Magma V2.19-8 Tue Aug 20 2013 16:14:07 on localhost [Seed = 223121716] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s061 geometric_solution 3.60130470 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 1302 0132 0 0 0 0 0 -1 0 1 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 -2 1 1 2 0 -2 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 0.996090802094 0.515467987556 0 2 3 2 0132 2310 1230 3012 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 -1 0 1 -2 0 0 2 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.014711578786 1.939873112718 0 0 1 1 2031 0132 1230 3201 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 2 -2 0 -1 0 0 1 -1 0 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208134565594 0.409783205537 4 4 0 1 0132 3201 0132 3012 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 1.265705603858 0.881103595051 3 5 3 5 0132 0132 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 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 -1.516366835833 0.653228159026 5 4 5 4 2031 0132 1302 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 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 0.382344932449 0.030037349342 ==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' : 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' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0011_5' : 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_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_4'])})} 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_3, c_0101_1, c_0101_2, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 1185280444/779901633*c_0110_5^12 + 184863946/111414519*c_0110_5^11 - 7505396326/259967211*c_0110_5^10 + 40151136779/779901633*c_0110_5^9 - 95275130827/779901633*c_0110_5^8 + 133478210534/779901633*c_0110_5^7 - 8086100377/37138173*c_0110_5^6 + 8136236282/37138173*c_0110_5^5 - 21195196309/111414519*c_0110_5^4 + 101149858846/779901633*c_0110_5^3 - 61688106934/779901633*c_0110_5^2 + 4212650/141981*c_0110_5 - 8863836640/779901633, c_0011_0 - 1, c_0011_3 - 20105202/12379391*c_0110_5^12 - 3942427/12379391*c_0110_5^11 - 370660428/12379391*c_0110_5^10 + 206184164/12379391*c_0110_5^9 - 1047223599/12379391*c_0110_5^8 + 736323265/12379391*c_0110_5^7 - 1033185801/12379391*c_0110_5^6 + 937570048/12379391*c_0110_5^5 - 332637321/12379391*c_0110_5^4 + 512257091/12379391*c_0110_5^3 + 66188147/12379391*c_0110_5^2 + 48121/6761*c_0110_5 + 51480172/12379391, c_0101_1 - 15521672/12379391*c_0110_5^12 + 5764932/12379391*c_0110_5^11 - 280649170/12379391*c_0110_5^10 + 324216839/12379391*c_0110_5^9 - 822447315/12379391*c_0110_5^8 + 1029943050/12379391*c_0110_5^7 - 824507042/12379391*c_0110_5^6 + 1173494256/12379391*c_0110_5^5 - 232631074/12379391*c_0110_5^4 + 580011087/12379391*c_0110_5^3 + 79511784/12379391*c_0110_5^2 + 51756/6761*c_0110_5 + 45947317/12379391, c_0101_2 - 14136036/12379391*c_0110_5^12 - 9535044/12379391*c_0110_5^11 - 269264093/12379391*c_0110_5^10 + 9665230/12379391*c_0110_5^9 - 813661581/12379391*c_0110_5^8 + 60834752/12379391*c_0110_5^7 - 954277724/12379391*c_0110_5^6 + 40455524/12379391*c_0110_5^5 - 481021708/12379391*c_0110_5^4 - 12335620/12379391*c_0110_5^3 - 44925293/12379391*c_0110_5^2 - 10240/6761*c_0110_5 + 22845428/12379391, c_0101_4 + 12244238/12379391*c_0110_5^12 + 7781899/12379391*c_0110_5^11 + 234586773/12379391*c_0110_5^10 - 12549750/12379391*c_0110_5^9 + 736449590/12379391*c_0110_5^8 - 15588836/12379391*c_0110_5^7 + 864503244/12379391*c_0110_5^6 + 76378445/12379391*c_0110_5^5 + 433689928/12379391*c_0110_5^4 + 112481320/12379391*c_0110_5^3 + 97961973/12379391*c_0110_5^2 + 28260/6761*c_0110_5 + 13023840/12379391, c_0110_5^13 + 1/2*c_0110_5^12 + 39/2*c_0110_5^11 - 7/2*c_0110_5^10 + 137/2*c_0110_5^9 - 25/2*c_0110_5^8 + 99*c_0110_5^7 - 21/2*c_0110_5^6 + 70*c_0110_5^5 + 1/2*c_0110_5^4 + 47/2*c_0110_5^3 + 9/2*c_0110_5^2 + 5/2*c_0110_5 + 3/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB