Magma V2.19-8 Tue Aug 20 2013 16:15:57 on localhost [Seed = 3633923300] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0193 geometric_solution 4.00489205 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0.624265184765 0.050992012153 2 0 2 0 0132 2310 1023 0132 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 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 0.784468647093 0.078987787722 1 3 1 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -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 1 -1 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524829706727 0.348996138008 4 2 5 2 0132 0132 0132 1023 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 -1 0 0 1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.889190092179 3.310680182979 3 5 5 6 0132 3201 2310 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 -1 0 1 0 -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 0.006024287769 0.578636739133 6 4 4 3 0132 3201 2310 0132 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 1 0 -1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.006024287769 0.578636739133 5 6 4 6 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.510446238655 0.901934114213 ==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' : 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_5'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], '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' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 492006059866781842017/933648777665743829*c_0101_4^14 + 6355981162945345910610/933648777665743829*c_0101_4^13 + 13768149094564702737382/933648777665743829*c_0101_4^12 - 6777068243915108304287/933648777665743829*c_0101_4^11 - 12980215500548794545657/933648777665743829*c_0101_4^10 - 56080681560230530172919/933648777665743829*c_0101_4^9 - 10800424966922738814838/933648777665743829*c_0101_4^8 + 153687687736000933456642/933648777665743829*c_0101_4^7 - 101552634430582750894743/933648777665743829*c_0101_4^6 - 22687989746008821133428/933648777665743829*c_0101_4^5 + 56612802310139604014346/933648777665743829*c_0101_4^4 - 8479545466788554087153/933648777665743829*c_0101_4^3 - 10190527142544823947176/933648777665743829*c_0101_4^2 - 6033008099127695926987/933648777665743829*c_0101_4 + 4037025444518592584092/933648777665743829, c_0011_0 - 1, c_0011_1 + 5547550102608880/4691702400330371*c_0101_4^14 + 76997743747785640/4691702400330371*c_0101_4^13 + 228913300490616470/4691702400330371*c_0101_4^12 + 138992820993826520/4691702400330371*c_0101_4^11 - 26787406945069892/4691702400330371*c_0101_4^10 - 668205960850997319/4691702400330371*c_0101_4^9 - 764819939471852232/4691702400330371*c_0101_4^8 + 1038191418462460661/4691702400330371*c_0101_4^7 - 98260353000891667/4691702400330371*c_0101_4^6 - 401749398996135809/4691702400330371*c_0101_4^5 + 253187763871980205/4691702400330371*c_0101_4^4 + 154741697643498255/4691702400330371*c_0101_4^3 + 36624958202160566/4691702400330371*c_0101_4^2 - 43515291966970014/4691702400330371*c_0101_4 - 3692075425947987/4691702400330371, c_0011_5 + 120280985265605/4691702400330371*c_0101_4^14 + 1329245738981236/4691702400330371*c_0101_4^13 + 142060759842191/4691702400330371*c_0101_4^12 - 12449107036572946/4691702400330371*c_0101_4^11 - 13880267419877918/4691702400330371*c_0101_4^10 - 17700582621508895/4691702400330371*c_0101_4^9 + 22501034810206645/4691702400330371*c_0101_4^8 + 81384082541617323/4691702400330371*c_0101_4^7 - 45435609297800048/4691702400330371*c_0101_4^6 - 10092717239289760/4691702400330371*c_0101_4^5 + 26878474501286792/4691702400330371*c_0101_4^4 - 15558689005724824/4691702400330371*c_0101_4^3 - 9681300726323579/4691702400330371*c_0101_4^2 - 5006834294114475/4691702400330371*c_0101_4 - 274440440446847/4691702400330371, c_0101_0 + 1695211657206396/4691702400330371*c_0101_4^14 + 23706086829766403/4691702400330371*c_0101_4^13 + 72477178108310414/4691702400330371*c_0101_4^12 + 50739733936863892/4691702400330371*c_0101_4^11 - 410083338075429/4691702400330371*c_0101_4^10 - 200105339736723944/4691702400330371*c_0101_4^9 - 248452430320959883/4691702400330371*c_0101_4^8 + 290529782593005070/4691702400330371*c_0101_4^7 - 5975881541879186/4691702400330371*c_0101_4^6 - 128810448753989673/4691702400330371*c_0101_4^5 + 51954882989980159/4691702400330371*c_0101_4^4 + 67519119557072446/4691702400330371*c_0101_4^3 + 10245212346923162/4691702400330371*c_0101_4^2 - 15930674559686406/4691702400330371*c_0101_4 + 1782366099134517/4691702400330371, c_0101_1 + 8130577281237041/4691702400330371*c_0101_4^14 + 113204681032938879/4691702400330371*c_0101_4^13 + 340276228799628143/4691702400330371*c_0101_4^12 + 216124618056736961/4691702400330371*c_0101_4^11 - 37696939353044653/4691702400330371*c_0101_4^10 - 986567534785344600/4691702400330371*c_0101_4^9 - 1161940564015166254/4691702400330371*c_0101_4^8 + 1491046730693238244/4691702400330371*c_0101_4^7 - 50912602813278517/4691702400330371*c_0101_4^6 - 627215360751724820/4691702400330371*c_0101_4^5 + 332960220174534116/4691702400330371*c_0101_4^4 + 286697666896319703/4691702400330371*c_0101_4^3 + 54163134095033340/4691702400330371*c_0101_4^2 - 75997224950001307/4691702400330371*c_0101_4 - 7066241598079654/4691702400330371, c_0101_3 - 1627191084749355/4691702400330371*c_0101_4^14 - 22958950920808839/4691702400330371*c_0101_4^13 - 72321524381606229/4691702400330371*c_0101_4^12 - 56105994171875115/4691702400330371*c_0101_4^11 - 2610556840218748/4691702400330371*c_0101_4^10 + 192356330461561855/4691702400330371*c_0101_4^9 + 263840414742400547/4691702400330371*c_0101_4^8 - 256009289357037183/4691702400330371*c_0101_4^7 - 27926258296747431/4691702400330371*c_0101_4^6 + 152236148317467432/4691702400330371*c_0101_4^5 - 60884088053838671/4691702400330371*c_0101_4^4 - 72260696417307616/4691702400330371*c_0101_4^3 - 14437743862462168/4691702400330371*c_0101_4^2 + 11990836155381752/4691702400330371*c_0101_4 + 283579967611633/4691702400330371, c_0101_4^15 + 13*c_0101_4^14 + 29*c_0101_4^13 - 12*c_0101_4^12 - 29*c_0101_4^11 - 117*c_0101_4^10 - 31*c_0101_4^9 + 315*c_0101_4^8 - 176*c_0101_4^7 - 70*c_0101_4^6 + 112*c_0101_4^5 - 5*c_0101_4^4 - 24*c_0101_4^3 - 15*c_0101_4^2 + 7*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB