Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 4122241222] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2687 geometric_solution 5.94641687 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.360396969737 0.596963659469 0 5 6 5 0132 0132 0132 3012 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 0 -0.266001718366 1.130936691146 6 0 3 6 0213 0132 3012 2031 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 0.281192215529 1.686488890951 4 2 5 0 0321 1230 0132 0132 0 0 0 0 0 0 -1 1 -1 0 0 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 -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 0.835582520770 0.779878105303 3 4 0 4 0321 1302 0132 2031 0 0 0 0 0 -1 -1 2 0 0 -1 1 1 -2 0 1 1 -1 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 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555521251453 0.281962175158 6 1 1 3 2031 0132 1230 0132 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 0 0 0 0 0 1.197071196915 0.837870705230 2 2 5 1 0213 1302 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730952131802 2.005981775939 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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_5'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_1001_1']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_6, c_0101_1, c_0101_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 2897616264189343/5211901675341240*c_0101_5^16 + 1772212659869513/1302975418835310*c_0101_5^15 - 2722701289200881/1737300558447080*c_0101_5^14 + 12564442276857503/5211901675341240*c_0101_5^13 + 4173963485439569/1737300558447080*c_0101_5^12 - 8173471767655319/2605950837670620*c_0101_5^11 + 1400459532393941/59906915808520*c_0101_5^10 - 123307946287675277/5211901675341240*c_0101_5^9 + 132718743563024543/5211901675341240*c_0101_5^8 - 121105135805239747/2605950837670620*c_0101_5^7 + 68927772046017827/5211901675341240*c_0101_5^6 - 10423082710610393/217162569805885*c_0101_5^5 + 19371827502296117/5211901675341240*c_0101_5^4 - 235035470754324577/5211901675341240*c_0101_5^3 + 15325927674261583/2605950837670620*c_0101_5^2 - 1096444911619928/651487709417655*c_0101_5 + 23765006488371109/5211901675341240, c_0011_0 - 1, c_0011_3 + 329469033393/680760406915*c_0101_5^16 - 90094378554/136152081383*c_0101_5^15 + 461382945234/680760406915*c_0101_5^14 - 773376341104/680760406915*c_0101_5^13 - 2425029373576/680760406915*c_0101_5^12 - 657276965023/680760406915*c_0101_5^11 - 15012251051897/680760406915*c_0101_5^10 - 3721201413036/680760406915*c_0101_5^9 - 20701544656721/680760406915*c_0101_5^8 - 3204370727779/680760406915*c_0101_5^7 - 17002688088057/680760406915*c_0101_5^6 - 833220385476/680760406915*c_0101_5^5 - 1759547991821/136152081383*c_0101_5^4 + 8388058575383/680760406915*c_0101_5^3 + 2083893347184/680760406915*c_0101_5^2 - 111318243021/136152081383*c_0101_5 - 613466691726/680760406915, c_0011_4 - 23106664699/680760406915*c_0101_5^16 + 49044323216/680760406915*c_0101_5^15 - 42893716169/680760406915*c_0101_5^14 + 50236294634/680760406915*c_0101_5^13 + 164682140151/680760406915*c_0101_5^12 - 131858386909/680760406915*c_0101_5^11 + 942876212081/680760406915*c_0101_5^10 - 490983903091/680760406915*c_0101_5^9 + 650036225639/680760406915*c_0101_5^8 - 597501857512/680760406915*c_0101_5^7 + 271377288371/680760406915*c_0101_5^6 - 300257299251/680760406915*c_0101_5^5 + 11054159666/680760406915*c_0101_5^4 - 145518695716/680760406915*c_0101_5^3 + 32534223833/680760406915*c_0101_5^2 + 1221087636118/680760406915*c_0101_5 - 5412649903/680760406915, c_0011_6 + 49039617476/136152081383*c_0101_5^16 - 250696489941/680760406915*c_0101_5^15 + 256327517117/680760406915*c_0101_5^14 - 502745022887/680760406915*c_0101_5^13 - 1951561609603/680760406915*c_0101_5^12 - 1187307151447/680760406915*c_0101_5^11 - 2306570525555/136152081383*c_0101_5^10 - 6620228290191/680760406915*c_0101_5^9 - 17704594199771/680760406915*c_0101_5^8 - 7751030429726/680760406915*c_0101_5^7 - 3079504083838/136152081383*c_0101_5^6 - 5333661540096/680760406915*c_0101_5^5 - 8518193324126/680760406915*c_0101_5^4 + 3389813764827/680760406915*c_0101_5^3 + 529279945780/136152081383*c_0101_5^2 + 759268299117/680760406915*c_0101_5 - 723763641429/680760406915, c_0101_1 + 5412649903/680760406915*c_0101_5^16 + 17694014796/680760406915*c_0101_5^15 - 43631673313/680760406915*c_0101_5^14 + 32068416363/680760406915*c_0101_5^13 - 93537493858/680760406915*c_0101_5^12 - 191745389666/680760406915*c_0101_5^11 - 122536158532/680760406915*c_0101_5^10 - 218886081873/136152081383*c_0101_5^9 + 20254622015/136152081383*c_0101_5^8 - 828653672438/680760406915*c_0101_5^7 + 256504913623/680760406915*c_0101_5^6 - 79173647228/136152081383*c_0101_5^5 + 110814552646/680760406915*c_0101_5^4 + 64722938976/680760406915*c_0101_5^3 + 205057844649/680760406915*c_0101_5^2 - 21708924027/680760406915*c_0101_5 - 556565178912/680760406915, c_0101_5^17 - c_0101_5^16 + c_0101_5^15 - 2*c_0101_5^14 - 8*c_0101_5^13 - 5*c_0101_5^12 - 47*c_0101_5^11 - 28*c_0101_5^10 - 72*c_0101_5^9 - 33*c_0101_5^8 - 63*c_0101_5^7 - 23*c_0101_5^6 - 35*c_0101_5^5 + 14*c_0101_5^4 + 11*c_0101_5^3 + 2*c_0101_5^2 - 3*c_0101_5 - 1, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB