  We report new rogue wave patterns in the nonlinear Schr\"{o}dinger equation.
These patterns include heart-shaped structures, fan-shaped sectors, and many
others, that are formed by individual Peregrine waves. They appear when
multiple internal parameters in the rogue wave solutions get large.
Analytically, we show that these new patterns are described asymptotically by
root structures of Adler-Moser polynomials through a dilation. Since
Adler-Moser polynomials are generalizations of the Yablonskii-Vorob'ev
polynomial hierarchy and contain free complex parameters, these new rogue
patterns associated with Adler-Moser polynomials are much more diverse than
previous rogue patterns associated with the Yablonskii-Vorob'ev polynomial
hierarchy. We also compare analytical predictions of these patterns to true
solutions and demonstrate good agreement between them.
