Magma V2.19-8 Tue Aug 20 2013 16:19:13 on localhost [Seed = 1444399954] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3340 geometric_solution 6.48597116 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0213 0132 0 0 0 0 0 -1 0 1 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 1 -1 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 0.698752904241 0.552164675751 0 0 3 4 0132 0213 2310 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -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 0.029035112453 0.580184192723 4 0 3 5 0213 0132 3201 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244399645212 0.823173720887 2 1 0 6 2310 3201 0132 0132 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 0 -1 1 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 0.801882331535 1.012766152557 2 6 1 5 0213 1302 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.088155210864 0.840879844711 6 6 2 4 0213 3120 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.135410533329 1.442202027037 5 5 3 4 0213 3120 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.436657629089 0.890037351286 ==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' : negation(d['c_0110_5']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0110_5']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : negation(d['c_1001_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_5']), '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_3, c_0011_4, c_0011_6, c_0101_1, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 19363/1233*c_1001_0^11 + 30872/411*c_1001_0^10 - 12587/1233*c_1001_0^9 - 156344/411*c_1001_0^8 + 358054/1233*c_1001_0^7 + 303989/411*c_1001_0^6 - 827524/1233*c_1001_0^5 - 712508/1233*c_1001_0^4 + 558359/1233*c_1001_0^3 + 17922/137*c_1001_0^2 + 3767/411*c_1001_0 - 40154/1233, c_0011_0 - 1, c_0011_3 + 148/137*c_1001_0^11 - 680/137*c_1001_0^10 - 13/137*c_1001_0^9 + 3495/137*c_1001_0^8 - 2135/137*c_1001_0^7 - 6834/137*c_1001_0^6 + 5151/137*c_1001_0^5 + 5208/137*c_1001_0^4 - 3731/137*c_1001_0^3 - 1069/137*c_1001_0^2 + 392/137*c_1001_0 + 429/137, c_0011_4 - 88/137*c_1001_0^11 + 371/137*c_1001_0^10 + 104/137*c_1001_0^9 - 1930/137*c_1001_0^8 + 777/137*c_1001_0^7 + 3845/137*c_1001_0^6 - 2163/137*c_1001_0^5 - 3167/137*c_1001_0^4 + 1626/137*c_1001_0^3 + 1017/137*c_1001_0^2 - 122/137*c_1001_0 - 281/137, c_0011_6 - 166/137*c_1001_0^11 + 759/137*c_1001_0^10 - 28/137*c_1001_0^9 - 3759/137*c_1001_0^8 + 2652/137*c_1001_0^7 + 6758/137*c_1001_0^6 - 6294/137*c_1001_0^5 - 4053/137*c_1001_0^4 + 4431/137*c_1001_0^3 - 121/137*c_1001_0^2 - 62/137*c_1001_0 - 309/137, c_0101_1 + 48/137*c_1001_0^11 - 302/137*c_1001_0^10 + 292/137*c_1001_0^9 + 1389/137*c_1001_0^8 - 2292/137*c_1001_0^7 - 2309/137*c_1001_0^6 + 4829/137*c_1001_0^5 + 1167/137*c_1001_0^4 - 3465/137*c_1001_0^3 + 205/137*c_1001_0^2 + 353/137*c_1001_0 + 228/137, c_0110_5 - 110/137*c_1001_0^11 + 498/137*c_1001_0^10 - 7/137*c_1001_0^9 - 2481/137*c_1001_0^8 + 1759/137*c_1001_0^7 + 4498/137*c_1001_0^6 - 4382/137*c_1001_0^5 - 2760/137*c_1001_0^4 + 3334/137*c_1001_0^3 + 4/137*c_1001_0^2 - 221/137*c_1001_0 - 180/137, c_1001_0^12 - 5*c_1001_0^11 + 2*c_1001_0^10 + 23*c_1001_0^9 - 25*c_1001_0^8 - 37*c_1001_0^7 + 55*c_1001_0^6 + 15*c_1001_0^5 - 39*c_1001_0^4 + 7*c_1001_0^3 + 3*c_1001_0^2 + 2*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB