Magma V2.19-8 Tue Aug 20 2013 23:52:51 on localhost [Seed = 189620420] Type ? for help. Type -D to quit. Loading file "K12n329__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n329 geometric_solution 11.39066856 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684124512855 0.770929131202 0 5 7 6 0132 0132 0132 0132 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 1 -1 0 0 1 -1 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730600710121 0.549888039510 8 0 5 4 0132 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 -1 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 1 0 -1 0 0 -9 9 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.201098659400 1.098885235401 9 6 10 0 0132 3120 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 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 0.741994325258 0.583886878770 2 8 0 9 3201 0132 0132 2031 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 -1 1 0 0 0 0 1 -1 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538447938430 1.103101827045 2 1 10 11 2310 0132 2310 0132 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 0 0 0 0 0 0 0 0 10 0 -10 0 9 -10 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281197728932 0.356556915949 9 3 1 11 2103 3120 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 -1 1 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 0.835707447992 0.461434594862 8 10 11 1 2310 3012 1230 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 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 0.330586014439 0.497003343461 2 4 7 12 0132 0132 3201 0132 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 0 0 0 -9 0 9 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198130650157 0.690377898219 3 4 6 12 0132 1302 2103 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.568376136015 1.022044373551 7 5 12 3 1230 3201 0213 0132 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 -1 10 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210027363012 0.614772183093 12 6 5 7 0321 0321 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -2.103491481332 1.210314053023 11 10 8 9 0321 0213 0132 2103 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 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774124101489 0.662034015833 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : negation(d['c_0101_5']), 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_0_11' : 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_0011_12'], '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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_1010_12'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : d['c_1010_12'], 'c_1100_3' : d['c_1010_12'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1010_12'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : negation(d['c_1010_12']), 'c_1010_8' : negation(d['c_0101_5']), 'c_1100_8' : negation(d['c_0011_7']), '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_7']), '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(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_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_1']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_11'])})} 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_12, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_1001_3, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 128469831959942825778/394990706714238155*c_1010_12^9 - 214753576229125731238/394990706714238155*c_1010_12^8 - 4765493058752025038102/78998141342847631*c_1010_12^7 + 10813781591973925750344/78998141342847631*c_1010_12^6 - 21191310474441913982509/394990706714238155*c_1010_12^5 + 4930979393408031061227/394990706714238155*c_1010_12^4 - 51020565672746535107993/394990706714238155*c_1010_12^3 - 11482496140448412299952/394990706714238155*c_1010_12^2 + 41594514013512057737/23234747453778715*c_1010_12 - 296927892220295448608/394990706714238155, c_0011_0 - 1, c_0011_10 + 160505736763038/801198188061335*c_1010_12^9 + 304594437191448/801198188061335*c_1010_12^8 + 5966249957620124/160239637612267*c_1010_12^7 - 12164429070506184/160239637612267*c_1010_12^6 + 11453804156907584/801198188061335*c_1010_12^5 - 1342734693357912/801198188061335*c_1010_12^4 + 63877628321792388/801198188061335*c_1010_12^3 + 28807895914517392/801198188061335*c_1010_12^2 + 1533134893938306/801198188061335*c_1010_12 - 34276201163047/801198188061335, c_0011_11 - 81842609626384/801198188061335*c_1010_12^9 - 142960432212394/801198188061335*c_1010_12^8 - 3037608148505395/160239637612267*c_1010_12^7 + 6661382952113207/160239637612267*c_1010_12^6 - 10595451753985092/801198188061335*c_1010_12^5 + 1380073397301811/801198188061335*c_1010_12^4 - 31452313984470934/801198188061335*c_1010_12^3 - 10252351443551981/801198188061335*c_1010_12^2 + 583625348627797/801198188061335*c_1010_12 - 823028204354844/801198188061335, c_0011_12 + 4861594825540/160239637612267*c_1010_12^9 + 4859917788599/160239637612267*c_1010_12^8 + 896662382467630/160239637612267*c_1010_12^7 - 2651112504922294/160239637612267*c_1010_12^6 + 2257934567835721/160239637612267*c_1010_12^5 - 880837428471695/160239637612267*c_1010_12^4 + 2017535016873703/160239637612267*c_1010_12^3 - 766657130583971/160239637612267*c_1010_12^2 - 246728582131238/160239637612267*c_1010_12 + 84843196528685/160239637612267, c_0011_3 - 105033449696023/801198188061335*c_1010_12^9 - 165785703484538/801198188061335*c_1010_12^8 - 3891959307623289/160239637612267*c_1010_12^7 + 9205764349088686/160239637612267*c_1010_12^6 - 20609092658160359/801198188061335*c_1010_12^5 + 3743088594924142/801198188061335*c_1010_12^4 - 41806221737850493/801198188061335*c_1010_12^3 - 4849812076817392/801198188061335*c_1010_12^2 + 3162081581267639/801198188061335*c_1010_12 - 221600939591248/801198188061335, c_0011_6 - 125713605078172/801198188061335*c_1010_12^9 - 233986571053887/801198188061335*c_1010_12^8 - 4670299500500873/160239637612267*c_1010_12^7 + 9698616268912692/160239637612267*c_1010_12^6 - 9851168590562641/801198188061335*c_1010_12^5 - 1394411120713697/801198188061335*c_1010_12^4 - 47811255076722347/801198188061335*c_1010_12^3 - 20401296226835758/801198188061335*c_1010_12^2 + 372684909272481/801198188061335*c_1010_12 - 164059797411292/801198188061335, c_0011_7 - 216757246231043/801198188061335*c_1010_12^9 - 395352411235498/801198188061335*c_1010_12^8 - 8050863610706325/160239637612267*c_1010_12^7 + 17021796873925298/160239637612267*c_1010_12^6 - 21280144152911709/801198188061335*c_1010_12^5 + 1717845890547217/801198188061335*c_1010_12^4 - 84722656806928023/801198188061335*c_1010_12^3 - 32712499217183937/801198188061335*c_1010_12^2 + 109591398379369/801198188061335*c_1010_12 + 68445703966517/801198188061335, c_0101_0 + 4456333604232/160239637612267*c_1010_12^9 + 5501854921818/160239637612267*c_1010_12^8 + 822584784270171/160239637612267*c_1010_12^7 - 2238153054668922/160239637612267*c_1010_12^6 + 1427612424547195/160239637612267*c_1010_12^5 - 258414722850414/160239637612267*c_1010_12^4 + 1815655728746745/160239637612267*c_1010_12^3 - 355133594086396/160239637612267*c_1010_12^2 - 515856733217411/160239637612267*c_1010_12 - 161939778592195/160239637612267, c_0101_1 - 2532582677351/801198188061335*c_1010_12^9 - 20892474365211/801198188061335*c_1010_12^8 - 99456885223092/160239637612267*c_1010_12^7 - 404398976644865/160239637612267*c_1010_12^6 + 6648496852712342/801198188061335*c_1010_12^5 - 2509401125249411/801198188061335*c_1010_12^4 - 914174881577071/801198188061335*c_1010_12^3 - 6291799838800629/801198188061335*c_1010_12^2 - 1217462079240532/801198188061335*c_1010_12 + 444896138025574/801198188061335, c_0101_11 + 141778680126238/801198188061335*c_1010_12^9 + 299425062418888/801198188061335*c_1010_12^8 + 5282006835920434/160239637612267*c_1010_12^7 - 9615467196313825/160239637612267*c_1010_12^6 - 1068875246287026/801198188061335*c_1010_12^5 + 459411625160663/801198188061335*c_1010_12^4 + 56074548461819448/801198188061335*c_1010_12^3 + 36433214839627802/801198188061335*c_1010_12^2 + 9602471694683826/801198188061335*c_1010_12 + 535049724677728/801198188061335, c_0101_5 + 47007624492504/801198188061335*c_1010_12^9 + 82587451115054/801198188061335*c_1010_12^8 + 1745140090651880/160239637612267*c_1010_12^7 - 3807845028433632/160239637612267*c_1010_12^6 + 6149417259016747/801198188061335*c_1010_12^5 - 1205851767164266/801198188061335*c_1010_12^4 + 18400046802057219/801198188061335*c_1010_12^3 + 5194821057305186/801198188061335*c_1010_12^2 + 944033498635268/801198188061335*c_1010_12 + 158786045870684/801198188061335, c_1001_3 + 105033449696023/801198188061335*c_1010_12^9 + 165785703484538/801198188061335*c_1010_12^8 + 3891959307623289/160239637612267*c_1010_12^7 - 9205764349088686/160239637612267*c_1010_12^6 + 20609092658160359/801198188061335*c_1010_12^5 - 3743088594924142/801198188061335*c_1010_12^4 + 41806221737850493/801198188061335*c_1010_12^3 + 4849812076817392/801198188061335*c_1010_12^2 - 3162081581267639/801198188061335*c_1010_12 + 221600939591248/801198188061335, c_1010_12^10 + 2*c_1010_12^9 + 186*c_1010_12^8 - 360*c_1010_12^7 + 23*c_1010_12^6 + 24*c_1010_12^5 + 382*c_1010_12^4 + 220*c_1010_12^3 + 16*c_1010_12^2 - 2*c_1010_12 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.210 Total time: 6.419 seconds, Total memory usage: 131.84MB