Magma V2.19-8 Tue Aug 20 2013 23:38:12 on localhost [Seed = 2412374957] Type ? for help. Type -D to quit. Loading file "K10a65__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10a65 geometric_solution 9.11590640 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791314164860 0.733969263288 0 4 5 3 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320695642487 0.630076575111 0 0 6 5 3012 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358406209564 1.260551016392 3 3 1 0 1230 3012 2031 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586887272593 0.543054117151 5 1 6 7 0321 0132 3120 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 -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 0 0 0 1.180170149755 0.651116202799 4 8 2 1 0321 0132 2031 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 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 0.547439272976 1.198330452234 9 8 4 2 0132 2310 3120 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 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 -0.237655432955 0.616090197630 9 8 4 9 3120 0213 0132 2031 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 -1 1 1 -3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.035724746435 0.787516818488 9 5 7 6 2310 0132 0213 3201 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 -2 0 3 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416818264540 0.843784495795 6 7 8 7 0132 1302 3201 3120 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 -1 1 0 0 0 0 0 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.057485283200 1.267206400429 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0110_2']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_1001_1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_0011_5'], 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0101_4']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : negation(d['c_0110_2']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0011_7'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : negation(d['c_0011_7']), 'c_0110_6' : d['c_0101_2']})} 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_5, c_0011_6, c_0011_7, c_0101_2, c_0101_3, c_0101_4, c_0110_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 12916088143830346480406/7730908873750633773125*c_1001_1^20 + 2439301453256209050189/309236354950025350925*c_1001_1^19 - 72320084914059494402967/7730908873750633773125*c_1001_1^18 + 1539706524401093261867/454759345514743163125*c_1001_1^17 - 12143687133234453077896/454759345514743163125*c_1001_1^16 + 60246837059281798336116/1104415553392947681875*c_1001_1^15 - 242319212367940556756539/7730908873750633773125*c_1001_1^14 + 42813860662528239505071/1546181774750126754625*c_1001_1^13 - 434552940605382397295184/7730908873750633773125*c_1001_1^12 + 29681726767408436039969/702809897613693979375*c_1001_1^11 + 218937786006831178629581/7730908873750633773125*c_1001_1^10 - 2841247535951299995202/61847270990005070185*c_1001_1^9 + 7485426822693861039093/1546181774750126754625*c_1001_1^8 - 2859489297136386816521/220883110678589536375*c_1001_1^7 + 750538358049941580059623/7730908873750633773125*c_1001_1^6 - 747285456734974395835979/7730908873750633773125*c_1001_1^5 - 41199802945995504947781/7730908873750633773125*c_1001_1^4 + 693584824282439015565901/7730908873750633773125*c_1001_1^3 - 703758498304992282401639/7730908873750633773125*c_1001_1^2 + 71001708849837143598876/1546181774750126754625*c_1001_1 - 158191076938767394586501/7730908873750633773125, c_0011_0 - 1, c_0011_3 - 8276964198809694/9449544841864793*c_1001_1^20 + 36352154182889939/9449544841864793*c_1001_1^19 - 34196630510017219/9449544841864793*c_1001_1^18 + 4534377282771431/9449544841864793*c_1001_1^17 - 129521226295951839/9449544841864793*c_1001_1^16 + 227424454021917267/9449544841864793*c_1001_1^15 - 76450054925019929/9449544841864793*c_1001_1^14 + 104546464758049131/9449544841864793*c_1001_1^13 - 242909966730827402/9449544841864793*c_1001_1^12 + 120653730550913789/9449544841864793*c_1001_1^11 + 188213008915915442/9449544841864793*c_1001_1^10 - 162211999659438130/9449544841864793*c_1001_1^9 - 20633497390956189/9449544841864793*c_1001_1^8 - 61666802611944718/9449544841864793*c_1001_1^7 + 455424574216724281/9449544841864793*c_1001_1^6 - 324537552393071844/9449544841864793*c_1001_1^5 - 137018661165789697/9449544841864793*c_1001_1^4 + 418209085701608630/9449544841864793*c_1001_1^3 - 314396719532159907/9449544841864793*c_1001_1^2 + 127537719334049574/9449544841864793*c_1001_1 - 31102939536289028/9449544841864793, c_0011_5 - 77122801926224/9449544841864793*c_1001_1^20 + 50002309371843/9449544841864793*c_1001_1^19 + 826970418156638/9449544841864793*c_1001_1^18 - 867231961428589/9449544841864793*c_1001_1^17 - 601392814688275/9449544841864793*c_1001_1^16 - 2614119303958624/9449544841864793*c_1001_1^15 + 4715789061796689/9449544841864793*c_1001_1^14 - 2513437820455817/9449544841864793*c_1001_1^13 + 4661433023732705/9449544841864793*c_1001_1^12 - 3097875319510417/9449544841864793*c_1001_1^11 + 5241131772867910/9449544841864793*c_1001_1^10 + 1297780791006141/9449544841864793*c_1001_1^9 - 3891381936047844/9449544841864793*c_1001_1^8 + 2175959374886684/9449544841864793*c_1001_1^7 - 2288955220370887/9449544841864793*c_1001_1^6 + 3611570067202911/9449544841864793*c_1001_1^5 - 5995731510445145/9449544841864793*c_1001_1^4 + 8561777939035922/9449544841864793*c_1001_1^3 + 9616987089249855/9449544841864793*c_1001_1^2 - 14821341030883106/9449544841864793*c_1001_1 + 9517421890238428/9449544841864793, c_0011_6 + 77122801926224/9449544841864793*c_1001_1^20 - 50002309371843/9449544841864793*c_1001_1^19 - 826970418156638/9449544841864793*c_1001_1^18 + 867231961428589/9449544841864793*c_1001_1^17 + 601392814688275/9449544841864793*c_1001_1^16 + 2614119303958624/9449544841864793*c_1001_1^15 - 4715789061796689/9449544841864793*c_1001_1^14 + 2513437820455817/9449544841864793*c_1001_1^13 - 4661433023732705/9449544841864793*c_1001_1^12 + 3097875319510417/9449544841864793*c_1001_1^11 - 5241131772867910/9449544841864793*c_1001_1^10 - 1297780791006141/9449544841864793*c_1001_1^9 + 3891381936047844/9449544841864793*c_1001_1^8 - 2175959374886684/9449544841864793*c_1001_1^7 + 2288955220370887/9449544841864793*c_1001_1^6 - 3611570067202911/9449544841864793*c_1001_1^5 + 5995731510445145/9449544841864793*c_1001_1^4 - 8561777939035922/9449544841864793*c_1001_1^3 - 9616987089249855/9449544841864793*c_1001_1^2 + 14821341030883106/9449544841864793*c_1001_1 - 9517421890238428/9449544841864793, c_0011_7 - 1206100145885591/9449544841864793*c_1001_1^20 + 5484700009841406/9449544841864793*c_1001_1^19 - 6669071381144265/9449544841864793*c_1001_1^18 + 4626106541073583/9449544841864793*c_1001_1^17 - 20067384729171839/9449544841864793*c_1001_1^16 + 34845780885350403/9449544841864793*c_1001_1^15 - 30507837397938680/9449544841864793*c_1001_1^14 + 31653416921930099/9449544841864793*c_1001_1^13 - 31496170242807143/9449544841864793*c_1001_1^12 + 34279349252807960/9449544841864793*c_1001_1^11 + 2525721700021071/9449544841864793*c_1001_1^10 - 30869709077747321/9449544841864793*c_1001_1^9 + 24301552848481409/9449544841864793*c_1001_1^8 - 4373428214049442/9449544841864793*c_1001_1^7 + 55954692763651989/9449544841864793*c_1001_1^6 - 71897676384692428/9449544841864793*c_1001_1^5 + 25262504996213688/9449544841864793*c_1001_1^4 + 61016447987422173/9449544841864793*c_1001_1^3 - 83726996582244767/9449544841864793*c_1001_1^2 + 43329739288946153/9449544841864793*c_1001_1 - 13692045146167974/9449544841864793, c_0101_2 + c_1001_1, c_0101_3 + 7434451157845043/9449544841864793*c_1001_1^20 - 33329040202167631/9449544841864793*c_1001_1^19 + 33833165835142216/9449544841864793*c_1001_1^18 - 7322093033548544/9449544841864793*c_1001_1^17 + 116602922925990596/9449544841864793*c_1001_1^16 - 214836220820233294/9449544841864793*c_1001_1^15 + 90669279135542200/9449544841864793*c_1001_1^14 - 101802658238704822/9449544841864793*c_1001_1^13 + 224905379920038979/9449544841864793*c_1001_1^12 - 134718455230511104/9449544841864793*c_1001_1^11 - 154109030317469614/9449544841864793*c_1001_1^10 + 161880838294080140/9449544841864793*c_1001_1^9 + 9506253773733442/9449544841864793*c_1001_1^8 + 50281750331308388/9449544841864793*c_1001_1^7 - 412370943106370356/9449544841864793*c_1001_1^6 + 329717142357687970/9449544841864793*c_1001_1^5 + 92167913197391286/9449544841864793*c_1001_1^4 - 393468471479985013/9449544841864793*c_1001_1^3 + 320720547027725358/9449544841864793*c_1001_1^2 - 140896330050931505/9449544841864793*c_1001_1 + 36844689049132646/9449544841864793, c_0101_4 + 1421215174142016/9449544841864793*c_1001_1^20 - 6655188165642372/9449544841864793*c_1001_1^19 + 8943502160821165/9449544841864793*c_1001_1^18 - 6732114455653616/9449544841864793*c_1001_1^17 + 22626765172404450/9449544841864793*c_1001_1^16 - 43569697311404180/9449544841864793*c_1001_1^15 + 45925033256212611/9449544841864793*c_1001_1^14 - 35510953426566902/9449544841864793*c_1001_1^13 + 32559447856332776/9449544841864793*c_1001_1^12 - 55900925437901504/9449544841864793*c_1001_1^11 - 6192043961654331/9449544841864793*c_1001_1^10 + 54387162791225743/9449544841864793*c_1001_1^9 - 25687318797347339/9449544841864793*c_1001_1^8 + 3936876728349286/9449544841864793*c_1001_1^7 - 78136363082557411/9449544841864793*c_1001_1^6 + 99536757849697853/9449544841864793*c_1001_1^5 - 41432623810672368/9449544841864793*c_1001_1^4 - 86106853419296168/9449544841864793*c_1001_1^3 + 108920031919212004/9449544841864793*c_1001_1^2 - 64301182040280681/9449544841864793*c_1001_1 + 25163334055792655/9449544841864793, c_0110_2 - 2401784346686512/9449544841864793*c_1001_1^20 + 9586921320516992/9449544841864793*c_1001_1^19 - 5259686322674871/9449544841864793*c_1001_1^18 - 3865072050264415/9449544841864793*c_1001_1^17 - 37779701591949185/9449544841864793*c_1001_1^16 + 51254313979772097/9449544841864793*c_1001_1^15 + 11708361076651019/9449544841864793*c_1001_1^14 + 21911021215954158/9449544841864793*c_1001_1^13 - 64142327711423172/9449544841864793*c_1001_1^12 - 3832768492546174/9449544841864793*c_1001_1^11 + 68012104012616924/9449544841864793*c_1001_1^10 - 17092877920978541/9449544841864793*c_1001_1^9 - 30609093149885664/9449544841864793*c_1001_1^8 - 25642401017070417/9449544841864793*c_1001_1^7 + 124413144787524844/9449544841864793*c_1001_1^6 - 35436161414514087/9449544841864793*c_1001_1^5 - 88251824759705522/9449544841864793*c_1001_1^4 + 95369840300227564/9449544841864793*c_1001_1^3 - 34410056421290232/9449544841864793*c_1001_1^2 - 1816978587783041/9449544841864793*c_1001_1 + 4540131944915824/9449544841864793, c_1001_1^21 - 5*c_1001_1^20 + 7*c_1001_1^19 - 4*c_1001_1^18 + 17*c_1001_1^17 - 37*c_1001_1^16 + 29*c_1001_1^15 - 25*c_1001_1^14 + 39*c_1001_1^13 - 34*c_1001_1^12 - 6*c_1001_1^11 + 30*c_1001_1^10 - 15*c_1001_1^9 + 10*c_1001_1^8 - 58*c_1001_1^7 + 74*c_1001_1^6 - 19*c_1001_1^5 - 51*c_1001_1^4 + 74*c_1001_1^3 - 50*c_1001_1^2 + 21*c_1001_1 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB