kvec (i), (ii): T3/T4 = -sqrt(3)/(2*q - 2)  T5/T4 = sqrt(5)*(1 - q)/2  ratio 1 only at q4 resp. q5: True
Theorem 5(c): q5 = 0.105573 < 1/5, q4 = 0.133975 < 1/3, 2(1-q)^3 = 1 at q = 0.206299 < 1/3: True
T4(u) = 4u^7/(1+u^2)^4, derivative u^6(7-u^2)/(1+u^2)^5, u4^2 = 3+2sqrt3, u5^2 = 4+2sqrt5: True
U- = 2.5424 <= u4 = 2.542459757 (gap 5.98e-05); U+ = 2.9107 >= u5 = 2.910693380 (gap 6.62e-06); (T8+1)^2 >= 2; w- = 0.866019950, w-^4 = 0.562486, 2 w-^3 = 1.299014: True
Corollary combined: (3/4)^2 > 1/2, 2 (3/4)^(3/2) > 1, (k/4)(4/5)^(k-4) = 1 at k = 5 and decreasing: True
RESULT: ALL CHECKS PASSED
