Magma V2.19-8 Tue Aug 20 2013 16:15:50 on localhost [Seed = 4155927517] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0055 geometric_solution 3.61722871 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 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 0 0 0 1 0 -1 2 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 0.266351495930 0.503440700109 0 2 3 4 0132 2310 2310 3120 0 0 0 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 0 0 0 0 0 0 -2 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 0.209760427314 0.101117079659 5 0 5 1 0132 0132 1023 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 -3.750232264628 10.697976421800 4 1 4 0 3120 3201 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 -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 0.796602723227 0.408813146033 1 3 0 3 3120 3201 0132 3120 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796602723227 0.408813146033 2 6 2 6 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329647738743 0.149218656413 5 5 6 6 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446528309831 0.037489741653 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0011_4']})} 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_4, c_0101_0, c_0101_2, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 96112784950805/4066156933446656*c_1001_0^15 - 303289156831927/508269616680832*c_1001_0^13 - 17329686713779769/4066156933446656*c_1001_0^11 + 9579359827117063/1016539233361664*c_1001_0^9 + 21393032590941773/2033078466723328*c_1001_0^7 - 13108647358027225/1016539233361664*c_1001_0^5 - 67330741562632349/4066156933446656*c_1001_0^3 - 82308053305859/127067404170208*c_1001_0, c_0011_0 - 1, c_0011_3 - 573286384033/254134808340416*c_1001_0^15 - 1806641743359/31766851042552*c_1001_0^13 - 102738692142133/254134808340416*c_1001_0^11 + 58815472229315/63533702085104*c_1001_0^9 + 131453432662937/127067404170208*c_1001_0^7 - 117278116909349/63533702085104*c_1001_0^5 - 452892063153033/254134808340416*c_1001_0^3 + 7080791587662/3970856380319*c_1001_0, c_0011_4 - 52837266609/31766851042552*c_1001_0^14 - 161954717739/3970856380319*c_1001_0^12 - 8585718951453/31766851042552*c_1001_0^10 + 6834383654925/7941712760638*c_1001_0^8 + 1741012100745/15883425521276*c_1001_0^6 - 10159084380223/7941712760638*c_1001_0^4 + 4946016801279/31766851042552*c_1001_0^2 + 2581039007405/3970856380319, c_0101_0 - 29342807097/7941712760638*c_1001_0^14 - 365513443566/3970856380319*c_1001_0^12 - 5051305554489/7941712760638*c_1001_0^10 + 6641387171270/3970856380319*c_1001_0^8 + 3820450529745/3970856380319*c_1001_0^6 - 11027613411359/3970856380319*c_1001_0^4 - 13566765400831/7941712760638*c_1001_0^2 + 7967050631577/3970856380319, c_0101_2 + 36433867611/63533702085104*c_1001_0^15 + 212754858081/15883425521276*c_1001_0^13 + 4762982144631/63533702085104*c_1001_0^11 - 3582070818615/7941712760638*c_1001_0^9 - 123051032411/31766851042552*c_1001_0^7 + 21891959245737/15883425521276*c_1001_0^5 - 19397978507437/63533702085104*c_1001_0^3 - 25231721249193/15883425521276*c_1001_0, c_0110_6 - 71295687479/63533702085104*c_1001_0^14 - 229851169049/7941712760638*c_1001_0^12 - 13851314365315/63533702085104*c_1001_0^10 + 5273048541385/15883425521276*c_1001_0^8 + 22611688131895/31766851042552*c_1001_0^6 - 3348959429239/15883425521276*c_1001_0^4 - 42574616040943/63533702085104*c_1001_0^2 - 1303979426687/3970856380319, c_1001_0^16 + 24*c_1001_0^14 + 149*c_1001_0^12 - 620*c_1001_0^10 + 78*c_1001_0^8 + 1108*c_1001_0^6 - 151*c_1001_0^4 - 992*c_1001_0^2 + 512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB