Magma V2.19-8 Tue Aug 20 2013 16:14:12 on localhost [Seed = 425231671] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s171 geometric_solution 4.26615525 oriented_manifold CS_known -0.0000000000000003 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 -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 1.612127588783 0.184189274604 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 0 1 -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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.358034697328 0.464529342825 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 1 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 0 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310770965097 0.583611608953 2 5 4 4 0132 0132 3201 0321 0 0 0 0 0 0 0 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 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 0.230589327580 1.184930749521 3 3 2 5 2310 0321 0132 2310 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 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 0.230589327580 1.184930749521 4 3 5 5 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390178487604 0.261292923667 ==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' : 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' : negation(d['1']), 's_2_5' : 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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], '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_0110_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), '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_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0011_4']), '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_4, c_0101_0, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 6011830495509/2995770986864*c_0110_5^19 - 122520458373501/5991541973728*c_0110_5^17 - 480066267260569/5991541973728*c_0110_5^15 + 6498875576691619/5991541973728*c_0110_5^13 + 397226820253869/5991541973728*c_0110_5^11 + 19425788923210345/5991541973728*c_0110_5^9 - 5536949199274019/5991541973728*c_0110_5^7 + 8784175695534909/5991541973728*c_0110_5^5 - 8400212528158135/5991541973728*c_0110_5^3 + 233467787111337/1497885493432*c_0110_5, c_0011_0 - 1, c_0011_1 - 84558464589/2995770986864*c_0110_5^18 - 106040791027/374471373358*c_0110_5^16 - 810238639801/748942746716*c_0110_5^14 + 5778698916977/374471373358*c_0110_5^12 - 2217880458723/1497885493432*c_0110_5^10 + 34114918165569/748942746716*c_0110_5^8 - 3723186991739/187235686679*c_0110_5^6 + 8342277691253/374471373358*c_0110_5^4 - 68432249042537/2995770986864*c_0110_5^2 + 2996373467845/748942746716, c_0011_4 + 74907595257/748942746716*c_0110_5^19 + 190480568977/187235686679*c_0110_5^17 + 11909278994293/2995770986864*c_0110_5^15 - 40537681260391/748942746716*c_0110_5^13 - 6833926555459/2995770986864*c_0110_5^11 - 242622587161205/1497885493432*c_0110_5^9 + 147510048289913/2995770986864*c_0110_5^7 - 111896517276751/1497885493432*c_0110_5^5 + 216308154759761/2995770986864*c_0110_5^3 - 7071533925427/748942746716*c_0110_5, c_0101_0 + 65179244635/1497885493432*c_0110_5^19 + 2611859301135/5991541973728*c_0110_5^17 + 9948233361515/5991541973728*c_0110_5^15 - 142756313078941/5991541973728*c_0110_5^13 + 15432881626297/5991541973728*c_0110_5^11 - 417296776403003/5991541973728*c_0110_5^9 + 193283079941761/5991541973728*c_0110_5^7 - 205049450435723/5991541973728*c_0110_5^5 + 210192497540415/5991541973728*c_0110_5^3 - 12369562032607/1497885493432*c_0110_5, c_0101_3 - 28082183745/374471373358*c_0110_5^18 - 1140683638825/1497885493432*c_0110_5^16 - 8887736163991/2995770986864*c_0110_5^14 + 15219726529025/374471373358*c_0110_5^12 + 3187496715251/2995770986864*c_0110_5^10 + 45189480612493/374471373358*c_0110_5^8 - 114002082733503/2995770986864*c_0110_5^6 + 83590594070235/1497885493432*c_0110_5^4 - 158328507062189/2995770986864*c_0110_5^2 + 5812070954561/748942746716, c_0110_5^20 + 10*c_0110_5^18 + 38*c_0110_5^16 - 548*c_0110_5^14 + 70*c_0110_5^12 - 1614*c_0110_5^10 + 766*c_0110_5^8 - 832*c_0110_5^6 + 837*c_0110_5^4 - 216*c_0110_5^2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB