Magma V2.19-8 Tue Aug 20 2013 16:19:15 on localhost [Seed = 509575959] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3373 geometric_solution 6.54663670 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3120 0132 0132 0 0 0 0 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 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 0.370147461166 0.994660682428 0 0 2 4 0132 3120 0213 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400446208189 0.466092325036 5 1 4 0 0132 0213 1230 0132 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 0 0 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 0.312898636105 0.577588644488 6 4 0 5 0132 3120 0132 1023 0 0 0 0 0 0 0 0 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 1 -1 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 0.186768478400 0.722359379426 5 3 1 2 2103 3120 0132 3012 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 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 0.535174306761 0.567124685377 2 6 4 3 0132 2103 2103 1023 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 0 0 -1 0 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 0.676501393626 1.929190379511 3 5 6 6 0132 2103 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.902434187314 0.996094787460 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : 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' : 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' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : d['c_1001_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_2, c_0011_3, c_0101_0, c_0101_6, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 402616983604887202/72369916963780743*c_1001_0^18 + 9197280799372253261/168863139582155067*c_1001_0^17 + 82988908246661286577/506589418746465201*c_1001_0^16 + 43779083812262047855/506589418746465201*c_1001_0^15 - 186729125324171069711/506589418746465201*c_1001_0^14 - 44215065656813874584/72369916963780743*c_1001_0^13 - 115278934378443666518/168863139582155067*c_1001_0^12 - 258424362337080375404/168863139582155067*c_1001_0^11 - 336136937339848079671/168863139582155067*c_1001_0^10 - 252284774631433166228/168863139582155067*c_1001_0^9 - 659922955820745339488/506589418746465201*c_1001_0^8 - 275318867084722279612/506589418746465201*c_1001_0^7 + 87117352660301579872/506589418746465201*c_1001_0^6 + 2172510478790719287/56287713194051689*c_1001_0^5 - 7323075810839176664/72369916963780743*c_1001_0^4 - 11979870063004625191/72369916963780743*c_1001_0^3 + 51488837974611328700/506589418746465201*c_1001_0^2 - 10811739025376451395/506589418746465201*c_1001_0 - 14832667007843783948/506589418746465201, c_0011_0 - 1, c_0011_2 - 207101094871386/56287713194051689*c_1001_0^18 - 1685635052971777/56287713194051689*c_1001_0^17 - 1694573127630410/56287713194051689*c_1001_0^16 + 16277799481933057/56287713194051689*c_1001_0^15 + 6015545502528556/8041101884864527*c_1001_0^14 - 1438136884775127/56287713194051689*c_1001_0^13 - 72535331210216382/56287713194051689*c_1001_0^12 - 45689811756754300/56287713194051689*c_1001_0^11 - 125732521176426104/56287713194051689*c_1001_0^10 - 294636135141432671/56287713194051689*c_1001_0^9 - 238148278673749226/56287713194051689*c_1001_0^8 - 235250871540088284/56287713194051689*c_1001_0^7 - 174818459331909829/56287713194051689*c_1001_0^6 + 3491708349651854/8041101884864527*c_1001_0^5 + 11289814963363527/8041101884864527*c_1001_0^4 + 82752236775668270/56287713194051689*c_1001_0^3 + 5040137868107765/56287713194051689*c_1001_0^2 + 95305010248610212/56287713194051689*c_1001_0 - 421463233128162/8041101884864527, c_0011_3 + 41902848333079/56287713194051689*c_1001_0^18 - 942662167666211/56287713194051689*c_1001_0^17 - 8873803226415116/56287713194051689*c_1001_0^16 - 12082456706943246/56287713194051689*c_1001_0^15 + 5748584336748722/8041101884864527*c_1001_0^14 + 82516074887276185/56287713194051689*c_1001_0^13 - 19652246487338796/56287713194051689*c_1001_0^12 - 30087267491175742/56287713194051689*c_1001_0^11 + 73295592937853281/56287713194051689*c_1001_0^10 - 142999770305391044/56287713194051689*c_1001_0^9 - 297699016043288450/56287713194051689*c_1001_0^8 - 222149823617287723/56287713194051689*c_1001_0^7 - 315183932590320851/56287713194051689*c_1001_0^6 - 30095358569146779/8041101884864527*c_1001_0^5 + 90668525529707/8041101884864527*c_1001_0^4 + 17026291781620173/56287713194051689*c_1001_0^3 - 66321760154127837/56287713194051689*c_1001_0^2 + 6779865437446525/56287713194051689*c_1001_0 + 6508753289345542/8041101884864527, c_0101_0 - 140487744376054/8041101884864527*c_1001_0^18 - 8643626800820016/56287713194051689*c_1001_0^17 - 19949477580940539/56287713194051689*c_1001_0^16 + 6611644180792300/56287713194051689*c_1001_0^15 + 53544609472965781/56287713194051689*c_1001_0^14 + 1851768182530468/8041101884864527*c_1001_0^13 + 57492746890820673/56287713194051689*c_1001_0^12 + 273151830179221494/56287713194051689*c_1001_0^11 + 207953156511096670/56287713194051689*c_1001_0^10 + 175886645918677382/56287713194051689*c_1001_0^9 + 388060485151508581/56287713194051689*c_1001_0^8 + 188977568142130326/56287713194051689*c_1001_0^7 + 160511391532027556/56287713194051689*c_1001_0^6 + 189569672491395499/56287713194051689*c_1001_0^5 - 3632196094027908/8041101884864527*c_1001_0^4 - 9884937519602987/8041101884864527*c_1001_0^3 - 117171734147801500/56287713194051689*c_1001_0^2 + 23478874240231197/56287713194051689*c_1001_0 - 42950953897088035/56287713194051689, c_0101_6 - 488626775148634/56287713194051689*c_1001_0^18 - 8563384037279556/56287713194051689*c_1001_0^17 - 49439250324723018/56287713194051689*c_1001_0^16 - 102169724418848391/56287713194051689*c_1001_0^15 + 11181676898999616/56287713194051689*c_1001_0^14 + 291365108922001635/56287713194051689*c_1001_0^13 + 359932070557005988/56287713194051689*c_1001_0^12 + 509949730789792175/56287713194051689*c_1001_0^11 + 1101077446422213842/56287713194051689*c_1001_0^10 + 1131673375881041925/56287713194051689*c_1001_0^9 + 795429209352260942/56287713194051689*c_1001_0^8 + 755520309646029302/56287713194051689*c_1001_0^7 + 141313336242081650/56287713194051689*c_1001_0^6 - 233627599072669982/56287713194051689*c_1001_0^5 - 2614644326837011/8041101884864527*c_1001_0^4 - 38638862306972352/56287713194051689*c_1001_0^3 - 50547736735616965/56287713194051689*c_1001_0^2 - 69844377520637389/56287713194051689*c_1001_0 + 38680778488747135/56287713194051689, c_0110_4 + 805139409761681/56287713194051689*c_1001_0^18 + 5781975841279934/56287713194051689*c_1001_0^17 + 672454796194916/8041101884864527*c_1001_0^16 - 34016284962623786/56287713194051689*c_1001_0^15 - 40508811275393038/56287713194051689*c_1001_0^14 + 71377716340172108/56287713194051689*c_1001_0^13 + 30445688219696371/56287713194051689*c_1001_0^12 - 16178232621288100/8041101884864527*c_1001_0^11 + 97245134468776687/56287713194051689*c_1001_0^10 + 81936236767853514/56287713194051689*c_1001_0^9 - 163164668354989597/56287713194051689*c_1001_0^8 - 29898792020445833/56287713194051689*c_1001_0^7 - 181846833556519744/56287713194051689*c_1001_0^6 - 268805478329811574/56287713194051689*c_1001_0^5 - 7893693309822722/8041101884864527*c_1001_0^4 + 56905886448614634/56287713194051689*c_1001_0^3 + 3981807950065926/8041101884864527*c_1001_0^2 - 21357035987819607/56287713194051689*c_1001_0 + 42329650612473877/56287713194051689, c_1001_0^19 + 9*c_1001_0^18 + 22*c_1001_0^17 - 5*c_1001_0^16 - 71*c_1001_0^15 - 56*c_1001_0^14 - 57*c_1001_0^13 - 204*c_1001_0^12 - 165*c_1001_0^11 - 51*c_1001_0^10 - 95*c_1001_0^9 + 50*c_1001_0^8 + 76*c_1001_0^7 - 15*c_1001_0^6 + c_1001_0^5 - 10*c_1001_0^4 + 35*c_1001_0^3 - 29*c_1001_0^2 + 4*c_1001_0 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB