Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 3751691252] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0026 geometric_solution 3.59541638 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308614555199 0.145574727716 0 0 1 1 0132 3201 2031 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 0.543428134040 0.025768423916 3 0 4 0 0132 0132 0132 1023 0 0 0 0 0 1 -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 1 -1 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 -3.694080006488 10.118055550149 2 4 5 6 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 -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 0.274326716038 0.503977153184 6 5 3 2 0132 0213 2310 0132 0 0 0 0 0 -1 0 1 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 -1 0 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 0.214518555257 0.101057890967 6 6 4 3 3201 3120 0213 0132 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 0 0 1 -1 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 0.795462458098 0.413184584243 4 5 3 5 0132 3120 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 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 0.795462458098 0.413184584243 ==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_0011_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_1001_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_5']})} 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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 160609/6439*c_1001_4^10 + 171071/6439*c_1001_4^9 + 2941292/6439*c_1001_4^8 - 1531647/6439*c_1001_4^7 - 13494059/6439*c_1001_4^6 - 405797/6439*c_1001_4^5 + 16613201/6439*c_1001_4^4 + 2775385/6439*c_1001_4^3 - 5567295/6439*c_1001_4^2 - 879886/6439*c_1001_4 + 244688/6439, c_0011_0 - 1, c_0011_4 + 239/6439*c_1001_4^10 + 1657/6439*c_1001_4^9 - 7322/6439*c_1001_4^8 - 30891/6439*c_1001_4^7 + 53362/6439*c_1001_4^6 + 138185/6439*c_1001_4^5 - 77288/6439*c_1001_4^4 - 151172/6439*c_1001_4^3 + 31642/6439*c_1001_4^2 + 39263/6439*c_1001_4 - 178/6439, c_0011_5 - 1369/6439*c_1001_4^10 + 2814/6439*c_1001_4^9 + 22732/6439*c_1001_4^8 - 35806/6439*c_1001_4^7 - 88046/6439*c_1001_4^6 + 83771/6439*c_1001_4^5 + 99443/6439*c_1001_4^4 - 55358/6439*c_1001_4^3 - 43468/6439*c_1001_4^2 + 5646/6439*c_1001_4 + 8503/6439, c_0101_0 - 3540/6439*c_1001_4^10 + 5190/6439*c_1001_4^9 + 62800/6439*c_1001_4^8 - 58344/6439*c_1001_4^7 - 275750/6439*c_1001_4^6 + 90869/6439*c_1001_4^5 + 341260/6439*c_1001_4^4 - 31730/6439*c_1001_4^3 - 113746/6439*c_1001_4^2 - 2650/6439*c_1001_4 - 350/6439, c_0101_1 + 6160/6439*c_1001_4^10 - 9138/6439*c_1001_4^9 - 107906/6439*c_1001_4^8 + 101214/6439*c_1001_4^7 + 458725/6439*c_1001_4^6 - 142252/6439*c_1001_4^5 - 527766/6439*c_1001_4^4 + 38821/6439*c_1001_4^3 + 165554/6439*c_1001_4^2 + 5609/6439*c_1001_4 - 4018/6439, c_0101_2 - 6334/6439*c_1001_4^10 + 9277/6439*c_1001_4^9 + 112112/6439*c_1001_4^8 - 104196/6439*c_1001_4^7 - 489160/6439*c_1001_4^6 + 164818/6439*c_1001_4^5 + 598339/6439*c_1001_4^4 - 85168/6439*c_1001_4^3 - 218226/6439*c_1001_4^2 + 18115/6439*c_1001_4 + 12316/6439, c_1001_4^11 - 2*c_1001_4^10 - 17*c_1001_4^9 + 26*c_1001_4^8 + 70*c_1001_4^7 - 68*c_1001_4^6 - 88*c_1001_4^5 + 64*c_1001_4^4 + 36*c_1001_4^3 - 21*c_1001_4^2 - 3*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB