Magma V2.19-8 Tue Aug 20 2013 16:09:04 on localhost [Seed = 762098599] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m363 geometric_solution 4.74293835 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 4 0132 0132 0132 0132 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 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 0.705822086719 1.029205514005 0 2 1 1 0132 1302 1230 3012 0 0 0 0 0 -1 1 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729928076359 0.994360275962 3 0 4 1 0213 0132 2031 2031 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 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 0.546808804873 0.660827828571 2 3 3 0 0213 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 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 0.192080578164 0.872139830999 4 4 0 2 1302 2031 0132 1302 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 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473336489064 0.376424693641 ==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_3'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0110_4'])})} 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_3, c_0011_4, c_0101_0, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 79/127*c_0110_4^11 + 322/127*c_0110_4^10 - 41/127*c_0110_4^9 - 1373/127*c_0110_4^8 - 1219/127*c_0110_4^7 + 446/127*c_0110_4^6 + 1551/127*c_0110_4^5 + 1600/127*c_0110_4^4 - 172/127*c_0110_4^3 + 113/127*c_0110_4^2 - 493/127*c_0110_4 - 384/127, c_0011_0 - 1, c_0011_3 + 163/127*c_0110_4^11 + 711/127*c_0110_4^10 + 507/127*c_0110_4^9 - 1415/127*c_0110_4^8 - 3372/127*c_0110_4^7 - 3954/127*c_0110_4^6 - 1703/127*c_0110_4^5 + 705/127*c_0110_4^4 + 2161/127*c_0110_4^3 + 1979/127*c_0110_4^2 + 973/127*c_0110_4 + 288/127, c_0011_4 - 361/127*c_0110_4^11 - 1510/127*c_0110_4^10 - 819/127*c_0110_4^9 + 3419/127*c_0110_4^8 + 6932/127*c_0110_4^7 + 7159/127*c_0110_4^6 + 1735/127*c_0110_4^5 - 2360/127*c_0110_4^4 - 4077/127*c_0110_4^3 - 3275/127*c_0110_4^2 - 1435/127*c_0110_4 - 348/127, c_0101_0 - 60/127*c_0110_4^11 - 42/127*c_0110_4^10 + 679/127*c_0110_4^9 + 792/127*c_0110_4^8 - 984/127*c_0110_4^7 - 2300/127*c_0110_4^6 - 2665/127*c_0110_4^5 - 32/127*c_0110_4^4 + 1055/127*c_0110_4^3 + 1316/127*c_0110_4^2 + 876/127*c_0110_4 + 282/127, c_0110_4^12 + 4*c_0110_4^11 + 2*c_0110_4^10 - 8*c_0110_4^9 - 17*c_0110_4^8 - 21*c_0110_4^7 - 9*c_0110_4^6 + 10*c_0110_4^4 + 10*c_0110_4^3 + 7*c_0110_4^2 + 3*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB