Magma V2.19-8 Tue Aug 20 2013 17:57:04 on localhost [Seed = 3515901407] Type ? for help. Type -D to quit. Loading file "11_41__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_41 geometric_solution 11.63435440 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543192466129 1.094015637464 0 5 3 6 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.011659487103 0.950464384846 7 0 9 8 0132 0132 0132 0132 0 0 0 0 0 0 0 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 1 -1 0 -1 0 -1 2 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127312555927 1.097927046426 8 10 1 0 3201 0132 1023 0132 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 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269821353813 0.798160744382 7 7 0 6 3012 0213 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299662724970 0.767894813430 7 1 9 10 1023 0132 3012 1023 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 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 0.560546549929 0.761256517055 11 11 1 4 0132 1230 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.510397775450 1.130293277964 2 5 4 4 0132 1023 0213 1230 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 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 0.299662724970 0.767894813430 9 11 2 3 0132 2310 0132 2310 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 -2 2 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362420694135 0.824615569863 8 5 10 2 0132 1230 3201 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 -1 1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037997588641 1.679723321728 9 3 11 5 2310 0132 2310 1023 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 0 0 0 -1 0 1 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 0.453111410069 0.546043729705 6 10 6 8 0132 3201 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668156729426 0.734878238325 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : d['c_0101_1'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_10']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : negation(d['c_0101_0']), 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0011_4'], '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_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0011_4'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1193265139841650206797/376819810258490789447763*c_1100_0^11 + 1720922509727549937410/376819810258490789447763*c_1100_0^10 + 4960916858068827515305/376819810258490789447763*c_1100_0^9 + 13979782770770751004006/125606603419496929815921*c_1100_0^8 + 145956573526586690439205/376819810258490789447763*c_1100_0^7 + 190603050827250363476128/376819810258490789447763*c_1100_0^6 + 37998891970318118488703/125606603419496929815921*c_1100_0^5 - 281855865209281444241608/376819810258490789447763*c_1100_0^4 - 223921960394994386220062/125606603419496929815921*c_1100_0^3 + 152096837983189791447848/376819810258490789447763*c_1100_0^2 + 1135279131027175588951877/376819810258490789447763*c_1100_0 - 25971517777322337696391/41868867806498976605307, c_0011_0 - 1, c_0011_10 - 32806979775430829/7009688231458057359*c_1100_0^11 - 55054070397903005/7009688231458057359*c_1100_0^10 - 196194214835463892/7009688231458057359*c_1100_0^9 - 394016659153062079/2336562743819352453*c_1100_0^8 - 4497289080966264118/7009688231458057359*c_1100_0^7 - 7657667324310898552/7009688231458057359*c_1100_0^6 - 2668272949105331714/2336562743819352453*c_1100_0^5 + 4372562637333547516/7009688231458057359*c_1100_0^4 + 5802865545558560081/2336562743819352453*c_1100_0^3 + 14238026946702352423/7009688231458057359*c_1100_0^2 - 15605132479133590052/7009688231458057359*c_1100_0 - 1103316980859439667/778854247939784151, c_0011_11 - 3383535894198622/778854247939784151*c_1100_0^11 - 5714850891898996/778854247939784151*c_1100_0^10 - 17955569192770484/778854247939784151*c_1100_0^9 - 40909436551306853/259618082646594717*c_1100_0^8 - 456508549359986651/778854247939784151*c_1100_0^7 - 724133624451705593/778854247939784151*c_1100_0^6 - 226522189342087054/259618082646594717*c_1100_0^5 + 503828375885138450/778854247939784151*c_1100_0^4 + 605806801163442784/259618082646594717*c_1100_0^3 + 757002427053079214/778854247939784151*c_1100_0^2 - 1430054753538187492/778854247939784151*c_1100_0 - 63718514099048104/86539360882198239, c_0011_4 - 2769302156033875/7009688231458057359*c_1100_0^11 + 2947000405849502/7009688231458057359*c_1100_0^10 - 3271335491253008/7009688231458057359*c_1100_0^9 - 17930030814849935/2336562743819352453*c_1100_0^8 - 134319287121720167/7009688231458057359*c_1100_0^7 + 428814232687505806/7009688231458057359*c_1100_0^6 + 328752343719765545/2336562743819352453*c_1100_0^5 + 1464804013932842513/7009688231458057359*c_1100_0^4 - 516767526492092534/2336562743819352453*c_1100_0^3 - 4550719022743010404/7009688231458057359*c_1100_0^2 - 5889123246103503115/7009688231458057359*c_1100_0 + 582601365794192729/778854247939784151, c_0011_8 - 1795577687698216/7009688231458057359*c_1100_0^11 - 9808502515252744/7009688231458057359*c_1100_0^10 - 23872894944557501/7009688231458057359*c_1100_0^9 - 33875042455471322/2336562743819352453*c_1100_0^8 - 510695149406071835/7009688231458057359*c_1100_0^7 - 1371194723277537770/7009688231458057359*c_1100_0^6 - 723232970641319332/2336562743819352453*c_1100_0^5 - 1428617263576103869/7009688231458057359*c_1100_0^4 + 521706383547995617/2336562743819352453*c_1100_0^3 + 3445395853247872754/7009688231458057359*c_1100_0^2 + 2669480766771657827/7009688231458057359*c_1100_0 + 346412454020528882/778854247939784151, c_0101_0 - 12452531813305549/7009688231458057359*c_1100_0^11 - 5671095859672189/7009688231458057359*c_1100_0^10 - 51282512034168050/7009688231458057359*c_1100_0^9 - 123040470335383286/2336562743819352453*c_1100_0^8 - 1160735298772781573/7009688231458057359*c_1100_0^7 - 900737611663439906/7009688231458057359*c_1100_0^6 - 17463619845506887/2336562743819352453*c_1100_0^5 + 4953443821324156829/7009688231458057359*c_1100_0^4 + 1661079152445843286/2336562743819352453*c_1100_0^3 - 557555213186326924/7009688231458057359*c_1100_0^2 - 8418691642992364069/7009688231458057359*c_1100_0 + 467468725112226713/778854247939784151, c_0101_1 + 2724095453822687/7009688231458057359*c_1100_0^11 - 18831226867453375/7009688231458057359*c_1100_0^10 - 24855170012080271/7009688231458057359*c_1100_0^9 - 700383063384503/2336562743819352453*c_1100_0^8 - 501075296561138336/7009688231458057359*c_1100_0^7 - 2425559374691627570/7009688231458057359*c_1100_0^6 - 1314141065915914780/2336562743819352453*c_1100_0^5 - 3640674453627766606/7009688231458057359*c_1100_0^4 + 873031021389043120/2336562743819352453*c_1100_0^3 + 12962031522025288736/7009688231458057359*c_1100_0^2 - 3659465723484568129/7009688231458057359*c_1100_0 - 1187066596630474258/778854247939784151, c_0101_11 - 2590270646387479/2336562743819352453*c_1100_0^11 - 8389942222622722/2336562743819352453*c_1100_0^10 - 10756404288626813/2336562743819352453*c_1100_0^9 - 37851026693200334/778854247939784151*c_1100_0^8 - 448388940989409866/2336562743819352453*c_1100_0^7 - 789968349341699534/2336562743819352453*c_1100_0^6 - 177310334970563317/778854247939784151*c_1100_0^5 + 435897657181772687/2336562743819352453*c_1100_0^4 + 1007614884256534720/778854247939784151*c_1100_0^3 + 1389556320364359533/2336562743819352453*c_1100_0^2 - 1422946337278501006/2336562743819352453*c_1100_0 - 138246606980112049/259618082646594717, c_0101_3 - 14519983254534541/7009688231458057359*c_1100_0^11 - 20060120231833330/7009688231458057359*c_1100_0^10 - 85071097742000207/7009688231458057359*c_1100_0^9 - 171867842028459671/2336562743819352453*c_1100_0^8 - 1859464608719180162/7009688231458057359*c_1100_0^7 - 3061314235643380106/7009688231458057359*c_1100_0^6 - 1178957635324521310/2336562743819352453*c_1100_0^5 + 1294546421141902907/7009688231458057359*c_1100_0^4 + 1554644889302719495/2336562743819352453*c_1100_0^3 + 2436755082299088254/7009688231458057359*c_1100_0^2 - 4199791926306556072/7009688231458057359*c_1100_0 - 546546436078346677/778854247939784151, c_0101_5 - 5722925005761088/7009688231458057359*c_1100_0^11 - 38195460127335451/7009688231458057359*c_1100_0^10 - 60187898685427166/7009688231458057359*c_1100_0^9 - 108739106808771998/2336562743819352453*c_1100_0^8 - 1730709869913136397/7009688231458057359*c_1100_0^7 - 4395429339887528894/7009688231458057359*c_1100_0^6 - 1632622632090243124/2336562743819352453*c_1100_0^5 - 1432035900602034763/7009688231458057359*c_1100_0^4 + 3192069450879019798/2336562743819352453*c_1100_0^3 + 10686390428179417577/7009688231458057359*c_1100_0^2 - 12088619581863961660/7009688231458057359*c_1100_0 - 1664007645811002106/778854247939784151, c_1001_0 + 23109485938912882/7009688231458057359*c_1100_0^11 + 1533689204091634/7009688231458057359*c_1100_0^10 + 78692129123778599/7009688231458057359*c_1100_0^9 + 212205898215295250/2336562743819352453*c_1100_0^8 + 1810775448139491311/7009688231458057359*c_1100_0^7 + 430280500049342042/7009688231458057359*c_1100_0^6 - 688305730950305558/2336562743819352453*c_1100_0^5 - 11335504906224417527/7009688231458057359*c_1100_0^4 - 2800451921343690955/2336562743819352453*c_1100_0^3 + 4560506279620526602/7009688231458057359*c_1100_0^2 + 12497175821298328606/7009688231458057359*c_1100_0 - 588524996203924544/778854247939784151, c_1100_0^12 + c_1100_0^11 + 5*c_1100_0^10 + 33*c_1100_0^9 + 113*c_1100_0^8 + 149*c_1100_0^7 + 129*c_1100_0^6 - 224*c_1100_0^5 - 408*c_1100_0^4 - 62*c_1100_0^3 + 424*c_1100_0^2 + 99*c_1100_0 + 81 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1089675451402118188/975605568489*c_1100_0^11 + 7984716498171465041/1300807424652*c_1100_0^10 - 11450463412833114131/975605568489*c_1100_0^9 + 22582051082979022123/1951211136978*c_1100_0^8 - 3117129339827228571/216801237442*c_1100_0^7 + 70360103570756026129/3902422273956*c_1100_0^6 - 32360881727303706349/3902422273956*c_1100_0^5 + 16633697527756894931/1951211136978*c_1100_0^4 - 2525419482517335969/216801237442*c_1100_0^3 + 1532337034304031223/1300807424652*c_1100_0^2 + 7381233651403544233/3902422273956*c_1100_0 + 4034929344799270975/3902422273956, c_0011_0 - 1, c_0011_10 - 362302811648/975605568489*c_1100_0^11 + 272899085160/108400618721*c_1100_0^10 - 12279083012273/1951211136978*c_1100_0^9 + 7417606640557/975605568489*c_1100_0^8 - 4773430381567/650403712326*c_1100_0^7 + 9599540436260/975605568489*c_1100_0^6 - 7472073509843/975605568489*c_1100_0^5 + 5993742459169/1951211136978*c_1100_0^4 - 2169038405636/325201856163*c_1100_0^3 + 827082830625/216801237442*c_1100_0^2 + 4914370522777/1951211136978*c_1100_0 + 530864925602/975605568489, c_0011_11 + 402503099200/325201856163*c_1100_0^11 - 6210241784612/975605568489*c_1100_0^10 + 7172241888743/650403712326*c_1100_0^9 - 2227106110387/216801237442*c_1100_0^8 + 28222758287533/1951211136978*c_1100_0^7 - 32279328168601/1951211136978*c_1100_0^6 + 5849559064187/975605568489*c_1100_0^5 - 21289556357087/1951211136978*c_1100_0^4 + 19595673578155/1951211136978*c_1100_0^3 + 470793264973/1951211136978*c_1100_0^2 + 462839826583/975605568489*c_1100_0 - 528842871701/1951211136978, c_0011_4 - 496119283568/975605568489*c_1100_0^11 + 1165975082677/325201856163*c_1100_0^10 - 8990456641862/975605568489*c_1100_0^9 + 3652681886912/325201856163*c_1100_0^8 - 10796244619375/975605568489*c_1100_0^7 + 15006444902669/975605568489*c_1100_0^6 - 3683814264349/325201856163*c_1100_0^5 + 3809685935699/975605568489*c_1100_0^4 - 10131892842164/975605568489*c_1100_0^3 + 4608605290166/975605568489*c_1100_0^2 + 3338970815543/975605568489*c_1100_0 + 640128898165/975605568489, c_0011_8 - 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