Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 981181583] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m106 geometric_solution 3.53095364 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 1 0132 0132 0213 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954063212043 0.995533935801 0 0 0 2 0132 0213 2031 2103 0 0 0 0 0 0 0 0 1 0 -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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.046251389640 1.002351927780 3 0 3 1 0132 0132 1023 2103 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 0 0 0.926624323783 0.513603583165 2 4 2 4 0132 0132 1023 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 0.835387759382 0.176646889217 3 3 4 4 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626672013204 0.121478682089 ==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_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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0101_1, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 2583/5*c_0110_4^11 - 19177/5*c_0110_4^10 - 21054/5*c_0110_4^9 + 86618/5*c_0110_4^8 + 80612/5*c_0110_4^7 - 211151/5*c_0110_4^6 - 45466/5*c_0110_4^5 + 215711/5*c_0110_4^4 - 53491/5*c_0110_4^3 - 69006/5*c_0110_4^2 + 40624/5*c_0110_4 - 6144/5, c_0011_0 - 1, c_0101_1 - 127*c_0110_4^11 - 932*c_0110_4^10 - 950*c_0110_4^9 + 4382*c_0110_4^8 + 3651*c_0110_4^7 - 10843*c_0110_4^6 - 1545*c_0110_4^5 + 11063*c_0110_4^4 - 3324*c_0110_4^3 - 3448*c_0110_4^2 + 2248*c_0110_4 - 365, c_0101_2 + 126*c_0110_4^11 + 932*c_0110_4^10 + 1000*c_0110_4^9 - 4264*c_0110_4^8 - 3833*c_0110_4^7 + 10442*c_0110_4^6 + 1994*c_0110_4^5 - 10658*c_0110_4^4 + 2837*c_0110_4^3 + 3375*c_0110_4^2 - 2065*c_0110_4 + 322, c_0101_3 - c_0110_4^11 - 7*c_0110_4^10 - 5*c_0110_4^9 + 37*c_0110_4^8 + 17*c_0110_4^7 - 95*c_0110_4^6 + 17*c_0110_4^5 + 91*c_0110_4^4 - 56*c_0110_4^3 - 18*c_0110_4^2 + 28*c_0110_4 - 8, c_0110_4^12 + 7*c_0110_4^11 + 5*c_0110_4^10 - 37*c_0110_4^9 - 17*c_0110_4^8 + 95*c_0110_4^7 - 17*c_0110_4^6 - 91*c_0110_4^5 + 56*c_0110_4^4 + 18*c_0110_4^3 - 27*c_0110_4^2 + 9*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB