Magma V2.19-8 Tue Aug 20 2013 16:14:35 on localhost [Seed = 223121676] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s570 geometric_solution 5.03129597 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 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 1.004531299714 0.593641650852 0 3 1 1 0132 2031 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770530568374 0.314505404199 5 0 5 3 0132 0132 2031 0132 0 0 0 0 0 0 0 0 1 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 0 0 0 2 0 -2 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492193862439 1.204145584325 1 4 2 0 1302 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.229469431626 0.314505404199 3 5 0 5 1302 1230 0132 2031 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 -2 1 1 -1 0 0 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492193862439 1.204145584325 2 4 4 2 0132 1302 3012 1302 0 0 0 0 0 0 -1 1 -1 0 1 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 -1 -1 2 -2 0 2 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709143338824 0.711576862195 ==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' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : negation(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_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_1010_5']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1010_5']), 'c_1100_3' : negation(d['c_1010_5']), 'c_1100_2' : negation(d['c_1010_5']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_4']), 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 8389/298304*c_1010_5^11 - 38675/298304*c_1010_5^9 - 69341/149152*c_1010_5^7 - 20849/149152*c_1010_5^5 - 2774287/298304*c_1010_5^3 + 1780929/298304*c_1010_5, c_0011_0 - 1, c_0011_3 + 14/4661*c_1010_5^11 - 791/18644*c_1010_5^9 + 1769/9322*c_1010_5^7 - 2062/4661*c_1010_5^5 + 11415/9322*c_1010_5^3 - 6585/18644*c_1010_5, c_0011_4 + 691/37288*c_1010_5^10 - 2841/18644*c_1010_5^8 + 5265/18644*c_1010_5^6 - 28581/18644*c_1010_5^4 + 13199/37288*c_1010_5^2 + 653/4661, c_0101_0 + 37/37288*c_1010_5^10 + 15/9322*c_1010_5^8 - 228/4661*c_1010_5^6 - 863/9322*c_1010_5^4 + 3931/37288*c_1010_5^2 - 1449/4661, c_0101_2 + 803/37288*c_1010_5^11 - 908/4661*c_1010_5^9 + 8803/18644*c_1010_5^7 - 36829/18644*c_1010_5^5 + 58859/37288*c_1010_5^3 + 14671/18644*c_1010_5, c_1010_5^12 - 9*c_1010_5^10 + 22*c_1010_5^8 - 94*c_1010_5^6 + 69*c_1010_5^4 - 5*c_1010_5^2 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB