allConwayPolynomials := [
[2,1,[1,1]],
[2,2,[1,1,1]],
[2,3,[1,1,0,1]],
[2,4,[1,1,0,0,1]],
[2,5,[1,0,1,0,0,1]],
[2,6,[1,1,0,1,1,0,1]],
[2,7,[1,1,0,0,0,0,0,1]],
[2,8,[1,0,1,1,1,0,0,0,1]],
[2,9,[1,0,0,0,1,0,0,0,0,1]],
[2,10,[1,1,1,1,0,1,1,0,0,0,1]],
[2,11,[1,0,1,0,0,0,0,0,0,0,0,1]],
[2,12,[1,1,0,1,0,1,1,1,0,0,0,0,1]],
[2,13,[1,1,0,1,1,0,0,0,0,0,0,0,0,1]],
[2,14,[1,0,0,1,0,1,0,1,0,0,0,0,0,0,1]],
[2,15,[1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1]],
[2,16,[1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1]],
[2,17,[1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,18,[1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1]],
[2,19,[1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,20,[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1]],
[2,21,[1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,22,[1,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1]],
[2,23,[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,24,[1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1]],
[2,25,[1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,26,[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,27,[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,28,[1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,29,[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,30,[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,31,[1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,32,[1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,33,[1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,34,[1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,35,[1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,36,[1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,37,[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,38,[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,39,[1,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,40,[1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,41,[1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,42,[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,43,[1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,44,[1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,45,[1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,46,[1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,47,[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,48,[1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,49,[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,50,[1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,51,[1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,52,[1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,53,[1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,54,[1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,55,[1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,56,[1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,57,[1,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,58,[1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,59,[1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,60,[1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,61,[1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,62,[1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,63,[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,64,[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,65,[1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,66,[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,67,[1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,68,[1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,69,[1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,70,[1,0,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,71,[1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,72,[1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,73,[1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,74,[1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,75,[1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,76,[1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,77,[1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,78,[1,1,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,79,[1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,80,[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,81,[1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,82,[1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[2,83,[1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
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