PiS5l = QQ*(-12 - 6*lmu2Q + as*(-131/2 - 34*lmu2Q - 6*lmu2Q^2 + 24*z3) + 
      as^2*(-17645/24 - (10801*lmu2Q)/24 - 106*lmu2Q^2 - (19*lmu2Q^3)/2 + 
        (511*nf)/18 + (65*lmu2Q*nf)/4 + (11*lmu2Q^2*nf)/3 + (lmu2Q^3*nf)/3 + 
        353*z3 + 117*lmu2Q*z3 - 8*nf*z3 - 4*lmu2Q*nf*z3 + (3*z4)/2 - 50*z5) + 
      as^3*(-215626549/20736 - (6163613*lmu2Q)/864 - (49349*lmu2Q^2)/24 - 
        (3535*lmu2Q^3)/12 - (285*lmu2Q^4)/16 + (26364175*nf)/31104 + 
        (46147*lmu2Q*nf)/81 + (11651*lmu2Q^2*nf)/72 + (277*lmu2Q^3*nf)/12 + 
        (17*lmu2Q^4*nf)/12 - (499069*nf^2)/46656 - (15511*lmu2Q*nf^2)/1944 - 
        (275*lmu2Q^2*nf^2)/108 - (11*lmu2Q^3*nf^2)/27 - (lmu2Q^4*nf^2)/36 + 
        (1789009*z3)/288 + (109735*lmu2Q*z3)/36 + (1755*lmu2Q^2*z3)/4 - 
        (22769*nf*z3)/72 - (524*lmu2Q*nf*z3)/3 - (59*lmu2Q^2*nf*z3)/2 + 
        (157*nf^2*z3)/108 + 2*lmu2Q*nf^2*z3 + (2*lmu2Q^2*nf^2*z3)/3 - 
        (4917*z3^2)/8 + 10*nf*z3^2 + (1645*z4)/96 + (53*nf*z4)/4 + 
        5*lmu2Q*nf*z4 - (nf^2*z4)/4 - (73565*z5)/144 - (815*lmu2Q*z5)/2 - 
        (1889*nf*z5)/36 + (50*lmu2Q*nf*z5)/3 + (10*nf^2*z5)/3 - (325*z6)/16 + 
        (665*z7)/6) + as^4*((-10811054729*lmu2Q)/82944 - 
        (49573615*lmu2Q^2)/1152 - (4548079*lmu2Q^3)/576 - 
        (51529*lmu2Q^4)/64 - (2337*lmu2Q^5)/64 + (1045811915*lmu2Q*nf)/
         62208 + (56935973*lmu2Q^2*nf)/10368 + (576623*lmu2Q^3*nf)/576 + 
        (58843*lmu2Q^4*nf)/576 + (2249*lmu2Q^5*nf)/480 - 
        (220313525*lmu2Q*nf^2)/373248 - (6209245*lmu2Q^2*nf^2)/31104 - 
        (197119*lmu2Q^3*nf^2)/5184 - (3529*lmu2Q^4*nf^2)/864 - 
        (143*lmu2Q^5*nf^2)/720 + (520771*lmu2Q*nf^3)/93312 + 
        (985*lmu2Q^2*nf^3)/486 + (275*lmu2Q^3*nf^3)/648 + 
        (11*lmu2Q^4*nf^3)/216 + (lmu2Q^5*nf^3)/360 + (3887351*lmu2Q*z3)/54 + 
        (535759*lmu2Q^2*z3)/32 + (23985*lmu2Q^3*z3)/16 - 
        (5747185*lmu2Q*nf*z3)/864 - (243511*lmu2Q^2*nf*z3)/144 - 
        (2047*lmu2Q^3*nf*z3)/12 + (11875*lmu2Q*nf^2*z3)/72 + 
        (500*lmu2Q^2*nf^2*z3)/9 + (259*lmu2Q^3*nf^2*z3)/36 - 
        (65*lmu2Q*nf^3*z3)/72 - (5*lmu2Q^2*nf^3*z3)/9 - (lmu2Q^3*nf^3*z3)/9 - 
        (458425*lmu2Q*z3^2)/72 + (2865*lmu2Q*nf*z3^2)/8 - 5*lmu2Q*nf^2*z3^2 - 
        (265*lmu2Q*z4)/3 + (9131*lmu2Q*nf*z4)/96 + 5*lmu2Q^2*nf*z4 - 
        (25*lmu2Q*nf^2*z4)/16 - (lmu2Q*nf^3*z4)/24 - (373975*lmu2Q*z5)/72 - 
        (30115*lmu2Q^2*z5)/16 - (41215*lmu2Q*nf*z5)/72 + 
        (1115*lmu2Q^2*nf*z5)/8 + (5015*lmu2Q*nf^2*z5)/72 - 
        (25*lmu2Q^2*nf^2*z5)/6 - (5*lmu2Q*nf^3*z5)/3 + (4125*lmu2Q*z6)/16 - 
        (2875*lmu2Q*nf*z6)/48 + (178045*lmu2Q*z7)/128 - 
        (665*lmu2Q*nf*z7)/12))*NF[1/(16*Pi^2)]
 
PiV5l = QQ*((20/3 + 4*lmu2Q)*trans + as*trans*(55/3 + 4*lmu2Q - 16*z3) + 
      as^2*trans*(41927/216 + (365*lmu2Q)/6 + (11*lmu2Q^2)/2 - 
        (3701*nf)/324 - (11*lmu2Q*nf)/3 - (lmu2Q^2*nf)/3 - (1658*z3)/9 - 
        44*lmu2Q*z3 + (76*nf*z3)/9 + (8*lmu2Q*nf*z3)/3 + (100*z5)/3) + 
      as^3*trans*(31431599/10368 + (87029*lmu2Q)/72 + (4321*lmu2Q^2)/24 + 
        (121*lmu2Q^3)/12 - (1863319*nf)/5184 - (7847*lmu2Q*nf)/54 - 
        (785*lmu2Q^2*nf)/36 - (11*lmu2Q^3*nf)/9 + (196513*nf^2)/23328 + 
        (302*lmu2Q*nf^2)/81 + (11*lmu2Q^2*nf^2)/18 + (lmu2Q^3*nf^2)/27 - 
        (624799*z3)/216 - 1103*lmu2Q*z3 - 121*lmu2Q^2*z3 + 
        (174421*nf*z3)/648 + (1048*lmu2Q*nf*z3)/9 + (44*lmu2Q^2*nf*z3)/3 - 
        (809*nf^2*z3)/162 - (76*lmu2Q*nf^2*z3)/27 - (4*lmu2Q^2*nf^2*z3)/9 + 
        330*z3^2 - (20*nf*z3^2)/3 + (55*z4)/12 - (55*nf*z4)/36 + 
        (1745*z5)/24 + (550*lmu2Q*z5)/3 + (1090*nf*z5)/27 - 
        (100*lmu2Q*nf*z5)/9 - (20*nf^2*z5)/9 - (665*z7)/9) + 
      as^4*trans*((144939499*lmu2Q)/5184 + (520175*lmu2Q^2)/96 + 
        (49775*lmu2Q^3)/96 + (1331*lmu2Q^4)/64 - (13044007*lmu2Q*nf)/2592 - 
        (188521*lmu2Q^2*nf)/192 - (2263*lmu2Q^3*nf)/24 - 
        (121*lmu2Q^4*nf)/32 + (1045381*lmu2Q*nf^2)/3888 + 
        (94693*lmu2Q^2*nf^2)/1728 + (593*lmu2Q^3*nf^2)/108 + 
        (11*lmu2Q^4*nf^2)/48 - (6131*lmu2Q*nf^3)/1458 - 
        (151*lmu2Q^2*nf^3)/162 - (11*lmu2Q^3*nf^3)/108 - (lmu2Q^4*nf^3)/216 - 
        (5693495*lmu2Q*z3)/216 - (38643*lmu2Q^2*z3)/8 - (1331*lmu2Q^3*z3)/4 + 
        (12205*lmu2Q*nf*z3)/3 + (9695*lmu2Q^2*nf*z3)/12 + 
        (121*lmu2Q^3*nf*z3)/2 - (40655*lmu2Q*nf^2*z3)/216 - 
        (257*lmu2Q^2*nf^2*z3)/6 - (11*lmu2Q^3*nf^2*z3)/3 + 
        (203*lmu2Q*nf^3*z3)/81 + (19*lmu2Q^2*nf^3*z3)/27 + 
        (2*lmu2Q^3*nf^3*z3)/27 + (5445*lmu2Q*z3^2)/2 - 220*lmu2Q*nf*z3^2 + 
        (10*lmu2Q*nf^2*z3^2)/3 + (65945*lmu2Q*z5)/72 + (3025*lmu2Q^2*z5)/4 + 
        (29675*lmu2Q*nf*z5)/108 - (275*lmu2Q^2*nf*z5)/3 - 
        (1040*lmu2Q*nf^2*z5)/27 + (25*lmu2Q^2*nf^2*z5)/9 + 
        (10*lmu2Q*nf^3*z5)/9 - (7315*lmu2Q*z7)/12 + (665*lmu2Q*nf*z7)/18))*
     NF[1/(16*Pi^2)]
 
PiT4l = NF[1/(16*Pi^2)]*(T1*((4*QQ)/3 + 2*lmu2Q*QQ + 
        as*((491*QQ)/54 + (14*lmu2Q*QQ)/9 - (2*lmu2Q^2*QQ)/3 - 8*QQ*z3) + 
        as^2*((556475*QQ)/5832 + (9613*lmu2Q*QQ)/648 - (92*lmu2Q^2*QQ)/27 - 
          (25*lmu2Q^3*QQ)/54 - (1334*nf*QQ)/243 - (383*lmu2Q*nf*QQ)/324 + 
          (lmu2Q^2*nf*QQ)/9 + (lmu2Q^3*nf*QQ)/27 - (2657*QQ*z3)/27 - 
          (143*lmu2Q*QQ*z3)/9 + (128*nf*QQ*z3)/27 + (4*lmu2Q*nf*QQ*z3)/3 + 
          (7*QQ*z4)/18 + (50*QQ*z5)/3) + as^3*((3539795*lmu2Q*QQ)/7776 + 
          (32315*lmu2Q^2*QQ)/1944 - (5627*lmu2Q^3*QQ)/972 - 
          (725*lmu2Q^4*QQ)/1296 - (87065*lmu2Q*nf*QQ)/1458 - 
          (269*lmu2Q^2*nf*QQ)/72 + (661*lmu2Q^3*nf*QQ)/972 + 
          (lmu2Q^4*nf*QQ)/12 + (32897*lmu2Q*nf^2*QQ)/17496 + 
          (205*lmu2Q^2*nf^2*QQ)/972 - (lmu2Q^3*nf^2*QQ)/81 - 
          (lmu2Q^4*nf^2*QQ)/324 - (436231*lmu2Q*QQ*z3)/972 - 
          (4031*lmu2Q^2*QQ*z3)/108 + (4778*lmu2Q*nf*QQ*z3)/81 + 
          (347*lmu2Q^2*nf*QQ*z3)/54 - (134*lmu2Q*nf^2*QQ*z3)/81 - 
          (2*lmu2Q^2*nf^2*QQ*z3)/9 + (29*lmu2Q*QQ*z4)/27 + 
          (5*lmu2Q*nf*QQ*z4)/9 + (2395*lmu2Q*QQ*z5)/54 - (50*lmu2Q*nf*QQ*z5)/
           9)) + ((-20*QQ)/3 - 4*lmu2Q*QQ + 
        as*((-593*QQ)/27 - (28*lmu2Q*QQ)/9 + (4*lmu2Q^2*QQ)/3 + 16*QQ*z3) + 
        as^2*((-566777*QQ)/2916 - (9613*lmu2Q*QQ)/324 + (184*lmu2Q^2*QQ)/27 + 
          (25*lmu2Q^3*QQ)/27 + (2666*nf*QQ)/243 + (383*lmu2Q*nf*QQ)/162 - 
          (2*lmu2Q^2*nf*QQ)/9 - (2*lmu2Q^3*nf*QQ)/27 + (5300*QQ*z3)/27 + 
          (286*lmu2Q*QQ*z3)/9 - (256*nf*QQ*z3)/27 - (8*lmu2Q*nf*QQ*z3)/3 - 
          (7*QQ*z4)/9 - (100*QQ*z5)/3) + as^3*((-3539795*lmu2Q*QQ)/3888 - 
          (32315*lmu2Q^2*QQ)/972 + (5627*lmu2Q^3*QQ)/486 + 
          (725*lmu2Q^4*QQ)/648 + (87065*lmu2Q*nf*QQ)/729 + 
          (269*lmu2Q^2*nf*QQ)/36 - (661*lmu2Q^3*nf*QQ)/486 - 
          (lmu2Q^4*nf*QQ)/6 - (32897*lmu2Q*nf^2*QQ)/8748 - 
          (205*lmu2Q^2*nf^2*QQ)/486 + (2*lmu2Q^3*nf^2*QQ)/81 + 
          (lmu2Q^4*nf^2*QQ)/162 + (436231*lmu2Q*QQ*z3)/486 + 
          (4031*lmu2Q^2*QQ*z3)/54 - (9556*lmu2Q*nf*QQ*z3)/81 - 
          (347*lmu2Q^2*nf*QQ*z3)/27 + (268*lmu2Q*nf^2*QQ*z3)/81 + 
          (4*lmu2Q^2*nf^2*QQ*z3)/9 - (58*lmu2Q*QQ*z4)/27 - 
          (10*lmu2Q*nf*QQ*z4)/9 - (2395*lmu2Q*QQ*z5)/27 + 
          (100*lmu2Q*nf*QQ*z5)/9))*T2[Q])
