Magma V2.19-8 Tue Aug 20 2013 16:18:26 on localhost [Seed = 2244221104] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2638 geometric_solution 5.91262250 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.059210241972 1.001664093393 0 3 5 5 0132 2103 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 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 0.592937846021 0.775309773248 6 0 6 5 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.070292577034 1.509801495259 5 1 6 0 0213 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.493569878637 0.779388101494 6 4 0 4 2103 2310 0132 3201 0 0 0 0 0 0 0 0 -1 0 0 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 -1 0 1 0 0 -1 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.057152757239 0.739305240764 3 2 1 1 0213 2310 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 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 0.312491741941 0.440814511249 2 3 4 2 0132 1230 2103 1302 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420050764300 0.915788327730 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : 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' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_6' : d['c_0101_2'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_3, c_0011_4, c_0011_5, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 75143760060201357162148433/13122549049124511907038475*c_1001_0^15 + 248475915490730668023496797/13122549049124511907038475*c_1001_0^14 - 21861997408073059130169869/2624509809824902381407695*c_1001_0^13 - 2092365404756732566134302153/26245098098249023814076950*c_1001_0^12 - 48818196945593767366061789/1381320952539422306004050*c_1001_0^11 + 141246884219443933465865623/1141091221663001035394650*c_1001_0^10 + 2031794149533901653210831476/13122549049124511907038475*c_1001_0^9 - 774204028848946292387342919/13122549049124511907038475*c_1001_0^8 - 6438623511870605602825137227/26245098098249023814076950*c_1001_0^7 - 1796103207645692227792091303/26245098098249023814076950*c_1001_0^6 + 4568064152543179674715498099/26245098098249023814076950*c_1001_0^5 + 3080561479564701669803423/22821824433260020707893*c_1001_0^4 - 481457932829505616888539477/13122549049124511907038475*c_1001_0^3 - 1132494007147075036628723962/13122549049124511907038475*c_1001_0^2 + 145328305186454255540455023/26245098098249023814076950*c_1001_0 + 310715896200413042041593/13122549049124511907038475, c_0011_0 - 1, c_0011_3 + 448039575877067282199/1201148654382106353047*c_1001_0^15 + 1666118692643012441566/1201148654382106353047*c_1001_0^14 + 72321955158239348951/1201148654382106353047*c_1001_0^13 - 6072124001746389573430/1201148654382106353047*c_1001_0^12 - 5192440801211744295008/1201148654382106353047*c_1001_0^11 + 7374948842894125409277/1201148654382106353047*c_1001_0^10 + 15111189959904086807371/1201148654382106353047*c_1001_0^9 + 1813825644874589801427/1201148654382106353047*c_1001_0^8 - 18779258021620521569087/1201148654382106353047*c_1001_0^7 - 14065700282577102704982/1201148654382106353047*c_1001_0^6 + 8342835444293221767573/1201148654382106353047*c_1001_0^5 + 15490091920006598906696/1201148654382106353047*c_1001_0^4 + 3913138811843393910471/1201148654382106353047*c_1001_0^3 - 6399336660911421545379/1201148654382106353047*c_1001_0^2 - 3335299318826848358010/1201148654382106353047*c_1001_0 - 592821749794110379375/1201148654382106353047, c_0011_4 + 150097474044673258584/1201148654382106353047*c_1001_0^15 + 538249106452890216582/1201148654382106353047*c_1001_0^14 - 43207452289863499138/1201148654382106353047*c_1001_0^13 - 2102426503176479652629/1201148654382106353047*c_1001_0^12 - 1912690630366251550406/1201148654382106353047*c_1001_0^11 + 2156161497496384831313/1201148654382106353047*c_1001_0^10 + 5512393229972789464359/1201148654382106353047*c_1001_0^9 + 1819155494711874673865/1201148654382106353047*c_1001_0^8 - 5882824380541552576408/1201148654382106353047*c_1001_0^7 - 6210290870755537439772/1201148654382106353047*c_1001_0^6 + 123165104039301847617/1201148654382106353047*c_1001_0^5 + 5608012643884549388802/1201148654382106353047*c_1001_0^4 + 3436055617344493966614/1201148654382106353047*c_1001_0^3 - 1048164128180531808424/1201148654382106353047*c_1001_0^2 - 1573656433872485464091/1201148654382106353047*c_1001_0 - 1075284202630795697744/1201148654382106353047, c_0011_5 - 188701864476323461874/1201148654382106353047*c_1001_0^15 - 682505991433542585764/1201148654382106353047*c_1001_0^14 - 99945860681824375380/1201148654382106353047*c_1001_0^13 + 2230698214054400706024/1201148654382106353047*c_1001_0^12 + 2636941517088727918842/1201148654382106353047*c_1001_0^11 - 1149378396704888893973/1201148654382106353047*c_1001_0^10 - 6070970022930388738921/1201148654382106353047*c_1001_0^9 - 3534721730584078112051/1201148654382106353047*c_1001_0^8 + 5262710731643642739368/1201148654382106353047*c_1001_0^7 + 7044013555943658055200/1201148654382106353047*c_1001_0^6 + 258881250803728188044/1201148654382106353047*c_1001_0^5 - 5574579168084699887065/1201148654382106353047*c_1001_0^4 - 3627748181134100664150/1201148654382106353047*c_1001_0^3 + 1390156866454958631293/1201148654382106353047*c_1001_0^2 + 1735984568226530841986/1201148654382106353047*c_1001_0 + 907460927616311184196/1201148654382106353047, c_0101_1 + 57348560060091380990/1201148654382106353047*c_1001_0^15 + 448160168995832135885/1201148654382106353047*c_1001_0^14 + 728786435016797670120/1201148654382106353047*c_1001_0^13 - 1300111881736880536201/1201148654382106353047*c_1001_0^12 - 3992106109594089987600/1201148654382106353047*c_1001_0^11 - 259374617047444846933/1201148654382106353047*c_1001_0^10 + 7360361916895123209244/1201148654382106353047*c_1001_0^9 + 6970492533311921042450/1201148654382106353047*c_1001_0^8 - 5350747456283175782968/1201148654382106353047*c_1001_0^7 - 12757925623646165013709/1201148654382106353047*c_1001_0^6 - 2231001220387959685279/1201148654382106353047*c_1001_0^5 + 9447746098689865845845/1201148654382106353047*c_1001_0^4 + 7587549853754445790318/1201148654382106353047*c_1001_0^3 - 2578468578800065214327/1201148654382106353047*c_1001_0^2 - 4775281546617407975137/1201148654382106353047*c_1001_0 - 575223623421298902179/1201148654382106353047, c_0101_2 - 193770902340631920967/1201148654382106353047*c_1001_0^15 - 758741022744838117864/1201148654382106353047*c_1001_0^14 - 157820126628563010765/1201148654382106353047*c_1001_0^13 + 2697192346389860744595/1201148654382106353047*c_1001_0^12 + 2890417439583291850977/1201148654382106353047*c_1001_0^11 - 2687353135724615076701/1201148654382106353047*c_1001_0^10 - 7094195673844929833205/1201148654382106353047*c_1001_0^9 - 1917945126600542198692/1201148654382106353047*c_1001_0^8 + 7785365830009760649210/1201148654382106353047*c_1001_0^7 + 7312394723377784803508/1201148654382106353047*c_1001_0^6 - 2549063747857455868344/1201148654382106353047*c_1001_0^5 - 7640367527223031351076/1201148654382106353047*c_1001_0^4 - 2265891938691374364052/1201148654382106353047*c_1001_0^3 + 2564021758265091555101/1201148654382106353047*c_1001_0^2 + 2338072444884342004728/1201148654382106353047*c_1001_0 + 225127236171143076395/1201148654382106353047, c_1001_0^16 + 55/13*c_1001_0^15 + 22/13*c_1001_0^14 - 199/13*c_1001_0^13 - 267/13*c_1001_0^12 + 184/13*c_1001_0^11 + 658/13*c_1001_0^10 + 277/13*c_1001_0^9 - 695/13*c_1001_0^8 - 815/13*c_1001_0^7 + 153/13*c_1001_0^6 + 782/13*c_1001_0^5 + 353/13*c_1001_0^4 - 279/13*c_1001_0^3 - 268/13*c_1001_0^2 - 38/13*c_1001_0 + 23/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB