Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 307465385] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m276 geometric_solution 4.32601442 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 0 1 2 0 3012 0132 0132 1230 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 0 1 -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 -0.241970475039 0.943902970465 2 0 3 2 2310 0132 0132 2031 0 0 0 0 0 1 -1 0 -1 0 0 1 -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 0 0 0 1 0 0 -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 0.448517190706 0.675798921755 3 1 1 0 0132 1302 3201 0132 0 0 0 0 0 -1 1 0 0 0 1 -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 1 0 -1 0 0 -1 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 0.448517190706 0.675798921755 2 4 4 1 0132 0132 1023 0132 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645895839748 0.311860035317 4 3 3 4 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.048043628366 0.553071723088 ==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_4' : d['1'], 's_3_0' : 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_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_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_1']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1585399/418503*c_0101_4^10 - 2198473/418503*c_0101_4^9 + 4649797/139501*c_0101_4^8 - 17010677/418503*c_0101_4^7 - 77130506/418503*c_0101_4^6 + 90071131/418503*c_0101_4^5 + 52311484/418503*c_0101_4^4 - 28635369/139501*c_0101_4^3 + 2849216/139501*c_0101_4^2 + 5340856/139501*c_0101_4 - 3336775/418503, c_0011_0 - 1, c_0011_2 - 116460/139501*c_0101_4^10 - 118407/139501*c_0101_4^9 + 1147731/139501*c_0101_4^8 - 1482650/139501*c_0101_4^7 - 5635060/139501*c_0101_4^6 + 8966760/139501*c_0101_4^5 + 4760608/139501*c_0101_4^4 - 8230212/139501*c_0101_4^3 - 160773/139501*c_0101_4^2 + 1390043/139501*c_0101_4 - 320333/139501, c_0101_0 + 133756/139501*c_0101_4^10 + 261464/139501*c_0101_4^9 - 1040578/139501*c_0101_4^8 + 821399/139501*c_0101_4^7 + 7057287/139501*c_0101_4^6 - 3704103/139501*c_0101_4^5 - 7065926/139501*c_0101_4^4 + 3542074/139501*c_0101_4^3 + 1263156/139501*c_0101_4^2 - 900623/139501*c_0101_4 + 72509/139501, c_0101_1 + 326078/139501*c_0101_4^10 + 541744/139501*c_0101_4^9 - 2756501/139501*c_0101_4^8 + 2625502/139501*c_0101_4^7 + 16750933/139501*c_0101_4^6 - 13886641/139501*c_0101_4^5 - 16615528/139501*c_0101_4^4 + 11794716/139501*c_0101_4^3 + 2922150/139501*c_0101_4^2 - 1879653/139501*c_0101_4 + 397866/139501, c_0101_4^11 + 2*c_0101_4^10 - 8*c_0101_4^9 + 5*c_0101_4^8 + 55*c_0101_4^7 - 26*c_0101_4^6 - 71*c_0101_4^5 + 23*c_0101_4^4 + 27*c_0101_4^3 - 6*c_0101_4^2 - 2*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB