Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 1410713675] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s667 geometric_solution 5.15966797 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.559505742314 1.163693512541 0 3 2 5 0132 1230 2031 0132 0 0 0 0 0 0 1 -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 0 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 0.636981669808 0.365873345015 4 0 5 1 3012 0132 0132 1302 0 0 0 0 0 1 0 -1 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 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 0.636981669808 0.365873345015 5 4 1 0 0132 3012 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560478464298 0.854281167269 3 5 0 2 1230 0132 0132 1230 0 0 0 0 0 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 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 0.560478464298 0.854281167269 3 4 1 2 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901850043705 0.501427929210 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : d['1'], 's_2_5' : 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' : 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_5' : d['c_0101_1'], 'c_1100_4' : d['c_0110_2'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : 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_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_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_2'], 'c_0110_4' : negation(d['c_0011_0']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_1001_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_0101_0, c_0101_1, c_0101_2, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 11/20*c_1001_2^6 - 13/20*c_1001_2^5 - 11/4*c_1001_2^4 + 91/20*c_1001_2^3 - 45/4*c_1001_2^2 + 251/20*c_1001_2 - 139/20, c_0011_0 - 1, c_0101_0 - c_1001_2, c_0101_1 - c_1001_2^6 + 4*c_1001_2^5 - 7*c_1001_2^4 + 12*c_1001_2^3 - 11*c_1001_2^2 + 7*c_1001_2 - 1, c_0101_2 + 2*c_1001_2^6 - 8*c_1001_2^5 + 13*c_1001_2^4 - 21*c_1001_2^3 + 19*c_1001_2^2 - 10*c_1001_2 + 1, c_0110_2 + 2*c_1001_2^6 - 9*c_1001_2^5 + 17*c_1001_2^4 - 28*c_1001_2^3 + 30*c_1001_2^2 - 19*c_1001_2 + 5, c_1001_2^7 - 5*c_1001_2^6 + 11*c_1001_2^5 - 19*c_1001_2^4 + 23*c_1001_2^3 - 19*c_1001_2^2 + 9*c_1001_2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB