Magma V2.19-8 Tue Aug 20 2013 16:18:04 on localhost [Seed = 374835935] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2302 geometric_solution 5.70394526 oriented_manifold CS_known 0.0000000000000003 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 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 1 -1 -1 0 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 0.578220658751 0.585078153015 3 0 5 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496062895158 0.869019573273 4 4 0 5 1230 1302 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.832301831821 0.566127335720 1 3 5 3 0132 1302 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640336032677 0.319070397856 6 2 1 2 0132 3012 0132 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 -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 -1.112606747732 0.681442163294 3 6 2 1 2031 2103 2031 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 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 0.096300991543 0.441889109457 4 5 6 6 0132 2103 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.266948203171 0.523299510604 ==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' : d['c_0101_6'], 'c_1100_5' : negation(d['c_1010_2']), 'c_1100_4' : negation(d['c_1010_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1010_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], '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' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0011_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_1010_2'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0101_6']})} 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_0011_5, c_0101_1, c_0101_6, c_1010_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 298338502638/13142856979*c_1010_2^14 + 1328022536277/13142856979*c_1010_2^13 + 5101322917563/13142856979*c_1010_2^12 + 9304896538774/13142856979*c_1010_2^11 + 11931255111460/13142856979*c_1010_2^10 - 281299092948/1877550997*c_1010_2^9 - 18142409457895/13142856979*c_1010_2^8 - 30745892458829/13142856979*c_1010_2^7 + 840235835631/13142856979*c_1010_2^6 + 352562696830/268221571*c_1010_2^5 + 23560137857533/13142856979*c_1010_2^4 - 11186036187360/13142856979*c_1010_2^3 - 5757940742738/13142856979*c_1010_2^2 + 357568757235/13142856979*c_1010_2 + 863943237030/13142856979, c_0011_0 - 1, c_0011_2 + 68994799/268221571*c_1010_2^14 + 302522531/268221571*c_1010_2^13 + 1140479524/268221571*c_1010_2^12 + 1979058856/268221571*c_1010_2^11 + 2236110603/268221571*c_1010_2^10 - 1471396942/268221571*c_1010_2^9 - 5517390022/268221571*c_1010_2^8 - 7802338119/268221571*c_1010_2^7 + 720737280/268221571*c_1010_2^6 + 5460109134/268221571*c_1010_2^5 + 6136724472/268221571*c_1010_2^4 - 2621165268/268221571*c_1010_2^3 - 1568464812/268221571*c_1010_2^2 + 581053114/268221571*c_1010_2 + 148435301/268221571, c_0011_4 + 207076263/268221571*c_1010_2^14 + 961275089/268221571*c_1010_2^13 + 3695847131/268221571*c_1010_2^12 + 7018146017/268221571*c_1010_2^11 + 9040061073/268221571*c_1010_2^10 - 923621686/268221571*c_1010_2^9 - 14814894548/268221571*c_1010_2^8 - 25592914758/268221571*c_1010_2^7 - 4130909357/268221571*c_1010_2^6 + 13491277646/268221571*c_1010_2^5 + 19930516597/268221571*c_1010_2^4 - 4013691902/268221571*c_1010_2^3 - 5875682268/268221571*c_1010_2^2 - 41813304/268221571*c_1010_2 + 617812817/268221571, c_0011_5 + 13862179/268221571*c_1010_2^14 + 25007708/268221571*c_1010_2^13 + 67108827/268221571*c_1010_2^12 - 236403566/268221571*c_1010_2^11 - 756143536/268221571*c_1010_2^10 - 1997268782/268221571*c_1010_2^9 - 1351592750/268221571*c_1010_2^8 - 26039236/268221571*c_1010_2^7 + 3676570542/268221571*c_1010_2^6 + 1554736874/268221571*c_1010_2^5 + 712547709/268221571*c_1010_2^4 - 2319281905/268221571*c_1010_2^3 + 1308327490/268221571*c_1010_2^2 - 174514565/268221571*c_1010_2 - 247067411/268221571, c_0101_1 - 39106454/268221571*c_1010_2^14 - 216947611/268221571*c_1010_2^13 - 871190353/268221571*c_1010_2^12 - 2022677510/268221571*c_1010_2^11 - 3180598238/268221571*c_1010_2^10 - 2116322928/268221571*c_1010_2^9 + 1679161581/268221571*c_1010_2^8 + 6174890264/268221571*c_1010_2^7 + 5484899143/268221571*c_1010_2^6 + 500023662/268221571*c_1010_2^5 - 3176050930/268221571*c_1010_2^4 - 2130985861/268221571*c_1010_2^3 + 552468033/268221571*c_1010_2^2 - 192002463/268221571*c_1010_2 + 147933843/268221571, c_0101_6 + 109416432/268221571*c_1010_2^14 + 464654446/268221571*c_1010_2^13 + 1768379215/268221571*c_1010_2^12 + 2989187028/268221571*c_1010_2^11 + 3481485308/268221571*c_1010_2^10 - 2286468987/268221571*c_1010_2^9 - 7926950799/268221571*c_1010_2^8 - 11919639725/268221571*c_1010_2^7 + 1370231029/268221571*c_1010_2^6 + 7151961112/268221571*c_1010_2^5 + 10077551212/268221571*c_1010_2^4 - 3824555635/268221571*c_1010_2^3 - 1241669617/268221571*c_1010_2^2 - 264854841/268221571*c_1010_2 + 18394594/268221571, c_1010_2^15 + 4*c_1010_2^14 + 15*c_1010_2^13 + 23*c_1010_2^12 + 24*c_1010_2^11 - 29*c_1010_2^10 - 65*c_1010_2^9 - 81*c_1010_2^8 + 50*c_1010_2^7 + 66*c_1010_2^6 + 60*c_1010_2^5 - 72*c_1010_2^4 - 8*c_1010_2^3 + 9*c_1010_2^2 + 3*c_1010_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB