Corrigendum to "The monic integer transfinite diameter"
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It has been pointed out by Jan Hilmar [2] that the polynomial given in Table 5 of [1], tM(b) = 13 , regrettably does not have the property we claimed for it. The appearance of this polynomial was a computational oversight, and not caused by any failure of our algorithm for finding the polyomial. It should be replaced by P (x) = x(x − 3x + 7x − 11x + 6x − 1) (x − 1233x + 2406x − 1913x + 791x − 179x + 21x − 1) (x + 14184x − 34944x + 36442x − 20832x + 7041x − 1405x + 153x− 7) (x + 4842x − 10935x + 10355x − 5317x + 1594x − 278x + 26x − 1) (x + 7812x − 18072x + 17561x − 9271x + 2864x − 516x + 50x − 2) (x − 11406261x + 47054086x − 88456310x + 100247244x − 76341256x +41208853x − 16202606x + 4692047x − 999261x +154318x − 16766x + 1211x − 52x + 1).
[1] Chris Smyth,et al. The monic integer transfinite diameter , 2005, Math. Comput..