{MI2l[p2n1, -3][x] -> 0, MI2l[p2n1, -2][x] -> M^4*x^2, 
 MI2l[p2n1, -1][x] -> -2*M^4*x^2*(-1 + HPL[{0}, x]), 
 MI2l[p2n1, 0][x] -> 
  (M^4*x^2*(18 + Pi^2 + 12*(-2 + HPL[{0}, x])*HPL[{0}, x]))/6, 
 MI2l[p2n1, 1][x] -> 
  (M^4*x^2*(12 + Pi^2 - HPL[{0}, x]*(18 + Pi^2 + 4*(-3 + HPL[{0}, x])*
        HPL[{0}, x]) - 2*Zeta[3]))/3, MI2l[p2n1, 2][x] -> 
  (M^4*x^2*(1800 + 180*Pi^2 + 7*Pi^4 - 480*Zeta[3] + 
     120*HPL[{0}, x]*(-24 - 2*Pi^2 + HPL[{0}, x]*(18 + Pi^2 + 
         2*(-4 + HPL[{0}, x])*HPL[{0}, x]) + 4*Zeta[3])))/360, 
 MI2l[p2n1, 3][x] -> -(M^4*x^2*(-7*Pi^4 + 40*(18 + Pi^2)*HPL[{0}, x]^3 - 
      240*HPL[{0}, x]^4 + 48*HPL[{0}, x]^5 + HPL[{0}, x]*
       (1800 + 180*Pi^2 + 7*Pi^4 - 480*Zeta[3]) - 120*HPL[{0}, x]^2*
       (12 + Pi^2 - 2*Zeta[3]) + 20*Pi^2*(-6 + Zeta[3]) + 
      72*(-15 + 5*Zeta[3] + Zeta[5])))/180, 
 MI2l[p2n1, 4][x] -> (M^4*x^2*(12600*Pi^2 + 882*Pi^4 + 31*Pi^6 - 
     1008*(-105 + 40*Zeta[3] + 12*Zeta[5]) + 
     84*(20*(18 + Pi^2)*HPL[{0}, x]^4 - 96*HPL[{0}, x]^5 + 16*HPL[{0}, x]^6 + 
       HPL[{0}, x]^2*(1800 + 180*Pi^2 + 7*Pi^4 - 480*Zeta[3]) - 
       80*HPL[{0}, x]^3*(12 + Pi^2 - 2*Zeta[3]) + 
       40*Zeta[3]*(-Pi^2 + Zeta[3]) + 2*HPL[{0}, x]*
        (-7*Pi^4 + 20*Pi^2*(-6 + Zeta[3]) + 72*(-15 + 5*Zeta[3] + 
           Zeta[5])))))/15120, MI2l[p2n2, -3][x] -> 0, 
 MI2l[p2n2, -2][x] -> M^4*x^4, MI2l[p2n2, -1][x] -> 
  2*M^4*x^4*(1 - 2*HPL[{0}, x]), MI2l[p2n2, 0][x] -> 
  (M^4*x^4*(18 + Pi^2 + 48*(-1 + HPL[{0}, x])*HPL[{0}, x]))/6, 
 MI2l[p2n2, 1][x] -> 
  (M^4*x^4*(12 + Pi^2 - 2*HPL[{0}, x]*(18 + Pi^2 + 
       8*HPL[{0}, x]*(-3 + 2*HPL[{0}, x])) - 2*Zeta[3]))/3, 
 MI2l[p2n2, 2][x] -> (M^4*x^4*(1800 + 180*Pi^2 + 7*Pi^4 - 480*Zeta[3] + 
     480*HPL[{0}, x]*(-12 - Pi^2 + HPL[{0}, x]*(18 + Pi^2 + 
         8*(-2 + HPL[{0}, x])*HPL[{0}, x]) + 2*Zeta[3])))/360, 
 MI2l[p2n2, 3][x] -> -(M^4*x^4*(-7*Pi^4 + 320*(18 + Pi^2)*HPL[{0}, x]^3 - 
      3840*HPL[{0}, x]^4 + 1536*HPL[{0}, x]^5 + 2*HPL[{0}, x]*
       (1800 + 180*Pi^2 + 7*Pi^4 - 480*Zeta[3]) - 480*HPL[{0}, x]^2*
       (12 + Pi^2 - 2*Zeta[3]) + 20*Pi^2*(-6 + Zeta[3]) + 
      72*(-15 + 5*Zeta[3] + Zeta[5])))/180, 
 MI2l[p2n2, 4][x] -> (M^4*x^4*(12600*Pi^2 + 882*Pi^4 + 31*Pi^6 - 
     1008*(-105 + 40*Zeta[3] + 12*Zeta[5]) + 
     336*(80*(18 + Pi^2)*HPL[{0}, x]^4 - 768*HPL[{0}, x]^5 + 
       256*HPL[{0}, x]^6 + HPL[{0}, x]^2*(1800 + 180*Pi^2 + 7*Pi^4 - 
         480*Zeta[3]) - 160*HPL[{0}, x]^3*(12 + Pi^2 - 2*Zeta[3]) + 
       10*Zeta[3]*(-Pi^2 + Zeta[3]) + HPL[{0}, x]*
        (-7*Pi^4 + 20*Pi^2*(-6 + Zeta[3]) + 72*(-15 + 5*Zeta[3] + 
           Zeta[5])))))/15120, MI2l[p3n1, -3][x] -> 0, 
 MI2l[p3n1, -2][x] -> -(M^2*(1 + 2*x^2))/2, 
 MI2l[p3n1, -1][x] -> -(M^2*(5 + 12*x^2))/4 + 4*M^2*x^2*HPL[{0}, x], 
 MI2l[p3n1, 0][x] -> -(M^2*(33 + 144*x^2 + 2*Pi^2*(5 - 6*x^2 + 4*x^4)))/24 + 
   14*M^2*x^2*HPL[{0}, x] + 2*M^2*(-1 + x^2)^2*HPL[{-1, 0}, x] - 
   4*M^2*x^2*(2 + x^2)*HPL[{0, 0}, x] - 2*M^2*(-1 + x^2)^2*HPL[{1, 0}, x], 
 MI2l[p3n1, 1][x] -> 2*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1}, x] + 
   (M^2*(111 + 2*Pi^2)*x^2*HPL[{0}, x])/3 + M^2*(1 + x)^2*(5 + x*(-14 + 5*x))*
    HPL[{-1, 0}, x] - 2*M^2*x^2*(12 + 5*x^2)*HPL[{0, 0}, x] - 
   M^2*(-1 + x)^2*(5 + x*(14 + 5*x))*HPL[{1, 0}, x] - 
   4*M^2*(-1 + x^2)^2*HPL[{-1, -1, 0}, x] + 8*M^2*(-1 + x^2)^2*
    HPL[{-1, 1, 0}, x] + 8*M^2*x^2*(2 + 3*x^2)*HPL[{0, 0, 0}, x] + 
   8*M^2*(-1 + x^2)^2*HPL[{1, -1, 0}, x] - 4*M^2*(-1 + x^2)^2*
    HPL[{1, 1, 0}, x] - 
   (M^2*(-165 + 2*Pi^2*(25 + 4*x*(12 + x*(-15 + x*(12 + 5*x)))) + 
      176*Zeta[3] + 8*x^2*(45 + 4*(-13 + 6*x^2)*Zeta[3])))/48, 
 MI2l[p3n1, 2][x] -> 16*M^2*x*(1 + x^2)*HPL[{-2, 0}, x] - 
   4*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1, -1}, x] - 
   (M^2*(1 + x)^2*(-33 + 22*Pi^2*(-1 + x)^2 + 3*(74 - 11*x)*x)*
     HPL[{-1, 0}, x])/6 - (M^2*x^2*(144 + 33*x^2 + 2*Pi^2*(2 + x^2))*
     HPL[{0, 0}, x])/3 + 8*M^2*Pi^2*(-1 + x^2)^2*HPL[{1, -1}, x] - 
   (M^2*(-1 + x)^2*(33 + 26*Pi^2*(1 + x)^2 + 3*x*(74 + 11*x))*HPL[{1, 0}, x])/
    6 + 16*M^2*x*(1 + x^2)*HPL[{2, 0}, x] - 8*M^2*(-1 + x^2)^2*
    HPL[{-1, -2, 0}, x] - 2*M^2*(1 + x)^2*(5 + x*(-14 + 5*x))*
    HPL[{-1, -1, 0}, x] + 4*M^2*(1 + x)^2*(5 + x*(-14 + 5*x))*
    HPL[{-1, 1, 0}, x] - 8*M^2*(-1 + x^2)^2*HPL[{-1, 2, 0}, x] + 
   4*M^2*x^2*(8 + 15*x^2)*HPL[{0, 0, 0}, x] - 8*M^2*(-1 + x^2)^2*
    HPL[{1, -2, 0}, x] + 4*M^2*(-1 + x)^2*(5 + x*(14 + 5*x))*
    HPL[{1, -1, 0}, x] - 2*M^2*(-1 + x)^2*(5 + x*(14 + 5*x))*
    HPL[{1, 1, 0}, x] - 8*M^2*(-1 + x^2)^2*HPL[{1, 2, 0}, x] + 
   8*M^2*(-1 + x^2)^2*HPL[{-1, -1, -1, 0}, x] - 
   16*M^2*(-1 + x^2)^2*HPL[{-1, -1, 1, 0}, x] - 
   16*M^2*(-1 + x^2)^2*HPL[{-1, 0, 0, 0}, x] - 32*M^2*(-1 + x^2)^2*
    HPL[{-1, 1, -1, 0}, x] + 16*M^2*(-1 + x^2)^2*HPL[{-1, 1, 1, 0}, x] - 
   16*M^2*x^2*(2 + 7*x^2)*HPL[{0, 0, 0, 0}, x] - 
   16*M^2*(-1 + x^2)^2*HPL[{1, -1, -1, 0}, x] + 
   32*M^2*(-1 + x^2)^2*HPL[{1, -1, 1, 0}, x] + 16*M^2*(-1 + x^2)^2*
    HPL[{1, 0, 0, 0}, x] + 16*M^2*(-1 + x^2)^2*HPL[{1, 1, -1, 0}, x] - 
   8*M^2*(-1 + x^2)^2*HPL[{1, 1, 1, 0}, x] + 
   (M^2*x*HPL[{0}, x]*(2*Pi^2*(24 + x*(7 + 24*x)) + x*(525 - 16*Zeta[3])))/
    6 - 4*M^2*(-1 + x^2)^2*HPL[{1}, x]*(Pi^2*Log[4] + 3*Zeta[3]) - 
   M^2*(1 + x)^2*HPL[{-1}, x]*
    (Pi^2*(-5 + 14*x - 5*x^2 + 8*(-1 + x)^2*Log[2]) - 
     12*(-1 + x)^2*Zeta[3]) + 
   (M^2*(-2*Pi^4*(303 - 578*x^2 + 296*x^4) + 
      30*Pi^2*(-55 + 4*x*(-156 + 192*Log[2] + 
          x*(114 + x*(-156 - 11*x + 192*Log[2])))) + 
      15*(2847 - 880*Zeta[3] + 24*x^2*(21 + 8*(19 - 5*x^2)*Zeta[3]))))/1440, 
 MI2l[p3n1, 3][x] -> 16*M^2*Pi^2*x*(1 + x^2)*HPL[{-2}, x] - 
   64*M^2*x*(1 + x^2)*HPL[{-3, 0}, x] + 104*M^2*x*(1 + x^2)*HPL[{-2, 0}, x] - 
   8*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1, -2}, x] - 8*M^2*Pi^2*(-1 + x^2)^2*
    HPL[{1, -2}, x] + 104*M^2*x*(1 + x^2)*HPL[{2, 0}, x] - 
   64*M^2*x*(1 + x^2)*HPL[{3, 0}, x] - 32*M^2*x*(1 + x^2)*
    HPL[{-2, -1, 0}, x] + 64*M^2*x*(1 + x^2)*HPL[{-2, 1, 0}, x] + 
   32*M^2*(-1 + x^2)^2*HPL[{-1, -3, 0}, x] - 
   4*M^2*(1 + x)^2*(5 + x*(-14 + 5*x))*HPL[{-1, -2, 0}, x] + 
   8*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1, -1, -1}, x] + 
   (M^2*(1 + x)^2*(-33 + 22*Pi^2*(-1 + x)^2 + 3*(74 - 11*x)*x)*
     HPL[{-1, -1, 0}, x])/3 + 16*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1, 0, 0}, x] - 
   32*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1, 1, -1}, x] + 
   (2*M^2*(1 + x)^2*(33 + 26*Pi^2*(-1 + x)^2 + 3*x*(-74 + 11*x))*
     HPL[{-1, 1, 0}, x])/3 - 4*M^2*(1 + x)^2*(5 + x*(-14 + 5*x))*
    HPL[{-1, 2, 0}, x] + 32*M^2*(-1 + x^2)^2*HPL[{-1, 3, 0}, x] + 
   (2*M^2*x^2*(-12 + 99*x^2 + Pi^2*(4 + 6*x^2))*HPL[{0, 0, 0}, x])/3 + 
   32*M^2*(-1 + x^2)^2*HPL[{1, -3, 0}, x] - 4*M^2*(-1 + x)^2*
    (5 + x*(14 + 5*x))*HPL[{1, -2, 0}, x] - 16*M^2*Pi^2*(-1 + x^2)^2*
    HPL[{1, -1, -1}, x] - (2*M^2*(-1 + x)^2*(22*Pi^2*(1 + x)^2 - 
      3*(11 + x*(74 + 11*x)))*HPL[{1, -1, 0}, x])/3 + 
   16*M^2*Pi^2*(-1 + x^2)^2*HPL[{1, 0, 0}, x] + 16*M^2*Pi^2*(-1 + x^2)^2*
    HPL[{1, 1, -1}, x] - (M^2*(-1 + x)^2*(33 + 26*Pi^2*(1 + x)^2 + 
      3*x*(74 + 11*x))*HPL[{1, 1, 0}, x])/3 - 
   4*M^2*(-1 + x)^2*(5 + x*(14 + 5*x))*HPL[{1, 2, 0}, x] + 
   32*M^2*(-1 + x^2)^2*HPL[{1, 3, 0}, x] - 64*M^2*x*(1 + x^2)*
    HPL[{2, -1, 0}, x] + 32*M^2*x*(1 + x^2)*HPL[{2, 1, 0}, x] + 
   16*M^2*(-1 + x^2)^2*HPL[{-1, -2, -1, 0}, x] - 
   32*M^2*(-1 + x^2)^2*HPL[{-1, -2, 1, 0}, x] + 
   16*M^2*(-1 + x^2)^2*HPL[{-1, -1, -2, 0}, x] + 
   4*M^2*(1 + x)^2*(5 + x*(-14 + 5*x))*HPL[{-1, -1, -1, 0}, x] - 
   8*M^2*(1 + x)^2*(5 + x*(-14 + 5*x))*HPL[{-1, -1, 1, 0}, x] + 
   16*M^2*(-1 + x^2)^2*HPL[{-1, -1, 2, 0}, x] - 
   8*M^2*(1 + x)^2*(5 + x*(-14 + 5*x))*HPL[{-1, 0, 0, 0}, x] + 
   32*M^2*(-1 + x^2)^2*HPL[{-1, 1, -2, 0}, x] - 
   16*M^2*(1 + x)^2*(5 + x*(-14 + 5*x))*HPL[{-1, 1, -1, 0}, x] + 
   8*M^2*(1 + x)^2*(5 + x*(-14 + 5*x))*HPL[{-1, 1, 1, 0}, x] + 
   32*M^2*(-1 + x^2)^2*HPL[{-1, 1, 2, 0}, x] + 32*M^2*(-1 + x^2)^2*
    HPL[{-1, 2, -1, 0}, x] - 16*M^2*(-1 + x^2)^2*HPL[{-1, 2, 1, 0}, x] - 
   280*M^2*x^4*HPL[{0, 0, 0, 0}, x] + 16*M^2*(-1 + x^2)^2*
    HPL[{1, -2, -1, 0}, x] - 32*M^2*(-1 + x^2)^2*HPL[{1, -2, 1, 0}, x] - 
   32*M^2*(-1 + x^2)^2*HPL[{1, -1, -2, 0}, x] - 
   8*M^2*(-1 + x)^2*(5 + x*(14 + 5*x))*HPL[{1, -1, -1, 0}, x] + 
   16*M^2*(-1 + x)^2*(5 + x*(14 + 5*x))*HPL[{1, -1, 1, 0}, x] - 
   32*M^2*(-1 + x^2)^2*HPL[{1, -1, 2, 0}, x] + 
   8*M^2*(-1 + x)^2*(5 + x*(14 + 5*x))*HPL[{1, 0, 0, 0}, x] - 
   16*M^2*(-1 + x^2)^2*HPL[{1, 1, -2, 0}, x] + 
   8*M^2*(-1 + x)^2*(5 + x*(14 + 5*x))*HPL[{1, 1, -1, 0}, x] - 
   4*M^2*(-1 + x)^2*(5 + x*(14 + 5*x))*HPL[{1, 1, 1, 0}, x] - 
   16*M^2*(-1 + x^2)^2*HPL[{1, 1, 2, 0}, x] + 32*M^2*(-1 + x^2)^2*
    HPL[{1, 2, -1, 0}, x] - 16*M^2*(-1 + x^2)^2*HPL[{1, 2, 1, 0}, x] - 
   16*M^2*(-1 + x^2)^2*HPL[{-1, -1, -1, -1, 0}, x] + 
   32*M^2*(-1 + x^2)^2*HPL[{-1, -1, -1, 1, 0}, x] + 
   32*M^2*(-1 + x^2)^2*HPL[{-1, -1, 0, 0, 0}, x] + 
   64*M^2*(-1 + x^2)^2*HPL[{-1, -1, 1, -1, 0}, x] - 
   32*M^2*(-1 + x^2)^2*HPL[{-1, -1, 1, 1, 0}, x] + 
   96*M^2*(-1 + x^2)^2*HPL[{-1, 0, 0, 0, 0}, x] + 
   64*M^2*(-1 + x^2)^2*HPL[{-1, 1, -1, -1, 0}, x] - 
   128*M^2*(-1 + x^2)^2*HPL[{-1, 1, -1, 1, 0}, x] - 
   64*M^2*(-1 + x^2)^2*HPL[{-1, 1, 0, 0, 0}, x] - 
   64*M^2*(-1 + x^2)^2*HPL[{-1, 1, 1, -1, 0}, x] + 
   32*M^2*(-1 + x^2)^2*HPL[{-1, 1, 1, 1, 0}, x] + 
   32*M^2*x^2*(2 + 15*x^2)*HPL[{0, 0, 0, 0, 0}, x] + 
   32*M^2*(-1 + x^2)^2*HPL[{1, -1, -1, -1, 0}, x] - 
   64*M^2*(-1 + x^2)^2*HPL[{1, -1, -1, 1, 0}, x] - 
   64*M^2*(-1 + x^2)^2*HPL[{1, -1, 0, 0, 0}, x] - 
   128*M^2*(-1 + x^2)^2*HPL[{1, -1, 1, -1, 0}, x] + 
   64*M^2*(-1 + x^2)^2*HPL[{1, -1, 1, 1, 0}, x] - 
   96*M^2*(-1 + x^2)^2*HPL[{1, 0, 0, 0, 0}, x] - 
   32*M^2*(-1 + x^2)^2*HPL[{1, 1, -1, -1, 0}, x] + 
   64*M^2*(-1 + x^2)^2*HPL[{1, 1, -1, 1, 0}, x] + 
   32*M^2*(-1 + x^2)^2*HPL[{1, 1, 0, 0, 0}, x] + 
   32*M^2*(-1 + x^2)^2*HPL[{1, 1, 1, -1, 0}, x] - 
   16*M^2*(-1 + x^2)^2*HPL[{1, 1, 1, 1, 0}, x] + 
   (M^2*x*HPL[{0}, x]*(14*Pi^4*x + 30*Pi^2*(312 + 37*x + 312*x^2 - 
        192*(1 + x^2)*Log[4]) + 15*x*(2343 - 112*Zeta[3])))/180 + 
   16*M^2*(-1 + x^2)^2*HPL[{-1, 1}, x]*(Pi^2*Log[4] + 3*Zeta[3]) - 
   8*M^2*(-1 + x^2)^2*HPL[{1, 1}, x]*(Pi^2*Log[4] + 3*Zeta[3]) + 
   (M^2*(1 + x)^2*HPL[{-1, 0}, x]*(-15*(11 + x*(70 + 11*x)) + 
      2*Pi^2*(-11*(5 + x*(-14 + 5*x)) + 96*(-1 + x)^2*Log[4]) - 
      16*(-1 + x)^2*Zeta[3]))/12 + 2*M^2*(1 + x)^2*HPL[{-1, -1}, x]*
    (Pi^2*(-5 + 14*x - 5*x^2 + 8*(-1 + x)^2*Log[2]) - 
     12*(-1 + x)^2*Zeta[3]) - 4*M^2*(-1 + x)^2*HPL[{1, -1}, x]*
    (Pi^2*(-5 - 14*x - 5*x^2 + 8*(1 + x)^2*Log[2]) - 12*(1 + x)^2*Zeta[3]) + 
   (M^2*(-1 + x)^2*HPL[{1, 0}, x]*(15*(11 + x*(-70 + 11*x)) + 
      2*Pi^2*(-13*(5 + x*(14 + 5*x)) + 96*(1 + x)^2*Log[4]) + 
      16*(1 + x)^2*Zeta[3]))/12 - 
   (M^2*x*HPL[{0, 0}, x]*(360*x - 165*x^3 + 
      2*Pi^2*(96 + x*(12 + x*(96 + 5*x))) - 16*x*(2 + x^2)*Zeta[3]))/6 + 
   (M^2*(1 + x)^2*HPL[{-1}, x]*(24*Pi^4*(-1 + x)^2 + 
      5*Pi^2*(11 - 74*x + 11*x^2 - 8*(5 + x*(-14 + 5*x))*Log[2] + 
        64*(-1 + x)^2*Log[2]^2) + 60*(5 + x*(-14 + 5*x))*Zeta[3]))/10 - 
   (M^2*(-1 + x)^2*HPL[{1}, x]*(Pi^4*(1 + x)^2 + 60*Pi^2*Log[2]*
       (5 + 14*x + 5*x^2 - 8*(1 + x)^2*Log[2]) + 90*(5 + x*(14 + 5*x))*
       Zeta[3]))/15 - 
   (M^2*(2*Pi^4*(1515 + 4*x*(840 + x*(-1311 + 10*x*(84 + 37*x)))) + 
      10*Pi^2*(-825 + 880*Zeta[3] + 
        4*x*(36*(115 + 16*Log[2]*(-13 + Log[256])) + 
          36*x^2*(115 + 16*Log[2]*(-13 + Log[256])) - 
          12*x*(195 + 38*Zeta[3]) + x^3*(-165 + 224*Zeta[3]))) + 
      3*(-128625 + 9680*Zeta[3] + 68928*Zeta[5] + 
        960*x^4*(11*Zeta[3] + 72*Zeta[5]) - 24*x^2*(3255 + 5200*Zeta[3] + 
          5776*Zeta[5]))))/2880, MI2l[p3n1a, -3][x] -> 0, 
 MI2l[p3n1a, -2][x] -> 1/2, MI2l[p3n1a, -1][x] -> 1/2, 
 MI2l[p3n1a, 0][x] -> (-6 - Pi^2*(-5 + 4*x^2))/12 - 
   (2 - 2*x^2)*HPL[{-1, 0}, x] - 4*x^2*HPL[{0, 0}, x] - 
   2*(-1 + x^2)*HPL[{1, 0}, x], MI2l[p3n1a, 1][x] -> 
  -11/2 - Pi^2*(-5/12 + (-2 + x)*x) + 2*Pi^2*(-1 + x^2)*HPL[{-1}, x] - 
   (2 - 2*x*(2 + 3*x))*HPL[{-1, 0}, x] - 12*x^2*HPL[{0, 0}, x] - 
   2*(-1 + x)*(1 + 3*x)*HPL[{1, 0}, x] - 4*(-1 + x^2)*HPL[{-1, -1, 0}, x] - 
   (8 - 8*x^2)*HPL[{-1, 1, 0}, x] + 24*x^2*HPL[{0, 0, 0}, x] - 
   (8 - 8*x^2)*HPL[{1, -1, 0}, x] - 4*(-1 + x^2)*HPL[{1, 1, 0}, x] - 
   (-11/3 + 4*x^2)*Zeta[3], MI2l[p3n1a, 2][x] -> 
  -49/2 - (Pi^4*(-303 + 296*x^2))/720 - 8*Pi^2*x*HPL[{0}, x] - 
   16*x*HPL[{-2, 0}, x] - 4*Pi^2*(-1 + x^2)*HPL[{-1, -1}, x] - 
   ((1 + x)*(11*Pi^2*(-1 + x) - 6*(1 + 9*x))*HPL[{-1, 0}, x])/3 - 
   (2*(54 + Pi^2)*x^2*HPL[{0, 0}, x])/3 + 8*Pi^2*(-1 + x^2)*HPL[{1, -1}, x] - 
   ((-1 + x)*(-6 + 54*x + 13*Pi^2*(1 + x))*HPL[{1, 0}, x])/3 - 
   16*x*HPL[{2, 0}, x] - 8*(-1 + x^2)*HPL[{-1, -2, 0}, x] - 
   4*(1 + x)*(-1 + 3*x)*HPL[{-1, -1, 0}, x] + 8*(1 + x)*(-1 + 3*x)*
    HPL[{-1, 1, 0}, x] - 8*(-1 + x^2)*HPL[{-1, 2, 0}, x] + 
   72*x^2*HPL[{0, 0, 0}, x] - 8*(-1 + x^2)*HPL[{1, -2, 0}, x] + 
   8*(-1 + x)*(1 + 3*x)*HPL[{1, -1, 0}, x] - 4*(-1 + x)*(1 + 3*x)*
    HPL[{1, 1, 0}, x] - 8*(-1 + x^2)*HPL[{1, 2, 0}, x] - 
   (8 - 8*x^2)*HPL[{-1, -1, -1, 0}, x] - 16*(-1 + x^2)*
    HPL[{-1, -1, 1, 0}, x] - 16*(-1 + x^2)*HPL[{-1, 0, 0, 0}, x] - 
   32*(-1 + x^2)*HPL[{-1, 1, -1, 0}, x] + 
   16*(-1 + x^2)*HPL[{-1, 1, 1, 0}, x] - 112*x^2*HPL[{0, 0, 0, 0}, x] - 
   16*(-1 + x^2)*HPL[{1, -1, -1, 0}, x] + 
   32*(-1 + x^2)*HPL[{1, -1, 1, 0}, x] + 16*(-1 + x^2)*HPL[{1, 0, 0, 0}, x] + 
   16*(-1 + x^2)*HPL[{1, 1, -1, 0}, x] - 8*(-1 + x^2)*HPL[{1, 1, 1, 0}, x] - 
   Pi^2*(5/12 + 3*x^2 + 2*x*(-5 + Log[256])) - (-11/3 + 12*x^2)*Zeta[3] - 
   4*(-1 + x^2)*HPL[{1}, x]*(Pi^2*Log[4] + 3*Zeta[3]) - 
   2*(1 + x)*HPL[{-1}, x]*(Pi^2*(1 - 4*Log[2] + x*(-3 + Log[16])) - 
     6*(-1 + x)*Zeta[3]), MI2l[p3n1a, 3][x] -> 
  -179/2 - (Pi^4*(-101 + 8*x*(-70 + 37*x)))/240 - 16*Pi^2*x*HPL[{-2}, x] + 
   64*x*HPL[{-3, 0}, x] - 80*x*HPL[{-2, 0}, x] - 
   8*Pi^2*(-1 + x^2)*HPL[{-1, -2}, x] - 8*Pi^2*(-1 + x^2)*HPL[{1, -2}, x] - 
   80*x*HPL[{2, 0}, x] + 64*x*HPL[{3, 0}, x] + 32*x*HPL[{-2, -1, 0}, x] - 
   64*x*HPL[{-2, 1, 0}, x] + 32*(-1 + x^2)*HPL[{-1, -3, 0}, x] - 
   8*(1 + x)*(-1 + 3*x)*HPL[{-1, -2, 0}, x] + 
   8*Pi^2*(-1 + x^2)*HPL[{-1, -1, -1}, x] + 
   (2*(1 + x)*(11*Pi^2*(-1 + x) - 6*(1 + 9*x))*HPL[{-1, -1, 0}, x])/3 + 
   16*Pi^2*(-1 + x^2)*HPL[{-1, 0, 0}, x] - 32*Pi^2*(-1 + x^2)*
    HPL[{-1, 1, -1}, x] + (4*(1 + x)*(6 + 13*Pi^2*(-1 + x) + 54*x)*
     HPL[{-1, 1, 0}, x])/3 - 8*(1 + x)*(-1 + 3*x)*HPL[{-1, 2, 0}, x] + 
   32*(-1 + x^2)*HPL[{-1, 3, 0}, x] + 4*(54 + Pi^2)*x^2*HPL[{0, 0, 0}, x] + 
   32*(-1 + x^2)*HPL[{1, -3, 0}, x] - 8*(-1 + x)*(1 + 3*x)*
    HPL[{1, -2, 0}, x] - 16*Pi^2*(-1 + x^2)*HPL[{1, -1, -1}, x] - 
   (4*(-1 + x)*(6 - 54*x + 11*Pi^2*(1 + x))*HPL[{1, -1, 0}, x])/3 + 
   16*Pi^2*(-1 + x^2)*HPL[{1, 0, 0}, x] + 16*Pi^2*(-1 + x^2)*
    HPL[{1, 1, -1}, x] - (2*(-1 + x)*(-6 + 54*x + 13*Pi^2*(1 + x))*
     HPL[{1, 1, 0}, x])/3 - 8*(-1 + x)*(1 + 3*x)*HPL[{1, 2, 0}, x] + 
   32*(-1 + x^2)*HPL[{1, 3, 0}, x] + 64*x*HPL[{2, -1, 0}, x] - 
   32*x*HPL[{2, 1, 0}, x] + 16*(-1 + x^2)*HPL[{-1, -2, -1, 0}, x] - 
   32*(-1 + x^2)*HPL[{-1, -2, 1, 0}, x] + 
   16*(-1 + x^2)*HPL[{-1, -1, -2, 0}, x] + 8*(1 + x)*(-1 + 3*x)*
    HPL[{-1, -1, -1, 0}, x] - 16*(1 + x)*(-1 + 3*x)*HPL[{-1, -1, 1, 0}, x] + 
   16*(-1 + x^2)*HPL[{-1, -1, 2, 0}, x] - 16*(1 + x)*(-1 + 3*x)*
    HPL[{-1, 0, 0, 0}, x] + 32*(-1 + x^2)*HPL[{-1, 1, -2, 0}, x] - 
   32*(1 + x)*(-1 + 3*x)*HPL[{-1, 1, -1, 0}, x] + 
   16*(1 + x)*(-1 + 3*x)*HPL[{-1, 1, 1, 0}, x] + 
   32*(-1 + x^2)*HPL[{-1, 1, 2, 0}, x] + 32*(-1 + x^2)*
    HPL[{-1, 2, -1, 0}, x] - 16*(-1 + x^2)*HPL[{-1, 2, 1, 0}, x] - 
   336*x^2*HPL[{0, 0, 0, 0}, x] + 16*(-1 + x^2)*HPL[{1, -2, -1, 0}, x] - 
   32*(-1 + x^2)*HPL[{1, -2, 1, 0}, x] - 32*(-1 + x^2)*
    HPL[{1, -1, -2, 0}, x] - 16*(-1 + x)*(1 + 3*x)*HPL[{1, -1, -1, 0}, x] + 
   32*(-1 + x)*(1 + 3*x)*HPL[{1, -1, 1, 0}, x] - 
   32*(-1 + x^2)*HPL[{1, -1, 2, 0}, x] + 16*(-1 + x)*(1 + 3*x)*
    HPL[{1, 0, 0, 0}, x] - 16*(-1 + x^2)*HPL[{1, 1, -2, 0}, x] + 
   16*(-1 + x)*(1 + 3*x)*HPL[{1, 1, -1, 0}, x] - 
   8*(-1 + x)*(1 + 3*x)*HPL[{1, 1, 1, 0}, x] - 
   16*(-1 + x^2)*HPL[{1, 1, 2, 0}, x] + 32*(-1 + x^2)*HPL[{1, 2, -1, 0}, x] - 
   16*(-1 + x^2)*HPL[{1, 2, 1, 0}, x] - 16*(-1 + x^2)*
    HPL[{-1, -1, -1, -1, 0}, x] + 32*(-1 + x^2)*HPL[{-1, -1, -1, 1, 0}, x] + 
   32*(-1 + x^2)*HPL[{-1, -1, 0, 0, 0}, x] + 
   64*(-1 + x^2)*HPL[{-1, -1, 1, -1, 0}, x] - 
   32*(-1 + x^2)*HPL[{-1, -1, 1, 1, 0}, x] + 
   96*(-1 + x^2)*HPL[{-1, 0, 0, 0, 0}, x] + 
   64*(-1 + x^2)*HPL[{-1, 1, -1, -1, 0}, x] - 
   128*(-1 + x^2)*HPL[{-1, 1, -1, 1, 0}, x] - 
   64*(-1 + x^2)*HPL[{-1, 1, 0, 0, 0}, x] - 
   64*(-1 + x^2)*HPL[{-1, 1, 1, -1, 0}, x] + 
   32*(-1 + x^2)*HPL[{-1, 1, 1, 1, 0}, x] + 480*x^2*HPL[{0, 0, 0, 0, 0}, x] + 
   32*(-1 + x^2)*HPL[{1, -1, -1, -1, 0}, x] - 
   64*(-1 + x^2)*HPL[{1, -1, -1, 1, 0}, x] - 
   64*(-1 + x^2)*HPL[{1, -1, 0, 0, 0}, x] - 
   128*(-1 + x^2)*HPL[{1, -1, 1, -1, 0}, x] + 
   64*(-1 + x^2)*HPL[{1, -1, 1, 1, 0}, x] - 
   96*(-1 + x^2)*HPL[{1, 0, 0, 0, 0}, x] - 
   32*(-1 + x^2)*HPL[{1, 1, -1, -1, 0}, x] + 
   64*(-1 + x^2)*HPL[{1, 1, -1, 1, 0}, x] + 
   32*(-1 + x^2)*HPL[{1, 1, 0, 0, 0}, x] + 
   32*(-1 + x^2)*HPL[{1, 1, 1, -1, 0}, x] - 
   16*(-1 + x^2)*HPL[{1, 1, 1, 1, 0}, x] - 8*Pi^2*x*HPL[{0}, x]*
    (5 - 4*Log[4]) - (2*x*HPL[{0, 0}, x]*(3*Pi^2*(-16 + x) + 
      2*x*(81 - 2*Zeta[3])))/3 - (11*Zeta[3])/3 + 
   16*(-1 + x^2)*HPL[{-1, 1}, x]*(Pi^2*Log[4] + 3*Zeta[3]) - 
   8*(-1 + x^2)*HPL[{1, 1}, x]*(Pi^2*Log[4] + 3*Zeta[3]) + 
   4*(1 + x)*HPL[{-1, -1}, x]*(Pi^2*(1 - 4*Log[2] + x*(-3 + Log[16])) - 
     6*(-1 + x)*Zeta[3]) + ((1 + x)*HPL[{-1, 0}, x]*
     (66 + 162*x + Pi^2*(11 - 48*Log[4] + x*(-33 + 48*Log[4])) - 
      4*(-1 + x)*Zeta[3]))/3 - 8*(-1 + x)*HPL[{1, -1}, x]*
    (Pi^2*(-1 + x*(-3 + Log[16]) + Log[16]) - 6*(1 + x)*Zeta[3]) + 
   ((-1 + x)*HPL[{1, 0}, x]*(66 - 162*x + 
      Pi^2*(-13*(1 + 3*x) + 48*(1 + x)*Log[4]) + 4*(1 + x)*Zeta[3]))/3 + 
   (2*(1 + x)*HPL[{-1}, x]*(6*Pi^4*(-1 + x) + 
      5*Pi^2*(1 - 16*Log[2]^2 + x*(9 + 4*Log[2]*(-3 + Log[16])) + Log[16]) + 
      30*(-1 + 3*x)*Zeta[3]))/5 - 
   ((-1 + x)*HPL[{1}, x]*(Pi^4*(1 + x) - 120*Pi^2*Log[2]*
       (-1 + x*(-3 + Log[16]) + Log[16]) + 180*(1 + 3*x)*Zeta[3]))/15 - 
   (Pi^2*(-72*x*(19 + 8*Log[2]*(-5 + Log[16])) + 55*(3 - 2*Zeta[3]) + 
      4*x^2*(81 + 28*Zeta[3])))/36 + (359*Zeta[5])/5 - 
   36*x^2*(Zeta[3] + 2*Zeta[5])}
