Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 4290667481] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s109 geometric_solution 3.97517672 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 0 1 -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 1 -1 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 0.988292322617 1.705998937925 0 3 0 2 0132 1302 2310 2031 0 0 0 0 0 0 0 0 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 0 0 -1 1 0 0 -1 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 0.745754271777 0.438881222077 4 1 4 0 0132 1302 1023 0132 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 -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 0.573050162282 0.635677415098 3 3 0 1 1230 3012 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.444941287722 0.870725157483 2 5 2 5 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759310224765 0.133110028968 4 4 5 5 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599536850065 0.076615913854 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], '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' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), '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_0110_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 8392025026518131/607513900178295*c_0110_5^14 + 19185188615690279/1215027800356590*c_0110_5^13 - 5169409989872039/36819024253230*c_0110_5^12 - 311253069908258321/1215027800356590*c_0110_5^11 + 1789966987727778127/1215027800356590*c_0110_5^10 + 381809672177039569/1215027800356590*c_0110_5^9 - 734108164758882869/405009266785530*c_0110_5^8 + 20793251521076627/110457072759690*c_0110_5^7 - 1072769688076594091/607513900178295*c_0110_5^6 - 426451661711028277/1215027800356590*c_0110_5^5 + 512777085767085916/607513900178295*c_0110_5^4 + 79600804908417191/405009266785530*c_0110_5^3 + 8358880721952781/12273008084410*c_0110_5^2 + 14801230911530809/121502780035659*c_0110_5 + 115712308621213783/1215027800356590, c_0011_0 - 1, c_0011_2 + 3947305112482/55228536379845*c_0110_5^14 - 4693835137139/55228536379845*c_0110_5^13 + 12855754054909/18409512126615*c_0110_5^12 + 72274534196261/55228536379845*c_0110_5^11 - 440714384883277/55228536379845*c_0110_5^10 - 114181708815784/55228536379845*c_0110_5^9 + 76703467802068/6136504042205*c_0110_5^8 + 86451086536238/55228536379845*c_0110_5^7 + 258027665330077/55228536379845*c_0110_5^6 - 128651860353638/55228536379845*c_0110_5^5 - 321012671419382/55228536379845*c_0110_5^4 - 24735512585411/18409512126615*c_0110_5^3 - 11037615503551/6136504042205*c_0110_5^2 + 26278657452709/11045707275969*c_0110_5 - 2472343854898/55228536379845, c_0011_3 + 4542479536328/18409512126615*c_0110_5^14 - 1069274114950/3681902425323*c_0110_5^13 + 15453866879853/6136504042205*c_0110_5^12 + 82991510799778/18409512126615*c_0110_5^11 - 487648279066048/18409512126615*c_0110_5^10 - 83088560276087/18409512126615*c_0110_5^9 + 603077368971208/18409512126615*c_0110_5^8 - 40528743424309/6136504042205*c_0110_5^7 + 118629971829131/3681902425323*c_0110_5^6 + 31865103205720/3681902425323*c_0110_5^5 - 314628835233206/18409512126615*c_0110_5^4 - 14378277886549/6136504042205*c_0110_5^3 - 16108367440064/1227300808441*c_0110_5^2 - 65972783547194/18409512126615*c_0110_5 - 19261212067504/18409512126615, c_0101_0 - 10383282933122/55228536379845*c_0110_5^14 + 15713587128508/55228536379845*c_0110_5^13 - 35813877994976/18409512126615*c_0110_5^12 - 31236005260427/11045707275969*c_0110_5^11 + 1202279422432937/55228536379845*c_0110_5^10 - 25015124274119/11045707275969*c_0110_5^9 - 575831938901779/18409512126615*c_0110_5^8 + 541551103465961/55228536379845*c_0110_5^7 - 910894259714639/55228536379845*c_0110_5^6 + 280596647926576/55228536379845*c_0110_5^5 + 167418605431460/11045707275969*c_0110_5^4 - 10505415991499/18409512126615*c_0110_5^3 + 29999101739557/6136504042205*c_0110_5^2 - 158124150495661/55228536379845*c_0110_5 + 1696531880806/11045707275969, c_0101_2 - 16597048253044/55228536379845*c_0110_5^14 + 15442589954237/55228536379845*c_0110_5^13 - 10742809189217/3681902425323*c_0110_5^12 - 346537272029846/55228536379845*c_0110_5^11 + 1738456217015104/55228536379845*c_0110_5^10 + 831894787821664/55228536379845*c_0110_5^9 - 818911714130198/18409512126615*c_0110_5^8 - 440135693880062/55228536379845*c_0110_5^7 - 1555985140187716/55228536379845*c_0110_5^6 - 801888450551521/55228536379845*c_0110_5^5 + 1222726307979872/55228536379845*c_0110_5^4 + 230222360791472/18409512126615*c_0110_5^3 + 64745565910953/6136504042205*c_0110_5^2 + 221338597412224/55228536379845*c_0110_5 + 38045073588433/55228536379845, c_0110_5^15 - c_0110_5^14 + 10*c_0110_5^13 + 20*c_0110_5^12 - 104*c_0110_5^11 - 38*c_0110_5^10 + 128*c_0110_5^9 + 5*c_0110_5^8 + 126*c_0110_5^7 + 44*c_0110_5^6 - 58*c_0110_5^5 - 23*c_0110_5^4 - 51*c_0110_5^3 - 16*c_0110_5^2 - 8*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB