Magma V2.19-8 Tue Aug 20 2013 16:18:37 on localhost [Seed = 3819077328] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2795 geometric_solution 6.02898905 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1302 0 0 0 0 0 0 1 -1 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 1 1 -2 1 0 0 -1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920409561063 0.815088603829 0 4 0 5 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 -1 0 2 -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 0.557726693382 0.527456910194 5 0 3 5 3012 0132 3012 0321 0 0 0 0 0 0 0 0 0 0 -1 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 0 -1 1 0 0 0 -1 1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822909794252 0.923909452928 5 2 4 0 0132 1230 2031 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 1 0 -1 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 0.515279323825 0.516187788243 6 1 6 3 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.902134517467 0.771945331178 3 2 1 2 0132 0321 0132 1230 0 0 0 0 0 0 0 0 0 0 1 -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 1 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.200108797081 1.044001323827 4 6 4 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535766257167 0.188024992415 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : 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_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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_0011_0'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 217980/44213*c_0101_4*c_0101_6^8 + 146850/44213*c_0101_4*c_0101_6^7 - 137734/3401*c_0101_4*c_0101_6^6 - 13056/3401*c_0101_4*c_0101_6^5 + 8104163/88426*c_0101_4*c_0101_6^4 + 131425/88426*c_0101_4*c_0101_6^3 - 323465/4654*c_0101_4*c_0101_6^2 - 1060269/44213*c_0101_4*c_0101_6 + 3147463/88426*c_0101_4, c_0011_0 - 1, c_0011_3 + 268/2327*c_0101_4*c_0101_6^8 + 1224/2327*c_0101_4*c_0101_6^7 + 603/2327*c_0101_4*c_0101_6^6 - 3785/2327*c_0101_4*c_0101_6^5 - 5820/2327*c_0101_4*c_0101_6^4 - 866/2327*c_0101_4*c_0101_6^3 + 6839/2327*c_0101_4*c_0101_6^2 + 8097/2327*c_0101_4*c_0101_6 + 2952/2327*c_0101_4, c_0101_0 + 344/2327*c_0101_6^8 - 96/2327*c_0101_6^7 - 3880/2327*c_0101_6^6 + 525/2327*c_0101_6^5 + 10312/2327*c_0101_6^4 + 1528/2327*c_0101_6^3 - 7198/2327*c_0101_6^2 - 4194/2327*c_0101_6 + 316/2327, c_0101_1 - c_0101_4*c_0101_6 - c_0101_4, c_0101_2 - 634/2327*c_0101_6^8 - 2583/2327*c_0101_6^7 + 2064/2327*c_0101_6^6 + 15362/2327*c_0101_6^5 + 1126/2327*c_0101_6^4 - 29279/2327*c_0101_6^3 - 13765/2327*c_0101_6^2 + 16740/2327*c_0101_6 + 14029/2327, c_0101_4^2 + c_0101_6 - 1, c_0101_6^9 + 3/2*c_0101_6^8 - 8*c_0101_6^7 - 8*c_0101_6^6 + 41/2*c_0101_6^5 + 35/2*c_0101_6^4 - 19*c_0101_6^3 - 20*c_0101_6^2 + 11/2*c_0101_6 + 19/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB