Magma V2.19-8 Tue Aug 20 2013 16:18:12 on localhost [Seed = 3869735899] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2411 geometric_solution 5.76601045 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 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 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 0.534202188719 0.176393661144 0 2 0 3 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837413275975 0.766816340053 4 1 4 5 0132 0132 0321 0132 0 0 0 0 0 0 0 0 -1 0 1 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 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 -0.357437697781 1.045423712966 5 5 1 4 1023 1302 0132 3201 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 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 1.336780007379 0.918378796197 2 3 2 6 0132 2310 0321 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 1 0 -1 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 0.183348285109 0.656084419846 6 3 2 3 3012 1023 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 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 0.157249639774 0.553858315101 6 6 4 5 1302 2031 0132 1230 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 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 0.283972427079 0.642416852165 ==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_0110_5'], 'c_1100_5' : d['c_1001_4'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1001_4'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], '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_0011_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0110_5'], '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_3, c_0011_6, c_0101_0, c_0101_1, c_0110_5, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 229263828369361/47184994274600*c_1001_4^9 + 1159653166808301/47184994274600*c_1001_4^8 - 13230756793221067/47184994274600*c_1001_4^7 + 4918163431100016/5898124284325*c_1001_4^6 - 47190019266674643/47184994274600*c_1001_4^5 + 6241858460194039/5898124284325*c_1001_4^4 - 49615486332411639/23592497137300*c_1001_4^3 + 1636279537925145/1887399770984*c_1001_4^2 - 9263068126012241/47184994274600*c_1001_4 - 565429454829773/23592497137300, c_0011_0 - 1, c_0011_3 - 2280520845/23445959888*c_1001_4^9 - 5888157581/11722979944*c_1001_4^8 + 8134230724/1465372493*c_1001_4^7 - 378786907123/23445959888*c_1001_4^6 + 441193648465/23445959888*c_1001_4^5 - 483890202561/23445959888*c_1001_4^4 + 244125679575/5861489972*c_1001_4^3 - 351065590979/23445959888*c_1001_4^2 + 8388189727/1465372493*c_1001_4 + 2326215729/23445959888, c_0011_6 + 211799051/1803535376*c_1001_4^9 + 524966847/901767688*c_1001_4^8 - 3082676465/450883844*c_1001_4^7 + 37596489509/1803535376*c_1001_4^6 - 47185216195/1803535376*c_1001_4^5 + 50042277347/1803535376*c_1001_4^4 - 23884319185/450883844*c_1001_4^3 + 47310070701/1803535376*c_1001_4^2 - 1363455211/225441922*c_1001_4 - 1365352283/1803535376, c_0101_0 - 46958337/11722979944*c_1001_4^9 - 299357203/11722979944*c_1001_4^8 + 2427342335/11722979944*c_1001_4^7 - 2111300803/5861489972*c_1001_4^6 - 1939594323/11722979944*c_1001_4^5 + 277995572/1465372493*c_1001_4^4 + 6704065529/5861489972*c_1001_4^3 + 12295376719/11722979944*c_1001_4^2 - 1850682981/11722979944*c_1001_4 - 4453703079/5861489972, c_0101_1 + 75876501/23445959888*c_1001_4^9 + 233905941/11722979944*c_1001_4^8 - 489854819/2930744986*c_1001_4^7 + 8381403347/23445959888*c_1001_4^6 - 3266163657/23445959888*c_1001_4^5 + 1814121057/23445959888*c_1001_4^4 - 2256368845/5861489972*c_1001_4^3 - 35336892349/23445959888*c_1001_4^2 + 386518169/2930744986*c_1001_4 - 11307716073/23445959888, c_0110_5 - 25996441/11722979944*c_1001_4^9 - 231917281/11722979944*c_1001_4^8 + 931000315/11722979944*c_1001_4^7 + 115591798/1465372493*c_1001_4^6 - 8941734005/11722979944*c_1001_4^5 + 1210055980/1465372493*c_1001_4^4 - 5062871507/5861489972*c_1001_4^3 + 30652108459/11722979944*c_1001_4^2 - 1405434975/11722979944*c_1001_4 + 4923062827/5861489972, c_1001_4^10 + 5*c_1001_4^9 - 58*c_1001_4^8 + 175*c_1001_4^7 - 216*c_1001_4^6 + 230*c_1001_4^5 - 445*c_1001_4^4 + 203*c_1001_4^3 - 51*c_1001_4^2 - 5*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB