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LONDON -- The Conservatives and Labour jockeyed for the support of Britain's smaller parties Friday after a close-fought election that, for the first time in almost four decades, produced no outright winner and left jittery financial markets clamoring for a quick resolution.

As the Conservative Party, which won the largest number of seats, demanded the chance to govern, Liberal Democrat leader Nick Clegg dented Labour Prime Minister Gordon Brown's hopes of staying in power by calling on the Tories to try to form a government, without indicating whether his centrist party would be willing to join a coalition.

But obstacles remained in the way of the Tories. As sitting prime minister, Brown would traditionally be given the first chance to put together a government. His left-of-center Labour Party is seen as a more natural coalition fit with the Liberal Democrats, the third-place party now thrust into the role of potential kingmaker.

But Clegg said the party that had gained the most seats and the most votes -- the Conservatives -- should have "the first right to seek to govern."

"I think it is now for the Conservative Party to prove that it is capable of seeking to govern in the national interest," he said.

Despite winning the largest number of House of Commons seats in Thursday's election, David Cameron's Conservatives fell short of a majority that only a few months ago was considered inevitable. Labour was on track to lose nearly 90 seats in Parliament but still could govern with the help of the Liberal Democrats. Clegg's party surprisingly failed to capitalize on his stellar TV debate performances, but still could hold the keys to Downing St. for one of the other parties. His support is sure to be contingent on a promise of electoral reform, the Lib Dems' main demand.

That may be an insuperable sticking point for the Conservatives. Many of the party's old guard distrust the Liberal Democrats' pro-European leanings and fiercely oppose its call for proportional representation, which would make it hard for any single party to hold power alone -- effectively shutting out the Conservatives indefinitely.

"The Tories would fight it (electoral reform) tooth and nail," said Bill Jones, professor of politics at Liverpool Hope University. "It's like asking a turkey to vote for Christmas."

Labour is much more amenable to demands for electoral reform, but even a deal with the Liberal Democrats would leave them a few seats short of a majority, meaning they would have to turn to Scottish and Welsh nationalists for further support.

Scottish national party leader Alex Salmond, whose party won six seats, said he had already been invited to talks with Brown.

"Fate seems to have dealt us a mighty hand between ourselves and (Welsh nationalists) Plaid Cymru," Salmond told the BBC.

With 633 of the 650 seats counted, the Conservatives had secured 299 seats, Labour 253, the Liberal Democrats 54 and smaller parties, 27 seats. At least 326 of the House of Commons' 650 seats are needed to form a government with a majority.

"The country has spoken -- but we don't know what they've said," former Liberal Democrat leader Paddy Ashdown said, summing up confusion.

Days, and possibly weeks, of political horse-trading could lie ahead -- a prospect that gave the financial markets jitters.

As the pound and the FTSE-100 index fell sharply, pressure mounted for a quick solution.

"A decision would have to be made very quickly," said Victoria Honeyman, a lecturer in politics at the University of Leeds,

She predicted that some sort of statement would have to be made before Monday when the markets reopen.

"There's a limit to how long can that this go on," she said. "The pound will start to crash."

Talks were expected to begin between political players Friday, aided by civil service guidelines detailing how the process should unfold.

Although Britain has no written constitution, senior civil servants have been preparing furiously to lay out the rules and avoid market-rattling uncertainty in the event of a so-called hung parliament, a result in which no party secures a majority. The last time a British election produced such a result was in 1974.

A period of political wrangling and confusion in one of the world's largest economies could unsettle global markets already reeling from the Greek debt crisis and fears of wider debt contagion in Europe. Britain's budget deficit is set to eclipse even that of Greece next year, and whoever winds up in power faces the daunting challenge of introducing big government spending cuts to slash the country's huge deficit.

In London, bond trading started in the middle of the night -- six hours earlier than normal -- as traders tried to make sense of the election results. Britain's main stock index and the pound fell Friday as investors reacted to the inconclusive result against a backdrop of global market turbulence.

In the first minute of trading, the FTSE 100 share index was down 1.3 percent at 5,193 before rallying slightly above 5,200. The British pound traded as low as $1.46589 by early afternoon, down from $1.51 less than 24 hours earlier.

The Conservatives insisted they had been given a mandate by the electorate. Cameron said voters had rejected Brown and his Labour Party.

"Our country wants change. That change is going to require new leadership," Cameron said Friday.

Cameron planned to make a statement at 2:30 p.m. (1330 GMT, 9:30 a.m. EDT), which his party said would outline his plan for "strong and stable" government.

Brown also vowed to "play my part in Britain having a strong, stable" government and indicated he would seek an alliance with the Liberal Democrats, pledging action on election reform -- a key demand of his would-be partners.

Turnout for the election -- the closest-fought in a generation -- was 65.2 percent, higher than the 61 percent seen in Britain's 2005 election.

Some polling stations around the country were overwhelmed by those interested in casting ballots, and hundreds of people were blocked from voting due to problems with Britain's old-fashioned paper ballot system.

Anger flared when voters in London, Sheffield, Newcastle and elsewhere complained that they had been blocked from voting as stations closed -- and the head of Britain's Electoral Commission said some legal challenges to results because of blocked votes were likely.

Electoral Commission chief Jenny Watson acknowledged that Britain's paper voting system had been unable to cope with a surge of voters.

Former British Home Secretary Jacqui Smith was the biggest Labour lawmaker to lose her seat after being caught attempting to bill the public for porn movies watched by her husband.

But Labour won the northern England seat of Rochdale -- where Brown made the biggest gaffe of the campaign, caught on an open microphone referring to an elderly voter as a "bigoted woman" after she buttonholed him on immigration. Brown later visited her home to apologize.

In the southern England resort town of Brighton, Britain's first-ever Green Party lawmaker, Caroline Lucas, was elected.

The Conservatives were ousted by Labour under Tony Blair in 1997 after 18 years in power. Three leaders and three successive election defeats later, the party selected Cameron, a fresh-faced, bicycle-riding graduate of Eton and Oxford who promised to modernize its fusty, right-wing image.

Under Brown, who took over from Blair three years ago, Britain's once high-flying economy, rooted in world-leading financial services, has run into hard times. In addition, at least 1.3 million people have been laid off and tens of thousands have lost their homes in a crushing recession.