Magma V2.19-8 Tue Aug 20 2013 16:18:36 on localhost [Seed = 964207627] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2784 geometric_solution 6.02165709 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 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 1 -1 -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 0.252227022404 0.486928908330 2 0 4 3 3201 0132 0132 0132 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 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 -0.324213192680 1.691814468394 3 4 0 1 1023 1023 0132 2310 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 -1 1 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 -0.324213192680 1.691814468394 5 2 1 6 0132 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.237627422974 0.448240040307 2 6 5 1 1023 3012 0321 0132 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 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 0.212672478457 0.624365836027 3 6 4 6 0132 0321 0321 2031 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 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 -0.017016340735 1.405411638924 4 5 3 5 1230 1302 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.017016340735 1.405411638924 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1001_5'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1001_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), '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' : negation(d['c_0011_2']), 'c_0011_4' : 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' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0101_1']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_4']})} 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_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 547114518326354137/8982546087777929*c_1001_5^14 - 3005061638205521431/17965092175555858*c_1001_5^13 - 10139559919391517363/17965092175555858*c_1001_5^12 + 15419426379530047716/8982546087777929*c_1001_5^11 - 44990547913466554829/17965092175555858*c_1001_5^10 + 3705952590562075626/528385063986937*c_1001_5^9 - 88856741071989320283/17965092175555858*c_1001_5^8 + 87650343714844966947/8982546087777929*c_1001_5^7 - 8116619474351086331/1056770127973874*c_1001_5^6 + 89497092633942696167/17965092175555858*c_1001_5^5 - 42391908370691614053/17965092175555858*c_1001_5^4 + 28393735432056017120/8982546087777929*c_1001_5^3 - 32202682209199014129/17965092175555858*c_1001_5^2 + 10670824519785372857/17965092175555858*c_1001_5 + 398081078925717071/17965092175555858, c_0011_0 - 1, c_0011_2 + c_1001_5, c_0011_6 + 581384288036475/2113540255947748*c_1001_5^14 - 2887705633934873/4227080511895496*c_1001_5^13 - 11619554470990369/4227080511895496*c_1001_5^12 + 29869066042347371/4227080511895496*c_1001_5^11 - 19526399909796777/2113540255947748*c_1001_5^10 + 61126082373666881/2113540255947748*c_1001_5^9 - 29948258935957357/2113540255947748*c_1001_5^8 + 161452758711245879/4227080511895496*c_1001_5^7 - 102989072148419201/4227080511895496*c_1001_5^6 + 23859781438602083/2113540255947748*c_1001_5^5 - 3842283489979852/528385063986937*c_1001_5^4 + 18846046769556171/2113540255947748*c_1001_5^3 - 19196760207547169/4227080511895496*c_1001_5^2 + 1335071408317525/4227080511895496*c_1001_5 + 1142052473365477/4227080511895496, c_0101_1 + 927876745004741/2113540255947748*c_1001_5^14 - 4032669910415731/4227080511895496*c_1001_5^13 - 19630081136889633/4227080511895496*c_1001_5^12 + 41190535628777281/4227080511895496*c_1001_5^11 - 6402093391753469/528385063986937*c_1001_5^10 + 45773970423919527/1056770127973874*c_1001_5^9 - 5504292120413941/528385063986937*c_1001_5^8 + 261570165724603991/4227080511895496*c_1001_5^7 - 92328293584326595/4227080511895496*c_1001_5^6 + 9803751890478058/528385063986937*c_1001_5^5 - 20513542259721565/2113540255947748*c_1001_5^4 + 16930049075511671/1056770127973874*c_1001_5^3 - 19265885779740077/4227080511895496*c_1001_5^2 + 7141833892420411/4227080511895496*c_1001_5 + 1214610807315513/4227080511895496, c_0101_2 - 454841692505725/2113540255947748*c_1001_5^14 + 1948393138753447/4227080511895496*c_1001_5^13 + 10079045717413195/4227080511895496*c_1001_5^12 - 20473121552844357/4227080511895496*c_1001_5^11 + 9887171395609393/2113540255947748*c_1001_5^10 - 41702615316932429/2113540255947748*c_1001_5^9 + 6734727208282573/2113540255947748*c_1001_5^8 - 93126035439937349/4227080511895496*c_1001_5^7 + 54468210524484631/4227080511895496*c_1001_5^6 + 10556871842515977/2113540255947748*c_1001_5^5 + 6872243379984617/1056770127973874*c_1001_5^4 - 11159647515006671/2113540255947748*c_1001_5^3 - 1702117630899069/4227080511895496*c_1001_5^2 + 5264654875519909/4227080511895496*c_1001_5 + 4108225343202177/4227080511895496, c_0101_4 + 112021559575887/2113540255947748*c_1001_5^14 - 965811742822673/4227080511895496*c_1001_5^13 - 1663096504231903/4227080511895496*c_1001_5^12 + 10652843401427799/4227080511895496*c_1001_5^11 - 1628421217937068/528385063986937*c_1001_5^10 + 3637279180795313/528385063986937*c_1001_5^9 - 5748425370252026/528385063986937*c_1001_5^8 + 12974574747643049/4227080511895496*c_1001_5^7 - 81602434565725797/4227080511895496*c_1001_5^6 - 1221816394894274/528385063986937*c_1001_5^5 - 12219859672074773/2113540255947748*c_1001_5^4 + 3436760192988047/1056770127973874*c_1001_5^3 - 15889705021450947/4227080511895496*c_1001_5^2 - 1276758231361739/4227080511895496*c_1001_5 - 2234898617302341/4227080511895496, c_1001_5^15 - 5/2*c_1001_5^14 - 10*c_1001_5^13 + 26*c_1001_5^12 - 67/2*c_1001_5^11 + 104*c_1001_5^10 - 52*c_1001_5^9 + 271/2*c_1001_5^8 - 88*c_1001_5^7 + 89/2*c_1001_5^6 - 19*c_1001_5^5 + 43*c_1001_5^4 - 33/2*c_1001_5^3 + c_1001_5^2 + 2*c_1001_5 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB