Magma V2.19-8 Tue Aug 20 2013 16:18:53 on localhost [Seed = 3701293482] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3048 geometric_solution 6.22115342 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 0 1 -1 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 -1.086742379170 0.727660995550 0 0 3 2 0132 2310 0132 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222679798703 0.540554865072 3 4 1 4 1230 0132 0132 1230 0 0 1 0 0 0 -1 1 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 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768116694280 0.923935878132 5 2 5 1 0132 3012 3012 0132 0 0 0 1 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768116694280 0.923935878132 2 2 5 6 3012 0132 0132 0132 0 0 0 1 0 0 0 0 -1 0 0 1 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255539244538 1.018192644642 3 3 6 4 0132 1230 2310 0132 0 0 1 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255539244538 1.018192644642 6 5 4 6 3012 3201 0132 1230 0 0 0 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 0 0 0 0 0 1 0 -1 1 0 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228674122985 0.789623562824 ==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_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_2']), '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_1'], 'c_0110_2' : negation(d['c_0011_2']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_6, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 38195/18984*c_0101_6^7 + 84461/18984*c_0101_6^6 - 169039/9492*c_0101_6^5 - 77429/1582*c_0101_6^4 - 113039/18984*c_0101_6^3 - 51937/18984*c_0101_6^2 - 2194823/18984*c_0101_6 - 1571771/18984, c_0011_0 - 1, c_0011_2 - 1, c_0011_6 - 133/904*c_0101_6^7 + 17/904*c_0101_6^6 + 611/452*c_0101_6^5 + 42/113*c_0101_6^4 - 915/904*c_0101_6^3 + 2643/904*c_0101_6^2 + 1045/904*c_0101_6 + 289/904, c_0101_0 - 183/904*c_0101_6^7 + 3/904*c_0101_6^6 + 839/452*c_0101_6^5 + 181/226*c_0101_6^4 - 1677/904*c_0101_6^3 + 3657/904*c_0101_6^2 + 2923/904*c_0101_6 + 51/904, c_0101_1 + 93/452*c_0101_6^7 + 17/452*c_0101_6^6 - 203/113*c_0101_6^5 - 142/113*c_0101_6^4 + 441/452*c_0101_6^3 - 1651/452*c_0101_6^2 - 1441/452*c_0101_6 - 615/452, c_0101_3 + 31/904*c_0101_6^7 + 81/904*c_0101_6^6 - 173/452*c_0101_6^5 - 99/113*c_0101_6^4 + 373/904*c_0101_6^3 + 203/904*c_0101_6^2 - 1987/904*c_0101_6 - 883/904, c_0101_6^8 + 2*c_0101_6^7 - 9*c_0101_6^6 - 22*c_0101_6^5 - c_0101_6^4 - 6*c_0101_6^3 - 54*c_0101_6^2 - 32*c_0101_6 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB