Magma V2.19-8 Tue Aug 20 2013 16:08:56 on localhost [Seed = 2581071649] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m194 geometric_solution 4.02612013 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 0 2 0 0132 2310 0132 3201 0 0 0 0 0 1 0 -1 0 0 1 -1 0 1 0 -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 -1 0 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 0.069966088377 0.758415961661 0 2 3 2 0132 3201 0132 2310 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 1 0 -1 1 0 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 -0.120612466050 1.307410797854 1 3 1 0 3201 1023 2310 0132 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 0 0 0 0 0 0 0 1 0 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.120612466050 1.307410797854 2 4 4 1 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369129300130 0.334680323867 4 3 3 4 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.687914082620 0.979820134639 ==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' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : 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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 9144698176/86026289*c_0101_4^9 + 16307755808/86026289*c_0101_4^8 - 68494292256/86026289*c_0101_4^7 - 141556934096/86026289*c_0101_4^6 + 4297358292/86026289*c_0101_4^5 + 132538312588/86026289*c_0101_4^4 + 43188833961/86026289*c_0101_4^3 - 37399581158/86026289*c_0101_4^2 + 6658110095/86026289*c_0101_4 + 4511353780/86026289, c_0011_0 - 1, c_0011_2 - 76007664/86026289*c_0101_4^9 - 82128608/86026289*c_0101_4^8 + 652511740/86026289*c_0101_4^7 + 743062258/86026289*c_0101_4^6 - 783082221/86026289*c_0101_4^5 - 800309587/86026289*c_0101_4^4 + 492711094/86026289*c_0101_4^3 + 393631496/86026289*c_0101_4^2 - 313415882/86026289*c_0101_4 + 40971344/86026289, c_0101_0 + 13422336/86026289*c_0101_4^9 + 96858936/86026289*c_0101_4^8 + 9535660/86026289*c_0101_4^7 - 772852868/86026289*c_0101_4^6 - 965102641/86026289*c_0101_4^5 + 389066508/86026289*c_0101_4^4 + 1024094408/86026289*c_0101_4^3 + 198606628/86026289*c_0101_4^2 - 244475720/86026289*c_0101_4 + 70937964/86026289, c_0101_1 - 242953512/86026289*c_0101_4^9 - 460312356/86026289*c_0101_4^8 + 1772937996/86026289*c_0101_4^7 + 3964687051/86026289*c_0101_4^6 + 302778888/86026289*c_0101_4^5 - 3549081722/86026289*c_0101_4^4 - 1613838080/86026289*c_0101_4^3 + 884799578/86026289*c_0101_4^2 + 57877656/86026289*c_0101_4 - 95878569/86026289, c_0101_4^10 + 3/2*c_0101_4^9 - 8*c_0101_4^8 - 107/8*c_0101_4^7 + 39/8*c_0101_4^6 + 29/2*c_0101_4^5 + 3/4*c_0101_4^4 - 11/2*c_0101_4^3 + 7/4*c_0101_4^2 + 1/4*c_0101_4 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB