Magma V2.19-8 Tue Aug 20 2013 16:18:31 on localhost [Seed = 3734979564] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2712 geometric_solution 5.96388081 oriented_manifold CS_known -0.0000000000000003 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 -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 0.392772980070 0.268844765836 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.873498324151 0.917855717371 1 4 5 5 0132 0132 0132 2031 0 0 0 0 0 -1 1 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.279240512210 1.065139974319 4 5 4 1 2103 1023 3201 0132 0 0 0 0 0 -1 0 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 -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 -0.508396217123 1.024780375534 3 2 3 6 2310 0132 2103 0132 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 -1 0 1 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159212117292 0.668519466705 3 2 6 2 1023 1302 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.169572336462 0.592008479961 6 6 4 5 1302 2031 0132 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 0.316551835121 0.704170600385 ==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' : 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' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : negation(d['c_0101_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_0110_6'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_6'], '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_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], '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_1'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(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_6']), 'c_1001_2' : negation(d['c_0110_6']), '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_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_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_0011_6, c_0101_0, c_0101_1, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1819903183742/2432663077*c_0110_6^13 - 361301923402/2432663077*c_0110_6^12 - 79912263645/2432663077*c_0110_6^11 - 1838741199454/2432663077*c_0110_6^10 - 4009448993926/2432663077*c_0110_6^9 - 482107606432/187127929*c_0110_6^8 - 4907323454671/2432663077*c_0110_6^7 + 8086909480690/2432663077*c_0110_6^6 + 25222598979573/2432663077*c_0110_6^5 - 27743343932379/2432663077*c_0110_6^4 - 7240779958304/2432663077*c_0110_6^3 + 36663814179522/2432663077*c_0110_6^2 - 9115792069159/2432663077*c_0110_6 - 8965507476649/2432663077, c_0011_0 - 1, c_0011_1 + 541486/2102561*c_0110_6^13 + 702024/2102561*c_0110_6^12 + 228957/2102561*c_0110_6^11 + 998029/2102561*c_0110_6^10 + 2002888/2102561*c_0110_6^9 + 3742303/2102561*c_0110_6^8 + 4340047/2102561*c_0110_6^7 + 948372/2102561*c_0110_6^6 - 7666290/2102561*c_0110_6^5 + 2807367/2102561*c_0110_6^4 + 11062172/2102561*c_0110_6^3 - 11522190/2102561*c_0110_6^2 - 4479430/2102561*c_0110_6 + 2462513/2102561, c_0011_3 + 597773/2102561*c_0110_6^13 + 71440/2102561*c_0110_6^12 + 331305/2102561*c_0110_6^11 + 502988/2102561*c_0110_6^10 + 1581591/2102561*c_0110_6^9 + 2139419/2102561*c_0110_6^8 + 2402158/2102561*c_0110_6^7 - 1510152/2102561*c_0110_6^6 - 6904533/2102561*c_0110_6^5 + 8826967/2102561*c_0110_6^4 - 1328527/2102561*c_0110_6^3 - 5520479/2102561*c_0110_6^2 + 1170756/2102561*c_0110_6 + 419750/2102561, c_0011_6 - 747195/2102561*c_0110_6^13 - 419750/2102561*c_0110_6^12 - 597773/2102561*c_0110_6^11 - 818635/2102561*c_0110_6^10 - 2245445/2102561*c_0110_6^9 - 3584073/2102561*c_0110_6^8 - 4335231/2102561*c_0110_6^7 + 757056/2102561*c_0110_6^6 + 9410127/2102561*c_0110_6^5 - 6482608/2102561*c_0110_6^4 - 1398162/2102561*c_0110_6^3 + 6444378/2102561*c_0110_6^2 + 3418522/2102561*c_0110_6 - 1246051/2102561, c_0101_0 + 1014553/2102561*c_0110_6^13 + 474438/2102561*c_0110_6^12 + 467608/2102561*c_0110_6^11 + 1204148/2102561*c_0110_6^10 + 2969730/2102561*c_0110_6^9 + 4747624/2102561*c_0110_6^8 + 5112701/2102561*c_0110_6^7 - 1865531/2102561*c_0110_6^6 - 12489925/2102561*c_0110_6^5 + 12078500/2102561*c_0110_6^4 + 5521488/2102561*c_0110_6^3 - 14853347/2102561*c_0110_6^2 - 1916251/2102561*c_0110_6 + 2301975/2102561, c_0101_1 - 868931/2102561*c_0110_6^13 - 524001/2102561*c_0110_6^12 - 755290/2102561*c_0110_6^11 - 1065609/2102561*c_0110_6^10 - 2905845/2102561*c_0110_6^9 - 4485535/2102561*c_0110_6^8 - 5696359/2102561*c_0110_6^7 + 112092/2102561*c_0110_6^6 + 10109515/2102561*c_0110_6^5 - 8639008/2102561*c_0110_6^4 - 3213617/2102561*c_0110_6^3 + 7823291/2102561*c_0110_6^2 + 4052662/2102561*c_0110_6 - 858808/2102561, c_0110_6^14 + c_0110_6^11 + 2*c_0110_6^10 + 3*c_0110_6^9 + 2*c_0110_6^8 - 5*c_0110_6^7 - 13*c_0110_6^6 + 18*c_0110_6^5 + c_0110_6^4 - 21*c_0110_6^3 + 9*c_0110_6^2 + 4*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB