Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 3482211309] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s328 geometric_solution 4.51106098 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642747606893 0.228112160904 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.975473868208 0.262283263093 1 3 3 4 0132 0213 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761067842356 0.566968883520 4 2 2 1 0132 1230 0213 0132 0 0 0 0 0 0 0 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 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 0.761067842356 0.566968883520 3 5 2 5 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.869149941927 1.337925939183 4 4 5 5 3201 0132 1230 3012 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 -1 0 1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226146602489 0.445898385889 ==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_0110_5'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_1']), '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_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), '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_3, c_0101_0, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 2640379/248312*c_0110_5^11 - 7229491/124156*c_0110_5^10 - 14717035/248312*c_0110_5^9 + 16540209/124156*c_0110_5^8 + 50508401/248312*c_0110_5^7 + 3708319/62078*c_0110_5^6 + 58190235/124156*c_0110_5^5 + 184873629/248312*c_0110_5^4 + 4803395/248312*c_0110_5^3 - 66900577/248312*c_0110_5^2 + 12108687/248312*c_0110_5 + 8073243/248312, c_0011_0 - 1, c_0011_1 - 35877/62078*c_0110_5^11 - 92927/31039*c_0110_5^10 - 151391/62078*c_0110_5^9 + 237098/31039*c_0110_5^8 + 562775/62078*c_0110_5^7 + 50644/31039*c_0110_5^6 + 768128/31039*c_0110_5^5 + 2075389/62078*c_0110_5^4 - 359541/62078*c_0110_5^3 - 802645/62078*c_0110_5^2 + 186895/62078*c_0110_5 + 46403/62078, c_0011_3 - 8117/62078*c_0110_5^11 - 19326/31039*c_0110_5^10 - 29815/62078*c_0110_5^9 + 38593/31039*c_0110_5^8 + 97365/62078*c_0110_5^7 + 36466/31039*c_0110_5^6 + 171176/31039*c_0110_5^5 + 474409/62078*c_0110_5^4 + 78281/62078*c_0110_5^3 - 13771/62078*c_0110_5^2 + 103317/62078*c_0110_5 - 19633/62078, c_0101_0 - 26011/62078*c_0110_5^11 - 72733/31039*c_0110_5^10 - 165949/62078*c_0110_5^9 + 146948/31039*c_0110_5^8 + 545115/62078*c_0110_5^7 + 129880/31039*c_0110_5^6 + 579727/31039*c_0110_5^5 + 1950557/62078*c_0110_5^4 + 390021/62078*c_0110_5^3 - 683639/62078*c_0110_5^2 - 99963/62078*c_0110_5 + 87543/62078, c_0101_1 + 16972/31039*c_0110_5^11 + 95659/31039*c_0110_5^10 + 97980/31039*c_0110_5^9 - 233020/31039*c_0110_5^8 - 330029/31039*c_0110_5^7 - 51363/31039*c_0110_5^6 - 806466/31039*c_0110_5^5 - 1198590/31039*c_0110_5^4 + 89252/31039*c_0110_5^3 + 383561/31039*c_0110_5^2 - 83631/31039*c_0110_5 + 3779/31039, c_0110_5^12 + 5*c_0110_5^11 + 3*c_0110_5^10 - 15*c_0110_5^9 - 13*c_0110_5^8 + 3*c_0110_5^7 - 42*c_0110_5^6 - 49*c_0110_5^5 + 30*c_0110_5^4 + 24*c_0110_5^3 - 16*c_0110_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB