Magma V2.19-8 Tue Aug 20 2013 16:19:18 on localhost [Seed = 4105529850] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3421 geometric_solution 6.58821525 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 -1 2 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 0.728509983750 0.989271520876 3 4 5 0 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 0 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 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751980396719 0.714433011392 4 3 0 6 2310 3201 0132 0132 0 0 0 0 0 1 -2 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 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 0.751980396719 0.714433011392 1 6 2 5 0132 1302 2310 1302 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.907680046097 0.496627277123 4 1 2 4 3012 0132 3201 1230 0 0 0 0 0 1 0 -1 1 0 -1 0 0 -1 0 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 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845041272191 0.728776916559 6 6 3 1 1230 3012 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212281318924 0.580596424068 5 5 2 3 1230 3012 0132 2031 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212281318924 0.580596424068 ==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_1010_3']), 'c_1100_5' : negation(d['c_1010_3']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1010_3']), 'c_1100_0' : negation(d['c_1010_3']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_1010_3']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_1010_3'], 'c_1010_2' : negation(d['c_0011_5']), '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_5, c_0011_6, c_0101_0, c_0101_4, c_1010_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 102547534912693/5576299548757*c_1010_3^15 - 771983664198941/5576299548757*c_1010_3^14 + 1833737004486841/5576299548757*c_1010_3^13 - 594363250115461/5576299548757*c_1010_3^12 - 3808207911458882/5576299548757*c_1010_3^11 + 494137871240827/796614221251*c_1010_3^10 + 4333544372157823/5576299548757*c_1010_3^9 - 4195729998248972/5576299548757*c_1010_3^8 + 3324638706281948/5576299548757*c_1010_3^7 + 17278837114740142/5576299548757*c_1010_3^6 + 2520478928576865/796614221251*c_1010_3^5 + 12263633393404152/5576299548757*c_1010_3^4 + 951464908947659/796614221251*c_1010_3^3 + 2487956022435948/5576299548757*c_1010_3^2 + 540179857795203/5576299548757*c_1010_3 - 53501784029541/5576299548757, c_0011_0 - 1, c_0011_1 + 9770325309/3983071106255*c_1010_3^15 - 1287055012806/3983071106255*c_1010_3^14 + 9531978050268/3983071106255*c_1010_3^13 - 23640773702404/3983071106255*c_1010_3^12 + 12437037962007/3983071106255*c_1010_3^11 + 38765436046731/3983071106255*c_1010_3^10 - 43332276898482/3983071106255*c_1010_3^9 - 7925833534407/796614221251*c_1010_3^8 + 47005600520518/3983071106255*c_1010_3^7 - 46642704497913/3983071106255*c_1010_3^6 - 184592795281966/3983071106255*c_1010_3^5 - 184381100167113/3983071106255*c_1010_3^4 - 133528770584284/3983071106255*c_1010_3^3 - 63172046894637/3983071106255*c_1010_3^2 - 21996258488159/3983071106255*c_1010_3 - 2154825738508/3983071106255, c_0011_5 - 2604694472901/3983071106255*c_1010_3^15 + 19215934865444/3983071106255*c_1010_3^14 - 43812424562982/3983071106255*c_1010_3^13 + 9670030987106/3983071106255*c_1010_3^12 + 94230169596887/3983071106255*c_1010_3^11 - 68054286870644/3983071106255*c_1010_3^10 - 120296746329587/3983071106255*c_1010_3^9 + 15774381479946/796614221251*c_1010_3^8 - 64008731741842/3983071106255*c_1010_3^7 - 446494521661533/3983071106255*c_1010_3^6 - 529490622063546/3983071106255*c_1010_3^5 - 398295536041833/3983071106255*c_1010_3^4 - 229171695698779/3983071106255*c_1010_3^3 - 107321657914027/3983071106255*c_1010_3^2 - 31390266360374/3983071106255*c_1010_3 - 5307137123528/3983071106255, c_0011_6 - 2604694472901/3983071106255*c_1010_3^15 + 19215934865444/3983071106255*c_1010_3^14 - 43812424562982/3983071106255*c_1010_3^13 + 9670030987106/3983071106255*c_1010_3^12 + 94230169596887/3983071106255*c_1010_3^11 - 68054286870644/3983071106255*c_1010_3^10 - 120296746329587/3983071106255*c_1010_3^9 + 15774381479946/796614221251*c_1010_3^8 - 64008731741842/3983071106255*c_1010_3^7 - 446494521661533/3983071106255*c_1010_3^6 - 529490622063546/3983071106255*c_1010_3^5 - 398295536041833/3983071106255*c_1010_3^4 - 229171695698779/3983071106255*c_1010_3^3 - 107321657914027/3983071106255*c_1010_3^2 - 31390266360374/3983071106255*c_1010_3 - 5307137123528/3983071106255, c_0101_0 + 603673896/803848861*c_1010_3^15 - 4482462370/803848861*c_1010_3^14 + 10258867797/803848861*c_1010_3^13 - 1844030440/803848861*c_1010_3^12 - 24237875520/803848861*c_1010_3^11 + 19177155908/803848861*c_1010_3^10 + 29204698832/803848861*c_1010_3^9 - 24292750463/803848861*c_1010_3^8 + 15010648038/803848861*c_1010_3^7 + 106271636797/803848861*c_1010_3^6 + 111441617060/803848861*c_1010_3^5 + 73375951168/803848861*c_1010_3^4 + 37009232620/803848861*c_1010_3^3 + 12678511279/803848861*c_1010_3^2 + 2312344051/803848861*c_1010_3 - 410598657/803848861, c_0101_4 - 113559130999/3983071106255*c_1010_3^15 + 1795176479781/3983071106255*c_1010_3^14 - 9123383883518/3983071106255*c_1010_3^13 + 17748330435179/3983071106255*c_1010_3^12 - 2966220267487/3983071106255*c_1010_3^11 - 34008058776946/3983071106255*c_1010_3^10 + 22123426126602/3983071106255*c_1010_3^9 + 8083016968134/796614221251*c_1010_3^8 - 29763203418408/3983071106255*c_1010_3^7 + 7929859933858/3983071106255*c_1010_3^6 + 127179787613941/3983071106255*c_1010_3^5 + 164123201688048/3983071106255*c_1010_3^4 + 118953951384369/3983071106255*c_1010_3^3 + 55343609126887/3983071106255*c_1010_3^2 + 22786618852114/3983071106255*c_1010_3 + 3818305833883/3983071106255, c_1010_3^16 - 7*c_1010_3^15 + 14*c_1010_3^14 + 3*c_1010_3^13 - 39*c_1010_3^12 + 15*c_1010_3^11 + 55*c_1010_3^10 - 16*c_1010_3^9 + 17*c_1010_3^8 + 182*c_1010_3^7 + 262*c_1010_3^6 + 230*c_1010_3^5 + 150*c_1010_3^4 + 75*c_1010_3^3 + 28*c_1010_3^2 + 6*c_1010_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB