Magma V2.19-8 Tue Aug 20 2013 16:18:32 on localhost [Seed = 2050746185] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2721 geometric_solution 5.97062617 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 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 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 0.103785075631 1.094627224669 0 5 2 6 0132 0132 0321 0132 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 1 -1 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 2.026068572516 1.285211825977 6 0 1 5 3012 0132 0321 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566785416823 0.766555172857 3 4 3 0 2031 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158744958934 0.694103846027 6 5 0 3 1230 1230 0132 3201 0 0 0 0 0 -1 1 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 -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 0.283941986329 1.935786827085 6 1 4 2 0321 0132 3012 2103 0 0 0 0 0 0 0 0 -1 0 1 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 -1 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 -0.015775719788 0.777761867189 5 4 1 2 0321 3012 0132 1230 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 1 0 0 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762046906630 0.358759561191 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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_0110_2'], 'c_1100_5' : negation(d['c_0110_2']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0011_4']), 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0110_2'], '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_0110_2'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0110_2']})} 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_6, c_0101_0, c_0101_1, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 4615297929/21337222976*c_0110_2^17 - 27663079343/21337222976*c_0110_2^15 + 53100866319/21337222976*c_0110_2^13 - 62307377697/10668611488*c_0110_2^11 + 148547206921/21337222976*c_0110_2^9 - 3978986867/10668611488*c_0110_2^7 - 133651494395/21337222976*c_0110_2^5 + 104020930373/21337222976*c_0110_2^3 - 7388175305/2667152872*c_0110_2, c_0011_0 - 1, c_0011_3 + 209497311/1333576436*c_0110_2^16 - 212024831/666788218*c_0110_2^14 + 878564765/1333576436*c_0110_2^12 - 1844225957/1333576436*c_0110_2^10 + 33355873/333394109*c_0110_2^8 + 340429613/333394109*c_0110_2^6 - 104800753/1333576436*c_0110_2^4 + 514021137/666788218*c_0110_2^2 - 109794003/333394109, c_0011_4 + 163610919/333394109*c_0110_2^17 - 464363875/1333576436*c_0110_2^15 + 504852683/333394109*c_0110_2^13 - 2549458201/1333576436*c_0110_2^11 - 3277073669/1333576436*c_0110_2^9 + 1035746257/666788218*c_0110_2^7 - 101285099/333394109*c_0110_2^5 - 1044981415/1333576436*c_0110_2^3 + 67983612/333394109*c_0110_2, c_0011_6 - 644765193/2667152872*c_0110_2^16 + 161963411/666788218*c_0110_2^14 - 2468651307/2667152872*c_0110_2^12 + 3116481001/2667152872*c_0110_2^10 + 742753257/1333576436*c_0110_2^8 - 424444807/666788218*c_0110_2^6 + 2552306175/2667152872*c_0110_2^4 + 149540728/333394109*c_0110_2^2 - 4865055/333394109, c_0101_0 - 515965761/2667152872*c_0110_2^17 + 428197695/1333576436*c_0110_2^15 - 1806287835/2667152872*c_0110_2^13 + 3807316343/2667152872*c_0110_2^11 + 178989231/333394109*c_0110_2^9 - 434029921/333394109*c_0110_2^7 + 980875839/2667152872*c_0110_2^5 - 1887971447/1333576436*c_0110_2^3 - 44492423/333394109*c_0110_2, c_0101_1 - 445252887/2667152872*c_0110_2^16 + 156442712/333394109*c_0110_2^14 - 2042885933/2667152872*c_0110_2^12 + 4944639331/2667152872*c_0110_2^10 - 766190343/1333576436*c_0110_2^8 - 1326373591/666788218*c_0110_2^6 + 3383056361/2667152872*c_0110_2^4 - 427713527/666788218*c_0110_2^2 + 72128805/333394109, c_0110_2^18 - 11/9*c_0110_2^16 + 35/9*c_0110_2^14 - 6*c_0110_2^12 - 5/3*c_0110_2^10 + 10/3*c_0110_2^8 - 35/9*c_0110_2^6 + 25/9*c_0110_2^4 - 4/9*c_0110_2^2 + 16/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB