Magma V2.19-8 Tue Aug 20 2013 16:19:20 on localhost [Seed = 4300038] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3448 geometric_solution 6.63089253 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 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 1 0 -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 1.131323918895 0.921781516732 0 4 2 2 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.319457297589 1.033874202141 5 0 1 1 0132 0132 2031 1302 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 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 0.319457297589 1.033874202141 0 5 4 0 3201 2310 1023 0132 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 1 -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 0.837151345785 0.707975219502 5 1 3 6 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032242701482 0.764313830925 2 4 6 3 0132 1023 0132 3201 0 0 0 0 0 0 0 0 0 0 1 -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 -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 0.032242701482 0.764313830925 6 6 4 5 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408342952489 0.884407459723 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : 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_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], '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_0'], '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' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_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' : d['c_0011_6'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 96511386823/9689605540*c_0101_4^13 + 495970412086/2422401385*c_0101_4^12 + 1316358972241/4844802770*c_0101_4^11 + 653859575403/2422401385*c_0101_4^10 + 1165722349013/4844802770*c_0101_4^9 - 21614488055/968960554*c_0101_4^8 - 596920851452/2422401385*c_0101_4^7 - 813886259724/2422401385*c_0101_4^6 - 2945522977001/9689605540*c_0101_4^5 - 2753972419627/9689605540*c_0101_4^4 - 411978420263/1937921108*c_0101_4^3 - 374486084847/4844802770*c_0101_4^2 - 523277517331/9689605540*c_0101_4 - 45043228323/1937921108, c_0011_0 - 1, c_0011_3 - 243809748/484480277*c_0101_4^13 + 10477051005/968960554*c_0101_4^12 + 3533362587/968960554*c_0101_4^11 + 10216530197/968960554*c_0101_4^10 + 6777099963/968960554*c_0101_4^9 - 6451362495/968960554*c_0101_4^8 - 6433913225/968960554*c_0101_4^7 - 10320740617/968960554*c_0101_4^6 - 9625486753/968960554*c_0101_4^5 - 4088489875/484480277*c_0101_4^4 - 2798683679/968960554*c_0101_4^3 - 192706520/484480277*c_0101_4^2 - 985065178/484480277*c_0101_4 + 1567920165/968960554, c_0011_6 + 1416640083/1937921108*c_0101_4^13 - 15145084973/968960554*c_0101_4^12 - 3425659652/484480277*c_0101_4^11 - 12671429301/968960554*c_0101_4^10 - 4300258084/484480277*c_0101_4^9 + 3849916650/484480277*c_0101_4^8 + 11024315781/968960554*c_0101_4^7 + 14470962995/968960554*c_0101_4^6 + 25384481635/1937921108*c_0101_4^5 + 26080326147/1937921108*c_0101_4^4 + 10333272445/1937921108*c_0101_4^3 + 331311147/968960554*c_0101_4^2 + 4709600591/1937921108*c_0101_4 - 2803235291/1937921108, c_0101_0 + 969111173/968960554*c_0101_4^13 - 20762970663/968960554*c_0101_4^12 - 8757921787/968960554*c_0101_4^11 - 11155854253/968960554*c_0101_4^10 - 5528492037/968960554*c_0101_4^9 + 16530400305/968960554*c_0101_4^8 + 19680207605/968960554*c_0101_4^7 + 15383312283/968960554*c_0101_4^6 + 4524562601/484480277*c_0101_4^5 + 8485112343/968960554*c_0101_4^4 + 521332592/484480277*c_0101_4^3 - 2052222527/484480277*c_0101_4^2 + 1368845497/968960554*c_0101_4 - 586981854/484480277, c_0101_1 + 1719200247/1937921108*c_0101_4^13 - 9134428994/484480277*c_0101_4^12 - 10894192661/968960554*c_0101_4^11 - 6008885541/484480277*c_0101_4^10 - 9405516605/968960554*c_0101_4^9 + 11620627983/968960554*c_0101_4^8 + 8509282677/484480277*c_0101_4^7 + 8362603870/484480277*c_0101_4^6 + 26098364721/1937921108*c_0101_4^5 + 23657187607/1937921108*c_0101_4^4 + 10942852015/1937921108*c_0101_4^3 - 1562074661/968960554*c_0101_4^2 + 3927094319/1937921108*c_0101_4 - 1137025421/1937921108, c_0101_2 + 1719200247/1937921108*c_0101_4^13 - 9134428994/484480277*c_0101_4^12 - 10894192661/968960554*c_0101_4^11 - 6008885541/484480277*c_0101_4^10 - 9405516605/968960554*c_0101_4^9 + 11620627983/968960554*c_0101_4^8 + 8509282677/484480277*c_0101_4^7 + 8362603870/484480277*c_0101_4^6 + 26098364721/1937921108*c_0101_4^5 + 23657187607/1937921108*c_0101_4^4 + 10942852015/1937921108*c_0101_4^3 - 1562074661/968960554*c_0101_4^2 + 3927094319/1937921108*c_0101_4 - 1137025421/1937921108, c_0101_4^14 - 21*c_0101_4^13 - 18*c_0101_4^12 - 18*c_0101_4^11 - 18*c_0101_4^10 + 8*c_0101_4^9 + 22*c_0101_4^8 + 24*c_0101_4^7 + 23*c_0101_4^6 + 22*c_0101_4^5 + 12*c_0101_4^4 + c_0101_4^3 + 3*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB