Magma V2.19-8 Tue Aug 20 2013 16:14:17 on localhost [Seed = 4038159568] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s271 geometric_solution 4.44001932 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 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 1.834108500491 0.567660251868 0 2 3 0 3201 0132 0132 0132 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 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 0.485932640742 0.734505772920 4 1 3 3 0132 0132 1302 2031 0 0 0 0 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 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411532040871 0.416634354168 2 2 4 1 2031 1302 0132 0132 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 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 0.411532040871 0.416634354168 2 5 5 3 0132 0132 1023 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 0.745361692579 0.818105086440 5 4 4 5 3012 0132 1023 1230 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 1.763432297512 0.437443654481 ==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_0011_1']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], '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_3, c_0101_0, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 122141986951163/11198141779045*c_0101_5^14 - 22335646518066/861395521465*c_0101_5^13 + 2460121224756691/11198141779045*c_0101_5^12 + 814401333871696/11198141779045*c_0101_5^11 - 10175203614010906/11198141779045*c_0101_5^10 - 6073387718904/172279104293*c_0101_5^9 + 14420454129620828/11198141779045*c_0101_5^8 - 1491104674269688/11198141779045*c_0101_5^7 - 10003161562668386/11198141779045*c_0101_5^6 + 13090607678019691/11198141779045*c_0101_5^5 + 4729443573848952/11198141779045*c_0101_5^4 - 1761745529600079/2239628355809*c_0101_5^3 + 871157145699179/11198141779045*c_0101_5^2 + 954323986794027/11198141779045*c_0101_5 - 502704748203692/11198141779045, c_0011_0 - 1, c_0011_1 - 551825464023/861395521465*c_0101_5^14 - 1324197627098/861395521465*c_0101_5^13 + 11073663992221/861395521465*c_0101_5^12 + 3907627091751/861395521465*c_0101_5^11 - 45629105023606/861395521465*c_0101_5^10 - 569826575477/172279104293*c_0101_5^9 + 63867206094103/861395521465*c_0101_5^8 - 4738731239813/861395521465*c_0101_5^7 - 43014765874311/861395521465*c_0101_5^6 + 57062582323721/861395521465*c_0101_5^5 + 20779491213412/861395521465*c_0101_5^4 - 7604052964763/172279104293*c_0101_5^3 + 2811271589469/861395521465*c_0101_5^2 + 2985324610942/861395521465*c_0101_5 - 1198353337772/861395521465, c_0011_3 - 36356584407/861395521465*c_0101_5^14 - 181857733677/861395521465*c_0101_5^13 + 487524466379/861395521465*c_0101_5^12 + 2090257698439/861395521465*c_0101_5^11 - 2129327791324/861395521465*c_0101_5^10 - 1479103546064/172279104293*c_0101_5^9 + 3008877246772/861395521465*c_0101_5^8 + 8721058020478/861395521465*c_0101_5^7 - 3007356342234/861395521465*c_0101_5^6 - 1787803368596/861395521465*c_0101_5^5 + 10564608520368/861395521465*c_0101_5^4 + 332400770467/172279104293*c_0101_5^3 - 3989652686214/861395521465*c_0101_5^2 + 67897164738/861395521465*c_0101_5 - 272390058128/861395521465, c_0101_0 + 249822277674/861395521465*c_0101_5^14 + 509012764009/861395521465*c_0101_5^13 - 5257854536343/861395521465*c_0101_5^12 - 67203212233/861395521465*c_0101_5^11 + 21734866728133/861395521465*c_0101_5^10 - 1012285773051/172279104293*c_0101_5^9 - 31412618205664/861395521465*c_0101_5^8 + 8907927602699/861395521465*c_0101_5^7 + 22086708329403/861395521465*c_0101_5^6 - 28566404668468/861395521465*c_0101_5^5 - 3139339818006/861395521465*c_0101_5^4 + 3978075208057/172279104293*c_0101_5^3 - 2286216466762/861395521465*c_0101_5^2 - 1218604741761/861395521465*c_0101_5 - 128093262404/861395521465, c_0101_4 - 443624166691/861395521465*c_0101_5^14 - 1072400228461/861395521465*c_0101_5^13 + 8903050954467/861395521465*c_0101_5^12 + 3360703462767/861395521465*c_0101_5^11 - 36986680080422/861395521465*c_0101_5^10 - 676897866218/172279104293*c_0101_5^9 + 52865509483241/861395521465*c_0101_5^8 - 1685826760236/861395521465*c_0101_5^7 - 36900448503017/861395521465*c_0101_5^6 + 44578455606712/861395521465*c_0101_5^5 + 19038390195669/861395521465*c_0101_5^4 - 6443896403953/172279104293*c_0101_5^3 - 376680438922/861395521465*c_0101_5^2 + 3274462162254/861395521465*c_0101_5 - 1037551310474/861395521465, c_0101_5^15 + 2*c_0101_5^14 - 21*c_0101_5^13 + c_0101_5^12 + 85*c_0101_5^11 - 28*c_0101_5^10 - 116*c_0101_5^9 + 55*c_0101_5^8 + 73*c_0101_5^7 - 135*c_0101_5^6 + 4*c_0101_5^5 + 81*c_0101_5^4 - 33*c_0101_5^3 - 2*c_0101_5^2 + 5*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB