Magma V2.19-8 Tue Aug 20 2013 16:16:11 on localhost [Seed = 341149904] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0445 geometric_solution 4.48915148 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 0 1 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 0.638859127533 1.210538459945 0 2 4 4 0132 1302 2310 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278971544584 0.863591086899 3 0 0 1 0213 0132 2031 2031 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 1 -1 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 0.659010405454 0.646122127476 2 5 5 0 0213 0132 3201 0132 0 0 0 0 0 0 0 0 -1 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155831989858 0.426465717994 6 1 1 6 0132 3201 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 -0.508111914933 0.421839773599 3 3 5 5 2310 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.494870778242 0.691915719221 4 4 6 6 0132 2310 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.506045834310 0.321119627675 ==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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : d['c_0101_0'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_1']), '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_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 8*c_0101_5^2 - 5*c_0101_5 - 17, c_0011_0 - 1, c_0011_3 - c_0101_5^2 + 1, c_0011_4 + c_0101_5, c_0101_0 - c_0101_5^2 + 1, c_0101_1 + c_0101_5, c_0101_5^3 - c_0101_5^2 - 2*c_0101_5 + 1, c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 27961/66115*c_0101_6^14 + 217299/66115*c_0101_6^13 + 8124/1889*c_0101_6^12 - 1045732/66115*c_0101_6^11 - 2955987/66115*c_0101_6^10 - 2965743/66115*c_0101_6^9 - 64027/66115*c_0101_6^8 + 4816178/66115*c_0101_6^7 + 7642752/66115*c_0101_6^6 + 8320349/66115*c_0101_6^5 + 6695488/66115*c_0101_6^4 + 4202403/66115*c_0101_6^3 + 2038522/66115*c_0101_6^2 + 751291/66115*c_0101_6 + 199119/66115, c_0011_0 - 1, c_0011_3 + 40449/13223*c_0101_6^14 + 139501/13223*c_0101_6^13 - 18550/1889*c_0101_6^12 - 837027/13223*c_0101_6^11 - 1049663/13223*c_0101_6^10 - 365257/13223*c_0101_6^9 + 1050667/13223*c_0101_6^8 + 2215811/13223*c_0101_6^7 + 2629471/13223*c_0101_6^6 + 2359863/13223*c_0101_6^5 + 1499997/13223*c_0101_6^4 + 777555/13223*c_0101_6^3 + 322402/13223*c_0101_6^2 + 81496/13223*c_0101_6 - 2089/13223, c_0011_4 - 14764/13223*c_0101_6^14 - 55780/13223*c_0101_6^13 + 4075/1889*c_0101_6^12 + 315955/13223*c_0101_6^11 + 491388/13223*c_0101_6^10 + 280867/13223*c_0101_6^9 - 288788/13223*c_0101_6^8 - 867161/13223*c_0101_6^7 - 1256861/13223*c_0101_6^6 - 1302227/13223*c_0101_6^5 - 1015962/13223*c_0101_6^4 - 611831/13223*c_0101_6^3 - 297662/13223*c_0101_6^2 - 118422/13223*c_0101_6 - 10842/13223, c_0101_0 + 12575/13223*c_0101_6^14 + 68822/13223*c_0101_6^13 + 6547/1889*c_0101_6^12 - 348427/13223*c_0101_6^11 - 847776/13223*c_0101_6^10 - 727136/13223*c_0101_6^9 + 141444/13223*c_0101_6^8 + 1322114/13223*c_0101_6^7 + 2115636/13223*c_0101_6^6 + 2283878/13223*c_0101_6^5 + 1920452/13223*c_0101_6^4 + 1183891/13223*c_0101_6^3 + 599994/13223*c_0101_6^2 + 244155/13223*c_0101_6 + 50152/13223, c_0101_1 - 2136/13223*c_0101_6^14 + 12841/13223*c_0101_6^13 + 9967/1889*c_0101_6^12 - 44643/13223*c_0101_6^11 - 342389/13223*c_0101_6^10 - 358065/13223*c_0101_6^9 - 45048/13223*c_0101_6^8 + 456315/13223*c_0101_6^7 + 738384/13223*c_0101_6^6 + 763060/13223*c_0101_6^5 + 661140/13223*c_0101_6^4 + 399340/13223*c_0101_6^3 + 205876/13223*c_0101_6^2 + 102519/13223*c_0101_6 + 25250/13223, c_0101_5 + 39747/13223*c_0101_6^14 + 110478/13223*c_0101_6^13 - 28301/1889*c_0101_6^12 - 680060/13223*c_0101_6^11 - 592895/13223*c_0101_6^10 - 24625/13223*c_0101_6^9 + 992330/13223*c_0101_6^8 + 1521402/13223*c_0101_6^7 + 1668552/13223*c_0101_6^6 + 1345396/13223*c_0101_6^5 + 706688/13223*c_0101_6^4 + 375273/13223*c_0101_6^3 + 119512/13223*c_0101_6^2 + 18728/13223*c_0101_6 - 9465/13223, c_0101_6^15 + 3*c_0101_6^14 - 4*c_0101_6^13 - 17*c_0101_6^12 - 20*c_0101_6^11 - 11*c_0101_6^10 + 16*c_0101_6^9 + 40*c_0101_6^8 + 59*c_0101_6^7 + 62*c_0101_6^6 + 49*c_0101_6^5 + 35*c_0101_6^4 + 19*c_0101_6^3 + 9*c_0101_6^2 + 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB