Magma V2.19-8 Tue Aug 20 2013 16:18:15 on localhost [Seed = 1410713967] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2471 geometric_solution 5.80677405 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 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 -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 0.805331674833 0.975254734183 0 1 0 1 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500778468931 0.178808186141 4 0 5 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 -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 1 -1 0 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 1.528585449231 0.941548364617 5 4 0 4 1023 0321 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 -0.188875104644 1.066160223190 2 3 6 3 0132 2310 0132 0321 0 0 0 0 0 0 0 0 1 0 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221877263192 0.560813953395 2 3 2 6 2031 1023 0132 3012 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 1 0 -1 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 0.266591416485 0.567564020207 6 6 5 4 1230 3012 1230 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464310452790 1.168034021732 ==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' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0110_5'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), '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_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_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0110_5']})} 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_6, c_0101_0, c_0101_1, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 931775032556257765762/581711375225176290549*c_0110_5^12 - 6477843363992828815346/581711375225176290549*c_0110_5^11 + 5150831173112298817225/193903791741725430183*c_0110_5^10 + 43268780685552830726180/581711375225176290549*c_0110_5^9 - 360318670985507363194186/581711375225176290549*c_0110_5^8 + 507294157575516466267442/581711375225176290549*c_0110_5^7 + 95020117527654627713911/581711375225176290549*c_0110_5^6 - 749653067815718262075283/581711375225176290549*c_0110_5^5 + 57878296795088811166610/83101625032168041507*c_0110_5^4 + 19214158683161365010905/44747028863475099273*c_0110_5^3 - 127333203578108626243997/193903791741725430183*c_0110_5^2 + 2499634868982950901763/64634597247241810061*c_0110_5 + 162520494106835677538585/581711375225176290549, c_0011_0 - 1, c_0011_3 + 3206631546347828/277931856294876393*c_0110_5^12 - 21232688891128913/277931856294876393*c_0110_5^11 + 5210460000017507/30881317366097377*c_0110_5^10 + 161198409757541188/277931856294876393*c_0110_5^9 - 1186425792224075863/277931856294876393*c_0110_5^8 + 1411039025691232273/277931856294876393*c_0110_5^7 + 68084112019761436/30881317366097377*c_0110_5^6 - 2636541974985183301/277931856294876393*c_0110_5^5 + 1169989355118975379/277931856294876393*c_0110_5^4 + 404365783890409477/92643952098292131*c_0110_5^3 - 1523258499928274663/277931856294876393*c_0110_5^2 - 137910004531811425/277931856294876393*c_0110_5 + 566167350321988733/277931856294876393, c_0011_6 - 5806359520798406/92643952098292131*c_0110_5^12 + 39640751409005282/92643952098292131*c_0110_5^11 - 30415174045434936/30881317366097377*c_0110_5^10 - 281995409438379191/92643952098292131*c_0110_5^9 + 2213938578941602252/92643952098292131*c_0110_5^8 - 962045101257392942/30881317366097377*c_0110_5^7 - 1002402307867046822/92643952098292131*c_0110_5^6 + 1575825245337772870/30881317366097377*c_0110_5^5 - 2130239356878544927/92643952098292131*c_0110_5^4 - 1916248650160563943/92643952098292131*c_0110_5^3 + 2485518047174912243/92643952098292131*c_0110_5^2 - 7876444127046398/30881317366097377*c_0110_5 - 1080583520428657468/92643952098292131, c_0101_0 - 233171894337617/277931856294876393*c_0110_5^12 + 1489646482023220/277931856294876393*c_0110_5^11 - 289034466295339/30881317366097377*c_0110_5^10 - 15034969690909351/277931856294876393*c_0110_5^9 + 87337691090974166/277931856294876393*c_0110_5^8 - 54867435474832285/277931856294876393*c_0110_5^7 - 208329548526821258/277931856294876393*c_0110_5^6 + 221697901945790894/277931856294876393*c_0110_5^5 + 162238160473514933/277931856294876393*c_0110_5^4 - 291446225418588653/277931856294876393*c_0110_5^3 - 13734622934990266/30881317366097377*c_0110_5^2 + 102204097377898226/92643952098292131*c_0110_5 + 85779247797715574/277931856294876393, c_0101_1 - 356637235298572/277931856294876393*c_0110_5^12 + 2374193904488099/277931856294876393*c_0110_5^11 - 1536003624682609/92643952098292131*c_0110_5^10 - 21606870788504231/277931856294876393*c_0110_5^9 + 138281615610841279/277931856294876393*c_0110_5^8 - 118233273364063346/277931856294876393*c_0110_5^7 - 278904677066837605/277931856294876393*c_0110_5^6 + 352191322560297307/277931856294876393*c_0110_5^5 + 205023368839575451/277931856294876393*c_0110_5^4 - 483970239180934216/277931856294876393*c_0110_5^3 - 26753573268190954/92643952098292131*c_0110_5^2 + 29507826344253726/30881317366097377*c_0110_5 - 151865417237700242/277931856294876393, c_0101_6 + 14982702173921800/277931856294876393*c_0110_5^12 - 34679324592291428/92643952098292131*c_0110_5^11 + 82422733290991342/92643952098292131*c_0110_5^10 + 700117215345810581/277931856294876393*c_0110_5^9 - 1931520348135300907/92643952098292131*c_0110_5^8 + 8099812136840163254/277931856294876393*c_0110_5^7 + 1710684389542915790/277931856294876393*c_0110_5^6 - 4090851308216016943/92643952098292131*c_0110_5^5 + 6754569972646653056/277931856294876393*c_0110_5^4 + 4051910554142933651/277931856294876393*c_0110_5^3 - 6448540053507234869/277931856294876393*c_0110_5^2 + 540989691745447148/277931856294876393*c_0110_5 + 294789990455813326/30881317366097377, c_0110_5^13 - 6*c_0110_5^12 + 10*c_0110_5^11 + 62*c_0110_5^10 - 342*c_0110_5^9 + 178*c_0110_5^8 + 608*c_0110_5^7 - 694*c_0110_5^6 - 329*c_0110_5^5 + 668*c_0110_5^4 - 150*c_0110_5^3 - 365*c_0110_5^2 + 193*c_0110_5 + 161 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB