Magma V2.19-8 Tue Aug 20 2013 16:09:01 on localhost [Seed = 290492328] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m302 geometric_solution 4.46014676 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296150154804 0.694655634952 0 3 4 3 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850574201794 1.671760761954 3 4 3 0 2310 1023 3201 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 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 0.850574201794 1.671760761954 2 1 2 1 2310 0132 3201 1023 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 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 0.279260430599 0.406165087795 2 4 4 1 1023 3201 2310 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 -1 0 1 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 0.010313270695 0.759300751713 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : 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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0']})} 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_2, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1669189/28419552*c_0101_2^9 - 2837599/28419552*c_0101_2^8 + 1338005/2368296*c_0101_2^7 - 3045163/9473184*c_0101_2^6 + 4317605/3157728*c_0101_2^5 + 388883/150368*c_0101_2^4 + 20304479/14209776*c_0101_2^3 + 149717/126873*c_0101_2^2 - 2350267/3552444*c_0101_2 - 2474701/1776222, c_0011_0 - 1, c_0011_2 - 883/676656*c_0101_2^9 + 1055/225552*c_0101_2^8 + 9847/338328*c_0101_2^7 - 48079/676656*c_0101_2^6 + 3329/676656*c_0101_2^5 + 5795/676656*c_0101_2^4 - 3634/14097*c_0101_2^3 - 148525/169164*c_0101_2^2 + 2536/42291*c_0101_2 - 13403/42291, c_0101_0 - 1757/338328*c_0101_2^9 - 35/338328*c_0101_2^8 + 1367/18796*c_0101_2^7 - 11621/112776*c_0101_2^6 + 3249/37592*c_0101_2^5 + 8179/112776*c_0101_2^4 - 47599/84582*c_0101_2^3 - 27485/169164*c_0101_2^2 - 13645/84582*c_0101_2 + 1937/42291, c_0101_1 + 13403/676656*c_0101_2^9 + 15169/676656*c_0101_2^8 - 17545/84582*c_0101_2^7 + 134851/676656*c_0101_2^6 - 372947/676656*c_0101_2^5 - 234509/676656*c_0101_2^4 - 166631/338328*c_0101_2^3 + 5223/18796*c_0101_2^2 + 25270/42291*c_0101_2 + 2777/14097, c_0101_2^10 + c_0101_2^9 - 10*c_0101_2^8 + 13*c_0101_2^7 - 35*c_0101_2^6 - 17*c_0101_2^5 - 24*c_0101_2^4 - 12*c_0101_2^3 - 8*c_0101_2^2 + 16*c_0101_2 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB