#In the list-of-lists below L[m][n] is the Ising polynomial for m by n torodial rectangle
#in the varaibles z and w for 1<=m<=4 and 1<=n<=30

L := [[z^2/w + w*z^2, 2 + z^4/w^2 + w^2*z^4, (3*z^2)/w + 3*w*z^2 + z^6/w^3 +
   w^3*z^6, 2 + 4*z^4 + (4*z^4)/w^2 + 4*w^2*z^4 + z^8/w^4 + w^4*z^8,
  (5*z^2)/w + 5*w*z^2 + (5*z^6)/w^3 + (5*z^6)/w + 5*w*z^6 + 5*w^3*z^6 +
   z^10/w^5 + w^5*z^10, 2 + 12*z^4 + (9*z^4)/w^2 + 9*w^2*z^4 + 6*z^8 +
   (6*z^8)/w^4 + (6*z^8)/w^2 + 6*w^2*z^8 + 6*w^4*z^8 + z^12/w^6 + w^6*z^12,
  (7*z^2)/w + 7*w*z^2 + (14*z^6)/w^3 + (21*z^6)/w + 21*w*z^6 + 14*w^3*z^6 +
   (7*z^10)/w^5 + (7*z^10)/w^3 + (7*z^10)/w + 7*w*z^10 + 7*w^3*z^10 +
   7*w^5*z^10 + z^14/w^7 + w^7*z^14, 2 + 24*z^4 + (16*z^4)/w^2 + 16*w^2*z^4 +
   36*z^8 + (20*z^8)/w^4 + (32*z^8)/w^2 + 32*w^2*z^8 + 20*w^4*z^8 + 8*z^12 +
   (8*z^12)/w^6 + (8*z^12)/w^4 + (8*z^12)/w^2 + 8*w^2*z^12 + 8*w^4*z^12 +
   8*w^6*z^12 + z^16/w^8 + w^8*z^16, (9*z^2)/w + 9*w*z^2 + (30*z^6)/w^3 +
   (54*z^6)/w + 54*w*z^6 + 30*w^3*z^6 + (27*z^10)/w^5 + (45*z^10)/w^3 +
   (54*z^10)/w + 54*w*z^10 + 45*w^3*z^10 + 27*w^5*z^10 + (9*z^14)/w^7 +
   (9*z^14)/w^5 + (9*z^14)/w^3 + (9*z^14)/w + 9*w*z^14 + 9*w^3*z^14 +
   9*w^5*z^14 + 9*w^7*z^14 + z^18/w^9 + w^9*z^18,
  2 + 40*z^4 + (25*z^4)/w^2 + 25*w^2*z^4 + 120*z^8 + (50*z^8)/w^4 +
   (100*z^8)/w^2 + 100*w^2*z^8 + 50*w^4*z^8 + 80*z^12 + (35*z^12)/w^6 +
   (60*z^12)/w^4 + (75*z^12)/w^2 + 75*w^2*z^12 + 60*w^4*z^12 + 35*w^6*z^12 +
   10*z^16 + (10*z^16)/w^8 + (10*z^16)/w^6 + (10*z^16)/w^4 + (10*z^16)/w^2 +
   10*w^2*z^16 + 10*w^4*z^16 + 10*w^6*z^16 + 10*w^8*z^16 + z^20/w^10 +
   w^10*z^20, (11*w^10*z^2 + 11*w^12*z^2 + 55*w^8*z^6 + 110*w^10*z^6 +
    110*w^12*z^6 + 55*w^14*z^6 + 77*w^6*z^10 + 165*w^8*z^10 + 220*w^10*z^10 +
    220*w^12*z^10 + 165*w^14*z^10 + 77*w^16*z^10 + 44*w^4*z^14 +
    77*w^6*z^14 + 99*w^8*z^14 + 110*w^10*z^14 + 110*w^12*z^14 +
    99*w^14*z^14 + 77*w^16*z^14 + 44*w^18*z^14 + 11*w^2*z^18 + 11*w^4*z^18 +
    11*w^6*z^18 + 11*w^8*z^18 + 11*w^10*z^18 + 11*w^12*z^18 + 11*w^14*z^18 +
    11*w^16*z^18 + 11*w^18*z^18 + 11*w^20*z^18 + z^22 + w^22*z^22)/w^11,
  (2*w^12 + 36*w^10*z^4 + 60*w^12*z^4 + 36*w^14*z^4 + 105*w^8*z^8 +
    240*w^10*z^8 + 300*w^12*z^8 + 240*w^14*z^8 + 105*w^16*z^8 +
    112*w^6*z^12 + 252*w^8*z^12 + 360*w^10*z^12 + 400*w^12*z^12 +
    360*w^14*z^12 + 252*w^16*z^12 + 112*w^18*z^12 + 54*w^4*z^16 +
    96*w^6*z^16 + 126*w^8*z^16 + 144*w^10*z^16 + 150*w^12*z^16 +
    144*w^14*z^16 + 126*w^16*z^16 + 96*w^18*z^16 + 54*w^20*z^16 +
    12*w^2*z^20 + 12*w^4*z^20 + 12*w^6*z^20 + 12*w^8*z^20 + 12*w^10*z^20 +
    12*w^12*z^20 + 12*w^14*z^20 + 12*w^16*z^20 + 12*w^18*z^20 +
    12*w^20*z^20 + 12*w^22*z^20 + z^24 + w^24*z^24)/w^12,
  (13*w^12*z^2 + 13*w^14*z^2 + 91*w^10*z^6 + 195*w^12*z^6 + 195*w^14*z^6 +
    91*w^16*z^6 + 182*w^8*z^10 + 455*w^10*z^10 + 650*w^12*z^10 +
    650*w^14*z^10 + 455*w^16*z^10 + 182*w^18*z^10 + 156*w^6*z^14 +
    364*w^8*z^14 + 546*w^10*z^14 + 650*w^12*z^14 + 650*w^14*z^14 +
    546*w^16*z^14 + 364*w^18*z^14 + 156*w^20*z^14 + 65*w^4*z^18 +
    117*w^6*z^18 + 156*w^8*z^18 + 182*w^10*z^18 + 195*w^12*z^18 +
    195*w^14*z^18 + 182*w^16*z^18 + 156*w^18*z^18 + 117*w^20*z^18 +
    65*w^22*z^18 + 13*w^2*z^22 + 13*w^4*z^22 + 13*w^6*z^22 + 13*w^8*z^22 +
    13*w^10*z^22 + 13*w^12*z^22 + 13*w^14*z^22 + 13*w^16*z^22 +
    13*w^18*z^22 + 13*w^20*z^22 + 13*w^22*z^22 + 13*w^24*z^22 + z^26 +
    w^26*z^26)/w^13, (2*w^14 + 49*w^12*z^4 + 84*w^14*z^4 + 49*w^16*z^4 +
    196*w^10*z^8 + 490*w^12*z^8 + 630*w^14*z^8 + 490*w^16*z^8 +
    196*w^18*z^8 + 294*w^8*z^12 + 784*w^10*z^12 + 1225*w^12*z^12 +
    1400*w^14*z^12 + 1225*w^16*z^12 + 784*w^18*z^12 + 294*w^20*z^12 +
    210*w^6*z^16 + 504*w^8*z^16 + 784*w^10*z^16 + 980*w^12*z^16 +
    1050*w^14*z^16 + 980*w^16*z^16 + 784*w^18*z^16 + 504*w^20*z^16 +
    210*w^22*z^16 + 77*w^4*z^20 + 140*w^6*z^20 + 189*w^8*z^20 +
    224*w^10*z^20 + 245*w^12*z^20 + 252*w^14*z^20 + 245*w^16*z^20 +
    224*w^18*z^20 + 189*w^20*z^20 + 140*w^22*z^20 + 77*w^24*z^20 +
    14*w^2*z^24 + 14*w^4*z^24 + 14*w^6*z^24 + 14*w^8*z^24 + 14*w^10*z^24 +
    14*w^12*z^24 + 14*w^14*z^24 + 14*w^16*z^24 + 14*w^18*z^24 +
    14*w^20*z^24 + 14*w^22*z^24 + 14*w^24*z^24 + 14*w^26*z^24 + z^28 +
    w^28*z^28)/w^14, (15*w^14*z^2 + 15*w^16*z^2 + 140*w^12*z^6 +
    315*w^14*z^6 + 315*w^16*z^6 + 140*w^18*z^6 + 378*w^10*z^10 +
    1050*w^12*z^10 + 1575*w^14*z^10 + 1575*w^16*z^10 + 1050*w^18*z^10 +
    378*w^20*z^10 + 450*w^8*z^14 + 1260*w^10*z^14 + 2100*w^12*z^14 +
    2625*w^14*z^14 + 2625*w^16*z^14 + 2100*w^18*z^14 + 1260*w^20*z^14 +
    450*w^22*z^14 + 275*w^6*z^18 + 675*w^8*z^18 + 1080*w^10*z^18 +
    1400*w^12*z^18 + 1575*w^14*z^18 + 1575*w^16*z^18 + 1400*w^18*z^18 +
    1080*w^20*z^18 + 675*w^22*z^18 + 275*w^24*z^18 + 90*w^4*z^22 +
    165*w^6*z^22 + 225*w^8*z^22 + 270*w^10*z^22 + 300*w^12*z^22 +
    315*w^14*z^22 + 315*w^16*z^22 + 300*w^18*z^22 + 270*w^20*z^22 +
    225*w^22*z^22 + 165*w^24*z^22 + 90*w^26*z^22 + 15*w^2*z^26 +
    15*w^4*z^26 + 15*w^6*z^26 + 15*w^8*z^26 + 15*w^10*z^26 + 15*w^12*z^26 +
    15*w^14*z^26 + 15*w^16*z^26 + 15*w^18*z^26 + 15*w^20*z^26 +
    15*w^22*z^26 + 15*w^24*z^26 + 15*w^26*z^26 + 15*w^28*z^26 + z^30 +
    w^30*z^30)/w^15, (2*w^16 + 64*w^14*z^4 + 112*w^16*z^4 + 64*w^18*z^4 +
    336*w^12*z^8 + 896*w^14*z^8 + 1176*w^16*z^8 + 896*w^18*z^8 +
    336*w^20*z^8 + 672*w^10*z^12 + 2016*w^12*z^12 + 3360*w^14*z^12 +
    3920*w^16*z^12 + 3360*w^18*z^12 + 2016*w^20*z^12 + 672*w^22*z^12 +
    660*w^8*z^16 + 1920*w^10*z^16 + 3360*w^12*z^16 + 4480*w^14*z^16 +
    4900*w^16*z^16 + 4480*w^18*z^16 + 3360*w^20*z^16 + 1920*w^22*z^16 +
    660*w^24*z^16 + 352*w^6*z^20 + 880*w^8*z^20 + 1440*w^10*z^20 +
    1920*w^12*z^20 + 2240*w^14*z^20 + 2352*w^16*z^20 + 2240*w^18*z^20 +
    1920*w^20*z^20 + 1440*w^22*z^20 + 880*w^24*z^20 + 352*w^26*z^20 +
    104*w^4*z^24 + 192*w^6*z^24 + 264*w^8*z^24 + 320*w^10*z^24 +
    360*w^12*z^24 + 384*w^14*z^24 + 392*w^16*z^24 + 384*w^18*z^24 +
    360*w^20*z^24 + 320*w^22*z^24 + 264*w^24*z^24 + 192*w^26*z^24 +
    104*w^28*z^24 + 16*w^2*z^28 + 16*w^4*z^28 + 16*w^6*z^28 + 16*w^8*z^28 +
    16*w^10*z^28 + 16*w^12*z^28 + 16*w^14*z^28 + 16*w^16*z^28 +
    16*w^18*z^28 + 16*w^20*z^28 + 16*w^22*z^28 + 16*w^24*z^28 +
    16*w^26*z^28 + 16*w^28*z^28 + 16*w^30*z^28 + z^32 + w^32*z^32)/w^16,
  (17*w^16*z^2 + 17*w^18*z^2 + 204*w^14*z^6 + 476*w^16*z^6 + 476*w^18*z^6 +
    204*w^20*z^6 + 714*w^12*z^10 + 2142*w^14*z^10 + 3332*w^16*z^10 +
    3332*w^18*z^10 + 2142*w^20*z^10 + 714*w^22*z^10 + 1122*w^10*z^14 +
    3570*w^12*z^14 + 6426*w^14*z^14 + 8330*w^16*z^14 + 8330*w^18*z^14 +
    6426*w^20*z^14 + 3570*w^22*z^14 + 1122*w^24*z^14 + 935*w^8*z^18 +
    2805*w^10*z^18 + 5100*w^12*z^18 + 7140*w^14*z^18 + 8330*w^16*z^18 +
    8330*w^18*z^18 + 7140*w^20*z^18 + 5100*w^22*z^18 + 2805*w^24*z^18 +
    935*w^26*z^18 + 442*w^6*z^22 + 1122*w^8*z^22 + 1870*w^10*z^22 +
    2550*w^12*z^22 + 3060*w^14*z^22 + 3332*w^16*z^22 + 3332*w^18*z^22 +
    3060*w^20*z^22 + 2550*w^22*z^22 + 1870*w^24*z^22 + 1122*w^26*z^22 +
    442*w^28*z^22 + 119*w^4*z^26 + 221*w^6*z^26 + 306*w^8*z^26 +
    374*w^10*z^26 + 425*w^12*z^26 + 459*w^14*z^26 + 476*w^16*z^26 +
    476*w^18*z^26 + 459*w^20*z^26 + 425*w^22*z^26 + 374*w^24*z^26 +
    306*w^26*z^26 + 221*w^28*z^26 + 119*w^30*z^26 + 17*w^2*z^30 +
    17*w^4*z^30 + 17*w^6*z^30 + 17*w^8*z^30 + 17*w^10*z^30 + 17*w^12*z^30 +
    17*w^14*z^30 + 17*w^16*z^30 + 17*w^18*z^30 + 17*w^20*z^30 +
    17*w^22*z^30 + 17*w^24*z^30 + 17*w^26*z^30 + 17*w^28*z^30 +
    17*w^30*z^30 + 17*w^32*z^30 + z^34 + w^34*z^34)/w^17,
  (2*w^18 + 81*w^16*z^4 + 144*w^18*z^4 + 81*w^20*z^4 + 540*w^14*z^8 +
    1512*w^16*z^8 + 2016*w^18*z^8 + 1512*w^20*z^8 + 540*w^22*z^8 +
    1386*w^12*z^12 + 4536*w^14*z^12 + 7938*w^16*z^12 + 9408*w^18*z^12 +
    7938*w^20*z^12 + 4536*w^22*z^12 + 1386*w^24*z^12 + 1782*w^10*z^16 +
    5940*w^12*z^16 + 11340*w^14*z^16 + 15876*w^16*z^16 + 17640*w^18*z^16 +
    15876*w^20*z^16 + 11340*w^22*z^16 + 5940*w^24*z^16 + 1782*w^26*z^16 +
    1287*w^8*z^20 + 3960*w^10*z^20 + 7425*w^12*z^20 + 10800*w^14*z^20 +
    13230*w^16*z^20 + 14112*w^18*z^20 + 13230*w^20*z^20 + 10800*w^22*z^20 +
    7425*w^24*z^20 + 3960*w^26*z^20 + 1287*w^28*z^20 + 546*w^6*z^24 +
    1404*w^8*z^24 + 2376*w^10*z^24 + 3300*w^12*z^24 + 4050*w^14*z^24 +
    4536*w^16*z^24 + 4704*w^18*z^24 + 4536*w^20*z^24 + 4050*w^22*z^24 +
    3300*w^24*z^24 + 2376*w^26*z^24 + 1404*w^28*z^24 + 546*w^30*z^24 +
    135*w^4*z^28 + 252*w^6*z^28 + 351*w^8*z^28 + 432*w^10*z^28 +
    495*w^12*z^28 + 540*w^14*z^28 + 567*w^16*z^28 + 576*w^18*z^28 +
    567*w^20*z^28 + 540*w^22*z^28 + 495*w^24*z^28 + 432*w^26*z^28 +
    351*w^28*z^28 + 252*w^30*z^28 + 135*w^32*z^28 + 18*w^2*z^32 +
    18*w^4*z^32 + 18*w^6*z^32 + 18*w^8*z^32 + 18*w^10*z^32 + 18*w^12*z^32 +
    18*w^14*z^32 + 18*w^16*z^32 + 18*w^18*z^32 + 18*w^20*z^32 +
    18*w^22*z^32 + 18*w^24*z^32 + 18*w^26*z^32 + 18*w^28*z^32 +
    18*w^30*z^32 + 18*w^32*z^32 + 18*w^34*z^32 + z^36 + w^36*z^36)/w^18,
  (19*w^18*z^2 + 19*w^20*z^2 + 285*w^16*z^6 + 684*w^18*z^6 + 684*w^20*z^6 +
    285*w^22*z^6 + 1254*w^14*z^10 + 3990*w^16*z^10 + 6384*w^18*z^10 +
    6384*w^20*z^10 + 3990*w^22*z^10 + 1254*w^24*z^10 + 2508*w^12*z^14 +
    8778*w^14*z^14 + 16758*w^16*z^14 + 22344*w^18*z^14 + 22344*w^20*z^14 +
    16758*w^22*z^14 + 8778*w^24*z^14 + 2508*w^26*z^14 + 2717*w^10*z^18 +
    9405*w^12*z^18 + 18810*w^14*z^18 + 27930*w^16*z^18 + 33516*w^18*z^18 +
    33516*w^20*z^18 + 27930*w^22*z^18 + 18810*w^24*z^18 + 9405*w^26*z^18 +
    2717*w^28*z^18 + 1729*w^8*z^22 + 5434*w^10*z^22 + 10450*w^12*z^22 +
    15675*w^14*z^22 + 19950*w^16*z^22 + 22344*w^18*z^22 + 22344*w^20*z^22 +
    19950*w^22*z^22 + 15675*w^24*z^22 + 10450*w^26*z^22 + 5434*w^28*z^22 +
    1729*w^30*z^22 + 665*w^6*z^26 + 1729*w^8*z^26 + 2964*w^10*z^26 +
    4180*w^12*z^26 + 5225*w^14*z^26 + 5985*w^16*z^26 + 6384*w^18*z^26 +
    6384*w^20*z^26 + 5985*w^22*z^26 + 5225*w^24*z^26 + 4180*w^26*z^26 +
    2964*w^28*z^26 + 1729*w^30*z^26 + 665*w^32*z^26 + 152*w^4*z^30 +
    285*w^6*z^30 + 399*w^8*z^30 + 494*w^10*z^30 + 570*w^12*z^30 +
    627*w^14*z^30 + 665*w^16*z^30 + 684*w^18*z^30 + 684*w^20*z^30 +
    665*w^22*z^30 + 627*w^24*z^30 + 570*w^26*z^30 + 494*w^28*z^30 +
    399*w^30*z^30 + 285*w^32*z^30 + 152*w^34*z^30 + 19*w^2*z^34 +
    19*w^4*z^34 + 19*w^6*z^34 + 19*w^8*z^34 + 19*w^10*z^34 + 19*w^12*z^34 +
    19*w^14*z^34 + 19*w^16*z^34 + 19*w^18*z^34 + 19*w^20*z^34 +
    19*w^22*z^34 + 19*w^24*z^34 + 19*w^26*z^34 + 19*w^28*z^34 +
    19*w^30*z^34 + 19*w^32*z^34 + 19*w^34*z^34 + 19*w^36*z^34 + z^38 +
    w^38*z^38)/w^19, (2*w^20 + 100*w^18*z^4 + 180*w^20*z^4 + 100*w^22*z^4 +
    825*w^16*z^8 + 2400*w^18*z^8 + 3240*w^20*z^8 + 2400*w^22*z^8 +
    825*w^24*z^8 + 2640*w^14*z^12 + 9240*w^16*z^12 + 16800*w^18*z^12 +
    20160*w^20*z^12 + 16800*w^22*z^12 + 9240*w^24*z^12 + 2640*w^26*z^12 +
    4290*w^12*z^16 + 15840*w^14*z^16 + 32340*w^16*z^16 + 47040*w^18*z^16 +
    52920*w^20*z^16 + 47040*w^22*z^16 + 32340*w^24*z^16 + 15840*w^26*z^16 +
    4290*w^28*z^16 + 4004*w^10*z^20 + 14300*w^12*z^20 + 29700*w^14*z^20 +
    46200*w^16*z^20 + 58800*w^18*z^20 + 63504*w^20*z^20 + 58800*w^22*z^20 +
    46200*w^24*z^20 + 29700*w^26*z^20 + 14300*w^28*z^20 + 4004*w^30*z^20 +
    2275*w^8*z^24 + 7280*w^10*z^24 + 14300*w^12*z^24 + 22000*w^14*z^24 +
    28875*w^16*z^24 + 33600*w^18*z^24 + 35280*w^20*z^24 + 33600*w^22*z^24 +
    28875*w^24*z^24 + 22000*w^26*z^24 + 14300*w^28*z^24 + 7280*w^30*z^24 +
    2275*w^32*z^24 + 800*w^6*z^28 + 2100*w^8*z^28 + 3640*w^10*z^28 +
    5200*w^12*z^28 + 6600*w^14*z^28 + 7700*w^16*z^28 + 8400*w^18*z^28 +
    8640*w^20*z^28 + 8400*w^22*z^28 + 7700*w^24*z^28 + 6600*w^26*z^28 +
    5200*w^28*z^28 + 3640*w^30*z^28 + 2100*w^32*z^28 + 800*w^34*z^28 +
    170*w^4*z^32 + 320*w^6*z^32 + 450*w^8*z^32 + 560*w^10*z^32 +
    650*w^12*z^32 + 720*w^14*z^32 + 770*w^16*z^32 + 800*w^18*z^32 +
    810*w^20*z^32 + 800*w^22*z^32 + 770*w^24*z^32 + 720*w^26*z^32 +
    650*w^28*z^32 + 560*w^30*z^32 + 450*w^32*z^32 + 320*w^34*z^32 +
    170*w^36*z^32 + 20*w^2*z^36 + 20*w^4*z^36 + 20*w^6*z^36 + 20*w^8*z^36 +
    20*w^10*z^36 + 20*w^12*z^36 + 20*w^14*z^36 + 20*w^16*z^36 +
    20*w^18*z^36 + 20*w^20*z^36 + 20*w^22*z^36 + 20*w^24*z^36 +
    20*w^26*z^36 + 20*w^28*z^36 + 20*w^30*z^36 + 20*w^32*z^36 +
    20*w^34*z^36 + 20*w^36*z^36 + 20*w^38*z^36 + z^40 + w^40*z^40)/w^20,
  (21*w^20*z^2 + 21*w^22*z^2 + 385*w^18*z^6 + 945*w^20*z^6 + 945*w^22*z^6 +
    385*w^24*z^6 + 2079*w^16*z^10 + 6930*w^18*z^10 + 11340*w^20*z^10 +
    11340*w^22*z^10 + 6930*w^24*z^10 + 2079*w^26*z^10 + 5148*w^14*z^14 +
    19404*w^16*z^14 + 38808*w^18*z^14 + 52920*w^20*z^14 + 52920*w^22*z^14 +
    38808*w^24*z^14 + 19404*w^26*z^14 + 5148*w^28*z^14 + 7007*w^12*z^18 +
    27027*w^14*z^18 + 58212*w^16*z^18 + 90552*w^18*z^18 + 111132*w^20*z^18 +
    111132*w^22*z^18 + 90552*w^24*z^18 + 58212*w^26*z^18 + 27027*w^28*z^18 +
    7007*w^30*z^18 + 5733*w^10*z^22 + 21021*w^12*z^22 + 45045*w^14*z^22 +
    72765*w^16*z^22 + 97020*w^18*z^22 + 111132*w^20*z^22 + 111132*w^22*z^22 +
    97020*w^24*z^22 + 72765*w^26*z^22 + 45045*w^28*z^22 + 21021*w^30*z^22 +
    5733*w^32*z^22 + 2940*w^8*z^26 + 9555*w^10*z^26 + 19110*w^12*z^26 +
    30030*w^14*z^26 + 40425*w^16*z^26 + 48510*w^18*z^26 + 52920*w^20*z^26 +
    52920*w^22*z^26 + 48510*w^24*z^26 + 40425*w^26*z^26 + 30030*w^28*z^26 +
    19110*w^30*z^26 + 9555*w^32*z^26 + 2940*w^34*z^26 + 952*w^6*z^30 +
    2520*w^8*z^30 + 4410*w^10*z^30 + 6370*w^12*z^30 + 8190*w^14*z^30 +
    9702*w^16*z^30 + 10780*w^18*z^30 + 11340*w^20*z^30 + 11340*w^22*z^30 +
    10780*w^24*z^30 + 9702*w^26*z^30 + 8190*w^28*z^30 + 6370*w^30*z^30 +
    4410*w^32*z^30 + 2520*w^34*z^30 + 952*w^36*z^30 + 189*w^4*z^34 +
    357*w^6*z^34 + 504*w^8*z^34 + 630*w^10*z^34 + 735*w^12*z^34 +
    819*w^14*z^34 + 882*w^16*z^34 + 924*w^18*z^34 + 945*w^20*z^34 +
    945*w^22*z^34 + 924*w^24*z^34 + 882*w^26*z^34 + 819*w^28*z^34 +
    735*w^30*z^34 + 630*w^32*z^34 + 504*w^34*z^34 + 357*w^36*z^34 +
    189*w^38*z^34 + 21*w^2*z^38 + 21*w^4*z^38 + 21*w^6*z^38 + 21*w^8*z^38 +
    21*w^10*z^38 + 21*w^12*z^38 + 21*w^14*z^38 + 21*w^16*z^38 +
    21*w^18*z^38 + 21*w^20*z^38 + 21*w^22*z^38 + 21*w^24*z^38 +
    21*w^26*z^38 + 21*w^28*z^38 + 21*w^30*z^38 + 21*w^32*z^38 +
    21*w^34*z^38 + 21*w^36*z^38 + 21*w^38*z^38 + 21*w^40*z^38 + z^42 +
    w^42*z^42)/w^21, (2*w^22 + 121*w^20*z^4 + 220*w^22*z^4 + 121*w^24*z^4 +
    1210*w^18*z^8 + 3630*w^20*z^8 + 4950*w^22*z^8 + 3630*w^24*z^8 +
    1210*w^26*z^8 + 4719*w^16*z^12 + 17424*w^18*z^12 + 32670*w^20*z^12 +
    39600*w^22*z^12 + 32670*w^24*z^12 + 17424*w^26*z^12 + 4719*w^28*z^12 +
    9438*w^14*z^16 + 37752*w^16*z^16 + 81312*w^18*z^16 + 121968*w^20*z^16 +
    138600*w^22*z^16 + 121968*w^24*z^16 + 81312*w^26*z^16 + 37752*w^28*z^16 +
    9438*w^30*z^16 + 11011*w^12*z^20 + 44044*w^14*z^20 + 99099*w^16*z^20 +
    162624*w^18*z^20 + 213444*w^20*z^20 + 232848*w^22*z^20 +
    213444*w^24*z^20 + 162624*w^26*z^20 + 99099*w^28*z^20 + 44044*w^30*z^20 +
    11011*w^32*z^20 + 8008*w^10*z^24 + 30030*w^12*z^24 + 66066*w^14*z^24 +
    110110*w^16*z^24 + 152460*w^18*z^24 + 182952*w^20*z^24 +
    194040*w^22*z^24 + 182952*w^24*z^24 + 152460*w^26*z^24 +
    110110*w^28*z^24 + 66066*w^30*z^24 + 30030*w^32*z^24 + 8008*w^34*z^24 +
    3740*w^8*z^28 + 12320*w^10*z^28 + 25025*w^12*z^28 + 40040*w^14*z^28 +
    55055*w^16*z^28 + 67760*w^18*z^28 + 76230*w^20*z^28 + 79200*w^22*z^28 +
    76230*w^24*z^28 + 67760*w^26*z^28 + 55055*w^28*z^28 + 40040*w^30*z^28 +
    25025*w^32*z^28 + 12320*w^34*z^28 + 3740*w^36*z^28 + 1122*w^6*z^32 +
    2992*w^8*z^32 + 5280*w^10*z^32 + 7700*w^12*z^32 + 10010*w^14*z^32 +
    12012*w^16*z^32 + 13552*w^18*z^32 + 14520*w^20*z^32 + 14850*w^22*z^32 +
    14520*w^24*z^32 + 13552*w^26*z^32 + 12012*w^28*z^32 + 10010*w^30*z^32 +
    7700*w^32*z^32 + 5280*w^34*z^32 + 2992*w^36*z^32 + 1122*w^38*z^32 +
    209*w^4*z^36 + 396*w^6*z^36 + 561*w^8*z^36 + 704*w^10*z^36 +
    825*w^12*z^36 + 924*w^14*z^36 + 1001*w^16*z^36 + 1056*w^18*z^36 +
    1089*w^20*z^36 + 1100*w^22*z^36 + 1089*w^24*z^36 + 1056*w^26*z^36 +
    1001*w^28*z^36 + 924*w^30*z^36 + 825*w^32*z^36 + 704*w^34*z^36 +
    561*w^36*z^36 + 396*w^38*z^36 + 209*w^40*z^36 + 22*w^2*z^40 +
    22*w^4*z^40 + 22*w^6*z^40 + 22*w^8*z^40 + 22*w^10*z^40 + 22*w^12*z^40 +
    22*w^14*z^40 + 22*w^16*z^40 + 22*w^18*z^40 + 22*w^20*z^40 +
    22*w^22*z^40 + 22*w^24*z^40 + 22*w^26*z^40 + 22*w^28*z^40 +
    22*w^30*z^40 + 22*w^32*z^40 + 22*w^34*z^40 + 22*w^36*z^40 +
    22*w^38*z^40 + 22*w^40*z^40 + 22*w^42*z^40 + z^44 + w^44*z^44)/w^22,
  (23*w^22*z^2 + 23*w^24*z^2 + 506*w^20*z^6 + 1265*w^22*z^6 + 1265*w^24*z^6 +
    506*w^26*z^6 + 3289*w^18*z^10 + 11385*w^20*z^10 + 18975*w^22*z^10 +
    18975*w^24*z^10 + 11385*w^26*z^10 + 3289*w^28*z^10 + 9867*w^16*z^14 +
    39468*w^18*z^14 + 81972*w^20*z^14 + 113850*w^22*z^14 + 113850*w^24*z^14 +
    81972*w^26*z^14 + 39468*w^28*z^14 + 9867*w^30*z^14 + 16445*w^14*z^18 +
    69069*w^16*z^18 + 157872*w^18*z^18 + 255024*w^20*z^18 +
    318780*w^22*z^18 + 318780*w^24*z^18 + 255024*w^26*z^18 +
    157872*w^28*z^18 + 69069*w^30*z^18 + 16445*w^32*z^18 + 16744*w^12*z^22 +
    69069*w^14*z^22 + 161161*w^16*z^22 + 276276*w^18*z^22 +
    382536*w^20*z^22 + 446292*w^22*z^22 + 446292*w^24*z^22 +
    382536*w^26*z^22 + 276276*w^28*z^22 + 161161*w^30*z^22 +
    69069*w^32*z^22 + 16744*w^34*z^22 + 10948*w^10*z^26 + 41860*w^12*z^26 +
    94185*w^14*z^26 + 161161*w^16*z^26 + 230230*w^18*z^26 +
    286902*w^20*z^26 + 318780*w^22*z^26 + 318780*w^24*z^26 +
    286902*w^26*z^26 + 230230*w^28*z^26 + 161161*w^30*z^26 +
    94185*w^32*z^26 + 41860*w^34*z^26 + 10948*w^36*z^26 + 4692*w^8*z^30 +
    15640*w^10*z^30 + 32200*w^12*z^30 + 52325*w^14*z^30 + 73255*w^16*z^30 +
    92092*w^18*z^30 + 106260*w^20*z^30 + 113850*w^22*z^30 +
    113850*w^24*z^30 + 106260*w^26*z^30 + 92092*w^28*z^30 + 73255*w^30*z^30 +
    52325*w^32*z^30 + 32200*w^34*z^30 + 15640*w^36*z^30 + 4692*w^38*z^30 +
    1311*w^6*z^34 + 3519*w^8*z^34 + 6256*w^10*z^34 + 9200*w^12*z^34 +
    12075*w^14*z^34 + 14651*w^16*z^34 + 16744*w^18*z^34 + 18216*w^20*z^34 +
    18975*w^22*z^34 + 18975*w^24*z^34 + 18216*w^26*z^34 + 16744*w^28*z^34 +
    14651*w^30*z^34 + 12075*w^32*z^34 + 9200*w^34*z^34 + 6256*w^36*z^34 +
    3519*w^38*z^34 + 1311*w^40*z^34 + 230*w^4*z^38 + 437*w^6*z^38 +
    621*w^8*z^38 + 782*w^10*z^38 + 920*w^12*z^38 + 1035*w^14*z^38 +
    1127*w^16*z^38 + 1196*w^18*z^38 + 1242*w^20*z^38 + 1265*w^22*z^38 +
    1265*w^24*z^38 + 1242*w^26*z^38 + 1196*w^28*z^38 + 1127*w^30*z^38 +
    1035*w^32*z^38 + 920*w^34*z^38 + 782*w^36*z^38 + 621*w^38*z^38 +
    437*w^40*z^38 + 230*w^42*z^38 + 23*w^2*z^42 + 23*w^4*z^42 + 23*w^6*z^42 +
    23*w^8*z^42 + 23*w^10*z^42 + 23*w^12*z^42 + 23*w^14*z^42 + 23*w^16*z^42 +
    23*w^18*z^42 + 23*w^20*z^42 + 23*w^22*z^42 + 23*w^24*z^42 +
    23*w^26*z^42 + 23*w^28*z^42 + 23*w^30*z^42 + 23*w^32*z^42 +
    23*w^34*z^42 + 23*w^36*z^42 + 23*w^38*z^42 + 23*w^40*z^42 +
    23*w^42*z^42 + 23*w^44*z^42 + z^46 + w^46*z^46)/w^23,
  (2*w^24 + 144*w^22*z^4 + 264*w^24*z^4 + 144*w^26*z^4 + 1716*w^20*z^8 +
    5280*w^22*z^8 + 7260*w^24*z^8 + 5280*w^26*z^8 + 1716*w^28*z^8 +
    8008*w^18*z^12 + 30888*w^20*z^12 + 59400*w^22*z^12 + 72600*w^24*z^12 +
    59400*w^26*z^12 + 30888*w^28*z^12 + 8008*w^30*z^12 + 19305*w^16*z^16 +
    82368*w^18*z^16 + 185328*w^20*z^16 + 285120*w^22*z^16 +
    326700*w^24*z^16 + 285120*w^26*z^16 + 185328*w^28*z^16 +
    82368*w^30*z^16 + 19305*w^32*z^16 + 27456*w^14*z^20 + 120120*w^16*z^20 +
    288288*w^18*z^20 + 494208*w^20*z^20 + 665280*w^22*z^20 +
    731808*w^24*z^20 + 665280*w^26*z^20 + 494208*w^28*z^20 +
    288288*w^30*z^20 + 120120*w^32*z^20 + 27456*w^34*z^20 + 24752*w^12*z^24 +
    104832*w^14*z^24 + 252252*w^16*z^24 + 448448*w^18*z^24 +
    648648*w^20*z^24 + 798336*w^22*z^24 + 853776*w^24*z^24 +
    798336*w^26*z^24 + 648648*w^28*z^24 + 448448*w^30*z^24 +
    252252*w^32*z^24 + 104832*w^34*z^24 + 24752*w^36*z^24 + 14688*w^10*z^28 +
    57120*w^12*z^28 + 131040*w^14*z^28 + 229320*w^16*z^28 +
    336336*w^18*z^28 + 432432*w^20*z^28 + 498960*w^22*z^28 +
    522720*w^24*z^28 + 498960*w^26*z^28 + 432432*w^28*z^28 +
    336336*w^30*z^28 + 229320*w^32*z^28 + 131040*w^34*z^28 +
    57120*w^36*z^28 + 14688*w^38*z^28 + 5814*w^8*z^32 + 19584*w^10*z^32 +
    40800*w^12*z^32 + 67200*w^14*z^32 + 95550*w^16*z^32 + 122304*w^18*z^32 +
    144144*w^20*z^32 + 158400*w^22*z^32 + 163350*w^24*z^32 +
    158400*w^26*z^32 + 144144*w^28*z^32 + 122304*w^30*z^32 +
    95550*w^32*z^32 + 67200*w^34*z^32 + 40800*w^36*z^32 + 19584*w^38*z^32 +
    5814*w^40*z^32 + 1520*w^6*z^36 + 4104*w^8*z^36 + 7344*w^10*z^36 +
    10880*w^12*z^36 + 14400*w^14*z^36 + 17640*w^16*z^36 + 20384*w^18*z^36 +
    22464*w^20*z^36 + 23760*w^22*z^36 + 24200*w^24*z^36 + 23760*w^26*z^36 +
    22464*w^28*z^36 + 20384*w^30*z^36 + 17640*w^32*z^36 + 14400*w^34*z^36 +
    10880*w^36*z^36 + 7344*w^38*z^36 + 4104*w^40*z^36 + 1520*w^42*z^36 +
    252*w^4*z^40 + 480*w^6*z^40 + 684*w^8*z^40 + 864*w^10*z^40 +
    1020*w^12*z^40 + 1152*w^14*z^40 + 1260*w^16*z^40 + 1344*w^18*z^40 +
    1404*w^20*z^40 + 1440*w^22*z^40 + 1452*w^24*z^40 + 1440*w^26*z^40 +
    1404*w^28*z^40 + 1344*w^30*z^40 + 1260*w^32*z^40 + 1152*w^34*z^40 +
    1020*w^36*z^40 + 864*w^38*z^40 + 684*w^40*z^40 + 480*w^42*z^40 +
    252*w^44*z^40 + 24*w^2*z^44 + 24*w^4*z^44 + 24*w^6*z^44 + 24*w^8*z^44 +
    24*w^10*z^44 + 24*w^12*z^44 + 24*w^14*z^44 + 24*w^16*z^44 +
    24*w^18*z^44 + 24*w^20*z^44 + 24*w^22*z^44 + 24*w^24*z^44 +
    24*w^26*z^44 + 24*w^28*z^44 + 24*w^30*z^44 + 24*w^32*z^44 +
    24*w^34*z^44 + 24*w^36*z^44 + 24*w^38*z^44 + 24*w^40*z^44 +
    24*w^42*z^44 + 24*w^44*z^44 + 24*w^46*z^44 + z^48 + w^48*z^48)/w^24,
  (25*w^24*z^2 + 25*w^26*z^2 + 650*w^22*z^6 + 1650*w^24*z^6 + 1650*w^26*z^6 +
    650*w^28*z^6 + 5005*w^20*z^10 + 17875*w^22*z^10 + 30250*w^24*z^10 +
    30250*w^26*z^10 + 17875*w^28*z^10 + 5005*w^30*z^10 + 17875*w^18*z^14 +
    75075*w^20*z^14 + 160875*w^22*z^14 + 226875*w^24*z^14 +
    226875*w^26*z^14 + 160875*w^28*z^14 + 75075*w^30*z^14 + 17875*w^32*z^14 +
    35750*w^16*z^18 + 160875*w^18*z^18 + 386100*w^20*z^18 +
    643500*w^22*z^18 + 816750*w^24*z^18 + 816750*w^26*z^18 +
    643500*w^28*z^18 + 386100*w^30*z^18 + 160875*w^32*z^18 +
    35750*w^34*z^18 + 44200*w^14*z^22 + 200200*w^16*z^22 + 500500*w^18*z^22 +
    900900*w^20*z^22 + 1287000*w^22*z^22 + 1524600*w^24*z^22 +
    1524600*w^26*z^22 + 1287000*w^28*z^22 + 900900*w^30*z^22 +
    500500*w^32*z^22 + 200200*w^34*z^22 + 44200*w^36*z^22 + 35700*w^12*z^26 +
    154700*w^14*z^26 + 382200*w^16*z^26 + 700700*w^18*z^26 +
    1051050*w^20*z^26 + 1351350*w^22*z^26 + 1524600*w^24*z^26 +
    1524600*w^26*z^26 + 1351350*w^28*z^26 + 1051050*w^30*z^26 +
    700700*w^32*z^26 + 382200*w^34*z^26 + 154700*w^36*z^26 +
    35700*w^38*z^26 + 19380*w^10*z^30 + 76500*w^12*z^30 + 178500*w^14*z^30 +
    318500*w^16*z^30 + 477750*w^18*z^30 + 630630*w^20*z^30 +
    750750*w^22*z^30 + 816750*w^24*z^30 + 816750*w^26*z^30 +
    750750*w^28*z^30 + 630630*w^30*z^30 + 477750*w^32*z^30 +
    318500*w^34*z^30 + 178500*w^36*z^30 + 76500*w^38*z^30 + 19380*w^40*z^30 +
    7125*w^8*z^34 + 24225*w^10*z^34 + 51000*w^12*z^34 + 85000*w^14*z^34 +
    122500*w^16*z^34 + 159250*w^18*z^34 + 191100*w^20*z^34 +
    214500*w^22*z^34 + 226875*w^24*z^34 + 226875*w^26*z^34 +
    214500*w^28*z^34 + 191100*w^30*z^34 + 159250*w^32*z^34 +
    122500*w^34*z^34 + 85000*w^36*z^34 + 51000*w^38*z^34 + 24225*w^40*z^34 +
    7125*w^42*z^34 + 1750*w^6*z^38 + 4750*w^8*z^38 + 8550*w^10*z^38 +
    12750*w^12*z^38 + 17000*w^14*z^38 + 21000*w^16*z^38 + 24500*w^18*z^38 +
    27300*w^20*z^38 + 29250*w^22*z^38 + 30250*w^24*z^38 + 30250*w^26*z^38 +
    29250*w^28*z^38 + 27300*w^30*z^38 + 24500*w^32*z^38 + 21000*w^34*z^38 +
    17000*w^36*z^38 + 12750*w^38*z^38 + 8550*w^40*z^38 + 4750*w^42*z^38 +
    1750*w^44*z^38 + 275*w^4*z^42 + 525*w^6*z^42 + 750*w^8*z^42 +
    950*w^10*z^42 + 1125*w^12*z^42 + 1275*w^14*z^42 + 1400*w^16*z^42 +
    1500*w^18*z^42 + 1575*w^20*z^42 + 1625*w^22*z^42 + 1650*w^24*z^42 +
    1650*w^26*z^42 + 1625*w^28*z^42 + 1575*w^30*z^42 + 1500*w^32*z^42 +
    1400*w^34*z^42 + 1275*w^36*z^42 + 1125*w^38*z^42 + 950*w^40*z^42 +
    750*w^42*z^42 + 525*w^44*z^42 + 275*w^46*z^42 + 25*w^2*z^46 +
    25*w^4*z^46 + 25*w^6*z^46 + 25*w^8*z^46 + 25*w^10*z^46 + 25*w^12*z^46 +
    25*w^14*z^46 + 25*w^16*z^46 + 25*w^18*z^46 + 25*w^20*z^46 +
    25*w^22*z^46 + 25*w^24*z^46 + 25*w^26*z^46 + 25*w^28*z^46 +
    25*w^30*z^46 + 25*w^32*z^46 + 25*w^34*z^46 + 25*w^36*z^46 +
    25*w^38*z^46 + 25*w^40*z^46 + 25*w^42*z^46 + 25*w^44*z^46 +
    25*w^46*z^46 + 25*w^48*z^46 + z^50 + w^50*z^50)/w^25,
  (2*w^26 + 169*w^24*z^4 + 312*w^26*z^4 + 169*w^28*z^4 + 2366*w^22*z^8 +
    7436*w^24*z^8 + 10296*w^26*z^8 + 7436*w^28*z^8 + 2366*w^30*z^8 +
    13013*w^20*z^12 + 52052*w^22*z^12 + 102245*w^24*z^12 + 125840*w^26*z^12 +
    102245*w^28*z^12 + 52052*w^30*z^12 + 13013*w^32*z^12 + 37180*w^18*z^16 +
    167310*w^20*z^16 + 390390*w^22*z^16 + 613470*w^24*z^16 +
    707850*w^26*z^16 + 613470*w^28*z^16 + 390390*w^30*z^16 +
    167310*w^32*z^16 + 37180*w^34*z^16 + 63206*w^16*z^20 + 297440*w^18*z^20 +
    752895*w^20*z^20 + 1338480*w^22*z^20 + 1840410*w^24*z^20 +
    2038608*w^26*z^20 + 1840410*w^28*z^20 + 1338480*w^30*z^20 +
    752895*w^32*z^20 + 297440*w^34*z^20 + 63206*w^36*z^20 + 68952*w^14*z^24 +
    321776*w^16*z^24 + 832832*w^18*z^24 + 1561560*w^20*z^24 +
    2342340*w^22*z^24 + 2944656*w^24*z^24 + 3171168*w^26*z^24 +
    2944656*w^28*z^24 + 2342340*w^30*z^24 + 1561560*w^32*z^24 +
    832832*w^34*z^24 + 321776*w^36*z^24 + 68952*w^38*z^24 + 50388*w^12*z^28 +
    222768*w^14*z^28 + 563108*w^16*z^28 + 1059968*w^18*z^28 +
    1639638*w^20*z^28 + 2186184*w^22*z^28 + 2576574*w^24*z^28 +
    2718144*w^26*z^28 + 2576574*w^28*z^28 + 2186184*w^30*z^28 +
    1639638*w^32*z^28 + 1059968*w^34*z^28 + 563108*w^36*z^28 +
    222768*w^38*z^28 + 50388*w^40*z^28 + 25194*w^10*z^32 + 100776*w^12*z^32 +
    238680*w^14*z^32 + 433160*w^16*z^32 + 662480*w^18*z^32 +
    894348*w^20*z^32 + 1093092*w^22*z^32 + 1226940*w^24*z^32 +
    1274130*w^26*z^32 + 1226940*w^28*z^32 + 1093092*w^30*z^32 +
    894348*w^32*z^32 + 662480*w^34*z^32 + 433160*w^36*z^32 +
    238680*w^38*z^32 + 100776*w^40*z^32 + 25194*w^42*z^32 + 8645*w^8*z^36 +
    29640*w^10*z^36 + 62985*w^12*z^36 + 106080*w^14*z^36 + 154700*w^16*z^36 +
    203840*w^18*z^36 + 248430*w^20*z^36 + 283920*w^22*z^36 +
    306735*w^24*z^36 + 314600*w^26*z^36 + 306735*w^28*z^36 +
    283920*w^30*z^36 + 248430*w^32*z^36 + 203840*w^34*z^36 +
    154700*w^36*z^36 + 106080*w^38*z^36 + 62985*w^40*z^36 + 29640*w^42*z^36 +
    8645*w^44*z^36 + 2002*w^6*z^40 + 5460*w^8*z^40 + 9880*w^10*z^40 +
    14820*w^12*z^40 + 19890*w^14*z^40 + 24752*w^16*z^40 + 29120*w^18*z^40 +
    32760*w^20*z^40 + 35490*w^22*z^40 + 37180*w^24*z^40 + 37752*w^26*z^40 +
    37180*w^28*z^40 + 35490*w^30*z^40 + 32760*w^32*z^40 + 29120*w^34*z^40 +
    24752*w^36*z^40 + 19890*w^38*z^40 + 14820*w^40*z^40 + 9880*w^42*z^40 +
    5460*w^44*z^40 + 2002*w^46*z^40 + 299*w^4*z^44 + 572*w^6*z^44 +
    819*w^8*z^44 + 1040*w^10*z^44 + 1235*w^12*z^44 + 1404*w^14*z^44 +
    1547*w^16*z^44 + 1664*w^18*z^44 + 1755*w^20*z^44 + 1820*w^22*z^44 +
    1859*w^24*z^44 + 1872*w^26*z^44 + 1859*w^28*z^44 + 1820*w^30*z^44 +
    1755*w^32*z^44 + 1664*w^34*z^44 + 1547*w^36*z^44 + 1404*w^38*z^44 +
    1235*w^40*z^44 + 1040*w^42*z^44 + 819*w^44*z^44 + 572*w^46*z^44 +
    299*w^48*z^44 + 26*w^2*z^48 + 26*w^4*z^48 + 26*w^6*z^48 + 26*w^8*z^48 +
    26*w^10*z^48 + 26*w^12*z^48 + 26*w^14*z^48 + 26*w^16*z^48 +
    26*w^18*z^48 + 26*w^20*z^48 + 26*w^22*z^48 + 26*w^24*z^48 +
    26*w^26*z^48 + 26*w^28*z^48 + 26*w^30*z^48 + 26*w^32*z^48 +
    26*w^34*z^48 + 26*w^36*z^48 + 26*w^38*z^48 + 26*w^40*z^48 +
    26*w^42*z^48 + 26*w^44*z^48 + 26*w^46*z^48 + 26*w^48*z^48 +
    26*w^50*z^48 + z^52 + w^52*z^52)/w^26,
  (27*w^26*z^2 + 27*w^28*z^2 + 819*w^24*z^6 + 2106*w^26*z^6 + 2106*w^28*z^6 +
    819*w^30*z^6 + 7371*w^22*z^10 + 27027*w^24*z^10 + 46332*w^26*z^10 +
    46332*w^28*z^10 + 27027*w^30*z^10 + 7371*w^32*z^10 + 30888*w^20*z^14 +
    135135*w^22*z^14 + 297297*w^24*z^14 + 424710*w^26*z^14 +
    424710*w^28*z^14 + 297297*w^30*z^14 + 135135*w^32*z^14 +
    30888*w^34*z^14 + 72930*w^18*z^18 + 347490*w^20*z^18 + 868725*w^22*z^18 +
    1486485*w^24*z^18 + 1911195*w^26*z^18 + 1911195*w^28*z^18 +
    1486485*w^30*z^18 + 868725*w^32*z^18 + 347490*w^34*z^18 +
    72930*w^36*z^18 + 107406*w^16*z^22 + 525096*w^18*z^22 +
    1389960*w^20*z^22 + 2606175*w^22*z^22 + 3822390*w^24*z^22 +
    4586868*w^26*z^22 + 4586868*w^28*z^22 + 3822390*w^30*z^22 +
    2606175*w^32*z^22 + 1389960*w^34*z^22 + 525096*w^36*z^22 +
    107406*w^38*z^22 + 104652*w^14*z^26 + 501228*w^16*z^26 +
    1336608*w^18*z^26 + 2594592*w^20*z^26 + 4054050*w^22*z^26 +
    5351346*w^24*z^26 + 6115824*w^26*z^26 + 6115824*w^28*z^26 +
    5351346*w^30*z^26 + 4054050*w^32*z^26 + 2594592*w^34*z^26 +
    1336608*w^36*z^26 + 501228*w^38*z^26 + 104652*w^40*z^26 +
    69768*w^12*z^30 + 313956*w^14*z^30 + 809676*w^16*z^30 +
    1559376*w^18*z^30 + 2476656*w^20*z^30 + 3405402*w^22*z^30 +
    4162158*w^24*z^30 + 4586868*w^26*z^30 + 4586868*w^28*z^30 +
    4162158*w^30*z^30 + 3405402*w^32*z^30 + 2476656*w^34*z^30 +
    1559376*w^36*z^30 + 809676*w^38*z^30 + 313956*w^40*z^30 +
    69768*w^42*z^30 + 32319*w^10*z^34 + 130815*w^12*z^34 + 313956*w^14*z^34 +
    578340*w^16*z^34 + 899640*w^18*z^34 + 1238328*w^20*z^34 +
    1547910*w^22*z^34 + 1783782*w^24*z^34 + 1911195*w^26*z^34 +
    1911195*w^28*z^34 + 1783782*w^30*z^34 + 1547910*w^32*z^34 +
    1238328*w^34*z^34 + 899640*w^36*z^34 + 578340*w^38*z^34 +
    313956*w^40*z^34 + 130815*w^42*z^34 + 32319*w^44*z^34 + 10395*w^8*z^38 +
    35910*w^10*z^38 + 76950*w^12*z^38 + 130815*w^14*z^38 + 192780*w^16*z^38 +
    257040*w^18*z^38 + 317520*w^20*z^38 + 368550*w^22*z^38 +
    405405*w^24*z^38 + 424710*w^26*z^38 + 424710*w^28*z^38 +
    405405*w^30*z^38 + 368550*w^32*z^38 + 317520*w^34*z^38 +
    257040*w^36*z^38 + 192780*w^38*z^38 + 130815*w^40*z^38 +
    76950*w^42*z^38 + 35910*w^44*z^38 + 10395*w^46*z^38 + 2277*w^6*z^42 +
    6237*w^8*z^42 + 11340*w^10*z^42 + 17100*w^12*z^42 + 23085*w^14*z^42 +
    28917*w^16*z^42 + 34272*w^18*z^42 + 38880*w^20*z^42 + 42525*w^22*z^42 +
    45045*w^24*z^42 + 46332*w^26*z^42 + 46332*w^28*z^42 + 45045*w^30*z^42 +
    42525*w^32*z^42 + 38880*w^34*z^42 + 34272*w^36*z^42 + 28917*w^38*z^42 +
    23085*w^40*z^42 + 17100*w^42*z^42 + 11340*w^44*z^42 + 6237*w^46*z^42 +
    2277*w^48*z^42 + 324*w^4*z^46 + 621*w^6*z^46 + 891*w^8*z^46 +
    1134*w^10*z^46 + 1350*w^12*z^46 + 1539*w^14*z^46 + 1701*w^16*z^46 +
    1836*w^18*z^46 + 1944*w^20*z^46 + 2025*w^22*z^46 + 2079*w^24*z^46 +
    2106*w^26*z^46 + 2106*w^28*z^46 + 2079*w^30*z^46 + 2025*w^32*z^46 +
    1944*w^34*z^46 + 1836*w^36*z^46 + 1701*w^38*z^46 + 1539*w^40*z^46 +
    1350*w^42*z^46 + 1134*w^44*z^46 + 891*w^46*z^46 + 621*w^48*z^46 +
    324*w^50*z^46 + 27*w^2*z^50 + 27*w^4*z^50 + 27*w^6*z^50 + 27*w^8*z^50 +
    27*w^10*z^50 + 27*w^12*z^50 + 27*w^14*z^50 + 27*w^16*z^50 +
    27*w^18*z^50 + 27*w^20*z^50 + 27*w^22*z^50 + 27*w^24*z^50 +
    27*w^26*z^50 + 27*w^28*z^50 + 27*w^30*z^50 + 27*w^32*z^50 +
    27*w^34*z^50 + 27*w^36*z^50 + 27*w^38*z^50 + 27*w^40*z^50 +
    27*w^42*z^50 + 27*w^44*z^50 + 27*w^46*z^50 + 27*w^48*z^50 +
    27*w^50*z^50 + 27*w^52*z^50 + z^54 + w^54*z^54)/w^27,
  (2*w^28 + 196*w^26*z^4 + 364*w^28*z^4 + 196*w^30*z^4 + 3185*w^24*z^8 +
    10192*w^26*z^8 + 14196*w^28*z^8 + 10192*w^30*z^8 + 3185*w^32*z^8 +
    20384*w^22*z^12 + 84084*w^24*z^12 + 168168*w^26*z^12 + 208208*w^28*z^12 +
    168168*w^30*z^12 + 84084*w^32*z^12 + 20384*w^34*z^12 + 68068*w^20*z^16 +
    320320*w^22*z^16 + 770770*w^24*z^16 + 1233232*w^26*z^16 +
    1431430*w^28*z^16 + 1233232*w^30*z^16 + 770770*w^32*z^16 +
    320320*w^34*z^16 + 68068*w^36*z^16 + 136136*w^18*z^20 +
    680680*w^20*z^20 + 1801800*w^22*z^20 + 3303300*w^24*z^20 +
    4624620*w^26*z^20 + 5153148*w^28*z^20 + 4624620*w^30*z^20 +
    3303300*w^32*z^20 + 1801800*w^34*z^20 + 680680*w^36*z^20 +
    136136*w^38*z^20 + 176358*w^16*z^24 + 891072*w^18*z^24 +
    2450448*w^20*z^24 + 4804800*w^22*z^24 + 7432425*w^24*z^24 +
    9513504*w^26*z^24 + 10306296*w^28*z^24 + 9513504*w^30*z^24 +
    7432425*w^32*z^24 + 4804800*w^34*z^24 + 2450448*w^36*z^24 +
    891072*w^38*z^24 + 176358*w^40*z^24 + 155040*w^14*z^28 +
    759696*w^16*z^28 + 2079168*w^18*z^28 + 4158336*w^20*z^28 +
    6726720*w^22*z^28 + 9249240*w^24*z^28 + 11099088*w^26*z^28 +
    11778624*w^28*z^28 + 11099088*w^30*z^28 + 9249240*w^32*z^28 +
    6726720*w^34*z^28 + 4158336*w^36*z^28 + 2079168*w^38*z^28 +
    759696*w^40*z^28 + 155040*w^42*z^28 + 94962*w^12*z^32 +
    434112*w^14*z^32 + 1139544*w^16*z^32 + 2239104*w^18*z^32 +
    3638544*w^20*z^32 + 5136768*w^22*z^32 + 6474468*w^24*z^32 +
    7399392*w^26*z^32 + 7729722*w^28*z^32 + 7399392*w^30*z^32 +
    6474468*w^32*z^32 + 5136768*w^34*z^32 + 3638544*w^36*z^32 +
    2239104*w^38*z^32 + 1139544*w^40*z^32 + 434112*w^42*z^32 +
    94962*w^44*z^32 + 40964*w^10*z^36 + 167580*w^12*z^36 + 406980*w^14*z^36 +
    759696*w^16*z^36 + 1199520*w^18*z^36 + 1679328*w^20*z^36 +
    2140320*w^22*z^36 + 2522520*w^24*z^36 + 2774772*w^26*z^36 +
    2862860*w^28*z^36 + 2774772*w^30*z^36 + 2522520*w^32*z^36 +
    2140320*w^34*z^36 + 1679328*w^36*z^36 + 1199520*w^38*z^36 +
    759696*w^40*z^36 + 406980*w^42*z^36 + 167580*w^44*z^36 +
    40964*w^46*z^36 + 12397*w^8*z^40 + 43120*w^10*z^40 + 93100*w^12*z^40 +
    159600*w^14*z^40 + 237405*w^16*z^40 + 319872*w^18*z^40 +
    399840*w^20*z^40 + 470400*w^22*z^40 + 525525*w^24*z^40 +
    560560*w^26*z^40 + 572572*w^28*z^40 + 560560*w^30*z^40 +
    525525*w^32*z^40 + 470400*w^34*z^40 + 399840*w^36*z^40 +
    319872*w^38*z^40 + 237405*w^40*z^40 + 159600*w^42*z^40 +
    93100*w^44*z^40 + 43120*w^46*z^40 + 12397*w^48*z^40 + 2576*w^6*z^44 +
    7084*w^8*z^44 + 12936*w^10*z^44 + 19600*w^12*z^44 + 26600*w^14*z^44 +
    33516*w^16*z^44 + 39984*w^18*z^44 + 45696*w^20*z^44 + 50400*w^22*z^44 +
    53900*w^24*z^44 + 56056*w^26*z^44 + 56784*w^28*z^44 + 56056*w^30*z^44 +
    53900*w^32*z^44 + 50400*w^34*z^44 + 45696*w^36*z^44 + 39984*w^38*z^44 +
    33516*w^40*z^44 + 26600*w^42*z^44 + 19600*w^44*z^44 + 12936*w^46*z^44 +
    7084*w^48*z^44 + 2576*w^50*z^44 + 350*w^4*z^48 + 672*w^6*z^48 +
    966*w^8*z^48 + 1232*w^10*z^48 + 1470*w^12*z^48 + 1680*w^14*z^48 +
    1862*w^16*z^48 + 2016*w^18*z^48 + 2142*w^20*z^48 + 2240*w^22*z^48 +
    2310*w^24*z^48 + 2352*w^26*z^48 + 2366*w^28*z^48 + 2352*w^30*z^48 +
    2310*w^32*z^48 + 2240*w^34*z^48 + 2142*w^36*z^48 + 2016*w^38*z^48 +
    1862*w^40*z^48 + 1680*w^42*z^48 + 1470*w^44*z^48 + 1232*w^46*z^48 +
    966*w^48*z^48 + 672*w^50*z^48 + 350*w^52*z^48 + 28*w^2*z^52 +
    28*w^4*z^52 + 28*w^6*z^52 + 28*w^8*z^52 + 28*w^10*z^52 + 28*w^12*z^52 +
    28*w^14*z^52 + 28*w^16*z^52 + 28*w^18*z^52 + 28*w^20*z^52 +
    28*w^22*z^52 + 28*w^24*z^52 + 28*w^26*z^52 + 28*w^28*z^52 +
    28*w^30*z^52 + 28*w^32*z^52 + 28*w^34*z^52 + 28*w^36*z^52 +
    28*w^38*z^52 + 28*w^40*z^52 + 28*w^42*z^52 + 28*w^44*z^52 +
    28*w^46*z^52 + 28*w^48*z^52 + 28*w^50*z^52 + 28*w^52*z^52 +
    28*w^54*z^52 + z^56 + w^56*z^56)/w^28,
  (29*w^28*z^2 + 29*w^30*z^2 + 1015*w^26*z^6 + 2639*w^28*z^6 +
    2639*w^30*z^6 + 1015*w^32*z^6 + 10556*w^24*z^10 + 39585*w^26*z^10 +
    68614*w^28*z^10 + 68614*w^30*z^10 + 39585*w^32*z^10 + 10556*w^34*z^10 +
    51272*w^22*z^14 + 232232*w^24*z^14 + 522522*w^26*z^14 +
    754754*w^28*z^14 + 754754*w^30*z^14 + 522522*w^32*z^14 +
    232232*w^34*z^14 + 51272*w^36*z^14 + 140998*w^20*z^18 +
    704990*w^22*z^18 + 1824680*w^24*z^18 + 3193190*w^26*z^18 +
    4151147*w^28*z^18 + 4151147*w^30*z^18 + 3193190*w^32*z^18 +
    1824680*w^34*z^18 + 704990*w^36*z^18 + 140998*w^38*z^18 +
    243542*w^18*z^22 + 1268982*w^20*z^22 + 3524950*w^22*z^22 +
    6842550*w^24*z^22 + 10263825*w^26*z^22 + 12453441*w^28*z^22 +
    12453441*w^30*z^22 + 10263825*w^32*z^22 + 6842550*w^34*z^22 +
    3524950*w^36*z^22 + 1268982*w^38*z^22 + 243542*w^40*z^22 +
    281010*w^16*z^26 + 1461252*w^18*z^26 + 4153032*w^20*z^26 +
    8459880*w^22*z^26 + 13685100*w^24*z^26 + 18474885*w^26*z^26 +
    21348756*w^28*z^26 + 21348756*w^30*z^26 + 18474885*w^32*z^26 +
    13685100*w^34*z^26 + 8459880*w^36*z^26 + 4153032*w^38*z^26 +
    1461252*w^40*z^26 + 281010*w^42*z^26 + 224808*w^14*z^30 +
    1124040*w^16*z^30 + 3147312*w^18*z^30 + 6460272*w^20*z^30 +
    10767120*w^22*z^30 + 15327312*w^24*z^30 + 19159140*w^26*z^30 +
    21348756*w^28*z^30 + 21348756*w^30*z^30 + 19159140*w^32*z^30 +
    15327312*w^34*z^30 + 10767120*w^36*z^30 + 6460272*w^38*z^30 +
    3147312*w^40*z^30 + 1124040*w^42*z^30 + 224808*w^44*z^30 +
    127281*w^12*z^34 + 590121*w^14*z^34 + 1573656*w^16*z^34 +
    3147312*w^18*z^34 + 5217912*w^20*z^34 + 7536984*w^22*z^34 +
    9753744*w^24*z^34 + 11495484*w^26*z^34 + 12453441*w^28*z^34 +
    12453441*w^30*z^34 + 11495484*w^32*z^34 + 9753744*w^34*z^34 +
    7536984*w^36*z^34 + 5217912*w^38*z^34 + 3147312*w^40*z^34 +
    1573656*w^42*z^34 + 590121*w^44*z^34 + 127281*w^46*z^34 +
    51359*w^10*z^38 + 212135*w^12*z^38 + 520695*w^14*z^38 +
    983535*w^16*z^38 + 1573656*w^18*z^38 + 2236248*w^20*z^38 +
    2898840*w^22*z^38 + 3483480*w^24*z^38 + 3918915*w^26*z^38 +
    4151147*w^28*z^38 + 4151147*w^30*z^38 + 3918915*w^32*z^38 +
    3483480*w^34*z^38 + 2898840*w^36*z^38 + 2236248*w^38*z^38 +
    1573656*w^40*z^38 + 983535*w^42*z^38 + 520695*w^44*z^38 +
    212135*w^46*z^38 + 51359*w^48*z^38 + 14674*w^8*z^42 + 51359*w^10*z^42 +
    111650*w^12*z^42 + 192850*w^14*z^42 + 289275*w^16*z^42 +
    393414*w^18*z^42 + 496944*w^20*z^42 + 591600*w^22*z^42 +
    669900*w^24*z^42 + 725725*w^26*z^42 + 754754*w^28*z^42 +
    754754*w^30*z^42 + 725725*w^32*z^42 + 669900*w^34*z^42 +
    591600*w^36*z^42 + 496944*w^38*z^42 + 393414*w^40*z^42 +
    289275*w^42*z^42 + 192850*w^44*z^42 + 111650*w^46*z^42 +
    51359*w^48*z^42 + 14674*w^50*z^42 + 2900*w^6*z^46 + 8004*w^8*z^46 +
    14674*w^10*z^46 + 22330*w^12*z^46 + 30450*w^14*z^46 + 38570*w^16*z^46 +
    46284*w^18*z^46 + 53244*w^20*z^46 + 59160*w^22*z^46 + 63800*w^24*z^46 +
    66990*w^26*z^46 + 68614*w^28*z^46 + 68614*w^30*z^46 + 66990*w^32*z^46 +
    63800*w^34*z^46 + 59160*w^36*z^46 + 53244*w^38*z^46 + 46284*w^40*z^46 +
    38570*w^42*z^46 + 30450*w^44*z^46 + 22330*w^46*z^46 + 14674*w^48*z^46 +
    8004*w^50*z^46 + 2900*w^52*z^46 + 377*w^4*z^50 + 725*w^6*z^50 +
    1044*w^8*z^50 + 1334*w^10*z^50 + 1595*w^12*z^50 + 1827*w^14*z^50 +
    2030*w^16*z^50 + 2204*w^18*z^50 + 2349*w^20*z^50 + 2465*w^22*z^50 +
    2552*w^24*z^50 + 2610*w^26*z^50 + 2639*w^28*z^50 + 2639*w^30*z^50 +
    2610*w^32*z^50 + 2552*w^34*z^50 + 2465*w^36*z^50 + 2349*w^38*z^50 +
    2204*w^40*z^50 + 2030*w^42*z^50 + 1827*w^44*z^50 + 1595*w^46*z^50 +
    1334*w^48*z^50 + 1044*w^50*z^50 + 725*w^52*z^50 + 377*w^54*z^50 +
    29*w^2*z^54 + 29*w^4*z^54 + 29*w^6*z^54 + 29*w^8*z^54 + 29*w^10*z^54 +
    29*w^12*z^54 + 29*w^14*z^54 + 29*w^16*z^54 + 29*w^18*z^54 +
    29*w^20*z^54 + 29*w^22*z^54 + 29*w^24*z^54 + 29*w^26*z^54 +
    29*w^28*z^54 + 29*w^30*z^54 + 29*w^32*z^54 + 29*w^34*z^54 +
    29*w^36*z^54 + 29*w^38*z^54 + 29*w^40*z^54 + 29*w^42*z^54 +
    29*w^44*z^54 + 29*w^46*z^54 + 29*w^48*z^54 + 29*w^50*z^54 +
    29*w^52*z^54 + 29*w^54*z^54 + 29*w^56*z^54 + z^58 + w^58*z^58)/w^29,
  (2*w^30 + 225*w^28*z^4 + 420*w^30*z^4 + 225*w^32*z^4 + 4200*w^26*z^8 +
    13650*w^28*z^8 + 19110*w^30*z^8 + 13650*w^32*z^8 + 4200*w^34*z^8 +
    30940*w^24*z^12 + 131040*w^26*z^12 + 266175*w^28*z^12 +
    331240*w^30*z^12 + 266175*w^32*z^12 + 131040*w^34*z^12 +
    30940*w^36*z^12 + 119340*w^22*z^16 + 583440*w^24*z^16 +
    1441440*w^26*z^16 + 2342340*w^28*z^16 + 2732730*w^30*z^16 +
    2342340*w^32*z^16 + 1441440*w^34*z^16 + 583440*w^36*z^16 +
    119340*w^38*z^16 + 277134*w^20*z^20 + 1458600*w^22*z^20 +
    4011150*w^24*z^20 + 7550400*w^26*z^20 + 10735725*w^28*z^20 +
    12024012*w^30*z^20 + 10735725*w^32*z^20 + 7550400*w^34*z^20 +
    4011150*w^36*z^20 + 1458600*w^38*z^20 + 277134*w^40*z^20 +
    419900*w^18*z^24 + 2267460*w^20*z^24 + 6563700*w^22*z^24 +
    13370500*w^24*z^24 + 21235500*w^26*z^24 + 27606150*w^28*z^24 +
    30060030*w^30*z^24 + 27606150*w^32*z^24 + 21235500*w^34*z^24 +
    13370500*w^36*z^24 + 6563700*w^38*z^24 + 2267460*w^40*z^24 +
    419900*w^42*z^24 + 436050*w^16*z^28 + 2325600*w^18*z^28 +
    6802380*w^20*z^28 + 14320800*w^22*z^28 + 24066900*w^24*z^28 +
    33976800*w^26*z^28 + 41409225*w^28*z^28 + 44169840*w^30*z^28 +
    41409225*w^32*z^28 + 33976800*w^34*z^28 + 24066900*w^36*z^28 +
    14320800*w^38*z^28 + 6802380*w^40*z^28 + 2325600*w^42*z^28 +
    436050*w^44*z^28 + 319770*w^14*z^32 + 1627920*w^16*z^32 +
    4651200*w^18*z^32 + 9767520*w^20*z^32 + 16707600*w^22*z^32 +
    24504480*w^24*z^32 + 31711680*w^26*z^32 + 36808200*w^28*z^32 +
    38648610*w^30*z^32 + 36808200*w^32*z^32 + 31711680*w^34*z^32 +
    24504480*w^36*z^32 + 16707600*w^38*z^32 + 9767520*w^40*z^32 +
    4651200*w^42*z^32 + 1627920*w^44*z^32 + 319770*w^46*z^32 +
    168245*w^12*z^36 + 790020*w^14*z^36 + 2136645*w^16*z^36 +
    4341120*w^18*z^36 + 7325640*w^20*z^36 + 10795680*w^22*z^36 +
    14294280*w^24*z^36 + 17297280*w^26*z^36 + 19324305*w^28*z^36 +
    20040020*w^30*z^36 + 19324305*w^32*z^36 + 17297280*w^34*z^36 +
    14294280*w^36*z^36 + 10795680*w^38*z^36 + 7325640*w^40*z^36 +
    4341120*w^42*z^36 + 2136645*w^44*z^36 + 790020*w^46*z^36 +
    168245*w^48*z^36 + 63756*w^10*z^40 + 265650*w^12*z^40 +
    658350*w^14*z^40 + 1256850*w^16*z^40 + 2034900*w^18*z^40 +
    2930256*w^20*z^40 + 3855600*w^22*z^40 + 4712400*w^24*z^40 +
    5405400*w^26*z^40 + 5855850*w^28*z^40 + 6012006*w^30*z^40 +
    5855850*w^32*z^40 + 5405400*w^34*z^40 + 4712400*w^36*z^40 +
    3855600*w^38*z^40 + 2930256*w^40*z^40 + 2034900*w^42*z^40 +
    1256850*w^44*z^40 + 658350*w^46*z^40 + 265650*w^48*z^40 +
    63756*w^50*z^40 + 17250*w^8*z^44 + 60720*w^10*z^44 + 132825*w^12*z^44 +
    231000*w^14*z^44 + 349125*w^16*z^44 + 478800*w^18*z^44 +
    610470*w^20*z^44 + 734400*w^22*z^44 + 841500*w^24*z^44 +
    924000*w^26*z^44 + 975975*w^28*z^44 + 993720*w^30*z^44 +
    975975*w^32*z^44 + 924000*w^34*z^44 + 841500*w^36*z^44 +
    734400*w^38*z^44 + 610470*w^40*z^44 + 478800*w^42*z^44 +
    349125*w^44*z^44 + 231000*w^46*z^44 + 132825*w^48*z^44 +
    60720*w^50*z^44 + 17250*w^52*z^44 + 3250*w^6*z^48 + 9000*w^8*z^48 +
    16560*w^10*z^48 + 25300*w^12*z^48 + 34650*w^14*z^48 + 44100*w^16*z^48 +
    53200*w^18*z^48 + 61560*w^20*z^48 + 68850*w^22*z^48 + 74800*w^24*z^48 +
    79200*w^26*z^48 + 81900*w^28*z^48 + 82810*w^30*z^48 + 81900*w^32*z^48 +
    79200*w^34*z^48 + 74800*w^36*z^48 + 68850*w^38*z^48 + 61560*w^40*z^48 +
    53200*w^42*z^48 + 44100*w^44*z^48 + 34650*w^46*z^48 + 25300*w^48*z^48 +
    16560*w^50*z^48 + 9000*w^52*z^48 + 3250*w^54*z^48 + 405*w^4*z^52 +
    780*w^6*z^52 + 1125*w^8*z^52 + 1440*w^10*z^52 + 1725*w^12*z^52 +
    1980*w^14*z^52 + 2205*w^16*z^52 + 2400*w^18*z^52 + 2565*w^20*z^52 +
    2700*w^22*z^52 + 2805*w^24*z^52 + 2880*w^26*z^52 + 2925*w^28*z^52 +
    2940*w^30*z^52 + 2925*w^32*z^52 + 2880*w^34*z^52 + 2805*w^36*z^52 +
    2700*w^38*z^52 + 2565*w^40*z^52 + 2400*w^42*z^52 + 2205*w^44*z^52 +
    1980*w^46*z^52 + 1725*w^48*z^52 + 1440*w^50*z^52 + 1125*w^52*z^52 +
    780*w^54*z^52 + 405*w^56*z^52 + 30*w^2*z^56 + 30*w^4*z^56 + 30*w^6*z^56 +
    30*w^8*z^56 + 30*w^10*z^56 + 30*w^12*z^56 + 30*w^14*z^56 + 30*w^16*z^56 +
    30*w^18*z^56 + 30*w^20*z^56 + 30*w^22*z^56 + 30*w^24*z^56 +
    30*w^26*z^56 + 30*w^28*z^56 + 30*w^30*z^56 + 30*w^32*z^56 +
    30*w^34*z^56 + 30*w^36*z^56 + 30*w^38*z^56 + 30*w^40*z^56 +
    30*w^42*z^56 + 30*w^44*z^56 + 30*w^46*z^56 + 30*w^48*z^56 +
    30*w^50*z^56 + 30*w^52*z^56 + 30*w^54*z^56 + 30*w^56*z^56 +
    30*w^58*z^56 + z^60 + w^60*z^60)/w^30], [2 + z^4/w^2 + w^2*z^4,
  4 + 4/w^2 + 4*w^2 + 2/z^8 + z^8/w^4 + w^4*z^8,
  14 + 6/w^2 + 6*w^2 + 6/z^8 + 6/(w^2*z^4) + (6*w^2)/z^4 + (6*z^4)/w^4 +
   (3*z^4)/w^2 + 3*w^2*z^4 + 6*w^4*z^4 + z^12/w^6 + w^6*z^12,
  36 + 16/w^4 + 16/w^2 + 16*w^2 + 16*w^4 + 2/z^16 + 12/z^8 + 8/(w^2*z^8) +
   (8*w^2)/z^8 + 16/z^4 + 16/(w^2*z^4) + (16*w^2)/z^4 + (8*z^4)/w^4 +
   (16*z^4)/w^2 + 16*w^2*z^4 + 8*w^4*z^4 + 4*z^8 + (8*z^8)/w^6 +
   (4*z^8)/w^4 + 4*w^4*z^8 + 8*w^6*z^8 + z^16/w^8 + w^8*z^16,
  82 + 40/w^4 + 80/w^2 + 80*w^2 + 40*w^4 + 10/z^16 + 10/(w^2*z^12) +
   (10*w^2)/z^12 + 40/z^8 + 30/(w^2*z^8) + (30*w^2)/z^8 + 80/z^4 +
   30/(w^4*z^4) + 40/(w^2*z^4) + (40*w^2)/z^4 + (30*w^4)/z^4 + 20*z^4 +
   (30*z^4)/w^6 + (30*z^4)/w^4 + (45*z^4)/w^2 + 45*w^2*z^4 + 30*w^4*z^4 +
   30*w^6*z^4 + 20*z^8 + (10*z^8)/w^6 + (20*z^8)/w^4 + 20*w^4*z^8 +
   10*w^6*z^8 + (10*z^12)/w^8 + (5*z^12)/w^6 + (5*z^12)/w^2 + 5*w^2*z^12 +
   5*w^6*z^12 + 10*w^8*z^12 + z^20/w^10 + w^10*z^20,
  244 + 76/w^6 + 120/w^4 + 276/w^2 + 276*w^2 + 120*w^4 + 76*w^6 + 2/z^24 +
   30/z^16 + 12/(w^2*z^16) + (12*w^2)/z^16 + 24/z^12 + 48/(w^2*z^12) +
   (48*w^2)/z^12 + 174/z^8 + 48/(w^4*z^8) + 84/(w^2*z^8) + (84*w^2)/z^8 +
   (48*w^4)/z^8 + 240/z^4 + 108/(w^4*z^4) + 192/(w^2*z^4) + (192*w^2)/z^4 +
   (108*w^4)/z^4 + 144*z^4 + (72*z^4)/w^6 + (156*z^4)/w^4 + (120*z^4)/w^2 +
   120*w^2*z^4 + 156*w^4*z^4 + 72*w^6*z^4 + 60*z^8 + (48*z^8)/w^8 +
   (48*z^8)/w^6 + (57*z^8)/w^4 + (36*z^8)/w^2 + 36*w^2*z^8 + 57*w^4*z^8 +
   48*w^6*z^8 + 48*w^8*z^8 + (12*z^12)/w^8 + (24*z^12)/w^6 + (24*z^12)/w^2 +
   24*w^2*z^12 + 24*w^6*z^12 + 12*w^8*z^12 + 6*z^16 + (12*z^16)/w^10 +
   (6*z^16)/w^8 + (6*z^16)/w^4 + 6*w^4*z^16 + 6*w^8*z^16 + 12*w^10*z^16 +
   z^24/w^12 + w^12*z^24, 954 + 266/w^6 + 588/w^4 + 798/w^2 + 798*w^2 +
   588*w^4 + 266*w^6 + 14/z^24 + 14/(w^2*z^20) + (14*w^2)/z^20 + 98/z^16 +
   70/(w^2*z^16) + (70*w^2)/z^16 + 224/z^12 + 70/(w^4*z^12) +
   154/(w^2*z^12) + (154*w^2)/z^12 + (70*w^4)/z^12 + 574/z^8 +
   224/(w^4*z^8) + 378/(w^2*z^8) + (378*w^2)/z^8 + (224*w^4)/z^8 + 756/z^4 +
   154/(w^6*z^4) + 336/(w^4*z^4) + 798/(w^2*z^4) + (798*w^2)/z^4 +
   (336*w^4)/z^4 + (154*w^6)/z^4 + 532*z^4 + (154*z^4)/w^8 + (252*z^4)/w^6 +
   (532*z^4)/w^4 + (469*z^4)/w^2 + 469*w^2*z^4 + 532*w^4*z^4 + 252*w^6*z^4 +
   154*w^8*z^4 + 196*z^8 + (112*z^8)/w^8 + (252*z^8)/w^6 + (168*z^8)/w^4 +
   (238*z^8)/w^2 + 238*w^2*z^8 + 168*w^4*z^8 + 252*w^6*z^8 + 112*w^8*z^8 +
   56*z^12 + (70*z^12)/w^10 + (70*z^12)/w^8 + (70*z^12)/w^6 + (56*z^12)/w^4 +
   (77*z^12)/w^2 + 77*w^2*z^12 + 56*w^4*z^12 + 70*w^6*z^12 + 70*w^8*z^12 +
   70*w^10*z^12 + 28*z^16 + (14*z^16)/w^10 + (28*z^16)/w^8 + (28*z^16)/w^4 +
   28*w^4*z^16 + 28*w^8*z^16 + 14*w^10*z^16 + (14*z^20)/w^12 +
   (7*z^20)/w^10 + (7*z^20)/w^6 + (7*z^20)/w^2 + 7*w^2*z^20 + 7*w^6*z^20 +
   7*w^10*z^20 + 14*w^12*z^20 + z^28/w^14 + w^14*z^28,
  3332 + 384/w^8 + 912/w^6 + 2304/w^4 + 2672/w^2 + 2672*w^2 + 2304*w^4 +
   912*w^6 + 384*w^8 + 2/z^32 + 56/z^24 + 16/(w^2*z^24) + (16*w^2)/z^24 +
   32/z^20 + 96/(w^2*z^20) + (96*w^2)/z^20 + 460/z^16 + 96/(w^4*z^16) +
   256/(w^2*z^16) + (256*w^2)/z^16 + (96*w^4)/z^16 + 992/z^12 +
   400/(w^4*z^12) + 672/(w^2*z^12) + (672*w^2)/z^12 + (400*w^4)/z^12 +
   1848/z^8 + 272/(w^6*z^8) + 768/(w^4*z^8) + 1760/(w^2*z^8) +
   (1760*w^2)/z^8 + (768*w^4)/z^8 + (272*w^6)/z^8 + 2976/z^4 +
   704/(w^6*z^4) + 1568/(w^4*z^4) + 2624/(w^2*z^4) + (2624*w^2)/z^4 +
   (1568*w^4)/z^4 + (704*w^6)/z^4 + 1792*z^4 + (528*z^4)/w^8 +
   (1280*z^4)/w^6 + (1632*z^4)/w^4 + (2048*z^4)/w^2 + 2048*w^2*z^4 +
   1632*w^4*z^4 + 1280*w^6*z^4 + 528*w^8*z^4 + 920*z^8 + (272*z^8)/w^10 +
   (448*z^8)/w^8 + (864*z^8)/w^6 + (784*z^8)/w^4 + (896*z^8)/w^2 +
   896*w^2*z^8 + 784*w^4*z^8 + 864*w^6*z^8 + 448*w^8*z^8 + 272*w^10*z^8 +
   352*z^12 + (160*z^12)/w^10 + (368*z^12)/w^8 + (224*z^12)/w^6 +
   (352*z^12)/w^4 + (288*z^12)/w^2 + 288*w^2*z^12 + 352*w^4*z^12 +
   224*w^6*z^12 + 368*w^8*z^12 + 160*w^10*z^12 + 100*z^16 + (96*z^16)/w^12 +
   (96*z^16)/w^10 + (84*z^16)/w^8 + (80*z^16)/w^6 + (96*z^16)/w^4 +
   (80*z^16)/w^2 + 80*w^2*z^16 + 96*w^4*z^16 + 80*w^6*z^16 + 84*w^8*z^16 +
   96*w^10*z^16 + 96*w^12*z^16 + (16*z^20)/w^12 + (32*z^20)/w^10 +
   (32*z^20)/w^6 + (32*z^20)/w^2 + 32*w^2*z^20 + 32*w^6*z^20 + 32*w^10*z^20 +
   16*w^12*z^20 + 8*z^24 + (16*z^24)/w^14 + (8*z^24)/w^12 + (8*z^24)/w^8 +
   (8*z^24)/w^4 + 8*w^4*z^24 + 8*w^8*z^24 + 8*w^12*z^24 + 16*w^14*z^24 +
   z^32/w^16 + w^16*z^32, 10778 + 1728/w^8 + 4434/w^6 + 7668/w^4 +
   10350/w^2 + 10350*w^2 + 7668*w^4 + 4434*w^6 + 1728*w^8 + 18/z^32 +
   18/(w^2*z^28) + (18*w^2)/z^28 + 204/z^24 + 126/(w^2*z^24) +
   (126*w^2)/z^24 + 432/z^20 + 126/(w^4*z^20) + 396/(w^2*z^20) +
   (396*w^2)/z^20 + (126*w^4)/z^20 + 1908/z^16 + 648/(w^4*z^16) +
   1116/(w^2*z^16) + (1116*w^2)/z^16 + (648*w^4)/z^16 + 3636/z^12 +
   438/(w^6*z^12) + 1530/(w^4*z^12) + 3348/(w^2*z^12) + (3348*w^2)/z^12 +
   (1530*w^4)/z^12 + (438*w^6)/z^12 + 7236/z^8 + 1530/(w^6*z^8) +
   3492/(w^4*z^8) + 6516/(w^2*z^8) + (6516*w^2)/z^8 + (3492*w^4)/z^8 +
   (1530*w^6)/z^8 + 11232/z^4 + 810/(w^8*z^4) + 2574/(w^6*z^4) +
   6804/(w^4*z^4) + 8946/(w^2*z^4) + (8946*w^2)/z^4 + (6804*w^4)/z^4 +
   (2574*w^6)/z^4 + (810*w^8)/z^4 + 7056*z^4 + (810*z^4)/w^10 +
   (1980*z^4)/w^8 + (4968*z^4)/w^6 + (6012*z^4)/w^4 + (7461*z^4)/w^2 +
   7461*w^2*z^4 + 6012*w^4*z^4 + 4968*w^6*z^4 + 1980*w^8*z^4 + 810*w^10*z^4 +
   4140*z^8 + (918*z^8)/w^10 + (2340*z^8)/w^8 + (2808*z^8)/w^6 +
   (3636*z^8)/w^4 + (3348*z^8)/w^2 + 3348*w^2*z^8 + 3636*w^4*z^8 +
   2808*w^6*z^8 + 2340*w^8*z^8 + 918*w^10*z^8 + 1404*z^12 + (438*z^12)/w^12 +
   (720*z^12)/w^10 + (1278*z^12)/w^8 + (1200*z^12)/w^6 + (1368*z^12)/w^4 +
   (1512*z^12)/w^2 + 1512*w^2*z^12 + 1368*w^4*z^12 + 1200*w^6*z^12 +
   1278*w^8*z^12 + 720*w^10*z^12 + 438*w^12*z^12 + 432*z^16 +
   (216*z^16)/w^12 + (504*z^16)/w^10 + (288*z^16)/w^8 + (486*z^16)/w^6 +
   (396*z^16)/w^4 + (486*z^16)/w^2 + 486*w^2*z^16 + 396*w^4*z^16 +
   486*w^6*z^16 + 288*w^8*z^16 + 504*w^10*z^16 + 216*w^12*z^16 + 108*z^20 +
   (126*z^20)/w^14 + (126*z^20)/w^12 + (99*z^20)/w^10 + (108*z^20)/w^8 +
   (117*z^20)/w^6 + (108*z^20)/w^4 + (126*z^20)/w^2 + 126*w^2*z^20 +
   108*w^4*z^20 + 117*w^6*z^20 + 108*w^8*z^20 + 99*w^10*z^20 +
   126*w^12*z^20 + 126*w^14*z^20 + 36*z^24 + (18*z^24)/w^14 +
   (36*z^24)/w^12 + (36*z^24)/w^8 + (36*z^24)/w^4 + 36*w^4*z^24 +
   36*w^8*z^24 + 36*w^12*z^24 + 18*w^14*z^24 + (18*z^28)/w^16 +
   (9*z^28)/w^14 + (9*z^28)/w^10 + (9*z^28)/w^6 + (9*z^28)/w^2 + 9*w^2*z^28 +
   9*w^6*z^28 + 9*w^10*z^28 + 9*w^14*z^28 + 18*w^16*z^28 + z^36/w^18 +
   w^18*z^36, 37924 + 2004/w^10 + 6720/w^8 + 18860/w^6 + 27440/w^4 +
   37760/w^2 + 37760*w^2 + 27440*w^4 + 18860*w^6 + 6720*w^8 + 2004*w^10 +
   2/z^40 + 90/z^32 + 20/(w^2*z^32) + (20*w^2)/z^32 + 40/z^28 +
   160/(w^2*z^28) + (160*w^2)/z^28 + 980/z^24 + 160/(w^4*z^24) +
   580/(w^2*z^24) + (580*w^2)/z^24 + (160*w^4)/z^24 + 2560/z^20 +
   980/(w^4*z^20) + 1760/(w^2*z^20) + (1760*w^2)/z^20 + (980*w^4)/z^20 +
   7060/z^16 + 660/(w^6*z^16) + 2760/(w^4*z^16) + 5800/(w^2*z^16) +
   (5800*w^2)/z^16 + (2760*w^4)/z^16 + (660*w^6)/z^16 + 14880/z^12 +
   2920/(w^6*z^12) + 6940/(w^4*z^12) + 13720/(w^2*z^12) + (13720*w^2)/z^12 +
   (6940*w^4)/z^12 + (2920*w^6)/z^12 + 28970/z^8 + 1520/(w^8*z^8) +
   6120/(w^6*z^8) + 16240/(w^4*z^8) + 23300/(w^2*z^8) + (23300*w^2)/z^8 +
   (16240*w^4)/z^8 + (6120*w^6)/z^8 + (1520*w^8)/z^8 + 38640/z^4 +
   4500/(w^8*z^4) + 12200/(w^6*z^4) + 24800/(w^4*z^4) + 34520/(w^2*z^4) +
   (34520*w^2)/z^4 + (24800*w^4)/z^4 + (12200*w^6)/z^4 + (4500*w^8)/z^4 +
   28760*z^4 + (3600*z^4)/w^10 + (10000*z^4)/w^8 + (17080*z^4)/w^6 +
   (24240*z^4)/w^4 + (26040*z^4)/w^2 + 26040*w^2*z^4 + 24240*w^4*z^4 +
   17080*w^6*z^4 + 10000*w^8*z^4 + 3600*w^10*z^4 + 15640*z^8 +
   (1520*z^8)/w^12 + (3740*z^8)/w^10 + (9120*z^8)/w^8 + (11220*z^8)/w^6 +
   (13785*z^8)/w^4 + (14460*z^8)/w^2 + 14460*w^2*z^8 + 13785*w^4*z^8 +
   11220*w^6*z^8 + 9120*w^8*z^8 + 3740*w^10*z^8 + 1520*w^12*z^8 + 5960*z^12 +
   (1460*z^12)/w^12 + (3840*z^12)/w^10 + (4380*z^12)/w^8 + (5800*z^12)/w^6 +
   (5560*z^12)/w^4 + (7000*z^12)/w^2 + 7000*w^2*z^12 + 5560*w^4*z^12 +
   5800*w^6*z^12 + 4380*w^8*z^12 + 3840*w^10*z^12 + 1460*w^12*z^12 +
   2440*z^16 + (660*z^16)/w^14 + (1080*z^16)/w^12 + (1780*z^16)/w^10 +
   (1730*z^16)/w^8 + (1960*z^16)/w^6 + (2260*z^16)/w^4 + (2060*z^16)/w^2 +
   2060*w^2*z^16 + 2260*w^4*z^16 + 1960*w^6*z^16 + 1730*w^8*z^16 +
   1780*w^10*z^16 + 1080*w^12*z^16 + 660*w^14*z^16 + 640*z^20 +
   (280*z^20)/w^14 + (660*z^20)/w^12 + (360*z^20)/w^10 + (640*z^20)/w^8 +
   (520*z^20)/w^6 + (640*z^20)/w^4 + (600*z^20)/w^2 + 600*w^2*z^20 +
   640*w^4*z^20 + 520*w^6*z^20 + 640*w^8*z^20 + 360*w^10*z^20 +
   660*w^12*z^20 + 280*w^14*z^20 + 160*z^24 + (160*z^24)/w^16 +
   (160*z^24)/w^14 + (115*z^24)/w^12 + (140*z^24)/w^10 + (140*z^24)/w^8 +
   (140*z^24)/w^6 + (155*z^24)/w^4 + (140*z^24)/w^2 + 140*w^2*z^24 +
   155*w^4*z^24 + 140*w^6*z^24 + 140*w^8*z^24 + 140*w^10*z^24 +
   115*w^12*z^24 + 160*w^14*z^24 + 160*w^16*z^24 + (20*z^28)/w^16 +
   (40*z^28)/w^14 + (40*z^28)/w^10 + (40*z^28)/w^6 + (40*z^28)/w^2 +
   40*w^2*z^28 + 40*w^6*z^28 + 40*w^10*z^28 + 40*w^14*z^28 + 20*w^16*z^28 +
   10*z^32 + (20*z^32)/w^18 + (10*z^32)/w^16 + (10*z^32)/w^12 +
   (10*z^32)/w^8 + (10*z^32)/w^4 + 10*w^4*z^32 + 10*w^8*z^32 + 10*w^12*z^32 +
   10*w^16*z^32 + 20*w^18*z^32 + z^40/w^20 + w^20*z^40,
  (22*w^22 + 22*w^20*z^4 + 22*w^24*z^4 + 198*w^20*z^8 + 374*w^22*z^8 +
    198*w^24*z^8 + 198*w^18*z^12 + 814*w^20*z^12 + 704*w^22*z^12 +
    814*w^24*z^12 + 198*w^26*z^12 + 1408*w^18*z^16 + 2662*w^20*z^16 +
    4664*w^22*z^16 + 2662*w^24*z^16 + 1408*w^26*z^16 + 946*w^16*z^20 +
    4620*w^18*z^20 + 9416*w^20*z^20 + 11220*w^22*z^20 + 9416*w^24*z^20 +
    4620*w^26*z^20 + 946*w^28*z^20 + 5082*w^16*z^24 + 12716*w^18*z^24 +
    25872*w^20*z^24 + 28688*w^22*z^24 + 25872*w^24*z^24 + 12716*w^26*z^24 +
    5082*w^28*z^24 + 2618*w^14*z^28 + 12848*w^16*z^28 + 33858*w^18*z^28 +
    51986*w^20*z^28 + 63228*w^22*z^28 + 51986*w^24*z^28 + 33858*w^26*z^28 +
    12848*w^28*z^28 + 2618*w^30*z^28 + 10032*w^14*z^32 + 28864*w^16*z^32 +
    64416*w^18*z^32 + 91498*w^20*z^32 + 106546*w^22*z^32 + 91498*w^24*z^32 +
    64416*w^26*z^32 + 28864*w^28*z^32 + 10032*w^30*z^32 + 4334*w^12*z^36 +
    18810*w^14*z^36 + 55462*w^16*z^36 + 90904*w^18*z^36 + 130988*w^20*z^36 +
    136752*w^22*z^36 + 130988*w^24*z^36 + 90904*w^26*z^36 + 55462*w^28*z^36 +
    18810*w^30*z^36 + 4334*w^32*z^36 + 11022*w^12*z^40 + 33132*w^14*z^40 +
    69542*w^16*z^40 + 107184*w^18*z^40 + 131340*w^20*z^40 +
    143178*w^22*z^40 + 131340*w^24*z^40 + 107184*w^26*z^40 +
    69542*w^28*z^40 + 33132*w^30*z^40 + 11022*w^32*z^40 + 4334*w^10*z^44 +
    14850*w^12*z^44 + 42482*w^14*z^44 + 64394*w^16*z^44 + 90266*w^18*z^44 +
    98857*w^20*z^44 + 107404*w^22*z^44 + 98857*w^24*z^44 + 90266*w^26*z^44 +
    64394*w^28*z^44 + 42482*w^30*z^44 + 14850*w^32*z^44 + 4334*w^34*z^44 +
    6688*w^10*z^48 + 19514*w^12*z^48 + 32516*w^14*z^48 + 47058*w^16*z^48 +
    51568*w^18*z^48 + 61094*w^20*z^48 + 59180*w^22*z^48 + 61094*w^24*z^48 +
    51568*w^26*z^48 + 47058*w^28*z^48 + 32516*w^30*z^48 + 19514*w^32*z^48 +
    6688*w^34*z^48 + 2618*w^8*z^52 + 6424*w^10*z^52 + 15114*w^12*z^52 +
    18766*w^14*z^52 + 22847*w^16*z^52 + 25652*w^18*z^52 + 27676*w^20*z^52 +
    27984*w^22*z^52 + 27676*w^24*z^52 + 25652*w^26*z^52 + 22847*w^28*z^52 +
    18766*w^30*z^52 + 15114*w^32*z^52 + 6424*w^34*z^52 + 2618*w^36*z^52 +
    2178*w^8*z^56 + 5852*w^10*z^56 + 6402*w^12*z^56 + 8624*w^14*z^56 +
    8536*w^16*z^56 + 10736*w^18*z^56 + 9614*w^20*z^56 + 11484*w^22*z^56 +
    9614*w^24*z^56 + 10736*w^26*z^56 + 8536*w^28*z^56 + 8624*w^30*z^56 +
    6402*w^32*z^56 + 5852*w^34*z^56 + 2178*w^36*z^56 + 946*w^6*z^60 +
    1540*w^8*z^60 + 2376*w^10*z^60 + 2387*w^12*z^60 + 2684*w^14*z^60 +
    3179*w^16*z^60 + 2882*w^18*z^60 + 3586*w^20*z^60 + 2948*w^22*z^60 +
    3586*w^24*z^60 + 2882*w^26*z^60 + 3179*w^28*z^60 + 2684*w^30*z^60 +
    2387*w^32*z^60 + 2376*w^34*z^60 + 1540*w^36*z^60 + 946*w^38*z^60 +
    352*w^6*z^64 + 836*w^8*z^64 + 440*w^10*z^64 + 814*w^12*z^64 +
    660*w^14*z^64 + 814*w^16*z^64 + 792*w^18*z^64 + 814*w^20*z^64 +
    836*w^22*z^64 + 814*w^24*z^64 + 792*w^26*z^64 + 814*w^28*z^64 +
    660*w^30*z^64 + 814*w^32*z^64 + 440*w^34*z^64 + 836*w^36*z^64 +
    352*w^38*z^64 + 198*w^4*z^68 + 198*w^6*z^68 + 132*w^8*z^68 +
    176*w^10*z^68 + 165*w^12*z^68 + 176*w^14*z^68 + 187*w^16*z^68 +
    176*w^18*z^68 + 198*w^20*z^68 + 176*w^22*z^68 + 198*w^24*z^68 +
    176*w^26*z^68 + 187*w^28*z^68 + 176*w^30*z^68 + 165*w^32*z^68 +
    176*w^34*z^68 + 132*w^36*z^68 + 198*w^38*z^68 + 198*w^40*z^68 +
    22*w^4*z^72 + 44*w^6*z^72 + 44*w^10*z^72 + 44*w^14*z^72 + 44*w^18*z^72 +
    44*w^22*z^72 + 44*w^26*z^72 + 44*w^30*z^72 + 44*w^34*z^72 +
    44*w^38*z^72 + 22*w^40*z^72 + 22*w^2*z^76 + 11*w^4*z^76 + 11*w^8*z^76 +
    11*w^12*z^76 + 11*w^16*z^76 + 11*w^20*z^76 + 11*w^24*z^76 +
    11*w^28*z^76 + 11*w^32*z^76 + 11*w^36*z^76 + 11*w^40*z^76 +
    22*w^42*z^76 + z^84 + w^44*z^84)/(w^22*z^40),
  (2*w^24 + 24*w^22*z^8 + 132*w^24*z^8 + 24*w^26*z^8 + 240*w^22*z^12 +
    48*w^24*z^12 + 240*w^26*z^12 + 240*w^20*z^16 + 1104*w^22*z^16 +
    1854*w^24*z^16 + 1104*w^26*z^16 + 240*w^28*z^16 + 1944*w^20*z^20 +
    3888*w^22*z^20 + 5232*w^24*z^20 + 3888*w^26*z^20 + 1944*w^28*z^20 +
    1304*w^18*z^24 + 7296*w^20*z^24 + 14568*w^22*z^24 + 19704*w^24*z^24 +
    14568*w^26*z^24 + 7296*w^28*z^24 + 1304*w^30*z^24 + 8256*w^18*z^28 +
    21888*w^20*z^28 + 45072*w^22*z^28 + 49152*w^24*z^28 + 45072*w^26*z^28 +
    21888*w^28*z^28 + 8256*w^30*z^28 + 4224*w^16*z^32 + 24552*w^18*z^32 +
    64272*w^20*z^32 + 104136*w^22*z^32 + 125310*w^24*z^32 +
    104136*w^26*z^32 + 64272*w^28*z^32 + 24552*w^30*z^32 + 4224*w^32*z^32 +
    19992*w^16*z^36 + 61312*w^18*z^36 + 144648*w^20*z^36 + 209424*w^22*z^36 +
    248608*w^24*z^36 + 209424*w^26*z^36 + 144648*w^28*z^36 +
    61312*w^30*z^36 + 19992*w^32*z^36 + 8472*w^14*z^40 + 45600*w^16*z^40 +
    137784*w^18*z^40 + 246144*w^20*z^40 + 362136*w^22*z^40 +
    389508*w^24*z^40 + 362136*w^26*z^40 + 246144*w^28*z^40 +
    137784*w^30*z^40 + 45600*w^32*z^40 + 8472*w^34*z^40 + 28368*w^14*z^44 +
    92088*w^16*z^44 + 219408*w^18*z^44 + 357408*w^20*z^44 +
    472608*w^22*z^44 + 514080*w^24*z^44 + 472608*w^26*z^44 +
    357408*w^28*z^44 + 219408*w^30*z^44 + 92088*w^32*z^44 + 28368*w^34*z^44 +
    10672*w^12*z^48 + 48096*w^14*z^48 + 150048*w^16*z^48 + 263392*w^18*z^48 +
    405072*w^20*z^48 + 477504*w^22*z^48 + 526788*w^24*z^48 +
    477504*w^26*z^48 + 405072*w^28*z^48 + 263392*w^30*z^48 +
    150048*w^32*z^48 + 48096*w^34*z^48 + 10672*w^36*z^48 + 23640*w^12*z^52 +
    75888*w^14*z^52 + 160104*w^16*z^52 + 258096*w^18*z^52 +
    326856*w^20*z^52 + 386400*w^22*z^52 + 391872*w^24*z^52 +
    386400*w^26*z^52 + 326856*w^28*z^52 + 258096*w^30*z^52 +
    160104*w^32*z^52 + 75888*w^34*z^52 + 23640*w^36*z^52 + 8472*w^10*z^56 +
    29184*w^12*z^56 + 83424*w^14*z^56 + 128736*w^16*z^56 + 180432*w^18*z^56 +
    208548*w^20*z^56 + 236064*w^22*z^56 + 240060*w^24*z^56 +
    236064*w^26*z^56 + 208548*w^28*z^56 + 180432*w^30*z^56 +
    128736*w^32*z^56 + 83424*w^34*z^56 + 29184*w^36*z^56 + 8472*w^38*z^56 +
    11424*w^10*z^60 + 34448*w^12*z^60 + 55872*w^14*z^60 + 81528*w^16*z^60 +
    90880*w^18*z^60 + 111792*w^20*z^60 + 112560*w^22*z^60 +
    122352*w^24*z^60 + 112560*w^26*z^60 + 111792*w^28*z^60 +
    90880*w^30*z^60 + 81528*w^32*z^60 + 55872*w^34*z^60 + 34448*w^36*z^60 +
    11424*w^38*z^60 + 4224*w^8*z^64 + 10296*w^10*z^64 + 23328*w^12*z^64 +
    29160*w^14*z^64 + 35241*w^16*z^64 + 41472*w^18*z^64 + 44448*w^20*z^64 +
    47760*w^22*z^64 + 47820*w^24*z^64 + 47760*w^26*z^64 + 44448*w^28*z^64 +
    41472*w^30*z^64 + 35241*w^32*z^64 + 29160*w^34*z^64 + 23328*w^36*z^64 +
    10296*w^38*z^64 + 4224*w^40*z^64 + 3096*w^8*z^68 + 8448*w^10*z^68 +
    8928*w^12*z^68 + 12192*w^14*z^68 + 12384*w^16*z^68 + 15456*w^18*z^68 +
    14472*w^20*z^68 + 17232*w^22*z^68 + 15168*w^24*z^68 + 17232*w^26*z^68 +
    14472*w^28*z^68 + 15456*w^30*z^68 + 12384*w^32*z^68 + 12192*w^34*z^68 +
    8928*w^36*z^68 + 8448*w^38*z^68 + 3096*w^40*z^68 + 1304*w^6*z^72 +
    2112*w^8*z^72 + 3072*w^10*z^72 + 3184*w^12*z^72 + 3552*w^14*z^72 +
    4284*w^16*z^72 + 3888*w^18*z^72 + 4968*w^20*z^72 + 4056*w^22*z^72 +
    5200*w^24*z^72 + 4056*w^26*z^72 + 4968*w^28*z^72 + 3888*w^30*z^72 +
    4284*w^32*z^72 + 3552*w^34*z^72 + 3184*w^36*z^72 + 3072*w^38*z^72 +
    2112*w^40*z^72 + 1304*w^42*z^72 + 432*w^6*z^76 + 1032*w^8*z^76 +
    528*w^10*z^76 + 1008*w^12*z^76 + 816*w^14*z^76 + 1008*w^16*z^76 +
    1008*w^18*z^76 + 1008*w^20*z^76 + 1104*w^22*z^76 + 1008*w^24*z^76 +
    1104*w^26*z^76 + 1008*w^28*z^76 + 1008*w^30*z^76 + 1008*w^32*z^76 +
    816*w^34*z^76 + 1008*w^36*z^76 + 528*w^38*z^76 + 1032*w^40*z^76 +
    432*w^42*z^76 + 240*w^4*z^80 + 240*w^6*z^80 + 150*w^8*z^80 +
    216*w^10*z^80 + 192*w^12*z^80 + 216*w^14*z^80 + 222*w^16*z^80 +
    216*w^18*z^80 + 240*w^20*z^80 + 216*w^22*z^80 + 246*w^24*z^80 +
    216*w^26*z^80 + 240*w^28*z^80 + 216*w^30*z^80 + 222*w^32*z^80 +
    216*w^34*z^80 + 192*w^36*z^80 + 216*w^38*z^80 + 150*w^40*z^80 +
    240*w^42*z^80 + 240*w^44*z^80 + 24*w^4*z^84 + 48*w^6*z^84 +
    48*w^10*z^84 + 48*w^14*z^84 + 48*w^18*z^84 + 48*w^22*z^84 +
    48*w^26*z^84 + 48*w^30*z^84 + 48*w^34*z^84 + 48*w^38*z^84 +
    48*w^42*z^84 + 24*w^44*z^84 + 24*w^2*z^88 + 12*w^4*z^88 + 12*w^8*z^88 +
    12*w^12*z^88 + 12*w^16*z^88 + 12*w^20*z^88 + 12*w^24*z^88 +
    12*w^28*z^88 + 12*w^32*z^88 + 12*w^36*z^88 + 12*w^40*z^88 +
    12*w^44*z^88 + 24*w^46*z^88 + z^96 + w^48*z^96)/(w^24*z^48),
  (26*w^26 + 26*w^24*z^4 + 26*w^28*z^4 + 286*w^24*z^8 + 624*w^26*z^8 +
    286*w^28*z^8 + 286*w^22*z^12 + 1456*w^24*z^12 + 1040*w^26*z^12 +
    1456*w^28*z^12 + 286*w^30*z^12 + 2600*w^22*z^16 + 5512*w^24*z^16 +
    9646*w^26*z^16 + 5512*w^28*z^16 + 2600*w^30*z^16 + 1742*w^20*z^20 +
    10998*w^22*z^20 + 21710*w^24*z^20 + 27092*w^26*z^20 + 21710*w^28*z^20 +
    10998*w^30*z^20 + 1742*w^32*z^20 + 12714*w^20*z^24 + 35828*w^22*z^24 +
    73970*w^24*z^24 + 84968*w^26*z^24 + 73970*w^28*z^24 + 35828*w^30*z^24 +
    12714*w^32*z^24 + 6474*w^18*z^28 + 43602*w^20*z^28 + 113854*w^22*z^28 +
    192478*w^24*z^28 + 226200*w^26*z^28 + 192478*w^28*z^28 +
    113854*w^30*z^28 + 43602*w^32*z^28 + 6474*w^34*z^28 + 36608*w^18*z^32 +
    119990*w^20*z^32 + 292708*w^22*z^32 + 432354*w^24*z^32 +
    519454*w^26*z^32 + 432354*w^28*z^32 + 292708*w^30*z^32 +
    119990*w^32*z^32 + 36608*w^34*z^32 + 15314*w^16*z^36 + 99008*w^18*z^36 +
    303914*w^20*z^36 + 579878*w^22*z^36 + 861614*w^24*z^36 +
    948532*w^26*z^36 + 861614*w^28*z^36 + 579878*w^30*z^36 +
    303914*w^32*z^36 + 99008*w^34*z^36 + 15314*w^36*z^36 + 64246*w^16*z^40 +
    225108*w^18*z^40 + 581646*w^20*z^40 + 987376*w^22*z^40 +
    1367522*w^24*z^40 + 1489592*w^26*z^40 + 1367522*w^28*z^40 +
    987376*w^30*z^40 + 581646*w^32*z^40 + 225108*w^34*z^40 +
    64246*w^36*z^40 + 23478*w^14*z^44 + 133172*w^16*z^44 + 437736*w^18*z^44 +
    854724*w^20*z^44 + 1390714*w^22*z^44 + 1731080*w^24*z^44 +
    1923740*w^26*z^44 + 1731080*w^28*z^44 + 1390714*w^30*z^44 +
    854724*w^32*z^44 + 437736*w^34*z^44 + 133172*w^36*z^44 +
    23478*w^38*z^44 + 69368*w^14*z^48 + 243828*w^16*z^48 + 599976*w^18*z^48 +
    1051284*w^20*z^48 + 1481064*w^22*z^48 + 1804920*w^24*z^48 +
    1899250*w^26*z^48 + 1804920*w^28*z^48 + 1481064*w^30*z^48 +
    1051284*w^32*z^48 + 599976*w^34*z^48 + 243828*w^36*z^48 +
    69368*w^38*z^48 + 23478*w^12*z^52 + 107562*w^14*z^52 + 345280*w^16*z^52 +
    627900*w^18*z^52 + 990652*w^20*z^52 + 1239446*w^22*z^52 +
    1454401*w^24*z^52 + 1488136*w^26*z^52 + 1454401*w^28*z^52 +
    1239446*w^30*z^52 + 990652*w^32*z^52 + 627900*w^34*z^52 +
    345280*w^36*z^52 + 107562*w^38*z^52 + 23478*w^40*z^52 + 45890*w^12*z^56 +
    153972*w^14*z^56 + 322504*w^16*z^56 + 530660*w^18*z^56 +
    682604*w^20*z^56 + 844636*w^22*z^56 + 906204*w^24*z^56 +
    968292*w^26*z^56 + 906204*w^28*z^56 + 844636*w^30*z^56 +
    682604*w^32*z^56 + 530660*w^34*z^56 + 322504*w^36*z^56 +
    153972*w^38*z^56 + 45890*w^40*z^56 + 15314*w^10*z^60 + 52598*w^12*z^60 +
    148720*w^14*z^60 + 231322*w^16*z^60 + 322348*w^18*z^60 +
    387283*w^20*z^60 + 447798*w^22*z^60 + 482235*w^24*z^60 +
    493324*w^26*z^60 + 482235*w^28*z^60 + 447798*w^30*z^60 +
    387283*w^32*z^60 + 322348*w^34*z^60 + 231322*w^36*z^60 +
    148720*w^38*z^60 + 52598*w^40*z^60 + 15314*w^42*z^60 + 18304*w^10*z^64 +
    56498*w^12*z^64 + 89284*w^14*z^64 + 130702*w^16*z^64 + 147992*w^18*z^64 +
    185848*w^20*z^64 + 192400*w^22*z^64 + 215280*w^24*z^64 +
    208728*w^26*z^64 + 215280*w^28*z^64 + 192400*w^30*z^64 +
    185848*w^32*z^64 + 147992*w^34*z^64 + 130702*w^36*z^64 +
    89284*w^38*z^64 + 56498*w^40*z^64 + 18304*w^42*z^64 + 6474*w^8*z^68 +
    15652*w^10*z^68 + 34164*w^12*z^68 + 42952*w^14*z^68 + 51610*w^16*z^68 +
    62816*w^18*z^68 + 66911*w^20*z^68 + 75062*w^22*z^68 + 75556*w^24*z^68 +
    79196*w^26*z^68 + 75556*w^28*z^68 + 75062*w^30*z^68 + 66911*w^32*z^68 +
    62816*w^34*z^68 + 51610*w^36*z^68 + 42952*w^38*z^68 + 34164*w^40*z^68 +
    15652*w^42*z^68 + 6474*w^44*z^68 + 4238*w^8*z^72 + 11700*w^10*z^72 +
    12012*w^12*z^72 + 16588*w^14*z^72 + 17212*w^16*z^72 + 21268*w^18*z^72 +
    20696*w^20*z^72 + 24388*w^22*z^72 + 22438*w^24*z^72 + 25480*w^26*z^72 +
    22438*w^28*z^72 + 24388*w^30*z^72 + 20696*w^32*z^72 + 21268*w^34*z^72 +
    17212*w^36*z^72 + 16588*w^38*z^72 + 12012*w^40*z^72 + 11700*w^42*z^72 +
    4238*w^44*z^72 + 1742*w^6*z^76 + 2808*w^8*z^76 + 3874*w^10*z^76 +
    4134*w^12*z^76 + 4576*w^14*z^76 + 5590*w^16*z^76 + 5096*w^18*z^76 +
    6604*w^20*z^76 + 5408*w^22*z^76 + 7124*w^24*z^76 + 5512*w^26*z^76 +
    7124*w^28*z^76 + 5408*w^30*z^76 + 6604*w^32*z^76 + 5096*w^34*z^76 +
    5590*w^36*z^76 + 4576*w^38*z^76 + 4134*w^40*z^76 + 3874*w^42*z^76 +
    2808*w^44*z^76 + 1742*w^46*z^76 + 520*w^6*z^80 + 1248*w^8*z^80 +
    624*w^10*z^80 + 1222*w^12*z^80 + 988*w^14*z^80 + 1222*w^16*z^80 +
    1248*w^18*z^80 + 1222*w^20*z^80 + 1404*w^22*z^80 + 1222*w^24*z^80 +
    1456*w^26*z^80 + 1222*w^28*z^80 + 1404*w^30*z^80 + 1222*w^32*z^80 +
    1248*w^34*z^80 + 1222*w^36*z^80 + 988*w^38*z^80 + 1222*w^40*z^80 +
    624*w^42*z^80 + 1248*w^44*z^80 + 520*w^46*z^80 + 286*w^4*z^84 +
    286*w^6*z^84 + 169*w^8*z^84 + 260*w^10*z^84 + 221*w^12*z^84 +
    260*w^14*z^84 + 260*w^16*z^84 + 260*w^18*z^84 + 286*w^20*z^84 +
    260*w^22*z^84 + 299*w^24*z^84 + 260*w^26*z^84 + 299*w^28*z^84 +
    260*w^30*z^84 + 286*w^32*z^84 + 260*w^34*z^84 + 260*w^36*z^84 +
    260*w^38*z^84 + 221*w^40*z^84 + 260*w^42*z^84 + 169*w^44*z^84 +
    286*w^46*z^84 + 286*w^48*z^84 + 26*w^4*z^88 + 52*w^6*z^88 +
    52*w^10*z^88 + 52*w^14*z^88 + 52*w^18*z^88 + 52*w^22*z^88 +
    52*w^26*z^88 + 52*w^30*z^88 + 52*w^34*z^88 + 52*w^38*z^88 +
    52*w^42*z^88 + 52*w^46*z^88 + 26*w^48*z^88 + 26*w^2*z^92 + 13*w^4*z^92 +
    13*w^8*z^92 + 13*w^12*z^92 + 13*w^16*z^92 + 13*w^20*z^92 + 13*w^24*z^92 +
    13*w^28*z^92 + 13*w^32*z^92 + 13*w^36*z^92 + 13*w^40*z^92 +
    13*w^44*z^92 + 13*w^48*z^92 + 26*w^50*z^92 + z^100 + w^52*z^100)/
   (w^26*z^48), (2*w^28 + 28*w^26*z^8 + 182*w^28*z^8 + 28*w^30*z^8 +
    336*w^26*z^12 + 56*w^28*z^12 + 336*w^30*z^12 + 336*w^24*z^16 +
    1876*w^26*z^16 + 3234*w^28*z^16 + 1876*w^30*z^16 + 336*w^32*z^16 +
    3388*w^24*z^20 + 7616*w^26*z^20 + 9296*w^28*z^20 + 7616*w^30*z^20 +
    3388*w^32*z^20 + 2268*w^22*z^24 + 15960*w^24*z^24 + 31388*w^26*z^24 +
    45542*w^28*z^24 + 31388*w^30*z^24 + 15960*w^32*z^24 + 2268*w^34*z^24 +
    18760*w^22*z^28 + 56252*w^24*z^28 + 115864*w^26*z^28 + 129304*w^28*z^28 +
    115864*w^30*z^28 + 56252*w^32*z^28 + 18760*w^34*z^28 + 9520*w^20*z^32 +
    73024*w^22*z^32 + 191184*w^24*z^32 + 334152*w^26*z^32 +
    393974*w^28*z^32 + 334152*w^30*z^32 + 191184*w^32*z^32 +
    73024*w^34*z^32 + 9520*w^36*z^32 + 62748*w^20*z^36 + 220024*w^22*z^36 +
    547764*w^24*z^36 + 826056*w^26*z^36 + 992208*w^28*z^36 +
    826056*w^30*z^36 + 547764*w^32*z^36 + 220024*w^34*z^36 +
    62748*w^36*z^36 + 26012*w^18*z^40 + 197120*w^20*z^40 + 613648*w^22*z^40 +
    1232840*w^24*z^40 + 1842176*w^26*z^40 + 2068514*w^28*z^40 +
    1842176*w^30*z^40 + 1232840*w^32*z^40 + 613648*w^34*z^40 +
    197120*w^36*z^40 + 26012*w^38*z^40 + 131936*w^18*z^44 +
    498680*w^20*z^44 + 1359456*w^22*z^44 + 2388036*w^24*z^44 +
    3405584*w^26*z^44 + 3722432*w^28*z^44 + 3405584*w^30*z^44 +
    2388036*w^32*z^44 + 1359456*w^34*z^44 + 498680*w^36*z^44 +
    131936*w^38*z^44 + 47264*w^16*z^48 + 326172*w^18*z^48 +
    1111824*w^20*z^48 + 2353260*w^22*z^48 + 3968160*w^24*z^48 +
    5140828*w^26*z^48 + 5727526*w^28*z^48 + 5140828*w^30*z^48 +
    3968160*w^32*z^48 + 2353260*w^34*z^48 + 1111824*w^36*z^48 +
    326172*w^38*z^48 + 47264*w^40*z^48 + 176988*w^16*z^52 +
    678944*w^18*z^52 + 1853040*w^20*z^52 + 3457440*w^22*z^52 +
    5231940*w^24*z^52 + 6551104*w^26*z^52 + 7055272*w^28*z^52 +
    6551104*w^30*z^52 + 5231940*w^32*z^52 + 3457440*w^34*z^52 +
    1853040*w^36*z^52 + 678944*w^38*z^52 + 176988*w^40*z^52 +
    57628*w^14*z^56 + 336168*w^16*z^56 + 1163792*w^18*z^56 +
    2394448*w^20*z^56 + 4108328*w^22*z^56 + 5537112*w^24*z^56 +
    6743212*w^26*z^56 + 7015012*w^28*z^56 + 6743212*w^30*z^56 +
    5537112*w^32*z^56 + 4108328*w^34*z^56 + 2394448*w^36*z^56 +
    1163792*w^38*z^56 + 336168*w^40*z^56 + 57628*w^42*z^56 +
    151704*w^14*z^60 + 563108*w^16*z^60 + 1403976*w^18*z^60 +
    2558528*w^20*z^60 + 3717784*w^22*z^60 + 4801916*w^24*z^60 +
    5414024*w^26*z^60 + 5732104*w^28*z^60 + 5414024*w^30*z^60 +
    4801916*w^32*z^60 + 3717784*w^34*z^60 + 2558528*w^36*z^60 +
    1403976*w^38*z^60 + 563108*w^40*z^60 + 151704*w^42*z^60 +
    47264*w^12*z^64 + 217448*w^14*z^64 + 706608*w^16*z^64 +
    1308692*w^18*z^64 + 2081968*w^20*z^64 + 2699284*w^22*z^64 +
    3278401*w^24*z^64 + 3594836*w^26*z^64 + 3753540*w^28*z^64 +
    3594836*w^30*z^64 + 3278401*w^32*z^64 + 2699284*w^34*z^64 +
    2081968*w^36*z^64 + 1308692*w^38*z^64 + 706608*w^40*z^64 +
    217448*w^42*z^64 + 47264*w^44*z^64 + 82460*w^12*z^68 + 285432*w^14*z^68 +
    590296*w^16*z^68 + 979944*w^18*z^68 + 1272376*w^20*z^68 +
    1620472*w^22*z^68 + 1802668*w^24*z^68 + 2011128*w^26*z^68 +
    2000264*w^28*z^68 + 2011128*w^30*z^68 + 1802668*w^32*z^68 +
    1620472*w^34*z^68 + 1272376*w^36*z^68 + 979944*w^38*z^68 +
    590296*w^40*z^68 + 285432*w^42*z^68 + 82460*w^44*z^68 + 26012*w^10*z^72 +
    88704*w^12*z^72 + 246764*w^14*z^72 + 385056*w^16*z^72 +
    532700*w^18*z^72 + 659204*w^20*z^72 + 771260*w^22*z^72 +
    862610*w^24*z^72 + 905100*w^26*z^72 + 937286*w^28*z^72 +
    905100*w^30*z^72 + 862610*w^32*z^72 + 771260*w^34*z^72 +
    659204*w^36*z^72 + 532700*w^38*z^72 + 385056*w^40*z^72 +
    246764*w^42*z^72 + 88704*w^44*z^72 + 26012*w^46*z^72 + 27888*w^10*z^76 +
    87584*w^12*z^76 + 135128*w^14*z^76 + 197960*w^16*z^76 +
    227416*w^18*z^76 + 288792*w^20*z^76 + 305704*w^22*z^76 +
    348012*w^24*z^76 + 349944*w^26*z^76 + 368536*w^28*z^76 +
    349944*w^30*z^76 + 348012*w^32*z^76 + 305704*w^34*z^76 +
    288792*w^36*z^76 + 227416*w^38*z^76 + 197960*w^40*z^76 +
    135128*w^42*z^76 + 87584*w^44*z^76 + 27888*w^46*z^76 + 9520*w^8*z^80 +
    22820*w^10*z^80 + 48048*w^12*z^80 + 60732*w^14*z^80 + 72646*w^16*z^80 +
    90636*w^18*z^80 + 96096*w^20*z^80 + 111244*w^22*z^80 + 112329*w^24*z^80 +
    121744*w^26*z^80 + 118104*w^28*z^80 + 121744*w^30*z^80 +
    112329*w^32*z^80 + 111244*w^34*z^80 + 96096*w^36*z^80 + 90636*w^38*z^80 +
    72646*w^40*z^80 + 60732*w^42*z^80 + 48048*w^44*z^80 + 22820*w^46*z^80 +
    9520*w^48*z^80 + 5628*w^8*z^84 + 15680*w^10*z^84 + 15708*w^12*z^84 +
    21896*w^14*z^84 + 23128*w^16*z^84 + 28280*w^18*z^84 + 28448*w^20*z^84 +
    33096*w^22*z^84 + 31640*w^24*z^84 + 35672*w^26*z^84 + 32704*w^28*z^84 +
    35672*w^30*z^84 + 31640*w^32*z^84 + 33096*w^34*z^84 + 28448*w^36*z^84 +
    28280*w^38*z^84 + 23128*w^40*z^84 + 21896*w^42*z^84 + 15708*w^44*z^84 +
    15680*w^46*z^84 + 5628*w^48*z^84 + 2268*w^6*z^88 + 3640*w^8*z^88 +
    4788*w^10*z^88 + 5250*w^12*z^88 + 5768*w^14*z^88 + 7112*w^16*z^88 +
    6524*w^18*z^88 + 8512*w^20*z^88 + 7028*w^22*z^88 + 9380*w^24*z^88 +
    7280*w^26*z^88 + 9674*w^28*z^88 + 7280*w^30*z^88 + 9380*w^32*z^88 +
    7028*w^34*z^88 + 8512*w^36*z^88 + 6524*w^38*z^88 + 7112*w^40*z^88 +
    5768*w^42*z^88 + 5250*w^44*z^88 + 4788*w^46*z^88 + 3640*w^48*z^88 +
    2268*w^50*z^88 + 616*w^6*z^92 + 1484*w^8*z^92 + 728*w^10*z^92 +
    1456*w^12*z^92 + 1176*w^14*z^92 + 1456*w^16*z^92 + 1512*w^18*z^92 +
    1456*w^20*z^92 + 1736*w^22*z^92 + 1456*w^24*z^92 + 1848*w^26*z^92 +
    1456*w^28*z^92 + 1848*w^30*z^92 + 1456*w^32*z^92 + 1736*w^34*z^92 +
    1456*w^36*z^92 + 1512*w^38*z^92 + 1456*w^40*z^92 + 1176*w^42*z^92 +
    1456*w^44*z^92 + 728*w^46*z^92 + 1484*w^48*z^92 + 616*w^50*z^92 +
    336*w^4*z^96 + 336*w^6*z^96 + 189*w^8*z^96 + 308*w^10*z^96 +
    252*w^12*z^96 + 308*w^14*z^96 + 301*w^16*z^96 + 308*w^18*z^96 +
    336*w^20*z^96 + 308*w^22*z^96 + 357*w^24*z^96 + 308*w^26*z^96 +
    364*w^28*z^96 + 308*w^30*z^96 + 357*w^32*z^96 + 308*w^34*z^96 +
    336*w^36*z^96 + 308*w^38*z^96 + 301*w^40*z^96 + 308*w^42*z^96 +
    252*w^44*z^96 + 308*w^46*z^96 + 189*w^48*z^96 + 336*w^50*z^96 +
    336*w^52*z^96 + 28*w^4*z^100 + 56*w^6*z^100 + 56*w^10*z^100 +
    56*w^14*z^100 + 56*w^18*z^100 + 56*w^22*z^100 + 56*w^26*z^100 +
    56*w^30*z^100 + 56*w^34*z^100 + 56*w^38*z^100 + 56*w^42*z^100 +
    56*w^46*z^100 + 56*w^50*z^100 + 28*w^52*z^100 + 28*w^2*z^104 +
    14*w^4*z^104 + 14*w^8*z^104 + 14*w^12*z^104 + 14*w^16*z^104 +
    14*w^20*z^104 + 14*w^24*z^104 + 14*w^28*z^104 + 14*w^32*z^104 +
    14*w^36*z^104 + 14*w^40*z^104 + 14*w^44*z^104 + 14*w^48*z^104 +
    14*w^52*z^104 + 28*w^54*z^104 + z^112 + w^56*z^112)/(w^28*z^56),
  (30*w^30 + 30*w^28*z^4 + 30*w^32*z^4 + 390*w^28*z^8 + 970*w^30*z^8 +
    390*w^32*z^8 + 390*w^26*z^12 + 2370*w^28*z^12 + 1440*w^30*z^12 +
    2370*w^32*z^12 + 390*w^34*z^12 + 4320*w^26*z^16 + 10290*w^28*z^16 +
    17946*w^30*z^16 + 10290*w^32*z^16 + 4320*w^34*z^16 + 2890*w^24*z^20 +
    22440*w^26*z^20 + 44250*w^28*z^20 + 55860*w^30*z^20 + 44250*w^32*z^20 +
    22440*w^34*z^20 + 2890*w^36*z^20 + 26730*w^24*z^24 + 85260*w^26*z^24 +
    174810*w^28*z^24 + 210390*w^30*z^24 + 174810*w^32*z^24 +
    85260*w^34*z^24 + 26730*w^36*z^24 + 13530*w^22*z^28 + 116580*w^24*z^28 +
    307560*w^26*z^28 + 551640*w^28*z^28 + 634980*w^30*z^28 +
    551640*w^32*z^28 + 307560*w^34*z^28 + 116580*w^36*z^28 +
    13530*w^38*z^28 + 102000*w^22*z^32 + 382500*w^24*z^32 +
    964440*w^26*z^32 + 1485000*w^28*z^32 + 1791010*w^30*z^32 +
    1485000*w^32*z^32 + 964440*w^34*z^32 + 382500*w^36*z^32 +
    102000*w^38*z^32 + 42006*w^20*z^36 + 366030*w^22*z^36 +
    1157040*w^24*z^36 + 2421480*w^26*z^36 + 3634680*w^28*z^36 +
    4137420*w^30*z^36 + 3634680*w^32*z^36 + 2421480*w^34*z^36 +
    1157040*w^36*z^36 + 366030*w^38*z^36 + 42006*w^40*z^36 +
    250830*w^20*z^40 + 1021500*w^22*z^40 + 2888760*w^24*z^40 +
    5229900*w^26*z^40 + 7600560*w^28*z^40 + 8353590*w^30*z^40 +
    7600560*w^32*z^40 + 5229900*w^34*z^40 + 2888760*w^36*z^40 +
    1021500*w^38*z^40 + 250830*w^40*z^40 + 88590*w^18*z^44 +
    724470*w^20*z^44 + 2543640*w^22*z^44 + 5733310*w^24*z^44 +
    9908100*w^26*z^44 + 13231950*w^28*z^44 + 14746520*w^30*z^44 +
    13231950*w^32*z^44 + 9908100*w^34*z^44 + 5733310*w^36*z^44 +
    2543640*w^38*z^44 + 724470*w^40*z^44 + 88590*w^42*z^44 +
    405120*w^18*z^48 + 1691190*w^20*z^48 + 4960380*w^22*z^48 +
    9727230*w^24*z^48 + 15454800*w^26*z^48 + 19775790*w^28*z^48 +
    21609150*w^30*z^48 + 19775790*w^32*z^48 + 15454800*w^34*z^48 +
    9727230*w^36*z^48 + 4960380*w^38*z^48 + 1691190*w^40*z^48 +
    405120*w^42*z^48 + 128370*w^16*z^52 + 921060*w^18*z^52 +
    3367380*w^20*z^52 + 7617060*w^22*z^52 + 13855320*w^24*z^52 +
    19783980*w^26*z^52 + 24760290*w^28*z^52 + 26149980*w^30*z^52 +
    24760290*w^32*z^52 + 19783980*w^34*z^52 + 13855320*w^36*z^52 +
    7617060*w^38*z^52 + 3367380*w^40*z^52 + 921060*w^42*z^52 +
    128370*w^44*z^52 + 432210*w^16*z^56 + 1766620*w^18*z^56 +
    4977276*w^20*z^56 + 9830820*w^22*z^56 + 15644960*w^24*z^56 +
    21173940*w^26*z^56 + 24938130*w^28*z^56 + 26442394*w^30*z^56 +
    24938130*w^32*z^56 + 21173940*w^34*z^56 + 15644960*w^36*z^56 +
    9830820*w^38*z^56 + 4977276*w^40*z^56 + 1766620*w^42*z^56 +
    432210*w^44*z^56 + 128370*w^14*z^60 + 758520*w^16*z^60 +
    2709870*w^18*z^60 + 5749830*w^20*z^60 + 10137120*w^22*z^60 +
    14293950*w^24*z^60 + 18283650*w^26*z^60 + 20594805*w^28*z^60 +
    21704700*w^30*z^60 + 20594805*w^32*z^60 + 18283650*w^34*z^60 +
    14293950*w^36*z^60 + 10137120*w^38*z^60 + 5749830*w^40*z^60 +
    2709870*w^42*z^60 + 758520*w^44*z^60 + 128370*w^46*z^60 +
    303840*w^14*z^64 + 1172280*w^16*z^64 + 2929680*w^18*z^64 +
    5452950*w^20*z^64 + 8050380*w^22*z^64 + 10758990*w^24*z^64 +
    12658560*w^26*z^64 + 14240550*w^28*z^64 + 14503500*w^30*z^64 +
    14240550*w^32*z^64 + 12658560*w^34*z^64 + 10758990*w^36*z^64 +
    8050380*w^38*z^64 + 5452950*w^40*z^64 + 2929680*w^42*z^64 +
    1172280*w^44*z^64 + 303840*w^46*z^64 + 88590*w^12*z^68 +
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    1239960*w^38*z^76 + 1052508*w^40*z^76 + 830940*w^42*z^76 +
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    287010*w^16*z^80 + 334160*w^18*z^80 + 426690*w^20*z^80 +
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    547200*w^34*z^80 + 529530*w^36*z^80 + 460260*w^38*z^80 +
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    37890*w^20*z^88 + 43500*w^22*z^88 + 42990*w^24*z^88 + 48000*w^26*z^88 +
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    42990*w^36*z^88 + 43500*w^38*z^88 + 37890*w^40*z^88 + 36600*w^42*z^88 +
    30240*w^44*z^88 + 28200*w^46*z^88 + 20070*w^48*z^88 + 20460*w^50*z^88 +
    7290*w^52*z^88 + 2890*w^6*z^92 + 4620*w^8*z^92 + 5820*w^10*z^92 +
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    8865*w^44*z^92 + 7140*w^46*z^92 + 6545*w^48*z^92 + 5820*w^50*z^92 +
    4620*w^52*z^92 + 2890*w^54*z^92 + 720*w^6*z^96 + 1740*w^8*z^96 +
    840*w^10*z^96 + 1710*w^12*z^96 + 1380*w^14*z^96 + 1710*w^16*z^96 +
    1800*w^18*z^96 + 1710*w^20*z^96 + 2100*w^22*z^96 + 1710*w^24*z^96 +
    2280*w^26*z^96 + 1710*w^28*z^96 + 2340*w^30*z^96 + 1710*w^32*z^96 +
    2280*w^34*z^96 + 1710*w^36*z^96 + 2100*w^38*z^96 + 1710*w^40*z^96 +
    1800*w^42*z^96 + 1710*w^44*z^96 + 1380*w^46*z^96 + 1710*w^48*z^96 +
    840*w^50*z^96 + 1740*w^52*z^96 + 720*w^54*z^96 + 390*w^4*z^100 +
    390*w^6*z^100 + 210*w^8*z^100 + 360*w^10*z^100 + 285*w^12*z^100 +
    360*w^14*z^100 + 345*w^16*z^100 + 360*w^18*z^100 + 390*w^20*z^100 +
    360*w^22*z^100 + 420*w^24*z^100 + 360*w^26*z^100 + 435*w^28*z^100 +
    360*w^30*z^100 + 435*w^32*z^100 + 360*w^34*z^100 + 420*w^36*z^100 +
    360*w^38*z^100 + 390*w^40*z^100 + 360*w^42*z^100 + 345*w^44*z^100 +
    360*w^46*z^100 + 285*w^48*z^100 + 360*w^50*z^100 + 210*w^52*z^100 +
    390*w^54*z^100 + 390*w^56*z^100 + 30*w^4*z^104 + 60*w^6*z^104 +
    60*w^10*z^104 + 60*w^14*z^104 + 60*w^18*z^104 + 60*w^22*z^104 +
    60*w^26*z^104 + 60*w^30*z^104 + 60*w^34*z^104 + 60*w^38*z^104 +
    60*w^42*z^104 + 60*w^46*z^104 + 60*w^50*z^104 + 60*w^54*z^104 +
    30*w^56*z^104 + 30*w^2*z^108 + 15*w^4*z^108 + 15*w^8*z^108 +
    15*w^12*z^108 + 15*w^16*z^108 + 15*w^20*z^108 + 15*w^24*z^108 +
    15*w^28*z^108 + 15*w^32*z^108 + 15*w^36*z^108 + 15*w^40*z^108 +
    15*w^44*z^108 + 15*w^48*z^108 + 15*w^52*z^108 + 15*w^56*z^108 +
    30*w^58*z^108 + z^116 + w^60*z^116)/(w^30*z^56),
  (2*w^32 + 32*w^30*z^8 + 240*w^32*z^8 + 32*w^34*z^8 + 448*w^30*z^12 +
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    18688*w^56*z^96 + 9248*w^8*z^100 + 26112*w^10*z^100 + 25152*w^12*z^100 +
    35584*w^14*z^100 + 38656*w^16*z^100 + 46336*w^18*z^100 +
    49184*w^20*z^100 + 55744*w^22*z^100 + 56704*w^24*z^100 +
    62656*w^26*z^100 + 61216*w^28*z^100 + 66304*w^30*z^100 +
    62720*w^32*z^100 + 66304*w^34*z^100 + 61216*w^36*z^100 +
    62656*w^38*z^100 + 56704*w^40*z^100 + 55744*w^42*z^100 +
    49184*w^44*z^100 + 46336*w^46*z^100 + 38656*w^48*z^100 +
    35584*w^50*z^100 + 25152*w^52*z^100 + 26112*w^54*z^100 +
    9248*w^56*z^100 + 3616*w^6*z^104 + 5760*w^8*z^104 + 6976*w^10*z^104 +
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    13216*w^20*z^104 + 11168*w^22*z^104 + 14976*w^24*z^104 +
    11872*w^26*z^104 + 16064*w^28*z^104 + 12224*w^30*z^104 +
    16432*w^32*z^104 + 12224*w^34*z^104 + 16064*w^36*z^104 +
    11872*w^38*z^104 + 14976*w^40*z^104 + 11168*w^42*z^104 +
    13216*w^44*z^104 + 10112*w^46*z^104 + 10864*w^48*z^104 +
    8704*w^50*z^104 + 8032*w^52*z^104 + 6976*w^54*z^104 + 5760*w^56*z^104 +
    3616*w^58*z^104 + 832*w^6*z^108 + 2016*w^8*z^108 + 960*w^10*z^108 +
    1984*w^12*z^108 + 1600*w^14*z^108 + 1984*w^16*z^108 + 2112*w^18*z^108 +
    1984*w^20*z^108 + 2496*w^22*z^108 + 1984*w^24*z^108 + 2752*w^26*z^108 +
    1984*w^28*z^108 + 2880*w^30*z^108 + 1984*w^32*z^108 + 2880*w^34*z^108 +
    1984*w^36*z^108 + 2752*w^38*z^108 + 1984*w^40*z^108 + 2496*w^42*z^108 +
    1984*w^44*z^108 + 2112*w^46*z^108 + 1984*w^48*z^108 + 1600*w^50*z^108 +
    1984*w^52*z^108 + 960*w^54*z^108 + 2016*w^56*z^108 + 832*w^58*z^108 +
    448*w^4*z^112 + 448*w^6*z^112 + 232*w^8*z^112 + 416*w^10*z^112 +
    320*w^12*z^112 + 416*w^14*z^112 + 392*w^16*z^112 + 416*w^18*z^112 +
    448*w^20*z^112 + 416*w^22*z^112 + 488*w^24*z^112 + 416*w^26*z^112 +
    512*w^28*z^112 + 416*w^30*z^112 + 520*w^32*z^112 + 416*w^34*z^112 +
    512*w^36*z^112 + 416*w^38*z^112 + 488*w^40*z^112 + 416*w^42*z^112 +
    448*w^44*z^112 + 416*w^46*z^112 + 392*w^48*z^112 + 416*w^50*z^112 +
    320*w^52*z^112 + 416*w^54*z^112 + 232*w^56*z^112 + 448*w^58*z^112 +
    448*w^60*z^112 + 32*w^4*z^116 + 64*w^6*z^116 + 64*w^10*z^116 +
    64*w^14*z^116 + 64*w^18*z^116 + 64*w^22*z^116 + 64*w^26*z^116 +
    64*w^30*z^116 + 64*w^34*z^116 + 64*w^38*z^116 + 64*w^42*z^116 +
    64*w^46*z^116 + 64*w^50*z^116 + 64*w^54*z^116 + 64*w^58*z^116 +
    32*w^60*z^116 + 32*w^2*z^120 + 16*w^4*z^120 + 16*w^8*z^120 +
    16*w^12*z^120 + 16*w^16*z^120 + 16*w^20*z^120 + 16*w^24*z^120 +
    16*w^28*z^120 + 16*w^32*z^120 + 16*w^36*z^120 + 16*w^40*z^120 +
    16*w^44*z^120 + 16*w^48*z^120 + 16*w^52*z^120 + 16*w^56*z^120 +
    16*w^60*z^120 + 32*w^62*z^120 + z^128 + w^64*z^128)/(w^32*z^64),
  (34*w^34 + 34*w^32*z^4 + 34*w^36*z^4 + 510*w^32*z^8 + 1428*w^34*z^8 +
    510*w^36*z^8 + 510*w^30*z^12 + 3604*w^32*z^12 + 1904*w^34*z^12 +
    3604*w^36*z^12 + 510*w^38*z^12 + 6664*w^30*z^16 + 17748*w^32*z^16 +
    31008*w^34*z^16 + 17748*w^36*z^16 + 6664*w^38*z^16 + 4454*w^28*z^20 +
    41106*w^30*z^20 + 82688*w^32*z^20 + 103156*w^34*z^20 + 82688*w^36*z^20 +
    41106*w^38*z^20 + 4454*w^40*z^20 + 49946*w^28*z^24 + 179588*w^30*z^24 +
    364616*w^32*z^24 + 459748*w^34*z^24 + 364616*w^36*z^24 +
    179588*w^38*z^24 + 49946*w^40*z^24 + 25194*w^26*z^28 + 265302*w^28*z^28 +
    719712*w^30*z^28 + 1337186*w^32*z^28 + 1525648*w^34*z^28 +
    1337186*w^36*z^28 + 719712*w^38*z^28 + 265302*w^40*z^28 +
    25194*w^42*z^28 + 238272*w^26*z^32 + 1017722*w^28*z^32 +
    2604468*w^30*z^32 + 4171358*w^32*z^32 + 5009492*w^34*z^32 +
    4171358*w^36*z^32 + 2604468*w^38*z^32 + 1017722*w^40*z^32 +
    238272*w^42*z^32 + 97274*w^24*z^36 + 1073380*w^26*z^36 +
    3523284*w^28*z^36 + 7819728*w^30*z^36 + 11859744*w^32*z^36 +
    13759528*w^34*z^36 + 11859744*w^36*z^36 + 7819728*w^38*z^36 +
    3523284*w^40*z^36 + 1073380*w^42*z^36 + 97274*w^44*z^36 +
    760342*w^24*z^40 + 3574148*w^26*z^40 + 10584812*w^28*z^40 +
    20194844*w^30*z^40 + 29971136*w^32*z^40 + 33375148*w^34*z^40 +
    29971136*w^36*z^40 + 20194844*w^38*z^40 + 10584812*w^40*z^40 +
    3574148*w^42*z^40 + 760342*w^44*z^40 + 263670*w^22*z^44 +
    2856408*w^24*z^44 + 10587226*w^26*z^44 + 26120058*w^28*z^44 +
    46706140*w^30*z^44 + 65061346*w^32*z^44 + 72472156*w^34*z^44 +
    65061346*w^36*z^44 + 46706140*w^38*z^44 + 26120058*w^40*z^44 +
    10587226*w^42*z^44 + 2856408*w^44*z^44 + 263670*w^46*z^44 +
    1663960*w^22*z^48 + 8153744*w^24*z^48 + 26182448*w^26*z^48 +
    55458318*w^28*z^48 + 93483068*w^30*z^48 + 123650486*w^32*z^48 +
    137115880*w^34*z^48 + 123650486*w^36*z^48 + 93483068*w^38*z^48 +
    55458318*w^40*z^48 + 26182448*w^42*z^48 + 8153744*w^44*z^48 +
    1663960*w^46*z^48 + 509422*w^20*z^52 + 5120502*w^22*z^52 +
    20321562*w^24*z^52 + 52560396*w^26*z^52 + 103004734*w^28*z^52 +
    159090760*w^30*z^52 + 205891012*w^32*z^52 + 222298052*w^34*z^52 +
    205891012*w^36*z^52 + 159090760*w^38*z^52 + 103004734*w^40*z^52 +
    52560396*w^42*z^52 + 20321562*w^44*z^52 + 5120502*w^46*z^52 +
    509422*w^48*z^52 + 2526642*w^20*z^56 + 12367364*w^22*z^56 +
    40625070*w^24*z^56 + 90186904*w^26*z^56 + 160985002*w^28*z^56 +
    233839420*w^30*z^56 + 291451604*w^32*z^56 + 311775716*w^34*z^56 +
    291451604*w^36*z^56 + 233839420*w^38*z^56 + 160985002*w^40*z^56 +
    90186904*w^42*z^56 + 40625070*w^44*z^56 + 12367364*w^46*z^56 +
    2526642*w^48*z^56 + 706962*w^18*z^60 + 6255898*w^20*z^60 +
    25362674*w^22*z^60 + 65186534*w^24*z^60 + 131443660*w^26*z^60 +
    210792146*w^28*z^60 + 292622190*w^30*z^60 + 348770606*w^32*z^60 +
    372567104*w^34*z^60 + 348770606*w^36*z^60 + 292622190*w^38*z^60 +
    210792146*w^40*z^60 + 131443660*w^42*z^60 + 65186534*w^44*z^60 +
    25362674*w^46*z^60 + 6255898*w^48*z^60 + 706962*w^50*z^60 +
    2672128*w^18*z^64 + 12614374*w^20*z^64 + 40025956*w^22*z^64 +
    88332034*w^24*z^64 + 156692808*w^26*z^64 + 233911670*w^28*z^64 +
    304206364*w^30*z^64 + 354463906*w^32*z^64 + 371449458*w^34*z^64 +
    354463906*w^36*z^64 + 304206364*w^38*z^64 + 233911670*w^40*z^64 +
    156692808*w^42*z^64 + 88332034*w^44*z^64 + 40025956*w^46*z^64 +
    12614374*w^48*z^64 + 2672128*w^50*z^64 + 706962*w^16*z^68 +
    5237496*w^18*z^68 + 20714806*w^20*z^68 + 50264954*w^22*z^68 +
    98274484*w^24*z^68 + 154421812*w^26*z^68 + 215377420*w^28*z^68 +
    265081510*w^30*z^68 + 301345383*w^32*z^68 + 311998824*w^34*z^68 +
    301345383*w^36*z^68 + 265081510*w^38*z^68 + 215377420*w^40*z^68 +
    154421812*w^42*z^68 + 98274484*w^44*z^68 + 50264954*w^46*z^68 +
    20714806*w^48*z^68 + 5237496*w^50*z^68 + 706962*w^52*z^68 +
    1965166*w^16*z^72 + 8694276*w^18*z^72 + 25118826*w^20*z^72 +
    52443640*w^22*z^72 + 87306900*w^24*z^72 + 127178224*w^26*z^72 +
    163368028*w^28*z^72 + 195655176*w^30*z^72 + 214522490*w^32*z^72 +
    223234004*w^34*z^72 + 214522490*w^36*z^72 + 195655176*w^38*z^72 +
    163368028*w^40*z^72 + 127178224*w^42*z^72 + 87306900*w^44*z^72 +
    52443640*w^46*z^72 + 25118826*w^48*z^72 + 8694276*w^50*z^72 +
    1965166*w^52*z^72 + 509422*w^14*z^76 + 3012060*w^16*z^76 +
    11064484*w^18*z^76 + 24148296*w^20*z^76 + 43357140*w^22*z^76 +
    64013228*w^24*z^76 + 85958460*w^26*z^76 + 105342472*w^28*z^76 +
    121344912*w^30*z^76 + 131405308*w^32*z^76 + 134984624*w^34*z^76 +
    131405308*w^36*z^76 + 121344912*w^38*z^76 + 105342472*w^40*z^76 +
    85958460*w^42*z^76 + 64013228*w^44*z^76 + 43357140*w^46*z^76 +
    24148296*w^48*z^76 + 11064484*w^50*z^76 + 3012060*w^52*z^76 +
    509422*w^54*z^76 + 998376*w^14*z^80 + 4047564*w^16*z^80 +
    10004568*w^18*z^80 + 18918144*w^20*z^80 + 28303368*w^22*z^80 +
    39253884*w^24*z^80 + 48579744*w^26*z^80 + 58194060*w^28*z^80 +
    64286520*w^30*z^80 + 69471384*w^32*z^80 + 70179944*w^34*z^80 +
    69471384*w^36*z^80 + 64286520*w^38*z^80 + 58194060*w^40*z^80 +
    48579744*w^42*z^80 + 39253884*w^44*z^80 + 28303368*w^46*z^80 +
    18918144*w^48*z^80 + 10004568*w^50*z^80 + 4047564*w^52*z^80 +
    998376*w^54*z^80 + 263670*w^12*z^84 + 1190170*w^14*z^84 +
    3833228*w^16*z^84 + 7200316*w^18*z^84 + 11362902*w^20*z^84 +
    15584512*w^22*z^84 + 19825298*w^24*z^84 + 23951164*w^26*z^84 +
    27144002*w^28*z^84 + 30007652*w^30*z^84 + 31370202*w^32*z^84 +
    32207996*w^34*z^84 + 31370202*w^36*z^84 + 30007652*w^38*z^84 +
    27144002*w^40*z^84 + 23951164*w^42*z^84 + 19825298*w^44*z^84 +
    15584512*w^46*z^84 + 11362902*w^48*z^84 + 7200316*w^50*z^84 +
    3833228*w^52*z^84 + 1190170*w^54*z^84 + 263670*w^56*z^84 +
    345610*w^12*z^88 + 1262148*w^14*z^88 + 2493084*w^16*z^88 +
    4138956*w^18*z^88 + 5470226*w^20*z^88 + 7263760*w^22*z^88 +
    8577792*w^24*z^88 + 10119760*w^26*z^88 + 11084612*w^28*z^88 +
    12115832*w^30*z^88 + 12472866*w^32*z^88 + 12831668*w^34*z^88 +
    12472866*w^36*z^88 + 12115832*w^38*z^88 + 11084612*w^40*z^88 +
    10119760*w^42*z^88 + 8577792*w^44*z^88 + 7263760*w^46*z^88 +
    5470226*w^48*z^88 + 4138956*w^50*z^88 + 2493084*w^52*z^88 +
    1262148*w^54*z^88 + 345610*w^56*z^88 + 97274*w^10*z^92 +
    322014*w^12*z^92 + 843404*w^14*z^92 + 1315426*w^16*z^92 +
    1783742*w^18*z^92 + 2337534*w^20*z^92 + 2773074*w^22*z^92 +
    3303270*w^24*z^92 + 3616784*w^26*z^92 + 4052698*w^28*z^92 +
    4178498*w^30*z^92 + 4461378*w^32*z^92 + 4375052*w^34*z^92 +
    4461378*w^36*z^92 + 4178498*w^38*z^92 + 4052698*w^40*z^92 +
    3616784*w^42*z^92 + 3303270*w^44*z^92 + 2773074*w^46*z^92 +
    2337534*w^48*z^92 + 1783742*w^50*z^92 + 1315426*w^52*z^92 +
    843404*w^54*z^92 + 322014*w^56*z^92 + 97274*w^58*z^92 + 79424*w^10*z^96 +
    257618*w^12*z^96 + 374612*w^14*z^96 + 546958*w^16*z^96 +
    652120*w^18*z^96 + 834292*w^20*z^96 + 928200*w^22*z^96 +
    1079092*w^24*z^96 + 1159400*w^26*z^96 + 1256232*w^28*z^96 +
    1312400*w^30*z^96 + 1348984*w^32*z^96 + 1365848*w^34*z^96 +
    1348984*w^36*z^96 + 1312400*w^38*z^96 + 1256232*w^40*z^96 +
    1159400*w^42*z^96 + 1079092*w^44*z^96 + 928200*w^46*z^96 +
    834292*w^48*z^96 + 652120*w^50*z^96 + 546958*w^52*z^96 +
    374612*w^54*z^96 + 257618*w^56*z^96 + 79424*w^58*z^96 + 25194*w^8*z^100 +
    58956*w^10*z^100 + 112608*w^12*z^100 + 144500*w^14*z^100 +
    171411*w^16*z^100 + 223312*w^18*z^100 + 235433*w^20*z^100 +
    287810*w^22*z^100 + 292910*w^24*z^100 + 335580*w^26*z^100 +
    335818*w^28*z^100 + 364922*w^30*z^100 + 358666*w^32*z^100 +
    374816*w^34*z^100 + 358666*w^36*z^100 + 364922*w^38*z^100 +
    335818*w^40*z^100 + 335580*w^42*z^100 + 292910*w^44*z^100 +
    287810*w^46*z^100 + 235433*w^48*z^100 + 223312*w^50*z^100 +
    171411*w^52*z^100 + 144500*w^54*z^100 + 112608*w^56*z^100 +
    58956*w^58*z^100 + 25194*w^60*z^100 + 11526*w^8*z^104 +
    32708*w^10*z^104 + 31008*w^12*z^104 + 44132*w^14*z^104 +
    48484*w^16*z^104 + 57596*w^18*z^104 + 62492*w^20*z^104 +
    69972*w^22*z^104 + 72998*w^24*z^104 + 79832*w^26*z^104 +
    80002*w^28*z^104 + 86156*w^30*z^104 + 83504*w^32*z^104 +
    88332*w^34*z^104 + 83504*w^36*z^104 + 86156*w^38*z^104 +
    80002*w^40*z^104 + 79832*w^42*z^104 + 72998*w^44*z^104 +
    69972*w^46*z^104 + 62492*w^48*z^104 + 57596*w^50*z^104 +
    48484*w^52*z^104 + 44132*w^54*z^104 + 31008*w^56*z^104 +
    32708*w^58*z^104 + 11526*w^60*z^104 + 4454*w^6*z^108 + 7072*w^8*z^108 +
    8262*w^10*z^108 + 9724*w^12*z^108 + 10472*w^14*z^108 + 13124*w^16*z^108 +
    12308*w^18*z^108 + 16048*w^20*z^108 + 13736*w^22*z^108 +
    18360*w^24*z^108 + 14756*w^26*z^108 + 19958*w^28*z^108 +
    15368*w^30*z^108 + 20774*w^32*z^108 + 15572*w^34*z^108 +
    20774*w^36*z^108 + 15368*w^38*z^108 + 19958*w^40*z^108 +
    14756*w^42*z^108 + 18360*w^44*z^108 + 13736*w^46*z^108 +
    16048*w^48*z^108 + 12308*w^50*z^108 + 13124*w^52*z^108 +
    10472*w^54*z^108 + 9724*w^56*z^108 + 8262*w^58*z^108 + 7072*w^60*z^108 +
    4454*w^62*z^108 + 952*w^6*z^112 + 2312*w^8*z^112 + 1088*w^10*z^112 +
    2278*w^12*z^112 + 1836*w^14*z^112 + 2278*w^16*z^112 + 2448*w^18*z^112 +
    2278*w^20*z^112 + 2924*w^22*z^112 + 2278*w^24*z^112 + 3264*w^26*z^112 +
    2278*w^28*z^112 + 3468*w^30*z^112 + 2278*w^32*z^112 + 3536*w^34*z^112 +
    2278*w^36*z^112 + 3468*w^38*z^112 + 2278*w^40*z^112 + 3264*w^42*z^112 +
    2278*w^44*z^112 + 2924*w^46*z^112 + 2278*w^48*z^112 + 2448*w^50*z^112 +
    2278*w^52*z^112 + 1836*w^54*z^112 + 2278*w^56*z^112 + 1088*w^58*z^112 +
    2312*w^60*z^112 + 952*w^62*z^112 + 510*w^4*z^116 + 510*w^6*z^116 +
    255*w^8*z^116 + 476*w^10*z^116 + 357*w^12*z^116 + 476*w^14*z^116 +
    442*w^16*z^116 + 476*w^18*z^116 + 510*w^20*z^116 + 476*w^22*z^116 +
    561*w^24*z^116 + 476*w^26*z^116 + 595*w^28*z^116 + 476*w^30*z^116 +
    612*w^32*z^116 + 476*w^34*z^116 + 612*w^36*z^116 + 476*w^38*z^116 +
    595*w^40*z^116 + 476*w^42*z^116 + 561*w^44*z^116 + 476*w^46*z^116 +
    510*w^48*z^116 + 476*w^50*z^116 + 442*w^52*z^116 + 476*w^54*z^116 +
    357*w^56*z^116 + 476*w^58*z^116 + 255*w^60*z^116 + 510*w^62*z^116 +
    510*w^64*z^116 + 34*w^4*z^120 + 68*w^6*z^120 + 68*w^10*z^120 +
    68*w^14*z^120 + 68*w^18*z^120 + 68*w^22*z^120 + 68*w^26*z^120 +
    68*w^30*z^120 + 68*w^34*z^120 + 68*w^38*z^120 + 68*w^42*z^120 +
    68*w^46*z^120 + 68*w^50*z^120 + 68*w^54*z^120 + 68*w^58*z^120 +
    68*w^62*z^120 + 34*w^64*z^120 + 34*w^2*z^124 + 17*w^4*z^124 +
    17*w^8*z^124 + 17*w^12*z^124 + 17*w^16*z^124 + 17*w^20*z^124 +
    17*w^24*z^124 + 17*w^28*z^124 + 17*w^32*z^124 + 17*w^36*z^124 +
    17*w^40*z^124 + 17*w^44*z^124 + 17*w^48*z^124 + 17*w^52*z^124 +
    17*w^56*z^124 + 17*w^60*z^124 + 17*w^64*z^124 + 34*w^66*z^124 + z^132 +
    w^68*z^132)/(w^34*z^64), (2*w^36 + 36*w^34*z^8 + 306*w^36*z^8 +
    36*w^38*z^8 + 576*w^34*z^12 + 72*w^36*z^12 + 576*w^38*z^12 +
    576*w^32*z^16 + 4356*w^34*z^16 + 8280*w^36*z^16 + 4356*w^38*z^16 +
    576*w^40*z^16 + 8100*w^32*z^20 + 22752*w^34*z^20 + 22752*w^36*z^20 +
    22752*w^38*z^20 + 8100*w^40*z^20 + 5412*w^30*z^24 + 53928*w^32*z^24 +
    110160*w^34*z^24 + 172920*w^36*z^24 + 110160*w^38*z^24 +
    53928*w^40*z^24 + 5412*w^42*z^24 + 66024*w^30*z^28 + 251388*w^32*z^28 +
    508536*w^34*z^28 + 591696*w^36*z^28 + 508536*w^38*z^28 +
    251388*w^40*z^28 + 66024*w^42*z^28 + 33264*w^28*z^32 + 382392*w^30*z^32 +
    1057104*w^32*z^32 + 1987164*w^34*z^32 + 2351628*w^36*z^32 +
    1987164*w^38*z^32 + 1057104*w^40*z^32 + 382392*w^42*z^32 +
    33264*w^44*z^32 + 346788*w^28*z^36 + 1576200*w^30*z^36 +
    4056264*w^32*z^36 + 6613560*w^34*z^36 + 7826064*w^36*z^36 +
    6613560*w^38*z^36 + 4056264*w^40*z^36 + 1576200*w^42*z^36 +
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   (w^54*z^104), (2*w^56 + 56*w^54*z^8 + 756*w^56*z^8 + 56*w^58*z^8 +
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    48196200*w^46*z^204 + 47666220*w^48*z^204 + 51693240*w^50*z^204 +
    50301720*w^52*z^204 + 54113800*w^54*z^204 + 51918060*w^56*z^204 +
    55351320*w^58*z^204 + 52462680*w^60*z^204 + 55351320*w^62*z^204 +
    51918060*w^64*z^204 + 54113800*w^66*z^204 + 50301720*w^68*z^204 +
    51693240*w^70*z^204 + 47666220*w^72*z^204 + 48196200*w^74*z^204 +
    44099160*w^76*z^204 + 43776520*w^78*z^204 + 39723180*w^80*z^204 +
    38628120*w^82*z^204 + 34695960*w^84*z^204 + 32975400*w^86*z^204 +
    29210220*w^88*z^204 + 27061240*w^90*z^204 + 23493720*w^92*z^204 +
    21132600*w^94*z^204 + 17809260*w^96*z^204 + 15423720*w^98*z^204 +
    12454680*w^100*z^204 + 10136920*w^102*z^204 + 7762920*w^104*z^204 +
    5428440*w^106*z^204 + 4248800*w^108*z^204 + 1254000*w^110*z^204 +
    352560*w^8*z^208 + 775620*w^10*z^208 + 1125360*w^12*z^208 +
    1524060*w^14*z^208 + 1798530*w^16*z^208 + 2410380*w^18*z^208 +
    2613120*w^20*z^208 + 3312780*w^22*z^208 + 3519705*w^24*z^208 +
    4203600*w^26*z^208 + 4474680*w^28*z^208 + 5058000*w^30*z^208 +
    5435205*w^32*z^208 + 5853900*w^34*z^208 + 6360480*w^36*z^208 +
    6571980*w^38*z^208 + 7212870*w^40*z^208 + 7195680*w^42*z^208 +
    7958880*w^44*z^208 + 7711200*w^46*z^208 + 8569980*w^48*z^208 +
    8107500*w^50*z^208 + 9023280*w^52*z^208 + 8376300*w^54*z^208 +
    9302055*w^56*z^208 + 8512080*w^58*z^208 + 9396120*w^60*z^208 +
    8512080*w^62*z^208 + 9302055*w^64*z^208 + 8376300*w^66*z^208 +
    9023280*w^68*z^208 + 8107500*w^70*z^208 + 8569980*w^72*z^208 +
    7711200*w^74*z^208 + 7958880*w^76*z^208 + 7195680*w^78*z^208 +
    7212870*w^80*z^208 + 6571980*w^82*z^208 + 6360480*w^84*z^208 +
    5853900*w^86*z^208 + 5435205*w^88*z^208 + 5058000*w^90*z^208 +
    4474680*w^92*z^208 + 4203600*w^94*z^208 + 3519705*w^96*z^208 +
    3312780*w^98*z^208 + 2613120*w^100*z^208 + 2410380*w^102*z^208 +
    1798530*w^104*z^208 + 1524060*w^106*z^208 + 1125360*w^108*z^208 +
    775620*w^110*z^208 + 352560*w^112*z^208 + 81180*w^8*z^212 +
    237120*w^10*z^212 + 202140*w^12*z^212 + 299400*w^14*z^212 +
    353880*w^16*z^212 + 391800*w^18*z^212 + 492480*w^20*z^212 +
    501000*w^22*z^212 + 617880*w^24*z^212 + 619800*w^26*z^212 +
    730080*w^28*z^212 + 741720*w^30*z^212 + 829080*w^32*z^212 +
    861000*w^34*z^212 + 914880*w^36*z^212 + 972600*w^38*z^212 +
    987480*w^40*z^212 + 1072200*w^42*z^212 + 1046880*w^44*z^212 +
    1156200*w^46*z^212 + 1093080*w^48*z^212 + 1221720*w^50*z^212 +
    1126080*w^52*z^212 + 1266600*w^54*z^212 + 1145880*w^56*z^212 +
    1289400*w^58*z^212 + 1152480*w^60*z^212 + 1289400*w^62*z^212 +
    1145880*w^64*z^212 + 1266600*w^66*z^212 + 1126080*w^68*z^212 +
    1221720*w^70*z^212 + 1093080*w^72*z^212 + 1156200*w^74*z^212 +
    1046880*w^76*z^212 + 1072200*w^78*z^212 + 987480*w^80*z^212 +
    972600*w^82*z^212 + 914880*w^84*z^212 + 861000*w^86*z^212 +
    829080*w^88*z^212 + 741720*w^90*z^212 + 730080*w^92*z^212 +
    619800*w^94*z^212 + 617880*w^96*z^212 + 501000*w^98*z^212 +
    492480*w^100*z^212 + 391800*w^102*z^212 + 353880*w^104*z^212 +
    299400*w^106*z^212 + 202140*w^108*z^212 + 237120*w^110*z^212 +
    81180*w^112*z^212 + 29180*w^6*z^216 + 45240*w^8*z^216 +
    39540*w^10*z^216 + 56290*w^12*z^216 + 57480*w^14*z^216 +
    73080*w^16*z^216 + 73980*w^18*z^216 + 90720*w^20*z^216 +
    88980*w^22*z^216 + 108580*w^24*z^216 + 102480*w^26*z^216 +
    126090*w^28*z^216 + 114480*w^30*z^216 + 142740*w^32*z^216 +
    124980*w^34*z^216 + 158080*w^36*z^216 + 133980*w^38*z^216 +
    171720*w^40*z^216 + 141480*w^42*z^216 + 183330*w^44*z^216 +
    147480*w^46*z^216 + 192640*w^48*z^216 + 151980*w^50*z^216 +
    199440*w^52*z^216 + 154980*w^54*z^216 + 203580*w^56*z^216 +
    156480*w^58*z^216 + 204970*w^60*z^216 + 156480*w^62*z^216 +
    203580*w^64*z^216 + 154980*w^66*z^216 + 199440*w^68*z^216 +
    151980*w^70*z^216 + 192640*w^72*z^216 + 147480*w^74*z^216 +
    183330*w^76*z^216 + 141480*w^78*z^216 + 171720*w^80*z^216 +
    133980*w^82*z^216 + 158080*w^84*z^216 + 124980*w^86*z^216 +
    142740*w^88*z^216 + 114480*w^90*z^216 + 126090*w^92*z^216 +
    102480*w^94*z^216 + 108580*w^96*z^216 + 88980*w^98*z^216 +
    90720*w^100*z^216 + 73980*w^102*z^216 + 73080*w^104*z^216 +
    57480*w^106*z^216 + 56290*w^108*z^216 + 39540*w^110*z^216 +
    45240*w^112*z^216 + 29180*w^114*z^216 + 3240*w^6*z^220 + 7980*w^8*z^220 +
    3480*w^10*z^220 + 7920*w^12*z^220 + 6360*w^14*z^220 + 7920*w^16*z^220 +
    9000*w^18*z^220 + 7920*w^20*z^220 + 11400*w^22*z^220 + 7920*w^24*z^220 +
    13560*w^26*z^220 + 7920*w^28*z^220 + 15480*w^30*z^220 + 7920*w^32*z^220 +
    17160*w^34*z^220 + 7920*w^36*z^220 + 18600*w^38*z^220 + 7920*w^40*z^220 +
    19800*w^42*z^220 + 7920*w^44*z^220 + 20760*w^46*z^220 + 7920*w^48*z^220 +
    21480*w^50*z^220 + 7920*w^52*z^220 + 21960*w^54*z^220 + 7920*w^56*z^220 +
    22200*w^58*z^220 + 7920*w^60*z^220 + 22200*w^62*z^220 + 7920*w^64*z^220 +
    21960*w^66*z^220 + 7920*w^68*z^220 + 21480*w^70*z^220 + 7920*w^72*z^220 +
    20760*w^74*z^220 + 7920*w^76*z^220 + 19800*w^78*z^220 + 7920*w^80*z^220 +
    18600*w^82*z^220 + 7920*w^84*z^220 + 17160*w^86*z^220 + 7920*w^88*z^220 +
    15480*w^90*z^220 + 7920*w^92*z^220 + 13560*w^94*z^220 + 7920*w^96*z^220 +
    11400*w^98*z^220 + 7920*w^100*z^220 + 9000*w^102*z^220 +
    7920*w^104*z^220 + 6360*w^106*z^220 + 7920*w^108*z^220 +
    3480*w^110*z^220 + 7980*w^112*z^220 + 3240*w^114*z^220 + 1680*w^4*z^224 +
    1680*w^6*z^224 + 645*w^8*z^224 + 1620*w^10*z^224 + 1020*w^12*z^224 +
    1620*w^14*z^224 + 1365*w^16*z^224 + 1620*w^18*z^224 + 1680*w^20*z^224 +
    1620*w^22*z^224 + 1965*w^24*z^224 + 1620*w^26*z^224 + 2220*w^28*z^224 +
    1620*w^30*z^224 + 2445*w^32*z^224 + 1620*w^34*z^224 + 2640*w^36*z^224 +
    1620*w^38*z^224 + 2805*w^40*z^224 + 1620*w^42*z^224 + 2940*w^44*z^224 +
    1620*w^46*z^224 + 3045*w^48*z^224 + 1620*w^50*z^224 + 3120*w^52*z^224 +
    1620*w^54*z^224 + 3165*w^56*z^224 + 1620*w^58*z^224 + 3180*w^60*z^224 +
    1620*w^62*z^224 + 3165*w^64*z^224 + 1620*w^66*z^224 + 3120*w^68*z^224 +
    1620*w^70*z^224 + 3045*w^72*z^224 + 1620*w^74*z^224 + 2940*w^76*z^224 +
    1620*w^78*z^224 + 2805*w^80*z^224 + 1620*w^82*z^224 + 2640*w^84*z^224 +
    1620*w^86*z^224 + 2445*w^88*z^224 + 1620*w^90*z^224 + 2220*w^92*z^224 +
    1620*w^94*z^224 + 1965*w^96*z^224 + 1620*w^98*z^224 + 1680*w^100*z^224 +
    1620*w^102*z^224 + 1365*w^104*z^224 + 1620*w^106*z^224 +
    1020*w^108*z^224 + 1620*w^110*z^224 + 645*w^112*z^224 +
    1680*w^114*z^224 + 1680*w^116*z^224 + 60*w^4*z^228 + 120*w^6*z^228 +
    120*w^10*z^228 + 120*w^14*z^228 + 120*w^18*z^228 + 120*w^22*z^228 +
    120*w^26*z^228 + 120*w^30*z^228 + 120*w^34*z^228 + 120*w^38*z^228 +
    120*w^42*z^228 + 120*w^46*z^228 + 120*w^50*z^228 + 120*w^54*z^228 +
    120*w^58*z^228 + 120*w^62*z^228 + 120*w^66*z^228 + 120*w^70*z^228 +
    120*w^74*z^228 + 120*w^78*z^228 + 120*w^82*z^228 + 120*w^86*z^228 +
    120*w^90*z^228 + 120*w^94*z^228 + 120*w^98*z^228 + 120*w^102*z^228 +
    120*w^106*z^228 + 120*w^110*z^228 + 120*w^114*z^228 + 60*w^116*z^228 +
    60*w^2*z^232 + 30*w^4*z^232 + 30*w^8*z^232 + 30*w^12*z^232 +
    30*w^16*z^232 + 30*w^20*z^232 + 30*w^24*z^232 + 30*w^28*z^232 +
    30*w^32*z^232 + 30*w^36*z^232 + 30*w^40*z^232 + 30*w^44*z^232 +
    30*w^48*z^232 + 30*w^52*z^232 + 30*w^56*z^232 + 30*w^60*z^232 +
    30*w^64*z^232 + 30*w^68*z^232 + 30*w^72*z^232 + 30*w^76*z^232 +
    30*w^80*z^232 + 30*w^84*z^232 + 30*w^88*z^232 + 30*w^92*z^232 +
    30*w^96*z^232 + 30*w^100*z^232 + 30*w^104*z^232 + 30*w^108*z^232 +
    30*w^112*z^232 + 30*w^116*z^232 + 60*w^118*z^232 + z^240 + w^120*z^240)/
   (w^60*z^120)], [(3*z^2)/w + 3*w*z^2 + z^6/w^3 + w^3*z^6,
  14 + 6/w^2 + 6*w^2 + 6/z^8 + 6/(w^2*z^4) + (6*w^2)/z^4 + (6*z^4)/w^4 +
   (3*z^4)/w^2 + 3*w^2*z^4 + 6*w^4*z^4 + z^12/w^6 + w^6*z^12,
  6/(w^3*z^6) + 45/(w*z^6) + (45*w)/z^6 + (6*w^3)/z^6 + 36/(w^3*z^2) +
   36/(w*z^2) + (36*w)/z^2 + (36*w^3)/z^2 + (18*z^2)/w^5 + (36*z^2)/w^3 +
   (45*z^2)/w + 45*w*z^2 + 36*w^3*z^2 + 18*w^5*z^2 + (18*z^6)/w^5 +
   (6*z^6)/w^3 + 6*w^3*z^6 + 18*w^5*z^6 + (9*z^10)/w^7 + 9*w^7*z^10 +
   z^18/w^9 + w^9*z^18, 254 + 48/w^6 + 222/w^4 + 276/w^2 + 276*w^2 +
   222*w^4 + 48*w^6 + 6/z^16 + 24/z^12 + 24/(w^2*z^12) + (24*w^2)/z^12 +
   120/z^8 + 18/(w^4*z^8) + 60/(w^2*z^8) + (60*w^2)/z^8 + (18*w^4)/z^8 +
   348/z^4 + 84/(w^4*z^4) + 276/(w^2*z^4) + (276*w^2)/z^4 + (84*w^4)/z^4 +
   168*z^4 + (108*z^4)/w^6 + (132*z^4)/w^4 + (132*z^4)/w^2 + 132*w^2*z^4 +
   132*w^4*z^4 + 108*w^6*z^4 + (42*z^8)/w^8 + (60*z^8)/w^6 + (39*z^8)/w^4 +
   (24*z^8)/w^2 + 24*w^2*z^8 + 39*w^4*z^8 + 60*w^6*z^8 + 42*w^8*z^8 +
   4*z^12 + (24*z^12)/w^8 + (4*z^12)/w^6 + 4*w^6*z^12 + 24*w^8*z^12 +
   (12*z^16)/w^10 + 12*w^10*z^16 + z^24/w^12 + w^12*z^24,
  30/(w^3*z^14) + 165/(w*z^14) + (165*w)/z^14 + (30*w^3)/z^14 +
   30/(w^5*z^10) + 330/(w^3*z^10) + 510/(w*z^10) + (510*w)/z^10 +
   (330*w^3)/z^10 + (30*w^5)/z^10 + 270/(w^5*z^6) + 795/(w^3*z^6) +
   1470/(w*z^6) + (1470*w)/z^6 + (795*w^3)/z^6 + (270*w^5)/z^6 +
   120/(w^7*z^2) + 795/(w^5*z^2) + 1740/(w^3*z^2) + 2085/(w*z^2) +
   (2085*w)/z^2 + (1740*w^3)/z^2 + (795*w^5)/z^2 + (120*w^7)/z^2 +
   (435*z^2)/w^7 + (1110*z^2)/w^5 + (1425*z^2)/w^3 + (1575*z^2)/w +
   1575*w*z^2 + 1425*w^3*z^2 + 1110*w^5*z^2 + 435*w^7*z^2 + (150*z^6)/w^9 +
   (570*z^6)/w^7 + (630*z^6)/w^5 + (515*z^6)/w^3 + (510*z^6)/w + 510*w*z^6 +
   515*w^3*z^6 + 630*w^5*z^6 + 570*w^7*z^6 + 150*w^9*z^6 + (225*z^10)/w^9 +
   (195*z^10)/w^7 + (138*z^10)/w^5 + (165*z^10)/w^3 + (90*z^10)/w +
   90*w*z^10 + 165*w^3*z^10 + 138*w^5*z^10 + 195*w^7*z^10 + 225*w^9*z^10 +
   (75*z^14)/w^11 + (75*z^14)/w^9 + (45*z^14)/w^7 + (30*z^14)/w^5 +
   (30*z^14)/w + 30*w*z^14 + 30*w^5*z^14 + 45*w^7*z^14 + 75*w^9*z^14 +
   75*w^11*z^14 + (30*z^18)/w^11 + (5*z^18)/w^9 + (5*z^18)/w^3 + 5*w^3*z^18 +
   5*w^9*z^18 + 30*w^11*z^18 + (15*z^22)/w^13 + 15*w^13*z^22 + z^30/w^15 +
   w^15*z^30, 13436 + 1494/w^8 + 5502/w^6 + 10188/w^4 + 12510/w^2 +
   12510*w^2 + 10188*w^4 + 5502*w^6 + 1494*w^8 + 6/z^24 + 72/z^20 +
   54/(w^2*z^20) + (54*w^2)/z^20 + 576/z^16 + 108/(w^4*z^16) +
   342/(w^2*z^16) + (342*w^2)/z^16 + (108*w^4)/z^16 + 3120/z^12 +
   66/(w^6*z^12) + 738/(w^4*z^12) + 2367/(w^2*z^12) + (2367*w^2)/z^12 +
   (738*w^4)/z^12 + (66*w^6)/z^12 + 7650/z^8 + 684/(w^6*z^8) +
   3402/(w^4*z^8) + 6246/(w^2*z^8) + (6246*w^2)/z^8 + (3402*w^4)/z^8 +
   (684*w^6)/z^8 + 13068/z^4 + 288/(w^8*z^4) + 2862/(w^6*z^4) +
   7164/(w^4*z^4) + 11574/(w^2*z^4) + (11574*w^2)/z^4 + (7164*w^4)/z^4 +
   (2862*w^6)/z^4 + (288*w^8)/z^4 + 7704*z^4 + (468*z^4)/w^10 +
   (3096*z^4)/w^8 + (5760*z^4)/w^6 + (6624*z^4)/w^4 + (7515*z^4)/w^2 +
   7515*w^2*z^4 + 6624*w^4*z^4 + 5760*w^6*z^4 + 3096*w^8*z^4 + 468*w^10*z^4 +
   2178*z^8 + (1224*z^8)/w^10 + (2520*z^8)/w^8 + (2790*z^8)/w^6 +
   (2880*z^8)/w^4 + (2358*z^8)/w^2 + 2358*w^2*z^8 + 2880*w^4*z^8 +
   2790*w^6*z^8 + 2520*w^8*z^8 + 1224*w^10*z^8 + 624*z^12 + (342*z^12)/w^12 +
   (1062*z^12)/w^10 + (972*z^12)/w^8 + (696*z^12)/w^6 + (558*z^12)/w^4 +
   (648*z^12)/w^2 + 648*w^2*z^12 + 558*w^4*z^12 + 696*w^6*z^12 +
   972*w^8*z^12 + 1062*w^10*z^12 + 342*w^12*z^12 + 180*z^16 +
   (378*z^16)/w^12 + (252*z^16)/w^10 + (162*z^16)/w^8 + (198*z^16)/w^6 +
   (126*z^16)/w^4 + (108*z^16)/w^2 + 108*w^2*z^16 + 126*w^4*z^16 +
   198*w^6*z^16 + 162*w^8*z^16 + 252*w^10*z^16 + 378*w^12*z^16 +
   (117*z^20)/w^14 + (90*z^20)/w^12 + (54*z^20)/w^10 + (36*z^20)/w^8 +
   (36*z^20)/w^4 + (36*z^20)/w^2 + 36*w^2*z^20 + 36*w^4*z^20 + 36*w^8*z^20 +
   54*w^10*z^20 + 90*w^12*z^20 + 117*w^14*z^20 + 6*z^24 + (36*z^24)/w^14 +
   (6*z^24)/w^12 + (6*z^24)/w^6 + 6*w^6*z^24 + 6*w^12*z^24 + 36*w^14*z^24 +
   (18*z^28)/w^16 + 18*w^16*z^28 + z^36/w^18 + w^18*z^36,
  84/(w^3*z^22) + 399/(w*z^22) + (399*w)/z^22 + (84*w^3)/z^22 +
   210/(w^5*z^18) + 1596/(w^3*z^18) + 2856/(w*z^18) + (2856*w)/z^18 +
   (1596*w^3)/z^18 + (210*w^5)/z^18 + 126/(w^7*z^14) + 2352/(w^5*z^14) +
   7308/(w^3*z^14) + 12957/(w*z^14) + (12957*w)/z^14 + (7308*w^3)/z^14 +
   (2352*w^5)/z^14 + (126*w^7)/z^14 + 1806/(w^7*z^10) + 10500/(w^5*z^10) +
   26964/(w^3*z^10) + 39375/(w*z^10) + (39375*w)/z^10 + (26964*w^3)/z^10 +
   (10500*w^5)/z^10 + (1806*w^7)/z^10 + 672/(w^9*z^6) + 9051/(w^7*z^6) +
   30765/(w^5*z^6) + 56280/(w^3*z^6) + 73500/(w*z^6) + (73500*w)/z^6 +
   (56280*w^3)/z^6 + (30765*w^5)/z^6 + (9051*w^7)/z^6 + (672*w^9)/z^6 +
   4662/(w^9*z^2) + 23604/(w^7*z^2) + 52689/(w^5*z^2) + 79590/(w^3*z^2) +
   94206/(w*z^2) + (94206*w)/z^2 + (79590*w^3)/z^2 + (52689*w^5)/z^2 +
   (23604*w^7)/z^2 + (4662*w^9)/z^2 + (1344*z^2)/w^11 + (13335*z^2)/w^9 +
   (34902*z^2)/w^7 + (55335*z^2)/w^5 + (68754*z^2)/w^3 + (76545*z^2)/w +
   76545*w*z^2 + 68754*w^3*z^2 + 55335*w^5*z^2 + 34902*w^7*z^2 +
   13335*w^9*z^2 + 1344*w^11*z^2 + (5208*z^6)/w^11 + (17850*z^6)/w^9 +
   (29001*z^6)/w^7 + (34041*z^6)/w^5 + (36631*z^6)/w^3 + (36351*z^6)/w +
   36351*w*z^6 + 36631*w^3*z^6 + 34041*w^5*z^6 + 29001*w^7*z^6 +
   17850*w^9*z^6 + 5208*w^11*z^6 + (1302*z^10)/w^13 + (7770*z^10)/w^11 +
   (12243*z^10)/w^9 + (12600*z^10)/w^7 + (13356*z^10)/w^5 +
   (12495*z^10)/w^3 + (11970*z^10)/w + 11970*w*z^10 + 12495*w^3*z^10 +
   13356*w^5*z^10 + 12600*w^7*z^10 + 12243*w^9*z^10 + 7770*w^11*z^10 +
   1302*w^13*z^10 + (2625*z^14)/w^13 + (4431*z^14)/w^11 + (4326*z^14)/w^9 +
   (4329*z^14)/w^7 + (3150*z^14)/w^5 + (3150*z^14)/w^3 + (3633*z^14)/w +
   3633*w*z^14 + 3150*w^3*z^14 + 3150*w^5*z^14 + 4329*w^7*z^14 +
   4326*w^9*z^14 + 4431*w^11*z^14 + 2625*w^13*z^14 + (651*z^18)/w^15 +
   (1680*z^18)/w^13 + (1365*z^18)/w^11 + (938*z^18)/w^9 + (651*z^18)/w^7 +
   (924*z^18)/w^5 + (861*z^18)/w^3 + (735*z^18)/w + 735*w*z^18 +
   861*w^3*z^18 + 924*w^5*z^18 + 651*w^7*z^18 + 938*w^9*z^18 +
   1365*w^11*z^18 + 1680*w^13*z^18 + 651*w^15*z^18 + (567*z^22)/w^15 +
   (315*z^22)/w^13 + (189*z^22)/w^11 + (231*z^22)/w^9 + (168*z^22)/w^7 +
   (126*z^22)/w^5 + (210*z^22)/w^3 + (147*z^22)/w + 147*w*z^22 +
   210*w^3*z^22 + 126*w^5*z^22 + 168*w^7*z^22 + 231*w^9*z^22 +
   189*w^11*z^22 + 315*w^13*z^22 + 567*w^15*z^22 + (168*z^26)/w^17 +
   (105*z^26)/w^15 + (63*z^26)/w^13 + (42*z^26)/w^11 + (42*z^26)/w^7 +
   (42*z^26)/w^5 + (42*z^26)/w + 42*w*z^26 + 42*w^5*z^26 + 42*w^7*z^26 +
   42*w^11*z^26 + 63*w^13*z^26 + 105*w^15*z^26 + 168*w^17*z^26 +
   (42*z^30)/w^17 + (7*z^30)/w^15 + (7*z^30)/w^9 + (7*z^30)/w^3 +
   7*w^3*z^30 + 7*w^9*z^30 + 7*w^15*z^30 + 42*w^17*z^30 + (21*z^34)/w^19 +
   21*w^19*z^34 + z^42/w^21 + w^21*z^42, 639470 + 3648/w^12 + 50304/w^10 +
   173694/w^8 + 341472/w^6 + 494892/w^4 + 600600/w^2 + 600600*w^2 +
   494892*w^4 + 341472*w^6 + 173694*w^8 + 50304*w^10 + 3648*w^12 + 6/z^32 +
   144/z^28 + 96/(w^2*z^28) + (96*w^2)/z^28 + 1848/z^24 + 360/(w^4*z^24) +
   1176/(w^2*z^24) + (1176*w^2)/z^24 + (360*w^4)/z^24 + 15864/z^20 +
   528/(w^6*z^20) + 4008/(w^4*z^20) + 11808/(w^2*z^20) + (11808*w^2)/z^20 +
   (4008*w^4)/z^20 + (528*w^6)/z^20 + 68952/z^16 + 258/(w^8*z^16) +
   5952/(w^6*z^16) + 27516/(w^4*z^16) + 55176/(w^2*z^16) + (55176*w^2)/z^16 +
   (27516*w^4)/z^16 + (5952*w^6)/z^16 + (258*w^8)/z^16 + 208896/z^12 +
   4464/(w^8*z^12) + 34728/(w^6*z^12) + 99120/(w^4*z^12) +
   175416/(w^2*z^12) + (175416*w^2)/z^12 + (99120*w^4)/z^12 +
   (34728*w^6)/z^12 + (4464*w^8)/z^12 + 438924/z^8 + 1536/(w^10*z^8) +
   27636/(w^8*z^8) + 113496/(w^6*z^8) + 256668/(w^4*z^8) + 386424/(w^2*z^8) +
   (386424*w^2)/z^8 + (256668*w^4)/z^8 + (113496*w^6)/z^8 + (27636*w^8)/z^8 +
   (1536*w^10)/z^8 + 633552/z^4 + 13632/(w^10*z^4) + 89304/(w^8*z^4) +
   247896/(w^6*z^4) + 434808/(w^4*z^4) + 580392/(w^2*z^4) +
   (580392*w^2)/z^4 + (434808*w^4)/z^4 + (247896*w^6)/z^4 + (89304*w^8)/z^4 +
   (13632*w^10)/z^4 + 421608*z^4 + (19224*z^4)/w^12 + (94656*z^4)/w^10 +
   (205896*z^4)/w^8 + (302184*z^4)/w^6 + (371616*z^4)/w^4 +
   (410184*z^4)/w^2 + 410184*w^2*z^4 + 371616*w^4*z^4 + 302184*w^6*z^4 +
   205896*w^8*z^4 + 94656*w^10*z^4 + 19224*w^12*z^4 + 183528*z^8 +
   (4416*z^8)/w^14 + (41628*z^8)/w^12 + (99744*z^8)/w^10 + (143268*z^8)/w^8 +
   (171480*z^8)/w^6 + (184308*z^8)/w^4 + (185592*z^8)/w^2 + 185592*w^2*z^8 +
   184308*w^4*z^8 + 171480*w^6*z^8 + 143268*w^8*z^8 + 99744*w^10*z^8 +
   41628*w^12*z^8 + 4416*w^14*z^8 + 67080*z^12 + (13584*z^12)/w^14 +
   (41160*z^12)/w^12 + (58968*z^12)/w^10 + (65016*z^12)/w^8 +
   (65080*z^12)/w^6 + (63120*z^12)/w^4 + (64272*z^12)/w^2 + 64272*w^2*z^12 +
   63120*w^4*z^12 + 65080*w^6*z^12 + 65016*w^8*z^12 + 58968*w^10*z^12 +
   41160*w^12*z^12 + 13584*w^14*z^12 + 18480*z^16 + (2946*z^16)/w^16 +
   (15576*z^16)/w^14 + (21300*z^16)/w^12 + (20160*z^16)/w^10 +
   (20295*z^16)/w^8 + (18864*z^16)/w^6 + (18480*z^16)/w^4 +
   (19056*z^16)/w^2 + 19056*w^2*z^16 + 18480*w^4*z^16 + 18864*w^6*z^16 +
   20295*w^8*z^16 + 20160*w^10*z^16 + 21300*w^12*z^16 + 15576*w^14*z^16 +
   2946*w^16*z^16 + 4416*z^20 + (4800*z^20)/w^16 + (6840*z^20)/w^14 +
   (6144*z^20)/w^12 + (6096*z^20)/w^10 + (4200*z^20)/w^8 + (4440*z^20)/w^6 +
   (5280*z^20)/w^4 + (4704*z^20)/w^2 + 4704*w^2*z^20 + 5280*w^4*z^20 +
   4440*w^6*z^20 + 4200*w^8*z^20 + 6096*w^10*z^20 + 6144*w^12*z^20 +
   6840*w^14*z^20 + 4800*w^16*z^20 + 1140*z^24 + (1104*z^24)/w^18 +
   (2424*z^24)/w^16 + (1824*z^24)/w^14 + (1220*z^24)/w^12 + (744*z^24)/w^10 +
   (1248*z^24)/w^8 + (1136*z^24)/w^6 + (840*z^24)/w^4 + (1032*z^24)/w^2 +
   1032*w^2*z^24 + 840*w^4*z^24 + 1136*w^6*z^24 + 1248*w^8*z^24 +
   744*w^10*z^24 + 1220*w^12*z^24 + 1824*w^14*z^24 + 2424*w^16*z^24 +
   1104*w^18*z^24 + 240*z^28 + (792*z^28)/w^18 + (384*z^28)/w^16 +
   (216*z^28)/w^14 + (264*z^28)/w^12 + (216*z^28)/w^10 + (144*z^28)/w^8 +
   (240*z^28)/w^6 + (192*z^28)/w^4 + (168*z^28)/w^2 + 168*w^2*z^28 +
   192*w^4*z^28 + 240*w^6*z^28 + 144*w^8*z^28 + 216*w^10*z^28 +
   264*w^12*z^28 + 216*w^14*z^28 + 384*w^16*z^28 + 792*w^18*z^28 +
   (228*z^32)/w^20 + (120*z^32)/w^18 + (72*z^32)/w^16 + (48*z^32)/w^14 +
   (48*z^32)/w^10 + (48*z^32)/w^8 + (48*z^32)/w^4 + (48*z^32)/w^2 +
   48*w^2*z^32 + 48*w^4*z^32 + 48*w^8*z^32 + 48*w^10*z^32 + 48*w^14*z^32 +
   72*w^16*z^32 + 120*w^18*z^32 + 228*w^20*z^32 + 8*z^36 + (48*z^36)/w^20 +
   (8*z^36)/w^18 + (8*z^36)/w^12 + (8*z^36)/w^6 + 8*w^6*z^36 + 8*w^12*z^36 +
   8*w^18*z^36 + 48*w^20*z^36 + (24*z^40)/w^22 + 24*w^22*z^40 + z^48/w^24 +
   w^24*z^48, 180/(w^3*z^30) + 783/(w*z^30) + (783*w)/z^30 + (180*w^3)/z^30 +
   810/(w^5*z^26) + 5346/(w^3*z^26) + 10152/(w*z^26) + (10152*w)/z^26 +
   (5346*w^3)/z^26 + (810*w^5)/z^26 + 1134/(w^7*z^22) + 13068/(w^5*z^22) +
   40635/(w^3*z^22) + 70092/(w*z^22) + (70092*w)/z^22 + (40635*w^3)/z^22 +
   (13068*w^5)/z^22 + (1134*w^7)/z^22 + 510/(w^9*z^18) + 16146/(w^7*z^18) +
   84429/(w^5*z^18) + 218511/(w^3*z^18) + 332262/(w*z^18) + (332262*w)/z^18 +
   (218511*w^3)/z^18 + (84429*w^5)/z^18 + (16146*w^7)/z^18 + (510*w^9)/z^18 +
   10962/(w^9*z^14) + 103707/(w^7*z^14) + 371655/(w^5*z^14) +
   752652/(w^3*z^14) + 1042767/(w*z^14) + (1042767*w)/z^14 +
   (752652*w^3)/z^14 + (371655*w^5)/z^14 + (103707*w^7)/z^14 +
   (10962*w^9)/z^14 + 3456/(w^11*z^10) + 80028/(w^9*z^10) +
   407700/(w^7*z^10) + 1058130/(w^5*z^10) + 1844775/(w^3*z^10) +
   2379267/(w*z^10) + (2379267*w)/z^10 + (1844775*w^3)/z^10 +
   (1058130*w^5)/z^10 + (407700*w^7)/z^10 + (80028*w^9)/z^10 +
   (3456*w^11)/z^10 + 38016/(w^11*z^6) + 314262/(w^9*z^6) +
   1040013/(w^7*z^6) + 2151468/(w^5*z^6) + 3249099/(w^3*z^6) +
   3920265/(w*z^6) + (3920265*w)/z^6 + (3249099*w^3)/z^6 +
   (2151468*w^5)/z^6 + (1040013*w^7)/z^6 + (314262*w^9)/z^6 +
   (38016*w^11)/z^6 + 9504/(w^13*z^2) + 173637/(w^11*z^2) +
   756081/(w^9*z^2) + 1804167/(w^7*z^2) + 3017358/(w^5*z^2) +
   4054887/(w^3*z^2) + 4649805/(w*z^2) + (4649805*w)/z^2 +
   (4054887*w^3)/z^2 + (3017358*w^5)/z^2 + (1804167*w^7)/z^2 +
   (756081*w^9)/z^2 + (173637*w^11)/z^2 + (9504*w^13)/z^2 +
   (64584*z^2)/w^13 + (424278*z^2)/w^11 + (1172070*z^2)/w^9 +
   (2093445*z^2)/w^7 + (2943540*z^2)/w^5 + (3573207*z^2)/w^3 +
   (3903309*z^2)/w + 3903309*w*z^2 + 3573207*w^3*z^2 + 2943540*w^5*z^2 +
   2093445*w^7*z^2 + 1172070*w^9*z^2 + 424278*w^11*z^2 + 64584*w^13*z^2 +
   (13824*z^6)/w^15 + (186030*z^6)/w^13 + (614520*z^6)/w^11 +
   (1153971*z^6)/w^9 + (1628316*z^6)/w^7 + (1986147*z^6)/w^5 +
   (2194821*z^6)/w^3 + (2272806*z^6)/w + 2272806*w*z^6 + 2194821*w^3*z^6 +
   1986147*w^5*z^6 + 1628316*w^7*z^6 + 1153971*w^9*z^6 + 614520*w^11*z^6 +
   186030*w^13*z^6 + 13824*w^15*z^6 + (58887*z^10)/w^15 +
   (269757*z^10)/w^13 + (538272*z^10)/w^11 + (736803*z^10)/w^9 +
   (873072*z^10)/w^7 + (937521*z^10)/w^5 + (966249*z^10)/w^3 +
   (987120*z^10)/w + 987120*w*z^10 + 966249*w^3*z^10 + 937521*w^5*z^10 +
   873072*w^7*z^10 + 736803*w^9*z^10 + 538272*w^11*z^10 + 269757*w^13*z^10 +
   58887*w^15*z^10 + (11610*z^14)/w^17 + (101304*z^14)/w^15 +
   (217485*z^14)/w^13 + (284715*z^14)/w^11 + (325998*z^14)/w^9 +
   (333477*z^14)/w^7 + (333936*z^14)/w^5 + (341496*z^14)/w^3 +
   (351378*z^14)/w + 351378*w*z^14 + 341496*w^3*z^14 + 333936*w^5*z^14 +
   333477*w^7*z^14 + 325998*w^9*z^14 + 284715*w^11*z^14 + 217485*w^13*z^14 +
   101304*w^15*z^14 + 11610*w^17*z^14 + (29457*z^18)/w^17 +
   (78651*z^18)/w^15 + (101709*z^18)/w^13 + (107325*z^18)/w^11 +
   (101202*z^18)/w^9 + (99765*z^18)/w^7 + (104598*z^18)/w^5 +
   (107757*z^18)/w^3 + (102357*z^18)/w + 102357*w*z^18 + 107757*w^3*z^18 +
   104598*w^5*z^18 + 99765*w^7*z^18 + 101202*w^9*z^18 + 107325*w^11*z^18 +
   101709*w^13*z^18 + 78651*w^15*z^18 + 29457*w^17*z^18 + (5805*z^22)/w^19 +
   (27243*z^22)/w^17 + (33237*z^22)/w^15 + (29646*z^22)/w^13 +
   (28539*z^22)/w^11 + (27270*z^22)/w^9 + (26892*z^22)/w^7 +
   (27594*z^22)/w^5 + (26514*z^22)/w^3 + (27891*z^22)/w + 27891*w*z^22 +
   26514*w^3*z^22 + 27594*w^5*z^22 + 26892*w^7*z^22 + 27270*w^9*z^22 +
   28539*w^11*z^22 + 29646*w^13*z^22 + 33237*w^15*z^22 + 27243*w^17*z^22 +
   5805*w^19*z^22 + (7911*z^26)/w^19 + (9774*z^26)/w^17 + (8262*z^26)/w^15 +
   (8154*z^26)/w^13 + (5481*z^26)/w^11 + (5940*z^26)/w^9 + (7209*z^26)/w^7 +
   (6021*z^26)/w^5 + (5994*z^26)/w^3 + (6615*z^26)/w + 6615*w*z^26 +
   5994*w^3*z^26 + 6021*w^5*z^26 + 7209*w^7*z^26 + 5940*w^9*z^26 +
   5481*w^11*z^26 + 8154*w^13*z^26 + 8262*w^15*z^26 + 9774*w^17*z^26 +
   7911*w^19*z^26 + (1728*z^30)/w^21 + (3294*z^30)/w^19 + (2349*z^30)/w^17 +
   (1539*z^30)/w^15 + (837*z^30)/w^13 + (1620*z^30)/w^11 + (1449*z^30)/w^9 +
   (945*z^30)/w^7 + (1377*z^30)/w^5 + (1458*z^30)/w^3 + (1161*z^30)/w +
   1161*w*z^30 + 1458*w^3*z^30 + 1377*w^5*z^30 + 945*w^7*z^30 +
   1449*w^9*z^30 + 1620*w^11*z^30 + 837*w^13*z^30 + 1539*w^15*z^30 +
   2349*w^17*z^30 + 3294*w^19*z^30 + 1728*w^21*z^30 + (1053*z^34)/w^21 +
   (459*z^34)/w^19 + (243*z^34)/w^17 + (297*z^34)/w^15 + (270*z^34)/w^13 +
   (162*z^34)/w^11 + (270*z^34)/w^9 + (243*z^34)/w^7 + (189*z^34)/w^5 +
   (270*z^34)/w^3 + (216*z^34)/w + 216*w*z^34 + 270*w^3*z^34 + 189*w^5*z^34 +
   243*w^7*z^34 + 270*w^9*z^34 + 162*w^11*z^34 + 270*w^13*z^34 +
   297*w^15*z^34 + 243*w^17*z^34 + 459*w^19*z^34 + 1053*w^21*z^34 +
   (297*z^38)/w^23 + (135*z^38)/w^21 + (81*z^38)/w^19 + (54*z^38)/w^17 +
   (54*z^38)/w^13 + (54*z^38)/w^11 + (54*z^38)/w^7 + (54*z^38)/w^5 +
   (54*z^38)/w + 54*w*z^38 + 54*w^5*z^38 + 54*w^7*z^38 + 54*w^11*z^38 +
   54*w^13*z^38 + 54*w^17*z^38 + 81*w^19*z^38 + 135*w^21*z^38 +
   297*w^23*z^38 + (54*z^42)/w^23 + (9*z^42)/w^21 + (9*z^42)/w^15 +
   (9*z^42)/w^9 + (9*z^42)/w^3 + 9*w^3*z^42 + 9*w^9*z^42 + 9*w^15*z^42 +
   9*w^21*z^42 + 54*w^23*z^42 + (27*z^46)/w^25 + 27*w^25*z^46 + z^54/w^27 +
   w^27*z^54, 32431154 + 202800/w^14 + 1700130/w^12 + 5761596/w^10 +
   12262170/w^8 + 19661280/w^6 + 26285160/w^4 + 30829890/w^2 + 30829890*w^2 +
   26285160*w^4 + 19661280*w^6 + 12262170*w^8 + 5761596*w^10 + 1700130*w^12 +
   202800*w^14 + 6/z^40 + 240/z^36 + 150/(w^2*z^36) + (150*w^2)/z^36 +
   4620/z^32 + 900/(w^4*z^32) + 3030/(w^2*z^32) + (3030*w^2)/z^32 +
   (900*w^4)/z^32 + 57780/z^28 + 2310/(w^6*z^28) + 15390/(w^4*z^28) +
   42825/(w^2*z^28) + (42825*w^2)/z^28 + (15390*w^4)/z^28 + (2310*w^6)/z^28 +
   384510/z^24 + 2580/(w^8*z^24) + 34920/(w^6*z^24) + 149340/(w^4*z^24) +
   306270/(w^2*z^24) + (306270*w^2)/z^24 + (149340*w^4)/z^24 +
   (34920*w^6)/z^24 + (2580*w^8)/z^24 + 1739280/z^20 + 1026/(w^10*z^20) +
   40920/(w^8*z^20) + 272790/(w^6*z^20) + 798210/(w^4*z^20) +
   1441950/(w^2*z^20) + (1441950*w^2)/z^20 + (798210*w^4)/z^20 +
   (272790*w^6)/z^20 + (40920*w^8)/z^20 + (1026*w^10)/z^20 + 5687820/z^16 +
   26220/(w^10*z^16) + 307800/(w^8*z^16) + 1274490/(w^6*z^16) +
   3056400/(w^4*z^16) + 4896960/(w^2*z^16) + (4896960*w^2)/z^16 +
   (3056400*w^4)/z^16 + (1274490*w^6)/z^16 + (307800*w^8)/z^16 +
   (26220*w^10)/z^16 + 13608240/z^12 + 7680/(w^12*z^12) +
   224850/(w^10*z^12) + 1369770/(w^8*z^12) + 4197315/(w^6*z^12) +
   8310450/(w^4*z^12) + 12079230/(w^2*z^12) + (12079230*w^2)/z^12 +
   (8310450*w^4)/z^12 + (4197315*w^6)/z^12 + (1369770*w^8)/z^12 +
   (224850*w^10)/z^12 + (7680*w^12)/z^12 + 24432330/z^8 + 102240/(w^12*z^8) +
   1040010/(w^10*z^8) + 4100040/(w^8*z^8) + 9729810/(w^6*z^8) +
   16623600/(w^4*z^8) + 22266900/(w^2*z^8) + (22266900*w^2)/z^8 +
   (16623600*w^4)/z^8 + (9729810*w^6)/z^8 + (4100040*w^8)/z^8 +
   (1040010*w^10)/z^8 + (102240*w^12)/z^8 + 32750820/z^4 + 24000/(w^14*z^4) +
   561900/(w^12*z^4) + 3006195/(w^10*z^4) + 8467200/(w^8*z^4) +
   16331550/(w^6*z^4) + 24465450/(w^4*z^4) + 30513165/(w^2*z^4) +
   (30513165*w^2)/z^4 + (24465450*w^4)/z^4 + (16331550*w^6)/z^4 +
   (8467200*w^8)/z^4 + (3006195*w^10)/z^4 + (561900*w^12)/z^4 +
   (24000*w^14)/z^4 + 23416260*z^4 + (40800*z^4)/w^16 + (737385*z^4)/w^14 +
   (3161700*z^4)/w^12 + (7400820*z^4)/w^10 + (12346140*z^4)/w^8 +
   (16981875*z^4)/w^6 + (20581800*z^4)/w^4 + (22722585*z^4)/w^2 +
   22722585*w^2*z^4 + 20581800*w^4*z^4 + 16981875*w^6*z^4 +
   12346140*w^8*z^4 + 7400820*w^10*z^4 + 3161700*w^12*z^4 + 737385*w^14*z^4 +
   40800*w^16*z^4 + 12565350*z^8 + (226650*z^8)/w^16 + (1429770*z^8)/w^14 +
   (3748950*z^8)/w^12 + (6391740*z^8)/w^10 + (8770140*z^8)/w^8 +
   (10578600*z^8)/w^6 + (11727390*z^8)/w^4 + (12359490*z^8)/w^2 +
   12359490*w^2*z^8 + 11727390*w^4*z^8 + 10578600*w^6*z^8 + 8770140*w^8*z^8 +
   6391740*w^10*z^8 + 3748950*w^12*z^8 + 1429770*w^14*z^8 + 226650*w^16*z^8 +
   5360260*z^12 + (41460*z^12)/w^18 + (531150*z^12)/w^16 +
   (1628580*z^12)/w^14 + (2837820*z^12)/w^12 + (3812460*z^12)/w^10 +
   (4489530*z^12)/w^8 + (4870855*z^12)/w^6 + (5101290*z^12)/w^4 +
   (5282070*z^12)/w^2 + 5282070*w^2*z^12 + 5101290*w^4*z^12 +
   4870855*w^6*z^12 + 4489530*w^8*z^12 + 3812460*w^10*z^12 +
   2837820*w^12*z^12 + 1628580*w^14*z^12 + 531150*w^16*z^12 +
   41460*w^18*z^12 + 1887090*z^16 + (147870*z^16)/w^18 + (619920*z^16)/w^16 +
   (1128660*z^16)/w^14 + (1450110*z^16)/w^12 + (1646940*z^16)/w^10 +
   (1723710*z^16)/w^8 + (1784640*z^16)/w^6 + (1862520*z^16)/w^4 +
   (1890300*z^16)/w^2 + 1890300*w^2*z^16 + 1862520*w^4*z^16 +
   1784640*w^6*z^16 + 1723710*w^8*z^16 + 1646940*w^10*z^16 +
   1450110*w^12*z^16 + 1128660*w^14*z^16 + 619920*w^16*z^16 +
   147870*w^18*z^16 + 580260*z^20 + (26166*z^20)/w^20 + (209535*z^20)/w^18 +
   (404970*z^20)/w^16 + (491445*z^20)/w^14 + (542730*z^20)/w^12 +
   (537138*z^20)/w^10 + (542010*z^20)/w^8 + (567705*z^20)/w^6 +
   (579960*z^20)/w^4 + (581610*z^20)/w^2 + 581610*w^2*z^20 +
   579960*w^4*z^20 + 567705*w^6*z^20 + 542010*w^8*z^20 + 537138*w^10*z^20 +
   542730*w^12*z^20 + 491445*w^14*z^20 + 404970*w^16*z^20 +
   209535*w^18*z^20 + 26166*w^20*z^20 + 165000*z^24 + (56310*z^24)/w^20 +
   (133590*z^24)/w^18 + (159240*z^24)/w^16 + (162930*z^24)/w^14 +
   (146210*z^24)/w^12 + (147930*z^24)/w^10 + (158160*z^24)/w^8 +
   (158410*z^24)/w^6 + (152640*z^24)/w^4 + (157260*z^24)/w^2 +
   157260*w^2*z^24 + 152640*w^4*z^24 + 158410*w^6*z^24 + 158160*w^8*z^24 +
   147930*w^10*z^24 + 146210*w^12*z^24 + 162930*w^14*z^24 +
   159240*w^16*z^24 + 133590*w^18*z^24 + 56310*w^20*z^24 + 36480*z^28 +
   (10365*z^28)/w^22 + (43500*z^28)/w^20 + (48405*z^28)/w^18 +
   (41250*z^28)/w^16 + (38055*z^28)/w^14 + (37920*z^28)/w^12 +
   (37260*z^28)/w^10 + (37500*z^28)/w^8 + (36750*z^28)/w^6 +
   (38910*z^28)/w^4 + (38940*z^28)/w^2 + 38940*w^2*z^28 + 38910*w^4*z^28 +
   36750*w^6*z^28 + 37500*w^8*z^28 + 37260*w^10*z^28 + 37920*w^12*z^28 +
   38055*w^14*z^28 + 41250*w^16*z^28 + 48405*w^18*z^28 + 43500*w^20*z^28 +
   10365*w^22*z^28 + 7890*z^32 + (12120*z^32)/w^22 + (13260*z^32)/w^20 +
   (10680*z^32)/w^18 + (10500*z^32)/w^16 + (7020*z^32)/w^14 +
   (7650*z^32)/w^12 + (9420*z^32)/w^10 + (7590*z^32)/w^8 + (7800*z^32)/w^6 +
   (8820*z^32)/w^4 + (8220*z^32)/w^2 + 8220*w^2*z^32 + 8820*w^4*z^32 +
   7800*w^6*z^32 + 7590*w^8*z^32 + 9420*w^10*z^32 + 7650*w^12*z^32 +
   7020*w^14*z^32 + 10500*w^16*z^32 + 10680*w^18*z^32 + 13260*w^20*z^32 +
   12120*w^22*z^32 + 1820*z^36 + (2550*z^36)/w^24 + (4290*z^36)/w^22 +
   (2940*z^36)/w^20 + (1895*z^36)/w^18 + (930*z^36)/w^16 + (2040*z^36)/w^14 +
   (1800*z^36)/w^12 + (1050*z^36)/w^10 + (1770*z^36)/w^8 + (1815*z^36)/w^6 +
   (1290*z^36)/w^4 + (1530*z^36)/w^2 + 1530*w^2*z^36 + 1290*w^4*z^36 +
   1815*w^6*z^36 + 1770*w^8*z^36 + 1050*w^10*z^36 + 1800*w^12*z^36 +
   2040*w^14*z^36 + 930*w^16*z^36 + 1895*w^18*z^36 + 2940*w^20*z^36 +
   4290*w^22*z^36 + 2550*w^24*z^36 + 300*z^40 + (1350*z^40)/w^24 +
   (540*z^40)/w^22 + (270*z^40)/w^20 + (330*z^40)/w^18 + (330*z^40)/w^16 +
   (180*z^40)/w^14 + (300*z^40)/w^12 + (300*z^40)/w^10 + (210*z^40)/w^8 +
   (300*z^40)/w^6 + (270*z^40)/w^4 + (240*z^40)/w^2 + 240*w^2*z^40 +
   270*w^4*z^40 + 300*w^6*z^40 + 210*w^8*z^40 + 300*w^10*z^40 +
   300*w^12*z^40 + 180*w^14*z^40 + 330*w^16*z^40 + 330*w^18*z^40 +
   270*w^20*z^40 + 540*w^22*z^40 + 1350*w^24*z^40 + (375*z^44)/w^26 +
   (150*z^44)/w^24 + (90*z^44)/w^22 + (60*z^44)/w^20 + (60*z^44)/w^16 +
   (60*z^44)/w^14 + (60*z^44)/w^10 + (60*z^44)/w^8 + (60*z^44)/w^4 +
   (60*z^44)/w^2 + 60*w^2*z^44 + 60*w^4*z^44 + 60*w^8*z^44 + 60*w^10*z^44 +
   60*w^14*z^44 + 60*w^16*z^44 + 60*w^20*z^44 + 90*w^22*z^44 +
   150*w^24*z^44 + 375*w^26*z^44 + 10*z^48 + (60*z^48)/w^26 +
   (10*z^48)/w^24 + (10*z^48)/w^18 + (10*z^48)/w^12 + (10*z^48)/w^6 +
   10*w^6*z^48 + 10*w^12*z^48 + 10*w^18*z^48 + 10*w^24*z^48 + 60*w^26*z^48 +
   (30*z^52)/w^28 + 30*w^28*z^52 + z^60/w^30 + w^30*z^60,
  (330*w^30 + 1353*w^32 + 1353*w^34 + 330*w^36 + 2310*w^28*z^4 +
    14190*w^30*z^4 + 27720*w^32*z^4 + 27720*w^34*z^4 + 14190*w^36*z^4 +
    2310*w^38*z^4 + 5544*w^26*z^8 + 52734*w^28*z^8 + 163152*w^30*z^8 +
    277629*w^32*z^8 + 277629*w^34*z^8 + 163152*w^36*z^8 + 52734*w^38*z^8 +
    5544*w^40*z^8 + 5610*w^24*z^12 + 98802*w^26*z^12 + 478236*w^28*z^12 +
    1214763*w^30*z^12 + 1861068*w^32*z^12 + 1861068*w^34*z^12 +
    1214763*w^36*z^12 + 478236*w^38*z^12 + 98802*w^40*z^12 + 5610*w^42*z^12 +
    2046*w^22*z^16 + 104082*w^24*z^16 + 813483*w^26*z^16 +
    2882616*w^28*z^16 + 6020619*w^30*z^16 + 8508192*w^32*z^16 +
    8508192*w^34*z^16 + 6020619*w^36*z^16 + 2882616*w^38*z^16 +
    813483*w^40*z^16 + 104082*w^42*z^16 + 2046*w^44*z^16 + 61974*w^22*z^20 +
    875754*w^24*z^20 + 4314618*w^26*z^20 + 11754270*w^28*z^20 +
    21542532*w^30*z^20 + 28664427*w^32*z^20 + 28664427*w^34*z^20 +
    21542532*w^36*z^20 + 11754270*w^38*z^20 + 4314618*w^40*z^20 +
    875754*w^42*z^20 + 61974*w^44*z^20 + 16896*w^20*z^24 + 613074*w^22*z^24 +
    4452624*w^24*z^24 + 15657576*w^26*z^24 + 35427183*w^28*z^24 +
    57923316*w^30*z^24 + 73043553*w^32*z^24 + 73043553*w^34*z^24 +
    57923316*w^36*z^24 + 35427183*w^38*z^24 + 15657576*w^40*z^24 +
    4452624*w^42*z^24 + 613074*w^44*z^24 + 16896*w^46*z^24 +
    267168*w^20*z^28 + 3290034*w^22*z^28 + 15188613*w^24*z^28 +
    41437869*w^26*z^28 + 79485912*w^28*z^28 + 117933123*w^30*z^28 +
    142101366*w^32*z^28 + 142101366*w^34*z^28 + 117933123*w^36*z^28 +
    79485912*w^38*z^28 + 41437869*w^40*z^28 + 15188613*w^42*z^28 +
    3290034*w^44*z^28 + 267168*w^46*z^28 + 59136*w^18*z^32 +
    1730652*w^20*z^32 + 11140371*w^22*z^32 + 36643167*w^24*z^32 +
    80426313*w^26*z^32 + 134342142*w^28*z^32 + 183278337*w^30*z^32 +
    212298405*w^32*z^32 + 212298405*w^34*z^32 + 183278337*w^36*z^32 +
    134342142*w^38*z^32 + 80426313*w^40*z^32 + 36643167*w^42*z^32 +
    11140371*w^44*z^32 + 1730652*w^46*z^32 + 59136*w^48*z^32 +
    605088*w^18*z^36 + 6281649*w^20*z^36 + 25539294*w^22*z^36 +
    63445833*w^24*z^36 + 115616721*w^26*z^36 + 170751735*w^28*z^36 +
    216279492*w^30*z^36 + 241912968*w^32*z^36 + 241912968*w^34*z^36 +
    216279492*w^36*z^36 + 170751735*w^38*z^36 + 115616721*w^40*z^36 +
    63445833*w^42*z^36 + 25539294*w^44*z^36 + 6281649*w^46*z^36 +
    605088*w^48*z^36 + 115104*w^16*z^40 + 2682042*w^18*z^40 +
    14356881*w^20*z^40 + 40567131*w^22*z^40 + 79142976*w^24*z^40 +
    122589291*w^26*z^40 + 162715311*w^28*z^40 + 192726831*w^30*z^40 +
    208450572*w^32*z^40 + 208450572*w^34*z^40 + 192726831*w^36*z^40 +
    162715311*w^38*z^40 + 122589291*w^40*z^40 + 79142976*w^42*z^40 +
    40567131*w^44*z^40 + 14356881*w^46*z^40 + 2682042*w^48*z^40 +
    115104*w^50*z^40 + 800646*w^16*z^44 + 6572610*w^18*z^44 +
    21681099*w^20*z^44 + 44960058*w^22*z^44 + 71351181*w^24*z^44 +
    96214404*w^26*z^44 + 116176368*w^28*z^44 + 129532271*w^30*z^44 +
    136172289*w^32*z^44 + 136172289*w^34*z^44 + 129532271*w^36*z^44 +
    116176368*w^38*z^44 + 96214404*w^40*z^44 + 71351181*w^42*z^44 +
    44960058*w^44*z^44 + 21681099*w^46*z^44 + 6572610*w^48*z^44 +
    800646*w^50*z^44 + 137544*w^14*z^48 + 2408835*w^16*z^48 +
    9848124*w^18*z^48 + 21882036*w^20*z^48 + 35070717*w^22*z^48 +
    47118390*w^24*z^48 + 56544642*w^26*z^48 + 63011322*w^28*z^48 +
    67258257*w^30*z^48 + 69499617*w^32*z^48 + 69499617*w^34*z^48 +
    67258257*w^36*z^48 + 63011322*w^38*z^48 + 56544642*w^40*z^48 +
    47118390*w^42*z^48 + 35070717*w^44*z^48 + 21882036*w^46*z^48 +
    9848124*w^48*z^48 + 2408835*w^50*z^48 + 137544*w^52*z^48 +
    646602*w^14*z^52 + 3838890*w^16*z^52 + 9384474*w^18*z^52 +
    15065259*w^20*z^52 + 19885800*w^22*z^52 + 23326083*w^24*z^52 +
    25595229*w^26*z^52 + 27326343*w^28*z^52 + 28540446*w^30*z^52 +
    29106132*w^32*z^52 + 29106132*w^34*z^52 + 28540446*w^36*z^52 +
    27326343*w^38*z^52 + 25595229*w^40*z^52 + 23326083*w^42*z^52 +
    19885800*w^44*z^52 + 15065259*w^46*z^52 + 9384474*w^48*z^52 +
    3838890*w^50*z^52 + 646602*w^52*z^52 + 105402*w^12*z^56 +
    1269939*w^14*z^56 + 3583701*w^16*z^56 + 5798067*w^18*z^56 +
    7444833*w^20*z^56 + 8452422*w^22*z^56 + 9037996*w^24*z^56 +
    9563037*w^26*z^56 + 10041306*w^28*z^56 + 10309442*w^30*z^56 +
    10385595*w^32*z^56 + 10385595*w^34*z^56 + 10309442*w^36*z^56 +
    10041306*w^38*z^56 + 9563037*w^40*z^56 + 9037996*w^42*z^56 +
    8452422*w^44*z^56 + 7444833*w^46*z^56 + 5798067*w^48*z^56 +
    3583701*w^50*z^56 + 1269939*w^52*z^56 + 105402*w^54*z^56 +
    322542*w^12*z^60 + 1234002*w^14*z^60 + 2066328*w^16*z^60 +
    2521299*w^18*z^60 + 2755104*w^20*z^60 + 2844999*w^22*z^60 +
    2971914*w^24*z^60 + 3126057*w^26*z^60 + 3178527*w^28*z^60 +
    3217170*w^30*z^60 + 3288780*w^32*z^60 + 3288780*w^34*z^60 +
    3217170*w^36*z^60 + 3178527*w^38*z^60 + 3126057*w^40*z^60 +
    2971914*w^42*z^60 + 2844999*w^44*z^60 + 2755104*w^46*z^60 +
    2521299*w^48*z^60 + 2066328*w^50*z^60 + 1234002*w^52*z^60 +
    322542*w^54*z^60 + 52701*w^10*z^64 + 387057*w^12*z^64 +
    680559*w^14*z^64 + 776622*w^16*z^64 + 831930*w^18*z^64 +
    807147*w^20*z^64 + 821502*w^22*z^64 + 871200*w^24*z^64 +
    880935*w^26*z^64 + 891000*w^28*z^64 + 907863*w^30*z^64 +
    913341*w^32*z^64 + 913341*w^34*z^64 + 907863*w^36*z^64 +
    891000*w^38*z^64 + 880935*w^40*z^64 + 871200*w^42*z^64 +
    821502*w^44*z^64 + 807147*w^46*z^64 + 831930*w^48*z^64 +
    776622*w^50*z^64 + 680559*w^52*z^64 + 387057*w^54*z^64 +
    52701*w^56*z^64 + 98274*w^10*z^68 + 209352*w^12*z^68 + 233640*w^14*z^68 +
    233574*w^16*z^68 + 201146*w^18*z^68 + 209055*w^20*z^68 +
    226578*w^22*z^68 + 220077*w^24*z^68 + 216579*w^26*z^68 +
    227931*w^28*z^68 + 234718*w^30*z^68 + 224532*w^32*z^68 +
    224532*w^34*z^68 + 234718*w^36*z^68 + 227931*w^38*z^68 +
    216579*w^40*z^68 + 220077*w^42*z^68 + 226578*w^44*z^68 +
    209055*w^46*z^68 + 201146*w^48*z^68 + 233574*w^50*z^68 +
    233640*w^52*z^68 + 209352*w^54*z^68 + 98274*w^56*z^68 + 17193*w^8*z^72 +
    65076*w^10*z^72 + 67155*w^12*z^72 + 55143*w^14*z^72 + 48840*w^16*z^72 +
    51084*w^18*z^72 + 49764*w^20*z^72 + 48774*w^22*z^72 + 49434*w^24*z^72 +
    52206*w^26*z^72 + 51579*w^28*z^72 + 48873*w^30*z^72 + 52800*w^32*z^72 +
    52800*w^34*z^72 + 48873*w^36*z^72 + 51579*w^38*z^72 + 52206*w^40*z^72 +
    49434*w^42*z^72 + 48774*w^44*z^72 + 49764*w^46*z^72 + 51084*w^48*z^72 +
    48840*w^50*z^72 + 55143*w^52*z^72 + 67155*w^54*z^72 + 65076*w^56*z^72 +
    17193*w^58*z^72 + 17589*w^8*z^76 + 17325*w^10*z^76 + 13398*w^12*z^76 +
    13134*w^14*z^76 + 8844*w^16*z^76 + 9570*w^18*z^76 + 11913*w^20*z^76 +
    9438*w^22*z^76 + 9834*w^24*z^76 + 11319*w^26*z^76 + 10098*w^28*z^76 +
    10032*w^30*z^76 + 10725*w^32*z^76 + 10725*w^34*z^76 + 10032*w^36*z^76 +
    10098*w^38*z^76 + 11319*w^40*z^76 + 9834*w^42*z^76 + 9438*w^44*z^76 +
    11913*w^46*z^76 + 9570*w^48*z^76 + 8844*w^50*z^76 + 13134*w^52*z^76 +
    13398*w^54*z^76 + 17325*w^56*z^76 + 17589*w^58*z^76 + 3597*w^6*z^80 +
    5412*w^8*z^80 + 3597*w^10*z^80 + 2288*w^12*z^80 + 1023*w^14*z^80 +
    2508*w^16*z^80 + 2189*w^18*z^80 + 1155*w^20*z^80 + 2211*w^22*z^80 +
    2211*w^24*z^80 + 1419*w^26*z^80 + 1947*w^28*z^80 + 2222*w^30*z^80 +
    1683*w^32*z^80 + 1683*w^34*z^80 + 2222*w^36*z^80 + 1947*w^38*z^80 +
    1419*w^40*z^80 + 2211*w^42*z^80 + 2211*w^44*z^80 + 1155*w^46*z^80 +
    2189*w^48*z^80 + 2508*w^50*z^80 + 1023*w^52*z^80 + 2288*w^54*z^80 +
    3597*w^56*z^80 + 5412*w^58*z^80 + 3597*w^60*z^80 + 1683*w^6*z^84 +
    627*w^8*z^84 + 297*w^10*z^84 + 363*w^12*z^84 + 396*w^14*z^84 +
    198*w^16*z^84 + 330*w^18*z^84 + 363*w^20*z^84 + 231*w^22*z^84 +
    330*w^24*z^84 + 330*w^26*z^84 + 264*w^28*z^84 + 330*w^30*z^84 +
    297*w^32*z^84 + 297*w^34*z^84 + 330*w^36*z^84 + 264*w^38*z^84 +
    330*w^40*z^84 + 330*w^42*z^84 + 231*w^44*z^84 + 363*w^46*z^84 +
    330*w^48*z^84 + 198*w^50*z^84 + 396*w^52*z^84 + 363*w^54*z^84 +
    297*w^56*z^84 + 627*w^58*z^84 + 1683*w^60*z^84 + 462*w^4*z^88 +
    165*w^6*z^88 + 99*w^8*z^88 + 66*w^10*z^88 + 66*w^14*z^88 + 66*w^16*z^88 +
    66*w^20*z^88 + 66*w^22*z^88 + 66*w^26*z^88 + 66*w^28*z^88 +
    66*w^32*z^88 + 66*w^34*z^88 + 66*w^38*z^88 + 66*w^40*z^88 +
    66*w^44*z^88 + 66*w^46*z^88 + 66*w^50*z^88 + 66*w^52*z^88 +
    66*w^56*z^88 + 99*w^58*z^88 + 165*w^60*z^88 + 462*w^62*z^88 +
    66*w^4*z^92 + 11*w^6*z^92 + 11*w^12*z^92 + 11*w^18*z^92 + 11*w^24*z^92 +
    11*w^30*z^92 + 11*w^36*z^92 + 11*w^42*z^92 + 11*w^48*z^92 +
    11*w^54*z^92 + 11*w^60*z^92 + 66*w^62*z^92 + 33*w^2*z^96 + 33*w^64*z^96 +
    z^104 + w^66*z^104)/(w^33*z^38),
  (6*w^36 + 216*w^34*z^4 + 360*w^36*z^4 + 216*w^38*z^4 + 1890*w^32*z^8 +
    6516*w^34*z^8 + 9792*w^36*z^8 + 6516*w^38*z^8 + 1890*w^40*z^8 +
    7392*w^30*z^12 + 46548*w^32*z^12 + 125028*w^34*z^12 + 168612*w^36*z^12 +
    125028*w^38*z^12 + 46548*w^40*z^12 + 7392*w^42*z^12 + 13932*w^28*z^16 +
    151920*w^30*z^16 + 614430*w^32*z^16 + 1265148*w^34*z^16 +
    1590480*w^36*z^16 + 1265148*w^38*z^16 + 614430*w^40*z^16 +
    151920*w^42*z^16 + 13932*w^44*z^16 + 12312*w^26*z^20 + 261576*w^28*z^20 +
    1564524*w^30*z^20 + 4555260*w^32*z^20 + 8244900*w^34*z^20 +
    9972360*w^36*z^20 + 8244900*w^38*z^20 + 4555260*w^40*z^20 +
    1564524*w^42*z^20 + 261576*w^44*z^20 + 12312*w^46*z^20 + 4098*w^24*z^24 +
    257760*w^26*z^24 + 2420046*w^28*z^24 + 9791412*w^30*z^24 +
    23778603*w^32*z^24 + 38896524*w^34*z^24 + 45559968*w^36*z^24 +
    38896524*w^38*z^24 + 23778603*w^40*z^24 + 9791412*w^42*z^24 +
    2420046*w^44*z^24 + 257760*w^46*z^24 + 4098*w^48*z^24 +
    144360*w^24*z^28 + 2446992*w^26*z^28 + 13939776*w^28*z^28 +
    43793712*w^30*z^28 + 90784908*w^32*z^28 + 136638144*w^34*z^28 +
    155912184*w^36*z^28 + 136638144*w^38*z^28 + 90784908*w^40*z^28 +
    43793712*w^42*z^28 + 13939776*w^44*z^28 + 2446992*w^46*z^28 +
    144360*w^48*z^28 + 36864*w^22*z^32 + 1634148*w^24*z^32 +
    13930956*w^26*z^32 + 56423682*w^28*z^32 + 143709588*w^30*z^32 +
    262957770*w^32*z^32 + 369351648*w^34*z^32 + 412163802*w^36*z^32 +
    369351648*w^38*z^32 + 262957770*w^40*z^32 + 143709588*w^42*z^32 +
    56423682*w^44*z^32 + 13930956*w^46*z^32 + 1634148*w^48*z^32 +
    36864*w^50*z^32 + 681984*w^22*z^36 + 10020768*w^24*z^36 +
    53789328*w^26*z^36 + 166580352*w^28*z^36 + 358439652*w^30*z^36 +
    588418776*w^32*z^36 + 777795444*w^34*z^36 + 851181456*w^36*z^36 +
    777795444*w^38*z^36 + 588418776*w^40*z^36 + 358439652*w^42*z^36 +
    166580352*w^44*z^36 + 53789328*w^46*z^36 + 10020768*w^48*z^36 +
    681984*w^50*z^36 + 142848*w^20*z^40 + 5124960*w^22*z^40 +
    39086658*w^24*z^40 + 148289616*w^26*z^40 + 368703072*w^28*z^40 +
    684265896*w^30*z^40 + 1021819590*w^32*z^40 + 1281057084*w^34*z^40 +
    1378232172*w^36*z^40 + 1281057084*w^38*z^40 + 1021819590*w^40*z^40 +
    684265896*w^42*z^40 + 368703072*w^44*z^40 + 148289616*w^46*z^40 +
    39086658*w^48*z^40 + 5124960*w^50*z^40 + 142848*w^52*z^40 +
    1734336*w^20*z^44 + 21814416*w^22*z^44 + 104607792*w^24*z^44 +
    299555064*w^26*z^44 + 615368088*w^28*z^44 + 1003772700*w^30*z^44 +
    1378568052*w^32*z^44 + 1648873368*w^34*z^44 + 1747218204*w^36*z^44 +
    1648873368*w^38*z^44 + 1378568052*w^40*z^44 + 1003772700*w^42*z^44 +
    615368088*w^44*z^44 + 299555064*w^46*z^44 + 104607792*w^48*z^44 +
    21814416*w^50*z^44 + 1734336*w^52*z^44 + 313344*w^18*z^48 +
    9140670*w^20*z^48 + 59454036*w^22*z^48 + 198489150*w^24*z^48 +
    446550444*w^26*z^48 + 776793888*w^28*z^48 + 1130253252*w^30*z^48 +
    1440220590*w^32*z^48 + 1649595816*w^34*z^48 + 1723194788*w^36*z^48 +
    1649595816*w^38*z^48 + 1440220590*w^40*z^48 + 1130253252*w^42*z^48 +
    776793888*w^44*z^48 + 446550444*w^46*z^48 + 198489150*w^48*z^48 +
    59454036*w^50*z^48 + 9140670*w^52*z^48 + 313344*w^54*z^48 +
    2650320*w^18*z^52 + 27269604*w^20*z^52 + 109732572*w^22*z^52 +
    270347112*w^24*z^52 + 493324920*w^26*z^52 + 741876516*w^28*z^52 +
    976105512*w^30*z^52 + 1162305936*w^32*z^52 + 1280105316*w^34*z^52 +
    1320156288*w^36*z^52 + 1280105316*w^38*z^52 + 1162305936*w^40*z^52 +
    976105512*w^42*z^52 + 741876516*w^44*z^52 + 493324920*w^46*z^52 +
    270347112*w^48*z^52 + 109732572*w^50*z^52 + 27269604*w^52*z^52 +
    2650320*w^54*z^52 + 430992*w^16*z^56 + 9838836*w^18*z^56 +
    51175620*w^20*z^56 + 139998708*w^22*z^56 + 265852152*w^24*z^56 +
    406312128*w^26*z^56 + 539680356*w^28*z^56 + 649732392*w^30*z^56 +
    729971775*w^32*z^56 + 779138064*w^34*z^56 + 795968712*w^36*z^56 +
    779138064*w^38*z^56 + 729971775*w^40*z^56 + 649732392*w^42*z^56 +
    539680356*w^44*z^56 + 406312128*w^46*z^56 + 265852152*w^48*z^56 +
    139998708*w^50*z^56 + 51175620*w^52*z^56 + 9838836*w^54*z^56 +
    430992*w^56*z^56 + 2556180*w^16*z^60 + 20143368*w^18*z^60 +
    63232992*w^20*z^60 + 125043300*w^22*z^60 + 191887728*w^24*z^60 +
    253300752*w^26*z^60 + 303025212*w^28*z^60 + 340606632*w^30*z^60 +
    367688772*w^32*z^60 + 384198876*w^34*z^60 + 389591928*w^36*z^60 +
    384198876*w^38*z^60 + 367688772*w^40*z^60 + 340606632*w^42*z^60 +
    303025212*w^44*z^60 + 253300752*w^46*z^60 + 191887728*w^48*z^60 +
    125043300*w^50*z^60 + 63232992*w^52*z^60 + 20143368*w^54*z^60 +
    2556180*w^56*z^60 + 389808*w^14*z^64 + 6532992*w^16*z^64 +
    25110972*w^18*z^64 + 52429860*w^20*z^64 + 80174376*w^22*z^64 +
    104222934*w^24*z^64 + 122450004*w^26*z^64 + 135971892*w^28*z^64 +
    146910636*w^30*z^64 + 154972710*w^32*z^64 + 159466572*w^34*z^64 +
    160882578*w^36*z^64 + 159466572*w^38*z^64 + 154972710*w^40*z^64 +
    146910636*w^42*z^64 + 135971892*w^44*z^64 + 122450004*w^46*z^64 +
    104222934*w^48*z^64 + 80174376*w^50*z^64 + 52429860*w^52*z^64 +
    25110972*w^54*z^64 + 6532992*w^56*z^64 + 389808*w^58*z^64 +
    1586556*w^14*z^68 + 8791848*w^16*z^68 + 19981224*w^18*z^68 +
    30284496*w^20*z^68 + 38503548*w^22*z^68 + 43967592*w^24*z^68 +
    47878956*w^26*z^68 + 51554628*w^28*z^68 + 54423288*w^30*z^68 +
    56223648*w^32*z^68 + 57420036*w^34*z^68 + 57894336*w^36*z^68 +
    57420036*w^38*z^68 + 56223648*w^40*z^68 + 54423288*w^42*z^68 +
    51554628*w^44*z^68 + 47878956*w^46*z^68 + 43967592*w^48*z^68 +
    38503548*w^50*z^68 + 30284496*w^52*z^68 + 19981224*w^54*z^68 +
    8791848*w^56*z^68 + 1586556*w^58*z^68 + 236970*w^12*z^72 +
    2671884*w^14*z^72 + 6945930*w^16*z^72 + 10513440*w^18*z^72 +
    12991284*w^20*z^72 + 14285952*w^22*z^72 + 15159384*w^24*z^72 +
    16193052*w^26*z^72 + 17058366*w^28*z^72 + 17582568*w^30*z^72 +
    17985240*w^32*z^72 + 18323244*w^34*z^72 + 18461280*w^36*z^72 +
    18323244*w^38*z^72 + 17985240*w^40*z^72 + 17582568*w^42*z^72 +
    17058366*w^44*z^72 + 16193052*w^46*z^72 + 15159384*w^48*z^72 +
    14285952*w^50*z^72 + 12991284*w^52*z^72 + 10513440*w^54*z^72 +
    6945930*w^56*z^72 + 2671884*w^58*z^72 + 236970*w^60*z^72 +
    633852*w^12*z^76 + 2219004*w^14*z^76 + 3452040*w^16*z^76 +
    4039308*w^18*z^76 + 4263120*w^20*z^76 + 4382208*w^22*z^76 +
    4617324*w^24*z^76 + 4849956*w^26*z^76 + 4935888*w^28*z^76 +
    5059872*w^30*z^76 + 5226408*w^32*z^76 + 5248080*w^34*z^76 +
    5210532*w^36*z^76 + 5248080*w^38*z^76 + 5226408*w^40*z^76 +
    5059872*w^42*z^76 + 4935888*w^44*z^76 + 4849956*w^46*z^76 +
    4617324*w^48*z^76 + 4382208*w^50*z^76 + 4263120*w^52*z^76 +
    4039308*w^54*z^76 + 3452040*w^56*z^76 + 2219004*w^58*z^76 +
    633852*w^60*z^76 + 97452*w^10*z^80 + 658170*w^12*z^80 +
    1064232*w^14*z^80 + 1154196*w^16*z^80 + 1203552*w^18*z^80 +
    1156338*w^20*z^80 + 1184724*w^22*z^80 + 1262574*w^24*z^80 +
    1267524*w^26*z^80 + 1292922*w^28*z^80 + 1334088*w^30*z^80 +
    1338228*w^32*z^80 + 1347696*w^34*z^80 + 1360044*w^36*z^80 +
    1347696*w^38*z^80 + 1338228*w^40*z^80 + 1334088*w^42*z^80 +
    1292922*w^44*z^80 + 1267524*w^46*z^80 + 1262574*w^48*z^80 +
    1184724*w^50*z^80 + 1156338*w^52*z^80 + 1203552*w^54*z^80 +
    1154196*w^56*z^80 + 1064232*w^58*z^80 + 658170*w^60*z^80 +
    97452*w^62*z^80 + 160128*w^10*z^84 + 309420*w^12*z^84 +
    326988*w^14*z^84 + 320976*w^16*z^84 + 267196*w^18*z^84 +
    284652*w^20*z^84 + 311616*w^22*z^84 + 293976*w^24*z^84 +
    295740*w^26*z^84 + 316152*w^28*z^84 + 318132*w^30*z^84 +
    307908*w^32*z^84 + 314928*w^34*z^84 + 326200*w^36*z^84 +
    314928*w^38*z^84 + 307908*w^40*z^84 + 318132*w^42*z^84 +
    316152*w^44*z^84 + 295740*w^46*z^84 + 293976*w^48*z^84 +
    311616*w^50*z^84 + 284652*w^52*z^84 + 267196*w^54*z^84 +
    320976*w^56*z^84 + 326988*w^58*z^84 + 309420*w^60*z^84 +
    160128*w^62*z^84 + 26937*w^8*z^88 + 92700*w^10*z^88 + 89838*w^12*z^88 +
    71496*w^14*z^88 + 60894*w^16*z^88 + 67032*w^18*z^88 + 64584*w^20*z^88 +
    61416*w^22*z^88 + 64836*w^24*z^88 + 67968*w^26*z^88 + 65808*w^28*z^88 +
    63936*w^30*z^88 + 69264*w^32*z^88 + 68508*w^34*z^88 + 63648*w^36*z^88 +
    68508*w^38*z^88 + 69264*w^40*z^88 + 63936*w^42*z^88 + 65808*w^44*z^88 +
    67968*w^46*z^88 + 64836*w^48*z^88 + 61416*w^50*z^88 + 64584*w^52*z^88 +
    67032*w^54*z^88 + 60894*w^56*z^88 + 71496*w^58*z^88 + 89838*w^60*z^88 +
    92700*w^62*z^88 + 26937*w^64*z^88 + 24480*w^8*z^92 + 21996*w^10*z^92 +
    16416*w^12*z^92 + 16056*w^14*z^92 + 10980*w^16*z^92 + 11700*w^18*z^92 +
    14688*w^20*z^92 + 11592*w^22*z^92 + 12096*w^24*z^92 + 14112*w^26*z^92 +
    12276*w^28*z^92 + 12420*w^30*z^92 + 13536*w^32*z^92 + 12924*w^34*z^92 +
    12528*w^36*z^92 + 12924*w^38*z^92 + 13536*w^40*z^92 + 12420*w^42*z^92 +
    12276*w^44*z^92 + 14112*w^46*z^92 + 12096*w^48*z^92 + 11592*w^50*z^92 +
    14688*w^52*z^92 + 11700*w^54*z^92 + 10980*w^56*z^92 + 16056*w^58*z^92 +
    16416*w^60*z^92 + 21996*w^62*z^92 + 24480*w^64*z^92 + 4896*w^6*z^96 +
    6660*w^8*z^96 + 4320*w^10*z^96 + 2718*w^12*z^96 + 1116*w^14*z^96 +
    3024*w^16*z^96 + 2616*w^18*z^96 + 1260*w^20*z^96 + 2700*w^22*z^96 +
    2646*w^24*z^96 + 1548*w^26*z^96 + 2412*w^28*z^96 + 2664*w^30*z^96 +
    1836*w^32*z^96 + 2124*w^34*z^96 + 2670*w^36*z^96 + 2124*w^38*z^96 +
    1836*w^40*z^96 + 2664*w^42*z^96 + 2412*w^44*z^96 + 1548*w^46*z^96 +
    2646*w^48*z^96 + 2700*w^50*z^96 + 1260*w^52*z^96 + 2616*w^54*z^96 +
    3024*w^56*z^96 + 1116*w^58*z^96 + 2718*w^60*z^96 + 4320*w^62*z^96 +
    6660*w^64*z^96 + 4896*w^66*z^96 + 2052*w^6*z^100 + 720*w^8*z^100 +
    324*w^10*z^100 + 396*w^12*z^100 + 468*w^14*z^100 + 216*w^16*z^100 +
    360*w^18*z^100 + 432*w^20*z^100 + 252*w^22*z^100 + 360*w^24*z^100 +
    396*w^26*z^100 + 288*w^28*z^100 + 360*w^30*z^100 + 360*w^32*z^100 +
    324*w^34*z^100 + 360*w^36*z^100 + 324*w^38*z^100 + 360*w^40*z^100 +
    360*w^42*z^100 + 288*w^44*z^100 + 396*w^46*z^100 + 360*w^48*z^100 +
    252*w^50*z^100 + 432*w^52*z^100 + 360*w^54*z^100 + 216*w^56*z^100 +
    468*w^58*z^100 + 396*w^60*z^100 + 324*w^62*z^100 + 720*w^64*z^100 +
    2052*w^66*z^100 + 558*w^4*z^104 + 180*w^6*z^104 + 108*w^8*z^104 +
    72*w^10*z^104 + 72*w^14*z^104 + 72*w^16*z^104 + 72*w^20*z^104 +
    72*w^22*z^104 + 72*w^26*z^104 + 72*w^28*z^104 + 72*w^32*z^104 +
    72*w^34*z^104 + 72*w^38*z^104 + 72*w^40*z^104 + 72*w^44*z^104 +
    72*w^46*z^104 + 72*w^50*z^104 + 72*w^52*z^104 + 72*w^56*z^104 +
    72*w^58*z^104 + 72*w^62*z^104 + 108*w^64*z^104 + 180*w^66*z^104 +
    558*w^68*z^104 + 72*w^4*z^108 + 12*w^6*z^108 + 12*w^12*z^108 +
    12*w^18*z^108 + 12*w^24*z^108 + 12*w^30*z^108 + 12*w^36*z^108 +
    12*w^42*z^108 + 12*w^48*z^108 + 12*w^54*z^108 + 12*w^60*z^108 +
    12*w^66*z^108 + 72*w^68*z^108 + 36*w^2*z^112 + 36*w^70*z^112 + z^120 +
    w^72*z^120)/(w^36*z^48), (546*w^36 + 2145*w^38 + 2145*w^40 + 546*w^42 +
    5460*w^34*z^4 + 32136*w^36*z^4 + 63726*w^38*z^4 + 63726*w^40*z^4 +
    32136*w^42*z^4 + 5460*w^44*z^4 + 19656*w^32*z^8 + 169728*w^34*z^8 +
    522717*w^36*z^8 + 883350*w^38*z^8 + 883350*w^40*z^8 + 522717*w^42*z^8 +
    169728*w^44*z^8 + 19656*w^46*z^8 + 33150*w^30*z^12 + 454038*w^32*z^12 +
    2087319*w^34*z^12 + 5203926*w^36*z^12 + 7966725*w^38*z^12 +
    7966725*w^40*z^12 + 5203926*w^42*z^12 + 2087319*w^44*z^12 +
    454038*w^46*z^12 + 33150*w^48*z^12 + 26598*w^28*z^16 + 693888*w^30*z^16 +
    4790955*w^32*z^16 + 16537638*w^34*z^16 + 34743813*w^36*z^16 +
    49397751*w^38*z^16 + 49397751*w^40*z^16 + 34743813*w^42*z^16 +
    16537638*w^44*z^16 + 4790955*w^46*z^16 + 693888*w^48*z^16 +
    26598*w^50*z^16 + 8190*w^26*z^20 + 632658*w^28*z^20 + 6941376*w^30*z^20 +
    32714916*w^32*z^20 + 90071592*w^34*z^20 + 167985246*w^36*z^20 +
    226227846*w^38*z^20 + 226227846*w^40*z^20 + 167985246*w^42*z^20 +
    90071592*w^44*z^20 + 32714916*w^46*z^20 + 6941376*w^48*z^20 +
    632658*w^50*z^20 + 8190*w^52*z^20 + 332826*w^26*z^24 +
    6674772*w^28*z^24 + 44064111*w^30*z^24 + 156483483*w^32*z^24 +
    366172677*w^34*z^24 + 619279713*w^36*z^24 + 796470324*w^38*z^24 +
    796470324*w^40*z^24 + 619279713*w^42*z^24 + 366172677*w^44*z^24 +
    156483483*w^46*z^24 + 44064111*w^48*z^24 + 6674772*w^50*z^24 +
    332826*w^52*z^24 + 79872*w^24*z^28 + 4268004*w^26*z^28 +
    42396315*w^28*z^28 + 195416403*w^30*z^28 + 560713491*w^32*z^28 +
    1141914111*w^34*z^28 + 1776648939*w^36*z^28 + 2196548094*w^38*z^28 +
    2196548094*w^40*z^28 + 1776648939*w^42*z^28 + 1141914111*w^44*z^28 +
    560713491*w^46*z^28 + 195416403*w^48*z^28 + 42396315*w^50*z^28 +
    4268004*w^52*z^28 + 79872*w^54*z^28 + 1707264*w^24*z^32 +
    29593044*w^26*z^32 + 182900016*w^28*z^32 + 640882749*w^30*z^32 +
    1536211833*w^32*z^32 + 2782619229*w^34*z^32 + 4028371854*w^36*z^32 +
    4811940120*w^38*z^32 + 4811940120*w^40*z^32 + 4028371854*w^42*z^32 +
    2782619229*w^44*z^32 + 1536211833*w^46*z^32 + 640882749*w^48*z^32 +
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    13230*w^76*z^276 + 18900*w^78*z^276 + 10350*w^80*z^276 +
    12510*w^82*z^276 + 18945*w^84*z^276 + 11070*w^86*z^276 +
    11790*w^88*z^276 + 18960*w^90*z^276 + 11790*w^92*z^276 +
    11070*w^94*z^276 + 18945*w^96*z^276 + 12510*w^98*z^276 +
    10350*w^100*z^276 + 18900*w^102*z^276 + 13230*w^104*z^276 +
    9630*w^106*z^276 + 18825*w^108*z^276 + 13950*w^110*z^276 +
    8910*w^112*z^276 + 18720*w^114*z^276 + 14670*w^116*z^276 +
    8190*w^118*z^276 + 18585*w^120*z^276 + 15390*w^122*z^276 +
    7470*w^124*z^276 + 18420*w^126*z^276 + 16110*w^128*z^276 +
    6750*w^130*z^276 + 18225*w^132*z^276 + 16830*w^134*z^276 +
    6030*w^136*z^276 + 18000*w^138*z^276 + 17550*w^140*z^276 +
    5310*w^142*z^276 + 17745*w^144*z^276 + 18270*w^146*z^276 +
    4590*w^148*z^276 + 17460*w^150*z^276 + 18990*w^152*z^276 +
    3870*w^154*z^276 + 17145*w^156*z^276 + 19710*w^158*z^276 +
    3150*w^160*z^276 + 16800*w^162*z^276 + 20520*w^164*z^276 +
    2790*w^166*z^276 + 16785*w^168*z^276 + 28620*w^170*z^276 +
    50670*w^172*z^276 + 102150*w^174*z^276 + 14850*w^6*z^280 +
    3420*w^8*z^280 + 810*w^10*z^280 + 990*w^12*z^280 + 2790*w^14*z^280 +
    540*w^16*z^280 + 900*w^18*z^280 + 2700*w^20*z^280 + 630*w^22*z^280 +
    900*w^24*z^280 + 2610*w^26*z^280 + 720*w^28*z^280 + 900*w^30*z^280 +
    2520*w^32*z^280 + 810*w^34*z^280 + 900*w^36*z^280 + 2430*w^38*z^280 +
    900*w^40*z^280 + 900*w^42*z^280 + 2340*w^44*z^280 + 990*w^46*z^280 +
    900*w^48*z^280 + 2250*w^50*z^280 + 1080*w^52*z^280 + 900*w^54*z^280 +
    2160*w^56*z^280 + 1170*w^58*z^280 + 900*w^60*z^280 + 2070*w^62*z^280 +
    1260*w^64*z^280 + 900*w^66*z^280 + 1980*w^68*z^280 + 1350*w^70*z^280 +
    900*w^72*z^280 + 1890*w^74*z^280 + 1440*w^76*z^280 + 900*w^78*z^280 +
    1800*w^80*z^280 + 1530*w^82*z^280 + 900*w^84*z^280 + 1710*w^86*z^280 +
    1620*w^88*z^280 + 900*w^90*z^280 + 1620*w^92*z^280 + 1710*w^94*z^280 +
    900*w^96*z^280 + 1530*w^98*z^280 + 1800*w^100*z^280 + 900*w^102*z^280 +
    1440*w^104*z^280 + 1890*w^106*z^280 + 900*w^108*z^280 +
    1350*w^110*z^280 + 1980*w^112*z^280 + 900*w^114*z^280 +
    1260*w^116*z^280 + 2070*w^118*z^280 + 900*w^120*z^280 +
    1170*w^122*z^280 + 2160*w^124*z^280 + 900*w^126*z^280 +
    1080*w^128*z^280 + 2250*w^130*z^280 + 900*w^132*z^280 + 990*w^134*z^280 +
    2340*w^136*z^280 + 900*w^138*z^280 + 900*w^140*z^280 + 2430*w^142*z^280 +
    900*w^144*z^280 + 810*w^146*z^280 + 2520*w^148*z^280 + 900*w^150*z^280 +
    720*w^152*z^280 + 2610*w^154*z^280 + 900*w^156*z^280 + 630*w^158*z^280 +
    2700*w^160*z^280 + 900*w^162*z^280 + 540*w^164*z^280 + 2790*w^166*z^280 +
    990*w^168*z^280 + 810*w^170*z^280 + 3420*w^172*z^280 +
    14850*w^174*z^280 + 3825*w^4*z^284 + 450*w^6*z^284 + 270*w^8*z^284 +
    180*w^10*z^284 + 180*w^14*z^284 + 180*w^16*z^284 + 180*w^20*z^284 +
    180*w^22*z^284 + 180*w^26*z^284 + 180*w^28*z^284 + 180*w^32*z^284 +
    180*w^34*z^284 + 180*w^38*z^284 + 180*w^40*z^284 + 180*w^44*z^284 +
    180*w^46*z^284 + 180*w^50*z^284 + 180*w^52*z^284 + 180*w^56*z^284 +
    180*w^58*z^284 + 180*w^62*z^284 + 180*w^64*z^284 + 180*w^68*z^284 +
    180*w^70*z^284 + 180*w^74*z^284 + 180*w^76*z^284 + 180*w^80*z^284 +
    180*w^82*z^284 + 180*w^86*z^284 + 180*w^88*z^284 + 180*w^92*z^284 +
    180*w^94*z^284 + 180*w^98*z^284 + 180*w^100*z^284 + 180*w^104*z^284 +
    180*w^106*z^284 + 180*w^110*z^284 + 180*w^112*z^284 + 180*w^116*z^284 +
    180*w^118*z^284 + 180*w^122*z^284 + 180*w^124*z^284 + 180*w^128*z^284 +
    180*w^130*z^284 + 180*w^134*z^284 + 180*w^136*z^284 + 180*w^140*z^284 +
    180*w^142*z^284 + 180*w^146*z^284 + 180*w^148*z^284 + 180*w^152*z^284 +
    180*w^154*z^284 + 180*w^158*z^284 + 180*w^160*z^284 + 180*w^164*z^284 +
    180*w^166*z^284 + 180*w^170*z^284 + 270*w^172*z^284 + 450*w^174*z^284 +
    3825*w^176*z^284 + 180*w^4*z^288 + 30*w^6*z^288 + 30*w^12*z^288 +
    30*w^18*z^288 + 30*w^24*z^288 + 30*w^30*z^288 + 30*w^36*z^288 +
    30*w^42*z^288 + 30*w^48*z^288 + 30*w^54*z^288 + 30*w^60*z^288 +
    30*w^66*z^288 + 30*w^72*z^288 + 30*w^78*z^288 + 30*w^84*z^288 +
    30*w^90*z^288 + 30*w^96*z^288 + 30*w^102*z^288 + 30*w^108*z^288 +
    30*w^114*z^288 + 30*w^120*z^288 + 30*w^126*z^288 + 30*w^132*z^288 +
    30*w^138*z^288 + 30*w^144*z^288 + 30*w^150*z^288 + 30*w^156*z^288 +
    30*w^162*z^288 + 30*w^168*z^288 + 30*w^174*z^288 + 180*w^176*z^288 +
    90*w^2*z^292 + 90*w^178*z^292 + z^300 + w^180*z^300)/(w^90*z^120)],
 [2 + 4*z^4 + (4*z^4)/w^2 + 4*w^2*z^4 + z^8/w^4 + w^4*z^8,
  36 + 16/w^4 + 16/w^2 + 16*w^2 + 16*w^4 + 2/z^16 + 12/z^8 + 8/(w^2*z^8) +
   (8*w^2)/z^8 + 16/z^4 + 16/(w^2*z^4) + (16*w^2)/z^4 + (8*z^4)/w^4 +
   (16*z^4)/w^2 + 16*w^2*z^4 + 8*w^4*z^4 + 4*z^8 + (8*z^8)/w^6 +
   (4*z^8)/w^4 + 4*w^4*z^8 + 8*w^6*z^8 + z^16/w^8 + w^8*z^16,
  254 + 48/w^6 + 222/w^4 + 276/w^2 + 276*w^2 + 222*w^4 + 48*w^6 + 6/z^16 +
   24/z^12 + 24/(w^2*z^12) + (24*w^2)/z^12 + 120/z^8 + 18/(w^4*z^8) +
   60/(w^2*z^8) + (60*w^2)/z^8 + (18*w^4)/z^8 + 348/z^4 + 84/(w^4*z^4) +
   276/(w^2*z^4) + (276*w^2)/z^4 + (84*w^4)/z^4 + 168*z^4 + (108*z^4)/w^6 +
   (132*z^4)/w^4 + (132*z^4)/w^2 + 132*w^2*z^4 + 132*w^4*z^4 + 108*w^6*z^4 +
   (42*z^8)/w^8 + (60*z^8)/w^6 + (39*z^8)/w^4 + (24*z^8)/w^2 + 24*w^2*z^8 +
   39*w^4*z^8 + 60*w^6*z^8 + 42*w^8*z^8 + 4*z^12 + (24*z^12)/w^8 +
   (4*z^12)/w^6 + 4*w^6*z^12 + 24*w^8*z^12 + (12*z^16)/w^10 + 12*w^10*z^16 +
   z^24/w^12 + w^12*z^24, 4356 + 228/w^8 + 1248/w^6 + 2928/w^4 + 3680/w^2 +
   3680*w^2 + 2928*w^4 + 1248*w^6 + 228*w^8 + 2/z^32 + 16/(w^2*z^24) +
   (16*w^2)/z^24 + 64/z^20 + 120/z^16 + 56/(w^4*z^16) + 96/(w^2*z^16) +
   (96*w^2)/z^16 + (56*w^4)/z^16 + 576/z^12 + 64/(w^4*z^12) +
   512/(w^2*z^12) + (512*w^2)/z^12 + (64*w^4)/z^12 + 2112/z^8 +
   128/(w^6*z^8) + 768/(w^4*z^8) + 1392/(w^2*z^8) + (1392*w^2)/z^8 +
   (768*w^4)/z^8 + (128*w^6)/z^8 + 3264/z^4 + 448/(w^6*z^4) +
   1568/(w^4*z^4) + 3136/(w^2*z^4) + (3136*w^2)/z^4 + (1568*w^4)/z^4 +
   (448*w^6)/z^4 + 1600*z^4 + (576*z^4)/w^8 + (1664*z^4)/w^6 +
   (1824*z^4)/w^4 + (1920*z^4)/w^2 + 1920*w^2*z^4 + 1824*w^4*z^4 +
   1664*w^6*z^4 + 576*w^8*z^4 + 768*z^8 + (208*z^8)/w^10 + (736*z^8)/w^8 +
   (688*z^8)/w^6 + (704*z^8)/w^4 + (624*z^8)/w^2 + 624*w^2*z^8 +
   704*w^4*z^8 + 688*w^6*z^8 + 736*w^8*z^8 + 208*w^10*z^8 + (256*z^12)/w^10 +
   (256*z^12)/w^8 + (192*z^12)/w^6 + (96*z^12)/w^4 + (64*z^12)/w^2 +
   64*w^2*z^12 + 96*w^4*z^12 + 192*w^6*z^12 + 256*w^8*z^12 + 256*w^10*z^12 +
   8*z^16 + (88*z^16)/w^12 + (96*z^16)/w^10 + (24*z^16)/w^8 + 24*w^8*z^16 +
   96*w^10*z^16 + 88*w^12*z^16 + (32*z^20)/w^12 + 32*w^12*z^20 +
   (16*z^24)/w^14 + 16*w^14*z^24 + z^32/w^16 + w^16*z^32,
  48442 + 1020/w^10 + 7860/w^8 + 21440/w^6 + 36160/w^4 + 45640/w^2 +
   45640*w^2 + 36160*w^4 + 21440*w^6 + 7860*w^8 + 1020*w^10 + 10/z^32 +
   40/z^28 + 40/(w^2*z^28) + (40*w^2)/z^28 + 200/z^24 + 30/(w^4*z^24) +
   140/(w^2*z^24) + (140*w^2)/z^24 + (30*w^4)/z^24 + 960/z^20 +
   300/(w^4*z^20) + 600/(w^2*z^20) + (600*w^2)/z^20 + (300*w^4)/z^20 +
   3200/z^16 + 200/(w^6*z^16) + 930/(w^4*z^16) + 2680/(w^2*z^16) +
   (2680*w^2)/z^16 + (930*w^4)/z^16 + (200*w^6)/z^16 + 11740/z^12 +
   1080/(w^6*z^12) + 4340/(w^4*z^12) + 8980/(w^2*z^12) + (8980*w^2)/z^12 +
   (4340*w^4)/z^12 + (1080*w^6)/z^12 + 29000/z^8 + 590/(w^8*z^8) +
   4060/(w^6*z^8) + 13980/(w^4*z^8) + 24660/(w^2*z^8) + (24660*w^2)/z^8 +
   (13980*w^4)/z^8 + (4060*w^6)/z^8 + (590*w^8)/z^8 + 46640/z^4 +
   2600/(w^8*z^4) + 13100/(w^6*z^4) + 27960/(w^4*z^4) + 41300/(w^2*z^4) +
   (41300*w^2)/z^4 + (27960*w^4)/z^4 + (13100*w^6)/z^4 + (2600*w^8)/z^4 +
   30880*z^4 + (3340*z^4)/w^10 + (12600*z^4)/w^8 + (22120*z^4)/w^6 +
   (27480*z^4)/w^4 + (29820*z^4)/w^2 + 29820*w^2*z^4 + 27480*w^4*z^4 +
   22120*w^6*z^4 + 12600*w^8*z^4 + 3340*w^10*z^4 + 10380*z^8 +
   (1010*z^8)/w^12 + (5640*z^8)/w^10 + (10310*z^8)/w^8 + (11500*z^8)/w^6 +
   (11325*z^8)/w^4 + (10840*z^8)/w^2 + 10840*w^2*z^8 + 11325*w^4*z^8 +
   11500*w^6*z^8 + 10310*w^8*z^8 + 5640*w^10*z^8 + 1010*w^12*z^8 +
   2960*z^12 + (1940*z^12)/w^12 + (4200*z^12)/w^10 + (3840*z^12)/w^8 +
   (3340*z^12)/w^6 + (2920*z^12)/w^4 + (2900*z^12)/w^2 + 2900*w^2*z^12 +
   2920*w^4*z^12 + 3340*w^6*z^12 + 3840*w^8*z^12 + 4200*w^10*z^12 +
   1940*w^12*z^12 + 260*z^16 + (540*z^16)/w^14 + (1530*z^16)/w^12 +
   (1100*z^16)/w^10 + (880*z^16)/w^8 + (640*z^16)/w^6 + (540*z^16)/w^4 +
   (320*z^16)/w^2 + 320*w^2*z^16 + 540*w^4*z^16 + 640*w^6*z^16 +
   880*w^8*z^16 + 1100*w^10*z^16 + 1530*w^12*z^16 + 540*w^14*z^16 + 44*z^20 +
   (480*z^20)/w^14 + (340*z^20)/w^12 + (204*z^20)/w^10 + (80*z^20)/w^8 +
   (40*z^20)/w^6 + (40*z^20)/w^2 + 40*w^2*z^20 + 40*w^6*z^20 + 80*w^8*z^20 +
   204*w^10*z^20 + 340*w^12*z^20 + 480*w^14*z^20 + (150*z^24)/w^16 +
   (120*z^24)/w^14 + (25*z^24)/w^12 + (5*z^24)/w^4 + 5*w^4*z^24 +
   25*w^12*z^24 + 120*w^14*z^24 + 150*w^16*z^24 + (40*z^28)/w^16 +
   40*w^16*z^28 + (20*z^32)/w^18 + 20*w^18*z^32 + z^40/w^20 + w^20*z^40,
  645444 + 4768/w^12 + 47472/w^10 + 170112/w^8 + 338176/w^6 + 495528/w^4 +
   601872/w^2 + 601872*w^2 + 495528*w^4 + 338176*w^6 + 170112*w^8 +
   47472*w^10 + 4768*w^12 + 2/z^48 + 24/(w^2*z^40) + (24*w^2)/z^40 +
   96/z^36 + 270/z^32 + 132/(w^4*z^32) + 144/(w^2*z^32) + (144*w^2)/z^32 +
   (132*w^4)/z^32 + 912/z^28 + 96/(w^4*z^28) + 1152/(w^2*z^28) +
   (1152*w^2)/z^28 + (96*w^4)/z^28 + 5844/z^24 + 464/(w^6*z^24) +
   1848/(w^4*z^24) + 3504/(w^2*z^24) + (3504*w^2)/z^24 + (1848*w^4)/z^24 +
   (464*w^6)/z^24 + 19920/z^20 + 1296/(w^6*z^20) + 7800/(w^4*z^20) +
   16320/(w^2*z^20) + (16320*w^2)/z^20 + (7800*w^4)/z^20 + (1296*w^6)/z^20 +
   70062/z^16 + 1320/(w^8*z^16) + 9576/(w^6*z^16) + 29088/(w^4*z^16) +
   57672/(w^2*z^16) + (57672*w^2)/z^16 + (29088*w^4)/z^16 + (9576*w^6)/z^16 +
   (1320*w^8)/z^16 + 196384/z^12 + 5904/(w^8*z^12) + 35344/(w^6*z^12) +
   98160/(w^4*z^12) + 164736/(w^2*z^12) + (164736*w^2)/z^12 +
   (98160*w^4)/z^12 + (35344*w^6)/z^12 + (5904*w^8)/z^12 + 425964/z^8 +
   2976/(w^10*z^8) + 29004/(w^8*z^8) + 108168/(w^6*z^8) + 241596/(w^4*z^8) +
   372288/(w^2*z^8) + (372288*w^2)/z^8 + (241596*w^4)/z^8 +
   (108168*w^6)/z^8 + (29004*w^8)/z^8 + (2976*w^10)/z^8 + 628128/z^4 +
   14160/(w^10*z^4) + 83496/(w^8*z^4) + 238800/(w^6*z^4) + 428352/(w^4*z^4) +
   576768/(w^2*z^4) + (576768*w^2)/z^4 + (428352*w^4)/z^4 +
   (238800*w^6)/z^4 + (83496*w^8)/z^4 + (14160*w^10)/z^4 + 434688*z^4 +
   (18360*z^4)/w^12 + (91920*z^4)/w^10 + (203976*z^4)/w^8 +
   (309936*z^4)/w^6 + (386232*z^4)/w^4 + (427872*z^4)/w^2 + 427872*w^2*z^4 +
   386232*w^4*z^4 + 309936*w^6*z^4 + 203976*w^8*z^4 + 91920*w^10*z^4 +
   18360*w^12*z^4 + 201396*z^8 + (4896*z^8)/w^14 + (39372*z^8)/w^12 +
   (101352*z^8)/w^10 + (152100*z^8)/w^8 + (181008*z^8)/w^6 +
   (191412*z^8)/w^4 + (196176*z^8)/w^2 + 196176*w^2*z^8 + 191412*w^4*z^8 +
   181008*w^6*z^8 + 152100*w^8*z^8 + 101352*w^10*z^8 + 39372*w^12*z^8 +
   4896*w^14*z^8 + 57984*z^12 + (12720*z^12)/w^14 + (42704*z^12)/w^12 +
   (61536*z^12)/w^10 + (67032*z^12)/w^8 + (64912*z^12)/w^6 +
   (63528*z^12)/w^4 + (60912*z^12)/w^2 + 60912*w^2*z^12 + 63528*w^4*z^12 +
   64912*w^6*z^12 + 67032*w^8*z^12 + 61536*w^10*z^12 + 42704*w^12*z^12 +
   12720*w^14*z^12 + 14556*z^16 + (3048*z^16)/w^16 + (15408*z^16)/w^14 +
   (22260*z^16)/w^12 + (21552*z^16)/w^10 + (18489*z^16)/w^8 +
   (16440*z^16)/w^6 + (14364*z^16)/w^4 + (13848*z^16)/w^2 + 13848*w^2*z^16 +
   14364*w^4*z^16 + 16440*w^6*z^16 + 18489*w^8*z^16 + 21552*w^10*z^16 +
   22260*w^12*z^16 + 15408*w^14*z^16 + 3048*w^16*z^16 + 2016*z^20 +
   (4536*z^20)/w^16 + (7776*z^20)/w^14 + (6024*z^20)/w^12 +
   (4368*z^20)/w^10 + (3432*z^20)/w^8 + (2976*z^20)/w^6 + (2760*z^20)/w^4 +
   (2496*z^20)/w^2 + 2496*w^2*z^20 + 2760*w^4*z^20 + 2976*w^6*z^20 +
   3432*w^8*z^20 + 4368*w^10*z^20 + 6024*w^12*z^20 + 7776*w^14*z^20 +
   4536*w^16*z^20 + 484*z^24 + (1112*z^24)/w^18 + (2604*z^24)/w^16 +
   (1464*z^24)/w^14 + (1012*z^24)/w^12 + (720*z^24)/w^10 + (600*z^24)/w^8 +
   (360*z^24)/w^6 + (312*z^24)/w^4 + (312*z^24)/w^2 + 312*w^2*z^24 +
   312*w^4*z^24 + 360*w^6*z^24 + 600*w^8*z^24 + 720*w^10*z^24 +
   1012*w^12*z^24 + 1464*w^14*z^24 + 2604*w^16*z^24 + 1112*w^18*z^24 +
   (768*z^28)/w^18 + (408*z^28)/w^16 + (240*z^28)/w^14 + (96*z^28)/w^12 +
   (48*z^28)/w^10 + (48*z^28)/w^6 + (48*z^28)/w^4 + (48*z^28)/w^2 +
   48*w^2*z^28 + 48*w^4*z^28 + 48*w^6*z^28 + 48*w^10*z^28 + 96*w^12*z^28 +
   240*w^14*z^28 + 408*w^16*z^28 + 768*w^18*z^28 + 6*z^32 + (228*z^32)/w^20 +
   (144*z^32)/w^18 + (30*z^32)/w^16 + (6*z^32)/w^8 + 6*w^8*z^32 +
   30*w^16*z^32 + 144*w^18*z^32 + 228*w^20*z^32 + (48*z^36)/w^20 +
   48*w^20*z^36 + (24*z^40)/w^22 + 24*w^22*z^40 + z^48/w^24 + w^24*z^48,
  8785002 + 22540/w^14 + 281134/w^12 + 1209992/w^10 + 2970212/w^8 +
   5097512/w^6 + 7027034/w^4 + 8336300/w^2 + 8336300*w^2 + 7027034*w^4 +
   5097512*w^6 + 2970212*w^8 + 1209992*w^10 + 281134*w^12 + 22540*w^14 +
   14/z^48 + 56/z^44 + 56/(w^2*z^44) + (56*w^2)/z^44 + 280/z^40 +
   42/(w^4*z^40) + 252/(w^2*z^40) + (252*w^2)/z^40 + (42*w^4)/z^40 +
   2016/z^36 + 644/(w^4*z^36) + 1064/(w^2*z^36) + (1064*w^2)/z^36 +
   (644*w^4)/z^36 + 7098/z^32 + 448/(w^6*z^32) + 2170/(w^4*z^32) +
   6272/(w^2*z^32) + (6272*w^2)/z^32 + (2170*w^4)/z^32 + (448*w^6)/z^32 +
   31976/z^28 + 3528/(w^6*z^28) + 11956/(w^4*z^28) + 25312/(w^2*z^28) +
   (25312*w^2)/z^28 + (11956*w^4)/z^28 + (3528*w^6)/z^28 + 125048/z^24 +
   2198/(w^8*z^24) + 14028/(w^6*z^24) + 53774/(w^4*z^24) + 98644/(w^2*z^24) +
   (98644*w^2)/z^24 + (53774*w^4)/z^24 + (14028*w^6)/z^24 + (2198*w^8)/z^24 +
   428596/z^20 + 13328/(w^8*z^20) + 73416/(w^6*z^20) + 199164/(w^4*z^20) +
   362236/(w^2*z^20) + (362236*w^2)/z^20 + (199164*w^4)/z^20 +
   (73416*w^6)/z^20 + (13328*w^8)/z^20 + 1321334/z^16 + 6748/(w^10*z^16) +
   62692/(w^8*z^16) + 275352/(w^6*z^16) + 684250/(w^4*z^16) +
   1121008/(w^2*z^16) + (1121008*w^2)/z^16 + (684250*w^4)/z^16 +
   (275352*w^6)/z^16 + (62692*w^8)/z^16 + (6748*w^10)/z^16 + 3242120/z^12 +
   38416/(w^10*z^12) + 266812/(w^8*z^12) + 883848/(w^6*z^12) +
   1880060/(w^4*z^12) + 2841776/(w^2*z^12) + (2841776*w^2)/z^12 +
   (1880060*w^4)/z^12 + (883848*w^6)/z^12 + (266812*w^8)/z^12 +
   (38416*w^10)/z^12 + 6171172/z^8 + 14602/(w^12*z^8) + 173740/(w^10*z^8) +
   815976/(w^8*z^8) + 2176216/(w^6*z^8) + 3984862/(w^4*z^8) +
   5558588/(w^2*z^8) + (5558588*w^2)/z^8 + (3984862*w^4)/z^8 +
   (2176216*w^6)/z^8 + (815976*w^8)/z^8 + (173740*w^10)/z^8 +
   (14602*w^12)/z^8 + 8708476/z^4 + 77896/(w^12*z^4) + 560252/(w^10*z^4) +
   1851332/(w^8*z^4) + 3959620/(w^6*z^4) + 6285888/(w^4*z^4) +
   8045996/(w^2*z^4) + (8045996*w^2)/z^4 + (6285888*w^4)/z^4 +
   (3959620*w^6)/z^4 + (1851332*w^8)/z^4 + (560252*w^10)/z^4 +
   (77896*w^12)/z^4 + 6349392*z^4 + (100268*z^4)/w^14 + (626892*z^4)/w^12 +
   (1767948*z^4)/w^10 + (3191328*z^4)/w^8 + (4530316*z^4)/w^6 +
   (5535852*z^4)/w^4 + (6141996*z^4)/w^2 + 6141996*w^2*z^4 +
   5535852*w^4*z^4 + 4530316*w^6*z^4 + 3191328*w^8*z^4 + 1767948*w^10*z^4 +
   626892*w^12*z^4 + 100268*w^14*z^4 + 3281068*z^8 + (23786*z^8)/w^16 +
   (254716*z^8)/w^14 + (868168*z^8)/w^12 + (1639764*z^8)/w^10 +
   (2317224*z^8)/w^8 + (2788632*z^8)/w^6 + (3084249*z^8)/w^4 +
   (3237808*z^8)/w^2 + 3237808*w^2*z^8 + 3084249*w^4*z^8 + 2788632*w^6*z^8 +
   2317224*w^8*z^8 + 1639764*w^10*z^8 + 868168*w^12*z^8 + 254716*w^14*z^8 +
   23786*w^16*z^8 + 1228108*z^12 + (77504*z^12)/w^16 + (361340*z^12)/w^14 +
   (722680*z^12)/w^12 + (988988*z^12)/w^10 + (1134112*z^12)/w^8 +
   (1197532*z^12)/w^6 + (1217412*z^12)/w^4 + (1223656*z^12)/w^2 +
   1223656*w^2*z^12 + 1217412*w^4*z^12 + 1197532*w^6*z^12 +
   1134112*w^8*z^12 + 988988*w^10*z^12 + 722680*w^12*z^12 +
   361340*w^14*z^12 + 77504*w^16*z^12 + 335300*z^16 + (16464*z^16)/w^18 +
   (126028*z^16)/w^16 + (282884*z^16)/w^14 + (367500*z^16)/w^12 +
   (390936*z^16)/w^10 + (380380*z^16)/w^8 + (367416*z^16)/w^6 +
   (354158*z^16)/w^4 + (342972*z^16)/w^2 + 342972*w^2*z^16 +
   354158*w^4*z^16 + 367416*w^6*z^16 + 380380*w^8*z^16 + 390936*w^10*z^16 +
   367500*w^12*z^16 + 282884*w^14*z^16 + 126028*w^16*z^16 + 16464*w^18*z^16 +
   81312*z^20 + (34888*z^20)/w^18 + (101192*z^20)/w^16 + (122668*z^20)/w^14 +
   (118496*z^20)/w^12 + (104188*z^20)/w^10 + (96012*z^20)/w^8 +
   (85820*z^20)/w^6 + (80220*z^20)/w^4 + (78820*z^20)/w^2 + 78820*w^2*z^20 +
   80220*w^4*z^20 + 85820*w^6*z^20 + 96012*w^8*z^20 + 104188*w^10*z^20 +
   118496*w^12*z^20 + 122668*w^14*z^20 + 101192*w^16*z^20 + 34888*w^18*z^20 +
   14784*z^24 + (7266*z^24)/w^20 + (32480*z^24)/w^18 + (38486*z^24)/w^16 +
   (33236*z^24)/w^14 + (25858*z^24)/w^12 + (22008*z^24)/w^10 +
   (17640*z^24)/w^8 + (16996*z^24)/w^6 + (16905*z^24)/w^4 +
   (16212*z^24)/w^2 + 16212*w^2*z^24 + 16905*w^4*z^24 + 16996*w^6*z^24 +
   17640*w^8*z^24 + 22008*w^10*z^24 + 25858*w^12*z^24 + 33236*w^14*z^24 +
   38486*w^16*z^24 + 32480*w^18*z^24 + 7266*w^20*z^24 + 3028*z^28 +
   (8764*z^28)/w^20 + (12320*z^28)/w^18 + (8456*z^28)/w^16 +
   (5492*z^28)/w^14 + (4172*z^28)/w^12 + (3416*z^28)/w^10 + (3444*z^28)/w^8 +
   (3080*z^28)/w^6 + (2548*z^28)/w^4 + (2744*z^28)/w^2 + 2744*w^2*z^28 +
   2548*w^4*z^28 + 3080*w^6*z^28 + 3444*w^8*z^28 + 3416*w^10*z^28 +
   4172*w^12*z^28 + 5492*w^14*z^28 + 8456*w^16*z^28 + 12320*w^18*z^28 +
   8764*w^20*z^28 + 364*z^32 + (1988*z^32)/w^22 + (3934*z^32)/w^20 +
   (1848*z^32)/w^18 + (1176*z^32)/w^16 + (840*z^32)/w^14 + (700*z^32)/w^12 +
   (448*z^32)/w^10 + (364*z^32)/w^8 + (364*z^32)/w^6 + (560*z^32)/w^4 +
   (392*z^32)/w^2 + 392*w^2*z^32 + 560*w^4*z^32 + 364*w^6*z^32 +
   364*w^8*z^32 + 448*w^10*z^32 + 700*w^12*z^32 + 840*w^14*z^32 +
   1176*w^16*z^32 + 1848*w^18*z^32 + 3934*w^20*z^32 + 1988*w^22*z^32 +
   56*z^36 + (1120*z^36)/w^22 + (476*z^36)/w^20 + (280*z^36)/w^18 +
   (112*z^36)/w^16 + (56*z^36)/w^14 + (56*z^36)/w^10 + (56*z^36)/w^8 +
   (56*z^36)/w^6 + (56*z^36)/w^2 + 56*w^2*z^36 + 56*w^6*z^36 + 56*w^8*z^36 +
   56*w^10*z^36 + 56*w^14*z^36 + 112*w^16*z^36 + 280*w^18*z^36 +
   476*w^20*z^36 + 1120*w^22*z^36 + (322*z^40)/w^24 + (168*z^40)/w^22 +
   (35*z^40)/w^20 + (7*z^40)/w^12 + (7*z^40)/w^4 + 7*w^4*z^40 + 7*w^12*z^40 +
   35*w^20*z^40 + 168*w^22*z^40 + 322*w^24*z^40 + (56*z^44)/w^24 +
   56*w^24*z^44 + (28*z^48)/w^26 + 28*w^26*z^48 + z^56/w^28 + w^28*z^56,
  123036804 + 107844/w^16 + 1645120/w^14 + 8473104/w^12 + 24308704/w^10 +
   48512928/w^8 + 75980896/w^6 + 100515184/w^4 + 117152128/w^2 +
   117152128*w^2 + 100515184*w^4 + 75980896*w^6 + 48512928*w^8 +
   24308704*w^10 + 8473104*w^12 + 1645120*w^14 + 107844*w^16 + 2/z^64 +
   32/(w^2*z^56) + (32*w^2)/z^56 + 128/z^52 + 504/z^48 + 240/(w^4*z^48) +
   192/(w^2*z^48) + (192*w^2)/z^48 + (240*w^4)/z^48 + 1344/z^44 +
   128/(w^4*z^44) + 2176/(w^2*z^44) + (2176*w^2)/z^44 + (128*w^4)/z^44 +
   11744/z^40 + 1152/(w^6*z^40) + 3584/(w^4*z^40) + 7200/(w^2*z^40) +
   (7200*w^2)/z^40 + (3584*w^4)/z^40 + (1152*w^6)/z^40 + 48256/z^36 +
   2624/(w^6*z^36) + 19936/(w^4*z^36) + 36160/(w^2*z^36) + (36160*w^2)/z^36 +
   (19936*w^4)/z^36 + (2624*w^6)/z^36 + 194136/z^32 + 4352/(w^8*z^32) +
   28192/(w^6*z^32) + 79392/(w^4*z^32) + 169952/(w^2*z^32) +
   (169952*w^2)/z^32 + (79392*w^4)/z^32 + (28192*w^6)/z^32 +
   (4352*w^8)/z^32 + 785408/z^28 + 19456/(w^8*z^28) + 127040/(w^6*z^28) +
   367648/(w^4*z^28) + 632128/(w^2*z^28) + (632128*w^2)/z^28 +
   (367648*w^4)/z^28 + (127040*w^6)/z^28 + (19456*w^8)/z^28 + 2725184/z^24 +
   13888/(w^10*z^24) + 134928/(w^8*z^24) + 543552/(w^6*z^24) +
   1380672/(w^4*z^24) + 2318304/(w^2*z^24) + (2318304*w^2)/z^24 +
   (1380672*w^4)/z^24 + (543552*w^6)/z^24 + (134928*w^8)/z^24 +
   (13888*w^10)/z^24 + 8603776/z^20 + 80896/(w^10*z^20) + 583712/(w^8*z^20) +
   2103424/(w^6*z^20) + 4688960/(w^4*z^20) + 7435776/(w^2*z^20) +
   (7435776*w^2)/z^20 + (4688960*w^4)/z^20 + (2103424*w^6)/z^20 +
   (583712*w^8)/z^20 + (80896*w^10)/z^20 + 23416808/z^16 +
   35984/(w^12*z^16) + 452256/(w^10*z^16) + 2290416/(w^8*z^16) +
   6788640/(w^6*z^16) + 13825792/(w^4*z^16) + 20544640/(w^2*z^16) +
   (20544640*w^2)/z^16 + (13825792*w^4)/z^16 + (6788640*w^6)/z^16 +
   (2290416*w^8)/z^16 + (452256*w^10)/z^16 + (35984*w^12)/z^16 +
   51889408/z^12 + 222432/(w^12*z^12) + 1821440/(w^10*z^12) +
   7247616/(w^8*z^12) + 18366144/(w^6*z^12) + 33342880/(w^4*z^12) +
   46639936/(w^2*z^12) + (46639936*w^2)/z^12 + (33342880*w^4)/z^12 +
   (18366144*w^6)/z^12 + (7247616*w^8)/z^12 + (1821440*w^10)/z^12 +
   (222432*w^12)/z^12 + 90779328/z^8 + 72096/(w^14*z^8) +
   1065536/(w^12*z^8) + 5822592/(w^10*z^8) + 18195200/(w^8*z^8) +
   38969344/(w^6*z^8) + 63422848/(w^4*z^8) + 83160000/(w^2*z^8) +
   (83160000*w^2)/z^8 + (63422848*w^4)/z^8 + (38969344*w^6)/z^8 +
   (18195200*w^8)/z^8 + (5822592*w^10)/z^8 + (1065536*w^12)/z^8 +
   (72096*w^14)/z^8 + 121676160/z^4 + 423232/(w^14*z^4) +
   3553600/(w^12*z^4) + 13940416/(w^10*z^4) + 34568192/(w^8*z^4) +
   63041408/(w^6*z^4) + 92187584/(w^4*z^4) + 113782656/(w^2*z^4) +
   (113782656*w^2)/z^4 + (92187584*w^4)/z^4 + (63041408*w^6)/z^4 +
   (34568192*w^8)/z^4 + (13940416*w^10)/z^4 + (3553600*w^12)/z^4 +
   (423232*w^14)/z^4 + 92697920*z^4 + (542368*z^4)/w^16 +
   (4115904*z^4)/w^14 + (13996768*z^4)/w^12 + (30234176*z^4)/w^10 +
   (49227776*z^4)/w^8 + (67065344*z^4)/w^6 + (81031584*z^4)/w^4 +
   (89772288*z^4)/w^2 + 89772288*w^2*z^4 + 81031584*w^4*z^4 +
   67065344*w^6*z^4 + 49227776*w^8*z^4 + 30234176*w^10*z^4 +
   13996768*w^12*z^4 + 4115904*w^14*z^4 + 542368*w^16*z^4 + 52558144*z^8 +
   (115968*z^8)/w^18 + (1581536*z^8)/w^16 + (6747040*z^8)/w^14 +
   (15819744*z^8)/w^12 + (26267456*z^8)/w^10 + (35853920*z^8)/w^8 +
   (43354688*z^8)/w^6 + (48538976*z^8)/w^4 + (51538880*z^8)/w^2 +
   51538880*w^2*z^8 + 48538976*w^4*z^8 + 43354688*w^6*z^8 +
   35853920*w^8*z^8 + 26267456*w^10*z^8 + 15819744*w^12*z^8 +
   6747040*w^14*z^8 + 1581536*w^16*z^8 + 115968*w^18*z^8 + 22500096*z^12 +
   (452480*z^12)/w^18 + (2735872*z^12)/w^16 + (7147776*z^12)/w^14 +
   (12011584*z^12)/w^12 + (16099712*z^12)/w^10 + (18930880*z^12)/w^8 +
   (20750144*z^12)/w^6 + (21829248*z^12)/w^4 + (22377408*z^12)/w^2 +
   22377408*w^2*z^12 + 21829248*w^4*z^12 + 20750144*w^6*z^12 +
   18930880*w^8*z^12 + 16099712*w^10*z^12 + 12011584*w^12*z^12 +
   7147776*w^14*z^12 + 2735872*w^16*z^12 + 452480*w^18*z^12 + 7527512*z^16 +
   (86736*z^16)/w^20 + (917568*z^16)/w^18 + (2852184*z^16)/w^16 +
   (4860096*z^16)/w^14 + (6274272*z^16)/w^12 + (7006432*z^16)/w^10 +
   (7369760*z^16)/w^8 + (7499936*z^16)/w^6 + (7513888*z^16)/w^4 +
   (7501504*z^16)/w^2 + 7501504*w^2*z^16 + 7513888*w^4*z^16 +
   7499936*w^6*z^16 + 7369760*w^8*z^16 + 7006432*w^10*z^16 +
   6274272*w^12*z^16 + 4860096*w^14*z^16 + 2852184*w^16*z^16 +
   917568*w^18*z^16 + 86736*w^20*z^16 + 2014144*z^20 + (239424*z^20)/w^20 +
   (1011712*z^20)/w^18 + (1780224*z^20)/w^16 + (2179968*z^20)/w^14 +
   (2281568*z^20)/w^12 + (2269056*z^20)/w^10 + (2193408*z^20)/w^8 +
   (2118080*z^20)/w^6 + (2072864*z^20)/w^4 + (2041280*z^20)/w^2 +
   2041280*w^2*z^20 + 2072864*w^4*z^20 + 2118080*w^6*z^20 +
   2193408*w^8*z^20 + 2269056*w^10*z^20 + 2281568*w^12*z^20 +
   2179968*w^14*z^20 + 1780224*w^16*z^20 + 1011712*w^18*z^20 +
   239424*w^20*z^20 + 488864*z^24 + (44032*z^24)/w^22 + (311680*z^24)/w^20 +
   (606624*z^24)/w^18 + (696160*z^24)/w^16 + (673984*z^24)/w^14 +
   (617472*z^24)/w^12 + (564736*z^24)/w^10 + (525696*z^24)/w^8 +
   (503040*z^24)/w^6 + (482752*z^24)/w^4 + (483328*z^24)/w^2 +
   483328*w^2*z^24 + 482752*w^4*z^24 + 503040*w^6*z^24 + 525696*w^8*z^24 +
   564736*w^10*z^24 + 617472*w^12*z^24 + 673984*w^14*z^24 +
   696160*w^16*z^24 + 606624*w^18*z^24 + 311680*w^20*z^24 + 44032*w^22*z^24 +
   100224*z^28 + (78144*z^28)/w^22 + (196608*z^28)/w^20 +
   (206784*z^28)/w^18 + (181824*z^28)/w^16 + (150272*z^28)/w^14 +
   (133312*z^28)/w^12 + (116736*z^28)/w^10 + (109312*z^28)/w^8 +
   (104768*z^28)/w^6 + (108640*z^28)/w^4 + (102464*z^28)/w^2 +
   102464*w^2*z^28 + 108640*w^4*z^28 + 104768*w^6*z^28 + 109312*w^8*z^28 +
   116736*w^10*z^28 + 133312*w^12*z^28 + 150272*w^14*z^28 +
   181824*w^16*z^28 + 206784*w^18*z^28 + 196608*w^20*z^28 + 78144*w^22*z^28 +
   20712*z^32 + (14848*z^32)/w^24 + (58816*z^32)/w^22 + (59008*z^32)/w^20 +
   (46912*z^32)/w^18 + (34456*z^32)/w^16 + (28800*z^32)/w^14 +
   (22128*z^32)/w^12 + (21728*z^32)/w^10 + (21472*z^32)/w^8 +
   (21504*z^32)/w^6 + (18544*z^32)/w^4 + (20384*z^32)/w^2 + 20384*w^2*z^32 +
   18544*w^4*z^32 + 21504*w^6*z^32 + 21472*w^8*z^32 + 21728*w^10*z^32 +
   22128*w^12*z^32 + 28800*w^14*z^32 + 34456*w^16*z^32 + 46912*w^18*z^32 +
   59008*w^20*z^32 + 58816*w^22*z^32 + 14848*w^24*z^32 + 3136*z^36 +
   (15008*z^36)/w^24 + (17792*z^36)/w^22 + (11264*z^36)/w^20 +
   (6784*z^36)/w^18 + (5024*z^36)/w^16 + (3904*z^36)/w^14 +
   (4256*z^36)/w^12 + (3776*z^36)/w^10 + (3168*z^36)/w^8 + (3136*z^36)/w^6 +
   (3776*z^36)/w^4 + (3392*z^36)/w^2 + 3392*w^2*z^36 + 3776*w^4*z^36 +
   3136*w^6*z^36 + 3168*w^8*z^36 + 3776*w^10*z^36 + 4256*w^12*z^36 +
   3904*w^14*z^36 + 5024*w^16*z^36 + 6784*w^18*z^36 + 11264*w^20*z^36 +
   17792*w^22*z^36 + 15008*w^24*z^36 + 640*z^40 + (3232*z^40)/w^26 +
   (5520*z^40)/w^24 + (2272*z^40)/w^22 + (1344*z^40)/w^20 + (960*z^40)/w^18 +
   (800*z^40)/w^16 + (544*z^40)/w^14 + (416*z^40)/w^12 + (416*z^40)/w^10 +
   (640*z^40)/w^8 + (480*z^40)/w^6 + (416*z^40)/w^4 + (448*z^40)/w^2 +
   448*w^2*z^40 + 416*w^4*z^40 + 480*w^6*z^40 + 640*w^8*z^40 +
   416*w^10*z^40 + 416*w^12*z^40 + 544*w^14*z^40 + 800*w^16*z^40 +
   960*w^18*z^40 + 1344*w^20*z^40 + 2272*w^22*z^40 + 5520*w^24*z^40 +
   3232*w^26*z^40 + (1536*z^44)/w^26 + (544*z^44)/w^24 + (320*z^44)/w^22 +
   (128*z^44)/w^20 + (64*z^44)/w^18 + (64*z^44)/w^14 + (64*z^44)/w^12 +
   (64*z^44)/w^10 + (64*z^44)/w^6 + (64*z^44)/w^4 + (64*z^44)/w^2 +
   64*w^2*z^44 + 64*w^4*z^44 + 64*w^6*z^44 + 64*w^10*z^44 + 64*w^12*z^44 +
   64*w^14*z^44 + 64*w^18*z^44 + 128*w^20*z^44 + 320*w^22*z^44 +
   544*w^24*z^44 + 1536*w^26*z^44 + 8*z^48 + (432*z^48)/w^28 +
   (192*z^48)/w^26 + (40*z^48)/w^24 + (8*z^48)/w^16 + (8*z^48)/w^8 +
   8*w^8*z^48 + 8*w^16*z^48 + 40*w^24*z^48 + 192*w^26*z^48 + 432*w^28*z^48 +
   (64*z^52)/w^28 + 64*w^28*z^52 + (32*z^56)/w^30 + 32*w^30*z^56 +
   z^64/w^32 + w^32*z^64, 1745193170 + 520176/w^18 + 9517896/w^16 +
   57167460/w^14 + 190941594/w^12 + 436383576/w^10 + 770668704/w^8 +
   1133108808/w^6 + 1452378294/w^4 + 1668893184/w^2 + 1668893184*w^2 +
   1452378294*w^4 + 1133108808*w^6 + 770668704*w^8 + 436383576*w^10 +
   190941594*w^12 + 57167460*w^14 + 9517896*w^16 + 520176*w^18 + 18/z^64 +
   72/z^60 + 72/(w^2*z^60) + (72*w^2)/z^60 + 360/z^56 + 54/(w^4*z^56) +
   396/(w^2*z^56) + (396*w^2)/z^56 + (54*w^4)/z^56 + 3456/z^52 +
   1116/(w^4*z^52) + 1656/(w^2*z^52) + (1656*w^2)/z^52 + (1116*w^4)/z^52 +
   13092/z^48 + 792/(w^6*z^48) + 4194/(w^4*z^48) + 11304/(w^2*z^48) +
   (11304*w^2)/z^48 + (4194*w^4)/z^48 + (792*w^6)/z^48 + 64800/z^44 +
   8280/(w^6*z^44) + 24156/(w^4*z^44) + 55512/(w^2*z^44) + (55512*w^2)/z^44 +
   (24156*w^4)/z^44 + (8280*w^6)/z^44 + 311328/z^40 + 5454/(w^8*z^40) +
   33732/(w^6*z^40) + 134748/(w^4*z^40) + 234288/(w^2*z^40) +
   (234288*w^2)/z^40 + (134748*w^4)/z^40 + (33732*w^6)/z^40 +
   (5454*w^8)/z^40 + 1243896/z^36 + 41688/(w^8*z^36) + 210696/(w^6*z^36) +
   577584/(w^4*z^36) + 1061496/(w^2*z^36) + (1061496*w^2)/z^36 +
   (577584*w^4)/z^36 + (210696*w^6)/z^36 + (41688*w^8)/z^36 + 4906332/z^32 +
   23868/(w^10*z^32) + 210132/(w^8*z^32) + 986688/(w^6*z^32) +
   2455452/(w^4*z^32) + 4142484/(w^2*z^32) + (4142484*w^2)/z^32 +
   (2455452*w^4)/z^32 + (986688*w^6)/z^32 + (210132*w^8)/z^32 +
   (23868*w^10)/z^32 + 17555148/z^28 + 166176/(w^10*z^28) +
   1176732/(w^8*z^28) + 4075992/(w^6*z^28) + 9445464/(w^4*z^28) +
   15004188/(w^2*z^28) + (15004188*w^2)/z^28 + (9445464*w^4)/z^28 +
   (4075992*w^6)/z^28 + (1176732*w^8)/z^28 + (166176*w^10)/z^28 +
   56711820/z^24 + 76014/(w^12*z^24) + 928908/(w^10*z^24) +
   4991382/(w^8*z^24) + 15512784/(w^6*z^24) + 32374692/(w^4*z^24) +
   49561020/(w^2*z^24) + (49561020*w^2)/z^24 + (32374692*w^4)/z^24 +
   (15512784*w^6)/z^24 + (4991382*w^8)/z^24 + (928908*w^10)/z^24 +
   (76014*w^12)/z^24 + 163147968/z^20 + 527472/(w^12*z^20) +
   4531680/(w^10*z^20) + 18905220/(w^8*z^20) + 51262704/(w^6*z^20) +
   99106308/(w^4*z^20) + 144228744/(w^2*z^20) + (144228744*w^2)/z^20 +
   (99106308*w^4)/z^20 + (51262704*w^6)/z^20 + (18905220*w^8)/z^20 +
   (4531680*w^10)/z^20 + (527472*w^12)/z^20 + 401255100/z^16 +
   186516/(w^14*z^16) + 2885670/(w^12*z^16) + 17417340/(w^10*z^16) +
   61180092/(w^8*z^16) + 146039580/(w^6*z^16) + 259763652/(w^4*z^16) +
   360699048/(w^2*z^16) + (360699048*w^2)/z^16 + (259763652*w^4)/z^16 +
   (146039580*w^6)/z^16 + (61180092*w^8)/z^16 + (17417340*w^10)/z^16 +
   (2885670*w^12)/z^16 + (186516*w^14)/z^16 + 817315728/z^12 +
   1279224/(w^14*z^12) + 12241380/(w^12*z^12) + 56078316/(w^10*z^12) +
   163758276/(w^8*z^12) + 345653628/(w^6*z^12) + 564724872/(w^4*z^12) +
   746602056/(w^2*z^12) + (746602056*w^2)/z^12 + (564724872*w^4)/z^12 +
   (345653628*w^6)/z^12 + (163758276*w^8)/z^12 + (56078316*w^10)/z^12 +
   (12241380*w^12)/z^12 + (1279224*w^14)/z^12 + 1339273368/z^8 +
   355878/(w^16*z^8) + 6321024/(w^14*z^8) + 39976686/(w^12*z^8) +
   143716032/(w^10*z^8) + 353494152/(w^8*z^8) + 658032840/(w^6*z^8) +
   988019478/(w^4*z^8) + 1243218744/(w^2*z^8) + (1243218744*w^2)/z^8 +
   (988019478*w^4)/z^8 + (658032840*w^6)/z^8 + (353494152*w^8)/z^8 +
   (143716032*w^10)/z^8 + (39976686*w^12)/z^8 + (6321024*w^14)/z^8 +
   (355878*w^16)/z^8 + 1731419712/z^4 + 2288772/(w^16*z^4) +
   22325004/(w^14*z^4) + 100823256/(w^12*z^4) + 287419140/(w^10*z^4) +
   596252700/(w^8*z^4) + 982625436/(w^6*z^4) + 1359289224/(w^4*z^4) +
   1632092724/(w^2*z^4) + (1632092724*w^2)/z^4 + (1359289224*w^4)/z^4 +
   (982625436*w^6)/z^4 + (596252700*w^8)/z^4 + (287419140*w^10)/z^4 +
   (100823256*w^12)/z^4 + (22325004*w^14)/z^4 + (2288772*w^16)/z^4 +
   1363570200*z^4 + (2917620*z^4)/w^18 + (26253648*z^4)/w^16 +
   (105743376*z^4)/w^14 + (266229972*z^4)/w^12 + (495885168*z^4)/w^10 +
   (755204148*z^4)/w^8 + (999952632*z^4)/w^6 + (1195739100*z^4)/w^4 +
   (1320671124*z^4)/w^2 + 1320671124*w^2*z^4 + 1195739100*w^4*z^4 +
   999952632*w^6*z^4 + 755204148*w^8*z^4 + 495885168*w^10*z^4 +
   266229972*w^12*z^4 + 105743376*w^14*z^4 + 26253648*w^16*z^4 +
   2917620*w^18*z^4 + 827028720*z^8 + (567450*z^8)/w^20 +
   (9539424*z^8)/w^18 + (49304484*z^8)/w^16 + (138735828*z^8)/w^14 +
   (270247032*z^8)/w^12 + (418365612*z^8)/w^10 + (558230040*z^8)/w^8 +
   (674178156*z^8)/w^6 + (758872521*z^8)/w^4 + (810067536*z^8)/w^2 +
   810067536*w^2*z^8 + 758872521*w^4*z^8 + 674178156*w^6*z^8 +
   558230040*w^8*z^8 + 418365612*w^10*z^8 + 270247032*w^12*z^8 +
   138735828*w^14*z^8 + 49304484*w^16*z^8 + 9539424*w^18*z^8 +
   567450*w^20*z^8 + 393578304*z^12 + (2571264*z^12)/w^20 +
   (19324296*z^12)/w^18 + (62841204*z^12)/w^16 + (128125008*z^12)/w^14 +
   (199059072*z^12)/w^12 + (262627200*z^12)/w^10 + (313247844*z^12)/w^8 +
   (350303568*z^12)/w^6 + (375101028*z^12)/w^4 + (389026656*z^12)/w^2 +
   389026656*w^2*z^12 + 375101028*w^4*z^12 + 350303568*w^6*z^12 +
   313247844*w^8*z^12 + 262627200*w^10*z^12 + 199059072*w^12*z^12 +
   128125008*w^14*z^12 + 62841204*w^16*z^12 + 19324296*w^18*z^12 +
   2571264*w^20*z^12 + 149334876*z^16 + (450144*z^16)/w^22 +
   (6210378*z^16)/w^20 + (24971940*z^16)/w^18 + (54023148*z^16)/w^16 +
   (83518884*z^16)/w^14 + (107380260*z^16)/w^12 + (124341156*z^16)/w^10 +
   (135588312*z^16)/w^8 + (142573932*z^16)/w^6 + (146598912*z^16)/w^4 +
   (148702320*z^16)/w^2 + 148702320*w^2*z^16 + 146598912*w^4*z^16 +
   142573932*w^6*z^16 + 135588312*w^8*z^16 + 124341156*w^10*z^16 +
   107380260*w^12*z^16 + 83518884*w^14*z^16 + 54023148*w^16*z^16 +
   24971940*w^18*z^16 + 6210378*w^20*z^16 + 450144*w^22*z^16 +
   46767816*z^20 + (1531440*z^20)/w^22 + (8679852*z^20)/w^20 +
   (20596320*z^20)/w^18 + (31594680*z^20)/w^16 + (39166992*z^20)/w^14 +
   (43355520*z^20)/w^12 + (45464076*z^20)/w^10 + (46315188*z^20)/w^8 +
   (46606500*z^20)/w^6 + (46674792*z^20)/w^4 + (46756800*z^20)/w^2 +
   46756800*w^2*z^20 + 46674792*w^4*z^20 + 46606500*w^6*z^20 +
   46315188*w^8*z^20 + 45464076*w^10*z^20 + 43355520*w^12*z^20 +
   39166992*w^14*z^20 + 31594680*w^16*z^20 + 20596320*w^18*z^20 +
   8679852*w^20*z^20 + 1531440*w^22*z^20 + 12561516*z^24 +
   (254310*z^24)/w^24 + (2566944*z^24)/w^22 + (7187940*z^24)/w^20 +
   (11001048*z^24)/w^18 + (13004010*z^24)/w^16 + (13550832*z^24)/w^14 +
   (13574316*z^24)/w^12 + (13298184*z^24)/w^10 + (13012884*z^24)/w^8 +
   (12786828*z^24)/w^6 + (12698784*z^24)/w^4 + (12578040*z^24)/w^2 +
   12578040*w^2*z^24 + 12698784*w^4*z^24 + 12786828*w^6*z^24 +
   13012884*w^8*z^24 + 13298184*w^10*z^24 + 13574316*w^12*z^24 +
   13550832*w^14*z^24 + 13004010*w^16*z^24 + 11001048*w^18*z^24 +
   7187940*w^20*z^24 + 2566944*w^22*z^24 + 254310*w^24*z^24 + 3044376*z^28 +
   (603504*z^28)/w^24 + (2298672*z^28)/w^22 + (3579768*z^28)/w^20 +
   (3986928*z^28)/w^18 + (3877308*z^28)/w^16 + (3691980*z^28)/w^14 +
   (3438288*z^28)/w^12 + (3260628*z^28)/w^10 + (3157164*z^28)/w^8 +
   (3102804*z^28)/w^6 + (3038184*z^28)/w^4 + (3048588*z^28)/w^2 +
   3048588*w^2*z^28 + 3038184*w^4*z^28 + 3102804*w^6*z^28 +
   3157164*w^8*z^28 + 3260628*w^10*z^28 + 3438288*w^12*z^28 +
   3691980*w^14*z^28 + 3877308*w^16*z^28 + 3986928*w^18*z^28 +
   3579768*w^20*z^28 + 2298672*w^22*z^28 + 603504*w^24*z^28 + 662976*z^32 +
   (100512*z^32)/w^26 + (652428*z^32)/w^24 + (1112040*z^32)/w^22 +
   (1153872*z^32)/w^20 + (1038492*z^32)/w^18 + (915696*z^32)/w^16 +
   (805752*z^32)/w^14 + (744102*z^32)/w^12 + (712620*z^32)/w^10 +
   (684720*z^32)/w^8 + (679536*z^32)/w^6 + (685566*z^32)/w^4 +
   (673056*z^32)/w^2 + 673056*w^2*z^32 + 685566*w^4*z^32 + 679536*w^6*z^32 +
   684720*w^8*z^32 + 712620*w^10*z^32 + 744102*w^12*z^32 + 805752*w^14*z^32 +
   915696*w^16*z^32 + 1038492*w^18*z^32 + 1153872*w^20*z^32 +
   1112040*w^22*z^32 + 652428*w^24*z^32 + 100512*w^26*z^32 + 143284*z^36 +
   (152856*z^36)/w^26 + (337416*z^36)/w^24 + (316296*z^36)/w^22 +
   (258624*z^36)/w^20 + (205348*z^36)/w^18 + (177120*z^36)/w^16 +
   (155232*z^36)/w^14 + (145836*z^36)/w^12 + (138096*z^36)/w^10 +
   (144216*z^36)/w^8 + (136368*z^36)/w^6 + (133452*z^36)/w^4 +
   (134784*z^36)/w^2 + 134784*w^2*z^36 + 133452*w^4*z^36 + 136368*w^6*z^36 +
   144216*w^8*z^36 + 138096*w^10*z^36 + 145836*w^12*z^36 + 155232*w^14*z^36 +
   177120*w^16*z^36 + 205348*w^18*z^36 + 258624*w^20*z^36 +
   316296*w^22*z^36 + 337416*w^24*z^36 + 152856*w^26*z^36 + 22716*z^40 +
   (27234*z^40)/w^28 + (96336*z^40)/w^26 + (84006*z^40)/w^24 +
   (62784*z^40)/w^22 + (44343*z^40)/w^20 + (36576*z^40)/w^18 +
   (27324*z^40)/w^16 + (27108*z^40)/w^14 + (26649*z^40)/w^12 +
   (27648*z^40)/w^10 + (23004*z^40)/w^8 + (25596*z^40)/w^6 +
   (25938*z^40)/w^4 + (26352*z^40)/w^2 + 26352*w^2*z^40 + 25938*w^4*z^40 +
   25596*w^6*z^40 + 23004*w^8*z^40 + 27648*w^10*z^40 + 26649*w^12*z^40 +
   27108*w^14*z^40 + 27324*w^16*z^40 + 36576*w^18*z^40 + 44343*w^20*z^40 +
   62784*w^22*z^40 + 84006*w^24*z^40 + 96336*w^26*z^40 + 27234*w^28*z^40 +
   4608*z^44 + (23652*z^44)/w^28 + (24192*z^44)/w^26 + (14472*z^44)/w^24 +
   (8208*z^44)/w^22 + (5940*z^44)/w^20 + (4392*z^44)/w^18 +
   (5148*z^44)/w^16 + (4536*z^44)/w^14 + (3852*z^44)/w^12 +
   (3528*z^44)/w^10 + (4608*z^44)/w^8 + (4104*z^44)/w^6 + (3816*z^44)/w^4 +
   (3816*z^44)/w^2 + 3816*w^2*z^44 + 3816*w^4*z^44 + 4104*w^6*z^44 +
   4608*w^8*z^44 + 3528*w^10*z^44 + 3852*w^12*z^44 + 4536*w^14*z^44 +
   5148*w^16*z^44 + 4392*w^18*z^44 + 5940*w^20*z^44 + 8208*w^22*z^44 +
   14472*w^24*z^44 + 24192*w^26*z^44 + 23652*w^28*z^44 + 468*z^48 +
   (4908*z^48)/w^30 + (7362*z^48)/w^28 + (2736*z^48)/w^26 +
   (1512*z^48)/w^24 + (1080*z^48)/w^22 + (900*z^48)/w^20 + (648*z^48)/w^18 +
   (468*z^48)/w^16 + (468*z^48)/w^14 + (720*z^48)/w^12 + (576*z^48)/w^10 +
   (468*z^48)/w^8 + (504*z^48)/w^6 + (720*z^48)/w^4 + (540*z^48)/w^2 +
   540*w^2*z^48 + 720*w^4*z^48 + 504*w^6*z^48 + 468*w^8*z^48 +
   576*w^10*z^48 + 720*w^12*z^48 + 468*w^14*z^48 + 468*w^16*z^48 +
   648*w^18*z^48 + 900*w^20*z^48 + 1080*w^22*z^48 + 1512*w^24*z^48 +
   2736*w^26*z^48 + 7362*w^28*z^48 + 4908*w^30*z^48 + 72*z^52 +
   (2016*z^52)/w^30 + (612*z^52)/w^28 + (360*z^52)/w^26 + (144*z^52)/w^24 +
   (72*z^52)/w^22 + (72*z^52)/w^18 + (72*z^52)/w^16 + (72*z^52)/w^14 +
   (72*z^52)/w^10 + (72*z^52)/w^8 + (72*z^52)/w^6 + (72*z^52)/w^2 +
   72*w^2*z^52 + 72*w^6*z^52 + 72*w^8*z^52 + 72*w^10*z^52 + 72*w^14*z^52 +
   72*w^16*z^52 + 72*w^18*z^52 + 72*w^22*z^52 + 144*w^24*z^52 +
   360*w^26*z^52 + 612*w^28*z^52 + 2016*w^30*z^52 + (558*z^56)/w^32 +
   (216*z^56)/w^30 + (45*z^56)/w^28 + (9*z^56)/w^20 + (9*z^56)/w^12 +
   (9*z^56)/w^4 + 9*w^4*z^56 + 9*w^12*z^56 + 9*w^20*z^56 + 45*w^28*z^56 +
   216*w^30*z^56 + 558*w^32*z^56 + (72*z^60)/w^32 + 72*w^32*z^60 +
   (36*z^64)/w^34 + 36*w^34*z^64 + z^72/w^36 + w^36*z^72,
  25092348036 + 2525296/w^20 + 54584120/w^18 + 377445480/w^16 +
   1441730760/w^14 + 3742832380/w^12 + 7413364896/w^10 + 12068832360/w^8 +
   16953070240/w^6 + 21203467820/w^4 + 24077402880/w^2 + 24077402880*w^2 +
   21203467820*w^4 + 16953070240*w^6 + 12068832360*w^8 + 7413364896*w^10 +
   3742832380*w^12 + 1441730760*w^14 + 377445480*w^16 + 54584120*w^18 +
   2525296*w^20 + 2/z^80 + 40/(w^2*z^72) + (40*w^2)/z^72 + 160/z^68 +
   810/z^64 + 380/(w^4*z^64) + 240/(w^2*z^64) + (240*w^2)/z^64 +
   (380*w^4)/z^64 + 1840/z^60 + 160/(w^4*z^60) + 3520/(w^2*z^60) +
   (3520*w^2)/z^60 + (160*w^4)/z^60 + 19640/z^56 + 2320/(w^6*z^56) +
   5880/(w^4*z^56) + 12960/(w^2*z^56) + (12960*w^2)/z^56 + (5880*w^4)/z^56 +
   (2320*w^6)/z^56 + 96000/z^52 + 4400/(w^6*z^52) + 40680/(w^4*z^52) +
   64720/(w^2*z^52) + (64720*w^2)/z^52 + (40680*w^4)/z^52 + (4400*w^6)/z^52 +
   408420/z^48 + 10920/(w^8*z^48) + 61880/(w^6*z^48) + 169220/(w^4*z^48) +
   375640/(w^2*z^48) + (375640*w^2)/z^48 + (169220*w^4)/z^48 +
   (61880*w^6)/z^48 + (10920*w^8)/z^48 + 1954240/z^44 + 45200/(w^8*z^44) +
   326320/(w^6*z^44) + 904120/(w^4*z^44) + 1573200/(w^2*z^44) +
   (1573200*w^2)/z^44 + (904120*w^4)/z^44 + (326320*w^6)/z^44 +
   (45200*w^8)/z^44 + 8081932/z^40 + 43648/(w^10*z^40) + 399700/(w^8*z^40) +
   1549760/(w^6*z^40) + 4087360/(w^4*z^40) + 6767040/(w^2*z^40) +
   (6767040*w^2)/z^40 + (4087360*w^4)/z^40 + (1549760*w^6)/z^40 +
   (399700*w^8)/z^40 + (43648*w^10)/z^40 + 31225680/z^36 +
   265760/(w^10*z^36) + 2003000/(w^8*z^36) + 7375760/(w^6*z^36) +
   16605200/(w^4*z^36) + 27052960/(w^2*z^36) + (27052960*w^2)/z^36 +
   (16605200*w^4)/z^36 + (7375760*w^6)/z^36 + (2003000*w^8)/z^36 +
   (265760*w^10)/z^36 + 113597220/z^32 + 148900/(w^12*z^32) +
   1865400/(w^10*z^32) + 9605760/(w^8*z^32) + 30067880/(w^6*z^32) +
   64165540/(w^4*z^32) + 98254800/(w^2*z^32) + (98254800*w^2)/z^32 +
   (64165540*w^4)/z^32 + (30067880*w^6)/z^32 + (9605760*w^8)/z^32 +
   (1865400*w^10)/z^32 + (148900*w^12)/z^32 + 375320880/z^28 +
   1066120/(w^12*z^28) + 9307040/(w^10*z^28) + 40737360/(w^8*z^28) +
   112809040/(w^6*z^28) + 223102000/(w^4*z^28) + 330442080/(w^2*z^28) +
   (330442080*w^2)/z^28 + (223102000*w^4)/z^28 + (112809040*w^6)/z^28 +
   (40737360*w^8)/z^28 + (9307040*w^10)/z^28 + (1066120*w^12)/z^28 +
   1122920660/z^24 + 420680/(w^14*z^24) + 6673880/(w^12*z^24) +
   41513680/(w^10*z^24) + 151299580/(w^8*z^24) + 379532680/(w^6*z^24) +
   701415260/(w^4*z^24) + 1000275760/(w^2*z^24) + (1000275760*w^2)/z^24 +
   (701415260*w^4)/z^24 + (379532680*w^6)/z^24 + (151299580*w^8)/z^24 +
   (41513680*w^10)/z^24 + (6673880*w^12)/z^24 + (420680*w^14)/z^24 +
   2965086256/z^20 + 3171680/(w^14*z^20) + 31859680/(w^12*z^20) +
   157147376/(w^10*z^20) + 496235480/(w^8*z^20) + 1124160000/(w^6*z^20) +
   1948172520/(w^4*z^20) + 2673019120/(w^2*z^20) + (2673019120*w^2)/z^20 +
   (1948172520*w^4)/z^20 + (1124160000*w^6)/z^20 + (496235480*w^8)/z^20 +
   (157147376*w^10)/z^20 + (31859680*w^12)/z^20 + (3171680*w^14)/z^20 +
   6721653850/z^16 + 963040/(w^16*z^16) + 18229400/(w^14*z^16) +
   126817420/(w^12*z^16) + 508181720/(w^10*z^16) + 1396727320/(w^8*z^16) +
   2870545360/(w^6*z^16) + 4650469680/(w^4*z^16) + 6139624560/(w^2*z^16) +
   (6139624560*w^2)/z^16 + (4650469680*w^4)/z^16 + (2870545360*w^6)/z^16 +
   (1396727320*w^8)/z^16 + (508181720*w^10)/z^16 + (126817420*w^12)/z^16 +
   (18229400*w^14)/z^16 + (963040*w^16)/z^16 + 12753027520/z^12 +
   7182920/(w^16*z^12) + 78903360/(w^14*z^12) + 413047040/(w^12*z^12) +
   1375214160/(w^10*z^12) + 3297610680/(w^8*z^12) + 6139073280/(w^6*z^12) +
   9298653080/(w^4*z^12) + 11800078000/(w^2*z^12) + (11800078000*w^2)/z^12 +
   (9298653080*w^4)/z^12 + (6139073280*w^6)/z^12 + (3297610680*w^8)/z^12 +
   (1375214160*w^10)/z^12 + (413047040*w^12)/z^12 + (78903360*w^14)/z^12 +
   (7182920*w^16)/z^12 + 19842671800/z^8 + 1760040/(w^18*z^8) +
   37110500/(w^16*z^8) + 267880840/(w^14*z^8) + 1092224900/(w^12*z^8) +
   3034790360/(w^10*z^8) + 6368173440/(w^8*z^8) + 10752670400/(w^6*z^8) +
   15234216500/(w^4*z^8) + 18594973200/(w^2*z^8) + (18594973200*w^2)/z^8 +
   (15234216500*w^4)/z^8 + (10752670400*w^6)/z^8 + (6368173440*w^8)/z^8 +
   (3034790360*w^10)/z^8 + (1092224900*w^12)/z^8 + (267880840*w^14)/z^8 +
   (37110500*w^16)/z^8 + (1760040*w^18)/z^8 + 24937172480/z^4 +
   12309520/(w^18*z^4) + 137574040/(w^16*z^4) + 708571680/(w^14*z^4) +
   2289847440/(w^12*z^4) + 5353326080/(w^10*z^4) + 9861816160/(w^8*z^4) +
   15146005120/(w^6*z^4) + 20120507040/(w^4*z^4) + 23659272560/(w^2*z^4) +
   (23659272560*w^2)/z^4 + (20120507040*w^4)/z^4 + (15146005120*w^6)/z^4 +
   (9861816160*w^8)/z^4 + (5353326080*w^10)/z^4 + (2289847440*w^12)/z^4 +
   (708571680*w^14)/z^4 + (137574040*w^16)/z^4 + (12309520*w^18)/z^4 +
   20136689120*z^4 + (15623520*z^4)/w^20 + (163831600*z^4)/w^18 +
   (765889080*z^4)/w^16 + (2223179760*z^4)/w^14 + (4697230200*z^4)/w^12 +
   (7974208880*z^4)/w^10 + (11583762240*z^4)/w^8 + (14993279440*z^4)/w^6 +
   (17747481320*z^4)/w^4 + (19524985280*z^4)/w^2 + 19524985280*w^2*z^4 +
   17747481320*w^4*z^4 + 14993279440*w^6*z^4 + 11583762240*w^8*z^4 +
   7974208880*w^10*z^4 + 4697230200*w^12*z^4 + 2223179760*w^14*z^4 +
   765889080*w^16*z^4 + 163831600*w^18*z^4 + 15623520*w^20*z^4 +
   12907117680*z^8 + (2785960*z^8)/w^22 + (56382420*z^8)/w^20 +
   (344497960*z^8)/w^18 + (1140141320*z^8)/w^16 + (2567681400*z^8)/w^14 +
   (4495173720*z^8)/w^12 + (6637770520*z^8)/w^10 + (8702608840*z^8)/w^8 +
   (10470697640*z^8)/w^6 + (11805196100*z^8)/w^4 + (12628641360*z^8)/w^2 +
   12628641360*w^2*z^8 + 11805196100*w^4*z^8 + 10470697640*w^6*z^8 +
   8702608840*w^8*z^8 + 6637770520*w^10*z^8 + 4495173720*w^12*z^8 +
   2567681400*w^14*z^8 + 1140141320*w^16*z^8 + 344497960*w^18*z^8 +
   56382420*w^20*z^8 + 2785960*w^22*z^8 + 6654347520*z^12 +
   (14347840*z^12)/w^22 + (130053280*z^12)/w^20 + (509837440*z^12)/w^18 +
   (1234111840*z^12)/w^16 + (2213848400*z^12)/w^14 + (3279662240*z^12)/w^12 +
   (4283630560*z^12)/w^10 + (5139726880*z^12)/w^8 + (5809428560*z^12)/w^6 +
   (6282279480*z^12)/w^4 + (6562176000*z^12)/w^2 + 6562176000*w^2*z^12 +
   6282279480*w^4*z^12 + 5809428560*w^6*z^12 + 5139726880*w^8*z^12 +
   4283630560*w^10*z^12 + 3279662240*w^12*z^12 + 2213848400*w^14*z^12 +
   1234111840*w^16*z^12 + 509837440*w^18*z^12 + 130053280*w^20*z^12 +
   14347840*w^22*z^12 + 2799365720*z^16 + (2314400*z^16)/w^24 +
   (40016560*z^16)/w^22 + (199299700*z^16)/w^20 + (529256600*z^16)/w^18 +
   (971469840*z^16)/w^16 + (1430357080*z^16)/w^14 + (1837226920*z^16)/w^12 +
   (2166337840*z^16)/w^10 + (2415207785*z^16)/w^8 + (2592984680*z^16)/w^6 +
   (2710602880*z^16)/w^4 + (2777628280*z^16)/w^2 + 2777628280*w^2*z^16 +
   2710602880*w^4*z^16 + 2592984680*w^6*z^16 + 2415207785*w^8*z^16 +
   2166337840*w^10*z^16 + 1837226920*w^12*z^16 + 1430357080*w^14*z^16 +
   971469840*w^16*z^16 + 529256600*w^18*z^16 + 199299700*w^20*z^16 +
   40016560*w^22*z^16 + 2314400*w^24*z^16 + 982076320*z^20 +
   (9349680*z^20)/w^24 + (67449840*z^20)/w^22 + (204416648*z^20)/w^20 +
   (386290480*z^20)/w^18 + (561815040*z^20)/w^16 + (701916560*z^20)/w^14 +
   (803867360*z^20)/w^12 + (873630176*z^20)/w^10 + (919918320*z^20)/w^8 +
   (949544800*z^20)/w^6 + (968405600*z^20)/w^4 + (978666320*z^20)/w^2 +
   978666320*w^2*z^20 + 968405600*w^4*z^20 + 949544800*w^6*z^20 +
   919918320*w^8*z^20 + 873630176*w^10*z^20 + 803867360*w^12*z^20 +
   701916560*w^14*z^20 + 561815040*w^16*z^20 + 386290480*w^18*z^20 +
   204416648*w^20*z^20 + 67449840*w^22*z^20 + 9349680*w^24*z^20 +
   296733620*z^24 + (1422240*z^24)/w^26 + (19153420*z^24)/w^24 +
   (71353960*z^24)/w^22 + (141238480*z^24)/w^20 + (201964960*z^24)/w^18 +
   (243170460*z^24)/w^16 + (268024160*z^24)/w^14 + (281582780*z^24)/w^12 +
   (288425720*z^24)/w^10 + (291868760*z^24)/w^8 + (294129680*z^24)/w^6 +
   (295468340*z^24)/w^4 + (296422080*z^24)/w^2 + 296422080*w^2*z^24 +
   295468340*w^4*z^24 + 294129680*w^6*z^24 + 291868760*w^8*z^24 +
   288425720*w^10*z^24 + 281582780*w^12*z^24 + 268024160*w^14*z^24 +
   243170460*w^16*z^24 + 201964960*w^18*z^24 + 141238480*w^20*z^24 +
   71353960*w^22*z^24 + 19153420*w^24*z^24 + 1422240*w^26*z^24 +
   79527360*z^28 + (4248800*z^28)/w^26 + (22317880*z^28)/w^24 +
   (47970880*z^28)/w^22 + (67363120*z^28)/w^20 + (77690480*z^28)/w^18 +
   (81618280*z^28)/w^16 + (82288960*z^28)/w^14 + (81522240*z^28)/w^12 +
   (80737920*z^28)/w^10 + (80185840*z^28)/w^8 + (79940080*z^28)/w^6 +
   (79794880*z^28)/w^4 + (79681040*z^28)/w^2 + 79681040*w^2*z^28 +
   79794880*w^4*z^28 + 79940080*w^6*z^28 + 80185840*w^8*z^28 +
   80737920*w^10*z^28 + 81522240*w^12*z^28 + 82288960*w^14*z^28 +
   81618280*w^16*z^28 + 77690480*w^18*z^28 + 67363120*w^20*z^28 +
   47970880*w^22*z^28 + 22317880*w^24*z^28 + 4248800*w^26*z^28 +
   19577560*z^32 + (636740*z^32)/w^28 + (6046640*z^32)/w^26 +
   (15260680*z^32)/w^24 + (21171600*z^32)/w^22 + (23211720*z^32)/w^20 +
   (22910040*z^32)/w^18 + (22096010*z^32)/w^16 + (21089640*z^32)/w^14 +
   (20422360*z^32)/w^12 + (19935960*z^32)/w^10 + (19783540*z^32)/w^8 +
   (19572680*z^32)/w^6 + (19518980*z^32)/w^4 + (19461520*z^32)/w^2 +
   19461520*w^2*z^32 + 19518980*w^4*z^32 + 19572680*w^6*z^32 +
   19783540*w^8*z^32 + 19935960*w^10*z^32 + 20422360*w^12*z^32 +
   21089640*w^14*z^32 + 22096010*w^16*z^32 + 22910040*w^18*z^32 +
   23211720*w^20*z^32 + 21171600*w^22*z^32 + 15260680*w^24*z^32 +
   6046640*w^26*z^32 + 636740*w^28*z^32 + 4362240*z^36 +
   (1319280*z^36)/w^28 + (4540480*z^36)/w^26 + (6335880*z^36)/w^24 +
   (6526240*z^36)/w^22 + (5995120*z^36)/w^20 + (5531920*z^36)/w^18 +
   (5025000*z^36)/w^16 + (4740880*z^36)/w^14 + (4565840*z^36)/w^12 +
   (4513040*z^36)/w^10 + (4396200*z^36)/w^8 + (4414560*z^36)/w^6 +
   (4402600*z^36)/w^4 + (4427360*z^36)/w^2 + 4427360*w^2*z^36 +
   4402600*w^4*z^36 + 4414560*w^6*z^36 + 4396200*w^8*z^36 +
   4513040*w^10*z^36 + 4565840*w^12*z^36 + 4740880*w^14*z^36 +
   5025000*w^16*z^36 + 5531920*w^18*z^36 + 5995120*w^20*z^36 +
   6526240*w^22*z^36 + 6335880*w^24*z^36 + 4540480*w^26*z^36 +
   1319280*w^28*z^36 + 935684*z^40 + (204448*z^40)/w^30 +
   (1216720*z^40)/w^28 + (1839480*z^40)/w^26 + (1759380*z^40)/w^24 +
   (1495160*z^40)/w^22 + (1284244*z^40)/w^20 + (1096200*z^40)/w^18 +
   (1014040*z^40)/w^16 + (971120*z^40)/w^14 + (939400*z^40)/w^12 +
   (920280*z^40)/w^10 + (936040*z^40)/w^8 + (920320*z^40)/w^6 +
   (910360*z^40)/w^4 + (913440*z^40)/w^2 + 913440*w^2*z^40 +
   910360*w^4*z^40 + 920320*w^6*z^40 + 936040*w^8*z^40 + 920280*w^10*z^40 +
   939400*w^12*z^40 + 971120*w^14*z^40 + 1014040*w^16*z^40 +
   1096200*w^18*z^40 + 1284244*w^20*z^40 + 1495160*w^22*z^40 +
   1759380*w^24*z^40 + 1839480*w^26*z^40 + 1216720*w^28*z^40 +
   204448*w^30*z^40 + 171280*z^44 + (271440*z^44)/w^30 + (532000*z^44)/w^28 +
   (454000*z^44)/w^26 + (349960*z^44)/w^24 + (269840*z^44)/w^22 +
   (227040*z^44)/w^20 + (201040*z^44)/w^18 + (188800*z^44)/w^16 +
   (177280*z^44)/w^14 + (184800*z^44)/w^12 + (177120*z^44)/w^10 +
   (173120*z^44)/w^8 + (173840*z^44)/w^6 + (185080*z^44)/w^4 +
   (174960*z^44)/w^2 + 174960*w^2*z^44 + 185080*w^4*z^44 + 173840*w^6*z^44 +
   173120*w^8*z^44 + 177120*w^10*z^44 + 184800*w^12*z^44 + 177280*w^14*z^44 +
   188800*w^16*z^44 + 201040*w^18*z^44 + 227040*w^20*z^44 +
   269840*w^22*z^44 + 349960*w^24*z^44 + 454000*w^26*z^44 +
   532000*w^28*z^44 + 271440*w^30*z^44 + 31920*z^48 + (46120*z^48)/w^32 +
   (146960*z^48)/w^30 + (113720*z^48)/w^28 + (80880*z^48)/w^26 +
   (55475*z^48)/w^24 + (45280*z^48)/w^22 + (33220*z^48)/w^20 +
   (33080*z^48)/w^18 + (32380*z^48)/w^16 + (34560*z^48)/w^14 +
   (28100*z^48)/w^12 + (31400*z^48)/w^10 + (31755*z^48)/w^8 +
   (33120*z^48)/w^6 + (27620*z^48)/w^4 + (32240*z^48)/w^2 + 32240*w^2*z^48 +
   27620*w^4*z^48 + 33120*w^6*z^48 + 31755*w^8*z^48 + 31400*w^10*z^48 +
   28100*w^12*z^48 + 34560*w^14*z^48 + 32380*w^16*z^48 + 33080*w^18*z^48 +
   33220*w^20*z^48 + 45280*w^22*z^48 + 55475*w^24*z^48 + 80880*w^26*z^48 +
   113720*w^28*z^48 + 146960*w^30*z^48 + 46120*w^32*z^48 + 4560*z^52 +
   (35080*z^52)/w^32 + (31520*z^52)/w^30 + (18080*z^52)/w^28 +
   (9760*z^52)/w^26 + (6920*z^52)/w^24 + (4880*z^52)/w^22 +
   (6120*z^52)/w^20 + (5360*z^52)/w^18 + (4600*z^52)/w^16 +
   (3920*z^52)/w^14 + (5520*z^52)/w^12 + (4880*z^52)/w^10 + (4560*z^52)/w^8 +
   (4240*z^52)/w^6 + (5520*z^52)/w^4 + (4560*z^52)/w^2 + 4560*w^2*z^52 +
   5520*w^4*z^52 + 4240*w^6*z^52 + 4560*w^8*z^52 + 4880*w^10*z^52 +
   5520*w^12*z^52 + 3920*w^14*z^52 + 4600*w^16*z^52 + 5360*w^18*z^52 +
   6120*w^20*z^52 + 4880*w^22*z^52 + 6920*w^24*z^52 + 9760*w^26*z^52 +
   18080*w^28*z^52 + 31520*w^30*z^52 + 35080*w^32*z^52 + 800*z^56 +
   (7080*z^56)/w^34 + (9460*z^56)/w^32 + (3240*z^56)/w^30 +
   (1680*z^56)/w^28 + (1200*z^56)/w^26 + (1000*z^56)/w^24 + (760*z^56)/w^22 +
   (520*z^56)/w^20 + (520*z^56)/w^18 + (800*z^56)/w^16 + (680*z^56)/w^14 +
   (520*z^56)/w^12 + (560*z^56)/w^10 + (800*z^56)/w^8 + (640*z^56)/w^6 +
   (520*z^56)/w^4 + (600*z^56)/w^2 + 600*w^2*z^56 + 520*w^4*z^56 +
   640*w^6*z^56 + 800*w^8*z^56 + 560*w^10*z^56 + 520*w^12*z^56 +
   680*w^14*z^56 + 800*w^16*z^56 + 520*w^18*z^56 + 520*w^20*z^56 +
   760*w^22*z^56 + 1000*w^24*z^56 + 1200*w^26*z^56 + 1680*w^28*z^56 +
   3240*w^30*z^56 + 9460*w^32*z^56 + 7080*w^34*z^56 + (2560*z^60)/w^34 +
   (680*z^60)/w^32 + (400*z^60)/w^30 + (160*z^60)/w^28 + (80*z^60)/w^26 +
   (80*z^60)/w^22 + (80*z^60)/w^20 + (80*z^60)/w^18 + (80*z^60)/w^14 +
   (80*z^60)/w^12 + (80*z^60)/w^10 + (80*z^60)/w^6 + (80*z^60)/w^4 +
   (80*z^60)/w^2 + 80*w^2*z^60 + 80*w^4*z^60 + 80*w^6*z^60 + 80*w^10*z^60 +
   80*w^12*z^60 + 80*w^14*z^60 + 80*w^18*z^60 + 80*w^20*z^60 + 80*w^22*z^60 +
   80*w^26*z^60 + 160*w^28*z^60 + 400*w^30*z^60 + 680*w^32*z^60 +
   2560*w^34*z^60 + 10*z^64 + (700*z^64)/w^36 + (240*z^64)/w^34 +
   (50*z^64)/w^32 + (10*z^64)/w^24 + (10*z^64)/w^16 + (10*z^64)/w^8 +
   10*w^8*z^64 + 10*w^16*z^64 + 10*w^24*z^64 + 50*w^32*z^64 + 240*w^34*z^64 +
   700*w^36*z^64 + (80*z^68)/w^36 + 80*w^36*z^68 + (40*z^72)/w^38 +
   40*w^38*z^72 + z^80/w^40 + w^40*z^80,
  (22*w^44 + 88*w^42*z^4 + 88*w^44*z^4 + 88*w^46*z^4 + 66*w^40*z^8 +
    572*w^42*z^8 + 440*w^44*z^8 + 572*w^46*z^8 + 66*w^48*z^8 +
    1716*w^40*z^12 + 2376*w^42*z^12 + 5280*w^44*z^12 + 2376*w^46*z^12 +
    1716*w^48*z^12 + 1232*w^38*z^16 + 7194*w^40*z^16 + 17776*w^42*z^16 +
    21582*w^44*z^16 + 17776*w^46*z^16 + 7194*w^48*z^16 + 1232*w^50*z^16 +
    16104*w^38*z^20 + 41668*w^40*z^20 + 103312*w^42*z^20 + 111320*w^44*z^20 +
    103312*w^46*z^20 + 41668*w^48*z^20 + 16104*w^50*z^20 + 10934*w^36*z^24 +
    67804*w^38*z^24 + 271194*w^40*z^24 + 455004*w^42*z^24 +
    623304*w^44*z^24 + 455004*w^46*z^24 + 271194*w^48*z^24 +
    67804*w^50*z^24 + 10934*w^52*z^24 + 101376*w^36*z^28 + 462792*w^38*z^28 +
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    3588384*w^176*z^348 + 6954816*w^178*z^348 + 13597696*w^180*z^348 +
    18365376*w^182*z^348 + 2552064*w^8*z^352 + 3306816*w^10*z^352 +
    1159296*w^12*z^352 + 567744*w^14*z^352 + 341628*w^16*z^352 +
    264576*w^18*z^352 + 216144*w^20*z^352 + 178848*w^22*z^352 +
    170784*w^24*z^352 + 211968*w^26*z^352 + 193104*w^28*z^352 +
    174816*w^30*z^352 + 174828*w^32*z^352 + 208512*w^34*z^352 +
    186576*w^36*z^352 + 176832*w^38*z^352 + 180768*w^40*z^352 +
    206400*w^42*z^352 + 181200*w^44*z^352 + 178944*w^46*z^352 +
    185916*w^48*z^352 + 204288*w^50*z^352 + 176592*w^52*z^352 +
    181056*w^54*z^352 + 190272*w^56*z^352 + 202176*w^58*z^352 +
    172752*w^60*z^352 + 183168*w^62*z^352 + 193836*w^64*z^352 +
    200064*w^66*z^352 + 169680*w^68*z^352 + 185280*w^70*z^352 +
    196608*w^72*z^352 + 197952*w^74*z^352 + 167376*w^76*z^352 +
    187392*w^78*z^352 + 198588*w^80*z^352 + 195840*w^82*z^352 +
    165840*w^84*z^352 + 189504*w^86*z^352 + 199776*w^88*z^352 +
    193728*w^90*z^352 + 165072*w^92*z^352 + 191616*w^94*z^352 +
    200172*w^96*z^352 + 191616*w^98*z^352 + 165072*w^100*z^352 +
    193728*w^102*z^352 + 199776*w^104*z^352 + 189504*w^106*z^352 +
    165840*w^108*z^352 + 195840*w^110*z^352 + 198588*w^112*z^352 +
    187392*w^114*z^352 + 167376*w^116*z^352 + 197952*w^118*z^352 +
    196608*w^120*z^352 + 185280*w^122*z^352 + 169680*w^124*z^352 +
    200064*w^126*z^352 + 193836*w^128*z^352 + 183168*w^130*z^352 +
    172752*w^132*z^352 + 202176*w^134*z^352 + 190272*w^136*z^352 +
    181056*w^138*z^352 + 176592*w^140*z^352 + 204288*w^142*z^352 +
    185916*w^144*z^352 + 178944*w^146*z^352 + 181200*w^148*z^352 +
    206400*w^150*z^352 + 180768*w^152*z^352 + 176832*w^154*z^352 +
    186576*w^156*z^352 + 208512*w^158*z^352 + 174828*w^160*z^352 +
    174816*w^162*z^352 + 193104*w^164*z^352 + 211968*w^166*z^352 +
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    264576*w^174*z^352 + 341628*w^176*z^352 + 567744*w^178*z^352 +
    1159296*w^180*z^352 + 3306816*w^182*z^352 + 2552064*w^184*z^352 +
    702432*w^8*z^356 + 231552*w^10*z^356 + 110592*w^12*z^356 +
    44928*w^14*z^356 + 27360*w^16*z^356 + 11712*w^18*z^356 +
    28128*w^20*z^356 + 23616*w^22*z^356 + 21792*w^24*z^356 +
    9408*w^26*z^356 + 26688*w^28*z^356 + 22464*w^30*z^356 +
    21696*w^32*z^356 + 10176*w^34*z^356 + 26688*w^36*z^356 +
    21696*w^38*z^356 + 21696*w^40*z^356 + 10944*w^42*z^356 +
    26688*w^44*z^356 + 20928*w^46*z^356 + 21696*w^48*z^356 +
    11712*w^50*z^356 + 26688*w^52*z^356 + 20160*w^54*z^356 +
    21696*w^56*z^356 + 12480*w^58*z^356 + 26688*w^60*z^356 +
    19392*w^62*z^356 + 21696*w^64*z^356 + 13248*w^66*z^356 +
    26688*w^68*z^356 + 18624*w^70*z^356 + 21696*w^72*z^356 +
    14016*w^74*z^356 + 26688*w^76*z^356 + 17856*w^78*z^356 +
    21696*w^80*z^356 + 14784*w^82*z^356 + 26688*w^84*z^356 +
    17088*w^86*z^356 + 21696*w^88*z^356 + 15552*w^90*z^356 +
    26688*w^92*z^356 + 16320*w^94*z^356 + 21696*w^96*z^356 +
    16320*w^98*z^356 + 26688*w^100*z^356 + 15552*w^102*z^356 +
    21696*w^104*z^356 + 17088*w^106*z^356 + 26688*w^108*z^356 +
    14784*w^110*z^356 + 21696*w^112*z^356 + 17856*w^114*z^356 +
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    21696*w^128*z^356 + 19392*w^130*z^356 + 26688*w^132*z^356 +
    12480*w^134*z^356 + 21696*w^136*z^356 + 20160*w^138*z^356 +
    26688*w^140*z^356 + 11712*w^142*z^356 + 21696*w^144*z^356 +
    20928*w^146*z^356 + 26688*w^148*z^356 + 10944*w^150*z^356 +
    21696*w^152*z^356 + 21696*w^154*z^356 + 26688*w^156*z^356 +
    10176*w^158*z^356 + 21696*w^160*z^356 + 22464*w^162*z^356 +
    26688*w^164*z^356 + 9408*w^166*z^356 + 21792*w^168*z^356 +
    23616*w^170*z^356 + 28128*w^172*z^356 + 11712*w^174*z^356 +
    27360*w^176*z^356 + 44928*w^178*z^356 + 110592*w^180*z^356 +
    231552*w^182*z^356 + 702432*w^184*z^356 + 125408*w^6*z^360 +
    65712*w^8*z^360 + 14496*w^10*z^360 + 4032*w^12*z^360 + 2880*w^14*z^360 +
    2400*w^16*z^360 + 3168*w^18*z^360 + 1248*w^20*z^360 + 1248*w^22*z^360 +
    1920*w^24*z^360 + 2976*w^26*z^360 + 1248*w^28*z^360 + 1344*w^30*z^360 +
    1920*w^32*z^360 + 2880*w^34*z^360 + 1248*w^36*z^360 + 1440*w^38*z^360 +
    1920*w^40*z^360 + 2784*w^42*z^360 + 1248*w^44*z^360 + 1536*w^46*z^360 +
    1920*w^48*z^360 + 2688*w^50*z^360 + 1248*w^52*z^360 + 1632*w^54*z^360 +
    1920*w^56*z^360 + 2592*w^58*z^360 + 1248*w^60*z^360 + 1728*w^62*z^360 +
    1920*w^64*z^360 + 2496*w^66*z^360 + 1248*w^68*z^360 + 1824*w^70*z^360 +
    1920*w^72*z^360 + 2400*w^74*z^360 + 1248*w^76*z^360 + 1920*w^78*z^360 +
    1920*w^80*z^360 + 2304*w^82*z^360 + 1248*w^84*z^360 + 2016*w^86*z^360 +
    1920*w^88*z^360 + 2208*w^90*z^360 + 1248*w^92*z^360 + 2112*w^94*z^360 +
    1920*w^96*z^360 + 2112*w^98*z^360 + 1248*w^100*z^360 + 2208*w^102*z^360 +
    1920*w^104*z^360 + 2016*w^106*z^360 + 1248*w^108*z^360 +
    2304*w^110*z^360 + 1920*w^112*z^360 + 1920*w^114*z^360 +
    1248*w^116*z^360 + 2400*w^118*z^360 + 1920*w^120*z^360 +
    1824*w^122*z^360 + 1248*w^124*z^360 + 2496*w^126*z^360 +
    1920*w^128*z^360 + 1728*w^130*z^360 + 1248*w^132*z^360 +
    2592*w^134*z^360 + 1920*w^136*z^360 + 1632*w^138*z^360 +
    1248*w^140*z^360 + 2688*w^142*z^360 + 1920*w^144*z^360 +
    1536*w^146*z^360 + 1248*w^148*z^360 + 2784*w^150*z^360 +
    1920*w^152*z^360 + 1440*w^154*z^360 + 1248*w^156*z^360 +
    2880*w^158*z^360 + 1920*w^160*z^360 + 1344*w^162*z^360 +
    1248*w^164*z^360 + 2976*w^166*z^360 + 1920*w^168*z^360 +
    1248*w^170*z^360 + 1248*w^172*z^360 + 3168*w^174*z^360 +
    2400*w^176*z^360 + 2880*w^178*z^360 + 4032*w^180*z^360 +
    14496*w^182*z^360 + 65712*w^184*z^360 + 125408*w^186*z^360 +
    16896*w^6*z^364 + 1632*w^8*z^364 + 960*w^10*z^364 + 384*w^12*z^364 +
    192*w^14*z^364 + 192*w^18*z^364 + 192*w^20*z^364 + 192*w^22*z^364 +
    192*w^26*z^364 + 192*w^28*z^364 + 192*w^30*z^364 + 192*w^34*z^364 +
    192*w^36*z^364 + 192*w^38*z^364 + 192*w^42*z^364 + 192*w^44*z^364 +
    192*w^46*z^364 + 192*w^50*z^364 + 192*w^52*z^364 + 192*w^54*z^364 +
    192*w^58*z^364 + 192*w^60*z^364 + 192*w^62*z^364 + 192*w^66*z^364 +
    192*w^68*z^364 + 192*w^70*z^364 + 192*w^74*z^364 + 192*w^76*z^364 +
    192*w^78*z^364 + 192*w^82*z^364 + 192*w^84*z^364 + 192*w^86*z^364 +
    192*w^90*z^364 + 192*w^92*z^364 + 192*w^94*z^364 + 192*w^98*z^364 +
    192*w^100*z^364 + 192*w^102*z^364 + 192*w^106*z^364 + 192*w^108*z^364 +
    192*w^110*z^364 + 192*w^114*z^364 + 192*w^116*z^364 + 192*w^118*z^364 +
    192*w^122*z^364 + 192*w^124*z^364 + 192*w^126*z^364 + 192*w^130*z^364 +
    192*w^132*z^364 + 192*w^134*z^364 + 192*w^138*z^364 + 192*w^140*z^364 +
    192*w^142*z^364 + 192*w^146*z^364 + 192*w^148*z^364 + 192*w^150*z^364 +
    192*w^154*z^364 + 192*w^156*z^364 + 192*w^158*z^364 + 192*w^162*z^364 +
    192*w^164*z^364 + 192*w^166*z^364 + 192*w^170*z^364 + 192*w^172*z^364 +
    192*w^174*z^364 + 192*w^178*z^364 + 384*w^180*z^364 + 960*w^182*z^364 +
    1632*w^184*z^364 + 16896*w^186*z^364 + 4368*w^4*z^368 + 576*w^6*z^368 +
    120*w^8*z^368 + 24*w^16*z^368 + 24*w^24*z^368 + 24*w^32*z^368 +
    24*w^40*z^368 + 24*w^48*z^368 + 24*w^56*z^368 + 24*w^64*z^368 +
    24*w^72*z^368 + 24*w^80*z^368 + 24*w^88*z^368 + 24*w^96*z^368 +
    24*w^104*z^368 + 24*w^112*z^368 + 24*w^120*z^368 + 24*w^128*z^368 +
    24*w^136*z^368 + 24*w^144*z^368 + 24*w^152*z^368 + 24*w^160*z^368 +
    24*w^168*z^368 + 24*w^176*z^368 + 120*w^184*z^368 + 576*w^186*z^368 +
    4368*w^188*z^368 + 192*w^4*z^372 + 192*w^188*z^372 + 96*w^2*z^376 +
    96*w^190*z^376 + z^384 + w^192*z^384)/(w^96*z^192),
  (50*w^100 + 200*w^98*z^4 + 200*w^100*z^4 + 200*w^102*z^4 + 150*w^96*z^8 +
    2700*w^98*z^8 + 1000*w^100*z^8 + 2700*w^102*z^8 + 150*w^104*z^8 +
    9500*w^96*z^12 + 11000*w^98*z^12 + 28800*w^100*z^12 + 11000*w^102*z^12 +
    9500*w^104*z^12 + 7000*w^94*z^16 + 71650*w^96*z^16 + 103400*w^98*z^16 +
    184500*w^100*z^16 + 103400*w^102*z^16 + 71650*w^104*z^16 +
    7000*w^106*z^16 + 221400*w^94*z^20 + 377500*w^96*z^20 +
    1269400*w^98*z^20 + 965600*w^100*z^20 + 1269400*w^102*z^20 +
    377500*w^104*z^20 + 221400*w^106*z^20 + 159950*w^92*z^24 +
    1316100*w^94*z^24 + 3985100*w^96*z^24 + 6965200*w^98*z^24 +
    9020000*w^100*z^24 + 6965200*w^102*z^24 + 3985100*w^104*z^24 +
    1316100*w^106*z^24 + 159950*w^108*z^24 + 3407000*w^92*z^28 +
    9409800*w^94*z^28 + 33432400*w^96*z^28 + 46150200*w^98*z^28 +
    66059000*w^100*z^28 + 46150200*w^102*z^28 + 33432400*w^104*z^28 +
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