Magma V2.19-8 Tue Aug 20 2013 16:16:31 on localhost [Seed = 408519935] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0799 geometric_solution 4.73895581 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.472264711435 0.397259559317 0 2 3 0 3201 0132 0132 0132 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 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 0 0 0 0 0.921322113521 0.369820833833 3 1 3 4 2103 0132 1302 0132 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 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 0.705130440904 0.679886886851 2 4 2 1 2031 1023 2103 0132 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 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 0.705130440904 0.679886886851 3 5 2 5 1023 0132 0132 1023 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 0 0 0 0 0.776158104038 0.794487826461 6 4 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657608619860 0.171613364305 5 6 5 6 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619229943014 0.055065161044 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_1']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], '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_3, c_0101_0, c_0101_5, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 198617793539513039751288357/16749976583144027774193328*c_0110_4^19 - 180442921135549425952748451/2093747072893003471774166*c_0110_4^18 - 500644455507959807064862193/2392853797592003967741904*c_0110_4^17 - 1947700572180434067842882579/16749976583144027774193328*c_0110_4^16 + 14886541153497192336931313459/16749976583144027774193328*c_0110_4\ ^15 + 34323310712154251293716375747/16749976583144027774193328*c_01\ 10_4^14 - 17876368054237179831444274177/16749976583144027774193328*\ c_0110_4^13 - 66398599227173068381447643/39786167655924056470768*c_\ 0110_4^12 + 19903489087050644813843138045/1674997658314402777419332\ 8*c_0110_4^11 + 50373079406433654262414593391/167499765831440277741\ 93328*c_0110_4^10 - 29415387303876507296639806351/16749976583144027\ 774193328*c_0110_4^9 - 54551341935401099625631435049/83749882915720\ 13887096664*c_0110_4^8 - 7749883791383240990662752833/2093747072893\ 003471774166*c_0110_4^7 + 45151163025988853263424425259/16749976583\ 144027774193328*c_0110_4^6 + 11274998482300405103488267299/23928537\ 97592003967741904*c_0110_4^5 + 1475524570375640939179288475/5982134\ 49398000991935476*c_0110_4^4 - 156222313971571478666423155/10468735\ 36446501735887083*c_0110_4^3 - 17055135536893290170881013401/167499\ 76583144027774193328*c_0110_4^2 - 629503376461857223692766639/11964\ 26898796001983870952*c_0110_4 - 111633783433786438048173273/1046873\ 536446501735887083, c_0011_0 - 1, c_0011_1 + 171131674816671613988245/598213449398000991935476*c_0110_4^1\ 9 + 642193969103693125767325/299106724699000495967738*c_0110_4^18 + 3275763198110775389593539/598213449398000991935476*c_0110_4^17 + 2129688910159364315146649/598213449398000991935476*c_0110_4^16 - 12992080128707174003334589/598213449398000991935476*c_0110_4^15 - 32733254873064488299903553/598213449398000991935476*c_0110_4^14 + 11363803715903764795019847/598213449398000991935476*c_0110_4^13 + 78570688040667910404433/1420934559140144873956*c_0110_4^12 - 17506927034161788344605571/598213449398000991935476*c_0110_4^11 - 50262473247150510841937501/598213449398000991935476*c_0110_4^10 + 20580880758083544446824765/598213449398000991935476*c_0110_4^9 + 26887406663752699523488505/149553362349500247983869*c_0110_4^8 + 16616188952472797593857778/149553362349500247983869*c_0110_4^7 - 43756536810047123277840135/598213449398000991935476*c_0110_4^6 - 80968730644992390736142447/598213449398000991935476*c_0110_4^5 - 20151341607005880085314095/299106724699000495967738*c_0110_4^4 + 1008410993696998775611960/149553362349500247983869*c_0110_4^3 + 17208073974398274040639221/598213449398000991935476*c_0110_4^2 + 2134635179335404862816827/149553362349500247983869*c_0110_4 + 335906563405787774092872/149553362349500247983869, c_0011_3 + 110201297588123447974715/299106724699000495967738*c_0110_4^1\ 9 + 400410263900685642497271/149553362349500247983869*c_0110_4^18 + 1941452482216362039974583/299106724699000495967738*c_0110_4^17 + 1073945235803699693132579/299106724699000495967738*c_0110_4^16 - 8226340042055962625736047/299106724699000495967738*c_0110_4^15 - 18908214523583309155390463/299106724699000495967738*c_0110_4^14 + 10130874588958409187606465/299106724699000495967738*c_0110_4^13 + 35862943250968595947607/710467279570072436978*c_0110_4^12 - 12540560144840073863563601/299106724699000495967738*c_0110_4^11 - 26509591263472918198027631/299106724699000495967738*c_0110_4^10 + 16385245740174028817645725/299106724699000495967738*c_0110_4^9 + 29840351160165017175808481/149553362349500247983869*c_0110_4^8 + 16157859456799580956811245/149553362349500247983869*c_0110_4^7 - 23634356115249014873222821/299106724699000495967738*c_0110_4^6 - 40994691588246032628579149/299106724699000495967738*c_0110_4^5 - 10882958296130378031383013/149553362349500247983869*c_0110_4^4 + 253054567272433189202870/149553362349500247983869*c_0110_4^3 + 8760199319420900340985407/299106724699000495967738*c_0110_4^2 + 2297375237192323934699303/149553362349500247983869*c_0110_4 + 453808860859081853375461/149553362349500247983869, c_0101_0 - 18381623508972790131368/149553362349500247983869*c_0110_4^19 - 269540096714149725650679/299106724699000495967738*c_0110_4^18 - 332222946823427905395556/149553362349500247983869*c_0110_4^17 - 401270544272912435866447/299106724699000495967738*c_0110_4^16 + 2698633310613436011185457/299106724699000495967738*c_0110_4^15 + 6434013271142986048721017/299106724699000495967738*c_0110_4^14 - 2987210860367719029957773/299106724699000495967738*c_0110_4^13 - 11749104343524160679147/710467279570072436978*c_0110_4^12 + 4427980398040276063945647/299106724699000495967738*c_0110_4^11 + 8001109903222521442110525/299106724699000495967738*c_0110_4^10 - 5077402060829284654853997/299106724699000495967738*c_0110_4^9 - 19061826022809483753844169/299106724699000495967738*c_0110_4^8 - 5860456652828126646613396/149553362349500247983869*c_0110_4^7 + 2777276864731635199434986/149553362349500247983869*c_0110_4^6 + 12800472113808520441250129/299106724699000495967738*c_0110_4^5 + 9087756102243231890533029/299106724699000495967738*c_0110_4^4 + 799726187217525034581431/149553362349500247983869*c_0110_4^3 - 1384024009851457669670152/149553362349500247983869*c_0110_4^2 - 1704682449416370084078873/299106724699000495967738*c_0110_4 - 258844878480843412256699/149553362349500247983869, c_0101_5 + 152300484008216896496894/149553362349500247983869*c_0110_4^1\ 9 + 2218909224336128613022085/299106724699000495967738*c_0110_4^18 + 2707778983171253702307349/149553362349500247983869*c_0110_4^17 + 3112401628750226491478317/299106724699000495967738*c_0110_4^16 - 22662039010943467783112091/299106724699000495967738*c_0110_4^15 - 52853639100278756892663511/299106724699000495967738*c_0110_4^14 + 26359080440253883012918491/299106724699000495967738*c_0110_4^13 + 100444169202221696703785/710467279570072436978*c_0110_4^12 - 30511981239335110931806399/299106724699000495967738*c_0110_4^11 - 77153631175632146804279971/299106724699000495967738*c_0110_4^10 + 43590819678832246814203311/299106724699000495967738*c_0110_4^9 + 166346939809013431153462287/299106724699000495967738*c_0110_4^8 + 48451469468529989748208444/149553362349500247983869*c_0110_4^7 - 32648788741483676151836211/149553362349500247983869*c_0110_4^6 - 118865679923594368891733169/299106724699000495967738*c_0110_4^5 - 63708989872225808293916751/299106724699000495967738*c_0110_4^4 + 867537763170001932280288/149553362349500247983869*c_0110_4^3 + 12556479433302072008279373/149553362349500247983869*c_0110_4^2 + 13171067409354902829161271/299106724699000495967738*c_0110_4 + 1441508361174668636577105/149553362349500247983869, c_0101_6 + 544826857949659473823803/598213449398000991935476*c_0110_4^1\ 9 + 1972076149453453284456637/299106724699000495967738*c_0110_4^18 + 9501432113613839081328017/598213449398000991935476*c_0110_4^17 + 5080157114578915381467995/598213449398000991935476*c_0110_4^16 - 40970879809475542002180895/598213449398000991935476*c_0110_4^15 - 93062762532493757683350991/598213449398000991935476*c_0110_4^14 + 51378599629609749466370541/598213449398000991935476*c_0110_4^13 + 177697287172190814387759/1420934559140144873956*c_0110_4^12 - 55795134900831219742559485/598213449398000991935476*c_0110_4^11 - 134606789749478329407847363/598213449398000991935476*c_0110_4^10 + 82859753573887853777695559/598213449398000991935476*c_0110_4^9 + 74546145289440248796548235/149553362349500247983869*c_0110_4^8 + 40721407750756539863788508/149553362349500247983869*c_0110_4^7 - 125040723661117298777318285/598213449398000991935476*c_0110_4^6 - 214209011197607474840418965/598213449398000991935476*c_0110_4^5 - 55027471559693979657055577/299106724699000495967738*c_0110_4^4 + 1887797508890738783156228/149553362349500247983869*c_0110_4^3 + 45146972661023934659662499/598213449398000991935476*c_0110_4^2 + 5650269427577034577037586/149553362349500247983869*c_0110_4 + 1217262120591397655554628/149553362349500247983869, c_0110_4^20 + 8*c_0110_4^19 + 23*c_0110_4^18 + 23*c_0110_4^17 - 67*c_0110_4^16 - 227*c_0110_4^15 - 39*c_0110_4^14 + 199*c_0110_4^13 + 3*c_0110_4^12 - 319*c_0110_4^11 - 41*c_0110_4^10 + 646*c_0110_4^9 + 716*c_0110_4^8 + 25*c_0110_4^7 - 545*c_0110_4^6 - 504*c_0110_4^5 - 156*c_0110_4^4 + 85*c_0110_4^3 + 106*c_0110_4^2 + 44*c_0110_4 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB