# Stored data for abelian variety isogeny class 3.13.c_l_ae, downloaded from the LMFDB on 19 October 2025.
{"abvar_count": 2688, "abvar_counts": [2688, 5419008, 10273592448, 23726758035456, 51351632897728128, 112490563747313332224, 247006996233281850910848, 542752154939544014193426432, 1192546603827784225707561415296, 2619971697859409715728999937159168], "abvar_counts_str": "2688 5419008 10273592448 23726758035456 51351632897728128 112490563747313332224 247006996233281850910848 542752154939544014193426432 1192546603827784225707561415296 2619971697859409715728999937159168 ", "angle_corank": 1, "angle_rank": 2, "angles": [0.237745206150638, 0.589456187511033, 0.762254793849362], "center_dim": 6, "curve_count": 16, "curve_counts": [16, 188, 2128, 29084, 372496, 4828316, 62733904, 815657660, 10604617744, 137857231868], "curve_counts_str": "16 188 2128 29084 372496 4828316 62733904 815657660 10604617744 137857231868 ", "curves": ["y^2=2*x^7+8*x^6+2*x^5+12*x^4+8*x^3+8*x^2+12*x", "y^2=2*x^7+8*x^6+8*x^5+6*x^4+9*x^3+9*x^2+10*x", "y^2=x^7+x^6+10*x^5+6*x^4+5*x^3+11*x^2+5*x", "y^2=2*x^7+8*x^6+x^3+2*x", "y^2=2*x^7+10*x^6+3*x^5+8*x^4+11*x^3+2*x^2+3*x", "y^2=x^7+x^6+7*x^5+5*x^4+x^3+7*x^2+4*x", "y^2=x^7+6*x^6+3*x^5+x^4+x^3+3*x^2+6*x+1", "y^2=x^7+2*x^6+7*x^5+4*x^3+4*x^2+6", "y^2=2*x^7+2*x^6+4*x^5+2*x^4+10*x^3+8*x^2+8*x", "y^2=2*x^7+6*x^6+6*x^5+6*x^4+12*x^3+11*x^2+3*x", "y^2=2*x^7+12*x^6+4*x^5+11*x^4+10*x^3+8*x^2+8*x+9", "y^2=2*x^7+4*x^6+8*x^5+x^4+x^3+11*x+1", "y^2=x^7+2*x^6+9*x^5+7*x^4+9*x^3+11*x^2+11*x+4", "y^2=2*x^8+10*x^7+8*x^6+7*x^5+10*x^4+10*x^3+9*x^2+12*x+10", "y^2=x^8+2*x^7+x^6+6*x^5+9*x^4+4*x^3+6*x^2+7*x+6", "y^2=x^8+3*x^7+10*x^6+2*x^5+3*x^4+4*x^3+x^2+11*x+3", "y^2=2*x^8+4*x^7+7*x^6+6*x^5+2*x^4+5*x^3+3*x+3", "y^2=2*x^8+10*x^7+9*x^6+4*x^5+10*x^4+8*x^3+10*x^2+2*x+6", "y^2=2*x^8+10*x^7+7*x^6+x^5+10*x^4+5*x^3+x^2+x+9", "y^2=x^8+3*x^7+x^6+8*x^5+x^4+9*x^3+x^2+9*x+12", "y^2=2*x^7+8*x^6+4*x^4+4*x^3+10*x^2+3*x+3", "y^2=2*x^8+7*x^6+x^4+2*x^2+1", "y^2=2*x^8+4*x^7+12*x^6+9*x^5+x^4+x^3+12*x^2+2*x+2", "y^2=2*x^8+8*x^6+x^4+4*x^2+10", "y^2=x^8+12*x^7+11*x^6+8*x^5+2*x^4+5*x^3+x+10", "y^2=x^8+5*x^7+10*x^6+5*x^5+3*x^4+11*x^3+2*x^2+x+4", "y^2=2*x^8+8*x^7+5*x^6+9*x^5+2*x^4+7*x^3+3*x^2+4*x+3", "y^2=2*x^8+3*x^7+8*x^5+6*x^4+4*x^3+5*x^2+7*x", "y^2=2*x^8+x^7+9*x^6+7*x^5+5*x^4+10*x^3+5*x^2+11*x+12", "y^2=x^7+10*x^6+2*x^5+3*x^4+5*x^3+7*x^2+4*x+11", "y^2=x^8+9*x^7+8*x^6+x^5+11*x^4+2*x^3+2*x^2+7*x", "y^2=x^8+7*x^5+3*x^4+7*x^3+9*x^2+2*x", "y^2=2*x^8+9*x^7+8*x^6+4*x^5+10*x^4+5*x^3+7*x^2+6*x+10", "y^2=2*x^8+7*x^7+4*x^6+5*x^5+x^4+12*x^2+5*x+3", "y^2=x^8+12*x^7+5*x^6+10*x^5+3*x^4+7*x^3+11*x^2+5*x+6", "y^2=x^8+9*x^7+5*x^6+3*x^5+7*x^4+4*x^3+2*x^2+2*x+9", "y^2=x^8+6*x^6+9*x^5+12*x^4+9*x^3+10*x^2+10*x+12", "y^2=2*x^8+11*x^7+5*x^6+10*x^5+9*x^4+4*x^3+10*x^2+9*x+5", "y^2=x^8+4*x^7+2*x^6+x^5+9*x^4+8*x^2+x+3", "y^2=2*x^8+9*x^7+9*x^6+12*x^5+5*x^4+5*x^2+12*x+12", "y^2=2*x^8+4*x^7+12*x^6+2*x^5+11*x^4+x^3+7*x^2+5*x+11", "y^2=x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+2*x^2+4*x", "y^2=x^8+3*x^7+12*x^6+3*x^5+12*x^4+3*x^3+6*x+9", "y^2=2*x^8+12*x^6+4*x^4+10*x^2+3", "y^2=x^8+x^7+2*x^6+8*x^5+10*x^4+6*x^3+10*x^2+7*x+10", "y^2=2*x^8+5*x^7+4*x^6+7*x^5+5*x^4+9*x^3+x^2+7*x+12", "y^2=x^7+11*x^6+5*x^5+10*x^4+10*x^3+x^2+8*x+12", "y^2=2*x^7+x^6+x^5+12*x^4+6*x^3+5*x^2+6*x+10", "y^2=x^8+7*x^6+3*x^4+4*x^2+11", "y^2=2*x^8+11*x^7+11*x^6+4*x^5+7*x^4+12*x^3+10*x^2+7", "y^2=x^8+2*x^7+11*x^6+11*x^5+3*x^4+4*x^3+3*x^2+10*x+8", "y^2=2*x^8+2*x^7+9*x^6+11*x^5+6*x^4+4*x^3+6*x^2+10*x+3", "y^2=x^8+4*x^6+8*x^4+4", "y^2=x^8+5*x^7+7*x^6+8*x^5+x^4+10*x^3+2*x^2+12*x+3", "y^2=x^8+x^7+9*x^6+8*x^4+3*x^3+2*x^2+9*x+10", "y^2=x^8+2*x^7+9*x^6+12*x^5+11*x^4+5*x^3+5*x^2+x+9", "y^2=x^8+7*x^6+11*x^4+12*x^2+4", "y^2=2*x^8+2*x^7+8*x^6+5*x^5+6*x^4+5*x^3+10*x^2+9*x+7", "y^2=2*x^8+2*x^7+3*x^6+11*x^5+10*x^3+4*x^2+7*x+4", "y^2=x^8+6*x^5+9*x^4+10*x^3+11*x^2+6*x+5", "y^2=2*x^8+2*x^7+10*x^6+8*x^5+4*x^4+4*x^3+4*x^2+9*x+1", "y^2=x^8+11*x^6+4*x^5+11*x^4+11*x^3+2*x^2+4*x+6", "y^2=x^8+x^7+2*x^6+12*x^5+x^4+11*x^3+10*x^2+6*x+11", "y^2=x^8+11*x^6+2*x^4+10", "y^2=x^8+8*x^6+4*x^5+2*x^4+7*x^3+11*x^2+4*x+12", "y^2=2*x^8+2*x^7+7*x^6+4*x^5+3*x^4+11*x^3+12*x^2+7*x+3", "y^2=x^8+6*x^6+5*x^4+9*x^2+12", "y^2=2*x^7+10*x^6+8*x^5+11*x^4+6*x^2+2*x", "y^2=x^7+3*x^6+11*x^5+x^4+9*x^3+6*x^2+10*x+11", "y^2=2*x^7+2*x^6+10*x^5+7*x^4+4*x^2+12*x+1", "y^2=2*x^7+4*x^6+10*x^5+8*x^4+10*x^3+7*x+10", "y^2=2*x^7+4*x^6+x^5+8*x^4+2*x^3+5*x^2+9*x+10", "y^2=x^7+9*x^6+5*x^5+4*x^4+12*x^3+11*x^2+2*x+11", "y^2=2*x^7+12*x^6+11*x^5+4*x^4+8*x^3+2*x^2+2*x+12", "y^2=x^8+9*x^7+12*x^6+7*x^5+2*x^3+7*x+1", "y^2=x^8+10*x^7+5*x^6+3*x^5+3*x^4+x^3+3*x^2+11*x+2", "y^2=x^8+11*x^7+3*x^6+12*x^5+8*x^4+7*x^3+9*x^2+12*x+2", "y^2=x^8+3*x^7+9*x^6+x^5+10*x^4+x^3+8*x^2+4*x+2", "y^2=x^8+9*x^7+6*x^6+2*x^5+7*x^4+11*x^3+11*x^2+11*x+10", "y^2=2*x^8+9*x^6+7*x^5+10*x^4+11*x^3+6*x^2+12*x+4", "y^2=x^8+x^7+9*x^6+8*x^5+7*x^4+3*x^3+10*x^2+8*x+3", "y^2=2*x^8+9*x^7+5*x^6+6*x^5+12*x^4+5*x^2+7*x+2", "y^2=x^8+4*x^6+x^5+10*x^4+9*x^3+8*x^2+11*x+3", "y^2=x^8+10*x^7+11*x^5+9*x^3+2*x+3", "y^2=x^8+6*x^7+6*x^6+5*x^5+10*x^4+6*x^3+11*x^2+3*x+12", "y^2=2*x^8+2*x^7+6*x^6+5*x^5+9*x^4+10*x^3+11*x+11", "y^2=2*x^8+3*x^7+7*x^4+4*x^3+4*x^2+11*x+1", "y^2=2*x^8+12*x^7+8*x^6+4*x^5+8*x^4+5*x^3+11*x^2+10*x+4", "y^2=2*x^8+10*x^7+4*x^6+12*x^5+11*x^4+11*x^3+8*x^2+11*x+3", "y^2=x^8+4*x^7+8*x^6+3*x^5+6*x^4+7*x^3+6*x^2+11*x+3", "y^2=2*x^8+9*x^6+10*x^5+2*x^4+2*x^3+9*x^2+7*x", "y^2=x^8+5*x^7+9*x^6+x^5+8*x^3+3*x^2+6*x+9", "y^2=x^8+8*x^7+9*x^6+2*x^5+8*x^4+2*x^3+10*x^2+6*x+7", "y^2=x^8+5*x^7+x^5+2*x^4+2*x^3+7*x^2+9*x+12", "y^2=x^8+5*x^6+4*x^4+x^3+9*x^2+7*x+4", "y^2=2*x^8+11*x^7+9*x^6+9*x^5+6*x^4+6*x^3+5*x^2+9*x+11", "y^2=2*x^8+6*x^7+8*x^6+9*x^5+12*x^4+3*x^3+11*x^2+9*x+10", "y^2=2*x^8+9*x^7+8*x^6+x^5+4*x^4+3*x^3+6*x^2+8*x+10", "y^2=2*x^8+x^7+6*x^6+2*x^5+2*x^4+7*x^3+12*x^2+x+10", "y^2=x^8+10*x^6+10*x^5+9*x^4+6*x^3+x^2+12*x+12", "y^2=x^8+3*x^7+2*x^6+x^5+6*x^4+8*x^3+7*x^2+x+9", "y^2=2*x^7+2*x^6+4*x^5+6*x^4+9*x^3+11*x^2+6", "y^2=x^8+6*x^7+6*x^6+5*x^5+x^4+9*x^3+5*x^2+5*x+11", "y^2=x^8+3*x^7+12*x^6+4*x^5+8*x^4+5*x^3+5*x^2+1", "y^2=x^8+12*x^7+6*x^6+12*x^5+4*x^4+4*x^3+8*x^2+x+7", "y^2=2*x^8+12*x^7+4*x^6+11*x^5+x^4+6*x^3+12*x^2+3*x+5", "y^2=2*x^8+x^7+5*x^6+12*x^5+2*x^4+3*x^2+x", "y^2=x^8+6*x^7+5*x^6+5*x^5+12*x^4+4*x^3+11*x^2+2", "y^2=x^7+10*x^6+2*x^5+12*x^4+5*x^3+9*x^2+3*x+11", "y^2=2*x^8+5*x^7+2*x^6+11*x^5+6*x^4+10*x^3+3*x^2+9*x+4", "y^2=x^8+11*x^6+11*x^5+11*x^4+3*x^3+6*x^2+9*x+11", "y^2=2*x^8+6*x^7+5*x^6+5*x^5+12*x^4+2*x^2+12*x+9", "y^2=2*x^7+2*x^6+6*x^5+4*x^4+x^3+2*x^2+8*x+10", "y^2=2*x^8+x^7+3*x^6+12*x^5+10*x^4+2*x^3+9*x^2+3*x+12", "y^2=x^7+10*x^6+11*x^5+2*x^4+9*x^3+8*x^2+5*x+5", "y^2=x^8+4*x^7+7*x^6+10*x^5+10*x^4+8*x^3+10*x^2+x+1", "y^2=2*x^8+5*x^6+2*x^5+8*x^4+12*x^3+4*x^2+11*x+9", "y^2=2*x^8+6*x^6+3*x^5+10*x^4+4*x^3+8*x^2+6*x+3", "y^2=2*x^8+11*x^7+8*x^6+2*x^5+3*x^4+x^3+6*x^2+2*x", "y^2=2*x^7+7*x^6+12*x^5+12*x^4+3*x^3+2*x^2+5*x+10", "y^2=2*x^8+x^6+5*x^5+9*x^4+x^3+6*x^2+6*x+8", "y^2=x^8+3*x^7+3*x^6+5*x^5+11*x^4+5*x^3+3*x^2+12*x+4", "y^2=2*x^8+x^7+10*x^6+9*x^5+12*x^3+3*x^2+9*x+6", "y^2=x^8+x^7+7*x^6+2*x^5+5*x^4+2*x^3+6*x^2+8*x+11", "y^2=x^8+x^7+3*x^6+7*x^5+3*x^4+2*x^3+2*x^2+2*x+5", "y^2=2*x^8+8*x^7+4*x^6+7*x^5+6*x^4+11*x^3+7*x^2+4*x", "y^2=x^8+12*x^7+8*x^6+6*x^5+8*x^3+6*x^2+12*x+12", "y^2=x^8+6*x^7+2*x^6+3*x^5+11*x^4+3*x^3+6*x^2+3*x+8", "y^2=x^8+4*x^7+11*x^6+4*x^5+12*x^4+7*x^2+2*x", "y^2=x^8+10*x^7+3*x^6+8*x^5+11*x^4+4*x^3+8*x^2+7*x+7", "y^2=x^7+10*x^6+11*x^5+5*x^4+11*x^3+12*x^2+3*x+10", "y^2=x^8+4*x^7+3*x^6+6*x^5+x^4+8*x^3+6*x^2+7*x+1", "y^2=2*x^8+3*x^7+x^6+2*x^5+6*x^4+3*x^3+5*x^2+10*x+4", "y^2=2*x^8+11*x^7+12*x^6+3*x^5+11*x^4+3*x^3+2*x^2+2*x+7", "y^2=x^8+9*x^7+11*x^6+11*x^5+8*x^3+5*x^2+6*x+12", "y^2=x^8+8*x^7+10*x^6+3*x^5+3*x^4+11*x^3+9*x^2+6*x+2", "y^2=x^8+9*x^7+10*x^6+5*x^5+6*x^4+8*x^3+12*x^2+12*x+11", "y^2=2*x^8+7*x^7+8*x^6+11*x^5+10*x^4+11*x^3+2*x^2+10*x+10", "y^2=x^8+2*x^7+12*x^6+7*x^5+12*x^4+5*x^3+4*x^2+2*x+1", "y^2=2*x^8+7*x^6+5*x^5+9*x^4+9*x^3+12*x^2+6*x+4", "y^2=2*x^8+7*x^7+11*x^6+9*x^5+2*x^4+2*x^3+12*x^2+8*x+1", "y^2=2*x^8+4*x^7+9*x^6+9*x^5+8*x^4+5*x^3+x^2+8*x+7", "y^2=x^8+8*x^6+7*x^5+x^4+8*x^3+11*x^2+11*x+3", "y^2=2*x^8+x^7+5*x^6+7*x^5+x^4+2*x^3+2*x^2+3*x+4", "y^2=2*x^8+4*x^7+7*x^6+12*x^5+10*x^4+4*x^3+x^2+11*x+3", "y^2=2*x^8+8*x^7+10*x^6+4*x^5+6*x^4+9*x^3+7*x^2+5*x+9", "y^2=2*x^8+4*x^7+12*x^6+8*x^5+9*x^4+9*x^3+7*x^2+3*x+1", "y^2=x^8+5*x^7+10*x^6+7*x^5+x^4+3*x^2+6*x+9", "y^2=x^8+11*x^7+12*x^6+2*x^5+3*x^4+8*x^3+3*x^2+10*x+5", "y^2=2*x^8+8*x^7+12*x^6+7*x^5+7*x^4+7*x^3+x^2+2*x+5", "y^2=x^8+5*x^7+6*x^6+11*x^5+3*x^4+9*x^3+2*x^2+10", "y^2=x^8+11*x^7+2*x^6+8*x^5+8*x^4+4*x^3+10*x^2+9", "y^2=x^8+4*x^7+2*x^6+2*x^4+8*x^3+9*x^2+4*x+1", "y^2=x^8+4*x^6+5*x^5+2*x^4+5*x^3+6*x^2+11*x+12", "y^2=2*x^8+9*x^7+8*x^6+7*x^5+3*x^4+8*x^2+4*x+4", "y^2=2*x^8+6*x^7+11*x^6+12*x^5+6*x^4+11*x^3+5*x^2+9*x+6", "y^2=x^8+7*x^7+x^6+6*x^5+10*x^4+8*x^3+3*x^2+10*x+8", "y^2=2*x^8+11*x^7+12*x^6+2*x^5+7*x^4+6*x^3+x^2+7*x+1", "y^2=2*x^8+7*x^7+9*x^4+11*x^3+7*x^2+3*x+2", "y^2=x^8+11*x^7+x^6+6*x^5+x^4+10*x^3+4*x^2+8*x+8", "y^2=x^8+9*x^7+7*x^6+8*x^5+3*x^4+9*x^3+7*x^2+10*x+2", "y^2=x^8+10*x^7+9*x^5+7*x^3+9*x^2+8*x+7", "y^2=x^8+11*x^7+4*x^6+10*x^5+6*x^4+9*x^3+3*x^2+12*x+11", "y^2=2*x^8+7*x^7+10*x^6+7*x^5+12*x^4+8*x^3+2*x^2+12*x+9", "y^2=x^8+11*x^7+5*x^6+4*x^5+x^4+7*x^3+9*x^2+10*x+7", "y^2=2*x^8+x^7+6*x^6+5*x^5+8*x^4+5*x^3+9*x^2+6", "y^2=x^8+8*x^7+12*x^5+11*x^4+6*x^3+6*x^2+8*x+5", "y^2=x^8+11*x^6+6*x^5+12*x^3+5*x^2+3", "y^2=x^8+6*x^7+8*x^6+3*x^5+11*x^4+6*x^3+6*x^2+9*x+3", "y^2=x^8+x^7+2*x^6+5*x^5+9*x^4+2*x^3+x^2+7*x+10", "y^2=2*x^8+9*x^7+2*x^6+4*x^5+7*x^4+8*x^3+2*x^2+2*x+2", "y^2=2*x^8+10*x^7+9*x^6+12*x^5+2*x^4+5*x^3+x^2+8*x+2", "y^2=x^8+2*x^7+12*x^6+4*x^5+x^4+2*x^3+8*x^2+3*x+1", "y^2=x^8+9*x^7+9*x^6+12*x^5+7*x^4+7*x^3+12*x^2+9*x+4", "y^2=2*x^8+7*x^7+4*x^6+8*x^5+5*x^4+6*x^3+10*x^2+12", "y^2=x^8+10*x^7+3*x^6+7*x^5+x^4+10*x^3+6*x+3", "y^2=2*x^8+10*x^7+4*x^6+x^5+3*x^4+7*x^3+4*x+10", "y^2=x^8+7*x^7+3*x^6+7*x^4+8*x^3+4*x+7", "y^2=x^8+8*x^7+9*x^6+12*x^5+9*x^4+7*x^3+5*x^2+12*x+6", "y^2=x^8+3*x^7+4*x^6+8*x^5+8*x^4+12*x^3+5*x^2+10", "y^2=x^8+x^7+2*x^5+6*x^4+3*x^3+4*x^2+6*x+6", "y^2=2*x^8+4*x^7+8*x^6+8*x^5+10*x^4+10*x^3+9*x^2+3*x+8", "y^2=2*x^8+8*x^7+2*x^6+11*x^5+10*x^4+9*x^3+4*x^2+12", "y^2=x^8+8*x^7+8*x^5+7*x^4+3*x^3+12*x+3", "y^2=2*x^8+12*x^7+x^6+5*x^5+4*x^4+4*x^3+x^2+8*x+5", "y^2=2*x^8+7*x^7+6*x^6+x^5+10*x^4+3*x^3+12*x^2+3*x+6", "y^2=2*x^8+9*x^7+2*x^6+4*x^4+4*x^2+5*x+1", "y^2=2*x^8+8*x^6+12*x^5+4*x^4+6*x^3+11*x^2+9*x+12", "y^2=x^8+3*x^7+2*x^6+9*x^5+11*x^4+12*x^3+9*x^2+x+8", "y^2=x^8+2*x^7+11*x^6+4*x^5+8*x^4+x^3+11*x^2+3*x+10", "y^2=x^8+5*x^7+8*x^6+9*x^5+9*x^4+8*x^3+x^2+2*x+1", "y^2=x^8+10*x^7+5*x^6+2*x^5+x^4+7*x^3+10*x^2+7*x+3", "y^2=x^8+3*x^7+6*x^6+5*x^5+5*x^4+3*x^3+2*x^2+3*x+9", "y^2=2*x^8+9*x^7+6*x^6+6*x^5+8*x^4+5*x^3+4*x^2+9*x+6", "y^2=x^8+6*x^7+12*x^6+5*x^5+x^4+10*x+9", "y^2=x^8+9*x^7+3*x^6+8*x^5+7*x^4+5*x^2+12*x+11", "y^2=x^8+6*x^7+10*x^6+x^5+5*x^4+12*x^3+3*x^2+12*x+4", "y^2=x^8+8*x^7+11*x^6+11*x^4+5*x^3+8*x^2+8*x+7", "y^2=x^8+6*x^7+11*x^6+11*x^5+4*x^4+6*x^2+11*x+4", "y^2=2*x^8+12*x^7+4*x^6+8*x^5+6*x^4+6*x^3+2*x+4", "y^2=x^8+7*x^7+4*x^6+x^4+9*x^3+5*x+6", "y^2=x^8+3*x^7+2*x^6+3*x^5+x^4+9*x^3+3*x^2+3*x+2", "y^2=x^8+x^7+6*x^6+4*x^5+5*x^4+5*x^3+9*x+11", "y^2=x^8+12*x^7+11*x^6+10*x^5+3*x^4+2*x^3+12*x^2+3*x+10", "y^2=x^8+8*x^6+x^4+4*x^3+4*x^2+5*x+7", "y^2=x^8+2*x^7+12*x^6+10*x^5+6*x^4+3*x^3+11*x^2+6*x+8", "y^2=2*x^8+3*x^7+8*x^6+12*x^5+6*x^3+7*x^2+3*x+1", "y^2=2*x^8+8*x^7+8*x^6+8*x^4+6*x^3+11*x^2+7*x+3", "y^2=x^8+4*x^7+9*x^6+3*x^5+7*x^4+6*x^3+7*x^2+10*x+1", "y^2=x^8+7*x^7+2*x^6+2*x^5+6*x^4+3*x^3+7*x^2+7", "y^2=x^8+x^7+4*x^6+7*x^5+x^4+4*x^3+3*x^2+11*x+2", "y^2=2*x^8+7*x^6+x^4+4*x^3+3*x^2+7*x+1", "y^2=x^8+5*x^7+10*x^6+12*x^5+x^4+12*x^3+5*x^2+x+1", "y^2=x^8+10*x^7+11*x^6+9*x^5+2*x^4+8*x^3+10*x^2+7*x+1", "y^2=x^8+12*x^7+12*x^6+11*x^5+12*x^4+5*x^3+12*x^2+10*x+2", "y^2=x^8+10*x^7+11*x^6+6*x^5+2*x^4+2*x^3+x^2+12*x+3", "y^2=2*x^8+6*x^7+4*x^6+11*x^5+4*x^4+7*x^3+5*x^2+2*x+8", "y^2=2*x^8+4*x^5+8*x^4+7*x+12", "y^2=2*x^8+2*x^7+8*x^6+4*x^5+8*x^4+2*x^3+5*x^2+11*x+7", "y^2=x^8+2*x^7+8*x^6+5*x^5+11*x^4+2*x^3+10*x^2+12*x+10", "y^2=x^8+4*x^7+4*x^6+4*x^5+12*x^4+5*x^3+10*x^2+4*x+7", "y^2=x^8+3*x^7+7*x^6+5*x^5+8*x^4+x^3+8*x^2+11*x+6", "y^2=2*x^8+3*x^7+8*x^6+x^5+4*x^4+9*x^3+8*x^2+9*x+4", "y^2=x^8+4*x^7+11*x^6+4*x^5+12*x^4+12*x^2+12*x+6", "y^2=x^8+8*x^7+3*x^6+7*x^5+10*x^4+4*x^3+4*x^2+7*x+3", "y^2=x^8+9*x^7+2*x^6+10*x^5+2*x^4+8*x^3+9*x^2+3*x+9", "y^2=2*x^8+11*x^7+2*x^6+12*x^5+11*x^4+7*x^3+2*x^2+5*x+3", "y^2=x^8+8*x^7+4*x^6+8*x^5+4*x^4+10*x^3+7*x^2+7*x+2", "y^2=x^8+5*x^7+12*x^6+2*x^5+x^4+x^3+10*x^2+4*x+6", "y^2=x^8+9*x^7+x^6+x^5+x^4+6*x^3+11*x^2+5*x+12", "y^2=2*x^8+2*x^7+12*x^6+3*x^5+8*x^3+9*x^2+2*x+10", "y^2=2*x^8+7*x^7+2*x^6+8*x^5+11*x^4+6*x^3+9*x+4", "y^2=2*x^8+8*x^7+9*x^6+10*x^5+3*x^4+3*x^3+4*x^2+3*x+12", "y^2=2*x^8+3*x^6+6*x^5+10*x^4+5*x^3+2*x^2+2*x+6", "y^2=2*x^8+7*x^7+10*x^6+10*x^5+12*x^4+x^3+11*x^2+2*x+6", "y^2=2*x^8+12*x^7+3*x^6+8*x^5+6*x^4+12*x^3+8*x^2+2*x+9", "y^2=x^8+5*x^7+x^6+4*x^5+12*x^4+9*x^3+7*x^2+11*x+9", "y^2=2*x^8+4*x^7+7*x^6+2*x^5+8*x^4+8*x^3+2*x^2+9*x+3", "y^2=x^8+x^7+10*x^6+5*x^5+5*x^4+7*x^3+7*x^2+12*x+10", "y^2=2*x^8+2*x^7+x^6+8*x^5+2*x^4+12*x^3+6*x^2+x+3", "y^2=x^8+11*x^7+11*x^6+3*x^5+8*x^4+10*x^3+9*x^2+2*x+1", "y^2=2*x^8+5*x^7+9*x^6+5*x^5+5*x^4+2*x^3+9*x^2+11*x+2", "y^2=2*x^8+10*x^5+x^4+11*x^3+3*x^2+5*x+11", "y^2=2*x^8+8*x^7+2*x^6+7*x^5+12*x^4+10*x^3+5*x^2+7*x+1", "y^2=2*x^8+11*x^7+7*x^6+9*x^5+4*x^4+11*x^3+2*x^2+12*x+6", "y^2=2*x^8+6*x^7+2*x^6+12*x^5+9*x^4+12*x^3+x^2+9*x+9", "y^2=x^8+5*x^7+4*x^6+4*x^5+5*x^4+11*x^3+12*x^2+10*x+12", "y^2=x^8+8*x^7+2*x^6+x^5+3*x^4+6*x^3+3*x^2+9*x+1", "y^2=x^8+11*x^7+11*x^6+8*x^5+6*x^4+11*x^3+8*x^2+12*x+8", "y^2=2*x^8+11*x^7+6*x^5+8*x^4+5*x^3+4*x^2+6*x+9", "y^2=x^8+3*x^7+8*x^6+12*x^5+x^4+8*x^3+6*x^2+11*x+12", "y^2=2*x^8+6*x^7+8*x^6+3*x^5+3*x^4+x^3+12*x^2+8*x+10", "y^2=2*x^8+10*x^7+4*x^6+3*x^5+10*x^4+4*x^3+8*x^2+x+4", "y^2=2*x^8+7*x^7+3*x^6+6*x^5+7*x^4+8*x^3+11*x^2+9*x+10", "y^2=x^8+10*x^7+5*x^5+9*x^4+10*x^3+3*x^2+5*x+1", "y^2=x^8+2*x^7+x^6+x^5+8*x^4+9*x^3+6*x^2+10*x+3", "y^2=x^8+x^7+8*x^6+11*x^5+11*x^4+12*x^3+11*x^2+9*x+6", "y^2=x^8+3*x^7+6*x^6+x^5+11*x^4+5*x^3+3*x^2+7*x+1", "y^2=x^8+11*x^6+10*x^5+12*x^4+5*x^3+4*x^2+8*x+5", "y^2=x^8+9*x^7+7*x^6+6*x^5+5*x^4+8*x^3+6*x^2+10*x+11", "y^2=2*x^8+11*x^7+9*x^6+8*x^5+8*x^4+8*x^3+9*x^2+10*x+4", "y^2=x^8+5*x^7+x^5+7*x^4+4*x^3+x^2+10*x+4", "y^2=x^8+9*x^7+x^6+5*x^4+6*x^3+10*x+2", "y^2=2*x^8+7*x^7+11*x^6+11*x^5+6*x^4+6*x^3+12*x^2+8*x+3", "y^2=2*x^8+11*x^6+7*x^5+12*x^4+4*x^3+x^2+8*x+10", "y^2=2*x^8+11*x^7+6*x^6+9*x^5+10*x^4+3*x^3+x^2+2*x+12", "y^2=x^8+x^7+9*x^6+11*x^5+9*x^4+11*x^3+x^2+2*x+6", "y^2=2*x^8+6*x^7+3*x^6+12*x^5+9*x^4+6*x^3+7*x^2+3*x+9", "y^2=x^8+11*x^7+10*x^6+3*x^5+11*x^4+8*x^3+6*x^2+4*x+5", "y^2=2*x^8+5*x^7+10*x^6+3*x^5+12*x^4+7*x^3+11*x^2+4*x+1", "y^2=x^8+10*x^7+9*x^6+3*x^5+9*x^4+4*x^2+9*x+9", "y^2=x^8+7*x^7+9*x^6+10*x^5+10*x^4+6*x^3+12*x^2+9*x+11", "y^2=2*x^8+x^6+3*x^4+6*x^3+6*x^2+12*x+5", "y^2=x^8+8*x^7+x^6+x^5+11*x^4+9*x^3+11*x^2+7*x+2", "y^2=2*x^8+6*x^7+8*x^6+3*x^5+11*x^4+10*x^3+8*x^2+11*x+5", "y^2=2*x^8+8*x^7+10*x^6+6*x^5+5*x^4+x^3+3*x^2+8*x+4", "y^2=2*x^8+x^7+12*x^6+2*x^5+6*x^4+12*x^3+5*x^2+7*x+4", "y^2=2*x^8+2*x^7+2*x^5+10*x^4+5*x^3+10*x^2+10*x+3", "y^2=2*x^8+3*x^7+7*x^6+11*x^5+4*x^4+x^3+7*x^2+x+8", "y^2=2*x^8+2*x^6+9*x^5+3*x^4+12*x^3+10*x^2+3*x+3", "y^2=x^8+x^7+7*x^6+6*x^5+3*x^4+5*x^3+x^2+7*x+11", "y^2=x^8+4*x^7+2*x^6+10*x^5+10*x^4+11*x^3+8*x^2+7*x+4", "y^2=x^8+3*x^7+x^6+6*x^5+9*x^3+9*x^2+x+12", "y^2=2*x^8+6*x^7+10*x^6+5*x^4+12*x^3+10*x^2+9*x+8", "y^2=x^8+11*x^7+4*x^6+3*x^5+6*x^4+6*x^3+5*x+8"], "dim1_distinct": 1, "dim1_factors": 1, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["2T1", "4T2"], "geom_dim1_distinct": 2, "geom_dim1_factors": 3, "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": 4, "geometric_extension_degree": 2, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.3.1", "2.0.168.1"], "geometric_splitting_field": "4.0.28224.6", "geometric_splitting_polynomials": [[196, 0, 14, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 285, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "label": "3.13.c_l_ae", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 4, "newton_elevation": 0, "number_fields": ["2.0.3.1", "4.0.112896.6"], "p": 13, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 2, 11, -4, 143, 338, 2197], "poly_str": "1 2 11 -4 143 338 2197 ", "primitive_models": [], "q": 13, "real_poly": [1, 2, -28, -56], "simple_distinct": ["1.13.c", "2.13.a_ac"], "simple_factors": ["1.13.cA", "2.13.a_acA"], "simple_multiplicities": [1, 1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "8.0.12745506816.4", "splitting_polynomials": [[81, 0, 72, 0, 55, 0, 8, 0, 1]], "twist_count": 12, "twists": [["3.13.ac_l_e", "3.169.s_qh_jdk", 2], ["3.13.ah_l_o", "3.2197.acs_etf_aeaem", 3], ["3.13.f_l_ak", "3.2197.acs_etf_aeaem", 3], ["3.13.ac_p_ae", "3.28561.uc_frnb_bdpvoe", 4], ["3.13.c_p_e", "3.28561.uc_frnb_bdpvoe", 4], ["3.13.af_l_k", "3.4826809.cfy_bfrnvj_btknqtcm", 6], ["3.13.h_l_ao", "3.4826809.cfy_bfrnvj_btknqtcm", 6], ["3.13.ah_p_ao", "3.23298085122481.cgkaoo_ceobxswbfzz_bedxrxgtcvfijsym", 12], ["3.13.af_p_ak", "3.23298085122481.cgkaoo_ceobxswbfzz_bedxrxgtcvfijsym", 12], ["3.13.f_p_k", "3.23298085122481.cgkaoo_ceobxswbfzz_bedxrxgtcvfijsym", 12], ["3.13.h_p_o", "3.23298085122481.cgkaoo_ceobxswbfzz_bedxrxgtcvfijsym", 12]]}