Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 4021187292] 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' : 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_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: 16 Groebner basis: [ t + 24517455126540100651/5370451349714097367*c_0101_5^15 + 2138136199233025588/16111354049142292101*c_0101_5^14 - 1245115393549184184451/16111354049142292101*c_0101_5^13 - 2611846456872506384192/16111354049142292101*c_0101_5^12 - 383427393932307171086/16111354049142292101*c_0101_5^11 + 122076893413285238041/16111354049142292101*c_0101_5^10 - 11395284910270198885042/16111354049142292101*c_0101_5^9 - 397152664892977228244/2301622007020327443*c_0101_5^8 + 12330556175113766474323/5370451349714097367*c_0101_5^7 + 32562888647508533429461/16111354049142292101*c_0101_5^6 - 6527584036198999716902/16111354049142292101*c_0101_5^5 - 12247084929738044405630/16111354049142292101*c_0101_5^4 - 9494678220435646423862/16111354049142292101*c_0101_5^3 - 5674588121531322874502/16111354049142292101*c_0101_5^2 - 450428251830464427895/5370451349714097367*c_0101_5 - 341714542677730241504/16111354049142292101, c_0011_0 - 1, c_0011_3 - 650601430452403840/6904866021060982329*c_0101_5^15 + 645065948744277059/6904866021060982329*c_0101_5^14 + 11035176846679811875/6904866021060982329*c_0101_5^13 + 1307881165976004831/767207335673442481*c_0101_5^12 - 6739677556444807613/2301622007020327443*c_0101_5^11 - 3051139530542228200/6904866021060982329*c_0101_5^10 + 105018315746932235821/6904866021060982329*c_0101_5^9 - 78389307881971564952/6904866021060982329*c_0101_5^8 - 353620833782952025195/6904866021060982329*c_0101_5^7 + 6645292235935003760/767207335673442481*c_0101_5^6 + 39440438981613619504/767207335673442481*c_0101_5^5 - 148139705648479504/2301622007020327443*c_0101_5^4 - 22735515898736625382/2301622007020327443*c_0101_5^3 - 13630189718026685114/6904866021060982329*c_0101_5^2 - 16480995254623777159/6904866021060982329*c_0101_5 - 1364328948321334337/6904866021060982329, c_0011_4 + 265782316744658522/6904866021060982329*c_0101_5^15 - 114267652863746038/6904866021060982329*c_0101_5^14 - 4503928412635287539/6904866021060982329*c_0101_5^13 - 2454623594077278298/2301622007020327443*c_0101_5^12 + 326951160224870813/767207335673442481*c_0101_5^11 + 1004007774006416672/6904866021060982329*c_0101_5^10 - 41321376106276044578/6904866021060982329*c_0101_5^9 + 9068670577184651740/6904866021060982329*c_0101_5^8 + 137574195582914780450/6904866021060982329*c_0101_5^7 + 18225014286162445076/2301622007020327443*c_0101_5^6 - 25105545754118512897/2301622007020327443*c_0101_5^5 - 11188914276297097595/2301622007020327443*c_0101_5^4 - 6886364862909262199/2301622007020327443*c_0101_5^3 - 3973870645467289025/6904866021060982329*c_0101_5^2 + 13317996396404180738/6904866021060982329*c_0101_5 + 359323710929929312/6904866021060982329, c_0011_6 + 96886413876261307/767207335673442481*c_0101_5^15 + 111425413306291969/2301622007020327443*c_0101_5^14 - 5041134027736673137/2301622007020327443*c_0101_5^13 - 12035661519536433755/2301622007020327443*c_0101_5^12 - 3067290202357025111/2301622007020327443*c_0101_5^11 + 3789546926939995465/2301622007020327443*c_0101_5^10 - 45511915329075530287/2301622007020327443*c_0101_5^9 - 27582789560265990953/2301622007020327443*c_0101_5^8 + 53843144523977858578/767207335673442481*c_0101_5^7 + 180078012821328324796/2301622007020327443*c_0101_5^6 - 45291007421725890902/2301622007020327443*c_0101_5^5 - 96572083085198270906/2301622007020327443*c_0101_5^4 - 25095578779190598701/2301622007020327443*c_0101_5^3 - 15554743303525752482/2301622007020327443*c_0101_5^2 - 1695012181698372077/767207335673442481*c_0101_5 + 192470471445416779/2301622007020327443, c_0101_1 - 359323710929929312/6904866021060982329*c_0101_5^15 + 265782316744658522/6904866021060982329*c_0101_5^14 + 5994235432945052266/6904866021060982329*c_0101_5^13 + 2690800489970746127/2301622007020327443*c_0101_5^12 - 698433294382449662/767207335673442481*c_0101_5^11 + 1505265598304120069/6904866021060982329*c_0101_5^10 + 56699182968145460032/6904866021060982329*c_0101_5^9 - 29463693645588377282/6904866021060982329*c_0101_5^8 - 175983040551728943940/6904866021060982329*c_0101_5^7 - 5405450898364988362/2301622007020327443*c_0101_5^6 + 34394581278009264116/2301622007020327443*c_0101_5^5 - 2827475676462895553/2301622007020327443*c_0101_5^4 + 2824710449970145573/2301622007020327443*c_0101_5^3 + 3415594043577477307/6904866021060982329*c_0101_5^2 - 380633536167995905/6904866021060982329*c_0101_5 + 7131777797203057033/6904866021060982329, c_0101_5^16 - 17*c_0101_5^14 - 35*c_0101_5^13 - 3*c_0101_5^12 + 4*c_0101_5^11 - 155*c_0101_5^10 - 33*c_0101_5^9 + 515*c_0101_5^8 + 428*c_0101_5^7 - 135*c_0101_5^6 - 186*c_0101_5^5 - 117*c_0101_5^4 - 67*c_0101_5^3 - 10*c_0101_5^2 - 2*c_0101_5 + 1, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB