Magma V2.19-8 Tue Aug 20 2013 23:38:32 on localhost [Seed = 3835855060] Type ? for help. Type -D to quit. Loading file "K9a22__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K9a22 geometric_solution 8.83664234 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 2 3 0132 0132 3120 0132 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 -1 1 -3 0 4 -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 1.375231389084 0.540565092821 0 4 6 5 0132 0132 0132 0132 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217942984231 0.757204380271 6 0 0 3 0132 0132 3120 3201 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 -4 4 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518205235940 0.631742175059 5 2 0 5 0213 2310 0132 3201 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 1 -1 0 -1 0 1 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 0.366576962694 0.669744451309 7 1 8 9 0132 0132 0132 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 3 -3 -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 0.553630490701 0.950627228888 3 3 1 8 0213 2310 0132 3012 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 -4 0 4 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 0.371154338953 1.148915330416 2 7 8 1 0132 0132 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 4 -4 0 0 0 -3 3 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.393726497056 1.517324924378 4 6 9 9 0132 0132 0213 3120 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 -4 3 1 1 0 -1 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 0.394819091795 0.464391338913 9 6 5 4 3120 1230 1230 0132 0 0 0 0 0 -1 0 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 3 0 -3 0 0 1 -1 1 -1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645183539225 0.333664594022 7 7 4 8 3120 0213 0132 3120 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 -3 3 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394819091795 0.464391338913 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_0011_8']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_1001_0']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_8'], 's_2_8' : d['1'], 's_2_9' : 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_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_8']), 'c_1100_8' : negation(d['c_0101_8']), 'c_1100_5' : negation(d['c_1001_8']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : negation(d['c_1001_8']), 'c_1100_1' : negation(d['c_1001_8']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_3']), 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_1001_0']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_0101_6'], '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_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_8, c_0101_4, c_0101_6, c_0101_8, c_1001_0, c_1001_1, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 30144624/39266753*c_1001_8^16 - 91084171/78533506*c_1001_8^15 - 113431709/39266753*c_1001_8^14 + 28208191/78533506*c_1001_8^13 + 12034558/2309809*c_1001_8^12 + 701638643/39266753*c_1001_8^11 + 2663716863/78533506*c_1001_8^10 + 3354057173/78533506*c_1001_8^9 + 104754333/2309809*c_1001_8^8 + 875819928/39266753*c_1001_8^7 - 240160185/78533506*c_1001_8^6 - 1546972371/78533506*c_1001_8^5 - 1148050831/39266753*c_1001_8^4 - 214506631/78533506*c_1001_8^3 - 149478507/78533506*c_1001_8^2 + 423352056/39266753*c_1001_8 + 326789199/78533506, c_0011_0 - 1, c_0011_3 + 4012574/6929427*c_1001_8^16 + 3781098/2309809*c_1001_8^15 + 35327600/6929427*c_1001_8^14 + 61819304/6929427*c_1001_8^13 + 104197786/6929427*c_1001_8^12 + 133585616/6929427*c_1001_8^11 + 135710228/6929427*c_1001_8^10 + 115493984/6929427*c_1001_8^9 + 15526208/2309809*c_1001_8^8 + 1297311/2309809*c_1001_8^7 - 25996798/6929427*c_1001_8^6 - 39801082/6929427*c_1001_8^5 + 3459838/2309809*c_1001_8^4 - 9983294/6929427*c_1001_8^3 + 13787786/2309809*c_1001_8^2 + 11931500/6929427*c_1001_8 + 2842820/2309809, c_0011_5 - 2408342/6929427*c_1001_8^16 - 1934810/2309809*c_1001_8^15 - 17589992/6929427*c_1001_8^14 - 27134114/6929427*c_1001_8^13 - 42557464/6929427*c_1001_8^12 - 48436286/6929427*c_1001_8^11 - 35869352/6929427*c_1001_8^10 - 20498108/6929427*c_1001_8^9 + 5589351/2309809*c_1001_8^8 + 9177482/2309809*c_1001_8^7 + 25445635/6929427*c_1001_8^6 + 25918468/6929427*c_1001_8^5 - 5700007/2309809*c_1001_8^4 + 2520704/6929427*c_1001_8^3 - 6295450/2309809*c_1001_8^2 - 3399062/6929427*c_1001_8 + 3175991/2309809, c_0011_8 - 733022/6929427*c_1001_8^16 + 515222/2309809*c_1001_8^15 + 2419792/6929427*c_1001_8^14 + 16473118/6929427*c_1001_8^13 + 25380050/6929427*c_1001_8^12 + 49865539/6929427*c_1001_8^11 + 65565430/6929427*c_1001_8^10 + 62944702/6929427*c_1001_8^9 + 20401242/2309809*c_1001_8^8 + 5060474/2309809*c_1001_8^7 + 3871012/6929427*c_1001_8^6 - 11665388/6929427*c_1001_8^5 - 9423194/2309809*c_1001_8^4 + 24537449/6929427*c_1001_8^3 - 6191550/2309809*c_1001_8^2 + 31915924/6929427*c_1001_8 - 952204/2309809, c_0101_4 + 517726/6929427*c_1001_8^16 + 1137378/2309809*c_1001_8^15 + 11572792/6929427*c_1001_8^14 + 28959802/6929427*c_1001_8^13 + 54678326/6929427*c_1001_8^12 + 85373938/6929427*c_1001_8^11 + 109664779/6929427*c_1001_8^10 + 112118038/6929427*c_1001_8^9 + 29312203/2309809*c_1001_8^8 + 13515656/2309809*c_1001_8^7 - 2591048/6929427*c_1001_8^6 - 21575630/6929427*c_1001_8^5 - 7674251/2309809*c_1001_8^4 - 1504612/6929427*c_1001_8^3 + 3584371/2309809*c_1001_8^2 + 18625306/6929427*c_1001_8 + 5767969/2309809, c_0101_6 + 2591978/6929427*c_1001_8^16 + 1616622/2309809*c_1001_8^15 + 16703216/6929427*c_1001_8^14 + 20084798/6929427*c_1001_8^13 + 34625314/6929427*c_1001_8^12 + 29771132/6929427*c_1001_8^11 + 16524500/6929427*c_1001_8^10 + 4800593/6929427*c_1001_8^9 - 10509668/2309809*c_1001_8^8 - 5579006/2309809*c_1001_8^7 - 18198478/6929427*c_1001_8^6 - 8251009/6929427*c_1001_8^5 + 10647410/2309809*c_1001_8^4 - 19997048/6929427*c_1001_8^3 + 11709684/2309809*c_1001_8^2 - 19271551/6929427*c_1001_8 + 434478/2309809, c_0101_8 - 1, c_1001_0 + 393275/6929427*c_1001_8^16 + 1752348/2309809*c_1001_8^15 + 15252755/6929427*c_1001_8^14 + 41949560/6929427*c_1001_8^13 + 72409717/6929427*c_1001_8^12 + 116083700/6929427*c_1001_8^11 + 142702358/6929427*c_1001_8^10 + 138509336/6929427*c_1001_8^9 + 35119007/2309809*c_1001_8^8 + 10226716/2309809*c_1001_8^7 - 12406882/6929427*c_1001_8^6 - 41057416/6929427*c_1001_8^5 - 13319518/2309809*c_1001_8^4 + 10437904/6929427*c_1001_8^3 - 362784/2309809*c_1001_8^2 + 40142252/6929427*c_1001_8 + 3511709/2309809, c_1001_1 - 517726/6929427*c_1001_8^16 - 1137378/2309809*c_1001_8^15 - 11572792/6929427*c_1001_8^14 - 28959802/6929427*c_1001_8^13 - 54678326/6929427*c_1001_8^12 - 85373938/6929427*c_1001_8^11 - 109664779/6929427*c_1001_8^10 - 112118038/6929427*c_1001_8^9 - 29312203/2309809*c_1001_8^8 - 13515656/2309809*c_1001_8^7 + 2591048/6929427*c_1001_8^6 + 21575630/6929427*c_1001_8^5 + 7674251/2309809*c_1001_8^4 + 1504612/6929427*c_1001_8^3 - 3584371/2309809*c_1001_8^2 - 18625306/6929427*c_1001_8 - 5767969/2309809, c_1001_8^17 + 3*c_1001_8^16 + 10*c_1001_8^15 + 19*c_1001_8^14 + 35*c_1001_8^13 + 49*c_1001_8^12 + 58*c_1001_8^11 + 58*c_1001_8^10 + 39*c_1001_8^9 + 21*c_1001_8^8 - 2*c_1001_8^7 - 14*c_1001_8^6 - 6*c_1001_8^5 - 10*c_1001_8^4 + 12*c_1001_8^3 + 4*c_1001_8^2 + 9*c_1001_8 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB