Magma V2.19-8 Tue Aug 20 2013 16:14:07 on localhost [Seed = 2917937556] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s071 geometric_solution 3.61133367 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 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 -1 0 1 0 0 1 -1 -2 2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995090458107 0.512401400029 0 3 4 4 0132 3012 2310 0132 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 -1 1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.276661750981 0.892616965871 3 0 0 3 1302 0132 0321 2103 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 1 0 -1 0 0 0 0 0 1 0 -1 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995090458107 0.512401400029 1 2 0 2 1230 2031 0132 2103 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 -1 0 1 0 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.018697368465 1.951415832255 5 1 1 5 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.280636130812 0.129135257235 4 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.572968878381 0.326381484945 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0110_2']), 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_4']), '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_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0110_2']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_0011_4, c_0101_1, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 269/8*c_0110_2^14 - 925/16*c_0110_2^13 + 333/16*c_0110_2^12 + 883/8*c_0110_2^11 - 2393/16*c_0110_2^10 - 6371/16*c_0110_2^9 + 339/16*c_0110_2^8 + 4101/8*c_0110_2^7 - 591/8*c_0110_2^6 - 2945/4*c_0110_2^5 - 170*c_0110_2^4 + 2011/4*c_0110_2^3 + 2419/16*c_0110_2^2 - 4345/16*c_0110_2 - 2235/16, c_0011_0 - 1, c_0011_3 - c_0110_2^2 + 1, c_0011_4 - c_0110_2^6 + c_0110_2^4 - 2*c_0110_2^2 + 1, c_0101_1 - c_0110_2^3, c_0101_5 + 1/2*c_0110_2^14 + 1/2*c_0110_2^13 - c_0110_2^12 - 3/2*c_0110_2^11 + 7/2*c_0110_2^10 + 7/2*c_0110_2^9 - 5*c_0110_2^8 - 6*c_0110_2^7 + 7*c_0110_2^6 + 6*c_0110_2^5 - 6*c_0110_2^4 - 9/2*c_0110_2^3 + 7/2*c_0110_2^2 + 3/2*c_0110_2 - 1, c_0110_2^15 + c_0110_2^14 - 2*c_0110_2^13 - 3*c_0110_2^12 + 7*c_0110_2^11 + 9*c_0110_2^10 - 10*c_0110_2^9 - 16*c_0110_2^8 + 14*c_0110_2^7 + 22*c_0110_2^6 - 12*c_0110_2^5 - 21*c_0110_2^4 + 7*c_0110_2^3 + 13*c_0110_2^2 - 2*c_0110_2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB