Magma V2.19-8 Tue Aug 20 2013 23:42:48 on localhost [Seed = 2564750800] Type ? for help. Type -D to quit. Loading file "L13n5891__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5891 geometric_solution 10.64793950 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 1302 0132 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 0 1 0 0 0 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 0.196378021258 0.885652151709 0 4 5 4 0132 0132 0132 1230 1 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 0 0 0 0 0 0 0 0 0 0 0 0 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 0.545832410968 1.134231604687 0 0 7 6 2031 0132 0132 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 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 0.761371361007 1.076199700097 5 5 0 8 0321 0213 0132 0132 1 1 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 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 0.422789673793 1.177749913691 1 1 9 8 3012 0132 0132 2031 1 1 1 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 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 0.304249024566 0.759827138026 3 6 3 1 0321 1302 0213 0132 1 1 1 1 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 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 0.230809054206 1.003216004839 9 9 2 5 1302 3012 0132 2031 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 1 -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 0.471700564205 1.088649150372 10 9 8 2 0132 3201 3201 0132 1 1 1 1 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672491716023 0.877019481127 7 4 3 10 2310 1302 0132 1302 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0.606453839421 0.484513872694 6 6 7 4 1230 2031 2310 0132 1 1 0 1 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 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 0.471700564205 1.088649150372 7 10 8 10 0132 1302 2031 2031 1 1 1 1 0 1 0 -1 0 0 1 -1 0 1 0 -1 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467669254323 0.418465553631 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : d['c_0110_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : d['c_0110_4'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : negation(d['c_0011_8']), 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_0110_6'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : negation(d['c_0011_5']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0110_6']})} 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_5, c_0011_6, c_0011_8, c_0011_9, c_0101_10, c_0101_7, c_0110_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 9218252706552630813870887932207/189935156698503202454396041344*c_01\ 10_6^15 - 12948945387289569388174985657313/904453127135729535497124\ 0064*c_0110_6^14 - 58030964908496457363628335446685/575561080904555\ 1589527152768*c_0110_6^13 - 1738559542781032226080811110269799/4748\ 3789174625800613599010336*c_0110_6^12 - 16447005657528895805745650964401357/189935156698503202454396041344*\ c_0110_6^11 - 9578248451899417633815300792301265/633117188995010674\ 84798680448*c_0110_6^10 - 11620964813496029070409689990919025/63311\ 718899501067484798680448*c_0110_6^9 - 12826029550540448411305492966635491/94967578349251601227198020672*c\ _0110_6^8 + 2451414145483559023850189241167/28778054045227757947635\ 76384*c_0110_6^7 + 1001140503548511571027162157225017/9044531271357\ 295354971240064*c_0110_6^6 + 21089581385655443084680004712909205/18\ 9935156698503202454396041344*c_0110_6^5 + 890127929823729973494352728406067/13566796907035943032456860096*c_0\ 110_6^4 + 68279144370785293640825702593627/593547364682822507669987\ 6292*c_0110_6^3 + 8857101136682725170761297777027/22611328178393238\ 38742810016*c_0110_6^2 - 569667996681860273948197459288543/18993515\ 6698503202454396041344*c_0110_6 + 31237751534597947827408910845049/\ 94967578349251601227198020672, c_0011_0 - 1, c_0011_10 - 3533323888350906810590887/51389382223620996335063864*c_0110\ _6^15 - 44210239522174385385294421/22024020952980427000741656*c_011\ 0_6^14 - 2106448341233557161834883795/154168146670862989005191592*c\ _0110_6^13 - 1826569067171471947294820797/3854203666771574725129789\ 8*c_0110_6^12 - 16334198920548134569411130879/154168146670862989005\ 191592*c_0110_6^11 - 26757845649123027123175434925/1541681466708629\ 89005191592*c_0110_6^10 - 28748315467004888737365955717/15416814667\ 0862989005191592*c_0110_6^9 - 7472281965100958542119727133/77084073\ 335431494502595796*c_0110_6^8 + 6089255093415001335435682553/770840\ 73335431494502595796*c_0110_6^7 + 3817823556899105369713072177/2202\ 4020952980427000741656*c_0110_6^6 + 17509587059386787532332055379/154168146670862989005191592*c_0110_6^\ 5 + 399414386177625436236299323/11012010476490213500370828*c_0110_6\ ^4 - 351091519536155901892549103/12847345555905249083765966*c_0110_\ 6^3 - 61049173995329305668773113/5506005238245106750185414*c_0110_6\ ^2 - 1622503183433850931141222489/154168146670862989005191592*c_011\ 0_6 + 49245338076126733243433915/77084073335431494502595796, c_0011_3 + 1, c_0011_5 + 147697318773216479263160245/1233345173366903912041532736*c_0\ 110_6^15 + 615090347043937059523470769/176192167623843416005933248*\ c_0110_6^14 + 29157548833877348698349618791/12333451733669039120415\ 32736*c_0110_6^13 + 25097563905431514033770532665/30833629334172597\ 8010383184*c_0110_6^12 + 222238460328822168779399644783/12333451733\ 66903912041532736*c_0110_6^11 + 359724884045729710206592951777/1233\ 345173366903912041532736*c_0110_6^10 + 377395891379074221604951446265/1233345173366903912041532736*c_0110_\ 6^9 + 90033912020279804555780578177/616672586683451956020766368*c_0\ 110_6^8 - 94657409485890774690076473293/616672586683451956020766368\ *c_0110_6^7 - 52559641417819263291227113033/17619216762384341600593\ 3248*c_0110_6^6 - 218783354417691213676837444823/123334517336690391\ 2041532736*c_0110_6^5 - 1299684637806165978418346143/29365361270640\ 569334322208*c_0110_6^4 + 2068181829170840362593339185/385420366677\ 15747251297898*c_0110_6^3 + 707083653537988886708805019/44048041905\ 960854001483312*c_0110_6^2 + 18663029312634611427384673277/12333451\ 73366903912041532736*c_0110_6 - 579751683903235137156644329/2055575\ 28894483985340255456, c_0011_6 - 5572178410562700072073185/205557528894483985340255456*c_0110\ _6^15 - 69989443469727554629312999/88096083811921708002966624*c_011\ 0_6^14 - 3375673014577862905024998769/616672586683451956020766368*c\ _0110_6^13 - 2965755667519878346471236943/1541681466708629890051915\ 92*c_0110_6^12 - 26829848440775887589259175385/61667258668345195602\ 0766368*c_0110_6^11 - 44316916883049976337274397879/616672586683451\ 956020766368*c_0110_6^10 - 48401414894974349375330986351/6166725866\ 83451956020766368*c_0110_6^9 - 13034345391892338548431358375/308336\ 293341725978010383184*c_0110_6^8 + 9569560595483063166338736299/308336293341725978010383184*c_0110_6^7 + 6467615492620637297823345871/88096083811921708002966624*c_0110_6^\ 6 + 30740182781115407124856818769/616672586683451956020766368*c_011\ 0_6^5 + 693508389386595197945146387/44048041905960854001483312*c_01\ 10_6^4 - 60874465110694362668922040/6423672777952624541882983*c_011\ 0_6^3 - 110839381588222188364872121/22024020952980427000741656*c_01\ 10_6^2 - 2890798305790611726232247947/616672586683451956020766368*c\ _0110_6 - 98625859226658813589223443/308336293341725978010383184, c_0011_8 - 9570922349226214984142803/176192167623843416005933248*c_0110\ _6^15 - 277944427266684683996093825/176192167623843416005933248*c_0\ 110_6^14 - 1858790414201165589624676049/176192167623843416005933248\ *c_0110_6^13 - 525513425938127386541353941/146826806353202846671611\ 04*c_0110_6^12 - 4581344607223945380758188451/587307225412811386686\ 44416*c_0110_6^11 - 21907093048462052010908014151/17619216762384341\ 6005933248*c_0110_6^10 - 22237407254069477537537475023/176192167623\ 843416005933248*c_0110_6^9 - 1577919869905981194186936461/293653612\ 70640569334322208*c_0110_6^8 + 6601208832845327983017315355/8809608\ 3811921708002966624*c_0110_6^7 + 22536275015964965128333901465/1761\ 92167623843416005933248*c_0110_6^6 + 4030195681061524751746767723/58730722541281138668644416*c_0110_6^5 + 1180438208944638101386925437/88096083811921708002966624*c_0110_6^4 - 148193757063440771439095783/5506005238245106750185414*c_0110_6^3 - 216850839356358343618551731/44048041905960854001483312*c_0110_6^2 - 426694130278108095116575161/58730722541281138668644416*c_0110_6 + 169415035895739093953232125/88096083811921708002966624, c_0011_9 + 5849510085344820159718429/58730722541281138668644416*c_0110_\ 6^15 + 511061358584220964763247181/176192167623843416005933248*c_01\ 10_6^14 + 3449982478242747078778671613/176192167623843416005933248*\ c_0110_6^13 + 2960296257462899129086765987/440480419059608540014833\ 12*c_0110_6^12 + 26147720838771814675740851189/17619216762384341600\ 5933248*c_0110_6^11 + 42253507293184461755753177755/176192167623843\ 416005933248*c_0110_6^10 + 44151078016369381994426212771/1761921676\ 23843416005933248*c_0110_6^9 + 10443589694890517106162098459/880960\ 83811921708002966624*c_0110_6^8 - 11234582305828457420644558943/880\ 96083811921708002966624*c_0110_6^7 - 43073600297337031212956994661/176192167623843416005933248*c_0110_6^\ 6 - 25548860924849395171288368781/176192167623843416005933248*c_011\ 0_6^5 - 3283883412968743618477491961/88096083811921708002966624*c_0\ 110_6^4 + 40653440108593019845790276/917667539707517791697569*c_011\ 0_6^3 + 509002184363558051442851887/44048041905960854001483312*c_01\ 10_6^2 + 2361285728093814828930032335/176192167623843416005933248*c\ _0110_6 - 183435452909041284145785497/88096083811921708002966624, c_0101_10 - 5849510085344820159718429/58730722541281138668644416*c_0110\ _6^15 - 511061358584220964763247181/176192167623843416005933248*c_0\ 110_6^14 - 3449982478242747078778671613/176192167623843416005933248\ *c_0110_6^13 - 2960296257462899129086765987/44048041905960854001483\ 312*c_0110_6^12 - 26147720838771814675740851189/1761921676238434160\ 05933248*c_0110_6^11 - 42253507293184461755753177755/17619216762384\ 3416005933248*c_0110_6^10 - 44151078016369381994426212771/176192167\ 623843416005933248*c_0110_6^9 - 10443589694890517106162098459/88096\ 083811921708002966624*c_0110_6^8 + 11234582305828457420644558943/88096083811921708002966624*c_0110_6^7 + 43073600297337031212956994661/176192167623843416005933248*c_0110_\ 6^6 + 25548860924849395171288368781/176192167623843416005933248*c_0\ 110_6^5 + 3283883412968743618477491961/88096083811921708002966624*c\ _0110_6^4 - 40653440108593019845790276/917667539707517791697569*c_0\ 110_6^3 - 509002184363558051442851887/44048041905960854001483312*c_\ 0110_6^2 - 2537477895717658244935965583/176192167623843416005933248\ *c_0110_6 + 183435452909041284145785497/88096083811921708002966624, c_0101_7 + 45149869717859281686720481/411115057788967970680510912*c_011\ 0_6^15 + 566317175558272225295476391/176192167623843416005933248*c_\ 0110_6^14 + 27194308905665027014669512833/1233345173366903912041532\ 736*c_0110_6^13 + 23780262503716445350157525855/3083362933417259780\ 10383184*c_0110_6^12 + 214213680808961039644849799065/1233345173366\ 903912041532736*c_0110_6^11 + 352581555107677042844428556855/123334\ 5173366903912041532736*c_0110_6^10 + 382141400136887594007943041503/1233345173366903912041532736*c_0110_\ 6^9 + 100777059851435144145673671319/616672586683451956020766368*c_\ 0110_6^8 - 79317746001972022210436455051/61667258668345195602076636\ 8*c_0110_6^7 - 51421318266962913773393592431/1761921676238434160059\ 33248*c_0110_6^6 - 238413485513788854582618676433/12333451733669039\ 12041532736*c_0110_6^5 - 4939932795975513789935829227/8809608381192\ 1708002966624*c_0110_6^4 + 298375437123041807315620480/642367277795\ 2624541882983*c_0110_6^3 + 876720680995346364829738445/440480419059\ 60854001483312*c_0110_6^2 + 19149870524478300707324342075/123334517\ 3366903912041532736*c_0110_6 - 863595748177514550758117581/61667258\ 6683451956020766368, c_0110_4 - 100429526907959705321438731/1233345173366903912041532736*c_0\ 110_6^15 - 417923314206139793254719823/176192167623843416005933248*\ c_0110_6^14 - 19762878928563884937422729881/12333451733669039120415\ 32736*c_0110_6^13 - 16967293279740431810310906647/30833629334172597\ 8010383184*c_0110_6^12 - 149867933633254628174440308241/12333451733\ 66903912041532736*c_0110_6^11 - 241983485105334316750904894815/1233\ 345173366903912041532736*c_0110_6^10 - 252464680568435041513424297863/1233345173366903912041532736*c_0110_\ 6^9 - 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memory usage: 32.09MB