Monomials Beyond n = 26: n = 28 Arrives at φ_i = 11.2236 on the Bracket That Stands, n = 26's Conditioned Rows Are Printed, and n = 22's Surface Is Carried to φ_i = 12.00 — and the Low End Stands Carried at Its Stated Points

The monomial staircase is carried one member past paper #633, the newest member's conditioned rows are printed, the eldest carried surface is carried to a declared top, and the low end is carried at its stated scope. Gated digit-for-digit on the whole body of paper #633's notebook (Gates A-H: the exhibits of papers #433, #529, #537, #549, #583, #595 and #612, every bisected bracket's ends re-run, paper #612's own beginnings and low-end maximum) and on paper #633's printed exhibits (a final gate: n = 24 at 9.7408 in [9.74078, 9.74084]; n = 26 at 10.5149 in [10.51483, 10.51489]; the spacings 0.7438 and 0.7740; both members' argmax lists on (-70, 15); n = 22's carried rows' endpoints; the below-0.0001 largest maximum at the parent's own notebook precision, 1.966e-09), the paper states its scan before results: the standing bracket is tested before it is widened -- n = 28's maxima are read on (-70, 15) first, and only a computed edge verdict widens the low edge by the parents' 25-unit step to (-95, 15). No widening is taken: n = 28's maxima stand interior at every sampled point (argmax between log V0 = -64.0 and -61.5, the deepest six units inside the edge), its sampled maximum at phi_i = 11.75 agrees at the fourth decimal on (-85, 15) (0.7269 on both), and the member begins at phi_i* = 11.2236 (bracket [11.22357, 11.22363]) -- a fourteenth located beginning. Its spacing from n = 26's beginning is 0.7087, the narrowest since the sequence's early fall, printed at full size: the last six spacings read 0.75, 0.74, 0.75, 0.74, 0.77, 0.71, and the levelling is restated at its measured band (roughly three quarters of a unit, give or take six hundredths at the newest member) rather than carried on the parent paper's tighter band. n = 26's conditioned rows are printed at phi_i = 10.75, 11.00, 11.25, 11.50 (w0 = -0.518 to -0.590, H0 = 69.08 to 69.56); the grid's first point, phi_i = 10.50, stands below the member's own beginning and is printed as unreachable, not skipped. n = 22's surface is carried above phi_i = 11.00 at every quarter-step through the declared top 12.00, every row landing inside (w0 -0.693 to -0.730, H0 70.45 to 70.79). The low end is carried, not computed: below phi_i = 0.00001 and between the stated points {0.00001, 0.00002, 0.00005} the class stands decided only at the stated points, exactly as paper #633 decided them (largest maximum 1.966e-09, short of the conditioning by 0.6831); no denser grid is computed and no interval claim beyond the points is made. Grade: EXTENSION. Derivation-independence count: 0. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.