Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 3549580648] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m282 geometric_solution 4.37004092 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 3 0132 0132 1230 0132 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 1 0 -1 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 0.559049257796 0.707577817631 0 3 2 0 0132 2031 1302 3012 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 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 0.312533718723 0.870112757002 1 0 2 2 2031 0132 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 -1 1 0 0 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.312533718723 0.870112757002 1 4 0 4 1302 0132 0132 2310 0 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 0 0 0 0 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 0 0 0 0 0 0 0 0.858973160980 1.085492916036 3 3 4 4 3201 0132 1230 3012 0 0 0 0 0 1 0 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355349213636 0.269678663272 ==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' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_4' : 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' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_4'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_2, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 100448389959/8197262810*c_0110_4^11 + 35509218858/4098631405*c_0110_4^10 + 1432957369013/8197262810*c_0110_4^9 - 394603082481/4098631405*c_0110_4^8 - 21368945800/819726281*c_0110_4^7 - 124152406309/8197262810*c_0110_4^6 - 9578435828243/8197262810*c_0110_4^5 + 3429846130567/8197262810*c_0110_4^4 + 4340106391924/4098631405*c_0110_4^3 - 2827367319287/8197262810*c_0110_4^2 + 235173918095/819726281*c_0110_4 + 39061823683/8197262810, c_0011_0 - 1, c_0011_3 + 1331624/21917815*c_0110_4^11 - 336086/21917815*c_0110_4^10 - 19757988/21917815*c_0110_4^9 + 3298532/21917815*c_0110_4^8 + 2074869/4383563*c_0110_4^7 - 14488761/21917815*c_0110_4^6 + 149860423/21917815*c_0110_4^5 - 19205497/21917815*c_0110_4^4 - 139941928/21917815*c_0110_4^3 + 64687032/21917815*c_0110_4^2 - 16516863/4383563*c_0110_4 + 11923172/21917815, c_0101_2 + 407901833/4098631405*c_0110_4^11 - 565950112/4098631405*c_0110_4^10 - 5469549226/4098631405*c_0110_4^9 + 6943683309/4098631405*c_0110_4^8 - 670916269/819726281*c_0110_4^7 + 2409483988/4098631405*c_0110_4^6 + 37302451236/4098631405*c_0110_4^5 - 36604610544/4098631405*c_0110_4^4 - 13887880571/4098631405*c_0110_4^3 + 24404785689/4098631405*c_0110_4^2 - 4189537367/819726281*c_0110_4 + 3701628974/4098631405, c_0101_4 - 686737486/4098631405*c_0110_4^11 + 531522469/4098631405*c_0110_4^10 + 9943562712/4098631405*c_0110_4^9 - 6209797698/4098631405*c_0110_4^8 - 685859716/819726281*c_0110_4^7 + 946337719/4098631405*c_0110_4^6 - 67902162112/4098631405*c_0110_4^5 + 29570089143/4098631405*c_0110_4^4 + 71102807247/4098631405*c_0110_4^3 - 30472998298/4098631405*c_0110_4^2 + 2943428795/819726281*c_0110_4 - 998593808/4098631405, c_0110_4^12 - c_0110_4^11 - 14*c_0110_4^10 + 12*c_0110_4^9 - c_0110_4^8 + c_0110_4^7 + 95*c_0110_4^6 - 62*c_0110_4^5 - 71*c_0110_4^4 + 52*c_0110_4^3 - 36*c_0110_4^2 + 8*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB