The Rival Plane at the Later Generations

The zero set of a gap function in the plane of the cosmological constant's equation-of-state point (w0, wa) = (-1, 0) is graded at the two later generations of a declared path of uncertainties -- Stage IV (0.045, 0.130) and the path's end (0.025, 0.032857) -- with the centre frozen at the record centre (-0.83, -0.75) and the frame's extremal distance frozen at each generation in turn. At each generation the zero set is the boundary of a rectangle standing on the same w0 faces at every generation (w0 = -1.00 and -0.66), because the frame's frozen value is set by its w0 term throughout, making the w0 half-width the centre-to-frame offset 0.17 identically; the wa faces draw in toward the centre's wa ([-1.241111, -0.258889] at Stage IV, [-0.973429, -0.526571] at the path's end). The cosmological constant's point stands outside at every generation, at a standardized distance of 1.991453 (Stage IV) and 16.026087 (the path's end) in each generation's own units -- the gap entire, attained at the corner the near w0 face and the upper wa face share, by a move in wa alone. The derived form of the set carries no exception at either generation, on 2,793 graded points each.