Magma V2.19-8 Tue Aug 20 2013 16:18:16 on localhost [Seed = 896837632] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2486 geometric_solution 5.81595893 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3012 0 0 0 0 0 0 -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 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 0.072852778930 1.413521893764 0 2 5 4 0132 3201 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 -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 -0.019911519053 1.262590136346 6 0 1 6 0132 0132 2310 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 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 0.482038297026 0.556302034775 6 5 0 0 2031 2031 1230 0132 0 0 0 0 0 0 -1 1 -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 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 0.072852778930 1.413521893764 5 6 1 5 1302 0321 0132 3012 0 0 0 0 0 1 -1 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 -1 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 -0.233265573237 0.165597800861 3 4 4 1 1302 2031 1230 0132 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 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 0 0 0 0 0 0 0 0 0.925260378713 0.632020410340 2 2 3 4 0132 2310 1302 0321 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 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 0.110356125609 1.026704103392 ==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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_3'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_5']), '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' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_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_0011_4, c_0011_5, c_0101_1, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 5680/49*c_0110_4^9 + 19594/49*c_0110_4^8 - 5085/49*c_0110_4^7 - 53961/49*c_0110_4^6 - 44263/49*c_0110_4^5 + 63859/49*c_0110_4^4 + 32997/49*c_0110_4^3 - 45992/49*c_0110_4^2 - 8476/49*c_0110_4 + 10210/49, c_0011_0 - 1, c_0011_3 - 1, c_0011_4 - 132*c_0110_4^9 - 432*c_0110_4^8 + 183*c_0110_4^7 + 1190*c_0110_4^6 + 851*c_0110_4^5 - 1550*c_0110_4^4 - 466*c_0110_4^3 + 1003*c_0110_4^2 + 68*c_0110_4 - 184, c_0011_5 - 144*c_0110_4^9 - 472*c_0110_4^8 + 196*c_0110_4^7 + 1295*c_0110_4^6 + 936*c_0110_4^5 - 1676*c_0110_4^4 - 507*c_0110_4^3 + 1081*c_0110_4^2 + 76*c_0110_4 - 196, c_0101_1 + 40*c_0110_4^9 + 132*c_0110_4^8 - 52*c_0110_4^7 - 362*c_0110_4^6 - 266*c_0110_4^5 + 463*c_0110_4^4 + 151*c_0110_4^3 - 305*c_0110_4^2 - 25*c_0110_4 + 56, c_0101_3 - 64*c_0110_4^9 - 208*c_0110_4^8 + 93*c_0110_4^7 + 574*c_0110_4^6 + 402*c_0110_4^5 - 758*c_0110_4^4 - 210*c_0110_4^3 + 484*c_0110_4^2 + 27*c_0110_4 - 88, c_0110_4^10 + 4*c_0110_4^9 + c_0110_4^8 - 10*c_0110_4^7 - 13*c_0110_4^6 + 7*c_0110_4^5 + 12*c_0110_4^4 - 5*c_0110_4^3 - 6*c_0110_4^2 + c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB