# planar_export.txt - generated by maple/01_planar.mpl
# unit support h=1, particle outside the boundary, d in [0,1]
# polynomials: coefficients in DESCENDING powers of d (rational)
# expressions: single-line Maple %a form; translate Pi, arccos, ln, ^
kernel cubic C2=80/7/Pi C3=16/Pi
kernel w2 n=4 P=0:1 1:4 C2=7/Pi C3=21/2/Pi
kernel w4 n=6 P=0:1 1:6 2:35/3 C2=9/Pi C3=495/32/Pi
kernel w6 n=8 P=0:1 1:8 2:25 3:32 C2=78/7/Pi C3=1365/64/Pi
planar3d cubic b1 deg=6: 16/5 -24/5 0 8/3 0 -7/5 1/2
planar3d cubic b2 deg=6: -16/15 24/5 -8 16/3 0 -8/5 8/15
planar3d w2 deg=8: 3/2 -15/2 14 -21/2 0 7/2 0 -3/2 1/2
planar3d w4 deg=11: 105/32 -22 1925/32 -165/2 825/16 0 -231/16 0 165/32 0 -55/32 1/2
planar3d w6 deg=14: 15/2 -8085/128 455/2 -28665/64 1001/2 -35035/128 0 2145/32 0 -3003/128 0 455/64 0 -245/128 1/2
planar2d cubic A: 160/7/Pi*(-1/160*arccos(2*d)-d*(-9/40*d^4*ln(d)+33/320*(-4*d^2+1)^(1/2)-31/160*d^2*(-4*d^2+1)^(1/2)-9/40*d^4*ln(2)+9/40*d^4*ln(1+(-4*d^2+1)^(1/2)))+1/20*arccos(d)-d*(3/40*d^4*ln(1+(-4*d^2+1)^(1/2))+1/2*d^2*ln(1+(-4*d^2+1)^(1/2))-3/40*d^4*ln(2)-1/2*d^2*ln(2)-37/160*d^2*(-4*d^2+1)^(1/2)-49/320*(-4*d^2+1)^(1/2)+1/5*(-d^2+1)^(1/2)-1/2*d^2*ln(1+(-d^2+1)^(1/2))+17/40*d^2*(-d^2+1)^(1/2)-3/40*d^4*ln(1+(-d^2+1)^(1/2))))
planar2d cubic B: 160/7/Pi*(1/20*arccos(d)-d*(3/40*d^4*ln(d)+1/2*d^2*ln(d)+1/5*(-d^2+1)^(1/2)-1/2*d^2*ln(1+(-d^2+1)^(1/2))+17/40*d^2*(-d^2+1)^(1/2)-3/40*d^4*ln(1+(-d^2+1)^(1/2))))
planar2d cubic join: 1/168*(64*Pi-294*3^(1/2)+249*ln(2+3^(1/2)))/Pi
planar2d w2: 14/Pi*(1/14*arccos(d)-d*(-5/28*d^6*ln(d)-3/2*d^4*ln(d)+5/28*d^6*ln(1+(-d^2+1)^(1/2))+3/2*d^4*ln(1+(-d^2+1)^(1/2))-97/84*d^4*(-d^2+1)^(1/2)-5/7*d^2*(-d^2+1)^(1/2)+11/42*(-d^2+1)^(1/2)))
planar2d w4: 18/Pi*(1/18*arccos(d)-d*(35/18*d^8*ln(d)+20/3*d^6*ln(d)-35/18*d^8*ln(1+(-d^2+1)^(1/2))-20/3*d^6*ln(1+(-d^2+1)^(1/2))+64/135*d^8*(-d^2+1)^(1/2)+1699/270*d^6*(-d^2+1)^(1/2)+329/135*d^4*(-d^2+1)^(1/2)-7/9*d^2*(-d^2+1)^(1/2)+13/54*(-d^2+1)^(1/2)))
planar2d w6: 156/7/Pi*(7/156*arccos(d)-d*(-231/416*d^12*ln(d)-63/4*d^10*ln(d)-385/12*d^8*ln(d)+231/416*d^12*ln(1+(-d^2+1)^(1/2))+63/4*d^10*ln(1+(-d^2+1)^(1/2))+385/12*d^8*ln(1+(-d^2+1)^(1/2))-24545/3744*d^10*(-d^2+1)^(1/2)-321691/9360*d^8*(-d^2+1)^(1/2)-251/26*d^6*(-d^2+1)^(1/2)+563/195*d^4*(-d^2+1)^(1/2)-341/390*d^2*(-d^2+1)^(1/2)+173/780*(-d^2+1)^(1/2)))
