Magma V2.19-8 Tue Aug 20 2013 16:14:46 on localhost [Seed = 4299878] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s760 geometric_solution 5.30126512 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.630668341330 0.493592360372 0 2 3 0 3201 0132 0132 0132 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 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 0.766799437604 0.564373882909 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 1 0 -1 0 0 1 -1 -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 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 0.502708855213 0.566908133220 2 5 4 1 2031 1023 0132 0132 0 0 0 0 0 1 0 -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 1 0 -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 0.502708855213 0.566908133220 2 4 4 3 0132 1230 3012 0132 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567369399572 0.935573593190 3 5 2 5 1023 2310 0132 3201 0 0 0 0 0 0 1 -1 -1 0 1 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 -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 0.591135902608 0.837888589166 ==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' : 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_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], '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_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_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_3, c_0101_0, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 1309187067239999904485819727/14358031012704028334696375*c_0110_5^20 + 1638132094772344693181218304/2871606202540805666939275*c_0110_5^1\ 9 + 3091381055271785329373913328/14358031012704028334696375*c_0110_\ 5^18 - 5076943282144323448732205599/1104463924054156025745875*c_011\ 0_5^17 + 20726398183559556717019168676/2871606202540805666939275*c_\ 0110_5^16 + 104914361665612724153293766759/143580310127040283346963\ 75*c_0110_5^15 - 44542203792538708406745432816/14358031012704028334\ 696375*c_0110_5^14 - 2320177643374510752772546367/57432124050816113\ 3387855*c_0110_5^13 + 121125480883644063619303642008/14358031012704\ 028334696375*c_0110_5^12 - 3646171827804589308883046088/41022945750\ 5829380991325*c_0110_5^11 - 377863228756543674779090086889/14358031\ 012704028334696375*c_0110_5^10 + 339369832344282930056669647028/143\ 58031012704028334696375*c_0110_5^9 + 54708013010524065307994915212/2871606202540805666939275*c_0110_5^8 - 225489285016256774733924835503/14358031012704028334696375*c_0110_5^\ 7 - 6803615342398756387926925452/1104463924054156025745875*c_0110_5\ ^6 + 102957005043929194854707649476/14358031012704028334696375*c_01\ 10_5^5 - 40817951320169091496790417947/14358031012704028334696375*c\ _0110_5^4 - 6576124888876400823255883886/2871606202540805666939275*\ c_0110_5^3 + 3328249219117336359510807748/1104463924054156025745875\ *c_0110_5^2 - 406840922089693934254722916/2871606202540805666939275\ *c_0110_5 - 4486461860693698712015074838/14358031012704028334696375\ , c_0011_0 - 1, c_0011_1 - 11989983569965360386458/6311222423166605861405*c_0110_5^20 + 15139405702748884010888/1262244484633321172281*c_0110_5^19 + 24037068673776140435952/6311222423166605861405*c_0110_5^18 - 606177658813418401534168/6311222423166605861405*c_0110_5^17 + 196783208789304413147677/1262244484633321172281*c_0110_5^16 + 907774495870165270713101/6311222423166605861405*c_0110_5^15 - 465673314654293271860024/6311222423166605861405*c_0110_5^14 - 101623907390298053480060/1262244484633321172281*c_0110_5^13 + 1148127186279257904753332/6311222423166605861405*c_0110_5^12 - 242807189614975990528725/1262244484633321172281*c_0110_5^11 - 3386093089095460381043226/6311222423166605861405*c_0110_5^10 + 3314030554083233671142367/6311222423166605861405*c_0110_5^9 + 466569022659327510669648/1262244484633321172281*c_0110_5^8 - 2227935388981180486496977/6311222423166605861405*c_0110_5^7 - 721709576128459359398294/6311222423166605861405*c_0110_5^6 + 989849827921209021296624/6311222423166605861405*c_0110_5^5 - 399550196619235059133603/6311222423166605861405*c_0110_5^4 - 56351916279312734072397/1262244484633321172281*c_0110_5^3 + 405622045160868444775906/6311222423166605861405*c_0110_5^2 - 7876477644896893638793/1262244484633321172281*c_0110_5 - 40189603190127167367417/6311222423166605861405, c_0011_3 + 800204943670854795302381/1104463924054156025745875*c_0110_5^\ 20 - 976080861138137300735212/220892784810831205149175*c_0110_5^19 - 2584972355572583198830409/1104463924054156025745875*c_0110_5^18 + 39490383501284097084851186/1104463924054156025745875*c_0110_5^17 - 11471025130943989109325353/220892784810831205149175*c_0110_5^16 - 69557416189470175581834552/1104463924054156025745875*c_0110_5^15 + 11027722300571947995929173/1104463924054156025745875*c_0110_5^14 + 1237321716146421203438636/44178556962166241029835*c_0110_5^13 - 67942861694802040424487574/1104463924054156025745875*c_0110_5^12 + 2006878558233656361083214/31556112115833029307025*c_0110_5^11 + 236137016943170164360468317/1104463924054156025745875*c_0110_5^10 - 162554053608010948436821759/1104463924054156025745875*c_0110_5^9 - 34110200621175894746311561/220892784810831205149175*c_0110_5^8 + 96949077232267126845683184/1104463924054156025745875*c_0110_5^7 + 54571463782078656388164478/1104463924054156025745875*c_0110_5^6 - 44837854661189107822182903/1104463924054156025745875*c_0110_5^5 + 21033110226545860790112666/1104463924054156025745875*c_0110_5^4 + 3642783237934847268741783/220892784810831205149175*c_0110_5^3 - 21125573508412827857828822/1104463924054156025745875*c_0110_5^2 - 48997051847495694437227/220892784810831205149175*c_0110_5 + 1268377975619047975221439/1104463924054156025745875, c_0101_0 + 87171343516831258788662/6311222423166605861405*c_0110_5^20 - 109590097256753361335998/1262244484633321172281*c_0110_5^19 - 191860265407019585597143/6311222423166605861405*c_0110_5^18 + 4412597752172351623447072/6311222423166605861405*c_0110_5^17 - 1403257285487572198567378/1262244484633321172281*c_0110_5^16 - 6879309862992245606040509/6311222423166605861405*c_0110_5^15 + 3269863425101203050414596/6311222423166605861405*c_0110_5^14 + 803474484491737710911898/1262244484633321172281*c_0110_5^13 - 8058882268349930503841248/6311222423166605861405*c_0110_5^12 + 1746950699873438652419218/1262244484633321172281*c_0110_5^11 + 25110525059378486323522439/6311222423166605861405*c_0110_5^10 - 23397517860907752270040243/6311222423166605861405*c_0110_5^9 - 3640411683347016574785862/1262244484633321172281*c_0110_5^8 + 15600045239327171460194578/6311222423166605861405*c_0110_5^7 + 5916049281203976838890861/6311222423166605861405*c_0110_5^6 - 7020708840464627393384396/6311222423166605861405*c_0110_5^5 + 2777589804587926241017762/6311222423166605861405*c_0110_5^4 + 432975783495372514208998/1262244484633321172281*c_0110_5^3 - 2963073545400531301255654/6311222423166605861405*c_0110_5^2 + 30081956437686057579416/1262244484633321172281*c_0110_5 + 303102024308252831019993/6311222423166605861405, c_0101_4 - 1544314171065400930659242/1104463924054156025745875*c_0110_5\ ^20 + 2004680980061136791140984/220892784810831205149175*c_0110_5^1\ 9 + 1557393046225716270927163/1104463924054156025745875*c_0110_5^18 - 79678024138612054642125377/1104463924054156025745875*c_0110_5^17 + 27880896323576375479303321/220892784810831205149175*c_0110_5^16 + 103215007456950714912909514/1104463924054156025745875*c_0110_5^15 - 89789746327885968979860186/1104463924054156025745875*c_0110_5^14 - 3039822520714045623449922/44178556962166241029835*c_0110_5^13 + 151928665950881388604937568/1104463924054156025745875*c_0110_5^12 - 5159705928885086962579073/31556112115833029307025*c_0110_5^11 - 423056643757640225426785619/1104463924054156025745875*c_0110_5^10 + 513212069439314758876041363/1104463924054156025745875*c_0110_5^9 + 57101649515996035191261352/220892784810831205149175*c_0110_5^8 - 349135474000287720537198963/1104463924054156025745875*c_0110_5^7 - 85626085403759606082663571/1104463924054156025745875*c_0110_5^6 + 145672551047142475281365171/1104463924054156025745875*c_0110_5^5 - 64582555179412623232062612/1104463924054156025745875*c_0110_5^4 - 6147042680967948417255056/220892784810831205149175*c_0110_5^3 + 63037169165098425115716529/1104463924054156025745875*c_0110_5^2 - 1715248322466363180210111/220892784810831205149175*c_0110_5 - 6874992733670702736427748/1104463924054156025745875, c_0110_5^21 - 6*c_0110_5^20 - 4*c_0110_5^19 + 50*c_0110_5^18 - 66*c_0110_5^17 - 102*c_0110_5^16 + 15*c_0110_5^15 + 57*c_0110_5^14 - 79*c_0110_5^13 + 74*c_0110_5^12 + 317*c_0110_5^11 - 186*c_0110_5^10 - 286*c_0110_5^9 + 119*c_0110_5^8 + 119*c_0110_5^7 - 61*c_0110_5^6 + 9*c_0110_5^5 + 34*c_0110_5^4 - 27*c_0110_5^3 - 8*c_0110_5^2 + 4*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB