certified partial quotients: 152 [1, 1, 1, 2, 2, 3, 1, 5, 2, 23, 2, 2, 1, 1, 55, 1, 4, 3, 1, 1] ...
largest certified convergent denominator digits: 73
u in [1e3,1e4]: conv q_j=665 (q_j+1 > u_hi), (L,R)=(16,0): h/u >= 5427e-5  [one-sum lemma, same (L,R): 5427e-5]
u in [1e4,1e5]: conv q_j=79335 (q_j+1 > u_hi), (L,R)=(24,1): h/u >= 5587e-5  [one-sum lemma, same (L,R): 5077e-5]
u in [1e5,1e6]: conv q_j=190537 (q_j+1 > u_hi), (L,R)=(28,1): h/u >= 6251e-5  [one-sum lemma, same (L,R): 6247e-5]
u in [1e6,1e7]: conv q_j=190537 (q_j+1 > u_hi), (L,R)=(30,1): h/u >= 6203e-5  [one-sum lemma, same (L,R): 6203e-5]
u in [1e7,1e8]: conv q_j=53715833 (q_j+1 > u_hi), (L,R)=(36,2): h/u >= 7253e-5  [one-sum lemma, same (L,R): 7401e-5]
u in [1e8,1e9]: conv q_j=397573379 (q_j+1 > u_hi), (L,R)=(39,2): h/u >= 6896e-5  [one-sum lemma, same (L,R): 7065e-5]
u in [1e9,1e10]: conv q_j=6586818670 (q_j+1 > u_hi), (L,R)=(46,3): h/u >= 7409e-5  [one-sum lemma, same (L,R): 7788e-5]
u in [1e10,1e11]: conv q_j=65470613321 (q_j+1 > u_hi), (L,R)=(47,3): h/u >= 7632e-5  [one-sum lemma, same (L,R): 7810e-5]
u in [1e11,1e12]: conv q_j=753110839881 (q_j+1 > u_hi), (L,R)=(55,4): h/u >= 7706e-5  [one-sum lemma, same (L,R): 8203e-5]
u in [1e12,1e13]: conv q_j=6162414764360 (q_j+1 > u_hi), (L,R)=(58,4): h/u >= 7862e-5  [one-sum lemma, same (L,R): 7920e-5]
u in [1e13,1e14]: conv q_j=52449289519716 (q_j+1 > u_hi), (L,R)=(64,5): h/u >= 7938e-5  [one-sum lemma, same (L,R): 8496e-5]
u in [1e14,1e15]: conv q_j=483615324366283 (q_j+1 > u_hi), (L,R)=(67,5): h/u >= 8047e-5  [one-sum lemma, same (L,R): 8209e-5]
u in [1e15,1e16]: conv q_j=6234549927241963 (q_j+1 > u_hi), (L,R)=(74,6): h/u >= 7939e-5  [one-sum lemma, same (L,R): 8595e-5]
u in [1e16,1e17]: conv q_j=6234549927241963 (q_j+1 > u_hi), (L,R)=(75,6): h/u >= 8409e-5  [one-sum lemma, same (L,R): 8531e-5]
u in [1e17,1e18]: conv q_j=397560349370386783 (q_j+1 > u_hi), (L,R)=(82,7): h/u >= 8221e-5  [one-sum lemma, same (L,R): 8865e-5]
u in [1e18,1e19]: conv q_j=4640282259296926456 (q_j+1 > u_hi), (L,R)=(84,7): h/u >= 8492e-5  [one-sum lemma, same (L,R): 8692e-5]
u in [1e19,1e20]: conv q_j=77692117359936589403 (q_j+1 > u_hi), (L,R)=(91,8): h/u >= 8438e-5  [one-sum lemma, same (L,R): 8987e-5]
u in [1e20,1e21]: conv q_j=205632218873398596256 (q_j+1 > u_hi), (L,R)=(95,8): h/u >= 8525e-5  [one-sum lemma, same (L,R): 8652e-5]
u in [1e21,1e22]: conv q_j=7736332199829210068325 (q_j+1 > u_hi), (L,R)=(100,9): h/u >= 8483e-5  [one-sum lemma, same (L,R): 9084e-5]
u in [1e22,1e23]: conv q_j=31150961018190238869556 (q_j+1 > u_hi), (L,R)=(105,9): h/u >= 8571e-5  [one-sum lemma, same (L,R): 8694e-5]
u in [1e23,1e24]: conv q_j=31150961018190238869556 (q_j+1 > u_hi), (L,R)=(105,9): h/u >= 8638e-5  [one-sum lemma, same (L,R): 8695e-5]
u in [1e24,1e25]: conv q_j=3473229337418774934657366 (q_j+1 > u_hi), (L,R)=(114,10): h/u >= 8675e-5  [one-sum lemma, same (L,R): 8799e-5]
u in [1e25,1e26]: conv q_j=3473229337418774934657366 (q_j+1 > u_hi), (L,R)=(114,10): h/u >= 8741e-5  [one-sum lemma, same (L,R): 8799e-5]
CERTIFIED minimum over 1e3<=u<=1e26: h/u >= 5427e-5 | with one-sum lemma at same (L,R): 5077e-5
