Magma V2.19-8 Tue Aug 20 2013 16:16:32 on localhost [Seed = 1899031976] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0816 geometric_solution 4.74857170 oriented_manifold CS_known -0.0000000000000001 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 0.384482012471 0.232735676513 2 0 3 0 0132 2310 0132 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 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 0.712069253797 0.919464984074 1 4 3 3 0132 0132 3012 1230 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 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 1.307654617706 1.220840540132 2 2 4 1 3012 1230 0132 0132 0 0 0 0 0 0 1 -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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.307654617706 1.220840540132 5 2 5 3 0132 0132 1023 0132 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 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 0.721740532394 0.765832084128 4 6 4 6 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657685492161 0.160867016870 6 5 6 5 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620559761925 0.051966557524 ==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' : negation(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' : d['1'], 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), '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_3'], 'c_0101_6' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_3'], '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_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0101_0, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 44177986698215409/119462611206748*c_0110_6^23 + 1318650170700459803/119462611206748*c_0110_6^21 - 13584003726199865007/119462611206748*c_0110_6^19 + 16329687687364227054/29865652801687*c_0110_6^17 - 229287791263133967341/119462611206748*c_0110_6^15 + 511965482975734865311/119462611206748*c_0110_6^13 - 549889435800751422137/119462611206748*c_0110_6^11 + 242705307801623517729/119462611206748*c_0110_6^9 - 48227600596686296751/59731305603374*c_0110_6^7 + 15670069818235603199/59731305603374*c_0110_6^5 - 5244753869539123503/119462611206748*c_0110_6^3 + 330827128954681567/119462611206748*c_0110_6, c_0011_0 - 1, c_0011_1 - 12376540619625/29865652801687*c_0110_6^22 + 374674079050437/29865652801687*c_0110_6^20 - 3960726058087333/29865652801687*c_0110_6^18 + 19866155233487909/29865652801687*c_0110_6^16 - 71515537073808836/29865652801687*c_0110_6^14 + 168421560497272812/29865652801687*c_0110_6^12 - 207115665075213660/29865652801687*c_0110_6^10 + 116681871724805137/29865652801687*c_0110_6^8 - 40165557906614063/29865652801687*c_0110_6^6 + 15564306403284243/29865652801687*c_0110_6^4 - 2980069012690101/29865652801687*c_0110_6^2 + 160826544691017/29865652801687, c_0011_3 - 225039175607503/29865652801687*c_0110_6^22 + 6710127870928205/29865652801687*c_0110_6^20 - 68987987713762983/29865652801687*c_0110_6^18 + 330592359105711280/29865652801687*c_0110_6^16 - 1157746184077060039/29865652801687*c_0110_6^14 + 2572134949568860238/29865652801687*c_0110_6^12 - 2721772193144852688/29865652801687*c_0110_6^10 + 1153047159440090797/29865652801687*c_0110_6^8 - 457404733552121844/29865652801687*c_0110_6^6 + 146851896891709662/29865652801687*c_0110_6^4 - 22525181261041657/29865652801687*c_0110_6^2 + 1189876893860277/29865652801687, c_0101_0 - 310520165122634/29865652801687*c_0110_6^23 + 9231786870338267/29865652801687*c_0110_6^21 - 94388311763198396/29865652801687*c_0110_6^19 + 448004085140937799/29865652801687*c_0110_6^17 - 1559295525338230709/29865652801687*c_0110_6^15 + 3417317813585733908/29865652801687*c_0110_6^13 - 3472515855212783145/29865652801687*c_0110_6^11 + 1321337976479017125/29865652801687*c_0110_6^9 - 547859757926708584/29865652801687*c_0110_6^7 + 164367546419904171/29865652801687*c_0110_6^5 - 21129202573294852/29865652801687*c_0110_6^3 + 874858313725204/29865652801687*c_0110_6, c_0101_3 + 199170138230510/29865652801687*c_0110_6^23 - 5938343883287934/29865652801687*c_0110_6^21 + 61045006322248005/29865652801687*c_0110_6^19 - 292465904520862588/29865652801687*c_0110_6^17 + 1024110293294150599/29865652801687*c_0110_6^15 - 2274622136043286109/29865652801687*c_0110_6^13 + 2405253539948440976/29865652801687*c_0110_6^11 - 1017893672823054023/29865652801687*c_0110_6^9 + 404631582933434656/29865652801687*c_0110_6^7 - 129245906252318187/29865652801687*c_0110_6^5 + 19883270669299972/29865652801687*c_0110_6^3 - 1011827319614984/29865652801687*c_0110_6, c_0101_4 - 107838689101071/29865652801687*c_0110_6^22 + 3219316694958011/29865652801687*c_0110_6^20 - 33172195550578554/29865652801687*c_0110_6^18 + 159565888387302827/29865652801687*c_0110_6^16 - 560140834260200338/29865652801687*c_0110_6^14 + 1250979761207596985/29865652801687*c_0110_6^12 - 1343626812035713437/29865652801687*c_0110_6^10 + 589422796324023711/29865652801687*c_0110_6^8 - 229897777023621913/29865652801687*c_0110_6^6 + 75467666629012638/29865652801687*c_0110_6^4 - 11983357878123032/29865652801687*c_0110_6^2 + 637944397085821/29865652801687, c_0110_6^24 - 30*c_0110_6^22 + 312*c_0110_6^20 - 1525*c_0110_6^18 + 5413*c_0110_6^16 - 12370*c_0110_6^14 + 14186*c_0110_6^12 - 7344*c_0110_6^10 + 2981*c_0110_6^8 - 1028*c_0110_6^6 + 221*c_0110_6^4 - 24*c_0110_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB