Magma V2.19-8 Tue Aug 20 2013 16:17:18 on localhost [Seed = 2362249305] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1537 geometric_solution 5.33110654 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 -1 0 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 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 -0.177454894972 0.130244724931 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 -1 1 0 1 0 0 -1 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 -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 2.823319477308 2.595202725673 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 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 1 0 -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 0.174873187836 0.479740510726 2 5 4 6 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266716028751 0.661328098250 3 6 2 5 2031 2310 0132 2310 0 0 0 0 0 -1 0 1 0 0 1 -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 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 0.266716028751 0.661328098250 4 3 5 5 3201 0132 1230 3012 0 0 0 0 0 0 -1 1 0 0 -1 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.475476753244 1.300566609696 6 6 3 4 1230 3012 0132 3201 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 -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 0.513198436110 0.888266156777 ==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' : negation(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' : negation(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_0011_4']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} 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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/2, c_0011_0 - 1, c_0011_2 + 1, c_0011_4 - 1, c_0011_6 - 1, c_0101_0 + c_0101_5, c_0101_1 - 1, c_0101_5^2 - 2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 118454031368/1272942443*c_0101_5^18 - 1556285377553/1272942443*c_0101_5^16 + 6019577209103/1272942443*c_0101_5^14 - 4150245995637/1272942443*c_0101_5^12 - 4279989095992/1272942443*c_0101_5^10 - 20608100305890/1272942443*c_0101_5^8 - 20727696278898/1272942443*c_0101_5^6 + 4623613634255/1272942443*c_0101_5^4 + 7728596222712/1272942443*c_0101_5^2 + 793721634480/1272942443, c_0011_0 - 1, c_0011_2 + 7578820/43894567*c_0101_5^18 - 100586532/43894567*c_0101_5^16 + 399128877/43894567*c_0101_5^14 - 324748390/43894567*c_0101_5^12 - 213931239/43894567*c_0101_5^10 - 1286120800/43894567*c_0101_5^8 - 1188225520/43894567*c_0101_5^6 + 438021195/43894567*c_0101_5^4 + 378666866/43894567*c_0101_5^2 + 13711545/43894567, c_0011_4 + 11446377/43894567*c_0101_5^18 - 152204402/43894567*c_0101_5^16 + 606319509/43894567*c_0101_5^14 - 505972449/43894567*c_0101_5^12 - 285483371/43894567*c_0101_5^10 - 2021549429/43894567*c_0101_5^8 - 1675171592/43894567*c_0101_5^6 + 576243479/43894567*c_0101_5^4 + 586752728/43894567*c_0101_5^2 + 53103446/43894567, c_0011_6 - 4343468/43894567*c_0101_5^18 + 56995254/43894567*c_0101_5^16 - 219361802/43894567*c_0101_5^14 + 146631592/43894567*c_0101_5^12 + 150112967/43894567*c_0101_5^10 + 795683711/43894567*c_0101_5^8 + 766465983/43894567*c_0101_5^6 - 71484461/43894567*c_0101_5^4 - 286667985/43894567*c_0101_5^2 - 45777629/43894567, c_0101_0 - 30985260/43894567*c_0101_5^19 + 405015262/43894567*c_0101_5^17 - 1545482160/43894567*c_0101_5^15 + 956144942/43894567*c_0101_5^13 + 1290090612/43894567*c_0101_5^11 + 5357622687/43894567*c_0101_5^9 + 5789937577/43894567*c_0101_5^7 - 1132126621/43894567*c_0101_5^5 - 2207286672/43894567*c_0101_5^3 - 241400868/43894567*c_0101_5, c_0101_1 - 2851719/43894567*c_0101_5^18 + 37643590/43894567*c_0101_5^16 - 146834229/43894567*c_0101_5^14 + 103388446/43894567*c_0101_5^12 + 121361361/43894567*c_0101_5^10 + 453614388/43894567*c_0101_5^8 + 474020728/43894567*c_0101_5^6 - 173035544/43894567*c_0101_5^4 - 144438544/43894567*c_0101_5^2 + 22664015/43894567, c_0101_5^20 - 13*c_0101_5^18 + 49*c_0101_5^16 - 28*c_0101_5^14 - 41*c_0101_5^12 - 179*c_0101_5^10 - 199*c_0101_5^8 + 15*c_0101_5^6 + 71*c_0101_5^4 + 16*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB