Magma V2.19-8 Tue Aug 20 2013 16:17:09 on localhost [Seed = 2084429992] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1388 geometric_solution 5.23974013 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.277607578858 1.015105084524 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.619405577992 0.131783107586 0 3 4 0 3201 0132 0132 0132 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 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 0.471509700488 0.718937551253 5 2 6 4 0132 0132 0132 3201 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 -1 1 0 1 0 -1 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 0.026056770379 1.011459073763 6 3 5 2 0132 2310 2310 0132 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 -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 0.026056770379 1.011459073763 3 4 5 5 0132 3201 2031 1302 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 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 0.371799303814 0.377639829363 4 6 6 3 0132 1230 3012 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 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 0.470493852010 0.852288974015 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 787248861293105645686252575747068383289/905394917125628407439264969\ 4228308147*c_0101_5^21 + 7258868781067382215529759047184498708777/9\ 053949171256284074392649694228308147*c_0101_5^20 - 10161537700665011921516525995770565780471/9053949171256284074392649\ 694228308147*c_0101_5^19 - 5298729357785507429648072604438892269294\ 2/9053949171256284074392649694228308147*c_0101_5^18 - 54019176837303334030862315504012754968345/9053949171256284074392649\ 694228308147*c_0101_5^17 - 1598575209458239160348191161455628004883\ 64/9053949171256284074392649694228308147*c_0101_5^16 - 35196142142733310693689206918670745794007/9053949171256284074392649\ 694228308147*c_0101_5^15 + 3171028080631766289516070685032035806693\ 3/9053949171256284074392649694228308147*c_0101_5^14 + 478278695927448040203174156122952351146728/905394917125628407439264\ 9694228308147*c_0101_5^13 + 309017646793437147368021096003824042271\ 78/9053949171256284074392649694228308147*c_0101_5^12 + 1694367954311443325161108163869717464639/90539491712562840743926496\ 94228308147*c_0101_5^11 + 15076738318327517964019327025665197334971\ /292062876492138195948149990136397037*c_0101_5^10 - 1357720458325547358807421264647756853272854/90539491712562840743926\ 49694228308147*c_0101_5^9 - 124690294355277846449340314154946562585\ 830/9053949171256284074392649694228308147*c_0101_5^8 + 1401983129968919471764721741116575748120694/90539491712562840743926\ 49694228308147*c_0101_5^7 - 496086762048316164337415275093707788182\ 745/9053949171256284074392649694228308147*c_0101_5^6 - 240954871138922951059725684804212558144772/905394917125628407439264\ 9694228308147*c_0101_5^5 + 1905578898062825217943804919955979612098\ 93/9053949171256284074392649694228308147*c_0101_5^4 - 69730923614626997885310272055318083992220/9053949171256284074392649\ 694228308147*c_0101_5^3 - 6236659359639367551152833540945458063858/\ 9053949171256284074392649694228308147*c_0101_5^2 + 10541563409629581736258340446319999544985/9053949171256284074392649\ 694228308147*c_0101_5 + 558969454964544748977750274560015923902/905\ 3949171256284074392649694228308147, c_0011_0 - 1, c_0011_2 + 87276583859549159256876915837419/175202685358211275313827228\ 636111*c_0101_5^21 + 816164101367385791199799494837807/175202685358\ 211275313827228636111*c_0101_5^20 - 1016672268091012590698078486317841/17520268535821127531382722863611\ 1*c_0101_5^19 - 5979486467508561793287570147769165/1752026853582112\ 75313827228636111*c_0101_5^18 - 6810664465010631816827872144397907/\ 175202685358211275313827228636111*c_0101_5^17 - 18832624700705480900853658247094781/1752026853582112753138272286361\ 11*c_0101_5^16 - 6580104289558221377777768336218257/175202685358211\ 275313827228636111*c_0101_5^15 + 2126998413138089779926644653980858\ /175202685358211275313827228636111*c_0101_5^14 + 53345102349940241207855148841369046/1752026853582112753138272286361\ 11*c_0101_5^13 + 11029221437508004475724197044899467/17520268535821\ 1275313827228636111*c_0101_5^12 + 403050288828104887840007358386912\ 9/175202685358211275313827228636111*c_0101_5^11 + 53068717752077273075845253724510182/1752026853582112753138272286361\ 11*c_0101_5^10 - 144015261774087715178921868745286129/1752026853582\ 11275313827228636111*c_0101_5^9 - 315105850689415724116655390442921\ 21/175202685358211275313827228636111*c_0101_5^8 + 145234613128516387369707673592241514/175202685358211275313827228636\ 111*c_0101_5^7 - 38134079994063805383672521893120740/17520268535821\ 1275313827228636111*c_0101_5^6 - 2553254170155071958484532336541856\ 8/175202685358211275313827228636111*c_0101_5^5 + 17279990308736420368560487094400228/1752026853582112753138272286361\ 11*c_0101_5^4 - 6702508547106711828604380676341496/1752026853582112\ 75313827228636111*c_0101_5^3 - 1154583341923042258147034252054211/1\ 75202685358211275313827228636111*c_0101_5^2 + 626682059095667076720387687670185/175202685358211275313827228636111\ *c_0101_5 + 160306681847065168570285531467522/175202685358211275313\ 827228636111, c_0011_4 + 79218674177432871235321747874750631/292062876492138195948149\ 990136397037*c_0101_5^21 + 811886938019710880422071348558588075/292\ 062876492138195948149990136397037*c_0101_5^20 - 260468172212356934150151071320034757/292062876492138195948149990136\ 397037*c_0101_5^19 - 6270300248695684115031983383434413992/29206287\ 6492138195948149990136397037*c_0101_5^18 - 10954002596512924837261226142787228196/2920628764921381959481499901\ 36397037*c_0101_5^17 - 22494733947274915252613686622227237681/29206\ 2876492138195948149990136397037*c_0101_5^16 - 21602421651487570446574856464181064653/2920628764921381959481499901\ 36397037*c_0101_5^15 - 3915950781690368230029463716379532474/292062\ 876492138195948149990136397037*c_0101_5^14 + 47884809645099552288550603601588434935/2920628764921381959481499901\ 36397037*c_0101_5^13 + 50605081451011299344674110314291813158/29206\ 2876492138195948149990136397037*c_0101_5^12 + 8706575331548849470423484569662934999/29206287649213819594814999013\ 6397037*c_0101_5^11 + 53196216066033136755065539862506171568/292062\ 876492138195948149990136397037*c_0101_5^10 - 84641187465492453560583753282414293845/2920628764921381959481499901\ 36397037*c_0101_5^9 - 143476661608280987521201812915203538224/29206\ 2876492138195948149990136397037*c_0101_5^8 + 117503637690673652966198099474563496359/292062876492138195948149990\ 136397037*c_0101_5^7 + 80169580193756025717126825651595187932/29206\ 2876492138195948149990136397037*c_0101_5^6 - 64548705077445328216893905103893402265/2920628764921381959481499901\ 36397037*c_0101_5^5 - 579088916588993779446845561339365132/29206287\ 6492138195948149990136397037*c_0101_5^4 + 9441529412502405635070687471580674877/29206287649213819594814999013\ 6397037*c_0101_5^3 - 6959747067362900784878881879062410896/29206287\ 6492138195948149990136397037*c_0101_5^2 + 557563900723283071692003468027853304/292062876492138195948149990136\ 397037*c_0101_5 + 636482818012764025577299292056330764/292062876492\ 138195948149990136397037, c_0101_0 - 186993888263225341189280325354562/17520268535821127531382722\ 8636111*c_0101_5^21 - 1698136656744493391267503980487323/1752026853\ 58211275313827228636111*c_0101_5^20 + 2640788433843079158927175108226312/17520268535821127531382722863611\ 1*c_0101_5^19 + 12123788077847603890369417073822813/175202685358211\ 275313827228636111*c_0101_5^18 + 1119120232736100603355738048209937\ 1/175202685358211275313827228636111*c_0101_5^17 + 37091051787252496397729004482196542/1752026853582112753138272286361\ 11*c_0101_5^16 + 4359797502565312600188219720792088/175202685358211\ 275313827228636111*c_0101_5^15 - 5363092812592458691254327850436947\ /175202685358211275313827228636111*c_0101_5^14 - 110326592128855716397959091843972515/175202685358211275313827228636\ 111*c_0101_5^13 + 9477223672972358303184521358195529/17520268535821\ 1275313827228636111*c_0101_5^12 - 635158030679184631757654775916870\ 2/175202685358211275313827228636111*c_0101_5^11 - 114074109709883215819004211056571308/175202685358211275313827228636\ 111*c_0101_5^10 + 335743820493585124860991197243804996/175202685358\ 211275313827228636111*c_0101_5^9 - 24798815310971819158675665327845787/1752026853582112753138272286361\ 11*c_0101_5^8 - 319259573812295759709814163094885376/17520268535821\ 1275313827228636111*c_0101_5^7 + 1720751971941511406247302009910354\ 36/175202685358211275313827228636111*c_0101_5^6 + 22872268579828955629490001671108132/1752026853582112753138272286361\ 11*c_0101_5^5 - 50655458450177338145873172146844014/175202685358211\ 275313827228636111*c_0101_5^4 + 25907438021764260468197009475493909\ /175202685358211275313827228636111*c_0101_5^3 - 2662672602620807227735288876864932/17520268535821127531382722863611\ 1*c_0101_5^2 - 1895908171997670942708432410513495/17520268535821127\ 5313827228636111*c_0101_5 + 226059265283357854466572699062384/17520\ 2685358211275313827228636111, c_0101_1 - 8026045221656112290268090286560/1752026853582112753138272286\ 36111*c_0101_5^21 - 15935746372327628871275685031091/17520268535821\ 1275313827228636111*c_0101_5^20 + 651193013705462178402837526720862\ /175202685358211275313827228636111*c_0101_5^19 - 86891250748012693964603892030756/175202685358211275313827228636111*\ c_0101_5^18 - 3413704029945942084057788375388794/175202685358211275\ 313827228636111*c_0101_5^17 - 3239003069974663044846386868375040/17\ 5202685358211275313827228636111*c_0101_5^16 - 12999392001431360857630469790461639/1752026853582112753138272286361\ 11*c_0101_5^15 - 6573558084269962437334435729971903/175202685358211\ 275313827228636111*c_0101_5^14 - 5940376395155458915901750350497925\ /175202685358211275313827228636111*c_0101_5^13 + 33093670409217512253425746447728963/1752026853582112753138272286361\ 11*c_0101_5^12 + 8497732284607675302384479590691368/175202685358211\ 275313827228636111*c_0101_5^11 + 1213546967099380456483382760037707\ /175202685358211275313827228636111*c_0101_5^10 + 52271197341977686287570712793239147/1752026853582112753138272286361\ 11*c_0101_5^9 - 89139121685979444500980837199259888/175202685358211\ 275313827228636111*c_0101_5^8 - 36633012306956922315560176444343386\ /175202685358211275313827228636111*c_0101_5^7 + 94023788058969027393091286344441452/1752026853582112753138272286361\ 11*c_0101_5^6 - 22272819915129744362425234860196488/175202685358211\ 275313827228636111*c_0101_5^5 - 15428506634531900524626496363184190\ /175202685358211275313827228636111*c_0101_5^4 + 12133213528583157024931738366112725/1752026853582112753138272286361\ 11*c_0101_5^3 - 4326293698127649028922356554084167/1752026853582112\ 75313827228636111*c_0101_5^2 - 547858267509756705776862713396564/17\ 5202685358211275313827228636111*c_0101_5 + 324081845324750291903719852936207/175202685358211275313827228636111\ , c_0101_3 + 43247193917828668405018082609202927/292062876492138195948149\ 990136397037*c_0101_5^21 + 477267911076351243725383753486006265/292\ 062876492138195948149990136397037*c_0101_5^20 + 177414825164490478305440967121951309/292062876492138195948149990136\ 397037*c_0101_5^19 - 3801222627396761770284022916440977794/29206287\ 6492138195948149990136397037*c_0101_5^18 - 8263462461695127738794381502205932969/29206287649213819594814999013\ 6397037*c_0101_5^17 - 15069581896904261005429493837711580577/292062\ 876492138195948149990136397037*c_0101_5^16 - 19692208251995437247824144492814988775/2920628764921381959481499901\ 36397037*c_0101_5^15 - 5703524097655321241231902349352499177/292062\ 876492138195948149990136397037*c_0101_5^14 + 25066705915672416611560818806174258832/2920628764921381959481499901\ 36397037*c_0101_5^13 + 47039290263385780750659000985959529585/29206\ 2876492138195948149990136397037*c_0101_5^12 + 9033321552469291244331179299629116177/29206287649213819594814999013\ 6397037*c_0101_5^11 + 34184228328854454368563419747509285978/292062\ 876492138195948149990136397037*c_0101_5^10 - 23218781233575720121612470659517782305/2920628764921381959481499901\ 36397037*c_0101_5^9 - 131782959383768201736096913471257773691/29206\ 2876492138195948149990136397037*c_0101_5^8 + 54839025416827703929884449271285315144/2920628764921381959481499901\ 36397037*c_0101_5^7 + 91974043293255416644788792186610848007/292062\ 876492138195948149990136397037*c_0101_5^6 - 52970270629572626182962799543380954151/2920628764921381959481499901\ 36397037*c_0101_5^5 - 3969213691938913676466550397582898878/2920628\ 76492138195948149990136397037*c_0101_5^4 + 11476443113806729592127347451368476416/2920628764921381959481499901\ 36397037*c_0101_5^3 - 7119558423026907331444712760604757139/2920628\ 76492138195948149990136397037*c_0101_5^2 + 166947289742505777050395967522653741/292062876492138195948149990136\ 397037*c_0101_5 + 561510510076567061029382524662649123/292062876492\ 138195948149990136397037, c_0101_5^22 + 9*c_0101_5^21 - 15*c_0101_5^20 - 65*c_0101_5^19 - 53*c_0101_5^18 - 184*c_0101_5^17 + 4*c_0101_5^16 + 62*c_0101_5^15 + 601*c_0101_5^14 - 97*c_0101_5^13 - 42*c_0101_5^12 + 592*c_0101_5^11 - 1856*c_0101_5^10 + 187*c_0101_5^9 + 1918*c_0101_5^8 - 1017*c_0101_5^7 - 271*c_0101_5^6 + 350*c_0101_5^5 - 126*c_0101_5^4 - 3*c_0101_5^3 + 21*c_0101_5^2 - 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB