Magma V2.19-8 Tue Aug 20 2013 17:56:03 on localhost [Seed = 610636773] Type ? for help. Type -D to quit. Loading file "11_133__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_133 geometric_solution 9.27292053 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 2 3 0132 0132 2103 0132 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 -1 1 1 0 7 -8 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702598036487 1.041300026781 0 4 6 5 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 -1 0 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 0.835533144873 0.712589848788 0 0 8 7 2103 0132 0132 0132 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 0 0 -7 0 0 7 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554739916161 0.659906964079 5 4 0 8 0132 0321 0132 3120 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 1 -1 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324587273204 0.653742008370 7 1 8 3 1230 0132 0213 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.273992467372 0.651859686080 3 9 1 6 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.380721884939 0.379158676562 5 7 9 1 3120 0321 0321 0132 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 0 0 0 0 -1 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760255918219 0.469609341061 9 4 2 6 0132 3012 0132 0321 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 -7 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307510304373 1.332357946069 3 4 9 2 3120 0213 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 8 0 -8 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 0.764421192800 0.739894624420 7 5 6 8 0132 0132 0321 0132 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 -8 8 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.318697946139 1.313283495964 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_1001_4'], '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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : 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_1100_9' : d['c_1001_6'], 'c_1100_8' : d['c_1001_6'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_1001_6'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : d['c_0011_3'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_8'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_7'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_0'], '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' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_1']})} 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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_7, c_1001_2, c_1001_4, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 781/85*c_1001_6^2 + 337/85*c_1001_6 + 1369/85, c_0011_0 - 1, c_0011_3 + c_1001_4 + c_1001_6^2 + 2, c_0011_6 - c_1001_6^2 - c_1001_6 - 1, c_0011_8 - c_1001_6^2, c_0101_0 + c_1001_4*c_1001_6^2 + c_1001_4*c_1001_6 + 2*c_1001_4 + c_1001_6^2 + 2, c_0101_1 - c_1001_6, c_0101_7 - c_1001_4*c_1001_6^2 - c_1001_4*c_1001_6 - 2*c_1001_4 - c_1001_6^2 - c_1001_6 - 2, c_1001_2 - 1, c_1001_4^2 + c_1001_4*c_1001_6^2 + 2*c_1001_4 - c_1001_6^2 + c_1001_6 + 2, c_1001_6^3 + c_1001_6^2 + 2*c_1001_6 + 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_7, c_1001_2, c_1001_4, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 27836047906/53493561*c_1001_6^10 + 554508739/1304721*c_1001_6^9 - 179195110202/53493561*c_1001_6^8 + 332276795963/213974244*c_1001_6^7 - 679303976651/106987122*c_1001_6^6 - 21314040025/53493561*c_1001_6^5 - 231608681978/53493561*c_1001_6^4 - 55294927231/106987122*c_1001_6^3 - 2751412157/1621017*c_1001_6^2 - 61562037655/106987122*c_1001_6 - 22195542737/53493561, c_0011_0 - 1, c_0011_3 + 932480/4863051*c_1001_6^10 - 9008/118611*c_1001_6^9 + 5266528/4863051*c_1001_6^8 + 757892/4863051*c_1001_6^7 + 5516198/4863051*c_1001_6^6 + 11610155/4863051*c_1001_6^5 - 7528103/4863051*c_1001_6^4 + 12124099/4863051*c_1001_6^3 - 3790988/1621017*c_1001_6^2 + 590053/4863051*c_1001_6 - 1237019/4863051, c_0011_6 - 595460/1621017*c_1001_6^10 + 34946/39537*c_1001_6^9 - 5283010/1621017*c_1001_6^8 + 16538279/3242034*c_1001_6^7 - 27786103/3242034*c_1001_6^6 + 23032241/3242034*c_1001_6^5 - 19026971/3242034*c_1001_6^4 + 3158405/1621017*c_1001_6^3 - 282051/180113*c_1001_6^2 + 1407713/1621017*c_1001_6 - 258169/1621017, c_0011_8 - 1188692/4863051*c_1001_6^10 + 158414/118611*c_1001_6^9 - 15857956/4863051*c_1001_6^8 + 81316487/9726102*c_1001_6^7 - 52288427/4863051*c_1001_6^6 + 67311583/4863051*c_1001_6^5 - 75704441/9726102*c_1001_6^4 + 21600998/4863051*c_1001_6^3 - 4143635/1621017*c_1001_6^2 + 4149560/4863051*c_1001_6 - 422785/4863051, c_0101_0 - 4672432/4863051*c_1001_6^10 + 149668/118611*c_1001_6^9 - 30394706/4863051*c_1001_6^8 + 27313934/4863051*c_1001_6^7 - 108829601/9726102*c_1001_6^6 + 19074206/4863051*c_1001_6^5 - 43656661/9726102*c_1001_6^4 + 14733973/4863051*c_1001_6^3 - 232499/180113*c_1001_6^2 - 192716/4863051*c_1001_6 + 1236454/4863051, c_0101_1 - c_1001_6, c_0101_7 - 4672432/4863051*c_1001_6^10 + 149668/118611*c_1001_6^9 - 30394706/4863051*c_1001_6^8 + 27313934/4863051*c_1001_6^7 - 108829601/9726102*c_1001_6^6 + 19074206/4863051*c_1001_6^5 - 43656661/9726102*c_1001_6^4 + 14733973/4863051*c_1001_6^3 - 232499/180113*c_1001_6^2 - 192716/4863051*c_1001_6 + 1236454/4863051, c_1001_2 - 872260/4863051*c_1001_6^10 + 56398/118611*c_1001_6^9 - 7145252/4863051*c_1001_6^8 + 24334711/9726102*c_1001_6^7 - 15969034/4863051*c_1001_6^6 + 28766035/9726102*c_1001_6^5 - 6291971/4863051*c_1001_6^4 + 5403607/4863051*c_1001_6^3 - 1080911/540339*c_1001_6^2 + 1236454/4863051*c_1001_6 + 2526835/4863051, c_1001_4 + 932480/4863051*c_1001_6^10 - 9008/118611*c_1001_6^9 + 5266528/4863051*c_1001_6^8 + 757892/4863051*c_1001_6^7 + 5516198/4863051*c_1001_6^6 + 11610155/4863051*c_1001_6^5 - 7528103/4863051*c_1001_6^4 + 12124099/4863051*c_1001_6^3 - 3790988/1621017*c_1001_6^2 + 590053/4863051*c_1001_6 - 1237019/4863051, c_1001_6^11 - 3/2*c_1001_6^10 + 7*c_1001_6^9 - 59/8*c_1001_6^8 + 57/4*c_1001_6^7 - 15/2*c_1001_6^6 + 31/4*c_1001_6^5 - 9/2*c_1001_6^4 + 5/2*c_1001_6^3 - c_1001_6^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB