Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 324177685] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s616 geometric_solution 5.09954200 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 0.547162329985 0.608200968251 3 2 4 0 0132 3012 0132 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816300978267 0.817962481020 1 3 0 4 1230 3201 0132 2310 0 0 0 0 0 -1 0 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 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 0.816300978267 0.817962481020 1 5 2 5 0132 0132 2310 2310 0 0 0 0 0 0 -1 1 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 -1 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 1.681722661391 0.610801940027 2 4 4 1 3201 1230 3012 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 0.102350503962 0.768015483627 3 3 5 5 3201 0132 2031 1302 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 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516290306448 0.343844590959 ==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' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_4, c_0101_0, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 3803647244/60107707*c_0110_5^15 + 15932744934/60107707*c_0110_5^14 - 44727615673/60107707*c_0110_5^13 + 45846196530/60107707*c_0110_5^12 + 103600836012/60107707*c_0110_5^11 - 231764742153/60107707*c_0110_5^10 + 220959455402/60107707*c_0110_5^9 + 405893863659/60107707*c_0110_5^8 - 702774083399/60107707*c_0110_5^7 - 605796899847/60107707*c_0110_5^6 + 497563995279/60107707*c_0110_5^5 + 534444927600/60107707*c_0110_5^4 + 238438623/60107707*c_0110_5^3 - 155672058612/60107707*c_0110_5^2 - 67225314466/60107707*c_0110_5 - 846157220/5464337, c_0011_0 - 1, c_0011_1 - 39558181/60107707*c_0110_5^15 + 181497871/60107707*c_0110_5^14 - 558596455/60107707*c_0110_5^13 + 771837602/60107707*c_0110_5^12 + 577072757/60107707*c_0110_5^11 - 2544323852/60107707*c_0110_5^10 + 4008001938/60107707*c_0110_5^9 + 1706931856/60107707*c_0110_5^8 - 7230147493/60107707*c_0110_5^7 - 503862021/60107707*c_0110_5^6 + 3137896086/60107707*c_0110_5^5 + 318718101/60107707*c_0110_5^4 + 712908/60107707*c_0110_5^3 - 9361361/60107707*c_0110_5^2 - 37276815/60107707*c_0110_5 - 28285157/60107707, c_0011_4 + 191779015/60107707*c_0110_5^15 - 882280928/60107707*c_0110_5^14 + 2649706452/60107707*c_0110_5^13 - 3547357635/60107707*c_0110_5^12 - 3322258404/60107707*c_0110_5^11 + 12445980704/60107707*c_0110_5^10 - 16745053478/60107707*c_0110_5^9 - 11568667201/60107707*c_0110_5^8 + 37304127600/60107707*c_0110_5^7 + 13557642584/60107707*c_0110_5^6 - 24745945358/60107707*c_0110_5^5 - 15119935453/60107707*c_0110_5^4 + 2576839190/60107707*c_0110_5^3 + 5171551157/60107707*c_0110_5^2 + 1809891467/60107707*c_0110_5 + 254823333/60107707, c_0101_0 + 532562370/60107707*c_0110_5^15 - 2471032835/60107707*c_0110_5^14 + 7446937977/60107707*c_0110_5^13 - 10122855225/60107707*c_0110_5^12 - 8868811140/60107707*c_0110_5^11 + 34837483086/60107707*c_0110_5^10 - 47421933772/60107707*c_0110_5^9 - 30567792256/60107707*c_0110_5^8 + 104741666625/60107707*c_0110_5^7 + 35346998385/60107707*c_0110_5^6 - 6435008531/5464337*c_0110_5^5 - 41833642567/60107707*c_0110_5^4 + 8074024164/60107707*c_0110_5^3 + 1340016826/5464337*c_0110_5^2 + 5343112431/60107707*c_0110_5 + 787385703/60107707, c_0101_1 + 19759530/5464337*c_0110_5^15 - 1012711632/60107707*c_0110_5^14 + 3047215883/60107707*c_0110_5^13 - 4156152102/60107707*c_0110_5^12 - 3623498905/60107707*c_0110_5^11 + 14276164930/60107707*c_0110_5^10 - 19182125239/60107707*c_0110_5^9 - 12452818155/60107707*c_0110_5^8 + 43073979447/60107707*c_0110_5^7 + 15657587270/60107707*c_0110_5^6 - 29892956442/60107707*c_0110_5^5 - 19564999848/60107707*c_0110_5^4 + 3226566726/60107707*c_0110_5^3 + 6948871018/60107707*c_0110_5^2 + 2598752604/60107707*c_0110_5 + 410232706/60107707, c_0110_5^16 - 4*c_0110_5^15 + 11*c_0110_5^14 - 10*c_0110_5^13 - 29*c_0110_5^12 + 55*c_0110_5^11 - 47*c_0110_5^10 - 115*c_0110_5^9 + 161*c_0110_5^8 + 193*c_0110_5^7 - 92*c_0110_5^6 - 165*c_0110_5^5 - 35*c_0110_5^4 + 38*c_0110_5^3 + 28*c_0110_5^2 + 8*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB