Magma V2.19-8 Wed Aug 21 2013 01:11:19 on localhost [Seed = 3549809182] Type ? for help. Type -D to quit. Loading file "L14n56962__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56962 geometric_solution 12.20620959 oriented_manifold CS_known -0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 2 2 2 1 0 -1 1 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 3 -2 -1 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 0.521113650843 0.618239683284 0 4 3 5 0132 0132 1230 0132 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783066695087 1.010934862548 0 0 7 6 2031 0132 0132 0132 2 2 1 2 0 1 0 -1 -1 0 0 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 0 -3 0 3 2 0 0 -2 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202921692884 0.945639093022 3 3 0 1 1302 2031 0132 3012 2 2 2 2 0 0 0 0 0 0 0 0 0 0 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 0.702742071757 1.043161916585 5 1 6 8 0213 0132 2103 0132 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456875232418 0.461914047984 4 6 1 7 0213 2103 0132 2031 2 2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433923531291 0.361666559271 4 5 2 9 2103 2103 0132 0132 2 2 2 1 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 3 -3 0 0 0 2 -2 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134977621772 0.780694684242 8 5 10 2 1302 1302 0132 0132 2 2 2 2 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 -1 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611194961957 0.787687651689 10 7 4 11 1230 2031 0132 0132 2 2 2 2 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236431019448 1.019494003263 12 10 6 10 0132 1023 0132 0132 2 2 2 2 0 0 0 0 1 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 0 0 0 -2 0 2 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.069301314570 1.952574738652 9 8 9 7 1023 3012 0132 0132 2 2 2 2 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316976212910 0.590224208571 12 12 8 12 1302 3201 0132 2103 2 2 0 2 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 0 0 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784965835969 1.243732306032 9 11 11 11 0132 2031 2310 2103 0 2 2 2 0 -1 0 1 -1 0 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 1 -1 2 0 -2 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 0.134977621772 0.780694684242 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0110_3']), 'c_1001_2' : negation(d['c_0110_3']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_8']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : negation(d['c_0011_7']), '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_9']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0110_3'], 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : d['c_0110_3'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1100_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0110_3']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0110_3']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_0011_7'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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'], 'c_1100_12' : d['c_0011_11'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(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_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0101_9'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_1100_10'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_9'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0011_6, c_0011_7, c_0011_8, c_0101_2, c_0101_8, c_0101_9, c_0110_3, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 113473100599/22706759936*c_1100_10^7 - 37542781421/22706759936*c_1100_10^6 + 648319238795/22706759936*c_1100_10^5 + 337163400993/987250432*c_1100_10^4 + 767685652921/1419172496*c_1100_10^3 + 6077919998849/11353379968*c_1100_10^2 + 5920578923185/22706759936*c_1100_10 + 2543054333461/22706759936, c_0011_0 - 1, c_0011_10 + 16253/43677*c_1100_10^7 - 4675/43677*c_1100_10^6 - 102295/43677*c_1100_10^5 - 45245/1899*c_1100_10^4 - 115824/4853*c_1100_10^3 - 318142/43677*c_1100_10^2 - 25958/43677*c_1100_10 - 60671/43677, c_0011_11 - 1, c_0011_3 + 1, c_0011_5 - 77/844*c_1100_10^7 + 107/844*c_1100_10^6 + 401/844*c_1100_10^5 + 4459/844*c_1100_10^4 - 75/422*c_1100_10^3 - 130/211*c_1100_10^2 - 393/844*c_1100_10 - 225/844, c_0011_6 + 77/844*c_1100_10^7 - 107/844*c_1100_10^6 - 401/844*c_1100_10^5 - 4459/844*c_1100_10^4 + 75/422*c_1100_10^3 + 130/211*c_1100_10^2 + 393/844*c_1100_10 + 225/844, c_0011_7 + 16253/87354*c_1100_10^7 - 4675/87354*c_1100_10^6 - 102295/87354*c_1100_10^5 - 45245/3798*c_1100_10^4 - 57912/4853*c_1100_10^3 - 159071/43677*c_1100_10^2 - 69635/87354*c_1100_10 - 60671/87354, c_0011_8 - 32995/174708*c_1100_10^7 + 15521/174708*c_1100_10^6 + 199853/174708*c_1100_10^5 + 90205/7596*c_1100_10^4 + 49351/4853*c_1100_10^3 + 168842/43677*c_1100_10^2 + 510721/174708*c_1100_10 + 142027/174708, c_0101_2 + 1052/14559*c_1100_10^7 + 122/14559*c_1100_10^6 - 7405/14559*c_1100_10^5 - 3014/633*c_1100_10^4 - 30512/4853*c_1100_10^3 - 10573/14559*c_1100_10^2 + 5383/14559*c_1100_10 + 5965/14559, c_0101_8 + 5215/43677*c_1100_10^7 - 5789/43677*c_1100_10^6 - 26564/43677*c_1100_10^5 - 13438/1899*c_1100_10^4 - 10278/4853*c_1100_10^3 - 146894/43677*c_1100_10^2 - 193015/43677*c_1100_10 - 58573/43677, c_0101_9 + 16253/87354*c_1100_10^7 - 4675/87354*c_1100_10^6 - 102295/87354*c_1100_10^5 - 45245/3798*c_1100_10^4 - 57912/4853*c_1100_10^3 - 159071/43677*c_1100_10^2 + 17719/87354*c_1100_10 - 60671/87354, c_0110_3 + 9521/58236*c_1100_10^7 - 6895/58236*c_1100_10^6 - 57289/58236*c_1100_10^5 - 25433/2532*c_1100_10^4 - 59299/9706*c_1100_10^3 - 1603/14559*c_1100_10^2 + 48649/58236*c_1100_10 + 39385/58236, c_1100_10^8 - 6*c_1100_10^6 - 66*c_1100_10^5 - 85*c_1100_10^4 - 62*c_1100_10^3 - 29*c_1100_10^2 - 6*c_1100_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB