Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 3187417499] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s101 geometric_solution 3.95156787 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.410982872466 0.131797461178 0 2 2 0 3201 0132 1023 0132 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 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 1.159694912866 0.148071431454 3 1 1 3 0132 0132 1023 1023 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 1 0 -1 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 1.103257525318 0.412207881805 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 1 -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 0 -1 0 0 -1 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 0.510764520321 0.310435978700 5 3 5 5 2103 0132 3201 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516443217613 0.898897421428 4 4 4 3 2310 1302 2103 0132 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 0 0 0 0 0 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 0.516443217613 0.898897421428 ==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' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], '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' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), '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' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_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' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 356211361820511/6352656470671*c_0101_3^14 - 2400278313019476/6352656470671*c_0101_3^13 - 216066519354504/907522352953*c_0101_3^12 + 11771835762695103/6352656470671*c_0101_3^11 + 33946962864462595/6352656470671*c_0101_3^10 - 51874272837727815/6352656470671*c_0101_3^9 - 13736942443889949/907522352953*c_0101_3^8 + 100257404506939024/6352656470671*c_0101_3^7 + 143658293880586988/6352656470671*c_0101_3^6 - 56644244426879054/6352656470671*c_0101_3^5 - 117367807666042604/6352656470671*c_0101_3^4 - 33371254709484211/6352656470671*c_0101_3^3 + 1868900560689731/907522352953*c_0101_3^2 + 9591873453781572/6352656470671*c_0101_3 + 1544736016929139/6352656470671, c_0011_0 - 1, c_0011_1 + 2357297403935/907522352953*c_0101_3^14 + 15337506887260/907522352953*c_0101_3^13 + 6633764857682/907522352953*c_0101_3^12 - 78339281609138/907522352953*c_0101_3^11 - 206449772408554/907522352953*c_0101_3^10 + 385283746568110/907522352953*c_0101_3^9 + 533812312291801/907522352953*c_0101_3^8 - 752154642848023/907522352953*c_0101_3^7 - 753466123776180/907522352953*c_0101_3^6 + 485513180685077/907522352953*c_0101_3^5 + 638710804953401/907522352953*c_0101_3^4 + 114219234914147/907522352953*c_0101_3^3 - 85864611819560/907522352953*c_0101_3^2 - 43178069198248/907522352953*c_0101_3 - 5354510283144/907522352953, c_0011_5 - 898792391532/907522352953*c_0101_3^14 - 5638973686076/907522352953*c_0101_3^13 - 1220403282415/907522352953*c_0101_3^12 + 30135371481977/907522352953*c_0101_3^11 + 71691574908366/907522352953*c_0101_3^10 - 163399040488330/907522352953*c_0101_3^9 - 165275685855772/907522352953*c_0101_3^8 + 324689604163299/907522352953*c_0101_3^7 + 209203233795450/907522352953*c_0101_3^6 - 229426397096648/907522352953*c_0101_3^5 - 187815587113499/907522352953*c_0101_3^4 - 4844009422885/907522352953*c_0101_3^3 + 32041096475056/907522352953*c_0101_3^2 + 10782479626410/907522352953*c_0101_3 + 757792857338/907522352953, c_0101_0 + 836324705556/907522352953*c_0101_3^14 + 5369473563822/907522352953*c_0101_3^13 + 2078074900101/907522352953*c_0101_3^12 - 26861847952292/907522352953*c_0101_3^11 - 71024756154264/907522352953*c_0101_3^10 + 136716037114288/907522352953*c_0101_3^9 + 164977120967615/907522352953*c_0101_3^8 - 243244350154203/907522352953*c_0101_3^7 - 226326491573672/907522352953*c_0101_3^6 + 117982928435052/907522352953*c_0101_3^5 + 202737941931804/907522352953*c_0101_3^4 + 74280805954228/907522352953*c_0101_3^3 - 20532531902755/907522352953*c_0101_3^2 - 19651280243720/907522352953*c_0101_3 - 3754586746792/907522352953, c_0101_2 - 252800479893/907522352953*c_0101_3^14 - 1930795895820/907522352953*c_0101_3^13 - 2285107336379/907522352953*c_0101_3^12 + 9253776785040/907522352953*c_0101_3^11 + 31219831382249/907522352953*c_0101_3^10 - 25637862282948/907522352953*c_0101_3^9 - 122429313443130/907522352953*c_0101_3^8 + 76690841901005/907522352953*c_0101_3^7 + 194233625517726/907522352953*c_0101_3^6 - 70335963520200/907522352953*c_0101_3^5 - 142423266658964/907522352953*c_0101_3^4 - 15805814240749/907522352953*c_0101_3^3 + 22157949110011/907522352953*c_0101_3^2 + 7944031259234/907522352953*c_0101_3 + 174268631675/907522352953, c_0101_3^15 + 7*c_0101_3^14 + 6*c_0101_3^13 - 32*c_0101_3^12 - 104*c_0101_3^11 + 121*c_0101_3^10 + 309*c_0101_3^9 - 212*c_0101_3^8 - 480*c_0101_3^7 + 56*c_0101_3^6 + 376*c_0101_3^5 + 178*c_0101_3^4 - 16*c_0101_3^3 - 37*c_0101_3^2 - 11*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB