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There are 238591 different was of putting tridecominoes (13 squares). 217117 pieces have no holes, 21474 pieces do have holes, 237394 are asymmetric, 216070 have no holes, 21324 do have holes, 564 are axially symmetric, 510 have no holes, 54 do have holes, 326 are diagonally symmetric, 239 have no holes, 87 do have holes, 283 are birotationally symmetric, 276 have no holes, 7 do have holes, 17 biaxially symmetric, 16 have no holes, 1 does have holes, 3 bidiagonally symmetric, 2 have no holes, 1 does have holes, 2 quaternary rotationally symmetric that have no holes and 2 completely symmetric that have no holes.

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Q: How many tridecominoes are there?
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