Magma V2.19-8 Tue Aug 20 2013 16:16:17 on localhost [Seed = 2134827933] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0546 geometric_solution 4.56856623 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 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 0 1 -1 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 -0.857962444572 0.981558678505 0 3 5 4 0132 2310 0132 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 -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 0.355026770788 0.366445229363 0 0 2 2 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.248329400916 0.231324343798 6 4 0 1 0132 1023 0132 3201 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 1 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 0.355026770788 0.366445229363 3 5 1 6 1023 3012 0132 2103 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 1 0 -1 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 0.941909625232 0.336416109312 4 6 6 1 1230 0213 2310 0132 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 -1 1 -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 1.309117296735 1.102439759757 3 5 5 4 0132 3201 0213 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.309117296735 1.102439759757 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : 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_5, c_0101_0, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 877445/4717*c_0110_4^8 + 4022308/4717*c_0110_4^7 + 8438482/4717*c_0110_4^6 + 7449626/4717*c_0110_4^5 + 2357931/4717*c_0110_4^4 + 1526064/4717*c_0110_4^3 + 485539/4717*c_0110_4^2 - 828997/4717*c_0110_4 - 290565/4717, c_0011_0 - 1, c_0011_3 + 3640/4717*c_0110_4^8 + 26496/4717*c_0110_4^7 + 81311/4717*c_0110_4^6 + 138350/4717*c_0110_4^5 + 133492/4717*c_0110_4^4 + 97827/4717*c_0110_4^3 + 64858/4717*c_0110_4^2 + 25867/4717*c_0110_4 + 9019/4717, c_0011_5 + c_0110_4, c_0101_0 + 41455/4717*c_0110_4^8 + 213377/4717*c_0110_4^7 + 523523/4717*c_0110_4^6 + 664201/4717*c_0110_4^5 + 512811/4717*c_0110_4^4 + 363935/4717*c_0110_4^3 + 207094/4717*c_0110_4^2 + 71617/4717*c_0110_4 + 19228/4717, c_0101_2 + 51360/4717*c_0110_4^8 + 256449/4717*c_0110_4^7 + 615927/4717*c_0110_4^6 + 759739/4717*c_0110_4^5 + 587782/4717*c_0110_4^4 + 430708/4717*c_0110_4^3 + 233455/4717*c_0110_4^2 + 85900/4717*c_0110_4 + 25401/4717, c_0101_5 - 9905/4717*c_0110_4^8 - 43072/4717*c_0110_4^7 - 92404/4717*c_0110_4^6 - 95538/4717*c_0110_4^5 - 74971/4717*c_0110_4^4 - 66773/4717*c_0110_4^3 - 26361/4717*c_0110_4^2 - 14283/4717*c_0110_4 - 1456/4717, c_0110_4^9 + 27/5*c_0110_4^8 + 14*c_0110_4^7 + 98/5*c_0110_4^6 + 87/5*c_0110_4^5 + 66/5*c_0110_4^4 + 41/5*c_0110_4^3 + 18/5*c_0110_4^2 + 6/5*c_0110_4 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB