Magma V2.19-8 Tue Aug 20 2013 16:19:06 on localhost [Seed = 610646366] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3232 geometric_solution 6.36199456 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412200647995 0.524619605205 0 5 4 2 0132 0132 3012 2103 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 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 0.946942705660 0.845160353955 2 0 2 1 2310 0132 3201 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758375270815 0.450881396489 6 5 5 0 0132 3201 1230 0132 0 0 0 0 0 1 0 -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 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 0.242365730195 1.466977716010 6 1 0 6 3012 1230 0132 0321 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 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 0.622338922094 1.372327940137 6 1 3 3 2031 0132 2310 3012 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 -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 0.890370185976 0.663561197590 3 4 5 4 0132 0321 1302 1230 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 0 0 0 0 0.457281985393 0.423376064054 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_1_6' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), '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_3, c_0011_4, c_0101_1, c_0101_2, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 12304867365796448/67388208674721075*c_1001_0^15 - 2705259423588626/7487578741635675*c_1001_0^14 + 683346518319499/2695528346988843*c_1001_0^13 + 14356746693143333/13477641734944215*c_1001_0^12 + 155106101815271612/67388208674721075*c_1001_0^11 - 1535855130878404/4492547244981405*c_1001_0^10 - 171210952868355842/67388208674721075*c_1001_0^9 - 172895062779833167/67388208674721075*c_1001_0^8 - 46148212553176588/67388208674721075*c_1001_0^7 + 99330273930330709/22462736224907025*c_1001_0^6 - 210815487991759141/67388208674721075*c_1001_0^5 - 293060438764211431/67388208674721075*c_1001_0^4 - 419745174787825306/67388208674721075*c_1001_0^3 + 136160102911154056/67388208674721075*c_1001_0^2 + 163611081765540419/22462736224907025*c_1001_0 + 12417489938564612/7487578741635675, c_0011_0 - 1, c_0011_3 - 42509707733437/1497515748327135*c_1001_0^15 - 38721859090499/998343832218090*c_1001_0^14 + 60322667383307/599006299330854*c_1001_0^13 + 124040527824473/599006299330854*c_1001_0^12 + 414606475208023/1497515748327135*c_1001_0^11 - 10604357836954/33278127740603*c_1001_0^10 - 2194476895895741/2995031496654270*c_1001_0^9 - 849692813591783/1497515748327135*c_1001_0^8 + 73487960614888/1497515748327135*c_1001_0^7 + 302406815673609/332781277406030*c_1001_0^6 - 656522977509673/2995031496654270*c_1001_0^5 - 1047714861369583/2995031496654270*c_1001_0^4 - 1715846694331543/2995031496654270*c_1001_0^3 + 2477321799702449/1497515748327135*c_1001_0^2 + 248992611530299/332781277406030*c_1001_0 + 263638655149181/332781277406030, c_0011_4 + 17821951595623/1497515748327135*c_1001_0^15 + 2082006593507/332781277406030*c_1001_0^14 - 1798653168521/599006299330854*c_1001_0^13 + 15299897140909/599006299330854*c_1001_0^12 - 235391866126087/1497515748327135*c_1001_0^11 + 5563173613118/99834383221809*c_1001_0^10 - 720078523607281/2995031496654270*c_1001_0^9 + 395684970077957/1497515748327135*c_1001_0^8 + 451453073941073/1497515748327135*c_1001_0^7 - 408079750256023/998343832218090*c_1001_0^6 + 1389446838902017/2995031496654270*c_1001_0^5 - 4035363271207433/2995031496654270*c_1001_0^4 + 3440871100583377/2995031496654270*c_1001_0^3 - 296284817727026/1497515748327135*c_1001_0^2 + 321579277973227/998343832218090*c_1001_0 - 164952533183809/332781277406030, c_0101_1 - 37344154776676/1497515748327135*c_1001_0^15 - 23660318171936/499171916109045*c_1001_0^14 + 20589774936913/299503149665427*c_1001_0^13 + 51420122496826/299503149665427*c_1001_0^12 + 299811185839264/1497515748327135*c_1001_0^11 - 19092830477965/99834383221809*c_1001_0^10 - 896814646616929/1497515748327135*c_1001_0^9 - 108853681625969/1497515748327135*c_1001_0^8 + 292264669230634/1497515748327135*c_1001_0^7 + 326207903213683/499171916109045*c_1001_0^6 + 84195527208283/1497515748327135*c_1001_0^5 - 1509590724540212/1497515748327135*c_1001_0^4 + 890385908689273/1497515748327135*c_1001_0^3 + 477989247573557/1497515748327135*c_1001_0^2 + 524298151293743/499171916109045*c_1001_0 - 102696590349146/166390638703015, c_0101_2 - 54892879/28770162885*c_1001_0^15 - 160652671/6393369530*c_1001_0^14 - 506297329/11508065154*c_1001_0^13 + 702363845/11508065154*c_1001_0^12 + 5719763206/28770162885*c_1001_0^11 + 491709109/1918010859*c_1001_0^10 - 4224374387/57540325770*c_1001_0^9 - 16804103921/28770162885*c_1001_0^8 - 9179474684/28770162885*c_1001_0^7 - 4239322481/19180108590*c_1001_0^6 + 32745248309/57540325770*c_1001_0^5 + 1702762229/57540325770*c_1001_0^4 - 45012028261/57540325770*c_1001_0^3 - 4078715587/28770162885*c_1001_0^2 + 5659838699/19180108590*c_1001_0 + 5321415487/6393369530, c_0110_5 + 17821951595623/1497515748327135*c_1001_0^15 + 2082006593507/332781277406030*c_1001_0^14 - 1798653168521/599006299330854*c_1001_0^13 + 15299897140909/599006299330854*c_1001_0^12 - 235391866126087/1497515748327135*c_1001_0^11 + 5563173613118/99834383221809*c_1001_0^10 - 720078523607281/2995031496654270*c_1001_0^9 + 395684970077957/1497515748327135*c_1001_0^8 + 451453073941073/1497515748327135*c_1001_0^7 - 408079750256023/998343832218090*c_1001_0^6 + 1389446838902017/2995031496654270*c_1001_0^5 - 4035363271207433/2995031496654270*c_1001_0^4 + 3440871100583377/2995031496654270*c_1001_0^3 - 296284817727026/1497515748327135*c_1001_0^2 + 321579277973227/998343832218090*c_1001_0 - 164952533183809/332781277406030, c_1001_0^16 + 3/2*c_1001_0^15 - 2*c_1001_0^14 - 5*c_1001_0^13 - 23/2*c_1001_0^12 + 6*c_1001_0^11 + 23/2*c_1001_0^10 + 31/2*c_1001_0^9 + 5*c_1001_0^8 - 51/2*c_1001_0^7 + 23*c_1001_0^6 - c_1001_0^5 + 29*c_1001_0^4 - 55/2*c_1001_0^3 - 57/2*c_1001_0^2 - 27/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB