Magma V2.19-8 Tue Aug 20 2013 17:56:30 on localhost [Seed = 2446337451] Type ? for help. Type -D to quit. Loading file "9_15__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9_15 geometric_solution 9.88549866 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 1230 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 1 0 -1 -2 0 2 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 0.198318838101 0.461961119161 0 4 4 5 0132 0132 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 2 0 -1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.091315254343 1.211683706432 0 0 7 6 3012 0132 0132 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 -1 0 1 1 0 0 -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 0.936433184570 0.539610686297 8 9 5 0 0132 0132 2103 0132 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 1 0 1 -2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.255764602765 1.165294672410 1 1 9 10 2031 0132 2103 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 1 -1 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 0.938154912133 0.820637097613 3 8 1 6 2103 2103 0132 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.034671920977 0.585767371443 5 9 2 10 3201 0213 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.727161188770 0.512066046357 8 8 10 2 3012 0213 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726131368287 0.695182925716 3 5 7 7 0132 2103 0213 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.726131368287 0.695182925716 4 3 6 10 2103 0132 0213 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.697111485148 0.708530103989 7 6 4 9 2031 0321 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.312321300740 0.914399637640 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_5'], 'c_1010_10' : d['c_0110_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_2_7' : d['1'], 's_2_10' : 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' : negation(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' : d['c_0110_9'], 'c_1100_8' : d['c_0101_2'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0110_9']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0110_9']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : negation(d['c_0011_10']), '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_0110_10' : d['c_0011_5'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_7'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0011_7'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0011_7'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0011_7, c_0101_10, c_0101_2, c_0101_6, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 9492024585482102112519856768019405483/56108368119401570336403353085\ 13675408*c_1001_0^18 + 18531721851009735393536962438815622405/56108\ 36811940157033640335308513675408*c_1001_0^17 - 106891232978226209039655713186157515765/561083681194015703364033530\ 8513675408*c_1001_0^16 + 127112722416150173250217330685251532977/56\ 10836811940157033640335308513675408*c_1001_0^15 - 469542098824878486897329541864820977809/561083681194015703364033530\ 8513675408*c_1001_0^14 + 80555714495448882682734030166736304333/561\ 0836811940157033640335308513675408*c_1001_0^13 + 77357821787184615564187642442722683079/2805418405970078516820167654\ 256837704*c_1001_0^12 - 1866538695680340248726214639800844253533/56\ 10836811940157033640335308513675408*c_1001_0^11 + 1896246812982513741863540414943214561749/56108368119401570336403353\ 08513675408*c_1001_0^10 - 1814759406449214886984034417660154053115/\ 5610836811940157033640335308513675408*c_1001_0^9 + 1368194440932256059445156794002742066573/56108368119401570336403353\ 08513675408*c_1001_0^8 + 5775403311682768723951866132900192017389/5\ 610836811940157033640335308513675408*c_1001_0^7 - 7826442164026636594549577723662037676311/56108368119401570336403353\ 08513675408*c_1001_0^6 - 1186293220227339864285657595139221282699/5\ 610836811940157033640335308513675408*c_1001_0^5 - 2191267410516677553002826716594090138315/28054184059700785168201676\ 54256837704*c_1001_0^4 - 3643437253674967636575533361307310614759/1\ 402709202985039258410083827128418852*c_1001_0^3 - 239406886481101950846793984174069047913/295307200628429317560017647\ 816509232*c_1001_0^2 - 2635851546335894938412856439863598256663/280\ 5418405970078516820167654256837704*c_1001_0 - 4699327738674200399626634117581750435447/56108368119401570336403353\ 08513675408, c_0011_0 - 1, c_0011_10 + 60088724090865290847803424354/45049304464917823645352948470\ 91*c_1001_0^18 - 231559639105612922214228118976/4504930446491782364\ 535294847091*c_1001_0^17 + 1089610069544819063269713672771/45049304\ 46491782364535294847091*c_1001_0^16 - 2706371368821138477575207627337/4504930446491782364535294847091*c_1\ 001_0^15 + 7503651636844521801595086878184/450493044649178236453529\ 4847091*c_1001_0^14 - 12784711881828905843465509919196/450493044649\ 1782364535294847091*c_1001_0^13 + 18893574867399428716912681790754/\ 4504930446491782364535294847091*c_1001_0^12 - 14222177247678988286998927586168/4504930446491782364535294847091*c_\ 1001_0^11 + 3491189460423661598869432032638/45049304464917823645352\ 94847091*c_1001_0^10 + 16912793363591291756868478575741/45049304464\ 91782364535294847091*c_1001_0^9 - 42708721585551894219069191296304/\ 4504930446491782364535294847091*c_1001_0^8 + 41192349741624492109263764320494/4504930446491782364535294847091*c_\ 1001_0^7 - 8755664701292592238305277067495/450493044649178236453529\ 4847091*c_1001_0^6 - 9853260627881045286858431876005/45049304464917\ 82364535294847091*c_1001_0^5 + 36138531185738431495656380623136/450\ 4930446491782364535294847091*c_1001_0^4 + 28123770942204719041454891788321/4504930446491782364535294847091*c_\ 1001_0^3 + 22158549277063302849543242092664/45049304464917823645352\ 94847091*c_1001_0^2 + 25549959180287731964673194173450/450493044649\ 1782364535294847091*c_1001_0 + 23579935150481929761701592189612/450\ 4930446491782364535294847091, c_0011_3 + 47581659770129400453642418244/450493044649178236453529484709\ 1*c_1001_0^18 - 151072774837004317755132375514/45049304464917823645\ 35294847091*c_1001_0^17 + 732814546363364040792292219050/4504930446\ 491782364535294847091*c_1001_0^16 - 1584862637578482435298659806566/4504930446491782364535294847091*c_1\ 001_0^15 + 4512969031417287403839965176827/450493044649178236453529\ 4847091*c_1001_0^14 - 6484619856479321745415764638970/4504930446491\ 782364535294847091*c_1001_0^13 + 8562093390169655523769081332358/45\ 04930446491782364535294847091*c_1001_0^12 - 3445882227702497324938008561767/4504930446491782364535294847091*c_1\ 001_0^11 - 2750844428341151391754170451751/450493044649178236453529\ 4847091*c_1001_0^10 + 12260069038430194884986257080527/450493044649\ 1782364535294847091*c_1001_0^9 - 26067457715956122340641722938908/4\ 504930446491782364535294847091*c_1001_0^8 + 12044850653223880230953344784788/4504930446491782364535294847091*c_\ 1001_0^7 + 11623813519129372147174051706916/45049304464917823645352\ 94847091*c_1001_0^6 + 826656514339502307686368861891/45049304464917\ 82364535294847091*c_1001_0^5 + 28992159886207261558684889528211/450\ 4930446491782364535294847091*c_1001_0^4 + 20621124101907292717260316390753/4504930446491782364535294847091*c_\ 1001_0^3 + 10469853406451095784207916574610/45049304464917823645352\ 94847091*c_1001_0^2 + 7556110355439105097870823420809/4504930446491\ 782364535294847091*c_1001_0 + 5236476887836145638221280248607/45049\ 30446491782364535294847091, c_0011_5 - 152710458820010775595636355291/45049304464917823645352948470\ 91*c_1001_0^18 + 500775211339488431333261594310/4504930446491782364\ 535294847091*c_1001_0^17 - 2435473235448964433237842098033/45049304\ 46491782364535294847091*c_1001_0^16 + 5414556522073086972000472105349/4504930446491782364535294847091*c_1\ 001_0^15 - 15467835427515781533018068364383/45049304464917823645352\ 94847091*c_1001_0^14 + 23144597398559860291006275571161/45049304464\ 91782364535294847091*c_1001_0^13 - 32289900877665961192460126817909/4504930446491782364535294847091*c_\ 1001_0^12 + 16964733590978519111524539142597/4504930446491782364535\ 294847091*c_1001_0^11 + 3319020097138751266780104147156/45049304464\ 91782364535294847091*c_1001_0^10 - 39392217725761648187565032113653/4504930446491782364535294847091*c_\ 1001_0^9 + 89515366152094264321834311393473/45049304464917823645352\ 94847091*c_1001_0^8 - 54916868943199533856918715240695/450493044649\ 1782364535294847091*c_1001_0^7 - 15151600484953482340218600203953/4\ 504930446491782364535294847091*c_1001_0^6 - 4312381337007855485259615901828/4504930446491782364535294847091*c_1\ 001_0^5 - 91798584827024126473855455597415/450493044649178236453529\ 4847091*c_1001_0^4 - 76255616980907377553921510985707/4504930446491\ 782364535294847091*c_1001_0^3 - 56935422806840892954343893344404/45\ 04930446491782364535294847091*c_1001_0^2 - 46877721829148937917150713661789/4504930446491782364535294847091*c_\ 1001_0 - 38866361908287807368435445356737/4504930446491782364535294\ 847091, c_0011_6 - 16338577127231179231340245541/450493044649178236453529484709\ 1*c_1001_0^18 + 49218696661880712148607907959/450493044649178236453\ 5294847091*c_1001_0^17 - 246550705197728416713498717550/45049304464\ 91782364535294847091*c_1001_0^16 + 511723743429367740886238935746/4504930446491782364535294847091*c_10\ 01_0^15 - 1507066486613227960076580340071/4504930446491782364535294\ 847091*c_1001_0^14 + 2056386542737586864613556644419/45049304464917\ 82364535294847091*c_1001_0^13 - 2841654767921435408410718009017/450\ 4930446491782364535294847091*c_1001_0^12 + 996002936364459858025853849078/4504930446491782364535294847091*c_10\ 01_0^11 + 714495289609664654336505763922/45049304464917823645352948\ 47091*c_1001_0^10 - 4018948726428509638837639212374/450493044649178\ 2364535294847091*c_1001_0^9 + 8392088025694047090536697150892/45049\ 30446491782364535294847091*c_1001_0^8 - 3160514305230944331619429152470/4504930446491782364535294847091*c_1\ 001_0^7 - 3390452674804298120535651731199/4504930446491782364535294\ 847091*c_1001_0^6 - 319005017765075137733697789119/4504930446491782\ 364535294847091*c_1001_0^5 - 10630244213394312833712022681725/45049\ 30446491782364535294847091*c_1001_0^4 - 8517327571614013461581159866135/4504930446491782364535294847091*c_1\ 001_0^3 - 6536365737831239229005642073519/4504930446491782364535294\ 847091*c_1001_0^2 - 7635623374663335156473358976006/450493044649178\ 2364535294847091*c_1001_0 - 2312384916841660489830993344324/4504930\ 446491782364535294847091, c_0011_7 - 91451350210081735501874560088/450493044649178236453529484709\ 1*c_1001_0^18 + 265955195086743662158785664064/45049304464917823645\ 35294847091*c_1001_0^17 - 1366602517690813681938800777769/450493044\ 6491782364535294847091*c_1001_0^16 + 2767472308138817121964748590941/4504930446491782364535294847091*c_1\ 001_0^15 - 8344419049175431420326196833985/450493044649178236453529\ 4847091*c_1001_0^14 + 11059125024717796530304699926988/450493044649\ 1782364535294847091*c_1001_0^13 - 15792514737592494331885973662648/\ 4504930446491782364535294847091*c_1001_0^12 + 5293294784564038778013494415880/4504930446491782364535294847091*c_1\ 001_0^11 + 3867264890807412199950113820990/450493044649178236453529\ 4847091*c_1001_0^10 - 23380274820398772369860701146828/450493044649\ 1782364535294847091*c_1001_0^9 + 48817802297940301885703122445773/4\ 504930446491782364535294847091*c_1001_0^8 - 18455650125732769561198217551438/4504930446491782364535294847091*c_\ 1001_0^7 - 11128349035214652865023602924318/45049304464917823645352\ 94847091*c_1001_0^6 - 9085232768223094882024646360465/4504930446491\ 782364535294847091*c_1001_0^5 - 69032971200616165083852180043343/45\ 04930446491782364535294847091*c_1001_0^4 - 67336804821599954140833994939122/4504930446491782364535294847091*c_\ 1001_0^3 - 49631846449215934539496091659285/45049304464917823645352\ 94847091*c_1001_0^2 - 37072089011846154101055699894722/450493044649\ 1782364535294847091*c_1001_0 - 27965881396494359343124577855462/450\ 4930446491782364535294847091, c_0101_10 + 60700714217769676877400178475/45049304464917823645352948470\ 91*c_1001_0^18 - 145452132047320135543360204207/4504930446491782364\ 535294847091*c_1001_0^17 + 805667739019201059901107569090/450493044\ 6491782364535294847091*c_1001_0^16 - 1392710296821193203715148498802/4504930446491782364535294847091*c_1\ 001_0^15 + 4595713200938118104009443770436/450493044649178236453529\ 4847091*c_1001_0^14 - 4944231305180944534214058123572/4504930446491\ 782364535294847091*c_1001_0^13 + 7359235773855419878843015352944/45\ 04930446491782364535294847091*c_1001_0^12 - 1418330104832652215052221290598/4504930446491782364535294847091*c_1\ 001_0^11 + 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