Magma V2.19-8 Wed Aug 21 2013 00:51:15 on localhost [Seed = 1932879373] Type ? for help. Type -D to quit. Loading file "L11a259__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a259 geometric_solution 12.01893791 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 2031 0132 1 1 0 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 0 0 0 1 0 -1 -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 0.579811668835 1.114832852377 0 4 4 0 0132 0132 1302 1302 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -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 0.632806057234 0.706022132000 3 0 5 4 0213 0132 0132 3012 1 1 1 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 -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 0.864042663997 0.584841172170 2 6 0 5 0213 0132 0132 0132 1 1 1 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 -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 -0.015060797198 0.717519711549 1 1 2 7 2031 0132 1230 0132 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 -1 0 1 0 0 0 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 0.296030165014 0.785419605389 8 9 3 2 0132 0132 0132 0132 1 1 0 1 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457814475599 0.493358253208 8 3 10 9 2031 0132 0132 0132 1 1 0 1 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 1 -1 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536060081561 0.902427175212 11 12 4 8 0132 0132 0132 2103 1 1 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 0 0 0 0 0 0 -1 1 0 0 0 0 -6 6 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114141840335 0.575566052884 5 12 6 7 0132 3012 1302 2103 1 1 1 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 -5 5 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 -0.014882167840 0.914966534383 11 5 6 10 1302 0132 0132 0321 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 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 0.606501073379 0.805360493606 11 9 12 6 2310 0321 3120 0132 1 1 1 1 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 6 0 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.358668931230 0.874258062652 7 9 10 12 0132 2031 3201 1023 1 1 0 1 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 -1 1 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.215851949154 0.924791347588 8 7 10 11 1230 0132 3120 1023 1 1 0 1 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 -1 0 1 0 0 0 0 0 5 -6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178722475241 0.669295027363 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : d['c_1001_5'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_10']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_12']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_0101_12']), 'c_1100_8' : negation(d['c_0101_11']), 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : d['c_0011_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(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_0110_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0011_5']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0011_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : negation(d['c_0011_11']), 's_2_9' : d['1']})} 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_3, c_0011_5, c_0101_0, c_0101_11, c_0101_12, c_0101_5, c_0101_7, c_1001_2, c_1001_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 1555965932800339711922548331774367/1017620886547828319262127160000*\ c_1001_5^18 - 336641227237755689128989278285451/7268720618198773709\ 0151940000*c_1001_5^17 + 2796148807509270419099264900957781/1017620\ 88654782831926212716000*c_1001_5^16 + 34763343053867248069118278003053369/508810443273914159631063580000*\ c_1001_5^15 - 284424393822199476646286315335677279/1017620886547828\ 319262127160000*c_1001_5^14 - 237133692738969632918358625294423/207\ 6777319485363916861484000*c_1001_5^13 + 1521938543748552149174374627928996343/10176208865478283192621271600\ 00*c_1001_5^12 - 259923505969941297265398048117307879/1017620886547\ 82831926212716000*c_1001_5^11 + 36649013418110261056133477193402229\ /508810443273914159631063580000*c_1001_5^10 + 51530838412450408444696769305986943/5781936855385388177625722500*c_\ 1001_5^9 - 4248918969128920974583511364993492623/203524177309565663\ 852425432000*c_1001_5^8 + 13548393371916534834601262264120466583/50\ 8810443273914159631063580000*c_1001_5^7 - 22346161119702191282772445479990499821/1017620886547828319262127160\ 000*c_1001_5^6 + 6445576114063254555113305287766912203/508810443273\ 914159631063580000*c_1001_5^5 - 63495018359109190849515688561819500\ 33/1017620886547828319262127160000*c_1001_5^4 + 174766142927033767944443111290355649/50881044327391415963106358000*\ c_1001_5^3 - 1476009678569587536899231930593482443/1017620886547828\ 319262127160000*c_1001_5^2 + 13540842832869925107064384414578457/72\ 687206181987737090151940000*c_1001_5 + 1158918922273079806986957288012761/31800652704619634976941473750, c_0011_0 - 1, c_0011_10 - 90391362114516295773131/1471765745007189717941093*c_1001_5^\ 18 - 54409893941812151862349/240288284899133015174056*c_1001_5^17 + 5594563621857260102071177/5887062980028758871764372*c_1001_5^16 + 39530413310666950696216781/11774125960057517743528744*c_1001_5^15 - 105196754393962294224181053/11774125960057517743528744*c_1001_5^14 - 2471754908742248635350787/240288284899133015174056*c_1001_5^13 + 617410902976949845916187391/11774125960057517743528744*c_1001_5^12 - 803603746957207690221106201/11774125960057517743528744*c_1001_5^11 - 441979526189726841463379437/11774125960057517743528744*c_1001_5^10 + 1913144282858874784332655603/5887062980028758871764372*c_1001_5^9 - 7334659548593275511466703709/11774125960057517743528744*c_1001_5^8 + 2017777110851142569688205945/2943531490014379435882186*c_1001_5^7 - 2928491725895690994567279889/5887062980028758871764372*c_1001_5^6 + 3204388236532531255033554349/11774125960057517743528744*c_1001_5^5 - 224801840407196005328732402/1471765745007189717941093*c_1001_5^4 + 130861645681230876723272498/1471765745007189717941093*c_1001_5^3 - 303496320757115093196391773/11774125960057517743528744*c_1001_5^2 + 405317352104956744967497/120144142449566507587028*c_1001_5 - 2361536942097188766315098/1471765745007189717941093, c_0011_11 - 7854690285137/715643432902444*c_1001_5^18 - 212639158317733/7156434329024440*c_1001_5^17 + 150761921176651/715643432902444*c_1001_5^16 + 3134673726965873/7156434329024440*c_1001_5^15 - 15762950209218167/7156434329024440*c_1001_5^14 - 2415537969866817/7156434329024440*c_1001_5^13 + 81203346521570601/7156434329024440*c_1001_5^12 - 30325414267073867/1431286865804888*c_1001_5^11 + 30049626908704879/7156434329024440*c_1001_5^10 + 23582485470747625/357821716451222*c_1001_5^9 - 1198803693987779083/7156434329024440*c_1001_5^8 + 807768129935238443/3578217164512220*c_1001_5^7 - 35228519748837507/178910858225611*c_1001_5^6 + 872516389102652817/7156434329024440*c_1001_5^5 - 225896683113741973/3578217164512220*c_1001_5^4 + 59863266926664461/1789108582256110*c_1001_5^3 - 104343046555031051/7156434329024440*c_1001_5^2 + 2164872915788953/894554291128055*c_1001_5 - 417205147837368/894554291128055, c_0011_3 + 24273217867344271990173/171634489213666439410040*c_1001_5^18 + 605711385491362639921391/1201441424495665075870280*c_1001_5^17 - 2708345308201082063425481/1201441424495665075870280*c_1001_5^16 - 2242206413473477846683593/300360356123916268967570*c_1001_5^15 + 3242740266818709664487811/150180178061958134483785*c_1001_5^14 + 911503868354289012581949/42908622303416609852510*c_1001_5^13 - 10683700165127664937470313/85817244606833219705020*c_1001_5^12 + 103240981701192821999977641/600720712247832537935140*c_1001_5^11 + 85489231533093089202062937/1201441424495665075870280*c_1001_5^10 - 919259828071721207990689789/1201441424495665075870280*c_1001_5^9 + 1834711142997904235650980579/1201441424495665075870280*c_1001_5^8 - 1040794213720938493373264151/600720712247832537935140*c_1001_5^7 + 220863582932752277630960093/171634489213666439410040*c_1001_5^6 - 845583796731211746922706597/1201441424495665075870280*c_1001_5^5 + 113540475321337044708853501/300360356123916268967570*c_1001_5^4 - 264539898995013395353588071/1201441424495665075870280*c_1001_5^3 + 84343788451081699095167169/1201441424495665075870280*c_1001_5^2 - 962634050239379665373957/120144142449566507587028*c_1001_5 + 540579853319651529497336/150180178061958134483785, c_0011_5 - 1456182676890075651708767/8410089971469655531091960*c_1001_5\ ^18 - 750712448462916916668229/1201441424495665075870280*c_1001_5^1\ 7 + 22979634629832696633266947/8410089971469655531091960*c_1001_5^1\ 6 + 7793703837179546462365999/841008997146965553109196*c_1001_5^15 - 21853551378725852306601287/841008997146965553109196*c_1001_5^14 - 2333876767576218641863391/85817244606833219705020*c_1001_5^13 + 316796195819118731752596719/2102522492867413882772990*c_1001_5^12 - 213993656913876454733854978/1051261246433706941386495*c_1001_5^11 - 790374090092078642545545131/8410089971469655531091960*c_1001_5^10 + 7812841085259652364527857543/8410089971469655531091960*c_1001_5^9 - 15366747297681243929671449879/8410089971469655531091960*c_1001_5^8 + 8626839938638270168373855963/4205044985734827765545980*c_1001_5^7 - 12720287762951906302657476167/8410089971469655531091960*c_1001_5^6 + 6951426486303109714767226873/8410089971469655531091960*c_1001_5^5 - 375876392121150224603715683/841008997146965553109196*c_1001_5^4 + 432548724024386109349395537/1682017994293931106218392*c_1001_5^3 - 134156997477542624424548773/1682017994293931106218392*c_1001_5^2 + 6292316940553219474853737/600720712247832537935140*c_1001_5 - 4440095489315457541259628/1051261246433706941386495, c_0101_0 - 1, c_0101_11 - 1890589465968576436065523/58870629800287588717643720*c_1001\ _5^18 - 3470363406043090490697/30036035612391626896757*c_1001_5^17 + 30054029397596650077946753/58870629800287588717643720*c_1001_5^16 + 101505540973552802665303023/58870629800287588717643720*c_1001_5^15 - 286616371009900735533049597/58870629800287588717643720*c_1001_5^14 - 6192116272181719420363631/1201441424495665075870280*c_1001_5^13 + 332426728183005381287036765/11774125960057517743528744*c_1001_5^12 - 2203099977935511865323466191/58870629800287588717643720*c_1001_5^11 - 109702261235493956453739645/5887062980028758871764372*c_1001_5^10 + 10237785122397944690726929907/58870629800287588717643720*c_1001_5\ ^9 - 9939647361879139096430919997/29435314900143794358821860*c_1001\ _5^8 + 548700975628470530682564924/1471765745007189717941093*c_1001\ _5^7 - 15862716536195411127479251113/58870629800287588717643720*c_1\ 001_5^6 + 4243380648262774907403957037/29435314900143794358821860*c\ _1001_5^5 - 2389110480401473099758423563/29435314900143794358821860\ *c_1001_5^4 + 2880213603125106570815861449/588706298002875887176437\ 20*c_1001_5^3 - 215664814110420802984204839/14717657450071897179410\ 930*c_1001_5^2 + 977104943071445007511267/600720712247832537935140*\ c_1001_5 - 1555806656948467253228200/1471765745007189717941093, c_0101_12 + 2031116584529179918248067/29435314900143794358821860*c_1001\ _5^18 + 21599862595406382937051/85817244606833219705020*c_1001_5^17 - 31759536136287676041609887/29435314900143794358821860*c_1001_5^16 - 5493879614389105139025461/1471765745007189717941093*c_1001_5^15 + 60140813845336386134582471/5887062980028758871764372*c_1001_5^14 + 6735155933594363581696507/600720712247832537935140*c_1001_5^13 - 1756948044068621537382705091/29435314900143794358821860*c_1001_5^12 + 2323456688959248990568233089/29435314900143794358821860*c_1001_5^\ 11 + 599328075476480107185517853/14717657450071897179410930*c_1001_\ 5^10 - 5436427269430400252803143009/14717657450071897179410930*c_10\ 01_5^9 + 5260154393755959507354814771/7358828725035948589705465*c_1\ 001_5^8 - 23224162954280061155005560721/29435314900143794358821860*\ c_1001_5^7 + 16697800300556354989209170867/294353149001437943588218\ 60*c_1001_5^6 - 8815289663150275996641362243/2943531490014379435882\ 1860*c_1001_5^5 + 233754196765881318011708017/147176574500718971794\ 1093*c_1001_5^4 - 542939173902096556144835605/588706298002875887176\ 4372*c_1001_5^3 + 79550948480650865845203343/2943531490014379435882\ 186*c_1001_5^2 - 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- 290697680332546062931991873/4205044985734827765545980*c_1001_5^2 + 5071268558773521253941289/600720712247832537935140*c_1001_5 - 941006687019222034650519/210252249286741388277299, c_1001_5^19 + 3*c_1001_5^18 - 18*c_1001_5^17 - 44*c_1001_5^16 + 183*c_1001_5^15 + 67*c_1001_5^14 - 969*c_1001_5^13 + 1701*c_1001_5^12 - 154*c_1001_5^11 - 5718*c_1001_5^10 + 13801*c_1001_5^9 - 18153*c_1001_5^8 + 15735*c_1001_5^7 - 9875*c_1001_5^6 + 5351*c_1001_5^5 - 3001*c_1001_5^4 + 1339*c_1001_5^3 - 325*c_1001_5^2 + 60*c_1001_5 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.420 seconds, Total memory usage: 32.09MB