# kind=pi seed=32 samples=40000 ; outcome counts: {True: 40000}
# (True = completely periodic, proved by exact induction with tiling certificate; False = induction not finished)
# families per pair: {2: 40000} ; families with m1 != m2: 0 ; largest G-period: 123578934325686 (15 digits) ; largest N: 117822 ; max induction steps: 225399
largest: (D,p,q,Qd,n0,g)=(0, 114, -36, 60, 215, 399) N=66 fams(m1,m2,v,n,P)=[(123578934325686, 123578934325686, 1859171889185, 66590152581510, 310029677454512), (74602095778077, 74602095778077, 1122344355061, 40199124291445, 374317254274954)] steps=968
largest: (D,p,q,Qd,n0,g)=(0, -710, 271, 2948, 47, 379) N=20 fams(m1,m2,v,n,P)=[(60596289731404, 60596289731404, 2905900605903, 7514579465372, 122895357716374), (40372417389807, 40372417389807, 1936062961525, 5006605850451, 163758629414030)] steps=7695
largest: (D,p,q,Qd,n0,g)=(0, 79, -18, 365, 452, 459) N=16 fams(m1,m2,v,n,P)=[(8969059510317, 8969059510317, 551691328507, 8832276467676, 25667012831296), (9232908713352, 9232908713352, 567920824719, 9092101826656, 26422077603922)] steps=4959
largest: (D,p,q,Qd,n0,g)=(0, -138, 98, 1080, 257, 526) N=6 fams(m1,m2,v,n,P)=[(6788848146712, 6788848146712, 1067836028917, 3316984740884, 14759008976474), (5436075181466, 5436075181466, 855054761754, 2656029128587, 23636139936022)] steps=615
largest: (D,p,q,Qd,n0,g)=(0, -339, 109, 1126, 167, 590) N=327 fams(m1,m2,v,n,P)=[(5193747354620, 5193747354620, 15837697137, 1470094590206, 11825913905172), (5142352100030, 5142352100030, 15680973596, 1455547119839, 23417778745414)] steps=2598
largest: (D,p,q,Qd,n0,g)=(0, 744, -235, 1081, 235, 389) N=188 fams(m1,m2,v,n,P)=[(1510992828370, 1510992828370, 8003266917, 912810577550, 3918789700456), (1431616128513, 1431616128513, 7582832813, 864858072495, 7425849327790)] steps=1935
largest: (D,p,q,Qd,n0,g)=(0, -570, 182, 1748, 155, 201) N=987 fams(m1,m2,v,n,P)=[(488729587485, 488729587485, 494842329, 376881025175, 2706701030974), (316035991164, 316035991164, 319988783, 243709346420, 875141351182)] steps=1963
largest: (D,p,q,Qd,n0,g)=(0, 624, -198, 1194, 417, 514) N=607 fams(m1,m2,v,n,P)=[(305331525370, 305331525370, 502404508, 247710595485, 1714737674418), (333187399168, 333187399168, 548239659, 270309621504, 935587940522)] steps=338
