Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 3869735641] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s051 geometric_solution 3.59232518 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 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 1 -1 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 0.029435537367 1.935764945873 2 2 3 0 1230 1023 0132 0132 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 -1 1 -1 0 1 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 0.029435537367 1.935764945873 1 1 0 3 1023 3012 0132 3201 0 0 0 0 0 -1 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 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 0.029435537367 1.935764945873 4 2 4 1 0132 2310 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 -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 0.465066856844 0.362577577577 3 5 3 5 0132 0132 1023 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 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 0.755613708199 0.076574693229 5 4 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828044426039 0.037300866873 ==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_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(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_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_1'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_1']), 'c_0110_1' : d['c_0011_1'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_1'])})} 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_0011_3, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 190599/6439*c_0101_5^10 - 963281/6439*c_0101_5^9 - 3718834/6439*c_0101_5^8 + 3991390/6439*c_0101_5^7 + 13310021/6439*c_0101_5^6 - 5773422/6439*c_0101_5^5 - 16729089/6439*c_0101_5^4 + 3671660/6439*c_0101_5^3 + 7221282/6439*c_0101_5^2 - 881299/6439*c_0101_5 - 587848/6439, c_0011_0 - 1, c_0011_1 - 2885/6439*c_0101_5^10 + 12818/6439*c_0101_5^9 + 64485/6439*c_0101_5^8 - 23572/6439*c_0101_5^7 - 218667/6439*c_0101_5^6 - 29463/6439*c_0101_5^5 + 243625/6439*c_0101_5^4 + 58073/6439*c_0101_5^3 - 91245/6439*c_0101_5^2 - 12815/6439*c_0101_5 + 7907/6439, c_0011_3 + 4520/6439*c_0101_5^10 - 20763/6439*c_0101_5^9 - 97515/6439*c_0101_5^8 + 48771/6439*c_0101_5^7 + 333987/6439*c_0101_5^6 + 9178/6439*c_0101_5^5 - 390565/6439*c_0101_5^4 - 53723/6439*c_0101_5^3 + 148011/6439*c_0101_5^2 + 9889/6439*c_0101_5 - 4543/6439, c_0101_1 - 815/6439*c_0101_5^10 + 3409/6439*c_0101_5^9 + 20895/6439*c_0101_5^8 - 12049/6439*c_0101_5^7 - 86725/6439*c_0101_5^6 + 15625/6439*c_0101_5^5 + 110816/6439*c_0101_5^4 - 13156/6439*c_0101_5^3 - 32963/6439*c_0101_5^2 + 6401/6439*c_0101_5 - 3134/6439, c_0101_3 - 941/6439*c_0101_5^10 + 2190/6439*c_0101_5^9 + 31947/6439*c_0101_5^8 + 23308/6439*c_0101_5^7 - 109258/6439*c_0101_5^6 - 80401/6439*c_0101_5^5 + 112629/6439*c_0101_5^4 + 53498/6439*c_0101_5^3 - 27496/6439*c_0101_5^2 + 920/6439*c_0101_5 - 2070/6439, c_0101_5^11 - 5*c_0101_5^10 - 20*c_0101_5^9 + 21*c_0101_5^8 + 75*c_0101_5^7 - 31*c_0101_5^6 - 103*c_0101_5^5 + 20*c_0101_5^4 + 54*c_0101_5^3 - 4*c_0101_5^2 - 8*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB