  We look for possible nonsupersymmetric black hole attractor solutions for
type II compactification on (the mirror of) CY_3(2,128) expressed as a
degree-12 hypersurface in WCP^4[1,1,2,2,6]. In the process, (a) for points away
from the conifold locus, we show that the attractors could be connected to an
elliptic curve fibered over C^8 which may also be "arithmetic" (in some cases,
it is possible to interpret the extremization conditions as an endomorphism
involving complex multiplication of an arithmetic elliptic curve), and (b) for
points near the conifold locus, we show that the attractors correspond to a
version of A_1-singularity in the space Image(Z^6-->R^2/Z_2(embedded in R^3))
fibered over the complex structure moduli space. The potential can be thought
of as a real (integer) projection in a suitable coordinate patch of the
Veronese map: CP^5-->CP^{20}, fibered over the complex structure moduli space.
We also discuss application of the equivalent Kallosh's attractor equations for
nonsupersymmetric attractors and show that (a) for points away from the
conifold locus, the attractor equations demand that the attractor solutions be
independent of one of the two complex structure moduli, and (b) for points near
the conifold locus, the attractor equations imply switching off of one of the
six components of the fluxes. Both these features are more obvious using the
atractor equations than the extremization of the black hole potential.
