Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 2294879394] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0034 geometric_solution 3.60395268 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116471415312 0.025685600812 2 0 2 0 0132 2310 2310 0132 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 -5.304072540782 1.779937294349 1 1 3 3 0132 3201 0132 3201 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 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 0.243420106989 0.111780250330 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 -1 1 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 -1 1 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 0.206241563175 0.958521569021 3 6 5 5 0132 0132 3012 1230 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 1 0 -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 1.942138398032 1.986350456843 4 4 6 3 3012 1230 3201 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 1 0 -1 1 0 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 1.942138398032 1.986350456843 5 4 6 6 2310 0132 2031 1302 0 0 0 0 0 1 0 -1 0 0 1 -1 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 0.014652453336 0.503009014414 ==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' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_1']), '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_1'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_0']), '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 27995328968795936838263441/531255440788079076616210112*c_0101_5^16 - 1063484687697131673357432221/132813860197019769154052528*c_0101_5^1\ 4 - 140714161131055207882817894459/531255440788079076616210112*c_01\ 01_5^12 - 344574113609060496439423985435/13281386019701976915405252\ 8*c_0101_5^10 - 4809857011864428176274066050427/5312554407880790766\ 16210112*c_0101_5^8 - 2017502317877015019767760490509/1328138601970\ 19769154052528*c_0101_5^6 - 314280379126808088407415458203/33203465\ 049254942288513132*c_0101_5^4 - 141057197481213269438884254173/3320\ 3465049254942288513132*c_0101_5^2 - 4564581356457559324335006689/16601732524627471144256566, c_0011_0 - 1, c_0011_1 - 655781956472546766857/18319153130623416435041728*c_0101_5^16 + 12505318553579358201715/2289894141327927054380216*c_0101_5^14 + 3235879684688608313150707/18319153130623416435041728*c_0101_5^12 + 947961126298192203499981/572473535331981763595054*c_0101_5^10 + 94329156590272817458491619/18319153130623416435041728*c_0101_5^8 + 16382968246108774652817377/2289894141327927054380216*c_0101_5^6 + 470842692735055388185745/286236767665990881797527*c_0101_5^4 + 288444151534923621158913/572473535331981763595054*c_0101_5^2 - 249493325029771761643393/286236767665990881797527, c_0011_3 - 740633583344382047065/9159576565311708217520864*c_0101_5^16 + 56347272108782721483687/4579788282655854108760432*c_0101_5^14 + 3699445211360993866679563/9159576565311708217520864*c_0101_5^12 + 17832181560445563525319127/4579788282655854108760432*c_0101_5^10 + 118887949948461163845758379/9159576565311708217520864*c_0101_5^8 + 90183091789543181633286795/4579788282655854108760432*c_0101_5^6 + 9120614598777119507356121/1144947070663963527190108*c_0101_5^4 + 691214893878031509115895/286236767665990881797527*c_0101_5^2 - 87217706234379633321221/286236767665990881797527, c_0011_5 - 452723724109456411803/9159576565311708217520864*c_0101_5^16 + 34366098823949132334107/4579788282655854108760432*c_0101_5^14 + 2284692739404180595717825/9159576565311708217520864*c_0101_5^12 + 11292492806621203539197587/4579788282655854108760432*c_0101_5^10 + 80509433285594448640349857/9159576565311708217520864*c_0101_5^8 + 69027737208920613104071695/4579788282655854108760432*c_0101_5^6 + 10825259451763260678235929/1144947070663963527190108*c_0101_5^4 + 937774444259532839108510/286236767665990881797527*c_0101_5^2 + 16842145085368521671347/286236767665990881797527, c_0101_0 - 9427325642510441770169/36638306261246832870083456*c_0101_5^1\ 7 + 179225375350927176687275/4579788282655854108760432*c_0101_5^15 + 47186024204150964918032195/36638306261246832870083456*c_0101_5^13 + 14302855404674009988713503/1144947070663963527190108*c_0101_5^11 + 1559073215369533213731186227/36638306261246832870083456*c_0101_5^9 + 315824004620124808880609497/4579788282655854108760432*c_0101_5^7 + 11072367922886079439725880/286236767665990881797527*c_0101_5^5 + 21055973892554402623056307/1144947070663963527190108*c_0101_5^3 - 164592489816274176611596/286236767665990881797527*c_0101_5, c_0101_1 - 1365176980402750425485/18319153130623416435041728*c_0101_5^1\ 6 + 52007999358633825762183/4579788282655854108760432*c_0101_5^14 + 6772024204892050548325759/18319153130623416435041728*c_0101_5^12 + 16061183989952425137033301/4579788282655854108760432*c_0101_5^10 + 205598710856436515308932879/18319153130623416435041728*c_0101_5^8 + 73510786896299220414812903/4579788282655854108760432*c_0101_5^6 + 2692589720552867939188587/572473535331981763595054*c_0101_5^4 + 795153067932669087539841/572473535331981763595054*c_0101_5^2 - 180201247077821171599343/286236767665990881797527, c_0101_5^18 - 152*c_0101_5^16 - 5019*c_0101_5^14 - 48992*c_0101_5^12 - 169483*c_0101_5^10 - 280456*c_0101_5^8 - 167360*c_0101_5^6 - 74592*c_0101_5^4 - 2688*c_0101_5^2 - 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB