Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 2732801668] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s158 geometric_solution 4.24030078 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.622881257900 0.165275765412 2 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 -1 1 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 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 0.877273937518 0.232694144475 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 0 1 -1 -1 0 1 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 -1 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 1.142932466892 0.474505202719 4 2 4 5 3012 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 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 0.847316199796 1.140154885932 5 3 2 3 1023 3201 0132 1230 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 -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 0.847316199796 1.140154885932 5 4 3 5 3201 1023 0132 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 -0.419900430606 0.565021095638 ==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_4'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_1'], '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' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0011_1'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 27522/2305*c_0101_3^13 + 112177/4610*c_0101_3^11 + 467473/2305*c_0101_3^9 - 312226/461*c_0101_3^7 + 1569497/2305*c_0101_3^5 - 266897/461*c_0101_3^3 + 1338021/4610*c_0101_3, c_0011_0 - 1, c_0011_1 + 33/2305*c_0101_3^12 + 117/4610*c_0101_3^10 - 707/2305*c_0101_3^8 - 101/461*c_0101_3^6 + 3057/2305*c_0101_3^4 - 115/461*c_0101_3^2 + 1621/4610, c_0011_4 + 733/9220*c_0101_3^13 - 1739/9220*c_0101_3^11 - 6001/4610*c_0101_3^9 + 4543/922*c_0101_3^7 - 28179/4610*c_0101_3^5 + 9711/1844*c_0101_3^3 - 25827/9220*c_0101_3, c_0101_0 - 1597/9220*c_0101_3^13 + 3141/9220*c_0101_3^11 + 13999/4610*c_0101_3^9 - 8669/922*c_0101_3^7 + 38451/4610*c_0101_3^5 - 16423/1844*c_0101_3^3 + 38553/9220*c_0101_3, c_0101_1 - 81/1844*c_0101_3^12 + 45/1844*c_0101_3^10 + 721/922*c_0101_3^8 - 1329/922*c_0101_3^6 + 41/922*c_0101_3^4 - 1187/1844*c_0101_3^2 + 1049/1844, c_0101_3^14 - 2*c_0101_3^12 - 17*c_0101_3^10 + 56*c_0101_3^8 - 56*c_0101_3^6 + 49*c_0101_3^4 - 24*c_0101_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB