Magma V2.19-8 Tue Aug 20 2013 17:55:57 on localhost [Seed = 273786865] Type ? for help. Type -D to quit. Loading file "10^2_93__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_93 geometric_solution 10.07007854 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 0 0 1 2 1302 2031 0132 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 1 0 -1 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441724823863 0.592105374669 3 4 5 0 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521210583162 0.371731929001 4 3 0 6 2310 3201 0132 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 1 -1 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.218358402671 2.106110212520 1 7 2 7 0132 0132 2310 1230 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 -1 1 0 0 0 0 -1 4 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880793168109 0.911340444273 5 1 2 6 0321 0132 3201 2310 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453126626293 0.765331278498 4 8 8 1 0321 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403352641311 1.134680793704 4 9 2 8 3201 0132 0132 1302 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 -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 0.200885372694 0.564591438559 3 3 8 10 3012 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 0 0 0 -1 0 1 0 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141114644150 1.078826443527 5 5 6 7 2031 0132 2031 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 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 0.721862949974 0.782433871404 10 6 10 10 0213 0132 1230 3201 0 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 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 0.537262602981 0.437478690570 9 9 7 9 0213 2310 0132 3012 0 0 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 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 -0.119206831891 0.911340444273 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0110_6']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0011_2'], '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_2_10' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_1001_9']), 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_7' : negation(d['c_1001_9']), 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0101_8'], 'c_1100_10' : negation(d['c_1001_9']), 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_9'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : negation(d['c_1001_10']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : d['c_0101_7'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_2'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : d['c_0011_1'], 'c_0110_6' : d['c_0110_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0011_1'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0011_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_10, c_0011_2, c_0011_5, c_0101_2, c_0101_7, c_0101_8, c_0110_6, c_1001_10, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 16271/24354*c_1001_9^4 + 5046179/566784*c_1001_9^3 - 8258857/64944*c_1001_9^2 + 2282057/4428*c_1001_9 - 24952055/48708, c_0011_0 - 1, c_0011_1 + 5/256*c_1001_9^4 + 17/64*c_1001_9^3 - 29/8*c_1001_9^2 + 29/2*c_1001_9 - 14, c_0011_10 - 1, c_0011_2 - 5/256*c_1001_9^4 - 17/64*c_1001_9^3 + 29/8*c_1001_9^2 - 14*c_1001_9 + 14, c_0011_5 - 3/256*c_1001_9^4 - 5/32*c_1001_9^3 + 9/4*c_1001_9^2 - 35/4*c_1001_9 + 8, c_0101_2 - 1/256*c_1001_9^4 - 3/64*c_1001_9^3 + 13/16*c_1001_9^2 - 4*c_1001_9 + 5, c_0101_7 + 1/2*c_1001_9, c_0101_8 + 3/256*c_1001_9^4 + 5/32*c_1001_9^3 - 9/4*c_1001_9^2 + 35/4*c_1001_9 - 8, c_0110_6 - 3/256*c_1001_9^4 - 5/32*c_1001_9^3 + 9/4*c_1001_9^2 - 35/4*c_1001_9 + 8, c_1001_10 - 5/256*c_1001_9^4 - 17/64*c_1001_9^3 + 29/8*c_1001_9^2 - 15*c_1001_9 + 14, c_1001_9^5 + 12*c_1001_9^4 - 208*c_1001_9^3 + 1024*c_1001_9^2 - 1792*c_1001_9 + 1024 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_10, c_0011_2, c_0011_5, c_0101_2, c_0101_7, c_0101_8, c_0110_6, c_1001_10, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 67671673131/18929494897280*c_1001_9^5 + 571414213/13066087936*c_1001_9^4 + 9441651661157/75717979589120*c_1001_9^3 + 759601551119/4732373724320*c_1001_9^2 - 751537954273/1183093431080*c_1001_9 + 3047279939027/591546715540, c_0011_0 - 1, c_0011_1 - 633/36544*c_1001_9^5 - 4121/146176*c_1001_9^4 - 3477/36544*c_1001_9^3 + 3417/4568*c_1001_9^2 - 4101/1142*c_1001_9 + 2134/571, c_0011_10 - 1, c_0011_2 - 633/36544*c_1001_9^5 - 4121/146176*c_1001_9^4 - 3477/36544*c_1001_9^3 + 3417/4568*c_1001_9^2 - 1765/571*c_1001_9 + 2134/571, c_0011_5 + 373/36544*c_1001_9^5 + 1317/146176*c_1001_9^4 + 333/18272*c_1001_9^3 - 296/571*c_1001_9^2 + 5101/2284*c_1001_9 - 1400/571, c_0101_2 - 1/64*c_1001_9^5 - 1/256*c_1001_9^4 - 3/64*c_1001_9^3 + 13/16*c_1001_9^2 - 4*c_1001_9 + 5, c_0101_7 - 1/2*c_1001_9, c_0101_8 + 3/64*c_1001_9^5 + 19/256*c_1001_9^4 + 5/32*c_1001_9^3 - 9/4*c_1001_9^2 + 35/4*c_1001_9 - 8, c_0110_6 + 967/36544*c_1001_9^5 + 8215/146176*c_1001_9^4 + 2189/18272*c_1001_9^3 - 2771/2284*c_1001_9^2 + 9783/2284*c_1001_9 - 1768/571, c_1001_10 - 633/36544*c_1001_9^5 - 4121/146176*c_1001_9^4 - 3477/36544*c_1001_9^3 + 3417/4568*c_1001_9^2 - 2336/571*c_1001_9 + 2134/571, c_1001_9^6 + 1/4*c_1001_9^5 + 3*c_1001_9^4 - 52*c_1001_9^3 + 256*c_1001_9^2 - 448*c_1001_9 + 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB