# sphere_export.txt - generated by maple/03_sphere.mpl
# solid ball radius R, particle outside, unit support h=1, d in [0,1]
# branch 1: 2R+d >= 1 (qmax = 1);  branch 2: 2R+d < 1 (qmax = 2R+d)
# lambda_sph(R,d) = N(R,d)/(R+d);  N = sum c R^i d^j, entries i:j:c
kernel w2 n=4 P=0:1 1:4 C3=21/2/Pi
sph b1 w2: 1:8:3/2 1:7:-15/2 1:6:14 1:5:-21/2 1:4:0 1:3:7/2 1:2:0 1:1:-3/2 1:0:1/2 0:9:1/6 0:8:-15/16 0:7:2 0:6:-7/4 0:5:0 0:4:7/8 0:3:0 0:2:-3/4 0:1:1/2 0:0:-5/48
sph b2 w2: 9:0:896/3 8:1:1152 8:0:-720 7:2:1920 7:1:-2400 7:0:640 6:3:1792 6:2:-3360 6:1:1792 6:0:-224 5:4:1008 5:3:-2520 5:2:2016 5:1:-504 5:0:0 4:5:336 4:4:-1050 4:3:1120 4:2:-420 4:1:0 4:0:14 3:6:56 3:5:-210 3:4:280 3:3:-140 3:2:0 3:1:14 3:0:0
kernel w4 n=6 P=0:1 1:6 2:35/3 C3=495/32/Pi
sph b1 w4: 1:11:105/32 1:10:-22 1:9:1925/32 1:8:-165/2 1:7:825/16 1:6:0 1:5:-231/16 1:4:0 1:3:165/32 1:2:0 1:1:-55/32 1:0:1/2 0:12:35/128 0:11:-2 0:10:385/64 0:9:-55/6 0:8:825/128 0:7:0 0:6:-77/32 0:5:0 0:4:165/128 0:3:0 0:2:-55/64 0:1:1/2 0:0:-35/384
sph b2 w4: 12:0:5600 11:1:30240 11:0:-18432 10:2:73920 10:1:-90112 10:0:24640 9:3:107800 9:2:-197120 9:1:107800 9:0:-49280/3 8:4:103950 8:3:-253440 8:2:207900 8:1:-63360 8:0:4950 7:5:69300 7:4:-211200 7:3:231000 7:2:-105600 7:1:16500 7:0:0 6:6:32340 6:5:-118272 6:4:161700 6:3:-98560 6:2:23100 6:1:0 6:0:-308 5:7:10395 5:6:-44352 5:5:72765 5:4:-55440 5:3:17325 5:2:0 5:1:-693 5:0:0 4:8:17325/8 4:7:-10560 4:6:40425/2 4:5:-18480 4:4:28875/4 4:3:0 4:2:-1155/2 4:1:0 4:0:165/8 3:9:1925/8 3:8:-1320 3:7:5775/2 3:6:-3080 3:5:5775/4 3:4:0 3:3:-385/2 3:2:0 3:1:165/8 3:0:0
kernel w6 n=8 P=0:1 1:8 2:25 3:32 C3=1365/64/Pi
sph b1 w6: 1:14:15/2 1:13:-8085/128 1:12:455/2 1:11:-28665/64 1:10:1001/2 1:9:-35035/128 1:8:0 1:7:2145/32 1:6:0 1:5:-3003/128 1:4:0 1:3:455/64 1:2:0 1:1:-245/128 1:0:1/2 0:15:1/2 0:14:-1155/256 0:13:35/2 0:12:-9555/256 0:11:91/2 0:10:-7007/256 0:9:0 0:8:2145/256 0:7:0 0:6:-1001/256 0:5:0 0:4:455/256 0:3:0 0:2:-245/256 0:1:1/2 0:0:-21/256
sph b2 w6: 15:0:106496 14:1:737280 14:0:-443520 13:2:2365440 13:1:-2845920 13:0:788480 12:3:4659200 12:2:-8408400 12:1:4659200 12:0:-764400 11:4:6289920 11:3:-15135120 11:2:12579840 11:1:-4127760 11:0:419328 10:5:6150144 10:4:-18498480 10:3:20500480 10:2:-10090080 10:1:2050048 10:0:-112112 9:6:4484480 9:5:-16186170 9:4:22422400 9:3:-14714700 9:2:4484480 9:1:-490490 9:0:0 8:7:2471040 8:6:-10405395 8:5:17297280 8:4:-14189175 8:3:5765760 8:2:-945945 8:1:0 8:0:6435 7:8:1029600 7:7:-4954950 7:6:9609600 7:5:-9459450 7:4:4804800 7:3:-1051050 7:2:0 7:1:21450 7:0:0 6:9:320320 6:8:-3468465/2 6:7:3843840 6:6:-4414410 6:5:2690688 6:4:-735735 6:3:0 6:2:30030 6:1:0 6:0:-1001/2 5:10:72072 5:9:-3468465/8 5:8:1081080 5:7:-2837835/2 5:6:1009008 5:5:-1324323/4 5:4:0 5:3:45045/2 5:2:0 5:1:-9009/8 5:0:0 4:11:10920 4:10:-1156155/16 4:9:200200 4:8:-4729725/16 4:7:240240 4:6:-735735/8 4:5:0 4:4:75075/8 4:3:0 4:2:-15015/16 4:1:0 4:0:455/16 3:12:910 3:11:-105105/16 3:10:20020 3:9:-525525/16 3:8:30030 3:7:-105105/8 3:6:0 3:5:15015/8 3:4:0 3:3:-5005/16 3:2:0 3:1:455/16 3:0:0
