Magma V2.19-8 Tue Aug 20 2013 16:14:36 on localhost [Seed = 762097962] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s593 geometric_solution 5.07067487 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 1 0 2 2310 0132 3201 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 1 -1 -1 0 1 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 0.465988658446 0.565433487335 3 0 4 2 0132 0132 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 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 -0.145411081732 1.664025211279 1 4 0 5 3012 3120 0132 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 -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 1.027434929318 0.716598387732 1 5 3 3 0132 2310 1230 3012 0 0 0 0 0 1 0 -1 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 0.239273540181 0.623245757642 5 2 5 1 1023 3120 1302 0132 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.939289172566 0.837845598815 4 4 2 3 2031 1023 0132 3201 0 0 0 0 0 0 -1 1 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 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 0.664720905723 1.155973237871 ==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_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_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_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_2'])})} 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 104345309/19021808*c_0101_5^11 + 179008389/19021808*c_0101_5^10 + 253651231/1463216*c_0101_5^9 + 5939610439/9510904*c_0101_5^8 + 23860541943/19021808*c_0101_5^7 + 2050967389/1463216*c_0101_5^6 + 12591911453/19021808*c_0101_5^5 - 1650026655/4755452*c_0101_5^4 - 15846171911/19021808*c_0101_5^3 - 2784507295/4755452*c_0101_5^2 - 1942558773/9510904*c_0101_5 - 62546109/4755452, c_0011_0 - 1, c_0011_2 + 347031/1188863*c_0101_5^11 - 438168/1188863*c_0101_5^10 - 867076/91451*c_0101_5^9 - 44372460/1188863*c_0101_5^8 - 96258486/1188863*c_0101_5^7 - 9356634/91451*c_0101_5^6 - 76896156/1188863*c_0101_5^5 + 7134578/1188863*c_0101_5^4 + 63591717/1188863*c_0101_5^3 + 58348539/1188863*c_0101_5^2 + 26940583/1188863*c_0101_5 + 5589335/1188863, c_0011_4 + 242349/1188863*c_0101_5^11 - 1659913/9510904*c_0101_5^10 - 4999645/731608*c_0101_5^9 - 271293387/9510904*c_0101_5^8 - 75828432/1188863*c_0101_5^7 - 61289361/731608*c_0101_5^6 - 526305877/9510904*c_0101_5^5 + 26792023/9510904*c_0101_5^4 + 202286505/4755452*c_0101_5^3 + 397891833/9510904*c_0101_5^2 + 93261667/4755452*c_0101_5 + 19534937/4755452, c_0101_0 + 2272891/4755452*c_0101_5^11 - 9651523/9510904*c_0101_5^10 - 10872955/731608*c_0101_5^9 - 454705371/9510904*c_0101_5^8 - 403960293/4755452*c_0101_5^7 - 55451787/731608*c_0101_5^6 - 115639191/9510904*c_0101_5^5 + 350915403/9510904*c_0101_5^4 + 105595959/2377726*c_0101_5^3 + 221509525/9510904*c_0101_5^2 + 29194193/4755452*c_0101_5 + 6419093/4755452, c_0101_1 + 371789/9510904*c_0101_5^11 + 1002083/4755452*c_0101_5^10 - 165303/91451*c_0101_5^9 - 124229013/9510904*c_0101_5^8 - 356951407/9510904*c_0101_5^7 - 22930541/365804*c_0101_5^6 - 260475563/4755452*c_0101_5^5 - 93329273/9510904*c_0101_5^4 + 278566057/9510904*c_0101_5^3 + 334435945/9510904*c_0101_5^2 + 20899738/1188863*c_0101_5 + 16560551/4755452, c_0101_5^12 - c_0101_5^11 - 33*c_0101_5^10 - 136*c_0101_5^9 - 305*c_0101_5^8 - 405*c_0101_5^7 - 283*c_0101_5^6 - 14*c_0101_5^5 + 185*c_0101_5^4 + 200*c_0101_5^3 + 108*c_0101_5^2 + 32*c_0101_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB