Magma V2.19-8 Tue Aug 20 2013 16:14:47 on localhost [Seed = 3431813291] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s768 geometric_solution 5.31817197 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 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 -1 0 1 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492113218964 0.828608427925 3 2 4 0 0132 3012 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 0 0 0 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 0.967886585422 0.989475499657 1 3 0 4 1230 2310 0132 2310 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 0 0 0 0 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967886585422 0.989475499657 1 5 5 2 0132 0132 1023 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 -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 0.678748196377 0.358836510525 2 4 4 1 3201 1230 3012 0132 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 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 0.250236321865 0.532951690199 5 3 3 5 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.097998754084 0.508990855771 ==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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_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' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], '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' : d['c_0101_0'], '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_5'], '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' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], '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_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 147550387/14994375*c_0101_5^14 + 607024019/14994375*c_0101_5^13 - 208045622/14994375*c_0101_5^12 - 1442742596/14994375*c_0101_5^11 + 1231386977/14994375*c_0101_5^10 + 110743492/1363125*c_0101_5^9 - 151369003/999625*c_0101_5^8 - 28109376/454375*c_0101_5^7 - 202025971/4998125*c_0101_5^6 + 393764889/4998125*c_0101_5^5 + 66362786/1363125*c_0101_5^4 - 636662024/2998875*c_0101_5^3 - 679879097/14994375*c_0101_5^2 + 320348051/2998875*c_0101_5 + 600253814/14994375, c_0011_0 - 1, c_0011_1 - 20408/90875*c_0101_5^14 - 66596/90875*c_0101_5^13 + 96173/90875*c_0101_5^12 + 163164/90875*c_0101_5^11 - 302443/90875*c_0101_5^10 + 48342/90875*c_0101_5^9 + 66116/18175*c_0101_5^8 - 177853/90875*c_0101_5^7 + 167667/90875*c_0101_5^6 - 339978/90875*c_0101_5^5 + 6786/90875*c_0101_5^4 + 89811/18175*c_0101_5^3 - 328977/90875*c_0101_5^2 - 20529/18175*c_0101_5 - 2926/90875, c_0011_4 - 99727/90875*c_0101_5^14 - 334494/90875*c_0101_5^13 + 423237/90875*c_0101_5^12 + 771286/90875*c_0101_5^11 - 1459172/90875*c_0101_5^10 + 15538/90875*c_0101_5^9 + 364909/18175*c_0101_5^8 - 615907/90875*c_0101_5^7 + 358753/90875*c_0101_5^6 - 1045462/90875*c_0101_5^5 + 78499/90875*c_0101_5^4 + 457516/18175*c_0101_5^3 - 1247108/90875*c_0101_5^2 - 156619/18175*c_0101_5 + 273811/90875, c_0101_0 + 54454/90875*c_0101_5^14 + 190308/90875*c_0101_5^13 - 199374/90875*c_0101_5^12 - 411442/90875*c_0101_5^11 + 773499/90875*c_0101_5^10 - 44191/90875*c_0101_5^9 - 191243/18175*c_0101_5^8 + 400739/90875*c_0101_5^7 - 379611/90875*c_0101_5^6 + 547979/90875*c_0101_5^5 - 96513/90875*c_0101_5^4 - 242649/18175*c_0101_5^3 + 664486/90875*c_0101_5^2 + 41776/18175*c_0101_5 - 112402/90875, c_0101_1 + 128482/90875*c_0101_5^14 + 441709/90875*c_0101_5^13 - 500992/90875*c_0101_5^12 - 994681/90875*c_0101_5^11 + 1827147/90875*c_0101_5^10 + 48507/90875*c_0101_5^9 - 464219/18175*c_0101_5^8 + 692062/90875*c_0101_5^7 - 602168/90875*c_0101_5^6 + 1274262/90875*c_0101_5^5 - 34269/90875*c_0101_5^4 - 619744/18175*c_0101_5^3 + 1440158/90875*c_0101_5^2 + 202611/18175*c_0101_5 - 304821/90875, c_0101_5^15 + 4*c_0101_5^14 - 2*c_0101_5^13 - 10*c_0101_5^12 + 10*c_0101_5^11 + 8*c_0101_5^10 - 18*c_0101_5^9 - 4*c_0101_5^8 - 2*c_0101_5^7 + 8*c_0101_5^6 + 5*c_0101_5^5 - 24*c_0101_5^4 - c_0101_5^3 + 13*c_0101_5^2 + 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB