United Kingdom euro coins
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The U.K. government has set five economic tests that must be passed before it can recommend that the UK join the euro; however, given the relatively subjective nature of these tests it seems unlikely they would be held to be fulfilled whilst public opinion remains so strongly against participation.
National variation is allowed in the design of euro coins, and it is possible that the Royal Mint could continue to include the symbols of the home nations on the British designed coinage, although this would have to be included in place of the Queen's portrait. This is unlikely, given that British coinage, no matter the design on the reverse, has always featured an effigy of the reigning monarch. In addition, of the four monarchies that are members of the Eurozone (Belgium, Luxembourg, the Netherlands, Spain), only Spanish euro coins do not feature the head of their monarch as the national side on all denominations.
Monaco, which is a non-member state with formal euro agreements, only features the monarch's head in €1 and €2 coins. Vatican euro coins have featured the portraits of Popes John Paul II and Benedict XVI, during their respective reigns as pontiff.