Magma V2.19-8 Tue Aug 20 2013 16:14:59 on localhost [Seed = 3836049662] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s954 geometric_solution 5.99105213 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 2310 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 1 0 -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 0.429113174767 0.873808667244 0 4 3 5 0132 0132 3012 0132 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 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 0.431399959735 0.817927891244 4 0 5 3 3201 0132 3201 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 -1 0 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 0.431399959735 0.817927891244 0 1 2 0 3201 1230 1230 0132 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553532306918 0.979374272286 4 1 4 2 2310 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.078631092467 1.093207498782 2 5 1 5 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603525290773 0.938829279490 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 14879/1398*c_0101_1*c_0101_2^9 - 343634/3495*c_0101_1*c_0101_2^8 + 506809/3495*c_0101_1*c_0101_2^7 + 71273/1165*c_0101_1*c_0101_2^6 - 2009081/13980*c_0101_1*c_0101_2^5 - 138739/2330*c_0101_1*c_0101_2^4 + 283547/3495*c_0101_1*c_0101_2^3 + 217991/6990*c_0101_1*c_0101_2^2 - 154057/6990*c_0101_1*c_0101_2 - 28844/3495*c_0101_1, c_0011_0 - 1, c_0011_3 - 2*c_0101_2^9 + 16*c_0101_2^8 - 6*c_0101_2^7 - 32*c_0101_2^6 + 5*c_0101_2^5 + 28*c_0101_2^4 + c_0101_2^3 - 14*c_0101_2^2 - 2*c_0101_2 + 3, c_0011_5 + 540/233*c_0101_1*c_0101_2^9 - 4420/233*c_0101_1*c_0101_2^8 + 2404/233*c_0101_1*c_0101_2^7 + 8540/233*c_0101_1*c_0101_2^6 - 3665/233*c_0101_1*c_0101_2^5 - 6562/233*c_0101_1*c_0101_2^4 + 1532/233*c_0101_1*c_0101_2^3 + 2944/233*c_0101_1*c_0101_2^2 - 411/466*c_0101_1*c_0101_2 - 526/233*c_0101_1, c_0101_0 + 99/233*c_0101_1*c_0101_2^9 - 888/233*c_0101_1*c_0101_2^8 + 1264/233*c_0101_1*c_0101_2^7 - 376/233*c_0101_1*c_0101_2^6 - 839/466*c_0101_1*c_0101_2^5 + 793/233*c_0101_1*c_0101_2^4 - 123/233*c_0101_1*c_0101_2^3 - 268/233*c_0101_1*c_0101_2^2 + 379/466*c_0101_1*c_0101_2 + 222/233*c_0101_1, c_0101_1^2 + 556/233*c_0101_2^9 - 4620/233*c_0101_2^8 + 2886/233*c_0101_2^7 + 9656/233*c_0101_2^6 - 4766/233*c_0101_2^5 - 9404/233*c_0101_2^4 + 2430/233*c_0101_2^3 + 5306/233*c_0101_2^2 - 442/233*c_0101_2 - 1408/233, c_0101_2^10 - 8*c_0101_2^9 + 3*c_0101_2^8 + 16*c_0101_2^7 - 5/2*c_0101_2^6 - 14*c_0101_2^5 - 1/2*c_0101_2^4 + 7*c_0101_2^3 + 3/2*c_0101_2^2 - 3/2*c_0101_2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB