Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 206409942] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1697 geometric_solution 5.41125730 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 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 1.420097751965 0.580391668795 0 2 3 0 3201 0132 0132 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 0.732438454207 0.307804724803 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 1 -1 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 -1 0 -1 0 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 0.673636564094 0.486562219940 2 5 4 1 2031 0132 1023 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -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 0.673636564094 0.486562219940 2 6 3 6 0132 0132 1023 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 1 -1 1 0 -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 0.367908701879 1.529655600195 6 3 2 6 3120 0132 0132 1302 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 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612187963206 0.176245993011 4 4 5 5 3201 0132 2031 3120 0 0 0 0 0 0 1 -1 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230741989470 0.558393664715 ==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' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], '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' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_5'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], '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_3, c_0101_0, c_0101_4, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 9874753272141215433/185116428297511312822*c_1001_1^10 + 182375999608886277079/370232856595022625644*c_1001_1^9 + 586603323448646857637/370232856595022625644*c_1001_1^8 - 6488643139414937326/2985748843508246981*c_1001_1^7 - 6320998843082266504137/370232856595022625644*c_1001_1^6 + 276885149650590620911/16828766208864664802*c_1001_1^5 + 621363026813789155657/11942995374032987924*c_1001_1^4 - 553961275825481896263/16828766208864664802*c_1001_1^3 - 25704595640818788184153/370232856595022625644*c_1001_1^2 + 116896391784762673664/8414383104432332401*c_1001_1 + 17856885282113297083823/370232856595022625644, c_0011_0 - 1, c_0011_1 + 3650025772773/10773858008236021*c_1001_1^10 + 20224167976321/10773858008236021*c_1001_1^9 - 24082691705802/10773858008236021*c_1001_1^8 - 20991275155554/347543806717291*c_1001_1^7 - 1087579316221312/10773858008236021*c_1001_1^6 + 5140196819749961/10773858008236021*c_1001_1^5 + 118661966454772/347543806717291*c_1001_1^4 - 9558847328089263/10773858008236021*c_1001_1^3 - 14425422708816048/10773858008236021*c_1001_1^2 + 6916465111551904/10773858008236021*c_1001_1 + 14652962089737361/10773858008236021, c_0011_3 - 43856600715409/10773858008236021*c_1001_1^10 - 399988998014949/10773858008236021*c_1001_1^9 - 2610973681265985/21547716016472042*c_1001_1^8 + 48153293204400/347543806717291*c_1001_1^7 + 12379775036032224/10773858008236021*c_1001_1^6 - 27266476921042425/21547716016472042*c_1001_1^5 - 1847617242630035/695087613434582*c_1001_1^4 + 16219635314104126/10773858008236021*c_1001_1^3 + 30288597840307893/10773858008236021*c_1001_1^2 - 11551808030958351/21547716016472042*c_1001_1 - 31603140080294097/21547716016472042, c_0101_0 + 13386356210026/10773858008236021*c_1001_1^10 + 135084000034816/10773858008236021*c_1001_1^9 + 518366396469947/10773858008236021*c_1001_1^8 - 2183619952673/347543806717291*c_1001_1^7 - 4300378039411871/10773858008236021*c_1001_1^6 - 39963803436319/10773858008236021*c_1001_1^5 + 392431303829089/347543806717291*c_1001_1^4 + 6570489998899595/10773858008236021*c_1001_1^3 - 16376639365815290/10773858008236021*c_1001_1^2 - 16591625071384989/10773858008236021*c_1001_1 + 9160698508437707/10773858008236021, c_0101_4 - 51599447629339/10773858008236021*c_1001_1^10 - 439946711829922/10773858008236021*c_1001_1^9 - 1192762674034406/10773858008236021*c_1001_1^8 + 106015441547785/347543806717291*c_1001_1^7 + 15814758323379712/10773858008236021*c_1001_1^6 - 25149445457641876/10773858008236021*c_1001_1^5 - 1324052821024540/347543806717291*c_1001_1^4 + 48937000284738473/10773858008236021*c_1001_1^3 + 62569108683840396/10773858008236021*c_1001_1^2 - 29460565190145502/10773858008236021*c_1001_1 - 43409784153946241/10773858008236021, c_0110_5 - 3650025772773/10773858008236021*c_1001_1^10 - 20224167976321/10773858008236021*c_1001_1^9 + 24082691705802/10773858008236021*c_1001_1^8 + 20991275155554/347543806717291*c_1001_1^7 + 1087579316221312/10773858008236021*c_1001_1^6 - 5140196819749961/10773858008236021*c_1001_1^5 - 118661966454772/347543806717291*c_1001_1^4 + 9558847328089263/10773858008236021*c_1001_1^3 + 14425422708816048/10773858008236021*c_1001_1^2 - 6916465111551904/10773858008236021*c_1001_1 - 14652962089737361/10773858008236021, c_1001_1^11 + 10*c_1001_1^10 + 37*c_1001_1^9 - 16*c_1001_1^8 - 345*c_1001_1^7 + 55*c_1001_1^6 + 1156*c_1001_1^5 + 220*c_1001_1^4 - 1699*c_1001_1^3 - 825*c_1001_1^2 + 1046*c_1001_1 + 781 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB