Monomials Beyond φ_i = 8.00 and Below 0.002: n = 18 Arrives at φ_i = 7.5088, n = 20 at 8.2508 — and Nothing at All Below 0.002

The monomial rolling-field class is computed beyond paper #595's scan end and below 0.002: gated digit-for-digit on #595's exhibits including both ends of its two bisected brackets re-run on the widened bracket, on #583's, #549's and #537's exhibits with their bracket ends re-run, and on the far-standard rows and the parent's standard-condition maxima, the staircase of beginnings is extended to ten thresholds. The members are the even n only, so the next members after n = 16 are n = 18 and n = 20: the n = 18 member's surface begins at phi_i* = 7.5088 (bisected, bracket [7.50879, 7.50885]), inside the old scan end, and the n = 20 member, scanned for the first time anywhere in the record, begins at phi_i* = 8.2508, the first beginning beyond phi_i = 8.00. Both arrivals are bisected on the widened bracket (log V0) in (-45, 15) stated by #595, with its edge diagnostic re-checked (all maxima interior) and its fourth-decimal caveat discharged for these members by recomputation on a still wider bracket. The spacing sequence now reads 0.87, 0.81, 0.80, 0.78, 0.77, 0.78, 0.75, 0.75, 0.74, its levelling confirmed. Below 0.002, on the grid phi_i in {0.0005, 0.0010, 0.0015}, every member's maximum rounds to 0.0000 and nothing conditions in [0.0005, 0.002), the largest unrounded maximum being 1.77e-06, short by 0.6831. Odd n excluded on the parent's printed ground. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.