Magma V2.19-8 Tue Aug 20 2013 16:18:57 on localhost [Seed = 762097730] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3112 geometric_solution 6.26739755 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 0132 3201 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 1 0 -1 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 0.840625619932 1.496915835260 0 3 5 4 0132 0132 0132 0132 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473503268124 0.781990760524 4 5 3 0 3201 0132 1023 0132 0 0 0 0 0 1 0 -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 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 0.473503268124 0.781990760524 3 1 2 3 3201 0132 1023 2310 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313631668122 0.554628049441 4 4 1 2 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 0.752750076110 0.803290907214 6 2 6 1 0132 0132 2310 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392956314706 1.791237077901 5 5 6 6 0132 3201 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 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 0.246587033657 0.208951315567 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 4442435793/1419698624*c_0101_5^16 - 55645653085/1419698624*c_0101_5^14 - 51161691925/1419698624*c_0101_5^12 - 319109687769/709849312*c_0101_5^10 + 16789074165/354924656*c_0101_5^8 + 410582313233/1419698624*c_0101_5^6 + 213162118125/1419698624*c_0101_5^4 - 21551133999/1419698624*c_0101_5^2 - 23955570769/1419698624, c_0011_0 - 1, c_0011_2 + 85796164/22182791*c_0101_5^17 - 1063454112/22182791*c_0101_5^15 - 1123175935/22182791*c_0101_5^13 - 12523316294/22182791*c_0101_5^11 - 383535189/22182791*c_0101_5^9 + 7304167694/22182791*c_0101_5^7 + 5178330021/22182791*c_0101_5^5 + 612574762/22182791*c_0101_5^3 - 170165313/22182791*c_0101_5, c_0011_4 - 44595186/22182791*c_0101_5^17 + 548872518/22182791*c_0101_5^15 + 635241487/22182791*c_0101_5^13 + 6519019469/22182791*c_0101_5^11 + 743374556/22182791*c_0101_5^9 - 4234967736/22182791*c_0101_5^7 - 2833223710/22182791*c_0101_5^5 - 330297939/22182791*c_0101_5^3 + 142543275/22182791*c_0101_5, c_0101_0 - 539160544/22182791*c_0101_5^16 + 6678940287/22182791*c_0101_5^14 + 7115616281/22182791*c_0101_5^12 + 78656247741/22182791*c_0101_5^10 + 2930735899/22182791*c_0101_5^8 - 46958298251/22182791*c_0101_5^6 - 32545985085/22182791*c_0101_5^4 - 3549964422/22182791*c_0101_5^2 + 1401187204/22182791, c_0101_1 - 295528282/22182791*c_0101_5^16 + 3660619691/22182791*c_0101_5^14 + 3903443873/22182791*c_0101_5^12 + 43121868528/22182791*c_0101_5^10 + 1651388667/22182791*c_0101_5^8 - 25687978275/22182791*c_0101_5^6 - 17881502474/22182791*c_0101_5^4 - 2007278331/22182791*c_0101_5^2 + 753869572/22182791, c_0101_3 + 280034463/22182791*c_0101_5^17 - 3469900865/22182791*c_0101_5^15 - 3682272796/22182791*c_0101_5^13 - 40866239062/22182791*c_0101_5^11 - 1409762147/22182791*c_0101_5^9 + 24104669251/22182791*c_0101_5^7 + 16851024939/22182791*c_0101_5^5 + 1962069654/22182791*c_0101_5^3 - 668251958/22182791*c_0101_5, c_0101_5^18 - 12*c_0101_5^16 - 18*c_0101_5^14 - 151*c_0101_5^12 - 62*c_0101_5^10 + 85*c_0101_5^8 + 94*c_0101_5^6 + 30*c_0101_5^4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB