Magma V2.19-8 Tue Aug 20 2013 16:17:06 on localhost [Seed = 4155927334] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1355 geometric_solution 5.22351147 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 0 1 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 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 0.476982760656 0.533629863269 0 3 2 4 0132 0132 1230 0132 0 0 0 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 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 1.068890216274 1.041689611371 3 0 4 1 2310 0132 2310 3012 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 -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 1.068890216274 1.041689611371 3 1 2 3 3012 0132 3201 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132367381927 0.584676077139 5 2 1 5 0132 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681052661893 0.360192155405 4 6 6 4 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.259093546596 0.415023749049 6 5 5 6 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.571253777990 0.206682351536 ==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' : 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' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 3142868297032668/291113588059789*c_0101_6^17 + 3503208346518997/291113588059789*c_0101_6^16 + 5849735615818039/26464871641799*c_0101_6^15 - 49698474942664301/291113588059789*c_0101_6^14 - 497365464783939438/291113588059789*c_0101_6^13 + 233210331120103508/291113588059789*c_0101_6^12 + 1757351286892080095/291113588059789*c_0101_6^11 - 416626893472654794/291113588059789*c_0101_6^10 - 2759406472665800196/291113588059789*c_0101_6^9 + 28664451636807715/26464871641799*c_0101_6^8 + 1996727501611539302/291113588059789*c_0101_6^7 + 197506937104170087/291113588059789*c_0101_6^6 - 775923836158110124/291113588059789*c_0101_6^5 - 386046456778515116/291113588059789*c_0101_6^4 + 148102989978388000/291113588059789*c_0101_6^3 + 157077393863157160/291113588059789*c_0101_6^2 + 7972522158199913/291113588059789*c_0101_6 - 1598281048863434/291113588059789, c_0011_0 - 1, c_0011_4 + 1561914627497/291113588059789*c_0101_6^17 + 35916731356211/291113588059789*c_0101_6^16 - 92232876088213/291113588059789*c_0101_6^15 - 714108006502729/291113588059789*c_0101_6^14 + 1195472396819034/291113588059789*c_0101_6^13 + 5326488052310804/291113588059789*c_0101_6^12 - 6216539172052074/291113588059789*c_0101_6^11 - 17845548288420997/291113588059789*c_0101_6^10 + 14611509825778004/291113588059789*c_0101_6^9 + 25155401432520993/291113588059789*c_0101_6^8 - 15973283012091602/291113588059789*c_0101_6^7 - 15128634200404920/291113588059789*c_0101_6^6 + 4895047627863809/291113588059789*c_0101_6^5 + 7115890186453657/291113588059789*c_0101_6^4 + 475285177534492/291113588059789*c_0101_6^3 - 2033926701382311/291113588059789*c_0101_6^2 - 457644069118408/291113588059789*c_0101_6 - 14173387746996/291113588059789, c_0101_0 - 61972565230792/291113588059789*c_0101_6^17 + 82494373138785/291113588059789*c_0101_6^16 + 1215700722173027/291113588059789*c_0101_6^15 - 1199120479288628/291113588059789*c_0101_6^14 - 8856157945520943/291113588059789*c_0101_6^13 + 5887467585647154/291113588059789*c_0101_6^12 + 2579222196253220/26464871641799*c_0101_6^11 - 1030897252965143/26464871641799*c_0101_6^10 - 36228828532537847/291113588059789*c_0101_6^9 + 8200330895604022/291113588059789*c_0101_6^8 + 18668072019701563/291113588059789*c_0101_6^7 + 5316697669192139/291113588059789*c_0101_6^6 - 713787559871117/26464871641799*c_0101_6^5 - 4427959415405695/291113588059789*c_0101_6^4 + 210417046074954/291113588059789*c_0101_6^3 + 942427773116741/291113588059789*c_0101_6^2 + 793413192443650/291113588059789*c_0101_6 + 50459547068625/291113588059789, c_0101_1 - 39865599093752/291113588059789*c_0101_6^17 + 136662274834029/291113588059789*c_0101_6^16 + 659280882730263/291113588059789*c_0101_6^15 - 2401244531224068/291113588059789*c_0101_6^14 - 3837625793250376/291113588059789*c_0101_6^13 + 15594986443624519/291113588059789*c_0101_6^12 + 8385634979357151/291113588059789*c_0101_6^11 - 44904359360421040/291113588059789*c_0101_6^10 - 997906709763380/291113588059789*c_0101_6^9 + 52562696888287783/291113588059789*c_0101_6^8 - 952829971057205/26464871641799*c_0101_6^7 - 18621489182361303/291113588059789*c_0101_6^6 - 4142966506345703/291113588059789*c_0101_6^5 + 6063727947403372/291113588059789*c_0101_6^4 + 439944531158901/26464871641799*c_0101_6^3 - 1604422975078670/291113588059789*c_0101_6^2 - 741486787178407/291113588059789*c_0101_6 - 34331743125252/291113588059789, c_0101_2 - 27743219571766/291113588059789*c_0101_6^17 + 18984730721821/291113588059789*c_0101_6^16 + 575325505596055/291113588059789*c_0101_6^15 - 187199580094129/291113588059789*c_0101_6^14 - 406000536493388/26464871641799*c_0101_6^13 + 74491760955174/291113588059789*c_0101_6^12 + 15640274363138451/291113588059789*c_0101_6^11 + 3408123044195304/291113588059789*c_0101_6^10 - 23992673099288917/291113588059789*c_0101_6^9 - 8388214671053500/291113588059789*c_0101_6^8 + 18106042348405459/291113588059789*c_0101_6^7 + 10015436226646053/291113588059789*c_0101_6^6 - 8240027574462914/291113588059789*c_0101_6^5 - 5646274225381183/291113588059789*c_0101_6^4 + 1702113287848780/291113588059789*c_0101_6^3 + 1248199006871680/291113588059789*c_0101_6^2 + 14308512133653/26464871641799*c_0101_6 - 155183021157521/291113588059789, c_0101_5 + 2868093360771/26464871641799*c_0101_6^17 - 72049633103656/291113588059789*c_0101_6^16 - 563642561117389/291113588059789*c_0101_6^15 + 1194448492755372/291113588059789*c_0101_6^14 + 3606703644598015/291113588059789*c_0101_6^13 - 7282468185118020/291113588059789*c_0101_6^12 - 9089610116133913/291113588059789*c_0101_6^11 + 20118048350323694/291113588059789*c_0101_6^10 + 4279213394437197/291113588059789*c_0101_6^9 - 25177421262454953/291113588059789*c_0101_6^8 + 7178635555295057/291113588059789*c_0101_6^7 + 11172655105301961/291113588059789*c_0101_6^6 - 1892715064388377/291113588059789*c_0101_6^5 - 4640947358552832/291113588059789*c_0101_6^4 - 208595509088265/291113588059789*c_0101_6^3 + 1360021228060592/291113588059789*c_0101_6^2 + 268790255747249/291113588059789*c_0101_6 - 67325282285870/291113588059789, c_0101_6^18 - 2*c_0101_6^17 - 19*c_0101_6^16 + 33*c_0101_6^15 + 135*c_0101_6^14 - 199*c_0101_6^13 - 428*c_0101_6^12 + 537*c_0101_6^11 + 556*c_0101_6^10 - 640*c_0101_6^9 - 293*c_0101_6^8 + 229*c_0101_6^7 + 188*c_0101_6^6 - 18*c_0101_6^5 - 85*c_0101_6^4 - 8*c_0101_6^3 + 11*c_0101_6^2 + 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB