Spline100:
Code:
> w0:=coeff(w,y0); w1:=coeff(w,y1); w2:=coeff(w,y2); w3:=coeff(w,y3); w4:=coeff(w,y4);
3 209 2 362
w0 := 1/153 x - ----- x + ----- x
13515 40545
3 418 2 724
w1 := - 2/51 x + ---- x - ----- x
4505 13515
3 1672 2 2896
w2 := 8/51 x - ---- x + ----- x
4505 13515
10 3 1254 2 724
w3 := - -- x + ---- x - --- x
17 901 901
61 3 9893 2
w4 := -- x - ---- x - 1/13515 x + 1
51 4505
Spline144:
Code:
> w0:=coeff(w,y0); w1:=coeff(w,y1); w2:=coeff(w,y2); w3:=coeff(w,y3); w4:=coeff(w,y4); w5:=coeff(w,y5);
3 2340 2 1351
w0 := - 1/571 x + ------ x - ------ x
564719 564719
3 14040 2 8106
w1 := 6/571 x - ------ x + ------ x
564719 564719
24 3 56160 2 32424
w2 := - --- x + ------ x - ------ x
571 564719 564719
90 3 210600 2 121590
w3 := --- x - ------ x + ------ x
571 564719 564719
336 3 786240 2 453936
w4 := - --- x + ------ x - ------ x
571 564719 564719
683 3 1240203 2
w5 := --- x - ------- x - 3/564719 x + 1
571 564719
The weights sum up to one for both splines (including their symmetric counterparts), so i suspect that they are correct.