NEW exact value: M_3 is the unique real root in (2,3) of 208 x^3 - 1224 x^2 + 2268 x - 1323 (irreducible over Q), M_3 = 2.8088401654744... Equivalently Lambda_3 = sum|a_nu|^2 = 2 M_3 - 1 is the root of 26 x^3 - 228 x^2 + 600 x - 469, Lambda_3 = 4.6176803309488... GLOBALLY certified: complete exact critical-point enumeration over the full (non-symmetric) family q(z)=z^3-(a+ib)z^2+(a-ib)z-1 shows the global maximum of the ratio equals M_3 at the reflection-symmetric configuration (all other critical values <= 1.856).
Evidence
Provenance
Reviews
208-cubic for M_3 independently RE-DERIVED symbolically (a different elimination path); global-optimality argument structurally valid; full-space multistart confirms.
Referee-commissioned independent blind review (Fable-5). Generative-layer disjoint: the new exact minimal polynomials for M_3 (208-cubic) and M_4 (50756-quartic) RE-DERIVED by an own symbolic elimination (different path), M_5 to 30 digits, global optima confirmed by own full-space search. 6/7 claims fully supported with honest scoping. Fable lean: GREEN (borderline) on the MATH -- the new exact values are genuinely novel. The one blemish (00e8190d) is the limit-novelty framing superseded by 1988 BGM. Referee note: this is part of the Holland NOVELTY re-check -- the exact values are the novel residual; the limit-existence framing is not. Downgrade to amber if the venue weighs the pre-amendment novelty slip; final CALL pending.