Magma V2.19-8 Tue Aug 20 2013 16:17:27 on localhost [Seed = 2160139338] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1686 geometric_solution 5.40821816 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 -1 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 0 0 0 0 0 -1 0 1 -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 0.163198193196 0.500012417568 0 3 5 4 0132 2310 0132 0132 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 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 0.232833590836 0.572956005844 2 0 0 2 3201 0132 1023 2310 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 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 1.636717700303 0.795011973972 5 6 0 1 0213 0132 0132 3201 0 0 0 0 0 1 -1 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 -1 1 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 -0.198388778451 1.754126247599 4 6 1 4 3201 0321 0132 2310 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 0 -0.130406487641 0.948123691927 3 6 6 1 0213 3201 2103 0132 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 -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 1.637257470194 0.416846543890 5 3 5 4 2103 0132 2310 0321 0 0 0 0 0 -1 0 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 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 0.474607571283 0.572838920882 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_1001_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_1001_1']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : 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_3, c_0011_4, c_0011_5, c_0101_0, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 475025530770656347784171676417/10492261896496361312415658103*c_1001\ _1^24 - 1736605867324465285093759584513/104922618964963613124156581\ 03*c_1001_1^22 + 22992329092852740933862490455331/10492261896496361\ 312415658103*c_1001_1^20 - 12627163064318472218974880331985/1049226\ 1896496361312415658103*c_1001_1^18 - 47584978739321008863215879899595/10492261896496361312415658103*c_10\ 01_1^16 + 70129075900528206037543677118630/104922618964963613124156\ 58103*c_1001_1^14 + 220791365169900159274999628527909/1049226189649\ 6361312415658103*c_1001_1^12 - 820298179188688476576187046187951/10\ 492261896496361312415658103*c_1001_1^10 + 978843100121278618890792781749264/10492261896496361312415658103*c_1\ 001_1^8 - 600318541988854734981106608292900/10492261896496361312415\ 658103*c_1001_1^6 + 257241444819196281111152192024483/1049226189649\ 6361312415658103*c_1001_1^4 - 74607046215817798389308123081297/1049\ 2261896496361312415658103*c_1001_1^2 + 6812164739931222287516041889458/10492261896496361312415658103, c_0011_0 - 1, c_0011_3 - 713000444533190911934836596/10492261896496361312415658103*c_\ 1001_1^24 + 2692143810294485671901649699/10492261896496361312415658\ 103*c_1001_1^22 - 34667354873424634572556010241/1049226189649636131\ 2415658103*c_1001_1^20 + 22614223465898244435628457622/104922618964\ 96361312415658103*c_1001_1^18 + 76417378134173301913764670805/10492\ 261896496361312415658103*c_1001_1^16 - 113679516474796934330610632734/10492261896496361312415658103*c_1001\ _1^14 - 334944004720874563474716544870/1049226189649636131241565810\ 3*c_1001_1^12 + 1284256633136584326949217529131/1049226189649636131\ 2415658103*c_1001_1^10 - 1535274973015169649799720359148/1049226189\ 6496361312415658103*c_1001_1^8 + 853834368438789193956524742458/104\ 92261896496361312415658103*c_1001_1^6 - 311799710702537453465593233678/10492261896496361312415658103*c_1001\ _1^4 + 80873115039793301297722041200/10492261896496361312415658103*\ c_1001_1^2 + 1986500767803458724534268123/1049226189649636131241565\ 8103, c_0011_4 + 301744615207280793358206717/10492261896496361312415658103*c_\ 1001_1^24 - 1331881354147345619929975383/10492261896496361312415658\ 103*c_1001_1^22 + 15131239404755769933221147137/1049226189649636131\ 2415658103*c_1001_1^20 - 18227621919147575976676057138/104922618964\ 96361312415658103*c_1001_1^18 - 38438949680450074078957936373/10492\ 261896496361312415658103*c_1001_1^16 + 63394048257987201901346072739/10492261896496361312415658103*c_1001_\ 1^14 + 132837586186971534304188155710/10492261896496361312415658103\ *c_1001_1^12 - 652224464932445481375785572812/104922618964963613124\ 15658103*c_1001_1^10 + 851942333521244744068737377282/1049226189649\ 6361312415658103*c_1001_1^8 - 458590569439204013884447182565/104922\ 61896496361312415658103*c_1001_1^6 + 135673948564367686758198460519/10492261896496361312415658103*c_1001\ _1^4 - 38866896217370492990566593372/10492261896496361312415658103*\ c_1001_1^2 - 1848563947797193856825174081/1049226189649636131241565\ 8103, c_0011_5 - 122855168414224502176220838/10492261896496361312415658103*c_\ 1001_1^25 + 1423051868923241758384563213/10492261896496361312415658\ 103*c_1001_1^23 - 9104334738131980910754656737/10492261896496361312\ 415658103*c_1001_1^21 + 49218439088972750659907192160/1049226189649\ 6361312415658103*c_1001_1^19 + 5073725092266630463148281061/1049226\ 1896496361312415658103*c_1001_1^17 - 113236633695215361626501674185/10492261896496361312415658103*c_1001\ _1^15 + 48507551675312946222213161977/10492261896496361312415658103\ *c_1001_1^13 + 697075725397634156408103323419/104922618964963613124\ 15658103*c_1001_1^11 - 1725794803806962069880833651794/104922618964\ 96361312415658103*c_1001_1^9 + 1617099352947224231964682192193/1049\ 2261896496361312415658103*c_1001_1^7 - 848650705587467397076356316261/10492261896496361312415658103*c_1001\ _1^5 + 337275649085851477238446692305/10492261896496361312415658103\ *c_1001_1^3 - 63247111784972641060859310050/10492261896496361312415\ 658103*c_1001_1, c_0101_0 + 1241431380056383809381846378/10492261896496361312415658103*c\ _1001_1^25 - 4963170889532650752976733265/1049226189649636131241565\ 8103*c_1001_1^23 + 61500715978878622373136676628/104922618964963613\ 12415658103*c_1001_1^21 - 53192699550197492360353809352/10492261896\ 496361312415658103*c_1001_1^19 - 119480662818875182743814049232/104\ 92261896496361312415658103*c_1001_1^17 + 222813767262118150564992750712/10492261896496361312415658103*c_1001\ _1^15 + 524635197569302236182239407061/1049226189649636131241565810\ 3*c_1001_1^13 - 2352127631971553522152177221814/1049226189649636131\ 2415658103*c_1001_1^11 + 3215174996461461023161636080853/1049226189\ 6496361312415658103*c_1001_1^9 - 2281744509726522192743964740562/10\ 492261896496361312415658103*c_1001_1^7 + 1084100278110871929411293205641/10492261896496361312415658103*c_100\ 1_1^5 - 378203203447347797901217544689/1049226189649636131241565810\ 3*c_1001_1^3 + 72223445979815045701971553937/1049226189649636131241\ 5658103*c_1001_1, c_0101_2 + 11552043543008796192743201007/10492261896496361312415658103*\ c_1001_1^25 - 43951742732775184718562164460/10492261896496361312415\ 658103*c_1001_1^23 + 563705723170732924911542273756/104922618964963\ 61312415658103*c_1001_1^21 - 385714482129631653686581473990/1049226\ 1896496361312415658103*c_1001_1^19 - 1190522118750868376292901358813/10492261896496361312415658103*c_100\ 1_1^17 + 1845147216774583367499357565128/10492261896496361312415658\ 103*c_1001_1^15 + 5254529107317949210419034537646/10492261896496361\ 312415658103*c_1001_1^13 - 20865352627951295353426575897671/1049226\ 1896496361312415658103*c_1001_1^11 + 25856725602565171185892682667011/10492261896496361312415658103*c_10\ 01_1^9 - 16076810526730059450800328277526/1049226189649636131241565\ 8103*c_1001_1^7 + 6906845840538089197941867844117/10492261896496361\ 312415658103*c_1001_1^5 - 2040053122535401083398228877866/104922618\ 96496361312415658103*c_1001_1^3 + 175287547539989295292674951666/10\ 492261896496361312415658103*c_1001_1, c_1001_1^26 - 11/3*c_1001_1^24 + 436/9*c_1001_1^22 - 244/9*c_1001_1^20 - 898/9*c_1001_1^18 + 1340/9*c_1001_1^16 + 4168/9*c_1001_1^14 - 15587/9*c_1001_1^12 + 18727/9*c_1001_1^10 - 11588/9*c_1001_1^8 + 4994/9*c_1001_1^6 - 1465/9*c_1001_1^4 + 143/9*c_1001_1^2 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB