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We report duration dependence of superconductivity in a 43 \% humidityatmosphere and $^{59}$Co nuclear quadrupole resonance (NQR) of polycrystallinesamples of $bi$layer hydrated Na$_x$CoO$_2 \cdot y$H$_2$O. We found a reentrantbehavior of superconductivity with respect to the time duration. We obtainedthe universal phase diagram where two superconducting phases and an in-betweenmagnetic phase are classified by $^{59}$Co NQR frequency. Zero field $^{59}$Conuclear spin-lattice relaxation rates $1/T_1$ indicated a magnetic criticalslowing down at 5 K in the magnetic phase, excluding a charge density waveordering, and an enhancement at and just above $T_\mathrm{c}$ in a newsuperconducting phase, suggesting a coexistence of magnetic ordering.

Universal Phase Diagram and Reentrant Superconductivity of $Bi$layer Hydrated Na$_x$CoO$_2\cdot y$H$_2$O