Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 3103335530] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1283 geometric_solution 5.17753257 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 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 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464215424197 0.418086671579 0 3 2 4 0132 0132 1230 0132 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 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810595864934 1.071213902150 3 0 4 1 3201 0132 2310 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 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 0.810595864934 1.071213902150 3 1 3 2 2310 0132 3201 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 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 -0.261360919536 0.904825109927 5 2 1 5 0132 3201 0132 1023 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 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 0.692689940641 0.479801670346 4 6 6 4 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.332036387625 0.383594174815 6 5 5 6 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.579983081649 0.172105245661 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), '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_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_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 197880741/2151149*c_0101_5*c_0101_6^11 - 265305186/2151149*c_0101_5*c_0101_6^10 + 1703592941/4302298*c_0101_5*c_0101_6^9 - 1624082079/4302298*c_0101_5*c_0101_6^8 - 1841065417/4302298*c_0101_5*c_0101_6^7 + 2697011162/2151149*c_0101_5*c_0101_6^6 - 334401369/391118*c_0101_5*c_0101_6^5 + 32636599/614614*c_0101_5*c_0101_6^4 + 956879559/2151149*c_0101_5*c_0101_6^3 - 747024007/4302298*c_0101_5*c_0101_6^2 + 15473973/2151149*c_0101_5*c_0101_6 + 224421299/4302298*c_0101_5, c_0011_0 - 1, c_0011_4 + 1558377/307307*c_0101_5*c_0101_6^11 + 1567320/307307*c_0101_5*c_0101_6^10 - 7518606/307307*c_0101_5*c_0101_6^9 + 8092261/307307*c_0101_5*c_0101_6^8 + 5193651/307307*c_0101_5*c_0101_6^7 - 22071461/307307*c_0101_5*c_0101_6^6 + 1737509/27937*c_0101_5*c_0101_6^5 - 824600/43901*c_0101_5*c_0101_6^4 - 2218831/307307*c_0101_5*c_0101_6^3 + 927312/307307*c_0101_5*c_0101_6^2 + 380425/307307*c_0101_5*c_0101_6 - 155549/307307*c_0101_5, c_0101_0 + 178137/43901*c_0101_6^11 + 52506/43901*c_0101_6^10 - 1044299/43901*c_0101_6^9 + 1468238/43901*c_0101_6^8 + 205834/43901*c_0101_6^7 - 3181221/43901*c_0101_6^6 + 341542/3991*c_0101_6^5 - 1425302/43901*c_0101_6^4 - 353791/43901*c_0101_6^3 + 404395/43901*c_0101_6^2 + 72118/43901*c_0101_6 - 104243/43901, c_0101_1 - 135078/43901*c_0101_6^11 - 8831/43901*c_0101_6^10 + 868195/43901*c_0101_6^9 - 1211645/43901*c_0101_6^8 - 203924/43901*c_0101_6^7 + 2731297/43901*c_0101_6^6 - 281790/3991*c_0101_6^5 + 883110/43901*c_0101_6^4 + 641228/43901*c_0101_6^3 - 493048/43901*c_0101_6^2 - 64686/43901*c_0101_6 + 91354/43901, c_0101_2 - 630726/307307*c_0101_5*c_0101_6^11 - 409340/307307*c_0101_5*c_0101_6^10 + 3789068/307307*c_0101_5*c_0101_6^9 - 3569872/307307*c_0101_5*c_0101_6^8 - 2894912/307307*c_0101_5*c_0101_6^7 + 11513349/307307*c_0101_5*c_0101_6^6 - 815293/27937*c_0101_5*c_0101_6^5 - 99113/43901*c_0101_5*c_0101_6^4 + 4109778/307307*c_0101_5*c_0101_6^3 - 2433759/307307*c_0101_5*c_0101_6^2 - 261237/307307*c_0101_5*c_0101_6 + 69326/307307*c_0101_5, c_0101_5^2 + 1404306/570713*c_0101_6^11 + 319992/570713*c_0101_6^10 - 8502716/570713*c_0101_6^9 + 11885824/570713*c_0101_6^8 + 2051714/570713*c_0101_6^7 - 26383811/570713*c_0101_6^6 + 2766119/51883*c_0101_6^5 - 9983790/570713*c_0101_6^4 - 4915873/570713*c_0101_6^3 + 3783818/570713*c_0101_6^2 + 431348/570713*c_0101_6 - 738310/570713, c_0101_6^12 + 1/3*c_0101_6^11 - 16/3*c_0101_6^10 + 26/3*c_0101_6^9 - c_0101_6^8 - 16*c_0101_6^7 + 23*c_0101_6^6 - 43/3*c_0101_6^5 + 5/3*c_0101_6^4 + 8/3*c_0101_6^3 - c_0101_6^2 - 1/3*c_0101_6 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB