Magma V2.19-8 Wed Aug 21 2013 01:05:04 on localhost [Seed = 3701130308] Type ? for help. Type -D to quit. Loading file "L14n25008__sl2_c0.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' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : 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_12' : 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' : 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'], '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' : 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' : 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: 17 Groebner basis: [ t - 5773973349442263558233970892752606/33605054617210502454743671403037\ 5*c_1001_2^16 + 17665616000194707477641697181991373/672101092344210\ 049094873428060750*c_1001_2^15 + 2655288852804343045674558585707992\ 9/672101092344210049094873428060750*c_1001_2^14 - 11334786247893080113126852525595081/3360505461721050245474367140303\ 75*c_1001_2^13 + 6545515683066051870631995034914313/336050546172105\ 024547436714030375*c_1001_2^12 - 1534267659069534980055078265127027\ 6/67210109234421004909487342806075*c_1001_2^11 - 10435654389258954481181023516419632/3360505461721050245474367140303\ 75*c_1001_2^10 + 51844311495424455872452834205823931/96014441763458\ 578442124775437250*c_1001_2^9 - 27667335319849077660395181571339963\ /134420218468842009818974685612150*c_1001_2^8 - 38886778589054284175893296366871327/6721010923442100490948734280607\ 50*c_1001_2^7 - 45574198165631756083150343975402526/336050546172105\ 024547436714030375*c_1001_2^6 - 42161854212875841427520692784769578\ 4/336050546172105024547436714030375*c_1001_2^5 + 99666228793125558828918257543420777/6721010923442100490948734280607\ 5*c_1001_2^4 + 34742334218300522942918429098662726/3360505461721050\ 24547436714030375*c_1001_2^3 + 31208578954734290357791606665218007/\ 336050546172105024547436714030375*c_1001_2^2 + 34693798202469307255195430003860197/6721010923442100490948734280607\ 50*c_1001_2 - 174829579887792031607278010694890926/3360505461721050\ 24547436714030375, c_0011_0 - 1, c_0011_10 - 19898801955717640675326/1019177740296935002079179*c_1001_2^\ 16 + 45094040956513050778897/2038355480593870004158358*c_1001_2^15 + 25494414496779120200553/1019177740296935002079179*c_1001_2^14 + 22554475987841004442121/2038355480593870004158358*c_1001_2^13 + 58515786395844979209037/1019177740296935002079179*c_1001_2^12 - 464436505956069402206125/2038355480593870004158358*c_1001_2^11 - 46539827977162097417949/2038355480593870004158358*c_1001_2^10 + 184115605586416911018298/1019177740296935002079179*c_1001_2^9 - 181853161876921968207329/1019177740296935002079179*c_1001_2^8 + 306268691063640611573544/1019177740296935002079179*c_1001_2^7 - 357321608543038012139639/1019177740296935002079179*c_1001_2^6 - 1903904379174704179838229/2038355480593870004158358*c_1001_2^5 + 670454288705074132731792/1019177740296935002079179*c_1001_2^4 - 1627779724499387031280785/1019177740296935002079179*c_1001_2^3 + 2816936114252382906096435/2038355480593870004158358*c_1001_2^2 - 1506779739865461789780713/1019177740296935002079179*c_1001_2 + 1704158023697935057415747/2038355480593870004158358, c_0011_11 + 442148743060288045284/78398287715148846313783*c_1001_2^16 + 392316442565097403045/78398287715148846313783*c_1001_2^15 - 2913545153122865203191/78398287715148846313783*c_1001_2^14 - 657269090591373971857/78398287715148846313783*c_1001_2^13 + 2327117670622914247063/78398287715148846313783*c_1001_2^12 + 3130306529904585497117/78398287715148846313783*c_1001_2^11 + 12731086125247448112518/78398287715148846313783*c_1001_2^10 - 17759065601144745616904/78398287715148846313783*c_1001_2^9 - 20691533333517145419866/78398287715148846313783*c_1001_2^8 + 33727228007394192899878/78398287715148846313783*c_1001_2^7 + 6349851956757166697259/78398287715148846313783*c_1001_2^6 + 21530005053675879814715/78398287715148846313783*c_1001_2^5 + 5373977136779132527782/78398287715148846313783*c_1001_2^4 - 83727980276509082595105/78398287715148846313783*c_1001_2^3 + 44209291793562857551448/78398287715148846313783*c_1001_2^2 - 6382122281085383900693/78398287715148846313783*c_1001_2 + 13333061555964414226651/78398287715148846313783, c_0011_12 - 2449218037675872390442/1019177740296935002079179*c_1001_2^1\ 6 - 3330315098544646987093/2038355480593870004158358*c_1001_2^15 + 5967108676815882652177/1019177740296935002079179*c_1001_2^14 - 513271285161926812735/2038355480593870004158358*c_1001_2^13 + 22139892215239501785336/1019177740296935002079179*c_1001_2^12 + 8814229824778698212059/2038355480593870004158358*c_1001_2^11 - 76308765247824438378013/2038355480593870004158358*c_1001_2^10 + 30557172671504782299559/1019177740296935002079179*c_1001_2^9 - 129257856305862108431797/1019177740296935002079179*c_1001_2^8 - 69545249852377706886318/1019177740296935002079179*c_1001_2^7 + 140249463165685702223153/1019177740296935002079179*c_1001_2^6 - 566494105109617889040417/2038355480593870004158358*c_1001_2^5 + 105636707321963808863051/1019177740296935002079179*c_1001_2^4 - 258567122121797157044261/1019177740296935002079179*c_1001_2^3 - 1542422156020242010468783/2038355480593870004158358*c_1001_2^2 + 246131518611093091389266/1019177740296935002079179*c_1001_2 - 949736073796753195506383/2038355480593870004158358, c_0011_8 - 23935633623595037521404/1019177740296935002079179*c_1001_2^1\ 6 + 3167546696321196434985/1019177740296935002079179*c_1001_2^15 + 70698656384216515643212/1019177740296935002079179*c_1001_2^14 + 46510046014297029511010/1019177740296935002079179*c_1001_2^13 + 63073071385412198575610/1019177740296935002079179*c_1001_2^12 - 233052096319186786799928/1019177740296935002079179*c_1001_2^11 - 412073999150492636490448/1019177740296935002079179*c_1001_2^10 + 255526274655996976151497/1019177740296935002079179*c_1001_2^9 + 272130776539213769601587/1019177740296935002079179*c_1001_2^8 + 176945483285116707825658/1019177740296935002079179*c_1001_2^7 - 77948023790095442933306/1019177740296935002079179*c_1001_2^6 - 1849169558581512694654821/1019177740296935002079179*c_1001_2^5 - 714667859080417111780338/1019177740296935002079179*c_1001_2^4 + 213087390688807390346934/1019177740296935002079179*c_1001_2^3 + 1033254008560523632373484/1019177740296935002079179*c_1001_2^2 + 875087029964066400207763/1019177740296935002079179*c_1001_2 + 75356103120479997844474/1019177740296935002079179, c_0101_0 - 1, c_0101_10 - 31841699457832952498748/1019177740296935002079179*c_1001_2^\ 16 + 9935231124401600945321/1019177740296935002079179*c_1001_2^15 + 66902343726373100375756/1019177740296935002079179*c_1001_2^14 + 85275726627456504689585/1019177740296935002079179*c_1001_2^13 + 119462811986379986204150/1019177740296935002079179*c_1001_2^12 - 371443089008735522115672/1019177740296935002079179*c_1001_2^11 - 439582653466127273734959/1019177740296935002079179*c_1001_2^10 + 167674693554051317311263/1019177740296935002079179*c_1001_2^9 + 228821701305626654118892/1019177740296935002079179*c_1001_2^8 + 694027996993033292629089/1019177740296935002079179*c_1001_2^7 - 328524362916226324996761/1019177740296935002079179*c_1001_2^6 - 2438171239305456289829330/1019177740296935002079179*c_1001_2^5 - 326799541400451227227565/1019177740296935002079179*c_1001_2^4 - 1053714321993756487605743/1019177740296935002079179*c_1001_2^3 + 2054180985336733137436086/1019177740296935002079179*c_1001_2^2 + 802671209482413292179066/1019177740296935002079179*c_1001_2 + 739266007778648047541815/1019177740296935002079179, c_0101_11 + 6313440025359015107278/1019177740296935002079179*c_1001_2^1\ 6 - 347592600781566378505/2038355480593870004158358*c_1001_2^15 - 177180406458914681949/1019177740296935002079179*c_1001_2^14 - 55300990977096763507745/2038355480593870004158358*c_1001_2^13 - 64538703366187127362239/1019177740296935002079179*c_1001_2^12 + 60051526968057004274685/2038355480593870004158358*c_1001_2^11 + 202280451280295026646771/2038355480593870004158358*c_1001_2^10 + 182126839512712715999538/1019177740296935002079179*c_1001_2^9 + 71301898131837017368599/1019177740296935002079179*c_1001_2^8 - 305195939358240034424809/1019177740296935002079179*c_1001_2^7 - 129410885592822524229339/1019177740296935002079179*c_1001_2^6 + 729839198216418717776899/2038355480593870004158358*c_1001_2^5 + 680912222477974012468758/1019177740296935002079179*c_1001_2^4 + 993453091553117004139627/1019177740296935002079179*c_1001_2^3 - 998663684265621757717019/2038355480593870004158358*c_1001_2^2 - 133531653512372081436266/1019177740296935002079179*c_1001_2 - 1653766420828979411070439/2038355480593870004158358, c_0101_12 - 17622193598236022414126/1019177740296935002079179*c_1001_2^\ 16 + 5987500791860826491465/2038355480593870004158358*c_1001_2^15 + 70521475977757600961263/1019177740296935002079179*c_1001_2^14 + 37719101051497295514275/2038355480593870004158358*c_1001_2^13 - 1465631980774928786629/1019177740296935002079179*c_1001_2^12 - 406052665670316569325171/2038355480593870004158358*c_1001_2^11 - 621867547020690246334125/2038355480593870004158358*c_1001_2^10 + 437653114168709692151035/1019177740296935002079179*c_1001_2^9 + 343432674671050786970186/1019177740296935002079179*c_1001_2^8 - 128250456073123326599151/1019177740296935002079179*c_1001_2^7 - 207358909382917967162645/1019177740296935002079179*c_1001_2^6 - 2968499918946606671532743/2038355480593870004158358*c_1001_2^5 - 33755636602443099311580/1019177740296935002079179*c_1001_2^4 + 1206540482241924394486561/1019177740296935002079179*c_1001_2^3 + 1067844332855425507029949/2038355480593870004158358*c_1001_2^2 + 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