Magma V2.19-8 Tue Aug 20 2013 16:16:35 on localhost [Seed = 2227509337] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0872 geometric_solution 4.77891552 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 0 1 -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 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 -1.129590668433 0.569746912404 0 0 3 2 0132 2310 0132 0132 0 0 0 0 0 -1 1 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371354024817 0.502429008897 3 4 1 3 1230 0132 0132 1302 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.752612978817 0.730542302009 4 2 2 1 2310 3012 2031 0132 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752612978817 0.730542302009 5 2 3 5 0132 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 -1 1 -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 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595147290885 0.635872697262 4 6 6 4 0132 0132 1023 1023 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 -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 1.430689517115 0.386715176901 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 -1 1 -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 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.607943523277 0.144804605005 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], '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' : negation(d['c_0011_2']), '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_6'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(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_0011_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 30765138368622032179/580955574159771975*c_0101_6^17 - 8392108357083600151/116191114831954395*c_0101_6^16 + 799109088076740937594/580955574159771975*c_0101_6^15 - 563318525190535046447/580955574159771975*c_0101_6^14 - 1138445152471255799492/193651858053257325*c_0101_6^13 + 1342484899757843794328/193651858053257325*c_0101_6^12 + 2189259240554071058353/580955574159771975*c_0101_6^11 - 232550305949187798059/23238222966390879*c_0101_6^10 + 913673994648152042888/193651858053257325*c_0101_6^9 + 835159178801240522249/116191114831954395*c_0101_6^8 + 1807705798735673216501/580955574159771975*c_0101_6^7 - 189772053227760489887/193651858053257325*c_0101_6^6 + 862146137182556690732/193651858053257325*c_0101_6^5 + 3258066401809403356264/580955574159771975*c_0101_6^4 - 659526444276983992289/193651858053257325*c_0101_6^3 - 466328073890188833382/580955574159771975*c_0101_6^2 + 507803690949266722108/580955574159771975*c_0101_6 - 244690071598140730777/580955574159771975, c_0011_0 - 1, c_0011_2 + 134148803766558347/64550619351085775*c_0101_6^17 + 6731176331158220/2582024774043431*c_0101_6^16 - 3476024224123943697/64550619351085775*c_0101_6^15 + 2865092270220625576/64550619351085775*c_0101_6^14 + 13881298350551754208/64550619351085775*c_0101_6^13 - 18361476022404754492/64550619351085775*c_0101_6^12 - 5006079700194448624/64550619351085775*c_0101_6^11 + 4359117211763353098/12910123870217155*c_0101_6^10 - 14121317860173280597/64550619351085775*c_0101_6^9 - 2571262181839136402/12910123870217155*c_0101_6^8 - 10133381926388259393/64550619351085775*c_0101_6^7 + 2264012476798839008/64550619351085775*c_0101_6^6 - 13693557495042665243/64550619351085775*c_0101_6^5 - 12056491469859694222/64550619351085775*c_0101_6^4 + 6682802134269137356/64550619351085775*c_0101_6^3 - 458656102835782669/64550619351085775*c_0101_6^2 - 991414776894068804/64550619351085775*c_0101_6 + 515874084641464421/64550619351085775, c_0101_0 - 48415841977347597/322753096755428875*c_0101_6^17 - 72433072986491553/322753096755428875*c_0101_6^16 + 1245137613140802609/322753096755428875*c_0101_6^15 - 725968316865470096/322753096755428875*c_0101_6^14 - 5400650242413854177/322753096755428875*c_0101_6^13 + 5569255012892445451/322753096755428875*c_0101_6^12 + 3967328667161135121/322753096755428875*c_0101_6^11 - 8354216483467129827/322753096755428875*c_0101_6^10 + 609444738665954642/64550619351085775*c_0101_6^9 + 6990319205356005886/322753096755428875*c_0101_6^8 + 4026709043308983579/322753096755428875*c_0101_6^7 - 93119958630489814/64550619351085775*c_0101_6^6 + 4438975013370324649/322753096755428875*c_0101_6^5 + 1188320453905806816/64550619351085775*c_0101_6^4 - 315956659252361507/64550619351085775*c_0101_6^3 - 943953991012310859/322753096755428875*c_0101_6^2 + 759817687855654497/322753096755428875*c_0101_6 - 34401302972523647/322753096755428875, c_0101_1 - 100624494716142494/322753096755428875*c_0101_6^17 - 128433118063065146/322753096755428875*c_0101_6^16 + 2602243819637277628/322753096755428875*c_0101_6^15 - 2097772569620464842/322753096755428875*c_0101_6^14 - 10402028668700391274/322753096755428875*c_0101_6^13 + 13570840615617812447/322753096755428875*c_0101_6^12 + 3740655252984615702/322753096755428875*c_0101_6^11 - 16229117261986984439/322753096755428875*c_0101_6^10 + 2141328365821114047/64550619351085775*c_0101_6^9 + 9593240143982042727/322753096755428875*c_0101_6^8 + 7874269817500257113/322753096755428875*c_0101_6^7 - 53247498791754274/12910123870217155*c_0101_6^6 + 10463895662028414428/322753096755428875*c_0101_6^5 + 388390139029612328/12910123870217155*c_0101_6^4 - 983840167009279008/64550619351085775*c_0101_6^3 + 350824710806359742/322753096755428875*c_0101_6^2 + 369293638351047084/322753096755428875*c_0101_6 - 475342500981972324/322753096755428875, c_0101_3 + 259924729663805756/322753096755428875*c_0101_6^17 + 309075206112486509/322753096755428875*c_0101_6^16 - 6767846636757204742/322753096755428875*c_0101_6^15 + 5982413323369028358/322753096755428875*c_0101_6^14 + 26839495655371230791/322753096755428875*c_0101_6^13 - 37712980262635528018/322753096755428875*c_0101_6^12 - 8504844044398840768/322753096755428875*c_0101_6^11 + 44954257248283878931/322753096755428875*c_0101_6^10 - 6012843353844502004/64550619351085775*c_0101_6^9 - 25166640214010630658/322753096755428875*c_0101_6^8 - 16656439029670370122/322753096755428875*c_0101_6^7 + 1296131062648946329/64550619351085775*c_0101_6^6 - 26159851690381490882/322753096755428875*c_0101_6^5 - 4534448149632446476/64550619351085775*c_0101_6^4 + 122287290380268944/2582024774043431*c_0101_6^3 - 1456822933963072103/322753096755428875*c_0101_6^2 - 2504462379554466346/322753096755428875*c_0101_6 + 1276149562515807436/322753096755428875, c_0101_5 + 509499754181032909/322753096755428875*c_0101_6^17 + 636017075723958521/322753096755428875*c_0101_6^16 - 13211524051776746943/322753096755428875*c_0101_6^15 + 10958015122915938087/322753096755428875*c_0101_6^14 + 52804153536456204934/322753096755428875*c_0101_6^13 - 70248177187736852137/322753096755428875*c_0101_6^12 - 19111787442582711432/322753096755428875*c_0101_6^11 + 83903842575616213614/322753096755428875*c_0101_6^10 - 434059349135090438/2582024774043431*c_0101_6^9 - 49360804824268238477/322753096755428875*c_0101_6^8 - 37318133464710586798/322753096755428875*c_0101_6^7 + 1807007514768124372/64550619351085775*c_0101_6^6 - 51864875092852772013/322753096755428875*c_0101_6^5 - 9139420732907763218/64550619351085775*c_0101_6^4 + 5209708238114537257/64550619351085775*c_0101_6^3 - 1892590848089054872/322753096755428875*c_0101_6^2 - 3990249887333269114/322753096755428875*c_0101_6 + 2084707979016610069/322753096755428875, c_0101_6^18 + 2*c_0101_6^17 - 25*c_0101_6^16 + 2*c_0101_6^15 + 120*c_0101_6^14 - 60*c_0101_6^13 - 142*c_0101_6^12 + 137*c_0101_6^11 + 18*c_0101_6^10 - 178*c_0101_6^9 - 146*c_0101_6^8 - 36*c_0101_6^7 - 87*c_0101_6^6 - 166*c_0101_6^5 - 15*c_0101_6^4 + 37*c_0101_6^3 - 10*c_0101_6^2 - 2*c_0101_6 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB