Magma V2.19-8 Tue Aug 20 2013 16:17:09 on localhost [Seed = 3381155101] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1398 geometric_solution 5.24502569 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3120 0132 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 1 1 -2 1 0 0 -1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500819929827 0.493579202545 0 0 4 3 0132 3120 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500819929827 0.493579202545 4 3 5 0 0321 2031 0132 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 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 0.223000027788 1.499377047866 2 4 0 1 1302 3120 0132 1023 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 2 -1 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 1.709739349748 2.294366492163 2 3 5 1 0321 3120 1023 0132 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 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 0.223000027788 1.499377047866 6 6 4 2 0132 3201 1023 0132 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 0.178859797470 0.250257610215 5 6 5 6 0132 2310 2310 3201 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 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 -1.603315923824 0.824815153183 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : 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' : negation(d['c_1100_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1100_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_0011_0']), 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_3, c_0011_4, c_0011_5, c_0101_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 27791916/10990525*c_1100_0^9 - 131866229/10990525*c_1100_0^8 - 1980688/120775*c_1100_0^7 - 45902947/10990525*c_1100_0^6 + 4029636/845425*c_1100_0^5 - 10794817/1570075*c_1100_0^4 - 589241489/10990525*c_1100_0^3 + 51780398/2198105*c_1100_0^2 + 803540411/10990525*c_1100_0 - 182926192/10990525, c_0011_0 - 1, c_0011_2 - 35487/439621*c_1100_0^9 - 152835/439621*c_1100_0^8 - 20585/62803*c_1100_0^7 + 90165/439621*c_1100_0^6 + 116841/439621*c_1100_0^5 - 16591/62803*c_1100_0^4 - 628529/439621*c_1100_0^3 + 55224/33817*c_1100_0^2 + 1191361/439621*c_1100_0 - 818949/439621, c_0011_3 + 90456/439621*c_1100_0^9 + 396153/439621*c_1100_0^8 + 61863/62803*c_1100_0^7 - 83215/439621*c_1100_0^6 - 326146/439621*c_1100_0^5 + 28104/62803*c_1100_0^4 + 1860743/439621*c_1100_0^3 - 106005/33817*c_1100_0^2 - 2516127/439621*c_1100_0 + 1191861/439621, c_0011_4 + 35487/439621*c_1100_0^9 + 152835/439621*c_1100_0^8 + 20585/62803*c_1100_0^7 - 90165/439621*c_1100_0^6 - 116841/439621*c_1100_0^5 + 16591/62803*c_1100_0^4 + 628529/439621*c_1100_0^3 - 55224/33817*c_1100_0^2 - 1191361/439621*c_1100_0 + 818949/439621, c_0011_5 - 19875/62803*c_1100_0^9 - 89436/62803*c_1100_0^8 - 108422/62803*c_1100_0^7 - 12703/62803*c_1100_0^6 + 28741/62803*c_1100_0^5 - 77351/62803*c_1100_0^4 - 408199/62803*c_1100_0^3 + 21044/4831*c_1100_0^2 + 463486/62803*c_1100_0 - 213855/62803, c_0101_2 + 5587/62803*c_1100_0^9 + 26345/62803*c_1100_0^8 + 33439/62803*c_1100_0^7 + 2980/62803*c_1100_0^6 - 9773/62803*c_1100_0^5 + 29947/62803*c_1100_0^4 + 152521/62803*c_1100_0^3 - 3263/4831*c_1100_0^2 - 195639/62803*c_1100_0 + 120407/62803, c_1100_0^10 + 4*c_1100_0^9 + 3*c_1100_0^8 - 3*c_1100_0^7 - 3*c_1100_0^6 + 4*c_1100_0^5 + 19*c_1100_0^4 - 25*c_1100_0^3 - 21*c_1100_0^2 + 27*c_1100_0 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB