Magma V2.19-8 Tue Aug 20 2013 16:14:30 on localhost [Seed = 3600239318] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s495 geometric_solution 4.87699957 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 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 0.523336485334 0.379571405945 0 4 5 3 0132 2031 0132 1230 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436047225659 0.242915717195 5 0 4 5 0321 0132 1230 2031 0 0 0 0 0 1 -1 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 0.977752377825 1.333870578818 1 5 4 0 3012 3201 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 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 0.642531204951 0.487666529252 1 3 0 2 1302 3201 0132 3012 0 0 0 0 0 0 -1 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 -1 0 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 0.875424294392 0.514728593437 2 2 3 1 0321 1302 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.283829535889 1.022324904125 ==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' : 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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0011_4'])})} 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_3, c_0011_4, c_0011_5, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 8198/13671*c_0110_4^7 + 32444/13671*c_0110_4^6 - 2182/13671*c_0110_4^5 - 89830/13671*c_0110_4^4 + 4595/13671*c_0110_4^3 + 2413/279*c_0110_4^2 - 873/1519*c_0110_4 - 48982/13671, c_0011_0 - 1, c_0011_3 - 23/31*c_0110_4^7 - 96/31*c_0110_4^6 - 29/31*c_0110_4^5 + 195/31*c_0110_4^4 + 35/31*c_0110_4^3 - 233/31*c_0110_4^2 - 70/31*c_0110_4 + 52/31, c_0011_4 - 19/31*c_0110_4^7 - 82/31*c_0110_4^6 - 28/31*c_0110_4^5 + 184/31*c_0110_4^4 + 37/31*c_0110_4^3 - 272/31*c_0110_4^2 - 74/31*c_0110_4 + 109/31, c_0011_5 + 2/31*c_0110_4^7 + 7/31*c_0110_4^6 - 15/31*c_0110_4^5 - 52/31*c_0110_4^4 + 32/31*c_0110_4^3 + 89/31*c_0110_4^2 - 33/31*c_0110_4 - 49/31, c_0101_2 + 22/31*c_0110_4^7 + 108/31*c_0110_4^6 + 83/31*c_0110_4^5 - 200/31*c_0110_4^4 - 144/31*c_0110_4^3 + 266/31*c_0110_4^2 + 164/31*c_0110_4 - 74/31, c_0110_4^8 + 6*c_0110_4^7 + 9*c_0110_4^6 - 6*c_0110_4^5 - 18*c_0110_4^4 + 7*c_0110_4^3 + 25*c_0110_4^2 + 4*c_0110_4 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB