Magma V2.19-8 Tue Aug 20 2013 16:18:38 on localhost [Seed = 71670069] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2805 geometric_solution 6.03553746 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 1 0 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 1 0 -1 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 0.185103981742 1.598694856043 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -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 -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 0.286582257548 1.080117366912 3 0 4 5 0132 0132 2310 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 -1 0 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 0.286582257548 1.080117366912 2 1 6 6 0132 0132 0132 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 -1 1 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 -0.294735676803 0.400884702361 4 2 1 4 3012 3201 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.765555704191 0.601464668161 5 5 2 1 1302 2031 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 -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 0.631894846262 1.106427165567 3 6 6 3 3201 3201 2310 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 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 -0.640032294122 1.264958099452 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : 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' : negation(d['1']), 's_0_6' : 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' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 1036846375591455068527732598795619/66734357722908565406962540544*c_\ 0101_2^21 + 13998175752850111799240284235703555/1668358943072714135\ 1740635136*c_0101_2^19 - 153310841897754737316665920520468669/33367\ 178861454282703481270272*c_0101_2^17 + 715906649140616457088525498638700363/66734357722908565406962540544*\ c_0101_2^15 - 231936623352254134806609241211150489/1668358943072714\ 1351740635136*c_0101_2^13 + 709313982650613104937536955028684807/66\ 734357722908565406962540544*c_0101_2^11 - 160159834882854755972580187956600819/33367178861454282703481270272*\ c_0101_2^9 + 21684941404548689201387703735437719/166835894307271413\ 51740635136*c_0101_2^7 - 1699020356246695691430093189410675/8341794\ 715363570675870317568*c_0101_2^5 + 494675024903815245570777014110971/33367178861454282703481270272*c_0\ 101_2^3 - 16817491561516851941124239213329/667343577229085654069625\ 40544*c_0101_2, c_0011_0 - 1, c_0011_4 - 10726351770157981703003778543/130340542427555791810473712*c_\ 0101_2^21 + 1162695323712823462458487393533/26068108485511158362094\ 7424*c_0101_2^19 - 6568943074871611870210776006141/2606810848551115\ 83620947424*c_0101_2^17 + 15981326830254989417291540697277/26068108\ 4855111583620947424*c_0101_2^15 - 5430567416503612356566423846613/6\ 5170271213777895905236856*c_0101_2^13 + 8811735524859455287404091912247/130340542427555791810473712*c_0101_\ 2^11 - 8542963209723199980020284760933/260681084855111583620947424*\ c_0101_2^9 + 2455082616183729554821590491371/2606810848551115836209\ 47424*c_0101_2^7 - 404129376126623392489713266887/26068108485511158\ 3620947424*c_0101_2^5 + 30980138034682989464210189147/2606810848551\ 11583620947424*c_0101_2^3 - 307675780880958681144679875/26068108485\ 5111583620947424*c_0101_2, c_0011_5 - 196100042914753429785129/3110353801333499385472*c_0101_2^21 + 5286869150843250076305015/1555176900666749692736*c_0101_2^19 - 446192156978679054727417/24299639072917963949*c_0101_2^17 + 130462539715751453117772223/3110353801333499385472*c_0101_2^15 - 40916210689615349800095897/777588450333374846368*c_0101_2^13 + 118732501108509505472852229/3110353801333499385472*c_0101_2^11 - 12258415633857037618645833/777588450333374846368*c_0101_2^9 + 5860019186465413094540957/1555176900666749692736*c_0101_2^7 - 846533624909142195480299/1555176900666749692736*c_0101_2^5 + 4682210443466220541831/97198556291671855796*c_0101_2^3 - 13470872461164241955397/3110353801333499385472*c_0101_2, c_0011_6 + 48171756024488509107165/3110353801333499385472*c_0101_2^20 - 1295928913954397567204817/1555176900666749692736*c_0101_2^18 + 3432034553694573642079683/777588450333374846368*c_0101_2^16 - 30361117608688283098793855/3110353801333499385472*c_0101_2^14 + 9046488088113173188481681/777588450333374846368*c_0101_2^12 - 23915381971029696192770505/3110353801333499385472*c_0101_2^10 + 126173899882776759689761/48599278145835927898*c_0101_2^8 - 595910663404835869681955/1555176900666749692736*c_0101_2^6 + 12718834908040364250977/1555176900666749692736*c_0101_2^4 + 3639542471377044627395/777588450333374846368*c_0101_2^2 + 871074659860576348981/3110353801333499385472, c_0101_0 - 3655325530389775077140406885/130340542427555791810473712*c_0\ 101_2^20 + 197510003470687575877849290357/1303405424275557918104737\ 12*c_0101_2^18 - 1086950131601576249218493909891/130340542427555791\ 810473712*c_0101_2^16 + 159602187680667601984976381477/814628390172\ 2236988154607*c_0101_2^14 - 208264908230449436256734510167/81462839\ 01722236988154607*c_0101_2^12 + 2571108039240110297346096418449/130\ 340542427555791810473712*c_0101_2^10 - 1176749509144989314410495395031/130340542427555791810473712*c_0101_\ 2^8 + 326084040917840483593136624107/130340542427555791810473712*c_\ 0101_2^6 - 53900503168658898223536323419/13034054242755579181047371\ 2*c_0101_2^4 + 4208692345536137444736542029/13034054242755579181047\ 3712*c_0101_2^2 - 21790587404011768955865477/3258513560688894795261\ 8428, c_0101_1 - 2407955627657855239589324421/130340542427555791810473712*c_0\ 101_2^20 + 257652727565176054952366878917/2606810848551115836209474\ 24*c_0101_2^18 - 1294081025069002700096811397949/260681084855111583\ 620947424*c_0101_2^16 + 2641906743225910475125032230225/26068108485\ 5111583620947424*c_0101_2^14 - 702443623808521847634058313793/65170\ 271213777895905236856*c_0101_2^12 + 754669059259261974707250231653/130340542427555791810473712*c_0101_2\ ^10 - 288895456183508314546049292789/260681084855111583620947424*c_\ 0101_2^8 - 35011603243390915846212504925/26068108485511158362094742\ 4*c_0101_2^6 + 25059744110918803233173557137/2606810848551115836209\ 47424*c_0101_2^4 - 3935884400916117914218877829/2606810848551115836\ 20947424*c_0101_2^2 - 96925083685492197494324479/260681084855111583\ 620947424, c_0101_2^22 - 4379/81*c_0101_2^20 + 217894/729*c_0101_2^18 - 515711/729*c_0101_2^16 + 680215/729*c_0101_2^14 - 2195/3*c_0101_2^12 + 250165/729*c_0101_2^10 - 71326/729*c_0101_2^8 + 4040/243*c_0101_2^6 - 1070/729*c_0101_2^4 + 37/729*c_0101_2^2 - 1/729 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB