I have the following code which creates a spline function

x <- c(1, 12, 24, 36, 60, 120, 200, 240, 300, 360)
y <- c(.2, 8, 8, 8, 8, 8, 8, 8, 18, 50)


Baseline <- cbind(x,y)
Turnover <- splinefun(Baseline[,1], Baseline[,2], method = "natural")
plot(Turnover(seq(1, 360, 1)), type = "l")

If I change the Y ordinates the spline changes accordingly.  However, the code 
is the same on inspection.  Thus, I figure the basis must be stored somewhere.  
I have look through the documentation and cannot find its location.  Can anyone 
enlighten me on what is going on and where I can find the basis matrix? 
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