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We estimated the ratios of $^{63}$Cu hyperfine coupling constants in thedouble-layer high-$T_\mathrm{c}$ superconductor HgBa$_2$CaCu$_2$O$_{6+\delta}$from the anisotropies in Cu nuclear spin-lattice relaxation rates and spinKnight shifts to study the nature of the ultraslow fluctuations causing the$T_2$ anomaly in the Cu nuclear spin-echo decay. The ultraslow fluctuations maycome from uniform magnetic fluctuations spread around the wave vector $q$ = 0,otherwise the electric origins.

Cu hyperfine coupling constants of HgBa$_{2}$Ca$_{}$Cu$_{2}$O$_{6+\delta}$