Magma V2.19-8 Tue Aug 20 2013 16:16:21 on localhost [Seed = 1848636045] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0628 geometric_solution 4.62427984 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.770743827123 0.322890481943 0 2 2 0 3201 0132 3201 0132 0 0 0 0 0 1 0 -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 0 0 -1 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 -0.373829071804 0.210448207369 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 -1 1 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.196363652564 1.537234825565 4 5 4 2 1302 0132 1230 0132 0 0 0 0 0 0 1 -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 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 0.606005272352 0.672511997888 5 3 2 3 3201 2031 0132 3012 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 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 0.606005272352 0.672511997888 6 3 6 4 0132 0132 2310 2310 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 0 0 0 0 0 1 -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 0.540738024216 1.090612882883 5 5 6 6 0132 3201 2031 1302 0 0 0 0 0 1 0 -1 0 0 1 -1 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 1 -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 0.477055550811 0.150581542022 ==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_0']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), '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_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 6282478294231/390247760*c_0110_4^15 + 15194410075291/390247760*c_0110_4^14 + 5500719967492/24390485*c_0110_4^13 - 95156423776563/390247760*c_0110_4^12 + 334887991209363/195123880*c_0110_4^11 - 919508417625587/390247760*c_0110_4^10 + 66150938324819/27874840*c_0110_4^9 - 62868176619667/97561940*c_0110_4^8 - 10605237734272/3484355*c_0110_4^7 + 63905257385701/13937420*c_0110_4^6 - 1289285998420263/390247760*c_0110_4^5 + 133604799058441/195123880*c_0110_4^4 + 434252528247479/390247760*c_0110_4^3 - 395916105808331/390247760*c_0110_4^2 + 8023194700163/24390485*c_0110_4 - 14819094903929/390247760, c_0011_0 - 1, c_0011_1 - 475930731/99553*c_0110_4^15 - 1168901086/99553*c_0110_4^14 - 6720479038/99553*c_0110_4^13 + 6928827371/99553*c_0110_4^12 - 50625478307/99553*c_0110_4^11 + 67817967597/99553*c_0110_4^10 - 68575639651/99553*c_0110_4^9 + 17300737452/99553*c_0110_4^8 + 89718473091/99553*c_0110_4^7 - 132329209508/99553*c_0110_4^6 + 94389749398/99553*c_0110_4^5 - 18409206102/99553*c_0110_4^4 - 32634922619/99553*c_0110_4^3 + 28908206098/99553*c_0110_4^2 - 9205456870/99553*c_0110_4 + 1046413786/99553, c_0011_3 - 434834421/398212*c_0110_4^15 - 1024539239/398212*c_0110_4^14 - 1503331121/99553*c_0110_4^13 + 7002849133/398212*c_0110_4^12 - 11643327632/99553*c_0110_4^11 + 66435268527/398212*c_0110_4^10 - 33381561329/199106*c_0110_4^9 + 5042020514/99553*c_0110_4^8 + 20603532742/99553*c_0110_4^7 - 32218183143/99553*c_0110_4^6 + 94616138577/398212*c_0110_4^5 - 5389965119/99553*c_0110_4^4 - 30324851407/398212*c_0110_4^3 + 29146276905/398212*c_0110_4^2 - 4891150169/199106*c_0110_4 + 1164717741/398212, c_0101_0 + 12411171/199106*c_0110_4^15 + 4458049/199106*c_0110_4^14 + 50102398/99553*c_0110_4^13 - 580298547/199106*c_0110_4^12 + 764018311/99553*c_0110_4^11 - 4448218923/199106*c_0110_4^10 + 2175179125/99553*c_0110_4^9 - 1553571553/99553*c_0110_4^8 - 1264008799/99553*c_0110_4^7 + 4137303734/99553*c_0110_4^6 - 7634487301/199106*c_0110_4^5 + 1716407025/99553*c_0110_4^4 + 1103990545/199106*c_0110_4^3 - 2428876123/199106*c_0110_4^2 + 552605931/99553*c_0110_4 - 161928187/199106, c_0101_2 + 182470830/99553*c_0110_4^15 + 434932666/99553*c_0110_4^14 + 2538136347/99553*c_0110_4^13 - 2860724736/99553*c_0110_4^12 + 19509236268/99553*c_0110_4^11 - 27363127369/99553*c_0110_4^10 + 27556904171/99553*c_0110_4^9 - 7967501217/99553*c_0110_4^8 - 34521350635/99553*c_0110_4^7 + 53167598546/99553*c_0110_4^6 - 38761098669/99553*c_0110_4^5 + 8518147384/99553*c_0110_4^4 + 12658903465/99553*c_0110_4^3 - 11920725965/99553*c_0110_4^2 + 3953289146/99553*c_0110_4 - 466219268/99553, c_0101_5 - 1371862363/398212*c_0110_4^15 - 3378333129/398212*c_0110_4^14 - 4849595332/99553*c_0110_4^13 + 19831584399/398212*c_0110_4^12 - 36467016916/99553*c_0110_4^11 + 194559200509/398212*c_0110_4^10 - 98430860529/199106*c_0110_4^9 + 12249256406/99553*c_0110_4^8 + 64621097583/99553*c_0110_4^7 - 94949622508/99553*c_0110_4^6 + 270419471451/398212*c_0110_4^5 - 13037161112/99553*c_0110_4^4 - 93933691661/398212*c_0110_4^3 + 82772560327/398212*c_0110_4^2 - 13137580479/199106*c_0110_4 + 2980858727/398212, c_0110_4^16 + 2*c_0110_4^15 + 13*c_0110_4^14 - 21*c_0110_4^13 + 113*c_0110_4^12 - 191*c_0110_4^11 + 209*c_0110_4^10 - 102*c_0110_4^9 - 172*c_0110_4^8 + 364*c_0110_4^7 - 325*c_0110_4^6 + 129*c_0110_4^5 + 51*c_0110_4^4 - 92*c_0110_4^3 + 47*c_0110_4^2 - 11*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB