Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 1427425321] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2967 geometric_solution 6.15048247 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 -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 1 0 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.002658574490 0.792040829616 3 0 4 2 0132 0132 0132 2031 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 -1 1 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 0.642219402714 0.653760146618 5 1 3 0 0132 1302 2310 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 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 0.642219402714 0.653760146618 1 2 6 6 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.938455351884 0.709591417528 5 5 6 1 3201 0213 3012 0132 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 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 0.658964496529 0.316470270558 2 6 4 4 0132 1230 0213 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 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 0.658964496529 0.316470270558 3 4 5 3 3201 1230 3012 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931776978367 1.109120179121 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0011_4']})} 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_2, c_0011_4, c_0011_6, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 651966148614704452584374706953/2836705721908125866546640668638*c_01\ 01_3^17 + 403566788768762845349214048775/14183528609540629332733203\ 34319*c_0101_3^16 - 9938485248983251303502997263009/283670572190812\ 5866546640668638*c_0101_3^15 - 24683386607491458542535828963405/283\ 6705721908125866546640668638*c_0101_3^14 + 9090554634290929747265471934705/2836705721908125866546640668638*c_0\ 101_3^13 + 72978989190645612543561873964071/14183528609540629332733\ 20334319*c_0101_3^12 + 34753668487114469694586756660313/14183528609\ 54062933273320334319*c_0101_3^11 + 14508648969362513533223316765171/1418352860954062933273320334319*c_\ 0101_3^10 - 193580450027338659272682429956680/141835286095406293327\ 3320334319*c_0101_3^9 - 245233108703414712376759566015599/283670572\ 1908125866546640668638*c_0101_3^8 - 184967059214799005647959685333431/2836705721908125866546640668638*c\ _0101_3^7 - 19811750752580696405688907569021/2836705721908125866546\ 640668638*c_0101_3^6 + 91280277747296934370921211816139/14183528609\ 54062933273320334319*c_0101_3^5 - 20200252760887962988342933161207/\ 2836705721908125866546640668638*c_0101_3^4 + 452356300940011469356361712563938/1418352860954062933273320334319*c\ _0101_3^3 + 448105538340363053469021345501615/283670572190812586654\ 6640668638*c_0101_3^2 + 61766328739396202491123323414124/1418352860\ 954062933273320334319*c_0101_3 + 143382604151644679552524047556720/\ 1418352860954062933273320334319, c_0011_0 - 1, c_0011_2 + 1979465116392246592833791359/298600602306118512268067438804*\ c_0101_3^17 + 2714065678853053910166349837/149300301153059256134033\ 719402*c_0101_3^16 - 5104100454137833844715024257/74650150576529628\ 067016859701*c_0101_3^15 - 102147553069205290363967124289/298600602\ 306118512268067438804*c_0101_3^14 - 71894141934593955186249048223/149300301153059256134033719402*c_0101\ _3^13 + 156926712467102345195661367165/2986006023061185122680674388\ 04*c_0101_3^12 + 365773676338954030964019372611/2986006023061185122\ 68067438804*c_0101_3^11 + 382973739853813685961288558473/1493003011\ 53059256134033719402*c_0101_3^10 + 26490981873576452009736750920/74650150576529628067016859701*c_0101_\ 3^9 - 46872929318526175256716185773/298600602306118512268067438804*\ c_0101_3^8 - 609005866397661968510801772453/29860060230611851226806\ 7438804*c_0101_3^7 - 155024032323427248941158903086/746501505765296\ 28067016859701*c_0101_3^6 - 753660137045199541576528910989/29860060\ 2306118512268067438804*c_0101_3^5 - 713086054906013574615985542521/149300301153059256134033719402*c_010\ 1_3^4 - 58845812383856422017566652091/14930030115305925613403371940\ 2*c_0101_3^3 - 37674116907874065545711708585/1493003011530592561340\ 33719402*c_0101_3^2 - 17059385112229684694938029310/746501505765296\ 28067016859701*c_0101_3 - 28510752498944825457784815163/29860060230\ 6118512268067438804, c_0011_4 - 1501398908885937071516246371/597201204612237024536134877608*\ c_0101_3^17 - 900043987092222146375290254/7465015057652962806701685\ 9701*c_0101_3^16 + 3988510142745962360751556975/2986006023061185122\ 68067438804*c_0101_3^15 + 110054649962044949198138024155/5972012046\ 12237024536134877608*c_0101_3^14 + 127137951331681027625457060837/298600602306118512268067438804*c_010\ 1_3^13 + 77411884155745272643293826971/5972012046122370245361348776\ 08*c_0101_3^12 - 505229114317906763908350665217/5972012046122370245\ 36134877608*c_0101_3^11 - 495565789570443193171609517997/2986006023\ 06118512268067438804*c_0101_3^10 - 164340228115417514530784843026/74650150576529628067016859701*c_0101\ _3^9 - 26904499263703168943521274963/597201204612237024536134877608\ *c_0101_3^8 + 98776269375120791864133372655/59720120461223702453613\ 4877608*c_0101_3^7 + 206691829714016128224896992342/746501505765296\ 28067016859701*c_0101_3^6 + 1265686650995877897964358157305/5972012\ 04612237024536134877608*c_0101_3^5 + 614801694711471275898953015469/149300301153059256134033719402*c_010\ 1_3^4 + 579617298663038832533583291089/1493003011530592561340337194\ 02*c_0101_3^3 + 4493466866667792873379874381/7465015057652962806701\ 6859701*c_0101_3^2 + 395073418807081419389977801767/298600602306118\ 512268067438804*c_0101_3 - 457536105082687161799893329267/597201204\ 612237024536134877608, c_0011_6 - 674271681621250937864200959/74650150576529628067016859701*c_\ 0101_3^17 - 3880183435717386760834953397/14930030115305925613403371\ 9402*c_0101_3^16 + 13780977496438580559418935601/149300301153059256\ 134033719402*c_0101_3^15 + 72284862836784524861926886275/1493003011\ 53059256134033719402*c_0101_3^14 + 51546333189873155424782317110/74650150576529628067016859701*c_0101_\ 3^13 - 55152861355352157314881754828/74650150576529628067016859701*\ c_0101_3^12 - 280994631893844889379751345977/1493003011530592561340\ 33719402*c_0101_3^11 - 259265788387867800538156714329/7465015057652\ 9628067016859701*c_0101_3^10 - 52697262001854571761905190851/746501\ 50576529628067016859701*c_0101_3^9 + 63298899686426267158940177352/74650150576529628067016859701*c_0101_\ 3^8 + 380298560221391598249699672423/149300301153059256134033719402\ *c_0101_3^7 + 250968607388767201990659434200/7465015057652962806701\ 6859701*c_0101_3^6 + 237072885766298475279549660704/746501505765296\ 28067016859701*c_0101_3^5 + 1045765021960202604626084126893/1493003\ 01153059256134033719402*c_0101_3^4 + 227554876637712364259918454631/149300301153059256134033719402*c_010\ 1_3^3 + 24908736185970949978688894513/14930030115305925613403371940\ 2*c_0101_3^2 + 59197791757948878491845771267/1493003011530592561340\ 33719402*c_0101_3 - 145475822546842944527048454591/1493003011530592\ 56134033719402, c_0101_1 + 6124038495743141014817153921/597201204612237024536134877608*\ c_0101_3^17 + 1952250989477561656036540648/746501505765296280670168\ 59701*c_0101_3^16 - 34077760090677465876954471041/29860060230611851\ 2268067438804*c_0101_3^15 - 306077580053035471952842666865/59720120\ 4612237024536134877608*c_0101_3^14 - 179589637805945174508602584031/298600602306118512268067438804*c_010\ 1_3^13 + 631573233767284441885618721567/597201204612237024536134877\ 608*c_0101_3^12 + 1031468456816666810420001177107/59720120461223702\ 4536134877608*c_0101_3^11 + 932319231681361189362238906099/29860060\ 2306118512268067438804*c_0101_3^10 - 17112113842580066468911619405/74650150576529628067016859701*c_0101_\ 3^9 - 385955182641291193319308678847/597201204612237024536134877608\ *c_0101_3^8 - 1161512121757438740476223760245/597201204612237024536\ 134877608*c_0101_3^7 - 204192076517132090462846351376/7465015057652\ 9628067016859701*c_0101_3^6 - 1779863590059838246326839992523/59720\ 1204612237024536134877608*c_0101_3^5 - 1066889437243295577677240546583/149300301153059256134033719402*c_01\ 01_3^4 + 72538854244113553617383093305/1493003011530592561340337194\ 02*c_0101_3^3 + 27071714224034340351841041447/746501505765296280670\ 16859701*c_0101_3^2 - 593771688575913820525008225269/29860060230611\ 8512268067438804*c_0101_3 + 439342778682528738884040153617/59720120\ 4612237024536134877608, c_0101_2 + 6124038495743141014817153921/597201204612237024536134877608*\ c_0101_3^17 + 1952250989477561656036540648/746501505765296280670168\ 59701*c_0101_3^16 - 34077760090677465876954471041/29860060230611851\ 2268067438804*c_0101_3^15 - 306077580053035471952842666865/59720120\ 4612237024536134877608*c_0101_3^14 - 179589637805945174508602584031/298600602306118512268067438804*c_010\ 1_3^13 + 631573233767284441885618721567/597201204612237024536134877\ 608*c_0101_3^12 + 1031468456816666810420001177107/59720120461223702\ 4536134877608*c_0101_3^11 + 932319231681361189362238906099/29860060\ 2306118512268067438804*c_0101_3^10 - 17112113842580066468911619405/74650150576529628067016859701*c_0101_\ 3^9 - 385955182641291193319308678847/597201204612237024536134877608\ *c_0101_3^8 - 1161512121757438740476223760245/597201204612237024536\ 134877608*c_0101_3^7 - 204192076517132090462846351376/7465015057652\ 9628067016859701*c_0101_3^6 - 1779863590059838246326839992523/59720\ 1204612237024536134877608*c_0101_3^5 - 1066889437243295577677240546583/149300301153059256134033719402*c_01\ 01_3^4 + 72538854244113553617383093305/1493003011530592561340337194\ 02*c_0101_3^3 + 27071714224034340351841041447/746501505765296280670\ 16859701*c_0101_3^2 - 593771688575913820525008225269/29860060230611\ 8512268067438804*c_0101_3 + 439342778682528738884040153617/59720120\ 4612237024536134877608, c_0101_3^18 + 3*c_0101_3^17 - 10*c_0101_3^16 - 55*c_0101_3^15 - 81*c_0101_3^14 + 77*c_0101_3^13 + 216*c_0101_3^12 + 383*c_0101_3^11 + 122*c_0101_3^10 - 87*c_0101_3^9 - 226*c_0101_3^8 - 407*c_0101_3^7 - 387*c_0101_3^6 - 845*c_0101_3^5 - 240*c_0101_3^4 + 68*c_0101_3^3 - 162*c_0101_3^2 + 107*c_0101_3 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB