Magma V2.19-8 Tue Aug 20 2013 16:18:51 on localhost [Seed = 2665415648] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3013 geometric_solution 6.18733298 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3120 0132 0132 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 -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 0.697039548348 1.337542638744 0 0 5 4 0132 3120 0132 0132 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 1 -1 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 0.441063167959 0.333565058821 4 5 6 0 0132 3012 0132 0132 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758525066497 0.733783703223 3 3 0 4 1302 2031 0132 2031 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 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066205016541 0.828813376996 2 3 1 6 0132 1302 0132 1302 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 -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 0 0 0 0 1.178684794367 0.602280300900 2 5 5 1 1230 1230 3012 0132 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 1 -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 0.557685563824 1.090786387736 6 6 4 2 1230 3012 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226365100352 0.417222766820 ==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_1010_4']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_1010_4']), 'c_1100_3' : negation(d['c_1010_4']), 'c_1100_2' : negation(d['c_1010_4']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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_0011_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_5, c_0011_6, c_0101_0, c_0101_5, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 54414944576673/22401078367464128*c_1010_4^16 - 3057056271189473/22401078367464128*c_1010_4^15 + 6851064048223555/22401078367464128*c_1010_4^14 - 9811451690464199/22401078367464128*c_1010_4^13 + 12938026147398253/11200539183732064*c_1010_4^12 + 624783211700517/5600269591866032*c_1010_4^11 - 3159525425433473/5600269591866032*c_1010_4^10 - 634454264678029/350016849491627*c_1010_4^9 - 10518581216716209/11200539183732064*c_1010_4^8 - 78766460134249317/22401078367464128*c_1010_4^7 + 3949178273740287/700033698983254*c_1010_4^6 + 81271908573604377/11200539183732064*c_1010_4^5 - 39368240224688887/11200539183732064*c_1010_4^4 + 226806444557269835/22401078367464128*c_1010_4^3 - 143963366452857865/5600269591866032*c_1010_4^2 + 16619362114610861/22401078367464128*c_1010_4 - 27409553702791159/1400067397966508, c_0011_0 - 1, c_0011_2 - 270169759/1918284202*c_1010_4^16 + 241230305/1918284202*c_1010_4^15 - 539653605/1918284202*c_1010_4^14 + 1598002287/1918284202*c_1010_4^13 + 1131403135/959142101*c_1010_4^12 + 1013500175/959142101*c_1010_4^11 - 348839059/959142101*c_1010_4^10 - 810083779/959142101*c_1010_4^9 - 3599068208/959142101*c_1010_4^8 + 2256151025/1918284202*c_1010_4^7 + 7525750483/959142101*c_1010_4^6 + 5876519016/959142101*c_1010_4^5 + 16982573780/959142101*c_1010_4^4 - 320579983/1918284202*c_1010_4^3 + 7894161093/959142101*c_1010_4^2 - 6310977031/1918284202*c_1010_4 + 169409495/959142101, c_0011_5 - 15036271683673/700033698983254*c_1010_4^16 - 29312338050195/700033698983254*c_1010_4^15 + 15316072493279/700033698983254*c_1010_4^14 - 1806919967441/700033698983254*c_1010_4^13 + 194864540977455/350016849491627*c_1010_4^12 + 213660916218317/350016849491627*c_1010_4^11 + 102515374355990/350016849491627*c_1010_4^10 - 119905554680729/350016849491627*c_1010_4^9 - 295577594716978/350016849491627*c_1010_4^8 - 869424955938201/700033698983254*c_1010_4^7 + 728206308513791/350016849491627*c_1010_4^6 + 1412808107225606/350016849491627*c_1010_4^5 + 1480338636828355/350016849491627*c_1010_4^4 + 4906978408950309/700033698983254*c_1010_4^3 + 209435879684505/350016849491627*c_1010_4^2 + 2466639924305327/700033698983254*c_1010_4 - 460906068943653/350016849491627, c_0011_6 - 2379929986652/350016849491627*c_1010_4^16 + 16769052233078/350016849491627*c_1010_4^15 - 36329199925938/350016849491627*c_1010_4^14 + 55151216938092/350016849491627*c_1010_4^13 - 80828403942456/350016849491627*c_1010_4^12 - 24891382891853/350016849491627*c_1010_4^11 + 86060623939011/350016849491627*c_1010_4^10 + 111705844697928/350016849491627*c_1010_4^9 - 148480391822076/350016849491627*c_1010_4^8 + 280841033745822/350016849491627*c_1010_4^7 - 252922046233179/350016849491627*c_1010_4^6 - 644825222617003/350016849491627*c_1010_4^5 + 949243909093497/350016849491627*c_1010_4^4 - 1090630150553510/350016849491627*c_1010_4^3 + 1382568672535196/350016849491627*c_1010_4^2 - 490086185744446/350016849491627*c_1010_4 + 550629805717753/350016849491627, c_0101_0 - 146435862483613/1400067397966508*c_1010_4^16 + 147028617794057/1400067397966508*c_1010_4^15 - 327630721363535/1400067397966508*c_1010_4^14 + 952379607551811/1400067397966508*c_1010_4^13 + 548513633558697/700033698983254*c_1010_4^12 + 265770067327420/350016849491627*c_1010_4^11 - 111532128088992/350016849491627*c_1010_4^10 - 305517798856896/350016849491627*c_1010_4^9 - 2092488944684523/700033698983254*c_1010_4^8 + 1972043649960061/1400067397966508*c_1010_4^7 + 2073837978321369/350016849491627*c_1010_4^6 + 2894566547750589/700033698983254*c_1010_4^5 + 9388347838292687/700033698983254*c_1010_4^4 - 4404224936918863/1400067397966508*c_1010_4^3 + 2178960291478725/350016849491627*c_1010_4^2 - 5890298609852597/1400067397966508*c_1010_4 + 145706354958116/350016849491627, c_0101_5 + 4145553678185/1400067397966508*c_1010_4^16 - 195848897214069/1400067397966508*c_1010_4^15 + 190412629909959/1400067397966508*c_1010_4^14 - 389710183750007/1400067397966508*c_1010_4^13 + 560733471147801/700033698983254*c_1010_4^12 + 385745204323443/350016849491627*c_1010_4^11 + 300471479205432/350016849491627*c_1010_4^10 - 218914744417773/350016849491627*c_1010_4^9 - 716308756191643/700033698983254*c_1010_4^8 - 4868095577627465/1400067397966508*c_1010_4^7 + 559600805250578/350016849491627*c_1010_4^6 + 5614561990375099/700033698983254*c_1010_4^5 + 3293999509562027/700033698983254*c_1010_4^4 + 21913127873449111/1400067397966508*c_1010_4^3 - 939994588419808/350016849491627*c_1010_4^2 + 8871262010722997/1400067397966508*c_1010_4 - 1503732687548440/350016849491627, c_1010_4^17 - c_1010_4^16 + 3*c_1010_4^15 - 7*c_1010_4^14 - 6*c_1010_4^13 - 12*c_1010_4^12 - 4*c_1010_4^11 + 30*c_1010_4^9 - 5*c_1010_4^8 - 32*c_1010_4^7 - 46*c_1010_4^6 - 174*c_1010_4^5 - 21*c_1010_4^4 - 164*c_1010_4^3 + 45*c_1010_4^2 - 48*c_1010_4 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB