PRIMARY PYTHON CERTIFICATE
COMPLEMENTARY m=1,2 COMPLETE CLOSURE CERTIFICATE
terminal graphs=40; boundary graphs closed mod 729=11
control graphs frozen mod 729=26; residual graphs=3
residual equations: 2^(K+1)=11*3^b+173 and 2^K=3^g+295
Matveev cutoff: b,g < 1000000000000000
Matveev safety ratios at cutoff: 111.349236, 50204.312604
equation 1 candidate counts: [117363, 7224, 2412, 47, 1, 0]
equation 2 candidate counts: [117363, 4815, 2412, 81, 0]
classification: exactly 17 distinct proper presentations; minimum excess=6

INDEPENDENT C++20 AUDIT
independent C++ closure audit passed
boundary=11 frozen_controls=26 residual=3 distinct_controls=17
equation1=117363,7224,2412,47,1,0 equation2=117363,4815,2412,81,0
