Magma V2.19-8 Tue Aug 20 2013 23:42:50 on localhost [Seed = 4055340218] Type ? for help. Type -D to quit. Loading file "L13n5923__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5923 geometric_solution 10.33135208 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -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 0.752009111949 0.710500502954 0 5 6 4 0132 0132 0132 1023 0 0 1 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 2 -2 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 0.752009111949 0.710500502954 5 0 4 6 0213 0132 1302 1230 0 1 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 0 0 0 0 -8 0 0 8 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327647780566 0.796750637768 5 7 8 0 3012 0132 0132 0132 0 0 1 1 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 -1 0 1 -3 0 3 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478932128668 0.852960829121 2 5 0 1 2031 0213 0132 1023 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 1 -1 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 1.074064166017 0.847611697616 2 1 4 3 0213 0132 0213 1230 0 1 1 1 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 -2 -1 3 8 0 -1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327647780566 0.796750637768 2 9 8 1 3012 0132 1023 0132 0 0 1 1 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 0 -2 2 0 0 0 0 0 -1 0 1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478932128668 0.852960829121 10 3 8 9 0132 0132 0213 0213 0 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 1 0 -1 0 0 0 0 0 0 0 0 1 7 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672417107108 0.489911627029 9 7 6 3 2031 0213 1023 0132 0 0 1 1 0 0 0 0 0 0 -1 1 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 1 0 2 -3 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.285686030120 0.653905917456 10 6 8 7 1023 0132 1302 0213 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 0 0 0 0 0 0 0 -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 0.672417107108 0.489911627029 7 9 10 10 0132 1023 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772774127132 0.682425006402 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_6'], 'c_1010_10' : negation(d['c_0101_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' : 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' : d['c_0101_8'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_1'], 'c_1100_10' : d['c_0101_10'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : d['c_0101_8'], '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_8'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_1']})} 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_8, c_0110_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 8652695518931045745970697/129043287935233857920000*c_1100_0^15 - 59061209738535553819727133/64521643967616928960000*c_1100_0^14 + 20748617932647130872549479/3686951083863824512000*c_1100_0^13 - 493396604856748549911032107/25808657587046771584000*c_1100_0^12 + 879413926151658215971226463/25808657587046771584000*c_1100_0^11 - 1129151253010717495812758653/64521643967616928960000*c_1100_0^10 - 2180536572429664816596593923/129043287935233857920000*c_1100_0^9 + 3577776120303425270476143587/129043287935233857920000*c_1100_0^8 + 38720321761381173203167197/871914107670499040000*c_1100_0^7 + 3643679466592495418636224611/18434755419319122560000*c_1100_0^6 + 29112140189629478830257773981/64521643967616928960000*c_1100_0^5 + 17072480723005769523646035587/32260821983808464480000*c_1100_0^4 + 46853699145578289900514637697/129043287935233857920000*c_1100_0^3 + 1945726961288176256174012011/12904328793523385792000*c_1100_0^2 + 4658226106892218473257544903/129043287935233857920000*c_1100_0 + 98512793934209634188900849/25808657587046771584000, c_0011_0 - 1, c_0011_10 + 46239380393298543741/23043444274148903200*c_1100_0^15 - 1262873902708446495871/46086888548297806400*c_1100_0^14 + 1552506571565067951683/9217377709659561280*c_1100_0^13 - 2633817846073917432651/4608688854829780640*c_1100_0^12 + 9343702960354485759583/9217377709659561280*c_1100_0^11 - 11487126577276117455943/23043444274148903200*c_1100_0^10 - 12869551918634753955319/23043444274148903200*c_1100_0^9 + 39776559200664890818647/46086888548297806400*c_1100_0^8 + 848418762915449914689/622795791193213600*c_1100_0^7 + 67266364966065884498403/11521722137074451600*c_1100_0^6 + 619132694359746776193747/46086888548297806400*c_1100_0^5 + 715579005186519700709463/46086888548297806400*c_1100_0^4 + 471468825140776948323907/46086888548297806400*c_1100_0^3 + 9111947679970706819153/2304344427414890320*c_1100_0^2 + 9649215880458618520317/11521722137074451600*c_1100_0 + 675336970814523057979/9217377709659561280, c_0011_8 - 5250334986101994219/4608688854829780640*c_1100_0^15 + 36019860603154554321/2304344427414890320*c_1100_0^14 - 89119244908531342391/921737770965956128*c_1100_0^13 + 305429610209933729489/921737770965956128*c_1100_0^12 - 554014187353865682281/921737770965956128*c_1100_0^11 + 775896069989162573271/2304344427414890320*c_1100_0^10 + 1219999590994111429281/4608688854829780640*c_1100_0^9 - 2200778589044570539869/4608688854829780640*c_1100_0^8 - 23385024043346029289/31139789559660680*c_1100_0^7 - 15093773512246994847239/4608688854829780640*c_1100_0^6 - 17141351299262069822017/2304344427414890320*c_1100_0^5 - 1215882959932479259693/144021526713430645*c_1100_0^4 - 25255629796974907372479/4608688854829780640*c_1100_0^3 - 968054811737725604149/460868885482978064*c_1100_0^2 - 2057440234329455947301/4608688854829780640*c_1100_0 - 37125511450537496407/921737770965956128, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 197290101603642391741/184347554193191225600*c_1100_0^15 + 1322371065895635425199/92173777096595612800*c_1100_0^14 - 3171445582785164911449/36869510838638245120*c_1100_0^13 + 10328433259572250505511/36869510838638245120*c_1100_0^12 - 16607111664262939105919/36869510838638245120*c_1100_0^11 + 7400388084893154704709/92173777096595612800*c_1100_0^10 + 85777230208866412013119/184347554193191225600*c_1100_0^9 - 86623684268403092998611/184347554193191225600*c_1100_0^8 - 1058019907151294968291/1245591582386427200*c_1100_0^7 - 593657311711580706349281/184347554193191225600*c_1100_0^6 - 726210398829052396303543/92173777096595612800*c_1100_0^5 - 222764190772726070053893/23043444274148903200*c_1100_0^4 - 1236240141264653006181641/184347554193191225600*c_1100_0^3 - 49969743219637577638263/18434755419319122560*c_1100_0^2 - 109989537423860325583659/184347554193191225600*c_1100_0 - 1969592193354848829017/36869510838638245120, c_0101_3 - 36996139780741210869/92173777096595612800*c_1100_0^15 + 253805586988359994091/46086888548297806400*c_1100_0^14 - 627919103466929484841/18434755419319122560*c_1100_0^13 + 2151691077648564436239/18434755419319122560*c_1100_0^12 - 3901208712589998468511/18434755419319122560*c_1100_0^11 + 5446023903618685360181/46086888548297806400*c_1100_0^10 + 8683454544432165597671/92173777096595612800*c_1100_0^9 - 15622698808305819642899/92173777096595612800*c_1100_0^8 - 163817428238710994519/622795791193213600*c_1100_0^7 - 106534338549892395612329/92173777096595612800*c_1100_0^6 - 120690504010304687322787/46086888548297806400*c_1100_0^5 - 17126342640680362998131/5760861068537225800*c_1100_0^4 - 177392340749023503935769/92173777096595612800*c_1100_0^3 - 6741678627312274109087/9217377709659561280*c_1100_0^2 - 13849931961561914371331/92173777096595612800*c_1100_0 - 222470879440050064233/18434755419319122560, c_0101_6 - 36996139780741210869/92173777096595612800*c_1100_0^15 + 253805586988359994091/46086888548297806400*c_1100_0^14 - 627919103466929484841/18434755419319122560*c_1100_0^13 + 2151691077648564436239/18434755419319122560*c_1100_0^12 - 3901208712589998468511/18434755419319122560*c_1100_0^11 + 5446023903618685360181/46086888548297806400*c_1100_0^10 + 8683454544432165597671/92173777096595612800*c_1100_0^9 - 15622698808305819642899/92173777096595612800*c_1100_0^8 - 163817428238710994519/622795791193213600*c_1100_0^7 - 106534338549892395612329/92173777096595612800*c_1100_0^6 - 120690504010304687322787/46086888548297806400*c_1100_0^5 - 17126342640680362998131/5760861068537225800*c_1100_0^4 - 177392340749023503935769/92173777096595612800*c_1100_0^3 - 6741678627312274109087/9217377709659561280*c_1100_0^2 - 13849931961561914371331/92173777096595612800*c_1100_0 - 222470879440050064233/18434755419319122560, c_0101_8 + 849716391390002793/1152172213707445160*c_1100_0^15 - 92348153010300317647/9217377709659561280*c_1100_0^14 + 112748809645980020973/1843475541931912256*c_1100_0^13 - 5911270323092847462/28804305342686129*c_1100_0^12 + 654174686590630667629/1843475541931912256*c_1100_0^11 - 674639511867482875401/4608688854829780640*c_1100_0^10 - 276499045874427107377/1152172213707445160*c_1100_0^9 + 2978350990445028536029/9217377709659561280*c_1100_0^8 + 64718832125163402473/124559158238642720*c_1100_0^7 + 10000916314228755196637/4608688854829780640*c_1100_0^6 + 46777581037931109829459/9217377709659561280*c_1100_0^5 + 55046137949866741107571/9217377709659561280*c_1100_0^4 + 36901314600060211806989/9217377709659561280*c_1100_0^3 + 361691297337588331463/230434442741489032*c_1100_0^2 + 1544402137645321774103/4608688854829780640*c_1100_0 + 53639145463923964357/1843475541931912256, c_0110_4 - 36996139780741210869/92173777096595612800*c_1100_0^15 + 253805586988359994091/46086888548297806400*c_1100_0^14 - 627919103466929484841/18434755419319122560*c_1100_0^13 + 2151691077648564436239/18434755419319122560*c_1100_0^12 - 3901208712589998468511/18434755419319122560*c_1100_0^11 + 5446023903618685360181/46086888548297806400*c_1100_0^10 + 8683454544432165597671/92173777096595612800*c_1100_0^9 - 15622698808305819642899/92173777096595612800*c_1100_0^8 - 163817428238710994519/622795791193213600*c_1100_0^7 - 106534338549892395612329/92173777096595612800*c_1100_0^6 - 120690504010304687322787/46086888548297806400*c_1100_0^5 - 17126342640680362998131/5760861068537225800*c_1100_0^4 - 177392340749023503935769/92173777096595612800*c_1100_0^3 - 6741678627312274109087/9217377709659561280*c_1100_0^2 - 13942105738658509984131/92173777096595612800*c_1100_0 - 222470879440050064233/18434755419319122560, c_1100_0^16 - 13*c_1100_0^15 + 75*c_1100_0^14 - 230*c_1100_0^13 + 320*c_1100_0^12 + 77*c_1100_0^11 - 429*c_1100_0^10 + 236*c_1100_0^9 + 963*c_1100_0^8 + 3361*c_1100_0^7 + 8611*c_1100_0^6 + 12174*c_1100_0^5 + 10261*c_1100_0^4 + 5395*c_1100_0^3 + 1749*c_1100_0^2 + 320*c_1100_0 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB