Magma V2.19-8 Tue Aug 20 2013 17:57:01 on localhost [Seed = 4105519335] Type ? for help. Type -D to quit. Loading file "11_329__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_329 geometric_solution 11.18083695 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 -1 0 0 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329835461025 0.675588837977 0 5 7 6 0132 0132 0132 0132 0 0 0 0 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 1 0 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 0.430009929310 0.934293380946 8 0 7 4 0132 0132 0213 2310 0 0 0 0 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 -1 0 1 1 0 0 -1 0 -1 0 1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.060254083654 1.257862091965 9 10 11 0 0132 0132 0132 0132 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.323802425857 1.235681056278 2 5 0 10 3201 1302 0132 1302 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 1 -1 -1 0 -1 2 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158186459536 0.511544341567 11 1 10 4 2031 0132 2103 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.775505211951 0.630164631396 8 9 1 10 3012 2103 0132 0213 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 1 -1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198905096625 0.681739471052 9 2 11 1 2103 0213 0213 0132 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694174939104 1.028062705502 2 11 9 6 0132 2031 2031 1230 0 0 0 0 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 -1 0 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 0.494822303608 0.446249875598 3 6 7 8 0132 2103 2103 1302 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 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201619415216 0.492886726552 5 3 4 6 2103 0132 2031 0213 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 1 -1 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669035144104 0.928564601360 8 7 5 3 1302 0213 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698995796596 0.574232638189 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0110_10']), 'c_1001_11' : d['c_0110_5'], 'c_1001_10' : negation(d['c_0110_4']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0110_5'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_0']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : d['1'], 's_0_7' : 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' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_0011_4'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0110_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : 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_7' : negation(d['1']), 's_3_6' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], '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_3'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_11'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0101_1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0011_11'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_10'])})} 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_11, c_0011_4, c_0011_6, c_0101_1, c_0101_10, c_0101_3, c_0110_10, c_0110_4, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 108541739366/5426540581*c_0110_5*c_1001_3^4 - 329397798846/5426540581*c_0110_5*c_1001_3^3 + 500090069461/5426540581*c_0110_5*c_1001_3^2 + 9749417240/70474553*c_0110_5*c_1001_3 - 1197421679497/5426540581*c_0110_5 + 9863153315/187122089*c_1001_3^4 - 41880401592/187122089*c_1001_3^3 + 98261752854/187122089*c_1001_3^2 - 779674591/2430157*c_1001_3 - 13701149723/187122089, c_0011_0 - 1, c_0011_10 + 1/29*c_0110_5*c_1001_3^4 - 7/29*c_0110_5*c_1001_3^3 + 30/29*c_0110_5*c_1001_3^2 - 36/29*c_0110_5*c_1001_3 + 19/29*c_0110_5 + 2/29*c_1001_3^4 - 14/29*c_1001_3^3 + 31/29*c_1001_3^2 - 14/29*c_1001_3 + 9/29, c_0011_11 + 8/29*c_0110_5*c_1001_3^4 - 27/29*c_0110_5*c_1001_3^3 + 66/29*c_0110_5*c_1001_3^2 - 27/29*c_0110_5*c_1001_3 + 7/29*c_0110_5 - 7/29*c_1001_3^4 + 20/29*c_1001_3^3 - 36/29*c_1001_3^2 - 9/29*c_1001_3 + 12/29, c_0011_4 - 9/29*c_0110_5*c_1001_3^4 + 34/29*c_0110_5*c_1001_3^3 - 67/29*c_0110_5*c_1001_3^2 + 5/29*c_0110_5*c_1001_3 + 32/29*c_0110_5 + 8/29*c_1001_3^4 - 27/29*c_1001_3^3 + 66/29*c_1001_3^2 - 27/29*c_1001_3 + 7/29, c_0011_6 - 8/29*c_0110_5*c_1001_3^4 + 27/29*c_0110_5*c_1001_3^3 - 66/29*c_0110_5*c_1001_3^2 + 27/29*c_0110_5*c_1001_3 - 7/29*c_0110_5 + 7/29*c_1001_3^4 - 20/29*c_1001_3^3 + 36/29*c_1001_3^2 + 9/29*c_1001_3 + 17/29, c_0101_1 - 7/29*c_1001_3^4 + 20/29*c_1001_3^3 - 36/29*c_1001_3^2 - 9/29*c_1001_3 - 17/29, c_0101_10 - c_0110_5 + 8/29*c_1001_3^4 - 27/29*c_1001_3^3 + 66/29*c_1001_3^2 + 2/29*c_1001_3 + 7/29, c_0101_3 - 10/29*c_0110_5*c_1001_3^4 + 41/29*c_0110_5*c_1001_3^3 - 97/29*c_0110_5*c_1001_3^2 + 70/29*c_0110_5*c_1001_3 - 16/29*c_0110_5 + 16/29*c_1001_3^4 - 54/29*c_1001_3^3 + 103/29*c_1001_3^2 + 4/29*c_1001_3 - 15/29, c_0110_10 - 9/29*c_1001_3^4 + 34/29*c_1001_3^3 - 67/29*c_1001_3^2 + 5/29*c_1001_3 + 3/29, c_0110_4 + 9/29*c_0110_5*c_1001_3^4 - 34/29*c_0110_5*c_1001_3^3 + 67/29*c_0110_5*c_1001_3^2 - 5/29*c_0110_5*c_1001_3 - 32/29*c_0110_5 - 8/29*c_1001_3^4 + 27/29*c_1001_3^3 - 66/29*c_1001_3^2 - 2/29*c_1001_3 - 7/29, c_0110_5^2 - 8/29*c_0110_5*c_1001_3^4 + 27/29*c_0110_5*c_1001_3^3 - 66/29*c_0110_5*c_1001_3^2 - 2/29*c_0110_5*c_1001_3 - 7/29*c_0110_5 + 20/29*c_1001_3^4 - 53/29*c_1001_3^3 + 107/29*c_1001_3^2 + 34/29*c_1001_3 + 32/29, c_1001_3^5 - 4*c_1001_3^4 + 9*c_1001_3^3 - 4*c_1001_3^2 - 2*c_1001_3 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0101_1, c_0101_10, c_0101_3, c_0110_10, c_0110_4, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 460889534135320/398528860763*c_1001_3^13 + 3363692371883301/797057721526*c_1001_3^12 - 6276614766439195/797057721526*c_1001_3^11 + 218361535409967/797057721526*c_1001_3^10 + 26374086642855/398528860763*c_1001_3^9 - 4741507129316890/398528860763*c_1001_3^8 - 2453407933347449/797057721526*c_1001_3^7 - 4133787328121551/398528860763*c_1001_3^6 - 7092488462035099/797057721526*c_1001_3^5 - 176974342720702/36229896433*c_1001_3^4 - 3111142810057245/398528860763*c_1001_3^3 - 1608550052553343/398528860763*c_1001_3^2 - 837154518473308/398528860763*c_1001_3 - 498227002182262/398528860763, c_0011_0 - 1, c_0011_10 - 15342181795/1685111462*c_1001_3^13 + 60340338653/1685111462*c_1001_3^12 - 62063112710/842555731*c_1001_3^11 + 50137886687/1685111462*c_1001_3^10 - 40225634627/1685111462*c_1001_3^9 - 61325100144/842555731*c_1001_3^8 - 26892030297/1685111462*c_1001_3^7 - 141656322463/1685111462*c_1001_3^6 - 39187581005/842555731*c_1001_3^5 - 65579508141/1685111462*c_1001_3^4 - 88057395313/1685111462*c_1001_3^3 - 20726010080/842555731*c_1001_3^2 - 25155287231/1685111462*c_1001_3 - 5108948994/842555731, c_0011_11 + 42784811285/1685111462*c_1001_3^13 - 170836163419/1685111462*c_1001_3^12 + 179820383635/842555731*c_1001_3^11 - 176976405461/1685111462*c_1001_3^10 + 160952073213/1685111462*c_1001_3^9 + 146421643396/842555731*c_1001_3^8 + 95905108655/1685111462*c_1001_3^7 + 372232342321/1685111462*c_1001_3^6 + 104407350874/842555731*c_1001_3^5 + 185669320111/1685111462*c_1001_3^4 + 228819955041/1685111462*c_1001_3^3 + 52774998596/842555731*c_1001_3^2 + 69394906505/1685111462*c_1001_3 + 14556891331/842555731, c_0011_4 + 34317339345/1685111462*c_1001_3^13 - 134767655353/1685111462*c_1001_3^12 + 138549277411/842555731*c_1001_3^11 - 111342260917/1685111462*c_1001_3^10 + 89926202321/1685111462*c_1001_3^9 + 138879778064/842555731*c_1001_3^8 + 59657972489/1685111462*c_1001_3^7 + 311114334685/1685111462*c_1001_3^6 + 94280352173/842555731*c_1001_3^5 + 142286612625/1685111462*c_1001_3^4 + 200673448787/1685111462*c_1001_3^3 + 46133792068/842555731*c_1001_3^2 + 59609953705/1685111462*c_1001_3 + 13643026988/842555731, c_0011_6 + 42784811285/1685111462*c_1001_3^13 - 170836163419/1685111462*c_1001_3^12 + 179820383635/842555731*c_1001_3^11 - 176976405461/1685111462*c_1001_3^10 + 160952073213/1685111462*c_1001_3^9 + 146421643396/842555731*c_1001_3^8 + 95905108655/1685111462*c_1001_3^7 + 372232342321/1685111462*c_1001_3^6 + 104407350874/842555731*c_1001_3^5 + 185669320111/1685111462*c_1001_3^4 + 228819955041/1685111462*c_1001_3^3 + 52774998596/842555731*c_1001_3^2 + 69394906505/1685111462*c_1001_3 + 14556891331/842555731, c_0101_1 - 25905895265/1685111462*c_1001_3^13 + 99402655171/1685111462*c_1001_3^12 - 99096407219/842555731*c_1001_3^11 + 57577989247/1685111462*c_1001_3^10 - 42925602691/1685111462*c_1001_3^9 - 114288838924/842555731*c_1001_3^8 - 51135031725/1685111462*c_1001_3^7 - 229015337815/1685111462*c_1001_3^6 - 78928903394/842555731*c_1001_3^5 - 102564592549/1685111462*c_1001_3^4 - 153152162025/1685111462*c_1001_3^3 - 36124556760/842555731*c_1001_3^2 - 42142053789/1685111462*c_1001_3 - 10264057507/842555731, c_0101_10 + 45640281645/1685111462*c_1001_3^13 - 182557021783/1685111462*c_1001_3^12 + 191044016868/842555731*c_1001_3^11 - 178664266873/1685111462*c_1001_3^10 + 143916167583/1685111462*c_1001_3^9 + 166711045474/842555731*c_1001_3^8 + 86313419747/1685111462*c_1001_3^7 + 385549319541/1685111462*c_1001_3^6 + 111798764641/842555731*c_1001_3^5 + 182759983469/1685111462*c_1001_3^4 + 243487476021/1685111462*c_1001_3^3 + 54912342940/842555731*c_1001_3^2 + 70195240267/1685111462*c_1001_3 + 15540891780/842555731, c_0101_3 + 6331163515/1685111462*c_1001_3^13 - 28251460321/1685111462*c_1001_3^12 + 33025409484/842555731*c_1001_3^11 - 54123860033/1685111462*c_1001_3^10 + 41135735299/1685111462*c_1001_3^9 + 16541213243/842555731*c_1001_3^8 + 82125253/1685111462*c_1001_3^7 + 52676662601/1685111462*c_1001_3^6 + 7400435900/842555731*c_1001_3^5 + 24740383609/1685111462*c_1001_3^4 + 28654063083/1685111462*c_1001_3^3 + 3985393580/842555731*c_1001_3^2 + 7778508517/1685111462*c_1001_3 + 1638668197/842555731, c_0110_10 + 1979043270/842555731*c_1001_3^13 - 8664886633/842555731*c_1001_3^12 + 19952136266/842555731*c_1001_3^11 - 15139575798/842555731*c_1001_3^10 + 10264201000/842555731*c_1001_3^9 + 15999871192/842555731*c_1001_3^8 - 6090573156/842555731*c_1001_3^7 + 21778220161/842555731*c_1001_3^6 + 5380271478/842555731*c_1001_3^5 + 6605801105/842555731*c_1001_3^4 + 11229332951/842555731*c_1001_3^3 + 2851605970/842555731*c_1001_3^2 + 3562614709/842555731*c_1001_3 + 1543553875/842555731, c_0110_4 + 76266971585/1685111462*c_1001_3^13 - 303591716729/1685111462*c_1001_3^12 + 316836029583/842555731*c_1001_3^11 - 291464487385/1685111462*c_1001_3^10 + 245968984069/1685111462*c_1001_3^9 + 278448372442/842555731*c_1001_3^8 + 144373338277/1685111462*c_1001_3^7 + 668541676673/1685111462*c_1001_3^6 + 185368636682/842555731*c_1001_3^5 + 314599424621/1685111462*c_1001_3^4 + 412327430541/1685111462*c_1001_3^3 + 94004205166/842555731*c_1001_3^2 + 120769462581/1685111462*c_1001_3 + 25862403939/842555731, c_0110_5 - 45640281645/1685111462*c_1001_3^13 + 182557021783/1685111462*c_1001_3^12 - 191044016868/842555731*c_1001_3^11 + 178664266873/1685111462*c_1001_3^10 - 143916167583/1685111462*c_1001_3^9 - 166711045474/842555731*c_1001_3^8 - 86313419747/1685111462*c_1001_3^7 - 385549319541/1685111462*c_1001_3^6 - 111798764641/842555731*c_1001_3^5 - 182759983469/1685111462*c_1001_3^4 - 243487476021/1685111462*c_1001_3^3 - 54912342940/842555731*c_1001_3^2 - 70195240267/1685111462*c_1001_3 - 15540891780/842555731, c_1001_3^14 - 17/5*c_1001_3^13 + 6*c_1001_3^12 + c_1001_3^11 + c_1001_3^10 + 46/5*c_1001_3^9 + 31/5*c_1001_3^8 + 49/5*c_1001_3^7 + 10*c_1001_3^6 + 7*c_1001_3^5 + 39/5*c_1001_3^4 + 28/5*c_1001_3^3 + 3*c_1001_3^2 + 8/5*c_1001_3 + 2/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.750 Total time: 0.960 seconds, Total memory usage: 32.09MB