Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 2648441264] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s213 geometric_solution 4.35385268 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 -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 0.151623689631 0.211528714420 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609864254244 2.911397383715 1 3 3 4 0132 3201 0213 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174469939060 0.635462969693 4 2 2 1 0132 0213 2310 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -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 0.174469939060 0.635462969693 3 5 2 5 0132 0132 0132 2310 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 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 1.671406241249 0.522624504803 4 4 5 5 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530442949930 0.356107448347 ==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' : negation(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' : negation(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' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], '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_0110_5']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 56036/222825*c_0110_5^8 - 28944/74275*c_0110_5^7 + 263341/222825*c_0110_5^6 + 397454/222825*c_0110_5^5 + 157711/222825*c_0110_5^4 + 62536/74275*c_0110_5^3 - 667814/222825*c_0110_5^2 - 50500/8913*c_0110_5 - 1591148/222825, c_0011_0 - 1, c_0011_1 + 147/2971*c_0110_5^8 + 969/2971*c_0110_5^7 + 422/2971*c_0110_5^6 - 2652/2971*c_0110_5^5 - 3487/2971*c_0110_5^4 - 6895/2971*c_0110_5^3 - 6311/2971*c_0110_5^2 - 2808/2971*c_0110_5 - 38/2971, c_0011_3 + 70/2971*c_0110_5^8 + 37/2971*c_0110_5^7 - 82/2971*c_0110_5^6 - 414/2971*c_0110_5^5 - 1519/2971*c_0110_5^4 + 678/2971*c_0110_5^3 + 1522/2971*c_0110_5^2 + 785/2971*c_0110_5 + 2387/2971, c_0101_1 - 752/2971*c_0110_5^8 - 1501/2971*c_0110_5^7 + 1560/2971*c_0110_5^6 + 4108/2971*c_0110_5^5 + 6217/2971*c_0110_5^4 + 10797/2971*c_0110_5^3 + 8436/2971*c_0110_5^2 + 5573/2971*c_0110_5 + 1690/2971, c_0101_3 - 267/2971*c_0110_5^8 - 608/2971*c_0110_5^7 + 143/2971*c_0110_5^6 + 1664/2971*c_0110_5^5 + 3120/2971*c_0110_5^4 + 4035/2971*c_0110_5^3 + 5824/2971*c_0110_5^2 + 3160/2971*c_0110_5 + 1888/2971, c_0110_5^9 + 2*c_0110_5^8 - c_0110_5^7 - 4*c_0110_5^6 - 11*c_0110_5^5 - 18*c_0110_5^4 - 21*c_0110_5^3 - 15*c_0110_5^2 - 7*c_0110_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB