Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 678016207] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1836 geometric_solution 5.48788878 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 1 -1 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 0.467732432379 0.554580610341 0 3 2 4 0132 0132 1230 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 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 0.707735657674 0.853828979788 3 0 4 1 3201 0132 3201 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707735657674 0.853828979788 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.269126118393 1.023858156034 2 5 1 5 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.975856656075 0.551093942637 4 4 6 6 3201 0132 2310 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 -1 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145898267780 0.452908208081 6 5 5 6 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.742096361699 0.805239700012 ==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' : negation(d['1']), 's_2_0' : negation(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_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 34 Groebner basis: [ t - 316358156/69653*c_0101_2*c_0101_6^16 - 1145939522/69653*c_0101_2*c_0101_6^15 + 1173657686/69653*c_0101_2*c_0101_6^14 + 4330223632/69653*c_0101_2*c_0101_6^13 - 7533740591/69653*c_0101_2*c_0101_6^12 - 6126118121/69653*c_0101_2*c_0101_6^11 + 27033116177/69653*c_0101_2*c_0101_6^10 + 71901738/69653*c_0101_2*c_0101_6^9 - 44469142546/69653*c_0101_2*c_0101_6^8 + 7939793197/69653*c_0101_2*c_0101_6^7 + 35938668142/69653*c_0101_2*c_0101_6^6 - 7048261198/69653*c_0101_2*c_0101_6^5 - 14024108235/69653*c_0101_2*c_0101_6^4 + 2634570505/69653*c_0101_2*c_0101_6^3 + 2592539043/69653*c_0101_2*c_0101_6^2 - 381256200/69653*c_0101_2*c_0101_6 - 218405996/69653*c_0101_2, c_0011_0 - 1, c_0011_4 - 6479970/69653*c_0101_2*c_0101_6^16 - 23838864/69653*c_0101_2*c_0101_6^15 + 22960174/69653*c_0101_2*c_0101_6^14 + 90860951/69653*c_0101_2*c_0101_6^13 - 150468188/69653*c_0101_2*c_0101_6^12 - 136980007/69653*c_0101_2*c_0101_6^11 + 553409891/69653*c_0101_2*c_0101_6^10 + 34421687/69653*c_0101_2*c_0101_6^9 - 931493029/69653*c_0101_2*c_0101_6^8 + 119630578/69653*c_0101_2*c_0101_6^7 + 773211261/69653*c_0101_2*c_0101_6^6 - 119415554/69653*c_0101_2*c_0101_6^5 - 311759368/69653*c_0101_2*c_0101_6^4 + 48698486/69653*c_0101_2*c_0101_6^3 + 59445290/69653*c_0101_2*c_0101_6^2 - 7791461/69653*c_0101_2*c_0101_6 - 4960772/69653*c_0101_2, c_0011_6 - 4691662/69653*c_0101_2*c_0101_6^16 - 17406610/69653*c_0101_2*c_0101_6^15 + 16186222/69653*c_0101_2*c_0101_6^14 + 66589675/69653*c_0101_2*c_0101_6^13 - 107521983/69653*c_0101_2*c_0101_6^12 - 103532263/69653*c_0101_2*c_0101_6^11 + 400820988/69653*c_0101_2*c_0101_6^10 + 36997303/69653*c_0101_2*c_0101_6^9 - 682256336/69653*c_0101_2*c_0101_6^8 + 72143725/69653*c_0101_2*c_0101_6^7 + 572631102/69653*c_0101_2*c_0101_6^6 - 79082043/69653*c_0101_2*c_0101_6^5 - 233715217/69653*c_0101_2*c_0101_6^4 + 33901835/69653*c_0101_2*c_0101_6^3 + 45287985/69653*c_0101_2*c_0101_6^2 - 5585816/69653*c_0101_2*c_0101_6 - 3865289/69653*c_0101_2, c_0101_0 + 10060850/69653*c_0101_6^16 + 36662520/69653*c_0101_6^15 - 36526236/69653*c_0101_6^14 - 138659949/69653*c_0101_6^13 + 236116674/69653*c_0101_6^12 + 200772438/69653*c_0101_6^11 - 854013718/69653*c_0101_6^10 - 25215266/69653*c_0101_6^9 + 1414340713/69653*c_0101_6^8 - 210413446/69653*c_0101_6^7 - 1155898128/69653*c_0101_6^6 + 187599914/69653*c_0101_6^5 + 461484454/69653*c_0101_6^4 - 70552932/69653*c_0101_6^3 - 88941886/69653*c_0101_6^2 + 10980660/69653*c_0101_6 + 7791461/69653, c_0101_1 - 10635836/69653*c_0101_6^16 - 37745710/69653*c_0101_6^15 + 41970056/69653*c_0101_6^14 + 141930382/69653*c_0101_6^13 - 261623617/69653*c_0101_6^12 - 185060996/69653*c_0101_6^11 + 912686398/69653*c_0101_6^10 - 59445986/69653*c_0101_6^9 - 1468221379/69653*c_0101_6^8 + 346220708/69653*c_0101_6^7 + 1162588530/69653*c_0101_6^6 - 281569885/69653*c_0101_6^5 - 446684688/69653*c_0101_6^4 + 98514525/69653*c_0101_6^3 + 81705989/69653*c_0101_6^2 - 13736532/69653*c_0101_6 - 6824941/69653, c_0101_2^2 + 19019188/69653*c_0101_6^16 + 68282964/69653*c_0101_6^15 - 72290726/69653*c_0101_6^14 - 256957794/69653*c_0101_6^13 + 457657580/69653*c_0101_6^12 + 350635467/69653*c_0101_6^11 - 1619870420/69653*c_0101_6^10 + 38784775/69653*c_0101_6^9 + 2634445230/69653*c_0101_6^8 - 514026171/69653*c_0101_6^7 - 2112590113/69653*c_0101_6^6 + 426267828/69653*c_0101_6^5 + 826712895/69653*c_0101_6^4 - 151919599/69653*c_0101_6^3 - 156137752/69653*c_0101_6^2 + 22259173/69653*c_0101_6 + 13424877/69653, c_0101_6^17 + 3*c_0101_6^16 - 6*c_0101_6^15 - 23/2*c_0101_6^14 + 65/2*c_0101_6^13 + 5*c_0101_6^12 - 197/2*c_0101_6^11 + 105/2*c_0101_6^10 + 144*c_0101_6^9 - 227/2*c_0101_6^8 - 103*c_0101_6^7 + 191/2*c_0101_6^6 + 34*c_0101_6^5 - 38*c_0101_6^4 - 4*c_0101_6^3 + 7*c_0101_6^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB