Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 341149705] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s684 geometric_solution 5.18270406 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279637394268 0.277384427449 2 0 3 0 0132 2310 0132 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 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 0.917869057164 1.510586892549 1 3 4 5 0132 3201 0132 0132 0 0 0 0 0 0 0 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 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 -0.139458990514 0.890592308214 5 4 2 1 3201 3201 2310 0132 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 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 -0.139458990514 0.890592308214 4 4 3 2 1230 3012 2310 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.171619979180 1.095974041039 5 5 2 3 1302 2031 0132 2310 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 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 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 0.171619979180 1.095974041039 ==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' : 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_1_5' : d['1'], 's_1_4' : negation(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' : negation(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_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0011_4, c_0011_5, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 109788520/72641*c_0101_3^10 + 365892903/145282*c_0101_3^9 + 73888697/4273*c_0101_3^8 + 1575812967/145282*c_0101_3^7 - 1584267275/72641*c_0101_3^6 - 12564819843/145282*c_0101_3^5 + 10222965336/72641*c_0101_3^4 - 13151550871/145282*c_0101_3^3 + 3248825793/145282*c_0101_3^2 + 1350981487/145282*c_0101_3 - 335275266/72641, c_0011_0 - 1, c_0011_1 - 58111/72641*c_0101_3^10 - 74591/72641*c_0101_3^9 - 614880/72641*c_0101_3^8 - 7873/4273*c_0101_3^7 + 1161704/72641*c_0101_3^6 + 3185012/72641*c_0101_3^5 - 6778218/72641*c_0101_3^4 + 4717443/72641*c_0101_3^3 - 1495362/72641*c_0101_3^2 - 400296/72641*c_0101_3 + 337446/72641, c_0011_3 - 425447/72641*c_0101_3^10 - 684211/72641*c_0101_3^9 - 4802524/72641*c_0101_3^8 - 159410/4273*c_0101_3^7 + 6641722/72641*c_0101_3^6 + 24439551/72641*c_0101_3^5 - 40979328/72641*c_0101_3^4 + 26465339/72641*c_0101_3^3 - 6648487/72641*c_0101_3^2 - 2736215/72641*c_0101_3 + 1341551/72641, c_0011_4 + 582490/72641*c_0101_3^10 + 921653/72641*c_0101_3^9 + 6544095/72641*c_0101_3^8 + 207278/4273*c_0101_3^7 - 9279882/72641*c_0101_3^6 - 33336049/72641*c_0101_3^5 + 56989370/72641*c_0101_3^4 - 37311703/72641*c_0101_3^3 + 9699530/72641*c_0101_3^2 + 3727021/72641*c_0101_3 - 1960282/72641, c_0011_5 - 157043/72641*c_0101_3^10 - 237442/72641*c_0101_3^9 - 1741571/72641*c_0101_3^8 - 47868/4273*c_0101_3^7 + 2638160/72641*c_0101_3^6 + 8896498/72641*c_0101_3^5 - 16010042/72641*c_0101_3^4 + 10846364/72641*c_0101_3^3 - 3051043/72641*c_0101_3^2 - 990806/72641*c_0101_3 + 618731/72641, c_0101_3^11 + 2*c_0101_3^10 + 12*c_0101_3^9 + 11*c_0101_3^8 - 12*c_0101_3^7 - 62*c_0101_3^6 + 74*c_0101_3^5 - 29*c_0101_3^4 - 5*c_0101_3^3 + 11*c_0101_3^2 - c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB