Magma V2.19-8 Tue Aug 20 2013 16:18:52 on localhost [Seed = 4139215744] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3029 geometric_solution 6.20139298 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 1 -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 0 0 0 0 1 0 -1 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 0.435625614362 1.015678532330 0 2 4 3 0132 3201 0132 0132 1 0 0 0 0 0 -1 1 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 -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 0.123188786770 0.967558765146 4 3 1 0 2310 2310 2310 0132 0 0 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 0 0 0 0 0 0 0 1 0 0 -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 0.123188786770 0.967558765146 5 4 1 2 0132 0132 0132 3201 1 0 0 0 0 1 -1 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 -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 -0.129489017801 1.017042520253 5 3 2 1 2310 0132 3201 0132 1 0 0 0 0 -1 0 1 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 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.129489017801 1.017042520253 3 6 4 6 0132 0132 3201 2310 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 1 -1 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 0.711851791349 1.395450707724 5 5 6 6 3201 0132 1230 3012 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298950794865 0.246810787017 ==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_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' : d['c_0110_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(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_6' : negation(d['c_0101_0']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : 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_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 94647343/55512897*c_0110_6^10 - 377679644/55512897*c_0110_6^9 - 1132183648/55512897*c_0110_6^8 - 893112575/18504299*c_0110_6^7 - 5643959314/55512897*c_0110_6^6 - 3163162659/37008598*c_0110_6^5 - 9056514463/55512897*c_0110_6^4 - 2000260393/37008598*c_0110_6^3 - 5382012269/55512897*c_0110_6^2 - 216216879/18504299*c_0110_6 - 1630361905/111025794, c_0011_0 - 1, c_0011_2 - 34885/1682209*c_0110_6^10 + 206642/1682209*c_0110_6^9 - 30650/1682209*c_0110_6^8 + 1035977/1682209*c_0110_6^7 + 1877059/1682209*c_0110_6^6 + 303576/1682209*c_0110_6^5 + 6076185/1682209*c_0110_6^4 - 4705400/1682209*c_0110_6^3 + 9393849/1682209*c_0110_6^2 - 4151380/1682209*c_0110_6 + 2954171/1682209, c_0011_3 + 107447/1682209*c_0110_6^10 - 799164/1682209*c_0110_6^9 + 154680/1682209*c_0110_6^8 + 1870538/1682209*c_0110_6^7 + 3325090/1682209*c_0110_6^6 + 13128696/1682209*c_0110_6^5 + 809085/1682209*c_0110_6^4 + 16671926/1682209*c_0110_6^3 - 2392378/1682209*c_0110_6^2 + 5025857/1682209*c_0110_6 + 103316/1682209, c_0101_0 + 114071/1682209*c_0110_6^10 - 303769/1682209*c_0110_6^9 - 1870351/1682209*c_0110_6^8 - 5694814/1682209*c_0110_6^7 - 11408151/1682209*c_0110_6^6 - 13360822/1682209*c_0110_6^5 - 15716494/1682209*c_0110_6^4 - 6652679/1682209*c_0110_6^3 - 7493542/1682209*c_0110_6^2 + 1742056/1682209*c_0110_6 - 614538/1682209, c_0101_1 + 79186/1682209*c_0110_6^10 - 97127/1682209*c_0110_6^9 - 1901001/1682209*c_0110_6^8 - 4658837/1682209*c_0110_6^7 - 9531092/1682209*c_0110_6^6 - 13057246/1682209*c_0110_6^5 - 9640309/1682209*c_0110_6^4 - 11358079/1682209*c_0110_6^3 + 1900307/1682209*c_0110_6^2 - 2409324/1682209*c_0110_6 + 2339633/1682209, c_0101_2 + 1, c_0110_6^11 - 4*c_0110_6^10 - 12*c_0110_6^9 - 28*c_0110_6^8 - 58*c_0110_6^7 - 46*c_0110_6^6 - 88*c_0110_6^5 - 22*c_0110_6^4 - 47*c_0110_6^3 + c_0110_6^2 - 5*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB