Magma V2.19-8 Tue Aug 20 2013 16:14:37 on localhost [Seed = 2699115686] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s600 geometric_solution 5.08163112 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3201 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 -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 0.300412197569 0.429688085866 0 1 0 1 0132 2310 2310 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 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 -1.224792058775 0.638144243196 4 3 5 0 0132 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796496744461 1.008995849832 2 4 0 5 1230 0132 0132 2310 0 0 0 0 0 0 1 -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 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 0 0 0 0 0.796496744461 1.008995849832 2 3 4 4 0132 0132 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 0.799296780044 1.055438035404 3 5 5 2 3201 1230 3012 0132 0 0 0 0 0 1 0 -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 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 0.273538268728 0.935388999191 ==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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_1_5' : negation(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_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' : negation(d['1']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], '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_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 16534397809494546/49216495859711947*c_0101_2^18 + 221512532578914865/147649487579135841*c_0101_2^17 + 199970104755336329/147649487579135841*c_0101_2^16 - 15446992360691090/3785884296900919*c_0101_2^15 + 231535077438099315/49216495859711947*c_0101_2^14 + 1192944757147055659/147649487579135841*c_0101_2^13 - 375697809725780718/49216495859711947*c_0101_2^12 - 1969775553935851118/147649487579135841*c_0101_2^11 - 882981217047663229/147649487579135841*c_0101_2^10 + 2641123674434223005/147649487579135841*c_0101_2^9 - 637699698650976014/147649487579135841*c_0101_2^8 - 5297983758667827640/147649487579135841*c_0101_2^7 - 552985873112341157/147649487579135841*c_0101_2^6 + 4190170561834451228/147649487579135841*c_0101_2^5 + 4341298272129498877/147649487579135841*c_0101_2^4 - 169936646189659766/147649487579135841*c_0101_2^3 - 1316043004411290164/147649487579135841*c_0101_2^2 + 15746730259499431/49216495859711947*c_0101_2 - 845063845356798677/147649487579135841, c_0011_0 - 1, c_0011_2 + 1025421180858807/3785884296900919*c_0101_2^18 - 5277940659419349/3785884296900919*c_0101_2^17 - 354087872502809/3785884296900919*c_0101_2^16 + 11817428035046071/3785884296900919*c_0101_2^15 - 21978982659902980/3785884296900919*c_0101_2^14 - 11034936285504003/3785884296900919*c_0101_2^13 + 23841989955694717/3785884296900919*c_0101_2^12 + 26737743697493951/3785884296900919*c_0101_2^11 - 9717017364582257/3785884296900919*c_0101_2^10 - 62211121019864786/3785884296900919*c_0101_2^9 + 52873764688980217/3785884296900919*c_0101_2^8 + 74629061738519213/3785884296900919*c_0101_2^7 - 21488426684376124/3785884296900919*c_0101_2^6 - 94140911573866824/3785884296900919*c_0101_2^5 - 19969180149267836/3785884296900919*c_0101_2^4 + 58219996766444652/3785884296900919*c_0101_2^3 + 18023135568761941/3785884296900919*c_0101_2^2 - 16798310460056673/3785884296900919*c_0101_2 - 893821265500228/3785884296900919, c_0011_5 - 927545155345497/3785884296900919*c_0101_2^18 + 4018286914603301/3785884296900919*c_0101_2^17 + 3831095366791971/3785884296900919*c_0101_2^16 - 8662089955112379/3785884296900919*c_0101_2^15 + 12236554691051794/3785884296900919*c_0101_2^14 + 22051219189786961/3785884296900919*c_0101_2^13 - 7332963440242992/3785884296900919*c_0101_2^12 - 34579420399397812/3785884296900919*c_0101_2^11 - 17865176864177050/3785884296900919*c_0101_2^10 + 50753301184737869/3785884296900919*c_0101_2^9 - 6170321096955592/3785884296900919*c_0101_2^8 - 87454478908424125/3785884296900919*c_0101_2^7 - 43214053261449300/3785884296900919*c_0101_2^6 + 68526126839974692/3785884296900919*c_0101_2^5 + 81294608781273992/3785884296900919*c_0101_2^4 - 8341072191993501/3785884296900919*c_0101_2^3 - 32514428711711310/3785884296900919*c_0101_2^2 + 1509561624929570/3785884296900919*c_0101_2 + 5644667493230374/3785884296900919, c_0101_0 + 42809344049132/3785884296900919*c_0101_2^18 - 250134583207906/3785884296900919*c_0101_2^17 + 38315978091316/3785884296900919*c_0101_2^16 + 925086029461340/3785884296900919*c_0101_2^15 - 869695393392068/3785884296900919*c_0101_2^14 - 447054854241207/3785884296900919*c_0101_2^13 + 3184565134874738/3785884296900919*c_0101_2^12 + 2479145830979152/3785884296900919*c_0101_2^11 - 733589377460090/3785884296900919*c_0101_2^10 - 3256344987742528/3785884296900919*c_0101_2^9 + 2826518174353661/3785884296900919*c_0101_2^8 + 5485615377554342/3785884296900919*c_0101_2^7 - 6361432265946683/3785884296900919*c_0101_2^6 - 8239103899643449/3785884296900919*c_0101_2^5 - 1624949295280570/3785884296900919*c_0101_2^4 + 1746815655666485/3785884296900919*c_0101_2^3 + 1016443592885387/3785884296900919*c_0101_2^2 - 176506377862734/3785884296900919*c_0101_2 + 2141024253917928/3785884296900919, c_0101_1 + 602803220398747/3785884296900919*c_0101_2^18 - 2422848191715304/3785884296900919*c_0101_2^17 - 3266958136579960/3785884296900919*c_0101_2^16 + 4832237544010391/3785884296900919*c_0101_2^15 - 6843004542751394/3785884296900919*c_0101_2^14 - 17775476602161976/3785884296900919*c_0101_2^13 + 120734080948159/3785884296900919*c_0101_2^12 + 22032241522804126/3785884296900919*c_0101_2^11 + 12243844455236346/3785884296900919*c_0101_2^10 - 31967211804235189/3785884296900919*c_0101_2^9 - 874009715209021/3785884296900919*c_0101_2^8 + 59250469142852381/3785884296900919*c_0101_2^7 + 40351273201969185/3785884296900919*c_0101_2^6 - 36002764088478575/3785884296900919*c_0101_2^5 - 49023841848149249/3785884296900919*c_0101_2^4 + 3617502997209162/3785884296900919*c_0101_2^3 + 17629647917719707/3785884296900919*c_0101_2^2 - 640221589122670/3785884296900919*c_0101_2 - 5392107557674680/3785884296900919, c_0101_2^19 - 5*c_0101_2^18 - c_0101_2^17 + 11*c_0101_2^16 - 20*c_0101_2^15 - 13*c_0101_2^14 + 20*c_0101_2^13 + 28*c_0101_2^12 - 5*c_0101_2^11 - 59*c_0101_2^10 + 45*c_0101_2^9 + 75*c_0101_2^8 - 9*c_0101_2^7 - 87*c_0101_2^6 - 28*c_0101_2^5 + 46*c_0101_2^4 + 18*c_0101_2^3 - 16*c_0101_2^2 - c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB