Magma V2.19-8 Tue Aug 20 2013 23:48:41 on localhost [Seed = 3886124363] Type ? for help. Type -D to quit. Loading file "L12a1306__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1306 geometric_solution 11.27135516 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 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 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 0.697270900447 1.357259090020 0 5 7 6 0132 0132 0132 0132 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 1 -6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700528610051 0.582930201087 8 0 2 2 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580296868059 1.511701705032 6 8 6 0 0132 2310 3012 0132 0 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 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 0.368079997863 0.383487190948 9 5 0 5 0132 1302 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401057220102 1.165860402173 10 1 4 4 0132 0132 1230 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348635450223 0.678629545010 3 3 1 11 0132 1230 0132 0132 0 0 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 0 0 0 0 0 -5 5 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 1.156546461097 0.701862185192 11 7 7 1 3201 1230 3012 0132 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 -6 6 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170514490043 0.614165169886 2 10 10 3 0132 0132 0321 3201 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 0 0 0 0 7 -6 -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 0.348635450223 0.678629545010 4 11 10 11 0132 3012 0132 3201 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 -1 1 0 0 0 0 -1 6 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736159995726 0.766974381896 5 8 8 9 0132 0132 0321 0132 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 0 0 0 0 -7 6 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 0.348635450223 0.678629545010 9 9 6 7 1230 2310 0132 2310 0 0 0 1 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 5 -5 0 -6 0 0 6 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401057220102 1.165860402173 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0101_1']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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_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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0011_3']), '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' : d['1'], 's_1_3' : 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' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_11' : negation(d['c_0011_4']), 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 83023671/18210652*c_1001_5^5 + 1172366253/145685216*c_1001_5^4 + 1714584349/291370432*c_1001_5^3 + 2783164577/145685216*c_1001_5^2 + 5289913783/291370432*c_1001_5 + 3274827761/291370432, c_0011_0 - 1, c_0011_11 - 2501190/4552663*c_1001_5^5 - 8300757/18210652*c_1001_5^4 - 1398363/4552663*c_1001_5^3 - 31487617/18210652*c_1001_5^2 - 2809585/18210652*c_1001_5 - 1452528/4552663, c_0011_3 - 1, c_0011_4 + 113352/4552663*c_1001_5^5 - 564633/4552663*c_1001_5^4 - 680983/4552663*c_1001_5^3 + 1069280/4552663*c_1001_5^2 - 618798/4552663*c_1001_5 - 2117177/4552663, c_0011_7 - 421797/4552663*c_1001_5^5 - 2693763/36421304*c_1001_5^4 + 1040045/4552663*c_1001_5^3 - 2603939/36421304*c_1001_5^2 + 9497857/36421304*c_1001_5 + 91497/4552663, c_0101_0 + 421797/4552663*c_1001_5^5 + 2693763/36421304*c_1001_5^4 - 1040045/4552663*c_1001_5^3 + 2603939/36421304*c_1001_5^2 - 45919161/36421304*c_1001_5 - 91497/4552663, c_0101_1 - 1, c_0101_10 - 113352/4552663*c_1001_5^5 + 564633/4552663*c_1001_5^4 + 680983/4552663*c_1001_5^3 - 1069280/4552663*c_1001_5^2 + 618798/4552663*c_1001_5 + 2117177/4552663, c_0101_11 - 1, c_0101_2 - 421797/4552663*c_1001_5^5 - 2693763/36421304*c_1001_5^4 + 1040045/4552663*c_1001_5^3 - 2603939/36421304*c_1001_5^2 + 9497857/36421304*c_1001_5 + 91497/4552663, c_0101_5 - 1615716/4552663*c_1001_5^5 - 3313263/9105326*c_1001_5^4 + 372/4552663*c_1001_5^3 - 7453609/9105326*c_1001_5^2 - 3499393/9105326*c_1001_5 + 582976/4552663, c_1001_5^6 + 7/8*c_1001_5^5 + 1/3*c_1001_5^4 + 23/8*c_1001_5^3 + 17/24*c_1001_5^2 + 1/3*c_1001_5 - 8/3 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 64370344190188046831086645284470438323407459869567862544/6010843921\ 0714075318358571752456111916717279265097*c_1001_5^15 + 49464521688825241048377424146760473299695613384495083818405/3016241\ 47959363229947523313053824769598087307352256746*c_1001_5^14 - 1061449117991409289112056982787365151620995911734482774805797/30162\ 4147959363229947523313053824769598087307352256746*c_1001_5^13 + 732963116136284061271789846893638323574584468318164469665819/301624\ 147959363229947523313053824769598087307352256746*c_1001_5^12 - 296642852076964934598258546937364232843503529551378344239927/274203\ 77087214839086138483004893160872553391577477886*c_1001_5^11 + 389481418961777768039498528377712764618976215113805636237077/274203\ 77087214839086138483004893160872553391577477886*c_1001_5^10 - 623864787177668704680385894421010773016671396583538869858159/274203\ 77087214839086138483004893160872553391577477886*c_1001_5^9 + 3223517410783952861686880943778279495306534134343452189812965/15081\ 2073979681614973761656526912384799043653676128373*c_1001_5^8 - 4443875893783105540996709488587747956966882533932220707802645/30162\ 4147959363229947523313053824769598087307352256746*c_1001_5^7 + 603855720904252151774204143601213185368836691928540473055703/150812\ 073979681614973761656526912384799043653676128373*c_1001_5^6 + 626722006861345390739338048763588013403753291686071017606245/301624\ 147959363229947523313053824769598087307352256746*c_1001_5^5 - 36062392542398800856957615123519044217403595960550069535237/1160092\ 8767667816536443204348224029599926434898163721*c_1001_5^4 + 75649870777141874071112727550463349192703871570256286937680/1508120\ 73979681614973761656526912384799043653676128373*c_1001_5^3 + 478423144085644620340596324993213548098520772159875368643/105462988\ 7969801503313018577111275418175130445287611*c_1001_5^2 - 9287288473295892490948601832842728288174624001743998707712/15081207\ 3979681614973761656526912384799043653676128373*c_1001_5 + 797799861155303259773460057294025868637654323404340037879/301624147\ 959363229947523313053824769598087307352256746, c_0011_0 - 1, c_0011_11 + 2216190247294540911816891371167811934899385454801/108313252\ 02399148629310491351014706174739576406*c_1001_5^15 + 110904270700275874188426899417050449904589792742/541566260119957431\ 4655245675507353087369788203*c_1001_5^14 + 3610408924158516564148400620932961237630634739351/54156626011995743\ 14655245675507353087369788203*c_1001_5^13 - 1587127203681247442599749052724038590812800309424/54156626011995743\ 14655245675507353087369788203*c_1001_5^12 + 10597967413351777111705452898964195874927638910648/5415662601199574\ 314655245675507353087369788203*c_1001_5^11 - 11868034000720488489996237189870014382115569974775/5415662601199574\ 314655245675507353087369788203*c_1001_5^10 + 39856267044031161225615605818289203502143552818901/1083132520239914\ 8629310491351014706174739576406*c_1001_5^9 - 32503014037655921965381461063174501533438174005327/1083132520239914\ 8629310491351014706174739576406*c_1001_5^8 + 19635511553579083478496804262078695843878201050793/1083132520239914\ 8629310491351014706174739576406*c_1001_5^7 - 797624409920712276512046009703378312096315564717/108313252023991486\ 29310491351014706174739576406*c_1001_5^6 - 6307061927303616064493432061138960135952613007131/10831325202399148\ 629310491351014706174739576406*c_1001_5^5 + 2718689021234970489868715409894629128298361489197/54156626011995743\ 14655245675507353087369788203*c_1001_5^4 + 231676915580831028124778237558702669586878715589/541566260119957431\ 4655245675507353087369788203*c_1001_5^3 - 545301652246893110202392505044777068296784763297/541566260119957431\ 4655245675507353087369788203*c_1001_5^2 - 115668753002495006495059588899561342308108332155/108313252023991486\ 29310491351014706174739576406*c_1001_5 + 9896896249096316802455751828955603930563776617/10831325202399148629\ 310491351014706174739576406, c_0011_3 - 1, c_0011_4 - 905729600846828532822087265235529108781427134197/10831325202\ 399148629310491351014706174739576406*c_1001_5^15 + 83992283417414834871116172159107213752011020887/5415662601199574314\ 655245675507353087369788203*c_1001_5^14 - 1472566503209518889100092358383613356813632001693/54156626011995743\ 14655245675507353087369788203*c_1001_5^13 + 1084612510679160838515804384910955441154018566470/54156626011995743\ 14655245675507353087369788203*c_1001_5^12 - 4545292124361518166273561047131855112222444008335/54156626011995743\ 14655245675507353087369788203*c_1001_5^11 + 6152770260014828191554378224310202411092470305019/54156626011995743\ 14655245675507353087369788203*c_1001_5^10 - 19287893478815648903060387547040136009979596184093/1083132520239914\ 8629310491351014706174739576406*c_1001_5^9 + 18444152289986623202658853766604572293880323567553/1083132520239914\ 8629310491351014706174739576406*c_1001_5^8 - 12485748503877411504005668605975098056554037065905/1083132520239914\ 8629310491351014706174739576406*c_1001_5^7 + 3454518061923545152647641886888737582833809786945/10831325202399148\ 629310491351014706174739576406*c_1001_5^6 + 1875367194131013923563056514655812762306151676623/10831325202399148\ 629310491351014706174739576406*c_1001_5^5 - 1316884409114110478254358037694280153434411115290/54156626011995743\ 14655245675507353087369788203*c_1001_5^4 + 216447062948051204458797575500878903084615336188/541566260119957431\ 4655245675507353087369788203*c_1001_5^3 + 224187158380370872108095129207407621023445083882/541566260119957431\ 4655245675507353087369788203*c_1001_5^2 - 38825224490903110595924642879293776314856695659/1083132520239914862\ 9310491351014706174739576406*c_1001_5 - 9227552913688165028326996728525539003245705365/10831325202399148629\ 310491351014706174739576406, c_0011_7 + 1256538221688120852970504134792346483355968673147/1083132520\ 2399148629310491351014706174739576406*c_1001_5^15 + 208518454242962299126946988920530467583855351767/108313252023991486\ 29310491351014706174739576406*c_1001_5^14 + 4177424019214803158008669370103320089495015967917/10831325202399148\ 629310491351014706174739576406*c_1001_5^13 - 1513419115731377312218026239780800727098918496041/10831325202399148\ 629310491351014706174739576406*c_1001_5^12 + 12158220609037901640128977099942733751934010030927/1083132520239914\ 8629310491351014706174739576406*c_1001_5^11 - 12741754839726266830877886341286492585782733695945/1083132520239914\ 8629310491351014706174739576406*c_1001_5^10 + 11232473417265133393573094171843792264552618119115/5415662601199574\ 314655245675507353087369788203*c_1001_5^9 - 17668541244403052651001749128328002950550917309799/1083132520239914\ 8629310491351014706174739576406*c_1001_5^8 + 5657834132708966133342151315657902950577487058804/54156626011995743\ 14655245675507353087369788203*c_1001_5^7 - 787313735267681664435408144588208670936176646273/108313252023991486\ 29310491351014706174739576406*c_1001_5^6 - 1401888826700597641232725443907487619397670437851/54156626011995743\ 14655245675507353087369788203*c_1001_5^5 + 1348577369776688956208535542486860733416640420417/54156626011995743\ 14655245675507353087369788203*c_1001_5^4 + 202728716813528518816167510569253794714496650649/541566260119957431\ 4655245675507353087369788203*c_1001_5^3 - 234636445723974469872054869114297331913241915747/541566260119957431\ 4655245675507353087369788203*c_1001_5^2 - 85781601916130229270556666239012386296985322771/1083132520239914862\ 9310491351014706174739576406*c_1001_5 - 2809098342275851129334229241348224820507277354/54156626011995743146\ 55245675507353087369788203, c_0101_0 + 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