Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 3103335577] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s342 geometric_solution 4.54271185 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 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 1.559349498210 0.226067576511 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 -1 2 0 0 0 0 -2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.212308237454 0.415307845500 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 0 0 1 -1 1 -1 0 0 1 -2 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529907079655 0.498382551566 2 5 4 4 0132 0132 3201 0321 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587123578632 1.057872627823 3 3 2 5 2310 0321 0132 1023 0 0 0 0 0 0 1 -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 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 0.587123578632 1.057872627823 5 3 5 4 2031 0132 1302 1023 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 -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 0.453526127686 0.339571719950 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), '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_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), '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_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0011_4']), '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_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 3408409566774017/1948496833284256*c_0110_5^17 + 3481421965592279/974248416642128*c_0110_5^15 + 17096592875792807/487124208321064*c_0110_5^13 - 144771511210975590/60890526040133*c_0110_5^11 + 392530494043700769/60890526040133*c_0110_5^9 - 569444291790212069/60890526040133*c_0110_5^7 + 15066455330295651129/1948496833284256*c_0110_5^5 - 5210164049532967729/1948496833284256*c_0110_5^3 + 133746055557815183/487124208321064*c_0110_5, c_0011_0 - 1, c_0011_1 + 25106096543347/974248416642128*c_0110_5^16 + 28115768472913/487124208321064*c_0110_5^14 + 129130510768001/243562104160532*c_0110_5^12 - 2126141033851950/60890526040133*c_0110_5^10 + 5366284045217342/60890526040133*c_0110_5^8 - 7477489091552114/60890526040133*c_0110_5^6 + 93007886667869579/974248416642128*c_0110_5^4 - 27485181203050699/974248416642128*c_0110_5^2 + 723316045809603/243562104160532, c_0011_4 - 175225765349291/974248416642128*c_0110_5^17 - 198329517354517/487124208321064*c_0110_5^15 - 902273784378041/243562104160532*c_0110_5^13 + 14834735258376884/60890526040133*c_0110_5^11 - 37090730242848326/60890526040133*c_0110_5^9 + 50846178914023799/60890526040133*c_0110_5^7 - 614574154467809555/974248416642128*c_0110_5^5 + 157030692512093067/974248416642128*c_0110_5^3 - 2576281973728217/243562104160532*c_0110_5, c_0101_0 + 366878154854089/1948496833284256*c_0110_5^17 + 429321415119083/974248416642128*c_0110_5^15 + 1905964204419667/487124208321064*c_0110_5^13 - 15511676734864287/60890526040133*c_0110_5^11 + 37640557418738596/60890526040133*c_0110_5^9 - 50404104958705207/60890526040133*c_0110_5^7 + 1166939727212232961/1948496833284256*c_0110_5^5 - 244992497456440705/1948496833284256*c_0110_5^3 + 1650819596673153/487124208321064*c_0110_5, c_0101_3 + 49869924873159/974248416642128*c_0110_5^16 + 53954898251261/487124208321064*c_0110_5^14 + 253817476589993/243562104160532*c_0110_5^12 - 4228516879554616/60890526040133*c_0110_5^10 + 10977034175954869/60890526040133*c_0110_5^8 - 15473087286289068/60890526040133*c_0110_5^6 + 195832594437154991/974248416642128*c_0110_5^4 - 58690620232417983/974248416642128*c_0110_5^2 + 1274870259029671/243562104160532, c_0110_5^18 + 2*c_0110_5^16 + 20*c_0110_5^14 - 1360*c_0110_5^12 + 3744*c_0110_5^10 - 5536*c_0110_5^8 + 4729*c_0110_5^6 - 1821*c_0110_5^4 + 296*c_0110_5^2 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB