def typical_x(self, dim):
off = self.rotate(np.floor(np.arange(0, 3, 3. / dim)) /
np.logspace(0, 1, dim), inverse=True)
off[np.s_[3:]] += 0.005
off[-1] *= 1e2
off[0] /= 2.0e3 if off[0] > 0 else 1e3
off[2] /= 3.01e4 if off[2] < 0 else 2e4
return self._x_opt(dim) + off
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