(1)10,11
 3 
$\frac{\mathrm{\pi}}{2}$
 
$\frac{1,1,0}{0,1,1}$
$\frac{1,2,1}{1,0,1}$

$\sqrt{\frac{2}{3}}=0.816$

$\frac{1}{2}=0.500$

(2)10
 3c

$\frac{2\mathrm{\pi}}{3}$
 
$\frac{\sqrt{3}\left[0,1,1\right]}{\left[2,1,1\right]}$
 1  0 
(3)1214,10,15
 4c

$\frac{\mathrm{\pi}}{2}$
 
$\frac{1,1,1,1,}{1,1,1,1}$
$\frac{0,1,0,1,}{1,0,1,0}$
 1  0 
(4)16,15
 4 
$\frac{\mathrm{\pi}}{2}$
 
$\frac{0,2,2,0}{1,1,1,1}$

$\sqrt{\frac{2}{3}}=0.816$

$\frac{1}{3}=0.333$

(5)17,15
 5d

$\frac{\mathrm{\pi}}{2}$
 
$\frac{0,2,0,2,0}{1,0,2,0,1}$

$4\sqrt{\frac{2}{35}}=0.956$

$\frac{1}{7}=0.143$

(6)15, e
 5 
$\frac{\mathrm{\pi}}{2}$
 
$\frac{1,4,0,4,1}{1,2,6,2,1}$

$\frac{4}{5}=0.800$

$\frac{3}{20}=0.150$

(7)18
 6f

$\frac{\mathrm{\pi}}{2}$
 
$\frac{0,2,2,2,2,0}{1,1,2,2,1,1}$

$\frac{4}{\sqrt{21}}=0.873$

$\frac{1}{7}=0.143$

(8)15, e
 6 
$\frac{\mathrm{\pi}}{2}$
 
$\frac{0,3,0,4,0,1}{1,0,4,0,3,0}$

$4\sqrt{\frac{2}{39}}=0.906$
 0 
(9)15, e
 6 
$\frac{\mathrm{\pi}}{2}$
 
$\frac{0,4,4,4,4,0}{1,1,6,6,1,1}$

$\frac{8}{\sqrt{105}}=0.781$

$\frac{3}{35}=0.086$

(10)2,3
 7g

$\frac{\mathrm{\pi}}{2}$
 
$\frac{1,0,3,0,3,0,1}{0,2,0,4,0,2,0}$

$\frac{8}{\sqrt{77}}=0.912$

$\frac{1}{11}=0.091$

(11)19
 7 
$\frac{\mathrm{\pi}}{2}$
 
$\frac{1,0,7,0,7,0,1}{0,4,0,8,0,4,0}$

$\frac{16}{7\sqrt{7}}=0.864$

$\frac{1}{49}=0.020$

(12)20
 7d

$\frac{\mathrm{\pi}}{3}$
 
$\frac{\sqrt{3}\left[1,3,3,0,3,3,1\right]}{3\left[1,1,1,2,1,1,1\right]}$

$6\sqrt{\frac{3}{119}}=0.953$

$\frac{2}{17}=0.118$

(13)20
 7 
$\frac{\mathrm{\pi}}{3}$
 
$\frac{\sqrt{3}\left[0,1,1,0,1,1,0\right]}{1,1,1,2,1,1,1}$

$6\sqrt{\frac{2}{77}}=0.967$

$\frac{1}{11}=0.091$

(14)19
 9 
$\frac{\mathrm{\pi}}{4}$
 
$\frac{0,1,2,1,0,1,2,1,0}{1,1,0,1,2,1,0,1,1}$
 0.970 
$\frac{1}{11}=0.091$

(15)3
 10f

$\frac{\mathrm{\pi}}{3}$
 
$\frac{\sqrt{3}\left[1,3,3,1,6,6,1,3,3,1\right]}{1,1,7,11,6,6,11,7,1,1}$

$9\sqrt{\frac{2}{235}}=0.830$

$\frac{5}{47}=0.106$

(16)  11g

$\frac{\mathrm{\pi}}{3}$
 
$\frac{\sqrt{3}\left[1,2,0,4,5,0,5,4,0,2,1\right]}{1,2,6,4,5,12,5,4,6,2,1}$

$8\sqrt{\frac{2}{803}}=0.898$

$\frac{4}{73}=0.055$

(17)2
 11 
$\frac{\mathrm{\pi}}{3}$
 
$\frac{\sqrt{3}\left[0,1,4,7,6,0,6,7,4,1,0\right]}{2,5,6,4,8,12,8,4,6,5,2}$

$18\sqrt{\frac{2}{1397}}=0.681$

$\frac{26}{127}=0.205$

(18)19
 11 
$\frac{\mathrm{\pi}}{2}$
 
$\frac{1,0,8,0,15,0,15,0,8,0,1}{0,4,0,12,0,16,0,12,0,4,0}$

$\frac{48}{17\sqrt{11}}=0.851$

$\frac{1}{289}=0.003$

(19)  12 
$\frac{\mathrm{\pi}}{3}$


$\frac{\sqrt{3}\left[0,9,9,9,27,18,18,27,9,9,9,0\right]}{2,1,7,11,1,16,16,1,11,7,1,2}$

$\frac{\sqrt{3}}{2}=0.866$
 0 