Magma V2.19-8 Tue Aug 20 2013 23:39:55 on localhost [Seed = 2901067801] Type ? for help. Type -D to quit. Loading file "K14n21079__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21079 geometric_solution 9.91483324 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 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 0 -1 1 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 0.679773501773 1.125061804348 0 2 6 5 0132 2310 0132 0132 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 1 1 -2 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 0.841920619618 0.677325689550 7 0 8 1 0132 0132 0132 3201 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 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 0.094038692210 0.697734239045 9 8 5 0 0132 3012 1230 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 0 -1 1 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 0.167577124056 0.688711479293 10 9 0 6 0132 0132 0132 2310 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657715709461 0.467079664715 10 6 1 3 2031 0213 0132 3012 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 2 -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 0.363176464831 0.686145809934 4 7 5 1 3201 3201 0213 0132 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 -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 0.946985477500 0.590374578541 2 8 6 10 0132 3201 2310 0321 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 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 0.976899630731 1.495514167002 3 9 7 2 1230 0321 2310 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 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 0.601652843777 0.519869615864 3 4 10 8 0132 0132 2031 0321 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799279453110 1.508541985599 4 7 5 9 0132 0321 1302 1302 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 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 1.500562977240 0.795818730755 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_1001_8'], 'c_1010_10' : negation(d['c_1001_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_5']), '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' : 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' : negation(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_1100_9' : d['c_1001_8'], 'c_1100_8' : d['c_0011_0'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 'c_1100_10' : d['c_0101_0'], 'c_1010_7' : negation(d['c_1001_8']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], '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' : negation(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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_10']), '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_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_10']), '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' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : negation(d['c_0011_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_5, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_7, c_0101_8, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2321882756/90747853*c_1001_8^12 - 1907805575/90747853*c_1001_8^11 - 688811976/90747853*c_1001_8^10 - 8663402416/90747853*c_1001_8^9 - 11606772561/181495706*c_1001_8^8 - 13759673701/362991412*c_1001_8^7 - 22278310571/2903931296*c_1001_8^6 - 214528521397/1451965648*c_1001_8^5 + 1251258157/170819488*c_1001_8^4 + 29075738373/725982824*c_1001_8^3 + 81668007959/2903931296*c_1001_8^2 - 419334241/1451965648*c_1001_8 + 17548261057/414847328, c_0011_0 - 1, c_0011_10 - 66619/31126*c_1001_8^12 + 107597/62252*c_1001_8^11 - 500243/124504*c_1001_8^10 - 460623/249008*c_1001_8^9 - 1768261/498016*c_1001_8^8 + 25412/15563*c_1001_8^7 - 1655431/249008*c_1001_8^6 - 305067/124504*c_1001_8^5 + 234817/124504*c_1001_8^4 - 10533/31126*c_1001_8^3 - 226863/249008*c_1001_8^2 + 391841/249008*c_1001_8 + 753465/498016, c_0011_5 + 71049/62252*c_1001_8^12 - 238471/124504*c_1001_8^11 + 844881/249008*c_1001_8^10 - 691003/498016*c_1001_8^9 + 1429783/996032*c_1001_8^8 - 208679/124504*c_1001_8^7 + 921483/249008*c_1001_8^6 - 449729/249008*c_1001_8^5 - 994849/498016*c_1001_8^4 + 105539/31126*c_1001_8^3 - 32211/15563*c_1001_8^2 - 270763/498016*c_1001_8 + 678219/996032, c_0011_6 + 167951/62252*c_1001_8^12 - 279161/124504*c_1001_8^11 + 1232143/249008*c_1001_8^10 + 1592859/498016*c_1001_8^9 + 3038361/996032*c_1001_8^8 - 222399/249008*c_1001_8^7 + 2043713/249008*c_1001_8^6 + 360287/124504*c_1001_8^5 - 2430463/498016*c_1001_8^4 + 521709/249008*c_1001_8^3 + 7733/62252*c_1001_8^2 - 1941055/498016*c_1001_8 - 1630267/996032, c_0011_8 - 114469/62252*c_1001_8^12 + 312007/124504*c_1001_8^11 - 1218825/249008*c_1001_8^10 + 328099/498016*c_1001_8^9 - 3183319/996032*c_1001_8^8 + 1379227/498016*c_1001_8^7 - 3849305/498016*c_1001_8^6 + 1086625/498016*c_1001_8^5 + 352323/249008*c_1001_8^4 - 304167/498016*c_1001_8^3 - 65285/498016*c_1001_8^2 + 356123/124504*c_1001_8 + 896955/996032, c_0101_0 + 13507/62252*c_1001_8^12 - 57785/124504*c_1001_8^11 + 387271/249008*c_1001_8^10 - 984589/498016*c_1001_8^9 + 2532201/996032*c_1001_8^8 - 799999/498016*c_1001_8^7 + 908609/498016*c_1001_8^6 - 1414949/498016*c_1001_8^5 + 372691/124504*c_1001_8^4 - 628981/498016*c_1001_8^3 - 295271/498016*c_1001_8^2 + 107853/249008*c_1001_8 + 574815/996032, c_0101_1 - 93133/62252*c_1001_8^12 + 148111/124504*c_1001_8^11 - 795345/249008*c_1001_8^10 - 525381/498016*c_1001_8^9 - 3174671/996032*c_1001_8^8 + 644267/498016*c_1001_8^7 - 2950375/498016*c_1001_8^6 - 377147/498016*c_1001_8^5 + 34585/62252*c_1001_8^4 - 239359/498016*c_1001_8^3 - 528239/498016*c_1001_8^2 + 126777/62252*c_1001_8 + 1193567/996032, c_0101_7 - 4375/15563*c_1001_8^12 + 49783/31126*c_1001_8^11 - 133157/62252*c_1001_8^10 + 381943/124504*c_1001_8^9 - 56591/249008*c_1001_8^8 + 612875/249008*c_1001_8^7 - 517893/249008*c_1001_8^6 + 1270367/249008*c_1001_8^5 - 87855/249008*c_1001_8^4 - 257899/249008*c_1001_8^3 + 356825/249008*c_1001_8^2 - 100277/249008*c_1001_8 - 146265/124504, c_0101_8 - 66619/31126*c_1001_8^12 + 107597/62252*c_1001_8^11 - 500243/124504*c_1001_8^10 - 460623/249008*c_1001_8^9 - 1768261/498016*c_1001_8^8 + 25412/15563*c_1001_8^7 - 1655431/249008*c_1001_8^6 - 305067/124504*c_1001_8^5 + 234817/124504*c_1001_8^4 - 10533/31126*c_1001_8^3 - 226863/249008*c_1001_8^2 + 391841/249008*c_1001_8 + 753465/498016, c_1001_2 - 84675/62252*c_1001_8^12 + 132717/124504*c_1001_8^11 - 716891/249008*c_1001_8^10 - 369879/498016*c_1001_8^9 - 3288861/996032*c_1001_8^8 + 190157/124504*c_1001_8^7 - 1415185/249008*c_1001_8^6 - 26925/249008*c_1001_8^5 - 385741/498016*c_1001_8^4 + 16847/15563*c_1001_8^3 - 36597/31126*c_1001_8^2 + 1156089/498016*c_1001_8 + 709783/996032, c_1001_8^13 - 1/2*c_1001_8^12 + 7/4*c_1001_8^11 + 11/8*c_1001_8^10 + 37/16*c_1001_8^9 - 7/16*c_1001_8^8 + 7/2*c_1001_8^7 + 7/4*c_1001_8^6 - 1/8*c_1001_8^5 - 5/8*c_1001_8^4 + 3/4*c_1001_8^3 - 9/8*c_1001_8^2 - 19/16*c_1001_8 - 7/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.530 seconds, Total memory usage: 32.09MB