Magma V2.19-8 Wed Aug 21 2013 01:05:05 on localhost [Seed = 3616657230] Type ? for help. Type -D to quit. Loading file "L14n25008__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25008 geometric_solution 11.53126715 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 0 -1 1 -1 0 1 0 1 -2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.389547670466 0.752827738295 0 5 7 6 0132 0132 0132 0132 1 1 1 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 0 0 0 1 0 -1 0 -1 2 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729788965381 0.449300096631 4 0 8 5 0213 0132 0132 1302 1 1 1 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 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570658922974 0.761058644710 9 10 9 0 0132 0132 2310 0132 1 1 1 1 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 -1 0 1 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 1.197397025104 0.965837482015 2 11 0 12 0213 0132 0132 0132 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649352795868 0.726076488455 7 1 2 8 0321 0132 2031 3120 1 1 0 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509967460326 0.710397654365 9 12 1 11 2103 1023 0132 1302 1 1 1 1 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 0.885566367626 0.550122449280 5 11 10 1 0321 1023 2031 0132 1 1 0 1 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 1 -1 0 -2 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 1.241341335705 1.167444158604 5 11 10 2 3120 0321 1023 0132 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 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 0.719577307027 0.794161109887 3 3 6 12 0132 3201 2103 0321 1 1 1 1 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329315309822 0.477137677490 12 3 8 7 3201 0132 1023 1302 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 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 -0.209150210724 0.987316674139 7 4 6 8 1023 0132 2031 0321 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 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 0 0 0 0.163114660666 0.658852755924 6 9 4 10 1023 0321 0132 2310 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 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 0.312493704076 0.349892651786 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : negation(d['c_0110_6']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_0110_6']), 'c_1100_8' : d['c_0101_5'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_5']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : d['c_0011_12'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0101_10']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0110_6'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0101_8, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 6293624673214862331918862389765901/12353560531787882505186201654835\ 2*c_1001_2^13 + 5715288786928152308073572353278559/4117853510595960\ 8350620672182784*c_1001_2^12 + 77505225072171921131249513685539023/\ 61767802658939412525931008274176*c_1001_2^11 + 116978803836306297884250030465055423/411785351059596083506206721827\ 84*c_1001_2^10 + 229427965215579866099699162787359395/2058926755297\ 9804175310336091392*c_1001_2^9 + 2045665789295790137749312473086941\ 799/123535605317878825051862016548352*c_1001_2^8 + 199129326131077284252815065737669657/686308918432660139177011203046\ 4*c_1001_2^7 + 4657758456937188250759041999483961595/12353560531787\ 8825051862016548352*c_1001_2^6 + 6074629010831694064046904725879113\ 691/123535605317878825051862016548352*c_1001_2^5 + 4775804064350437137244731368871523987/12353560531787882505186201654\ 8352*c_1001_2^4 + 404518565418007326555302437416602279/137261783686\ 53202783540224060928*c_1001_2^3 + 303238491327378334448734467006339\ 675/13726178368653202783540224060928*c_1001_2^2 + 504065519080707128206341341120190455/617678026589394125259310082741\ 76*c_1001_2 - 191785784319415309703224540982287757/1235356053178788\ 25051862016548352, c_0011_0 - 1, c_0011_10 + 24433500427664597/10296098834037147396*c_1001_2^13 + 29372821007286839/10296098834037147396*c_1001_2^12 + 262483847037104251/5148049417018573698*c_1001_2^11 + 502382101388293249/10296098834037147396*c_1001_2^10 + 961288202730250567/2574024708509286849*c_1001_2^9 + 920235693088717253/10296098834037147396*c_1001_2^8 + 3330021336340484251/5148049417018573698*c_1001_2^7 + 2762318589815786383/10296098834037147396*c_1001_2^6 + 838445055217194993/1144010981559683044*c_1001_2^5 - 2925726181977848837/10296098834037147396*c_1001_2^4 + 6643761668979673093/10296098834037147396*c_1001_2^3 + 421637490085004451/1144010981559683044*c_1001_2^2 + 1202756482542498670/2574024708509286849*c_1001_2 + 3391255275252682301/10296098834037147396, c_0011_11 + 3645656112658217/1716016472339524566*c_1001_2^13 + 9094228324962719/1716016472339524566*c_1001_2^12 + 43613335306784974/858008236169762283*c_1001_2^11 + 177804972667208713/1716016472339524566*c_1001_2^10 + 371885067278656703/858008236169762283*c_1001_2^9 + 910668038577339743/1716016472339524566*c_1001_2^8 + 885133063296864754/858008236169762283*c_1001_2^7 + 1715423872337042377/1716016472339524566*c_1001_2^6 + 1151573590162198727/572005490779841522*c_1001_2^5 + 1602189057413504935/1716016472339524566*c_1001_2^4 + 1900241663846633011/1716016472339524566*c_1001_2^3 + 297800993930992097/572005490779841522*c_1001_2^2 + 574682548819375274/858008236169762283*c_1001_2 - 618063725212515721/1716016472339524566, c_0011_12 - 77171784471521777/10296098834037147396*c_1001_2^13 - 124531448159836487/10296098834037147396*c_1001_2^12 - 850118066997819493/5148049417018573698*c_1001_2^11 - 2283547042656010957/10296098834037147396*c_1001_2^10 - 3229209956156325655/2574024708509286849*c_1001_2^9 - 8239905471596869121/10296098834037147396*c_1001_2^8 - 11704298860997309827/5148049417018573698*c_1001_2^7 - 19945418781893577343/10296098834037147396*c_1001_2^6 - 10340722487373013547/3432032944679049132*c_1001_2^5 - 5247973081468589983/10296098834037147396*c_1001_2^4 - 16552569918725023201/10296098834037147396*c_1001_2^3 - 1767822256218963067/1144010981559683044*c_1001_2^2 - 175605860068642888/2574024708509286849*c_1001_2 - 4795202110382807417/10296098834037147396, c_0011_8 - 841179728154391/2574024708509286849*c_1001_2^13 - 16618136733888163/2574024708509286849*c_1001_2^12 - 49473534793030771/2574024708509286849*c_1001_2^11 - 372086846069113835/2574024708509286849*c_1001_2^10 - 731089503652127426/2574024708509286849*c_1001_2^9 - 2846097161676966010/2574024708509286849*c_1001_2^8 - 2940695166076720930/2574024708509286849*c_1001_2^7 - 5619310431423037484/2574024708509286849*c_1001_2^6 - 690243094278523089/286002745389920761*c_1001_2^5 - 7958294721163215578/2574024708509286849*c_1001_2^4 - 4426342945299758141/2574024708509286849*c_1001_2^3 - 886084525468199807/858008236169762283*c_1001_2^2 - 3260534286742071554/2574024708509286849*c_1001_2 - 178446705179307694/2574024708509286849, c_0101_0 - 1, c_0101_10 - 2785559635306514/2574024708509286849*c_1001_2^13 - 10735255098037052/2574024708509286849*c_1001_2^12 - 89981786468632121/2574024708509286849*c_1001_2^11 - 256310502026554270/2574024708509286849*c_1001_2^10 - 1068137824660075759/2574024708509286849*c_1001_2^9 - 2021636747765307710/2574024708509286849*c_1001_2^8 - 4746842244932748329/2574024708509286849*c_1001_2^7 - 5417169825602844967/2574024708509286849*c_1001_2^6 - 2746071525895345789/858008236169762283*c_1001_2^5 - 7767197686935260857/2574024708509286849*c_1001_2^4 - 7150013640583979227/2574024708509286849*c_1001_2^3 - 862437377380661299/858008236169762283*c_1001_2^2 - 910715161260534532/2574024708509286849*c_1001_2 - 1569802129261662218/2574024708509286849, c_0101_11 + 1745430149775169/3432032944679049132*c_1001_2^13 - 3995343933764357/3432032944679049132*c_1001_2^12 + 5251275105881765/572005490779841522*c_1001_2^11 - 86972164969534271/3432032944679049132*c_1001_2^10 + 15959386335761753/286002745389920761*c_1001_2^9 - 710346611543206199/3432032944679049132*c_1001_2^8 + 119870983629781391/572005490779841522*c_1001_2^7 - 114678538943211677/3432032944679049132*c_1001_2^6 + 1497028767426705937/3432032944679049132*c_1001_2^5 + 738139208952105191/3432032944679049132*c_1001_2^4 + 1353667883552026603/1144010981559683044*c_1001_2^3 + 1512776067496417111/3432032944679049132*c_1001_2^2 + 116243830778434975/858008236169762283*c_1001_2 + 1270955978577239369/3432032944679049132, c_0101_12 + 1871571536707943/10296098834037147396*c_1001_2^13 - 78458578736845723/10296098834037147396*c_1001_2^12 - 51685593633125657/5148049417018573698*c_1001_2^11 - 1749263879185058153/10296098834037147396*c_1001_2^10 - 587455026630271649/2574024708509286849*c_1001_2^9 - 13515428481337482637/10296098834037147396*c_1001_2^8 - 4802551479485409341/5148049417018573698*c_1001_2^7 - 22821277342521784967/10296098834037147396*c_1001_2^6 - 6785888363915571131/3432032944679049132*c_1001_2^5 - 29618761257796546739/10296098834037147396*c_1001_2^4 - 5522360829230793137/10296098834037147396*c_1001_2^3 - 2031562034376382117/3432032944679049132*c_1001_2^2 - 2911802794406766629/2574024708509286849*c_1001_2 + 3099081115014487331/10296098834037147396, c_0101_5 + 18618012307476319/3432032944679049132*c_1001_2^13 + 37539835740318257/3432032944679049132*c_1001_2^12 + 70482486057073137/572005490779841522*c_1001_2^11 + 706248696441500819/3432032944679049132*c_1001_2^10 + 831495219184001599/858008236169762283*c_1001_2^9 + 3017969064609328331/3432032944679049132*c_1001_2^8 + 1015567598847344059/572005490779841522*c_1001_2^7 + 5259673954057816181/3432032944679049132*c_1001_2^6 + 7717806905321502803/3432032944679049132*c_1001_2^5 + 1762409390482737541/3432032944679049132*c_1001_2^4 + 403819311354554877/1144010981559683044*c_1001_2^3 + 721764537862284923/1144010981559683044*c_1001_2^2 + 68147169742958780/858008236169762283*c_1001_2 - 220857863867081143/1144010981559683044, c_0101_8 - 24433500427664597/10296098834037147396*c_1001_2^13 - 29372821007286839/10296098834037147396*c_1001_2^12 - 262483847037104251/5148049417018573698*c_1001_2^11 - 502382101388293249/10296098834037147396*c_1001_2^10 - 961288202730250567/2574024708509286849*c_1001_2^9 - 920235693088717253/10296098834037147396*c_1001_2^8 - 3330021336340484251/5148049417018573698*c_1001_2^7 - 2762318589815786383/10296098834037147396*c_1001_2^6 - 838445055217194993/1144010981559683044*c_1001_2^5 + 2925726181977848837/10296098834037147396*c_1001_2^4 - 6643761668979673093/10296098834037147396*c_1001_2^3 - 421637490085004451/1144010981559683044*c_1001_2^2 + 1371268225966788179/2574024708509286849*c_1001_2 - 3391255275252682301/10296098834037147396, c_0110_6 - 7407948168922963/1144010981559683044*c_1001_2^13 - 44292995785180171/3432032944679049132*c_1001_2^12 - 247071842444757661/1716016472339524566*c_1001_2^11 - 276771193140651491/1144010981559683044*c_1001_2^10 - 942314735826469964/858008236169762283*c_1001_2^9 - 3547189368741100105/3432032944679049132*c_1001_2^8 - 3066896576493003649/1716016472339524566*c_1001_2^7 - 2505752765093041217/1144010981559683044*c_1001_2^6 - 8195234247880166357/3432032944679049132*c_1001_2^5 - 2690115701401328567/3432032944679049132*c_1001_2^4 - 358808872085068105/3432032944679049132*c_1001_2^3 - 1359194753640861621/1144010981559683044*c_1001_2^2 + 122219942916669189/286002745389920761*c_1001_2 + 1238587257401241715/3432032944679049132, c_1001_2^14 + 2*c_1001_2^13 + 23*c_1001_2^12 + 39*c_1001_2^11 + 187*c_1001_2^10 + 189*c_1001_2^9 + 413*c_1001_2^8 + 465*c_1001_2^7 + 638*c_1001_2^6 + 374*c_1001_2^5 + 394*c_1001_2^4 + 362*c_1001_2^3 + 53*c_1001_2^2 + 69*c_1001_2 + 79 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.360 Total time: 1.560 seconds, Total memory usage: 32.09MB