Magma V2.19-8 Tue Aug 20 2013 16:17:14 on localhost [Seed = 4189611303] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1469 geometric_solution 5.28793627 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 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 0.301560401090 0.486939554985 3 2 4 0 0132 3012 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 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 0.506796126175 1.011155268247 1 3 0 4 1230 0132 0132 3201 0 0 0 0 0 -1 1 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 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 0.506796126175 1.011155268247 1 2 3 3 0132 0132 1230 3012 0 0 0 0 0 1 -1 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.050852657973 1.167135289939 5 2 5 1 0132 2310 2310 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 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 0.654694506700 1.957546623075 4 4 6 6 0132 3201 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 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 0.271667742625 0.169723899263 5 6 5 6 2310 2310 0132 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 1 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 -1.698439598910 0.486939554985 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_2' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_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_6' : d['c_0011_6'], '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_6' : negation(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_1']), '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_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 36716191/4013829*c_0101_4^17 + 807197270/4013829*c_0101_4^15 - 749142880/445981*c_0101_4^13 + 26784984043/4013829*c_0101_4^11 - 53368141519/4013829*c_0101_4^9 + 18947670734/1337943*c_0101_4^7 - 33397736354/4013829*c_0101_4^5 + 11117566085/4013829*c_0101_4^3 - 1978258382/4013829*c_0101_4, c_0011_0 - 1, c_0011_1 - 17410/445981*c_0101_4^17 + 404772/445981*c_0101_4^15 - 3644249/445981*c_0101_4^13 + 16002368/445981*c_0101_4^11 - 35953844/445981*c_0101_4^9 + 41847824/445981*c_0101_4^7 - 27577529/445981*c_0101_4^5 + 11569159/445981*c_0101_4^3 - 2454215/445981*c_0101_4, c_0011_4 - 36586/445981*c_0101_4^16 + 767298/445981*c_0101_4^14 - 5953284/445981*c_0101_4^12 + 20887445/445981*c_0101_4^10 - 33582176/445981*c_0101_4^8 + 27207849/445981*c_0101_4^6 - 11129683/445981*c_0101_4^4 + 2882370/445981*c_0101_4^2 - 436791/445981, c_0011_6 + 20744/445981*c_0101_4^16 - 429567/445981*c_0101_4^14 + 3264029/445981*c_0101_4^12 - 11049345/445981*c_0101_4^10 + 16838205/445981*c_0101_4^8 - 13970909/445981*c_0101_4^6 + 7438556/445981*c_0101_4^4 - 2817609/445981*c_0101_4^2 + 382795/445981, c_0101_0 + 111924/445981*c_0101_4^16 - 2363216/445981*c_0101_4^14 + 18497573/445981*c_0101_4^12 - 65614131/445981*c_0101_4^10 + 106326628/445981*c_0101_4^8 - 84322967/445981*c_0101_4^6 + 35750162/445981*c_0101_4^4 - 8992266/445981*c_0101_4^2 + 304403/445981, c_0101_1 - 9190/445981*c_0101_4^17 + 238766/445981*c_0101_4^15 - 2458258/445981*c_0101_4^13 + 12689554/445981*c_0101_4^11 - 34396745/445981*c_0101_4^9 + 48185086/445981*c_0101_4^7 - 36048629/445981*c_0101_4^5 + 14217523/445981*c_0101_4^3 - 3015359/445981*c_0101_4, c_0101_4^18 - 22*c_0101_4^16 + 184*c_0101_4^14 - 733*c_0101_4^12 + 1470*c_0101_4^10 - 1589*c_0101_4^8 + 962*c_0101_4^6 - 336*c_0101_4^4 + 63*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB