Magma V2.19-8 Tue Aug 20 2013 16:14:43 on localhost [Seed = 2850567605] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s692 geometric_solution 5.19524039 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 0 -1 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 0.186608002677 0.673015639085 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 1 -1 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 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712741654407 1.230177886289 1 3 0 4 1230 2310 0132 3201 0 0 0 0 0 -1 1 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 -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 0.712741654407 1.230177886289 1 3 3 2 0132 3201 2310 3201 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 0 -1 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630191690663 0.673254889422 5 2 5 1 0132 2310 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319961404053 1.174465093007 4 4 5 5 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459190308740 0.132974812203 ==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' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 3*c_0101_4^2 + c_0101_4 - 8, c_0011_0 - 1, c_0011_1 + c_0101_4^2 - 1, c_0011_4 - c_0101_4^2 + 1, c_0101_0 - c_0101_4, c_0101_1 + 1, c_0101_4^3 + c_0101_4^2 - 2*c_0101_4 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 417923198482/34621991875*c_0101_4^13 + 4158299084291/34621991875*c_0101_4^12 + 355049566121/6924398375*c_0101_4^11 - 38125026798248/34621991875*c_0101_4^10 - 24402650316287/69243983750*c_0101_4^9 + 198447297095329/69243983750*c_0101_4^8 + 26238727290618/6924398375*c_0101_4^7 + 4591440344168/34621991875*c_0101_4^6 - 172839734054649/69243983750*c_0101_4^5 - 117975996144721/69243983750*c_0101_4^4 - 7811007447079/69243983750*c_0101_4^3 + 767786904741/2769759350*c_0101_4^2 + 1049087180362/6924398375*c_0101_4 + 2178762263087/69243983750, c_0011_0 - 1, c_0011_1 + 3070083333/6924398375*c_0101_4^13 - 32156935854/6924398375*c_0101_4^12 + 1578423347/2769759350*c_0101_4^11 + 553643066899/13848796750*c_0101_4^10 - 56915555311/6924398375*c_0101_4^9 - 1370541090651/13848796750*c_0101_4^8 - 239731596909/2769759350*c_0101_4^7 + 235112513358/6924398375*c_0101_4^6 + 494785958103/6924398375*c_0101_4^5 + 180412489712/6924398375*c_0101_4^4 - 147103793399/13848796750*c_0101_4^3 - 2149017299/276975935*c_0101_4^2 - 119714821/2769759350*c_0101_4 - 952721614/6924398375, c_0011_4 - 2378020221/6924398375*c_0101_4^13 + 49682672271/13848796750*c_0101_4^12 - 119877962/1384879675*c_0101_4^11 - 468469480063/13848796750*c_0101_4^10 + 108836853239/13848796750*c_0101_4^9 + 685968910706/6924398375*c_0101_4^8 + 64345658429/1384879675*c_0101_4^7 - 499237898271/6924398375*c_0101_4^6 - 791867197497/13848796750*c_0101_4^5 + 95430334006/6924398375*c_0101_4^4 + 87681419044/6924398375*c_0101_4^3 - 277167071/276975935*c_0101_4^2 - 325040264/1384879675*c_0101_4 + 5275174161/13848796750, c_0101_0 + 8117475607/13848796750*c_0101_4^13 - 82512203041/13848796750*c_0101_4^12 - 4000365921/2769759350*c_0101_4^11 + 779692059873/13848796750*c_0101_4^10 + 56663751081/13848796750*c_0101_4^9 - 1117639025551/6924398375*c_0101_4^8 - 192279033259/1384879675*c_0101_4^7 + 1057272513207/13848796750*c_0101_4^6 + 914113923256/6924398375*c_0101_4^5 + 316366662673/13848796750*c_0101_4^4 - 373202874273/13848796750*c_0101_4^3 - 2364299154/276975935*c_0101_4^2 + 1093161163/2769759350*c_0101_4 + 1351899322/6924398375, c_0101_1 - 6378134289/13848796750*c_0101_4^13 + 67705557957/13848796750*c_0101_4^12 - 2910087363/2769759350*c_0101_4^11 - 304382997548/6924398375*c_0101_4^10 + 116201502744/6924398375*c_0101_4^9 + 836597698052/6924398375*c_0101_4^8 + 146630019361/2769759350*c_0101_4^7 - 608593691307/6924398375*c_0101_4^6 - 446582126912/6924398375*c_0101_4^5 + 241655461679/13848796750*c_0101_4^4 + 241459869221/13848796750*c_0101_4^3 - 814171933/553951870*c_0101_4^2 - 3263332691/2769759350*c_0101_4 - 1145296713/13848796750, c_0101_4^14 - 10*c_0101_4^13 - 4*c_0101_4^12 + 94*c_0101_4^11 + 25*c_0101_4^10 - 262*c_0101_4^9 - 303*c_0101_4^8 + 66*c_0101_4^7 + 269*c_0101_4^6 + 112*c_0101_4^5 - 47*c_0101_4^4 - 42*c_0101_4^3 - 5*c_0101_4^2 + 2*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB