#degrees and a3 estimators, sorted by degrees:

0.000000   0.1338501  # 0/1
5.710593   0.1388952  # 1/10
6.340185   0.1439473  # 1/9
7.125016   0.1395405  # 1/8
8.130094   0.1457459  # 1/7
9.462341   0.1470862  # 1/6
11.309932  0.1400901  # 1/5
12.528796  0.1463571  # 2/9
14.036243  0.1424111  # 1/4
15.945381  0.1490119  # 2/7
16.699244  0.1481400  # 3/10
18.434932  0.1573721  # 1/3
20.556045  0.1460165  # 3/8
21.801409  0.1447367  # 2/5
23.198570  0.1514461  # 3/7
23.962468  0.1507898  # 4/9
26.565051  0.1476492  # 1/2
29.054624  0.1483589  # 5/9
29.744900  0.1527597  # 4/7
30.963757  0.1544729  # 3/5
32.005383  0.1486302  # 5/8
33.690081  0.1580641  # 2/3
34.992020  0.1511806  # 7/10
35.537689  0.1485102  # 5/7
36.869898  0.1491351  # 3/4
37.874992  0.1499194  # 7/9
38.659808  0.1493614  # 4/5
39.805560  0.1510008  # 5/6
40.601299  0.1552018  # 6/7
41.185925  0.1525910  # 7/8
41.633543  0.1549783  # 8/9
41.987212  0.1527083  # 9/10
45.000000  0.1526600  # 1/1