Monomials Beyond n = 22 and Below 0.0001: n = 24 Arrives at φ_i = 9.7408 on a Wider Bracket, n = 26 at 10.5149, and n = 22's Surface Is Carried to φ_i = 11.00 — and Nothing at All Below 0.0001, Down to 0.00001

The monomial staircase is carried two members past paper #623 on a wider bracket, its surface above the old bracket's reach is read, and the low end is decided a further decade down. Gated digit-for-digit on the whole body of paper #623's notebook (Gates A-G: the exhibits of papers #595, #583, #549, #537 and the far-standard paper, every bisected bracket's ends re-run; paper #623's own new work re-run whole), on paper #612's own beginnings and low-end maximum (Gate H), and on paper #623's printed exhibits (n = 22 at 8.9970 in [8.99701, 8.99707]; n = 24's maximum at the widened bracket's edge -45.0 at all seven sampled points; the [0.0001, 0.0005) largest maximum), the paper states a wider bracket before results on the parents' print alone: (log V0) in (-70, 15), the low edge widened by the parents' own 25-unit step, one stated step and no more. On it, n = 24 begins at phi_i* = 9.7408 (bracket [9.74078, 9.74084]), within eight ten-thousandths of the expectation paper #623 printed; its maxima are interior at every sampled point (argmax between log V0 = -50.5 and -48.0) and its phi_i = 10.00 maximum is stable at the fourth decimal on the still wider bracket (-85, 15); its conditioned rows stand at phi_i = 9.75 (w0 = -0.469, H0 = 68.88) and 10.00 (w0 = -0.521, H0 = 69.09). One member further under the same stated rule, n = 26 begins at phi_i* = 10.5149 (bracket [10.51483, 10.51489]), extending the spacing sequence to thirteen thresholds (0.87, 0.81, 0.80, 0.78, 0.77, 0.78, 0.75, 0.75, 0.74, 0.75, 0.74, 0.77; the two newest unrounded 0.7438 and 0.7740) with the levelling holding across six consecutive spacings. n = 22's surface, a single row on the parent bracket, is carried on the wider bracket at every quarter-step from phi_i = 9.25 through 11.00 (w0 from -0.525 to -0.678, H0 from 69.10 to 70.32). Below, at the stated points phi_i in {0.00001, 0.00002, 0.00005}, decided at the parents' conditioning standard for every even member n = 2 to 24, nothing conditions: the largest unrounded maximum is the quadratic's 1.97e-09 at phi_i = 0.00005, short of the conditioning by 0.6831, and joined with the parents' grids the class below the standard stands decided from 0.00001 upward on the stated points. Grade: EXTENSION. Derivation-independence count: 0. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.