Magma V2.19-8 Tue Aug 20 2013 23:39:26 on localhost [Seed = 4122186159] Type ? for help. Type -D to quit. Loading file "K13n4104__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4104 geometric_solution 10.41172993 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -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 -1 0 1 7 0 -7 0 7 0 0 -7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638951386740 0.810183621439 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 -7 0 7 0 -1 0 0 1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480412011614 0.665433911768 7 0 9 8 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 0 1 0 -1 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454770869212 0.875773639745 10 7 6 0 0132 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 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 -6 0 -1 7 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480412011614 0.665433911768 10 7 0 8 3120 3201 0132 3201 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 -1 1 0 0 0 0 -1 0 0 1 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178818264249 1.138092427481 10 1 8 6 1023 0132 0132 2103 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 -6 0 0 6 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.061932997849 1.096720317733 9 3 1 5 2103 3201 0132 2103 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 6 0 0 -6 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348909594079 0.869227531163 2 3 4 1 0132 0132 2310 0132 0 0 0 0 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 0 0 0 0 0 7 -7 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638951386740 0.810183621439 9 4 2 5 1230 2310 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174490069320 0.586997169052 10 8 6 2 2103 3012 2103 0132 0 0 0 0 0 0 0 0 1 0 -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 6 0 -6 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.458474959343 0.814718467726 3 5 9 4 0132 1023 2103 3120 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 0 0 0 0 6 -6 0 6 0 -6 0 6 -7 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712212497188 0.591202830661 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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' : 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_0110_6']), 'c_1100_8' : negation(d['c_0110_6']), 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_0101_1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0101_3']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_0'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_9'], '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' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], '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_4, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 3/187*c_1001_1^3 - 9/374*c_1001_1^2 + 2/33*c_1001_1 - 19/1122, c_0011_0 - 1, c_0011_4 + c_1001_1^3 - c_1001_1^2 + 3*c_1001_1 + 1, c_0011_6 - c_1001_1^2 + c_1001_1 - 2, c_0011_9 + c_1001_1^3 - 2*c_1001_1^2 + 5*c_1001_1, c_0101_0 + c_1001_1^3 - 2*c_1001_1^2 + 5*c_1001_1 - 2, c_0101_1 + c_1001_1 - 1, c_0101_3 - c_1001_1^3 + 2*c_1001_1^2 - 4*c_1001_1 + 1, c_0101_7 - c_1001_1^3 + 2*c_1001_1^2 - 4*c_1001_1 + 1, c_0110_6 - c_1001_1^3 + 2*c_1001_1^2 - 4*c_1001_1 + 2, c_1001_0 - c_1001_1^3 + 2*c_1001_1^2 - 5*c_1001_1 + 1, c_1001_1^4 - 2*c_1001_1^3 + 5*c_1001_1^2 - 2*c_1001_1 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 116472729551466929/669674286848070*c_1001_1^12 - 1522247465186431/47833877632005*c_1001_1^11 + 529867120669091399/1339348573696140*c_1001_1^10 + 4434409948699501/19696302554355*c_1001_1^9 - 80602279838345287/223224762282690*c_1001_1^8 - 95114110498904947/446449524565380*c_1001_1^7 + 495951164838364847/1339348573696140*c_1001_1^6 - 70978729571770229/669674286848070*c_1001_1^5 - 139216446712991131/446449524565380*c_1001_1^4 - 51566046233518/19696302554355*c_1001_1^3 - 3191862282289744/47833877632005*c_1001_1^2 + 17262230174666339/669674286848070*c_1001_1 - 268610193969313/95667755264010, c_0011_0 - 1, c_0011_4 - 560807925831/1250558892340*c_1001_1^12 - 609690135363/1250558892340*c_1001_1^11 + 622823489807/312639723085*c_1001_1^10 + 1743584607423/1250558892340*c_1001_1^9 - 1639278682107/625279446170*c_1001_1^8 - 2457217933163/1250558892340*c_1001_1^7 + 3740208959291/1250558892340*c_1001_1^6 + 1134618640689/1250558892340*c_1001_1^5 - 2333682108977/625279446170*c_1001_1^4 + 37397115061/62527944617*c_1001_1^3 + 711319691062/312639723085*c_1001_1^2 - 388351921721/625279446170*c_1001_1 - 71944215203/312639723085, c_0011_6 - 560807925831/1250558892340*c_1001_1^12 - 609690135363/1250558892340*c_1001_1^11 + 622823489807/312639723085*c_1001_1^10 + 1743584607423/1250558892340*c_1001_1^9 - 1639278682107/625279446170*c_1001_1^8 - 2457217933163/1250558892340*c_1001_1^7 + 3740208959291/1250558892340*c_1001_1^6 + 1134618640689/1250558892340*c_1001_1^5 - 2333682108977/625279446170*c_1001_1^4 + 37397115061/62527944617*c_1001_1^3 + 711319691062/312639723085*c_1001_1^2 - 388351921721/625279446170*c_1001_1 - 71944215203/312639723085, c_0011_9 + 1795689450781/1250558892340*c_1001_1^12 - 88639708009/625279446170*c_1001_1^11 - 1203611344208/312639723085*c_1001_1^10 - 2073796163459/1250558892340*c_1001_1^9 + 6024571956891/1250558892340*c_1001_1^8 + 2111824351633/625279446170*c_1001_1^7 - 5125877911091/1250558892340*c_1001_1^6 - 304600330277/312639723085*c_1001_1^5 + 932417266771/312639723085*c_1001_1^4 + 304548784193/625279446170*c_1001_1^3 - 1237192716081/625279446170*c_1001_1^2 - 562172792426/312639723085*c_1001_1 + 144499760516/312639723085, c_0101_0 - c_1001_1, c_0101_1 + 1902233738679/1250558892340*c_1001_1^12 + 2460032813131/1250558892340*c_1001_1^11 - 1374402045334/312639723085*c_1001_1^10 - 8842333261193/1250558892340*c_1001_1^9 + 1053214871917/312639723085*c_1001_1^8 + 2359295780585/250111778468*c_1001_1^7 - 2179797747339/1250558892340*c_1001_1^6 - 1578231647731/250111778468*c_1001_1^5 + 1454785514084/312639723085*c_1001_1^4 + 1213300711804/312639723085*c_1001_1^3 - 637108046349/312639723085*c_1001_1^2 - 1171122913969/625279446170*c_1001_1 - 72244487401/62527944617, c_0101_3 + 580737195573/312639723085*c_1001_1^12 + 728151914789/1250558892340*c_1001_1^11 - 3902696463737/625279446170*c_1001_1^10 - 1634165860427/312639723085*c_1001_1^9 + 10331942743267/1250558892340*c_1001_1^8 + 11112363598397/1250558892340*c_1001_1^7 - 1912616941338/312639723085*c_1001_1^6 - 6374050624691/1250558892340*c_1001_1^5 + 4342090297069/625279446170*c_1001_1^4 + 1659051489721/625279446170*c_1001_1^3 - 3020735856837/625279446170*c_1001_1^2 - 1573040857109/625279446170*c_1001_1 - 364347991823/312639723085, c_0101_7 - 4876058914501/1250558892340*c_1001_1^12 + 645634781537/625279446170*c_1001_1^11 + 13442057552071/1250558892340*c_1001_1^10 + 162813641324/62527944617*c_1001_1^9 - 8687266378619/625279446170*c_1001_1^8 - 1646481308946/312639723085*c_1001_1^7 + 3998361520774/312639723085*c_1001_1^6 - 3108198360263/1250558892340*c_1001_1^5 - 2994839731381/312639723085*c_1001_1^4 + 764277304202/312639723085*c_1001_1^3 + 1985948409883/625279446170*c_1001_1^2 + 348409241211/125055889234*c_1001_1 - 57752904719/312639723085, c_0110_6 - 1143714195109/250111778468*c_1001_1^12 + 965516285983/1250558892340*c_1001_1^11 + 16002510038737/1250558892340*c_1001_1^10 + 1247050598822/312639723085*c_1001_1^9 - 20093117343931/1250558892340*c_1001_1^8 - 9111113517459/1250558892340*c_1001_1^7 + 882618141978/62527944617*c_1001_1^6 - 727228863379/625279446170*c_1001_1^5 - 1355484629755/125055889234*c_1001_1^4 + 834806527261/625279446170*c_1001_1^3 + 925045597418/312639723085*c_1001_1^2 + 1125970904237/312639723085*c_1001_1 + 141021074716/312639723085, c_1001_0 + 1902233738679/1250558892340*c_1001_1^12 + 2460032813131/1250558892340*c_1001_1^11 - 1374402045334/312639723085*c_1001_1^10 - 8842333261193/1250558892340*c_1001_1^9 + 1053214871917/312639723085*c_1001_1^8 + 2359295780585/250111778468*c_1001_1^7 - 2179797747339/1250558892340*c_1001_1^6 - 1578231647731/250111778468*c_1001_1^5 + 1454785514084/312639723085*c_1001_1^4 + 1213300711804/312639723085*c_1001_1^3 - 637108046349/312639723085*c_1001_1^2 - 1171122913969/625279446170*c_1001_1 - 72244487401/62527944617, c_1001_1^13 + 3/29*c_1001_1^12 - 81/29*c_1001_1^11 - 48/29*c_1001_1^10 + 91/29*c_1001_1^9 + 75/29*c_1001_1^8 - 70/29*c_1001_1^7 - 12/29*c_1001_1^6 + 64/29*c_1001_1^5 + 4/29*c_1001_1^4 - 20/29*c_1001_1^3 - 28/29*c_1001_1^2 - 12/29*c_1001_1 - 4/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB