Magma V2.19-8 Tue Aug 20 2013 16:14:53 on localhost [Seed = 2017059856] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s858 geometric_solution 5.49443542 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -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 1 0 -1 -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 0.572771760206 0.882295972654 0 3 5 4 0132 0132 0132 0132 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 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 0 0 0 0.664564584970 0.609558895187 3 0 4 5 3201 0132 3201 2310 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 -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 0.664564584970 0.609558895187 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.351427208436 1.022503498850 2 4 1 4 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 1 0 -1 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.882689103568 0.608238048785 2 5 5 1 3201 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949876468805 0.590550977996 ==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' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 113666618/59053565*c_0101_5^10 + 448357349/59053565*c_0101_5^9 - 1112603839/59053565*c_0101_5^8 + 1931601439/59053565*c_0101_5^7 - 3995690201/59053565*c_0101_5^6 + 441664209/11810713*c_0101_5^5 - 256119668/11810713*c_0101_5^4 - 141156702/11810713*c_0101_5^3 + 5607506536/59053565*c_0101_5^2 - 97679967/11810713*c_0101_5 - 2067077049/59053565, c_0011_0 - 1, c_0011_4 - 7139231/11810713*c_0101_5^10 - 26689758/11810713*c_0101_5^9 + 72384219/11810713*c_0101_5^8 - 149844719/11810713*c_0101_5^7 + 299721186/11810713*c_0101_5^6 - 255264232/11810713*c_0101_5^5 + 227582400/11810713*c_0101_5^4 - 63957363/11810713*c_0101_5^3 - 250048475/11810713*c_0101_5^2 + 99037527/11810713*c_0101_5 + 43648174/11810713, c_0101_0 - 6974425/11810713*c_0101_5^10 - 24786352/11810713*c_0101_5^9 + 76415014/11810713*c_0101_5^8 - 153740751/11810713*c_0101_5^7 + 323134698/11810713*c_0101_5^6 - 291685593/11810713*c_0101_5^5 + 265172295/11810713*c_0101_5^4 - 119464862/11810713*c_0101_5^3 - 236869630/11810713*c_0101_5^2 + 94939397/11810713*c_0101_5 + 36837547/11810713, c_0101_1 - 5676908/11810713*c_0101_5^10 - 21434976/11810713*c_0101_5^9 + 57143716/11810713*c_0101_5^8 - 114037952/11810713*c_0101_5^7 + 237782808/11810713*c_0101_5^6 - 191740017/11810713*c_0101_5^5 + 184882553/11810713*c_0101_5^4 - 59329708/11810713*c_0101_5^3 - 190062636/11810713*c_0101_5^2 + 40286036/11810713*c_0101_5 + 31424746/11810713, c_0101_2 + 6772571/11810713*c_0101_5^10 + 25035411/11810713*c_0101_5^9 - 70943107/11810713*c_0101_5^8 + 138928028/11810713*c_0101_5^7 - 285696000/11810713*c_0101_5^6 + 234944819/11810713*c_0101_5^5 - 197026509/11810713*c_0101_5^4 + 59856404/11810713*c_0101_5^3 + 259476833/11810713*c_0101_5^2 - 86709598/11810713*c_0101_5 - 57969873/11810713, c_0101_5^11 + 3*c_0101_5^10 - 13*c_0101_5^9 + 28*c_0101_5^8 - 57*c_0101_5^7 + 65*c_0101_5^6 - 55*c_0101_5^5 + 30*c_0101_5^4 + 32*c_0101_5^3 - 40*c_0101_5^2 + 2*c_0101_5 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB