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Between its junction with N4 at Fonthill and its junction with N7 at Newlands Cross via Fonthill Road North, Nangor Road and Fonthill Road South all in the county of South Dublin
and
between its junction with N7 at Newlands Cross and its junction with N81 at Tallaght Bypass via Belgard Road and Belgard Road Extension all in the county of South Dublin
and
between its junction with N81 at Tallaght Bypass in the county of South Dublin and its junction with N31 at Leopardstown Road in the county of Dun Laoghaire - Rathdown via Old Bawn Road, Killininney Road, Saint Colmcille’s Way, Scholarstown Road, Ballyboden Way, Taylor’s Lane and Grange Road in the county of South Dublin: Grange Road, Brohenfield Road (wrong name), Motorway Service Roads and Murphystown (road, area?? - how does it get there?) in the county of Dun Laoghaire–Rathdown
and
between its junction with N31 at Brewery Road and its junction with N31 at Temple Road Blackrock via Leopardstown Road, Newtownpark Avenue, Stradbrook Road and Temple Hill.
There are incorrect road names, and gaps in the route outlined in the legislation above. Also the signs in the vicinity of the M50 ("motorway service roads") does not recognise the R113, even though they are new.
Apart from that there are the usual inconsistencies and errors and gaps in the signage along older stretches of the route.