(* deq-NNP-NNP-0.m = lclm of the following operators, which according to Maple
are irreducible. All except the last have algebraic solutions, the last one has
a transcendental solution *)
{OrePolynomial[{{3*t^2 - 12*t^3 - 48*t^4 + 192*t^5, {2}}, 
   {17*t - 56*t^2 - 304*t^3 + 1024*t^4, {1}}, {16 - 30*t - 300*t^2 + 880*t^3, 
    {0}}}, OreAlgebraObject[{Der[t]}, Expand, #1 + #2 & , Expand[#1*#2] & , 
   None], DegreeLexicographic], OrePolynomial[
  {{-42*t^2 - 63*t^3 - 51*t^4 - 900*t^5 - 156*t^6 + 28224*t^7 + 187584*t^8 + 
     36864*t^9, {2}}, {-322*t - 420*t^2 + 1503*t^3 - 1512*t^4 + 30276*t^5 + 
     156672*t^6 + 812864*t^7 + 122880*t^8, {1}}, 
   {-448 - 420*t + 3840*t^2 + 3006*t^3 + 81660*t^4 + 115488*t^5 + 
     442880*t^6 + 49152*t^7, {0}}}, OreAlgebraObject[{Der[t]}, Expand, 
   #1 + #2 & , Expand[#1*#2] & , None], DegreeLexicographic], 
 OrePolynomial[{{3*t^2 - 12*t^3 - 48*t^4 + 192*t^5, {2}}, 
   {16*t - 76*t^2 - 224*t^3 + 1088*t^4, {1}}, 
   {14 - 84*t - 156*t^2 + 1040*t^3, {0}}}, OreAlgebraObject[{Der[t]}, Expand, 
   #1 + #2 & , Expand[#1*#2] & , None], DegreeLexicographic], 
 OrePolynomial[{{-6*t^2 + 3*t^3 + 384*t^4 - 2382*t^5 - 4392*t^6 + 39624*t^7 - 
     18816*t^8 - 36480*t^9 + 245760*t^10, {2}}, 
   {-50*t + 70*t^2 + 2728*t^3 - 15168*t^4 - 15720*t^5 + 254832*t^6 - 
     73664*t^7 - 47360*t^8 + 901120*t^9, {1}}, 
   {-80 + 220*t + 3616*t^2 - 17652*t^3 + 4008*t^4 + 292704*t^5 - 93152*t^6 - 
     8960*t^7 + 409600*t^8, {0}}}, OreAlgebraObject[{Der[t]}, Expand, 
   #1 + #2 & , Expand[#1*#2] & , None], DegreeLexicographic], 
 OrePolynomial[{{t, {1}}, {2, {0}}}, OreAlgebraObject[{Der[t]}, Expand, 
   #1 + #2 & , Expand[#1*#2] & , None], DegreeLexicographic], 
 OrePolynomial[{{-t^2 + 2*t^3 + 16*t^4 - 48*t^5 + 256*t^7, {2}}, 
   {-7*t + 20*t^2 + 96*t^3 - 256*t^4 + 128*t^5 + 1024*t^6, {1}}, 
   {-8 + 28*t + 112*t^2 - 160*t^3 + 320*t^4 + 512*t^5, {0}}}, 
  OreAlgebraObject[{Der[t]}, Expand, #1 + #2 & , Expand[#1*#2] & , None], 
  DegreeLexicographic]}
