Egyptians voting on Thursday said they felt empowered by the first free election after Hosni Mubarak's 30-year rule, a poll likely to give Islamists the upper hand in a parliament that will help shape Egypt's new constitution.

The army, which took over after Mubarak was ousted, remains in charge until a presidential election in mid-2012, but parliament will have a popular mandate that the military will find difficult to ignore as it oversees the transition.

I'm 61 years old and I've never voted before. I came here today as I couldn't vote yesterday because of the crowds, said Azza Mohamed, at a busy Cairo polling station where queues stretched around the block.

Everyone who votes today knows their vote won't be lost, she said, on the second day of the second round of a complicated election that will last into January.

Before Egyptians rose up in January to topple Mubarak 18 days later, the president's National Democratic Party (NDP) swept to assured victories in elections littered with abuses.

I can choose the person that I want to represent me. The NDP used to control the country. Now our views will steer the parliament, said 24-year-old Nesma Medhat, another Cairo voter.

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Parliament's prime job will be appointing a 100-strong assembly to write a constitution defining the powers of the president, parliament and perhaps the army in the new Egypt.

The ruling army council fuelled suspicions it wanted to hang on to power, even after a new president was elected, when its cabinet proposed inserting articles in the new constitution that would have shielded it from civilian scrutiny.

ON GUARD FOR ABUSES

As in the first round, voting was mainly peaceful, but independent monitoring groups have reported irregularities such as campaigning outside polling stations. The army, which is guarding polling stations, promised to confront such practices.

The election committee has pledged to combat abuses but says these were not widespread enough to discredit the result.

Official results are expected on Saturday or Sunday, but parties are likely to estimate their performance before that.

Islamist-led party lists secured about two-thirds of votes in the first round of the election. However, the Islamists are a broad and divided camp, which analysts say gives liberals a chance to make their voices heard in the new assembly.

Out in front was a list led by the Muslim Brotherhood's Freedom and Justice Party, with about 37 percent of the vote. One led by the hardline Salafi al-Nour Party was the surprise runner-up with 24 percent. Liberal lists led by the Egyptian Bloc and the Wafd Party together secured about 20 percent.

The liberal camp has sought to revitalise its campaign, but Karin Maree of the London-based Economist Intelligence Unit said she expected no big change in the overall trend even though first-round results would influence second-round voters.

She said al-Nour could lose a little ground and the Egyptian Bloc's share of seats is likely to grow slightly as voters seek to limit the influence of Islamist parties.

In the Minufiya district north of Cairo in the Nile Delta, Zeinab Youssef said she was backing the Brotherhood's party.

I'm voting for an old, established party that will know how to write a constitution. The Brotherhood suffered a lot of injustice, the 32-year-old said, referring to the Mubarak era when the Brotherhood was banned, but semi-tolerated.

Regions voting in the second round include Giza, a part of Cairo; the eastern cities of Ismailiya and Suez; Aswan and Sohag to the south; and Nile Delta regions in the north.

(Additional reporting by Shaimaa Fayed and Reuters Television; Writing by Edmund Blair; Editing by Alistair Lyon)