Magma V2.19-8 Tue Aug 20 2013 16:18:20 on localhost [Seed = 1478083959] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2546 geometric_solution 5.85658581 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.029872610294 1.070857790143 0 3 5 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722716402206 0.951404499684 3 0 4 5 2310 0132 3201 2310 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 0 0 0 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 0.722716402206 0.951404499684 6 1 2 6 0132 0132 3201 3201 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 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 -0.033358087219 0.431600839147 2 4 1 4 2310 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 0.793636673085 0.562823045674 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 -1 1 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 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 0.363279005115 0.558253269092 3 3 6 6 0132 2310 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 2.372039630371 0.839333341239 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : 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' : 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' : negation(d['c_0011_0']), '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' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_3'], '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_0101_6'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_3'], '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_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 1449123082585538406256895/32612012698502664983398*c_0101_6^22 + 871456994316249425035642699/130448050794010659933592*c_0101_6^20 - 11922422546388263368272422045/521792203176042639734368*c_0101_6^18 + 9181930449208914100178065479/260896101588021319867184*c_0101_6^16 - 560513819783910310696810723/16306006349251332491699*c_0101_6^14 + 14805095063513942661380899145/521792203176042639734368*c_0101_6^12 - 12465947845201458929248508953/521792203176042639734368*c_0101_6^10 + 8690966352291346970391571015/521792203176042639734368*c_0101_6^8 - 1996126706157657644936825715/260896101588021319867184*c_0101_6^6 + 1190622556608177815477997243/521792203176042639734368*c_0101_6^4 - 126148070488782324901912307/260896101588021319867184*c_0101_6^2 + 7136749900995412108266653/130448050794010659933592, c_0011_0 - 1, c_0011_4 - 74097103304654541133742/16306006349251332491699*c_0101_6^23 + 22337750941186265320450219/32612012698502664983398*c_0101_6^21 - 339584700921688009937980269/130448050794010659933592*c_0101_6^19 + 145036165991084135546927239/32612012698502664983398*c_0101_6^17 - 154111030935573772283276043/32612012698502664983398*c_0101_6^15 + 522434105722944241015314753/130448050794010659933592*c_0101_6^13 - 434678361385475029798813607/130448050794010659933592*c_0101_6^11 + 320484029207227258411975485/130448050794010659933592*c_0101_6^9 - 20801833513771087688194926/16306006349251332491699*c_0101_6^7 + 55993505354010024857944983/130448050794010659933592*c_0101_6^5 - 1563984146494082078159975/16306006349251332491699*c_0101_6^3 + 210701948515230257331206/16306006349251332491699*c_0101_6, c_0101_0 + 85196859337884885566638/16306006349251332491699*c_0101_6^23 - 25676813922889124870956843/32612012698502664983398*c_0101_6^21 + 386087270131697911768565741/130448050794010659933592*c_0101_6^19 - 160238397634213038598062903/32612012698502664983398*c_0101_6^17 + 164341797989452770766998759/32612012698502664983398*c_0101_6^15 - 547098221246233504949620873/130448050794010659933592*c_0101_6^13 + 458365973936099879367310167/130448050794010659933592*c_0101_6^11 - 334174383117770733384037485/130448050794010659933592*c_0101_6^9 + 20525849962805535075476519/16306006349251332491699*c_0101_6^7 - 52059563998387643677868895/130448050794010659933592*c_0101_6^5 + 1492497697382423512060769/16306006349251332491699*c_0101_6^3 - 196091002668463167940990/16306006349251332491699*c_0101_6, c_0101_1 - 50639767783949374141844/16306006349251332491699*c_0101_6^22 + 7614842222287973111808673/16306006349251332491699*c_0101_6^20 - 105055293796944247506218791/65224025397005329966796*c_0101_6^18 + 39580578564053378951224257/16306006349251332491699*c_0101_6^16 - 37058231700692242440681281/16306006349251332491699*c_0101_6^14 + 119260982641457089436826183/65224025397005329966796*c_0101_6^12 - 101562037104783610825870893/65224025397005329966796*c_0101_6^10 + 69972626629409739225197375/65224025397005329966796*c_0101_6^8 - 7281579063646050904888774/16306006349251332491699*c_0101_6^6 + 7548637636740832566791645/65224025397005329966796*c_0101_6^4 - 404562278736077840921053/16306006349251332491699*c_0101_6^2 + 41228459132360157386745/16306006349251332491699, c_0101_2 + 32025117257374262720/10921638546049117543*c_0101_6^23 - 4830349484440584033584/10921638546049117543*c_0101_6^21 + 18808775436360325562708/10921638546049117543*c_0101_6^19 - 32209177688709856866616/10921638546049117543*c_0101_6^17 + 33539632823187818881332/10921638546049117543*c_0101_6^15 - 27756526595815846269781/10921638546049117543*c_0101_6^13 + 23160728368905003835005/10921638546049117543*c_0101_6^11 - 17180830184275706794945/10921638546049117543*c_0101_6^9 + 8556020903873990799182/10921638546049117543*c_0101_6^7 - 2608325224418781942482/10921638546049117543*c_0101_6^5 + 586931193235104334383/10921638546049117543*c_0101_6^3 - 88933789370602350142/10921638546049117543*c_0101_6, c_0101_3 + 13449500737273202816/10921638546049117543*c_0101_6^22 - 2029568049047390010912/10921638546049117543*c_0101_6^20 + 8046394703809591372424/10921638546049117543*c_0101_6^18 - 14041685141955991954908/10921638546049117543*c_0101_6^16 + 14834877786663337256399/10921638546049117543*c_0101_6^14 - 12285071725522547321775/10921638546049117543*c_0101_6^12 + 10182630942322014807875/10921638546049117543*c_0101_6^10 - 7624669590414355440098/10921638546049117543*c_0101_6^8 + 3878762590028092149738/10921638546049117543*c_0101_6^6 - 1182456535234823680897/10921638546049117543*c_0101_6^4 + 258251580377876525961/10921638546049117543*c_0101_6^2 - 42946755803423380263/10921638546049117543, c_0101_6^24 - 605/4*c_0101_6^22 + 10411/16*c_0101_6^20 - 1257*c_0101_6^18 + 5943/4*c_0101_6^16 - 21279/16*c_0101_6^14 + 17709/16*c_0101_6^12 - 13671/16*c_0101_6^10 + 2021/4*c_0101_6^8 - 3241/16*c_0101_6^6 + 221/4*c_0101_6^4 - 21/2*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB