Magma V2.19-8 Tue Aug 20 2013 16:14:50 on localhost [Seed = 2160139500] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s803 geometric_solution 5.35615714 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 -1 2 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 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 0.306461140037 0.628432930494 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 -1 1 -1 0 1 0 -1 0 0 1 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694906784631 1.076900128442 1 3 0 4 1230 0132 0132 2310 0 0 0 0 0 1 -2 1 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 -1 1 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 0.694906784631 1.076900128442 1 2 3 3 0132 0132 2031 1302 0 0 0 0 0 -1 0 1 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 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 0.556172875914 0.812715125856 2 5 5 1 3201 0132 1023 0132 0 0 0 0 0 -1 0 1 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 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 0.319384306238 0.506423288370 5 4 4 5 3012 0132 1023 1230 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 1.873490281922 0.808670706110 ==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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], '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_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 52780382823667626/266577746008787*c_0101_5^19 - 15174218841431997/266577746008787*c_0101_5^18 - 630208724413211805/266577746008787*c_0101_5^17 - 927447121586256618/266577746008787*c_0101_5^16 + 4872439869022608826/266577746008787*c_0101_5^15 + 6333158846809929777/266577746008787*c_0101_5^14 - 19384463362413924313/266577746008787*c_0101_5^13 - 14402541977734142060/266577746008787*c_0101_5^12 + 43996024980603414766/266577746008787*c_0101_5^11 + 15290227692682042948/266577746008787*c_0101_5^10 - 65825662694722895417/266577746008787*c_0101_5^9 + 2978755634001864648/266577746008787*c_0101_5^8 + 56187648609108062135/266577746008787*c_0101_5^7 - 18417697465669482915/266577746008787*c_0101_5^6 - 24132455951664962813/266577746008787*c_0101_5^5 + 12744626600615871573/266577746008787*c_0101_5^4 + 4285234782768391677/266577746008787*c_0101_5^3 - 3126505822082518670/266577746008787*c_0101_5^2 - 121317217456432291/266577746008787*c_0101_5 + 201990115606356303/266577746008787, c_0011_0 - 1, c_0011_1 - 393700728305292/266577746008787*c_0101_5^19 - 347416202573721/266577746008787*c_0101_5^18 + 4716985450867333/266577746008787*c_0101_5^17 + 12249122310790537/266577746008787*c_0101_5^16 - 26860468741853701/266577746008787*c_0101_5^15 - 85395970530515242/266577746008787*c_0101_5^14 + 82811893882311177/266577746008787*c_0101_5^13 + 246215762660100549/266577746008787*c_0101_5^12 - 186968616356489407/266577746008787*c_0101_5^11 - 407604278761203297/266577746008787*c_0101_5^10 + 321780438199574389/266577746008787*c_0101_5^9 + 397001861159121585/266577746008787*c_0101_5^8 - 371590357098827413/266577746008787*c_0101_5^7 - 189110633530874342/266577746008787*c_0101_5^6 + 234092692894922441/266577746008787*c_0101_5^5 + 29070686466568550/266577746008787*c_0101_5^4 - 65363805124837011/266577746008787*c_0101_5^3 + 1273684552790901/266577746008787*c_0101_5^2 + 5122413067838406/266577746008787*c_0101_5 + 328529576673836/266577746008787, c_0011_4 + 587355094636530/266577746008787*c_0101_5^19 - 129018524389059/266577746008787*c_0101_5^18 - 6933971094270240/266577746008787*c_0101_5^17 - 10853480171981630/266577746008787*c_0101_5^16 + 52481888054484530/266577746008787*c_0101_5^15 + 72900756224539317/266577746008787*c_0101_5^14 - 202402927210029191/266577746008787*c_0101_5^13 - 167248413642746083/266577746008787*c_0101_5^12 + 444974070453019565/266577746008787*c_0101_5^11 + 191994325189247501/266577746008787*c_0101_5^10 - 649652748635540713/266577746008787*c_0101_5^9 - 16961413875191917/266577746008787*c_0101_5^8 + 530226726384418530/266577746008787*c_0101_5^7 - 126417037034510363/266577746008787*c_0101_5^6 - 218222399138875851/266577746008787*c_0101_5^5 + 82425838252134263/266577746008787*c_0101_5^4 + 40552550884613742/266577746008787*c_0101_5^3 - 16106872967707547/266577746008787*c_0101_5^2 - 2327368630558041/266577746008787*c_0101_5 + 539284146520379/266577746008787, c_0101_0 - 34316306044474/266577746008787*c_0101_5^19 - 117318017512305/266577746008787*c_0101_5^18 + 148634665763120/266577746008787*c_0101_5^17 + 2157607031478568/266577746008787*c_0101_5^16 + 2493070880706337/266577746008787*c_0101_5^15 - 10001679523829812/266577746008787*c_0101_5^14 - 27624549802134827/266577746008787*c_0101_5^13 + 18388858575245068/266577746008787*c_0101_5^12 + 97135850890176127/266577746008787*c_0101_5^11 - 33276383080262797/266577746008787*c_0101_5^10 - 182593283224272212/266577746008787*c_0101_5^9 + 64631480228907860/266577746008787*c_0101_5^8 + 217401675876866629/266577746008787*c_0101_5^7 - 115137359642363907/266577746008787*c_0101_5^6 - 128484178177595265/266577746008787*c_0101_5^5 + 95404243816603874/266577746008787*c_0101_5^4 + 28158501924521755/266577746008787*c_0101_5^3 - 29683693658495789/266577746008787*c_0101_5^2 - 377799972569882/266577746008787*c_0101_5 + 2139485838113583/266577746008787, c_0101_1 + 186509718978890/266577746008787*c_0101_5^19 + 62304703053092/266577746008787*c_0101_5^18 - 2165770770518205/266577746008787*c_0101_5^17 - 4589132639464734/266577746008787*c_0101_5^16 + 14084565942151469/266577746008787*c_0101_5^15 + 30295687778254964/266577746008787*c_0101_5^14 - 48316606047446345/266577746008787*c_0101_5^13 - 74937251589774872/266577746008787*c_0101_5^12 + 104708598155708707/266577746008787*c_0101_5^11 + 101593705133418340/266577746008787*c_0101_5^10 - 157071997232678826/266577746008787*c_0101_5^9 - 59643275195073495/266577746008787*c_0101_5^8 + 136684519884505824/266577746008787*c_0101_5^7 - 4478879256007179/266577746008787*c_0101_5^6 - 55572813176576987/266577746008787*c_0101_5^5 + 13881768108002551/266577746008787*c_0101_5^4 + 6830500699777223/266577746008787*c_0101_5^3 - 2629417013986014/266577746008787*c_0101_5^2 + 395756425191426/266577746008787*c_0101_5 + 168965630397052/266577746008787, c_0101_5^20 - 12*c_0101_5^18 - 21*c_0101_5^17 + 87*c_0101_5^16 + 146*c_0101_5^15 - 331*c_0101_5^14 - 375*c_0101_5^13 + 749*c_0101_5^12 + 521*c_0101_5^11 - 1151*c_0101_5^10 - 291*c_0101_5^9 + 1062*c_0101_5^8 - 49*c_0101_5^7 - 542*c_0101_5^6 + 110*c_0101_5^5 + 144*c_0101_5^4 - 35*c_0101_5^3 - 18*c_0101_5^2 + 3*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB