Polls open in Greek vote that could decide fate of euro By George Georgiopoulos and Karolina Tagaris ATHENS (Reuters) - Voting opened on Sunday in a Greek election that could decide whether the heavily indebted country remains in the euro zone or heads for the exit, potentially unleashing shocks that could break up the single currency. In an election fought over the punishing austerity package demanded by international lenders as the price of keeping Greece from bankruptcy, opinion polls showed the radical leftist SYRIZA party, which wants to scrap the deal, running neck and neck with the conservative New Democracy, which broadly backs it. The European Union and International Monetary Fund have insisted that the conditions of the 130 billion bailout accord agreed in March must be accepted fully by a new government or funds will be cut off, driving Greece into bankruptcy. Sunday's election is a re-run of an earlier vote on May 6 which produced no clear winner and forced voters back to the polls for a vote that is seen as a referendum on the future of the single currency. Opinion polls show Greeks, weary after five years of deep recession, overwhelmingly favor remaining in the euro. But there is bitter anger over the repeated rounds of tax hikes, slashed spending and sharp cuts in wages. I voted with a heavy heart for a pro-bailout party because I want the country to stay in the euro, with the help of our European partners. I don't think the failed recipes of the left would get us out of this mess," said Stratos Economou, 49, who runs a bakery shop. All parties say they will keep Greece in the single currency but Tsipras believes the agreement can be renegotiated without Greece having to leave, betting that European leaders cannot afford the turmoil that would be unleashed by cutting a member of the euro zone loose. Polls opened at 7.00 a.m. Exit polls will follow soon after voting ends. $1 = 0.7939 euros Writing by Matt Robinson and James Mackenzie; Editing by Ralph Gowling and Anthony Boadle