Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 3052677546] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s670 geometric_solution 5.16454907 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 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 0.492365789440 0.222816093718 2 0 3 0 0132 2310 0132 0132 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 0.821860371946 0.540067009998 1 3 4 5 0132 0213 0132 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 0.632205351633 0.686167061888 5 4 2 1 1023 1023 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 0 -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 0.632205351633 0.686167061888 3 4 4 2 1023 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.273751948199 0.788236750320 5 3 2 5 3201 1023 0132 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 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 0.144070842081 0.947799674705 ==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_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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 110058708043255/682144496147*c_0101_4^21 + 2659080295588673/682144496147*c_0101_4^19 + 4525710300152729/682144496147*c_0101_4^17 + 2794777736420723/682144496147*c_0101_4^15 - 9143368618530797/682144496147*c_0101_4^13 - 29017184223745250/682144496147*c_0101_4^11 - 12617669047765343/682144496147*c_0101_4^9 + 17327075563418867/682144496147*c_0101_4^7 + 16252515240251474/682144496147*c_0101_4^5 + 6738453419922467/682144496147*c_0101_4^3 + 678704232499232/682144496147*c_0101_4, c_0011_0 - 1, c_0011_1 - 182017894918/682144496147*c_0101_4^20 + 4402447201760/682144496147*c_0101_4^18 + 7349384598800/682144496147*c_0101_4^16 + 4922084453935/682144496147*c_0101_4^14 - 15054017116654/682144496147*c_0101_4^12 - 47498313349570/682144496147*c_0101_4^10 - 21343564715411/682144496147*c_0101_4^8 + 26504905721131/682144496147*c_0101_4^6 + 28001006176741/682144496147*c_0101_4^4 + 11901357408145/682144496147*c_0101_4^2 + 914433739224/682144496147, c_0011_3 + 1808152321582/682144496147*c_0101_4^21 - 43712038813161/682144496147*c_0101_4^19 - 73705275445003/682144496147*c_0101_4^17 - 45294822114616/682144496147*c_0101_4^15 + 150643305507214/682144496147*c_0101_4^13 + 474182127855914/682144496147*c_0101_4^11 + 202069036987571/682144496147*c_0101_4^9 - 284845108635807/682144496147*c_0101_4^7 - 263487830423860/682144496147*c_0101_4^5 - 107897205544860/682144496147*c_0101_4^3 - 10842664715888/682144496147*c_0101_4, c_0101_0 + 2631354415458/682144496147*c_0101_4^21 - 63575868743323/682144496147*c_0101_4^19 - 108152376391603/682144496147*c_0101_4^17 - 67565296790177/682144496147*c_0101_4^15 + 218637850181579/682144496147*c_0101_4^13 + 693466876451024/682144496147*c_0101_4^11 + 304634794703712/682144496147*c_0101_4^9 - 410960494924513/682144496147*c_0101_4^7 - 392088192779732/682144496147*c_0101_4^5 - 162919649663627/682144496147*c_0101_4^3 - 16932635419995/682144496147*c_0101_4, c_0101_1 - 309250680826/682144496147*c_0101_4^20 + 7431204081667/682144496147*c_0101_4^18 + 13706823897027/682144496147*c_0101_4^16 + 9208903393721/682144496147*c_0101_4^14 - 25006121220593/682144496147*c_0101_4^12 - 85216813404980/682144496147*c_0101_4^10 - 44927256668885/682144496147*c_0101_4^8 + 46631441424321/682144496147*c_0101_4^6 + 53130655448944/682144496147*c_0101_4^4 + 23331613030310/682144496147*c_0101_4^2 + 2667430154357/682144496147, c_0101_4^22 - 24*c_0101_4^20 - 45*c_0101_4^18 - 32*c_0101_4^16 + 79*c_0101_4^14 + 277*c_0101_4^12 + 157*c_0101_4^10 - 139*c_0101_4^8 - 173*c_0101_4^6 - 85*c_0101_4^4 - 16*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB