Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 3953817394] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1499 geometric_solution 5.30852406 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 0 -1 1 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 -1 1 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 0.763592531881 0.435113852790 0 3 5 4 0132 0321 0132 0132 0 0 0 0 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 -1 1 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.148029537324 1.219312711830 2 0 0 2 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 1 -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 -1 0 0 0 -1 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 1.536117455178 0.525378190529 5 4 0 1 0132 2310 0132 0321 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 -1 0 1 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 1.148029537324 1.219312711830 4 4 1 3 1302 2031 0132 3201 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 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 0.385057967087 0.551082572259 3 6 6 1 0132 0132 3201 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 0.058920831690 0.373528577718 5 5 6 6 2310 0132 2031 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 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 2.412566323786 2.816958835089 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['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_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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_3'], '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_0101_6']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_0101_1, c_0101_2, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 2392270771965801324518643/276580012858009231445633*c_0110_4^19 + 949683003048032960721853/21275385604462248572741*c_0110_4^18 - 4267149849079490280743857/276580012858009231445633*c_0110_4^17 - 76309623161503930334440548/276580012858009231445633*c_0110_4^16 + 129126787009589129167675077/276580012858009231445633*c_0110_4^15 + 63954594126220695951902829/276580012858009231445633*c_0110_4^14 - 256403294922070684383489318/276580012858009231445633*c_0110_4^13 - 54484484049492519940617064/276580012858009231445633*c_0110_4^12 + 469314130149602063869946241/276580012858009231445633*c_0110_4^11 - 240569395031955541431595064/276580012858009231445633*c_0110_4^10 - 149199797082639419346263243/276580012858009231445633*c_0110_4^9 - 31381382824766791659271378/276580012858009231445633*c_0110_4^8 + 400814724598475990039893738/276580012858009231445633*c_0110_4^7 - 547939389264928925878983827/276580012858009231445633*c_0110_4^6 - 48425884856363919720019947/276580012858009231445633*c_0110_4^5 + 643007001678795476400554974/276580012858009231445633*c_0110_4^4 - 774308574652249395216525698/276580012858009231445633*c_0110_4^3 + 429148060270682967484098748/276580012858009231445633*c_0110_4^2 - 50010429072379462638497186/276580012858009231445633*c_0110_4 - 14636133555666161541685058/276580012858009231445633, c_0011_0 - 1, c_0011_3 + 12506943496974657360046/276580012858009231445633*c_0110_4^19 - 3428199294401933792769/21275385604462248572741*c_0110_4^18 - 69730888339979652677228/276580012858009231445633*c_0110_4^17 + 384609219268614515437130/276580012858009231445633*c_0110_4^16 - 50158045771610153167499/276580012858009231445633*c_0110_4^15 - 1068699905877078441625104/276580012858009231445633*c_0110_4^14 + 432606748507411364100582/276580012858009231445633*c_0110_4^13 + 1897248902876842743654418/276580012858009231445633*c_0110_4^12 - 1177989295007825202940995/276580012858009231445633*c_0110_4^11 - 1894703248398165498044944/276580012858009231445633*c_0110_4^10 + 1203460660465697459084737/276580012858009231445633*c_0110_4^9 + 1499319732120850624611541/276580012858009231445633*c_0110_4^8 - 1261347187028127605464286/276580012858009231445633*c_0110_4^7 + 96744087244332937502888/276580012858009231445633*c_0110_4^6 + 3505205312233626997109189/276580012858009231445633*c_0110_4^5 - 1349066659503711086355967/276580012858009231445633*c_0110_4^4 - 150707689746847137796064/276580012858009231445633*c_0110_4^3 + 1969749915370690495396226/276580012858009231445633*c_0110_4^2 - 1078110824852782411270547/276580012858009231445633*c_0110_4 - 170852071547625984501874/276580012858009231445633, c_0011_4 + 25678633866951625867732/276580012858009231445633*c_0110_4^19 - 7861176035656793159865/21275385604462248572741*c_0110_4^18 - 94300728146386283690614/276580012858009231445633*c_0110_4^17 + 797791881024653480166573/276580012858009231445633*c_0110_4^16 - 431294074098226751329513/276580012858009231445633*c_0110_4^15 - 1808450229352707993570164/276580012858009231445633*c_0110_4^14 + 1339301699067957613992988/276580012858009231445633*c_0110_4^13 + 3072346819716369859695843/276580012858009231445633*c_0110_4^12 - 2995456923393481409818855/276580012858009231445633*c_0110_4^11 - 2291630793066928294944806/276580012858009231445633*c_0110_4^10 + 1999744569203839738835333/276580012858009231445633*c_0110_4^9 + 2478961946058877156504399/276580012858009231445633*c_0110_4^8 - 2636819472333866561069053/276580012858009231445633*c_0110_4^7 + 1568420561811638202398489/276580012858009231445633*c_0110_4^6 + 5051534540633130327849798/276580012858009231445633*c_0110_4^5 - 3801741120438750736363893/276580012858009231445633*c_0110_4^4 + 2038668663964825123992504/276580012858009231445633*c_0110_4^3 + 1692043587471085501425804/276580012858009231445633*c_0110_4^2 - 1350463749240070997377341/276580012858009231445633*c_0110_4 - 147340782778905840613157/276580012858009231445633, c_0101_1 + 23511288768720143888717/276580012858009231445633*c_0110_4^19 - 8029596421047980841223/21275385604462248572741*c_0110_4^18 - 34117408867593027883531/276580012858009231445633*c_0110_4^17 + 727791400792637973425558/276580012858009231445633*c_0110_4^16 - 738870487911248085817690/276580012858009231445633*c_0110_4^15 - 1180519846463101490378392/276580012858009231445633*c_0110_4^14 + 1658401130933825124704074/276580012858009231445633*c_0110_4^13 + 1776612635003191573774935/276580012858009231445633*c_0110_4^12 - 3292046949217300222814805/276580012858009231445633*c_0110_4^11 - 77632259500365559112802/276580012858009231445633*c_0110_4^10 + 1319396535447807706976479/276580012858009231445633*c_0110_4^9 + 1266509684112545157524936/276580012858009231445633*c_0110_4^8 - 2829186566594636778079296/276580012858009231445633*c_0110_4^7 + 3467853201050610685470935/276580012858009231445633*c_0110_4^6 + 2694263490540752747108885/276580012858009231445633*c_0110_4^5 - 4613628429005174368103245/276580012858009231445633*c_0110_4^4 + 4342087993225081933831287/276580012858009231445633*c_0110_4^3 - 961136341296827019299510/276580012858009231445633*c_0110_4^2 - 348240194205765425636573/276580012858009231445633*c_0110_4 + 9782540837353140557810/276580012858009231445633, c_0101_2 + 97462980248577528509059/276580012858009231445633*c_0110_4^19 - 35767203535942129724873/21275385604462248572741*c_0110_4^18 - 9133101598663176141249/276580012858009231445633*c_0110_4^17 + 3117168206889804367699194/276580012858009231445633*c_0110_4^16 - 4061595231612977803258926/276580012858009231445633*c_0110_4^15 - 4251601643851422515817689/276580012858009231445633*c_0110_4^14 + 8977971406229337368285631/276580012858009231445633*c_0110_4^13 + 5693154531613743612801603/276580012858009231445633*c_0110_4^12 - 17276442346073640590124374/276580012858009231445633*c_0110_4^11 + 3206575824072859774670149/276580012858009231445633*c_0110_4^10 + 7967399276212272997293425/276580012858009231445633*c_0110_4^9 + 3880364977450967139872516/276580012858009231445633*c_0110_4^8 - 15087315757564933663734521/276580012858009231445633*c_0110_4^7 + 16485600754613392660284296/276580012858009231445633*c_0110_4^6 + 8952428124280534446723545/276580012858009231445633*c_0110_4^5 - 23225688567755232294731496/276580012858009231445633*c_0110_4^4 + 22643947583645438394424528/276580012858009231445633*c_0110_4^3 - 7766219593631365169056796/276580012858009231445633*c_0110_4^2 - 2003665715664840663947983/276580012858009231445633*c_0110_4 + 620299563946202214515221/276580012858009231445633, c_0101_6 + 53296972719709562754411/276580012858009231445633*c_0110_4^19 - 20212034778227343602133/21275385604462248572741*c_0110_4^18 + 30404273753709891543944/276580012858009231445633*c_0110_4^17 + 1727527035927253394035084/276580012858009231445633*c_0110_4^16 - 2482754726756684997808110/276580012858009231445633*c_0110_4^15 - 2128581200306310604677903/276580012858009231445633*c_0110_4^14 + 5421242046101397244363156/276580012858009231445633*c_0110_4^13 + 2611341050869056412283633/276580012858009231445633*c_0110_4^12 - 10264375579678001838279052/276580012858009231445633*c_0110_4^11 + 2790917741969941252377873/276580012858009231445633*c_0110_4^10 + 4752829145311070880733045/276580012858009231445633*c_0110_4^9 + 1592468103856903423505819/276580012858009231445633*c_0110_4^8 - 8886251469652090458713630/276580012858009231445633*c_0110_4^7 + 9914510924670802063169765/276580012858009231445633*c_0110_4^6 + 4098614634874310063765569/276580012858009231445633*c_0110_4^5 - 14078017683798514428100094/276580012858009231445633*c_0110_4^4 + 13865286714037540445080246/276580012858009231445633*c_0110_4^3 - 5452201751630290610092242/276580012858009231445633*c_0110_4^2 - 1227245932971193440099616/276580012858009231445633*c_0110_4 + 582113986582275931287443/276580012858009231445633, c_0110_4^20 - 5*c_0110_4^19 + c_0110_4^18 + 32*c_0110_4^17 - 49*c_0110_4^16 - 34*c_0110_4^15 + 102*c_0110_4^14 + 37*c_0110_4^13 - 190*c_0110_4^12 + 74*c_0110_4^11 + 73*c_0110_4^10 + 20*c_0110_4^9 - 162*c_0110_4^8 + 206*c_0110_4^7 + 52*c_0110_4^6 - 262*c_0110_4^5 + 289*c_0110_4^4 - 134*c_0110_4^3 - 3*c_0110_4^2 + 12*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB