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The pair (Gamma in X_24) unprojects to the codimension 4 K3 surface Y in PP(4,5,5,6,7,8,9) with\n Basket = [1/2(1,1), 1/5(1,4), 1/5(2,3), 1/9(4,5)],\n Hilbert Numerator = 1 - t^12 - t^13 - 2t^14 - 2t^15 - 2t^16 - t^17\n  + t^19 + 2t^20 + 3t^21 + 4t^2 + 3t^23 + ..\n (this example is called Altinok4(111) in the Magma K3 database). 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