qnorm [1 2 3 4] = 5.477225575051661 
qneg [1 2 3 4] = [-1 -2 -3 -4] 
qconj [1 2 3 4] = [1 -2 -3 -4] 
qaddr [1 2 3 4] 7 = [8 2 3 4] 
qmulr [1 2 3 4] 7 = [7 14 21 28] 
qadd [2 3 4 5] [3 4 5 6] = [5 7 9 11] 
qmul [2 3 4 5] [3 4 5 6] = [-56 16 24 26] 
qmul [3 4 5 6] [2 3 4 5] = [-56 18 20 28]