Magma V2.19-8 Tue Aug 20 2013 16:16:23 on localhost [Seed = 4223297307] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0667 geometric_solution 4.64146543 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.647196476140 0.079059979945 2 0 2 0 0132 2310 1023 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 1 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 0.830395786638 0.106913722957 1 3 1 3 0132 0132 1023 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 1 -1 -1 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 0.741318364551 0.354270238208 4 2 5 2 0132 0132 0132 1023 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 0 0 -1 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 1.847422313247 1.141600546137 3 5 5 6 0132 1230 0213 0132 0 0 0 0 0 0 0 0 1 0 -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 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 0.690463897194 0.769034796951 6 4 4 3 3201 0213 3012 0132 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.690463897194 0.769034796951 6 6 4 5 1302 2031 0132 2310 0 0 0 0 0 0 0 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 0 0 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 0.567808388737 0.333449691081 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : d['1'], '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_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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_6']), '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_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : d['c_0011_1'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 244312298392937405174855346935720441209139583507508076/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^23 + 3164420264030094589091315498315589671558348833143413623/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^22 + 15243220715986925840074760991900037207113517004953885826/1780201155\ 828931722466323912129407866219954478420111*c_0101_5^21 + 23735484014730868956966736038498111823889694090206319993/1780201155\ 828931722466323912129407866219954478420111*c_0101_5^20 - 69141847587486147522989753575036949863293954939680502586/1780201155\ 828931722466323912129407866219954478420111*c_0101_5^19 - 315510975262926243462388780537670468963521593875972695085/178020115\ 5828931722466323912129407866219954478420111*c_0101_5^18 - 111845654618932425211394639222081206442003117016664733693/178020115\ 5828931722466323912129407866219954478420111*c_0101_5^17 + 1247001114928542516617812684628661939983570676526765091395/17802011\ 55828931722466323912129407866219954478420111*c_0101_5^16 + 1148753750708919157919320526159726445458758459791828429209/17802011\ 55828931722466323912129407866219954478420111*c_0101_5^15 - 3421140678444303775484633083595674076621048407342760168734/17802011\ 55828931722466323912129407866219954478420111*c_0101_5^14 - 2694466577218842381031191112877958181071509812686636277788/17802011\ 55828931722466323912129407866219954478420111*c_0101_5^13 + 9712832549206515238432676181119485233284574056822305420457/17802011\ 55828931722466323912129407866219954478420111*c_0101_5^12 - 2305660186385160455085542295297893881137579315074648255215/17802011\ 55828931722466323912129407866219954478420111*c_0101_5^11 - 9003391239422442327091852779691968596378240522625476346686/17802011\ 55828931722466323912129407866219954478420111*c_0101_5^10 + 3026433095608973287227486215243693106923903986712109322533/17802011\ 55828931722466323912129407866219954478420111*c_0101_5^9 + 4406087788820312212442620228017141646655060399332008269430/17802011\ 55828931722466323912129407866219954478420111*c_0101_5^8 + 443465145947044650254065119437208190966536430236662023465/178020115\ 5828931722466323912129407866219954478420111*c_0101_5^7 - 2265019641705702347119873159656071320767206976829347388351/17802011\ 55828931722466323912129407866219954478420111*c_0101_5^6 - 363015524665424393523708036155160917389723545862324794772/178020115\ 5828931722466323912129407866219954478420111*c_0101_5^5 + 643406149665699511597079164318699562728426967487096893662/178020115\ 5828931722466323912129407866219954478420111*c_0101_5^4 - 89919010703857599505044357219437240930649503828228176797/1780201155\ 828931722466323912129407866219954478420111*c_0101_5^3 - 44355950954259061773595283632062591665490815556440930218/1780201155\ 828931722466323912129407866219954478420111*c_0101_5^2 + 18262830443554572488727586724195485638098425828140223392/1780201155\ 828931722466323912129407866219954478420111*c_0101_5 - 2086376030738248164649192050619164003008711991777723034/17802011558\ 28931722466323912129407866219954478420111, c_0011_0 - 1, c_0011_1 - 337266867707371459334011818608344024279936246683249/17802011\ 55828931722466323912129407866219954478420111*c_0101_5^23 - 4473418241709486997631657866904050969812554572197180/17802011558289\ 31722466323912129407866219954478420111*c_0101_5^22 - 22427104594104770848751156426429335907768898278508734/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^21 - 39639311841044071471656869361158776654187618211171364/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^20 + 83615490884364261932352728717409751057791941186826078/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^19 + 462260870056072467306213450417268255397601332224946976/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^18 + 295500349598495948577676477610478994516958245064497011/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^17 - 1640340682177037780472040699942241182789619281545415729/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^16 - 2097339228516955419266847488234583128499063166629015903/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^15 + 4117882717665627838331515076353493653542264738103980913/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^14 + 5034533188172753248465793105964233243706596782061152863/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^13 - 11979312400051706430762450744160674364211564033886569909/1780201155\ 828931722466323912129407866219954478420111*c_0101_5^12 - 626202927085731750610871741024570224877244759502556242/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^11 + 12614725700133834625003341895882946455516724600698185463/1780201155\ 828931722466323912129407866219954478420111*c_0101_5^10 - 391028705316870773332958288284941106103346650492244937/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^9 - 6538782636561123818212680045902097787656672384464529380/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^8 - 2485475534989589771454737989744840080789707021055338304/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^7 + 2516609641958219565020696463910283568782877708978670539/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^6 + 1293915257125876619607078789478404594354421426824145871/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^5 - 579941995473367887559707479917728701706620891479400806/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^4 - 72417882977313393416181430491025425828054317171305577/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^3 + 61927351902411216067301018025992385873608818350330803/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^2 - 10849538074120519818157187875181741426333522483329741/1780201155828\ 931722466323912129407866219954478420111*c_0101_5 - 877895875686497342996120939882697399193205306830971/178020115582893\ 1722466323912129407866219954478420111, c_0011_5 - 48255682041006272989796207419093832780638492570683/178020115\ 5828931722466323912129407866219954478420111*c_0101_5^23 - 644073524328432990983436498745246019799931066201192/178020115582893\ 1722466323912129407866219954478420111*c_0101_5^22 - 3250244935510706020617079948113358750361351537289394/17802011558289\ 31722466323912129407866219954478420111*c_0101_5^21 - 5775384860208122892795393023976430297956909048596560/17802011558289\ 31722466323912129407866219954478420111*c_0101_5^20 + 12358595618868094834678359504650822600391850767709967/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^19 + 68953583914878518186366340304832958598064874218219724/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^18 + 45824545041834295433712769744286944397242578018686566/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^17 - 247922250186713506717277909419696359376598767653917469/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^16 - 337667261337451243733239314088415420017539824939678536/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^15 + 610591124058864943269545517386513146785505003198081884/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^14 + 858807239693686114617224943873011289517477930341222869/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^13 - 1751710731010824099531558542171426375192206083908015494/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^12 - 431417271071701707009395754702359416170073054976732574/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^11 + 2116682707032059467336055735030858958209592168666824240/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^10 + 208111654631687417368006576671596445553029622820342626/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^9 - 1267268165885469680836051003848831188308489797231143384/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^8 - 536133567705973932154921237453127921143325036942204822/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^7 + 452937181746588809069929407276653014138839702580770431/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^6 + 333475694075640104446868510474787193261356524306838253/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^5 - 89002011019723933007915646978629628286420704611336823/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^4 - 47853333207153023074569035485867240786196419656127345/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^3 + 10229243213458436915149592223148255602608496653512891/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^2 - 790583759632123504689230234188064433831555043527834/178020115582893\ 1722466323912129407866219954478420111*c_0101_5 - 475355951347246241678949719444658171406724454432204/178020115582893\ 1722466323912129407866219954478420111, c_0011_6 + 113085453759963762215838145512419333134295695796924/17802011\ 55828931722466323912129407866219954478420111*c_0101_5^23 + 1516328350047241888710411871947145597878024789243078/17802011558289\ 31722466323912129407866219954478420111*c_0101_5^22 + 7726161640226321671595651711658675410545255592113734/17802011558289\ 31722466323912129407866219954478420111*c_0101_5^21 + 14229446196526556028824364861587149402888787072582421/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^20 - 26917992508799625156046013037407254125180284706954709/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^19 - 160795329864816613793054451255804646073721702408039934/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^18 - 119988422370281173145234088036182341486914746956427639/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^17 + 550609044067839375173462269486967834635185527079312652/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^16 + 800115645000619455219053630125793009252643002195735031/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^15 - 1317231147490256352256631388256669359097510534765600918/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^14 - 1965410838489988739811602652089602840276304279829480565/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^13 + 3852107374950804392071720351156750026426985925823087692/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^12 + 952938866923505967856751663820353131051582880531900929/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^11 - 4475845452641383954347651439539822967715510071304345895/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^10 - 539661070934510253439831142364819034962874133191903637/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^9 + 2446260070975677459636757026314577311077116484930223933/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^8 + 1214673413012902558884302685464098715385564182035625941/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^7 - 776907443815232465064350286134228603249949674500699771/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^6 - 630529746985391643707025681046880634570197266148699569/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^5 + 139327292239799316019507006106476069221278732350352638/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^4 + 56385169000678421423417696652454251186164882623253400/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^3 - 21723684327339084304451777589167867533693084226737418/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^2 + 2714254004791012258997365451163034542357539417175100/17802011558289\ 31722466323912129407866219954478420111*c_0101_5 + 822293388450310337073763929065037695546457242431650/178020115582893\ 1722466323912129407866219954478420111, c_0101_0 - 297020909873220511161717743970863418987916813855156/17802011\ 55828931722466323912129407866219954478420111*c_0101_5^23 - 3939458040479312467790594329106418215092752618934470/17802011558289\ 31722466323912129407866219954478420111*c_0101_5^22 - 19736630875850008194496396566857381870781350122019689/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^21 - 34727021992306944904872974515703951692693772951665450/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^20 + 74597839228239279359073946979685401744776012592341908/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^19 + 409155956464216611348101517857830072303447031467750351/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^18 + 258245286108189414983756609688927884060366007435977368/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^17 - 1463528042508464981829448298286445515131550894177411691/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^16 - 1870224421982106252418817439430666315622086338126663017/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^15 + 3675676787256087697125271618477458416562676605319952623/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^14 + 4549440185395298543311834229678097514119834530732797042/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^13 - 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152494328734020707107283307766841491018173011742052554/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^18 - 89231688715316865301107095960027788644143129499152163/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^17 + 560946818955100285120775066019827335478538917120117170/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^16 + 692995587926121195231516613465090157918658369048048313/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^15 - 1426975868699955732832787889083155736117174525944824329/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^14 - 1723105943924704947105184375891916430520709541755933801/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^13 + 4091490915063446154854317395029019029809666439785432633/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^12 + 352283350447665984908230160776571089327704800612416032/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^11 - 4567414009561099589472407007778216876680744336818293649/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^10 + 126219840630095159467010137860089081466386923189541875/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^9 + 2566246962461372086436654955822687299000573520869174900/17802011558\ 28931722466323912129407866219954478420111*c_0101_5^8 + 853567105969866200660526658594666130218364026352282119/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^7 - 988410763614450567032494026546666232347266293706112088/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^6 - 538301012252914169723438615314345563659328177546670853/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^5 + 228774051785337989502004401396017358378496428335233213/178020115582\ 8931722466323912129407866219954478420111*c_0101_5^4 + 48353982232729190476965747664133413388330740710543909/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^3 - 32278173144536278196060591002311433011561235556543675/1780201155828\ 931722466323912129407866219954478420111*c_0101_5^2 + 5397348915954561787606121681109094225347600613049100/17802011558289\ 31722466323912129407866219954478420111*c_0101_5 + 1689572159098048498191814012880870328563390228417976/17802011558289\ 31722466323912129407866219954478420111, c_0101_5^24 + 13*c_0101_5^23 + 63*c_0101_5^22 + 100*c_0101_5^21 - 279*c_0101_5^20 - 1306*c_0101_5^19 - 517*c_0101_5^18 + 5095*c_0101_5^17 + 4953*c_0101_5^16 - 13824*c_0101_5^15 - 11751*c_0101_5^14 + 39344*c_0101_5^13 - 7416*c_0101_5^12 - 37634*c_0101_5^11 + 10650*c_0101_5^10 + 18949*c_0101_5^9 + 2632*c_0101_5^8 - 9331*c_0101_5^7 - 1977*c_0101_5^6 + 2619*c_0101_5^5 - 224*c_0101_5^4 - 214*c_0101_5^3 + 71*c_0101_5^2 - 3*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB