Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 593673988] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s086 geometric_solution 3.83904072 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 0213 0132 0132 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 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 0.983253639516 1.658078022418 0 3 0 2 0132 1302 0213 2031 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 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 0.735400733323 0.446198428556 4 1 4 0 0132 1302 1023 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 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 0.504736818048 0.579620091777 3 3 0 1 1302 2031 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 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 -0.363263200382 0.899955154822 2 5 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659709851549 0.110783509544 5 4 5 4 2031 0132 1302 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 0.626427166797 0.036917284275 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : d['c_0110_3'], 'c_1001_3' : negation(d['c_0110_3']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0110_3'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0110_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_2, c_0101_0, c_0101_2, c_0110_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 292895448853/5426543440*c_0110_5^9 - 2526038247123/5426543440*c_0110_5^8 + 22638618563/339158965*c_0110_5^7 + 942968349677/339158965*c_0110_5^6 + 8591202235339/2713271720*c_0110_5^5 - 65868501650083/5426543440*c_0110_5^4 + 28584135149023/5426543440*c_0110_5^3 + 6828507388369/2713271720*c_0110_5^2 - 11713460234403/5426543440*c_0110_5 - 805506039841/1356635860, c_0011_0 - 1, c_0011_2 - 70352723/135663586*c_0110_5^9 - 609568389/135663586*c_0110_5^8 + 31390296/67831793*c_0110_5^7 + 1814511360/67831793*c_0110_5^6 + 2140777269/67831793*c_0110_5^5 - 15625922931/135663586*c_0110_5^4 + 6252234153/135663586*c_0110_5^3 + 1730446487/67831793*c_0110_5^2 - 2838166309/135663586*c_0110_5 - 427934775/67831793, c_0101_0 - 22979067/67831793*c_0110_5^9 - 198937007/67831793*c_0110_5^8 + 24494568/67831793*c_0110_5^7 + 1209029611/67831793*c_0110_5^6 + 1403142753/67831793*c_0110_5^5 - 5233578605/67831793*c_0110_5^4 + 1852117095/67831793*c_0110_5^3 + 1547012643/67831793*c_0110_5^2 - 959414632/67831793*c_0110_5 - 313831580/67831793, c_0101_2 + 115903037/135663586*c_0110_5^9 + 990902333/135663586*c_0110_5^8 - 109773607/67831793*c_0110_5^7 - 2986716500/67831793*c_0110_5^6 - 3188387483/67831793*c_0110_5^5 + 26617571847/135663586*c_0110_5^4 - 13075708383/135663586*c_0110_5^3 - 2280912366/67831793*c_0110_5^2 + 4741982983/135663586*c_0110_5 + 528638913/67831793, c_0110_3 + 251242311/135663586*c_0110_5^9 + 2165788495/135663586*c_0110_5^8 - 159122491/67831793*c_0110_5^7 - 6465129540/67831793*c_0110_5^6 - 7345226601/67831793*c_0110_5^5 + 56501223069/135663586*c_0110_5^4 - 24791135515/135663586*c_0110_5^3 - 5638216121/67831793*c_0110_5^2 + 9926676357/135663586*c_0110_5 + 1304614523/67831793, c_0110_5^10 + 9*c_0110_5^9 + 2*c_0110_5^8 - 52*c_0110_5^7 - 78*c_0110_5^6 + 203*c_0110_5^5 - 13*c_0110_5^4 - 84*c_0110_5^3 + 23*c_0110_5^2 + 26*c_0110_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB