Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 880125993] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s681 geometric_solution 5.17895707 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 -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 0.261239505674 0.226360796953 2 0 3 0 0132 2310 0132 0132 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 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 0.552386704870 1.668105019545 1 4 5 3 0132 0132 0132 1230 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 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508693373973 1.250997706289 2 5 4 1 3012 3201 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508693373973 1.250997706289 3 2 4 4 2310 0132 2031 1302 0 0 0 0 0 -1 1 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 1 -1 0 0 1 -1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393589411694 0.330166474591 5 5 3 2 1302 2031 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446842282988 0.845281412640 ==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' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], '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_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 356003821809163773212335/141116658658793605964572*c_0101_3^18 + 4089759681560566387913082/35279164664698401491143*c_0101_3^16 + 45604834232547206262212401/70558329329396802982286*c_0101_3^14 + 17967604753200861123994189/3207196787699854681013*c_0101_3^12 - 1232506789022723771974812573/141116658658793605964572*c_0101_3^10 + 736297951443726828882524300/35279164664698401491143*c_0101_3^8 - 789165458163318260093168971/35279164664698401491143*c_0101_3^6 + 2081966217234119717813194699/141116658658793605964572*c_0101_3^4 - 203824759475020175860703328/35279164664698401491143*c_0101_3^2 + 28472642597109135804249159/35279164664698401491143, c_0011_0 - 1, c_0011_1 - 23653919847458086583/3207196787699854681013*c_0101_3^18 + 1076890651940676178835/3207196787699854681013*c_0101_3^16 + 6516301998473344251075/3207196787699854681013*c_0101_3^14 + 55366114289892804327094/3207196787699854681013*c_0101_3^12 - 57934450873265136255498/3207196787699854681013*c_0101_3^10 + 174640363958384618010544/3207196787699854681013*c_0101_3^8 - 139072794582109178126452/3207196787699854681013*c_0101_3^6 + 87214581887871059464353/3207196787699854681013*c_0101_3^4 - 20727225409818615043173/3207196787699854681013*c_0101_3^2 - 1684988806509381037805/3207196787699854681013, c_0011_3 + 13690297750623813162/3207196787699854681013*c_0101_3^18 - 627112607572016106052/3207196787699854681013*c_0101_3^16 - 3597336169358446798148/3207196787699854681013*c_0101_3^14 - 30965278901790295929348/3207196787699854681013*c_0101_3^12 + 42574972302318467217091/3207196787699854681013*c_0101_3^10 - 109754518422806664254934/3207196787699854681013*c_0101_3^8 + 104554264666591120356266/3207196787699854681013*c_0101_3^6 - 65896153284772918549846/3207196787699854681013*c_0101_3^4 + 19060990590136859627539/3207196787699854681013*c_0101_3^2 - 378858889480612581899/3207196787699854681013, c_0011_5 - 6682232927628670250/3207196787699854681013*c_0101_3^18 + 300728624415777455395/3207196787699854681013*c_0101_3^16 + 2000338954743111950524/3207196787699854681013*c_0101_3^14 + 16582187217591074990050/3207196787699854681013*c_0101_3^12 - 8309086660862584446378/3207196787699854681013*c_0101_3^10 + 39819771781298994034552/3207196787699854681013*c_0101_3^8 - 11553037101502450198613/3207196787699854681013*c_0101_3^6 + 3485218798277950020755/3207196787699854681013*c_0101_3^4 + 9021471186599015364202/3207196787699854681013*c_0101_3^2 - 2058404205194884072157/3207196787699854681013, c_0101_0 - 121172447266926465119/6414393575399709362026*c_0101_3^19 + 2789719616486634844270/3207196787699854681013*c_0101_3^17 + 15267157658305108186822/3207196787699854681013*c_0101_3^15 + 132853501822344173536362/3207196787699854681013*c_0101_3^13 - 447753732316504452525615/6414393575399709362026*c_0101_3^11 + 508055606437325961008244/3207196787699854681013*c_0101_3^9 - 575514160200397305688739/3207196787699854681013*c_0101_3^7 + 743259499118613279195593/6414393575399709362026*c_0101_3^5 - 152237710208157042361934/3207196787699854681013*c_0101_3^3 + 21176353732214824140923/3207196787699854681013*c_0101_3, c_0101_3^20 - 46*c_0101_3^18 - 254*c_0101_3^16 - 2208*c_0101_3^14 + 3571*c_0101_3^12 - 8422*c_0101_3^10 + 9240*c_0101_3^8 - 6213*c_0101_3^6 + 2510*c_0101_3^4 - 392*c_0101_3^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB