Magma V2.19-8 Tue Aug 20 2013 16:14:43 on localhost [Seed = 3953817591] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s697 geometric_solution 5.20131347 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510750086609 0.403138950607 3 4 2 0 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.593498436857 0.627713362246 4 3 0 1 2310 3201 0132 1302 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 -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 0.593498436857 0.627713362246 1 5 2 5 0132 0132 2310 1023 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.002018106874 1.213365014072 4 1 2 4 3012 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.204707621879 0.841140635993 5 3 5 3 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579482035615 0.299389023157 ==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' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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_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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 89617726565/1697842272*c_0101_4*c_0101_5^9 + 46641618733/282973712*c_0101_4*c_0101_5^8 + 233447955747/282973712*c_0101_4*c_0101_5^7 + 449906054807/848921136*c_0101_4*c_0101_5^6 - 191928578229/565947424*c_0101_4*c_0101_5^5 - 5494970698817/1697842272*c_0101_4*c_0101_5^4 - 8996299352209/1697842272*c_0101_4*c_0101_5^3 - 2146824232321/848921136*c_0101_4*c_0101_5^2 - 3938412144469/1697842272*c_0101_4*c_0101_5 - 369669491759/1697842272*c_0101_4, c_0011_0 - 1, c_0011_1 + 1609521/17685857*c_0101_4*c_0101_5^9 - 17796945/70743428*c_0101_4*c_0101_5^8 - 107862135/70743428*c_0101_4*c_0101_5^7 - 99780703/70743428*c_0101_4*c_0101_5^6 + 13156807/70743428*c_0101_4*c_0101_5^5 + 205538085/35371714*c_0101_4*c_0101_5^4 + 806697405/70743428*c_0101_4*c_0101_5^3 + 131048115/17685857*c_0101_4*c_0101_5^2 + 100898499/17685857*c_0101_4*c_0101_5 + 66005733/70743428*c_0101_4, c_0101_1 + 55333/822598*c_0101_5^9 - 97350/411299*c_0101_5^8 - 387382/411299*c_0101_5^7 - 138743/411299*c_0101_5^6 + 240535/822598*c_0101_5^5 + 2882459/822598*c_0101_5^4 + 4424501/822598*c_0101_5^3 + 971904/411299*c_0101_5^2 + 3366495/822598*c_0101_5 + 415069/822598, c_0101_2 - 8470324/17685857*c_0101_4*c_0101_5^9 + 107784641/70743428*c_0101_4*c_0101_5^8 + 523512799/70743428*c_0101_4*c_0101_5^7 + 307067667/70743428*c_0101_4*c_0101_5^6 - 233566959/70743428*c_0101_4*c_0101_5^5 - 1022172545/35371714*c_0101_4*c_0101_5^4 - 3284836273/70743428*c_0101_4*c_0101_5^3 - 362756360/17685857*c_0101_4*c_0101_5^2 - 368605343/17685857*c_0101_4*c_0101_5 - 112497845/70743428*c_0101_4, c_0101_4^2 - 1041193/17685857*c_0101_5^9 + 2140944/17685857*c_0101_5^8 + 20119878/17685857*c_0101_5^7 + 25975820/17685857*c_0101_5^6 + 3240744/17685857*c_0101_5^5 - 78454862/17685857*c_0101_5^4 - 178217524/17685857*c_0101_5^3 - 147317922/17685857*c_0101_5^2 - 63471173/17685857*c_0101_5 - 4488808/17685857, c_0101_5^10 - 3*c_0101_5^9 - 16*c_0101_5^8 - 12*c_0101_5^7 + 5*c_0101_5^6 + 62*c_0101_5^5 + 108*c_0101_5^4 + 61*c_0101_5^3 + 51*c_0101_5^2 + 10*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB