Magma V2.19-8 Tue Aug 20 2013 16:18:58 on localhost [Seed = 2378961121] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3120 geometric_solution 6.27612955 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.182753286128 1.633938311824 0 1 1 5 0132 1230 3012 0132 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 -1 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 0.759044013447 0.727303170929 5 0 4 6 3201 0132 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 0.348434013281 0.299247161698 3 3 5 0 1302 2031 3201 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 -1 0 1 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 0.152755263588 0.413142090045 2 6 0 6 2031 2103 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.436897988487 0.805591328959 3 6 1 2 2310 0321 0132 2310 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.182753286128 1.633938311824 4 4 2 5 3012 2103 0132 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 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 0.582884369874 0.833892588830 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_1'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : 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_0011_3']), '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_3'], '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' : d['c_0101_1'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_6'], '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_0101_6'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_6']})} 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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 791357333874265/3162313599536*c_0101_6^13 - 471858659474525/1581156799768*c_0101_6^12 - 430100098518341/6324627199072*c_0101_6^11 - 1146084732971343/3162313599536*c_0101_6^10 - 14589051667964749/6324627199072*c_0101_6^9 - 17765836788963253/6324627199072*c_0101_6^8 - 3021821932516589/486509784544*c_0101_6^7 - 987111383692299/137491895632*c_0101_6^6 - 14574244901393075/3162313599536*c_0101_6^5 - 7689544859082899/6324627199072*c_0101_6^4 + 2187050723432051/1581156799768*c_0101_6^3 + 15036941250201761/6324627199072*c_0101_6^2 + 39526106596011/225879542824*c_0101_6 - 4180048116133105/6324627199072, c_0011_0 - 1, c_0011_3 - 951485208/2171918681*c_0101_6^13 + 1792972326/2171918681*c_0101_6^12 - 634180278/2171918681*c_0101_6^11 + 1484333335/2171918681*c_0101_6^10 + 7725336233/2171918681*c_0101_6^9 + 4707656420/2171918681*c_0101_6^8 + 16707415896/2171918681*c_0101_6^7 + 484084634/94431247*c_0101_6^6 - 1540180186/2171918681*c_0101_6^5 - 9527062546/2171918681*c_0101_6^4 - 11920840290/2171918681*c_0101_6^3 - 10610963827/2171918681*c_0101_6^2 + 3408410745/2171918681*c_0101_6 + 2490640068/2171918681, c_0011_5 - 1261448668/2171918681*c_0101_6^13 + 1619852776/2171918681*c_0101_6^12 + 163391432/2171918681*c_0101_6^11 + 1484268634/2171918681*c_0101_6^10 + 11751226059/2171918681*c_0101_6^9 + 13826856519/2171918681*c_0101_6^8 + 30505755700/2171918681*c_0101_6^7 + 1606299536/94431247*c_0101_6^6 + 25703764937/2171918681*c_0101_6^5 + 12957548362/2171918681*c_0101_6^4 + 3057624583/2171918681*c_0101_6^3 - 7459977597/2171918681*c_0101_6^2 - 1255285799/2171918681*c_0101_6 + 420207144/2171918681, c_0011_6 + c_0101_6, c_0101_0 - 1646335324/2171918681*c_0101_6^13 + 2488132736/2171918681*c_0101_6^12 - 556296366/2171918681*c_0101_6^11 + 3375199070/2171918681*c_0101_6^10 + 13232780770/2171918681*c_0101_6^9 + 14531609215/2171918681*c_0101_6^8 + 37938052219/2171918681*c_0101_6^7 + 1418610387/94431247*c_0101_6^6 + 20690153900/2171918681*c_0101_6^5 - 2728912891/2171918681*c_0101_6^4 - 14046784188/2171918681*c_0101_6^3 - 13728844941/2171918681*c_0101_6^2 + 2468684419/2171918681*c_0101_6 + 2585657812/2171918681, c_0101_1 - 511009568/2171918681*c_0101_6^13 + 1093833398/2171918681*c_0101_6^12 - 672674088/2171918681*c_0101_6^11 + 1193821655/2171918681*c_0101_6^10 + 3421914508/2171918681*c_0101_6^9 + 1867927858/2171918681*c_0101_6^8 + 9076104215/2171918681*c_0101_6^7 + 127912998/94431247*c_0101_6^6 + 21496313/2171918681*c_0101_6^5 - 3863567932/2171918681*c_0101_6^4 - 3133896802/2171918681*c_0101_6^3 + 964070732/2171918681*c_0101_6^2 + 5549609782/2171918681*c_0101_6 + 1610900/2171918681, c_0101_6^14 - c_0101_6^13 - 1/2*c_0101_6^12 - 3/2*c_0101_6^11 - 19/2*c_0101_6^10 - 13*c_0101_6^9 - 27*c_0101_6^8 - 67/2*c_0101_6^7 - 24*c_0101_6^6 - 17/2*c_0101_6^5 + 9/2*c_0101_6^4 + 21/2*c_0101_6^3 + 5/2*c_0101_6^2 - 5/2*c_0101_6 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB