Magma V2.19-8 Tue Aug 20 2013 16:18:41 on localhost [Seed = 4189611253] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2858 geometric_solution 6.08323484 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 1 0 -1 0 0 0 0 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744191176216 0.324826699130 0 3 1 1 0132 2031 2031 1302 0 0 0 0 0 1 0 -1 0 0 1 -1 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 2 -1 -1 0 0 1 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769934773705 0.417290942711 5 0 3 6 0132 0132 0321 0132 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 -1 0 1 0 0 0 0 -1 1 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435502775452 0.663580847594 1 4 2 0 1302 2031 0321 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397744553593 0.238771841748 3 5 0 5 1302 2310 0132 2031 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 1 -1 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743741383753 0.874286916497 2 4 6 4 0132 1302 1230 3201 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743741383753 0.874286916497 6 6 2 5 1302 2031 0132 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 -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 0.662698745567 1.269416378082 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : 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_6' : negation(d['c_0110_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1001_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0110_4'], 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_1001_2']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_1001_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3576708846/1109050943*c_1001_2^13 + 152974673/18181163*c_1001_2^12 - 951259200/85311611*c_1001_2^11 + 52176416991/1109050943*c_1001_2^10 - 10335952323/158435849*c_1001_2^9 + 101346000324/1109050943*c_1001_2^8 - 177151656009/1109050943*c_1001_2^7 + 118687627717/1109050943*c_1001_2^6 - 186273948005/1109050943*c_1001_2^5 + 9524753417/158435849*c_1001_2^4 - 94568627904/1109050943*c_1001_2^3 - 2557116564/1109050943*c_1001_2^2 - 24953978565/1109050943*c_1001_2 - 6418769675/1109050943, c_0011_0 - 1, c_0011_3 - 153618/297253*c_1001_2^13 + 4691/4873*c_1001_2^12 - 166753/297253*c_1001_2^11 + 1766374/297253*c_1001_2^10 - 1457048/297253*c_1001_2^9 + 1391766/297253*c_1001_2^8 - 4338714/297253*c_1001_2^7 - 558676/297253*c_1001_2^6 - 3270598/297253*c_1001_2^5 - 1148998/297253*c_1001_2^4 - 94511/27023*c_1001_2^3 - 841631/297253*c_1001_2^2 - 498579/297253*c_1001_2 - 156760/297253, c_0011_4 - 117609/297253*c_1001_2^13 + 2877/4873*c_1001_2^12 - 20742/297253*c_1001_2^11 + 1233612/297253*c_1001_2^10 - 517518/297253*c_1001_2^9 + 255132/297253*c_1001_2^8 - 2300226/297253*c_1001_2^7 - 2458613/297253*c_1001_2^6 - 1308262/297253*c_1001_2^5 - 2986188/297253*c_1001_2^4 + 21111/27023*c_1001_2^3 - 1216359/297253*c_1001_2^2 - 159254/297253*c_1001_2 - 90432/297253, c_0011_6 + 28299/297253*c_1001_2^13 + 1642/4873*c_1001_2^12 - 410540/297253*c_1001_2^11 + 231784/297253*c_1001_2^10 - 1865045/297253*c_1001_2^9 + 3138112/297253*c_1001_2^8 - 3231665/297253*c_1001_2^7 + 6993793/297253*c_1001_2^6 - 4304074/297253*c_1001_2^5 + 5824920/297253*c_1001_2^4 - 194016/27023*c_1001_2^3 + 1870775/297253*c_1001_2^2 + 227493/297253*c_1001_2 + 183826/297253, c_0101_0 - 66369/297253*c_1001_2^13 + 2188/4873*c_1001_2^12 - 129566/297253*c_1001_2^11 + 824119/297253*c_1001_2^10 - 700335/297253*c_1001_2^9 + 1063077/297253*c_1001_2^8 - 2110516/297253*c_1001_2^7 - 233150/297253*c_1001_2^6 - 2118525/297253*c_1001_2^5 - 771339/297253*c_1001_2^4 - 51357/27023*c_1001_2^3 - 511443/297253*c_1001_2^2 - 425763/297253*c_1001_2 - 257145/297253, c_0110_4 - 39151/297253*c_1001_2^13 + 4781/4873*c_1001_2^12 - 578929/297253*c_1001_2^11 + 971021/297253*c_1001_2^10 - 3129976/297253*c_1001_2^9 + 4023596/297253*c_1001_2^8 - 4891660/297253*c_1001_2^7 + 7894647/297253*c_1001_2^6 - 4403462/297253*c_1001_2^5 + 5629746/297253*c_1001_2^4 - 173173/27023*c_1001_2^3 + 1158660/297253*c_1001_2^2 + 60325/297253*c_1001_2 + 118731/297253, c_1001_2^14 - 2*c_1001_2^13 + 2*c_1001_2^12 - 13*c_1001_2^11 + 12*c_1001_2^10 - 18*c_1001_2^9 + 37*c_1001_2^8 - 7*c_1001_2^7 + 40*c_1001_2^6 + 4*c_1001_2^5 + 18*c_1001_2^4 + 7*c_1001_2^3 + 6*c_1001_2^2 + 3*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB