Magma V2.19-8 Tue Aug 20 2013 16:16:38 on localhost [Seed = 2934911604] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0926 geometric_solution 4.82205093 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585282065679 0.211907706391 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904156567161 0.335007385405 1 3 3 4 0132 0213 3012 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700550585950 0.715841570549 4 2 2 1 1023 1230 0213 0132 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 1 0 -1 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700550585950 0.715841570549 5 3 2 5 0132 1023 0132 3201 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 0 1 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474653560498 0.667756721235 4 4 6 6 0132 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.235079054270 1.061816375723 5 6 6 5 3201 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.620142750641 0.139817391311 ==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' : 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' : 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' : negation(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_6'], 'c_1100_4' : d['c_0011_3'], '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_3'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], '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_6'], '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' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), '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_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 1432510801052952130315701/304993291015746514319968*c_0101_0*c_0101_\ 5^14 + 489307449511183685531693/304993291015746514319968*c_0101_0*c\ _0101_5^13 - 24540846666935946069304457/152496645507873257159984*c_\ 0101_0*c_0101_5^12 + 108145557425876078336082089/304993291015746514\ 319968*c_0101_0*c_0101_5^11 - 4461911540076382474107493/76248322753\ 936628579992*c_0101_0*c_0101_5^10 + 6551580802999526435358045/152496645507873257159984*c_0101_0*c_0101_\ 5^9 - 1300045048391738700612945055/304993291015746514319968*c_0101_\ 0*c_0101_5^8 + 2038158210097053480511505839/30499329101574651431996\ 8*c_0101_0*c_0101_5^7 + 661170022892655623421853361/304993291015746\ 514319968*c_0101_0*c_0101_5^6 - 204276367563269701103742819/3812416\ 1376968314289996*c_0101_0*c_0101_5^5 + 56364465397370976879074509/152496645507873257159984*c_0101_0*c_0101\ _5^4 + 24848777088553267496904759/76248322753936628579992*c_0101_0*\ c_0101_5^3 - 66193184710653307114499247/152496645507873257159984*c_\ 0101_0*c_0101_5^2 - 18447289483135446984581043/30499329101574651431\ 9968*c_0101_0*c_0101_5 + 10226647248926784739657259/304993291015746\ 514319968*c_0101_0, c_0011_0 - 1, c_0011_1 - 764048302669941191751/38124161376968314289996*c_0101_5^14 - 1070311185035862123609/38124161376968314289996*c_0101_5^13 + 25724436716310151929951/38124161376968314289996*c_0101_5^12 - 7531577839567810257447/9531040344242078572499*c_0101_5^11 - 45599815640672928452399/38124161376968314289996*c_0101_5^10 - 1609977847235496654249/9531040344242078572499*c_0101_5^9 + 170394405026041038911528/9531040344242078572499*c_0101_5^8 - 355844588500533787540353/38124161376968314289996*c_0101_5^7 - 1345497424889563855600929/38124161376968314289996*c_0101_5^6 + 348811054767761312404375/38124161376968314289996*c_0101_5^5 + 668098222378611919681977/38124161376968314289996*c_0101_5^4 - 10936704549430464422137/38124161376968314289996*c_0101_5^3 + 75367935240235019725231/38124161376968314289996*c_0101_5^2 + 28887913489899986638220/9531040344242078572499*c_0101_5 + 2959417352431838885193/9531040344242078572499, c_0011_3 + 647742913405493864672/9531040344242078572499*c_0101_0*c_0101\ _5^14 + 1447500977468175977209/38124161376968314289996*c_0101_0*c_0\ 101_5^13 - 88708986941123269492989/38124161376968314289996*c_0101_0\ *c_0101_5^12 + 176580212761470007954619/38124161376968314289996*c_0\ 101_0*c_0101_5^11 + 7363790013884489178557/19062080688484157144998*\ c_0101_0*c_0101_5^10 - 2892995629513858529317/381241613769683142899\ 96*c_0101_0*c_0101_5^9 - 581255626985810702692150/95310403442420785\ 72499*c_0101_0*c_0101_5^8 + 1586959572593885851190209/1906208068848\ 4157144998*c_0101_0*c_0101_5^7 + 2119458855801742547042681/38124161\ 376968314289996*c_0101_0*c_0101_5^6 - 3145549128811168752092787/38124161376968314289996*c_0101_0*c_0101_5\ ^5 - 142279301858462228669423/38124161376968314289996*c_0101_0*c_01\ 01_5^4 + 531580289083458108230169/38124161376968314289996*c_0101_0*\ c_0101_5^3 - 409095612177525714968765/38124161376968314289996*c_010\ 1_0*c_0101_5^2 - 149349156866704050164995/38124161376968314289996*c\ _0101_0*c_0101_5 + 12980959641234489893381/19062080688484157144998*\ c_0101_0, c_0011_6 - 2442014847242084991869/38124161376968314289996*c_0101_0*c_01\ 01_5^14 - 1404544333141517472333/38124161376968314289996*c_0101_0*c\ _0101_5^13 + 83430040158594670216759/38124161376968314289996*c_0101\ _0*c_0101_5^12 - 41199873509763912983116/9531040344242078572499*c_0\ 101_0*c_0101_5^11 - 11060021882543277982089/38124161376968314289996\ *c_0101_0*c_0101_5^10 - 4861449359286191399517/95310403442420785724\ 99*c_0101_0*c_0101_5^9 + 1106587966056376049249013/1906208068848415\ 7144998*c_0101_0*c_0101_5^8 - 2961439823526952373794303/38124161376\ 968314289996*c_0101_0*c_0101_5^7 - 1889200007223711171308505/38124161376968314289996*c_0101_0*c_0101_5\ ^6 + 2432354469878042335546035/38124161376968314289996*c_0101_0*c_0\ 101_5^5 + 469624171951647680812311/38124161376968314289996*c_0101_0\ *c_0101_5^4 - 266300615778315039660081/38124161376968314289996*c_01\ 01_0*c_0101_5^3 + 290914944684587289155397/38124161376968314289996*\ c_0101_0*c_0101_5^2 + 62262870841707577495503/190620806884841571449\ 98*c_0101_0*c_0101_5 - 6012657939515616298889/190620806884841571449\ 98*c_0101_0, c_0101_0^2 + 764048302669941191751/38124161376968314289996*c_0101_5^14 + 1070311185035862123609/38124161376968314289996*c_0101_5^13 - 25724436716310151929951/38124161376968314289996*c_0101_5^12 + 7531577839567810257447/9531040344242078572499*c_0101_5^11 + 45599815640672928452399/38124161376968314289996*c_0101_5^10 + 1609977847235496654249/9531040344242078572499*c_0101_5^9 - 170394405026041038911528/9531040344242078572499*c_0101_5^8 + 355844588500533787540353/38124161376968314289996*c_0101_5^7 + 1345497424889563855600929/38124161376968314289996*c_0101_5^6 - 348811054767761312404375/38124161376968314289996*c_0101_5^5 - 668098222378611919681977/38124161376968314289996*c_0101_5^4 + 10936704549430464422137/38124161376968314289996*c_0101_5^3 - 75367935240235019725231/38124161376968314289996*c_0101_5^2 - 28887913489899986638220/9531040344242078572499*c_0101_5 - 12490457696673917457692/9531040344242078572499, c_0101_1 - 269416189871123031335/38124161376968314289996*c_0101_5^14 - 270989252301939521659/19062080688484157144998*c_0101_5^13 + 2259637647534241258276/9531040344242078572499*c_0101_5^12 - 5020508266039144977473/38124161376968314289996*c_0101_5^11 - 29320908590567299012573/38124161376968314289996*c_0101_5^10 + 3103314701364437208843/38124161376968314289996*c_0101_5^9 + 117314411805842985081417/19062080688484157144998*c_0101_5^8 + 25804289791046053510029/38124161376968314289996*c_0101_5^7 - 365353442457710054428869/19062080688484157144998*c_0101_5^6 + 61092638576048570490741/19062080688484157144998*c_0101_5^5 + 179415571080966022485103/19062080688484157144998*c_0101_5^4 - 22511295526493550650403/19062080688484157144998*c_0101_5^3 + 34401242932627131641671/19062080688484157144998*c_0101_5^2 + 53477841212957191636019/38124161376968314289996*c_0101_5 + 5028367174020683660027/9531040344242078572499, c_0101_5^15 + c_0101_5^14 - 34*c_0101_5^13 + 53*c_0101_5^12 + 36*c_0101_5^11 + 2*c_0101_5^10 - 899*c_0101_5^9 + 827*c_0101_5^8 + 1365*c_0101_5^7 - 832*c_0101_5^6 - 606*c_0101_5^5 + 140*c_0101_5^4 - 70*c_0101_5^3 - 119*c_0101_5^2 - 9*c_0101_5 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB