Magma V2.19-8 Tue Aug 20 2013 16:18:32 on localhost [Seed = 1494795370] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2726 geometric_solution 5.97436488 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 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 1 1 -2 0 0 0 0 1 0 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.570907166340 0.412109680557 0 0 3 2 0132 3201 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 2 -1 -1 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 0.635104485771 1.914471492638 4 5 1 6 0132 0132 0132 0132 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 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 0.566960525518 1.227651909869 5 4 6 1 3201 0132 2310 0132 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 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566960525518 1.227651909869 2 3 4 4 0132 0132 2031 1302 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 1 0 -1 0 0 1 -1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.168745834753 0.558228675525 5 2 5 3 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555340190437 0.664168291554 6 3 2 6 3201 3201 0132 2310 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 -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 0.099665348106 0.511067900790 ==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_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_2'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], '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_2']), 'c_0011_4' : negation(d['c_0011_2']), '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_2, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 191159597/6667079*c_0101_4^15 + 154118241/6667079*c_0101_4^14 + 2246913561/6667079*c_0101_4^13 - 1039951077/6667079*c_0101_4^12 - 11108046179/6667079*c_0101_4^11 + 2469372053/6667079*c_0101_4^10 + 1397098924/289873*c_0101_4^9 - 3853081369/6667079*c_0101_4^8 - 57478104372/6667079*c_0101_4^7 + 7916902430/6667079*c_0101_4^6 + 58101546722/6667079*c_0101_4^5 - 11999568595/6667079*c_0101_4^4 - 26469675133/6667079*c_0101_4^3 + 7284970207/6667079*c_0101_4^2 + 2427645585/6667079*c_0101_4 - 647916471/6667079, c_0011_0 - 1, c_0011_2 + 65794/289873*c_0101_4^15 + 9808/289873*c_0101_4^14 - 610117/289873*c_0101_4^13 - 550818/289873*c_0101_4^12 + 1904226/289873*c_0101_4^11 + 3699945/289873*c_0101_4^10 - 1946796/289873*c_0101_4^9 - 10495887/289873*c_0101_4^8 - 4748687/289873*c_0101_4^7 + 17063579/289873*c_0101_4^6 + 16982875/289873*c_0101_4^5 - 16887705/289873*c_0101_4^4 - 17869688/289873*c_0101_4^3 + 7936478/289873*c_0101_4^2 + 5860285/289873*c_0101_4 - 536289/289873, c_0011_6 + 68791/289873*c_0101_4^15 - 104630/289873*c_0101_4^14 - 693223/289873*c_0101_4^13 + 855622/289873*c_0101_4^12 + 3090936/289873*c_0101_4^11 - 3106485/289873*c_0101_4^10 - 8855954/289873*c_0101_4^9 + 7600913/289873*c_0101_4^8 + 15648004/289873*c_0101_4^7 - 12098914/289873*c_0101_4^6 - 15723680/289873*c_0101_4^5 + 10177680/289873*c_0101_4^4 + 8716668/289873*c_0101_4^3 - 3503688/289873*c_0101_4^2 - 2014888/289873*c_0101_4 + 218473/289873, c_0101_0 + 95614/289873*c_0101_4^15 - 41603/289873*c_0101_4^14 - 943450/289873*c_0101_4^13 - 20091/289873*c_0101_4^12 + 3575081/289873*c_0101_4^11 + 1252573/289873*c_0101_4^10 - 7414370/289873*c_0101_4^9 - 3577184/289873*c_0101_4^8 + 7178895/289873*c_0101_4^7 + 4450325/289873*c_0101_4^6 + 1197847/289873*c_0101_4^5 - 3825765/289873*c_0101_4^4 - 6046549/289873*c_0101_4^3 + 2123538/289873*c_0101_4^2 + 1845702/289873*c_0101_4 - 152562/289873, c_0101_1 - 362108/289873*c_0101_4^15 + 304905/289873*c_0101_4^14 + 3992996/289873*c_0101_4^13 - 1726112/289873*c_0101_4^12 - 18516530/289873*c_0101_4^11 + 2459096/289873*c_0101_4^10 + 50410139/289873*c_0101_4^9 - 209225/289873*c_0101_4^8 - 82121233/289873*c_0101_4^7 - 1471197/289873*c_0101_4^6 + 71433722/289873*c_0101_4^5 + 2603272/289873*c_0101_4^4 - 26365671/289873*c_0101_4^3 - 2410383/289873*c_0101_4^2 + 2093952/289873*c_0101_4 + 50762/289873, c_0101_3 + 90102/289873*c_0101_4^15 + 49321/289873*c_0101_4^14 - 892451/289873*c_0101_4^13 - 1148320/289873*c_0101_4^12 + 3084458/289873*c_0101_4^11 + 6931336/289873*c_0101_4^10 - 4301675/289873*c_0101_4^9 - 19555667/289873*c_0101_4^8 - 2655184/289873*c_0101_4^7 + 31940899/289873*c_0101_4^6 + 16659333/289873*c_0101_4^5 - 30161395/289873*c_0101_4^4 - 18340038/289873*c_0101_4^3 + 12672644/289873*c_0101_4^2 + 6049990/289873*c_0101_4 - 792272/289873, c_0101_4^16 - 12*c_0101_4^14 - 4*c_0101_4^13 + 58*c_0101_4^12 + 32*c_0101_4^11 - 159*c_0101_4^10 - 103*c_0101_4^9 + 269*c_0101_4^8 + 168*c_0101_4^7 - 266*c_0101_4^6 - 140*c_0101_4^5 + 131*c_0101_4^4 + 51*c_0101_4^3 - 23*c_0101_4^2 - 5*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB