Magma V2.19-8 Tue Aug 20 2013 16:16:26 on localhost [Seed = 1225315750] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0709 geometric_solution 4.66328880 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 0 0 -1 1 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 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394583066561 0.382658364383 0 1 0 1 0132 2310 2310 3201 0 0 0 0 0 -1 0 1 0 0 0 0 -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 0 -1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.250069750728 0.506597291926 4 3 3 0 0132 3012 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.707564618806 0.806614255373 2 4 0 2 1230 2310 0132 1302 0 0 0 0 0 0 -1 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 0 -1 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 0.707564618806 0.806614255373 2 5 5 3 0132 0132 3201 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 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 0.406017757911 0.605984378853 4 4 6 6 2310 0132 2310 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 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.258655863064 1.190317506531 6 5 5 6 3201 3201 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 1 0 -1 1 0 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.607529596322 0.150288438638 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_2'], 'c_0011_4' : negation(d['c_0011_2']), '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), '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_2, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 16597483694547397277447/4318532943219837504576*c_0101_5^15 + 145809848116944027476641/4318532943219837504576*c_0101_5^14 + 73152184598822452275151/1079633235804959376144*c_0101_5^13 + 674821719526858605838927/4318532943219837504576*c_0101_5^12 + 428274523215401176243169/2159266471609918752288*c_0101_5^11 - 1100060451433992354217169/1439510981073279168192*c_0101_5^10 - 179304752755217851098657/119959248422773264016*c_0101_5^9 + 3915550338878537964199691/4318532943219837504576*c_0101_5^8 + 1941317681914989925297573/719755490536639584096*c_0101_5^7 - 168731249986261521214505/4318532943219837504576*c_0101_5^6 - 2959556774351827685060137/1439510981073279168192*c_0101_5^5 - 450505896071006705777665/539816617902479688072*c_0101_5^4 + 542578983839724929702009/1079633235804959376144*c_0101_5^3 + 145919976722917989333453/239918496845546528032*c_0101_5^2 + 80911717965946446478001/1439510981073279168192*c_0101_5 - 336333787778115868632091/4318532943219837504576, c_0011_0 - 1, c_0011_2 + 654292527976117811/7497453026423329001*c_0101_5^15 + 5233680682396268247/7497453026423329001*c_0101_5^14 + 7310378066706559790/7497453026423329001*c_0101_5^13 + 19936970383295735853/7497453026423329001*c_0101_5^12 + 16629789197145469016/7497453026423329001*c_0101_5^11 - 146434257477734172790/7497453026423329001*c_0101_5^10 - 141479440375108131474/7497453026423329001*c_0101_5^9 + 294277088406356481948/7497453026423329001*c_0101_5^8 + 270088004982304210048/7497453026423329001*c_0101_5^7 - 253967919558604121949/7497453026423329001*c_0101_5^6 - 223206665844935970129/7497453026423329001*c_0101_5^5 + 42063154595326460937/7497453026423329001*c_0101_5^4 + 96574018678272607274/7497453026423329001*c_0101_5^3 + 47915378551666923164/7497453026423329001*c_0101_5^2 - 28586826150513823731/7497453026423329001*c_0101_5 - 3901449266613624913/7497453026423329001, c_0011_6 + 641624193415310064/7497453026423329001*c_0101_5^15 + 5449073514714022287/7497453026423329001*c_0101_5^14 + 9845151747143721437/7497453026423329001*c_0101_5^13 + 24518540446518390279/7497453026423329001*c_0101_5^12 + 29928262116219308367/7497453026423329001*c_0101_5^11 - 127112332660924567290/7497453026423329001*c_0101_5^10 - 194608378395445622526/7497453026423329001*c_0101_5^9 + 200114735281428365237/7497453026423329001*c_0101_5^8 + 320662499660823513762/7497453026423329001*c_0101_5^7 - 131878125723789745146/7497453026423329001*c_0101_5^6 - 227548766511215712204/7497453026423329001*c_0101_5^5 - 19213081826673042557/7497453026423329001*c_0101_5^4 + 69210719537808394293/7497453026423329001*c_0101_5^3 + 55294326986145077398/7497453026423329001*c_0101_5^2 - 20781189103429234673/7497453026423329001*c_0101_5 - 4122385829061122842/7497453026423329001, c_0101_0 - 101378529266659854/7497453026423329001*c_0101_5^15 - 542416192962309050/7497453026423329001*c_0101_5^14 + 1219703700562669555/7497453026423329001*c_0101_5^13 + 1750384522525122515/7497453026423329001*c_0101_5^12 + 9675988719116371479/7497453026423329001*c_0101_5^11 + 39491580708371622376/7497453026423329001*c_0101_5^10 - 23357872930849703681/7497453026423329001*c_0101_5^9 - 135747375926146809701/7497453026423329001*c_0101_5^8 + 2618452621449134819/7497453026423329001*c_0101_5^7 + 175433033692383460118/7497453026423329001*c_0101_5^6 + 44807765309920721117/7497453026423329001*c_0101_5^5 - 86646079940552189120/7497453026423329001*c_0101_5^4 - 66968758037881834965/7497453026423329001*c_0101_5^3 + 2776994358021942228/7497453026423329001*c_0101_5^2 + 29209218693869640014/7497453026423329001*c_0101_5 + 1647968004635562785/7497453026423329001, c_0101_1 + 51853967544828189/7497453026423329001*c_0101_5^15 + 601331574991451979/7497453026423329001*c_0101_5^14 + 2162986235977994380/7497453026423329001*c_0101_5^13 + 4373202028869410750/7497453026423329001*c_0101_5^12 + 7769835792905004049/7497453026423329001*c_0101_5^11 - 5069536801133460173/7497453026423329001*c_0101_5^10 - 53443069717973801539/7497453026423329001*c_0101_5^9 - 43575636898669274055/7497453026423329001*c_0101_5^8 + 80272918463119798426/7497453026423329001*c_0101_5^7 + 105184367651398120354/7497453026423329001*c_0101_5^6 - 33132987984982579652/7497453026423329001*c_0101_5^5 - 90958594053242804384/7497453026423329001*c_0101_5^4 - 31783765589870606401/7497453026423329001*c_0101_5^3 + 28519333376237946449/7497453026423329001*c_0101_5^2 + 23438159465436746517/7497453026423329001*c_0101_5 - 2481593337774101631/7497453026423329001, c_0101_2 + 387943638317102112/7497453026423329001*c_0101_5^15 + 3095984400448201861/7497453026423329001*c_0101_5^14 + 4166941332750743047/7497453026423329001*c_0101_5^13 + 10763912483482611346/7497453026423329001*c_0101_5^12 + 7510885555324932195/7497453026423329001*c_0101_5^11 - 92593107289132519242/7497453026423329001*c_0101_5^10 - 90522089156548604588/7497453026423329001*c_0101_5^9 + 190891338819416375945/7497453026423329001*c_0101_5^8 + 191969382994332998111/7497453026423329001*c_0101_5^7 - 167514276763639150863/7497453026423329001*c_0101_5^6 - 182550445551200354786/7497453026423329001*c_0101_5^5 + 32009101090908902883/7497453026423329001*c_0101_5^4 + 86161557635331284177/7497453026423329001*c_0101_5^3 + 27395903245526806787/7497453026423329001*c_0101_5^2 - 17922296975850446026/7497453026423329001*c_0101_5 - 3013303632046951532/7497453026423329001, c_0101_5^16 + 8*c_0101_5^15 + 11*c_0101_5^14 + 29*c_0101_5^13 + 23*c_0101_5^12 - 231*c_0101_5^11 - 225*c_0101_5^10 + 481*c_0101_5^9 + 447*c_0101_5^8 - 445*c_0101_5^7 - 396*c_0101_5^6 + 107*c_0101_5^5 + 196*c_0101_5^4 + 66*c_0101_5^3 - 69*c_0101_5^2 - 8*c_0101_5 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB