Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 3313785078] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2689 geometric_solution 5.94710766 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 0.936097165235 0.642542968033 0 5 5 6 0132 0132 1023 0132 0 0 0 0 0 0 1 -1 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 -1 1 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 0.601054763325 0.223668727285 2 0 2 6 2031 0132 1302 1023 0 0 0 0 0 1 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757195994417 0.692753052252 6 3 3 0 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.924213492464 0.659433537671 4 6 0 4 3012 0132 0132 1230 0 0 0 0 0 1 -1 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 -1 0 1 -1 0 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 0.712091163171 0.869458757779 5 1 1 5 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 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 0 0 1 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.354816779677 0.766334167583 3 4 1 2 0132 0132 0132 1023 0 0 0 0 0 -1 1 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 -1 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 0.936097165235 0.642542968033 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : 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' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_1'], 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0110_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0110_2']})} 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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 159202509755/6155791291*c_0110_2^12 + 17026967485/150141251*c_0110_2^11 - 58833628012/473522407*c_0110_2^10 - 2008957761830/6155791291*c_0110_2^9 + 7054185527725/6155791291*c_0110_2^8 - 7119838924919/6155791291*c_0110_2^7 - 2602245800562/6155791291*c_0110_2^6 + 11077725053233/6155791291*c_0110_2^5 - 5123438345816/6155791291*c_0110_2^4 - 6479111476550/6155791291*c_0110_2^3 + 620773069522/473522407*c_0110_2^2 - 2714483418854/6155791291*c_0110_2 + 290242803941/6155791291, c_0011_0 - 1, c_0011_3 - 4918/268589*c_0110_2^12 + 55186/268589*c_0110_2^11 - 149154/268589*c_0110_2^10 - 23428/268589*c_0110_2^9 + 783255/268589*c_0110_2^8 - 1345932/268589*c_0110_2^7 + 151878/268589*c_0110_2^6 + 1978291/268589*c_0110_2^5 - 1602703/268589*c_0110_2^4 - 1197719/268589*c_0110_2^3 + 1738318/268589*c_0110_2^2 - 81782/268589*c_0110_2 - 327186/268589, c_0101_0 - 81926/268589*c_0110_2^12 + 260672/268589*c_0110_2^11 - 72827/268589*c_0110_2^10 - 1163818/268589*c_0110_2^9 + 2343535/268589*c_0110_2^8 - 812381/268589*c_0110_2^7 - 2942880/268589*c_0110_2^6 + 3189293/268589*c_0110_2^5 + 1134194/268589*c_0110_2^4 - 3330145/268589*c_0110_2^3 + 1087579/268589*c_0110_2^2 + 930316/268589*c_0110_2 - 211216/268589, c_0101_1 + 140883/268589*c_0110_2^12 - 481839/268589*c_0110_2^11 + 164810/268589*c_0110_2^10 + 2104622/268589*c_0110_2^9 - 4329197/268589*c_0110_2^8 + 1542927/268589*c_0110_2^7 + 5390208/268589*c_0110_2^6 - 5944788/268589*c_0110_2^5 - 2112947/268589*c_0110_2^4 + 6229681/268589*c_0110_2^3 - 2114088/268589*c_0110_2^2 - 1202309/268589*c_0110_2 + 490805/268589, c_0101_3 - c_0110_2^2 + 1, c_0101_5 + 65571/268589*c_0110_2^12 - 231268/268589*c_0110_2^11 + 82421/268589*c_0110_2^10 + 1030420/268589*c_0110_2^9 - 2116824/268589*c_0110_2^8 + 675799/268589*c_0110_2^7 + 2841856/268589*c_0110_2^6 - 3104223/268589*c_0110_2^5 - 1050595/268589*c_0110_2^4 + 3226005/268589*c_0110_2^3 - 1167087/268589*c_0110_2^2 - 520600/268589*c_0110_2 + 473191/268589, c_0110_2^13 - 4*c_0110_2^12 + 3*c_0110_2^11 + 15*c_0110_2^10 - 40*c_0110_2^9 + 26*c_0110_2^8 + 39*c_0110_2^7 - 68*c_0110_2^6 + 2*c_0110_2^5 + 62*c_0110_2^4 - 37*c_0110_2^3 - 9*c_0110_2^2 + 10*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB