Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 54697760] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s305 geometric_solution 4.46964708 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 1 1 0 3201 0132 1023 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 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 2.087646340542 0.337702779092 2 0 0 2 0132 0132 1023 3201 0 0 0 0 0 1 0 -1 1 0 -1 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 -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 -0.464953925806 0.431075646505 1 1 3 4 0132 2310 0132 0132 0 0 0 0 0 1 0 -1 -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 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214713450851 0.513088103796 5 4 4 2 0132 3012 2031 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 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 0.859604577930 0.798221490150 3 5 2 3 1230 2310 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859604577930 0.798221490150 3 5 5 4 0132 1230 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733657440485 1.111578093356 ==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_0' : negation(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_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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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_0'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} 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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 21579423471285784250443479/110841186565366250115203*c_0101_3^18 - 359820631698998411996737255/110841186565366250115203*c_0101_3^17 + 2709679396662784259379350682/110841186565366250115203*c_0101_3^16 - 11892104033675524791460919082/110841186565366250115203*c_0101_3^15 + 32485532594972704624694123021/110841186565366250115203*c_0101_3^14 - 54491911966761852429361622035/110841186565366250115203*c_0101_3^13 + 44757052274888440178066410548/110841186565366250115203*c_0101_3^12 + 27261562337800884210997871227/110841186565366250115203*c_0101_3^11 - 126378797302065352651233664243/110841186565366250115203*c_0101_3^10 + 150309540893111075461885154258/110841186565366250115203*c_0101_3^\ 9 - 2695772093509511590671977354/5833746661335065795537*c_0101_3^8 - 71107036884927230364920589750/110841186565366250115203*c_0101_3^7 + 97214366330285799301344013384/110841186565366250115203*c_0101_3^6 - 41993597680299323983990321455/110841186565366250115203*c_0101_3^5 - 70593178324606893508426729/5833746661335065795537*c_0101_3^4 + 8854798984484506530616358441/110841186565366250115203*c_0101_3^3 - 4107777649899284478002036898/110841186565366250115203*c_0101_3^2 + 848396539642270658228783790/110841186565366250115203*c_0101_3 - 63525531005352892633519871/110841186565366250115203, c_0011_0 - 1, c_0011_3 - 888462506038683747750408/110841186565366250115203*c_0101_3^1\ 8 + 14967223824908699470262847/110841186565366250115203*c_0101_3^17 - 114069260379027296083633880/110841186565366250115203*c_0101_3^16 + 508141992979598499953938972/110841186565366250115203*c_0101_3^15 - 1416824081383923322607138690/110841186565366250115203*c_0101_3^14 + 2452861208710674570221208915/110841186565366250115203*c_0101_3^13 - 2174534463026758058690732392/110841186565366250115203*c_0101_3^12 - 889794846283989713361872260/110841186565366250115203*c_0101_3^11 + 5452702952795501488682425371/110841186565366250115203*c_0101_3^10 - 7014797450081292861641193821/110841186565366250115203*c_0101_3^9 + 155815693723318716777555783/5833746661335065795537*c_0101_3^8 + 2776168538631598093940790297/110841186565366250115203*c_0101_3^7 - 4534890984672313811440684385/110841186565366250115203*c_0101_3^6 + 2278498992098236634393031761/110841186565366250115203*c_0101_3^5 - 5643626583822655319933791/5833746661335065795537*c_0101_3^4 - 410088355378373119312671222/110841186565366250115203*c_0101_3^3 + 219688500155746638469735397/110841186565366250115203*c_0101_3^2 - 51900439702027082927541020/110841186565366250115203*c_0101_3 + 4658869957890669938954211/110841186565366250115203, c_0101_0 - 293476370404361887546695/110841186565366250115203*c_0101_3^1\ 8 + 4985760420197683999336452/110841186565366250115203*c_0101_3^17 - 38371011847443939357863951/110841186565366250115203*c_0101_3^16 + 173009040804596305951673859/110841186565366250115203*c_0101_3^15 - 490358516714169459935540155/110841186565366250115203*c_0101_3^14 + 870099044613243536688664903/110841186565366250115203*c_0101_3^13 - 815289819595452529507772641/110841186565366250115203*c_0101_3^12 - 221991871328871508822634495/110841186565366250115203*c_0101_3^11 + 1866632760730924629525365120/110841186565366250115203*c_0101_3^10 - 2555273356544774349402818371/110841186565366250115203*c_0101_3^9 + 64966907857412837482810421/5833746661335065795537*c_0101_3^8 + 860340851528868712604048292/110841186565366250115203*c_0101_3^7 - 1650214788684093914437927508/110841186565366250115203*c_0101_3^6 + 919279935359076664295746496/110841186565366250115203*c_0101_3^5 - 4629020533262494888246229/5833746661335065795537*c_0101_3^4 - 148915289599829406338737531/110841186565366250115203*c_0101_3^3 + 87316501791175333549939117/110841186565366250115203*c_0101_3^2 - 22255946279430819486071123/110841186565366250115203*c_0101_3 + 2258957800187640970121462/110841186565366250115203, c_0101_1 - 1745788386857027260908349/110841186565366250115203*c_0101_3^\ 18 + 29278720452555264184122496/110841186565366250115203*c_0101_3^1\ 7 - 221992226865374775066829463/110841186565366250115203*c_0101_3^1\ 6 + 982635844255283088454554763/110841186565366250115203*c_0101_3^1\ 5 - 2716340952032020377838306566/110841186565366250115203*c_0101_3^\ 14 + 4641961783600314270464819286/110841186565366250115203*c_0101_3\ ^13 - 3992834020579724389834968218/110841186565366250115203*c_0101_\ 3^12 - 1941045884383016683667577774/110841186565366250115203*c_0101\ _3^11 + 10496407205305144752033675966/110841186565366250115203*c_01\ 01_3^10 - 13082061112578627025338839226/110841186565366250115203*c_\ 0101_3^9 + 268675642448786526050572396/5833746661335065795537*c_010\ 1_3^8 + 5569406902639914324235873736/110841186565366250115203*c_010\ 1_3^7 - 8455019041105925247832271491/110841186565366250115203*c_010\ 1_3^6 + 4018249673483591576228586501/110841186565366250115203*c_010\ 1_3^5 - 4243846094560891600817571/5833746661335065795537*c_0101_3^4 - 765771018365130271021468138/110841186565366250115203*c_0101_3^3 + 389461617664587108572816647/110841186565366250115203*c_0101_3^2 - 88134281654864105820086224/110841186565366250115203*c_0101_3 + 7594617062121565526259668/110841186565366250115203, c_0101_2 - 586322326931939221813557/110841186565366250115203*c_0101_3^1\ 8 + 9761711512297635105023652/110841186565366250115203*c_0101_3^17 - 73387586162843955808868907/110841186565366250115203*c_0101_3^16 + 321432511889400315594497586/110841186565366250115203*c_0101_3^15 - 875769171051506204712059659/110841186565366250115203*c_0101_3^14 + 1463633940698977110834005501/110841186565366250115203*c_0101_3^13 - 1192339910617029192818095777/110841186565366250115203*c_0101_3^12 - 750932307617253414622193174/110841186565366250115203*c_0101_3^11 + 3403120760580430027017175315/110841186565366250115203*c_0101_3^10 - 4017553094868216042754307127/110841186565366250115203*c_0101_3^9 + 70660360927579705853554283/5833746661335065795537*c_0101_3^8 + 1918685175696515066282147959/110841186565366250115203*c_0101_3^7 - 2592342913749742303411448439/110841186565366250115203*c_0101_3^6 + 1111860827353527250438829434/110841186565366250115203*c_0101_3^5 + 1820561443078786746177791/5833746661335065795537*c_0101_3^4 - 234747673903456177760392219/110841186565366250115203*c_0101_3^3 + 109762198396898322350148318/110841186565366250115203*c_0101_3^2 - 22930123952172486181624357/110841186565366250115203*c_0101_3 + 1759831692279365994323897/110841186565366250115203, c_0101_3^19 - 17*c_0101_3^18 + 131*c_0101_3^17 - 592*c_0101_3^16 + 1685*c_0101_3^15 - 3016*c_0101_3^14 + 2898*c_0101_3^13 + 585*c_0101_3^12 - 6265*c_0101_3^11 + 8873*c_0101_3^10 - 4648*c_0101_3^9 - 2513*c_0101_3^8 + 5573*c_0101_3^7 - 3416*c_0101_3^6 + 578*c_0101_3^5 + 427*c_0101_3^4 - 324*c_0101_3^3 + 102*c_0101_3^2 - 16*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB