Magma V2.19-8 Tue Aug 20 2013 16:18:20 on localhost [Seed = 964207638] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2536 geometric_solution 5.84351481 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 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 0 -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 0.573470177650 0.611206463745 0 3 4 3 0132 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.091192427158 1.261959139394 4 4 0 3 0321 0213 0132 2310 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 -1 1 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 1.201616798187 1.033706202181 2 1 5 1 3201 0132 0132 2103 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 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 0.475601688834 0.641075195553 2 5 2 1 0321 1230 0213 0132 0 0 0 0 0 -1 1 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 -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 0.014334913552 0.802112305493 6 6 4 3 0132 3201 3012 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 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 0.175381319996 0.469780900627 5 6 5 6 0132 2310 2310 3201 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 1 -1 0 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.160104908165 0.805214875776 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_0_6' : 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_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_0110_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : 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_4, c_0011_5, c_0101_0, c_0101_5, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 14/9*c_0110_3^3 - 121/15*c_0110_3^2 + 43/15*c_0110_3 + 78/5, c_0011_0 - 1, c_0011_2 + 1/3*c_0110_3^3 - 5/3*c_0110_3^2 + 2, c_0011_4 + 1/3*c_0110_3^3 - c_0110_3^2 - c_0110_3 + 2, c_0011_5 - 1, c_0101_0 - 1/3*c_0110_3^3 + 4/3*c_0110_3^2 - 1, c_0101_5 - 1/3*c_0110_3^2 + 1, c_0110_3^4 - 6*c_0110_3^3 + 6*c_0110_3^2 + 9*c_0110_3 - 9 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_5, c_0101_0, c_0101_5, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 363338/791355*c_0110_3^12 + 5774582/2374065*c_0110_3^11 - 825298/474813*c_0110_3^10 - 4688186/474813*c_0110_3^9 + 3153617/263785*c_0110_3^8 + 18732043/791355*c_0110_3^7 - 67578149/2374065*c_0110_3^6 - 128121796/2374065*c_0110_3^5 + 10343131/158271*c_0110_3^4 + 9007336/158271*c_0110_3^3 - 64706944/791355*c_0110_3^2 - 2245773/263785*c_0110_3 + 7211223/263785, c_0011_0 - 1, c_0011_2 + 49964/791355*c_0110_3^12 - 242002/791355*c_0110_3^11 + 19276/158271*c_0110_3^10 + 208162/158271*c_0110_3^9 - 798793/791355*c_0110_3^8 - 904758/263785*c_0110_3^7 + 1812979/791355*c_0110_3^6 + 2034797/263785*c_0110_3^5 - 826580/158271*c_0110_3^4 - 1432457/158271*c_0110_3^3 + 1600234/263785*c_0110_3^2 + 974054/263785*c_0110_3 - 270584/263785, c_0011_4 + 231968/791355*c_0110_3^12 - 1217434/791355*c_0110_3^11 + 87507/52757*c_0110_3^10 + 500947/158271*c_0110_3^9 - 3272176/791355*c_0110_3^8 - 6989183/791355*c_0110_3^7 + 8112073/791355*c_0110_3^6 + 12921287/791355*c_0110_3^5 - 3520301/158271*c_0110_3^4 - 198168/52757*c_0110_3^3 + 2919513/263785*c_0110_3^2 - 66467/263785*c_0110_3 - 303988/263785, c_0011_5 + 60136/263785*c_0110_3^12 - 290848/263785*c_0110_3^11 + 39533/52757*c_0110_3^10 + 169904/52757*c_0110_3^9 - 617362/263785*c_0110_3^8 - 2308761/263785*c_0110_3^7 + 1354716/263785*c_0110_3^6 + 4713769/263785*c_0110_3^5 - 645856/52757*c_0110_3^4 - 686909/52757*c_0110_3^3 + 2165868/263785*c_0110_3^2 + 1106328/263785*c_0110_3 - 120193/263785, c_0101_0 + 34344/263785*c_0110_3^12 - 529406/791355*c_0110_3^11 + 94669/158271*c_0110_3^10 + 92022/52757*c_0110_3^9 - 1377914/791355*c_0110_3^8 - 3764002/791355*c_0110_3^7 + 3030122/791355*c_0110_3^6 + 7493128/791355*c_0110_3^5 - 1326862/158271*c_0110_3^4 - 855185/158271*c_0110_3^3 + 1134822/263785*c_0110_3^2 + 223537/263785*c_0110_3 + 71233/263785, c_0101_5 + 20443/263785*c_0110_3^12 - 80274/263785*c_0110_3^11 - 24442/158271*c_0110_3^10 + 94380/52757*c_0110_3^9 - 161101/263785*c_0110_3^8 - 3423209/791355*c_0110_3^7 + 298073/263785*c_0110_3^6 + 7723406/791355*c_0110_3^5 - 203407/52757*c_0110_3^4 - 1900843/158271*c_0110_3^3 + 2186359/263785*c_0110_3^2 + 1051644/263785*c_0110_3 - 724399/263785, c_0110_3^13 - 6*c_0110_3^12 + 9*c_0110_3^11 + 10*c_0110_3^10 - 27*c_0110_3^9 - 25*c_0110_3^8 + 69*c_0110_3^7 + 46*c_0110_3^6 - 147*c_0110_3^5 + 15*c_0110_3^4 + 108*c_0110_3^3 - 36*c_0110_3^2 - 27*c_0110_3 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB