Magma V2.19-8 Tue Aug 20 2013 16:16:40 on localhost [Seed = 4139215420] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0961 geometric_solution 4.85685584 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 0 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 1 0 -1 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 1.019871066887 0.462364300875 0 4 4 5 0132 0132 1023 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 0 0 0 0 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798810342648 0.244224447421 0 0 5 5 3201 0132 2310 1023 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 -1 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 0.834554665098 0.393691351447 5 3 3 0 0132 1230 3012 0132 0 0 0 0 0 0 1 -1 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925614939550 0.628044101514 6 1 1 6 0132 0132 1023 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 0 -1 1 0 0 0 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 1.048357837856 0.266417757878 3 2 1 2 0132 3201 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 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 1.019871066887 0.462364300875 4 6 6 4 0132 3201 2310 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 0 0 0 0 0 1 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.122452692820 0.182906386139 ==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' : 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' : negation(d['1']), 's_1_1' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], '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_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0110_2'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0110_2'])})} 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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 47801227/6569144064*c_0110_2^13 - 34559917/938449152*c_0110_2^12 - 111732295/938449152*c_0110_2^11 - 135169063/469224576*c_0110_2^10 - 3835008487/6569144064*c_0110_2^9 - 252941867/273714336*c_0110_2^8 - 7442971651/6569144064*c_0110_2^7 - 2442981731/3284572032*c_0110_2^6 + 873158609/1642286016*c_0110_2^5 + 1185732113/410571504*c_0110_2^4 + 2159860853/410571504*c_0110_2^3 + 1358309791/205285752*c_0110_2^2 + 1012525/189378*c_0110_2 + 138345071/51321438, c_0011_0 - 1, c_0101_0 - 1/128*c_0110_2^13 - 3/128*c_0110_2^12 - 9/128*c_0110_2^11 - 1/8*c_0110_2^10 - 29/128*c_0110_2^9 - 13/64*c_0110_2^8 - 13/128*c_0110_2^7 + 15/32*c_0110_2^6 + 33/32*c_0110_2^5 + 15/8*c_0110_2^4 + 3/2*c_0110_2^3 + 3/4*c_0110_2^2 - 5/2*c_0110_2 - 2, c_0101_1 - 13/864*c_0110_2^13 + 13/1728*c_0110_2^12 - 95/1728*c_0110_2^11 + 29/1728*c_0110_2^10 - 35/432*c_0110_2^9 + 133/576*c_0110_2^8 - 37/864*c_0110_2^7 + 1063/1728*c_0110_2^6 - 133/864*c_0110_2^5 + 119/216*c_0110_2^4 - 119/108*c_0110_2^3 + 1/108*c_0110_2^2 - 61/54*c_0110_2 + 23/27, c_0101_3 + 13/1152*c_0110_2^13 + 1/1152*c_0110_2^12 + 67/1152*c_0110_2^11 + 13/576*c_0110_2^10 + 121/1152*c_0110_2^9 - 5/96*c_0110_2^8 + 109/1152*c_0110_2^7 - 253/576*c_0110_2^6 - 35/288*c_0110_2^5 - 91/144*c_0110_2^4 + 11/36*c_0110_2^3 - 1/9*c_0110_2^2 + 13/18*c_0110_2 - 2/9, c_0101_4 - 1/3456*c_0110_2^13 - 1/3456*c_0110_2^12 - 7/3456*c_0110_2^11 - 1/1728*c_0110_2^10 - 25/3456*c_0110_2^9 + 1/144*c_0110_2^8 - 61/3456*c_0110_2^7 + 91/1728*c_0110_2^6 - 29/432*c_0110_2^5 + 11/54*c_0110_2^4 - 19/54*c_0110_2^3 - 29/108*c_0110_2^2 - 14/27*c_0110_2 - 1/27, c_0101_6 - 29/1728*c_0110_2^13 - 5/108*c_0110_2^12 - 103/864*c_0110_2^11 - 355/1728*c_0110_2^10 - 503/1728*c_0110_2^9 - 125/576*c_0110_2^8 + 463/1728*c_0110_2^7 + 1699/1728*c_0110_2^6 + 1913/864*c_0110_2^5 + 973/432*c_0110_2^4 + 101/54*c_0110_2^3 - 41/27*c_0110_2^2 - 139/54*c_0110_2 - 109/27, c_0110_2^14 + 3*c_0110_2^13 + 9*c_0110_2^12 + 16*c_0110_2^11 + 29*c_0110_2^10 + 26*c_0110_2^9 + 13*c_0110_2^8 - 60*c_0110_2^7 - 132*c_0110_2^6 - 240*c_0110_2^5 - 192*c_0110_2^4 - 96*c_0110_2^3 + 192*c_0110_2^2 + 256*c_0110_2 + 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB