Magma V2.19-8 Tue Aug 20 2013 23:38:24 on localhost [Seed = 3103710338] Type ? for help. Type -D to quit. Loading file "K14n14858__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14858 geometric_solution 8.71309271 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 10 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 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 -0.184137539906 0.585695572214 0 2 6 5 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.057421043378 1.217845957928 2 0 1 2 3201 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.204766051859 0.983840771308 7 6 8 0 0132 2103 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 1 0 -1 -1 0 1 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 0.555463475103 1.662642618714 5 8 0 8 1302 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 0 -13 0 13 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433342567065 0.760260772001 6 4 1 9 0321 2031 0132 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 -1 -13 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.232305427975 0.952797212183 5 3 9 1 0321 2103 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 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 0.926243599938 0.600110295384 3 8 9 9 0132 3120 0132 3201 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 0 14 -14 1 0 -1 0 0 14 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743897677061 0.728630451888 4 7 4 3 1023 3120 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 -1 13 -14 0 1 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.542141730842 0.912933132828 6 7 5 7 2310 2310 0132 0132 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 14 0 -14 -1 0 0 1 0 0 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313928598399 0.671990961648 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0101_8'], 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : d['c_0101_3'], 's_2_8' : d['1'], 's_2_9' : 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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_9']), 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_0101_8'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0011_3'], '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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/15*c_1100_0^3 - 4/15*c_1100_0^2 + 7/15*c_1100_0 - 4/15, c_0011_0 - 1, c_0011_3 - 1, c_0011_4 + 1/3*c_1100_0^3 - c_1100_0^2 + 4/3*c_1100_0 - 2, c_0011_5 - 1/3*c_1100_0^3 - 1/3*c_1100_0, c_0011_9 + 1/3*c_1100_0^3 + 1/3*c_1100_0 + 1, c_0101_0 - 1/3*c_1100_0^3 + c_1100_0^2 - 4/3*c_1100_0 + 2, c_0101_2 - 1/3*c_1100_0^3 + c_1100_0^2 - 4/3*c_1100_0 + 1, c_0101_3 + 1/3*c_1100_0^3 + 1/3*c_1100_0, c_0101_8 + 1, c_1100_0^4 - 3*c_1100_0^3 + 7*c_1100_0^2 - 9*c_1100_0 + 9 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 1268889517391775457456480901703517028356737119884840792/44041324048\ 62321526056400644328938095640462022929*c_1100_0^14 - 354418786714836475531844949461483350126118198549131475/146804413495\ 4107175352133548109646031880154007643*c_1100_0^13 - 603865156868597538381315464592245179095874038147029929/429671454132\ 909417176234209202823228842971904676*c_1100_0^12 - 15062456700356121285258607944652170245873620528969049173/4404132404\ 862321526056400644328938095640462022929*c_1100_0^11 - 831382024953650236581263304624003892495727112751322909/721988918829\ 88877476334436792277673699023967589*c_1100_0^10 - 41070679970688858306387052870738820603168644085895393949/2936088269\ 908214350704267096219292063760308015286*c_1100_0^9 - 246374510567070974432460588116420833011795814920352618763/880826480\ 9724643052112801288657876191280924045858*c_1100_0^8 - 54836365852661545063808898163785288388955204528833950173/4404132404\ 862321526056400644328938095640462022929*c_1100_0^7 - 243771662715745266274947554402424900802432117923313465829/440413240\ 4862321526056400644328938095640462022929*c_1100_0^6 - 153614095203293918629770909933458029773187012228142561089/880826480\ 9724643052112801288657876191280924045858*c_1100_0^5 - 925467568718176806082219694290760433514826807017430582485/176165296\ 19449286104225602577315752382561848091716*c_1100_0^4 - 121645362188867836870217282821239732163526911077009577555/880826480\ 9724643052112801288657876191280924045858*c_1100_0^3 - 47096134725113076495375328615138311492990665124061125872/4404132404\ 862321526056400644328938095640462022929*c_1100_0^2 - 6393332007672788585603506184519242923035576736614417915/44041324048\ 62321526056400644328938095640462022929*c_1100_0 + 5582428357755236384058172438892547380610898783417584397/17616529619\ 449286104225602577315752382561848091716, c_0011_0 - 1, c_0011_3 + 56152882369999707561034020083309116076701544052/164948779208\ 32664891597006158535348672810719187*c_1100_0^14 + 88361915144267793210972182178015769216907082745/3298975584166532978\ 3194012317070697345621438374*c_1100_0^13 + 6625514121105532231459028350736901936365777342/40231409563006499735\ 6024540452081674946602907*c_1100_0^12 + 652524928236251956628624383031134456795782765289/164948779208326648\ 91597006158535348672810719187*c_1100_0^11 + 36242420290056454103211820159418404964292086244/2704078347677486047\ 80278789484186043816569167*c_1100_0^10 + 2612467640718042060765649788681553044537733664709/16494877920832664\ 891597006158535348672810719187*c_1100_0^9 + 10632063252169356424252185862939460549377152664207/3298975584166532\ 9783194012317070697345621438374*c_1100_0^8 + 4297895145741459406826406853192588378815976218467/32989755841665329\ 783194012317070697345621438374*c_1100_0^7 + 10671270020090905518324396563320635601904357710959/1649487792083266\ 4891597006158535348672810719187*c_1100_0^6 + 5681061152885609885867584402708228040604517085369/32989755841665329\ 783194012317070697345621438374*c_1100_0^5 + 20174765079029794115472879189153933401818016947537/3298975584166532\ 9783194012317070697345621438374*c_1100_0^4 + 4290536569442658040881284700931830569565393866215/32989755841665329\ 783194012317070697345621438374*c_1100_0^3 + 3935845493041290163195258079423494537841002040165/32989755841665329\ 783194012317070697345621438374*c_1100_0^2 + 157125228588353904165843701287667800366721002163/164948779208326648\ 91597006158535348672810719187*c_1100_0 - 64563083417273844255658719765427462348638471157/1649487792083266489\ 1597006158535348672810719187, c_0011_4 + 26014812914413297478097610420444589854446260024/164948779208\ 32664891597006158535348672810719187*c_1100_0^14 + 21851412315681887282399326731003696783240985947/1649487792083266489\ 1597006158535348672810719187*c_1100_0^13 + 3096221726091503204131184953456418321588398660/40231409563006499735\ 6024540452081674946602907*c_1100_0^12 + 618047608859138938776182416927671912511200924795/329897558416653297\ 83194012317070697345621438374*c_1100_0^11 + 17057264005338435333706210473640877225916919847/2704078347677486047\ 80278789484186043816569167*c_1100_0^10 + 2530164019897316815512753863193636216559840872697/32989755841665329\ 783194012317070697345621438374*c_1100_0^9 + 2528321524970666526975399718644860272654215974338/16494877920832664\ 891597006158535348672810719187*c_1100_0^8 + 1129420664313214245301167913060915500063791062678/16494877920832664\ 891597006158535348672810719187*c_1100_0^7 + 5003949952085057026268354209788306870714249856076/16494877920832664\ 891597006158535348672810719187*c_1100_0^6 + 1587284553683802084710467695032129864984039094422/16494877920832664\ 891597006158535348672810719187*c_1100_0^5 + 4756196623932574532917408861806215476699784730841/16494877920832664\ 891597006158535348672810719187*c_1100_0^4 + 1252517870781384643326575930270347642188274463608/16494877920832664\ 891597006158535348672810719187*c_1100_0^3 + 989310487423149469280580460860314757766778518924/164948779208326648\ 91597006158535348672810719187*c_1100_0^2 + 251870643807167183654786866829162338934191997537/329897558416653297\ 83194012317070697345621438374*c_1100_0 - 20033255572570431654547040264124620326883348449/1649487792083266489\ 1597006158535348672810719187, c_0011_5 - 26642371435496930599112313455764053634037825044/164948779208\ 32664891597006158535348672810719187*c_1100_0^14 - 42845408923861369807518954211197824256707230209/3298975584166532978\ 3194012317070697345621438374*c_1100_0^13 - 3152370005118601784897661623062189825125204106/40231409563006499735\ 6024540452081674946602907*c_1100_0^12 - 311794200442934546149323571508494882726557743268/164948779208326648\ 91597006158535348672810719187*c_1100_0^11 - 34569380234575110723144588766689964280040154699/5408156695354972095\ 60557578968372087633138334*c_1100_0^10 - 1257396561681942138252187374815011488307583308463/16494877920832664\ 891597006158535348672810719187*c_1100_0^9 - 5087164702072902736009082235217622805882843759767/32989755841665329\ 783194012317070697345621438374*c_1100_0^8 - 1062513839608011486549167390545560560596393310438/16494877920832664\ 891597006158535348672810719187*c_1100_0^7 - 10163088728382813769332498335903109763827516150379/3298975584166532\ 9783194012317070697345621438374*c_1100_0^6 - 2860371177304629669573629875706724436937385446489/32989755841665329\ 783194012317070697345621438374*c_1100_0^5 - 4810541679566614070489034300028295728731399644651/16494877920832664\ 891597006158535348672810719187*c_1100_0^4 - 1090210193198749910160935306171057771493906856111/16494877920832664\ 891597006158535348672810719187*c_1100_0^3 - 1941964345734789175338219464547135987648337652975/32989755841665329\ 783194012317070697345621438374*c_1100_0^2 - 152096606550302378732849594177304929178219248361/329897558416653297\ 83194012317070697345621438374*c_1100_0 + 23502823724467256774334520665697598078798254803/1649487792083266489\ 1597006158535348672810719187, c_0011_9 + 41854648815246085224786109852984139934389575424/164948779208\ 32664891597006158535348672810719187*c_1100_0^14 + 33023592439584241209833489256136834864490902484/1649487792083266489\ 1597006158535348672810719187*c_1100_0^13 + 9895608478084555009447775886797105453046833673/80462819126012999471\ 2049080904163349893205814*c_1100_0^12 + 974073717100892004477997694389353250595255290719/329897558416653297\ 83194012317070697345621438374*c_1100_0^11 + 54109036665423577900597782413847355338096527177/5408156695354972095\ 60557578968372087633138334*c_1100_0^10 + 1954268775531173123145777683696828936154840460888/16494877920832664\ 891597006158535348672810719187*c_1100_0^9 + 3978256262184680804557076860381079867109320727839/16494877920832664\ 891597006158535348672810719187*c_1100_0^8 + 1623009405200122186602804256268391833084564312383/16494877920832664\ 891597006158535348672810719187*c_1100_0^7 + 15964976080185603960337222531960669568107599316023/3298975584166532\ 9783194012317070697345621438374*c_1100_0^6 + 4280010497693149014030644320464235879873651698725/32989755841665329\ 783194012317070697345621438374*c_1100_0^5 + 7576748269856185834132251515421851135754826910835/16494877920832664\ 891597006158535348672810719187*c_1100_0^4 + 3260934547477253422605282264172182191730538205341/32989755841665329\ 783194012317070697345621438374*c_1100_0^3 + 1515953705749220791151015411897399112258079031411/16494877920832664\ 891597006158535348672810719187*c_1100_0^2 + 248945171317060283935629639948187763492246986319/329897558416653297\ 83194012317070697345621438374*c_1100_0 - 92684424966254241054390004711026892986396583759/3298975584166532978\ 3194012317070697345621438374, c_0101_0 - 26014812914413297478097610420444589854446260024/164948779208\ 32664891597006158535348672810719187*c_1100_0^14 - 21851412315681887282399326731003696783240985947/1649487792083266489\ 1597006158535348672810719187*c_1100_0^13 - 3096221726091503204131184953456418321588398660/40231409563006499735\ 6024540452081674946602907*c_1100_0^12 - 618047608859138938776182416927671912511200924795/329897558416653297\ 83194012317070697345621438374*c_1100_0^11 - 17057264005338435333706210473640877225916919847/2704078347677486047\ 80278789484186043816569167*c_1100_0^10 - 2530164019897316815512753863193636216559840872697/32989755841665329\ 783194012317070697345621438374*c_1100_0^9 - 2528321524970666526975399718644860272654215974338/16494877920832664\ 891597006158535348672810719187*c_1100_0^8 - 1129420664313214245301167913060915500063791062678/16494877920832664\ 891597006158535348672810719187*c_1100_0^7 - 5003949952085057026268354209788306870714249856076/16494877920832664\ 891597006158535348672810719187*c_1100_0^6 - 1587284553683802084710467695032129864984039094422/16494877920832664\ 891597006158535348672810719187*c_1100_0^5 - 4756196623932574532917408861806215476699784730841/16494877920832664\ 891597006158535348672810719187*c_1100_0^4 - 1252517870781384643326575930270347642188274463608/16494877920832664\ 891597006158535348672810719187*c_1100_0^3 - 989310487423149469280580460860314757766778518924/164948779208326648\ 91597006158535348672810719187*c_1100_0^2 - 251870643807167183654786866829162338934191997537/329897558416653297\ 83194012317070697345621438374*c_1100_0 + 20033255572570431654547040264124620326883348449/1649487792083266489\ 1597006158535348672810719187, c_0101_2 + 41360065188859448478219827907439406206623352920/164948779208\ 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1597006158535348672810719187*c_1100_0 - 33219541534117988041509994282058764969847114946/1649487792083266489\ 1597006158535348672810719187, c_1100_0^15 + 395/376*c_1100_0^14 + 1901/376*c_1100_0^13 + 4853/376*c_1100_0^12 + 1997/47*c_1100_0^11 + 2681/47*c_1100_0^10 + 20189/188*c_1100_0^9 + 11999/188*c_1100_0^8 + 9459/47*c_1100_0^7 + 38097/376*c_1100_0^6 + 73373/376*c_1100_0^5 + 32563/376*c_1100_0^4 + 2220/47*c_1100_0^3 + 4833/376*c_1100_0^2 - 21/376*c_1100_0 - 89/376 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.350 seconds, Total memory usage: 32.09MB