During evaluation of In[1]:= PASS: authoritative matrix is the exact tail differential gauge During evaluation of In[1]:= PASS: the compact denominator seed is a horizontal adjoint row During evaluation of In[1]:= PASS: base terminating polynomial During evaluation of In[1]:= PASS: horizontal elimination gives the terminating 4F3 operator During evaluation of In[1]:= PASS: the scalar step operator has only z-degrees zero and one During evaluation of In[1]:= PASS: constant-term normalization recurrence During evaluation of In[1]:= PASS: generic all-n terminating contiguity coefficient During evaluation of In[1]:= PASS: terminating top-coefficient boundary During evaluation of In[1]:= PASS: tail gauge selects the exponent-zero analytic solution During evaluation of In[1]:= PASS: nonterminating kernel normalization and exact contiguity During evaluation of In[1]:= PASS: binomial jet converts K_0 to the CM first jet During evaluation of In[1]:= PASS: compact denominator row reduces to the 3F2 operator During evaluation of In[1]:= PASS: exact CM-error seed annihilation constant During evaluation of In[1]:= PASS: regularized transfer has rank one at x=0 During evaluation of In[1]:= PASS: regularized determinant has exact x-adic order three During evaluation of In[1]:= PASS: Smith valuations are exactly (0,1,1,1) During evaluation of In[1]:= PASS: regular annihilator transfer gains one power of x During evaluation of In[1]:= PASS: balanced characteristic polynomial is the authoritative quartic During evaluation of In[1]:= PASS: characteristic quartic is irreducible During evaluation of In[1]:= PASS: Rouche separation has three roots in the unit disk During evaluation of In[1]:= PASS: limiting first-coordinate cyclic frame is invertible During evaluation of In[1]:= PASS: dominant left eigenvector has four nonzero coordinates During evaluation of In[1]:= PASS: consolidated exact hypergeometric-closure certificate During evaluation of In[1]:= M_N K_(N+1)=K_N with kappa_(n+1)/kappa_n=-(6n+1)(6n+5)/(576n^2(2n+1)^2) During evaluation of In[1]:= P_n(z)[[1]]/a_n = 4F3(-n,-n-1/6,-n-1/2,-n-5/6;1-2n,1-2n,1-2n;z) During evaluation of In[1]:= a_(n+1)/a_n = 576 n^2 (2n+1)^2/((6n+1)(6n+5)), a_1=18 Out[1]= Null