Magma V2.19-8 Wed Aug 21 2013 01:02:22 on localhost [Seed = 2530250074] Type ? for help. Type -D to quit. Loading file "L14n14461__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14461 geometric_solution 12.20208259 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 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 0 -1 1 0 0 0 0 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.898898316907 1.508591272628 0 5 7 6 0132 0132 0132 0132 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 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 0.079045559324 0.620447562473 6 0 9 8 3120 0132 0132 0132 0 0 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 0 0 0 0 0 0 0 0 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051013292059 0.940118633169 8 10 4 0 0213 0132 1230 0132 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 -2 0 0 2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704699951562 0.840653677459 10 7 0 3 3201 3012 0132 3012 0 0 0 1 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 3 -1 -2 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 0.542197956180 0.356920176989 6 1 9 11 1302 0132 3120 0132 1 0 1 0 0 0 -1 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 -1 -8 9 2 0 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752541854432 0.728965423204 8 5 1 2 3201 2031 0132 3120 1 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 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827799271815 1.069690619802 4 9 11 1 1230 3120 3201 0132 1 0 1 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 1 0 -1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208282132347 1.312679636112 3 12 2 6 0213 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 2 0 0 -2 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404896792471 0.700738394914 11 7 5 2 1230 3120 3120 0132 0 0 1 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 1 0 -1 0 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085856810246 0.741999596601 12 3 12 4 2103 0132 0132 2310 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 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 0.408600783475 0.689388538106 7 9 5 12 2310 3012 0132 1230 1 0 0 1 0 1 -1 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 8 -9 1 -3 0 3 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 0.565874588648 0.559290730593 11 8 10 10 3012 0132 2103 0132 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 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 0.716839202662 0.835612757291 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0110_4']), '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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_0101_10'], 'c_1100_4' : d['c_0110_4'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0011_6'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0011_4'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0011_6'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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_4'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0011_4'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_10'])})} 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_4, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 9500115487272339371952008498528023/596518681074136312355135010720*c\ _1001_0^13 + 201840424727602123164739050619709/14912967026853407808\ 8783752680*c_1001_0^12 - 346168382637154473660993799382669/14912967\ 0268534078088783752680*c_1001_0^11 + 2263418149263690744639493182384749/119303736214827262471027002144*c\ _1001_0^10 - 235505149928314581891843564300961/59651868107413631235\ 513501072*c_1001_0^9 + 4557702995626181043623847230292979/596518681\ 074136312355135010720*c_1001_0^8 + 47506217279993074578476972799752471/596518681074136312355135010720*\ c_1001_0^7 + 713536692268039419555881966488945/14912967026853407808\ 878375268*c_1001_0^6 - 34525932455105191784662143149269723/59651868\ 1074136312355135010720*c_1001_0^5 - 41444462268403076215290827900038301/596518681074136312355135010720*\ c_1001_0^4 - 1537563609308302930725044717215009/1193037362148272624\ 71027002144*c_1001_0^3 + 5458006522906622608429630799592937/5965186\ 81074136312355135010720*c_1001_0^2 + 21516158069651954882089325069609/7456483513426703904439187634*c_100\ 1_0 + 81560213307776813358794771033/149129670268534078088783752680, c_0011_0 - 1, c_0011_10 - 37133547826930621909168743/511241108046448474556704*c_1001_\ 0^13 + 79197923004829292673548273/511241108046448474556704*c_1001_0\ ^12 - 1454069163521347022838027/511241108046448474556704*c_1001_0^1\ 1 - 52661122648971157312860185/511241108046448474556704*c_1001_0^10 + 105176349806288655337424729/511241108046448474556704*c_1001_0^9 - 26655565949927443833548955/255620554023224237278352*c_1001_0^8 - 8637177397498772465020587/31952569252903029659794*c_1001_0^7 + 143888643814232025040939255/255620554023224237278352*c_1001_0^6 + 79711082170572935241723869/127810277011612118639176*c_1001_0^5 - 19969784595841326320102731/63905138505806059319588*c_1001_0^4 - 284704638664140716305061591/511241108046448474556704*c_1001_0^3 - 47864148004967858818064775/511241108046448474556704*c_1001_0^2 + 11618735319397548579858699/127810277011612118639176*c_1001_0 + 13249246539276295987629455/511241108046448474556704, c_0011_11 + 27979531980102749141873624641/10480442714952193728412432*c_\ 1001_0^13 + 7403469897410841625844071793/5240221357476096864206216*\ c_1001_0^12 - 4572516481553710092978515645/104804427149521937284124\ 32*c_1001_0^11 + 15291805660312934103943921727/52402213574760968642\ 06216*c_1001_0^10 + 7919291483123727089921367903/104804427149521937\ 28412432*c_1001_0^9 + 8421599825749681977182886993/1048044271495219\ 3728412432*c_1001_0^8 + 145330999342169824939037115701/104804427149\ 52193728412432*c_1001_0^7 + 145521303389884294777499131747/10480442\ 714952193728412432*c_1001_0^6 - 72656981891807902096574691789/10480\ 442714952193728412432*c_1001_0^5 - 175897893376886894658440962805/10480442714952193728412432*c_1001_0^\ 4 - 4645094768981804903354006847/655027669684512108025777*c_1001_0^\ 3 + 14514095009702897041410330449/10480442714952193728412432*c_1001\ _0^2 + 16922242562980157801561641389/10480442714952193728412432*c_1\ 001_0 + 379906296092332213091443455/1310055339369024216051554, c_0011_12 - 475735278906833348029003185/255620554023224237278352*c_1001\ _0^13 - 75372465260350465294871287/63905138505806059319588*c_1001_0\ ^12 + 83869391932547527908022341/255620554023224237278352*c_1001_0^\ 11 - 129060385605915801835889141/63905138505806059319588*c_1001_0^1\ 0 - 191395688875960917438917011/255620554023224237278352*c_1001_0^9 - 120018392054121502405246479/255620554023224237278352*c_1001_0^8 - 2501644760192920988567676947/255620554023224237278352*c_1001_0^7 - 2712375938326595830546908657/255620554023224237278352*c_1001_0^6 + 1132124657213005297630435679/255620554023224237278352*c_1001_0^5 + 3185284985186896062965116095/255620554023224237278352*c_1001_0^4 + 724547527465981110154334039/127810277011612118639176*c_1001_0^3 - 233026765456692474145351125/255620554023224237278352*c_1001_0^2 - 321220937921894176497073891/255620554023224237278352*c_1001_0 - 30177336171038804407182425/127810277011612118639176, c_0011_4 - 65514168509795158732357471/5240221357476096864206216*c_1001_\ 0^13 - 242358815679529618366202131/2620110678738048432103108*c_1001\ _0^12 + 13857102226756594166653389/1310055339369024216051554*c_1001\ _0^11 - 23063017522523185246574851/5240221357476096864206216*c_1001\ _0^10 - 543782389923649959881219207/5240221357476096864206216*c_100\ 1_0^9 + 186840760416014138419671121/5240221357476096864206216*c_100\ 1_0^8 - 151883706567142108356424447/1310055339369024216051554*c_100\ 1_0^7 - 2510759233426046093787167689/5240221357476096864206216*c_10\ 01_0^6 - 100299782369505517170492763/655027669684512108025777*c_100\ 1_0^5 + 2197030412610144773526189571/5240221357476096864206216*c_10\ 01_0^4 + 1885551556406987135572785771/5240221357476096864206216*c_1\ 001_0^3 + 76948997246657037941552771/5240221357476096864206216*c_10\ 01_0^2 - 355316731392214157459837501/5240221357476096864206216*c_10\ 01_0 - 82910632380094479148662997/5240221357476096864206216, c_0011_6 + 163571544299589698019676767/127810277011612118639176*c_1001_\ 0^13 + 74493823990025006866520361/127810277011612118639176*c_1001_0\ ^12 - 12397977270967803464328923/63905138505806059319588*c_1001_0^1\ 1 + 89690971465559612774439309/63905138505806059319588*c_1001_0^10 + 32638169751053072119192977/127810277011612118639176*c_1001_0^9 + 6899540370265521423123034/15976284626451514829897*c_1001_0^8 + 841789439794607254469537747/127810277011612118639176*c_1001_0^7 + 396709513020254908213808375/63905138505806059319588*c_1001_0^6 - 448126363745897442692261905/127810277011612118639176*c_1001_0^5 - 490545007079906007406887123/63905138505806059319588*c_1001_0^4 - 195842260739124397293732311/63905138505806059319588*c_1001_0^3 + 87108257624754395323026571/127810277011612118639176*c_1001_0^2 + 45628237997274497201321049/63905138505806059319588*c_1001_0 + 7977686462834939310487181/63905138505806059319588, c_0011_7 + 5485202635628943481828871705/5240221357476096864206216*c_100\ 1_0^13 + 2866005763945558052375057697/5240221357476096864206216*c_1\ 001_0^12 - 906286809290400885045427961/5240221357476096864206216*c_\ 1001_0^11 + 6016115141443012552808668387/5240221357476096864206216*\ c_1001_0^10 + 1494486478111833372042341189/524022135747609686420621\ 6*c_1001_0^9 + 832168366370239750424969927/262011067873804843210310\ 8*c_1001_0^8 + 14241493275473970655045496253/2620110678738048432103\ 108*c_1001_0^7 + 7081858194965144413617164069/131005533936902421605\ 1554*c_1001_0^6 - 3591308814063315649611879817/13100553393690242160\ 51554*c_1001_0^5 - 8578817018487682580808612867/1310055339369024216\ 051554*c_1001_0^4 - 14395310783345654667600444893/52402213574760968\ 64206216*c_1001_0^3 + 2853291501980830437825411947/5240221357476096\ 864206216*c_1001_0^2 + 1643785360166043439942310889/262011067873804\ 8432103108*c_1001_0 + 593096630177116344158938211/52402213574760968\ 64206216, c_0011_9 + 1123349059952153084995485238851/429698151313039942864909712*\ c_1001_0^13 + 39245655853155664741176345829/26856134457064996429056\ 857*c_1001_0^12 - 182395251617347186981290379753/429698151313039942\ 864909712*c_1001_0^11 + 611279935661153583182615408841/214849075656\ 519971432454856*c_1001_0^10 + 356599633033303321021024738941/429698\ 151313039942864909712*c_1001_0^9 + 329055381543078008544432615345/429698151313039942864909712*c_1001_0\ ^8 + 5850248311070763422742216305255/429698151313039942864909712*c_\ 1001_0^7 + 6007667129316253488042143139015/429698151313039942864909\ 712*c_1001_0^6 - 2822932219881714433546500066003/429698151313039942\ 864909712*c_1001_0^5 - 7192770244587098590714099959657/429698151313\ 039942864909712*c_1001_0^4 - 782480981761122724367840148679/1074245\ 37828259985716227428*c_1001_0^3 + 565457941013695206729685925931/42\ 9698151313039942864909712*c_1001_0^2 + 705102698594716991113440862009/429698151313039942864909712*c_1001_0 + 32328579989150299887650814059/107424537828259985716227428, c_0101_0 - 1, c_0101_10 - 6939218879476623252248221295/5240221357476096864206216*c_10\ 01_0^13 - 4721291754253537466641300237/5240221357476096864206216*c_\ 1001_0^12 + 1224733178675814839018125721/5240221357476096864206216*\ c_1001_0^11 - 7465262717821502151827779899/524022135747609686420621\ 6*c_1001_0^10 - 3191774494977687728061636027/5240221357476096864206\ 216*c_1001_0^9 - 202616914967111057120721457/6550276696845121080257\ 77*c_1001_0^8 - 18322911575628666170881491943/262011067873804843210\ 3108*c_1001_0^7 - 5147436401615028326970977396/65502766968451210802\ 5777*c_1001_0^6 + 7858796727790212116637819657/26201106787380484321\ 03108*c_1001_0^5 + 23884525175282371840156832835/262011067873804843\ 2103108*c_1001_0^4 + 22462135019738834007117734543/5240221357476096\ 864206216*c_1001_0^3 - 3282727715087784066099827543/524022135747609\ 6864206216*c_1001_0^2 - 2464138787687848009834128005/26201106787380\ 48432103108*c_1001_0 - 943386441648568983534318127/5240221357476096\ 864206216, c_0101_11 - 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+ 247/619*c_1001_0^9 + 3302/619*c_1001_0^8 + 4606/619*c_1001_0^7 - 274/619*c_1001_0^6 - 4616/619*c_1001_0^5 - 3281/619*c_1001_0^4 - 344/619*c_1001_0^3 + 517/619*c_1001_0^2 + 221/619*c_1001_0 + 27/619 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.790 Total time: 1.000 seconds, Total memory usage: 32.09MB