# Stored data for abelian variety isogeny class 3.19.i_cf_km, downloaded from the LMFDB on 12 September 2026.
{"abvar_count": 11168, "abvar_counts": [11168, 53963776, 320867618144, 2206988925337600, 15165475402110875168, 104163909273475749489664, 714176837980836760464578528, 4898837186752811719366436454400, 33600604188390250363332201482785952, 230466216456539952263154479557732043776], "abvar_counts_str": "11168 53963776 320867618144 2206988925337600 15165475402110875168 104163909273475749489664 714176837980836760464578528 4898837186752811719366436454400 33600604188390250363332201482785952 230466216456539952263154479557732043776 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.43356132685782, 0.58831632640992, 0.823982815865626], "center_dim": 6, "curve_count": 28, "curve_counts": [28, 412, 6820, 129948, 2473548, 47062396, 893830868, 16983820476, 322687594492, 6131055578332], "curve_counts_str": "28 412 6820 129948 2473548 47062396 893830868 16983820476 322687594492 6131055578332 ", "curves": ["y^2=x^7+x^6+9*x^4+11*x^3+16*x", "y^2=x^7+x^6+10*x^5+18*x^4+11*x^3+15*x^2+x", "y^2=x^7+14*x^6+16*x^5+9*x^4+15*x^3+10*x^2+11*x", "y^2=x^7+18*x^6+6*x^5+2*x^4+16*x^3+16*x^2+17*x", "y^2=18*x^7+17*x^6+12*x^5+13*x^4+7*x^3+16*x^2+12*x", "y^2=x^7+3*x^6+3*x^5+11*x^4+18*x^3+6*x^2+8*x+7", "y^2=18*x^7+11*x^6+14*x^5+6*x^4+11*x^3+10*x^2+9*x+4", "y^2=x^8+16*x^6+5*x^5+5*x^4+6*x^3+3*x^2+5*x+6", "y^2=18*x^8+17*x^7+18*x^6+7*x^5+14*x^4+2*x^3+15*x^2+18*x+14", "y^2=x^7+9*x^6+9*x^5+8*x^4+17*x^3+15*x^2+17*x+4", "y^2=x^8+9*x^6+2*x^5+8*x^4+9*x^2+2*x+7", "y^2=x^8+x^7+14*x^6+5*x^5+7*x^4+x^3+14*x^2+5*x+6", "y^2=18*x^7+15*x^6+3*x^5+10*x^4+17*x^3+4*x^2+16*x+5", "y^2=18*x^8+5*x^7+7*x^5+11*x^4+10*x^3+16*x^2+x+6", "y^2=x^8+2*x^7+10*x^6+7*x^5+17*x^4+17*x^3+12*x^2+18*x+11", "y^2=x^8+6*x^7+5*x^6+7*x^5+11*x^4+14*x^3+6*x^2+2*x+6", "y^2=x^8+14*x^7+15*x^6+4*x^5+12*x^4+15*x^3+12*x^2+5*x+5", "y^2=x^8+10*x^7+13*x^6+12*x^5+6*x^4+4*x^3+18*x^2+5*x", "y^2=18*x^8+14*x^7+10*x^6+4*x^5+12*x^4+5*x^3+5*x^2+17*x", "y^2=x^8+10*x^7+5*x^6+4*x^5+13*x^4+6*x^3+4*x^2+16*x+5", "y^2=x^7+2*x^6+5*x^5+6*x^4+8*x^3+17*x^2+10*x+16", "y^2=18*x^7+4*x^6+9*x^5+8*x^4+17*x^3+16*x^2+4*x+9", "y^2=18*x^8+18*x^7+10*x^6+4*x^5+13*x^4+4*x^3+18*x+1", "y^2=18*x^8+9*x^7+6*x^6+8*x^5+14*x^4+4*x^3+5*x^2+6*x+4", "y^2=18*x^8+17*x^7+18*x^6+4*x^5+16*x^4+14*x^3+7*x^2+15*x+16", "y^2=x^8+11*x^7+5*x^6+11*x^5+9*x^4+4*x^2+17*x+6", "y^2=x^8+11*x^7+8*x^5+17*x^4+12*x^3+9*x^2+14*x+13", "y^2=x^8+11*x^7+13*x^6+15*x^4+6*x^3+12*x^2+6*x+6", "y^2=x^8+x^7+5*x^6+7*x^5+6*x^4+x^3+5*x^2+7*x+5", "y^2=x^8+6*x^7+x^6+17*x^5+13*x^4+6*x^3+x^2+17*x+12", "y^2=x^8+8*x^7+9*x^6+7*x^5+8*x^4+8*x^3+9*x^2+7*x+7", "y^2=18*x^8+12*x^7+13*x^6+5*x^5+18*x^4+12*x^3+13*x^2+5*x", "y^2=x^8+18*x^7+12*x^6+9*x^5+18*x^4+18*x^3+12*x^2+9*x+17", "y^2=x^7+3*x^6+9*x^5+6*x^4+x^3+3*x^2+9*x+6", "y^2=x^8+8*x^7+15*x^6+4*x^5+16*x^4+8*x^3+15*x^2+4*x+15", "y^2=x^8+2*x^7+2*x^6+9*x^5+9*x^4+2*x^3+2*x^2+9*x+8", "y^2=18*x^8+9*x^7+15*x^6+9*x^5+8*x^4+11*x^3+11*x^2+6*x+6", "y^2=18*x^7+14*x^6+6*x^5+6*x^4+10*x^3+x^2+15*x+9", "y^2=x^8+12*x^7+x^6+15*x^5+4*x^3+5*x^2+12*x+4", "y^2=18*x^8+11*x^7+2*x^6+16*x^5+17*x^4+15*x^3+8*x^2+18*x+6", "y^2=x^8+15*x^7+7*x^6+11*x^5+5*x^4+15*x^3+8*x^2+11*x+17", "y^2=x^8+5*x^7+5*x^6+13*x^5+15*x^4+9*x^3+2*x^2+11*x+9", "y^2=18*x^8+18*x^7+7*x^6+3*x^5+15*x^4+4*x^3+10*x^2+7*x+5", "y^2=x^8+5*x^7+4*x^6+15*x^5+4*x^4+x^3+16*x^2+7*x+5", "y^2=x^8+18*x^7+17*x^6+2*x^5+6*x^4+13*x^3+15*x^2+4*x+15", "y^2=x^8+2*x^7+4*x^6+12*x^5+4*x^4+18*x^3+12*x^2+4*x+3", "y^2=18*x^8+12*x^6+13*x^5+6*x^4+11*x^3+6*x^2+13*x+4", "y^2=x^8+6*x^7+18*x^6+14*x^5+18*x^4+14*x^3+9*x^2+6*x+18", "y^2=18*x^8+15*x^7+16*x^6+13*x^5+10*x^4+12*x^3+4*x^2+12*x+9", "y^2=x^8+3*x^7+8*x^6+12*x^5+7*x^4+x^3+8*x+14", "y^2=x^8+4*x^7+13*x^6+16*x^5+11*x^4+14*x^3+12*x^2+17*x+5", "y^2=18*x^8+16*x^7+10*x^6+8*x^5+15*x^4+13*x^3+9*x^2+12*x+3", "y^2=x^8+x^7+15*x^6+9*x^5+2*x^4+7*x^3+9*x^2+14*x+6", "y^2=x^8+8*x^7+2*x^6+7*x^5+3*x^4+x^3+12*x^2+9*x+18", "y^2=x^8+4*x^7+7*x^6+5*x^5+15*x^3+10*x^2+2*x+5", "y^2=18*x^8+18*x^7+17*x^6+12*x^5+2*x^4+5*x^3+2*x^2+8*x+17", "y^2=x^8+x^7+15*x^6+9*x^5+17*x^4+x^3+15*x^2+9*x+16", "y^2=x^8+6*x^6+4*x^5+12*x^4+6*x^2+4*x+11", "y^2=x^8+2*x^7+5*x^6+16*x^5+8*x^4+2*x^3+5*x^2+16*x+7", "y^2=18*x^8+18*x^7+11*x^6+5*x^5+8*x^4+18*x^3+11*x^2+5*x+9", "y^2=x^8+5*x^7+13*x^6+7*x^5+2*x^4+5*x^3+13*x^2+7*x+1", "y^2=18*x^7+3*x^6+10*x^5+10*x^4+7*x^3+15*x^2+9*x+4", "y^2=x^7+16*x^6+3*x^5+13*x^4+18*x^3+16*x^2+1", "y^2=x^7+2*x^6+3*x^5+12*x^4+4*x^3+12*x^2+14*x+1", "y^2=18*x^8+8*x^7+14*x^6+10*x^5+13*x^4+12*x^3+x^2+14*x+5", "y^2=18*x^8+2*x^7+3*x^6+7*x^5+15*x^4+4*x^3+10*x^2+4*x+9", "y^2=x^8+10*x^7+15*x^6+13*x^5+12*x^4+2*x^3+18*x^2+10*x+15", "y^2=18*x^7+18*x^6+7*x^5+7*x^4+x^3+13*x^2+11*x", "y^2=x^8+15*x^7+18*x^6+8*x^4+16*x^3+3*x^2+3*x+4", "y^2=x^8+13*x^7+16*x^6+10*x^5+12*x^4+7*x^3+8*x^2+18*x+3", "y^2=x^8+2*x^7+9*x^6+17*x^5+13*x^3+15*x^2+8*x+9", "y^2=18*x^8+14*x^7+11*x^6+9*x^5+15*x^4+7*x^3+12*x^2+9*x+9", "y^2=x^8+11*x^7+6*x^6+x^5+8*x^4+7*x^3+15*x^2+14*x+4", "y^2=18*x^8+13*x^7+15*x^6+18*x^5+17*x^4+15*x^3+5*x^2+15*x+5", "y^2=18*x^8+6*x^7+x^6+17*x^5+2*x^4+17*x^3+17*x^2+4*x+10", "y^2=x^8+3*x^7+x^6+4*x^5+18*x^4+4*x^3+3*x^2+12*x+9", "y^2=x^8+18*x^7+5*x^6+8*x^5+11*x^4+14*x^3+17*x^2+2*x+17", "y^2=x^8+6*x^7+6*x^6+12*x^5+18*x^4+14*x^3+5*x+4", "y^2=x^7+15*x^6+16*x^5+2*x^4+16*x^3+14*x^2+18*x+9", "y^2=x^8+13*x^7+3*x^6+16*x^5+11*x^4+x^3+10*x^2+3*x+16", "y^2=x^8+16*x^7+12*x^6+x^5+3*x^4+10*x^3+9*x^2+11*x+14", "y^2=x^8+5*x^7+8*x^6+18*x^5+6*x^4+10*x^3+2*x^2+4*x+12", "y^2=x^8+9*x^7+5*x^6+14*x^5+2*x^4+17*x^3+11*x^2+5*x+4", "y^2=18*x^7+13*x^6+15*x^5+9*x^3+17*x^2+17*x+7", "y^2=x^8+17*x^7+5*x^6+4*x^5+5*x^4+17*x^3+x^2+x+17", "y^2=18*x^7+15*x^6+6*x^5+8*x^4+14*x^3+15*x^2+6*x+5", "y^2=x^8+7*x^6+4*x^4+x^3+8*x^2+17*x+7", "y^2=x^8+5*x^7+7*x^6+x^5+15*x^4+7*x^3+9*x^2+16*x+17", "y^2=x^8+12*x^7+10*x^6+3*x^4+10*x^3+9*x^2+3*x+16", "y^2=x^8+18*x^7+11*x^6+2*x^5+2*x^4+14*x^3+9*x^2+12*x+6", "y^2=x^8+6*x^7+10*x^6+18*x^5+9*x^4+15*x^3+7*x^2+16*x+7", "y^2=x^8+18*x^7+8*x^6+13*x^5+2*x^4+11*x^3+11*x^2+8*x+15", "y^2=x^8+10*x^7+13*x^6+9*x^5+3*x^4+14*x^3+13*x^2+10*x", "y^2=18*x^7+3*x^6+15*x^4+18*x^3+9*x^2+17*x+16", "y^2=x^8+10*x^7+16*x^6+3*x^5+12*x^4+12*x^3+5*x^2+6*x+1", "y^2=x^7+7*x^6+17*x^5+16*x^4+8*x^3+17*x^2+15*x+5", "y^2=x^8+14*x^7+10*x^6+x^5+8*x^4+16*x^3+12*x^2+x+6", "y^2=18*x^8+6*x^7+4*x^6+2*x^5+16*x^4+5*x^3+12*x^2+x+16", "y^2=x^8+9*x^7+15*x^6+3*x^5+5*x^4+9*x^3+12*x^2+9*x+1", "y^2=x^8+5*x^7+2*x^6+7*x^5+8*x^4+13*x^3+9*x^2+15*x+6", "y^2=18*x^8+3*x^7+17*x^6+15*x^5+7*x^4+8*x^3+6*x^2+5*x+17", "y^2=x^8+6*x^7+3*x^6+4*x^5+12*x^4+14*x^3+6*x^2+2*x+1", "y^2=x^8+17*x^7+14*x^6+12*x^5+16*x^4+12*x^3+6*x^2+8*x+16", "y^2=x^8+6*x^7+6*x^6+2*x^5+13*x^4+11*x^3+5*x^2+14*x+15", "y^2=x^8+18*x^7+3*x^5+9*x^4+14*x^2+9*x+4", "y^2=18*x^8+10*x^7+14*x^6+18*x^5+13*x^4+10*x^3+14*x^2+16*x+6", "y^2=18*x^8+10*x^7+5*x^6+13*x^5+2*x^4+10*x^3+7*x+12", "y^2=x^8+18*x^7+12*x^6+12*x^5+13*x^4+4*x^3+x^2+7*x+5", "y^2=x^8+17*x^7+2*x^6+8*x^5+5*x^4+13*x^3+15*x^2+4*x+12", "y^2=18*x^8+x^7+5*x^6+15*x^5+11*x^4+9*x^3+4*x^2+15*x+9", "y^2=18*x^8+11*x^7+4*x^6+17*x^5+6*x^4+13*x^3+14*x^2+5*x+1", "y^2=18*x^8+7*x^7+14*x^6+4*x^5+18*x^4+5*x^2+12*x+4", "y^2=x^8+9*x^7+18*x^6+13*x^5+15*x^4+11*x^3+18*x^2+x+17", "y^2=x^8+9*x^6+15*x^5+5*x^4+2*x^3+9*x^2+15*x+6", "y^2=x^8+3*x^7+2*x^6+3*x^5+16*x^4+4*x^3+8*x^2+8*x+17", "y^2=x^8+10*x^7+14*x^6+10*x^5+x^4+17*x^3+10*x^2+9", "y^2=18*x^8+2*x^7+12*x^6+13*x^5+15*x^4+18*x^3+8*x^2+x+16", "y^2=x^8+3*x^7+3*x^6+16*x^5+15*x^4+14*x^3+x^2+18*x+2", "y^2=x^8+11*x^7+10*x^6+18*x^5+8*x^4+4*x^3+9*x^2+4*x+10", "y^2=x^8+10*x^7+17*x^6+3*x^5+4*x^4+12*x^3+10*x^2+3*x+1", "y^2=x^8+7*x^7+14*x^6+10*x^5+7*x^4+13*x^3+16*x^2+6*x+7", "y^2=x^8+11*x^7+10*x^6+13*x^5+13*x^4+7*x^3+13*x^2+12*x+11", "y^2=x^8+14*x^7+15*x^6+9*x^4+16*x^3+4*x^2+12*x+12", "y^2=x^8+2*x^7+8*x^6+18*x^5+2*x^4+11*x^3+x^2+12*x+11", "y^2=18*x^8+x^7+12*x^6+12*x^5+16*x^4+11*x^3+15*x^2+8*x+7", "y^2=x^8+8*x^7+11*x^6+10*x^5+18*x^4+9*x^3+8*x^2+17*x+15", "y^2=x^8+11*x^7+9*x^6+3*x^5+2*x^4+4*x^3+15*x^2+17", "y^2=x^8+9*x^7+11*x^6+16*x^5+17*x^4+5*x^3+7*x^2+13*x+4", "y^2=x^8+5*x^7+16*x^6+10*x^5+7*x^4+14*x^2+11*x+16", "y^2=x^8+10*x^7+15*x^6+8*x^5+17*x^4+10*x^3+13*x^2+4*x+7", "y^2=x^8+11*x^7+9*x^6+12*x^5+7*x^4+12*x^3+x^2+2*x+17", "y^2=18*x^8+5*x^7+16*x^6+18*x^5+15*x^4+14*x^2+9*x+5", "y^2=x^8+4*x^7+13*x^6+5*x^5+4*x^4+13*x^3+18*x^2+16*x+9", "y^2=x^8+5*x^7+7*x^6+13*x^5+5*x^4+9*x^3+17*x^2+17*x+13", "y^2=x^8+10*x^7+15*x^6+4*x^5+12*x^4+14*x^3+5*x^2+13*x+13", "y^2=18*x^8+10*x^7+7*x^6+3*x^5+x^4+13*x^3+4*x^2+17*x+4", "y^2=x^8+5*x^7+17*x^6+17*x^5+4*x^4+12*x^3+14*x+17", "y^2=x^8+13*x^7+14*x^6+4*x^5+3*x^4+12*x^3+13*x^2+8*x+15", "y^2=18*x^8+4*x^7+4*x^6+x^5+9*x^4+8*x^3+15*x^2+2*x+16", "y^2=18*x^8+10*x^6+10*x^5+3*x^4+5*x^3+14*x^2+9*x+5", "y^2=18*x^8+13*x^7+11*x^6+14*x^5+7*x^4+9*x^3+x^2+13*x+17", "y^2=x^8+7*x^7+11*x^6+9*x^5+13*x^4+2*x^3+16*x^2+7*x+11", "y^2=x^8+16*x^7+5*x^6+14*x^5+8*x^4+11*x^3+10*x^2+4", "y^2=18*x^8+8*x^7+16*x^6+13*x^5+3*x^4+17*x^3+15*x^2+9*x+1", "y^2=x^8+7*x^7+3*x^6+9*x^5+2*x^4+17*x^3+18*x^2+5*x+4", "y^2=x^8+17*x^7+11*x^6+9*x^5+17*x^4+16*x^3+8*x^2+2*x+11", "y^2=x^8+8*x^7+5*x^6+16*x^5+17*x^4+3*x^3+15*x^2+4*x+5", "y^2=18*x^8+14*x^7+x^6+6*x^5+7*x^4+15*x^3+x^2+12*x+5", "y^2=x^8+7*x^7+18*x^6+10*x^5+12*x^4+12*x^3+3*x^2+7", "y^2=18*x^8+2*x^7+8*x^6+14*x^5+16*x^4+13*x^3+3*x^2+12*x+16", "y^2=x^8+14*x^7+4*x^6+11*x^5+3*x^4+8*x^3+16*x^2+14*x+6", "y^2=x^8+13*x^7+7*x^6+2*x^5+12*x^4+18*x^3+6*x^2+x+9", "y^2=x^8+11*x^7+17*x^6+x^5+14*x^4+7*x^3+17*x^2+12*x+5", "y^2=18*x^8+18*x^7+18*x^6+13*x^5+8*x^4+14*x^3+10*x^2+18*x+6", "y^2=18*x^8+9*x^7+11*x^6+x^5+17*x^4+9*x^3+4*x^2+5*x+9", "y^2=18*x^8+5*x^7+15*x^6+18*x^5+6*x^4+11*x^3+x^2+18*x+14", "y^2=x^8+2*x^7+13*x^6+17*x^5+10*x^4+8*x^2+15*x+7", "y^2=x^8+18*x^7+18*x^6+4*x^4+14*x^3+3*x^2+16*x+7", "y^2=x^8+4*x^7+3*x^6+17*x^5+9*x^4+15*x^3+14*x^2+10*x+10", "y^2=x^8+2*x^6+10*x^5+14*x^3+10*x^2+3*x+4", "y^2=x^8+15*x^7+16*x^6+15*x^5+14*x^4+7*x^3+2*x^2+8*x+2", "y^2=x^8+3*x^7+18*x^6+10*x^5+14*x^4+4*x^3+6*x^2+7*x+14", "y^2=x^8+7*x^7+17*x^6+5*x^5+2*x^4+7*x^3+4*x^2+7*x+4", "y^2=x^8+11*x^7+14*x^6+16*x^5+2*x^4+16*x^3+4*x^2+18", "y^2=18*x^8+16*x^7+4*x^4+4*x^3+16*x^2+16*x+1", "y^2=x^8+6*x^7+15*x^6+x^5+3*x^4+2*x^3+5*x^2+10*x+12", "y^2=18*x^8+8*x^7+16*x^6+5*x^5+9*x^4+15*x^3+14*x^2+x+7", "y^2=x^8+13*x^7+2*x^6+17*x^5+8*x^4+6*x^3+7*x^2+16*x+4", "y^2=x^8+15*x^7+15*x^6+4*x^5+4*x^4+5*x^3+9*x^2+4*x+17", "y^2=x^8+5*x^7+9*x^6+17*x^5+9*x^4+11*x^3+15*x^2+9*x+18", "y^2=18*x^8+6*x^7+x^6+9*x^5+6*x^4+x^3+15*x^2+16*x+9", "y^2=18*x^8+8*x^7+x^6+6*x^5+7*x^4+16*x^3+4*x^2+13*x+17", "y^2=x^8+3*x^6+16*x^5+14*x^4+2*x^3+10*x^2+13*x+10", "y^2=18*x^8+18*x^7+4*x^6+17*x^5+14*x^4+18*x^3+6*x^2+18*x+3", "y^2=18*x^8+6*x^7+16*x^6+6*x^5+4*x^4+3*x^3+13*x^2+16*x+5", "y^2=18*x^8+12*x^7+2*x^6+10*x^5+3*x^4+13*x^3+17*x+16", "y^2=x^8+4*x^7+10*x^6+7*x^5+12*x^4+10*x^3+4*x^2+2*x+11", "y^2=x^8+14*x^7+12*x^6+10*x^4+9*x^3+15*x^2+18*x+14", "y^2=x^8+2*x^7+6*x^6+2*x^5+14*x^4+15*x^3+3*x^2+13*x+5", "y^2=x^8+16*x^7+9*x^6+10*x^5+18*x^4+3*x^3+15*x^2+4*x+10", "y^2=x^8+3*x^7+15*x^6+17*x^5+15*x^4+18*x^3+2*x^2+9*x+1", "y^2=18*x^8+17*x^7+15*x^6+6*x^5+13*x^4+11*x^2+15*x+6", "y^2=18*x^8+3*x^7+10*x^6+15*x^5+14*x^4+10*x^3+6*x^2+10*x+6", "y^2=x^8+10*x^7+6*x^6+8*x^5+12*x^4+18*x^3+13*x^2+14*x+17", "y^2=x^8+10*x^7+17*x^6+2*x^5+7*x^4+8*x^3+6*x^2+13*x+16", "y^2=18*x^8+17*x^7+5*x^6+11*x^5+13*x^4+6*x^3+4*x+3", "y^2=18*x^8+5*x^7+5*x^5+5*x^4+10*x^3+12*x^2+x+12", "y^2=18*x^8+12*x^7+6*x^6+x^5+17*x^4+8*x^3+18*x^2+10*x+11", "y^2=x^8+17*x^7+4*x^6+14*x^5+3*x^4+9*x^3+12*x^2+2*x+7", "y^2=x^8+18*x^5+5*x^4+7*x^3+x^2+8*x+11", "y^2=18*x^8+16*x^7+17*x^6+4*x^5+11*x^4+16*x^3+11*x^2+7*x+9", "y^2=x^8+7*x^7+4*x^6+12*x^5+10*x^3+17*x^2+15*x+4", "y^2=x^8+5*x^7+6*x^6+2*x^5+2*x^3+4*x^2+12*x+17", "y^2=18*x^8+13*x^7+18*x^6+8*x^5+9*x^3+15*x^2+16*x+9", "y^2=x^8+4*x^7+13*x^6+9*x^5+3*x^4+15*x^3+4*x^2+13*x+7", "y^2=x^8+9*x^7+13*x^6+12*x^5+6*x^4+15*x^3+4*x^2+9", "y^2=18*x^8+7*x^7+15*x^6+12*x^5+2*x^4+x^3+6*x^2+6*x+1", "y^2=18*x^8+6*x^7+2*x^6+5*x^5+6*x^4+7*x^3+6*x^2+7*x+4", "y^2=18*x^8+8*x^7+10*x^6+7*x^5+4*x^4+2*x^2+15*x+4", "y^2=x^8+14*x^7+3*x^6+4*x^5+17*x^4+15*x^3+14*x^2+14", "y^2=18*x^8+14*x^7+8*x^6+5*x^4+8*x^3+3*x^2+7*x+18", "y^2=x^8+3*x^7+6*x^6+8*x^5+16*x^4+3*x^2+12*x+4", "y^2=x^8+x^7+18*x^6+14*x^5+16*x^4+11*x^3+x^2+12", "y^2=x^8+9*x^7+6*x^6+8*x^5+10*x^4+8*x^3+17*x^2+2*x+17", "y^2=x^8+12*x^7+4*x^6+3*x^5+18*x^3+x^2+8*x+17", "y^2=18*x^8+5*x^7+12*x^6+2*x^5+14*x^4+9*x^3+14*x^2+10*x+17", "y^2=18*x^8+11*x^7+15*x^6+8*x^5+18*x^4+9*x^3+16*x^2+4*x+8", "y^2=18*x^8+4*x^7+17*x^6+5*x^5+17*x^4+x^3+x^2+5*x+5", "y^2=x^8+7*x^7+18*x^6+17*x^5+11*x^4+9*x^3+2*x+9", "y^2=x^8+15*x^6+10*x^5+x^3+2*x^2+6*x+16", "y^2=x^8+17*x^7+15*x^6+9*x^5+9*x^4+5*x^3+9*x^2+12*x+6", "y^2=18*x^8+7*x^7+16*x^5+18*x^4+6*x^3+6*x^2+3*x+11", "y^2=18*x^8+6*x^7+7*x^6+13*x^5+6*x^4+17*x^3+8*x^2+16*x+1", "y^2=x^8+4*x^7+2*x^6+13*x^5+9*x^4+12*x^3+7*x^2+6*x+1", "y^2=18*x^8+5*x^7+13*x^6+13*x^5+2*x^4+2*x^3+10*x^2+9*x+8", "y^2=18*x^8+3*x^7+9*x^6+4*x^5+5*x^4+7*x^3+7*x^2+9*x+13", "y^2=x^8+5*x^7+2*x^6+13*x^5+5*x^4+8*x^3+13*x^2+5*x+17", "y^2=18*x^8+3*x^7+9*x^6+6*x^5+3*x^4+9*x^3+15*x^2+18*x+16", "y^2=18*x^8+4*x^7+12*x^6+x^5+x^4+8*x^3+5*x^2+9*x+10"], "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": ["6.0.5870272.1"], "geometric_splitting_field": "6.0.5870272.1", "geometric_splitting_polynomials": [[10, 2, 12, -4, 4, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 219, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.19.i_cf_km", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["6.0.5870272.1"], "p": 19, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 8, 57, 272, 1083, 2888, 6859], "poly_str": "1 8 57 272 1083 2888 6859 ", "primitive_models": [], "q": 19, "real_poly": [1, 8, 0, -32], "simple_distinct": ["3.19.i_cf_km"], "simple_factors": ["3.19.i_cf_kmA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.5870272.1", "splitting_polynomials": [[10, 2, 12, -4, 4, 0, 1]], "twist_count": 2, "twists": [["3.19.ai_cf_akm", "3.361.by_box_zdk", 2]]}