Magma V2.19-8 Tue Aug 20 2013 16:18:47 on localhost [Seed = 3920131224] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2941 geometric_solution 6.13756710 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.449040576137 1.074590335078 0 5 6 3 0132 0132 0132 1302 0 0 0 0 0 -1 0 1 -1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158709249755 0.412993250149 6 0 5 4 0213 0132 0321 3201 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 -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 0.449040576137 1.074590335078 6 5 1 0 1302 1302 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.433614854008 0.636020496571 4 2 0 4 3012 2310 0132 1230 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 -1 1 -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 1.174846685218 0.842634989110 6 1 2 3 2031 0132 0321 2031 0 0 0 0 0 1 -1 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 -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 1.403055683493 1.340785985414 2 3 5 1 0213 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.449040576137 1.074590335078 ==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' : 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_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : 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_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0011_4']), 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_1001_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 704/71*c_1001_0^11 + 104/71*c_1001_0^10 + 3082/71*c_1001_0^9 - 663/71*c_1001_0^8 - 2463/71*c_1001_0^7 + 3782/71*c_1001_0^6 - 161/71*c_1001_0^5 - 1300/71*c_1001_0^4 + 1128/71*c_1001_0^3 - 1385/71*c_1001_0^2 + 1059/71*c_1001_0 - 178/71, c_0011_0 - 1, c_0011_3 + 640/2343*c_1001_0^11 + 12/71*c_1001_0^10 - 1730/781*c_1001_0^9 - 1424/2343*c_1001_0^8 + 363/71*c_1001_0^7 - 553/2343*c_1001_0^6 - 8606/2343*c_1001_0^5 + 6055/2343*c_1001_0^4 + 827/2343*c_1001_0^3 - 783/781*c_1001_0^2 - 356/2343*c_1001_0 - 574/2343, c_0011_4 + 862/2343*c_1001_0^11 + 49/71*c_1001_0^10 - 1183/781*c_1001_0^9 - 7424/2343*c_1001_0^8 + 80/71*c_1001_0^7 + 2777/2343*c_1001_0^6 - 7037/2343*c_1001_0^5 + 2188/2343*c_1001_0^4 + 2732/2343*c_1001_0^3 - 730/781*c_1001_0^2 + 2830/2343*c_1001_0 - 202/2343, c_0011_6 - 1130/2343*c_1001_0^11 + 1/71*c_1001_0^10 + 1761/781*c_1001_0^9 + 757/2343*c_1001_0^8 - 165/71*c_1001_0^7 + 1013/2343*c_1001_0^6 + 478/2343*c_1001_0^5 - 1868/2343*c_1001_0^4 + 773/2343*c_1001_0^3 - 509/781*c_1001_0^2 - 1568/2343*c_1001_0 + 1526/2343, c_0101_0 + 1130/2343*c_1001_0^11 - 1/71*c_1001_0^10 - 1761/781*c_1001_0^9 - 757/2343*c_1001_0^8 + 165/71*c_1001_0^7 - 1013/2343*c_1001_0^6 - 478/2343*c_1001_0^5 + 1868/2343*c_1001_0^4 - 773/2343*c_1001_0^3 + 509/781*c_1001_0^2 + 1568/2343*c_1001_0 - 1526/2343, c_0101_1 - 1534/2343*c_1001_0^11 - 19/71*c_1001_0^10 + 1828/781*c_1001_0^9 + 3296/2343*c_1001_0^8 + 11/71*c_1001_0^7 + 1201/2343*c_1001_0^6 - 2905/2343*c_1001_0^5 + 3755/2343*c_1001_0^4 - 203/2343*c_1001_0^3 - 1689/781*c_1001_0^2 + 824/2343*c_1001_0 - 1304/2343, c_1001_0^12 - 1/2*c_1001_0^11 - 9/2*c_1001_0^10 + 5/2*c_1001_0^9 + 4*c_1001_0^8 - 7*c_1001_0^7 + 3/2*c_1001_0^6 + 7/2*c_1001_0^5 - 3*c_1001_0^4 + 2*c_1001_0^3 - 1/2*c_1001_0^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB