Magma V2.19-8 Tue Aug 20 2013 16:17:57 on localhost [Seed = 1410713745] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2182 geometric_solution 5.64442941 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 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 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 0.384456784261 0.178676364979 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 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 0.476490498105 0.815448800012 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 -1 1 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 -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 1.300347975351 1.572343565894 6 2 4 1 0132 1230 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.300347975351 1.572343565894 3 2 5 6 2310 0132 1302 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.266968405998 0.576353959297 4 6 2 6 2031 2310 0132 3201 0 0 0 0 0 0 -1 1 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 -1 0 1 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 0.733031594002 0.576353959297 3 5 4 5 0132 2310 2031 3201 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733031594002 0.576353959297 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : 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' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(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_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], '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_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(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' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), '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' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0110_5'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 2152335053/3608696*c_0110_5^8 + 18450879023/7217392*c_0110_5^7 + 1722687914/451087*c_0110_5^6 + 51344104249/7217392*c_0110_5^5 + 222224762177/7217392*c_0110_5^4 + 267622055125/7217392*c_0110_5^3 + 17688153803/1804348*c_0110_5^2 - 1315859473/7217392*c_0110_5 - 8819868363/7217392, c_0011_0 - 1, c_0011_1 + 28602/64441*c_0110_5^8 - 119357/64441*c_0110_5^7 - 201794/64441*c_0110_5^6 - 673209/128882*c_0110_5^5 - 1505880/64441*c_0110_5^4 - 1919569/64441*c_0110_5^3 - 920017/128882*c_0110_5^2 + 33027/128882*c_0110_5 + 56413/128882, c_0011_3 + 358469/257764*c_0101_0*c_0110_5^8 - 3026311/515528*c_0101_0*c_0110_5^7 - 598254/64441*c_0101_0*c_0110_5^6 - 8902349/515528*c_0101_0*c_0110_5^5 - 37406921/515528*c_0101_0*c_0110_5^4 - 47085221/515528*c_0101_0*c_0110_5^3 - 1822742/64441*c_0101_0*c_0110_5^2 + 208837/515528*c_0101_0*c_0110_5 + 1572215/515528*c_0101_0, c_0101_0^2 - 28602/64441*c_0110_5^8 + 119357/64441*c_0110_5^7 + 201794/64441*c_0110_5^6 + 673209/128882*c_0110_5^5 + 1505880/64441*c_0110_5^4 + 1919569/64441*c_0110_5^3 + 920017/128882*c_0110_5^2 - 33027/128882*c_0110_5 - 185295/128882, c_0101_1 - 124947/128882*c_0110_5^8 + 1095617/257764*c_0110_5^7 + 371600/64441*c_0110_5^6 + 2863739/257764*c_0110_5^5 + 12660683/257764*c_0110_5^4 + 14270251/257764*c_0110_5^3 + 797924/64441*c_0110_5^2 - 204075/257764*c_0110_5 - 493557/257764, c_0101_3 - c_0110_5, c_0110_5^9 - 9/2*c_0110_5^8 - 11/2*c_0110_5^7 - 21/2*c_0110_5^6 - 49*c_0110_5^5 - 51*c_0110_5^4 - 5/2*c_0110_5^3 + 9/2*c_0110_5^2 + 2*c_0110_5 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB