Table 1.

Data base of measured precession frequencies and calibrated external magnetic fields used to determine the 3D position of ¹³C₁

Quantity	Value	Reference
f0, f−1	101.7(1), 114.2(1) kHz	Fig. 2b
f R	14.4(1) kHz	Fig. 2c
$f_0^{\prime }$, $f_{-1}^{\prime }$	88.3(3), 103.2(2) kHz	Fig. 2d
B 0	(0.028, −0.056, 9.502) mT	Supplementary Tables 2 and 3
ΔB	(−1.715, 0.614, −1.547) mT	Supplementary Table 2 and 3

Five further measurements of $\left(f_0^{\prime },f_{-1}^{\prime }\right)$ were made to improve the localization accuracy (data given in Supplementary Tables 2, 3). Vector magnetic fields refer to the NV coordinate system defined in Fig. 1