Magma V2.19-8 Tue Aug 20 2013 16:17:32 on localhost [Seed = 3137021542] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1775 geometric_solution 5.45687826 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.051543206602 1.251266346826 0 4 2 3 0132 1302 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606371550636 0.468391625518 1 0 2 2 2031 0132 2031 1302 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 0 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894702920029 1.009268673113 5 1 5 0 0132 1302 2310 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 0.713185862934 0.713480731594 6 6 0 1 0132 3201 0132 2031 0 0 0 0 0 1 -1 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 -0.613463332226 0.454456139404 3 3 5 5 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430819594793 0.215679822482 4 6 4 6 0132 2310 2310 3201 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.358705048121 1.086812297800 ==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' : d['c_0011_4'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], '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' : negation(d['c_0011_4']), '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' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_6'])})} 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_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 5*c_0101_6^2 + 13*c_0101_6 - 4, c_0011_0 - 1, c_0011_3 + c_0101_6, c_0011_4 - c_0101_6^2 + c_0101_6 + 1, c_0101_0 + c_0101_6^2 - c_0101_6 - 1, c_0101_2 + c_0101_6^2 - c_0101_6 - 1, c_0101_3 + 1, c_0101_6^3 - 2*c_0101_6^2 - c_0101_6 + 1 ], 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_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 9259525899827823224/369009219437765347*c_0101_6^21 + 13391038793798368310/369009219437765347*c_0101_6^20 + 89042569989443399552/369009219437765347*c_0101_6^19 - 85436669401707519808/369009219437765347*c_0101_6^18 - 1637483252586850083/1424746020995233*c_0101_6^17 + 55140296774675668381/52715602776823621*c_0101_6^16 + 1229563551429914324710/369009219437765347*c_0101_6^15 - 1358603879589981568921/369009219437765347*c_0101_6^14 - 306111640241260152104/52715602776823621*c_0101_6^13 + 3664485329792974445083/369009219437765347*c_0101_6^12 + 2222609799019607265732/369009219437765347*c_0101_6^11 - 985792014152521407634/52715602776823621*c_0101_6^10 - 751689092421481456309/369009219437765347*c_0101_6^9 + 8695994616888955252448/369009219437765347*c_0101_6^8 - 1447433393899477879247/369009219437765347*c_0101_6^7 - 6767189495259474513177/369009219437765347*c_0101_6^6 + 2545531562450083671158/369009219437765347*c_0101_6^5 + 3109025912013594368284/369009219437765347*c_0101_6^4 - 1627713007178337971268/369009219437765347*c_0101_6^3 - 858496079568933934330/369009219437765347*c_0101_6^2 + 316147449845636340849/369009219437765347*c_0101_6 + 103700531478031068451/369009219437765347, c_0011_0 - 1, c_0011_3 + 88820158659/46981886381*c_0101_6^21 - 280731782972/46981886381*c_0101_6^20 - 470999157582/46981886381*c_0101_6^19 + 1867644277617/46981886381*c_0101_6^18 + 42074169309/1269780713*c_0101_6^17 - 7947945412261/46981886381*c_0101_6^16 - 989215804413/46981886381*c_0101_6^15 + 21522228558764/46981886381*c_0101_6^14 - 10523896685816/46981886381*c_0101_6^13 - 36801770936157/46981886381*c_0101_6^12 + 39767938845814/46981886381*c_0101_6^11 + 37226641357252/46981886381*c_0101_6^10 - 73493015424085/46981886381*c_0101_6^9 - 10034620148548/46981886381*c_0101_6^8 + 76098408195146/46981886381*c_0101_6^7 - 23893853569653/46981886381*c_0101_6^6 - 38992928526841/46981886381*c_0101_6^5 + 26064677130079/46981886381*c_0101_6^4 + 6451194393072/46981886381*c_0101_6^3 - 8015141106746/46981886381*c_0101_6^2 + 309134415319/46981886381*c_0101_6 + 531160592154/46981886381, c_0011_4 + 40473633235/46981886381*c_0101_6^21 - 129293791894/46981886381*c_0101_6^20 - 212824708037/46981886381*c_0101_6^19 + 865278948070/46981886381*c_0101_6^18 + 18852088279/1269780713*c_0101_6^17 - 3692371324560/46981886381*c_0101_6^16 - 398893734324/46981886381*c_0101_6^15 + 10020678613844/46981886381*c_0101_6^14 - 4985294994085/46981886381*c_0101_6^13 - 17167106553104/46981886381*c_0101_6^12 + 18663297185413/46981886381*c_0101_6^11 + 17426257179319/46981886381*c_0101_6^10 - 34573260308708/46981886381*c_0101_6^9 - 4872716044893/46981886381*c_0101_6^8 + 36083759895195/46981886381*c_0101_6^7 - 10914106003986/46981886381*c_0101_6^6 - 18873001790278/46981886381*c_0101_6^5 + 12106147356033/46981886381*c_0101_6^4 + 3404658883769/46981886381*c_0101_6^3 - 3815534540768/46981886381*c_0101_6^2 + 30822342773/46981886381*c_0101_6 + 247845159509/46981886381, c_0101_0 - 54670228903011530/52715602776823621*c_0101_6^21 + 179717439594181056/52715602776823621*c_0101_6^20 + 268301158346897163/52715602776823621*c_0101_6^19 - 1188154924365009947/52715602776823621*c_0101_6^18 - 22018484751573437/1424746020995233*c_0101_6^17 + 5035711379366726145/52715602776823621*c_0101_6^16 - 8544772136058956/52715602776823621*c_0101_6^15 - 13426980916002819206/52715602776823621*c_0101_6^14 + 8171714088069219752/52715602776823621*c_0101_6^13 + 22156181199096780196/52715602776823621*c_0101_6^12 - 27544306148194351208/52715602776823621*c_0101_6^11 - 20407642569071486218/52715602776823621*c_0101_6^10 + 48842447523197479760/52715602776823621*c_0101_6^9 + 1107940337445702668/52715602776823621*c_0101_6^8 - 49021916797963392048/52715602776823621*c_0101_6^7 + 20357080622223750550/52715602776823621*c_0101_6^6 + 23796206012534244267/52715602776823621*c_0101_6^5 - 19404296516221438853/52715602776823621*c_0101_6^4 - 2928998237183120443/52715602776823621*c_0101_6^3 + 5850680807203652802/52715602776823621*c_0101_6^2 - 545197911349216127/52715602776823621*c_0101_6 - 411299618728252960/52715602776823621, c_0101_2 - 2772737226943/4991535155461*c_0101_6^21 + 8641385164045/4991535155461*c_0101_6^20 + 15185955397465/4991535155461*c_0101_6^19 - 58148638839446/4991535155461*c_0101_6^18 - 1376649772244/134906355553*c_0101_6^17 + 248300305116595/4991535155461*c_0101_6^16 + 39875306201897/4991535155461*c_0101_6^15 - 679405540464922/4991535155461*c_0101_6^14 + 311942651809202/4991535155461*c_0101_6^13 + 1177606686971869/4991535155461*c_0101_6^12 - 1229319432241312/4991535155461*c_0101_6^11 - 1219771226354902/4991535155461*c_0101_6^10 + 2311990264543413/4991535155461*c_0101_6^9 + 379262693876940/4991535155461*c_0101_6^8 - 2435428352069006/4991535155461*c_0101_6^7 + 717793695579130/4991535155461*c_0101_6^6 + 1280433924644208/4991535155461*c_0101_6^5 - 825784152021792/4991535155461*c_0101_6^4 - 229765945455020/4991535155461*c_0101_6^3 + 266744196022629/4991535155461*c_0101_6^2 - 4492768818109/4991535155461*c_0101_6 - 20196227597764/4991535155461, c_0101_3 - 100015937618306222/52715602776823621*c_0101_6^21 + 336364862208012343/52715602776823621*c_0101_6^20 + 473869680789422760/52715602776823621*c_0101_6^19 - 2227272726098213599/52715602776823621*c_0101_6^18 - 37477300354693965/1424746020995233*c_0101_6^17 + 9424571934277329541/52715602776823621*c_0101_6^16 - 447225232800579784/52715602776823621*c_0101_6^15 - 24992829486359593672/52715602776823621*c_0101_6^14 + 16172605877624074973/52715602776823621*c_0101_6^13 + 40690082579375696359/52715602776823621*c_0101_6^12 - 52738551362366199701/52715602776823621*c_0101_6^11 - 36367246662654796383/52715602776823621*c_0101_6^10 + 92295059704819623881/52715602776823621*c_0101_6^9 - 364434801600909807/52715602776823621*c_0101_6^8 - 91657976818093177795/52715602776823621*c_0101_6^7 + 39731375333713941067/52715602776823621*c_0101_6^6 + 43682726124736377317/52715602776823621*c_0101_6^5 - 36577653606239295576/52715602776823621*c_0101_6^4 - 5130467134437560544/52715602776823621*c_0101_6^3 + 10792556006409802010/52715602776823621*c_0101_6^2 - 893576623100172770/52715602776823621*c_0101_6 - 773322709843187513/52715602776823621, c_0101_6^22 - 2*c_0101_6^21 - 9*c_0101_6^20 + 15*c_0101_6^19 + 42*c_0101_6^18 - 70*c_0101_6^17 - 115*c_0101_6^16 + 233*c_0101_6^15 + 161*c_0101_6^14 - 561*c_0101_6^13 - 24*c_0101_6^12 + 952*c_0101_6^11 - 365*c_0101_6^10 - 1082*c_0101_6^9 + 764*c_0101_6^8 + 719*c_0101_6^7 - 787*c_0101_6^6 - 198*c_0101_6^5 + 429*c_0101_6^4 - 19*c_0101_6^3 - 103*c_0101_6^2 + 13*c_0101_6 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB