Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 2429619382] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s104 geometric_solution 3.96785173 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 2310 3201 0 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 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.696584686809 0.115765561271 0 0 2 2 0132 3201 2310 0132 0 0 0 0 0 1 -1 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 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 1.897684994251 0.648669081260 3 1 1 3 0132 3201 0132 1023 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 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.092427783734 0.409274367432 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506395582698 0.308263702521 5 3 5 5 2031 0132 2103 3201 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 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 0.520005971075 0.843343412224 4 4 4 3 2103 2310 1302 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 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 0.520005971075 0.843343412224 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : negation(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_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_2, c_0011_5, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 102596903956814840197483/4629942275631965081575*c_0110_4^15 - 80093777215926713837561/4629942275631965081575*c_0110_4^14 + 1045409248481708576001179/4629942275631965081575*c_0110_4^13 + 265847231698727311392064/185197691025278603263*c_0110_4^12 + 14220981327727955367158599/4629942275631965081575*c_0110_4^11 - 25297896937947399853201861/4629942275631965081575*c_0110_4^10 - 5385847974485468576449358/4629942275631965081575*c_0110_4^9 + 8272014639217821018290517/4629942275631965081575*c_0110_4^8 - 57335481007328244263090056/4629942275631965081575*c_0110_4^7 + 8161585071460724620203874/925988455126393016315*c_0110_4^6 + 9722863983146599644428984/925988455126393016315*c_0110_4^5 - 5554775933174983697472227/925988455126393016315*c_0110_4^4 - 7567821898119867882201376/4629942275631965081575*c_0110_4^3 + 2414240670808345030069534/4629942275631965081575*c_0110_4^2 - 1081675939114654503427746/4629942275631965081575*c_0110_4 + 651925305879087093269137/4629942275631965081575, c_0011_0 - 1, c_0011_2 - 90130193220181455873/4629942275631965081575*c_0110_4^15 - 166993476048816923791/4629942275631965081575*c_0110_4^14 + 749101831564357239124/4629942275631965081575*c_0110_4^13 + 265452689640483173242/185197691025278603263*c_0110_4^12 + 19559222619635981269694/4629942275631965081575*c_0110_4^11 - 1712515076287647488541/4629942275631965081575*c_0110_4^10 - 7647675705389443935298/4629942275631965081575*c_0110_4^9 - 567464809481354260073/4629942275631965081575*c_0110_4^8 - 62190649851691371843961/4629942275631965081575*c_0110_4^7 - 3926597601807610763171/925988455126393016315*c_0110_4^6 + 4596577262356550161589/925988455126393016315*c_0110_4^5 - 659234077940271590872/925988455126393016315*c_0110_4^4 + 17493386641322758101644/4629942275631965081575*c_0110_4^3 + 7214880267220117763004/4629942275631965081575*c_0110_4^2 + 3886538672205079711299/4629942275631965081575*c_0110_4 - 617414566184874889528/4629942275631965081575, c_0011_5 - 213505335863812472532/4629942275631965081575*c_0110_4^15 - 210683309315701635519/4629942275631965081575*c_0110_4^14 + 2191704062097898837066/4629942275631965081575*c_0110_4^13 + 574005109723810577063/185197691025278603263*c_0110_4^12 + 31986091826606266090346/4629942275631965081575*c_0110_4^11 - 50085671400378348718244/4629942275631965081575*c_0110_4^10 - 31387357909087941292407/4629942275631965081575*c_0110_4^9 + 20667748382010204655393/4629942275631965081575*c_0110_4^8 - 111879961668594651589824/4629942275631965081575*c_0110_4^7 + 12048488652944257004136/925988455126393016315*c_0110_4^6 + 29980505920145414992876/925988455126393016315*c_0110_4^5 - 7784128206658174647868/925988455126393016315*c_0110_4^4 - 45876010451864193505404/4629942275631965081575*c_0110_4^3 + 3332185237224966040411/4629942275631965081575*c_0110_4^2 - 7521172212944208405234/4629942275631965081575*c_0110_4 + 459359530581418492873/4629942275631965081575, c_0101_0 - 686842382767265155842/4629942275631965081575*c_0110_4^15 - 999816578759379614489/4629942275631965081575*c_0110_4^14 + 6541912232565889724771/4629942275631965081575*c_0110_4^13 + 1958412266382414427425/185197691025278603263*c_0110_4^12 + 126025601221028467045051/4629942275631965081575*c_0110_4^11 - 97208106037196182848364/4629942275631965081575*c_0110_4^10 - 125132859705400017963842/4629942275631965081575*c_0110_4^9 + 36055088785352099402258/4629942275631965081575*c_0110_4^8 - 386079257957067351624994/4629942275631965081575*c_0110_4^7 + 3645492372912770907431/925988455126393016315*c_0110_4^6 + 91038065896525749064726/925988455126393016315*c_0110_4^5 - 5599169681827822488923/925988455126393016315*c_0110_4^4 - 77714422630902715494349/4629942275631965081575*c_0110_4^3 + 6238173542317836737266/4629942275631965081575*c_0110_4^2 - 12026181760985684568204/4629942275631965081575*c_0110_4 + 633597979700592180563/4629942275631965081575, c_0101_1 + 1237332874394727058437/4629942275631965081575*c_0110_4^15 + 923668397118723129504/4629942275631965081575*c_0110_4^14 - 12474271585554255954431/4629942275631965081575*c_0110_4^13 - 3187029471359053207317/185197691025278603263*c_0110_4^12 - 170462228606173957866236/4629942275631965081575*c_0110_4^11 + 300999700882704537853179/4629942275631965081575*c_0110_4^10 + 36076739366192986366412/4629942275631965081575*c_0110_4^9 - 53235748301999619547213/4629942275631965081575*c_0110_4^8 + 677864902433741694262234/4629942275631965081575*c_0110_4^7 - 101666738194063774088591/925988455126393016315*c_0110_4^6 - 96014271945008406216431/925988455126393016315*c_0110_4^5 + 49184029484981618948353/925988455126393016315*c_0110_4^4 + 69969214521821019618214/4629942275631965081575*c_0110_4^3 - 6298562579495574106951/4629942275631965081575*c_0110_4^2 + 3928738703645305164969/4629942275631965081575*c_0110_4 - 2714030232337150696768/4629942275631965081575, c_0110_4^16 + c_0110_4^15 - 10*c_0110_4^14 - 67*c_0110_4^13 - 153*c_0110_4^12 + 215*c_0110_4^11 + 104*c_0110_4^10 - 65*c_0110_4^9 + 541*c_0110_4^8 - 277*c_0110_4^7 - 550*c_0110_4^6 + 160*c_0110_4^5 + 127*c_0110_4^4 + 5*c_0110_4^2 - 6*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB