Magma V2.19-8 Tue Aug 20 2013 16:18:17 on localhost [Seed = 2598045614] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2501 geometric_solution 5.82216698 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 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 -0.300102873987 1.232366652179 0 1 0 1 0132 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.548574207369 0.698192836545 4 5 6 0 0132 0132 0132 0132 0 0 0 0 0 1 0 -1 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 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 0.086640375338 0.677675099723 5 4 0 6 0132 3201 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 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 0.086640375338 0.677675099723 2 4 3 4 0132 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431924567772 1.771819694930 3 2 5 5 0132 0132 2031 1302 0 0 0 0 0 -1 0 1 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 -1 0 1 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 0.478931847221 0.430801102090 6 6 3 2 1230 3012 0132 0132 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 -1 1 0 1 0 -1 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 -0.026097765255 1.688939753692 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_0'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_6, c_0101_0, c_0101_1, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 1185002404662601/7298206691641*c_1100_0^12 + 1201227493494652/7298206691641*c_1100_0^11 + 27231293527161729/7298206691641*c_1100_0^10 - 65556835029519837/7298206691641*c_1100_0^9 - 3253150071009336/235426022311*c_1100_0^8 + 385289714641596316/7298206691641*c_1100_0^7 - 52562196176563340/7298206691641*c_1100_0^6 - 612723313241759470/7298206691641*c_1100_0^5 + 507539058698166895/7298206691641*c_1100_0^4 + 76598205835607325/7298206691641*c_1100_0^3 - 434285977178044972/7298206691641*c_1100_0^2 + 246100698922249030/7298206691641*c_1100_0 - 39363978355606813/7298206691641, c_0011_0 - 1, c_0011_2 + 77390620144/6356502602397*c_1100_0^12 + 49454936003/706278066933*c_1100_0^11 - 1737510552136/6356502602397*c_1100_0^10 - 7110707642960/6356502602397*c_1100_0^9 + 2554386214522/706278066933*c_1100_0^8 + 24809390798671/6356502602397*c_1100_0^7 - 89974125866155/6356502602397*c_1100_0^6 + 1091601422492/2118834200799*c_1100_0^5 + 90973570762166/6356502602397*c_1100_0^4 - 72126981423713/6356502602397*c_1100_0^3 - 3739716142237/6356502602397*c_1100_0^2 + 40206681991805/6356502602397*c_1100_0 - 8745476339605/6356502602397, c_0011_6 - 29222855525/6356502602397*c_1100_0^12 + 1944343226/235426022311*c_1100_0^11 + 564250819391/6356502602397*c_1100_0^10 - 2230033062317/6356502602397*c_1100_0^9 + 64159888490/706278066933*c_1100_0^8 + 10433126586178/6356502602397*c_1100_0^7 - 18883760633410/6356502602397*c_1100_0^6 - 1649619206374/2118834200799*c_1100_0^5 + 39828732567476/6356502602397*c_1100_0^4 - 26037210723248/6356502602397*c_1100_0^3 - 11075446640242/6356502602397*c_1100_0^2 + 22333355986892/6356502602397*c_1100_0 - 10235372059939/6356502602397, c_0101_0 + 30422416/180239391*c_1100_0^12 - 3232690/20026599*c_1100_0^11 - 683543041/180239391*c_1100_0^10 + 1657971370/180239391*c_1100_0^9 + 257639608/20026599*c_1100_0^8 - 9484966541/180239391*c_1100_0^7 + 2677222781/180239391*c_1100_0^6 + 4688802134/60079797*c_1100_0^5 - 14774557546/180239391*c_1100_0^4 + 10525/180239391*c_1100_0^3 + 10515520487/180239391*c_1100_0^2 - 7661459251/180239391*c_1100_0 + 1532820959/180239391, c_0101_1 + 1328206/180239391*c_1100_0^12 + 1649369/20026599*c_1100_0^11 - 31434037/180239391*c_1100_0^10 - 282309794/180239391*c_1100_0^9 + 74385283/20026599*c_1100_0^8 + 1118852314/180239391*c_1100_0^7 - 3183153643/180239391*c_1100_0^6 - 111720052/60079797*c_1100_0^5 + 4187567303/180239391*c_1100_0^4 - 2718240998/180239391*c_1100_0^3 - 957892282/180239391*c_1100_0^2 + 2136279698/180239391*c_1100_0 - 589726063/180239391, c_0101_5 - 15810117145/6356502602397*c_1100_0^12 + 15386084480/235426022311*c_1100_0^11 + 339166693225/6356502602397*c_1100_0^10 - 9705507659086/6356502602397*c_1100_0^9 + 1373460437785/706278066933*c_1100_0^8 + 44449660475126/6356502602397*c_1100_0^7 - 81482690330744/6356502602397*c_1100_0^6 - 12819541484120/2118834200799*c_1100_0^5 + 128441390259721/6356502602397*c_1100_0^4 - 59146214805601/6356502602397*c_1100_0^3 - 42139351046177/6356502602397*c_1100_0^2 + 66281088727804/6356502602397*c_1100_0 - 18920422032944/6356502602397, c_1100_0^13 - 2*c_1100_0^12 - 22*c_1100_0^11 + 78*c_1100_0^10 + 31*c_1100_0^9 - 410*c_1100_0^8 + 363*c_1100_0^7 + 479*c_1100_0^6 - 937*c_1100_0^5 + 348*c_1100_0^4 + 435*c_1100_0^3 - 566*c_1100_0^2 + 232*c_1100_0 - 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB