r(t,y1) =  [[1. 1.]
 [1. 1.]]
r(t,y2) =  [[1. 1.]
 [1. 1.]]
r(t,y3) =  [[1. 1.]
 [1. 1.]]
r(t,y4) =  [[ 1. -1.]
 [-1.  1.]]
r(t,y5) =  [[1.         0.97986371]
 [0.97986371 1.        ]]
r(t,y6) =  [[1.         0.39735971]
 [0.39735971 1.        ]]
r(t,y7) =  [[1. 0.]
 [0. 1.]]
r(t,y8) =  [[ 1.         -0.34919312]
 [-0.34919312  1.        ]]
[[ 1.00000000e+00  1.00000000e+00  1.00000000e+00  1.00000000e+00
  -1.00000000e+00  9.79863710e-01  3.97359707e-01  0.00000000e+00
  -3.49193119e-01]
 [ 1.00000000e+00  1.00000000e+00  1.00000000e+00  1.00000000e+00
  -1.00000000e+00  9.79863710e-01  3.97359707e-01 -1.92296269e-17
  -3.49193119e-01]
 [ 1.00000000e+00  1.00000000e+00  1.00000000e+00  1.00000000e+00
  -1.00000000e+00  9.79863710e-01  3.97359707e-01  1.15377761e-17
  -3.49193119e-01]
 [ 1.00000000e+00  1.00000000e+00  1.00000000e+00  1.00000000e+00
  -1.00000000e+00  9.79863710e-01  3.97359707e-01 -1.92296269e-17
  -3.49193119e-01]
 [-1.00000000e+00 -1.00000000e+00 -1.00000000e+00 -1.00000000e+00
   1.00000000e+00 -9.79863710e-01 -3.97359707e-01  1.92296269e-17
   3.49193119e-01]
 [ 9.79863710e-01  9.79863710e-01  9.79863710e-01  9.79863710e-01
  -9.79863710e-01  1.00000000e+00  2.06130895e-01 -1.99667498e-01
  -5.29260250e-01]
 [ 3.97359707e-01  3.97359707e-01  3.97359707e-01  3.97359707e-01
  -3.97359707e-01  2.06130895e-01  1.00000000e+00  9.17662935e-01
   7.21141494e-01]
 [ 0.00000000e+00 -1.92296269e-17  1.15377761e-17 -1.92296269e-17
   1.92296269e-17 -1.99667498e-01  9.17662935e-01  1.00000000e+00
   9.37050781e-01]
 [-3.49193119e-01 -3.49193119e-01 -3.49193119e-01 -3.49193119e-01
   3.49193119e-01 -5.29260250e-01  7.21141494e-01  9.37050781e-01
   1.00000000e+00]]