Magma V2.19-8 Tue Aug 20 2013 23:42:50 on localhost [Seed = 3549804184] Type ? for help. Type -D to quit. Loading file "L13n5923__sl2_c3.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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(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' : negation(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: 14 Groebner basis: [ t - 8142094647690188527/7447954436144000*c_1100_0^13 - 5811279965176455891/465497152259000*c_1100_0^12 - 19849544973973280277/372397721807200*c_1100_0^11 - 122204568124695618633/1489590887228800*c_1100_0^10 + 394259117805512490801/7447954436144000*c_1100_0^9 + 2474236602405726267677/7447954436144000*c_1100_0^8 - 1292510682403427130753/3723977218072000*c_1100_0^7 + 42228844740305160649/232748576129500*c_1100_0^6 - 1588734538497640348263/3723977218072000*c_1100_0^5 + 4985415802466649002591/7447954436144000*c_1100_0^4 - 1863012098867699423791/3723977218072000*c_1100_0^3 + 1442783683892015023001/7447954436144000*c_1100_0^2 - 53756285764812616323/1489590887228800*c_1100_0 + 16811022741529994531/7447954436144000, c_0011_0 - 1, c_0011_10 - 6895604996591/438114966832*c_1100_0^13 - 4962942191167/27382185427*c_1100_0^12 - 86052925560269/109528741708*c_1100_0^11 - 555060208228029/438114966832*c_1100_0^10 + 259627857455729/438114966832*c_1100_0^9 + 2080853114187085/438114966832*c_1100_0^8 - 995289183918257/219057483416*c_1100_0^7 + 67011658454590/27382185427*c_1100_0^6 - 1323580323325495/219057483416*c_1100_0^5 + 3994624386500239/438114966832*c_1100_0^4 - 1454162150094839/219057483416*c_1100_0^3 + 1105913343164809/438114966832*c_1100_0^2 - 205122397119279/438114966832*c_1100_0 + 12678167404179/438114966832, c_0011_8 + 352026860774/27382185427*c_1100_0^13 + 4068274341157/27382185427*c_1100_0^12 + 17746485703083/27382185427*c_1100_0^11 + 29148938177785/27382185427*c_1100_0^10 - 11672091058576/27382185427*c_1100_0^9 - 105990051897033/27382185427*c_1100_0^8 + 97228585547466/27382185427*c_1100_0^7 - 53150388586686/27382185427*c_1100_0^6 + 133487321805502/27382185427*c_1100_0^5 - 198991491573204/27382185427*c_1100_0^4 + 142775648118628/27382185427*c_1100_0^3 - 53226974618724/27382185427*c_1100_0^2 + 9522537882094/27382185427*c_1100_0 - 524743404324/27382185427, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 73288453447/438114966832*c_1100_0^13 - 51556035322/27382185427*c_1100_0^12 - 921171963885/109528741708*c_1100_0^11 - 8088161264325/438114966832*c_1100_0^10 - 11834426984807/438114966832*c_1100_0^9 - 17459862176875/438114966832*c_1100_0^8 - 30110032072457/219057483416*c_1100_0^7 + 4033186470268/27382185427*c_1100_0^6 - 14334576244223/219057483416*c_1100_0^5 + 72838343110151/438114966832*c_1100_0^4 - 54342360852439/219057483416*c_1100_0^3 + 69808361217409/438114966832*c_1100_0^2 - 20515184710215/438114966832*c_1100_0 + 2252099879899/438114966832, c_0101_3 + 1066459911211/219057483416*c_1100_0^13 + 1541836445290/27382185427*c_1100_0^12 + 13472635216191/54764370854*c_1100_0^11 + 88969638664617/219057483416*c_1100_0^10 - 33738073764245/219057483416*c_1100_0^9 - 319642772531897/219057483416*c_1100_0^8 + 146386901875245/109528741708*c_1100_0^7 - 20101587392816/27382185427*c_1100_0^6 + 202392695505171/109528741708*c_1100_0^5 - 600503291440291/219057483416*c_1100_0^4 + 215448859903279/109528741708*c_1100_0^3 - 161769925789317/219057483416*c_1100_0^2 + 30125552633443/219057483416*c_1100_0 - 2043878775999/219057483416, c_0101_6 + 1066459911211/219057483416*c_1100_0^13 + 1541836445290/27382185427*c_1100_0^12 + 13472635216191/54764370854*c_1100_0^11 + 88969638664617/219057483416*c_1100_0^10 - 33738073764245/219057483416*c_1100_0^9 - 319642772531897/219057483416*c_1100_0^8 + 146386901875245/109528741708*c_1100_0^7 - 20101587392816/27382185427*c_1100_0^6 + 202392695505171/109528741708*c_1100_0^5 - 600503291440291/219057483416*c_1100_0^4 + 215448859903279/109528741708*c_1100_0^3 - 161769925789317/219057483416*c_1100_0^2 + 30125552633443/219057483416*c_1100_0 - 2043878775999/219057483416, c_0101_8 + 1140889940175/438114966832*c_1100_0^13 + 808741456572/27382185427*c_1100_0^12 + 13636139805869/109528741708*c_1100_0^11 + 80446135037517/438114966832*c_1100_0^10 - 65947725570337/438114966832*c_1100_0^9 - 350762428692861/438114966832*c_1100_0^8 + 193145760169121/219057483416*c_1100_0^7 - 12340723206530/27382185427*c_1100_0^6 + 227987994135919/219057483416*c_1100_0^5 - 727105989756623/438114966832*c_1100_0^4 + 276813010207527/219057483416*c_1100_0^3 - 219994479250313/438114966832*c_1100_0^2 + 43271238998095/438114966832*c_1100_0 - 3067880318579/438114966832, c_0110_4 + 1066459911211/219057483416*c_1100_0^13 + 1541836445290/27382185427*c_1100_0^12 + 13472635216191/54764370854*c_1100_0^11 + 88969638664617/219057483416*c_1100_0^10 - 33738073764245/219057483416*c_1100_0^9 - 319642772531897/219057483416*c_1100_0^8 + 146386901875245/109528741708*c_1100_0^7 - 20101587392816/27382185427*c_1100_0^6 + 202392695505171/109528741708*c_1100_0^5 - 600503291440291/219057483416*c_1100_0^4 + 215448859903279/109528741708*c_1100_0^3 - 161769925789317/219057483416*c_1100_0^2 + 29906495150027/219057483416*c_1100_0 - 2043878775999/219057483416, c_1100_0^14 + 11*c_1100_0^13 + 44*c_1100_0^12 + 55*c_1100_0^11 - 78*c_1100_0^10 - 280*c_1100_0^9 + 445*c_1100_0^8 - 310*c_1100_0^7 + 466*c_1100_0^6 - 779*c_1100_0^5 + 727*c_1100_0^4 - 385*c_1100_0^3 + 116*c_1100_0^2 - 18*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB