Magma V2.19-8 Tue Aug 20 2013 16:19:01 on localhost [Seed = 442206066] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3175 geometric_solution 6.32171453 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 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 0.506940129196 0.401956562662 2 0 3 0 0132 2310 0132 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 1 -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 1.281899437201 0.558381466790 1 4 5 6 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 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 0.645161538227 0.623985621738 6 5 4 1 0132 1023 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645161538227 0.623985621738 4 2 3 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435696109426 0.854034428835 3 5 5 2 1023 1230 3012 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475928380409 0.579462786509 3 6 2 6 0132 2310 0132 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 -1 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 1.036587837473 1.021902152654 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : 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' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 105314068841481112021231309/1848290198383041690367483*c_0101_4^25 - 20146118933290740598709063773/5544870595149125071102449*c_0101_4^23 + 27172592016696770775340382095/1848290198383041690367483*c_0101_4^\ 21 - 13224363189018876323345169827/1848290198383041690367483*c_0101\ _4^19 + 72991895187751504764536803949/5544870595149125071102449*c_0\ 101_4^17 - 3249532359167503900675910894/1848290198383041690367483*c\ _0101_4^15 - 299326690692592131307883746826/55448705951491250711024\ 49*c_0101_4^13 - 119046470635634792129722179752/5544870595149125071\ 102449*c_0101_4^11 - 174683392514750415410149538023/554487059514912\ 5071102449*c_0101_4^9 - 45879417682183070683040350766/1848290198383\ 041690367483*c_0101_4^7 + 77908737060486453508274277886/55448705951\ 49125071102449*c_0101_4^5 + 87825110916922183010413075898/554487059\ 5149125071102449*c_0101_4^3 + 3605439645991195157017365937/55448705\ 95149125071102449*c_0101_4, c_0011_0 - 1, c_0011_1 + 19757203070039962055668/1848290198383041690367483*c_0101_4^2\ 4 - 1268762878147928960886322/1848290198383041690367483*c_0101_4^22 + 5669299583122465943928659/1848290198383041690367483*c_0101_4^20 - 4883971986595996403190900/1848290198383041690367483*c_0101_4^18 + 5975194830229533064171446/1848290198383041690367483*c_0101_4^16 - 2505905915057410405793389/1848290198383041690367483*c_0101_4^14 - 17965456478904042695246965/1848290198383041690367483*c_0101_4^12 + 1283166816544657582507271/1848290198383041690367483*c_0101_4^10 - 9542377764140911495621706/1848290198383041690367483*c_0101_4^8 - 4571555366052744877167683/1848290198383041690367483*c_0101_4^6 + 5657575645023403429244249/1848290198383041690367483*c_0101_4^4 + 2845705947154624347695963/1848290198383041690367483*c_0101_4^2 - 1446492040175344735222170/1848290198383041690367483, c_0011_3 + 185939174072360900220134/1848290198383041690367483*c_0101_4^\ 25 - 11891347188978404633537972/1848290198383041690367483*c_0101_4^\ 23 + 50205109282556737940129238/1848290198383041690367483*c_0101_4^\ 21 - 32659341358745950761760375/1848290198383041690367483*c_0101_4^\ 19 + 48746082717463755209504408/1848290198383041690367483*c_0101_4^\ 17 - 15198729864104798645802974/1848290198383041690367483*c_0101_4^\ 15 - 173236426887550353250681846/1848290198383041690367483*c_0101_4\ ^13 - 38333525501022037802039762/1848290198383041690367483*c_0101_4\ ^11 - 92820706725553581360670420/1848290198383041690367483*c_0101_4\ ^9 - 60996677167884412887868531/1848290198383041690367483*c_0101_4^\ 7 + 57970655231791386736138903/1848290198383041690367483*c_0101_4^5 + 43193473315619616154867398/1848290198383041690367483*c_0101_4^3 - 7733924183258038385036538/1848290198383041690367483*c_0101_4, c_0101_0 + 81016724329659244598044/1848290198383041690367483*c_0101_4^2\ 5 - 5201085905944281941513673/1848290198383041690367483*c_0101_4^23 + 23141982999388086487531947/1848290198383041690367483*c_0101_4^21 - 19490058259933754414470634/1848290198383041690367483*c_0101_4^19 + 24528334397937223974105580/1848290198383041690367483*c_0101_4^17 - 12695222511333228197039744/1848290198383041690367483*c_0101_4^15 - 72649180929367815589315901/1848290198383041690367483*c_0101_4^13 + 185590825467263342486802/1848290198383041690367483*c_0101_4^11 - 33948403755356292905754050/1848290198383041690367483*c_0101_4^9 - 13748062674338646164206405/1848290198383041690367483*c_0101_4^7 + 30639666045545662938995587/1848290198383041690367483*c_0101_4^5 + 14668766700735792025954650/1848290198383041690367483*c_0101_4^3 - 6581734150036488095247397/1848290198383041690367483*c_0101_4, c_0101_1 + 37944739977663263946705/1848290198383041690367483*c_0101_4^2\ 4 - 2430440055743094945244039/1848290198383041690367483*c_0101_4^22 + 10484703008142935245117828/1848290198383041690367483*c_0101_4^20 - 7587562941740647884302788/1848290198383041690367483*c_0101_4^18 + 10080500956556018131278386/1848290198383041690367483*c_0101_4^16 - 3084992455493543166676852/1848290198383041690367483*c_0101_4^14 - 36627903953125486237478997/1848290198383041690367483*c_0101_4^12 - 2290189687708519095939835/1848290198383041690367483*c_0101_4^10 - 19386131160964771368172537/1848290198383041690367483*c_0101_4^8 - 10015203244146038596955804/1848290198383041690367483*c_0101_4^6 + 12629400317489638610777693/1848290198383041690367483*c_0101_4^4 + 6216088525993166085224485/1848290198383041690367483*c_0101_4^2 - 707633308491294295801963/1848290198383041690367483, c_0101_3 - 21966446319169736793962/1848290198383041690367483*c_0101_4^2\ 4 + 1402242399673349480220625/1848290198383041690367483*c_0101_4^22 - 5760879724866880315279532/1848290198383041690367483*c_0101_4^20 + 2805834172751453408371672/1848290198383041690367483*c_0101_4^18 - 3647024600194333341580964/1848290198383041690367483*c_0101_4^16 - 669587216924239873565081/1848290198383041690367483*c_0101_4^14 + 23283158439554491605952224/1848290198383041690367483*c_0101_4^12 + 4913382674132996029407645/1848290198383041690367483*c_0101_4^10 + 7442314146576193409795621/1848290198383041690367483*c_0101_4^8 + 8448167719800030283094056/1848290198383041690367483*c_0101_4^6 - 8702719049792635601997990/1848290198383041690367483*c_0101_4^4 - 6719277636226826689551353/1848290198383041690367483*c_0101_4^2 + 1478998214186938046264342/1848290198383041690367483, c_0101_4^26 - 64*c_0101_4^24 + 273*c_0101_4^22 - 187*c_0101_4^20 + 264*c_0101_4^18 - 87*c_0101_4^16 - 937*c_0101_4^14 - 155*c_0101_4^12 - 477*c_0101_4^10 - 310*c_0101_4^8 + 342*c_0101_4^6 + 215*c_0101_4^4 - 50*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB