{MI[p3n1, -3][x] -> -(M^6*x^2), MI[p3n1, -2][x] -> 
  M^6*x^2*(-3 + 2*HPL[{0}, x]), MI[p3n1, -1][x] -> 
  -(M^6*x^2*(24 + Pi^2 + 8*(-3 + HPL[{0}, x])*HPL[{0}, x]))/4, 
 MI[p3n1, 0][x] -> (M^6*x^2*(-120 - 9*Pi^2 + 6*(24 + Pi^2)*HPL[{0}, x] - 
     72*HPL[{0}, x]^2 + 16*HPL[{0}, x]^3 + 12*Zeta[3]))/12, 
 MI[p3n1, 1][x] -> -(M^6*x^2*(720*Pi^2 + 19*Pi^4 - 1440*(-5 + Zeta[3]) + 
      80*HPL[{0}, x]*(-120 - 9*Pi^2 + HPL[{0}, x]*(3*(24 + Pi^2) + 
          4*(-6 + HPL[{0}, x])*HPL[{0}, x]) + 12*Zeta[3])))/480, 
 MI[p3n1, 2][x] -> 
  (M^6*x^2*(2*HPL[{0}, x]*(7200 + 720*Pi^2 + 19*Pi^4 + 
       8*HPL[{0}, x]*(-15*(40 + 3*Pi^2) + 10*(24 + Pi^2)*HPL[{0}, x] - 
         60*HPL[{0}, x]^2 + 8*HPL[{0}, x]^3)) + 
     120*(Pi^2 + 8*(-3 + HPL[{0}, x])*HPL[{0}, x])*Zeta[3] - 
     3*(400*Pi^2 + 19*Pi^4 - 96*(-35 + 10*Zeta[3] + Zeta[5]))))/480, 
 MI[p3n1, 3][x] -> -(M^6*x^2*(453600*Pi^2 + 28728*Pi^4 + 631*Pi^6 - 
      24192*(-140 + 50*Zeta[3] + 9*Zeta[5]) + 
      168*(120*(24 + Pi^2)*HPL[{0}, x]^4 - 576*HPL[{0}, x]^5 + 
        64*HPL[{0}, x]^6 + 3*HPL[{0}, x]^2*(720*Pi^2 + 19*Pi^4 - 
          1440*(-5 + Zeta[3])) - 240*HPL[{0}, x]^3*(40 + 3*Pi^2 - 
          4*Zeta[3]) + 180*Zeta[3]*(-3*Pi^2 + 2*Zeta[3]) - 
        9*HPL[{0}, x]*(19*Pi^4 - 40*Pi^2*(-10 + Zeta[3]) - 
          96*(-35 + 10*Zeta[3] + Zeta[5])))))/120960, 
 MI[p3n1, 4][x] -> (M^6*x^2*(8064*(24 + Pi^2)*HPL[{0}, x]^5 - 
     32256*HPL[{0}, x]^6 + 3072*HPL[{0}, x]^7 + 336*HPL[{0}, x]^3*
      (720*Pi^2 + 19*Pi^4 - 1440*(-5 + Zeta[3])) - 
     20160*HPL[{0}, x]^4*(40 + 3*Pi^2 - 4*Zeta[3]) + 
     2*HPL[{0}, x]*(28728*Pi^4 + 631*Pi^6 - 90720*Pi^2*(-5 + Zeta[3]) + 
       12096*(280 + 5*(-20 + Zeta[3])*Zeta[3] - 18*Zeta[5])) - 
     1512*HPL[{0}, x]^2*(19*Pi^4 - 40*Pi^2*(-10 + Zeta[3]) - 
       96*(-35 + 10*Zeta[3] + Zeta[5])) - 
     3*(631*Pi^6 - 1596*Pi^4*(-10 + Zeta[3]) - 
       6048*Pi^2*(-35 + 10*Zeta[3] + Zeta[5]) + 
       1728*(840 + 35*(-10 + Zeta[3])*Zeta[3] - 84*Zeta[5] - 10*Zeta[7]))))/
   120960, MI[p3n2, -3][x] -> -(M^6*x^4), MI[p3n2, -2][x] -> 
  M^6*x^4*(-3 + 4*HPL[{0}, x]), MI[p3n2, -1][x] -> 
  -(M^6*x^4*(24 + Pi^2 + 16*HPL[{0}, x]*(-3 + 2*HPL[{0}, x])))/4, 
 MI[p3n2, 0][x] -> 
  (M^6*x^4*(-120 - 9*Pi^2 + 4*HPL[{0}, x]*(3*(24 + Pi^2) + 
       8*HPL[{0}, x]*(-9 + 4*HPL[{0}, x])) + 12*Zeta[3]))/12, 
 MI[p3n2, 1][x] -> -(M^6*x^4*(720*Pi^2 + 19*Pi^4 - 1440*(-5 + Zeta[3]) + 
      160*HPL[{0}, x]*(-120 - 9*Pi^2 + 2*HPL[{0}, x]*(3*(24 + Pi^2) + 
          16*(-3 + HPL[{0}, x])*HPL[{0}, x]) + 12*Zeta[3])))/480, 
 MI[p3n2, 2][x] -> (M^6*x^4*(-10080 - 1200*Pi^2 - 57*Pi^4 + 
     4*HPL[{0}, x]*(7200 + 720*Pi^2 + 19*Pi^4 + 16*HPL[{0}, x]*
        (-15*(40 + 3*Pi^2) + 4*HPL[{0}, x]*(5*(24 + Pi^2) + 
           4*HPL[{0}, x]*(-15 + 4*HPL[{0}, x])))) + 
     120*(24 + Pi^2 + 16*HPL[{0}, x]*(-3 + 2*HPL[{0}, x]))*Zeta[3] + 
     288*Zeta[5]))/480, MI[p3n2, 3][x] -> 
  -(M^6*x^4*(453600*Pi^2 + 28728*Pi^4 + 631*Pi^6 - 
      24192*(-140 + 50*Zeta[3] + 9*Zeta[5]) + 
      336*(960*(24 + Pi^2)*HPL[{0}, x]^4 - 9216*HPL[{0}, x]^5 + 
        2048*HPL[{0}, x]^6 + 6*HPL[{0}, x]^2*(720*Pi^2 + 19*Pi^4 - 
          1440*(-5 + Zeta[3])) - 960*HPL[{0}, x]^3*(40 + 3*Pi^2 - 
          4*Zeta[3]) + 90*Zeta[3]*(-3*Pi^2 + 2*Zeta[3]) - 
        9*HPL[{0}, x]*(19*Pi^4 - 40*Pi^2*(-10 + Zeta[3]) - 
          96*(-35 + 10*Zeta[3] + Zeta[5])))))/120960, 
 MI[p3n2, 4][x] -> (M^6*x^4*(258048*(24 + Pi^2)*HPL[{0}, x]^5 - 
     2064384*HPL[{0}, x]^6 + 393216*HPL[{0}, x]^7 + 
     2688*HPL[{0}, x]^3*(720*Pi^2 + 19*Pi^4 - 1440*(-5 + Zeta[3])) - 
     322560*HPL[{0}, x]^4*(40 + 3*Pi^2 - 4*Zeta[3]) + 
     4*HPL[{0}, x]*(28728*Pi^4 + 631*Pi^6 - 90720*Pi^2*(-5 + Zeta[3]) + 
       12096*(280 + 5*(-20 + Zeta[3])*Zeta[3] - 18*Zeta[5])) - 
     6048*HPL[{0}, x]^2*(19*Pi^4 - 40*Pi^2*(-10 + Zeta[3]) - 
       96*(-35 + 10*Zeta[3] + Zeta[5])) - 
     3*(631*Pi^6 - 1596*Pi^4*(-10 + Zeta[3]) - 
       6048*Pi^2*(-35 + 10*Zeta[3] + Zeta[5]) + 
       1728*(840 + 35*(-10 + Zeta[3])*Zeta[3] - 84*Zeta[5] - 10*Zeta[7]))))/
   120960, MI[p3n3, -3][x] -> -(M^6*x^6), MI[p3n3, -2][x] -> 
  3*M^6*x^6*(-1 + 2*HPL[{0}, x]), MI[p3n3, -1][x] -> 
  -(M^6*x^6*(24 + Pi^2 + 72*(-1 + HPL[{0}, x])*HPL[{0}, x]))/4, 
 MI[p3n3, 0][x] -> 
  (M^6*x^6*(-40 - 3*Pi^2 + 6*HPL[{0}, x]*(24 + Pi^2 + 
       12*HPL[{0}, x]*(-3 + 2*HPL[{0}, x])) + 4*Zeta[3]))/4, 
 MI[p3n3, 1][x] -> -(M^6*x^6*(720*Pi^2 + 19*Pi^4 - 1440*(-5 + Zeta[3]) + 
      720*HPL[{0}, x]*(-40 - 3*Pi^2 + 3*HPL[{0}, x]*(24 + Pi^2 + 
          12*(-2 + HPL[{0}, x])*HPL[{0}, x]) + 4*Zeta[3])))/480, 
 MI[p3n3, 2][x] -> (M^6*x^6*(-400*Pi^2 - 19*Pi^4 + 
     2*HPL[{0}, x]*(7200 + 720*Pi^2 + 19*Pi^4 + 72*HPL[{0}, x]*
        (-5*(40 + 3*Pi^2) + 2*HPL[{0}, x]*(5*(24 + Pi^2) + 
           18*HPL[{0}, x]*(-5 + 2*HPL[{0}, x])))) + 
     40*(Pi^2 + 72*(-1 + HPL[{0}, x])*HPL[{0}, x])*Zeta[3] + 
     96*(-35 + 10*Zeta[3] + Zeta[5])))/160, 
 MI[p3n3, 3][x] -> -(M^6*x^6*(453600*Pi^2 + 28728*Pi^4 + 631*Pi^6 - 
      24192*(-140 + 50*Zeta[3] + 9*Zeta[5]) + 
      1512*(1080*(24 + Pi^2)*HPL[{0}, x]^4 - 15552*HPL[{0}, x]^5 + 
        5184*HPL[{0}, x]^6 + 3*HPL[{0}, x]^2*(720*Pi^2 + 19*Pi^4 - 
          1440*(-5 + Zeta[3])) - 720*HPL[{0}, x]^3*(40 + 3*Pi^2 - 
          4*Zeta[3]) + 20*Zeta[3]*(-3*Pi^2 + 2*Zeta[3]) - 
        3*HPL[{0}, x]*(19*Pi^4 - 40*Pi^2*(-10 + Zeta[3]) - 
          96*(-35 + 10*Zeta[3] + Zeta[5])))))/120960, 
 MI[p3n3, 4][x] -> (M^6*x^6*(-631*Pi^6 + 653184*(24 + Pi^2)*HPL[{0}, x]^5 - 
     7838208*HPL[{0}, x]^6 + 2239488*HPL[{0}, x]^7 + 
     3024*HPL[{0}, x]^3*(720*Pi^2 + 19*Pi^4 - 1440*(-5 + Zeta[3])) - 
     544320*HPL[{0}, x]^4*(40 + 3*Pi^2 - 4*Zeta[3]) + 
     1596*Pi^4*(-10 + Zeta[3]) + 2*HPL[{0}, x]*(28728*Pi^4 + 631*Pi^6 - 
       90720*Pi^2*(-5 + Zeta[3]) + 12096*(280 + 5*(-20 + Zeta[3])*Zeta[3] - 
         18*Zeta[5])) + 6048*Pi^2*(-35 + 10*Zeta[3] + Zeta[5]) - 
     4536*HPL[{0}, x]^2*(19*Pi^4 - 40*Pi^2*(-10 + Zeta[3]) - 
       96*(-35 + 10*Zeta[3] + Zeta[5])) - 
     1728*(840 + 35*(-10 + Zeta[3])*Zeta[3] - 84*Zeta[5] - 10*Zeta[7])))/
   40320, MI[p4n1, -3][x] -> (M^4*x^4)/3, MI[p4n1, -2][x] -> 
  -(M^4*x^4*(-7 + 12*HPL[{0}, x]))/6, MI[p4n1, -1][x] -> 
  (M^4*x^4*(25 + Pi^2 - 84*HPL[{0}, x] + 144*HPL[{0, 0}, x]))/12, 
 MI[p4n1, 0][x] -> -(M^4*x^4*(5 - 7*Pi^2 + 12*(25 + Pi^2)*HPL[{0}, x] - 
      1008*HPL[{0, 0}, x] + 1728*HPL[{0, 0, 0}, x] - 56*Zeta[3]))/24, 
 MI[p4n1, 1][x] -> 
  -(M^4*x^4*(28770 - 750*Pi^2 + 173*Pi^4 - 4320*(25 + Pi^2)*HPL[{0, 0}, x] + 
      362880*HPL[{0, 0, 0}, x] - 622080*HPL[{0, 0, 0, 0}, x] - 
      11760*Zeta[3] + 360*HPL[{0}, x]*(-5 + 7*Pi^2 + 56*Zeta[3])))/1440, 
 MI[p4n1, 2][x] -> (M^4*x^4*(-314790 - 150*Pi^2 - 1211*Pi^4 - 
     51840*(25 + Pi^2)*HPL[{0, 0, 0}, x] + 4354560*HPL[{0, 0, 0, 0}, x] - 
     7464960*HPL[{0, 0, 0, 0, 0}, x] + 12*HPL[{0}, x]*
      (-750*Pi^2 + 173*Pi^4 + 210*(137 - 56*Zeta[3])) + 
     1680*(25 + Pi^2)*Zeta[3] + 4320*HPL[{0, 0}, x]*
      (-5 + 7*Pi^2 + 56*Zeta[3]) + 137664*Zeta[5]))/2880, 
 MI[p4n2, -3][x] -> 2*M^4*x^4, MI[p4n2, -2][x] -> 
  -(M^4*x^4*(-23 + 36*HPL[{0}, x]))/3, MI[p4n2, -1][x] -> 
  (M^4*x^4*(35 + Pi^2 - 92*HPL[{0}, x] + 144*HPL[{0, 0}, x]))/2, 
 MI[p4n2, 0][x] -> -(M^4*x^4*(-275 - 23*Pi^2 + 36*(35 + Pi^2)*HPL[{0}, x] - 
      3312*HPL[{0, 0}, x] + 5184*HPL[{0, 0, 0}, x] + 24*Zeta[3]))/12, 
 MI[p4n2, 1][x] -> (M^4*x^4*(-5670 + 1050*Pi^2 + 19*Pi^4 + 
     4320*(35 + Pi^2)*HPL[{0, 0}, x] - 397440*HPL[{0, 0, 0}, x] + 
     622080*HPL[{0, 0, 0, 0}, x] - 120*HPL[{0}, x]*(275 + 23*Pi^2 - 
       24*Zeta[3]) + 7120*Zeta[3]))/240, MI[p4n2, 2][x] -> 
  -(M^4*x^4*(149170 - 2750*Pi^2 + 1305*Pi^4 - 4769280*HPL[{0, 0, 0, 0}, x] + 
      7464960*HPL[{0, 0, 0, 0, 0}, x] + 
      640*(81*(35 + Pi^2)*HPL[{0, 0, 0}, x] + 8*Pi^2*Log[2]^2 - 8*Log[2]^4) - 
      122880*PolyLog[4, 1/2] - 1440*HPL[{0, 0}, x]*(275 + 23*Pi^2 - 
        24*Zeta[3]) + 240*(-525 + Pi^2)*Zeta[3] + 
      12*HPL[{0}, x]*(-5670 + 1050*Pi^2 + 19*Pi^4 + 7120*Zeta[3]) + 
      576*Zeta[5]))/480, MI[p4n3, -3][x] -> (M^4*(1 + 4*x^2 + x^4))/3, 
 MI[p4n3, -2][x] -> (M^4*(7 + 32*x^2 + 7*x^4))/6 - 
   2*M^4*x^2*(2 + x^2)*HPL[{0}, x], MI[p4n3, -1][x] -> 
  (M^4*(25 + Pi^2 + 4*(40 + Pi^2)*x^2 + (25 + Pi^2)*x^4))/12 - 
   M^4*x^2*(16 + 7*x^2)*HPL[{0}, x] + 4*M^4*x^2*(2 + 3*x^2)*HPL[{0, 0}, x], 
 MI[p4n3, 0][x] -> -(M^4*x^2*(80 + 25*x^2 + Pi^2*(2 + x^2))*HPL[{0}, x])/2 + 
   6*M^4*x^2*(4 + 7*x^2)*HPL[{0, 0}, x] - 8*M^4*(-1 + x^2)^2*
    HPL[{-1, 0, 0}, x] - 8*M^4*x^2*(2 + 7*x^2)*HPL[{0, 0, 0}, x] + 
   8*M^4*(-1 + x^2)^2*HPL[{1, 0, 0}, x] + 
   (M^4*(-5 + Pi^2*(7 + 32*x^2 + 7*x^4) + 56*Zeta[3] - 
      80*x^2*(-7 + 2*Zeta[3]) + x^4*(-5 + 56*Zeta[3])))/24, 
 MI[p4n3, 1][x] -> M^4*x^2*(20 + 75*x^2 + Pi^2*(2 + 3*x^2))*HPL[{0, 0}, x] - 
   4*M^4*(1 + x)^2*(7 + x*(-18 + 7*x))*HPL[{-1, 0, 0}, x] - 
   4*M^4*x^2*(4 + 49*x^2)*HPL[{0, 0, 0}, x] + 
   4*M^4*(-1 + x)^2*(7 + x*(18 + 7*x))*HPL[{1, 0, 0}, x] + 
   16*M^4*(-1 + x^2)^2*HPL[{-1, -1, 0, 0}, x] + 
   48*M^4*(-1 + x^2)^2*HPL[{-1, 0, 0, 0}, x] - 32*M^4*(-1 + x^2)^2*
    HPL[{-1, 1, 0, 0}, x] + 16*M^4*x^2*(2 + 15*x^2)*HPL[{0, 0, 0, 0}, x] - 
   32*M^4*(-1 + x^2)^2*HPL[{1, -1, 0, 0}, x] - 48*M^4*(-1 + x^2)^2*
    HPL[{1, 0, 0, 0}, x] + 16*M^4*(-1 + x^2)^2*HPL[{1, 1, 0, 0}, x] - 
   8*M^4*(-1 + x^2)^2*HPL[{-1}, x]*Zeta[3] + 8*M^4*(-1 + x^2)^2*HPL[{1}, x]*
    Zeta[3] - (M^4*x^2*HPL[{0}, x]*(-5*(-56 + x^2) + Pi^2*(16 + 7*x^2) - 
      8*(2 + x^2)*Zeta[3]))/4 - 
   (M^4*(-150*Pi^2*(5 + 32*x^2 + 5*x^4) + Pi^4*(173 - 460*x^2 + 173*x^4) + 
      30*(959 - 784*x^2 + 959*x^4 - 8*(49 - 208*x^2 + 49*x^4)*Zeta[3])))/
    1440, MI[p4n3, 2][x] -> -64*M^4*x*(1 + x^2)*HPL[{-2, 0, 0}, x] - 
   2*M^4*(1 + x)^2*(Pi^2*(-1 + x)^2 + 5*(5 + x*(-22 + 5*x)))*
    HPL[{-1, 0, 0}, x] - 2*M^4*x^2*(2*(-50 + Pi^2) + 7*(25 + Pi^2)*x^2)*
    HPL[{0, 0, 0}, x] + 2*M^4*(-1 + x)^2*(Pi^2*(1 + x)^2 + 
     5*(5 + x*(22 + 5*x)))*HPL[{1, 0, 0}, x] - 
   64*M^4*x*(1 + x^2)*HPL[{2, 0, 0}, x] + 32*M^4*(-1 + x^2)^2*
    HPL[{-1, -2, 0, 0}, x] + 8*M^4*(1 + x)^2*(7 + x*(-18 + 7*x))*
    HPL[{-1, -1, 0, 0}, x] + 24*M^4*(1 + x)^2*(7 + x*(-18 + 7*x))*
    HPL[{-1, 0, 0, 0}, x] - 16*M^4*(1 + x)^2*(7 + x*(-18 + 7*x))*
    HPL[{-1, 1, 0, 0}, x] + 32*M^4*(-1 + x^2)^2*HPL[{-1, 2, 0, 0}, x] - 
   24*M^4*x^2*(4 - 35*x^2)*HPL[{0, 0, 0, 0}, x] + 
   32*M^4*(-1 + x^2)^2*HPL[{1, -2, 0, 0}, x] - 
   16*M^4*(-1 + x)^2*(7 + x*(18 + 7*x))*HPL[{1, -1, 0, 0}, x] - 
   24*M^4*(-1 + x)^2*(7 + x*(18 + 7*x))*HPL[{1, 0, 0, 0}, x] + 
   8*M^4*(-1 + x)^2*(7 + x*(18 + 7*x))*HPL[{1, 1, 0, 0}, x] + 
   32*M^4*(-1 + x^2)^2*HPL[{1, 2, 0, 0}, x] - 32*M^4*(-1 + x^2)^2*
    HPL[{-1, -1, -1, 0, 0}, x] - 96*M^4*(-1 + x^2)^2*
    HPL[{-1, -1, 0, 0, 0}, x] + 64*M^4*(-1 + x^2)^2*
    HPL[{-1, -1, 1, 0, 0}, x] - 224*M^4*(-1 + x^2)^2*
    HPL[{-1, 0, 0, 0, 0}, x] + 128*M^4*(-1 + x^2)^2*
    HPL[{-1, 1, -1, 0, 0}, x] + 192*M^4*(-1 + x^2)^2*
    HPL[{-1, 1, 0, 0, 0}, x] - 64*M^4*(-1 + x^2)^2*HPL[{-1, 1, 1, 0, 0}, x] - 
   32*M^4*x^2*(2 + 31*x^2)*HPL[{0, 0, 0, 0, 0}, x] + 
   64*M^4*(-1 + x^2)^2*HPL[{1, -1, -1, 0, 0}, x] + 
   192*M^4*(-1 + x^2)^2*HPL[{1, -1, 0, 0, 0}, x] - 
   128*M^4*(-1 + x^2)^2*HPL[{1, -1, 1, 0, 0}, x] + 
   224*M^4*(-1 + x^2)^2*HPL[{1, 0, 0, 0, 0}, x] - 
   64*M^4*(-1 + x^2)^2*HPL[{1, 1, -1, 0, 0}, x] - 
   96*M^4*(-1 + x^2)^2*HPL[{1, 1, 0, 0, 0}, x] + 
   32*M^4*(-1 + x^2)^2*HPL[{1, 1, 1, 0, 0}, x] + 
   16*M^4*(-1 + x^2)^2*HPL[{-1, -1}, x]*Zeta[3] - 
   32*M^4*(-1 + x^2)^2*HPL[{-1, 1}, x]*Zeta[3] - 
   32*M^4*(-1 + x^2)^2*HPL[{1, -1}, x]*Zeta[3] + 
   16*M^4*(-1 + x^2)^2*HPL[{1, 1}, x]*Zeta[3] + 
   (2*M^4*(1 + x)^2*HPL[{-1}, x]*(Pi^4*(-1 + x)^2 - 10*(7 + x*(-18 + 7*x))*
       Zeta[3]))/5 - (2*M^4*(-1 + x)^2*HPL[{1}, x]*
     (Pi^4*(1 + x)^2 - 10*(7 + x*(18 + 7*x))*Zeta[3]))/5 + 
   (M^4*x^2*HPL[{0, 0}, x]*(3*Pi^2*(4 + 7*x^2) - 4*(75 + 4*Zeta[3]) - 
      3*x^2*(5 + 8*Zeta[3])))/2 - 
   (M^4*x^2*HPL[{0}, x]*(19*Pi^4*(2 + x^2) + 150*Pi^2*(16 + 5*x^2) - 
      30*(-392 + 959*x^2 + 8*(16 + 7*x^2)*Zeta[3])))/240 - 
   (M^4*(Pi^4*(1211 - 4832*x^2 + 1211*x^4) + 
      30*Pi^2*(5 + x^4*(5 - 56*Zeta[3]) - 56*Zeta[3] + 
        80*x^2*(-7 + 2*Zeta[3])) + 6*(52465 + 44240*x^2 + 52465*x^4 - 
        200*(35 - 304*x^2 + 35*x^4)*Zeta[3] - 96*(239 - 484*x^2 + 239*x^4)*
         Zeta[5])))/2880, MI[p4n3a, -3][x] -> -(M^2*(1 + 2*x^2))/3, 
 MI[p4n3a, -2][x] -> -(M^2*(2 + 5*x^2))/3 + 2*M^2*x^2*HPL[{0}, x], 
 MI[p4n3a, -1][x] -> -(M^2*(4 + Pi^2 + 2*(16 + Pi^2)*x^2))/12 + 
   4*M^2*x^2*HPL[{0}, x] - 4*M^2*x^2*HPL[{0, 0}, x], 
 MI[p4n3a, 0][x] -> (M^2*(4 + Pi^2)*x^2*HPL[{0}, x])/2 - 
   8*M^2*(-1 + x^2)*HPL[{-1, 0, 0}, x] + 8*M^2*x^2*HPL[{0, 0, 0}, x] + 
   8*M^2*(-1 + x^2)*HPL[{1, 0, 0}, x] - 
   (M^2*(-40 + Pi^2*(2 + 5*x^2) + x^2*(20 - 40*Zeta[3]) + 28*Zeta[3]))/12, 
 MI[p4n3a, 1][x] -> -(M^2*(-44 + Pi^2)*x^2*HPL[{0, 0}, x]) - 
   16*M^2*(1 + x)*(-1 + 2*x)*HPL[{-1, 0, 0}, x] - 
   32*M^2*x^2*HPL[{0, 0, 0}, x] + 16*(-1 + x)*(M^2 + 2*M^2*x)*
    HPL[{1, 0, 0}, x] + 16*M^2*(-1 + x^2)*HPL[{-1, -1, 0, 0}, x] + 
   48*M^2*(-1 + x^2)*HPL[{-1, 0, 0, 0}, x] - 32*M^2*(-1 + x^2)*
    HPL[{-1, 1, 0, 0}, x] - 16*M^2*x^2*HPL[{0, 0, 0, 0}, x] - 
   32*M^2*(-1 + x^2)*HPL[{1, -1, 0, 0}, x] - 48*M^2*(-1 + x^2)*
    HPL[{1, 0, 0, 0}, x] + 16*M^2*(-1 + x^2)*HPL[{1, 1, 0, 0}, x] - 
   8*M^2*(-1 + x^2)*HPL[{-1}, x]*Zeta[3] + 8*M^2*(-1 + x^2)*HPL[{1}, x]*
    Zeta[3] + M^2*x^2*HPL[{0}, x]*(Pi^2 - 2*(10 + Zeta[3])) + 
   (M^2*(Pi^4*(173 - 230*x^2) - 120*Pi^2*(1 + 8*x^2) + 
      480*(59 - 14*Zeta[3] + x^2*(28 + 37*Zeta[3]))))/1440, 
 MI[p4n3a, 2][x] -> 64*M^2*x*HPL[{-2, 0, 0}, x] - 
   2*M^2*(1 + x)*(-4 + Pi^2*(-1 + x) + 52*x)*HPL[{-1, 0, 0}, x] + 
   2*M^2*(-140 + Pi^2)*x^2*HPL[{0, 0, 0}, x] + 
   2*M^2*(-1 + x)*(4 + 52*x + Pi^2*(1 + x))*HPL[{1, 0, 0}, x] + 
   64*M^2*x*HPL[{2, 0, 0}, x] + 32*M^2*(-1 + x^2)*HPL[{-1, -2, 0, 0}, x] + 
   32*M^2*(1 + x)*(-1 + 2*x)*HPL[{-1, -1, 0, 0}, x] + 
   96*M^2*(1 + x)*(-1 + 2*x)*HPL[{-1, 0, 0, 0}, x] - 
   64*M^2*(1 + x)*(-1 + 2*x)*HPL[{-1, 1, 0, 0}, x] + 
   32*M^2*(-1 + x^2)*HPL[{-1, 2, 0, 0}, x] + 
   192*M^2*x^2*HPL[{0, 0, 0, 0}, x] + 32*M^2*(-1 + x^2)*
    HPL[{1, -2, 0, 0}, x] - 64*(-1 + x)*(M^2 + 2*M^2*x)*
    HPL[{1, -1, 0, 0}, x] - 96*(-1 + x)*(M^2 + 2*M^2*x)*
    HPL[{1, 0, 0, 0}, x] + 32*(-1 + x)*(M^2 + 2*M^2*x)*HPL[{1, 1, 0, 0}, x] + 
   32*M^2*(-1 + x^2)*HPL[{1, 2, 0, 0}, x] - 32*M^2*(-1 + x^2)*
    HPL[{-1, -1, -1, 0, 0}, x] - 96*M^2*(-1 + x^2)*
    HPL[{-1, -1, 0, 0, 0}, x] + 64*M^2*(-1 + x^2)*HPL[{-1, -1, 1, 0, 0}, x] - 
   224*M^2*(-1 + x^2)*HPL[{-1, 0, 0, 0, 0}, x] + 
   128*M^2*(-1 + x^2)*HPL[{-1, 1, -1, 0, 0}, x] + 
   192*M^2*(-1 + x^2)*HPL[{-1, 1, 0, 0, 0}, x] - 
   64*M^2*(-1 + x^2)*HPL[{-1, 1, 1, 0, 0}, x] + 
   32*M^2*x^2*HPL[{0, 0, 0, 0, 0}, x] + 64*M^2*(-1 + x^2)*
    HPL[{1, -1, -1, 0, 0}, x] + 192*M^2*(-1 + x^2)*HPL[{1, -1, 0, 0, 0}, x] - 
   128*M^2*(-1 + x^2)*HPL[{1, -1, 1, 0, 0}, x] + 
   224*M^2*(-1 + x^2)*HPL[{1, 0, 0, 0, 0}, x] - 
   64*M^2*(-1 + x^2)*HPL[{1, 1, -1, 0, 0}, x] - 
   96*M^2*(-1 + x^2)*HPL[{1, 1, 0, 0, 0}, x] + 
   32*M^2*(-1 + x^2)*HPL[{1, 1, 1, 0, 0}, x] + 
   16*M^2*(-1 + x^2)*HPL[{-1, -1}, x]*Zeta[3] - 
   32*M^2*(-1 + x^2)*HPL[{-1, 1}, x]*Zeta[3] - 
   32*M^2*(-1 + x^2)*HPL[{1, -1}, x]*Zeta[3] + 
   16*M^2*(-1 + x^2)*HPL[{1, 1}, x]*Zeta[3] + 4*M^2*x^2*HPL[{0, 0}, x]*
    (60 + Zeta[3]) + (2*M^2*(1 + x)*HPL[{-1}, x]*(Pi^4*(-1 + x) + 
      40*(1 - 2*x)*Zeta[3]))/5 - (2*M^2*(-1 + x)*HPL[{1}, x]*
     (Pi^4*(1 + x) - 40*(1 + 2*x)*Zeta[3]))/5 + 
   (M^2*x^2*HPL[{0}, x]*(120*Pi^2 + 19*Pi^4 - 480*(59 + 2*Zeta[3])))/240 + 
   (M^2*(Pi^4*(346 - 863*x^2) + 120*Pi^2*(10 - 7*Zeta[3] + 
        5*x^2*(-1 + 2*Zeta[3])) + 96*(1190 - 35*Zeta[3] - 717*Zeta[5] + 
        x^2*(875 + 560*Zeta[3] + 726*Zeta[5]))))/1440, 
 MI[p4n4, -3][x] -> (M^4*x^2)/2, MI[p4n4, -2][x] -> 
  -(M^4*x^2*(-7 + 4*HPL[{0}, x]))/4, MI[p4n4, -1][x] -> 
  (M^4*x^2*(75 + 11*Pi^2 - 84*HPL[{0}, x] + 48*HPL[{0, 0}, x]))/24, 
 MI[p4n4, 0][x] -> -(M^4*x^2*(15 - 77*Pi^2 + 4*(75 + 11*Pi^2)*HPL[{0}, x] - 
      336*HPL[{0, 0}, x] + 192*HPL[{0, 0, 0}, x] - 168*Zeta[3]))/48, 
 MI[p4n4, 1][x] -> (M^4*x^2*(-86310 + 8250*Pi^2 + 1321*Pi^4 + 
     480*(75 + 11*Pi^2)*HPL[{0, 0}, x] - 40320*HPL[{0, 0, 0}, x] + 
     23040*HPL[{0, 0, 0, 0}, x] + 35280*Zeta[3] - 
     120*HPL[{0}, x]*(-15 + 77*Pi^2 + 168*Zeta[3])))/2880, 
 MI[p4n4, 2][x] -> -(M^4*x^2*(944370 + 1650*Pi^2 - 9247*Pi^4 + 
      1920*(75 + 11*Pi^2)*HPL[{0, 0, 0}, x] - 161280*HPL[{0, 0, 0, 0}, x] + 
      92160*HPL[{0, 0, 0, 0, 0}, x] - 1680*(75 + 11*Pi^2)*Zeta[3] - 
      480*HPL[{0, 0}, x]*(-15 + 77*Pi^2 + 168*Zeta[3]) + 
      4*HPL[{0}, x]*(8250*Pi^2 + 1321*Pi^4 + 630*(-137 + 56*Zeta[3])) - 
      412992*Zeta[5]))/5760, MI[p4n5, -3][x] -> (3*M^4*x^2)/2, 
 MI[p4n5, -2][x] -> -(M^4*x^2*(-23 + 12*HPL[{0}, x]))/4, 
 MI[p4n5, -1][x] -> 
  -(M^4*x^2*(92*HPL[{0}, x] - 3*(35 + Pi^2 + 16*HPL[{0, 0}, x])))/8, 
 MI[p4n5, 0][x] -> -(M^4*x^2*(-825 - 133*Pi^2 + 36*(35 + Pi^2)*HPL[{0}, x] - 
      1104*HPL[{0, 0}, x] + 576*HPL[{0, 0, 0}, x] + 72*Zeta[3]))/48, 
 MI[p4n5, 1][x] -> (M^4*x^2*(-40*HPL[{0}, x]*(825 + 133*Pi^2 - 72*Zeta[3]) + 
     3*(-5670 + 480*(35 + Pi^2)*HPL[{0, 0}, x] - 14720*HPL[{0, 0, 0}, x] + 
       7680*HPL[{0, 0, 0, 0}, x] + Pi^2*(4250 + 19*Pi^2 - 2560*Log[2]) + 
       7120*Zeta[3])))/960, MI[p4n5, 2][x] -> 
  -(M^4*x^2*(4705*Pi^4 + 17280*(35 + Pi^2)*HPL[{0, 0, 0}, x] - 
      529920*HPL[{0, 0, 0, 0}, x] + 276480*HPL[{0, 0, 0, 0, 0}, x] - 
      480*HPL[{0, 0}, x]*(825 + 133*Pi^2 - 72*Zeta[3]) - 
      30*Pi^2*(10105 + 768*Log[2]*(-15 + Log[16]) - 72*Zeta[3]) + 
      36*HPL[{0}, x]*(-5670 + 19*Pi^4 + Pi^2*(4250 - 2560*Log[2]) + 
        7120*Zeta[3]) - 18*(-74585 + 2560*Log[2]^4 + 61440*PolyLog[4, 1/2] + 
        63000*Zeta[3] - 288*Zeta[5])))/5760, 
 MI[p4n6, -3][x] -> (M^4*(1 + 2*x^2))/2, MI[p4n6, -2][x] -> 
  -(M^4*(-7 - 16*x^2 + 16*x^2*HPL[{0}, x]))/4, 
 MI[p4n6, -1][x] -> (M^4*(75 + 11*Pi^2 + 240*x^2 - 10*Pi^2*x^2 + 8*Pi^2*x^4 - 
     432*x^2*HPL[{0}, x] - 48*(-1 + x^2)^2*HPL[{-1, 0}, x] + 
     192*x^2*HPL[{0, 0}, x] + 96*x^4*HPL[{0, 0}, x] + 48*HPL[{1, 0}, x] - 
     96*x^2*HPL[{1, 0}, x] + 48*x^4*HPL[{1, 0}, x]))/24, 
 MI[p4n6, 0][x] -> 
  -(M^2*(M^2*(12 + Pi^2)*(-5 - 12*x^2 + 16*x^2*HPL[{0}, x]) + 
      48*(-(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]) - 2*M^2*(1 + 2*x^2)*(12 + Pi^2 - 4*Zeta[3]) + 
      48*(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)))/48, 
 MI[p4n6, 1][x] -> 
  -((M^2 + (M^2*Pi^2)/12)*(-(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])) + (M^4*(1 + 2*x^2)*(40*Pi^2 + 3*Pi^4 - 
      160*(-3 + Zeta[3])))/960 - (M^4*(-5 - 12*x^2 + 16*x^2*HPL[{0}, x])*
     (12 + Pi^2 - 4*Zeta[3]))/48 - M^2*(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*(45*(949 + 168*x^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])))) - 
        240*(55 - 228*x^2 + 60*x^4)*Zeta[3]))/1440) - 
   M^2*(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), 
 MI[p4n6, 2][x] -> 
  -(M^4*(-5 - 12*x^2 + 16*x^2*HPL[{0}, x])*(40*Pi^2 + 3*Pi^4 - 
       160*(-3 + Zeta[3])))/1920 - 
   (M^2*(-(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])*
     (12 + Pi^2 - 4*Zeta[3]))/12 - M^2*(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*(45*(949 + 168*x^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])))) - 
        240*(55 - 228*x^2 + 60*x^4)*Zeta[3]))/1440) - 
   (M^2 + (M^2*Pi^2)/12)*(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) + 
   (M^4*(1 + 2*x^2)*(9*Pi^4 - 40*Pi^2*(-3 + Zeta[3]) - 
      96*(5*Zeta[3] + 3*(-5 + Zeta[5]))))/2880 - 
   M^2*(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]) + 
     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*HPL[{-1, 0}, x]*
       (-((1 + x)^2*(22*Pi^2*(5 + x*(-14 + 5*x)) + 
           15*(11 + x*(70 + 11*x)))) + 192*Pi^2*(-1 + x^2)^2*Log[4] - 
        16*(-1 + x^2)^2*Zeta[3]))/12 + 
     (M^2*HPL[{1, 0}, x]*(-((-1 + x)^2*(26*Pi^2*(5 + x*(14 + 5*x)) - 
           15*(11 + x*(-70 + 11*x)))) + 192*Pi^2*(-1 + x^2)^2*Log[4] + 
        16*(-1 + x^2)^2*Zeta[3]))/12 + (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*x*HPL[{0, 0}, x]*(-2*Pi^2*(96 + x*(12 + x*(96 + 5*x))) + 
        8*x*(-45 + 4*Zeta[3]) + x^3*(165 + 16*Zeta[3])))/6 - 
     (M^2*(-385875 - 234360*x^2 + 2*Pi^4*(1515 + 
          4*x*(840 + x*(-1311 + 10*x*(84 + 37*x)))) + 
        30*Pi^2*(-275 + 4*x*(1380 - 5*x*(156 + x*(-276 + 11*x)) - 
            2496*(1 + x^2)*Log[2] + 1536*(1 + x^2)*Log[2]^2)) + 
        80*(363 - 4680*x^2 + 396*x^4 + 2*Pi^2*(55 - 114*x^2 + 56*x^4))*
         Zeta[3] + 576*(359 - 722*x^2 + 360*x^4)*Zeta[5]))/2880), 
 MI[p4n6a, -3][x] -> -M^2/2, MI[p4n6a, -2][x] -> -M^2, 
 MI[p4n6a, -1][x] -> (M^2*(-12 + Pi^2*(-11 + 8*x^2)))/24 - 
   2*M^2*(-1 + x^2)*HPL[{-1, 0}, x] + 4*M^2*x^2*HPL[{0, 0}, x] + 
   2*M^2*(-1 + x^2)*HPL[{1, 0}, x], MI[p4n6a, 0][x] -> 
  -2*M^2*Pi^2*(-1 + x^2)*HPL[{-1}, x] - 4*M^2*(1 + x)*(-1 + 2*x)*
    HPL[{-1, 0}, x] + 16*M^2*x^2*HPL[{0, 0}, x] + 
   4*(-1 + x)*(M^2 + 2*M^2*x)*HPL[{1, 0}, x] + 
   4*M^2*(-1 + x^2)*HPL[{-1, -1, 0}, x] - 8*M^2*(-1 + x^2)*
    HPL[{-1, 1, 0}, x] - 24*M^2*x^2*HPL[{0, 0, 0}, x] - 
   8*M^2*(-1 + x^2)*HPL[{1, -1, 0}, x] + 4*M^2*(-1 + x^2)*HPL[{1, 1, 0}, x] + 
   (M^2*(60 + Pi^2*(-11 + 8*x*(-3 + 2*x)) + 6*(-7 + 8*x^2)*Zeta[3]))/12, 
 MI[p4n6a, 1][x] -> 8*M^2*Pi^2*x*HPL[{0}, x] + 16*M^2*x*HPL[{-2, 0}, x] + 
   4*M^2*Pi^2*(-1 + x^2)*HPL[{-1, -1}, x] + 
   (M^2*(4 + 7*Pi^2*(-1 + x) - 52*x)*(1 + x)*HPL[{-1, 0}, x])/2 + 
   M^2*(52 + Pi^2)*x^2*HPL[{0, 0}, x] - 8*M^2*Pi^2*(-1 + x^2)*
    HPL[{1, -1}, x] + (M^2*(-1 + x)*(4 + 52*x + 9*Pi^2*(1 + x))*
     HPL[{1, 0}, x])/2 + 16*M^2*x*HPL[{2, 0}, x] + 
   8*M^2*(-1 + x^2)*HPL[{-1, -2, 0}, x] + 8*M^2*(1 + x)*(-1 + 2*x)*
    HPL[{-1, -1, 0}, x] - 16*M^2*(1 + x)*(-1 + 2*x)*HPL[{-1, 1, 0}, x] + 
   8*M^2*(-1 + x^2)*HPL[{-1, 2, 0}, x] - 96*M^2*x^2*HPL[{0, 0, 0}, x] + 
   8*M^2*(-1 + x^2)*HPL[{1, -2, 0}, x] - 16*(-1 + x)*(M^2 + 2*M^2*x)*
    HPL[{1, -1, 0}, x] + 8*(-1 + x)*(M^2 + 2*M^2*x)*HPL[{1, 1, 0}, x] + 
   8*M^2*(-1 + x^2)*HPL[{1, 2, 0}, x] - 8*M^2*(-1 + x^2)*
    HPL[{-1, -1, -1, 0}, x] + 16*M^2*(-1 + x^2)*HPL[{-1, -1, 1, 0}, x] + 
   16*M^2*(-1 + x^2)*HPL[{-1, 0, 0, 0}, x] + 32*M^2*(-1 + x^2)*
    HPL[{-1, 1, -1, 0}, x] - 16*M^2*(-1 + x^2)*HPL[{-1, 1, 1, 0}, x] + 
   112*M^2*x^2*HPL[{0, 0, 0, 0}, x] + 16*M^2*(-1 + x^2)*
    HPL[{1, -1, -1, 0}, x] - 32*M^2*(-1 + x^2)*HPL[{1, -1, 1, 0}, x] - 
   16*M^2*(-1 + x^2)*HPL[{1, 0, 0, 0}, x] - 16*M^2*(-1 + x^2)*
    HPL[{1, 1, -1, 0}, x] + 8*M^2*(-1 + x^2)*HPL[{1, 1, 1, 0}, x] + 
   4*M^2*(-1 + x^2)*HPL[{1}, x]*(Pi^2*Log[4] + 3*Zeta[3]) + 
   4*M^2*(1 + x)*HPL[{-1}, x]*(Pi^2*(1 - 2*x + (-1 + x)*Log[4]) - 
     3*(-1 + x)*Zeta[3]) + 
   (M^2*(Pi^4*(-1321 + 1264*x^2) + 120*Pi^2*(-11 + 104*x^2 + 
        96*x*(-3 + Log[16])) + 1440*(59 + 2*(-7 + 16*x^2)*Zeta[3])))/2880, 
 MI[p4n6a, 2][x] -> 16*M^2*Pi^2*x*HPL[{-2}, x] - 64*M^2*x*HPL[{-3, 0}, x] + 
   96*M^2*x*HPL[{-2, 0}, x] + 8*M^2*Pi^2*(-1 + x^2)*HPL[{-1, -2}, x] + 
   8*M^2*Pi^2*(-1 + x^2)*HPL[{1, -2}, x] + 96*M^2*x*HPL[{2, 0}, x] - 
   64*M^2*x*HPL[{3, 0}, x] - 32*M^2*x*HPL[{-2, -1, 0}, x] + 
   64*M^2*x*HPL[{-2, 1, 0}, x] - 32*M^2*(-1 + x^2)*HPL[{-1, -3, 0}, x] + 
   16*M^2*(1 + x)*(-1 + 2*x)*HPL[{-1, -2, 0}, x] - 
   8*M^2*Pi^2*(-1 + x^2)*HPL[{-1, -1, -1}, x] - 
   M^2*(4 + 7*Pi^2*(-1 + x) - 52*x)*(1 + x)*HPL[{-1, -1, 0}, x] - 
   16*M^2*Pi^2*(-1 + x^2)*HPL[{-1, 0, 0}, x] + 32*M^2*Pi^2*(-1 + x^2)*
    HPL[{-1, 1, -1}, x] - 2*M^2*(1 + x)*(-4 + 9*Pi^2*(-1 + x) + 52*x)*
    HPL[{-1, 1, 0}, x] + 16*M^2*(1 + x)*(-1 + 2*x)*HPL[{-1, 2, 0}, x] - 
   32*M^2*(-1 + x^2)*HPL[{-1, 3, 0}, x] - 6*M^2*(52 + Pi^2)*x^2*
    HPL[{0, 0, 0}, x] - 32*M^2*(-1 + x^2)*HPL[{1, -3, 0}, x] + 
   16*(-1 + x)*(M^2 + 2*M^2*x)*HPL[{1, -2, 0}, x] + 
   16*M^2*Pi^2*(-1 + x^2)*HPL[{1, -1, -1}, x] + 
   2*M^2*(-1 + x)*(-4 - 52*x + 7*Pi^2*(1 + x))*HPL[{1, -1, 0}, x] - 
   16*M^2*Pi^2*(-1 + x^2)*HPL[{1, 0, 0}, x] - 16*M^2*Pi^2*(-1 + x^2)*
    HPL[{1, 1, -1}, x] + M^2*(-1 + x)*(4 + 52*x + 9*Pi^2*(1 + x))*
    HPL[{1, 1, 0}, x] + 16*(-1 + x)*(M^2 + 2*M^2*x)*HPL[{1, 2, 0}, x] - 
   32*M^2*(-1 + x^2)*HPL[{1, 3, 0}, x] - 64*M^2*x*HPL[{2, -1, 0}, x] + 
   32*M^2*x*HPL[{2, 1, 0}, x] - 16*M^2*(-1 + x^2)*HPL[{-1, -2, -1, 0}, x] + 
   32*M^2*(-1 + x^2)*HPL[{-1, -2, 1, 0}, x] - 
   16*M^2*(-1 + x^2)*HPL[{-1, -1, -2, 0}, x] - 16*M^2*(1 + x)*(-1 + 2*x)*
    HPL[{-1, -1, -1, 0}, x] + 32*M^2*(1 + x)*(-1 + 2*x)*
    HPL[{-1, -1, 1, 0}, x] - 16*M^2*(-1 + x^2)*HPL[{-1, -1, 2, 0}, x] + 
   32*M^2*(1 + x)*(-1 + 2*x)*HPL[{-1, 0, 0, 0}, x] - 
   32*M^2*(-1 + x^2)*HPL[{-1, 1, -2, 0}, x] + 64*M^2*(1 + x)*(-1 + 2*x)*
    HPL[{-1, 1, -1, 0}, x] - 32*M^2*(1 + x)*(-1 + 2*x)*
    HPL[{-1, 1, 1, 0}, x] - 32*M^2*(-1 + x^2)*HPL[{-1, 1, 2, 0}, x] - 
   32*M^2*(-1 + x^2)*HPL[{-1, 2, -1, 0}, x] + 
   16*M^2*(-1 + x^2)*HPL[{-1, 2, 1, 0}, x] + 
   448*M^2*x^2*HPL[{0, 0, 0, 0}, x] - 16*M^2*(-1 + x^2)*
    HPL[{1, -2, -1, 0}, x] + 32*M^2*(-1 + x^2)*HPL[{1, -2, 1, 0}, x] + 
   32*M^2*(-1 + x^2)*HPL[{1, -1, -2, 0}, x] + 32*(-1 + x)*(M^2 + 2*M^2*x)*
    HPL[{1, -1, -1, 0}, x] - 64*(-1 + x)*(M^2 + 2*M^2*x)*
    HPL[{1, -1, 1, 0}, x] + 32*M^2*(-1 + x^2)*HPL[{1, -1, 2, 0}, x] - 
   32*(-1 + x)*(M^2 + 2*M^2*x)*HPL[{1, 0, 0, 0}, x] + 
   16*M^2*(-1 + x^2)*HPL[{1, 1, -2, 0}, x] - 32*(-1 + x)*(M^2 + 2*M^2*x)*
    HPL[{1, 1, -1, 0}, x] + 16*(-1 + x)*(M^2 + 2*M^2*x)*
    HPL[{1, 1, 1, 0}, x] + 16*M^2*(-1 + x^2)*HPL[{1, 1, 2, 0}, x] - 
   32*M^2*(-1 + x^2)*HPL[{1, 2, -1, 0}, x] + 16*M^2*(-1 + x^2)*
    HPL[{1, 2, 1, 0}, x] + 16*M^2*(-1 + x^2)*HPL[{-1, -1, -1, -1, 0}, x] - 
   32*M^2*(-1 + x^2)*HPL[{-1, -1, -1, 1, 0}, x] - 
   32*M^2*(-1 + x^2)*HPL[{-1, -1, 0, 0, 0}, x] - 
   64*M^2*(-1 + x^2)*HPL[{-1, -1, 1, -1, 0}, x] + 
   32*M^2*(-1 + x^2)*HPL[{-1, -1, 1, 1, 0}, x] - 
   96*M^2*(-1 + x^2)*HPL[{-1, 0, 0, 0, 0}, x] - 
   64*M^2*(-1 + x^2)*HPL[{-1, 1, -1, -1, 0}, x] + 
   128*M^2*(-1 + x^2)*HPL[{-1, 1, -1, 1, 0}, x] + 
   64*M^2*(-1 + x^2)*HPL[{-1, 1, 0, 0, 0}, x] + 
   64*M^2*(-1 + x^2)*HPL[{-1, 1, 1, -1, 0}, x] - 
   32*M^2*(-1 + x^2)*HPL[{-1, 1, 1, 1, 0}, x] - 
   480*M^2*x^2*HPL[{0, 0, 0, 0, 0}, x] - 32*M^2*(-1 + x^2)*
    HPL[{1, -1, -1, -1, 0}, x] + 64*M^2*(-1 + x^2)*
    HPL[{1, -1, -1, 1, 0}, x] + 64*M^2*(-1 + x^2)*HPL[{1, -1, 0, 0, 0}, x] + 
   128*M^2*(-1 + x^2)*HPL[{1, -1, 1, -1, 0}, x] - 
   64*M^2*(-1 + x^2)*HPL[{1, -1, 1, 1, 0}, x] + 
   96*M^2*(-1 + x^2)*HPL[{1, 0, 0, 0, 0}, x] + 
   32*M^2*(-1 + x^2)*HPL[{1, 1, -1, -1, 0}, x] - 
   64*M^2*(-1 + x^2)*HPL[{1, 1, -1, 1, 0}, x] - 
   32*M^2*(-1 + x^2)*HPL[{1, 1, 0, 0, 0}, x] - 
   32*M^2*(-1 + x^2)*HPL[{1, 1, 1, -1, 0}, x] + 
   16*M^2*(-1 + x^2)*HPL[{1, 1, 1, 1, 0}, x] + 16*M^2*Pi^2*x*HPL[{0}, x]*
    (3 - 2*Log[4]) + 4*M^2*x*HPL[{0, 0}, x]*(Pi^2*(-8 + x) - 
     x*(-40 + Zeta[3])) - 16*M^2*(-1 + x^2)*HPL[{-1, 1}, x]*
    (Pi^2*Log[4] + 3*Zeta[3]) + 8*M^2*(-1 + x^2)*HPL[{1, 1}, x]*
    (Pi^2*Log[4] + 3*Zeta[3]) - 8*M^2*(1 + x)*HPL[{-1, -1}, x]*
    (Pi^2*(1 - 2*x + (-1 + x)*Log[4]) - 3*(-1 + x)*Zeta[3]) - 
   M^2*(1 + x)*HPL[{-1, 0}, x]*(20 + 80*x + 
     Pi^2*(7 - 16*Log[4] + 2*x*(-7 + 8*Log[4])) - 2*(-1 + x)*Zeta[3]) + 
   16*M^2*(-1 + x)*HPL[{1, -1}, x]*(Pi^2*(-1 + x*(-2 + Log[4]) + Log[4]) - 
     3*(1 + x)*Zeta[3]) - M^2*(-1 + x)*HPL[{1, 0}, x]*
    (20 - 80*x + Pi^2*(-9*(1 + 2*x) + 16*(1 + x)*Log[4]) + 
     2*(1 + x)*Zeta[3]) - (M^2*(1 + x)*HPL[{-1}, x]*
     (Pi^2*(77*Pi^2*(-1 + x) + 60*(x*(13 + 16*(-1 + Log[2])*Log[2]) - 
          (-1 + Log[16])^2)) + 720*(-1 + 2*x)*Zeta[3]))/30 + 
   (M^2*(-1 + x)*HPL[{1}, x]*(Pi^4*(1 + x) + 240*Pi^2*Log[2]*
       (1 + 2*x - 2*(1 + x)*Log[2]) + 360*(1 + 2*x)*Zeta[3]))/15 + 
   (M^2*(Pi^4*(-1321 + 16*x*(-225 + 158*x)) + 
      60*Pi^2*(110 - 77*Zeta[3] + 16*x*(-75 - 48*Log[2]*(-3 + Log[4]) + 
          5*x*(4 + Zeta[3]))) + 144*(1190 + 5*(-7 + 104*x^2)*Zeta[3] + 
        (-717 + 720*x^2)*Zeta[5])))/1440, MI[p4n7, -3][x] -> 
  (M^4*x^2*(1 + 2*x^2))/2, MI[p4n7, -2][x] -> 
  -(M^4*x^2*(-7 - 16*x^2 + 4*(1 + 6*x^2)*HPL[{0}, x]))/4, 
 MI[p4n7, -1][x] -> (M^4*x^2*(75 + 11*Pi^2 + 240*x^2 - 10*Pi^2*x^2 + 
     8*Pi^2*x^4 - 12*(7 + 52*x^2)*HPL[{0}, x] + 24*(1 + 10*x^2)*
      HPL[{0}, x]^2 - 48*(-1 + x^2)^2*HPL[{-1, 0}, x] + 
     192*x^2*HPL[{0, 0}, x] + 96*x^4*HPL[{0, 0}, x] + 48*HPL[{1, 0}, x] - 
     96*x^2*HPL[{1, 0}, x] + 48*x^4*HPL[{1, 0}, x]))/24, 
 MI[p4n7, 0][x] -> 
  -(M^2*x^2*(2*((-5*M^2)/4 - 3*M^2*x^2 + 4*M^2*x^2*HPL[{0}, x])*
       (12 + Pi^2 + 24*(-1 + HPL[{0}, x])*HPL[{0}, x]) + 
      24*(1 - 2*HPL[{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]) - M^2*(1 + 2*x^2)*(12 + Pi^2 - 
        2*HPL[{0}, x]*(12 + Pi^2 + 4*HPL[{0}, x]*(-3 + 2*HPL[{0}, x])) - 
        4*Zeta[3]) + 24*(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)))/24, 
 MI[p4n7, 1][x] -> 
  -(M^2*x^2*(80*(12 + Pi^2 + 24*(-1 + HPL[{0}, x])*HPL[{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]) + 80*((-5*M^2)/4 - 3*M^2*x^2 + 
        4*M^2*x^2*HPL[{0}, x])*(12 + Pi^2 - 2*HPL[{0}, x]*
         (12 + Pi^2 + 4*HPL[{0}, x]*(-3 + 2*HPL[{0}, x])) - 4*Zeta[3]) - 
      M^2*(1 + 2*x^2)*(40*Pi^2 + 3*Pi^4 - 160*(-3 + Zeta[3]) + 
        80*HPL[{0}, x]*(-12 - Pi^2 + HPL[{0}, x]*(12 + Pi^2 + 
            4*(-2 + HPL[{0}, x])*HPL[{0}, x]) + 4*Zeta[3])) + 
      960*(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*(45*(949 + 168*x^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])))) - 240*(55 - 228*x^2 + 60*x^4)*Zeta[3]))/
         1440) + 960*(1 - 2*HPL[{0}, 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)))/960, 
 MI[p4n7, 2][x] -> 
  -(M^2*x^2*(240*(-(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])*(12 + Pi^2 - 2*HPL[{0}, x]*(12 + Pi^2 + 
          4*HPL[{0}, x]*(-3 + 2*HPL[{0}, x])) - 4*Zeta[3]) + 
      6*((-5*M^2)/4 - 3*M^2*x^2 + 4*M^2*x^2*HPL[{0}, x])*
       (40*Pi^2 + 3*Pi^4 - 160*(-3 + Zeta[3]) + 80*HPL[{0}, x]*
         (-12 - Pi^2 + HPL[{0}, x]*(12 + Pi^2 + 4*(-2 + HPL[{0}, x])*
             HPL[{0}, x]) + 4*Zeta[3])) + 2880*(1 - 2*HPL[{0}, 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*(45*(949 + 168*x^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])))) - 240*(55 - 228*x^2 + 60*x^4)*Zeta[3]))/
         1440) + 240*(12 + Pi^2 + 24*(-1 + HPL[{0}, x])*HPL[{0}, 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) + 
      M^2*(1 + 2*x^2)*(-9*Pi^4 + 160*(12 + Pi^2)*HPL[{0}, x]^3 - 
        960*HPL[{0}, x]^4 + 384*HPL[{0}, x]^5 + 6*HPL[{0}, x]*
         (40*Pi^2 + 3*Pi^4 - 160*(-3 + Zeta[3])) - 240*HPL[{0}, x]^2*
         (12 + Pi^2 - 4*Zeta[3]) + 40*Pi^2*(-3 + Zeta[3]) + 
        96*(-15 + 5*Zeta[3] + 3*Zeta[5])) + 
      2880*(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]) + 
        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*HPL[{-1, 0}, x]*
          (-((1 + x)^2*(22*Pi^2*(5 + x*(-14 + 5*x)) + 15*(11 + 
                x*(70 + 11*x)))) + 192*Pi^2*(-1 + x^2)^2*Log[4] - 
           16*(-1 + x^2)^2*Zeta[3]))/12 + (M^2*HPL[{1, 0}, x]*
          (-((-1 + x)^2*(26*Pi^2*(5 + x*(14 + 5*x)) - 15*(11 + 
                x*(-70 + 11*x)))) + 192*Pi^2*(-1 + x^2)^2*Log[4] + 
           16*(-1 + x^2)^2*Zeta[3]))/12 + (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*x*HPL[{0, 0}, x]*
          (-2*Pi^2*(96 + x*(12 + x*(96 + 5*x))) + 8*x*(-45 + 4*Zeta[3]) + 
           x^3*(165 + 16*Zeta[3])))/6 - 
        (M^2*(-385875 - 234360*x^2 + 2*Pi^4*(1515 + 
             4*x*(840 + x*(-1311 + 10*x*(84 + 37*x)))) + 
           30*Pi^2*(-275 + 4*x*(1380 - 5*x*(156 + x*(-276 + 11*x)) - 2496*
                (1 + x^2)*Log[2] + 1536*(1 + x^2)*Log[2]^2)) + 
           80*(363 - 4680*x^2 + 396*x^4 + 2*Pi^2*(55 - 114*x^2 + 56*x^4))*
            Zeta[3] + 576*(359 - 722*x^2 + 360*x^4)*Zeta[5]))/2880)))/2880, 
 MI[p4n7a, -3][x] -> -(M^2*x^2)/2, MI[p4n7a, -2][x] -> 
  -(M^2*x^2) + M^2*x^2*HPL[{0}, x], MI[p4n7a, -1][x] -> 
  (M^2*x^2*(-12 + Pi^2*(-11 + 8*x^2)))/24 + 2*M^2*x^2*HPL[{0}, x] - 
   2*M^2*x^2*(-1 + x^2)*HPL[{-1, 0}, x] + 2*M^2*x^2*(-1 + 2*x^2)*
    HPL[{0, 0}, x] + 2*M^2*x^2*(-1 + x^2)*HPL[{1, 0}, x], 
 MI[p4n7a, 0][x] -> -2*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{-1}, x] + 
   (M^2*x^2*(12 + Pi^2*(11 - 8*x^2))*HPL[{0}, x])/12 + 
   4*M^2*x^2*(-1 + x^2)*HPL[{-2, 0}, x] - 4*M^2*x^2*(1 + x)*(-1 + 2*x)*
    HPL[{-1, 0}, x] + 4*M^2*x^2*(-1 + 4*x^2)*HPL[{0, 0}, x] + 
   4*M^2*(-1 + x)*x^2*(1 + 2*x)*HPL[{1, 0}, x] - 
   4*M^2*x^2*(-1 + x^2)*HPL[{2, 0}, x] + 4*M^2*x^2*(-1 + x^2)*
    HPL[{-1, -1, 0}, x] + 8*M^2*x^2*(-1 + x^2)*HPL[{-1, 0, 0}, x] - 
   8*M^2*x^2*(-1 + x^2)*HPL[{-1, 1, 0}, x] + M^2*(4*x^2 - 48*x^4)*
    HPL[{0, 0, 0}, x] - 8*M^2*x^2*(-1 + x^2)*HPL[{1, -1, 0}, x] - 
   8*M^2*x^2*(-1 + x^2)*HPL[{1, 0, 0}, x] + 4*M^2*x^2*(-1 + x^2)*
    HPL[{1, 1, 0}, x] + (M^2*x^2*(60 + Pi^2*(-11 + 8*x*(-3 + 2*x)) + 
      6*(-7 + 8*x^2)*Zeta[3]))/12, MI[p4n7a, 1][x] -> 
  4*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{-2}, x] - 8*M^2*x^2*(-1 + x^2)*
    HPL[{-3, 0}, x] + 8*M^2*x^2*(-1 + x*(3 + 2*x))*HPL[{-2, 0}, x] + 
   4*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{-1, -1}, x] + 
   (M^2*(4 + 15*Pi^2*(-1 + x) - 52*x)*x^2*(1 + x)*HPL[{-1, 0}, x])/2 + 
   (M^2*x^2*(-12 + 312*x^2 + Pi^2*(-11 + 14*x^2))*HPL[{0, 0}, x])/6 - 
   8*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{1, -1}, x] + 
   (M^2*(-1 + x)*x^2*(4 + 52*x + 9*Pi^2*(1 + x))*HPL[{1, 0}, x])/2 + 
   8*M^2*x^2*(1 + (3 - 2*x)*x)*HPL[{2, 0}, x] + 
   8*M^2*x^2*(-1 + x^2)*HPL[{3, 0}, x] - 8*M^2*x^2*(-1 + x^2)*
    HPL[{-2, -1, 0}, x] - 16*M^2*x^2*(-1 + x^2)*HPL[{-2, 0, 0}, x] + 
   16*M^2*x^2*(-1 + x^2)*HPL[{-2, 1, 0}, x] + 8*M^2*x^2*(1 + x)*(-1 + 2*x)*
    HPL[{-1, -1, 0}, x] + 16*M^2*x^2*(1 + x)*(-1 + 2*x)*HPL[{-1, 0, 0}, x] - 
   16*M^2*x^2*(1 + x)*(-1 + 2*x)*HPL[{-1, 1, 0}, x] + 
   24*M^2*x^2*(-1 + x^2)*HPL[{-1, 2, 0}, x] + 8*M^2*x^2*(1 - 24*x^2)*
    HPL[{0, 0, 0}, x] + 24*M^2*x^2*(-1 + x^2)*HPL[{1, -2, 0}, x] - 
   16*M^2*(-1 + x)*x^2*(1 + 2*x)*HPL[{1, -1, 0}, x] - 
   16*M^2*(-1 + x)*x^2*(1 + 2*x)*HPL[{1, 0, 0}, x] + 
   8*M^2*(-1 + x)*x^2*(1 + 2*x)*HPL[{1, 1, 0}, x] + 
   16*M^2*x^2*(-1 + x^2)*HPL[{2, -1, 0}, x] + 16*M^2*x^2*(-1 + x^2)*
    HPL[{2, 0, 0}, x] - 8*M^2*x^2*(-1 + x^2)*HPL[{2, 1, 0}, x] - 
   8*M^2*x^2*(-1 + x^2)*HPL[{-1, -1, -1, 0}, x] - 
   16*M^2*x^2*(-1 + x^2)*HPL[{-1, -1, 0, 0}, x] + 
   16*M^2*x^2*(-1 + x^2)*HPL[{-1, -1, 1, 0}, x] - 
   8*M^2*x^2*(-1 + x^2)*HPL[{-1, 0, 0, 0}, x] + 32*M^2*x^2*(-1 + x^2)*
    HPL[{-1, 1, -1, 0}, x] + 32*M^2*x^2*(-1 + x^2)*HPL[{-1, 1, 0, 0}, x] - 
   16*M^2*x^2*(-1 + x^2)*HPL[{-1, 1, 1, 0}, x] + 
   8*M^2*x^2*(-1 + 50*x^2)*HPL[{0, 0, 0, 0}, x] + 
   16*M^2*x^2*(-1 + x^2)*HPL[{1, -1, -1, 0}, x] + 
   32*M^2*x^2*(-1 + x^2)*HPL[{1, -1, 0, 0}, x] - 
   32*M^2*x^2*(-1 + x^2)*HPL[{1, -1, 1, 0}, x] + 
   8*M^2*x^2*(-1 + x^2)*HPL[{1, 0, 0, 0}, x] - 16*M^2*x^2*(-1 + x^2)*
    HPL[{1, 1, -1, 0}, x] - 16*M^2*x^2*(-1 + x^2)*HPL[{1, 1, 0, 0}, x] + 
   8*M^2*x^2*(-1 + x^2)*HPL[{1, 1, 1, 0}, x] + 4*M^2*x^2*(-1 + x^2)*
    HPL[{1}, x]*(Pi^2*Log[4] + 3*Zeta[3]) + 4*M^2*x^2*(1 + x)*HPL[{-1}, x]*
    (Pi^2*(1 - 2*x + (-1 + x)*Log[4]) - 3*(-1 + x)*Zeta[3]) + 
   (M^2*x^2*HPL[{0}, x]*(-60 + Pi^2*(11 + 8*(9 - 2*x)*x) - 
      6*(-7 + 8*x^2)*Zeta[3]))/6 + 
   (M^2*x^2*(Pi^4*(-1321 + 1264*x^2) + 120*Pi^2*(-11 + 104*x^2 + 
        96*x*(-3 + Log[16])) + 1440*(59 + 2*(-7 + 16*x^2)*Zeta[3])))/2880, 
 MI[p4n7a, 2][x] -> -8*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{-3}, x] + 
   16*M^2*x^2*(-1 + x^2)*HPL[{-4, 0}, x] - 16*M^2*x^2*(-1 + x*(9 + 2*x))*
    HPL[{-3, 0}, x] - 8*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{-2, -1}, x] + 
   M^2*x^2*(-4 + 4*x*(36 + 13*x) - 15*Pi^2*(-1 + x^2))*HPL[{-2, 0}, x] + 
   24*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{1, -2}, x] + 16*M^2*Pi^2*x^2*(-1 + x^2)*
    HPL[{2, -1}, x] + M^2*x^2*(4 + 4*(36 - 13*x)*x - 9*Pi^2*(-1 + x^2))*
    HPL[{2, 0}, x] + 16*M^2*x^2*(-1 + x*(-9 + 2*x))*HPL[{3, 0}, x] - 
   16*M^2*x^2*(-1 + x^2)*HPL[{4, 0}, x] + 16*M^2*x^2*(-1 + x^2)*
    HPL[{-3, -1, 0}, x] + 32*M^2*x^2*(-1 + x^2)*HPL[{-3, 0, 0}, x] - 
   32*M^2*x^2*(-1 + x^2)*HPL[{-3, 1, 0}, x] - 16*M^2*x^2*(-1 + x*(3 + 2*x))*
    HPL[{-2, -1, 0}, x] - 32*M^2*x^2*(-1 + x*(3 + 2*x))*HPL[{-2, 0, 0}, x] + 
   32*M^2*x^2*(-1 + x*(3 + 2*x))*HPL[{-2, 1, 0}, x] - 
   48*M^2*x^2*(-1 + x^2)*HPL[{-2, 2, 0}, x] - 48*M^2*x^2*(-1 + x^2)*
    HPL[{-1, -3, 0}, x] - 8*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{-1, -1, -1}, x] - 
   M^2*(4 + 15*Pi^2*(-1 + x) - 52*x)*x^2*(1 + x)*HPL[{-1, -1, 0}, x] - 
   2*M^2*(4 + 19*Pi^2*(-1 + x) - 52*x)*x^2*(1 + x)*HPL[{-1, 0, 0}, x] + 
   32*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{-1, 1, -1}, x] - 
   2*M^2*x^2*(1 + x)*(-4 + 9*Pi^2*(-1 + x) + 52*x)*HPL[{-1, 1, 0}, x] + 
   48*M^2*x^2*(1 + x)*(-1 + 2*x)*HPL[{-1, 2, 0}, x] - 
   96*M^2*x^2*(-1 + x^2)*HPL[{-1, 3, 0}, x] + 
   (M^2*x^2*(12 + 11*Pi^2 - 4*(468 + 11*Pi^2)*x^2)*HPL[{0, 0, 0}, x])/3 - 
   96*M^2*x^2*(-1 + x^2)*HPL[{1, -3, 0}, x] + 48*M^2*(-1 + x)*x^2*(1 + 2*x)*
    HPL[{1, -2, 0}, x] + 16*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{1, -1, -1}, x] + 
   2*M^2*(-1 + x)*x^2*(-4 - 52*x + 15*Pi^2*(1 + x))*HPL[{1, -1, 0}, x] - 
   2*M^2*(-1 + x)*x^2*(4 + 52*x + 17*Pi^2*(1 + x))*HPL[{1, 0, 0}, x] - 
   16*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{1, 1, -1}, x] + 
   M^2*(-1 + x)*x^2*(4 + 52*x + 9*Pi^2*(1 + x))*HPL[{1, 1, 0}, x] - 
   48*M^2*x^2*(-1 + x^2)*HPL[{1, 3, 0}, x] - 48*M^2*x^2*(-1 + x^2)*
    HPL[{2, -2, 0}, x] + 32*M^2*x^2*(-1 + x*(-3 + 2*x))*HPL[{2, -1, 0}, x] + 
   32*M^2*x^2*(-1 + x*(-3 + 2*x))*HPL[{2, 0, 0}, x] + 
   16*M^2*x^2*(1 + (3 - 2*x)*x)*HPL[{2, 1, 0}, x] - 
   32*M^2*x^2*(-1 + x^2)*HPL[{3, -1, 0}, x] - 32*M^2*x^2*(-1 + x^2)*
    HPL[{3, 0, 0}, x] + 16*M^2*x^2*(-1 + x^2)*HPL[{3, 1, 0}, x] + 
   16*M^2*x^2*(-1 + x^2)*HPL[{-2, -1, -1, 0}, x] + 
   32*M^2*x^2*(-1 + x^2)*HPL[{-2, -1, 0, 0}, x] - 
   32*M^2*x^2*(-1 + x^2)*HPL[{-2, -1, 1, 0}, x] + 
   16*M^2*x^2*(-1 + x^2)*HPL[{-2, 0, 0, 0}, x] - 
   64*M^2*x^2*(-1 + x^2)*HPL[{-2, 1, -1, 0}, x] - 
   64*M^2*x^2*(-1 + x^2)*HPL[{-2, 1, 0, 0}, x] + 
   32*M^2*x^2*(-1 + x^2)*HPL[{-2, 1, 1, 0}, x] - 
   16*M^2*x^2*(1 + x)*(-1 + 2*x)*HPL[{-1, -1, -1, 0}, x] - 
   32*M^2*x^2*(1 + x)*(-1 + 2*x)*HPL[{-1, -1, 0, 0}, x] + 
   32*M^2*x^2*(1 + x)*(-1 + 2*x)*HPL[{-1, -1, 1, 0}, x] - 
   48*M^2*x^2*(-1 + x^2)*HPL[{-1, -1, 2, 0}, x] - 
   16*M^2*x^2*(1 + x)*(-1 + 2*x)*HPL[{-1, 0, 0, 0}, x] - 
   96*M^2*x^2*(-1 + x^2)*HPL[{-1, 1, -2, 0}, x] + 
   64*M^2*x^2*(1 + x)*(-1 + 2*x)*HPL[{-1, 1, -1, 0}, x] + 
   64*M^2*x^2*(1 + x)*(-1 + 2*x)*HPL[{-1, 1, 0, 0}, x] - 
   32*M^2*x^2*(1 + x)*(-1 + 2*x)*HPL[{-1, 1, 1, 0}, x] - 
   96*M^2*x^2*(-1 + x^2)*HPL[{-1, 2, -1, 0}, x] - 
   96*M^2*x^2*(-1 + x^2)*HPL[{-1, 2, 0, 0}, x] + 
   48*M^2*x^2*(-1 + x^2)*HPL[{-1, 2, 1, 0}, x] + 16*M^2*x^2*(-1 + 100*x^2)*
    HPL[{0, 0, 0, 0}, x] - 48*M^2*x^2*(-1 + x^2)*HPL[{1, -2, -1, 0}, x] - 
   96*M^2*x^2*(-1 + x^2)*HPL[{1, -2, 0, 0}, x] + 
   96*M^2*x^2*(-1 + x^2)*HPL[{1, -2, 1, 0}, x] + 
   32*M^2*(-1 + x)*x^2*(1 + 2*x)*HPL[{1, -1, -1, 0}, x] + 
   64*M^2*(-1 + x)*x^2*(1 + 2*x)*HPL[{1, -1, 0, 0}, x] - 
   64*M^2*(-1 + x)*x^2*(1 + 2*x)*HPL[{1, -1, 1, 0}, x] + 
   96*M^2*x^2*(-1 + x^2)*HPL[{1, -1, 2, 0}, x] + 
   16*M^2*(-1 + x)*x^2*(1 + 2*x)*HPL[{1, 0, 0, 0}, x] + 
   48*M^2*x^2*(-1 + x^2)*HPL[{1, 1, -2, 0}, x] - 
   32*M^2*(-1 + x)*x^2*(1 + 2*x)*HPL[{1, 1, -1, 0}, x] - 
   32*M^2*(-1 + x)*x^2*(1 + 2*x)*HPL[{1, 1, 0, 0}, x] + 
   16*M^2*(-1 + x)*x^2*(1 + 2*x)*HPL[{1, 1, 1, 0}, x] - 
   32*M^2*x^2*(-1 + x^2)*HPL[{2, -1, -1, 0}, x] - 
   64*M^2*x^2*(-1 + x^2)*HPL[{2, -1, 0, 0}, x] + 
   64*M^2*x^2*(-1 + x^2)*HPL[{2, -1, 1, 0}, x] - 
   16*M^2*x^2*(-1 + x^2)*HPL[{2, 0, 0, 0}, x] + 32*M^2*x^2*(-1 + x^2)*
    HPL[{2, 1, -1, 0}, x] + 32*M^2*x^2*(-1 + x^2)*HPL[{2, 1, 0, 0}, x] - 
   16*M^2*x^2*(-1 + x^2)*HPL[{2, 1, 1, 0}, x] + 16*M^2*x^2*(-1 + x^2)*
    HPL[{-1, -1, -1, -1, 0}, x] + 32*M^2*x^2*(-1 + x^2)*
    HPL[{-1, -1, -1, 0, 0}, x] - 32*M^2*x^2*(-1 + x^2)*
    HPL[{-1, -1, -1, 1, 0}, x] + 16*M^2*x^2*(-1 + x^2)*
    HPL[{-1, -1, 0, 0, 0}, x] - 64*M^2*x^2*(-1 + x^2)*
    HPL[{-1, -1, 1, -1, 0}, x] - 64*M^2*x^2*(-1 + x^2)*
    HPL[{-1, -1, 1, 0, 0}, x] + 32*M^2*x^2*(-1 + x^2)*
    HPL[{-1, -1, 1, 1, 0}, x] - 160*M^2*x^2*(-1 + x^2)*
    HPL[{-1, 0, 0, 0, 0}, x] - 64*M^2*x^2*(-1 + x^2)*
    HPL[{-1, 1, -1, -1, 0}, x] - 128*M^2*x^2*(-1 + x^2)*
    HPL[{-1, 1, -1, 0, 0}, x] + 128*M^2*x^2*(-1 + x^2)*
    HPL[{-1, 1, -1, 1, 0}, x] - 32*M^2*x^2*(-1 + x^2)*
    HPL[{-1, 1, 0, 0, 0}, x] + 64*M^2*x^2*(-1 + x^2)*
    HPL[{-1, 1, 1, -1, 0}, x] + 64*M^2*x^2*(-1 + x^2)*
    HPL[{-1, 1, 1, 0, 0}, x] - 32*M^2*x^2*(-1 + x^2)*
    HPL[{-1, 1, 1, 1, 0}, x] + 16*M^2*x^2*(1 - 180*x^2)*
    HPL[{0, 0, 0, 0, 0}, x] - 32*M^2*x^2*(-1 + x^2)*
    HPL[{1, -1, -1, -1, 0}, x] - 64*M^2*x^2*(-1 + x^2)*
    HPL[{1, -1, -1, 0, 0}, x] + 64*M^2*x^2*(-1 + x^2)*
    HPL[{1, -1, -1, 1, 0}, x] - 32*M^2*x^2*(-1 + x^2)*
    HPL[{1, -1, 0, 0, 0}, x] + 128*M^2*x^2*(-1 + x^2)*
    HPL[{1, -1, 1, -1, 0}, x] + 128*M^2*x^2*(-1 + x^2)*
    HPL[{1, -1, 1, 0, 0}, x] - 64*M^2*x^2*(-1 + x^2)*
    HPL[{1, -1, 1, 1, 0}, x] + 160*M^2*x^2*(-1 + x^2)*
    HPL[{1, 0, 0, 0, 0}, x] + 32*M^2*x^2*(-1 + x^2)*
    HPL[{1, 1, -1, -1, 0}, x] + 64*M^2*x^2*(-1 + x^2)*
    HPL[{1, 1, -1, 0, 0}, x] - 64*M^2*x^2*(-1 + x^2)*
    HPL[{1, 1, -1, 1, 0}, x] + 16*M^2*x^2*(-1 + x^2)*
    HPL[{1, 1, 0, 0, 0}, x] - 32*M^2*x^2*(-1 + x^2)*
    HPL[{1, 1, 1, -1, 0}, x] - 32*M^2*x^2*(-1 + x^2)*
    HPL[{1, 1, 1, 0, 0}, x] + 16*M^2*x^2*(-1 + x^2)*HPL[{1, 1, 1, 1, 0}, x] - 
   8*M^2*x^2*(-1 + x^2)*HPL[{2}, x]*(Pi^2*Log[4] + 3*Zeta[3]) - 
   16*M^2*x^2*(-1 + x^2)*HPL[{-1, 1}, x]*(Pi^2*Log[4] + 3*Zeta[3]) + 
   8*M^2*x^2*(-1 + x^2)*HPL[{1, 1}, x]*(Pi^2*Log[4] + 3*Zeta[3]) - 
   M^2*x^2*(1 + x)*HPL[{-1, 0}, x]*(20 + 80*x + 
     3*Pi^2*(5 - 16*Log[2] + 2*x*(-5 + Log[256])) - 26*(-1 + x)*Zeta[3]) - 
   8*M^2*x^2*(1 + x)*HPL[{-1, -1}, x]*(Pi^2*(1 - 2*x + (-1 + x)*Log[4]) - 
     3*(-1 + x)*Zeta[3]) + 16*M^2*(-1 + x)*x^2*HPL[{1, -1}, x]*
    (Pi^2*(-1 + x*(-2 + Log[4]) + Log[4]) - 3*(1 + x)*Zeta[3]) - 
   M^2*(-1 + x)*x^2*HPL[{1, 0}, x]*(20 - 80*x + 
     3*Pi^2*(-3 + 8*Log[4] + x*(-6 + 8*Log[4])) + 26*(1 + x)*Zeta[3]) + 
   (M^2*(-1 + x)*x^2*HPL[{1}, x]*(Pi^4*(1 + x) + 240*Pi^2*Log[2]*
       (1 + 2*x - 2*(1 + x)*Log[2]) + 360*(1 + 2*x)*Zeta[3]))/15 - 
   8*M^2*x^2*HPL[{-2}, x]*(Pi^2*(1 + x*(-3 + x*(-2 + Log[4])) - Log[4]) - 
     3*(-1 + x^2)*Zeta[3]) + (M^2*x^2*HPL[{-1}, x]*
     (-(Pi^2*(1 + x)*(77*Pi^2*(-1 + x) + 
         60*(x*(13 + 16*(-1 + Log[2])*Log[2]) - (-1 + Log[16])^2))) - 
      720*(-1 + x + 2*x^2)*Zeta[3]))/30 - 
   (M^2*x^2*HPL[{0}, x]*(Pi^4*(-1321 + 1264*x^2) + 
      120*Pi^2*(-11 + 8*x*(13*x + 36*(-3 + Log[16]))) + 
      1440*(59 + 2*(-7 + 16*x^2)*Zeta[3])))/1440 + 
   (M^2*x^2*HPL[{0, 0}, x]*(Pi^2*(-11 + 4*x*(-54 + 7*x)) + 
      6*(10 - 7*Zeta[3] + x^2*(80 + 6*Zeta[3]))))/3 + 
   (M^2*x^2*(Pi^4*(-1321 + 16*x*(-225 + 158*x)) + 
      60*Pi^2*(110 - 77*Zeta[3] + 16*x*(-75 - 48*Log[2]*(-3 + Log[4]) + 
          5*x*(4 + Zeta[3]))) + 144*(1190 + 5*(-7 + 104*x^2)*Zeta[3] + 
        (-717 + 720*x^2)*Zeta[5])))/1440, MI[p4n8, -3][x] -> 
  (M^4*x^2*(2 + x^2))/3, MI[p4n8, -2][x] -> (M^4*(-1 + 15*x^2 + 7*x^4))/6 - 
   2*M^4*x^2*(1 + x^2)*HPL[{0}, x], MI[p4n8, -1][x] -> 
  (M^4*(-35 + 3*x^2*(71 + 25*x^2 + Pi^2*(2 + x^2))))/36 - 
   7*M^4*x^2*(1 + x^2)*HPL[{0}, x] + 4*M^4*x^2*(1 + 3*x^2)*HPL[{0, 0}, x], 
 MI[p4n8, 0][x] -> -(M^4*x^2*(Pi^2*(11 - 5*x^2) + 63*(1 + x^2))*HPL[{0}, x])/
    6 - 8*M^4*x^2*(-1 + x^2)*HPL[{-2, 0}, x] - 2*M^4*(-1 + x^2 + x^4 - x^6)*
    HPL[{-1, 0}, x] - 2*M^4*x^2*(-7 - 23*x^2 + 2*x^4)*HPL[{0, 0}, x] - 
   2*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{1, 0}, x] + 
   8*M^4*x^2*(-1 + x^2)*HPL[{2, 0}, x] - 8*M^4*x^2*(1 + 7*x^2)*
    HPL[{0, 0, 0}, x] - 
   (M^4*(559 + 9*Pi^2*(9 + x^2*(1 + x^2)*(-23 + 8*x^2)) - 
      9*x^2*(321 - 80*Zeta[3] + x^2*(19 + 56*Zeta[3]))))/216, 
 MI[p4n8, 1][x] -> -16*M^4*Pi^2*x^2*(-1 + x^2)*HPL[{-2}, x] - 
   4*M^4*Pi^2*(-1 + x^2 + x^4 - x^6)*HPL[{-1}, x] + 
   16*M^4*x^2*(-1 + x^2)*HPL[{-3, 0}, x] + 4*M^4*x^2*(7 - 9*x^2 + 2*x^4)*
    HPL[{-2, 0}, x] + (M^4*(1 + x)^2*(35 + x*(-94 + x*(54 + x*(-94 + 35*x))))*
     HPL[{-1, 0}, x])/3 - (M^4*x^2*(-87 - 363*x^2 + 70*x^4 - Pi^2*(11 + x^2))*
     HPL[{0, 0}, x])/3 - 
   (M^4*(-1 + x)^2*(35 + x*(94 + x*(54 + x*(94 + 35*x))))*HPL[{1, 0}, x])/3 - 
   4*M^4*x^2*(7 - 9*x^2 + 2*x^4)*HPL[{2, 0}, x] - 
   16*M^4*x^2*(-1 + x^2)*HPL[{3, 0}, x] + 32*M^4*x^2*(-1 + x^2)*
    HPL[{-2, -1, 0}, x] - 16*M^4*x^2*(-1 + x^2)*HPL[{-2, 0, 0}, x] - 
   64*M^4*x^2*(-1 + x^2)*HPL[{-2, 1, 0}, x] - 8*M^4*(-1 + x^2)^2*(1 + x^2)*
    HPL[{-1, -1, 0}, x] - 4*M^4*(-1 + x^2 + x^4 - x^6)*HPL[{-1, 0, 0}, x] + 
   16*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{-1, 1, 0}, x] - 
   4*M^4*x^2*(7 + 55*x^2 - 6*x^4)*HPL[{0, 0, 0}, x] + 
   16*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{1, -1, 0}, x] - 
   4*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{1, 0, 0}, x] - 
   8*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{1, 1, 0}, x] - 
   64*M^4*x^2*(-1 + x^2)*HPL[{2, -1, 0}, x] + 16*M^4*x^2*(-1 + x^2)*
    HPL[{2, 0, 0}, x] + 32*M^4*x^2*(-1 + x^2)*HPL[{2, 1, 0}, x] + 
   16*M^4*x^2*(1 + 15*x^2)*HPL[{0, 0, 0, 0}, x] - 
   (M^4*x^2*HPL[{0}, x]*(-227*(1 + x^2) + Pi^2*(77 - 51*x^2 + 16*x^4) - 
      24*(-7 + 9*x^2)*Zeta[3]))/12 - 
   (M^4*(9*Pi^4*x^2*(1306 - 1363*x^2) + 70*(-391 - 9423*x^2 + 1323*x^4) + 
      90*Pi^2*(315 + x*(576 + x*(-1005 + x*(1920 + x*(-867 + 
                8*x*(72 + 35*x)))))) + 2160*(31 + 39*x^2 - 97*x^4 + 48*x^6)*
       Zeta[3]))/12960, MI[p4n8, 2][x] -> 
  32*M^4*Pi^2*x^2*(-1 + x^2)*HPL[{-3}, x] - 32*M^4*x^2*(-1 + x^2)*
    HPL[{-4, 0}, x] - 8*M^4*x^2*(7 - 9*x^2 + 2*x^4)*HPL[{-3, 0}, x] + 
   64*M^4*Pi^2*x^2*(-1 + x^2)*HPL[{-2, -1}, x] + 
   (2*M^4*x*(72 + x*(39 + 45*Pi^2*(-1 + x^2) + 
        x*(240 + x*(-237 + 72*x + 70*x^2))))*HPL[{-2, 0}, x])/3 - 
   16*M^4*Pi^2*(-1 + x^2)^2*(1 + x^2)*HPL[{-1, -1}, x] - 
   (M^4*(1 + x)^2*(-559 + 135*Pi^2*(-1 + x)^2*(1 + x^2) + 
      x*(2822 + x*(18 + (2822 - 559*x)*x)))*HPL[{-1, 0}, x])/18 + 
   32*M^4*Pi^2*(-1 + x^2)^2*(1 + x^2)*HPL[{1, -1}, x] - 
   (M^4*(-1 + x)^2*(559 + 297*Pi^2*(1 + x)^2*(1 + x^2) + 
      x*(2822 + x*(-18 + x*(2822 + 559*x))))*HPL[{1, 0}, x])/18 - 
   128*M^4*Pi^2*x^2*(-1 + x^2)*HPL[{2, -1}, x] - 
   (2*M^4*x*(-72 + x*(39 - 99*Pi^2*(-1 + x^2) + 
        x*(-240 + x*(-237 - 72*x + 70*x^2))))*HPL[{2, 0}, x])/3 + 
   8*M^4*x^2*(7 - 9*x^2 + 2*x^4)*HPL[{3, 0}, x] + 
   32*M^4*x^2*(-1 + x^2)*HPL[{4, 0}, x] - 64*M^4*x^2*(-1 + x^2)*
    HPL[{-3, -1, 0}, x] + 32*M^4*x^2*(-1 + x^2)*HPL[{-3, 0, 0}, x] + 
   128*M^4*x^2*(-1 + x^2)*HPL[{-3, 1, 0}, x] + 192*M^4*x^2*(-1 + x^2)*
    HPL[{-2, -2, 0}, x] - 16*M^4*x^2*(7 - 9*x^2 + 2*x^4)*
    HPL[{-2, -1, 0}, x] + 8*M^4*x^2*(7 - 9*x^2 + 2*x^4)*HPL[{-2, 0, 0}, x] + 
   32*M^4*x^2*(7 - 9*x^2 + 2*x^4)*HPL[{-2, 1, 0}, x] - 
   48*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{-1, -2, 0}, x] - 
   (4*M^4*(1 + x)^2*(35 + x*(-94 + x*(54 + x*(-94 + 35*x))))*
     HPL[{-1, -1, 0}, x])/3 + 
   (2*M^4*(1 + x)^2*(35 + x*(-94 + x*(54 + x*(-94 + 35*x))))*
     HPL[{-1, 0, 0}, x])/3 + 
   (8*M^4*(1 + x)^2*(35 + x*(-94 + x*(54 + x*(-94 + 35*x))))*
     HPL[{-1, 1, 0}, x])/3 - (2*M^4*x^2*(135 + 963*x^2 - 210*x^4 + 
      Pi^2*(11 + 13*x^2))*HPL[{0, 0, 0}, x])/3 + 
   (8*M^4*(-1 + x)^2*(35 + x*(94 + x*(54 + x*(94 + 35*x))))*
     HPL[{1, -1, 0}, x])/3 - 
   (2*M^4*(-1 + x)^2*(35 + x*(94 + x*(54 + x*(94 + 35*x))))*
     HPL[{1, 0, 0}, x])/3 - 
   (4*M^4*(-1 + x)^2*(35 + x*(94 + x*(54 + x*(94 + 35*x))))*
     HPL[{1, 1, 0}, x])/3 - 48*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{1, 2, 0}, x] + 
   32*M^4*x^2*(7 - 9*x^2 + 2*x^4)*HPL[{2, -1, 0}, x] - 
   8*M^4*x^2*(7 - 9*x^2 + 2*x^4)*HPL[{2, 0, 0}, x] - 
   16*M^4*x^2*(7 - 9*x^2 + 2*x^4)*HPL[{2, 1, 0}, x] + 
   192*M^4*x^2*(-1 + x^2)*HPL[{2, 2, 0}, x] + 128*M^4*x^2*(-1 + x^2)*
    HPL[{3, -1, 0}, x] - 32*M^4*x^2*(-1 + x^2)*HPL[{3, 0, 0}, x] - 
   64*M^4*x^2*(-1 + x^2)*HPL[{3, 1, 0}, x] - 128*M^4*x^2*(-1 + x^2)*
    HPL[{-2, -1, -1, 0}, x] + 64*M^4*x^2*(-1 + x^2)*HPL[{-2, -1, 0, 0}, x] + 
   256*M^4*x^2*(-1 + x^2)*HPL[{-2, -1, 1, 0}, x] + 
   160*M^4*x^2*(-1 + x^2)*HPL[{-2, 0, 0, 0}, x] + 
   512*M^4*x^2*(-1 + x^2)*HPL[{-2, 1, -1, 0}, x] - 
   128*M^4*x^2*(-1 + x^2)*HPL[{-2, 1, 0, 0}, x] - 
   256*M^4*x^2*(-1 + x^2)*HPL[{-2, 1, 1, 0}, x] + 
   32*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{-1, -1, -1, 0}, x] - 
   16*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{-1, -1, 0, 0}, x] - 
   64*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{-1, -1, 1, 0}, x] - 
   40*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{-1, 0, 0, 0}, x] - 
   128*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{-1, 1, -1, 0}, x] + 
   32*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{-1, 1, 0, 0}, x] + 
   64*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{-1, 1, 1, 0}, x] - 
   56*M^4*x^2*(-1 - 17*x^2 + 2*x^4)*HPL[{0, 0, 0, 0}, x] - 
   64*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{1, -1, -1, 0}, x] + 
   32*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{1, -1, 0, 0}, x] + 
   128*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{1, -1, 1, 0}, x] + 
   40*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{1, 0, 0, 0}, x] + 
   64*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{1, 1, -1, 0}, x] - 
   16*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{1, 1, 0, 0}, x] - 
   32*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{1, 1, 1, 0}, x] + 
   256*M^4*x^2*(-1 + x^2)*HPL[{2, -1, -1, 0}, x] - 
   128*M^4*x^2*(-1 + x^2)*HPL[{2, -1, 0, 0}, x] - 
   512*M^4*x^2*(-1 + x^2)*HPL[{2, -1, 1, 0}, x] - 
   160*M^4*x^2*(-1 + x^2)*HPL[{2, 0, 0, 0}, x] - 
   256*M^4*x^2*(-1 + x^2)*HPL[{2, 1, -1, 0}, x] + 
   64*M^4*x^2*(-1 + x^2)*HPL[{2, 1, 0, 0}, x] + 128*M^4*x^2*(-1 + x^2)*
    HPL[{2, 1, 1, 0}, x] - 32*M^4*x^2*(1 + 31*x^2)*HPL[{0, 0, 0, 0, 0}, x] + 
   8*M^4*x^2*(-1 + x^2)*HPL[{-2}, x]*(Pi^2*(-7 + 2*x^2 + 16*Log[2]) - 
     20*Zeta[3]) - 8*M^4*(-1 + x^2)^2*(1 + x^2)*HPL[{1}, x]*
    (Pi^2*Log[16] + 5*Zeta[3]) + 32*M^4*x^2*(-1 + x^2)*HPL[{2}, x]*
    (Pi^2*Log[16] + 5*Zeta[3]) + 
   (M^4*x^2*HPL[{0, 0}, x]*(1023 - 1118*x^4 + 3*Pi^2*(77 - 3*x^2 + 10*x^4) + 
      x^2*(6459 - 792*Zeta[3]) + 504*Zeta[3]))/18 - 
   (2*M^4*HPL[{-1}, x]*
     (Pi^2*(-((1 + x)^2*(35 + x*(-94 + x*(54 + x*(-94 + 35*x))))) + 
        48*(-1 + x^2)^2*(1 + x^2)*Log[2]) - 60*(-1 + x^2)^2*(1 + x^2)*
       Zeta[3]))/3 - (M^4*x*HPL[{0}, x]*(Pi^4*x*(1321 - 1207*x^2) - 
      155470*x*(1 + x^2) + 10*Pi^2*(-1728 + 
        x*(501 + x*(-5760 + x*(-1707 + 16*x*(-108 + 35*x))))) + 
      720*x*(49 - 79*x^2 + 16*x^4)*Zeta[3]))/720 - 
   (M^2*(-77760*x^2*(-1 + x^2)*K[47002, 2] + 
      M^2*(27*Pi^4*(2627 - 9373*x^2 + 1051*x^4 + 5296*x^6) + 
        70*(-78863 + 33480*Zeta[3]) + 90*Pi^2*
         (5031 + x*(-576*(-71 + 96*Log[2]) + x*(-30753 - 53955*x^2 + 
              8*x^3*(5112 + 559*x - 6912*Log[2]) - 1920*x*(-71 + 96*Log[2]) + 
              216*(-46 + 47*x^2)*Zeta[3]))) + 54*x^2*(-436415 + 14315*x^2 + 
          120*(-977 - 1567*x^2 + 560*x^4)*Zeta[3] + 864*(-346 + 347*x^2)*
           Zeta[5]))))/77760, MI[p4n8a, -3][x] -> (-2*M^2*x^2)/3, 
 MI[p4n8a, -2][x] -> M^2*(1/4 - (5*x^2)/3) + 2*M^2*x^2*HPL[{0}, x], 
 MI[p4n8a, -1][x] -> (M^2*(27 - 4*(16 + Pi^2)*x^2))/24 + 
   4*M^2*x^2*HPL[{0}, x] - 4*M^2*x^2*HPL[{0, 0}, x], 
 MI[p4n8a, 0][x] -> (M^2*x^2*(-6 + Pi^2*(11 - 4*x^2))*HPL[{0}, x])/6 + 
   4*M^2*x^2*(-2 + x^2)*HPL[{-2, 0}, x] - M^2*(3 - 4*x^2 + x^4)*
    HPL[{-1, 0}, x] + 2*M^2*x^2*(-4 + x^2)*HPL[{0, 0}, x] + 
   M^2*(3 - 4*x^2 + x^4)*HPL[{1, 0}, x] - 4*M^2*x^2*(-2 + x^2)*
    HPL[{2, 0}, x] - 8*M^2*x^2*(-1 + x^2)*HPL[{0, 0, 0}, x] + 
   (M^2*(93 + Pi^2*(27 - 52*x^2 + 8*x^4) + 40*x^2*(-5 + 4*Zeta[3])))/48, 
 MI[p4n8a, 1][x] -> 8*M^2*Pi^2*x^2*(-2 + x^2)*HPL[{-2}, x] - 
   2*M^2*Pi^2*(3 - 4*x^2 + x^4)*HPL[{-1}, x] - 8*M^2*x^2*(-2 + x^2)*
    HPL[{-3, 0}, x] + 2*M^2*x^2*(-8 + 3*x^2)*HPL[{-2, 0}, x] + 
   (M^2*(1 + x)*(-27 + x*(51 + x*(33 + 7*x)))*HPL[{-1, 0}, x])/2 + 
   (M^2*x^2*(-30 - 11*Pi^2 + (-21 + 4*Pi^2)*x^2)*HPL[{0, 0}, x])/3 - 
   (M^2*(-1 + x)*(27 + x*(51 + x*(-33 + 7*x)))*HPL[{1, 0}, x])/2 + 
   2*M^2*x^2*(8 - 3*x^2)*HPL[{2, 0}, x] + 8*M^2*x^2*(-2 + x^2)*
    HPL[{3, 0}, x] - 16*M^2*x^2*(-2 + x^2)*HPL[{-2, -1, 0}, x] + 
   8*M^2*x^2*(-2 + x^2)*HPL[{-2, 0, 0}, x] + 32*M^2*x^2*(-2 + x^2)*
    HPL[{-2, 1, 0}, x] + 4*M^2*(3 - 4*x^2 + x^4)*HPL[{-1, -1, 0}, x] - 
   2*M^2*(3 - 4*x^2 + x^4)*HPL[{-1, 0, 0}, x] - 8*M^2*(3 - 4*x^2 + x^4)*
    HPL[{-1, 1, 0}, x] + 16*M^2*x^2*(1 - 2*x^2)*HPL[{0, 0, 0}, x] - 
   8*M^2*(3 - 4*x^2 + x^4)*HPL[{1, -1, 0}, x] + 2*M^2*(3 - 4*x^2 + x^4)*
    HPL[{1, 0, 0}, x] + 4*M^2*(3 - 4*x^2 + x^4)*HPL[{1, 1, 0}, x] + 
   32*M^2*x^2*(-2 + x^2)*HPL[{2, -1, 0}, x] - 8*M^2*x^2*(-2 + x^2)*
    HPL[{2, 0, 0}, x] - 16*M^2*x^2*(-2 + x^2)*HPL[{2, 1, 0}, x] + 
   16*M^2*x^2*(-1 + 6*x^2)*HPL[{0, 0, 0, 0}, x] - 
   (M^2*x^2*HPL[{0}, x]*(255 + Pi^2*(-22 + 6*x^2) + 12*(-7 + 8*x^2)*Zeta[3]))/
    6 + (M^2*(2*Pi^4*x^2*(653 - 384*x^2) - 
      15*Pi^2*(-243 + 8*x*(-72 + x*(92 + x*(-120 + 7*x)))) + 
      15*(-801 - 1864*x^2 + 8*(93 - 44*x^2 + 48*x^4)*Zeta[3])))/1440, 
 MI[p4n8a, 2][x] -> -16*M^2*Pi^2*x^2*(-2 + x^2)*HPL[{-3}, x] + 
   16*M^2*x^2*(-2 + x^2)*HPL[{-4, 0}, x] + 4*M^2*x^2*(8 - 3*x^2)*
    HPL[{-3, 0}, x] - 32*M^2*Pi^2*x^2*(-2 + x^2)*HPL[{-2, -1}, x] + 
   M^2*x*(-72 + x*(28 + 5*x*(-24 + 5*x) - 15*Pi^2*(-2 + x^2)))*
    HPL[{-2, 0}, x] + 8*M^2*Pi^2*(3 - 4*x^2 + x^4)*HPL[{-1, -1}, x] + 
   (M^2*(15*Pi^2*(3 - 4*x^2 + x^4) + 
      (1 + x)*(-93 + x*(597 + 5*x*(107 + 61*x))))*HPL[{-1, 0}, x])/4 - 
   16*M^2*Pi^2*(3 - 4*x^2 + x^4)*HPL[{1, -1}, x] + 
   (M^2*(33*Pi^2*(3 - 4*x^2 + x^4) - (-1 + x)*
       (93 + x*(597 + 5*x*(-107 + 61*x))))*HPL[{1, 0}, x])/4 + 
   64*M^2*Pi^2*x^2*(-2 + x^2)*HPL[{2, -1}, x] - 
   M^2*x*(72 + x*(28 + 5*x*(24 + 5*x) + 33*Pi^2*(-2 + x^2)))*HPL[{2, 0}, x] + 
   4*M^2*x^2*(-8 + 3*x^2)*HPL[{3, 0}, x] - 16*M^2*x^2*(-2 + x^2)*
    HPL[{4, 0}, x] + 32*M^2*x^2*(-2 + x^2)*HPL[{-3, -1, 0}, x] - 
   16*M^2*x^2*(-2 + x^2)*HPL[{-3, 0, 0}, x] - 64*M^2*x^2*(-2 + x^2)*
    HPL[{-3, 1, 0}, x] - 96*M^2*x^2*(-2 + x^2)*HPL[{-2, -2, 0}, x] + 
   8*M^2*x^2*(8 - 3*x^2)*HPL[{-2, -1, 0}, x] + 4*M^2*x^2*(-8 + 3*x^2)*
    HPL[{-2, 0, 0}, x] + 16*M^2*x^2*(-8 + 3*x^2)*HPL[{-2, 1, 0}, x] + 
   24*M^2*(3 - 4*x^2 + x^4)*HPL[{-1, -2, 0}, x] - 
   2*M^2*(1 + x)*(-27 + x*(51 + x*(33 + 7*x)))*HPL[{-1, -1, 0}, x] + 
   M^2*(1 + x)*(-27 + x*(51 + x*(33 + 7*x)))*HPL[{-1, 0, 0}, x] + 
   4*M^2*(1 + x)*(-27 + x*(51 + x*(33 + 7*x)))*HPL[{-1, 1, 0}, x] + 
   (2*M^2*x^2*(Pi^2*(11 - 7*x^2) + 6*(17 + 5*x^2))*HPL[{0, 0, 0}, x])/3 + 
   4*M^2*(-1 + x)*(27 + x*(51 + x*(-33 + 7*x)))*HPL[{1, -1, 0}, x] - 
   M^2*(-1 + x)*(27 + x*(51 + x*(-33 + 7*x)))*HPL[{1, 0, 0}, x] - 
   2*M^2*(-1 + x)*(27 + x*(51 + x*(-33 + 7*x)))*HPL[{1, 1, 0}, x] + 
   24*M^2*(3 - 4*x^2 + x^4)*HPL[{1, 2, 0}, x] + 16*M^2*x^2*(-8 + 3*x^2)*
    HPL[{2, -1, 0}, x] + 4*M^2*x^2*(8 - 3*x^2)*HPL[{2, 0, 0}, x] + 
   8*M^2*x^2*(8 - 3*x^2)*HPL[{2, 1, 0}, x] - 96*M^2*x^2*(-2 + x^2)*
    HPL[{2, 2, 0}, x] - 64*M^2*x^2*(-2 + x^2)*HPL[{3, -1, 0}, x] + 
   16*M^2*x^2*(-2 + x^2)*HPL[{3, 0, 0}, x] + 32*M^2*x^2*(-2 + x^2)*
    HPL[{3, 1, 0}, x] + 64*M^2*x^2*(-2 + x^2)*HPL[{-2, -1, -1, 0}, x] - 
   32*M^2*x^2*(-2 + x^2)*HPL[{-2, -1, 0, 0}, x] - 
   128*M^2*x^2*(-2 + x^2)*HPL[{-2, -1, 1, 0}, x] - 
   80*M^2*x^2*(-2 + x^2)*HPL[{-2, 0, 0, 0}, x] - 
   256*M^2*x^2*(-2 + x^2)*HPL[{-2, 1, -1, 0}, x] + 
   64*M^2*x^2*(-2 + x^2)*HPL[{-2, 1, 0, 0}, x] + 
   128*M^2*x^2*(-2 + x^2)*HPL[{-2, 1, 1, 0}, x] - 
   16*M^2*(3 - 4*x^2 + x^4)*HPL[{-1, -1, -1, 0}, x] + 
   8*M^2*(3 - 4*x^2 + x^4)*HPL[{-1, -1, 0, 0}, x] + 
   32*M^2*(3 - 4*x^2 + x^4)*HPL[{-1, -1, 1, 0}, x] + 
   20*M^2*(3 - 4*x^2 + x^4)*HPL[{-1, 0, 0, 0}, x] + 
   64*M^2*(3 - 4*x^2 + x^4)*HPL[{-1, 1, -1, 0}, x] - 
   16*M^2*(3 - 4*x^2 + x^4)*HPL[{-1, 1, 0, 0}, x] - 
   32*M^2*(3 - 4*x^2 + x^4)*HPL[{-1, 1, 1, 0}, x] + 
   8*M^2*x^2*(-4 + 37*x^2)*HPL[{0, 0, 0, 0}, x] + 
   32*M^2*(3 - 4*x^2 + x^4)*HPL[{1, -1, -1, 0}, x] - 
   16*M^2*(3 - 4*x^2 + x^4)*HPL[{1, -1, 0, 0}, x] - 
   64*M^2*(3 - 4*x^2 + x^4)*HPL[{1, -1, 1, 0}, x] - 
   20*M^2*(3 - 4*x^2 + x^4)*HPL[{1, 0, 0, 0}, x] - 
   32*M^2*(3 - 4*x^2 + x^4)*HPL[{1, 1, -1, 0}, x] + 
   8*M^2*(3 - 4*x^2 + x^4)*HPL[{1, 1, 0, 0}, x] + 
   16*M^2*(3 - 4*x^2 + x^4)*HPL[{1, 1, 1, 0}, x] - 
   128*M^2*x^2*(-2 + x^2)*HPL[{2, -1, -1, 0}, x] + 
   64*M^2*x^2*(-2 + x^2)*HPL[{2, -1, 0, 0}, x] + 
   256*M^2*x^2*(-2 + x^2)*HPL[{2, -1, 1, 0}, x] + 
   80*M^2*x^2*(-2 + x^2)*HPL[{2, 0, 0, 0}, x] + 128*M^2*x^2*(-2 + x^2)*
    HPL[{2, 1, -1, 0}, x] - 32*M^2*x^2*(-2 + x^2)*HPL[{2, 1, 0, 0}, x] - 
   64*M^2*x^2*(-2 + x^2)*HPL[{2, 1, 1, 0}, x] + 32*M^2*x^2*(1 - 25*x^2)*
    HPL[{0, 0, 0, 0, 0}, x] + 4*M^2*(3 - 4*x^2 + x^4)*HPL[{1}, x]*
    (Pi^2*Log[16] + 5*Zeta[3]) - 16*M^2*x^2*(-2 + x^2)*HPL[{2}, x]*
    (Pi^2*Log[16] + 5*Zeta[3]) + M^2*(1 + x)*HPL[{-1}, x]*
    (Pi^2*(-27 + 51*x + 33*x^2 + 7*x^3 + 16*(-1 + x)*(-3 + x^2)*Log[2]) - 
     20*(-1 + x)*(-3 + x^2)*Zeta[3]) - 4*M^2*x^2*HPL[{-2}, x]*
    (Pi^2*(8 - 3*x^2 + 16*(-2 + x^2)*Log[2]) - 20*(-2 + x^2)*Zeta[3]) + 
   (M^2*x^2*HPL[{0, 0}, x]*(-246 - 915*x^2 + Pi^2*(-44 + 15*x^2) + 
      24*(-7 + 16*x^2)*Zeta[3]))/6 - 
   (M^2*x*HPL[{0}, x]*(Pi^4*x*(-1321 + 344*x^2) + 
      60*Pi^2*(432 + x*(59 + 10*x*(72 + 5*x))) + 
      180*x*(907 + 16*(-7 + 8*x^2)*Zeta[3])))/720 + 
   (-2880*x^2*(-2 + x^2)*K[47002, 2] + 
     M^2*(Pi^4*(7881 - 31836*x^2 + 13504*x^4) + 
       30*Pi^2*(837 + 8*x*(72*(21 - 32*Log[2]) + x*(-797 - 276*Zeta[3] + 
             x*(2520 - 485*x - 3840*Log[2] + 148*x*Zeta[3])))) + 
       6*(-98175 + 33480*Zeta[3] + 8*x^2*(-17675 - 400*(38 + 3*x^2)*Zeta[3] + 
           48*(-519 + 320*x^2)*Zeta[5]))))/5760, 
 MI[p4n8b, -3][x] -> (M^2 + 2*M^2*x^2)/6, MI[p4n8b, -2][x] -> 
  (M^2*(3 + 8*x^2))/6 - 2*M^2*x^2*HPL[{0}, x], 
 MI[p4n8b, -1][x] -> (M^2*(4 + 80*x^2 + Pi^2*(9 - 14*x^2 + 8*x^4)))/24 - 
   10*M^2*x^2*HPL[{0}, x] - 2*M^2*(-1 + x^2)^2*HPL[{-1, 0}, x] + 
   4*M^2*x^2*(1 + x^2)*HPL[{0, 0}, x] + 2*M^2*(-1 + x^2)^2*HPL[{1, 0}, x], 
 MI[p4n8b, 0][x] -> -4*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1}, x] + 
   (M^2*x^2*(-228 + Pi^2*(-11 + 8*x^2))*HPL[{0}, x])/6 - 
   8*M^2*x^2*(-1 + x^2)*HPL[{-2, 0}, x] - 2*M^2*(-3 + x)*(1 + x)^2*(-1 + 3*x)*
    HPL[{-1, 0}, x] + 12*M^2*x^2*(1 + x^2)*HPL[{0, 0}, x] + 
   2*M^2*(-1 + x)^2*(3 + x)*(1 + 3*x)*HPL[{1, 0}, x] + 
   8*M^2*x^2*(-1 + x^2)*HPL[{2, 0}, x] + 8*M^2*(-1 + x^2)^2*
    HPL[{-1, -1, 0}, x] - 4*M^2*(-1 + x^2)^2*HPL[{-1, 0, 0}, x] - 
   16*M^2*(-1 + x^2)^2*HPL[{-1, 1, 0}, x] - 8*M^2*x^2*(1 + 3*x^2)*
    HPL[{0, 0, 0}, x] - 16*M^2*(-1 + x^2)^2*HPL[{1, -1, 0}, x] + 
   4*M^2*(-1 + x^2)^2*HPL[{1, 0, 0}, x] + 8*M^2*(-1 + x^2)^2*
    HPL[{1, 1, 0}, x] + 
   (M^2*(20*(-9 + 4*x^2) + Pi^2*(27 + 8*x*(12 + x*(-13 + 3*x*(4 + x)))) + 
      4*(31 - 82*x^2 + 48*x^4)*Zeta[3]))/24, 
 MI[p4n8b, 1][x] -> -16*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{-2}, x] + 
   16*M^2*x^2*(-1 + x^2)*HPL[{-3, 0}, x] - 8*M^2*x*(3 + x)*(2 + 3*(-1 + x)*x)*
    HPL[{-2, 0}, x] + 16*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1, -1}, x] + 
   (M^2*(1 + x)^2*(15*Pi^2*(-1 + x)^2 - 4*(1 + (-38 + x)*x))*HPL[{-1, 0}, x])/
    2 + (M^2*x^2*(Pi^2*(11 - 5*x^2) + 12*(1 + x^2))*HPL[{0, 0}, x])/3 - 
   32*M^2*Pi^2*(-1 + x^2)^2*HPL[{1, -1}, x] + 
   (M^2*(-1 + x)^2*(33*Pi^2*(1 + x)^2 + 4*(1 + x*(38 + x)))*HPL[{1, 0}, x])/
    2 + 8*M^2*(-3 + x)*x*(2 + 3*x*(1 + x))*HPL[{2, 0}, x] - 
   16*M^2*x^2*(-1 + x^2)*HPL[{3, 0}, x] + 32*M^2*x^2*(-1 + x^2)*
    HPL[{-2, -1, 0}, x] - 16*M^2*x^2*(-1 + x^2)*HPL[{-2, 0, 0}, x] - 
   64*M^2*x^2*(-1 + x^2)*HPL[{-2, 1, 0}, x] + 48*M^2*(-1 + x^2)^2*
    HPL[{-1, -2, 0}, x] + 8*M^2*(-3 + x)*(1 + x)^2*(-1 + 3*x)*
    HPL[{-1, -1, 0}, x] - 4*M^2*(-3 + x)*(1 + x)^2*(-1 + 3*x)*
    HPL[{-1, 0, 0}, x] - 16*M^2*(-3 + x)*(1 + x)^2*(-1 + 3*x)*
    HPL[{-1, 1, 0}, x] + 8*M^2*x^2*(1 - 9*x^2)*HPL[{0, 0, 0}, x] - 
   16*M^2*(-1 + x)^2*(3 + x)*(1 + 3*x)*HPL[{1, -1, 0}, x] + 
   4*M^2*(-1 + x)^2*(3 + x)*(1 + 3*x)*HPL[{1, 0, 0}, x] + 
   8*M^2*(-1 + x)^2*(3 + x)*(1 + 3*x)*HPL[{1, 1, 0}, x] + 
   48*M^2*(-1 + x^2)^2*HPL[{1, 2, 0}, x] - 64*M^2*x^2*(-1 + x^2)*
    HPL[{2, -1, 0}, x] + 16*M^2*x^2*(-1 + x^2)*HPL[{2, 0, 0}, x] + 
   32*M^2*x^2*(-1 + x^2)*HPL[{2, 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, -1, 0, 0}, x] + 
   64*M^2*(-1 + x^2)^2*HPL[{-1, -1, 1, 0}, x] + 
   40*M^2*(-1 + x^2)^2*HPL[{-1, 0, 0, 0}, x] + 128*M^2*(-1 + x^2)^2*
    HPL[{-1, 1, -1, 0}, x] - 32*M^2*(-1 + x^2)^2*HPL[{-1, 1, 0, 0}, x] - 
   64*M^2*(-1 + x^2)^2*HPL[{-1, 1, 1, 0}, x] + 16*M^2*x^2*(1 + 7*x^2)*
    HPL[{0, 0, 0, 0}, x] + 64*M^2*(-1 + x^2)^2*HPL[{1, -1, -1, 0}, x] - 
   32*M^2*(-1 + x^2)^2*HPL[{1, -1, 0, 0}, x] - 128*M^2*(-1 + x^2)^2*
    HPL[{1, -1, 1, 0}, x] - 40*M^2*(-1 + x^2)^2*HPL[{1, 0, 0, 0}, x] - 
   64*M^2*(-1 + x^2)^2*HPL[{1, 1, -1, 0}, x] + 16*M^2*(-1 + x^2)^2*
    HPL[{1, 1, 0, 0}, x] + 32*M^2*(-1 + x^2)^2*HPL[{1, 1, 1, 0}, x] + 
   8*M^2*(-1 + x^2)^2*HPL[{1}, x]*(Pi^2*Log[16] + 5*Zeta[3]) + 
   4*M^2*(1 + x)^2*HPL[{-1}, x]*
    (Pi^2*(-3 + x*(10 - 8*Log[4] + x*(-3 + Log[256])) + Log[256]) - 
     10*(-1 + x)^2*Zeta[3]) + 
   (M^2*x*HPL[{0}, x]*(Pi^2*(-144 + x*(-71 + 24*(-6 + x)*x)) + 
      12*x*(-65 + (-7 + 8*x^2)*Zeta[3])))/6 + 
   (M^2*(Pi^4*(2627 - 7866*x^2 + 5296*x^4) + 
      120*Pi^2*(9 + 4*x*(x*(-143 + 2*x*(108 + x - 96*Log[4])) + 
          24*(9 - 8*Log[4]))) + 480*(-359 + 93*Zeta[3] + 
        4*x^2*(-37 + 2*(-71 + 18*x^2)*Zeta[3]))))/2880, 
 MI[p4n8b, 2][x] -> 32*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{-3}, x] - 
   32*M^2*x^2*(-1 + x^2)*HPL[{-4, 0}, x] + 
   16*M^2*x*(18 + x*(-7 + 3*x*(6 + x)))*HPL[{-3, 0}, x] + 
   64*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{-2, -1}, x] + 
   2*M^2*x*(-216 + x*(15*Pi^2*(-1 + x^2) - 4*(-37 + x*(54 + x))))*
    HPL[{-2, 0}, x] + 96*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1, -2}, x] - 
   128*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{2, -1}, x] + 
   2*M^2*x*(-216 + x*(4*(-37 + (-54 + x)*x) + 33*Pi^2*(-1 + x^2)))*
    HPL[{2, 0}, x] + 16*M^2*x*(18 + x*(7 - 3*(-6 + x)*x))*HPL[{3, 0}, x] + 
   32*M^2*x^2*(-1 + x^2)*HPL[{4, 0}, x] - 64*M^2*x^2*(-1 + x^2)*
    HPL[{-3, -1, 0}, x] + 32*M^2*x^2*(-1 + x^2)*HPL[{-3, 0, 0}, x] + 
   128*M^2*x^2*(-1 + x^2)*HPL[{-3, 1, 0}, x] + 192*M^2*x^2*(-1 + x^2)*
    HPL[{-2, -2, 0}, x] + 32*M^2*x*(3 + x)*(2 + 3*(-1 + x)*x)*
    HPL[{-2, -1, 0}, x] - 16*M^2*x*(3 + x)*(2 + 3*(-1 + x)*x)*
    HPL[{-2, 0, 0}, x] - 64*M^2*x*(3 + x)*(2 + 3*(-1 + x)*x)*
    HPL[{-2, 1, 0}, x] - 192*M^2*(-1 + x^2)^2*HPL[{-1, -3, 0}, x] + 
   48*M^2*(-3 + x)*(1 + x)^2*(-1 + 3*x)*HPL[{-1, -2, 0}, x] - 
   64*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1, -1, -1}, x] - 
   2*M^2*(1 + x)^2*(15*Pi^2*(-1 + x)^2 - 4*(1 + (-38 + x)*x))*
    HPL[{-1, -1, 0}, x] - M^2*(1 + x)^2*(65*Pi^2*(-1 + x)^2 + 
     4*(1 + (-38 + x)*x))*HPL[{-1, 0, 0}, x] + 256*M^2*Pi^2*(-1 + x^2)^2*
    HPL[{-1, 1, -1}, x] - 4*M^2*(1 + x)^2*(33*Pi^2*(-1 + x)^2 + 
     4*(1 + (-38 + x)*x))*HPL[{-1, 1, 0}, x] - 96*M^2*(-1 + x^2)^2*
    HPL[{-1, 3, 0}, x] - (2*M^2*x^2*(-420 + 36*x^2 + Pi^2*(11 + x^2))*
     HPL[{0, 0, 0}, x])/3 - 96*M^2*(-1 + x^2)^2*HPL[{1, -3, 0}, x] + 
   128*M^2*Pi^2*(-1 + x^2)^2*HPL[{1, -1, -1}, x] + 
   4*M^2*(-1 + x)^2*(15*Pi^2*(1 + x)^2 - 4*(1 + x*(38 + x)))*
    HPL[{1, -1, 0}, x] - M^2*(-1 + x)^2*(79*Pi^2*(1 + x)^2 - 
     4*(1 + x*(38 + x)))*HPL[{1, 0, 0}, x] - 128*M^2*Pi^2*(-1 + x^2)^2*
    HPL[{1, 1, -1}, x] + 2*M^2*(-1 + x)^2*(33*Pi^2*(1 + x)^2 + 
     4*(1 + x*(38 + x)))*HPL[{1, 1, 0}, x] + 48*M^2*(-1 + x)^2*(3 + x)*
    (1 + 3*x)*HPL[{1, 2, 0}, x] - 192*M^2*(-1 + x^2)^2*HPL[{1, 3, 0}, x] - 
   64*M^2*(-3 + x)*x*(2 + 3*x*(1 + x))*HPL[{2, -1, 0}, x] + 
   16*M^2*(-3 + x)*x*(2 + 3*x*(1 + x))*HPL[{2, 0, 0}, x] + 
   32*M^2*(-3 + x)*x*(2 + 3*x*(1 + x))*HPL[{2, 1, 0}, x] + 
   192*M^2*x^2*(-1 + x^2)*HPL[{2, 2, 0}, x] + 128*M^2*x^2*(-1 + x^2)*
    HPL[{3, -1, 0}, x] - 32*M^2*x^2*(-1 + x^2)*HPL[{3, 0, 0}, x] - 
   64*M^2*x^2*(-1 + x^2)*HPL[{3, 1, 0}, x] - 128*M^2*x^2*(-1 + x^2)*
    HPL[{-2, -1, -1, 0}, x] + 64*M^2*x^2*(-1 + x^2)*HPL[{-2, -1, 0, 0}, x] + 
   256*M^2*x^2*(-1 + x^2)*HPL[{-2, -1, 1, 0}, x] + 
   160*M^2*x^2*(-1 + x^2)*HPL[{-2, 0, 0, 0}, x] + 
   512*M^2*x^2*(-1 + x^2)*HPL[{-2, 1, -1, 0}, x] - 
   128*M^2*x^2*(-1 + x^2)*HPL[{-2, 1, 0, 0}, x] - 
   256*M^2*x^2*(-1 + x^2)*HPL[{-2, 1, 1, 0}, x] - 
   192*M^2*(-1 + x^2)^2*HPL[{-1, -2, -1, 0}, x] + 
   96*M^2*(-1 + x^2)^2*HPL[{-1, -2, 0, 0}, x] + 
   384*M^2*(-1 + x^2)^2*HPL[{-1, -2, 1, 0}, x] - 
   192*M^2*(-1 + x^2)^2*HPL[{-1, -1, -2, 0}, x] - 
   32*M^2*(-3 + x)*(1 + x)^2*(-1 + 3*x)*HPL[{-1, -1, -1, 0}, x] + 
   16*M^2*(-3 + x)*(1 + x)^2*(-1 + 3*x)*HPL[{-1, -1, 0, 0}, x] + 
   64*M^2*(-3 + x)*(1 + x)^2*(-1 + 3*x)*HPL[{-1, -1, 1, 0}, x] + 
   40*M^2*(-3 + x)*(1 + x)^2*(-1 + 3*x)*HPL[{-1, 0, 0, 0}, x] + 
   128*M^2*(-3 + x)*(1 + x)^2*(-1 + 3*x)*HPL[{-1, 1, -1, 0}, x] - 
   32*M^2*(-3 + x)*(1 + x)^2*(-1 + 3*x)*HPL[{-1, 1, 0, 0}, x] - 
   64*M^2*(-3 + x)*(1 + x)^2*(-1 + 3*x)*HPL[{-1, 1, 1, 0}, x] - 
   384*M^2*(-1 + x^2)^2*HPL[{-1, 1, 2, 0}, x] + 48*M^2*x^2*(-3 + 7*x^2)*
    HPL[{0, 0, 0, 0}, x] + 384*M^2*(-1 + x^2)^2*HPL[{1, -1, -2, 0}, x] + 
   64*M^2*(-1 + x)^2*(3 + x)*(1 + 3*x)*HPL[{1, -1, -1, 0}, x] - 
   32*M^2*(-1 + x)^2*(3 + x)*(1 + 3*x)*HPL[{1, -1, 0, 0}, x] - 
   128*M^2*(-1 + x)^2*(3 + x)*(1 + 3*x)*HPL[{1, -1, 1, 0}, x] - 
   40*M^2*(-1 + x)^2*(3 + x)*(1 + 3*x)*HPL[{1, 0, 0, 0}, x] - 
   64*M^2*(-1 + x)^2*(3 + x)*(1 + 3*x)*HPL[{1, 1, -1, 0}, x] + 
   16*M^2*(-1 + x)^2*(3 + x)*(1 + 3*x)*HPL[{1, 1, 0, 0}, x] + 
   32*M^2*(-1 + x)^2*(3 + x)*(1 + 3*x)*HPL[{1, 1, 1, 0}, x] + 
   192*M^2*(-1 + x^2)^2*HPL[{1, 1, 2, 0}, x] - 384*M^2*(-1 + x^2)^2*
    HPL[{1, 2, -1, 0}, x] + 96*M^2*(-1 + x^2)^2*HPL[{1, 2, 0, 0}, x] + 
   192*M^2*(-1 + x^2)^2*HPL[{1, 2, 1, 0}, x] + 256*M^2*x^2*(-1 + x^2)*
    HPL[{2, -1, -1, 0}, x] - 128*M^2*x^2*(-1 + x^2)*HPL[{2, -1, 0, 0}, x] - 
   512*M^2*x^2*(-1 + x^2)*HPL[{2, -1, 1, 0}, x] - 
   160*M^2*x^2*(-1 + x^2)*HPL[{2, 0, 0, 0}, x] - 
   256*M^2*x^2*(-1 + x^2)*HPL[{2, 1, -1, 0}, x] + 
   64*M^2*x^2*(-1 + x^2)*HPL[{2, 1, 0, 0}, x] + 128*M^2*x^2*(-1 + x^2)*
    HPL[{2, 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, -1, 0, 0}, x] - 
   256*M^2*(-1 + x^2)^2*HPL[{-1, -1, -1, 1, 0}, x] - 
   160*M^2*(-1 + x^2)^2*HPL[{-1, -1, 0, 0, 0}, x] - 
   512*M^2*(-1 + x^2)^2*HPL[{-1, -1, 1, -1, 0}, x] + 
   128*M^2*(-1 + x^2)^2*HPL[{-1, -1, 1, 0, 0}, x] + 
   256*M^2*(-1 + x^2)^2*HPL[{-1, -1, 1, 1, 0}, x] - 
   208*M^2*(-1 + x^2)^2*HPL[{-1, 0, 0, 0, 0}, x] - 
   512*M^2*(-1 + x^2)^2*HPL[{-1, 1, -1, -1, 0}, x] + 
   256*M^2*(-1 + x^2)^2*HPL[{-1, 1, -1, 0, 0}, x] + 
   1024*M^2*(-1 + x^2)^2*HPL[{-1, 1, -1, 1, 0}, x] + 
   320*M^2*(-1 + x^2)^2*HPL[{-1, 1, 0, 0, 0}, x] + 
   512*M^2*(-1 + x^2)^2*HPL[{-1, 1, 1, -1, 0}, x] - 
   128*M^2*(-1 + x^2)^2*HPL[{-1, 1, 1, 0, 0}, x] - 
   256*M^2*(-1 + x^2)^2*HPL[{-1, 1, 1, 1, 0}, x] - 
   32*M^2*x^2*(1 + 15*x^2)*HPL[{0, 0, 0, 0, 0}, x] - 
   256*M^2*(-1 + x^2)^2*HPL[{1, -1, -1, -1, 0}, x] + 
   128*M^2*(-1 + x^2)^2*HPL[{1, -1, -1, 0, 0}, x] + 
   512*M^2*(-1 + x^2)^2*HPL[{1, -1, -1, 1, 0}, x] + 
   320*M^2*(-1 + x^2)^2*HPL[{1, -1, 0, 0, 0}, x] + 
   1024*M^2*(-1 + x^2)^2*HPL[{1, -1, 1, -1, 0}, x] - 
   256*M^2*(-1 + x^2)^2*HPL[{1, -1, 1, 0, 0}, x] - 
   512*M^2*(-1 + x^2)^2*HPL[{1, -1, 1, 1, 0}, x] + 
   208*M^2*(-1 + x^2)^2*HPL[{1, 0, 0, 0, 0}, x] + 
   256*M^2*(-1 + x^2)^2*HPL[{1, 1, -1, -1, 0}, x] - 
   128*M^2*(-1 + x^2)^2*HPL[{1, 1, -1, 0, 0}, x] - 
   512*M^2*(-1 + x^2)^2*HPL[{1, 1, -1, 1, 0}, x] - 
   160*M^2*(-1 + x^2)^2*HPL[{1, 1, 0, 0, 0}, x] - 
   256*M^2*(-1 + x^2)^2*HPL[{1, 1, 1, -1, 0}, x] + 
   64*M^2*(-1 + x^2)^2*HPL[{1, 1, 1, 0, 0}, x] + 
   128*M^2*(-1 + x^2)^2*HPL[{1, 1, 1, 1, 0}, x] + 
   x^2*(-1 + x^2)*K[47002, 2] + 32*M^2*x^2*(-1 + x^2)*HPL[{2}, x]*
    (Pi^2*Log[16] + 5*Zeta[3]) - 64*M^2*(-1 + x^2)^2*HPL[{-1, 1}, x]*
    (Pi^2*Log[16] + 5*Zeta[3]) + 32*M^2*(-1 + x^2)^2*HPL[{1, 1}, x]*
    (Pi^2*Log[16] + 5*Zeta[3]) - 16*M^2*(1 + x)^2*HPL[{-1, -1}, x]*
    (Pi^2*(-3 + 10*x - 3*x^2 + 8*(-1 + x)^2*Log[2]) - 
     10*(-1 + x)^2*Zeta[3]) + 32*M^2*(-1 + x)^2*HPL[{1, -1}, x]*
    (Pi^2*(-3 - 10*x - 3*x^2 + 8*(1 + x)^2*Log[2]) - 10*(1 + x)^2*Zeta[3]) + 
   (M^2*(1 + x)^2*HPL[{-1}, x]*(-221*Pi^4*(-1 + x)^2 + 
      60*Pi^2*(-1 + 38*x - x^2 + 8*(-3 + x)*(-1 + 3*x)*Log[2] - 
        64*(-1 + x)^2*Log[2]^2) - 600*(-3 + x)*(-1 + 3*x)*Zeta[3]))/15 + 
   (2*M^2*(-1 + x)^2*HPL[{1}, x]*(13*Pi^4*(1 + x)^2 + 
      240*Pi^2*Log[2]*(3 + 10*x + 3*x^2 - 8*(1 + x)^2*Log[2]) + 
      300*(3 + x)*(1 + 3*x)*Zeta[3]))/15 + 16*M^2*x*HPL[{-2}, x]*
    (Pi^2*(-6 + x*(7 - 8*Log[2] + x*(-6 + x*(-3 + Log[256])))) - 
     10*x*(-1 + x^2)*Zeta[3]) + 
   (M^2*HPL[{-1, 0}, x]*(5*(1 + x)^2*(3*Pi^2*(-3 + x)*(-1 + 3*x) + 
        4*(9 + x*(26 + 9*x))) - 192*Pi^2*(-1 + x^2)^2*Log[4] - 
      92*(-1 + x^2)^2*Zeta[3]))/2 + 
   (M^2*HPL[{1, 0}, x]*((-1 + x)^2*(33*Pi^2*(3 + x)*(1 + 3*x) - 
        20*(9 + x*(-26 + 9*x))) - 192*Pi^2*(-1 + x^2)^2*Log[4] + 
      92*(-1 + x^2)^2*Zeta[3]))/2 + 
   (M^2*x*HPL[{0}, x]*(Pi^4*x*(-1321 + 1264*x^2) + 
      120*Pi^2*(144*(-9 + 8*Log[4]) + 
        x*(-353 + 8*x*(x + 18*(-9 + 8*Log[4])))) + 
      1440*x*(-211 + 3*(-17 + 8*x^2)*Zeta[3])))/720 + 
   (M^2*x*HPL[{0, 0}, x]*(Pi^2*(432 + x*(65 + 3*(144 - 5*x)*x)) - 
      12*x*(45 - 7*Zeta[3] + 9*x^2*(5 + Zeta[3]))))/3 + 
   (M^2*(Pi^4*(2627 + 8*x*(1560 + x*(-1637 + 1560*x))) + 
      40*Pi^2*(96*x*(55 + 16*Log[2]*(-9 + Log[256])) + 
        96*x^3*(55 + 16*Log[2]*(-9 + Log[256])) + 9*(-45 + 31*Zeta[3]) - 
        2*x^2*(1570 + 141*Zeta[3])) - 32*(10185 - 155*Zeta[3] - 
        6237*Zeta[5] + 2*x^2*(3430 + 7330*Zeta[3] + 3123*Zeta[5]))))/960, 
 MI[p5n1, -3][x] -> -(M^2*(1 + x^2))/3, MI[p5n1, -2][x] -> 
  (-2*M^2*(2 + 3*x^2))/3 + 2*M^2*x^2*HPL[{0}, x], 
 MI[p5n1, -1][x] -> -(M^2*(16 + 88*x^2 + Pi^2*(9 - 7*x^2 + 4*x^4)))/12 + 
   14*M^2*x^2*HPL[{0}, x] + 2*M^2*(-1 + x^2)^2*HPL[{-1, 0}, x] - 
   4*M^2*x^2*(1 + x^2)*HPL[{0, 0}, x] - 2*M^2*(-1 + x^2)^2*HPL[{1, 0}, x], 
 MI[p5n1, 0][x] -> (11*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1}, x])/3 + 
   (M^2*x^2*(396 + Pi^2*(11 - 4*x^2))*HPL[{0}, x])/6 + 
   (M^2*Pi^2*(-1 + x^2)^2*HPL[{1}, x])/3 + 8*M^2*(1 + x)^2*(1 + (-3 + x)*x)*
    HPL[{-1, 0}, x] - 8*M^2*x^2*(3 + 2*x^2)*HPL[{0, 0}, x] - 
   8*M^2*(-1 + x)^2*(1 + x*(3 + x))*HPL[{1, 0}, x] - 
   4*M^2*(-1 + x^2)^2*HPL[{-1, -1, 0}, x] + 12*M^2*(-1 + x^2)^2*
    HPL[{-1, 1, 0}, x] + 8*M^2*x^2*(1 + 4*x^2)*HPL[{0, 0, 0}, x] + 
   12*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*(-96 + Pi^2*(18 + x*(24 + x*(-31 + 8*x*(3 + x)))) + 74*Zeta[3] + 
      2*x^2*(54 + (-53 + 30*x^2)*Zeta[3])))/6, 
 MI[p5n1, 1][x] -> 48*M^2*x*(1 + x^2)*HPL[{-2, 0}, x] - 
   (22*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1, -1}, x])/3 - 
   (M^2*(1 + x)^2*(19*Pi^2*(-1 + x)^2 - 16*(1 + (-12 + x)*x))*
     HPL[{-1, 0}, x])/2 - 2*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1, 1}, x] + 
   ((-11*M^2*(24 + Pi^2)*x^2 + M^2*(-48 + Pi^2)*x^4)*HPL[{0, 0}, x])/3 + 
   22*M^2*Pi^2*(-1 + x^2)^2*HPL[{1, -1}, x] - 
   (M^2*(-1 + x)^2*(29*Pi^2*(1 + x)^2 + 16*(1 + x*(12 + x)))*HPL[{1, 0}, x])/
    2 + (2*M^2*Pi^2*(-1 + x^2)^2*HPL[{1, 1}, x])/3 + 
   48*M^2*x*(1 + x^2)*HPL[{2, 0}, x] - 24*M^2*(-1 + x^2)^2*
    HPL[{-1, -2, 0}, x] - 16*M^2*(1 + x)^2*(1 + (-3 + x)*x)*
    HPL[{-1, -1, 0}, x] + 48*M^2*(1 + x)^2*(1 + (-3 + x)*x)*
    HPL[{-1, 1, 0}, x] - 24*M^2*(-1 + x^2)^2*HPL[{-1, 2, 0}, x] + 
   8*M^2*x^2*(3 + 16*x^2)*HPL[{0, 0, 0}, x] - 24*M^2*(-1 + x^2)^2*
    HPL[{1, -2, 0}, x] + 48*M^2*(-1 + x)^2*(1 + x*(3 + x))*
    HPL[{1, -1, 0}, x] - 16*M^2*(-1 + x)^2*(1 + x*(3 + x))*
    HPL[{1, 1, 0}, x] - 24*M^2*(-1 + x^2)^2*HPL[{1, 2, 0}, x] + 
   8*M^2*(-1 + x^2)^2*HPL[{-1, -1, -1, 0}, x] - 
   24*M^2*(-1 + x^2)^2*HPL[{-1, -1, 1, 0}, x] - 
   24*M^2*(-1 + x^2)^2*HPL[{-1, 0, 0, 0}, x] - 72*M^2*(-1 + x^2)^2*
    HPL[{-1, 1, -1, 0}, x] + 24*M^2*(-1 + x^2)^2*HPL[{-1, 1, 1, 0}, x] - 
   16*M^2*x^2*(1 + 13*x^2)*HPL[{0, 0, 0, 0}, x] - 
   24*M^2*(-1 + x^2)^2*HPL[{1, -1, -1, 0}, x] + 
   72*M^2*(-1 + x^2)^2*HPL[{1, -1, 1, 0}, x] + 24*M^2*(-1 + x^2)^2*
    HPL[{1, 0, 0, 0}, x] + 24*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] + 
   (4*M^2*HPL[{1}, x]*(Pi^2*((-1 + x)^2*(1 + x*(3 + x)) - 
        18*(-1 + x^2)^2*Log[2]) - 30*(-1 + x^2)^2*Zeta[3]))/3 + 
   (2*M^2*HPL[{-1}, x]*(Pi^2*(22*(1 + x)^2*(1 + (-3 + x)*x) - 
        9*(-1 + x^2)^2*Log[16]) + 60*(-1 + x^2)^2*Zeta[3]))/3 + 
   (M^2*x*HPL[{0}, x]*(Pi^2*(144 + x*(81 - 16*(-9 + x)*x)) + 
      12*x*(131 + 7*Zeta[3])))/6 + 
   (M^2*(Pi^4*(-2675 + 4029*x^2 - 1928*x^4) - 
      240*Pi^2*(18 + x*(x*(-187 + 8*x*(30 + x - 6*Log[64])) - 
          48*(-5 + Log[64]))) - 960*(-216 + 17*x^2 + (74 - 219*x^2 + 60*x^4)*
         Zeta[3])))/1440, MI[p5n1a, -3][x] -> 1/3, MI[p5n1a, -2][x] -> 2/3, 
 MI[p5n1a, -1][x] -> (-16 - Pi^2*(-9 + 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], MI[p5n1a, 0][x] -> 
  -56/3 - (Pi^2*(-3 + 4*(-2 + x)*x))/2 + (11*Pi^2*(-1 + x^2)*HPL[{-1}, x])/
    3 - (2*Pi^2*x^2*HPL[{0}, x])/3 + (Pi^2*(-1 + x^2)*HPL[{1}, x])/3 + 
   4*(1 + x)*(-1 + 3*x)*HPL[{-1, 0}, x] - 24*x^2*HPL[{0, 0}, x] - 
   4*(-1 + x)*(1 + 3*x)*HPL[{1, 0}, x] - 4*(-1 + x^2)*HPL[{-1, -1, 0}, x] + 
   12*(-1 + x^2)*HPL[{-1, 1, 0}, x] + 32*x^2*HPL[{0, 0, 0}, x] + 
   12*(-1 + x^2)*HPL[{1, -1, 0}, x] - 4*(-1 + x^2)*HPL[{1, 1, 0}, x] - 
   (-37/3 + 10*x^2)*Zeta[3], MI[p5n1a, 1][x] -> 
  -112 - (Pi^4*(-2675 + 1928*x^2))/1440 - 4*Pi^2*x*(6 + x)*HPL[{0}, x] - 
   48*x*HPL[{-2, 0}, x] - (22*Pi^2*(-1 + x^2)*HPL[{-1, -1}, x])/3 - 
   ((1 + x)*(19*Pi^2*(-1 + x) - 16*(1 + 7*x))*HPL[{-1, 0}, x])/2 - 
   2*Pi^2*(-1 + x^2)*HPL[{-1, 1}, x] + ((-336 + Pi^2)*x^2*HPL[{0, 0}, x])/3 + 
   22*Pi^2*(-1 + x^2)*HPL[{1, -1}, x] - 
   ((-1 + x)*(29*Pi^2*(1 + x) + 16*(-1 + 7*x))*HPL[{1, 0}, x])/2 + 
   (2*Pi^2*(-1 + x^2)*HPL[{1, 1}, x])/3 - 48*x*HPL[{2, 0}, x] - 
   24*(-1 + x^2)*HPL[{-1, -2, 0}, x] - 8*(1 + x)*(-1 + 3*x)*
    HPL[{-1, -1, 0}, x] + 24*(1 + x)*(-1 + 3*x)*HPL[{-1, 1, 0}, x] - 
   24*(-1 + x^2)*HPL[{-1, 2, 0}, x] + 192*x^2*HPL[{0, 0, 0}, x] - 
   24*(-1 + x^2)*HPL[{1, -2, 0}, x] + 24*(-1 + x)*(1 + 3*x)*
    HPL[{1, -1, 0}, x] - 8*(-1 + x)*(1 + 3*x)*HPL[{1, 1, 0}, x] - 
   24*(-1 + x^2)*HPL[{1, 2, 0}, x] - (8 - 8*x^2)*HPL[{-1, -1, -1, 0}, x] - 
   24*(-1 + x^2)*HPL[{-1, -1, 1, 0}, x] - 
   24*(-1 + x^2)*HPL[{-1, 0, 0, 0}, x] - 72*(-1 + x^2)*
    HPL[{-1, 1, -1, 0}, x] + 24*(-1 + x^2)*HPL[{-1, 1, 1, 0}, x] - 
   208*x^2*HPL[{0, 0, 0, 0}, x] - 24*(-1 + x^2)*HPL[{1, -1, -1, 0}, x] + 
   72*(-1 + x^2)*HPL[{1, -1, 1, 0}, x] + 24*(-1 + x^2)*HPL[{1, 0, 0, 0}, x] + 
   24*(-1 + x^2)*HPL[{1, 1, -1, 0}, x] - 8*(-1 + x^2)*HPL[{1, 1, 1, 0}, x] - 
   Pi^2*(3 + (28*x^2)/3 + 8*x*(-4 + Log[64])) - (-74/3 + 60*x^2)*Zeta[3] - 
   (2*(1 + x)*HPL[{-1}, x]*(Pi^2*(11 - 9*Log[16] + x*(-33 + 9*Log[16])) - 
      60*(-1 + x)*Zeta[3]))/3 - (2*(-1 + x)*HPL[{1}, x]*
     (Pi^2*(-1 - 3*x + 36*(1 + x)*Log[2]) + 60*(1 + x)*Zeta[3]))/3, 
 MI[p5n2, -3][x] -> -(M^2*(1 + 2*x^2))/3, MI[p5n2, -2][x] -> 
  (4*M^2*(-1 - 3*x^2 + 3*x^2*HPL[{0}, x]))/3, 
 MI[p5n2, -1][x] -> -(M^2*(16 + 176*x^2 + Pi^2*(9 - 14*x^2 + 8*x^4)))/12 + 
   3*M^2*(1 - 4*x^2)*HPL[{-2}, x] + 28*M^2*x^2*HPL[{0}, x] + 
   3*M^2*(-1 + 4*x^2)*HPL[{2}, x/(1 + x)] + 3*M^2*(-1 + 4*x^2)*
    HPL[{-1, -1}, x] + 4*M^2*(-1 + x^2)^2*HPL[{-1, 0}, x] - 
   8*M^2*x^2*(1 + x^2)*HPL[{0, 0}, x] - 4*M^2*(-1 + x^2)^2*HPL[{1, 0}, x], 
 MI[p5n2a, -3][x] -> 1/3, MI[p5n2a, -2][x] -> 2/3, 
 MI[p5n2a, -1][x] -> (-16 - Pi^2*(-9 + 8*x^2))/12 - 
   (3 - 6*x^2)*HPL[{-2}, x] - (-3 + 6*x^2)*HPL[{2}, x/(1 + x)] - 
   (-3 + 6*x^2)*HPL[{-1, -1}, x] - (4 - 4*x^2)*HPL[{-1, 0}, x] - 
   8*x^2*HPL[{0, 0}, x] - 4*(-1 + x^2)*HPL[{1, 0}, x], 
 MI[p5n2, 0][x] -> -M^2*(-16 + Pi^2*(3 + 4*x - 9*x^2 + 4*x^3 + (14*x^4)/3) -
   4*Pi^2*(-1 + x^2)^2*HPL[{-1}, x] -
   (x^2*(396 + Pi^2*(11 + 4*x^2))*HPL[{0}, x])/3 +
   8*x^2*(2 + x^2)*HPL[{-2, 0}, x] + (-16 + 8*x + 60*x^2 + 8*x^3 - 28*x^4)*
    HPL[{-1, 0}, x] + 8*x^2*(8 + 7*x^2)*HPL[{0, 0}, x] +
   4*(4 + 2*x - 15*x^2 + 2*x^3 + 7*x^4)*HPL[{1, 0}, x] -
   8*x^2*(2 + x^2)*HPL[{2, 0}, x] + 8*(-1 + x^2)^2*HPL[{-1, -1, 0}, x] +
   16*(-1 + x^2)^2*HPL[{-1, 0, 0}, x] - 16*(-1 + x^2)^2*HPL[{-1, 1, 0}, x] -
   16*(x^2 + 6*x^4)*HPL[{0, 0, 0}, x] - 16*(-1 + x^2)^2*HPL[{1, -1, 0}, x] -
   16*(-1 + x^2)^2*HPL[{1, 0, 0}, x] + 8*(-1 + x^2)^2*HPL[{1, 1, 0}, x] +
   x^2*(36 - (106*Zeta[3])/3) + (37*Zeta[3])/3 + 8*x^4*Zeta[3]),
 MI[p5n2a, 0][x] -> 4*Pi^2*(-1 + x^2)*HPL[{-1}, x] -
   (4*Pi^2*x^2*HPL[{0}, x])/3 + 8*x^2*HPL[{-2, 0}, x] +
   8*(-1 + x + 2*x^2)*HPL[{-1, 0}, x] - 32*x^2*HPL[{0, 0}, x] +
   8*(1 + x - 2*x^2)*HPL[{1, 0}, x] - 8*x^2*HPL[{2, 0}, x] +
   (8 - 8*x^2)*HPL[{-1, -1, 0}, x] - 16*(-1 + x^2)*HPL[{-1, 0, 0}, x] +
   16*(-1 + x^2)*HPL[{-1, 1, 0}, x] + 64*x^2*HPL[{0, 0, 0}, x] +
   16*(-1 + x^2)*HPL[{1, -1, 0}, x] + 16*(-1 + x^2)*HPL[{1, 0, 0}, x] +
   (8 - 8*x^2)*HPL[{1, 1, 0}, x] + (-112 + Pi^2*(9 + 24*x - 16*x^2) +
     74*Zeta[3] - 48*x^2*Zeta[3])/6,
 MI[p5n3, -3][x] -> -(M^2*(2 + x^2))/3, MI[p5n3, -2][x] -> 
  (-2*M^2*(5 + 3*x^2))/3 + 2*M^2*x^2*HPL[{0}, x], 
 MI[p5n3, -1][x] -> -(M^2*(104 + 88*x^2 + Pi^2*(6 - 7*x^2 + 4*x^4)))/12 + 
   (3*M^2*x^2*(-4 + x^2)*HPL[{-2}, x])/8 + 14*M^2*x^2*HPL[{0}, x] - 
   (3*M^2*x^2*(-4 + x^2)*HPL[{2}, x/(1 + x)])/8 - 
   (3*M^2*x^2*(-4 + x^2)*HPL[{-1, -1}, x])/8 + 
   2*M^2*(-1 + x^2)^2*HPL[{-1, 0}, x] - 4*M^2*x^2*(1 + x^2)*HPL[{0, 0}, x] - 
   2*M^2*(-1 + x^2)^2*HPL[{1, 0}, x], MI[p5n3, 0][x] -> 
  -8*M^2*x*(2 + x^2)*HPL[{-3}, x^(-1)] - 2*M^2*(2 + x^2)*(-5 + x*(4 + 5*x))*
    HPL[{-3}, x] - (2*I)*M^2*(2 + x^2)*((-2*I)*x + Pi*(-1 + x^2))*
    HPL[{-2}, x] + HPL[{-2}, x^(-1)]*
    ((-2*I)*M^2*(2 + x^2)*((-2*I)*x + Pi*(-1 + x^2)) - 
     2*M^2*(-2 + x^2 + x^4)*HPL[{-1}, x] - 8*M^2*x*(2 + x^2)*HPL[{0}, x] - 
     2*M^2*(-2 + x^2 + x^4)*HPL[{1}, x]) + (3*I)*M^2*Pi*(-2 + x^2 + x^4)*
    HPL[{2}, 1 - x^(-2)] + HPL[{-1}, x]*((M^2*Pi^2*(4 - 11*x^2 + 7*x^4))/3 - 
     3*M^2*(-2 + x^2 + x^4)*HPL[{2}, 1 - x^(-2)]) + 
   HPL[{1}, x]*((M^2*Pi^2*(-2 + x^2 + x^4))/3 + 3*M^2*(-2 + x^2 + x^4)*
      HPL[{2}, 1 - x^(-2)]) + HPL[{0}, x]*
    ((M^2*x^2*(396 + Pi^2*(-13 + 4*x^2)))/6 + 6*M^2*(-2 + x^2 + x^4)*
      HPL[{2}, 1 - x^(-2)]) + 3*M^2*(-2 + x^2 + x^4)*HPL[{3}, 1 - x^(-2)] + 
   14*M^2*(-2 + x^2 + x^4)*HPL[{3}, x] - 4*M^2*(-2 + x^2 + x^4)*
    HPL[{-2, -1}, x] - 2*M^2*(-10 + x*(8 + x*(1 + x)*(-3 + 7*x)))*
    HPL[{-2, 0}, x] - 2*M^2*(-2 + x^2 + x^4)*HPL[{-2, 1}, x] + 
   4*M^2*(-2 + x^2 + x^4)*HPL[{-1, -2}, x] + 
   2*M^2*((-3*I)*Pi*(-2 + x^2 + x^4) + (1 + x)*(7 + x*(-9 - 6*x + 4*x^2)))*
    HPL[{-1, 0}, x] - 6*M^2*(-2 + x^2 + x^4)*HPL[{-1, 2}, x] + 
   2*M^2*((7*I)*Pi*(-2 + x^2 + x^4) + 2*x*(2 + x*(-5 + x - 4*x^2)))*
    HPL[{0, 0}, x] - 8*M^2*(-2 + x^2 + x^4)*HPL[{1, -2}, x] + 
   2*M^2*((3*I)*Pi*(-2 + x^2 + x^4) - (-1 + x)*(-7 + x*(-9 + 6*x + 4*x^2)))*
    HPL[{1, 0}, x] + 6*M^2*(-2 + x^2 + x^4)*HPL[{1, 2}, x] - 
   2*M^2*(-2 + x^2 + x^4)*HPL[{2, -1}, x] + 2*M^2*(-14 - x^2 + 9*x^4)*
    HPL[{2, 0}, x] + 2*M^2*(-8 + 7*x^2 + x^4)*HPL[{-1, -1, 0}, x] - 
   6*M^2*(-8 + 5*x^2 + 3*x^4)*HPL[{-1, 0, 0}, x] + 
   2*M^2*(10 - 11*x^2 + x^4)*HPL[{-1, 1, 0}, x] + 
   8*M^2*(-12 + x*(4 + x*(7 + x*(2 + 9*x))))*HPL[{0, 0, 0}, x] + 
   2*M^2*(10 - 11*x^2 + x^4)*HPL[{1, -1, 0}, x] + 
   2*M^2*(-28 + 17*x^2 + 11*x^4)*HPL[{1, 0, 0}, x] + 
   2*M^2*(-8 + 7*x^2 + x^4)*HPL[{1, 1, 0}, x] + 
   (M^2*((5*I)*Pi^3*(-2 + x^2 + x^4) - 
      Pi^2*(27 + x*(4 + x*(-27 + 8*x*(1 + x)))) - 
      2*(6 + 54*x^2 + (14 - 17*x^2 + 12*x^4)*Zeta[3])))/6, 
 MI[p5n3a, -3][x] -> 1/6, MI[p5n3a, -2][x] -> 1/2, 
 MI[p5n3a, -1][x] -> (4 + Pi^2)/24 + (3*x^2*HPL[{-2}, x])/8 - 
   (3*x^2*HPL[{2}, x/(1 + x)])/8 - (3*x^2*HPL[{-1, -1}, x])/8, 
 MI[p5n3a, 0][x] -> 8*x*HPL[{-3}, x^(-1)] + 2*(-5 + x*(4 + 5*x))*
    HPL[{-3}, x] - (-4*x - (2*I)*Pi*(-1 + x^2))*HPL[{-2}, x] - 
   HPL[{-2}, x^(-1)]*(-4*x - (2*I)*Pi*(-1 + x^2) + (2 - 2*x^2)*HPL[{-1}, x] - 
     8*x*HPL[{0}, x] + (2 - 2*x^2)*HPL[{1}, x]) - 
   (3*I)*Pi*(-1 + x^2)*HPL[{2}, 1 - x^(-2)] - 
   HPL[{-1}, x]*((Pi^2*(-1 + x^2))/3 + (3 - 3*x^2)*HPL[{2}, 1 - x^(-2)]) - 
   HPL[{1}, x]*((Pi^2*(-1 + x^2))/3 + 3*(-1 + x^2)*HPL[{2}, 1 - x^(-2)]) - 
   HPL[{0}, x]*((-2*Pi^2*x^2)/3 + 6*(-1 + x^2)*HPL[{2}, 1 - x^(-2)]) - 
   3*(-1 + x^2)*HPL[{3}, 1 - x^(-2)] - 14*(-1 + x^2)*HPL[{3}, x] - 
   (4 - 4*x^2)*HPL[{-2, -1}, x] - (10 - 2*x*(4 + 3*x))*HPL[{-2, 0}, x] - 
   (2 - 2*x^2)*HPL[{-2, 1}, x] - 4*(-1 + x^2)*HPL[{-1, -2}, x] + 
   (2*I)*(-I + 3*Pi)*(-1 + x^2)*HPL[{-1, 0}, x] - 
   (6 - 6*x^2)*HPL[{-1, 2}, x] - 2*(1 + x)*((7*I)*Pi*(-1 + x) + 2*x)*
    HPL[{0, 0}, x] - (8 - 8*x^2)*HPL[{1, -2}, x] - 
   2*(1 + (3*I)*Pi)*(-1 + x^2)*HPL[{1, 0}, x] - 6*(-1 + x^2)*HPL[{1, 2}, x] - 
   (2 - 2*x^2)*HPL[{2, -1}, x] - 2*(-7 + 5*x^2)*HPL[{2, 0}, x] - 
   6*(-1 + x^2)*HPL[{-1, -1, 0}, x] + 26*(-1 + x^2)*HPL[{-1, 0, 0}, x] - 
   (6 - 6*x^2)*HPL[{-1, 1, 0}, x] - 16*(-3 + x + 3*x^2)*HPL[{0, 0, 0}, x] - 
   (6 - 6*x^2)*HPL[{1, -1, 0}, x] - 30*(-1 + x^2)*HPL[{1, 0, 0}, x] - 
   6*(-1 + x^2)*HPL[{1, 1, 0}, x] + 
   (-180 - Pi^2*(-27 + 8*x*(2 + x) + (20*I)*Pi*(-1 + x^2)) + 28*Zeta[3])/24, 
 MI[p5n4, -3][x] -> -(M^2*(1 + 2*x^2))/3, MI[p5n4, -2][x] -> 
  -(M^2*(5 + 11*x^2))/3 + 4*M^2*x^2*HPL[{0}, x], 
 MI[p5n4, -1][x] -> -(M^2*(48*(1 + 3*x^2) + Pi^2*(9 - 14*x^2 + 8*x^4)))/12 + 
   26*M^2*x^2*HPL[{0}, x] + 4*M^2*(-1 + x^2)^2*HPL[{-1, 0}, x] - 
   8*M^2*x^2*(1 + x^2)*HPL[{0, 0}, x] - 4*M^2*(-1 + x^2)^2*HPL[{1, 0}, x], 
 MI[p5n4, 0][x] -> 4*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1}, x] + 
   (M^2*x^2*(342 + Pi^2*(-1 + 4*x^2))*HPL[{0}, x])/3 - 
   8*M^2*x^2*(-1 + x^2)*HPL[{-2, 0}, x] + 2*M^2*(1 + x)^2*(7 + x*(-18 + 7*x))*
    HPL[{-1, 0}, x] - 4*M^2*x^2*(15 + 7*x^2)*HPL[{0, 0}, x] - 
   2*M^2*(-1 + x)^2*(7 + x*(18 + 7*x))*HPL[{1, 0}, x] + 
   8*M^2*x^2*(-1 + x^2)*HPL[{2, 0}, x] - 8*M^2*(-1 + x^2)^2*
    HPL[{-1, -1, 0}, x] + 8*M^2*(-2 + x^2 + x^4)*HPL[{-1, 0, 0}, x] + 
   16*M^2*(-1 + x^2)^2*HPL[{-1, 1, 0}, x] + 16*M^2*x^2*(1 + 3*x^2)*
    HPL[{0, 0, 0}, x] + 16*M^2*(-1 + x^2)^2*HPL[{1, -1, 0}, x] - 
   8*M^2*(-2 + x^2 + x^4)*HPL[{1, 0, 0}, x] - 8*M^2*(-1 + x^2)^2*
    HPL[{1, 1, 0}, x] + 
   (M^2*(40 - 280*x^2 - Pi^2*(33 + x*(48 + x*(-77 + 4*x*(12 + 7*x)))) - 
      4*(25 - 58*x^2 + 24*x^4)*Zeta[3]))/12, 
 MI[p5n4, 1][x] -> -8*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{-2}, x] + 
   8*M^2*x^2*(-2 + 5*x^2)*HPL[{-3, 0}, x] + 
   4*M^2*x*(14 + x*(11 + (6 - 7*x)*x))*HPL[{-2, 0}, x] - 
   8*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1, -1}, x] - 
   M^2*(-6*(1 + x)^2*(1 + (-16 + x)*x) + Pi^2*(15 - 22*x^2 + 7*x^4))*
    HPL[{-1, 0}, x] + (2*M^2*x^2*(-414 + Pi^2 - (18 + 13*Pi^2)*x^2)*
     HPL[{0, 0}, x])/3 + 16*M^2*Pi^2*(-1 + x^2)^2*HPL[{1, -1}, x] - 
   M^2*(Pi^2*(13 - 18*x^2 + 5*x^4) + 6*(-1 + x)^2*(1 + x*(16 + x)))*
    HPL[{1, 0}, x] + 4*M^2*x*(14 + x*(-11 + x*(6 + 7*x)))*HPL[{2, 0}, x] + 
   8*M^2*x^2*(2 - 5*x^2)*HPL[{3, 0}, x] + 16*M^2*x^2*(-1 + x^2)*
    HPL[{-2, -1, 0}, x] + 8*M^2*x^2*(-4 + x^2)*HPL[{-2, 0, 0}, x] - 
   32*M^2*x^2*(-1 + x^2)*HPL[{-2, 1, 0}, x] + 
   16*M^2*(-1 + x^2)*HPL[{-1, -2, 0}, x] - 4*M^2*(1 + x)^2*
    (7 + x*(-18 + 7*x))*HPL[{-1, -1, 0}, x] + 
   4*M^2*(1 + x)*(-11 + x*(25 + 2*x*(-7 + 2*x)))*HPL[{-1, 0, 0}, x] + 
   8*M^2*(1 + x)^2*(7 + x*(-18 + 7*x))*HPL[{-1, 1, 0}, x] - 
   8*M^2*(5 - 8*x^2 + 3*x^4)*HPL[{-1, 2, 0}, x] + 
   8*M^2*x^2*(13 + 24*x^2)*HPL[{0, 0, 0}, x] - 8*M^2*(5 - 8*x^2 + 3*x^4)*
    HPL[{1, -2, 0}, x] + 8*M^2*(-1 + x)^2*(7 + x*(18 + 7*x))*
    HPL[{1, -1, 0}, x] - 4*M^2*(-1 + x)*(11 + x*(25 + 2*x*(7 + 2*x)))*
    HPL[{1, 0, 0}, x] - 4*M^2*(-1 + x)^2*(7 + x*(18 + 7*x))*
    HPL[{1, 1, 0}, x] + 16*M^2*(-1 + x^2)*HPL[{1, 2, 0}, x] - 
   32*M^2*x^2*(-1 + x^2)*HPL[{2, -1, 0}, x] - 8*M^2*x^2*(-4 + x^2)*
    HPL[{2, 0, 0}, x] + 16*M^2*x^2*(-1 + x^2)*HPL[{2, 1, 0}, x] + 
   16*M^2*(-1 + x^2)^2*HPL[{-1, -1, -1, 0}, x] - 
   16*M^2*(-2 + x^2 + x^4)*HPL[{-1, -1, 0, 0}, x] - 
   32*M^2*(-1 + x^2)^2*HPL[{-1, -1, 1, 0}, x] + 16*M^2*(1 + 4*x^2 - 5*x^4)*
    HPL[{-1, 0, 0, 0}, x] - 64*M^2*(-1 + x^2)^2*HPL[{-1, 1, -1, 0}, x] + 
   8*M^2*(-11 + 4*x^2 + 7*x^4)*HPL[{-1, 1, 0, 0}, x] + 
   32*M^2*(-1 + x^2)^2*HPL[{-1, 1, 1, 0}, x] - 32*M^2*x^2*(1 + 7*x^2)*
    HPL[{0, 0, 0, 0}, x] - 32*M^2*(-1 + x^2)^2*HPL[{1, -1, -1, 0}, x] + 
   8*M^2*(-11 + 4*x^2 + 7*x^4)*HPL[{1, -1, 0, 0}, x] + 
   64*M^2*(-1 + x^2)^2*HPL[{1, -1, 1, 0}, x] + 16*M^2*(-1 - 4*x^2 + 5*x^4)*
    HPL[{1, 0, 0, 0}, x] + 32*M^2*(-1 + x^2)^2*HPL[{1, 1, -1, 0}, x] - 
   16*M^2*(-2 + x^2 + x^4)*HPL[{1, 1, 0, 0}, x] - 
   16*M^2*(-1 + x^2)^2*HPL[{1, 1, 1, 0}, x] - 2*M^2*(-1 + x^2)*HPL[{1}, x]*
    (4*Pi^2*(-1 + x^2)*Log[4] + (-13 + 15*x^2)*Zeta[3]) - 
   2*M^2*HPL[{-1}, x]*(Pi^2*(1 + x)^2*(-7 + 18*x - 7*x^2 + 
       8*(-1 + x)^2*Log[2]) + (-13 + 28*x^2 - 15*x^4)*Zeta[3]) + 
   (M^2*(960*(151 + 31*x^2) + Pi^4*(-3059 + 2298*x^2 - 16*x^4) - 
      1440*Pi^2*(2 + x*(42 + x*(-27 + x*(42 + x - 32*Log[2])) - 32*Log[2])) - 
      480*(89 - 325*x^2 + 84*x^4)*Zeta[3]))/1440 + 
   (M^2*x*HPL[{0}, x]*(Pi^2*(168 + x*(-5 + 4*x*(18 + 7*x))) + 
      12*x*(211 + 2*(-5 + x^2)*Zeta[3])))/6, 
 MI[p5n4, 2][x] -> 8*M^2*Pi^2*x^2*(-2 + 5*x^2)*HPL[{-3}, x] + 
   32*M^2*x^2*(1 - 7*x^2)*HPL[{-4, 0}, x] + 
   16*M^2*x*(-23 + x*(-4 + x*(-3 + 8*x)))*HPL[{-3, 0}, x] + 
   16*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{-2, -1}, x] + 
   2*M^2*x*(276 + x*(90 - 6*(-24 + x)*x + Pi^2*(-15 + 11*x^2)))*
    HPL[{-2, 0}, x] + 16*M^2*Pi^2*(-1 + x^2)*HPL[{-1, -2}, x] - 
   8*M^2*Pi^2*(5 - 8*x^2 + 3*x^4)*HPL[{1, -2}, x] - 
   32*M^2*Pi^2*x^2*(-1 + x^2)*HPL[{2, -1}, x] + 
   2*M^2*x*(276 + x*(Pi^2*(-9 + x^2) + 6*(-15 + x*(24 + x))))*
    HPL[{2, 0}, x] - 16*M^2*x*(23 + x*(-4 + x*(3 + 8*x)))*HPL[{3, 0}, x] + 
   32*M^2*x^2*(-1 + 7*x^2)*HPL[{4, 0}, x] + 16*M^2*x^2*(2 - 5*x^2)*
    HPL[{-3, -1, 0}, x] - 16*M^2*x^2*(-4 + x^2)*HPL[{-3, 0, 0}, x] + 
   32*M^2*x^2*(-2 + 5*x^2)*HPL[{-3, 1, 0}, x] - 
   48*M^2*x^4*HPL[{-2, -2, 0}, x] + 8*M^2*x*(-14 + x*(-11 + x*(-6 + 7*x)))*
    HPL[{-2, -1, 0}, x] + 8*M^2*x*(-40 + x*(-25 + x*(24 + 5*x)))*
    HPL[{-2, 0, 0}, x] + 16*M^2*x*(14 + x*(11 + (6 - 7*x)*x))*
    HPL[{-2, 1, 0}, x] + 96*M^2*x^2*(-1 + x^2)*HPL[{-2, 2, 0}, x] - 
   8*M^2*(-23 + 20*x^2 + 3*x^4)*HPL[{-1, -3, 0}, x] + 
   8*M^2*(1 + x)*(-7 + x*(5 + 6*x))*HPL[{-1, -2, 0}, x] + 
   16*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1, -1, -1}, x] + 
   2*M^2*(-6*(1 + x)^2*(1 + (-16 + x)*x) + Pi^2*(15 - 22*x^2 + 7*x^4))*
    HPL[{-1, -1, 0}, x] + 2*M^2*(11*Pi^2*(4 - 5*x^2 + x^4) - 
     6*(1 + x)*(-5 + x*(-35 + 20*x + 6*x^2)))*HPL[{-1, 0, 0}, x] - 
   64*M^2*Pi^2*(-1 + x^2)^2*HPL[{-1, 1, -1}, x] + 
   4*M^2*(6*(1 + x)^2*(1 + (-16 + x)*x) + Pi^2*(11 - 18*x^2 + 7*x^4))*
    HPL[{-1, 1, 0}, x] - 32*M^2*(4 + x*(-4 - 11*x + 3*x^3))*
    HPL[{-1, 2, 0}, x] + 8*M^2*(23 - 32*x^2 + 9*x^4)*HPL[{-1, 3, 0}, x] + 
   (4*M^2*x^2*(234 + 180*x^2 + Pi^2*(-1 + 37*x^2))*HPL[{0, 0, 0}, x])/3 + 
   8*M^2*(23 - 32*x^2 + 9*x^4)*HPL[{1, -3, 0}, x] - 
   32*M^2*(4 + x*(4 - 11*x + 3*x^3))*HPL[{1, -2, 0}, x] - 
   32*M^2*Pi^2*(-1 + x^2)^2*HPL[{1, -1, -1}, x] + 
   4*M^2*(Pi^2*(-17 + 22*x^2 - 5*x^4) + 6*(-1 + x)^2*(1 + x*(16 + x)))*
    HPL[{1, -1, 0}, x] + 2*M^2*(Pi^2*(48 - 49*x^2 + x^4) + 
     6*(-1 + x)*(5 + x*(-35 - 20*x + 6*x^2)))*HPL[{1, 0, 0}, x] + 
   32*M^2*Pi^2*(-1 + x^2)^2*HPL[{1, 1, -1}, x] - 
   2*M^2*(Pi^2*(13 - 18*x^2 + 5*x^4) + 6*(-1 + x)^2*(1 + x*(16 + x)))*
    HPL[{1, 1, 0}, x] + 8*M^2*(-7 - (-2 + x)*x*(1 + 6*x))*HPL[{1, 2, 0}, x] - 
   8*M^2*(-23 + 20*x^2 + 3*x^4)*HPL[{1, 3, 0}, x] + 
   96*M^2*x^2*(-1 + x^2)*HPL[{2, -2, 0}, x] - 
   16*M^2*x*(14 + x*(-11 + x*(6 + 7*x)))*HPL[{2, -1, 0}, x] - 
   8*M^2*x*(40 + x*(-25 + x*(-24 + 5*x)))*HPL[{2, 0, 0}, x] + 
   8*M^2*x*(14 + x*(-11 + x*(6 + 7*x)))*HPL[{2, 1, 0}, x] - 
   48*M^2*x^4*HPL[{2, 2, 0}, x] + 32*M^2*x^2*(-2 + 5*x^2)*
    HPL[{3, -1, 0}, x] + 16*M^2*x^2*(-4 + x^2)*HPL[{3, 0, 0}, x] + 
   16*M^2*x^2*(2 - 5*x^2)*HPL[{3, 1, 0}, x] - 32*M^2*x^2*(-1 + x^2)*
    HPL[{-2, -1, -1, 0}, x] - 16*M^2*x^2*(-4 + x^2)*HPL[{-2, -1, 0, 0}, x] + 
   64*M^2*x^2*(-1 + x^2)*HPL[{-2, -1, 1, 0}, x] + 
   32*M^2*x^2*(1 + 2*x^2)*HPL[{-2, 0, 0, 0}, x] + 
   128*M^2*x^2*(-1 + x^2)*HPL[{-2, 1, -1, 0}, x] - 
   64*M^2*x^2*(2 + x^2)*HPL[{-2, 1, 0, 0}, x] - 64*M^2*x^2*(-1 + x^2)*
    HPL[{-2, 1, 1, 0}, x] - 32*M^2*(-1 + x^2)*HPL[{-1, -2, -1, 0}, x] + 
   8*M^2*(11 + 4*x^2 - 15*x^4)*HPL[{-1, -2, 0, 0}, x] + 
   64*M^2*(-1 + x^2)*HPL[{-1, -2, 1, 0}, x] - 
   32*M^2*(-1 + x^2)*HPL[{-1, -1, -2, 0}, x] + 
   8*M^2*(1 + x)^2*(7 + x*(-18 + 7*x))*HPL[{-1, -1, -1, 0}, x] - 
   8*M^2*(1 + x)*(-11 + x*(25 + 2*x*(-7 + 2*x)))*HPL[{-1, -1, 0, 0}, x] - 
   16*M^2*(1 + x)^2*(7 + x*(-18 + 7*x))*HPL[{-1, -1, 1, 0}, x] + 
   16*M^2*(5 - 8*x^2 + 3*x^4)*HPL[{-1, -1, 2, 0}, x] - 
   8*M^2*(1 + x)*(-1 + x*(17 + x*(-61 + 29*x)))*HPL[{-1, 0, 0, 0}, x] + 
   16*M^2*(13 - 16*x^2 + 3*x^4)*HPL[{-1, 1, -2, 0}, x] - 
   32*M^2*(1 + x)^2*(7 + x*(-18 + 7*x))*HPL[{-1, 1, -1, 0}, x] + 
   8*M^2*(1 + x)*(-31 + x*(59 + x*(-37 + 17*x)))*HPL[{-1, 1, 0, 0}, x] + 
   16*M^2*(1 + x)^2*(7 + x*(-18 + 7*x))*HPL[{-1, 1, 1, 0}, x] + 
   16*M^2*(1 - 4*x^2 + 3*x^4)*HPL[{-1, 1, 2, 0}, x] + 
   32*M^2*(5 - 8*x^2 + 3*x^4)*HPL[{-1, 2, -1, 0}, x] - 
   8*M^2*(-29 + 20*x^2 + 9*x^4)*HPL[{-1, 2, 0, 0}, x] - 
   16*M^2*(5 - 8*x^2 + 3*x^4)*HPL[{-1, 2, 1, 0}, x] + 
   16*M^2*x^2*(9 - 67*x^2)*HPL[{0, 0, 0, 0}, x] + 
   16*M^2*(5 - 8*x^2 + 3*x^4)*HPL[{1, -2, -1, 0}, x] - 
   8*M^2*(-29 + 20*x^2 + 9*x^4)*HPL[{1, -2, 0, 0}, x] - 
   32*M^2*(5 - 8*x^2 + 3*x^4)*HPL[{1, -2, 1, 0}, x] - 
   16*M^2*(1 - 4*x^2 + 3*x^4)*HPL[{1, -1, -2, 0}, x] - 
   16*M^2*(-1 + x)^2*(7 + x*(18 + 7*x))*HPL[{1, -1, -1, 0}, x] + 
   8*M^2*(-1 + x)*(31 + x*(59 + x*(37 + 17*x)))*HPL[{1, -1, 0, 0}, x] + 
   32*M^2*(-1 + x)^2*(7 + x*(18 + 7*x))*HPL[{1, -1, 1, 0}, x] - 
   16*M^2*(13 - 16*x^2 + 3*x^4)*HPL[{1, -1, 2, 0}, x] + 
   8*M^2*(-1 + x)*(1 + x*(17 + x*(61 + 29*x)))*HPL[{1, 0, 0, 0}, x] - 
   16*M^2*(5 - 8*x^2 + 3*x^4)*HPL[{1, 1, -2, 0}, x] + 
   16*M^2*(-1 + x)^2*(7 + x*(18 + 7*x))*HPL[{1, 1, -1, 0}, x] - 
   8*M^2*(-1 + x)*(11 + x*(25 + 2*x*(7 + 2*x)))*HPL[{1, 1, 0, 0}, x] - 
   8*M^2*(-1 + x)^2*(7 + x*(18 + 7*x))*HPL[{1, 1, 1, 0}, x] + 
   32*M^2*(-1 + x^2)*HPL[{1, 1, 2, 0}, x] - 64*M^2*(-1 + x^2)*
    HPL[{1, 2, -1, 0}, x] + 8*M^2*(11 + 4*x^2 - 15*x^4)*
    HPL[{1, 2, 0, 0}, x] + 32*M^2*(-1 + x^2)*HPL[{1, 2, 1, 0}, x] + 
   64*M^2*x^2*(-1 + x^2)*HPL[{2, -1, -1, 0}, x] - 
   64*M^2*x^2*(2 + x^2)*HPL[{2, -1, 0, 0}, x] - 128*M^2*x^2*(-1 + x^2)*
    HPL[{2, -1, 1, 0}, x] - 32*M^2*x^2*(1 + 2*x^2)*HPL[{2, 0, 0, 0}, x] - 
   64*M^2*x^2*(-1 + x^2)*HPL[{2, 1, -1, 0}, x] - 
   16*M^2*x^2*(-4 + x^2)*HPL[{2, 1, 0, 0}, x] + 32*M^2*x^2*(-1 + x^2)*
    HPL[{2, 1, 1, 0}, x] - 32*M^2*(-1 + x^2)^2*HPL[{-1, -1, -1, -1, 0}, x] + 
   32*M^2*(-2 + x^2 + x^4)*HPL[{-1, -1, -1, 0, 0}, x] + 
   64*M^2*(-1 + x^2)^2*HPL[{-1, -1, -1, 1, 0}, x] + 
   32*M^2*(-1 - 4*x^2 + 5*x^4)*HPL[{-1, -1, 0, 0, 0}, x] + 
   128*M^2*(-1 + x^2)^2*HPL[{-1, -1, 1, -1, 0}, x] - 
   16*M^2*(-11 + 4*x^2 + 7*x^4)*HPL[{-1, -1, 1, 0, 0}, x] - 
   64*M^2*(-1 + x^2)^2*HPL[{-1, -1, 1, 1, 0}, x] + 
   32*M^2*(10 - 23*x^2 + 13*x^4)*HPL[{-1, 0, 0, 0, 0}, x] + 
   128*M^2*(-1 + x^2)^2*HPL[{-1, 1, -1, -1, 0}, x] - 
   16*M^2*(-25 + 8*x^2 + 17*x^4)*HPL[{-1, 1, -1, 0, 0}, x] - 
   256*M^2*(-1 + x^2)^2*HPL[{-1, 1, -1, 1, 0}, x] + 
   32*M^2*(5 + 8*x^2 - 13*x^4)*HPL[{-1, 1, 0, 0, 0}, x] - 
   128*M^2*(-1 + x^2)^2*HPL[{-1, 1, 1, -1, 0}, x] + 
   16*M^2*(-11 + 4*x^2 + 7*x^4)*HPL[{-1, 1, 1, 0, 0}, x] + 
   64*M^2*(-1 + x^2)^2*HPL[{-1, 1, 1, 1, 0}, x] + 
   64*M^2*x^2*(1 + 15*x^2)*HPL[{0, 0, 0, 0, 0}, x] + 
   64*M^2*(-1 + x^2)^2*HPL[{1, -1, -1, -1, 0}, x] - 
   16*M^2*(-11 + 4*x^2 + 7*x^4)*HPL[{1, -1, -1, 0, 0}, x] - 
   128*M^2*(-1 + x^2)^2*HPL[{1, -1, -1, 1, 0}, x] + 
   32*M^2*(5 + 8*x^2 - 13*x^4)*HPL[{1, -1, 0, 0, 0}, x] - 
   256*M^2*(-1 + x^2)^2*HPL[{1, -1, 1, -1, 0}, x] + 
   16*M^2*(-25 + 8*x^2 + 17*x^4)*HPL[{1, -1, 1, 0, 0}, x] + 
   128*M^2*(-1 + x^2)^2*HPL[{1, -1, 1, 1, 0}, x] - 
   32*M^2*(10 - 23*x^2 + 13*x^4)*HPL[{1, 0, 0, 0, 0}, x] - 
   64*M^2*(-1 + x^2)^2*HPL[{1, 1, -1, -1, 0}, x] + 
   16*M^2*(-11 + 4*x^2 + 7*x^4)*HPL[{1, 1, -1, 0, 0}, x] + 
   128*M^2*(-1 + x^2)^2*HPL[{1, 1, -1, 1, 0}, x] + 
   32*M^2*(-1 - 4*x^2 + 5*x^4)*HPL[{1, 1, 0, 0, 0}, x] + 
   64*M^2*(-1 + x^2)^2*HPL[{1, 1, 1, -1, 0}, x] - 
   32*M^2*(-2 + x^2 + x^4)*HPL[{1, 1, 1, 0, 0}, x] - 
   32*M^2*(-1 + x^2)^2*HPL[{1, 1, 1, 1, 0}, x] + 
   16*M^2*x^2*(-1 + x^2)*HPL[{2}, x]*(Pi^2*Log[4] + 3*Zeta[3]) + 
   4*M^2*x*HPL[{-2}, x]*
    (Pi^2*(14 + x*(11 - 8*Log[2] + x*(6 + x*(-7 + Log[256])))) - 
     12*x*(-1 + x^2)*Zeta[3]) - 4*M^2*(-1 + x^2)*HPL[{1, 1}, x]*
    (4*Pi^2*(-1 + x^2)*Log[4] + (-13 + 15*x^2)*Zeta[3]) + 
   4*M^2*(-1 + x^2)*HPL[{-1, 1}, x]*(8*Pi^2*(-1 + x^2)*Log[4] + 
     (-23 + 33*x^2)*Zeta[3]) + 4*M^2*HPL[{-1, -1}, x]*
    (Pi^2*(1 + x)^2*(-7 + 18*x - 7*x^2 + 8*(-1 + x)^2*Log[2]) + 
     (-13 + 28*x^2 - 15*x^4)*Zeta[3]) + 
   (M^2*HPL[{-1, 0}, x]*(-4*(1 + x)^2*(101 + x*(80 + 101*x)) + 
      Pi^2*(-97 + 224*Log[2] + x*(76 + x*(242 - 320*Log[2] + 
            3*x*(4 + x*(-19 + 32*Log[2]))))) - 16*(5 - 7*x^2 + 2*x^4)*
       Zeta[3]))/2 + (M^2*HPL[{1, 0}, x]*
     (4*(-1 + x)^2*(101 + x*(-80 + 101*x)) + 
      Pi^2*(-3*(-1 + x)*(-29 + x*(-41 + x*(25 + 13*x))) + 
        32*(7 - 10*x^2 + 3*x^4)*Log[2]) + 16*(5 - 7*x^2 + 2*x^4)*Zeta[3]))/
    2 + 4*M^2*HPL[{1, -1}, x]*(-2*Pi^2*(-1 + x)^2*(-7 - 18*x - 7*x^2 + 
       8*(1 + x)^2*Log[2]) + (23 - 56*x^2 + 33*x^4)*Zeta[3]) + 
   (M^2*(1 + x)*HPL[{-1}, x]*(Pi^4*(-1 + x)*(-215 + 81*x^2) + 
      60*Pi^2*(1 + x)*(3*(1 + (-16 + x)*x) - 4*(7 + x*(-18 + 7*x))*Log[2] + 
        32*(-1 + x)^2*Log[2]^2) + 60*(47 + x*(-67 - 87*x + 51*x^2))*Zeta[3]))/
    30 + (M^2*(-1 + x)*HPL[{1}, x]*(Pi^4*(1 + x)*(65 + 69*x^2) + 
      240*Pi^2*(-1 + x)*Log[2]*(-7 - 18*x - 7*x^2 + 8*(1 + x)^2*Log[2]) - 
      60*(-47 + x*(-67 + 87*x + 51*x^2))*Zeta[3]))/30 - 
   (M^2*x*HPL[{0, 0}, x]*(Pi^2*(552 + x*(13 + x*(72 + 85*x))) - 
      12*x*(-241 + 101*x^2 + 10*Zeta[3])))/3 + 
   (M^2*x*HPL[{0}, x]*(-(Pi^4*x*(575 + 112*x^2)) + 
      180*Pi^2*(552 - 448*Log[2] + x*(-3 + 4*x*(72 + x - 8*Log[64]))) + 
      720*x*(713 + (-63 + 10*x^2)*Zeta[3])))/360 - 
   (M^2*(Pi^4*(9751 + x*(7200 + x*(-11919 + 40*x*(180 + 17*x)))) + 
      120*Pi^2*(-414 + 321*Zeta[3] + 
        2*x*(12*(141 - 168*Log[2] + Log[256]^2) + 
          x*(-689 + 12*x*(141 - 168*Log[2] + Log[256]^2) - 85*Zeta[3] + 
            x^2*(-202 + 40*Zeta[3])))) + 288*(-3670 + 80*Zeta[3] + 
        2309*Zeta[5] + 2*x^2*(-1275 + 30*(-37 + x^2)*Zeta[3] + 
          (-841 + 105*x^2)*Zeta[5]))))/1440, MI[p5n4a, -3][x] -> 1/6, 
 MI[p5n4a, -2][x] -> 1/2, MI[p5n4a, -1][x] -> (4 - Pi^2*(-9 + 8*x^2))/24 - 
   (2 - 2*x^2)*HPL[{-1, 0}, x] - 4*x^2*HPL[{0, 0}, x] - 
   2*(-1 + x^2)*HPL[{1, 0}, x], MI[p5n4a, 0][x] -> 
  -15/2 - Pi^2*(-11/24 + (-2 + x)*x) + 2*Pi^2*(-1 + x^2)*HPL[{-1}, x] + 
   2*(1 + x)*(-1 + 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*HPL[{-1, 0, 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] - 
   8*HPL[{1, 0, 0}, x] - 4*(-1 + x^2)*HPL[{1, 1, 0}, x] - 
   (-31/6 + 4*x^2)*Zeta[3], MI[p5n4a, 1][x] -> 
  -359/6 - (Pi^4*(-3523 + 1264*x^2))/2880 - 16*Pi^2*x*HPL[{0}, x] - 
   32*x*HPL[{-2, 0}, x] - 4*Pi^2*(-1 + x^2)*HPL[{-1, -1}, x] - 
   (-18*(1 + x)^2 + (Pi^2*(-53 + 21*x^2))/6)*HPL[{-1, 0}, x] - 
   (36 + Pi^2)*x^2*HPL[{0, 0}, x] + 8*Pi^2*(-1 + x^2)*HPL[{1, -1}, x] - 
   (18*(-1 + x)^2 + (Pi^2*(-43 + 27*x^2))/6)*HPL[{1, 0}, x] - 
   32*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] - 
   16*x*(2 + x)*HPL[{-1, 0, 0}, x] + 8*(1 + x)*(-1 + 3*x)*
    HPL[{-1, 1, 0}, x] - 8*(-3 + x^2)*HPL[{-1, 2, 0}, x] + 
   104*x^2*HPL[{0, 0, 0}, x] - 8*(-3 + x^2)*HPL[{1, -2, 0}, x] + 
   8*(-1 + x)*(1 + 3*x)*HPL[{1, -1, 0}, x] + 
   16*(-2 + x)*x*HPL[{1, 0, 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*HPL[{-1, -1, 0, 0}, x] - 16*(-1 + x^2)*HPL[{-1, -1, 1, 0}, x] - 
   16*x^2*HPL[{-1, 0, 0, 0}, x] - 32*(-1 + x^2)*HPL[{-1, 1, -1, 0}, x] + 
   48*HPL[{-1, 1, 0, 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] + 
   48*HPL[{1, -1, 0, 0}, x] + 32*(-1 + x^2)*HPL[{1, -1, 1, 0}, x] + 
   16*x^2*HPL[{1, 0, 0, 0}, x] + 16*(-1 + x^2)*HPL[{1, 1, -1, 0}, x] - 
   16*HPL[{1, 1, 0, 0}, x] - 8*(-1 + x^2)*HPL[{1, 1, 1, 0}, x] - 
   Pi^2*(71/24 + x*(-18 + 3*x + 16*Log[2])) - (3*(-5 + 8*x^2)*Zeta[3])/2 - 
   HPL[{-1}, x]*(2*Pi^2*(1 + x)*(1 - 3*x + (-1 + x)*Log[16]) + 
     4*(4 - 3*x^2)*Zeta[3]) - 4*HPL[{1}, x]*(Pi^2*(-1 + x^2)*Log[4] + 
     (-4 + 3*x^2)*Zeta[3]), MI[p5n4a, 2][x] -> 
  -(Pi^4*(-353/320 - (5*x)/2 + (341*x^2)/180)) - 32*Pi^2*x*HPL[{-2}, x] - 
   16*(-14 + x)*x*HPL[{-3, 0}, x] - 16*x*(16 + x)*HPL[{-2, 0}, x] - 
   8*Pi^2*(-1 + x^2)*HPL[{-1, -2}, x] - 8*Pi^2*(-3 + x^2)*HPL[{1, -2}, x] + 
   16*(-16 + x)*x*HPL[{2, 0}, x] + 16*x*(14 + x)*HPL[{3, 0}, x] + 
   64*x*HPL[{-2, -1, 0}, x] + 16*x*(12 + x)*HPL[{-2, 0, 0}, x] - 
   128*x*HPL[{-2, 1, 0}, x] - (112 - 32*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] - 
   (36*(1 + x)^2 + Pi^2*(53/3 - 7*x^2))*HPL[{-1, -1, 0}, x] - 
   (16*(1 + x)*(7 + 6*x) + Pi^2*(54 - 16*x^2))*HPL[{-1, 0, 0}, x] - 
   32*Pi^2*(-1 + x^2)*HPL[{-1, 1, -1}, x] - 
   (-72*(1 + x)^2 + Pi^2*(70/3 - 18*x^2))*HPL[{-1, 1, 0}, x] - 
   8*(-3 + 5*x*(2 + x))*HPL[{-1, 2, 0}, x] - 
   (112 - 32*x^2)*HPL[{-1, 3, 0}, x] + 2*(220 + 3*Pi^2)*x^2*
    HPL[{0, 0, 0}, x] - (112 - 32*x^2)*HPL[{1, -3, 0}, x] - 
   8*(-3 + 5*(-2 + x)*x)*HPL[{1, -2, 0}, x] - 16*Pi^2*(-1 + x^2)*
    HPL[{1, -1, -1}, x] - (-72*(-1 + x)^2 + (2*Pi^2*(-61 + 21*x^2))/3)*
    HPL[{1, -1, 0}, x] - 2*(-56 + 29*Pi^2 + 104*x - 8*(6 + Pi^2)*x^2)*
    HPL[{1, 0, 0}, x] + 16*Pi^2*(-1 + x^2)*HPL[{1, 1, -1}, x] - 
   (36*(-1 + x)^2 + Pi^2*(-43/3 + 9*x^2))*HPL[{1, 1, 0}, x] - 
   8*(1 + x)*(-1 + 3*x)*HPL[{1, 2, 0}, x] - 
   (112 - 32*x^2)*HPL[{1, 3, 0}, x] + 128*x*HPL[{2, -1, 0}, x] - 
   16*(-12 + x)*x*HPL[{2, 0, 0}, x] - 64*x*HPL[{2, 1, 0}, x] + 
   16*(-1 + x^2)*HPL[{-1, -2, -1, 0}, x] - 48*HPL[{-1, -2, 0, 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] + 32*x*(2 + x)*HPL[{-1, -1, 0, 0}, x] - 
   16*(1 + x)*(-1 + 3*x)*HPL[{-1, -1, 1, 0}, x] + 
   16*(-3 + x^2)*HPL[{-1, -1, 2, 0}, x] + 16*(1 + x)*(3 + x)*
    HPL[{-1, 0, 0, 0}, x] + 32*(-4 + x^2)*HPL[{-1, 1, -2, 0}, x] - 
   32*(1 + x)*(-1 + 3*x)*HPL[{-1, 1, -1, 0}, x] - 
   16*(-1 + x*(8 + 5*x))*HPL[{-1, 1, 0, 0}, x] + 
   16*(1 + x)*(-1 + 3*x)*HPL[{-1, 1, 1, 0}, x] + 
   32*x^2*HPL[{-1, 1, 2, 0}, x] + 32*(-3 + x^2)*HPL[{-1, 2, -1, 0}, x] - 
   144*HPL[{-1, 2, 0, 0}, x] - 16*(-3 + x^2)*HPL[{-1, 2, 1, 0}, x] - 
   720*x^2*HPL[{0, 0, 0, 0}, x] + 16*(-3 + x^2)*HPL[{1, -2, -1, 0}, x] - 
   144*HPL[{1, -2, 0, 0}, x] - 32*(-3 + x^2)*HPL[{1, -2, 1, 0}, x] - 
   32*x^2*HPL[{1, -1, -2, 0}, x] - 16*(-1 + x)*(1 + 3*x)*
    HPL[{1, -1, -1, 0}, x] - 16*(-1 + x*(-8 + 5*x))*HPL[{1, -1, 0, 0}, x] + 
   32*(-1 + x)*(1 + 3*x)*HPL[{1, -1, 1, 0}, x] - 
   32*(-4 + x^2)*HPL[{1, -1, 2, 0}, x] - 16*(-3 + x)*(-1 + x)*
    HPL[{1, 0, 0, 0}, x] - 16*(-3 + x^2)*HPL[{1, 1, -2, 0}, x] + 
   16*(-1 + x)*(1 + 3*x)*HPL[{1, 1, -1, 0}, x] + 
   32*(-2 + x)*x*HPL[{1, 1, 0, 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] - 48*HPL[{1, 2, 0, 0}, x] - 
   16*(-1 + x^2)*HPL[{1, 2, 1, 0}, x] - 16*(-1 + x^2)*
    HPL[{-1, -1, -1, -1, 0}, x] + 32*HPL[{-1, -1, -1, 0, 0}, x] + 
   32*(-1 + x^2)*HPL[{-1, -1, -1, 1, 0}, x] + 
   32*x^2*HPL[{-1, -1, 0, 0, 0}, x] + 64*(-1 + x^2)*
    HPL[{-1, -1, 1, -1, 0}, x] - 96*HPL[{-1, -1, 1, 0, 0}, x] - 
   32*(-1 + x^2)*HPL[{-1, -1, 1, 1, 0}, x] - 
   (256 - 96*x^2)*HPL[{-1, 0, 0, 0, 0}, x] + 
   64*(-1 + x^2)*HPL[{-1, 1, -1, -1, 0}, x] - 224*HPL[{-1, 1, -1, 0, 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] + 96*HPL[{-1, 1, 1, 0, 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] - 96*HPL[{1, -1, -1, 0, 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] + 224*HPL[{1, -1, 1, 0, 0}, x] + 
   64*(-1 + x^2)*HPL[{1, -1, 1, 1, 0}, x] - 32*(-8 + 3*x^2)*
    HPL[{1, 0, 0, 0, 0}, x] - 32*(-1 + x^2)*HPL[{1, 1, -1, -1, 0}, x] + 
   96*HPL[{1, 1, -1, 0, 0}, x] + 64*(-1 + x^2)*HPL[{1, 1, -1, 1, 0}, x] + 
   32*x^2*HPL[{1, 1, 0, 0, 0}, x] + 32*(-1 + x^2)*HPL[{1, 1, 1, -1, 0}, x] - 
   32*HPL[{1, 1, 1, 0, 0}, x] - 16*(-1 + x^2)*HPL[{1, 1, 1, 1, 0}, x] - 
   (HPL[{-1, 0}, x]*(Pi^2*(-53 + 138*x + 95*x^2 - 192*(-2 + x^2)*Log[2]) + 
      12*(-71 + x*(-110 + x*(-39 + Zeta[3])) - 13*Zeta[3])))/6 - 
   (HPL[{1, 0}, x]*(Pi^2*(-43 - 54*x + 97*x^2 - 192*(-2 + x^2)*Log[2]) - 
      12*(-71 + x*(110 + x*(-39 + Zeta[3])) - 13*Zeta[3])))/6 - 
   (x*HPL[{0, 0}, x]*(Pi^2*(-336 + x) - 12*x*(-39 + Zeta[3])))/3 - 
   (8*x*HPL[{0}, x]*(-(Pi^2*(x + 48*(-1 + Log[2]))) - 3*x*Zeta[3]))/3 - 
   8*HPL[{1, -1}, x]*(Pi^2*(-1 + x)*(-1 + x*(-3 + Log[16]) + Log[16]) + 
     (7 - 6*x^2)*Zeta[3]) - 8*HPL[{1, 1}, x]*(Pi^2*(-1 + x^2)*Log[4] + 
     (-4 + 3*x^2)*Zeta[3]) - HPL[{-1, -1}, x]*
    (-4*Pi^2*(1 + x)*(1 - 3*x + (-1 + x)*Log[16]) + 8*(-4 + 3*x^2)*Zeta[3]) + 
   8*HPL[{-1, 1}, x]*(2*Pi^2*(-1 + x^2)*Log[4] + (-7 + 6*x^2)*Zeta[3]) - 
   HPL[{1}, x]*((Pi^4*(-58 + 3*x^2))/45 - 8*Pi^2*(-1 + x)*Log[2]*
      (-1 + x*(-3 + Log[16]) + Log[16]) + 8*(-3 + x*(-3 + 4*x))*Zeta[3]) - 
   HPL[{-1}, x]*((11*Pi^4*(31 - 21*x^2))/90 - 2*Pi^2*(1 + x)*
      (9 + 9*x + Log[16] - 3*x*Log[16] + (-1 + x)*Log[16]^2) - 
     8*(-3 + x*(3 + 4*x))*Zeta[3]) - 
   (Pi^2*(613 - 407*Zeta[3] + 8*x*(-6*(55 + 8*Log[2]*(-9 + Log[16])) + 
        x*(39 + 10*Zeta[3]))))/24 - 36*x^2*(Zeta[3] + 2*Zeta[5]) + 
   (-10185 - 925*Zeta[3] + 8997*Zeta[5])/30, MI[p6n1, -3][x] -> 1/6, 
 MI[p6n1, -2][x] -> 3/2, MI[p6n1, -1][x] -> 55/6 - (7*Pi^2)/24, 
 MI[p6n1, 0][x] -> 95/2 - (2*Pi^4*x^2)/5 - Pi^2*(5/8 + 2*x) + 
   (10*Pi^2*x^2*HPL[{-2}, x])/3 - (5*Pi^2*(-1 + x^2)*HPL[{-1}, x])/3 - 
   (Pi^2*(-1 + x^2)*HPL[{1}, x])/3 + (2*Pi^2*x^2*HPL[{2}, x])/3 + 
   8*x^2*HPL[{-3, 0}, x] - 4*x^2*HPL[{-2, 0}, x] - 
   4*(1 + x)*HPL[{-1, 0}, x] - (8*Pi^2*x^2*HPL[{0, 0}, x])/3 - 
   4*(-1 + x)*HPL[{1, 0}, x] + 4*x^2*HPL[{2, 0}, x] - 8*x^2*HPL[{3, 0}, x] + 
   8*x^2*HPL[{-2, 1, 0}, x] - 4*(-1 + x^2)*HPL[{-1, 1, 0}, x] - 
   4*(-1 + x^2)*HPL[{1, -1, 0}, x] + 8*x^2*HPL[{2, -1, 0}, x] + 
   (4*x^2*HPL[{0}, x]*(Pi^2 - 9*Zeta[3]))/3 - (53/6 - 6*x^2)*Zeta[3], 
 MI[p6n1, 1][x] -> 1351/6 - (17*Pi^4*(79 + 32*x^2))/960 - 
   4*Pi^2*x^2*HPL[{-3}, x] - 4*Pi^2*x^2*HPL[{3}, x] - 
   64*x^2*HPL[{-4, 0}, x] + 48*x^2*HPL[{-3, 0}, x] - 
   (20*Pi^2*x^2*HPL[{-2, -1}, x])/3 - 4*x*(-8 + 3*(2 + Pi^2)*x)*
    HPL[{-2, 0}, x] - 4*Pi^2*x^2*HPL[{-2, 1}, x] + 
   (10*Pi^2*(-1 + x^2)*HPL[{-1, -1}, x])/3 - (40*(1 + x) - 6*Pi^2*(-1 + x^2))*
    HPL[{-1, 0}, x] + 2*Pi^2*(-1 + x^2)*HPL[{-1, 1}, x] - 
   14*Pi^2*(-1 + x^2)*HPL[{1, -1}, x] + 10*(-1 + x)*(-4 + Pi^2*(1 + x))*
    HPL[{1, 0}, x] - (2*Pi^2*(-1 + x^2)*HPL[{1, 1}, x])/3 + 
   28*Pi^2*x^2*HPL[{2, -1}, x] - 4*x*(-8 + (-6 + 5*Pi^2)*x)*HPL[{2, 0}, x] + 
   (4*Pi^2*x^2*HPL[{2, 1}, x])/3 - 48*x^2*HPL[{3, 0}, x] + 
   64*x^2*HPL[{4, 0}, x] - 32*x^2*HPL[{-3, -1, 0}, x] + 
   16*x^2*HPL[{-3, 0, 0}, x] + 16*x^2*HPL[{-3, 1, 0}, x] - 
   32*x^2*HPL[{-2, -2, 0}, x] + 16*x^2*HPL[{-2, -1, 0}, x] - 
   8*x^2*HPL[{-2, 0, 0}, x] + 8*x^2*HPL[{-2, 1, 0}, x] - 
   32*x^2*HPL[{-2, 2, 0}, x] + 16*(-1 + x^2)*HPL[{-1, -2, 0}, x] - 
   4*(-3 + x)*(1 + x)*HPL[{-1, -1, 0}, x] - (4 - 4*x^2)*HPL[{-1, 0, 0}, x] - 
   4*(1 + x)*(1 + 7*x)*HPL[{-1, 1, 0}, x] + 
   16*(-1 + x^2)*HPL[{-1, 2, 0}, x] - (8*(3 - 8*Pi^2)*x^2*HPL[{0, 0, 0}, x])/
    3 + 16*(-1 + x^2)*HPL[{1, -2, 0}, x] - 4*(-1 + x)*(-1 + 7*x)*
    HPL[{1, -1, 0}, x] - 4*(-1 + x^2)*HPL[{1, 0, 0}, x] - 
   4*(-1 + x)*(3 + x)*HPL[{1, 1, 0}, x] + 16*(-1 + x^2)*HPL[{1, 2, 0}, x] - 
   32*x^2*HPL[{2, -2, 0}, x] + 8*x^2*HPL[{2, -1, 0}, x] + 
   8*x^2*HPL[{2, 0, 0}, x] + 16*x^2*HPL[{2, 1, 0}, x] - 
   32*x^2*HPL[{2, 2, 0}, x] + 16*x^2*HPL[{3, -1, 0}, x] - 
   16*x^2*HPL[{3, 0, 0}, x] - 32*x^2*HPL[{3, 1, 0}, x] - 
   16*x^2*HPL[{-2, -1, 1, 0}, x] - 16*x^2*HPL[{-2, 0, 0, 0}, x] - 
   80*x^2*HPL[{-2, 1, -1, 0}, x] + 16*x^2*HPL[{-2, 1, 1, 0}, x] - 
   (8 - 8*x^2)*HPL[{-1, -1, 1, 0}, x] - (8 - 8*x^2)*HPL[{-1, 0, 0, 0}, x] + 
   40*(-1 + x^2)*HPL[{-1, 1, -1, 0}, x] - 
   8*(-1 + x^2)*HPL[{-1, 1, 1, 0}, x] - (8 - 8*x^2)*HPL[{1, -1, -1, 0}, x] - 
   40*(-1 + x^2)*HPL[{1, -1, 1, 0}, x] - 8*(-1 + x^2)*HPL[{1, 0, 0, 0}, x] - 
   8*(-1 + x^2)*HPL[{1, 1, -1, 0}, x] - 16*x^2*HPL[{2, -1, -1, 0}, x] + 
   80*x^2*HPL[{2, -1, 1, 0}, x] + 16*x^2*HPL[{2, 0, 0, 0}, x] + 
   16*x^2*HPL[{2, 1, -1, 0}, x] - 
   (2*x^2*HPL[{-2}, x]*(Pi^2*(-13 + 48*Log[2]) - 84*Zeta[3]))/3 - 
   8*x^2*HPL[{0, 0}, x]*(2*Pi^2 - 5*Zeta[3]) - (71*Zeta[3])/2 - 
   (2*x^2*HPL[{2}, x]*(Pi^2*(-5 + 48*Log[2]) + 84*Zeta[3]))/3 - 
   (x*HPL[{0}, x]*(7*Pi^4*x - 30*Pi^2*(8 + 5*x) + 660*x*Zeta[3]))/15 + 
   ((-1 + x)*HPL[{1}, x]*(Pi^2*(-5 - 9*x + 48*(1 + x)*Log[2]) + 
      84*(1 + x)*Zeta[3]))/3 - 
   (HPL[{-1}, x]*(-(Pi^2*(1 + x)*(7 - 39*x + 48*(-1 + x)*Log[2])) + 
      84*(-1 + x^2)*Zeta[3]))/3 - 
   (Pi^2*(-127 + 32*x*(15 - 24*Log[2] + 7*x*Zeta[3])))/24 - 
   x^2*(-50*Zeta[3] + 114*Zeta[5]), MI[p6n2, -3][x] -> 1/3, 
 MI[p6n2, -2][x] -> 7/3, MI[p6n2, -1][x] -> (124 + Pi^2)/12, 
 MI[p6n2, 0][x] -> (4*Pi^2*x^2*HPL[{0}, x])/3 + 16*x^2*HPL[{-3, 0}, x] - 
   8*x^2*HPL[{-2, 0}, x] - (4 - 4*x^2)*HPL[{-1, 0}, x] - 
   (8*(3 + Pi^2)*x^2*HPL[{0, 0}, x])/3 - 4*(-1 + x^2)*HPL[{1, 0}, x] + 
   8*x^2*HPL[{2, 0}, x] - 16*x^2*HPL[{3, 0}, x] - 16*x^2*HPL[{-2, 0, 0}, x] - 
   (8 - 8*x^2)*HPL[{-1, 0, 0}, x] - 8*(-1 + x^2)*HPL[{1, 0, 0}, x] + 
   16*x^2*HPL[{2, 0, 0}, x] + (2060 - Pi^2*(-75 + 8*(5 + 2*Pi^2)*x^2) + 
     140*Zeta[3])/60, MI[p6n2, 1][x] -> -(Pi^4*(173 + 384*x^2))/1440 + 
   32*Pi^2*x^2*HPL[{-3}, x] - 128*x^2*HPL[{-4, 0}, x] + 
   96*x^2*HPL[{-3, 0}, x] - 48*x^2*HPL[{-2, 0}, x] + 
   16*(-2 + x + 3*x^2)*HPL[{-1, 0}, x] - 16*(-1 + x)*(2 + 3*x)*
    HPL[{1, 0}, x] + 48*x^2*HPL[{2, 0}, x] - 96*x^2*HPL[{3, 0}, x] + 
   128*x^2*HPL[{4, 0}, x] - 64*x^2*HPL[{-3, -1, 0}, x] + 
   128*x^2*HPL[{-3, 0, 0}, x] + 128*x^2*HPL[{-3, 1, 0}, x] + 
   32*x^2*HPL[{-2, -1, 0}, x] - 96*x^2*HPL[{-2, 0, 0}, x] - 
   64*x^2*HPL[{-2, 1, 0}, x] - 16*(-1 + x^2)*HPL[{-1, -1, 0}, x] + 
   8*(1 + x)*(-7 + 9*x)*HPL[{-1, 0, 0}, x] + 
   32*(-1 + x^2)*HPL[{-1, 1, 0}, x] + (16*(9 + 4*Pi^2)*x^2*HPL[{0, 0, 0}, x])/
    3 + 32*(-1 + x^2)*HPL[{1, -1, 0}, x] - 8*(-1 + x)*(7 + 9*x)*
    HPL[{1, 0, 0}, x] - 16*(-1 + x^2)*HPL[{1, 1, 0}, x] - 
   64*x^2*HPL[{2, -1, 0}, x] + 96*x^2*HPL[{2, 0, 0}, x] + 
   32*x^2*HPL[{2, 1, 0}, x] + 128*x^2*HPL[{3, -1, 0}, x] - 
   128*x^2*HPL[{3, 0, 0}, x] - 64*x^2*HPL[{3, 1, 0}, x] + 
   32*x^2*HPL[{-2, -1, 0, 0}, x] + 96*x^2*HPL[{-2, 0, 0, 0}, x] - 
   64*x^2*HPL[{-2, 1, 0, 0}, x] - 16*(-1 + x^2)*HPL[{-1, -1, 0, 0}, x] - 
   48*(-1 + x^2)*HPL[{-1, 0, 0, 0}, x] + 32*(-1 + x^2)*
    HPL[{-1, 1, 0, 0}, x] + 32*(-1 + x^2)*HPL[{1, -1, 0, 0}, x] + 
   48*(-1 + x^2)*HPL[{1, 0, 0, 0}, x] - 16*(-1 + x^2)*HPL[{1, 1, 0, 0}, x] - 
   64*x^2*HPL[{2, -1, 0, 0}, x] - 96*x^2*HPL[{2, 0, 0, 0}, x] + 
   32*x^2*HPL[{2, 1, 0, 0}, x] - 
   (8*x^2*HPL[{0}, x]*(-15*Pi^2 + Pi^4 - 30*Zeta[3]))/15 - 
   8*(-1 + x^2)*HPL[{1}, x]*Zeta[3] + 16*x^2*HPL[{2}, x]*Zeta[3] - 
   16*x^2*HPL[{-2}, x]*(Pi^2 + Zeta[3]) + 8*(-1 + x^2)*HPL[{-1}, x]*
    (Pi^2 + Zeta[3]) - 16*x^2*HPL[{0, 0}, x]*(6 + Pi^2 + 2*Zeta[3]) + 
   (235 + 73*Zeta[3])/3 - (Pi^2*(-95 + 32*x*(-3 + x*(3 + 2*Zeta[3]))))/12 - 
   8*x^2*(2*Zeta[3] + 7*Zeta[5]), MI[p6n3, -3][x] -> 0, MI[p6n3, -2][x] -> 0, 
 MI[p6n3, -1][x] -> 2*Zeta[3], MI[p6n3, 0][x] -> 
  Pi^4/30 + Pi^2*(-2 + x)*x - (10*Pi^2*HPL[{-2}, x])/3 + 
   (5*Pi^2*(-1 + x^2)*HPL[{-1}, x])/3 - (4*Pi^2*x^2*HPL[{0}, x])/3 + 
   (Pi^2*(-1 + x^2)*HPL[{1}, x])/3 - (2*Pi^2*HPL[{2}, x])/3 + 
   8*HPL[{-3, 0}, x] + 4*(1 + x^2)*HPL[{-2, 0}, x] - 
   2*(1 + x)*(-1 + 3*x)*HPL[{-1, 0}, x] + 12*x^2*HPL[{0, 0}, x] - 
   (2 + 4*x - 6*x^2)*HPL[{1, 0}, x] - 4*(1 + x^2)*HPL[{2, 0}, x] - 
   8*HPL[{3, 0}, x] - 16*HPL[{-2, 0, 0}, x] - 8*HPL[{-2, 1, 0}, x] - 
   (8 - 8*x^2)*HPL[{-1, 0, 0}, x] - (4 - 4*x^2)*HPL[{-1, 1, 0}, x] - 
   16*x^2*HPL[{0, 0, 0}, x] - (4 - 4*x^2)*HPL[{1, -1, 0}, x] - 
   8*(-1 + x^2)*HPL[{1, 0, 0}, x] - 8*HPL[{2, -1, 0}, x] + 
   16*HPL[{2, 0, 0}, x] - 6*(-2 + x^2)*Zeta[3], 
 MI[p6n3, 1][x] -> -(Pi^4*(-2 + 9*x^2))/10 + (92*Pi^2*HPL[{-3}, x])/3 + 
   (4*Pi^2*HPL[{3}, x])/3 - 32*HPL[{-4, 0}, x] - 
   8*(-4 + x^2)*HPL[{-3, 0}, x] + (20*Pi^2*HPL[{-2, -1}, x])/3 + 
   4*(Pi^2 + 2*(4 + x*(3 + x)))*HPL[{-2, 0}, x] + 4*Pi^2*HPL[{-2, 1}, x] - 
   (10*Pi^2*(-1 + x^2)*HPL[{-1, -1}, x])/3 - 
   2*(1 + x)*(Pi^2*(-1 + x) + 4*(-3 + 7*x))*HPL[{-1, 0}, x] - 
   2*Pi^2*(-1 + x^2)*HPL[{-1, 1}, x] + (8*(42 + Pi^2)*x^2*HPL[{0, 0}, x])/3 + 
   14*Pi^2*(-1 + x^2)*HPL[{1, -1}, x] - 
   2*(-1 + x)*(5*Pi^2*(1 + x) - 4*(3 + 7*x))*HPL[{1, 0}, x] + 
   (2*Pi^2*(-1 + x^2)*HPL[{1, 1}, x])/3 - 28*Pi^2*HPL[{2, -1}, x] - 
   4*(-5*Pi^2 + 2*(4 + (-3 + x)*x))*HPL[{2, 0}, x] - 
   (4*Pi^2*HPL[{2, 1}, x])/3 + 8*(-4 + x^2)*HPL[{3, 0}, x] + 
   32*HPL[{4, 0}, x] - 48*HPL[{-3, -1, 0}, x] + 96*HPL[{-3, 0, 0}, x] + 
   112*HPL[{-3, 1, 0}, x] + 48*HPL[{-2, -2, 0}, x] - 
   8*(3 + x^2)*HPL[{-2, -1, 0}, x] - 16*(3 + x^2)*HPL[{-2, 0, 0}, x] + 
   8*(1 + 2*x^2)*HPL[{-2, 1, 0}, x] - 24*(-1 + x^2)*HPL[{-1, -2, 0}, x] + 
   4*(1 + x)*(-3 + 5*x)*HPL[{-1, -1, 0}, x] - 8*(7 + (2 - 5*x)*x)*
    HPL[{-1, 0, 0}, x] - 4*(1 + x)*(3 + 5*x)*HPL[{-1, 1, 0}, x] - 
   176*x^2*HPL[{0, 0, 0}, x] - 4*(-1 + x)*(-3 + 5*x)*HPL[{1, -1, 0}, x] - 
   8*(-1 + x)*(7 + 5*x)*HPL[{1, 0, 0}, x] + 4*(-1 + x)*(3 + 5*x)*
    HPL[{1, 1, 0}, x] - 24*(-1 + x^2)*HPL[{1, 2, 0}, x] + 
   8*(1 + 2*x^2)*HPL[{2, -1, 0}, x] + 16*(3 + x^2)*HPL[{2, 0, 0}, x] - 
   8*(3 + x^2)*HPL[{2, 1, 0}, x] + 48*HPL[{2, 2, 0}, x] + 
   112*HPL[{3, -1, 0}, x] - 96*HPL[{3, 0, 0}, x] - 48*HPL[{3, 1, 0}, x] + 
   32*HPL[{-2, -1, 0, 0}, x] + 16*HPL[{-2, -1, 1, 0}, x] + 
   64*HPL[{-2, 0, 0, 0}, x] + 80*HPL[{-2, 1, -1, 0}, x] - 
   64*HPL[{-2, 1, 0, 0}, x] - 16*HPL[{-2, 1, 1, 0}, x] - 
   16*(-1 + x^2)*HPL[{-1, -1, 0, 0}, x] - 
   8*(-1 + x^2)*HPL[{-1, -1, 1, 0}, x] - 32*(-1 + x^2)*
    HPL[{-1, 0, 0, 0}, x] - 40*(-1 + x^2)*HPL[{-1, 1, -1, 0}, x] + 
   32*(-1 + x^2)*HPL[{-1, 1, 0, 0}, x] - (8 - 8*x^2)*HPL[{-1, 1, 1, 0}, x] + 
   192*x^2*HPL[{0, 0, 0, 0}, x] - 8*(-1 + x^2)*HPL[{1, -1, -1, 0}, x] + 
   32*(-1 + x^2)*HPL[{1, -1, 0, 0}, x] + 40*(-1 + x^2)*
    HPL[{1, -1, 1, 0}, x] + 32*(-1 + x^2)*HPL[{1, 0, 0, 0}, x] - 
   (8 - 8*x^2)*HPL[{1, 1, -1, 0}, x] - 16*(-1 + x^2)*HPL[{1, 1, 0, 0}, x] + 
   16*HPL[{2, -1, -1, 0}, x] - 64*HPL[{2, -1, 0, 0}, x] - 
   80*HPL[{2, -1, 1, 0}, x] - 64*HPL[{2, 0, 0, 0}, x] - 
   16*HPL[{2, 1, -1, 0}, x] + 32*HPL[{2, 1, 0, 0}, x] - 
   HPL[{2}, x]*(Pi^2*(10/3 - 32*Log[2]) - 56*Zeta[3]) - 10*x^2*Zeta[3] + 
   (Pi^2*(56*x^2 + 96*x*(-1 + Log[4]) + 27*Zeta[3]))/6 - 
   HPL[{-2}, x]*((-2*Pi^2*(-7 + 6*x^2 + 48*Log[2]))/3 + 56*Zeta[3]) - 
   (2*x*HPL[{0}, x]*(Pi^2*(-18 + 7*x) + 12*x*Zeta[3]))/3 - 
   ((-1 + x)*HPL[{1}, x]*(Pi^2*(-9 - 5*x + 48*(1 + x)*Log[2]) + 
      84*(1 + x)*Zeta[3]))/3 - 
   (HPL[{-1}, x]*(Pi^2*(1 + x)*(27 + 5*x + 48*(-1 + x)*Log[2]) - 
      84*(-1 + x^2)*Zeta[3]))/3 + 14*(4*Zeta[3] + Zeta[5])}
