Magma V2.19-8 Tue Aug 20 2013 23:39:23 on localhost [Seed = 54880092] Type ? for help. Type -D to quit. Loading file "K13n3371__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3371 geometric_solution 10.37313629 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 -2 1 1 0 0 2 -2 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446668975362 0.718274841358 0 5 6 2 0132 0132 0132 2103 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 0 0 0 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507690775665 0.787277702340 7 0 6 1 0132 0132 3012 2103 0 0 0 0 0 -1 0 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 2 0 -2 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 0 0 0 0.729368450702 0.977102400316 8 5 9 0 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 -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 0 -1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412731454153 0.697469116729 10 7 0 5 0132 2310 0132 2103 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 0 0 0 0 0 0 -1 1 -2 0 2 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 0.874138237064 1.146485296868 9 1 3 4 2103 0132 2310 2103 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583862832210 0.355794517293 10 2 8 1 3120 1230 1023 0132 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 0.419520739816 0.745072608558 2 10 8 4 0132 2103 2031 3201 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.129094113270 0.853981497154 3 9 6 7 0132 1023 1023 1302 0 0 0 0 0 0 -1 1 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 1 -1 -2 0 0 2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.031261772827 1.296331116241 8 10 5 3 1023 0213 2103 0132 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.182357528615 1.250383122926 4 7 9 6 0132 2103 0213 3120 0 0 0 0 0 0 0 0 -1 0 0 1 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 2 0 -1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558681859320 0.576915603091 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0011_0'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_3']), '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_10' : 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_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0101_0']), 'c_1100_10' : negation(d['c_0101_5']), 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : negation(d['c_0011_10']), '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'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_0101_7']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 22961374577089579381946889143655/580155277899443587360758040267*c_1\ 001_0^15 - 74422920172307004062137748984904/58015527789944358736075\ 8040267*c_1001_0^14 + 411126588567527451262073212450/36464819478280\ 5523168295437*c_1001_0^13 - 433836538026367706931096808083698/82879\ 325414206226765822577181*c_1001_0^12 + 306745147461598213610463788802908/15679872375660637496236703791*c_1\ 001_0^11 - 4399449018093488787945929816731513/828793254142062267658\ 22577181*c_1001_0^10 + 69927731197499606982409911535434375/58015527\ 7899443587360758040267*c_1001_0^9 - 127030799355933955305066297300446477/580155277899443587360758040267\ *c_1001_0^8 + 188606025954699985811973414377659137/5801552778994435\ 87360758040267*c_1001_0^7 - 224172636950492093606181913385246483/58\ 0155277899443587360758040267*c_1001_0^6 + 213470243378119437338343405442091180/580155277899443587360758040267\ *c_1001_0^5 - 160419621845033325442093222526832805/5801552778994435\ 87360758040267*c_1001_0^4 + 93042741198110965436327696003937899/580\ 155277899443587360758040267*c_1001_0^3 - 39979029161376241625901741858716144/580155277899443587360758040267*\ c_1001_0^2 + 11130853224927932242783251887703142/580155277899443587\ 360758040267*c_1001_0 - 1453400250721909809693955414642602/58015527\ 7899443587360758040267, c_0011_0 - 1, c_0011_10 - 10122972468547950588/33180696953940116773*c_1001_0^15 + 36080765651710059613/33180696953940116773*c_1001_0^14 - 298845541096881219103/33180696953940116773*c_1001_0^13 + 1430868068942787831661/33180696953940116773*c_1001_0^12 - 5430186945926438267941/33180696953940116773*c_1001_0^11 + 15156846702230503291526/33180696953940116773*c_1001_0^10 - 35057821925389045142803/33180696953940116773*c_1001_0^9 + 65457665694850645520605/33180696953940116773*c_1001_0^8 - 99982752096304092034372/33180696953940116773*c_1001_0^7 + 123131459053821546559626/33180696953940116773*c_1001_0^6 - 121823053469046834191145/33180696953940116773*c_1001_0^5 + 95663982627149174879144/33180696953940116773*c_1001_0^4 - 58316418244613797445560/33180696953940116773*c_1001_0^3 + 26570900054613836533071/33180696953940116773*c_1001_0^2 - 8105897669827462130943/33180696953940116773*c_1001_0 + 1222618968933371249547/33180696953940116773, c_0011_3 - 1880811649520132098/33180696953940116773*c_1001_0^15 + 9442186263845136110/33180696953940116773*c_1001_0^14 - 62851591354831326210/33180696953940116773*c_1001_0^13 + 340285260802994852287/33180696953940116773*c_1001_0^12 - 1330573198918465949100/33180696953940116773*c_1001_0^11 + 4002336983639826987634/33180696953940116773*c_1001_0^10 - 9581932526537032273586/33180696953940116773*c_1001_0^9 + 18994403902873133676050/33180696953940116773*c_1001_0^8 - 30428547999077889486261/33180696953940116773*c_1001_0^7 + 39830673544519040905784/33180696953940116773*c_1001_0^6 - 41669485113170077367178/33180696953940116773*c_1001_0^5 + 34805325029259374510428/33180696953940116773*c_1001_0^4 - 22551776720166515728270/33180696953940116773*c_1001_0^3 + 10956807925296773042591/33180696953940116773*c_1001_0^2 - 3656060353587462536137/33180696953940116773*c_1001_0 + 607388838803441230063/33180696953940116773, c_0011_6 + 1918447307515553315/33180696953940116773*c_1001_0^15 - 6323554502065629176/33180696953940116773*c_1001_0^14 + 54867053037614106238/33180696953940116773*c_1001_0^13 - 256345532830020865311/33180696953940116773*c_1001_0^12 + 959015011966431317520/33180696953940116773*c_1001_0^11 - 2609925135284687616548/33180696953940116773*c_1001_0^10 + 5932521809133191925325/33180696953940116773*c_1001_0^9 - 10812393839036713540566/33180696953940116773*c_1001_0^8 + 16114030313129537543236/33180696953940116773*c_1001_0^7 - 19279860853251097066724/33180696953940116773*c_1001_0^6 + 18595902126544353814774/33180696953940116773*c_1001_0^5 - 14366277031243959471366/33180696953940116773*c_1001_0^4 + 8795230220096352737401/33180696953940116773*c_1001_0^3 - 4194472924151231356420/33180696953940116773*c_1001_0^2 + 1374782120607138595349/33180696953940116773*c_1001_0 - 248222664557707350834/33180696953940116773, c_0101_0 - 13801160756008602745/33180696953940116773*c_1001_0^15 + 45778918342380218458/33180696953940116773*c_1001_0^14 - 396787200500192123971/33180696953940116773*c_1001_0^13 + 1855623270685521736548/33180696953940116773*c_1001_0^12 - 6964935725389552437771/33180696953940116773*c_1001_0^11 + 19049790448426586725209/33180696953940116773*c_1001_0^10 - 43488109921694845804059/33180696953940116773*c_1001_0^9 + 79631194615350938766202/33180696953940116773*c_1001_0^8 - 119207119145844184707047/33180696953940116773*c_1001_0^7 + 143216096174839738405925/33180696953940116773*c_1001_0^6 - 137798009033867615999798/33180696953940116773*c_1001_0^5 + 104801818886467024916898/33180696953940116773*c_1001_0^4 - 61436798911079860779413/33180696953940116773*c_1001_0^3 + 26663391786853752807568/33180696953940116773*c_1001_0^2 - 7473617706327126282933/33180696953940116773*c_1001_0 + 935731334815444641868/33180696953940116773, c_0101_1 - 11165870932648213547/33180696953940116773*c_1001_0^15 + 42715885464307027632/33180696953940116773*c_1001_0^14 - 336435695746725265696/33180696953940116773*c_1001_0^13 + 1653624867667988081280/33180696953940116773*c_1001_0^12 - 6302776237054253659088/33180696953940116773*c_1001_0^11 + 17833884482294910322069/33180696953940116773*c_1001_0^10 - 41385567754180811495018/33180696953940116773*c_1001_0^9 + 77965510801024553824679/33180696953940116773*c_1001_0^8 - 119556414148366529627174/33180696953940116773*c_1001_0^7 + 147902903492703223832486/33180696953940116773*c_1001_0^6 - 146221473082479119077608/33180696953940116773*c_1001_0^5 + 114523759392816700533910/33180696953940116773*c_1001_0^4 - 69328034325493789354921/33180696953940116773*c_1001_0^3 + 31340272332747311334275/33180696953940116773*c_1001_0^2 - 9503803314287019649559/33180696953940116773*c_1001_0 + 1387986719773324112102/33180696953940116773, c_0101_2 + 22473606570491460021/33180696953940116773*c_1001_0^15 - 78894695667728463366/33180696953940116773*c_1001_0^14 + 658077752373109998699/33180696953940116773*c_1001_0^13 - 3139075333340299432441/33180696953940116773*c_1001_0^12 + 11858924198940225435872/33180696953940116773*c_1001_0^11 - 32902117330406350985486/33180696953940116773*c_1001_0^10 + 75689506878579170009354/33180696953940116773*c_1001_0^9 - 140406040125202779764771/33180696953940116773*c_1001_0^8 + 212736800270669891760806/33180696953940116773*c_1001_0^7 - 259478760116039103245495/33180696953940116773*c_1001_0^6 + 253818366065127068206148/33180696953940116773*c_1001_0^5 - 196728704332663548819586/33180696953940116773*c_1001_0^4 + 118131787060952115514111/33180696953940116773*c_1001_0^3 - 52819283823108276305542/33180696953940116773*c_1001_0^2 + 15652706684182197340015/33180696953940116773*c_1001_0 - 2202872706859264785924/33180696953940116773, c_0101_5 + 2885484988847598098/33180696953940116773*c_1001_0^15 - 11770123124566621522/33180696953940116773*c_1001_0^14 + 88435530250668510511/33180696953940116773*c_1001_0^13 - 446030833335469483616/33180696953940116773*c_1001_0^12 + 1702658745782614821479/33180696953940116773*c_1001_0^11 - 4873287289418778301483/33180696953940116773*c_1001_0^10 + 11330589703259348304940/33180696953940116773*c_1001_0^9 - 21515433841034593124575/33180696953940116773*c_1001_0^8 + 33096253799955416389797/33180696953940116773*c_1001_0^7 - 41165543557581041449636/33180696953940116773*c_1001_0^6 + 40822962774401596470298/33180696953940116773*c_1001_0^5 - 32102354908089153265195/33180696953940116773*c_1001_0^4 + 19537972417093707733102/33180696953940116773*c_1001_0^3 - 8914676061723274288056/33180696953940116773*c_1001_0^2 + 2782455049132218122564/33180696953940116773*c_1001_0 - 431584446693348842545/33180696953940116773, c_0101_7 - 28238181668487279683/33180696953940116773*c_1001_0^15 + 98415413835401932566/33180696953940116773*c_1001_0^14 - 824386961399090187887/33180696953940116773*c_1001_0^13 + 3922620579351554008090/33180696953940116773*c_1001_0^12 - 14799922542777214741978/33180696953940116773*c_1001_0^11 + 40948604671628763231961/33180696953940116773*c_1001_0^10 - 93993660256433459667508/33180696953940116773*c_1001_0^9 + 173791590107358306845695/33180696953940116773*c_1001_0^8 - 262332339128635733493213/33180696953940116773*c_1001_0^7 + 318261876041852730583191/33180696953940116773*c_1001_0^6 - 309196865846220355620100/33180696953940116773*c_1001_0^5 + 237530843418160229652079/33180696953940116773*c_1001_0^4 - 141015526936452685200976/33180696953940116773*c_1001_0^3 + 62191911164292266203367/33180696953940116773*c_1001_0^2 - 18046237215558299074308/33180696953940116773*c_1001_0 + 2457928557750032353279/33180696953940116773, c_0110_5 - 15453361677660720121/33180696953940116773*c_1001_0^15 + 54503967910777272268/33180696953940116773*c_1001_0^14 - 451859637795744029825/33180696953940116773*c_1001_0^13 + 2161436208300257939840/33180696953940116773*c_1001_0^12 - 8147256765918731393601/33180696953940116773*c_1001_0^11 + 22568393460614103470298/33180696953940116773*c_1001_0^10 - 51712884502788537353755/33180696953940116773*c_1001_0^9 + 95557204652621001580134/33180696953940116773*c_1001_0^8 - 143776516790940510410751/33180696953940116773*c_1001_0^7 + 173738608584123096340426/33180696953940116773*c_1001_0^6 - 167461309014402158949889/33180696953940116773*c_1001_0^5 + 127295026403742930489574/33180696953940116773*c_1001_0^4 - 74393943177010437746727/33180696953940116773*c_1001_0^3 + 32200544174018170754649/33180696953940116773*c_1001_0^2 - 9138903870780387371852/33180696953940116773*c_1001_0 + 1197233785836699644512/33180696953940116773, c_1001_0^16 - 4*c_1001_0^15 + 31*c_1001_0^14 - 154*c_1001_0^13 + 596*c_1001_0^12 - 1722*c_1001_0^11 + 4083*c_1001_0^10 - 7891*c_1001_0^9 + 12511*c_1001_0^8 - 16153*c_1001_0^7 + 16902*c_1001_0^6 - 14229*c_1001_0^5 + 9493*c_1001_0^4 - 4894*c_1001_0^3 + 1837*c_1001_0^2 - 439*c_1001_0 + 49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB