Magma V2.19-8 Tue Aug 20 2013 16:16:29 on localhost [Seed = 4256981275] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0775 geometric_solution 4.71889635 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 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 1.549771870030 0.162954749606 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 -1 2 0 0 0 0 -2 2 0 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.301017796926 0.321840877062 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 0 0 1 -1 1 -1 0 0 1 -2 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568145446626 0.753833035115 2 5 4 4 0132 0132 1302 2031 0 0 0 0 0 0 1 -1 0 0 0 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 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 0.337757945369 0.369314208175 3 3 2 5 2031 1302 0132 2310 0 0 0 0 0 0 1 -1 -1 0 1 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 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 0.337757945369 0.369314208175 4 3 6 6 3201 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.920571196473 1.309533786715 6 5 6 5 2031 2310 1302 0132 0 0 0 0 0 1 -1 0 1 0 0 -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 1 -1 0 1 0 0 -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 -0.121926592169 0.950690701996 ==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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_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_4, c_0011_6, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 58554750397753/1094108815806*c_0101_5^19 + 817952411089048/547054407903*c_0101_5^17 - 2181757866488483/1094108815806*c_0101_5^15 + 2602591839915967/1094108815806*c_0101_5^13 + 3690811967646562/547054407903*c_0101_5^11 - 3948120768788474/182351469301*c_0101_5^9 - 17578143467887621/1094108815806*c_0101_5^7 + 18265044997520297/547054407903*c_0101_5^5 - 3468951761456542/547054407903*c_0101_5^3 + 156739609986364/547054407903*c_0101_5, c_0011_0 - 1, c_0011_1 - 920689582125/2917623508816*c_0101_5^18 + 25649354988567/2917623508816*c_0101_5^16 - 4035016834203/364702938602*c_0101_5^14 + 38535268282267/2917623508816*c_0101_5^12 + 59487435039777/1458811754408*c_0101_5^10 - 181456175649411/1458811754408*c_0101_5^8 - 76082228805339/729405877204*c_0101_5^6 + 547336610343771/2917623508816*c_0101_5^4 - 68983004204865/2917623508816*c_0101_5^2 + 4202951386377/2917623508816, c_0011_4 - 423342547533/1458811754408*c_0101_5^18 + 1475238680627/182351469301*c_0101_5^16 - 3768178032533/364702938602*c_0101_5^14 + 18139298309927/1458811754408*c_0101_5^12 + 54316655944623/1458811754408*c_0101_5^10 - 167816659631517/1458811754408*c_0101_5^8 - 135784795811743/1458811754408*c_0101_5^6 + 126591580813621/729405877204*c_0101_5^4 - 38721812673967/1458811754408*c_0101_5^2 + 816300033383/364702938602, c_0011_6 - 317726521953/1458811754408*c_0101_5^18 + 8845304882629/1458811754408*c_0101_5^16 - 5488261037325/729405877204*c_0101_5^14 + 13334405970337/1458811754408*c_0101_5^12 + 20556458808829/729405877204*c_0101_5^10 - 30993236501767/364702938602*c_0101_5^8 - 26523681333939/364702938602*c_0101_5^6 + 184715620372141/1458811754408*c_0101_5^4 - 23775786130767/1458811754408*c_0101_5^2 + 2533943203285/1458811754408, c_0101_0 - 83440183417/182351469301*c_0101_5^19 + 9302042217583/729405877204*c_0101_5^17 - 11814608904147/729405877204*c_0101_5^15 + 14254348566873/729405877204*c_0101_5^13 + 10696925494800/182351469301*c_0101_5^11 - 131800802516263/729405877204*c_0101_5^9 - 54066121329829/364702938602*c_0101_5^7 + 198168309397637/729405877204*c_0101_5^5 - 29150288904671/729405877204*c_0101_5^3 + 1817378631923/364702938602*c_0101_5, c_0101_2 + 196844735097/364702938602*c_0101_5^19 - 10960585058331/729405877204*c_0101_5^17 + 13602043640589/729405877204*c_0101_5^15 - 16178966402663/729405877204*c_0101_5^13 - 12796102658636/182351469301*c_0101_5^11 + 154320378790087/729405877204*c_0101_5^9 + 33287536920620/182351469301*c_0101_5^7 - 232486510849073/729405877204*c_0101_5^5 + 23900527667111/729405877204*c_0101_5^3 - 307464888917/364702938602*c_0101_5, c_0101_5^20 - 28*c_0101_5^18 + 39*c_0101_5^16 - 47*c_0101_5^14 - 123*c_0101_5^12 + 412*c_0101_5^10 + 274*c_0101_5^8 - 639*c_0101_5^6 + 160*c_0101_5^4 - 18*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB