Magma V2.19-8 Tue Aug 20 2013 23:42:52 on localhost [Seed = 1764690979] Type ? for help. Type -D to quit. Loading file "L13n5988__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5988 geometric_solution 10.31729165 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1230 0132 0132 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 0 0 0 0 0 0 0 1 0 -1 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 -0.185843781878 0.679872477527 0 4 0 5 0132 0132 3012 0132 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 0 0 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 1.374108421625 1.368601181617 6 7 7 0 0132 0132 1023 0132 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 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 0.269118425701 0.994356838001 8 8 0 6 0132 1302 0132 2031 1 1 1 0 0 0 0 0 0 0 0 0 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 0 1 -1 0 0 0 0 -5 5 0 0 4 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515542650722 0.850821697960 9 1 10 9 0132 0132 0132 2031 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 -4 0 4 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 0.321089064937 0.880317505539 10 7 1 6 2103 1302 0132 2103 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 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 0 0 0 0 0 0 0 0.306360090222 0.421095867629 2 3 9 5 0132 1302 2031 2103 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 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 0.281432219148 0.876404326101 10 2 2 5 1023 0132 1023 2031 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 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 0.987288840224 0.803955410238 3 9 10 3 0132 1230 3201 2031 1 1 0 1 0 -1 0 1 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 4 1 -5 0 0 0 0 -4 -1 0 5 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505381937931 0.887570225098 4 4 8 6 0132 1302 3012 1302 1 1 1 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 4 0 -4 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 0.634318695672 1.002574328439 8 7 5 4 2310 1023 2103 0132 1 1 1 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 0 0 0 0 0 0 0 5 0 -1 -4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476681193025 0.634999080261 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_5'], 'c_1001_5' : d['c_0110_7'], 'c_1001_4' : d['c_0110_7'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_10' : d['c_0110_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_2_10' : 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' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : negation(d['c_1010_5']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1010_5'], 'c_1100_3' : d['c_1010_5'], 'c_1100_2' : d['c_1010_5'], 'c_1100_10' : negation(d['c_0110_5']), 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_1010_5']), 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0110_7'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0011_3'], 'c_1100_8' : negation(d['c_0011_10']), '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' : 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' : negation(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_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_10'], '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_10']), 'c_0110_10' : d['c_0101_4'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : negation(d['c_0101_4']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_2']})} 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_10, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_5, c_0110_7, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 39458799143/63640850*c_1010_5^11 - 42976500601/18183100*c_1010_5^10 + 183176120454/31820425*c_1010_5^9 - 360219447137/31820425*c_1010_5^8 + 4070206497039/127281700*c_1010_5^7 - 3084081742422/31820425*c_1010_5^6 + 7312883934751/31820425*c_1010_5^5 - 23851133795873/63640850*c_1010_5^4 + 3323975721259/9091550*c_1010_5^3 - 128174180357/699350*c_1010_5^2 + 5430565997/129220*c_1010_5 - 211494605079/63640850, c_0011_0 - 1, c_0011_10 - 446201/19700*c_1010_5^11 + 1673937/19700*c_1010_5^10 - 4049381/19700*c_1010_5^9 + 7930043/19700*c_1010_5^8 - 11299487/9850*c_1010_5^7 + 17127327/4925*c_1010_5^6 - 161616839/19700*c_1010_5^5 + 261071061/19700*c_1010_5^4 - 249944891/19700*c_1010_5^3 + 120829959/19700*c_1010_5^2 - 26827/20*c_1010_5 + 512182/4925, c_0011_3 - 170589/9850*c_1010_5^11 + 1252511/19700*c_1010_5^10 - 752467/4925*c_1010_5^9 + 5867579/19700*c_1010_5^8 - 8456661/9850*c_1010_5^7 + 51222049/19700*c_1010_5^6 - 120077567/19700*c_1010_5^5 + 191833533/19700*c_1010_5^4 - 89938099/9850*c_1010_5^3 + 42028551/9850*c_1010_5^2 - 4614/5*c_1010_5 + 360196/4925, c_0011_5 - 28532/4925*c_1010_5^11 + 103459/4925*c_1010_5^10 - 493259/9850*c_1010_5^9 + 1913429/19700*c_1010_5^8 - 5561297/19700*c_1010_5^7 + 8432437/9850*c_1010_5^6 - 39343167/19700*c_1010_5^5 + 15550727/4925*c_1010_5^4 - 14239462/4925*c_1010_5^3 + 25017327/19700*c_1010_5^2 - 1184/5*c_1010_5 + 313809/19700, c_0101_0 - 1, c_0101_1 - 44191/9850*c_1010_5^11 + 72571/4925*c_1010_5^10 - 664017/19700*c_1010_5^9 + 312969/4925*c_1010_5^8 - 3871143/19700*c_1010_5^7 + 11722481/19700*c_1010_5^6 - 26420273/19700*c_1010_5^5 + 19508951/9850*c_1010_5^4 - 30467637/19700*c_1010_5^3 + 8438113/19700*c_1010_5^2 - 199/20*c_1010_5 - 106279/19700, c_0101_2 + 44451/9850*c_1010_5^11 - 328999/19700*c_1010_5^10 + 197753/4925*c_1010_5^9 - 771393/9850*c_1010_5^8 + 2215949/9850*c_1010_5^7 - 13438741/19700*c_1010_5^6 + 31560803/19700*c_1010_5^5 - 50538347/19700*c_1010_5^4 + 47527257/19700*c_1010_5^3 - 5528417/4925*c_1010_5^2 + 4619/20*c_1010_5 - 346331/19700, c_0101_4 + 414067/19700*c_1010_5^11 - 1560429/19700*c_1010_5^10 + 3781627/19700*c_1010_5^9 - 7413981/19700*c_1010_5^8 + 5269052/4925*c_1010_5^7 - 15973309/4925*c_1010_5^6 + 150941313/19700*c_1010_5^5 - 244464487/19700*c_1010_5^4 + 235248997/19700*c_1010_5^3 - 114835153/19700*c_1010_5^2 + 25779/20*c_1010_5 - 494644/4925, c_0110_5 + 250609/19700*c_1010_5^11 - 238277/4925*c_1010_5^10 + 579576/4925*c_1010_5^9 - 4556037/19700*c_1010_5^8 + 12887341/19700*c_1010_5^7 - 39066547/19700*c_1010_5^6 + 92553351/19700*c_1010_5^5 - 150697499/19700*c_1010_5^4 + 146547719/19700*c_1010_5^3 - 72999131/19700*c_1010_5^2 + 4217/5*c_1010_5 - 1338277/19700, c_0110_7 - 21762/4925*c_1010_5^11 + 301001/19700*c_1010_5^10 - 702013/19700*c_1010_5^9 + 1342489/19700*c_1010_5^8 - 2008851/9850*c_1010_5^7 + 12192409/19700*c_1010_5^6 - 27968247/19700*c_1010_5^5 + 21390189/9850*c_1010_5^4 - 18167059/9850*c_1010_5^3 + 13110507/19700*c_1010_5^2 - 1481/20*c_1010_5 + 4611/4925, c_1010_5^12 - 4*c_1010_5^11 + 10*c_1010_5^10 - 20*c_1010_5^9 + 55*c_1010_5^8 - 166*c_1010_5^7 + 400*c_1010_5^6 - 674*c_1010_5^5 + 703*c_1010_5^4 - 406*c_1010_5^3 + 123*c_1010_5^2 - 18*c_1010_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB