Magma V2.19-8 Tue Aug 20 2013 16:19:19 on localhost [Seed = 3229703630] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3433 geometric_solution 6.60250154 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688743727411 0.568661181456 0 4 0 3 0132 0132 1023 3201 0 0 0 0 0 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 0 0 0 0 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 0 0 0 0.688743727411 0.568661181456 5 0 6 3 0132 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454136942452 0.728420035583 2 1 0 4 3012 2310 0132 2103 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 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 0.957052841689 0.891719030926 5 1 6 3 2310 0132 2310 2103 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454136942452 0.728420035583 2 5 4 5 0132 2310 3201 3201 0 0 0 0 0 0 -1 1 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 -1 1 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 0.172574275937 1.292849232180 6 4 6 2 2310 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.173101773666 1.399496102331 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_2']), '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_0'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2']})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 24256129736135321560658043225594950157424/2572098799178228973839285\ 0784513151794097*c_1001_2^19 + 192583907951440841537026897658142736\ 04768/25720987991782289738392850784513151794097*c_1001_2^18 - 6457648813897158761985020022723116188940/13537362100938047230733079\ 36027007989163*c_1001_2^17 + 18279510822632199148203509197413243640\ 8482/25720987991782289738392850784513151794097*c_1001_2^16 + 125677525670167614434324589350516487277726/257209879917822897383928\ 50784513151794097*c_1001_2^15 - 36668161207816872749943704749425021\ 4496414/25720987991782289738392850784513151794097*c_1001_2^14 + 387961132773405736264568065325251282402628/257209879917822897383928\ 50784513151794097*c_1001_2^13 - 10063719918686702034461228569272432\ 74356316/25720987991782289738392850784513151794097*c_1001_2^12 + 3195438441961405048351476987817958469518003/25720987991782289738392\ 850784513151794097*c_1001_2^11 - 5422014408875283149209341912516456\ 572328318/25720987991782289738392850784513151794097*c_1001_2^10 + 4157009908470913482417799245977205269184320/25720987991782289738392\ 850784513151794097*c_1001_2^9 - 68569280194688313614113950941551144\ 61236614/25720987991782289738392850784513151794097*c_1001_2^8 + 304037099197412939786393881199735113781696/829709290057493217367511\ 315629456509487*c_1001_2^7 - 78452314174731140267206857270486492366\ 56803/25720987991782289738392850784513151794097*c_1001_2^6 + 6025190870784246401270249172414331177785409/25720987991782289738392\ 850784513151794097*c_1001_2^5 - 63136280308743546316857204659695238\ 22952600/25720987991782289738392850784513151794097*c_1001_2^4 + 3941871677224284829556610826284695412154481/25720987991782289738392\ 850784513151794097*c_1001_2^3 - 23068119422607634875949310910251622\ 05820182/25720987991782289738392850784513151794097*c_1001_2^2 + 1184350538842676853378307908186487529113127/25720987991782289738392\ 850784513151794097*c_1001_2 - 5232111312761746766458884190603783236\ 97/25720987991782289738392850784513151794097, c_0011_0 - 1, c_0011_3 - 27831614920296896456328811694097184/396990090936599625534694\ 4093920844543*c_1001_2^19 + 9688513343768208890778726338992016/3969\ 900909365996255346944093920844543*c_1001_2^18 + 164995443323128540388095824340229408/396990090936599625534694409392\ 0844543*c_1001_2^17 - 347202773301429770083515578098531872/39699009\ 09365996255346944093920844543*c_1001_2^16 + 217371261331619369461877417045931956/396990090936599625534694409392\ 0844543*c_1001_2^15 + 524357302900345916257463423313002171/39699009\ 09365996255346944093920844543*c_1001_2^14 - 1208411193081807146539842116913287372/39699009093659962553469440939\ 20844543*c_1001_2^13 + 2688781614898232793691362061144782054/396990\ 0909365996255346944093920844543*c_1001_2^12 - 5143259104089220712496328280903533209/39699009093659962553469440939\ 20844543*c_1001_2^11 + 9300349005086852407227483653682200921/396990\ 0909365996255346944093920844543*c_1001_2^10 - 10175246431302660548392242107027489426/3969900909365996255346944093\ 920844543*c_1001_2^9 + 11322930166166935842554053303416144807/39699\ 00909365996255346944093920844543*c_1001_2^8 - 12489303610692683488757353743723532347/3969900909365996255346944093\ 920844543*c_1001_2^7 + 4175091916138526747042484476174527510/396990\ 0909365996255346944093920844543*c_1001_2^6 - 6677742235839249104582277389372610542/39699009093659962553469440939\ 20844543*c_1001_2^5 - 724063198546031304772309148418503185/39699009\ 09365996255346944093920844543*c_1001_2^4 + 3739672592228007381649498597632303688/39699009093659962553469440939\ 20844543*c_1001_2^3 - 7538785987022154824191605734696017479/3969900\ 909365996255346944093920844543*c_1001_2^2 + 1272642358205688155407575352586334063/39699009093659962553469440939\ 20844543*c_1001_2 - 4129440188208473095617936212876327579/396990090\ 9365996255346944093920844543, c_0011_6 + 148505394709018640208910810949073784/39699009093659962553469\ 44093920844543*c_1001_2^19 + 169398646154607501312975909563938448/3\ 969900909365996255346944093920844543*c_1001_2^18 - 698676312272290146396655970844044194/396990090936599625534694409392\ 0844543*c_1001_2^17 + 776588315049444599845823377036403257/39699009\ 09365996255346944093920844543*c_1001_2^16 + 1013975627362322651446056080691450959/39699009093659962553469440939\ 20844543*c_1001_2^15 - 1430497988276428504406637658157949475/396990\ 0909365996255346944093920844543*c_1001_2^14 + 938250280610286125522533964822058422/396990090936599625534694409392\ 0844543*c_1001_2^13 - 6185571985324623259651840143656359051/3969900\ 909365996255346944093920844543*c_1001_2^12 + 19493240417142149464036659173963144860/3969900909365996255346944093\ 920844543*c_1001_2^11 - 28972634178701479032857074934338541937/3969\ 900909365996255346944093920844543*c_1001_2^10 + 18580609022827491054936773092065944468/3969900909365996255346944093\ 920844543*c_1001_2^9 - 45263039508252590864068987052586674559/39699\ 00909365996255346944093920844543*c_1001_2^8 + 61116844320108800656500068359872538772/3969900909365996255346944093\ 920844543*c_1001_2^7 - 38374711861924704029737283027953348930/39699\ 00909365996255346944093920844543*c_1001_2^6 + 34547359665564294822789275415080884670/3969900909365996255346944093\ 920844543*c_1001_2^5 - 40337665977791655583329342304000604016/39699\ 00909365996255346944093920844543*c_1001_2^4 + 23742422051702412926190921543518606861/3969900909365996255346944093\ 920844543*c_1001_2^3 - 7343542177132860531120875772484715013/396990\ 0909365996255346944093920844543*c_1001_2^2 + 2849851110305357788852468431036520303/39699009093659962553469440939\ 20844543*c_1001_2 + 2107997620490879841626619411095860998/396990090\ 9365996255346944093920844543, c_0101_0 - 273751140641903839930320695561642248/39699009093659962553469\ 44093920844543*c_1001_2^19 - 442394253058624997567467678475674448/3\ 969900909365996255346944093920844543*c_1001_2^18 + 1164346049711006214927150637110815510/39699009093659962553469440939\ 20844543*c_1001_2^17 - 1032925227255905601095531135971479759/396990\ 0909365996255346944093920844543*c_1001_2^16 - 3076562357667900540845645369790674783/39699009093659962553469440939\ 20844543*c_1001_2^15 + 2976249466516521970884234716371351906/396990\ 0909365996255346944093920844543*c_1001_2^14 - 1146930835980639719974219740829471677/39699009093659962553469440939\ 20844543*c_1001_2^13 + 7005806974633483670068801790250863182/396990\ 0909365996255346944093920844543*c_1001_2^12 - 26618205805083752523196303794960663477/3969900909365996255346944093\ 920844543*c_1001_2^11 + 34170098231240385789782689724569305786/3969\ 900909365996255346944093920844543*c_1001_2^10 - 1762868052739575514051951671278798781/39699009093659962553469440939\ 20844543*c_1001_2^9 + 43988325502355966644357547067238167614/396990\ 0909365996255346944093920844543*c_1001_2^8 - 48387260015003616537963169983141802218/3969900909365996255346944093\ 920844543*c_1001_2^7 + 25829511335931623640825758452197615011/39699\ 00909365996255346944093920844543*c_1001_2^6 - 10478349472753655688420754636797254059/3969900909365996255346944093\ 920844543*c_1001_2^5 + 27030531366860884131451248079413532346/39699\ 00909365996255346944093920844543*c_1001_2^4 - 7910008776118132886630739117296278934/39699009093659962553469440939\ 20844543*c_1001_2^3 + 4349315120199638591417520751344387461/3969900\ 909365996255346944093920844543*c_1001_2^2 + 3212401499793379076054576855927573247/39699009093659962553469440939\ 20844543*c_1001_2 - 3598158587291592441455193173516262396/396990090\ 9365996255346944093920844543, c_0101_1 + 273751140641903839930320695561642248/39699009093659962553469\ 44093920844543*c_1001_2^19 + 442394253058624997567467678475674448/3\ 969900909365996255346944093920844543*c_1001_2^18 - 1164346049711006214927150637110815510/39699009093659962553469440939\ 20844543*c_1001_2^17 + 1032925227255905601095531135971479759/396990\ 0909365996255346944093920844543*c_1001_2^16 + 3076562357667900540845645369790674783/39699009093659962553469440939\ 20844543*c_1001_2^15 - 2976249466516521970884234716371351906/396990\ 0909365996255346944093920844543*c_1001_2^14 + 1146930835980639719974219740829471677/39699009093659962553469440939\ 20844543*c_1001_2^13 - 7005806974633483670068801790250863182/396990\ 0909365996255346944093920844543*c_1001_2^12 + 26618205805083752523196303794960663477/3969900909365996255346944093\ 920844543*c_1001_2^11 - 34170098231240385789782689724569305786/3969\ 900909365996255346944093920844543*c_1001_2^10 + 1762868052739575514051951671278798781/39699009093659962553469440939\ 20844543*c_1001_2^9 - 43988325502355966644357547067238167614/396990\ 0909365996255346944093920844543*c_1001_2^8 + 48387260015003616537963169983141802218/3969900909365996255346944093\ 920844543*c_1001_2^7 - 25829511335931623640825758452197615011/39699\ 00909365996255346944093920844543*c_1001_2^6 + 10478349472753655688420754636797254059/3969900909365996255346944093\ 920844543*c_1001_2^5 - 27030531366860884131451248079413532346/39699\ 00909365996255346944093920844543*c_1001_2^4 + 7910008776118132886630739117296278934/39699009093659962553469440939\ 20844543*c_1001_2^3 - 4349315120199638591417520751344387461/3969900\ 909365996255346944093920844543*c_1001_2^2 - 3212401499793379076054576855927573247/39699009093659962553469440939\ 20844543*c_1001_2 + 3598158587291592441455193173516262396/396990090\ 9365996255346944093920844543, c_0101_2 - 58623941538537102259347185819870104/396990090936599625534694\ 4093920844543*c_1001_2^19 - 65711533196630921587675943354033976/396\ 9900909365996255346944093920844543*c_1001_2^18 + 308473321685492392696008940119214618/396990090936599625534694409392\ 0844543*c_1001_2^17 - 300379617165202868017868549964368455/39699009\ 09365996255346944093920844543*c_1001_2^16 - 555741689652859895223119528497508274/396990090936599625534694409392\ 0844543*c_1001_2^15 + 957863174923352139293968911780377886/39699009\ 09365996255346944093920844543*c_1001_2^14 - 291268213525707824609173031519443988/396990090936599625534694409392\ 0844543*c_1001_2^13 + 1543803319992079261233734773353852132/3969900\ 909365996255346944093920844543*c_1001_2^12 - 6440679019866340338485525492199784140/39699009093659962553469440939\ 20844543*c_1001_2^11 + 10613848861423000762776023456540625191/39699\ 00909365996255346944093920844543*c_1001_2^10 - 4473969144188565569804767204615671729/39699009093659962553469440939\ 20844543*c_1001_2^9 + 10390283963649828028659005635627216554/396990\ 0909365996255346944093920844543*c_1001_2^8 - 17066195904006504011421969114797455505/3969900909365996255346944093\ 920844543*c_1001_2^7 + 10355798105312614499565067504326169330/39699\ 00909365996255346944093920844543*c_1001_2^6 - 10285688879916268526942949076350030631/3969900909365996255346944093\ 920844543*c_1001_2^5 + 5388900022547713068448832335183437158/396990\ 0909365996255346944093920844543*c_1001_2^4 - 3095684787732329958075644655928476960/39699009093659962553469440939\ 20844543*c_1001_2^3 + 3923723052340145135231466575548230526/3969900\ 909365996255346944093920844543*c_1001_2^2 - 225477369804698822257005275163919104/396990090936599625534694409392\ 0844543*c_1001_2 - 2312427608310700036955407712350674365/3969900909\ 365996255346944093920844543, c_1001_2^20 + c_1001_2^19 - 19/4*c_1001_2^18 + 53/8*c_1001_2^17 + 6*c_1001_2^16 - 105/8*c_1001_2^15 + 109/8*c_1001_2^14 - 161/4*c_1001_2^13 + 501/4*c_1001_2^12 - 203*c_1001_2^11 + 1147/8*c_1001_2^10 - 2211/8*c_1001_2^9 + 2807/8*c_1001_2^8 - 1131/4*c_1001_2^7 + 1861/8*c_1001_2^6 - 1893/8*c_1001_2^5 + 1163/8*c_1001_2^4 - 357/4*c_1001_2^3 + 167/4*c_1001_2^2 + 11/8*c_1001_2 + 19/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB