Magma V2.19-8 Tue Aug 20 2013 16:09:03 on localhost [Seed = 4290666821] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m339 geometric_solution 4.58652941 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 4 0132 0132 0132 0132 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 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 1.097888104462 1.226941027520 0 1 1 2 0132 1230 3012 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806191728450 0.724041424113 3 0 4 1 1302 0132 2031 0213 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 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 0.594986217203 0.452621742421 3 2 3 0 2031 2031 1302 0132 0 0 0 0 0 1 0 -1 0 0 0 0 1 0 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 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 0.088637728705 0.826681132812 4 4 0 2 1302 2031 0132 1302 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 1 0 -1 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 0.388977114612 0.529038562782 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], '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_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0110_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_0011_4, c_0101_0, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 5267841/2783816*c_0110_4^11 - 436145/1391908*c_0110_4^10 - 24545277/2783816*c_0110_4^9 - 1664783/2783816*c_0110_4^8 + 27978983/1391908*c_0110_4^7 + 22114017/1391908*c_0110_4^6 - 42429475/1391908*c_0110_4^5 - 8039441/198844*c_0110_4^4 + 132546031/2783816*c_0110_4^3 + 70224233/2783816*c_0110_4^2 - 9323665/198844*c_0110_4 - 6650981/695954, c_0011_0 - 1, c_0011_3 - 3688/49711*c_0110_4^11 + 10975/99422*c_0110_4^10 + 13237/49711*c_0110_4^9 - 31409/99422*c_0110_4^8 - 59361/99422*c_0110_4^7 + 7441/49711*c_0110_4^6 + 62436/49711*c_0110_4^5 - 652/49711*c_0110_4^4 - 121116/49711*c_0110_4^3 + 172823/99422*c_0110_4^2 + 124181/99422*c_0110_4 - 60191/49711, c_0011_4 - 3543/49711*c_0110_4^11 + 4087/99422*c_0110_4^10 + 13404/49711*c_0110_4^9 - 17005/99422*c_0110_4^8 - 49681/99422*c_0110_4^7 - 3217/49711*c_0110_4^6 + 51732/49711*c_0110_4^5 + 14632/49711*c_0110_4^4 - 126760/49711*c_0110_4^3 + 110939/99422*c_0110_4^2 + 183931/99422*c_0110_4 - 48133/49711, c_0101_0 + 6029/198844*c_0110_4^11 - 145/49711*c_0110_4^10 - 16369/198844*c_0110_4^9 - 6697/198844*c_0110_4^8 + 10885/49711*c_0110_4^7 + 20465/99422*c_0110_4^6 - 32945/99422*c_0110_4^5 - 56969/99422*c_0110_4^4 + 101647/198844*c_0110_4^3 + 161243/198844*c_0110_4^2 - 17290/49711*c_0110_4 - 47962/49711, c_0110_4^12 - 5*c_0110_4^10 - c_0110_4^9 + 12*c_0110_4^8 + 10*c_0110_4^7 - 18*c_0110_4^6 - 26*c_0110_4^5 + 27*c_0110_4^4 + 23*c_0110_4^3 - 32*c_0110_4^2 - 12*c_0110_4 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB