Magma V2.19-8 Tue Aug 20 2013 16:15:53 on localhost [Seed = 2345277360] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0110 geometric_solution 3.63478916 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7.998207413494 1.898833978600 0 1 0 1 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.410540964433 0.056401311889 0 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.252483238759 0.115377865905 2 2 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.280943716156 0.922588329114 5 6 5 3 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 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 0.996851096437 0.506616586996 6 4 3 4 2310 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 -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 0.996851096437 0.506616586996 6 4 5 6 3201 0132 3201 2310 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 -1 0 1 -1 0 0 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 0.202756685214 0.405172536386 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(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_0011_4']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), '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' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, 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: 22 Groebner basis: [ t + 52810596737/813330496*c_0101_3*c_0101_6^10 + 1541070100431/1626660992*c_0101_3*c_0101_6^9 + 2723236827995/1626660992*c_0101_3*c_0101_6^8 + 8002744125351/1626660992*c_0101_3*c_0101_6^7 + 6621991841593/1626660992*c_0101_3*c_0101_6^6 + 11763688926573/1626660992*c_0101_3*c_0101_6^5 + 225900904985/147878272*c_0101_3*c_0101_6^4 + 936700001593/203332624*c_0101_3*c_0101_6^3 - 1012609683669/813330496*c_0101_3*c_0101_6^2 + 2696257616925/1626660992*c_0101_3*c_0101_6 - 3293214569607/1626660992*c_0101_3, c_0011_0 - 1, c_0011_2 - 1080613/18484784*c_0101_6^10 - 3945019/4621196*c_0101_6^9 - 6651027/4621196*c_0101_6^8 - 31373191/9242392*c_0101_6^7 - 14221989/4621196*c_0101_6^6 - 14669949/4621196*c_0101_6^5 - 14197097/18484784*c_0101_6^4 - 3458987/4621196*c_0101_6^3 + 14172897/18484784*c_0101_6^2 + 2667159/9242392*c_0101_6 + 11218393/18484784, c_0011_4 + 94716/1155299*c_0101_3*c_0101_6^10 + 5637691/4621196*c_0101_3*c_0101_6^9 + 11410249/4621196*c_0101_3*c_0101_6^8 + 16123245/2310598*c_0101_3*c_0101_6^7 + 17544793/2310598*c_0101_3*c_0101_6^6 + 55362331/4621196*c_0101_3*c_0101_6^5 + 33105543/4621196*c_0101_3*c_0101_6^4 + 43434239/4621196*c_0101_3*c_0101_6^3 + 17747041/4621196*c_0101_3*c_0101_6^2 + 4566198/1155299*c_0101_3*c_0101_6 - 531277/2310598*c_0101_3, c_0101_0 + 935533/9242392*c_0101_3*c_0101_6^10 + 3397783/2310598*c_0101_3*c_0101_6^9 + 23619467/9242392*c_0101_3*c_0101_6^8 + 9312662/1155299*c_0101_3*c_0101_6^7 + 62251017/9242392*c_0101_3*c_0101_6^6 + 61924017/4621196*c_0101_3*c_0101_6^5 + 8161929/2310598*c_0101_3*c_0101_6^4 + 11300552/1155299*c_0101_3*c_0101_6^3 - 12155685/9242392*c_0101_3*c_0101_6^2 + 19002019/4621196*c_0101_3*c_0101_6 - 5813533/2310598*c_0101_3, c_0101_1 - 386941/18484784*c_0101_6^10 - 310485/1155299*c_0101_6^9 + 10134/1155299*c_0101_6^8 - 4594305/9242392*c_0101_6^7 + 1211726/1155299*c_0101_6^6 - 384796/1155299*c_0101_6^5 + 30113203/18484784*c_0101_6^4 - 7836319/4621196*c_0101_6^3 + 23212297/18484784*c_0101_6^2 - 3895479/9242392*c_0101_6 + 6062893/18484784, c_0101_3^2 - 1896673/18484784*c_0101_6^10 - 1795209/1155299*c_0101_6^9 - 3809422/1155299*c_0101_6^8 - 62634781/9242392*c_0101_6^7 - 9482414/1155299*c_0101_6^6 - 9716181/1155299*c_0101_6^5 - 103163345/18484784*c_0101_6^4 - 25374507/4621196*c_0101_6^3 - 23060387/18484784*c_0101_6^2 - 3055371/9242392*c_0101_6 - 2284111/18484784, c_0101_6^11 + 15*c_0101_6^10 + 32*c_0101_6^9 + 90*c_0101_6^8 + 102*c_0101_6^7 + 160*c_0101_6^6 + 97*c_0101_6^5 + 123*c_0101_6^4 + 39*c_0101_6^3 + 51*c_0101_6^2 - 7*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB