lam=(8-3*sqrt(7))/31, alpha+lam=10/17: direct complete=True (64962287 steps), induction complete=True, identical family data (m1,m2,v,n,width,P)=True
     m1=31999440 m2=31999440 v=64769 n=18823200 width=(-261634487+98888541*sqrt(7))/Q  billiard period=82692542
     m1=32962847 m2=32962847 v=66719 n=19389910 width=(253987681-95998320*sqrt(7))/Q  billiard period=85182166
lam=(20-6*sqrt(11))/6, alpha+lam=1/15: direct complete=True (35634705 steps), induction complete=True, identical family data (m1,m2,v,n,width,P)=True
     m1=9504180 m2=9504180 v=158801 n=633612 width=(-173330294+52261050*sqrt(11))/Q  billiard period=19324370
     m1=26130525 m2=26130525 v=436603 n=1742035 width=(63043598-19008360*sqrt(11))/Q  billiard period=106259758
lam=(55-3*sqrt(331))/35, alpha+lam=10/29: direct complete=True (36709563 steps), induction complete=True, identical family data (m1,m2,v,n,width,P)=True
     m1=15698164 m2=15698164 v=188281 n=5413160 width=(-1146806700+63034197*sqrt(331))/Q  billiard period=36432926
     m1=21011399 m2=21011399 v=252007 n=7245310 width=(856809185-47094492*sqrt(331))/Q  billiard period=48764094
lam=(0+1*sqrt(7))/23, alpha+lam=3/5: direct complete=True (931405 steps), induction complete=True, identical family data (m1,m2,v,n,width,P)=True
     m1=465320 m2=465320 v=53527 n=279192 width=(1233145-466085*sqrt(7))/Q  billiard period=1102778
     m1=466085 m2=466085 v=53615 n=279651 width=(-1231121+465320*sqrt(7))/Q  billiard period=2209182
lam=(-31+4*sqrt(61))/27, alpha+lam=1/14: direct complete=True (36151626 steps), induction complete=True, identical family data (m1,m2,v,n,width,P)=True
     m1=10905818 m2=10905818 v=97344 n=778987 width=(-788704255+100983232*sqrt(61))/Q  billiard period=44791870
     m1=25245808 m2=25245808 v=225341 n=1803272 width=(340708646-43623272*sqrt(61))/Q  billiard period=51844206
