Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 2766485622] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1282 geometric_solution 5.17611604 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 1 -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 1.990547121749 2.740998613070 0 5 6 4 0132 0132 0132 1230 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283614610156 0.403690821895 5 0 3 6 2310 0132 3012 3201 0 0 0 0 0 1 0 -1 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 -1 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 0.283614610156 0.403690821895 4 2 4 0 1230 1230 2031 0132 0 0 0 0 0 0 0 0 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 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 -0.577529639653 0.754381378592 1 3 0 3 3012 3012 0132 1302 0 0 0 0 0 1 -1 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 -1 1 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 -0.577529639653 0.754381378592 5 1 2 5 3201 0132 3201 2310 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 -0.154864798037 1.090330019376 6 2 6 1 2310 2310 3201 0132 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 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 -0.154864798037 1.090330019376 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_0011_6, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 426769/383*c_0101_5^14 + 1781666/383*c_0101_5^12 - 3375348/383*c_0101_5^10 + 3432076/383*c_0101_5^8 - 2002055/383*c_0101_5^6 + 642161/383*c_0101_5^4 - 97514/383*c_0101_5^2 + 5335/383, c_0011_0 - 1, c_0011_3 + 155390/383*c_0101_5^15 - 797886/383*c_0101_5^13 + 1849728/383*c_0101_5^11 - 2416835/383*c_0101_5^9 + 1900424/383*c_0101_5^7 - 895936/383*c_0101_5^5 + 233088/383*c_0101_5^3 - 25001/383*c_0101_5, c_0011_4 + 155390/383*c_0101_5^15 - 797886/383*c_0101_5^13 + 1849728/383*c_0101_5^11 - 2416835/383*c_0101_5^9 + 1900424/383*c_0101_5^7 - 895936/383*c_0101_5^5 + 233088/383*c_0101_5^3 - 25001/383*c_0101_5, c_0011_6 + 13899/383*c_0101_5^14 - 50701/383*c_0101_5^12 + 78873/383*c_0101_5^10 - 56225/383*c_0101_5^8 + 16598/383*c_0101_5^6 - 2292/383*c_0101_5^4 + 2238/383*c_0101_5^2 - 1189/383, c_0101_1 + 41*c_0101_5^15 - 211*c_0101_5^13 + 496*c_0101_5^11 - 667*c_0101_5^9 + 554*c_0101_5^7 - 288*c_0101_5^5 + 90*c_0101_5^3 - 14*c_0101_5, c_0101_3 + 364326/383*c_0101_5^14 - 1770068/383*c_0101_5^12 + 3903101/383*c_0101_5^10 - 4830529/383*c_0101_5^8 + 3593176/383*c_0101_5^6 - 1597695/383*c_0101_5^4 + 387318/383*c_0101_5^2 - 37464/383, c_0101_5^16 - 211/41*c_0101_5^14 + 496/41*c_0101_5^12 - 667/41*c_0101_5^10 + 554/41*c_0101_5^8 - 288/41*c_0101_5^6 + 90/41*c_0101_5^4 - 15/41*c_0101_5^2 + 1/41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB