Magma V2.19-8 Tue Aug 20 2013 23:56:17 on localhost [Seed = 2968967332] Type ? for help. Type -D to quit. Loading file "L14n16051__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n16051 geometric_solution 11.70105261 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 0321 0132 1 1 1 1 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 0 0 -3 3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657175434054 0.971958315951 0 4 0 5 0132 0132 0321 0132 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657175434054 0.971958315951 6 0 8 7 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -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 -1 0 1 0 0 2 -2 -2 0 0 2 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408776934613 0.718049672422 5 9 0 7 0321 0132 0132 2310 1 1 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 0 0 0 0 0 0 0 0 1 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647527207182 1.125148723624 10 1 11 10 0132 0132 0132 2103 1 0 1 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 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 0.408776934613 0.718049672422 3 8 1 6 0321 0213 0132 1023 1 1 1 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -3 0 3 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522996697098 0.389950974283 2 10 7 5 0132 0132 3012 1023 1 1 1 1 0 1 -1 0 0 0 0 0 1 0 0 -1 1 0 -1 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 3 0 0 -3 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501435562633 1.186199706573 3 6 2 8 3201 1230 0132 1230 1 1 1 1 0 0 0 0 0 0 1 -1 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 -1 1 0 0 2 -2 1 2 0 -3 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467774692766 0.447236367992 7 11 5 2 3012 0132 0213 0132 1 1 1 1 0 0 0 0 0 0 1 -1 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 0 0 0 -1 0 3 -2 2 -2 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456781514406 0.924891545229 10 3 11 11 2103 0132 2103 0132 1 0 1 1 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 -1 0 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 0.472154225641 0.803896522155 4 6 9 4 0132 0132 2103 2103 1 0 1 1 0 -1 1 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 -2 2 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 0.408776934613 0.718049672422 9 8 9 4 2103 0132 0132 0132 1 0 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 -1 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456781514406 0.924891545229 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_0011_7'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_4'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : negation(d['1']), 's_2_7' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_2'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_4']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(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_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_11' : d['c_0101_4'], 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_5'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_4']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_2, c_0101_4, c_1001_0, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 575444838529810481645506664685984/51816731143169287699527273171875*\ c_1001_4^10 - 32769604269104498806856431530539844/56998404257486216\ 4694800004890625*c_1001_4^9 + 80729481120201773938074917905440583/5\ 69984042574862164694800004890625*c_1001_4^8 - 116699149350385895758401071138114411/569984042574862164694800004890\ 625*c_1001_4^7 + 22189683921489181093132225880929401/81426291796408\ 880670685714984375*c_1001_4^6 + 18320496764494282100770664680902849\ 6/569984042574862164694800004890625*c_1001_4^5 - 14755622226685320104361225547654478/5181673114316928769952727317187\ 5*c_1001_4^4 - 379438371472560129763477279784708762/569984042574862\ 164694800004890625*c_1001_4^3 + 81554876500052771494961151216357154\ /569984042574862164694800004890625*c_1001_4^2 + 368737429902925751157840834849546263/569984042574862164694800004890\ 625*c_1001_4 - 6651598653857737984753828284847179/22799361702994486\ 587792000195625, c_0011_0 - 1, c_0011_11 + 24447706547897158560232/67053618156435578639419*c_1001_4^10 - 131232200078014739999562/67053618156435578639419*c_1001_4^9 + 358403336994429126277068/67053618156435578639419*c_1001_4^8 - 634519129343329218625733/67053618156435578639419*c_1001_4^7 + 147814891588668872703236/9579088308062225519917*c_1001_4^6 - 43151844297804997497812/67053618156435578639419*c_1001_4^5 + 283188578025271509340087/67053618156435578639419*c_1001_4^4 - 1548472500202189041727993/67053618156435578639419*c_1001_4^3 + 854351893857401970091013/67053618156435578639419*c_1001_4^2 - 186308654630072745326042/67053618156435578639419*c_1001_4 + 51055922236120916801584/67053618156435578639419, c_0011_3 - 331259058007726094043116/335268090782177893197095*c_1001_4^1\ 0 + 1779391937284033968450011/335268090782177893197095*c_1001_4^9 - 4864638462245676837357842/335268090782177893197095*c_1001_4^8 + 8646205770325902834071999/335268090782177893197095*c_1001_4^7 - 2025574234671658299756419/47895441540311127599585*c_1001_4^6 + 926381620822182455607031/335268090782177893197095*c_1001_4^5 - 4330247430383836413897498/335268090782177893197095*c_1001_4^4 + 21682135335134996596433238/335268090782177893197095*c_1001_4^3 - 11476386590099043475788011/335268090782177893197095*c_1001_4^2 + 2466927605977953590920708/335268090782177893197095*c_1001_4 - 360140703569582505502378/67053618156435578639419, c_0011_5 - 30520699023247175005076/335268090782177893197095*c_1001_4^10 + 167527102919366926019761/335268090782177893197095*c_1001_4^9 - 463328500719214329504377/335268090782177893197095*c_1001_4^8 + 829085833842515823309559/335268090782177893197095*c_1001_4^7 - 192947087284258817835949/47895441540311127599585*c_1001_4^6 + 168633029093958287209756/335268090782177893197095*c_1001_4^5 - 313365046794819482154953/335268090782177893197095*c_1001_4^4 + 2120523433974391481568488/335268090782177893197095*c_1001_4^3 - 1226781709978169599070321/335268090782177893197095*c_1001_4^2 + 47901902490272574292483/335268090782177893197095*c_1001_4 - 19793716242496569684856/67053618156435578639419, c_0011_7 - 723754099420885490672/9579088308062225519917*c_1001_4^10 + 4600893858473971574756/9579088308062225519917*c_1001_4^9 - 13750350863200584798430/9579088308062225519917*c_1001_4^8 + 26072601029805897640503/9579088308062225519917*c_1001_4^7 - 41535354314860215838438/9579088308062225519917*c_1001_4^6 + 19729394276172113923206/9579088308062225519917*c_1001_4^5 + 10426714065151106741589/9579088308062225519917*c_1001_4^4 + 68912806110086915499713/9579088308062225519917*c_1001_4^3 - 50263081281228840352667/9579088308062225519917*c_1001_4^2 + 3643339054847373973627/9579088308062225519917*c_1001_4 - 1757211251486635725093/9579088308062225519917, c_0101_0 + 57067750867489947022108/67053618156435578639419*c_1001_4^10 - 297276902630223704595487/67053618156435578639419*c_1001_4^9 + 795623017514392705624748/67053618156435578639419*c_1001_4^8 - 1386295459408450307961784/67053618156435578639419*c_1001_4^7 + 46517679715391929160806/1368441186866032217131*c_1001_4^6 + 113561920390992921709739/67053618156435578639419*c_1001_4^5 + 927770922573615019477920/67053618156435578639419*c_1001_4^4 - 3450222386940733440779195/67053618156435578639419*c_1001_4^3 + 1627050467901661553305285/67053618156435578639419*c_1001_4^2 - 379685884538740837852877/67053618156435578639419*c_1001_4 + 276066157632046830483707/67053618156435578639419, c_0101_10 - 99759436124029978956088/239477207701555637997925*c_1001_4^1\ 0 + 569126464699108875224718/239477207701555637997925*c_1001_4^9 - 1626233265884855797864636/239477207701555637997925*c_1001_4^8 + 3014053157958358080811212/239477207701555637997925*c_1001_4^7 - 4952851476495809558520369/239477207701555637997925*c_1001_4^6 + 1419325886638687721957218/239477207701555637997925*c_1001_4^5 - 131000115471939355828442/34211029671650805428275*c_1001_4^4 + 7361725895730184352413989/239477207701555637997925*c_1001_4^3 - 5099364922184331809754193/239477207701555637997925*c_1001_4^2 + 1219270791774750287093509/239477207701555637997925*c_1001_4 - 156362317942815593305019/47895441540311127599585, c_0101_2 - 216343559074584253954884/335268090782177893197095*c_1001_4^1\ 0 + 1130909908464009823617309/335268090782177893197095*c_1001_4^9 - 3035159707199632836129653/335268090782177893197095*c_1001_4^8 + 5305334258012683588287576/335268090782177893197095*c_1001_4^7 - 1246151572245678946584641/47895441540311127599585*c_1001_4^6 - 311414421478425193868781/335268090782177893197095*c_1001_4^5 - 3422707352072477883106207/335268090782177893197095*c_1001_4^4 + 13092469926972941598849512/335268090782177893197095*c_1001_4^3 - 6021289743234936505917129/335268090782177893197095*c_1001_4^2 + 1501473398922468820215557/335268090782177893197095*c_1001_4 - 213935507873902230230274/67053618156435578639419, c_0101_4 - 1, c_1001_0 + 24447706547897158560232/67053618156435578639419*c_1001_4^10 - 131232200078014739999562/67053618156435578639419*c_1001_4^9 + 358403336994429126277068/67053618156435578639419*c_1001_4^8 - 634519129343329218625733/67053618156435578639419*c_1001_4^7 + 147814891588668872703236/9579088308062225519917*c_1001_4^6 - 43151844297804997497812/67053618156435578639419*c_1001_4^5 + 283188578025271509340087/67053618156435578639419*c_1001_4^4 - 1548472500202189041727993/67053618156435578639419*c_1001_4^3 + 854351893857401970091013/67053618156435578639419*c_1001_4^2 - 119255036473637166686623/67053618156435578639419*c_1001_4 + 118109540392556495441003/67053618156435578639419, c_1001_11 + 19381427851950960125528/67053618156435578639419*c_1001_4^10 - 99025943068696938976270/67053618156435578639419*c_1001_4^9 + 262150880952025032688058/67053618156435578639419*c_1001_4^8 - 452010922134687935142212/67053618156435578639419*c_1001_4^7 + 106279537273808656864798/9579088308062225519917*c_1001_4^6 + 94953915635399799964630/67053618156435578639419*c_1001_4^5 + 356175576481329256531210/67053618156435578639419*c_1001_4^4 - 1066082857431580633230002/67053618156435578639419*c_1001_4^3 + 502510324888800087622344/67053618156435578639419*c_1001_4^2 - 160805281246141127510653/67053618156435578639419*c_1001_4 - 28298174680721111913486/67053618156435578639419, c_1001_4^11 - 259/44*c_1001_4^10 + 192/11*c_1001_4^9 - 1481/44*c_1001_4^8 + 618/11*c_1001_4^7 - 271/11*c_1001_4^6 + 311/22*c_1001_4^5 - 783/11*c_1001_4^4 + 3009/44*c_1001_4^3 - 273/11*c_1001_4^2 + 35/4*c_1001_4 - 125/44 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB