Magma V2.19-8 Tue Aug 20 2013 16:16:25 on localhost [Seed = 1966401945] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0702 geometric_solution 4.65678030 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.862313681214 0.272414572446 0 2 3 0 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.637825789560 0.890393453847 3 1 4 5 2310 0132 0132 0132 0 0 0 0 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 -1 1 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 0.336596048100 0.349315228709 4 6 2 1 1023 0132 3201 0132 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 1 0 0 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336596048100 0.349315228709 5 3 6 2 1230 1023 0321 0132 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 -1 0 1 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.950568550729 0.326543877641 6 4 2 6 3120 3012 0132 2310 0 0 0 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 0 0 0 0 0 0 0 0 2 -1 -1 -2 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 1.319293404582 1.134612167560 5 3 4 5 3201 0132 0321 3120 0 0 0 0 0 0 0 0 0 0 -1 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 0 -2 2 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.319293404582 1.134612167560 ==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' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 28291241/1337865*c_0101_4^10 - 66554896/267573*c_0101_4^9 - 558602844/445955*c_0101_4^8 - 5183131348/1337865*c_0101_4^7 - 145942756/16935*c_0101_4^6 - 15316370998/1337865*c_0101_4^5 - 3999811608/445955*c_0101_4^4 - 1182125539/267573*c_0101_4^3 - 590702294/445955*c_0101_4^2 - 61208987/445955*c_0101_4 + 22326182/1337865, c_0011_0 - 1, c_0011_3 + 1149018/445955*c_0101_4^10 + 2540577/89191*c_0101_4^9 + 59221261/445955*c_0101_4^8 + 170218064/445955*c_0101_4^7 + 4498718/5645*c_0101_4^6 + 392670774/445955*c_0101_4^5 + 256214612/445955*c_0101_4^4 + 22633202/89191*c_0101_4^3 + 30389376/445955*c_0101_4^2 + 5505973/445955*c_0101_4 + 1220224/445955, c_0011_5 + 5924926/445955*c_0101_4^10 + 13383185/89191*c_0101_4^9 + 320104637/445955*c_0101_4^8 + 941249298/445955*c_0101_4^7 + 25339936/5645*c_0101_4^6 + 2355391103/445955*c_0101_4^5 + 1596742539/445955*c_0101_4^4 + 145624370/89191*c_0101_4^3 + 209409352/445955*c_0101_4^2 + 30946806/445955*c_0101_4 + 8343328/445955, c_0101_0 - 195627/445955*c_0101_4^10 - 468001/89191*c_0101_4^9 - 12023119/445955*c_0101_4^8 - 37891556/445955*c_0101_4^7 - 1084127/5645*c_0101_4^6 - 118228806/445955*c_0101_4^5 - 96527368/445955*c_0101_4^4 - 9746285/89191*c_0101_4^3 - 14692194/445955*c_0101_4^2 - 1981677/445955*c_0101_4 - 355961/445955, c_0101_1 - 71206/445955*c_0101_4^10 - 158157/89191*c_0101_4^9 - 3729742/445955*c_0101_4^8 - 10944803/445955*c_0101_4^7 - 297266/5645*c_0101_4^6 - 27992968/445955*c_0101_4^5 - 22237814/445955*c_0101_4^4 - 2509898/89191*c_0101_4^3 - 5311942/445955*c_0101_4^2 - 711371/445955*c_0101_4 + 179122/445955, c_0101_3 + 5924926/445955*c_0101_4^10 + 13383185/89191*c_0101_4^9 + 320104637/445955*c_0101_4^8 + 941249298/445955*c_0101_4^7 + 25339936/5645*c_0101_4^6 + 2355391103/445955*c_0101_4^5 + 1596742539/445955*c_0101_4^4 + 145624370/89191*c_0101_4^3 + 209409352/445955*c_0101_4^2 + 30946806/445955*c_0101_4 + 8343328/445955, c_0101_4^11 + 12*c_0101_4^10 + 62*c_0101_4^9 + 197*c_0101_4^8 + 450*c_0101_4^7 + 636*c_0101_4^6 + 550*c_0101_4^5 + 313*c_0101_4^4 + 122*c_0101_4^3 + 30*c_0101_4^2 + 5*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB