Bank stocks broke out of their six-day slump Tuesday, managing to post slender gains amid heavy trading.

Shaking off the swoon caused by the Asian financial crisis, shares of Chase Manhattan rose $1, to $103.625; BankAmerica Corp. was up $2.6875, to $65.3125; and Mellon Bank Corp. gained $2.3125, to $59.75, helping leading bank indexes to rise.

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