Magma V2.19-8 Tue Aug 20 2013 16:17:23 on localhost [Seed = 3785391404] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1620 geometric_solution 5.37586245 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 1 -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 0 0 0 2.153685173309 0.592554985704 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 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 1 0 -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 0.010767115652 0.731239911379 4 1 5 3 0132 0132 0132 2031 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 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 0.333619016943 0.592556069684 5 2 4 1 1023 1302 2310 0132 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 -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 0.333619016943 0.592556069684 2 3 4 4 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.278543569044 1.281411926373 6 3 6 2 0132 1023 2310 0132 0 0 0 0 0 0 -1 1 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 1.038752066016 0.854842640009 5 5 6 6 0132 3201 2031 1302 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 0 0 0 0 0.523018595095 0.213389409685 ==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_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' : 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_0101_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 5587334695718248434/346090736367783079*c_0101_5^14 + 73926047749514319638/346090736367783079*c_0101_5^13 - 212218684961755854838/346090736367783079*c_0101_5^12 - 297183404897941362981/346090736367783079*c_0101_5^11 + 1116564706513743828023/346090736367783079*c_0101_5^10 + 684781436952587109162/346090736367783079*c_0101_5^9 - 849437146144465299534/346090736367783079*c_0101_5^8 - 1430776968127526143455/346090736367783079*c_0101_5^7 - 1136597405186290042552/346090736367783079*c_0101_5^6 + 576522853959072583081/346090736367783079*c_0101_5^5 - 24561072614262841398/346090736367783079*c_0101_5^4 + 167999889122461991795/346090736367783079*c_0101_5^3 + 142031794584069464921/346090736367783079*c_0101_5^2 + 35876700256000352013/346090736367783079*c_0101_5 + 13611687498671964050/346090736367783079, c_0011_0 - 1, c_0011_3 - 120442802724341956/346090736367783079*c_0101_5^14 + 1586916790945917212/346090736367783079*c_0101_5^13 - 4496905688844476172/346090736367783079*c_0101_5^12 - 6520452618705827303/346090736367783079*c_0101_5^11 + 23301023065559350823/346090736367783079*c_0101_5^10 + 15605207301002054256/346090736367783079*c_0101_5^9 - 15382712345480911537/346090736367783079*c_0101_5^8 - 30891011977724249003/346090736367783079*c_0101_5^7 - 27803728406858577874/346090736367783079*c_0101_5^6 + 8732506146652283629/346090736367783079*c_0101_5^5 - 1593483203888830774/346090736367783079*c_0101_5^4 + 4562866239583054455/346090736367783079*c_0101_5^3 + 2650815935110684798/346090736367783079*c_0101_5^2 + 1348944378717833126/346090736367783079*c_0101_5 + 597345760015699205/346090736367783079, c_0101_0 + 48921441120977300/346090736367783079*c_0101_5^14 - 663247528073953313/346090736367783079*c_0101_5^13 + 2089293963482396302/346090736367783079*c_0101_5^12 + 1727554081054143154/346090736367783079*c_0101_5^11 - 9805360131543319244/346090736367783079*c_0101_5^10 - 1933302681546636959/346090736367783079*c_0101_5^9 + 5157948197156697284/346090736367783079*c_0101_5^8 + 8640272145620028939/346090736367783079*c_0101_5^7 + 9507822410219026258/346090736367783079*c_0101_5^6 - 4029012789557968150/346090736367783079*c_0101_5^5 + 4734179560090208283/346090736367783079*c_0101_5^4 - 4292204286581624421/346090736367783079*c_0101_5^3 - 441106592067727288/346090736367783079*c_0101_5^2 - 615520596603176176/346090736367783079*c_0101_5 - 414902952908192962/346090736367783079, c_0101_1 + 27907029997389073/346090736367783079*c_0101_5^14 - 377903507981401032/346090736367783079*c_0101_5^13 + 1168036778828123800/346090736367783079*c_0101_5^12 + 1240634108518588553/346090736367783079*c_0101_5^11 - 6264402497512670904/346090736367783079*c_0101_5^10 - 2118701553441558857/346090736367783079*c_0101_5^9 + 6576321634198711889/346090736367783079*c_0101_5^8 + 7053268594784220828/346090736367783079*c_0101_5^7 + 2361919281668396153/346090736367783079*c_0101_5^6 - 6811054685268896384/346090736367783079*c_0101_5^5 - 269507108113030894/346090736367783079*c_0101_5^4 - 10119940881670443/346090736367783079*c_0101_5^3 - 305513470228641804/346090736367783079*c_0101_5^2 - 241516910694216067/346090736367783079*c_0101_5 + 100665753223169526/346090736367783079, c_0101_2 - 125431990950862513/346090736367783079*c_0101_5^14 + 1667852161600590418/346090736367783079*c_0101_5^13 - 4888025167605632999/346090736367783079*c_0101_5^12 - 6166342977689749651/346090736367783079*c_0101_5^11 + 24965889405799567718/346090736367783079*c_0101_5^10 + 12924605145477047811/346090736367783079*c_0101_5^9 - 17276387911350698253/346090736367783079*c_0101_5^8 - 28979224872738052811/346090736367783079*c_0101_5^7 - 25172816579240627107/346090736367783079*c_0101_5^6 + 10996725402015431906/346090736367783079*c_0101_5^5 - 4952693211859977907/346090736367783079*c_0101_5^4 + 4843824670839177727/346090736367783079*c_0101_5^3 + 2719111409588900635/346090736367783079*c_0101_5^2 + 1170773729701974439/346090736367783079*c_0101_5 + 579579219345723607/346090736367783079, c_0101_4 - 5988557326533094/346090736367783079*c_0101_5^14 + 75220059456183679/346090736367783079*c_0101_5^13 - 170118643369913606/346090736367783079*c_0101_5^12 - 530731246168978455/346090736367783079*c_0101_5^11 + 1195260147295008666/346090736367783079*c_0101_5^10 + 1603987592939396461/346090736367783079*c_0101_5^9 - 1416559214867333232/346090736367783079*c_0101_5^8 - 1944321673758516955/346090736367783079*c_0101_5^7 - 1315294802019294140/346090736367783079*c_0101_5^6 + 606126558975830977/346090736367783079*c_0101_5^5 + 433935602760638710/346090736367783079*c_0101_5^4 - 1042739350546051251/346090736367783079*c_0101_5^3 + 400784836014631286/346090736367783079*c_0101_5^2 - 471220081536273832/346090736367783079*c_0101_5 + 21337235486314150/346090736367783079, c_0101_5^15 - 13*c_0101_5^14 + 35*c_0101_5^13 + 61*c_0101_5^12 - 185*c_0101_5^11 - 164*c_0101_5^10 + 110*c_0101_5^9 + 278*c_0101_5^8 + 271*c_0101_5^7 - 34*c_0101_5^6 + 2*c_0101_5^5 - 32*c_0101_5^4 - 35*c_0101_5^3 - 16*c_0101_5^2 - 7*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB