Magma V2.19-8 Tue Aug 20 2013 23:29:35 on localhost [Seed = 3886121353] Type ? for help. Type -D to quit. Loading file "K13n912__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n912 geometric_solution 6.90425612 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 8 1 1 2 3 0132 0213 0132 0132 0 0 0 0 0 -1 0 1 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 8 1 -9 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 1.085758885792 0.626739126589 0 4 0 5 0132 0132 0213 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 -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 0 0 0 0.309170550097 0.398771634955 5 3 6 0 0132 0321 0132 0132 0 0 0 0 0 0 0 0 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 1 -1 0 0 -8 8 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.896998580845 0.753794164922 7 4 0 2 0132 0321 0132 0321 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 -9 9 0 -1 0 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642257347819 0.828709030508 7 1 6 3 2103 0132 2310 0321 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 -9 9 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 0.439088945319 1.017147303971 2 6 1 6 0132 1230 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.465697631061 1.554424240297 5 4 5 2 3201 3201 3012 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 -8 8 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500637106583 0.357579583712 3 7 4 7 0132 1302 2103 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.372857541784 1.243362373036 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : negation(d['1']), 's_3_0' : 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_1_7' : negation(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_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_6' : d['c_1001_2'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_2'], 'c_0101_7' : negation(d['c_0011_2']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0011_0'], 'c_0110_6' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_0011_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_6, c_0101_0, c_0101_2, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 60460141716/21900557*c_1001_2^10 + 13446309536/3128651*c_1001_2^9 - 238204750885/21900557*c_1001_2^8 - 196683804454/21900557*c_1001_2^7 - 290657721376/21900557*c_1001_2^6 + 990277978472/21900557*c_1001_2^5 + 105067280590/21900557*c_1001_2^4 - 515269076745/21900557*c_1001_2^3 - 28209765254/21900557*c_1001_2^2 + 42926865330/21900557*c_1001_2 - 34283504740/21900557, c_0011_0 - 1, c_0011_2 - 3876804/3128651*c_1001_2^10 - 4154824/3128651*c_1001_2^9 + 21065805/3128651*c_1001_2^8 + 11823716/3128651*c_1001_2^7 + 7221145/3128651*c_1001_2^6 - 83717157/3128651*c_1001_2^5 - 416237/3128651*c_1001_2^4 + 60555328/3128651*c_1001_2^3 + 601729/3128651*c_1001_2^2 - 5358623/3128651*c_1001_2 + 2334562/3128651, c_0011_3 - 14358556/3128651*c_1001_2^10 - 20684960/3128651*c_1001_2^9 + 61297871/3128651*c_1001_2^8 + 44996178/3128651*c_1001_2^7 + 59278070/3128651*c_1001_2^6 - 252342584/3128651*c_1001_2^5 - 15829828/3128651*c_1001_2^4 + 146248731/3128651*c_1001_2^3 + 6672013/3128651*c_1001_2^2 - 12053319/3128651*c_1001_2 + 5650062/3128651, c_0011_6 - 3972540/3128651*c_1001_2^10 - 9591996/3128651*c_1001_2^9 + 9214351/3128651*c_1001_2^8 + 22599221/3128651*c_1001_2^7 + 29752646/3128651*c_1001_2^6 - 42479447/3128651*c_1001_2^5 - 50708889/3128651*c_1001_2^4 + 26442401/3128651*c_1001_2^3 + 15625227/3128651*c_1001_2^2 - 94325/3128651*c_1001_2 + 1476425/3128651, c_0101_0 + 7896292/3128651*c_1001_2^10 + 10834552/3128651*c_1001_2^9 - 34341857/3128651*c_1001_2^8 - 23051720/3128651*c_1001_2^7 - 32927350/3128651*c_1001_2^6 + 143228693/3128651*c_1001_2^5 + 1114387/3128651*c_1001_2^4 - 71848833/3128651*c_1001_2^3 - 7163098/3128651*c_1001_2^2 + 4396105/3128651*c_1001_2 - 664785/3128651, c_0101_2 - 2700364/3128651*c_1001_2^10 - 4827852/3128651*c_1001_2^9 + 8712815/3128651*c_1001_2^8 + 8448089/3128651*c_1001_2^7 + 15746683/3128651*c_1001_2^6 - 35440487/3128651*c_1001_2^5 - 4118560/3128651*c_1001_2^4 + 17387994/3128651*c_1001_2^3 - 7778924/3128651*c_1001_2^2 - 1512096/3128651*c_1001_2 + 1108342/3128651, c_1001_0 + 3972540/3128651*c_1001_2^10 + 9591996/3128651*c_1001_2^9 - 9214351/3128651*c_1001_2^8 - 22599221/3128651*c_1001_2^7 - 29752646/3128651*c_1001_2^6 + 42479447/3128651*c_1001_2^5 + 50708889/3128651*c_1001_2^4 - 26442401/3128651*c_1001_2^3 - 15625227/3128651*c_1001_2^2 + 94325/3128651*c_1001_2 - 1476425/3128651, c_1001_2^11 + 2*c_1001_2^10 - 13/4*c_1001_2^9 - 5*c_1001_2^8 - 25/4*c_1001_2^7 + 57/4*c_1001_2^6 + 9*c_1001_2^5 - 31/4*c_1001_2^4 - 17/4*c_1001_2^3 + 1/2*c_1001_2^2 - 1/4*c_1001_2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB