Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 1747580047] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1844 geometric_solution 5.49113211 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 -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 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.227968629416 3.662782331873 0 2 4 3 0132 3201 0132 0132 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 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 0.339182342637 0.414481912485 5 4 1 0 0132 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339182342637 0.414481912485 5 4 1 6 2103 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495282510005 0.542562564372 3 5 2 1 1023 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 0 0 0 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 0 0 0 2.549990902132 1.069926277421 2 6 3 4 0132 1023 2103 3201 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495282510005 0.542562564372 5 6 3 6 1023 2310 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515088368868 1.438989054118 ==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' : negation(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_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' : 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' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0011_0']})} 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_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 3988192849/82791105408*c_0101_4^12 - 7969869013/20697776352*c_0101_4^11 - 81500874127/82791105408*c_0101_4^10 + 1067550931/836273792*c_0101_4^9 + 54917820719/20697776352*c_0101_4^\ 8 + 118549098587/41395552704*c_0101_4^7 - 145197715099/82791105408*c_0101_4^6 + 232344755821/27597035136*c_0101_4^5 + 15778863607/7526464128*c_0101_4^4 - 7030165689/574938232*c_0101_4^3 + 43798721123/20697776352*c_0101_4^2 + 4066845895/1293611022*c_0101_4 - 117642070349/82791105408, c_0011_0 - 1, c_0011_2 + 981799/6533389*c_0101_4^12 + 3039890/6533389*c_0101_4^11 - 267380/6533389*c_0101_4^10 - 7098680/6533389*c_0101_4^9 - 12434617/6533389*c_0101_4^8 - 14867004/6533389*c_0101_4^7 - 29450666/6533389*c_0101_4^6 - 45874512/6533389*c_0101_4^5 - 82570/6533389*c_0101_4^4 - 36642438/6533389*c_0101_4^3 - 4488344/6533389*c_0101_4^2 - 15983233/6533389*c_0101_4 - 4830050/6533389, c_0011_3 - 6529025/6533389*c_0101_4^12 - 8026930/6533389*c_0101_4^11 + 18470201/6533389*c_0101_4^10 + 18574038/6533389*c_0101_4^9 + 48300355/6533389*c_0101_4^8 - 5113959/6533389*c_0101_4^7 + 182069349/6533389*c_0101_4^6 - 64702098/6533389*c_0101_4^5 + 70835623/6533389*c_0101_4^4 + 3865361/6533389*c_0101_4^3 + 24368521/6533389*c_0101_4^2 + 19800088/6533389*c_0101_4 - 14800412/6533389, c_0101_0 + 3332145/6533389*c_0101_4^12 + 2731377/6533389*c_0101_4^11 - 12014052/6533389*c_0101_4^10 - 6795540/6533389*c_0101_4^9 - 18767579/6533389*c_0101_4^8 + 14822341/6533389*c_0101_4^7 - 85442144/6533389*c_0101_4^6 + 73102689/6533389*c_0101_4^5 - 21011902/6533389*c_0101_4^4 + 3165041/6533389*c_0101_4^3 + 11006226/6533389*c_0101_4^2 - 10045193/6533389*c_0101_4 + 17410969/6533389, c_0101_1 + 1497905/6533389*c_0101_4^12 + 1116874/6533389*c_0101_4^11 - 5515988/6533389*c_0101_4^10 - 2597180/6533389*c_0101_4^9 - 7944091/6533389*c_0101_4^8 + 7272376/6533389*c_0101_4^7 - 39762302/6533389*c_0101_4^6 + 33628777/6533389*c_0101_4^5 - 10394386/6533389*c_0101_4^4 + 1747579/6533389*c_0101_4^3 + 6316012/6533389*c_0101_4^2 - 4786663/6533389*c_0101_4 + 13062414/6533389, c_0101_2 - c_0101_4, c_0101_4^13 + c_0101_4^12 - 3*c_0101_4^11 - 2*c_0101_4^10 - 7*c_0101_4^9 + 2*c_0101_4^8 - 29*c_0101_4^7 + 16*c_0101_4^6 - 16*c_0101_4^5 + c_0101_4^4 - 4*c_0101_4^3 - 4*c_0101_4^2 + 3*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB