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]], 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