Magma V2.19-8 Tue Aug 20 2013 23:49:03 on localhost [Seed = 879910562] Type ? for help. Type -D to quit. Loading file "L12n132__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n132 geometric_solution 11.00260872 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 0 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 0 0 0 0 0 0 0 1 -1 0 -1 0 1 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 0.243051990368 0.767165927444 0 5 2 5 0132 0132 0321 0213 1 0 1 0 0 0 0 0 1 0 0 -1 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 -1 1 1 0 1 -2 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405869520325 0.528988224451 6 0 1 7 0132 0132 0321 0132 1 0 1 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 1 0 -2 0 2 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 1.453825320193 1.057705371698 8 9 6 0 0132 0132 3120 0132 1 0 1 1 0 0 0 0 0 0 1 -1 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 -1 1 0 0 1 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248312549316 0.568171229610 6 7 0 7 3201 0321 0132 3120 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596274629235 1.634372818285 8 1 10 1 2310 0132 0132 0213 1 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 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 -2 0 2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405869520325 0.528988224451 2 8 3 4 0132 2310 3120 2310 1 0 0 1 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 4 -3 -1 2 0 -1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385431472958 0.746414937274 4 9 2 4 3120 0213 0132 0321 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 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 0.802996301426 0.539981871212 3 11 5 6 0132 0132 3201 3201 1 0 1 1 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 -4 3 1 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198346116687 1.840077611426 10 3 7 10 1023 0132 0213 3012 1 1 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 0 0 0 0 0 0 -1 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284031793444 0.649935978942 11 9 9 5 0132 1023 1230 0132 1 1 1 1 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 1 0 -1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284031793444 0.649935978942 10 8 11 11 0132 0132 2031 1302 1 1 1 1 0 -1 0 1 0 0 -1 1 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 4 0 -4 0 0 4 -4 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390475889001 1.687514321580 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_1']), 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : d['c_0110_9'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0110_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_7']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_9'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_0110_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_9'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_10']), 's_3_1' : 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_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0110_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 79245575059997691663/676270732828482688*c_1001_1^13 + 558650279644951634151/676270732828482688*c_1001_1^12 + 796436918171248124427/338135366414241344*c_1001_1^11 + 614683357112079291181/338135366414241344*c_1001_1^10 + 8539054732316135471/21133460400890084*c_1001_1^9 - 190204009230587838491/169067683207120672*c_1001_1^8 - 798092871640442033199/338135366414241344*c_1001_1^7 - 202486837599641934925/338135366414241344*c_1001_1^6 + 1872104647185650544493/676270732828482688*c_1001_1^5 + 286382010363450369285/676270732828482688*c_1001_1^4 - 126766899963952225001/84533841603560336*c_1001_1^3 - 3784406747345986757/169067683207120672*c_1001_1^2 + 325013732297850052227/676270732828482688*c_1001_1 + 23324118472627492671/676270732828482688, c_0011_0 - 1, c_0011_10 + 7029880/750181*c_1001_1^13 + 51998034/750181*c_1001_1^12 + 158277506/750181*c_1001_1^11 + 156559170/750181*c_1001_1^10 + 57678990/750181*c_1001_1^9 - 63311311/750181*c_1001_1^8 - 170839826/750181*c_1001_1^7 - 89433649/750181*c_1001_1^6 + 150227730/750181*c_1001_1^5 + 79279958/750181*c_1001_1^4 - 86339874/750181*c_1001_1^3 - 32728577/750181*c_1001_1^2 + 27801816/750181*c_1001_1 + 11174531/750181, c_0011_4 + 40036/8429*c_1001_1^13 + 304865/8429*c_1001_1^12 + 960948/8429*c_1001_1^11 + 1052838/8429*c_1001_1^10 + 421933/8429*c_1001_1^9 - 370766/8429*c_1001_1^8 - 1088984/8429*c_1001_1^7 - 700938/8429*c_1001_1^6 + 827991/8429*c_1001_1^5 + 652321/8429*c_1001_1^4 - 494075/8429*c_1001_1^3 - 284950/8429*c_1001_1^2 + 173591/8429*c_1001_1 + 88615/8429, c_0011_7 - 2706349/750181*c_1001_1^13 - 19600343/750181*c_1001_1^12 - 57993018/750181*c_1001_1^11 - 51863664/750181*c_1001_1^10 - 15425439/750181*c_1001_1^9 + 27210508/750181*c_1001_1^8 + 64155526/750181*c_1001_1^7 + 27908127/750181*c_1001_1^6 - 59007892/750181*c_1001_1^5 - 21746086/750181*c_1001_1^4 + 32822305/750181*c_1001_1^3 + 7420982/750181*c_1001_1^2 - 10004130/750181*c_1001_1 - 2963925/750181, c_0101_0 + 4540637/750181*c_1001_1^13 + 34170244/750181*c_1001_1^12 + 106469952/750181*c_1001_1^11 + 113584643/750181*c_1001_1^10 + 47943631/750181*c_1001_1^9 - 39035411/750181*c_1001_1^8 - 116956606/750181*c_1001_1^7 - 72605534/750181*c_1001_1^6 + 91133380/750181*c_1001_1^5 + 64901481/750181*c_1001_1^4 - 51277848/750181*c_1001_1^3 - 29221059/750181*c_1001_1^2 + 17755667/750181*c_1001_1 + 8469970/750181, c_0101_1 - 1, c_0101_10 + 515792/750181*c_1001_1^13 + 3149494/750181*c_1001_1^12 + 7041408/750181*c_1001_1^11 - 1000467/750181*c_1001_1^10 - 3381240/750181*c_1001_1^9 - 4188878/750181*c_1001_1^8 - 4622180/750181*c_1001_1^7 + 7105808/750181*c_1001_1^6 + 12777020/750181*c_1001_1^5 - 10153828/750181*c_1001_1^4 - 6247528/750181*c_1001_1^3 + 6053173/750181*c_1001_1^2 + 920612/750181*c_1001_1 - 1359606/750181, c_0101_11 + 1635604/750181*c_1001_1^13 + 12041549/750181*c_1001_1^12 + 36336776/750181*c_1001_1^11 + 34627744/750181*c_1001_1^10 + 10566786/750181*c_1001_1^9 - 16772183/750181*c_1001_1^8 - 39918874/750181*c_1001_1^7 - 19495367/750181*c_1001_1^6 + 37307220/750181*c_1001_1^5 + 18322474/750181*c_1001_1^4 - 22260358/750181*c_1001_1^3 - 7754038/750181*c_1001_1^2 + 7312908/750181*c_1001_1 + 2428971/750181, c_0101_6 - 4756512/750181*c_1001_1^13 - 35450436/750181*c_1001_1^12 - 109102635/750181*c_1001_1^11 - 112010086/750181*c_1001_1^10 - 44583561/750181*c_1001_1^9 + 42736746/750181*c_1001_1^8 + 119221118/750181*c_1001_1^7 + 68493520/750181*c_1001_1^6 - 98223077/750181*c_1001_1^5 - 60007018/750181*c_1001_1^4 + 55214915/750181*c_1001_1^3 + 27129814/750181*c_1001_1^2 - 18671296/750181*c_1001_1 - 9297149/750181, c_0110_9 - 2154852/750181*c_1001_1^13 - 16127247/750181*c_1001_1^12 - 49878289/750181*c_1001_1^11 - 51950383/750181*c_1001_1^10 - 20872863/750181*c_1001_1^9 + 19262504/750181*c_1001_1^8 + 54532302/750181*c_1001_1^7 + 32105099/750181*c_1001_1^6 - 44073807/750181*c_1001_1^5 - 28574663/750181*c_1001_1^4 + 25266585/750181*c_1001_1^3 + 13215030/750181*c_1001_1^2 - 8942397/750181*c_1001_1 - 4540637/750181, c_1001_0 - 2601660/750181*c_1001_1^13 - 19323189/750181*c_1001_1^12 - 59224346/750181*c_1001_1^11 - 60059703/750181*c_1001_1^10 - 23710698/750181*c_1001_1^9 + 23474242/750181*c_1001_1^8 + 64688816/750181*c_1001_1^7 + 36388421/750181*c_1001_1^6 - 54149270/750181*c_1001_1^5 - 31432355/750181*c_1001_1^4 + 29948330/750181*c_1001_1^3 + 13914784/750181*c_1001_1^2 - 8978718/750181*c_1001_1 - 4756512/750181, c_1001_1^14 + 8*c_1001_1^13 + 27*c_1001_1^12 + 36*c_1001_1^11 + 22*c_1001_1^10 - 4*c_1001_1^9 - 30*c_1001_1^8 - 28*c_1001_1^7 + 13*c_1001_1^6 + 24*c_1001_1^5 - 5*c_1001_1^4 - 12*c_1001_1^3 + c_1001_1^2 + 4*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB