Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 1107549796] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s128 geometric_solution 4.13840839 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 1 0132 0132 0132 0213 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265002767731 0.556548796596 0 2 3 0 0132 3201 2310 0213 0 0 0 0 0 0 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265002767731 0.556548796596 4 0 1 4 0132 0132 2310 3201 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.386529130074 1.013917682973 5 1 5 0 0132 3201 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.158975738140 0.512862627336 2 2 4 4 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.206497802398 0.356869682414 3 5 3 5 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596215877981 0.245131474607 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 105877595/2584707*c_0101_4^10 + 301350973/2584707*c_0101_4^9 + 385127057/2584707*c_0101_4^8 - 1112838062/2584707*c_0101_4^7 - 444133847/2584707*c_0101_4^6 + 600388215/861569*c_0101_4^5 + 287415823/861569*c_0101_4^4 - 214611105/861569*c_0101_4^3 - 195847796/861569*c_0101_4^2 - 232094854/2584707*c_0101_4 - 47476310/2584707, c_0011_0 - 1, c_0011_3 + 21188725/2584707*c_0101_4^10 - 61176515/2584707*c_0101_4^9 - 77005480/2584707*c_0101_4^8 + 235002364/2584707*c_0101_4^7 + 79051585/2584707*c_0101_4^6 - 128942376/861569*c_0101_4^5 - 48019225/861569*c_0101_4^4 + 53455842/861569*c_0101_4^3 + 34579855/861569*c_0101_4^2 + 38021948/2584707*c_0101_4 + 8424499/2584707, c_0101_0 - 6584250/861569*c_0101_4^10 + 17558070/861569*c_0101_4^9 + 28859822/861569*c_0101_4^8 - 70522874/861569*c_0101_4^7 - 40985905/861569*c_0101_4^6 + 123294984/861569*c_0101_4^5 + 67234679/861569*c_0101_4^4 - 50548322/861569*c_0101_4^3 - 40872718/861569*c_0101_4^2 - 14562134/861569*c_0101_4 - 3417670/861569, c_0101_2 - 10323575/2584707*c_0101_4^10 + 28938145/2584707*c_0101_4^9 + 40066094/2584707*c_0101_4^8 - 111646940/2584707*c_0101_4^7 - 47807528/2584707*c_0101_4^6 + 62162145/861569*c_0101_4^5 + 28029372/861569*c_0101_4^4 - 24748575/861569*c_0101_4^3 - 17541245/861569*c_0101_4^2 - 21239716/2584707*c_0101_4 - 6822452/2584707, c_0101_3 + 22134890/861569*c_0101_4^10 - 69154181/861569*c_0101_4^9 - 61406982/861569*c_0101_4^8 + 250663973/861569*c_0101_4^7 + 19974988/861569*c_0101_4^6 - 377981486/861569*c_0101_4^5 - 72420661/861569*c_0101_4^4 + 146584065/861569*c_0101_4^3 + 82394403/861569*c_0101_4^2 + 31329539/861569*c_0101_4 + 4943880/861569, c_0101_4^11 - 12/5*c_0101_4^10 - 5*c_0101_4^9 + 46/5*c_0101_4^8 + 9*c_0101_4^7 - 16*c_0101_4^6 - 78/5*c_0101_4^5 + 18/5*c_0101_4^4 + 42/5*c_0101_4^3 + 22/5*c_0101_4^2 + 7/5*c_0101_4 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB