Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 947495973] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s681 geometric_solution 5.17895707 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 -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 -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 0.261239505674 0.226360796953 2 0 3 0 0132 2310 0132 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552386704870 1.668105019545 1 4 5 3 0132 0132 0132 1230 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 0 0 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 0.508693373973 1.250997706289 2 5 4 1 3012 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508693373973 1.250997706289 3 2 4 4 2310 0132 2031 1302 0 0 0 0 0 -1 1 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 1 -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 0.393589411694 0.330166474591 5 5 3 2 1302 2031 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446842282988 0.845281412640 ==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' : negation(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' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), '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' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], '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_0101_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : 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_3, c_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 11497017/442138*c_0101_3^16 + 93155718/221069*c_0101_3^14 - 502022302/221069*c_0101_3^12 + 908322476/221069*c_0101_3^10 - 44829489/442138*c_0101_3^8 - 71258574/221069*c_0101_3^6 - 570666223/221069*c_0101_3^4 + 243749353/442138*c_0101_3^2 + 50993746/221069, c_0011_0 - 1, c_0011_1 - 17085/221069*c_0101_3^16 + 283199/221069*c_0101_3^14 - 1591644/221069*c_0101_3^12 + 3229199/221069*c_0101_3^10 - 1076360/221069*c_0101_3^8 + 86170/221069*c_0101_3^6 - 1683474/221069*c_0101_3^4 + 575567/221069*c_0101_3^2 + 35855/221069, c_0011_3 - 42462/221069*c_0101_3^16 + 690880/221069*c_0101_3^14 - 3762304/221069*c_0101_3^12 + 7045145/221069*c_0101_3^10 - 858432/221069*c_0101_3^8 - 325798/221069*c_0101_3^6 - 4671790/221069*c_0101_3^4 + 1430595/221069*c_0101_3^2 + 447985/221069, c_0011_5 + 43709/221069*c_0101_3^16 - 702402/221069*c_0101_3^14 + 3733140/221069*c_0101_3^12 - 6504062/221069*c_0101_3^10 - 523990/221069*c_0101_3^8 + 695203/221069*c_0101_3^6 + 4478723/221069*c_0101_3^4 - 686590/221069*c_0101_3^2 - 419871/221069, c_0101_0 - 206365/221069*c_0101_3^17 + 3342917/221069*c_0101_3^15 - 18004588/221069*c_0101_3^13 + 32545921/221069*c_0101_3^11 - 842131/221069*c_0101_3^9 - 2294491/221069*c_0101_3^7 - 20053369/221069*c_0101_3^5 + 4083329/221069*c_0101_3^3 + 1715891/221069*c_0101_3, c_0101_3^18 - 16*c_0101_3^16 + 84*c_0101_3^14 - 140*c_0101_3^12 - 29*c_0101_3^10 + 14*c_0101_3^8 + 102*c_0101_3^6 - c_0101_3^4 - 14*c_0101_3^2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB