Ashley Noffke edges out Brad Williams and left-armer Nathan Bracken for the fifth pace bowler's spot.
He provides control while the other left-armer, Enamul Haque Jr, is prepared to take more risks.
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The right-armer played five Tests for England in the mid 1960s, taking 15 wickets at 36.26.
Left-armer Doug Bollinger was the pick of Australia's attack, taking 5-28 in New Zealand's first innings.
England discard Samil Patel took 6-13, the slow left-armer's best bowling figures in any form of cricket.
Then the spinners put their stamp on proceedings, Kevin O'Brien dragging slow left-armer Pragyan Ojha's first delivery on to his stumps.
England were 78-0 when the left-armer (6-38) demolished the middle-order with a spell of four wickets for seven runs.
Left-armer Zaheer Khan then produced a superb five-over spell in which he collected two wickets and conceded only three runs.
Teenage left-armer Mohammad Aamer took 3-20 and Mohammad Asif 3-30, with Tim Paine last out having top scored on 17.
The 24-year-old left-armer, who has played for South Africa A, is the only new face in a 15-man tour party.
He has been named in the squad but the selectors have also included Robin Peterson, another slow left-armer, as cover.
Lee was getting some reverse swing and appears to have cemented his place in the pace attack alongside left-armer Mitchell Johnson.
After thumping Weeraratne for successive fours Cheema then smashed the slow left-armer Jayasuriya over the clubhouse and onto the practice field.
Astle was lbw to Pedro Collins without adding to his overnight score of 69, the left-armer's fourth success of the innings.
His hopes of a historic ton ended when he was caught behind by Tom Burrows off the bowling of left-armer James Tomlinson.
His career ended in the early 60s, and Australia had to wait for a decade for another left-armer to make his mark.
Schofield's Lancashire career nosedived as Sri Lanka off-spinner Muttiah Muralitharan and reliable slow left-armer Gary Keedy kept him out of the team.
Lanky left-armer Sulieman Benn is the other specialist spinner alongside Jaggernauth whose last Test was against Australia at Sabina Park a year ago.
In fact, India had two spinners on by the seventh over, with Gilchrist fortunate when he sliced slow left-armer Kartik over Zaheer at mid-off.
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It was the introduction of spin, however, which sent the Pakistan innings into terminal decline with Marsh and left-armer Holly Colvin bowling in tandem.
The left-armer wrapped up the innings and completed his five-wicket haul when Hussey - having just reverse-swept a four - finally played on for 146.
Ponting said a "lack of bowling" was the reason for leaving out left-armer Bollinger, who has been feeling his way back following a side strain.
The left-armer has played five Tests for Bangladesh, having made his debut against Australia in 2006, but is a regular member of the one-day side.
Johnson continued to punish spinner Harris, crashing three sixes off one over from the left-armer, cruising past 61 to rack up his best-ever Test batting figures.
But Silva was eventually tempted into playing at a ball from left-armer James Franklin which was angled across him and Fleming made no mistake at slip.
The second day had begun well for Strauss as England resumed their first innings on 50-1 and he quickly moved on to 66 before falling to slow left-armer Jon Holland.
Robert Croft has also missed out on a contract because England expect to play only one spinner in the Tests and slow left-armer Ashley Giles is first choice.
Dravid eventually fell just before lunch when left-armer Herath palmed a shot from Laxman onto the stumps at the non-striker's end and caught Dravid backing up too far.
The slow left-armer, omitted from England team that drew with India in the second Test at Trent Bridge, staked his claim for a recall at Headingley next week.
Yorkshire all-rounder Gavin Hamilton and Warwickshire slow left-armer Ashley Giles may be a little dispirited - they end the tour having failed to figure in a single one-day game.
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