Monomials Beyond n = 30: n = 32 Arrives at φ_i = 12.6956 on the Bracket That Stands (−95, 15) — the Stated Rule's Test Taken and No Widening Needed — n = 30's Conditioned Rows Are Printed, the Surfaces of n = 28, n = 26, n = 24 and n = 22 Are Carried to Their Declared Tops — and the Low End Stands Carried at Its Stated Points

Works the residue the Wave 30 monomial paper printed: the monomial class (V = V0 phi^n) beyond n = 30 on the widened bracket (-95, 15), with the low end carried at its stated-points scope. Gated digit-for-digit on the whole body of the Wave 30 monomial notebook (the parent chain's exhibits with both ends of every bisected bracket re-run) and on the Wave 30 paper's printed exhibits (final gate: n = 30 at 11.9735 [11.97351, 11.97357]; spacing 0.7499; n = 28's rows [11.25, 11.50, 11.75, 12.00]; the surfaces of n = 26 to 12.50, n = 24 to 11.00, n = 22 to 13.00; the below-0.0001 largest maximum 1.966 x 10^-9, short of the conditioning by 0.6831). The bracket test is stated before results and taken: n = 32's maxima on the standing bracket (-95, 15) stand interior at every sampled point (argmax -74.5 to -77.0, eighteen units inside the low edge at the grid's top), so no widening to (-120, 15) is taken -- the stated rule exercised in the opposite direction from n = 30's widening. N = 32 arrives at phi_i* = 12.6956 [12.69556, 12.69562] (expectation 12.7135, printed as an expectation), spacing from n = 30 = 0.7220; the restated spacing band 0.71-0.77 survives its seventh test unamended; sixteen beginnings now located; the fourth-decimal check at the grid's top point passes on (-110, 15) (0.7061 on both). N = 30's conditioned rows are printed on (-95, 15) at 12.00-12.75 (the 11.75 point printed as unreachable below its own beginning, max 0.6664). The four unprinted surfaces are carried in the residue's order to their declared tops: n = 28 above 12.00 to 13.00, n = 26 above 12.50 to 13.50, n = 24 above 11.00 to 12.00, n = 22 above 13.00 to 14.00 -- the n = 22 surface's last two rows standing at the sampled bracket's top edge (maxima 0.9998 and 1.0000 at log V0 = 15.0), printed as computed. The low end (below 0.00001 and between the stated points {0.00001, 0.00002, 0.00005}) is carried at its stated-points scope, not computed; odd n excluded on the parents' printed ground. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.