Magma V2.19-8 Tue Aug 20 2013 16:19:10 on localhost [Seed = 307466091] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3302 geometric_solution 6.43039044 oriented_manifold CS_known 0.0000000000000002 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 1 0 0 -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 0.201239263007 1.146251835624 0 5 6 5 0132 0132 0132 2103 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 -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 0.316536763770 0.525225122477 2 0 4 2 3201 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.056962644453 0.919892078838 6 4 6 0 1230 2310 0321 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118627775162 0.684500755151 2 5 0 3 2310 1023 0132 3201 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 -1 0 1 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 0.201239263007 1.146251835624 4 1 6 1 1023 0132 3201 2103 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 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 0.316536763770 0.525225122477 5 3 3 1 2310 3012 0321 0132 0 0 0 0 0 0 -1 1 0 0 0 0 1 -1 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 -0.182386452319 0.992384042354 ==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' : negation(d['c_0110_5']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_6, c_0101_1, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 20/9*c_0110_5^3 + 92/9*c_0110_5^2 + 26/9*c_0110_5 - 95/9, c_0011_0 - 1, c_0011_3 - c_0110_5^3 - 5*c_0110_5^2 - 5*c_0110_5 - 1, c_0011_6 + c_0110_5, c_0101_1 - c_0110_5^3 - 5*c_0110_5^2 - 5*c_0110_5 - 1, c_0101_2 - c_0110_5 - 1, c_0101_3 - c_0110_5 - 1, c_0110_5^4 + 6*c_0110_5^3 + 9*c_0110_5^2 + 4*c_0110_5 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_1, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 12241322/2256277*c_0110_5^13 - 2543674/2256277*c_0110_5^12 - 15927295/2256277*c_0110_5^11 - 90754746/2256277*c_0110_5^10 + 100097408/2256277*c_0110_5^9 - 89955709/2256277*c_0110_5^8 + 61535647/2256277*c_0110_5^7 + 200708269/2256277*c_0110_5^6 - 107247353/2256277*c_0110_5^5 + 133123591/2256277*c_0110_5^4 - 27075352/2256277*c_0110_5^3 + 30895988/2256277*c_0110_5^2 + 2229474/2256277*c_0110_5 + 20773854/2256277, c_0011_0 - 1, c_0011_3 - 2110994/6768831*c_0110_5^13 - 1207388/6768831*c_0110_5^12 - 1919983/6768831*c_0110_5^11 - 5068189/2256277*c_0110_5^10 + 12916163/6768831*c_0110_5^9 - 388276/2256277*c_0110_5^8 + 5067187/6768831*c_0110_5^7 + 11205576/2256277*c_0110_5^6 - 2083105/2256277*c_0110_5^5 - 3581323/6768831*c_0110_5^4 - 3528598/6768831*c_0110_5^3 + 2021692/2256277*c_0110_5^2 + 3280649/6768831*c_0110_5 + 3964079/6768831, c_0011_6 + c_0110_5, c_0101_1 + 3740369/6768831*c_0110_5^13 + 2388404/6768831*c_0110_5^12 + 3758674/6768831*c_0110_5^11 + 9336671/2256277*c_0110_5^10 - 21156401/6768831*c_0110_5^9 + 589279/2256277*c_0110_5^8 - 6454108/6768831*c_0110_5^7 - 23250281/2256277*c_0110_5^6 + 2102681/2256277*c_0110_5^5 + 3849613/6768831*c_0110_5^4 + 4576621/6768831*c_0110_5^3 - 101505/2256277*c_0110_5^2 + 3229003/6768831*c_0110_5 - 7068482/6768831, c_0101_2 - 1384664/6768831*c_0110_5^13 - 1312910/6768831*c_0110_5^12 - 3086098/6768831*c_0110_5^11 - 3960999/2256277*c_0110_5^10 + 2985410/6768831*c_0110_5^9 - 2926923/2256277*c_0110_5^8 + 8515033/6768831*c_0110_5^7 + 8682147/2256277*c_0110_5^6 + 3477548/2256277*c_0110_5^5 + 20320004/6768831*c_0110_5^4 + 3559355/6768831*c_0110_5^3 + 64566/2256277*c_0110_5^2 - 5990458/6768831*c_0110_5 + 5871074/6768831, c_0101_3 + 3260717/6768831*c_0110_5^13 + 823739/6768831*c_0110_5^12 + 4141816/6768831*c_0110_5^11 + 8212516/2256277*c_0110_5^10 - 25759112/6768831*c_0110_5^9 + 7268825/2256277*c_0110_5^8 - 11856823/6768831*c_0110_5^7 - 19564837/2256277*c_0110_5^6 + 8802156/2256277*c_0110_5^5 - 28416785/6768831*c_0110_5^4 - 4598243/6768831*c_0110_5^3 - 70718/2256277*c_0110_5^2 + 6533077/6768831*c_0110_5 - 8021123/6768831, c_0110_5^14 + c_0110_5^12 + 7*c_0110_5^11 - 10*c_0110_5^10 + 7*c_0110_5^9 - 5*c_0110_5^8 - 16*c_0110_5^7 + 12*c_0110_5^6 - 7*c_0110_5^5 + 3*c_0110_5^4 - 2*c_0110_5^3 + 2*c_0110_5^2 - 3*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB