Magma V2.19-8 Tue Aug 20 2013 16:17:37 on localhost [Seed = 3734979128] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1856 geometric_solution 5.49502234 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 0 1 -1 -1 0 1 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719096254203 0.481605452345 3 2 4 0 0132 3012 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 1 -1 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 1.360864364766 0.804316187791 1 3 0 5 1230 3201 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 0 1 -1 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 0.684002950284 0.257177443159 1 4 2 6 0132 0132 2310 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 0.912856345813 0.996434859322 6 3 5 1 0132 0132 2031 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 1 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394154844372 0.162932856625 6 6 2 4 1302 0321 0132 1302 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 1 -1 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 0.778670935307 0.494878040966 4 5 3 5 0132 2031 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.306804082034 1.022157232598 ==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' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], '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_1'], 'c_0011_6' : 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_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 36753/419*c_0110_5^11 - 368736/419*c_0110_5^10 - 1665983/419*c_0110_5^9 - 4501899/419*c_0110_5^8 - 7793379/419*c_0110_5^7 - 8124494/419*c_0110_5^6 - 2956612/419*c_0110_5^5 + 5298117/419*c_0110_5^4 + 10315499/419*c_0110_5^3 + 9053741/419*c_0110_5^2 + 4421064/419*c_0110_5 + 1069150/419, c_0011_0 - 1, c_0011_1 + 371/838*c_0110_5^11 + 3031/838*c_0110_5^10 + 5226/419*c_0110_5^9 + 19801/838*c_0110_5^8 + 19093/838*c_0110_5^7 - 533/838*c_0110_5^6 - 11593/419*c_0110_5^5 - 27123/838*c_0110_5^4 - 11425/838*c_0110_5^3 + 217/419*c_0110_5^2 + 686/419*c_0110_5 - 307/838, c_0011_2 - 231/838*c_0110_5^11 - 2409/838*c_0110_5^10 - 5594/419*c_0110_5^9 - 30591/838*c_0110_5^8 - 52539/838*c_0110_5^7 - 51719/838*c_0110_5^6 - 5328/419*c_0110_5^5 + 47467/838*c_0110_5^4 + 73205/838*c_0110_5^3 + 25163/419*c_0110_5^2 + 7858/419*c_0110_5 - 299/838, c_0011_5 - 469/838*c_0110_5^11 - 4053/838*c_0110_5^10 - 7650/419*c_0110_5^9 - 33617/838*c_0110_5^8 - 44201/838*c_0110_5^7 - 26411/838*c_0110_5^6 + 7390/419*c_0110_5^5 + 49419/838*c_0110_5^4 + 49465/838*c_0110_5^3 + 13442/419*c_0110_5^2 + 3054/419*c_0110_5 - 23/838, c_0101_0 - 669/838*c_0110_5^11 - 6019/838*c_0110_5^10 - 11853/419*c_0110_5^9 - 54117/838*c_0110_5^8 - 73517/838*c_0110_5^7 - 44903/838*c_0110_5^6 + 13486/419*c_0110_5^5 + 86199/838*c_0110_5^4 + 81401/838*c_0110_5^3 + 19025/419*c_0110_5^2 + 2700/419*c_0110_5 - 953/838, c_0101_1 - 9/838*c_0110_5^11 + 385/838*c_0110_5^10 + 1975/419*c_0110_5^9 + 16047/838*c_0110_5^8 + 36131/838*c_0110_5^7 + 46121/838*c_0110_5^6 + 10632/419*c_0110_5^5 - 28471/838*c_0110_5^4 - 58681/838*c_0110_5^3 - 21983/419*c_0110_5^2 - 6942/419*c_0110_5 + 859/838, c_0110_5^12 + 10*c_0110_5^11 + 45*c_0110_5^10 + 121*c_0110_5^9 + 208*c_0110_5^8 + 214*c_0110_5^7 + 73*c_0110_5^6 - 147*c_0110_5^5 - 276*c_0110_5^4 - 237*c_0110_5^3 - 112*c_0110_5^2 - 25*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB