Magma V2.19-8 Tue Aug 20 2013 16:18:57 on localhost [Seed = 964207702] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3112 geometric_solution 6.26739755 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 0132 3201 0 0 0 0 0 0 1 -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 1 0 -1 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 0.840625619932 1.496915835260 0 3 5 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473503268124 0.781990760524 4 5 3 0 3201 0132 1023 0132 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 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 0.473503268124 0.781990760524 3 1 2 3 3201 0132 1023 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 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 0.313631668122 0.554628049441 4 4 1 2 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752750076110 0.803290907214 6 2 6 1 0132 0132 2310 0132 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 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 0.392956314706 1.791237077901 5 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246587033657 0.208951315567 ==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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1745954816/13022483625*c_0101_5^14 + 1307230492/1446942625*c_0101_5^12 - 22351156723/13022483625*c_0101_5^10 - 179760494044/13022483625*c_0101_5^8 + 46019921096/4340827875*c_0101_5^6 + 56324912972/13022483625*c_0101_5^4 + 13671822106/4340827875*c_0101_5^2 - 7982086291/13022483625, c_0011_0 - 1, c_0011_2 - 676068/11575541*c_0101_5^15 - 4299849/11575541*c_0101_5^13 + 10520884/11575541*c_0101_5^11 + 67180945/11575541*c_0101_5^9 - 82651256/11575541*c_0101_5^7 - 17209353/11575541*c_0101_5^5 + 15938324/11575541*c_0101_5^3 + 27272513/11575541*c_0101_5, c_0011_4 + 2406678/11575541*c_0101_5^15 + 19182617/11575541*c_0101_5^13 - 10368991/11575541*c_0101_5^11 - 282639062/11575541*c_0101_5^9 - 120298138/11575541*c_0101_5^7 + 268076286/11575541*c_0101_5^5 + 185061015/11575541*c_0101_5^3 + 42935265/11575541*c_0101_5, c_0101_0 + 2791341/11575541*c_0101_5^14 + 19265827/11575541*c_0101_5^12 - 32278191/11575541*c_0101_5^10 - 290609303/11575541*c_0101_5^8 + 170093809/11575541*c_0101_5^6 + 89539665/11575541*c_0101_5^4 + 96944648/11575541*c_0101_5^2 - 1683836/11575541, c_0101_1 - 841323/11575541*c_0101_5^14 - 5940921/11575541*c_0101_5^12 + 8637522/11575541*c_0101_5^10 + 87966319/11575541*c_0101_5^8 - 35762287/11575541*c_0101_5^6 - 17716940/11575541*c_0101_5^4 - 36679425/11575541*c_0101_5^2 - 6668534/11575541, c_0101_3 - 606058/11575541*c_0101_5^15 - 2959483/11575541*c_0101_5^13 + 15663754/11575541*c_0101_5^11 + 50076843/11575541*c_0101_5^9 - 168862370/11575541*c_0101_5^7 + 37580696/11575541*c_0101_5^5 + 63673099/11575541*c_0101_5^3 + 28155713/11575541*c_0101_5, c_0101_5^16 + 7*c_0101_5^14 - 11*c_0101_5^12 - 106*c_0101_5^10 + 52*c_0101_5^8 + 49*c_0101_5^6 + 31*c_0101_5^4 + c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB