Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 1410713730] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1507 geometric_solution 5.31232066 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 1 -1 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 -1 0 1 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 0.210530233042 2.400108690144 0 1 0 1 0132 2310 2310 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.475037951646 0.435193099569 4 3 5 0 0132 1023 0132 0132 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 0 0 0 0 0 0 0 -0.057826612331 0.835533439969 2 4 0 5 1023 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 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 -0.057826612331 0.835533439969 2 4 3 4 0132 2310 2310 3201 0 0 0 0 0 -1 1 0 0 0 -1 1 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 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 0.082437499653 1.191134754227 6 6 3 2 0132 3201 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 0.029989329512 0.590939788574 5 6 5 6 0132 2310 2310 3201 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 0 0 0 0 -0.942258450112 0.895652785205 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : 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' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1058543/221784*c_0101_2*c_1100_0^9 - 404443/27723*c_0101_2*c_1100_0^8 + 1848167/55446*c_0101_2*c_1100_0^7 + 30295525/221784*c_0101_2*c_1100_0^6 - 7449181/110892*c_0101_2*c_1100_0^5 - 133536055/221784*c_0101_2*c_1100_0^4 - 109466617/221784*c_0101_2*c_1100_0^3 + 12122777/36964*c_0101_2*c_1100_0^2 + 41005723/73928*c_0101_2*c_1100_0 + 3056277/18482*c_0101_2, c_0011_0 - 1, c_0011_2 - 10575/73928*c_1100_0^9 - 4709/9241*c_1100_0^8 + 17673/18482*c_1100_0^7 + 345773/73928*c_1100_0^6 - 53725/36964*c_1100_0^5 - 1473407/73928*c_1100_0^4 - 1366369/73928*c_1100_0^3 + 319339/36964*c_1100_0^2 + 1518193/73928*c_1100_0 + 161855/18482, c_0011_5 + 11547/36964*c_1100_0^9 + 7067/9241*c_1100_0^8 - 23041/9241*c_1100_0^7 - 264901/36964*c_1100_0^6 + 135737/18482*c_1100_0^5 + 1195027/36964*c_1100_0^4 + 675825/36964*c_1100_0^3 - 362989/18482*c_1100_0^2 - 928021/36964*c_1100_0 - 75946/9241, c_0101_0 + 3526/9241*c_0101_2*c_1100_0^9 + 7718/9241*c_0101_2*c_1100_0^8 - 27427/9241*c_0101_2*c_1100_0^7 - 72316/9241*c_0101_2*c_1100_0^6 + 75041/9241*c_0101_2*c_1100_0^5 + 332079/9241*c_0101_2*c_1100_0^4 + 226497/9241*c_0101_2*c_1100_0^3 - 185944/9241*c_0101_2*c_1100_0^2 - 317785/9241*c_0101_2*c_1100_0 - 120229/9241*c_0101_2, c_0101_1 + 2860/9241*c_0101_2*c_1100_0^9 + 5605/9241*c_0101_2*c_1100_0^8 - 23667/9241*c_0101_2*c_1100_0^7 - 52089/9241*c_0101_2*c_1100_0^6 + 75942/9241*c_0101_2*c_1100_0^5 + 241826/9241*c_0101_2*c_1100_0^4 + 107539/9241*c_0101_2*c_1100_0^3 - 141529/9241*c_0101_2*c_1100_0^2 - 154354/9241*c_0101_2*c_1100_0 - 49019/9241*c_0101_2, c_0101_2^2 - 8679/36964*c_1100_0^9 - 13747/18482*c_1100_0^8 + 16329/9241*c_1100_0^7 + 257553/36964*c_1100_0^6 - 41282/9241*c_1100_0^5 - 1122895/36964*c_1100_0^4 - 758143/36964*c_1100_0^3 + 166896/9241*c_1100_0^2 + 943037/36964*c_1100_0 + 156995/18482, c_1100_0^10 + 4*c_1100_0^9 - 4*c_1100_0^8 - 35*c_1100_0^7 - 14*c_1100_0^6 + 137*c_1100_0^5 + 227*c_1100_0^4 + 42*c_1100_0^3 - 183*c_1100_0^2 - 168*c_1100_0 - 48 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB