Magma V2.19-8 Tue Aug 20 2013 16:14:53 on localhost [Seed = 1730607887] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s858 geometric_solution 5.49443542 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -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 1 0 -1 -1 0 1 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 0.572771760206 0.882295972654 0 3 5 4 0132 0132 0132 0132 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 1 0 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 0.664564584970 0.609558895187 3 0 4 5 3201 0132 3201 2310 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 -1 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 0.664564584970 0.609558895187 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.351427208436 1.022503498850 2 4 1 4 2310 1302 0132 2031 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 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.882689103568 0.608238048785 2 5 5 1 3201 1230 3012 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 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 0.949876468805 0.590550977996 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 3216730246/514660113*c_0101_5^10 + 45580327619/514660113*c_0101_5^9 + 54161395777/514660113*c_0101_5^8 - 196371482437/514660113*c_0101_5^7 - 22582910893/171553371*c_0101_5^6 + 2581985219/5198587*c_0101_5^5 - 17655662824/57184457*c_0101_5^4 - 113496176720/514660113*c_0101_5^3 + 124693624790/514660113*c_0101_5^2 - 11039584859/171553371*c_0101_5 - 8123554327/514660113, c_0011_0 - 1, c_0011_4 - 26411081/171553371*c_0101_5^10 + 357982198/171553371*c_0101_5^9 + 683667077/171553371*c_0101_5^8 - 1460928995/171553371*c_0101_5^7 - 560571774/57184457*c_0101_5^6 + 65100532/5198587*c_0101_5^5 + 46515522/57184457*c_0101_5^4 - 1876556641/171553371*c_0101_5^3 + 754611823/171553371*c_0101_5^2 + 107185017/57184457*c_0101_5 - 219746690/171553371, c_0101_0 - 2558601/57184457*c_0101_5^10 + 35395894/57184457*c_0101_5^9 + 50510904/57184457*c_0101_5^8 - 75123581/57184457*c_0101_5^7 - 20521966/57184457*c_0101_5^6 - 6020153/5198587*c_0101_5^5 - 209265459/57184457*c_0101_5^4 + 112646866/57184457*c_0101_5^3 - 5113510/57184457*c_0101_5^2 - 83936423/57184457*c_0101_5 + 35597513/57184457, c_0101_1 - 18103006/57184457*c_0101_5^10 + 266558896/57184457*c_0101_5^9 + 165515012/57184457*c_0101_5^8 - 1315554692/57184457*c_0101_5^7 + 160310398/57184457*c_0101_5^6 + 163678805/5198587*c_0101_5^5 - 1504117975/57184457*c_0101_5^4 - 315682316/57184457*c_0101_5^3 + 976796888/57184457*c_0101_5^2 - 425933994/57184457*c_0101_5 + 37680598/57184457, c_0101_2 - 19523971/171553371*c_0101_5^10 + 292539761/171553371*c_0101_5^9 + 102065863/171553371*c_0101_5^8 - 1440109696/171553371*c_0101_5^7 + 204521400/57184457*c_0101_5^6 + 56008499/5198587*c_0101_5^5 - 779549581/57184457*c_0101_5^4 + 167467090/171553371*c_0101_5^3 + 1384864451/171553371*c_0101_5^2 - 316700980/57184457*c_0101_5 + 76604129/171553371, c_0101_5^11 - 15*c_0101_5^10 - 5*c_0101_5^9 + 74*c_0101_5^8 - 31*c_0101_5^7 - 93*c_0101_5^6 + 117*c_0101_5^5 - 10*c_0101_5^4 - 64*c_0101_5^3 + 44*c_0101_5^2 - 8*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB