Magma V2.19-8 Tue Aug 20 2013 16:09:05 on localhost [Seed = 1242289344] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m392 geometric_solution 4.85365946 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 0 0 -1 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 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 0 0 0 0 0 0 0.678753064244 1.156293096723 0 1 1 2 0132 3201 2310 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578729779765 0.753180403898 3 0 4 1 1302 0132 2031 0213 0 0 0 0 0 1 -1 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622436601499 0.643199971036 3 2 3 0 2310 2031 3201 0132 0 0 0 0 0 -1 1 0 -1 0 0 1 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 1 -1 -1 0 0 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 0.065668050536 0.902992046175 4 4 0 2 1230 3012 0132 1302 0 0 0 0 0 1 -1 0 1 0 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241584236180 0.634150565576 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_4' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : 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_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], '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_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_4'])})} 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_0011_3, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 577/49*c_0101_1^11 + 1683/49*c_0101_1^10 - 3321/49*c_0101_1^9 - 5749/49*c_0101_1^8 + 4308/49*c_0101_1^7 + 7999/49*c_0101_1^6 - 3510/49*c_0101_1^5 - 8152/49*c_0101_1^4 + 188/7*c_0101_1^3 + 3252/49*c_0101_1^2 + 355/49*c_0101_1 - 271/49, c_0011_0 - 1, c_0011_3 + 75/49*c_0101_1^11 + 138/49*c_0101_1^10 - 663/49*c_0101_1^9 - 274/49*c_0101_1^8 + 1328/49*c_0101_1^7 + 426/49*c_0101_1^6 - 1468/49*c_0101_1^5 - 590/49*c_0101_1^4 + 164/7*c_0101_1^3 + 247/49*c_0101_1^2 - 309/49*c_0101_1 - 90/49, c_0011_4 - 160/49*c_0101_1^11 - 412/49*c_0101_1^10 + 1091/49*c_0101_1^9 + 1313/49*c_0101_1^8 - 1791/49*c_0101_1^7 - 1928/49*c_0101_1^6 + 1763/49*c_0101_1^5 + 2059/49*c_0101_1^4 - 159/7*c_0101_1^3 - 883/49*c_0101_1^2 + 179/49*c_0101_1 + 143/49, c_0101_0 + c_0101_1^11 + 3*c_0101_1^10 - 6*c_0101_1^9 - 12*c_0101_1^8 + 9*c_0101_1^7 + 20*c_0101_1^6 - 7*c_0101_1^5 - 22*c_0101_1^4 + 2*c_0101_1^3 + 13*c_0101_1^2 + c_0101_1 - 3, c_0101_1^12 + 3*c_0101_1^11 - 6*c_0101_1^10 - 12*c_0101_1^9 + 9*c_0101_1^8 + 20*c_0101_1^7 - 7*c_0101_1^6 - 22*c_0101_1^5 + 2*c_0101_1^4 + 13*c_0101_1^3 + 2*c_0101_1^2 - 3*c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB