Magma V2.19-8 Tue Aug 20 2013 16:15:55 on localhost [Seed = 172725809] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0151 geometric_solution 3.64409873 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1230 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 -1 0 1 0 0 0 0 1 1 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.006941243986 1.981566745528 0 2 2 3 0132 2310 3120 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 1 -1 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 0.998232275543 0.504644989653 0 0 1 1 3012 0132 3120 3201 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 1 -1 0 -1 0 0 1 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202138153990 0.403349994674 4 1 4 0 0132 1302 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490255929504 0.372565220957 3 5 3 5 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798926240318 0.073287429264 4 4 6 6 3201 0132 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 0.524055656987 0.051886054662 6 5 5 6 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.964155888340 0.063891336514 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(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_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_6']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_2']})} 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_6, c_0101_0, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 12760012082187976/84303636056101*c_0101_6^12 + 27532963532502990/84303636056101*c_0101_6^11 + 374399628736655341/84303636056101*c_0101_6^10 + 256869084847584994/84303636056101*c_0101_6^9 + 187002997436695819/7663966914191*c_0101_6^8 + 763941560228423377/168607272112202*c_0101_6^7 + 546620971958097908/12043376579443*c_0101_6^6 + 302807779432779373/84303636056101*c_0101_6^5 + 5535611166463755221/168607272112202*c_0101_6^4 + 87945753683082503/24086753158886*c_0101_6^3 + 686545439427936092/84303636056101*c_0101_6^2 + 356726413310183403/168607272112202*c_0101_6 + 40406768780267345/84303636056101, c_0011_0 - 1, c_0011_3 + 3828172060077/7663966914191*c_0101_3*c_0101_6^12 + 8266089852934/7663966914191*c_0101_3*c_0101_6^11 + 112172418775433/7663966914191*c_0101_3*c_0101_6^10 + 153201452592843/15327933828382*c_0101_3*c_0101_6^9 + 611416717428651/7663966914191*c_0101_3*c_0101_6^8 + 206637381596729/15327933828382*c_0101_3*c_0101_6^7 + 157908104886139/1094852416313*c_0101_3*c_0101_6^6 + 40474401639134/7663966914191*c_0101_3*c_0101_6^5 + 732978587479843/7663966914191*c_0101_3*c_0101_6^4 + 4907354517471/1094852416313*c_0101_3*c_0101_6^3 + 284833765077731/15327933828382*c_0101_3*c_0101_6^2 + 40546204853417/7663966914191*c_0101_3*c_0101_6 + 2538883692396/7663966914191*c_0101_3, c_0011_6 - 2253124666862/7663966914191*c_0101_3*c_0101_6^12 - 4339632026012/7663966914191*c_0101_3*c_0101_6^11 - 64630678725107/7663966914191*c_0101_3*c_0101_6^10 - 29395027238785/7663966914191*c_0101_3*c_0101_6^9 - 342963480002940/7663966914191*c_0101_3*c_0101_6^8 + 39017173086765/15327933828382*c_0101_3*c_0101_6^7 - 87945606269545/1094852416313*c_0101_3*c_0101_6^6 + 86404023258470/7663966914191*c_0101_3*c_0101_6^5 - 837159208209671/15327933828382*c_0101_3*c_0101_6^4 + 7080057961229/2189704832626*c_0101_3*c_0101_6^3 - 76699572358758/7663966914191*c_0101_3*c_0101_6^2 - 36510673963637/15327933828382*c_0101_3*c_0101_6 + 2379965432014/7663966914191*c_0101_3, c_0101_0 - 66187716228/1094852416313*c_0101_6^12 + 57906894905/1094852416313*c_0101_6^11 - 1564031859878/1094852416313*c_0101_6^10 + 4345452625776/1094852416313*c_0101_6^9 - 16861374480445/2189704832626*c_0101_6^8 + 26656978841253/1094852416313*c_0101_6^7 - 23971252683135/1094852416313*c_0101_6^6 + 44541102763313/1094852416313*c_0101_6^5 - 25179562990019/1094852416313*c_0101_6^4 + 46571140616999/2189704832626*c_0101_6^3 - 17689791685085/2189704832626*c_0101_6^2 + 2855378840055/2189704832626*c_0101_6 - 1639071441123/2189704832626, c_0101_2 - 5211429460096/7663966914191*c_0101_3*c_0101_6^12 - 12257347423975/7663966914191*c_0101_3*c_0101_6^11 - 154917540122700/7663966914191*c_0101_3*c_0101_6^10 - 133426501642495/7663966914191*c_0101_3*c_0101_6^9 - 1706840756608699/15327933828382*c_0101_3*c_0101_6^8 - 292781730162317/7663966914191*c_0101_3*c_0101_6^7 - 442047811670143/2189704832626*c_0101_3*c_0101_6^6 - 636544194447761/15327933828382*c_0101_3*c_0101_6^5 - 2170247079550617/15327933828382*c_0101_3*c_0101_6^4 - 65675813206507/2189704832626*c_0101_3*c_0101_6^3 - 261147151173012/7663966914191*c_0101_3*c_0101_6^2 - 100846838636323/7663966914191*c_0101_3*c_0101_6 - 31352455115985/15327933828382*c_0101_3, c_0101_3^2 - 191145392349/1094852416313*c_0101_6^12 - 341113591219/1094852416313*c_0101_6^11 - 5445933609839/1094852416313*c_0101_6^10 - 3538670041383/2189704832626*c_0101_6^9 - 58436529123611/2189704832626*c_0101_6^8 + 9881961740607/2189704832626*c_0101_6^7 - 55047740423979/1094852416313*c_0101_6^6 + 23460171514525/2189704832626*c_0101_6^5 - 80450565206991/2189704832626*c_0101_6^4 + 3254139011659/1094852416313*c_0101_6^3 - 9538904925435/1094852416313*c_0101_6^2 - 2092509834582/1094852416313*c_0101_6 + 513345398335/1094852416313, c_0101_6^13 + 2*c_0101_6^12 + 29*c_0101_6^11 + 31/2*c_0101_6^10 + 158*c_0101_6^9 + 9/2*c_0101_6^8 + 295*c_0101_6^7 - 47/2*c_0101_6^6 + 213*c_0101_6^5 - 10*c_0101_6^4 + 50*c_0101_6^3 + 11/2*c_0101_6^2 + c_0101_6 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB