Magma V2.19-8 Tue Aug 20 2013 16:14:27 on localhost [Seed = 1157945670] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s439 geometric_solution 4.75170197 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389223010421 0.222238408737 2 0 3 0 0132 2310 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 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 0.673230370803 0.884061234093 1 4 3 3 0132 0132 3012 1230 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 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 1.280896351866 1.274407846935 2 2 4 1 3012 1230 0132 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.280896351866 1.274407846935 5 2 5 3 0132 0132 2310 0132 0 0 0 0 0 0 0 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 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 0.673230370803 0.884061234093 4 4 5 5 0132 3201 1230 3012 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389223010421 0.222238408737 ==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' : negation(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' : d['1'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_1']), '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' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], '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_0101_4']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 9128439/1472*c_0101_4^12 + 6187517/736*c_0101_4^11 - 169042651/1472*c_0101_4^10 - 114895945/1472*c_0101_4^9 + 725992655/1472*c_0101_4^8 + 970253205/1472*c_0101_4^7 - 30018249/46*c_0101_4^6 - 2487136325/1472*c_0101_4^5 - 464199407/1472*c_0101_4^4 + 493027773/1472*c_0101_4^3 + 193559687/1472*c_0101_4^2 + 2369593/736*c_0101_4 - 25686419/1472, c_0011_0 - 1, c_0011_1 - 3647/46*c_0101_4^12 - 39573/368*c_0101_4^11 + 540265/368*c_0101_4^10 + 183801/184*c_0101_4^9 - 2320227/368*c_0101_4^8 - 775661/92*c_0101_4^7 + 3068441/368*c_0101_4^6 + 7951481/368*c_0101_4^5 + 372043/92*c_0101_4^4 - 1575323/368*c_0101_4^3 - 309369/184*c_0101_4^2 - 15655/368*c_0101_4 + 82047/368, c_0011_3 - 61397/368*c_0101_4^12 - 83221/368*c_0101_4^11 + 568487/184*c_0101_4^10 + 772545/368*c_0101_4^9 - 2441481/184*c_0101_4^8 - 6524785/368*c_0101_4^7 + 6461357/368*c_0101_4^6 + 8363045/184*c_0101_4^5 + 3120079/368*c_0101_4^4 - 1657013/184*c_0101_4^3 - 1301111/368*c_0101_4^2 - 32339/368*c_0101_4 + 43247/92, c_0101_0 + 50553/368*c_0101_3*c_0101_4^12 + 68399/368*c_0101_3*c_0101_4^11 - 468193/184*c_0101_3*c_0101_4^10 - 633917/368*c_0101_3*c_0101_4^9 + 1005785/92*c_0101_3*c_0101_4^8 + 5363827/368*c_0101_3*c_0101_4^7 - 5337749/368*c_0101_3*c_0101_4^6 - 3441909/92*c_0101_3*c_0101_4^5 - 2531857/368*c_0101_3*c_0101_4^4 + 1377325/184*c_0101_3*c_0101_4^3 + 1075519/368*c_0101_3*c_0101_4^2 + 22717/368*c_0101_3*c_0101_4 - 35923/92*c_0101_3, c_0101_3^2 - 10397/368*c_0101_4^12 - 14079/368*c_0101_4^11 + 96273/184*c_0101_4^10 + 130557/368*c_0101_4^9 - 206729/92*c_0101_4^8 - 1103727/368*c_0101_4^7 + 1095121/368*c_0101_4^6 + 707567/92*c_0101_4^5 + 525349/368*c_0101_4^4 - 280193/184*c_0101_4^3 - 220255/368*c_0101_4^2 - 5481/368*c_0101_4 + 3647/46, c_0101_4^13 + c_0101_4^12 - 19*c_0101_4^11 - 6*c_0101_4^10 + 84*c_0101_4^9 + 78*c_0101_4^8 - 143*c_0101_4^7 - 235*c_0101_4^6 + 46*c_0101_4^5 + 72*c_0101_4^4 + 2*c_0101_4^3 - 7*c_0101_4^2 - 3*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB