Magma V2.19-8 Tue Aug 20 2013 16:15:50 on localhost [Seed = 3937105600] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0057 geometric_solution 3.61940928 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 7.069482527946 1.509299178565 0 1 1 0 0132 1230 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.121149927367 0.023249645479 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 -0.272099671845 0.118819450195 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 1.283404652690 0.902931290951 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 0.994757016525 0.509951104056 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 0.994757016525 0.509951104056 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 0.203934328335 0.408094199310 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : 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_4']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(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_0011_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' : d['c_0101_1'], '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: 14 Groebner basis: [ t + 2080823/10207*c_0101_6^13 - 19806304/10207*c_0101_6^12 + 1221814/10207*c_0101_6^11 + 226054325/10207*c_0101_6^10 + 26386379/10207*c_0101_6^9 - 684233150/10207*c_0101_6^8 - 98935752/10207*c_0101_6^7 + 830795069/10207*c_0101_6^6 + 96790372/10207*c_0101_6^5 - 451624876/10207*c_0101_6^4 - 36228343/10207*c_0101_6^3 + 103226971/10207*c_0101_6^2 + 4540825/10207*c_0101_6 - 6605533/10207, c_0011_0 - 1, c_0011_2 + 294067/10207*c_0101_6^13 - 2740428/10207*c_0101_6^12 - 395142/10207*c_0101_6^11 + 32070972/10207*c_0101_6^10 + 10093083/10207*c_0101_6^9 - 96877851/10207*c_0101_6^8 - 567648/173*c_0101_6^7 + 116434956/10207*c_0101_6^6 + 37352235/10207*c_0101_6^5 - 61481817/10207*c_0101_6^4 - 17235255/10207*c_0101_6^3 + 12659859/10207*c_0101_6^2 + 2847357/10207*c_0101_6 - 426074/10207, c_0011_4 - 512213/10207*c_0101_6^13 + 4734732/10207*c_0101_6^12 + 1023391/10207*c_0101_6^11 - 55602974/10207*c_0101_6^10 - 21557875/10207*c_0101_6^9 + 164877399/10207*c_0101_6^8 + 67837900/10207*c_0101_6^7 - 192566699/10207*c_0101_6^6 - 71892257/10207*c_0101_6^5 + 98474085/10207*c_0101_6^4 + 30893339/10207*c_0101_6^3 - 19718645/10207*c_0101_6^2 - 4611873/10207*c_0101_6 + 686397/10207, c_0101_0 - 317461/10207*c_0101_6^13 + 2937945/10207*c_0101_6^12 + 613582/10207*c_0101_6^11 - 34571114/10207*c_0101_6^10 - 13004834/10207*c_0101_6^9 + 103490013/10207*c_0101_6^8 + 41395269/10207*c_0101_6^7 - 122856141/10207*c_0101_6^6 - 44562728/10207*c_0101_6^5 + 64280675/10207*c_0101_6^4 + 19583655/10207*c_0101_6^3 - 13229424/10207*c_0101_6^2 - 3026361/10207*c_0101_6 + 465406/10207, c_0101_1 + 124709/10207*c_0101_6^13 - 1158691/10207*c_0101_6^12 - 193610/10207*c_0101_6^11 + 13539825/10207*c_0101_6^10 + 4624151/10207*c_0101_6^9 - 40301791/10207*c_0101_6^8 - 14804121/10207*c_0101_6^7 + 47354872/10207*c_0101_6^6 + 15829484/10207*c_0101_6^5 - 24357469/10207*c_0101_6^4 - 6981368/10207*c_0101_6^3 + 4891119/10207*c_0101_6^2 + 1120060/10207*c_0101_6 - 165763/10207, c_0101_3 + 275548/10207*c_0101_6^13 - 2533845/10207*c_0101_6^12 - 673795/10207*c_0101_6^11 + 29899700/10207*c_0101_6^10 + 12984155/10207*c_0101_6^9 - 88243959/10207*c_0101_6^8 - 681653/173*c_0101_6^7 + 102289587/10207*c_0101_6^6 + 42204476/10207*c_0101_6^5 - 51906245/10207*c_0101_6^4 - 17773500/10207*c_0101_6^3 + 10343064/10207*c_0101_6^2 + 2547798/10207*c_0101_6 - 368936/10207, c_0101_6^14 - 10*c_0101_6^13 + 5*c_0101_6^12 + 110*c_0101_6^11 - 40*c_0101_6^10 - 353*c_0101_6^9 + 111*c_0101_6^8 + 474*c_0101_6^7 - 144*c_0101_6^6 - 296*c_0101_6^5 + 85*c_0101_6^4 + 83*c_0101_6^3 - 20*c_0101_6^2 - 8*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB