Magma V2.19-8 Tue Aug 20 2013 16:14:44 on localhost [Seed = 2598045314] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s709 geometric_solution 5.21989649 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723657501322 0.732388965980 3 2 4 0 0132 3012 0132 0132 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 1 -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 1.026916240206 0.770985563727 1 5 0 4 1230 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.026916240206 0.770985563727 1 5 4 5 0132 1023 0321 3012 0 0 0 0 0 1 0 -1 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 -1 1 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 0.179446853169 0.832131628091 5 2 3 1 3012 2310 0321 0132 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 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 0.620413249005 0.204707613852 3 2 3 4 1023 0132 1230 1230 0 0 0 0 0 0 0 0 -1 0 0 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 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 0.179446853169 0.832131628091 ==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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_1001_4'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], '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' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_1001_4']), 'c_1001_4' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_1001_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_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1263/97*c_1001_4^10 + 4404/97*c_1001_4^9 + 9705/97*c_1001_4^8 + 5416/97*c_1001_4^7 - 19932/97*c_1001_4^6 - 23953/97*c_1001_4^5 - 505/97*c_1001_4^4 + 24802/97*c_1001_4^3 + 12355/97*c_1001_4^2 - 5541/97*c_1001_4 - 6990/97, c_0011_0 - 1, c_0011_1 - 121/97*c_1001_4^10 + 371/97*c_1001_4^9 + 1030/97*c_1001_4^8 + 1069/97*c_1001_4^7 - 758/97*c_1001_4^6 - 1868/97*c_1001_4^5 - 1113/97*c_1001_4^4 + 610/97*c_1001_4^3 + 820/97*c_1001_4^2 + 244/97*c_1001_4 - 72/97, c_0011_4 + 19/97*c_1001_4^10 - 31/97*c_1001_4^9 - 193/97*c_1001_4^8 - 527/97*c_1001_4^7 - 669/97*c_1001_4^6 - 251/97*c_1001_4^5 + 578/97*c_1001_4^4 + 770/97*c_1001_4^3 + 240/97*c_1001_4^2 - 274/97*c_1001_4 - 137/97, c_0101_0 + 48/97*c_1001_4^10 - 160/97*c_1001_4^9 - 314/97*c_1001_4^8 - 489/97*c_1001_4^7 - 36/97*c_1001_4^6 + 244/97*c_1001_4^5 + 383/97*c_1001_4^4 + 138/97*c_1001_4^3 + 9/97*c_1001_4^2 - 3/97*c_1001_4 - 50/97, c_0101_1 - c_1001_4, c_1001_4^11 - 3*c_1001_4^10 - 9*c_1001_4^9 - 9*c_1001_4^8 + 10*c_1001_4^7 + 21*c_1001_4^6 + 9*c_1001_4^5 - 14*c_1001_4^4 - 13*c_1001_4^3 + 5*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB