Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 206409828] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s835 geometric_solution 5.41268490 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 1 0132 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727853728013 1.162220170946 0 4 0 5 0132 0132 1230 0132 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 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 0.577868931092 0.431775116434 5 0 2 2 3012 0132 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 -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 1.194538016333 1.309145547998 5 5 4 0 0132 2103 3120 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 -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 0.470041264269 0.389456383899 4 1 3 4 3201 0132 3120 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362564492454 0.667214341109 3 3 1 2 0132 2103 0132 1230 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 0 0 0 0.888943753379 0.747354134593 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], '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_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 3748209427/27576704*c_0101_4^14 - 47057077373/27576704*c_0101_4^13 + 41064174819/27576704*c_0101_4^12 + 6794038153/1723544*c_0101_4^11 - 11453238969/13788352*c_0101_4^10 - 47609994139/6894176*c_0101_4^9 - 70906483129/27576704*c_0101_4^8 + 127042096067/13788352*c_0101_4^7 + 50073245303/13788352*c_0101_4^6 - 202666151791/27576704*c_0101_4^5 - 4070250765/1723544*c_0101_4^4 + 44520027901/13788352*c_0101_4^3 + 8492094621/6894176*c_0101_4^2 - 15167145545/27576704*c_0101_4 - 6935414865/27576704, c_0011_0 - 1, c_0011_3 + c_0101_4^14 - 12*c_0101_4^13 + 4*c_0101_4^12 + 35*c_0101_4^11 + 10*c_0101_4^10 - 54*c_0101_4^9 - 47*c_0101_4^8 + 57*c_0101_4^7 + 64*c_0101_4^6 - 39*c_0101_4^5 - 47*c_0101_4^4 + 14*c_0101_4^3 + 22*c_0101_4^2 - 4, c_0101_0 + 13822912/215443*c_0101_4^14 - 173181424/215443*c_0101_4^13 + 146847723/215443*c_0101_4^12 + 406043593/215443*c_0101_4^11 - 77037987/215443*c_0101_4^10 - 704646936/215443*c_0101_4^9 - 275743303/215443*c_0101_4^8 + 933143674/215443*c_0101_4^7 + 388818472/215443*c_0101_4^6 - 745180135/215443*c_0101_4^5 - 252803300/215443*c_0101_4^4 + 327388838/215443*c_0101_4^3 + 129130797/215443*c_0101_4^2 - 54502579/215443*c_0101_4 - 25847596/215443, c_0101_1 + 20016845/215443*c_0101_4^14 - 250749579/215443*c_0101_4^13 + 212227739/215443*c_0101_4^12 + 588343006/215443*c_0101_4^11 - 109470438/215443*c_0101_4^10 - 1022535014/215443*c_0101_4^9 - 401709472/215443*c_0101_4^8 + 1351403897/215443*c_0101_4^7 + 567986853/215443*c_0101_4^6 - 1078908534/215443*c_0101_4^5 - 371627164/215443*c_0101_4^4 + 475757970/215443*c_0101_4^3 + 189283967/215443*c_0101_4^2 - 79772535/215443*c_0101_4 - 37870764/215443, c_0101_2 - 18541116/215443*c_0101_4^14 + 232437989/215443*c_0101_4^13 - 198813481/215443*c_0101_4^12 - 542551030/215443*c_0101_4^11 + 105777321/215443*c_0101_4^10 + 944798636/215443*c_0101_4^9 + 364952386/215443*c_0101_4^8 - 1253208379/215443*c_0101_4^7 - 515015903/215443*c_0101_4^6 + 1000001152/215443*c_0101_4^5 + 335788807/215443*c_0101_4^4 - 439696377/215443*c_0101_4^3 - 172717340/215443*c_0101_4^2 + 73839149/215443*c_0101_4 + 34849450/215443, c_0101_4^15 - 12*c_0101_4^14 + 4*c_0101_4^13 + 35*c_0101_4^12 + 10*c_0101_4^11 - 54*c_0101_4^10 - 47*c_0101_4^9 + 57*c_0101_4^8 + 64*c_0101_4^7 - 39*c_0101_4^6 - 47*c_0101_4^5 + 14*c_0101_4^4 + 22*c_0101_4^3 + c_0101_4^2 - 4*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB