Magma V2.19-8 Tue Aug 20 2013 16:17:57 on localhost [Seed = 1225315724] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2183 geometric_solution 5.64442941 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 2310 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.139052717634 0.994125164990 0 0 3 2 3201 0132 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 -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 0.557506858868 0.868405057437 4 3 1 5 0132 2031 0132 0132 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 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 0.687654301403 0.377679481826 2 4 6 1 1302 2310 0132 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 -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 0.687654301403 0.377679481826 2 6 5 3 0132 1230 1230 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.653955350490 0.297489466725 6 6 2 4 0213 3120 0132 3012 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 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 0.661703866789 1.428542235478 5 5 4 3 0213 3120 3012 0132 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 0 0 0 0 1 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 0.661703866789 1.428542235478 ==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' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(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_1001_4']), 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_1001_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0011_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_5, c_0011_6, c_0101_1, c_0101_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 8562103181/3605183792*c_1001_4^8 - 49399007285/1802591896*c_1001_4^7 - 337269182501/3605183792*c_1001_4^6 - 780721368569/3605183792*c_1001_4^5 - 1673616037865/3605183792*c_1001_4^4 - 1290687838379/1802591896*c_1001_4^3 + 238047048789/1802591896*c_1001_4^2 - 326270946087/901295948*c_1001_4 + 4661252353/225323987, c_0011_0 - 1, c_0011_2 + 801365/515026256*c_0101_1*c_1001_4^8 + 6906077/257513128*c_0101_1*c_1001_4^7 + 83451487/515026256*c_0101_1*c_1001_4^6 + 243089565/515026256*c_0101_1*c_1001_4^5 + 527934171/515026256*c_0101_1*c_1001_4^4 + 244724923/128756564*c_0101_1*c_1001_4^3 + 261109035/128756564*c_0101_1*c_1001_4^2 - 74905969/64378282*c_0101_1*c_1001_4 + 12353050/32189141*c_0101_1, c_0011_5 - 857821/64378282*c_1001_4^8 - 37953071/257513128*c_1001_4^7 - 28822441/64378282*c_1001_4^6 - 236292445/257513128*c_1001_4^5 - 471345977/257513128*c_1001_4^4 - 599574403/257513128*c_1001_4^3 + 428440399/128756564*c_1001_4^2 - 90805919/64378282*c_1001_4 + 9206277/32189141, c_0011_6 + 857821/64378282*c_1001_4^8 + 37953071/257513128*c_1001_4^7 + 28822441/64378282*c_1001_4^6 + 236292445/257513128*c_1001_4^5 + 471345977/257513128*c_1001_4^4 + 599574403/257513128*c_1001_4^3 - 428440399/128756564*c_1001_4^2 + 90805919/64378282*c_1001_4 - 9206277/32189141, c_0101_1^2 - 7589/128756564*c_1001_4^8 + 33235/32189141*c_1001_4^7 + 377661/32189141*c_1001_4^6 - 64729/128756564*c_1001_4^5 - 1223998/32189141*c_1001_4^4 - 2790667/128756564*c_1001_4^3 - 12185095/128756564*c_1001_4^2 - 14337604/32189141*c_1001_4 - 12299390/32189141, c_0101_2 - 7589/128756564*c_1001_4^8 + 33235/32189141*c_1001_4^7 + 377661/32189141*c_1001_4^6 - 64729/128756564*c_1001_4^5 - 1223998/32189141*c_1001_4^4 - 2790667/128756564*c_1001_4^3 - 12185095/128756564*c_1001_4^2 - 14337604/32189141*c_1001_4 + 19889751/32189141, c_1001_4^9 + 11*c_1001_4^8 + 33*c_1001_4^7 + 68*c_1001_4^6 + 140*c_1001_4^5 + 183*c_1001_4^4 - 244*c_1001_4^3 + 148*c_1001_4^2 - 48*c_1001_4 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB