Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 1326371689] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s128 geometric_solution 4.13840839 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 1 0132 0132 0132 0213 0 0 0 0 0 -1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265002767731 0.556548796596 0 2 3 0 0132 3201 2310 0213 0 0 0 0 0 0 1 -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 0 1 -1 0 1 0 0 -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 0.265002767731 0.556548796596 4 0 1 4 0132 0132 2310 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 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 -0.386529130074 1.013917682973 5 1 5 0 0132 3201 1023 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.158975738140 0.512862627336 2 2 4 4 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.206497802398 0.356869682414 3 5 3 5 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596215877981 0.245131474607 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : d['c_0011_3'], '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_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_3']})} 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_3, c_0101_0, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 20414031/774457*c_0101_4^10 - 113519477/774457*c_0101_4^9 - 194461933/774457*c_0101_4^8 + 268882726/774457*c_0101_4^7 + 214398607/774457*c_0101_4^6 - 454321989/774457*c_0101_4^5 - 114735431/774457*c_0101_4^4 + 304354815/774457*c_0101_4^3 + 8737040/774457*c_0101_4^2 - 51365646/774457*c_0101_4 + 3811004/774457, c_0011_0 - 1, c_0011_3 + 1490607/774457*c_0101_4^10 - 5799687/774457*c_0101_4^9 - 26629224/774457*c_0101_4^8 - 11227860/774457*c_0101_4^7 + 31372785/774457*c_0101_4^6 + 3027134/774457*c_0101_4^5 - 43361991/774457*c_0101_4^4 - 12422622/774457*c_0101_4^3 + 18683507/774457*c_0101_4^2 + 8832978/774457*c_0101_4 + 1360665/774457, c_0101_0 - 1546062/774457*c_0101_4^10 + 8876786/774457*c_0101_4^9 + 12899686/774457*c_0101_4^8 - 21113686/774457*c_0101_4^7 - 12452063/774457*c_0101_4^6 + 32515324/774457*c_0101_4^5 + 5453741/774457*c_0101_4^4 - 20569482/774457*c_0101_4^3 - 1261742/774457*c_0101_4^2 + 3626014/774457*c_0101_4 + 735224/774457, c_0101_2 + 2150217/774457*c_0101_4^10 - 10232547/774457*c_0101_4^9 - 29115144/774457*c_0101_4^8 + 7026204/774457*c_0101_4^7 + 33833012/774457*c_0101_4^6 - 22493493/774457*c_0101_4^5 - 36272334/774457*c_0101_4^4 + 7752389/774457*c_0101_4^3 + 13027211/774457*c_0101_4^2 + 3845010/774457*c_0101_4 + 1271326/774457, c_0101_3 - 2423808/774457*c_0101_4^10 + 11297055/774457*c_0101_4^9 + 33892678/774457*c_0101_4^8 - 4257759/774457*c_0101_4^7 - 39254104/774457*c_0101_4^6 + 20693476/774457*c_0101_4^5 + 44887475/774457*c_0101_4^4 - 3237871/774457*c_0101_4^3 - 17001795/774457*c_0101_4^2 - 6112251/774457*c_0101_4 - 1265686/774457, c_0101_4^11 - 16/3*c_0101_4^10 - 11*c_0101_4^9 + 12*c_0101_4^8 + 49/3*c_0101_4^7 - 62/3*c_0101_4^6 - 14*c_0101_4^5 + 16*c_0101_4^4 + 22/3*c_0101_4^3 - 10/3*c_0101_4^2 - 5/3*c_0101_4 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB