Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 3785391565] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s220 geometric_solution 4.37343008 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 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 0.623600065562 0.172485585411 2 0 2 0 0132 2310 1023 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 1 0 -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 0.886772889770 0.239540017267 1 3 1 4 0132 0132 1023 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 -1 0 1 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 1.169129878920 0.454912847235 4 2 5 4 3012 0132 0132 1230 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 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 1.121528733833 0.741701282180 3 5 2 3 3012 3201 0132 1230 0 0 0 0 0 -1 0 1 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 -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 1.121528733833 0.741701282180 5 5 4 3 1230 3012 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827513887124 0.783598305541 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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_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_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_5'], '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_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_5']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 186604883988143145403703629925/7337665982841579926892804336*c_0101_\ 5^14 + 546570412660298577014580382759/2445888660947193308964268112*\ c_0101_5^13 - 3568746753039355620131665610177/733766598284157992689\ 2804336*c_0101_5^12 - 1700536021911775353218415724049/7337665982841\ 579926892804336*c_0101_5^11 + 16426346874494386597417606492227/1222\ 944330473596654482134056*c_0101_5^10 + 187952880972244627371414504049339/3668832991420789963446402168*c_01\ 01_5^9 + 26272534696407495096835039154969/2822179224169838433420309\ 36*c_0101_5^8 + 253573256134233975949094486466553/36688329914207899\ 63446402168*c_0101_5^7 - 108897068044739233965362594051/35277240302\ 122980417753867*c_0101_5^6 - 76271458496888633791907709105373/24458\ 88660947193308964268112*c_0101_5^5 - 93580038600248696773422188660629/3668832991420789963446402168*c_010\ 1_5^4 - 24943589539225822977518060379233/36688329914207899634464021\ 68*c_0101_5^3 - 1211782590037394648680311678115/1411089612084919216\ 71015468*c_0101_5^2 - 7515257019307818691227323813285/7337665982841\ 579926892804336*c_0101_5 + 7512352157934330728441329375315/73376659\ 82841579926892804336, c_0011_0 - 1, c_0011_1 + 12278621045183035199970106/152868041309199581810266757*c_010\ 1_5^14 - 107463025782995904456406568/152868041309199581810266757*c_\ 0101_5^13 + 231023101914388855491987533/152868041309199581810266757\ *c_0101_5^12 + 120512801120031843586681036/152868041309199581810266\ 757*c_0101_5^11 - 6483423009990442203790692921/15286804130919958181\ 0266757*c_0101_5^10 - 24958236046283450966930284331/152868041309199\ 581810266757*c_0101_5^9 - 3523001417619352209424758392/117590801007\ 07660139251289*c_0101_5^8 - 35016820280658180551656921497/152868041\ 309199581810266757*c_0101_5^7 - 600382860620269433873433/1175908010\ 0707660139251289*c_0101_5^6 + 14479376465950702000584251218/1528680\ 41309199581810266757*c_0101_5^5 + 12460587804367443288315449547/152\ 868041309199581810266757*c_0101_5^4 + 3852322255739866704801119993/152868041309199581810266757*c_0101_5^3 + 340994942855383933140475530/11759080100707660139251289*c_0101_5^2 + 710264783328025388692888186/152868041309199581810266757*c_0101_5 - 437241061913475230377070305/152868041309199581810266757, c_0011_5 + 8452608331701971606485896/152868041309199581810266757*c_0101\ _5^14 - 74150855565596925478648745/152868041309199581810266757*c_01\ 01_5^13 + 160913336514539893576300464/152868041309199581810266757*c\ _0101_5^12 + 76360018050187856604027952/152868041309199581810266757\ *c_0101_5^11 - 4456492770475267466666527945/15286804130919958181026\ 6757*c_0101_5^10 - 17089613901651846689556617278/152868041309199581\ 810266757*c_0101_5^9 - 2412975259461252058410593106/117590801007076\ 60139251289*c_0101_5^8 - 24092513018472266392434784719/152868041309\ 199581810266757*c_0101_5^7 - 36775929758172603430437373/11759080100\ 707660139251289*c_0101_5^6 + 9638521579129687129334764164/152868041\ 309199581810266757*c_0101_5^5 + 8903888222614870291176015177/152868\ 041309199581810266757*c_0101_5^4 + 2908380759326535506458118101/152868041309199581810266757*c_0101_5^3 + 240982650876331718117184658/11759080100707660139251289*c_0101_5^2 + 453089766193942486500927047/152868041309199581810266757*c_0101_5 - 248830605863521581180322297/152868041309199581810266757, c_0101_0 + 3713676522536777485319465/152868041309199581810266757*c_0101\ _5^14 - 31321367205147572772071109/152868041309199581810266757*c_01\ 01_5^13 + 59144620149555802395946583/152868041309199581810266757*c_\ 0101_5^12 + 62643360754252010708584566/152868041309199581810266757*\ c_0101_5^11 - 1962473121212108039542560623/152868041309199581810266\ 757*c_0101_5^10 - 8154633797641812748623517691/15286804130919958181\ 0266757*c_0101_5^9 - 1236889775791858062557843654/11759080100707660\ 139251289*c_0101_5^8 - 14421690236223333917632618529/15286804130919\ 9581810266757*c_0101_5^7 - 192654875443246206181773158/117590801007\ 07660139251289*c_0101_5^6 + 4806161987104291675208637677/1528680413\ 09199581810266757*c_0101_5^5 + 5076306061842023223900654760/1528680\ 41309199581810266757*c_0101_5^4 + 1732812433258125685872677074/1528\ 68041309199581810266757*c_0101_5^3 + 113943322846619345984033535/11759080100707660139251289*c_0101_5^2 + 633886312646017936569186159/152868041309199581810266757*c_0101_5 - 90337995877083931395541634/152868041309199581810266757, c_0101_1 + 5454713816851677930813584/152868041309199581810266757*c_0101\ _5^14 - 47718805970505773421629651/152868041309199581810266757*c_01\ 01_5^13 + 102303637258105636673642637/152868041309199581810266757*c\ _0101_5^12 + 55409287797286503745603491/152868041309199581810266757\ *c_0101_5^11 - 2885017840077134320126528611/15286804130919958181026\ 6757*c_0101_5^10 - 11092323144281019611519700803/152868041309199581\ 810266757*c_0101_5^9 - 1563409266902352496708731528/117590801007076\ 60139251289*c_0101_5^8 - 15442766699405985770780065137/152868041309\ 199581810266757*c_0101_5^7 + 10675228188833130488244113/11759080100\ 707660139251289*c_0101_5^6 + 6388548266674554513298381943/152868041\ 309199581810266757*c_0101_5^5 + 5341564488761868205278661751/152868\ 041309199581810266757*c_0101_5^4 + 1579263119229673213098612470/152868041309199581810266757*c_0101_5^3 + 153152399865753685727283731/11759080100707660139251289*c_0101_5^2 + 308566267008097785538018775/152868041309199581810266757*c_0101_5 - 87246478692450370983750945/152868041309199581810266757, c_0101_5^15 - 9*c_0101_5^14 + 21*c_0101_5^13 + 5*c_0101_5^12 - 530*c_0101_5^11 - 1902*c_0101_5^10 - 3234*c_0101_5^9 - 1946*c_0101_5^8 + 688*c_0101_5^7 + 1195*c_0101_5^6 + 746*c_0101_5^5 + 58*c_0101_5^4 + 284*c_0101_5^3 - 31*c_0101_5^2 - 47*c_0101_5 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB