Magma V2.19-8 Tue Aug 20 2013 16:16:52 on localhost [Seed = 593674237] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1134 geometric_solution 4.99938165 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 3012 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 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 0.704995792509 0.672081597260 0 2 4 4 0132 1302 3201 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 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 1.066335401770 1.396212041867 3 0 0 1 1302 0132 1230 2031 0 0 0 0 0 0 0 0 1 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256892247603 0.708414221012 5 2 5 0 0132 2031 1023 0132 0 0 0 0 0 0 0 0 0 0 0 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 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 0.835211205538 0.931989353788 1 4 1 4 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.860448218881 0.611889909265 3 6 3 6 0132 0132 1023 1023 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 0.722761768809 0.202213343108 6 5 6 5 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797444369580 0.088077565790 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_1_2' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_3']})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t + 17446498111507365700/270146041623035429*c_0101_6^15 - 108502794588067886649/270146041623035429*c_0101_6^14 + 529008456380376468/2478404051587481*c_0101_6^13 + 202387123076709221972/270146041623035429*c_0101_6^12 + 287332640551821969254/270146041623035429*c_0101_6^11 + 2123363423739331898455/270146041623035429*c_0101_6^10 - 3018757316677065423405/270146041623035429*c_0101_6^9 - 5896173590691130470105/270146041623035429*c_0101_6^8 + 3615616895187668616312/270146041623035429*c_0101_6^7 + 5070819293909834522660/270146041623035429*c_0101_6^6 + 119308232880673680248/270146041623035429*c_0101_6^5 - 2298615308878882821418/270146041623035429*c_0101_6^4 + 133948610038482968707/270146041623035429*c_0101_6^3 - 153141222553142528543/270146041623035429*c_0101_6^2 - 600187230919848703/2478404051587481*c_0101_6 + 129104872751814620611/270146041623035429, c_0011_0 - 1, c_0011_3 - 53083696815118103/270146041623035429*c_0101_1*c_0101_6^15 + 285177724646539423/270146041623035429*c_0101_1*c_0101_6^14 + 644296630311767/2478404051587481*c_0101_1*c_0101_6^13 - 579013121263202046/270146041623035429*c_0101_1*c_0101_6^12 - 1368253684254212068/270146041623035429*c_0101_1*c_0101_6^11 - 7572018127726257962/270146041623035429*c_0101_1*c_0101_6^10 + 2878994140056475249/270146041623035429*c_0101_1*c_0101_6^9 + 20951045304261099411/270146041623035429*c_0101_1*c_0101_6^8 + 6457171509885572897/270146041623035429*c_0101_1*c_0101_6^7 - 11683899495915220624/270146041623035429*c_0101_1*c_0101_6^6 - 10684479377681739443/270146041623035429*c_0101_1*c_0101_6^5 - 938286226635571814/270146041623035429*c_0101_1*c_0101_6^4 - 479757281525506122/270146041623035429*c_0101_1*c_0101_6^3 + 697366242749063794/270146041623035429*c_0101_1*c_0101_6^2 + 7236786481317409/2478404051587481*c_0101_1*c_0101_6 - 55346405905564847/270146041623035429*c_0101_1, c_0011_4 - 150628112479662422/270146041623035429*c_0101_6^15 + 878206495373926432/270146041623035429*c_0101_6^14 - 1670701086165068/2478404051587481*c_0101_6^13 - 1658937071620550526/270146041623035429*c_0101_6^12 - 3212262834081999468/270146041623035429*c_0101_6^11 - 19832791220474888759/270146041623035429*c_0101_6^10 + 17878020893885607562/270146041623035429*c_0101_6^9 + 54625358856486303420/270146041623035429*c_0101_6^8 - 5800177172195641309/270146041623035429*c_0101_6^7 - 38110725520012911226/270146041623035429*c_0101_6^6 - 19315021152023852341/270146041623035429*c_0101_6^5 + 7068718454978777771/270146041623035429*c_0101_6^4 - 170116782140672650/270146041623035429*c_0101_6^3 + 2748498605567731382/270146041623035429*c_0101_6^2 + 8983165711985600/2478404051587481*c_0101_6 + 7528003164958372/270146041623035429, c_0101_0 + 53092396478253486/270146041623035429*c_0101_6^15 - 291037167928507940/270146041623035429*c_0101_6^14 - 301164686268141/2478404051587481*c_0101_6^13 + 544606660633211581/270146041623035429*c_0101_6^12 + 1345014245745973722/270146041623035429*c_0101_6^11 + 7497346838209680240/270146041623035429*c_0101_6^10 - 3617393215921328787/270146041623035429*c_0101_6^9 - 19986061733934010453/270146041623035429*c_0101_6^8 - 5806798528471057784/270146041623035429*c_0101_6^7 + 10284222933226773529/270146041623035429*c_0101_6^6 + 11379497575508702077/270146041623035429*c_0101_6^5 + 2393414095858159608/270146041623035429*c_0101_6^4 + 1046189654730738528/270146041623035429*c_0101_6^3 - 1267400829288592540/270146041623035429*c_0101_6^2 - 7176809015692658/2478404051587481*c_0101_6 - 283264560026618691/270146041623035429, c_0101_1^2 + 163329154798525799/270146041623035429*c_0101_6^15 - 958758021812278046/270146041623035429*c_0101_6^14 + 2257734861510959/2478404051587481*c_0101_6^13 + 1726451803595332706/270146041623035429*c_0101_6^12 + 3435677377389173936/270146041623035429*c_0101_6^11 + 21484647025176383784/270146041623035429*c_0101_6^10 - 20043033910140455596/270146041623035429*c_0101_6^9 - 57083082785434501219/270146041623035429*c_0101_6^8 + 7125125505101510589/270146041623035429*c_0101_6^7 + 37416341331847941346/270146041623035429*c_0101_6^6 + 20604573601745190480/270146041623035429*c_0101_6^5 - 6112071545596207630/270146041623035429*c_0101_6^4 + 987367942884810499/270146041623035429*c_0101_6^3 - 3816899687110014637/270146041623035429*c_0101_6^2 - 6535451983426813/2478404051587481*c_0101_6 - 85757672924343932/270146041623035429, c_0101_3 + 23559710793931744/270146041623035429*c_0101_6^15 - 130499596288522097/270146041623035429*c_0101_6^14 - 25950901489055/2478404051587481*c_0101_6^13 + 215901199752171814/270146041623035429*c_0101_6^12 + 596020972862092770/270146041623035429*c_0101_6^11 + 3341129989590318046/270146041623035429*c_0101_6^10 - 1726883880231279859/270146041623035429*c_0101_6^9 - 8231844436143313617/270146041623035429*c_0101_6^8 - 2758477525571852586/270146041623035429*c_0101_6^7 + 3290763620022914006/270146041623035429*c_0101_6^6 + 5610767852969174222/270146041623035429*c_0101_6^5 + 1635408372739617267/270146041623035429*c_0101_6^4 + 396044933829866198/270146041623035429*c_0101_6^3 - 633243624059657347/270146041623035429*c_0101_6^2 + 217001386201835/2478404051587481*c_0101_6 - 101789380553317304/270146041623035429, c_0101_6^16 - 6*c_0101_6^15 + 2*c_0101_6^14 + 12*c_0101_6^13 + 19*c_0101_6^12 + 126*c_0101_6^11 - 145*c_0101_6^10 - 368*c_0101_6^9 + 128*c_0101_6^8 + 313*c_0101_6^7 + 69*c_0101_6^6 - 114*c_0101_6^5 - 12*c_0101_6^4 - 9*c_0101_6^3 - 6*c_0101_6^2 + 6*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB