2+8*x+21", "y^2=22*x^8+17*x^7+4*x^6+10*x^5+3*x^3+2*x^2+6*x+22", "y^2=x^8+5*x^7+5*x^6+x^5+x^4+4*x^3+6*x^2+20*x+19", "y^2=22*x^8+5*x^7+18*x^6+5*x^5+x^4+21*x^3+17*x^2+2*x+22", "y^2=22*x^8+15*x^7+4*x^6+6*x^5+20*x^4+9*x^3+11*x^2+6*x+14", "y^2=22*x^8+14*x^7+9*x^6+15*x^5+19*x^4+17*x^3+5*x^2+6*x+10", "y^2=22*x^8+21*x^6+6*x^5+20*x^4+2*x^3+20*x^2+12*x+7", "y^2=x^8+5*x^7+20*x^6+21*x^5+15*x^4+15*x^3+16*x+20", "y^2=x^8+13*x^7+21*x^6+11*x^5+4*x^4+13*x^3+11*x^2+11*x+2", "y^2=22*x^8+13*x^7+12*x^6+9*x^5+16*x^4+14*x^3+11*x^2+18*x+15", "y^2=x^8+13*x^7+15*x^6+15*x^5+20*x^4+2*x^3+x+19", "y^2=22*x^8+16*x^7+20*x^6+15*x^5+16*x^4+8*x^3+6*x^2+22*x+5", "y^2=22*x^8+3*x^7+12*x^5+2*x^4+13*x^3+11*x^2+5*x+15", "y^2=22*x^8+3*x^7+20*x^5+8*x^4+22*x^2+2*x+4", "y^2=x^8+15*x^7+13*x^6+22*x^5+19*x^4+14*x^3+2*x^2+15*x+19", "y^2=22*x^8+17*x^7+3*x^6+3*x^5+20*x^4+10*x^3+4*x^2+6*x+16", "y^2=22*x^8+3*x^7+7*x^5+18*x^4+2*x^3+14*x^2+16*x+11", "y^2=x^8+18*x^7+19*x^6+x^5+22*x^4+15*x^3+8*x+21", "y^2=x^8+2*x^7+7*x^6+19*x^5+7*x^4+4*x^3+18*x^2+16*x+22", "y^2=x^8+19*x^7+4*x^6+10*x^5+6*x^4+9*x^3+15*x^2+17*x+2", "y^2=22*x^8+12*x^7+22*x^6+9*x^5+5*x^4+7*x^3+7*x^2+2*x+11", "y^2=x^8+13*x^7+13*x^6+4*x^5+10*x^4+x^3+6*x^2+12*x+14", "y^2=22*x^8+10*x^7+3*x^5+12*x^4+11*x^3+3*x^2+18*x+20", "y^2=22*x^8+10*x^7+16*x^6+9*x^5+11*x^4+20*x^3+19*x^2+10*x+13", "y^2=22*x^8+19*x^7+18*x^6+7*x^5+13*x^4+20*x^3+5*x^2+4", "y^2=22*x^8+13*x^7+3*x^6+3*x^5+8*x^4+9*x^3+19*x^2+7*x+2", "y^2=22*x^8+17*x^7+x^6+21*x^5+9*x^4+14*x^3+7*x^2+16*x+21", "y^2=22*x^8+22*x^7+7*x^6+18*x^5+16*x^4+3*x^3+10*x^2+17*x+21", "y^2=x^8+9*x^7+x^6+8*x^5+20*x^4+13*x^2+9*x+19", "y^2=x^8+11*x^7+10*x^6+20*x^5+13*x^4+13*x^3+14*x^2+15", "y^2=22*x^8+15*x^7+20*x^6+2*x^5+10*x^4+9*x^3+19*x^2+20*x+17", "y^2=22*x^8+4*x^7+19*x^6+8*x^5+10*x^4+3*x^3+15*x^2+10*x+13", "y^2=x^8+6*x^7+3*x^6+15*x^5+11*x^4+3*x^3+18*x^2+18*x+5", "y^2=x^8+9*x^7+11*x^6+11*x^5+12*x^4+2*x^2+4*x+5", "y^2=x^8+11*x^7+16*x^6+10*x^5+10*x^4+4*x^3+2*x^2+x+8", "y^2=22*x^8+2*x^7+4*x^6+14*x^5+13*x^4+4*x^3+21*x^2+2*x+18", "y^2=x^8+13*x^7+11*x^6+18*x^5+2*x^4+20*x^3+9*x^2+2*x+10", "y^2=22*x^8+12*x^7+x^6+18*x^5+16*x^4+14*x^3+7*x^2+18*x+5", "y^2=22*x^8+11*x^7+15*x^6+3*x^5+3*x^4+17*x^3+22*x^2+22*x+18", "y^2=22*x^8+7*x^7+22*x^6+12*x^5+9*x^4+7*x^3+18*x^2+8*x+4", "y^2=22*x^8+14*x^7+3*x^6+12*x^5+5*x^4+15*x^2+11*x+14", "y^2=22*x^8+8*x^7+12*x^6+22*x^5+8*x^4+7*x^3+18*x^2+5", "y^2=x^8+12*x^7+11*x^6+8*x^5+7*x^4+10*x^3+x^2+10*x+14", "y^2=22*x^8+13*x^7+2*x^6+11*x^5+11*x^4+21*x^3+10*x^2+22*x+18", "y^2=22*x^8+13*x^7+19*x^6+2*x^5+2*x^4+2*x^3+15*x^2+5*x+11", "y^2=x^8+7*x^7+10*x^6+17*x^5+x^4+7*x^3+18*x^2+12*x+1", "y^2=22*x^8+8*x^7+18*x^6+10*x^5+x^4+20*x^2+14", "y^2=x^8+22*x^7+17*x^6+2*x^5+20*x^4+13*x^3+12*x^2+16*x+8", "y^2=x^8+19*x^7+11*x^6+15*x^5+x^4+13*x^3+16*x^2+17*x+13", "y^2=22*x^8+13*x^7+11*x^6+7*x^5+20*x^4+21*x^3+3*x^2+6*x+5", "y^2=x^8+14*x^7+4*x^6+8*x^5+x^4+13*x^3+3*x+16", "y^2=22*x^8+13*x^7+16*x^5+2*x^4+17*x^3+20*x^2+15*x+1", "y^2=22*x^8+17*x^7+4*x^6+4*x^5+13*x^4+6*x^3+15*x^2+2*x+14", "y^2=22*x^8+3*x^7+10*x^6+2*x^5+20*x^4+20*x^3+6*x^2+21*x+7", "y^2=22*x^8+18*x^7+2*x^6+12*x^5+16*x^4+6*x^3+19*x^2+14*x+5", "y^2=x^8+x^7+16*x^6+8*x^5+14*x^4+7*x^2+11*x+15", "y^2=x^8+7*x^7+12*x^6+6*x^5+11*x^4+15*x^3+15*x^2+16*x+21", "y^2=x^8+15*x^7+17*x^6+16*x^5+4*x^4+22*x^3+7*x^2+8*x+12", "y^2=22*x^8+15*x^7+10*x^6+17*x^5+16*x^4+8*x^3+9*x^2+3*x+22", "y^2=22*x^8+12*x^7+17*x^6+7*x^5+8*x^4+11*x^3+19*x^2+2*x+3", "y^2=22*x^8+4*x^7+21*x^6+18*x^5+10*x^4+22*x^3+x^2+1", "y^2=22*x^8+6*x^7+3*x^6+15*x^5+14*x^4+14*x^2+13*x+12", "y^2=22*x^8+18*x^7+10*x^6+10*x^5+10*x^4+21*x^3+18*x^2+18*x+21", "y^2=22*x^8+2*x^7+13*x^6+20*x^5+x^4+16*x^3+19*x^2+14*x+2", "y^2=22*x^8+8*x^7+3*x^6+14*x^5+4*x^4+21*x^3+12*x^2+12*x+12", "y^2=22*x^8+18*x^7+16*x^6+3*x^5+7*x^4+20*x^3+3*x^2+2*x+11", "y^2=22*x^8+18*x^7+5*x^6+18*x^5+6*x^4+13*x^3+2*x^2+11*x+8", "y^2=22*x^8+21*x^7+16*x^6+13*x^5+2*x^4+10*x^3+18*x^2+21*x+14", "y^2=x^8+12*x^7+4*x^6+8*x^5+22*x^4+22*x^3+2*x^2+18*x+20", "y^2=x^8+13*x^7+5*x^6+12*x^5+12*x^4+21*x^3+11*x^2+11*x+20", "y^2=22*x^8+5*x^7+14*x^6+3*x^5+6*x^4+9*x^3+7*x^2+22*x+15", "y^2=22*x^8+22*x^7+21*x^6+6*x^5+16*x^4+11*x^3+14*x^2+x+18", "y^2=x^8+10*x^7+16*x^6+9*x^4+12*x^3+18*x^2+5*x+3", "y^2=22*x^8+22*x^7+21*x^6+4*x^5+13*x^4+8*x^3+10*x^2+9*x+4", "y^2=x^8+19*x^7+19*x^6+21*x^5+19*x^4+11*x^3+11*x^2+12*x+4", "y^2=x^8+10*x^7+x^6+8*x^5+14*x^4+20*x^3+6*x^2+22*x+14", "y^2=22*x^8+19*x^7+16*x^6+16*x^5+x^4+19*x^3+20*x^2+20*x+13", "y^2=x^8+9*x^7+14*x^6+11*x^5+3*x^4+13*x^3+7*x^2+2*x+11", "y^2=22*x^8+21*x^7+12*x^6+19*x^5+7*x^4+21*x^3+12*x^2+14*x+19", "y^2=22*x^8+17*x^7+19*x^6+2*x^5+17*x^4+6*x^3+6*x^2+19*x+4", "y^2=x^8+7*x^7+17*x^6+7*x^5+17*x^4+3*x^3+16*x^2+19", "y^2=x^8+3*x^7+9*x^6+11*x^5+2*x^4+20*x^3+2*x^2+21*x+15", "y^2=x^8+12*x^7+3*x^6+2*x^5+7*x^4+14*x^3+14*x^2+15*x+9", "y^2=x^8+16*x^7+19*x^6+6*x^5+17*x^4+2*x^3+4*x^2+9*x+2", "y^2=x^8+8*x^7+20*x^6+14*x^5+14*x^4+21*x^3+x^2+8*x+12", "y^2=22*x^8+20*x^7+13*x^6+7*x^5+12*x^4+10*x^3+6*x^2+19*x+22", "y^2=22*x^8+19*x^7+18*x^6+21*x^5+16*x^4+3*x^3+4*x^2+3*x+16", "y^2=x^8+7*x^7+13*x^6+x^5+14*x^4+11*x^3+9*x^2+16*x+11", "y^2=x^8+7*x^6+17*x^5+2*x^4+22*x^3+2*x^2+3*x+19", "y^2=22*x^8+8*x^7+17*x^6+12*x^5+10*x^4+6*x^3+18*x^2+18*x+19", "y^2=x^8+8*x^7+10*x^6+2*x^5+22*x^4+7*x^3+11*x^2+14*x+16", "y^2=x^8+3*x^7+22*x^6+3*x^5+6*x^4+20*x^3+13*x+21", "y^2=22*x^8+21*x^7+18*x^6+13*x^4+22*x^3+3*x^2+17*x+8", "y^2=22*x^8+21*x^7+15*x^6+10*x^5+21*x^4+9*x^3+9*x^2+10*x+15", "y^2=22*x^8+10*x^7+11*x^6+19*x^4+20*x^3+10*x^2+6*x+13", "y^2=22*x^8+18*x^7+6*x^6+19*x^5+2*x^4+18*x^2+5*x+16", "y^2=22*x^8+16*x^7+17*x^6+4*x^4+14*x^3+10*x^2+8*x+19", "y^2=x^8+11*x^7+2*x^5+11*x^4+15*x^3+2*x+20", "y^2=22*x^8+20*x^7+16*x^6+15*x^5+2*x^4+2*x^3+9*x^2+13*x+22", "y^2=22*x^8+20*x^7+3*x^6+14*x^5+21*x^4+5*x^3+21*x^2+10*x+7", "y^2=22*x^8+12*x^7+3*x^6+4*x^5+12*x^4+8*x^3+18*x^2+19*x+21", "y^2=22*x^8+5*x^7+8*x^6+12*x^4+11*x^3+10*x^2+21*x+20", "y^2=22*x^8+10*x^7+4*x^6+x^5+17*x^4+3*x^3+17*x^2+5*x+22", "y^2=22*x^8+7*x^7+18*x^6+17*x^5+15*x^4+13*x^3+8*x^2+5*x+17", "y^2=x^8+17*x^7+5*x^6+4*x^5+3*x^4+21*x^3+18*x^2+16*x+2", "y^2=22*x^8+x^7+16*x^6+18*x^5+15*x^4+15*x^3+x^2+8*x+17", "y^2=x^8+21*x^7+4*x^6+x^5+4*x^4+18*x^3+8*x^2+21*x+12", "y^2=22*x^8+21*x^7+2*x^6+5*x^5+15*x^4+16*x^3+7*x^2+6*x+9", "y^2=x^8+10*x^7+16*x^6+14*x^5+21*x^4+21*x^3+8*x^2+x+17", "y^2=22*x^8+20*x^7+19*x^6+8*x^5+7*x^4+22*x^3+10*x+19", "y^2=x^8+7*x^7+6*x^6+7*x^5+21*x^4+7*x^3+15*x^2+2*x+20", "y^2=x^8+4*x^7+6*x^6+8*x^5+6*x^4+6*x^3+6*x^2+11*x+15", "y^2=22*x^8+13*x^7+20*x^6+19*x^5+18*x^4+x^3+17*x^2+x+19", "y^2=22*x^8+3*x^7+18*x^6+3*x^5+19*x^4+18*x^3+19*x^2+10*x+6", "y^2=22*x^8+9*x^7+18*x^6+15*x^5+3*x^4+18*x^3+22*x^2+18*x+12", "y^2=22*x^8+6*x^7+2*x^6+8*x^5+3*x^4+7*x^3+12*x^2+18*x+22", "y^2=x^8+16*x^7+19*x^6+11*x^5+17*x^4+10*x^3+22*x^2+14*x+22", "y^2=x^8+14*x^7+3*x^6+17*x^5+20*x^4+10*x^3+6*x^2+10*x+18", "y^2=22*x^8+5*x^7+11*x^6+3*x^5+14*x^4+8*x^3+15*x^2+11*x+2", "y^2=x^8+16*x^7+20*x^6+9*x^5+12*x^4+18*x^3+18*x^2+2*x+5", "y^2=22*x^8+14*x^7+13*x^6+8*x^5+11*x^3+20*x^2+22*x+17", "y^2=22*x^8+16*x^7+17*x^6+21*x^5+15*x^4+11*x^3+9*x^2+5*x+4", "y^2=x^8+21*x^7+18*x^6+13*x^5+20*x^4+5*x^3+7*x^2+18", "y^2=22*x^8+9*x^6+16*x^5+4*x^4+5*x^3+14*x^2+22*x+7", "y^2=x^8+8*x^7+12*x^6+15*x^5+2*x^4+4*x^3+17*x^2+6*x+21", "y^2=22*x^8+2*x^7+12*x^6+2*x^5+21*x^4+20*x^2+15*x+11", "y^2=22*x^8+3*x^7+11*x^6+4*x^5+9*x^4+21*x^3+8*x^2+18*x+16", "y^2=22*x^8+6*x^7+19*x^6+21*x^4+5*x^3+17*x^2+x+20", "y^2=22*x^8+6*x^7+5*x^6+16*x^5+x^4+13*x^3+9*x^2+12*x+2", "y^2=22*x^8+9*x^7+8*x^6+19*x^5+22*x^4+21*x^3+19*x+10", "y^2=22*x^8+x^7+6*x^6+14*x^5+9*x^4+16*x^3+21*x^2+11*x+10", "y^2=22*x^8+21*x^7+2*x^6+6*x^5+13*x^4+14*x^3+2*x^2+11", "y^2=22*x^8+9*x^7+14*x^6+4*x^5+3*x^4+19*x^2+15*x+11", "y^2=22*x^8+5*x^7+22*x^6+15*x^5+6*x^4+6*x^3+2*x^2+15*x+17", "y^2=22*x^8+4*x^7+x^5+8*x^4+21*x^3+12*x^2+12*x+17", "y^2=22*x^8+5*x^7+x^6+6*x^5+13*x^4+22*x^3+3*x^2+17*x+22", "y^2=22*x^8+9*x^7+17*x^6+4*x^5+9*x^4+8*x^3+12*x^2+12*x+16", "y^2=x^8+22*x^6+20*x^5+10*x^4+17*x^3+12*x^2+3*x+6", "y^2=22*x^8+19*x^7+12*x^6+x^5+19*x^4+6*x^2+5*x+4", "y^2=22*x^8+8*x^6+6*x^5+15*x^4+7*x^3+12*x^2+16*x+10", "y^2=x^8+12*x^7+20*x^6+19*x^5+4*x^4+18*x^3+8*x^2+5*x+20", "y^2=22*x^8+3*x^7+21*x^6+11*x^5+6*x^4+22*x^3+10*x^2+5*x+11", "y^2=22*x^8+11*x^7+4*x^6+10*x^5+19*x^4+9*x^3+17*x^2+18*x+3", "y^2=x^8+21*x^7+4*x^6+22*x^5+3*x^4+4*x^3+7*x^2+12*x+14", "y^2=22*x^8+16*x^7+22*x^6+4*x^5+7*x^4+7*x^3+x^2+6*x+21", "y^2=x^8+7*x^7+19*x^6+3*x^5+4*x^4+21*x^3+4*x^2+6*x+18", "y^2=22*x^8+15*x^7+18*x^6+16*x^4+8*x^3+22*x^2+9*x+7", "y^2=22*x^8+17*x^7+17*x^6+20*x^5+18*x^4+9*x^3+22*x^2+21*x+1", "y^2=x^8+8*x^7+4*x^6+5*x^5+20*x^4+4*x^3+20*x^2+6*x+14", "y^2=22*x^8+17*x^7+12*x^6+3*x^5+15*x^4+20*x^3+14*x^2+22*x+21", "y^2=22*x^8+10*x^7+12*x^6+17*x^4+3*x^3+7*x^2+22*x+5", "y^2=x^8+13*x^7+11*x^6+20*x^5+9*x^4+12*x^3+15*x^2+18*x+14", "y^2=22*x^8+22*x^6+18*x^5+15*x^4+9*x^3+3*x^2+16*x+22", "y^2=22*x^8+4*x^7+7*x^6+10*x^5+15*x^4+5*x^3+x^2+16*x+22", "y^2=22*x^8+18*x^7+11*x^6+6*x^5+14*x^4+x^3+20*x^2+4*x+17", "y^2=x^8+8*x^7+21*x^6+11*x^5+2*x^4+18*x^3+17*x^2+11*x+2", "y^2=22*x^8+6*x^7+8*x^6+16*x^5+12*x^4+8*x^3+8*x^2+2*x+19", "y^2=22*x^8+5*x^7+3*x^6+6*x^5+14*x^4+12*x^3+17*x^2+6*x+10", "y^2=x^8+7*x^7+2*x^6+7*x^5+12*x^4+4*x^3+9*x^2+21*x+9", "y^2=22*x^8+12*x^7+10*x^6+16*x^5+3*x^4+7*x^3+x^2+3", "y^2=x^8+x^7+14*x^6+4*x^5+18*x^4+15*x^3+6*x^2+11*x+9", "y^2=22*x^8+11*x^6+15*x^5+19*x^4+10*x^3+14*x^2+12*x+19", "y^2=22*x^8+17*x^7+7*x^6+5*x^5+2*x^4+19*x^2+14*x+14", "y^2=x^8+12*x^7+20*x^6+4*x^5+21*x^4+22*x^3+3*x+14", "y^2=22*x^8+17*x^7+3*x^6+21*x^5+2*x^4+6*x^3+12*x^2+5*x+21", "y^2=x^8+14*x^7+17*x^6+10*x^5+11*x^4+14*x^3+17*x^2+11*x+4", "y^2=22*x^8+12*x^7+4*x^6+21*x^5+19*x^4+9*x^3+2*x^2+21*x+15", "y^2=x^8+11*x^7+5*x^6+17*x^5+15*x^4+11*x^2+4*x+20", "y^2=22*x^8+22*x^7+8*x^6+16*x^5+14*x^4+14*x^3+6*x^2+22*x+12", "y^2=x^8+x^7+6*x^6+21*x^5+8*x^4+6*x^3+8*x^2+5*x+15", "y^2=22*x^8+4*x^7+17*x^6+2*x^4+22*x^3+19*x^2+16*x+2", "y^2=x^8+6*x^7+x^6+11*x^5+20*x^4+6*x^3+16*x^2+5*x+1", "y^2=x^8+13*x^7+5*x^6+3*x^5+12*x^3+16*x^2+x+6", "y^2=22*x^8+2*x^7+15*x^6+16*x^5+16*x^4+7*x^3+11*x^2+3*x+20", "y^2=22*x^8+6*x^7+20*x^6+11*x^5+19*x^4+13*x^3+22*x^2+14*x+14", "y^2=x^8+13*x^7+12*x^6+7*x^5+2*x^4+22*x^2+11*x+16", "y^2=22*x^8+14*x^7+12*x^6+13*x^4+14*x^3+19*x^2+9*x+6", "y^2=22*x^8+13*x^7+9*x^6+19*x^5+9*x^4+16*x^3+20*x^2+3*x+15", "y^2=x^8+4*x^7+15*x^6+12*x^5+19*x^4+3*x^3+8*x^2+15*x+2", "y^2=x^8+12*x^7+9*x^6+15*x^5+6*x^4+13*x^3+2*x^2+22*x+3", "y^2=x^8+11*x^7+18*x^6+13*x^5+6*x^4+7*x^3+19*x^2+11*x+10", "y^2=x^8+18*x^7+x^6+6*x^5+12*x^4+21*x^3+13*x^2+19*x+19", "y^2=x^8+16*x^6+13*x^5+11*x^4+15*x^3+3*x^2+3*x+12", "y^2=22*x^8+7*x^7+2*x^6+17*x^5+7*x^4+5*x^3+15*x^2+21*x+3", "y^2=22*x^8+16*x^7+5*x^6+18*x^5+16*x^4+9*x^3+20*x+2", "y^2=x^8+18*x^7+8*x^6+3*x^5+10*x^4+17*x^3+3*x^2+2*x+21", "y^2=22*x^8+14*x^7+11*x^6+14*x^5+6*x^4+21*x^3+6*x^2+12*x+21", "y^2=22*x^8+4*x^7+18*x^6+10*x^5+20*x^4+15*x^3+15*x^2+7*x+6", "y^2=x^8+7*x^7+14*x^6+9*x^5+x^4+13*x^3+3*x^2+17*x+22", "y^2=22*x^8+11*x^7+12*x^6+3*x^5+21*x^4+5*x^3+20*x^2+3*x+7", "y^2=22*x^8+5*x^7+9*x^6+x^5+16*x^4+9*x^3+8*x^2+4*x+19", "y^2=x^8+6*x^7+7*x^6+8*x^5+10*x^4+18*x^3+12*x^2+14*x+10", "y^2=22*x^8+3*x^7+16*x^6+8*x^5+5*x^4+8*x^3+9*x^2+9*x+11", "y^2=x^8+22*x^7+11*x^6+2*x^5+11*x^4+15*x^3+4*x^2+16*x+3", "y^2=22*x^8+6*x^7+22*x^6+20*x^5+22*x^4+18*x^3+11*x^2+19", "y^2=22*x^8+17*x^7+20*x^6+18*x^5+18*x^4+17*x^3+7*x^2+20*x+6", "y^2=22*x^8+18*x^7+x^6+3*x^5+8*x^4+x^3+10*x^2+19*x+7", "y^2=x^8+10*x^7+13*x^6+22*x^5+3*x^4+22*x^3+21*x^2+20*x+18", "y^2=22*x^8+14*x^7+4*x^5+8*x^4+17*x^3+7*x^2+19*x+5", "y^2=22*x^8+14*x^7+12*x^6+14*x^5+4*x^4+8*x^3+22*x^2+14*x+18", "y^2=x^8+4*x^7+11*x^6+21*x^5+11*x^4+8*x^2+21*x+11", "y^2=x^8+18*x^7+21*x^6+17*x^5+9*x^4+18*x^3+16*x^2+13*x+1", "y^2=22*x^8+8*x^7+10*x^6+12*x^5+22*x^4+3*x^3+16*x^2+13*x+17", "y^2=22*x^8+4*x^7+2*x^6+11*x^5+3*x^4+12*x^3+5*x^2+12*x+14", "y^2=22*x^8+20*x^7+10*x^6+3*x^4+6*x^3+11*x^2+12*x+7", "y^2=22*x^8+14*x^7+16*x^6+18*x^5+10*x^4+18*x^3+16*x^2+16*x+22", "y^2=22*x^8+3*x^7+x^6+13*x^5+2*x^4+3*x^3+22*x^2+6*x+4", "y^2=x^8+8*x^7+16*x^6+17*x^5+10*x^4+6*x^3+x^2+7*x+22", "y^2=22*x^8+5*x^6+10*x^5+10*x^4+15*x+14", "y^2=x^8+11*x^7+4*x^6+7*x^5+18*x^4+7*x^3+18*x^2+13*x+18", "y^2=22*x^8+16*x^7+4*x^6+3*x^5+16*x^4+16*x^3+19*x^2+12*x+8", "y^2=22*x^8+10*x^7+16*x^6+14*x^5+16*x^3+2*x^2+22*x+16", "y^2=22*x^8+6*x^7+20*x^6+9*x^5+9*x^4+15*x^3+14*x^2+6*x+22", "y^2=x^8+17*x^7+20*x^6+x^5+15*x^4+11*x^3+22*x^2+16*x+19", "y^2=22*x^8+20*x^7+14*x^6+22*x^5+12*x^4+15*x^3+15*x^2+21*x+2", "y^2=x^8+21*x^7+13*x^6+6*x^5+18*x^4+10*x^3+10*x^2+5*x+10", "y^2=22*x^8+7*x^7+22*x^6+2*x^5+9*x^4+2*x^3+19*x^2+5", "y^2=22*x^8+3*x^7+4*x^6+18*x^5+14*x^4+14*x^3+22*x^2+11*x+19", "y^2=22*x^8+4*x^7+12*x^6+19*x^5+4*x^4+22*x^3+12*x^2+18*x+16", "y^2=22*x^8+8*x^7+18*x^6+6*x^5+17*x^4+3*x^3+4*x^2+13*x+19", "y^2=x^8+14*x^7+11*x^6+13*x^5+21*x^4+6*x^3+20*x^2+12*x+4", "y^2=x^8+11*x^7+7*x^6+10*x^4+15*x^3+11*x^2+12*x+20", "y^2=x^8+x^7+16*x^6+16*x^5+6*x^4+15*x^3+17*x^2+2*x+15", "y^2=x^8+18*x^7+7*x^6+19*x^5+8*x^4+18*x^3+8*x^2+12*x+4", "y^2=x^8+3*x^7+17*x^6+11*x^5+8*x^4+6*x^3+15*x^2+19*x+19", "y^2=22*x^8+5*x^7+13*x^6+10*x^5+22*x^4+21*x^3+21*x^2+18*x+19", "y^2=x^8+21*x^7+15*x^6+20*x^5+5*x^4+22*x^3+15*x^2+18*x+6", "y^2=x^8+4*x^7+15*x^6+12*x^5+3*x^4+9*x^3+16*x^2+17*x+14", "y^2=22*x^8+8*x^7+10*x^6+9*x^5+16*x^4+17*x^3+19*x^2+7*x+18", "y^2=x^8+16*x^7+10*x^6+19*x^5+17*x^4+13*x^3+14*x^2+17*x+18", "y^2=x^8+21*x^6+12*x^5+6*x^3+4*x^2+19*x+5", "y^2=22*x^8+2*x^7+21*x^6+4*x^5+17*x^4+15*x^3+x^2+18*x+14", "y^2=22*x^8+13*x^7+11*x^6+4*x^5+4*x^4+16*x^3+15*x^2+5", "y^2=22*x^8+9*x^7+16*x^6+10*x^5+15*x^4+21*x^3+7*x^2+18*x+10", "y^2=x^8+8*x^7+12*x^6+7*x^5+15*x^4+22*x^3+10*x^2+12*x+18", "y^2=22*x^8+12*x^7+21*x^6+19*x^5+22*x^4+4*x^3+8*x^2+13*x+13", "y^2=22*x^8+4*x^7+8*x^6+7*x^5+19*x^4+16*x^2+3*x+8", "y^2=22*x^8+19*x^7+8*x^6+22*x^5+20*x^4+15*x^3+9*x^2+21", "y^2=22*x^8+8*x^7+x^6+18*x^4+7*x^3+13*x^2+19", "y^2=22*x^8+10*x^7+20*x^5+3*x^4+x^3+15*x^2+17*x+15", "y^2=x^8+8*x^7+22*x^6+22*x^5+3*x^4+15*x^3+9*x^2+14*x+20", "y^2=x^8+18*x^7+18*x^6+16*x^5+16*x^4+22*x^3+8*x^2+6*x+3"], "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": ["6.0.5241632472.1"], "geometric_splitting_field": "6.0.5241632472.1", "geometric_splitting_polynomials": [[3398, 0, 729, 0, 48, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 554, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.23.ag_bt_agy", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "number_fields": ["6.0.5241632472.1"], "p": 23, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -6, 45, -180, 1035, -3174, 12167], "poly_str": "1 -6 45 -180 1035 -3174 12167 ", "primitive_models": [], "q": 23, "real_poly": [1, -6, -24, 96], "simple_distinct": ["3.23.ag_bt_agy"], "simple_factors": ["3.23.ag_bt_agyA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.5241632472.1", "splitting_polynomials": [[3398, 0, 729, 0, 48, 0, 1]], "twist_count": 2, "twists": [["3.23.g_bt_gy", "3.529.cc_cwl_crno", 2]]}