Magma V2.19-8 Wed Aug 21 2013 00:38:02 on localhost [Seed = 1848146046] Type ? for help. Type -D to quit. Loading file "K14n24766__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n24766 geometric_solution 11.27682831 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 -1 1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313936907517 1.220620201171 0 5 7 6 0132 0132 0132 0132 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 0 3 -3 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563396624016 0.351835176810 8 0 3 9 0132 0132 3012 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 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 1.017121526458 1.458308902361 6 2 10 0 0132 1230 0132 0132 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 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466684897169 0.543941043242 8 10 0 11 2310 2103 0132 0132 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 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.229766248714 0.945324890063 5 1 5 12 2031 0132 1302 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 -3 -1 4 1 0 -1 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 0.573437371151 0.297657147075 3 12 1 9 0132 1023 0132 3120 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 3 0 -4 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 1.167178443204 0.618603171899 10 12 11 1 0132 0132 1302 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 -3 3 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.395710120462 1.311637319036 2 12 4 9 0132 2310 3201 2031 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 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313936907517 1.220620201171 6 8 2 11 3120 1302 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.091463509336 1.058937817686 7 4 11 3 0132 2103 0132 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 3 -3 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247590768539 0.853710947541 7 9 4 10 2031 0321 0132 0132 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 0 0 0 0 0 0 0 3 0 0 -3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686642978711 1.080477762326 6 7 5 8 1023 0132 0132 3201 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 -4 4 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 0.563396624016 0.351835176810 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_11']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_4'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_1001_11']), 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_12' : d['c_0101_1'], 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : negation(d['c_1001_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_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_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_4']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0011_9'], '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'], 'c_1100_12' : negation(d['c_0011_0']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0011_9']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_1001_1, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 96607798820847102513070/7078717437139977721*c_1100_0^11 - 741115099861739199501450/7078717437139977721*c_1100_0^10 - 2157403367129247411817198/7078717437139977721*c_1100_0^9 - 26129993763954485953556366/7078717437139977721*c_1100_0^8 - 139343720962975284460738417/7078717437139977721*c_1100_0^7 - 954784199879681213360425/244093704728964749*c_1100_0^6 + 104886769902804404185366091/7078717437139977721*c_1100_0^5 - 35078303451735504105813389/7078717437139977721*c_1100_0^4 - 9702085070808603821440058/7078717437139977721*c_1100_0^3 + 13716143134420115335990299/7078717437139977721*c_1100_0^2 - 1310137464427217872880907/7078717437139977721*c_1100_0 - 964025824625043664188436/7078717437139977721, c_0011_0 - 1, c_0011_10 + 262430156781033637/50926024727625739*c_1100_0^11 + 2041035854112773693/50926024727625739*c_1100_0^10 + 6106337231923921572/50926024727625739*c_1100_0^9 + 71857558354626724117/50926024727625739*c_1100_0^8 + 386832923957535510033/50926024727625739*c_1100_0^7 + 4287108399409716072/1756069818193991*c_1100_0^6 - 228192484754958856256/50926024727625739*c_1100_0^5 + 86710544503471645023/50926024727625739*c_1100_0^4 + 14703208348499079153/50926024727625739*c_1100_0^3 - 25151015064131109954/50926024727625739*c_1100_0^2 + 619086431908911814/50926024727625739*c_1100_0 + 1185480229554349129/50926024727625739, c_0011_11 - 167106054327786528/50926024727625739*c_1100_0^11 - 1298430886538987555/50926024727625739*c_1100_0^10 - 3878822434596288444/50926024727625739*c_1100_0^9 - 45728273542233368087/50926024727625739*c_1100_0^8 - 245986853731456338331/50926024727625739*c_1100_0^7 - 2668194867844939004/1756069818193991*c_1100_0^6 + 145784777320326492518/50926024727625739*c_1100_0^5 - 56320020714675456955/50926024727625739*c_1100_0^4 - 9119228521002465685/50926024727625739*c_1100_0^3 + 15920467778385611813/50926024727625739*c_1100_0^2 - 434718149519013081/50926024727625739*c_1100_0 - 742713483025760180/50926024727625739, c_0011_4 + 269720892892004862/50926024727625739*c_1100_0^11 + 2097596670533864465/50926024727625739*c_1100_0^10 + 6275491642618671885/50926024727625739*c_1100_0^9 + 73855467587324535345/50926024727625739*c_1100_0^8 + 397556026945594267611/50926024727625739*c_1100_0^7 + 4404923510387585498/1756069818193991*c_1100_0^6 - 233658692155699741273/50926024727625739*c_1100_0^5 + 89714734642190651517/50926024727625739*c_1100_0^4 + 14784362887619471770/50926024727625739*c_1100_0^3 - 25670427717676793361/50926024727625739*c_1100_0^2 + 607843358740192018/50926024727625739*c_1100_0 + 1192073933545322908/50926024727625739, c_0011_9 - 102464389889113748/50926024727625739*c_1100_0^11 - 794383562704140690/50926024727625739*c_1100_0^10 - 2364907110705243821/50926024727625739*c_1100_0^9 - 28000317610556127410/50926024727625739*c_1100_0^8 - 150351960739578964220/50926024727625739*c_1100_0^7 - 1548833974036348562/1756069818193991*c_1100_0^6 + 89789808684425275814/50926024727625739*c_1100_0^5 - 35941975126862710632/50926024727625739*c_1100_0^4 - 4530129186945127304/50926024727625739*c_1100_0^3 + 9637195897162253532/50926024727625739*c_1100_0^2 - 410438549789922089/50926024727625739*c_1100_0 - 439254505644187691/50926024727625739, c_0101_0 - 132223607796891686/50926024727625739*c_1100_0^11 - 1029631552508231161/50926024727625739*c_1100_0^10 - 3086983829311062440/50926024727625739*c_1100_0^9 - 36238349283037652026/50926024727625739*c_1100_0^8 - 195263399737017801161/50926024727625739*c_1100_0^7 - 2229217672720564602/1756069818193991*c_1100_0^6 + 113618530668084663548/50926024727625739*c_1100_0^5 - 43126594089710845281/50926024727625739*c_1100_0^4 - 7657111362958527221/50926024727625739*c_1100_0^3 + 12463630236894551660/50926024727625739*c_1100_0^2 - 250988314329276973/50926024727625739*c_1100_0 - 560508666334496507/50926024727625739, c_0101_1 + 36352921898751717/50926024727625739*c_1100_0^11 + 280706885620909478/50926024727625739*c_1100_0^10 + 830358501959072322/50926024727625739*c_1100_0^9 + 9908520675268458644/50926024727625739*c_1100_0^8 + 53034865390885776478/50926024727625739*c_1100_0^7 + 492971547398085460/1756069818193991*c_1100_0^6 - 32276356347130594465/50926024727625739*c_1100_0^5 + 13560757514343401168/50926024727625739*c_1100_0^4 + 979973556120984693/50926024727625739*c_1100_0^3 - 3454866310103514402/50926024727625739*c_1100_0^2 + 234682042256536490/50926024727625739*c_1100_0 + 165465753813897507/50926024727625739, c_0101_11 - 159815318216815303/50926024727625739*c_1100_0^11 - 1241870070117896783/50926024727625739*c_1100_0^10 - 3709668023901538131/50926024727625739*c_1100_0^9 - 43730364309535556859/50926024727625739*c_1100_0^8 - 235263750743397580753/50926024727625739*c_1100_0^7 - 2550379756867069578/1756069818193991*c_1100_0^6 + 140318569919585607501/50926024727625739*c_1100_0^5 - 53315830575956450461/50926024727625739*c_1100_0^4 - 9038073981882073068/50926024727625739*c_1100_0^3 + 15401055124839928406/50926024727625739*c_1100_0^2 - 395035197960107138/50926024727625739*c_1100_0 - 736119779034786401/50926024727625739, c_0101_12 + 221914381538466253/50926024727625739*c_1100_0^11 + 1724297105218292644/50926024727625739*c_1100_0^10 + 5151019102525839591/50926024727625739*c_1100_0^9 + 60726474230400076210/50926024727625739*c_1100_0^8 + 326666920364409289687/50926024727625739*c_1100_0^7 + 3543323498575328181/1756069818193991*c_1100_0^6 - 193600037963838293413/50926024727625739*c_1100_0^5 + 74792158362877407679/50926024727625739*c_1100_0^4 + 12110201207875373996/50926024727625739*c_1100_0^3 - 21142146825002199659/50926024727625739*c_1100_0^2 + 577299303143678033/50926024727625739*c_1100_0 + 1067336337221864462/50926024727625739, c_0101_2 - 422245474997848940/50926024727625739*c_1100_0^11 - 3282905924230670476/50926024727625739*c_1100_0^10 - 9816005255825459703/50926024727625739*c_1100_0^9 - 115587922664162280976/50926024727625739*c_1100_0^8 - 622096674700933090786/50926024727625739*c_1100_0^7 - 6837488156276785650/1756069818193991*c_1100_0^6 + 368511054674544463757/50926024727625739*c_1100_0^5 - 140026375079428095484/50926024727625739*c_1100_0^4 - 23741282330381152221/50926024727625739*c_1100_0^3 + 40552070188971038360/50926024727625739*c_1100_0^2 - 1014121629869018952/50926024727625739*c_1100_0 - 1921600008589135530/50926024727625739, c_1001_1 + 498637090287612231/50926024727625739*c_1100_0^11 + 3874460429115890377/50926024727625739*c_1100_0^10 + 11574234872981230329/50926024727625739*c_1100_0^9 + 136451149148966860543/50926024727625739*c_1100_0^8 + 734013907361771530730/50926024727625739*c_1100_0^7 + 7961775627881045539/1756069818193991*c_1100_0^6 - 435015336571188387721/50926024727625739*c_1100_0^5 + 168056454373956766082/50926024727625739*c_1100_0^4 + 27211375102623656303/50926024727625739*c_1100_0^3 - 47505972696620987164/50926024727625739*c_1100_0^2 + 1297179759912021018/50926024727625739*c_1100_0 + 2306517454456955989/50926024727625739, c_1001_11 - 145969576320111167/50926024727625739*c_1100_0^11 - 1132439322979519656/50926024727625739*c_1100_0^10 - 3374751837818174616/50926024727625739*c_1100_0^9 - 39904922051601874890/50926024727625739*c_1100_0^8 - 214394998656791679190/50926024727625739*c_1100_0^7 - 2243228808858863814/1756069818193991*c_1100_0^6 + 127906877634154196255/50926024727625739*c_1100_0^5 - 50505032810747302616/50926024727625739*c_1100_0^4 - 6961918929866801315/50926024727625739*c_1100_0^3 + 13898224403336690094/50926024727625739*c_1100_0^2 - 519844349505866394/50926024727625739*c_1100_0 - 611007363295603115/50926024727625739, c_1100_0^12 + 8*c_1100_0^11 + 25*c_1100_0^10 + 279*c_1100_0^9 + 1535*c_1100_0^8 + 802*c_1100_0^7 - 763*c_1100_0^6 + 138*c_1100_0^5 + 130*c_1100_0^4 - 83*c_1100_0^3 - 19*c_1100_0^2 + 5*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 12.560 Total time: 12.769 seconds, Total memory usage: 117.16MB