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\begin{longtable}{|C|C|C|C|L|}
\caption{The mosaics in the cases $\d=5$, $\c=1,2,3$ or $4$.}\label{Table1}\\ \hline
\mathrm{Kernel} & \mathrm{Name} & \mathrm{No.\,  of\, tiles} &
\mathrm{Orders} &
\mathrm{Vertices\, of\, the \, mosaic }    \\ %\hline
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\mathrm{Kernel} & \mathrm{Name} & \mathrm{No.\,  of\, tiles} &
\mathrm{Orders} &
\mathrm{Vertices\, of\, the \, mosaic }    \\ %\hline
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   1 & 	SQ_0[\cdot] 	& 21 	& 0-9 	& (1,1); (0,1); (1/6,1/6); (1,0) \\ \hline
   2 & 	-	 	& - 	& - 	& - \\ \hline
   3 & SQ_1[3] 		& 7 	& 1-5 	& (1,1); (2/7,1); (3/8,3/8); (1,2/7) \\ \hline
   4 & SQ_1[4] 		& 27 	& 1-11 	& (1,1); (3/13,1); (2/7,2/7); (1,3/13) \\ \hline
   5 & SHV_4[2,2,2,2]	& 35 	& 4-14 	& (1,1); (1/6,1); (8/43,23/43); (1/2,1/2); (23/43,8/43); (1,1/6) \\ \hline
   6 & SH_1[6]		& 51 	& 1-11 	& (1,1); (1/5,1); (4/19,14/19); (3/8,3/8); (14/19,4/19); (1,1/5) \\ \hline
   7 & NQ_2[2,4]	& 6 	& 2-6 	& (1,1); (6/11,1); (3/5,2/5); (1,3/8) \\ 
   7 & NQ_2[4,2]	& 6 	& 2-6 	& (1,1); (3/8,1); (2/5,3/5); (1,6/11) \\ 
   7 & NP_3[2,2,3]	& 30 	& 3-12 	& (1,1); (3/13,1); (7/17,7/17); (4/5,1/5); (1,6/31) \\ 
   7 & NP_3[3,2,2]	& 30	& 3-12 	& (1,1); (6/31,1); (1/5,4/5); (7/17,7/17); (1,3/13) \\ \hline
   8 & SQ_1[8]		& 21 	& 1-9 	& (1,1); (7/17,1); (4/9,4/9); (1,7/17) \\ 
   8 & SH_3[2,3,2]	& 36	& 3-13 	& (1,1); (7/37,1); (6/31,26/31); (4/9,4/9); (26/31,6/31); (1,7/37) \\ \hline
   9 & SQ_1[9]		& 33 	& 1-9 	& (1,1); (2/7,1); (9/19,9/19); (1,2/7) \\ 
   9 & NP_4[2,2,2,3]	& 7 	& 4-15 	& (1,1); (8/43,1); (7/37,32/37); (1/3,2/3); (1,5/7) \\ 
   9 & NP_4[3,2,2,2]	& 7	& 4-15 	& (1,1); (5/7,1); (2/3,1/3); (32/37,7/37); (1,8/43) \\ \hline
\cdots&	\cdots		&\cdots	&\cdots	&\cdots\\	
\end{longtable}
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