## 9 Conclusions and Proposals for Future Research  
From the experimental results it can be seen that despite the small range of the magnetization magnitude in the six vases, the screening of excavation fragments can be done on the basis of their similar magnetization values. The position of co-belonging body fragments of the vases is determined with satisfactory precision by calculating the angles \(\omega\), \(\kappa\). The laboratory environment in which the proposed device is intended to be used is a large space, in which the vase fragments of each excavation layer are placed on platforms and separated into the excavated squares in which they were found. From each excavation block the characteristic fragments belonging to the bases, the orifices or handles of the vases and the fragments with written or embossed decoration are separated. The characteristic fragments determine the number of surviving vases and the search for co-belonging shells, which, in the simplest case, are located in adjacent excavated squares. In the common cases of perturbed excavation layers due to natural phenomena (such as floods) or illegal excavations, the procedure is more difficult, because the co-belonging fragments must be sought in the excavation layers above or below, in each excavation square, or in remote excavation squares. The positioning of the fragments in adjacent excavation layers and squares is of critical importance for the finding of co-belonging fragments. The investigation and screening of co-belonging fragments is performed by conservators. Figure 31: Angles, \(\omega\), display similar values in each longitudinal section of vase 6. If the common direction of the transformed components, \(\text{M}_{\text{xy}}\)*, in each longitudinal section of body fragments, is aligned along the common direction of the components, \(\text{M}_{\text{xy}}\), in base fragments, then the body and the base are oriented such that they join. \begin{table}
\begin{tabular}{c|c|c|c|c|c|c|c|c|c} \hline \hline \multicolumn{1}{c}{**M(Base)**} & \multicolumn{1}{c}{**M(Body)**} & \multicolumn{1}{c}{**A**} & \multicolumn{1}{c}{**B**} & \multicolumn{1}{c}{**T**} & \multicolumn{1}{c}{**\(\Delta\)**} & \multicolumn{1}{c}{**E**} & \multicolumn{1}{c}{**Z**} & \multicolumn{1}{c}{**H**} & \multicolumn{1}{c}{**\(\Theta\)**} & \multicolumn{1}{c}{**I**} & \multicolumn{1}{c}{**K**} \\ \hline \multirow{6}{*}{\(58.3\pm 0.2\) (mA/m)} & 1 & \(51\pm 2\) & & \(67\pm 4\) & \(53\pm 4\) & \(58\pm 3\) & \(58\pm 2\) & & \multicolumn{2}{c}{\(56\pm 3\)} \\  & 2 & \(62\pm 2\) & \(53\pm 2\) & \(64\pm 3\) & \(63\pm 4\) & \(63\pm 3\) & \(59\pm 2\) & \(64\pm 3\) & \(57\pm 4\) & \(51\pm 4\) & \(64\pm 3\) \\ \cline{1-1}  & 3 & \(63\pm  
The apparatus is not recommended to be used with fragments of characteristic portions of the vases (nozzles, handles), with fragments with written or embossed decoration, because it is easier for them to be located in an empirical manner. Small vases of daily use (e.g., plates, cups), without characteristic portions on their surface may have been manufactured from the same clay and fired in the same kiln under the same conditions. In that case the co-belonging vase fragments cannot be distinguished from the magnitude of thermoremanent magnetization, because it displays similar values. This is a very useful information on their manufacturing technique and on the origin of the raw material. The fragments from each vase can be distinguished from their different magnetization directivity at the assembly stage. The method is ineffective in the rather rare case of vases of the same size and shape from the same clay, placed in the same orientation in the kiln, relative to the Earth's magnetic field. It should be noted that the position of small vase fragments with high curvature is hampered, at least with the \(\sim\)3 cm fluxgate sensors used in this research. The error in calculating the angles \(\omega\), \(\kappa\) increases as the sensor contact with the fragment surface becomes smaller.