Magma V2.19-8 Tue Aug 20 2013 17:56:29 on localhost [Seed = 1494805856] Type ? for help. Type -D to quit. Loading file "9^2_6__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_6 geometric_solution 9.18118733 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 1 1 -2 0 0 0 0 1 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193472363229 0.656100345593 0 5 3 6 0132 0132 1023 0132 1 1 1 0 0 1 0 -1 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 1 0 -1 0 0 0 0 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586508471383 1.402225776839 4 0 7 7 1023 0132 3012 0132 1 1 1 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 0 0 0 0 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372232478226 0.594061944207 5 4 1 0 0132 1023 1023 0132 1 1 1 0 0 1 0 -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 0 0 0 0 1 0 -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 0 0 0 0.253874568754 0.393036108154 3 2 0 8 1023 1023 0132 0132 1 1 1 0 0 0 1 -1 -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 0 2 -2 -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 2.049136453747 1.552653068017 3 1 9 9 0132 0132 0132 2031 1 1 0 1 0 -1 0 1 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 -1 0 1 0 0 2 -2 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447346931983 1.049136453747 9 9 1 8 0132 1230 0132 1023 1 1 0 1 0 0 1 -1 -1 0 0 1 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 1 -1 -2 0 0 2 2 -3 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447346931983 1.049136453747 8 2 2 8 1023 1230 0132 3120 1 1 0 1 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 1 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840383040137 0.795261884993 7 7 4 6 3120 1023 0132 1023 1 1 0 1 0 0 1 -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 0 2 -2 0 0 -1 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372232478226 0.594061944207 6 5 6 5 0132 1302 3012 0132 1 1 1 0 0 1 -1 0 1 0 0 -1 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 2 -2 0 2 0 0 -2 0 -1 0 1 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656100345593 0.806527636771 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_0101_7'], 's_2_8' : d['1'], 's_2_9' : 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_2_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_5']), 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : negation(d['c_1001_5']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_8']), 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_0101_9'], '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' : 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' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_9'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_9'], 'c_0110_6' : d['c_0101_9']})} 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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_7, c_0101_8, c_0101_9, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 11380/86549*c_1100_0^6 - 464521/86549*c_1100_0^5 - 477662/86549*c_1100_0^4 + 28947/86549*c_1100_0^3 + 751488/86549*c_1100_0^2 + 626352/86549*c_1100_0 - 353134/86549, c_0011_0 - 1, c_0011_6 - 3035/3266*c_1100_0^6 - 369/1633*c_1100_0^5 + 3261/3266*c_1100_0^4 + 3750/1633*c_1100_0^3 + 167/1633*c_1100_0^2 - 4229/1633*c_1100_0 - 1331/3266, c_0011_7 - 5305/3266*c_1100_0^6 - 4102/1633*c_1100_0^5 + 949/3266*c_1100_0^4 + 6770/1633*c_1100_0^3 + 6189/1633*c_1100_0^2 - 1425/1633*c_1100_0 - 8003/3266, c_0101_0 - 1, c_0101_1 + 695/3266*c_1100_0^6 + 1053/1633*c_1100_0^5 - 623/3266*c_1100_0^4 - 3054/1633*c_1100_0^3 - 2707/1633*c_1100_0^2 + 199/1633*c_1100_0 + 5949/3266, c_0101_7 - 2755/1633*c_1100_0^6 - 3414/1633*c_1100_0^5 + 1424/1633*c_1100_0^4 + 6496/1633*c_1100_0^3 + 6776/1633*c_1100_0^2 - 2776/1633*c_1100_0 - 4033/1633, c_0101_8 - 775/1633*c_1100_0^6 - 175/1633*c_1100_0^5 + 2081/1633*c_1100_0^4 + 2429/1633*c_1100_0^3 + 774/1633*c_1100_0^2 - 2488/1633*c_1100_0 - 1911/1633, c_0101_9 + 1, c_1001_5 - 845/1633*c_1100_0^6 + 494/1633*c_1100_0^5 + 499/1633*c_1100_0^4 + 1047/1633*c_1100_0^3 - 20/1633*c_1100_0^2 - 1459/1633*c_1100_0 - 419/1633, c_1100_0^7 + 4/5*c_1100_0^6 - 7/5*c_1100_0^5 - 14/5*c_1100_0^4 - 4/5*c_1100_0^3 + 14/5*c_1100_0^2 + 7/5*c_1100_0 - 4/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB