Magma V2.19-8 Tue Aug 20 2013 16:17:40 on localhost [Seed = 2699115585] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1899 geometric_solution 5.51185894 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.451515062423 0.248902506575 0 3 0 3 0132 0132 2310 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.698585261060 0.936363289500 4 0 5 0 0132 2310 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849899676517 0.687460782925 1 1 4 5 3201 0132 3012 1230 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 -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 0 0.303151869725 1.388438191672 2 3 4 4 0132 1230 1230 3012 0 0 0 0 0 0 -1 1 -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 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.041831385859 1.067897632278 3 6 6 2 3012 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769369908218 0.578107566214 5 5 6 6 2310 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.701346041793 0.861021690486 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), '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_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), '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_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 151073/2336*c_0101_6^11 - 245401/2336*c_0101_6^10 + 54809/73*c_0101_6^9 + 1909009/2336*c_0101_6^8 - 3153507/1168*c_0101_6^7 + 708967/2336*c_0101_6^6 + 10313995/2336*c_0101_6^5 - 6086309/1168*c_0101_6^4 + 2617881/2336*c_0101_6^3 + 396149/584*c_0101_6^2 - 1346801/2336*c_0101_6 - 397101/2336, c_0011_0 - 1, c_0011_2 - 329/584*c_0101_6^11 - 609/584*c_0101_6^10 + 915/146*c_0101_6^9 + 4905/584*c_0101_6^8 - 6225/292*c_0101_6^7 - 429/584*c_0101_6^6 + 22075/584*c_0101_6^5 - 11819/292*c_0101_6^4 + 1797/584*c_0101_6^3 + 1409/146*c_0101_6^2 - 4429/584*c_0101_6 - 1333/584, c_0101_0 - 2879/584*c_0101_5*c_0101_6^11 - 4885/584*c_0101_5*c_0101_6^10 + 16599/292*c_0101_5*c_0101_6^9 + 38929/584*c_0101_5*c_0101_6^8 - 59461/292*c_0101_5*c_0101_6^7 + 4007/584*c_0101_5*c_0101_6^6 + 202679/584*c_0101_5*c_0101_6^5 - 110147/292*c_0101_5*c_0101_6^4 + 25437/584*c_0101_5*c_0101_6^3 + 22453/292*c_0101_5*c_0101_6^2 - 27737/584*c_0101_5*c_0101_6 - 9903/584*c_0101_5, c_0101_1 + 1, c_0101_2 - 477/584*c_0101_6^11 - 855/584*c_0101_6^10 + 1363/146*c_0101_6^9 + 7005/584*c_0101_6^8 - 2434/73*c_0101_6^7 - 1415/584*c_0101_6^6 + 35331/584*c_0101_6^5 - 8487/146*c_0101_6^4 - 1965/584*c_0101_6^3 + 2957/146*c_0101_6^2 - 5209/584*c_0101_6 - 2723/584, c_0101_5^2 + 49/584*c_0101_6^11 + 41/584*c_0101_6^10 - 86/73*c_0101_6^9 - 277/584*c_0101_6^8 + 1595/292*c_0101_6^7 - 955/584*c_0101_6^6 - 5543/584*c_0101_6^5 + 3037/292*c_0101_6^4 + 43/584*c_0101_6^3 - 421/73*c_0101_6^2 + 641/584*c_0101_6 + 329/584, c_0101_6^12 + 2*c_0101_6^11 - 11*c_0101_6^10 - 17*c_0101_6^9 + 37*c_0101_6^8 + 11*c_0101_6^7 - 70*c_0101_6^6 + 55*c_0101_6^5 + 13*c_0101_6^4 - 17*c_0101_6^3 + 5*c_0101_6^2 + 6*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB