English: Graph of the summatory en:Liouville function in the region where the en:Pólya conjecture fails to hold. That is, this is a graph of

${\displaystyle L(n)=\sum _{k=1}^{n}\lambda (k)}$

for ${\displaystyle 906150000\leq n\leq 906500000}$. The smallest value at which the function is positive is 906150257, the largest displayed is 906488079.