Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 3035965625] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s529 geometric_solution 4.93968645 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.384372642792 0.398859285068 0 3 2 4 0132 0132 1230 0132 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 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 0.747282476770 1.299931264822 3 0 4 1 2310 0132 0132 3012 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 -1 1 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 0.747282476770 1.299931264822 5 1 2 5 0132 0132 3201 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021001747468 0.589182833359 4 4 1 2 1302 2031 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 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 0.537465230672 0.706145190222 3 3 5 5 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.199514733063 0.706582482947 ==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_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_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_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1225982815/31931448*c_0101_5^15 + 8361943461/53219080*c_0101_5^13 - 15286296769/39914310*c_0101_5^11 + 5344015039/13304770*c_0101_5^9 - 2524297073/13304770*c_0101_5^7 - 6839341651/31931448*c_0101_5^5 + 72295130/1330477*c_0101_5^3 + 2125155757/159657240*c_0101_5, c_0011_0 - 1, c_0011_4 - 744160/1330477*c_0101_5^14 + 30560687/6652385*c_0101_5^12 - 108775804/6652385*c_0101_5^10 + 230370857/6652385*c_0101_5^8 - 274340849/6652385*c_0101_5^6 + 35434174/1330477*c_0101_5^4 - 631135/1330477*c_0101_5^2 - 7689177/6652385, c_0101_1 - 7580440/1330477*c_0101_5^15 + 168125408/6652385*c_0101_5^13 - 434707131/6652385*c_0101_5^11 + 545764373/6652385*c_0101_5^9 - 373575791/6652385*c_0101_5^7 - 15340631/1330477*c_0101_5^5 + 16331251/1330477*c_0101_5^3 + 522137/6652385*c_0101_5, c_0101_2 - 37735915/5321908*c_0101_5^15 + 804153803/26609540*c_0101_5^13 - 511121839/6652385*c_0101_5^11 + 609703772/6652385*c_0101_5^9 - 413728979/6652385*c_0101_5^7 - 73249711/5321908*c_0101_5^5 + 1591319/1330477*c_0101_5^3 + 68680017/26609540*c_0101_5, c_0101_3 - 14263885/5321908*c_0101_5^14 + 302686557/26609540*c_0101_5^12 - 190297626/6652385*c_0101_5^10 + 220234393/6652385*c_0101_5^8 - 134958441/6652385*c_0101_5^6 - 46465005/5321908*c_0101_5^4 + 2480883/1330477*c_0101_5^2 + 34156723/26609540, c_0101_5^16 - 116/25*c_0101_5^14 + 311/25*c_0101_5^12 - 424/25*c_0101_5^10 + 336/25*c_0101_5^8 - 23/25*c_0101_5^6 - 7/5*c_0101_5^4 + 1/25*c_0101_5^2 + 1/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB