Magma V2.19-8 Tue Aug 20 2013 16:16:42 on localhost [Seed = 2378961220] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0998 geometric_solution 4.88682667 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 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 1 0 -1 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 1.442442502518 0.843357661236 0 3 2 4 0132 1230 1230 0132 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 0 0 0 0 1 -1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.966691953001 0.604147656723 0 0 3 1 3201 0132 3012 3012 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 -1 0 1 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 0.545489893087 0.825104285279 4 2 1 0 3201 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.966691953001 0.604147656723 5 5 1 3 0132 2310 0132 2310 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 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 0.478647260895 0.650994563075 4 6 6 4 0132 0132 3201 3201 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 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 0 0 0 0 0 0 0 0 -0.609335227835 0.344326034895 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 -1 1 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 -1 1 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 2.515811014412 0.231863206953 ==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' : negation(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' : negation(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' : negation(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' : negation(d['1']), 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 18539/13540352*c_0101_6^17 - 35115/6770176*c_0101_6^15 - 6819053/13540352*c_0101_6^13 - 53309873/13540352*c_0101_6^11 - 26322885/3385088*c_0101_6^9 - 21263623/3385088*c_0101_6^7 - 953311/1934336*c_0101_6^5 + 24094639/13540352*c_0101_6^3 + 15891571/13540352*c_0101_6, c_0011_0 - 1, c_0011_3 + 6081/128452*c_0101_6^17 + 29282/32113*c_0101_6^15 + 631373/128452*c_0101_6^13 + 512783/128452*c_0101_6^11 - 211376/32113*c_0101_6^9 - 1182727/64226*c_0101_6^7 - 1558041/128452*c_0101_6^5 - 212237/128452*c_0101_6^3 + 382027/128452*c_0101_6, c_0011_4 + 37879/128452*c_0101_6^17 + 203951/32113*c_0101_6^15 + 5705585/128452*c_0101_6^13 + 14507973/128452*c_0101_6^11 + 4457511/32113*c_0101_6^9 + 2489656/32113*c_0101_6^7 - 63395/128452*c_0101_6^5 - 3061613/128452*c_0101_6^3 - 1273941/128452*c_0101_6, c_0101_0 - 51225/256904*c_0101_6^17 - 1103373/256904*c_0101_6^15 - 3855035/128452*c_0101_6^13 - 19480899/256904*c_0101_6^11 - 23413417/256904*c_0101_6^9 - 13507025/256904*c_0101_6^7 - 240283/64226*c_0101_6^5 + 3298717/256904*c_0101_6^3 + 252894/32113*c_0101_6, c_0101_1 + 8767/64226*c_0101_6^16 + 196467/64226*c_0101_6^14 + 1477123/64226*c_0101_6^12 + 2171314/32113*c_0101_6^10 + 3002799/32113*c_0101_6^8 + 3914295/64226*c_0101_6^6 + 130930/32113*c_0101_6^4 - 613254/32113*c_0101_6^2 - 335145/32113, c_0101_3 + 56331/256904*c_0101_6^17 + 1226911/256904*c_0101_6^15 + 1096914/32113*c_0101_6^13 + 23530237/256904*c_0101_6^11 + 30922219/256904*c_0101_6^9 + 18734301/256904*c_0101_6^7 + 101681/64226*c_0101_6^5 - 5802337/256904*c_0101_6^3 - 1347253/128452*c_0101_6, c_0101_6^18 + 22*c_0101_6^16 + 161*c_0101_6^14 + 461*c_0101_6^12 + 700*c_0101_6^10 + 580*c_0101_6^8 + 205*c_0101_6^6 - 67*c_0101_6^4 - 95*c_0101_6^2 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB