Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 1629551936] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s340 geometric_solution 4.53961824 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.380028680076 0.785627266339 0 2 3 0 3201 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583130088635 0.236422067918 3 1 4 3 2031 0132 0132 3201 0 0 0 0 0 0 -1 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 -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 0.380028680076 0.785627266339 4 2 2 1 0132 2310 1302 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 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 0.380028680076 0.785627266339 3 5 5 2 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 -1 0 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 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 -0.074068782952 0.578573208394 5 4 4 5 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.862719829984 0.623943309097 ==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' : d['1'], 's_3_0' : 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_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_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_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_1'], 'c_0101_2' : d['c_0011_1'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0101_0, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 34/13*c_0110_2^7 + 101/13*c_0110_2^5 + 181/13*c_0110_2^3 - 324/13*c_0110_2, c_0011_0 - 1, c_0011_1 + 3/13*c_0110_2^6 - 7/13*c_0110_2^4 - 11/13*c_0110_2^2 + 11/13, c_0011_3 + 6/13*c_0110_2^7 - 14/13*c_0110_2^5 - 35/13*c_0110_2^3 + 35/13*c_0110_2, c_0101_0 + 5/13*c_0110_2^7 - 16/13*c_0110_2^5 - 27/13*c_0110_2^3 + 53/13*c_0110_2, c_0101_5 - 1/13*c_0110_2^6 - 2/13*c_0110_2^4 + 8/13*c_0110_2^2 + 5/13, c_0110_2^8 - 3*c_0110_2^6 - 5*c_0110_2^4 + 9*c_0110_2^2 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 261/49*c_0110_2^9 - 2028/49*c_0110_2^7 + 1166/7*c_0110_2^5 - 1052/7*c_0110_2^3 + 1569/49*c_0110_2, c_0011_0 - 1, c_0011_1 + 9/49*c_0110_2^8 - 75/49*c_0110_2^6 + 46/7*c_0110_2^4 - 58/7*c_0110_2^2 + 120/49, c_0011_3 - 41/49*c_0110_2^9 + 309/49*c_0110_2^7 - 173/7*c_0110_2^5 + 125/7*c_0110_2^3 - 24/49*c_0110_2, c_0101_0 - 152/49*c_0110_2^9 + 1185/49*c_0110_2^7 - 682/7*c_0110_2^5 + 621/7*c_0110_2^3 - 769/49*c_0110_2, c_0101_5 + 62/49*c_0110_2^8 - 484/49*c_0110_2^6 + 278/7*c_0110_2^4 - 251/7*c_0110_2^2 + 255/49, c_0110_2^10 - 8*c_0110_2^8 + 33*c_0110_2^6 - 35*c_0110_2^4 + 11*c_0110_2^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB