Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 3886447412] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1334 geometric_solution 5.21283149 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 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 0.157789038935 0.949751607672 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 1 -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 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 0.971054808572 1.293375580002 1 3 0 4 1230 2310 0132 3201 0 0 0 0 0 -1 1 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 -1 1 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 0.971054808572 1.293375580002 1 3 3 2 0132 1230 3012 3201 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 1.037203587296 0.629043908301 5 2 5 1 0132 2310 2310 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352317194672 1.103270079871 4 4 6 6 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259786297233 0.141941465678 5 6 5 6 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 -3.778241109764 1.685313461073 ==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' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : 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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), '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_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], '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' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_1']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1379551996476188768/141671494265769755*c_0101_4^13 + 47483440491420272/20238784895109965*c_0101_4^12 - 7024559377771512167/141671494265769755*c_0101_4^11 + 2541203780662414741/28334298853153951*c_0101_4^10 - 29526811768186816072/141671494265769755*c_0101_4^9 + 54261753453925283383/141671494265769755*c_0101_4^8 - 63560763573634364382/141671494265769755*c_0101_4^7 - 26231818579580467937/141671494265769755*c_0101_4^6 + 46455933460437389886/141671494265769755*c_0101_4^5 + 196669942636203006078/141671494265769755*c_0101_4^4 - 15416979472878889997/4047756979021993*c_0101_4^3 + 521829420982984331082/141671494265769755*c_0101_4^2 - 220438742799826249663/141671494265769755*c_0101_4 + 34538108469249286647/141671494265769755, c_0011_0 - 1, c_0011_1 - 36036927025277/130572805774903*c_0101_4^13 - 17758914585625/130572805774903*c_0101_4^12 - 190771255272979/130572805774903*c_0101_4^11 + 192115464585846/130572805774903*c_0101_4^10 - 601902907559141/130572805774903*c_0101_4^9 + 928619590473565/130572805774903*c_0101_4^8 - 874901941964049/130572805774903*c_0101_4^7 - 1527808030627350/130572805774903*c_0101_4^6 + 296916588204020/130572805774903*c_0101_4^5 + 5537400538682106/130572805774903*c_0101_4^4 - 10160537134007852/130572805774903*c_0101_4^3 + 5282280578530378/130572805774903*c_0101_4^2 + 81373970147195/130572805774903*c_0101_4 - 518625298788507/130572805774903, c_0011_4 - 33229958064577/130572805774903*c_0101_4^13 - 28478163532137/130572805774903*c_0101_4^12 - 187407134809950/130572805774903*c_0101_4^11 + 107902613342683/130572805774903*c_0101_4^10 - 521202024599934/130572805774903*c_0101_4^9 + 672499082056195/130572805774903*c_0101_4^8 - 570422133094516/130572805774903*c_0101_4^7 - 1582538700171882/130572805774903*c_0101_4^6 - 300297791742535/130572805774903*c_0101_4^5 + 4945286353222444/130572805774903*c_0101_4^4 - 7586885260260016/130572805774903*c_0101_4^3 + 2344013567361134/130572805774903*c_0101_4^2 + 737572090646230/130572805774903*c_0101_4 - 93146535067368/130572805774903, c_0011_6 + 6267564173204/130572805774903*c_0101_4^13 + 8227616103731/130572805774903*c_0101_4^12 + 36973033583687/130572805774903*c_0101_4^11 - 4516840398872/130572805774903*c_0101_4^10 + 87270073176563/130572805774903*c_0101_4^9 - 72021030713853/130572805774903*c_0101_4^8 + 52700987188764/130572805774903*c_0101_4^7 + 378021090233996/130572805774903*c_0101_4^6 + 199267741429173/130572805774903*c_0101_4^5 - 973450272502988/130572805774903*c_0101_4^4 + 964802958583071/130572805774903*c_0101_4^3 + 423079234076809/130572805774903*c_0101_4^2 - 452190993319972/130572805774903*c_0101_4 - 117692532556873/130572805774903, c_0101_0 - 29832529254587/130572805774903*c_0101_4^13 - 7405197294953/130572805774903*c_0101_4^12 - 146380374187967/130572805774903*c_0101_4^11 + 207862537055580/130572805774903*c_0101_4^10 - 487321353133017/130572805774903*c_0101_4^9 + 886627458694729/130572805774903*c_0101_4^8 - 788147771032034/130572805774903*c_0101_4^7 - 1202305584169405/130572805774903*c_0101_4^6 + 632120902089155/130572805774903*c_0101_4^5 + 4911231880359190/130572805774903*c_0101_4^4 - 9325421975328778/130572805774903*c_0101_4^3 + 5376261674383983/130572805774903*c_0101_4^2 + 361627528448295/130572805774903*c_0101_4 - 609769673036254/130572805774903, c_0101_1 - 10945154624310/130572805774903*c_0101_4^13 - 12530303167563/130572805774903*c_0101_4^12 - 63063211040713/130572805774903*c_0101_4^11 + 22131174403753/130572805774903*c_0101_4^10 - 147277594574672/130572805774903*c_0101_4^9 + 192935507702146/130572805774903*c_0101_4^8 - 86650533871689/130572805774903*c_0101_4^7 - 543884206701384/130572805774903*c_0101_4^6 - 243348597188174/130572805774903*c_0101_4^5 + 1665302635424493/130572805774903*c_0101_4^4 - 1888451869256397/130572805774903*c_0101_4^3 - 18357205725941/130572805774903*c_0101_4^2 + 479152308444087/130572805774903*c_0101_4 + 108018551967892/130572805774903, c_0101_4^14 + 5*c_0101_4^12 - 8*c_0101_4^11 + 19*c_0101_4^10 - 34*c_0101_4^9 + 36*c_0101_4^8 + 31*c_0101_4^7 - 30*c_0101_4^6 - 152*c_0101_4^5 + 357*c_0101_4^4 - 279*c_0101_4^3 + 59*c_0101_4^2 + 19*c_0101_4 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB