Exact reduced map G: the examples of the two source papers
  (1/3, 1/4): N=2, delta=0
     period 7 = 3+4+0  [m1=3 m2=4 v=2 n=4, width 1/6, measure 1/2]
     period 12 = 6+4+2  [m1=3 m2=2 v=1 n=3, width 1/6, measure 1/2]
     total measure of the families: 1  (= 1: every regular trajectory is periodic)
  (1/4, 1/6): N=3, delta=0
     period 5 = 2+3+0  [m1=2 m2=3 v=1 n=2, width 1/3, measure 2/3]
     period 6 = 4+0+2  [m1=2 m2=0 v=0 n=1, width 1/6, measure 1/3]
     total measure of the families: 1  (= 1: every regular trajectory is periodic)
  (1/3, 1/5): N=2, delta=1/5
     period 13 = 6+5+2  [m1=6 m2=5 v=2 n=6, width 1/15, measure 2/5]
     period 21 = 9+10+2  [m1=9 m2=10 v=4 n=10, width 1/15, measure 3/5]
     total measure of the families: 1  (= 1: every regular trajectory is periodic)
  (1/4, 1/sqrt(30)): N=2, delta=1 - 2/15*sqrt(30)
     period 6 = 4+0+2  [m1=2 m2=0 v=0 n=1, width 1/2 - 1/15*sqrt(30), measure 1 - 2/15*sqrt(30)]
     total measure of the families: 1 - 2/15*sqrt(30)  (< 1: the rest is not periodic up to the cap)
  ((5-sqrt5)/10, sqrt5/10): N=2, delta=1 - 2/5*sqrt(5)
     period 4 = 2+2+0  [m1=2 m2=2 v=1 n=2, width -1 + 3/5*sqrt(5), measure -2 + 6/5*sqrt(5)]
     period 14 = 6+6+2  [m1=3 m2=3 v=1 n=3, width 1 - 2/5*sqrt(5), measure 3 - 6/5*sqrt(5)]
     total measure of the families: 1  (= 1: every regular trajectory is periodic)
