Magma V2.19-8 Tue Aug 20 2013 16:19:09 on localhost [Seed = 492601446] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3283 geometric_solution 6.40523254 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 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 -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 0.839745994824 0.632243810232 0 4 5 0 0132 0132 0132 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.132200060468 1.181522250253 3 3 5 0 1302 1023 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641339053416 0.520324254651 2 2 0 4 1023 2031 0132 1302 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 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 0.641339053416 0.520324254651 6 1 3 5 0132 0132 2031 3201 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 1 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 0.059693383576 0.762879379836 2 4 6 1 2031 2310 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.059693383576 0.762879379836 4 5 6 6 0132 3201 2031 1302 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 0 1 -1 -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 0.307659254223 0.522923744878 ==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_0101_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0110_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0110_3'], 'c_1010_1' : negation(d['c_0110_3']), '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_2, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 5071248/31975*c_0110_3^13 - 22843293/31975*c_0110_3^12 + 11062933/31975*c_0110_3^11 + 11778367/6395*c_0110_3^10 - 49555524/31975*c_0110_3^9 - 53658222/31975*c_0110_3^8 + 66485666/31975*c_0110_3^7 - 5429087/31975*c_0110_3^6 - 54755491/31975*c_0110_3^5 + 40888141/31975*c_0110_3^4 + 32300514/31975*c_0110_3^3 - 21179819/31975*c_0110_3^2 - 7475684/31975*c_0110_3 + 3808104/31975, c_0011_0 - 1, c_0011_2 + 53784/1279*c_0110_3^13 - 239391/1279*c_0110_3^12 + 111222/1279*c_0110_3^11 + 598321/1279*c_0110_3^10 - 466788/1279*c_0110_3^9 - 536126/1279*c_0110_3^8 + 604131/1279*c_0110_3^7 - 53538/1279*c_0110_3^6 - 515777/1279*c_0110_3^5 + 370139/1279*c_0110_3^4 + 325893/1279*c_0110_3^3 - 159115/1279*c_0110_3^2 - 70870/1279*c_0110_3 + 24880/1279, c_0101_0 + 10554/1279*c_0110_3^13 - 50557/1279*c_0110_3^12 + 43586/1279*c_0110_3^11 + 81019/1279*c_0110_3^10 - 102362/1279*c_0110_3^9 - 33189/1279*c_0110_3^8 + 90141/1279*c_0110_3^7 - 62723/1279*c_0110_3^6 - 42393/1279*c_0110_3^5 + 66816/1279*c_0110_3^4 + 19002/1279*c_0110_3^3 - 11020/1279*c_0110_3^2 + 1857/1279*c_0110_3 - 1361/1279, c_0101_1 + c_0110_3, c_0101_4 - 16746/1279*c_0110_3^13 + 79381/1279*c_0110_3^12 - 60428/1279*c_0110_3^11 - 153977/1279*c_0110_3^10 + 171902/1279*c_0110_3^9 + 101156/1279*c_0110_3^8 - 179258/1279*c_0110_3^7 + 63858/1279*c_0110_3^6 + 114289/1279*c_0110_3^5 - 122731/1279*c_0110_3^4 - 62798/1279*c_0110_3^3 + 44945/1279*c_0110_3^2 + 12632/1279*c_0110_3 - 4474/1279, c_0101_6 + 31944/1279*c_0110_3^13 - 143882/1279*c_0110_3^12 + 78915/1279*c_0110_3^11 + 326166/1279*c_0110_3^10 - 272701/1279*c_0110_3^9 - 263659/1279*c_0110_3^8 + 319290/1279*c_0110_3^7 - 63802/1279*c_0110_3^6 - 255369/1279*c_0110_3^5 + 201107/1279*c_0110_3^4 + 161970/1279*c_0110_3^3 - 67020/1279*c_0110_3^2 - 30275/1279*c_0110_3 + 7809/1279, c_0110_3^14 - 11/3*c_0110_3^13 - 4/3*c_0110_3^12 + 37/3*c_0110_3^11 + 1/3*c_0110_3^10 - 16*c_0110_3^9 + 8/3*c_0110_3^8 + 22/3*c_0110_3^7 - 29/3*c_0110_3^6 - c_0110_3^5 + 11*c_0110_3^4 + 7/3*c_0110_3^3 - 10/3*c_0110_3^2 - 2/3*c_0110_3 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB