Akali metal doped fullerides reveal a polymerized crystal structure with pa
rallel chains of covalently bounded C-60 molecules. The electronic structur
e shows a narrow pi-electron band. The existence of strong electron-electro
n correlations in this fulleride is supported by the establishment of an an
tiferromagnetic ground state at T-N=30K. We report the measurements of Cs-1
33 and C-13-NMR relaxation rates on CsC60 polymers which have been performe
d versus pressure and temperature. Our results show that the hydrostatic pr
essure suppresses the antiferromagnetic order and stabilizes a spin-singlet
long range order at 5kbar. A study of the quadrupolar spin-echo of Cs-133
performed at ambient pressure reveals a second order structural transition
at T-S=13.8K towards a spin-singlet ground state which coexists with the pr
eexisting antiferromagnetic order.