Magma V2.19-8 Tue Aug 20 2013 23:39:50 on localhost [Seed = 2244206906] Type ? for help. Type -D to quit. Loading file "K14n18550__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18550 geometric_solution 10.17339811 oriented_manifold CS_known 0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 11 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 0.392160895918 0.619747617301 0 5 6 3 0132 0132 0132 1302 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 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.054035185965 0.688578271465 7 0 9 8 0132 0132 0132 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 0 0 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874697981030 0.708041874523 9 6 1 0 2031 3120 2031 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 -1 0 1 0 0 0 0 0 0 0 0 14 -1 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.152330613770 0.895778289784 7 10 0 5 3120 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498161403639 0.670754635876 8 1 4 9 3120 0132 1230 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.256886140652 0.914496255326 7 3 10 1 2103 3120 0321 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 1 -1 0 0 0 -13 13 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802923308245 0.683081049122 2 8 6 4 0132 3120 2103 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.249778564813 0.680442177078 10 7 2 5 0321 3120 0132 3120 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 14 0 -14 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 0.950433810941 0.713729175185 5 10 3 2 3012 0321 1302 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 0 0 0 0 -14 14 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929363475037 0.590816127737 8 4 6 9 0321 0132 0321 0321 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 -1 1 0 0 0 1 -1 0 0 0 0 -14 1 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.147107066890 1.231512599169 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_3'], 'c_1100_8' : d['c_0101_3'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : d['c_0101_3'], 'c_1100_10' : d['c_0101_0'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_0']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 16950547305393997440874595488472009063893799/2983770371179602744120\ 36817647090372882*c_1001_5^14 + 28827970216833512295060772358237403\ 065875337/298377037117960274412036817647090372882*c_1001_5^13 + 56386562810338199107018760828216401382581559/3315300412421780826800\ 4090849676708098*c_1001_5^12 + 730337456066777563410450977181975409\ 243262639/149188518558980137206018408823545186441*c_1001_5^11 + 349734121811048483554940836091694954787689547/994590123726534248040\ 12272549030124294*c_1001_5^10 + 46615209439186063148366116919039957\ 0690023478/149188518558980137206018408823545186441*c_1001_5^9 + 1045547852605793343606691622801368940962171769/14918851855898013720\ 6018408823545186441*c_1001_5^8 + 3730630716489503427516094194052655\ 13404551567/42625291016851467773148116806727196126*c_1001_5^7 + 45759476188521296358866761462562772426709130/7852027292577901958211\ 495201239220339*c_1001_5^6 + 21532966422778598218659423199242619763\ 190622/7852027292577901958211495201239220339*c_1001_5^5 + 51610620698587905542356174807970239990827115/2131264550842573388657\ 4058403363598063*c_1001_5^4 + 5887948102020430045943378252190338862\ 63944821/298377037117960274412036817647090372882*c_1001_5^3 + 227844184612824651803720325778880535355311361/298377037117960274412\ 036817647090372882*c_1001_5^2 + 15855805499759687814351030489223642\ 869083281/149188518558980137206018408823545186441*c_1001_5 - 358459265669151962747922286490922393056197/165765020621089041340020\ 45424838354049, c_0011_0 - 1, c_0011_10 - 254060464439930808576890693574/2776170769610731071275212639\ 99*c_1001_5^14 - 372549185897390950663512816150/2776170769610731071\ 27521263999*c_1001_5^13 - 7552042205494520987897696534397/277617076\ 961073107127521263999*c_1001_5^12 - 20163278834876899191519239758766/277617076961073107127521263999*c_1\ 001_5^11 - 11990267969264027822180285591938/27761707696107310712752\ 1263999*c_1001_5^10 - 13542790238408049226650396781352/277617076961\ 073107127521263999*c_1001_5^9 - 29587029970934646371905657829410/27\ 7617076961073107127521263999*c_1001_5^8 - 34548544783740651350336273886376/277617076961073107127521263999*c_1\ 001_5^7 - 1112623850005643228027427683871/1461142510321437405934322\ 4421*c_1001_5^6 - 600917625750123520701759292161/146114251032143740\ 59343224421*c_1001_5^5 - 10763446368268727661629453363448/277617076\ 961073107127521263999*c_1001_5^4 - 8115540893087345832500588072217/277617076961073107127521263999*c_10\ 01_5^3 - 2492882501121162193965179019272/27761707696107310712752126\ 3999*c_1001_5^2 - 426436508727946398926682773691/277617076961073107\ 127521263999*c_1001_5 - 163365594135978138117037087443/277617076961\ 073107127521263999, c_0011_3 + 1024879430932254109448046072781/2776170769610731071275212639\ 99*c_1001_5^14 + 1892715896020734263123603452481/277617076961073107\ 127521263999*c_1001_5^13 + 30959364679447680785219311520818/2776170\ 76961073107127521263999*c_1001_5^12 + 92816762809253139902070350896957/277617076961073107127521263999*c_1\ 001_5^11 + 76949525005654071850616126894787/27761707696107310712752\ 1263999*c_1001_5^10 + 66953621423652226312899402610321/277617076961\ 073107127521263999*c_1001_5^9 + 134755005580988520859097785585892/2\ 77617076961073107127521263999*c_1001_5^8 + 177381027880577163274672506521987/277617076961073107127521263999*c_\ 1001_5^7 + 6864884718659709555998366060900/146114251032143740593432\ 24421*c_1001_5^6 + 3471801431569185339982182713978/1461142510321437\ 4059343224421*c_1001_5^5 + 51461966242309704193102980112911/2776170\ 76961073107127521263999*c_1001_5^4 + 42491264123124406055936487635826/277617076961073107127521263999*c_1\ 001_5^3 + 19741549882982301272310458708261/277617076961073107127521\ 263999*c_1001_5^2 + 3702796779887022036767402657299/277617076961073\ 107127521263999*c_1001_5 - 261542558120663337821508374873/277617076\ 961073107127521263999, c_0011_6 + 1039052480694046538239294590556/2776170769610731071275212639\ 99*c_1001_5^14 + 1585522020401424085581906498290/277617076961073107\ 127521263999*c_1001_5^13 + 30847505964241145038827952265225/2776170\ 76961073107127521263999*c_1001_5^12 + 84151746655978669701375564224993/277617076961073107127521263999*c_1\ 001_5^11 + 50101670284123052422012868878335/27761707696107310712752\ 1263999*c_1001_5^10 + 49166546372424668606830789053765/277617076961\ 073107127521263999*c_1001_5^9 + 119672042288606524960174120577982/2\ 77617076961073107127521263999*c_1001_5^8 + 140815813485178462482908057445042/277617076961073107127521263999*c_\ 1001_5^7 + 4367039520316868353354612053710/146114251032143740593432\ 24421*c_1001_5^6 + 1948497048768993463207618312538/1461142510321437\ 4059343224421*c_1001_5^5 + 39077688161133052355311155878660/2776170\ 76961073107127521263999*c_1001_5^4 + 30213440874042549366370476675350/277617076961073107127521263999*c_1\ 001_5^3 + 9299699531009496114314747875039/2776170769610731071275212\ 63999*c_1001_5^2 + 464270728235590776090932954339/27761707696107310\ 7127521263999*c_1001_5 - 322621572165591909403933031060/27761707696\ 1073107127521263999, c_0101_0 + 21780868617045112293456836968/14611425103214374059343224421*\ c_1001_5^14 + 32890600678949349781401657065/14611425103214374059343\ 224421*c_1001_5^13 + 648378878085446952640581706547/146114251032143\ 74059343224421*c_1001_5^12 + 1754478349246957300613679355038/146114\ 25103214374059343224421*c_1001_5^11 + 1087148379441736792317214913317/14611425103214374059343224421*c_100\ 1_5^10 + 1118352853265010778592750088397/14611425103214374059343224\ 421*c_1001_5^9 + 2426039082394501768916314859559/146114251032143740\ 59343224421*c_1001_5^8 + 2994280428203673978558120998189/1461142510\ 3214374059343224421*c_1001_5^7 + 1853315546065200010594264592579/14\ 611425103214374059343224421*c_1001_5^6 + 804932342308944199895729350097/14611425103214374059343224421*c_1001\ _5^5 + 765597188813792049751510064107/14611425103214374059343224421\ *c_1001_5^4 + 630024991544654257622299061962/1461142510321437405934\ 3224421*c_1001_5^3 + 238131020191559196997371956802/146114251032143\ 74059343224421*c_1001_5^2 + 7157184207765909663366973385/1461142510\ 3214374059343224421*c_1001_5 - 15231889337133702094727918087/146114\ 25103214374059343224421, c_0101_1 - 377421901819794061620833221672/27761707696107310712752126399\ 9*c_1001_5^14 - 509849874152428618869851164989/27761707696107310712\ 7521263999*c_1001_5^13 - 11200800762083877179050388328548/277617076\ 961073107127521263999*c_1001_5^12 - 28707072794978682087023233652981/277617076961073107127521263999*c_1\ 001_5^11 - 15676096711712172381478763924352/27761707696107310712752\ 1263999*c_1001_5^10 - 21155692130230987603585435299400/277617076961\ 073107127521263999*c_1001_5^9 - 42106987079850119712662256342378/27\ 7617076961073107127521263999*c_1001_5^8 - 47434242431198723000314438957117/277617076961073107127521263999*c_1\ 001_5^7 - 1585139983773192738067947978931/1461142510321437405934322\ 4421*c_1001_5^6 - 921337955227198761868816505630/146114251032143740\ 59343224421*c_1001_5^5 - 15520813723825770650287994304994/277617076\ 961073107127521263999*c_1001_5^4 - 10280410964220814105148523905580/277617076961073107127521263999*c_1\ 001_5^3 - 4235835460992649565077205285168/2776170769610731071275212\ 63999*c_1001_5^2 - 1139205713975786066641904694277/2776170769610731\ 07127521263999*c_1001_5 - 278496144006831469475658616411/2776170769\ 61073107127521263999, c_0101_10 + 373804050792021265068859360905/2776170769610731071275212639\ 99*c_1001_5^14 + 737334763933210233115212507635/2776170769610731071\ 27521263999*c_1001_5^13 + 11365204905481873012243680487372/27761707\ 6961073107127521263999*c_1001_5^12 + 35247163902331295860639596659831/277617076961073107127521263999*c_1\ 001_5^11 + 31918630320435087161917782182887/27761707696107310712752\ 1263999*c_1001_5^10 + 26702608593675763063365249737931/277617076961\ 073107127521263999*c_1001_5^9 + 51194870253656675237610867409137/27\ 7617076961073107127521263999*c_1001_5^8 + 69986146785309793256536956799546/277617076961073107127521263999*c_1\ 001_5^7 + 2822108534079675893671873334025/1461142510321437405934322\ 4421*c_1001_5^6 + 1457200336180943688389308301268/14611425103214374\ 059343224421*c_1001_5^5 + 20209365741340219498554007304433/27761707\ 6961073107127521263999*c_1001_5^4 + 16887872646296659527346681180132/277617076961073107127521263999*c_1\ 001_5^3 + 8439055184485599247179516078839/2776170769610731071275212\ 63999*c_1001_5^2 + 1637307119062935394281930033495/2776170769610731\ 07127521263999*c_1001_5 + 57807113726617889802975036807/27761707696\ 1073107127521263999, c_0101_2 - 507349177244910517869204225941/27761707696107310712752126399\ 9*c_1001_5^14 - 786912888898146937682166612421/27761707696107310712\ 7521263999*c_1001_5^13 - 14998071757619201147380322039675/277617076\ 961073107127521263999*c_1001_5^12 - 41418040254524589490169329059968/277617076961073107127521263999*c_1\ 001_5^11 - 23069669529413546521476855041990/27761707696107310712752\ 1263999*c_1001_5^10 - 20118220739099981232001261701539/277617076961\ 073107127521263999*c_1001_5^9 - 59503961546080762651384761705341/27\ 7617076961073107127521263999*c_1001_5^8 - 66416083156872044417291331607649/277617076961073107127521263999*c_1\ 001_5^7 - 1906541112617048289196713616739/1461142510321437405934322\ 4421*c_1001_5^6 - 723318865169810298846646892566/146114251032143740\ 59343224421*c_1001_5^5 - 18103593480075158167585986189566/277617076\ 961073107127521263999*c_1001_5^4 - 14099706936950220405239394464962/277617076961073107127521263999*c_1\ 001_5^3 - 2981426560029324691049797153652/2776170769610731071275212\ 63999*c_1001_5^2 + 342792236569657644034287639283/27761707696107310\ 7127521263999*c_1001_5 + 331965241430260112592343980791/27761707696\ 1073107127521263999, c_0101_3 - 736492939013862718269059788750/27761707696107310712752126399\ 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