Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 307465968] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0525 geometric_solution 4.53906403 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 -1 0 0 0 1 -1 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 -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 0.571843456622 0.478852050542 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 -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 1.400223569425 0.381921657188 1 3 3 4 0132 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 1.137496824288 0.577236885872 4 2 2 1 0132 1230 3012 0132 0 0 0 0 0 -1 0 1 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 -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 1.137496824288 0.577236885872 3 5 2 5 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 1 -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 1.220255396624 0.323271547813 6 4 6 4 0132 0132 1023 1023 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 -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 0.913086348362 0.258491477715 5 6 5 6 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 1 -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 0.864792465149 0.162146310129 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : 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' : 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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], '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' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], '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' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_1'], '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_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_6'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 85876647944837539743/1935158358429437074912*c_0101_6^11 - 75219512240178728387/120947397401839817182*c_0101_6^10 - 5722687401643064744477/1935158358429437074912*c_0101_6^9 + 3539542524184815151009/483789589607359268728*c_0101_6^8 + 247381810294597651561/4170599910408269558*c_0101_6^7 + 60482115739554775469461/483789589607359268728*c_0101_6^6 + 241062534440458519505407/1935158358429437074912*c_0101_6^5 + 139467833852642807660523/1935158358429437074912*c_0101_6^4 + 37904576140434682733275/967579179214718537456*c_0101_6^3 + 44161141957160524294525/1935158358429437074912*c_0101_6^2 + 551104721324429842815/66729598566532312928*c_0101_6 + 5956469263185974674161/1935158358429437074912, c_0011_0 - 1, c_0011_1 - 24914997127077/643809804014861*c_0101_6^11 + 388339726775905/643809804014861*c_0101_6^10 + 1049080804991041/643809804014861*c_0101_6^9 - 5722532355165423/643809804014861*c_0101_6^8 - 24657099951030172/643809804014861*c_0101_6^7 - 32390756569318449/643809804014861*c_0101_6^6 - 14295937812605773/643809804014861*c_0101_6^5 + 1997093962014874/643809804014861*c_0101_6^4 + 1953803398750219/643809804014861*c_0101_6^3 - 1549457346880495/643809804014861*c_0101_6^2 - 744285174319508/643809804014861*c_0101_6 + 917514819164455/643809804014861, c_0101_0 + 5100175375398/643809804014861*c_0101_6^11 - 110777151733144/643809804014861*c_0101_6^10 + 285805490573145/643809804014861*c_0101_6^9 + 2249664707682349/643809804014861*c_0101_6^8 - 2055834056033727/643809804014861*c_0101_6^7 - 20704779532102282/643809804014861*c_0101_6^6 - 34001763152969437/643809804014861*c_0101_6^5 - 24959460409113675/643809804014861*c_0101_6^4 - 9490971674648925/643809804014861*c_0101_6^3 - 1970351910096015/643809804014861*c_0101_6^2 - 1975259480899601/643809804014861*c_0101_6 - 1661986287712422/643809804014861, c_0101_1 - 10948332316423/643809804014861*c_0101_6^11 + 163686754923455/643809804014861*c_0101_6^10 + 578942311095966/643809804014861*c_0101_6^9 - 2383607076216222/643809804014861*c_0101_6^8 - 12579536208234393/643809804014861*c_0101_6^7 - 18764014031822346/643809804014861*c_0101_6^6 - 9589389897186980/643809804014861*c_0101_6^5 + 796435669272271/643809804014861*c_0101_6^4 + 1461586436149566/643809804014861*c_0101_6^3 - 775204801889975/643809804014861*c_0101_6^2 - 295740219960862/643809804014861*c_0101_6 + 1332719435476703/643809804014861, c_0101_3 + 9125201850962/643809804014861*c_0101_6^11 - 142192375623489/643809804014861*c_0101_6^10 - 381825599092752/643809804014861*c_0101_6^9 + 2037317368070696/643809804014861*c_0101_6^8 + 9100147909991474/643809804014861*c_0101_6^7 + 12521641151049099/643809804014861*c_0101_6^6 + 5697765189654519/643809804014861*c_0101_6^5 + 183458117272049/643809804014861*c_0101_6^4 + 1814217455646736/643809804014861*c_0101_6^3 + 2107354489304434/643809804014861*c_0101_6^2 + 701739664010502/643809804014861*c_0101_6 - 322279230199231/643809804014861, c_0101_5 - 2343883165015/643809804014861*c_0101_6^11 + 38294652137912/643809804014861*c_0101_6^10 + 80558593395438/643809804014861*c_0101_6^9 - 778190512900767/643809804014861*c_0101_6^8 - 1947965106801265/643809804014861*c_0101_6^7 + 958136179679909/643809804014861*c_0101_6^6 + 5134901431040193/643809804014861*c_0101_6^5 + 3540911791915295/643809804014861*c_0101_6^4 + 635706346912242/643809804014861*c_0101_6^3 - 364465121337466/643809804014861*c_0101_6^2 + 186583095190992/643809804014861*c_0101_6 + 363700284689455/643809804014861, c_0101_6^12 - 16*c_0101_6^11 - 35*c_0101_6^10 + 236*c_0101_6^9 + 880*c_0101_6^8 + 1052*c_0101_6^7 + 497*c_0101_6^6 + 133*c_0101_6^5 + 138*c_0101_6^4 + 131*c_0101_6^3 + 45*c_0101_6^2 - 17*c_0101_6 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB