Magma V2.19-8 Tue Aug 20 2013 16:18:54 on localhost [Seed = 3532869540] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3073 geometric_solution 6.23752314 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 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 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 -1.523344919704 2.249022138822 0 0 3 2 3201 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 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 0.156171665402 0.430653344080 3 4 1 4 1230 0132 0132 1230 0 0 1 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 1 -1 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 0.732640335174 1.092616242658 5 2 5 1 0132 3012 3012 0132 0 0 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 0 0 0 0 0 0 0 0 0 -1 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 0.732640335174 1.092616242658 2 2 5 6 3012 0132 0132 0132 0 0 0 1 0 0 -1 1 0 0 0 0 0 1 0 -1 1 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211302831513 0.863529306040 3 3 6 4 0132 1230 3201 0132 0 0 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211302831513 0.863529306040 5 6 4 6 2310 1302 0132 2031 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426840588086 1.246480633285 ==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_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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_6']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_2']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_6, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 17906040539/121305891040*c_0101_6^8 + 6359993027/60652945520*c_0101_6^7 - 23940989/418296176*c_0101_6^6 + 72541719111/60652945520*c_0101_6^5 - 216317216171/30326472760*c_0101_6^4 + 416047976373/60652945520*c_0101_6^3 - 1322279650163/60652945520*c_0101_6^2 + 299727850875/12130589104*c_0101_6 + 5386771997701/121305891040, c_0011_0 - 1, c_0011_2 - 1, c_0011_6 + 1841993/836592352*c_0101_6^8 + 1618771/418296176*c_0101_6^7 + 1491215/418296176*c_0101_6^6 + 12178191/418296176*c_0101_6^5 - 8395809/104574044*c_0101_6^4 - 35122283/418296176*c_0101_6^3 - 106620095/418296176*c_0101_6^2 + 140569771/418296176*c_0101_6 + 343224971/836592352, c_0101_1 - 861365/418296176*c_0101_6^8 - 990513/209148088*c_0101_6^7 - 1297613/209148088*c_0101_6^6 - 2209117/209148088*c_0101_6^5 + 7610855/104574044*c_0101_6^4 - 9126935/209148088*c_0101_6^3 + 86473389/209148088*c_0101_6^2 + 18732883/209148088*c_0101_6 - 187520803/418296176, c_0101_2 + 227/89227*c_0101_6^8 + 1471/356908*c_0101_6^7 - 955/356908*c_0101_6^6 + 14435/356908*c_0101_6^5 - 19355/356908*c_0101_6^4 - 13459/356908*c_0101_6^3 - 25205/356908*c_0101_6^2 - 161987/356908*c_0101_6 + 215411/356908, c_0101_3 + 3720947/1673184704*c_0101_6^8 - 784535/836592352*c_0101_6^7 - 2223523/836592352*c_0101_6^6 + 6107421/836592352*c_0101_6^5 - 35236457/209148088*c_0101_6^4 + 171479327/836592352*c_0101_6^3 - 340713037/836592352*c_0101_6^2 + 735460049/836592352*c_0101_6 + 564475641/1673184704, c_0101_6^9 + c_0101_6^8 + 8*c_0101_6^6 - 46*c_0101_6^5 + 34*c_0101_6^4 - 144*c_0101_6^3 + 140*c_0101_6^2 + 309*c_0101_6 + 145 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB