BeginPackage["KnotTheory`Kauffman4Links`", {"KnotTheory`"}]
Message[KnotTheory::loading, "Kauffman4Links`"]

Begin["`Private`"]

KOs = Select[AllLinks[], (Crossings[#] <= 11)&]

Is = {a^2 - a/z - a^3/z + a z + a^3 z, -a^4 + a^3/z + a^5/z + a z - 
  2 a^3 z - 3 a^5 z + a^2 z^2 + a^4 z^2 + a^3 z^3 + a^5 z^3, -1 + 1/(
  a z) + a/z - (2 z)/a - 4 a z - 2 a^3 z - z^2 + a^4 z^2 + z^3/a + 
  3 a z^3 + 2 a^3 z^3 + z^4 + a^2 z^4, -a^4 + a^3/z + a^5/z - z/a - 
  a^3 z - 2 a^5 z - 3 z^2 - 3 a^2 z^2 + z^3/a + a^5 z^3 + 2 z^4 + 
  3 a^2 z^4 + a^4 z^4 + a z^5 + a^3 z^5, 
 a^6 - a^5/z - a^7/z - 2 a^3 z + 3 a^5 z + 3 a^7 z - 2 a^9 z - 
  a^4 z^2 - 2 a^6 z^2 - a^8 z^2 + a^3 z^3 - 2 a^5 z^3 - 2 a^7 z^3 + 
  a^9 z^3 + a^4 z^4 + 2 a^6 z^4 + a^8 z^4 + a^5 z^5 + a^7 z^5, 
 a^6 - a^5/z - a^7/z + 6 a^5 z + 4 a^7 z - a^9 z + a^11 z - 
  3 a^6 z^2 - 2 a^8 z^2 + a^10 z^2 - 5 a^5 z^3 - 4 a^7 z^3 + a^9 z^3 +
   a^6 z^4 + a^8 z^4 + a^5 z^5 + a^7 z^5, 
 1 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z - 8 z^2 - (
  4 z^2)/a^2 - 4 a^2 z^2 + z^3/a^3 - z^3/a - a z^3 + a^3 z^3 + 
  6 z^4 + (3 z^4)/a^2 + 3 a^2 z^4 + (2 z^5)/a + 2 a z^5, 
 3 a^4 + 5 a^6 + 3 a^8 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/
  z + (2 a^7)/z - 3 a^5 z - 3 a^7 z + a^2 z^2 - 5 a^4 z^2 - 
  9 a^6 z^2 - 3 a^8 z^2 + 2 a^3 z^3 + a^5 z^3 - a^7 z^3 + 3 a^4 z^4 + 
  4 a^6 z^4 + a^8 z^4 + a^5 z^5 + a^7 z^5, 
 3 + 3/a^4 + 5/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(a^3 z) + 
  2/(a z) - (3 z)/a^3 - (3 z)/a - (4 z^2)/a^4 - (4 z^2)/a^2 + z^3/
  a^3 + z^3/a + z^4/a^4 + z^4/a^2, -1 + 1/(a z) + a/z + (2 z)/a^3 + (
  4 z)/a + 2 a z - 2 z^2 - (2 z^2)/a^4 - (3 z^2)/a^2 - a^2 z^2 + z^3/
  a^5 - (5 z^3)/a^3 - (12 z^3)/a - 6 a z^3 - z^4 + (3 z^4)/a^4 + z^4/
  a^2 + a^2 z^4 + (4 z^5)/a^3 + (7 z^5)/a + 3 a z^5 + 2 z^6 + (2 z^6)/
  a^2, 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z - a^3 z + 
  5 a^5 z + 8 a^7 z + 2 a^9 z - a^4 z^2 - 6 a^6 z^2 - 7 a^8 z^2 - 
  2 a^10 z^2 + a^3 z^3 - 5 a^5 z^3 - 10 a^7 z^3 - 4 a^9 z^3 + 
  2 a^4 z^4 + 3 a^6 z^4 + 2 a^8 z^4 + a^10 z^4 + 3 a^5 z^5 + 
  5 a^7 z^5 + 2 a^9 z^5 + a^6 z^6 + a^8 z^6, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) + (4 z)/
  a^5 + (9 z)/a^3 + (5 z)/a + z^2/a^8 - (3 z^2)/a^6 - (6 z^2)/a^4 - (
  2 z^2)/a^2 + (2 z^3)/a^7 - (6 z^3)/a^5 - (12 z^3)/a^3 - (4 z^3)/
  a + (3 z^4)/a^6 + z^4/a^4 - (2 z^4)/a^2 + (3 z^5)/a^5 + (4 z^5)/
  a^3 + z^5/a + z^6/a^4 + z^6/a^2, -1 + 1/(a z) + a/z + (2 z)/a^5 + (
  2 z)/a^3 - (2 z)/a - 2 a z - (2 z^2)/a^6 + (2 z^2)/a^2 - (5 z^3)/
  a^5 - (5 z^3)/a^3 + z^3/a + a z^3 + z^4 + z^4/a^6 - z^4/a^4 - z^4/
  a^2 + (2 z^5)/a^5 + (3 z^5)/a^3 + z^5/a + z^6/a^4 + z^6/a^2, 
 a^2 - a/z - a^3/z - z/a + 2 a z + 6 a^3 z + 3 a^5 z - 2 z^2 - 
  2 a^2 z^2 - 2 a^4 z^2 - 2 a^6 z^2 + z^3/a - 2 a z^3 - 8 a^3 z^3 - 
  5 a^5 z^3 + 2 z^4 + a^2 z^4 + a^6 z^4 + 2 a z^5 + 4 a^3 z^5 + 
  2 a^5 z^5 + a^2 z^6 + a^4 z^6, 
 1/a^2 - 1/(a^3 z) - 1/(a z) - z/a^7 + z/a^5 + (6 z)/a^3 + (4 z)/a + 
  z^2/a^8 - z^2/a^6 - z^2/a^4 + z^2/a^2 + (2 z^3)/a^7 - (3 z^3)/
  a^5 - (9 z^3)/a^3 - (4 z^3)/a + (2 z^4)/a^6 - z^4/a^4 - (3 z^4)/
  a^2 + (2 z^5)/a^5 + (3 z^5)/a^3 + z^5/a + z^6/a^4 + z^6/a^2, 
 3 + 5 a^2 + 3 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/z + (
  2 a^3)/z - 3 a z - 3 a^3 z - 5 z^2 - (3 z^2)/a^2 - 5 a^2 z^2 - 
  3 a^4 z^2 + z^3/a^3 - (3 z^3)/a - 4 a z^3 + 3 z^4 + (3 z^4)/a^2 + 
  a^2 z^4 + a^4 z^4 + (3 z^5)/a + 4 a z^5 + a^3 z^5 + z^6 + a^2 z^6, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z + 6 a^5 z + 
  7 a^7 z + a^9 z - 4 a^6 z^2 - 4 a^8 z^2 - 5 a^5 z^3 - 5 a^7 z^3 + 
  a^6 z^4 + a^8 z^4 + a^5 z^5 + a^7 z^5, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z + 3 a z + 
  5 a^3 z + 2 a^5 z - 2 a^2 z^2 - 5 a^4 z^2 - 3 a^6 z^2 - 3 a^3 z^3 - 
  3 a^5 z^3 + a^2 z^4 + 2 a^4 z^4 + a^6 z^4 + a^3 z^5 + a^5 z^5, -1 + 
  1/(a z) + a/z + 2 a z + 4 a^3 z + 2 a^5 z + 2 z^2 + 5 a^2 z^2 + 
  2 a^4 z^2 - a^6 z^2 - (5 z^3)/a - 11 a z^3 - 10 a^3 z^3 - 
  4 a^5 z^3 - 7 z^4 + z^4/a^2 - 14 a^2 z^4 - 5 a^4 z^4 + a^6 z^4 + (
  4 z^5)/a + 5 a z^5 + 4 a^3 z^5 + 3 a^5 z^5 + 5 z^6 + 9 a^2 z^6 + 
  4 a^4 z^6 + 2 a z^7 + 2 a^3 z^7, -1 - 1/(a^3 z) - 2/(a z) - (2 a)/
  z - a^3/z + (3 z)/a^3 + (10 z)/a + 10 a z + 3 a^3 z + 5 z^2 - z^2/
  a^4 + z^2/a^2 + 3 a^2 z^2 + z^3/a^5 - (6 z^3)/a^3 - (17 z^3)/a - 
  13 a z^3 - 3 a^3 z^3 - 12 z^4 + (3 z^4)/a^4 - (4 z^4)/a^2 - 
  5 a^2 z^4 + (5 z^5)/a^3 + (7 z^5)/a + 3 a z^5 + a^3 z^5 + 6 z^6 + (
  4 z^6)/a^2 + 2 a^2 z^6 + z^7/a + a z^7, -a^4 - a/z - (2 a^3)/z - (
  2 a^5)/z - a^7/z - z/a + 3 a z + 9 a^3 z + 8 a^5 z + 3 a^7 z - 
  z^2 + 3 a^2 z^2 + 6 a^4 z^2 + 2 a^6 z^2 + z^3/a - 3 a z^3 - 
  12 a^3 z^3 - 11 a^5 z^3 - 3 a^7 z^3 + 2 z^4 - 4 a^2 z^4 - 
  11 a^4 z^4 - 5 a^6 z^4 + 3 a z^5 + 4 a^3 z^5 + 2 a^5 z^5 + 
  a^7 z^5 + 3 a^2 z^6 + 5 a^4 z^6 + 2 a^6 z^6 + a^3 z^7 + a^5 z^7, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z + (2 z)/a + 
  7 a z + 7 a^3 z + 2 a^5 z - z^2 - z^2/a^2 - 2 a^2 z^2 - 4 a^4 z^2 - 
  2 a^6 z^2 - (5 z^3)/a - 11 a z^3 - 9 a^3 z^3 - 3 a^5 z^3 - 3 z^4 + 
  z^4/a^2 - 5 a^2 z^4 + a^6 z^4 + (3 z^5)/a + 5 a z^5 + 4 a^3 z^5 + 
  2 a^5 z^5 + 3 z^6 + 5 a^2 z^6 + 2 a^4 z^6 + a z^7 + a^3 z^7, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z + z/a^3 + (2 z)/
  a + 6 a z + 5 a^3 z - 2 z^2 - (2 z^2)/a^4 - z^2/a^2 - 3 a^2 z^2 + 
  z^3/a^5 - (4 z^3)/a^3 - (6 z^3)/a - 5 a z^3 - 4 a^3 z^3 - 6 z^4 + (
  3 z^4)/a^4 - (2 z^4)/a^2 - a^2 z^4 + (4 z^5)/a^3 + (3 z^5)/a + 
  a^3 z^5 + 4 z^6 + (3 z^6)/a^2 + a^2 z^6 + z^7/a + a z^7, -a^4 + a^3/
  z + a^5/z + z/a^3 - a z - 2 a^3 z - 2 a^5 z + 5 z^2 + (5 z^2)/
  a^2 - (3 z^3)/a^3 + 3 a z^3 + a^3 z^3 + a^5 z^3 - 8 z^4 - (7 z^4)/
  a^2 + a^4 z^4 + z^5/a^3 - (2 z^5)/a - 2 a z^5 + a^3 z^5 + 3 z^6 + (
  2 z^6)/a^2 + a^2 z^6 + z^7/a + a z^7, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z + 5 a^5 z + 
  6 a^7 z + 2 a^9 z + a^11 z - a^6 z^2 + 4 a^8 z^2 + 5 a^10 z^2 + 
  a^3 z^3 - 8 a^5 z^3 - 12 a^7 z^3 - 5 a^9 z^3 - 2 a^11 z^3 + 
  3 a^4 z^4 - 5 a^6 z^4 - 16 a^8 z^4 - 8 a^10 z^4 + 6 a^5 z^5 + 
  4 a^7 z^5 - a^9 z^5 + a^11 z^5 + 5 a^6 z^6 + 8 a^8 z^6 + 
  3 a^10 z^6 + 2 a^7 z^7 + 2 a^9 z^7, 
 a^2 - a/z - a^3/z + (2 z)/a^3 + (6 z)/a + 7 a z + 3 a^3 z + 2 z^2 - (
  2 z^2)/a^4 - (2 z^2)/a^2 + 2 a^2 z^2 + z^3/a^5 - (4 z^3)/a^3 - (
  12 z^3)/a - 10 a z^3 - 3 a^3 z^3 - 9 z^4 + (3 z^4)/a^4 - z^4/a^2 - 
  5 a^2 z^4 + (4 z^5)/a^3 + (5 z^5)/a + 2 a z^5 + a^3 z^5 + 5 z^6 + (
  3 z^6)/a^2 + 2 a^2 z^6 + z^7/a + a z^7, 
 a^2 - a/z - a^3/z + (2 z)/a + 7 a z + 7 a^3 z + 2 a^5 z - z^2/a^2 + 
  2 a^2 z^2 - a^6 z^2 - (5 z^3)/a - 13 a z^3 - 13 a^3 z^3 - 
  5 a^5 z^3 - 3 z^4 + z^4/a^2 - 8 a^2 z^4 - 3 a^4 z^4 + a^6 z^4 + (
  3 z^5)/a + 6 a z^5 + 6 a^3 z^5 + 3 a^5 z^5 + 3 z^6 + 6 a^2 z^6 + 
  3 a^4 z^6 + a z^7 + a^3 z^7, 
 a^6 - a^5/z - a^7/z - a^3 z + 4 a^5 z + 4 a^7 z + a^9 z + 2 a^11 z - 
  a^4 z^2 - 2 a^6 z^2 + 3 a^8 z^2 + 4 a^10 z^2 + a^3 z^3 - 
  4 a^5 z^3 - 6 a^7 z^3 - 4 a^9 z^3 - 3 a^11 z^3 + 2 a^4 z^4 - 
  8 a^8 z^4 - 6 a^10 z^4 + 3 a^5 z^5 + 2 a^7 z^5 + a^11 z^5 + 
  2 a^6 z^6 + 4 a^8 z^6 + 2 a^10 z^6 + a^7 z^7 + a^9 z^7, 
 a^6 - a^5/z - a^7/z + 4 a^5 z + a^7 z - 2 a^9 z - a^13 z - a^6 z^2 + 
  4 a^8 z^2 + 3 a^10 z^2 - 2 a^12 z^2 - 4 a^5 z^3 + 2 a^9 z^3 - 
  a^11 z^3 + a^13 z^3 - 2 a^6 z^4 - 7 a^8 z^4 - 3 a^10 z^4 + 
  2 a^12 z^4 + a^5 z^5 - 2 a^7 z^5 - a^9 z^5 + 2 a^11 z^5 + a^6 z^6 + 
  3 a^8 z^6 + 2 a^10 z^6 + a^7 z^7 + a^9 z^7, -a^8 + a^7/z + a^9/z + 
  3 a^5 z - 5 a^7 z - 5 a^9 z + a^11 z - 2 a^13 z + a^6 z^2 + 
  5 a^8 z^2 + 3 a^10 z^2 - a^12 z^2 - 4 a^5 z^3 + 6 a^7 z^3 + 
  8 a^9 z^3 - a^11 z^3 + a^13 z^3 - 3 a^6 z^4 - 6 a^8 z^4 - 
  2 a^10 z^4 + a^12 z^4 + a^5 z^5 - 4 a^7 z^5 - 4 a^9 z^5 + a^11 z^5 +
   a^6 z^6 + 2 a^8 z^6 + a^10 z^6 + a^7 z^7 + a^9 z^7, -a^8 + a^7/z + 
  a^9/z - a^3 z + 3 a^5 z - 3 a^7 z - 3 a^9 z + 4 a^11 z - a^4 z^2 + 
  a^8 z^2 + a^3 z^3 - 4 a^5 z^3 + a^7 z^3 + 2 a^9 z^3 - 4 a^11 z^3 + 
  2 a^4 z^4 - a^6 z^4 - 5 a^8 z^4 - 2 a^10 z^4 + 3 a^5 z^5 - 
  2 a^9 z^5 + a^11 z^5 + 2 a^6 z^6 + 3 a^8 z^6 + a^10 z^6 + a^7 z^7 + 
  a^9 z^7, -a^8 + a^7/z + a^9/z - 10 a^7 z - 7 a^9 z + a^11 z - 
  a^13 z + a^15 z + 6 a^8 z^2 + 3 a^10 z^2 - 2 a^12 z^2 + a^14 z^2 + 
  15 a^7 z^3 + 11 a^9 z^3 - 3 a^11 z^3 + a^13 z^3 - 5 a^8 z^4 - 
  4 a^10 z^4 + a^12 z^4 - 7 a^7 z^5 - 6 a^9 z^5 + a^11 z^5 + a^8 z^6 +
   a^10 z^6 + a^7 z^7 + a^9 z^7, 
 3 a^4 + 5 a^6 + 3 a^8 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/
  z + (2 a^7)/z - 3 a^5 z - 3 a^7 z - z^2 + 2 a^2 z^2 - 6 a^6 z^2 - 
  3 a^8 z^2 - 5 a z^3 - 3 a^3 z^3 + 2 a^5 z^3 + z^4 - 5 a^2 z^4 - 
  5 a^4 z^4 + 2 a^6 z^4 + a^8 z^4 + 3 a z^5 + 2 a^3 z^5 + a^7 z^5 + 
  3 a^2 z^6 + 4 a^4 z^6 + a^6 z^6 + a^3 z^7 + a^5 z^7, 
 1 + 1/a^4 + 1/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(a^3 z) + 
  2/(a z) - z/a^3 - z/a + 6 z^2 - (2 z^2)/a^6 + (2 z^2)/a^4 + (
  10 z^2)/a^2 + z^3/a^7 - (3 z^3)/a^5 - (3 z^3)/a^3 - z^3/a - 
  2 a z^3 - 9 z^4 + (3 z^4)/a^6 - (5 z^4)/a^4 - (17 z^4)/a^2 + (
  4 z^5)/a^5 - (3 z^5)/a + a z^5 + 3 z^6 + (4 z^6)/a^4 + (7 z^6)/
  a^2 + (2 z^7)/a^3 + (2 z^7)/a, -5 a^6 - 8 a^8 - 3 a^10 + a^12 + a^6/
  z^2 + (2 a^8)/z^2 + a^10/z^2 - (2 a^7)/z - (2 a^9)/z + 6 a^7 z + 
  6 a^9 z - 2 a^4 z^2 + 10 a^6 z^2 + 15 a^8 z^2 + a^10 z^2 - 
  2 a^12 z^2 - 3 a^5 z^3 - 6 a^7 z^3 - 6 a^9 z^3 - 3 a^11 z^3 + 
  a^4 z^4 - 8 a^6 z^4 - 12 a^8 z^4 - 2 a^10 z^4 + a^12 z^4 + 
  2 a^5 z^5 + 2 a^7 z^5 + 2 a^9 z^5 + 2 a^11 z^5 + 3 a^6 z^6 + 
  5 a^8 z^6 + 2 a^10 z^6 + a^7 z^7 + a^9 z^7, 
 1/a^8 - 3/a^6 - 8/a^4 - 5/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(
  a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (6 z)/a^5 + (6 z)/a^3 + z^2/
  a^10 - (3 z^2)/a^8 + (6 z^2)/a^6 + (18 z^2)/a^4 + (8 z^2)/a^2 + (
  2 z^3)/a^9 - (4 z^3)/a^7 - (7 z^3)/a^5 - z^3/a^3 + (3 z^4)/a^8 - (
  8 z^4)/a^6 - (16 z^4)/a^4 - (5 z^4)/a^2 + (3 z^5)/a^7 - (3 z^5)/
  a^3 + (3 z^6)/a^6 + (4 z^6)/a^4 + z^6/a^2 + z^7/a^5 + z^7/a^3, -3 - 
  2/a^2 - 2 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/
  z + (2 z)/a + 2 a z + 12 z^2 - z^2/a^4 + (5 z^2)/a^2 + 5 a^2 z^2 - 
  a^4 z^2 - (4 z^3)/a^3 - (4 z^3)/a - 4 a z^3 - 4 a^3 z^3 - 16 z^4 + 
  z^4/a^4 - (7 z^4)/a^2 - 7 a^2 z^4 + a^4 z^4 + (3 z^5)/a^3 + z^5/a + 
  a z^5 + 3 a^3 z^5 + 8 z^6 + (4 z^6)/a^2 + 4 a^2 z^6 + (2 z^7)/a + 
  2 a z^7, -9 + 1/a^4 - 4/a^2 - 4 a^2 + a^4 + 2/z^2 + 1/(a^2 z^2) + 
  a^2/z^2 - 2/(a z) - (2 a)/z + (8 z)/a + 8 a z + 14 z^2 - (2 z^2)/
  a^4 + (5 z^2)/a^2 + 5 a^2 z^2 - 2 a^4 z^2 - (2 z^3)/a^3 - (12 z^3)/
  a - 12 a z^3 - 2 a^3 z^3 - 12 z^4 + z^4/a^4 - (5 z^4)/a^2 - 
  5 a^2 z^4 + a^4 z^4 + (2 z^5)/a^3 + (5 z^5)/a + 5 a z^5 + 
  2 a^3 z^5 + 6 z^6 + (3 z^6)/a^2 + 3 a^2 z^6 + z^7/a + a z^7, 
 8 a^6 + 15 a^8 + 8 a^10 + a^5/z^3 + (3 a^7)/z^3 + (3 a^9)/z^3 + a^11/
  z^3 - (3 a^6)/z^2 - (6 a^8)/z^2 - (3 a^10)/z^2 - (4 a^5)/z - (
  9 a^7)/z - (9 a^9)/z - (4 a^11)/z + 6 a^5 z + 14 a^7 z + 14 a^9 z + 
  6 a^11 z - 6 a^6 z^2 - 12 a^8 z^2 - 6 a^10 z^2 + a^3 z^3 - 
  9 a^5 z^3 - 17 a^7 z^3 - 11 a^9 z^3 - 4 a^11 z^3 + 3 a^4 z^4 - 
  2 a^6 z^4 - 5 a^8 z^4 + 6 a^5 z^5 + 7 a^7 z^5 + 2 a^9 z^5 + 
  a^11 z^5 + 4 a^6 z^6 + 5 a^8 z^6 + a^10 z^6 + a^7 z^7 + 
  a^9 z^7, -a^4 - a/z - (2 a^3)/z - (2 a^5)/z - a^7/z + 4 a z + 
  8 a^3 z + 7 a^5 z + 3 a^7 z + a^2 z^2 + a^4 z^2 - 4 a z^3 - 
  10 a^3 z^3 - 6 a^5 z^3 - 3 a^2 z^4 - 2 a^4 z^4 + a^6 z^4 + a z^5 + 
  3 a^3 z^5 + 2 a^5 z^5 + a^2 z^6 + a^4 z^6, -1 - 1/(a^3 z) - 2/(
  a z) - (2 a)/z - a^3/z + z/a^3 + (6 z)/a + 8 a z + 3 a^3 z + 4 z^2 +
   z^2/a^2 + 3 a^2 z^2 - (4 z^3)/a - 8 a z^3 - 4 a^3 z^3 - 4 z^4 - 
  4 a^2 z^4 + z^5/a + 2 a z^5 + a^3 z^5 + z^6 + a^2 z^6, -5 a^6 - 
  8 a^8 - 3 a^10 + a^12 + a^6/z^2 + (2 a^8)/z^2 + a^10/z^2 - (2 a^7)/
  z - (2 a^9)/z + 6 a^7 z + 6 a^9 z + 10 a^6 z^2 + 11 a^8 z^2 + 
  a^10 z^2 - 5 a^7 z^3 - 5 a^9 z^3 - 6 a^6 z^4 - 6 a^8 z^4 + a^7 z^5 +
   a^9 z^5 + a^6 z^6 + a^8 z^6, -5 a^2 - 8 a^4 - 3 a^6 + a^8 + a^2/
  z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z + 6 a^3 z + 
  6 a^5 z + 3 a^2 z^2 + 10 a^4 z^2 + 4 a^6 z^2 - 3 a^8 z^2 - 
  3 a^3 z^3 - 5 a^5 z^3 - 2 a^7 z^3 - 4 a^4 z^4 - 3 a^6 z^4 + 
  a^8 z^4 + a^3 z^5 + 2 a^5 z^5 + a^7 z^5 + a^4 z^6 + 
  a^6 z^6, -3 a^2 - 4 a^4 - a^6 + a^8 + a^2/z^2 + (2 a^4)/z^2 + a^6/
  z^2 - (2 a^3)/z - (2 a^5)/z + 4 a^3 z + 4 a^5 z + 3 a^2 z^2 + 
  3 a^4 z^2 - 2 a^6 z^2 - 2 a^8 z^2 - a^3 z^3 - 5 a^5 z^3 - 
  4 a^7 z^3 - a^4 z^4 + a^8 z^4 + a^3 z^5 + 3 a^5 z^5 + 2 a^7 z^5 + 
  a^4 z^6 + a^6 z^6, 
 2 a^4 - 2 a^6 - 9 a^8 - 6 a^10 + a^6/z^2 + (2 a^8)/z^2 + a^10/z^2 - (
  2 a^7)/z - (2 a^9)/z + 8 a^7 z + 8 a^9 z - 4 a^4 z^2 + 14 a^8 z^2 + 
  10 a^10 z^2 - 6 a^7 z^3 - 6 a^9 z^3 + a^4 z^4 - 7 a^8 z^4 - 
  6 a^10 z^4 + a^7 z^5 + a^9 z^5 + a^8 z^6 + a^10 z^6, 
 8/a^6 + 15/a^4 + 8/a^2 + 1/(a^7 z^3) + 3/(a^5 z^3) + 3/(a^3 z^3) + 
  1/(a z^3) - 3/(a^6 z^2) - 6/(a^4 z^2) - 3/(a^2 z^2) - 4/(a^7 z) - 
  9/(a^5 z) - 9/(a^3 z) - 4/(a z) + (6 z)/a^7 + (14 z)/a^5 + (14 z)/
  a^3 + (6 z)/a - (6 z^2)/a^6 - (12 z^2)/a^4 - (6 z^2)/a^2 - (4 z^3)/
  a^7 - (16 z^3)/a^5 - (12 z^3)/a^3 - z^4/a^6 + (2 z^4)/a^4 + (3 z^4)/
  a^2 + z^5/a^7 + (5 z^5)/a^5 + (4 z^5)/a^3 + z^6/a^6 + z^6/a^4, 
 15 + 8/a^2 + 8 a^2 + 1/(a^3 z^3) + 3/(a z^3) + (3 a)/z^3 + a^3/z^3 - 
  6/z^2 - 3/(a^2 z^2) - (3 a^2)/z^2 - 4/(a^3 z) - 9/(a z) - (9 a)/
  z - (4 a^3)/z + (6 z)/a^3 + (14 z)/a + 14 a z + 6 a^3 z - 12 z^2 - (
  6 z^2)/a^2 - 6 a^2 z^2 - (5 z^3)/a^3 - (7 z^3)/a - 7 a z^3 - 
  5 a^3 z^3 + 2 z^4 + z^4/a^2 + a^2 z^4 + z^5/a^3 + z^5/a + a z^5 + 
  a^3 z^5, -1 + 1/(a z) + a/z - (2 z)/a^5 - (4 z)/a^3 - (2 z)/a + 
  z^2 + (4 z^2)/a^6 + (7 z^2)/a^4 + (4 z^2)/a^2 - (2 z^3)/a^7 + (
  7 z^3)/a^5 + (13 z^3)/a^3 - 4 a z^3 - 7 z^4 - (7 z^4)/a^6 - (
  10 z^4)/a^4 - (11 z^4)/a^2 + a^2 z^4 + z^5/a^7 - (9 z^5)/a^5 - (
  18 z^5)/a^3 - (4 z^5)/a + 4 a z^5 + 6 z^6 + (3 z^6)/a^6 + (2 z^6)/
  a^4 + (5 z^6)/a^2 + (4 z^7)/a^5 + (9 z^7)/a^3 + (5 z^7)/a + (2 z^8)/
  a^4 + (2 z^8)/a^2, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) - (2 z)/
  a^5 - (3 z)/a^3 - z/a + z^2 - (2 z^2)/a^8 - (2 z^2)/a^6 + z^2/a^2 + 
  z^3/a^9 - (3 z^3)/a^7 + (6 z^3)/a^5 + (22 z^3)/a^3 + (12 z^3)/a - 
  3 z^4 + (3 z^4)/a^8 - (3 z^4)/a^6 - (3 z^4)/a^4 + (4 z^5)/a^7 - (
  8 z^5)/a^5 - (24 z^5)/a^3 - (12 z^5)/a + z^6 + (4 z^6)/a^6 - (
  2 z^6)/a^4 - (5 z^6)/a^2 + (4 z^7)/a^5 + (7 z^7)/a^3 + (3 z^7)/a + (
  2 z^8)/a^4 + (2 z^8)/a^2, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) + (3 z)/
  a^3 + (5 z)/a + 2 a z + (2 z^2)/a^6 + (3 z^2)/a^4 + (2 z^2)/a^2 - 
  a^2 z^2 - z^3/a^7 + (4 z^3)/a^5 + (6 z^3)/a^3 - (3 z^3)/a - 
  4 a z^3 - 3 z^4 - (8 z^4)/a^6 - (13 z^4)/a^4 - (9 z^4)/a^2 + 
  a^2 z^4 + z^5/a^7 - (10 z^5)/a^5 - (16 z^5)/a^3 - (2 z^5)/a + 
  3 a z^5 + 4 z^6 + (4 z^6)/a^6 + (4 z^6)/a^4 + (4 z^6)/a^2 + (5 z^7)/
  a^5 + (9 z^7)/a^3 + (4 z^7)/a + (2 z^8)/a^4 + (2 z^8)/
  a^2, -(2/a^8) - 5/a^6 - 3/a^4 + 1/a^2 + 1/(a^7 z) + 2/(a^5 z) - 1/(
  a z) - (2 z)/a^7 - (3 z)/a^5 + (2 z)/a^3 + (3 z)/a - z^2/a^10 + (
  5 z^2)/a^8 + (13 z^2)/a^6 + (8 z^2)/a^4 + z^2/a^2 - (3 z^3)/a^9 + (
  4 z^3)/a^7 + (6 z^3)/a^5 - (4 z^3)/a^3 - (3 z^3)/a + z^4/a^10 - (
  8 z^4)/a^8 - (16 z^4)/a^6 - (11 z^4)/a^4 - (4 z^4)/a^2 + (3 z^5)/
  a^9 - (5 z^5)/a^7 - (10 z^5)/a^5 - z^5/a^3 + z^5/a + (5 z^6)/a^8 + (
  7 z^6)/a^6 + (4 z^6)/a^4 + (2 z^6)/a^2 + (4 z^7)/a^7 + (6 z^7)/
  a^5 + (2 z^7)/a^3 + z^8/a^6 + z^8/a^4, -3 - 2/a^4 - 5/a^2 + a^2 + 
  1/(a^3 z) + 2/(a z) - a^3/z + z/a^5 - (6 z)/a - 2 a z + 3 a^3 z + 
  13 z^2 - z^2/a^6 + (5 z^2)/a^4 + (19 z^2)/a^2 - (3 z^3)/a^5 - (
  2 z^3)/a^3 + (7 z^3)/a + 3 a z^3 - 3 a^3 z^3 - 19 z^4 + z^4/a^6 - (
  7 z^4)/a^4 - (24 z^4)/a^2 - 3 a^2 z^4 + (3 z^5)/a^5 - (2 z^5)/
  a^3 - (11 z^5)/a - 5 a z^5 + a^3 z^5 + 7 z^6 + (5 z^6)/a^4 + (
  10 z^6)/a^2 + 2 a^2 z^6 + (4 z^7)/a^3 + (7 z^7)/a + 3 a z^7 + z^8 + 
  z^8/a^2, -5 a^8 - 5 a^10 + a^14 + (3 a^7)/z + (5 a^9)/z + (2 a^11)/
  z + 2 a^5 z - 9 a^7 z - 17 a^9 z - 6 a^11 z + a^6 z^2 + 
  13 a^8 z^2 + 15 a^10 z^2 + a^12 z^2 - 2 a^14 z^2 - 3 a^5 z^3 + 
  10 a^7 z^3 + 21 a^9 z^3 + 6 a^11 z^3 - 2 a^13 z^3 - 4 a^6 z^4 - 
  14 a^8 z^4 - 14 a^10 z^4 - 3 a^12 z^4 + a^14 z^4 + a^5 z^5 - 
  8 a^7 z^5 - 15 a^9 z^5 - 4 a^11 z^5 + 2 a^13 z^5 + 2 a^6 z^6 + 
  4 a^8 z^6 + 5 a^10 z^6 + 3 a^12 z^6 + 3 a^7 z^7 + 6 a^9 z^7 + 
  3 a^11 z^7 + a^8 z^8 + a^10 z^8, 
 a^6 - 3 a^8 - 5 a^10 - 2 a^12 - a^5/z + (2 a^9)/z + a^11/z - a^3 z + 
  3 a^5 z + a^7 z - 5 a^9 z - 2 a^11 z - a^4 z^2 - a^6 z^2 + 
  10 a^8 z^2 + 15 a^10 z^2 + 5 a^12 z^2 + a^3 z^3 - 3 a^5 z^3 + 
  2 a^7 z^3 + 12 a^9 z^3 + 6 a^11 z^3 + 2 a^4 z^4 - 2 a^6 z^4 - 
  13 a^8 z^4 - 13 a^10 z^4 - 4 a^12 z^4 + 3 a^5 z^5 - 5 a^7 z^5 - 
  15 a^9 z^5 - 7 a^11 z^5 + 3 a^6 z^6 + 3 a^8 z^6 + a^10 z^6 + 
  a^12 z^6 + 3 a^7 z^7 + 5 a^9 z^7 + 2 a^11 z^7 + a^8 z^8 + 
  a^10 z^8, -1 - 1/(a^3 z) - 2/(a z) - (2 a)/z - a^3/z + (2 z)/a^5 + (
  5 z)/a^3 + (8 z)/a + 8 a z + 3 a^3 z + 3 z^2 - z^2/a^6 + z^2/a^4 + (
  3 z^2)/a^2 + 2 a^2 z^2 - (4 z^3)/a^5 - (7 z^3)/a^3 - (8 z^3)/a - 
  8 a z^3 - 3 a^3 z^3 - 9 z^4 + z^4/a^6 - (4 z^4)/a^4 - (10 z^4)/
  a^2 - 4 a^2 z^4 + (3 z^5)/a^5 + z^5/a^3 - (3 z^5)/a + a^3 z^5 + 
  4 z^6 + (4 z^6)/a^4 + (6 z^6)/a^2 + 2 a^2 z^6 + (3 z^7)/a^3 + (
  5 z^7)/a + 2 a z^7 + z^8 + z^8/a^2, -1 + 1/(a z) + a/z - (4 z)/a - 
  8 a z - 4 a^3 z + 3 z^2 + (2 z^2)/a^2 + 3 a^2 z^2 + a^4 z^2 - 
  a^6 z^2 - (2 z^3)/a^3 + (10 z^3)/a + 24 a z^3 + 8 a^3 z^3 - 
  4 a^5 z^3 - 4 z^4 - (7 z^4)/a^2 - 3 a^2 z^4 - 5 a^4 z^4 + a^6 z^4 + 
  z^5/a^3 - (11 z^5)/a - 22 a z^5 - 7 a^3 z^5 + 3 a^5 z^5 - z^6 + (
  3 z^6)/a^2 + 4 a^4 z^6 + (4 z^7)/a + 8 a z^7 + 4 a^3 z^7 + 2 z^8 + 
  2 a^2 z^8, -1 - 1/(a^3 z) - 2/(a z) - (2 a)/z - a^3/z + (3 z)/
  a^3 + (6 z)/a + 2 a z - a^3 z + 6 z^2 + (4 z^2)/a^2 + 4 a^2 z^2 + 
  2 a^4 z^2 + z^3/a^5 - (6 z^3)/a^3 - (5 z^3)/a + 13 a z^3 + 
  11 a^3 z^3 - 14 z^4 + (3 z^4)/a^4 - (10 z^4)/a^2 - 4 a^2 z^4 - 
  3 a^4 z^4 + (6 z^5)/a^3 - (5 z^5)/a - 22 a z^5 - 11 a^3 z^5 + 
  3 z^6 + (7 z^6)/a^2 - 3 a^2 z^6 + a^4 z^6 + (5 z^7)/a + 8 a z^7 + 
  3 a^3 z^7 + 2 z^8 + 2 a^2 z^8, -a^4 - a/z - (2 a^3)/z - (2 a^5)/z - 
  a^7/z + 4 a z + 8 a^3 z + 7 a^5 z + 3 a^7 z + 2 z^2 + 7 a^2 z^2 + 
  7 a^4 z^2 + 2 a^6 z^2 - (4 z^3)/a - 7 a z^3 - 7 a^3 z^3 - 
  7 a^5 z^3 - 3 a^7 z^3 - 8 z^4 + z^4/a^2 - 17 a^2 z^4 - 12 a^4 z^4 - 
  4 a^6 z^4 + (4 z^5)/a - 5 a^3 z^5 + a^7 z^5 + 6 z^6 + 9 a^2 z^6 + 
  5 a^4 z^6 + 2 a^6 z^6 + 4 a z^7 + 6 a^3 z^7 + 2 a^5 z^7 + a^2 z^8 + 
  a^4 z^8, -5 a^8 - 5 a^10 + a^14 + (3 a^7)/z + (5 a^9)/z + (2 a^11)/
  z + a^5 z - 10 a^7 z - 16 a^9 z - 5 a^11 z + a^6 z^2 + 12 a^8 z^2 + 
  11 a^10 z^2 - 2 a^12 z^2 - 2 a^14 z^2 - 3 a^5 z^3 + 15 a^7 z^3 + 
  26 a^9 z^3 + 5 a^11 z^3 - 3 a^13 z^3 - 5 a^6 z^4 - 9 a^8 z^4 - 
  6 a^10 z^4 - a^12 z^4 + a^14 z^4 + a^5 z^5 - 11 a^7 z^5 - 
  17 a^9 z^5 - 3 a^11 z^5 + 2 a^13 z^5 + 2 a^6 z^6 + a^8 z^6 + 
  a^10 z^6 + 2 a^12 z^6 + 3 a^7 z^7 + 5 a^9 z^7 + 2 a^11 z^7 + 
  a^8 z^8 + a^10 z^8, 
 a^6 - 3 a^8 - 5 a^10 - 2 a^12 - a^5/z + (2 a^9)/z + a^11/z + 
  4 a^5 z - 6 a^9 z - 2 a^11 z + a^6 z^2 + 13 a^8 z^2 + 17 a^10 z^2 + 
  5 a^12 z^2 + a^3 z^3 - 7 a^5 z^3 - 3 a^7 z^3 + 12 a^9 z^3 + 
  7 a^11 z^3 + 3 a^4 z^4 - 7 a^6 z^4 - 21 a^8 z^4 - 15 a^10 z^4 - 
  4 a^12 z^4 + 6 a^5 z^5 - 3 a^7 z^5 - 16 a^9 z^5 - 7 a^11 z^5 + 
  6 a^6 z^6 + 7 a^8 z^6 + 2 a^10 z^6 + a^12 z^6 + 4 a^7 z^7 + 
  6 a^9 z^7 + 2 a^11 z^7 + a^8 z^8 + a^10 z^8, 
 1/a^10 - 5/a^6 - 5/a^4 + 2/(a^7 z) + 5/(a^5 z) + 3/(a^3 z) - (7 z)/
  a^7 - (17 z)/a^5 - (10 z)/a^3 + z^2/a^12 - (3 z^2)/a^10 + (12 z^2)/
  a^6 + (8 z^2)/a^4 + (2 z^3)/a^11 - (4 z^3)/a^9 + (12 z^3)/a^7 + (
  30 z^3)/a^5 + (12 z^3)/a^3 + (3 z^4)/a^10 - (6 z^4)/a^8 - (8 z^4)/
  a^6 + z^4/a^4 + (3 z^5)/a^9 - (11 z^5)/a^7 - (20 z^5)/a^5 - (6 z^5)/
  a^3 + (3 z^6)/a^8 - z^6/a^6 - (4 z^6)/a^4 + (3 z^7)/a^7 + (4 z^7)/
  a^5 + z^7/a^3 + z^8/a^6 + z^8/a^4, -(2/a^8) - 5/a^6 - 3/a^4 + 1/
  a^2 + 1/(a^7 z) + 2/(a^5 z) - 1/(a z) - (4 z)/a^7 - (7 z)/a^5 + (
  3 z)/a - (2 z^2)/a^10 + (6 z^2)/a^8 + (15 z^2)/a^6 + (7 z^2)/a^4 - (
  3 z^3)/a^9 + (10 z^3)/a^7 + (13 z^3)/a^5 - (3 z^3)/a^3 - (3 z^3)/a +
   z^4/a^10 - (6 z^4)/a^8 - (11 z^4)/a^6 - (8 z^4)/a^4 - (4 z^4)/
  a^2 + (2 z^5)/a^9 - (7 z^5)/a^7 - (12 z^5)/a^5 - (2 z^5)/a^3 + z^5/
  a + (3 z^6)/a^8 + (3 z^6)/a^6 + (2 z^6)/a^4 + (2 z^6)/a^2 + (3 z^7)/
  a^7 + (5 z^7)/a^5 + (2 z^7)/a^3 + z^8/a^6 + z^8/a^4, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z + a z + 
  4 a^5 z + 7 a^7 z + 2 a^9 z + 3 a^2 z^2 + 5 a^4 z^2 - a^6 z^2 - 
  5 a^8 z^2 - 2 a^10 z^2 - 2 a z^3 - 5 a^7 z^3 - 3 a^9 z^3 - 
  7 a^2 z^4 - 11 a^4 z^4 - 4 a^6 z^4 + a^8 z^4 + a^10 z^4 + a z^5 - 
  5 a^3 z^5 - 7 a^5 z^5 + a^7 z^5 + 2 a^9 z^5 + 3 a^2 z^6 + 
  4 a^4 z^6 + 3 a^6 z^6 + 2 a^8 z^6 + 3 a^3 z^7 + 5 a^5 z^7 + 
  2 a^7 z^7 + a^4 z^8 + a^6 z^8, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) - (2 z)/
  a^7 + (7 z)/a^3 + (5 z)/a - z^2/a^10 + (2 z^2)/a^8 - z^2/a^6 - (
  7 z^2)/a^4 - (3 z^2)/a^2 - (4 z^3)/a^9 + (4 z^3)/a^7 + (5 z^3)/
  a^5 - (7 z^3)/a^3 - (4 z^3)/a + z^4/a^10 - (6 z^4)/a^8 - (2 z^4)/
  a^6 + (4 z^4)/a^4 - z^4/a^2 + (3 z^5)/a^9 - (4 z^5)/a^7 - (7 z^5)/
  a^5 + z^5/a^3 + z^5/a + (4 z^6)/a^8 + (2 z^6)/a^6 - z^6/a^4 + z^6/
  a^2 + (3 z^7)/a^7 + (4 z^7)/a^5 + z^7/a^3 + z^8/a^6 + z^8/a^4, -1 + 
  1/(a z) + a/z - (2 z)/a^7 - (2 z)/a^5 - (2 z)/a - 2 a z + (3 z^2)/
  a^8 - (3 z^2)/a^4 + (10 z^3)/a^7 + (10 z^3)/a^5 + z^3/a + a z^3 + 
  z^4 - (4 z^4)/a^8 + z^4/a^6 + (4 z^4)/a^4 - (9 z^5)/a^7 - (11 z^5)/
  a^5 - z^5/a^3 + z^5/a + z^6/a^8 - (3 z^6)/a^6 - (3 z^6)/a^4 + z^6/
  a^2 + (2 z^7)/a^7 + (3 z^7)/a^5 + z^7/a^3 + z^8/a^6 + z^8/
  a^4, -a^4 + a^3/z + a^5/z - 3 a^3 z - 2 a^5 z + a^7 z + 2 z^2 + 
  6 a^2 z^2 + 7 a^4 z^2 + 3 a^6 z^2 - (3 z^3)/a + a z^3 + 
  10 a^3 z^3 + 4 a^5 z^3 - 2 a^7 z^3 - 9 z^4 + z^4/a^2 - 17 a^2 z^4 - 
  13 a^4 z^4 - 6 a^6 z^4 + (4 z^5)/a - 6 a z^5 - 18 a^3 z^5 - 
  7 a^5 z^5 + a^7 z^5 + 7 z^6 + 8 a^2 z^6 + 4 a^4 z^6 + 3 a^6 z^6 + 
  6 a z^7 + 10 a^3 z^7 + 4 a^5 z^7 + 2 a^2 z^8 + 2 a^4 z^8, 
 a^2 - a/z - a^3/z + a z + a^3 z + 6 z^2 + (2 z^2)/a^2 + 6 a^2 z^2 + 
  2 a^4 z^2 - z^3/a^3 + (6 z^3)/a + 12 a z^3 + 2 a^3 z^3 - 
  3 a^5 z^3 - 14 z^4 - (7 z^4)/a^2 - 16 a^2 z^4 - 8 a^4 z^4 + 
  a^6 z^4 + z^5/a^3 - (12 z^5)/a - 25 a z^5 - 8 a^3 z^5 + 4 a^5 z^5 + 
  3 z^6 + (4 z^6)/a^2 + 6 a^2 z^6 + 7 a^4 z^6 + (6 z^7)/a + 
  13 a z^7 + 7 a^3 z^7 + 3 z^8 + 3 a^2 z^8, 
 a^2 - a/z - a^3/z - (3 z)/a - 4 a z + a^5 z + 4 z^2 + (3 z^2)/a^2 + 
  2 a^2 z^2 - a^6 z^2 - (2 z^3)/a^3 + (8 z^3)/a + 17 a z^3 + 
  3 a^3 z^3 - 4 a^5 z^3 - 6 z^4 - (7 z^4)/a^2 - 4 a^2 z^4 - 
  4 a^4 z^4 + a^6 z^4 + z^5/a^3 - (10 z^5)/a - 19 a z^5 - 5 a^3 z^5 + 
  3 a^5 z^5 + (3 z^6)/a^2 + a^2 z^6 + 4 a^4 z^6 + (4 z^7)/a + 
  8 a z^7 + 4 a^3 z^7 + 2 z^8 + 2 a^2 z^8, 
 a^2 - a/z - a^3/z - 2 a z - 4 a^3 z - a^5 z + a^7 z + 2 z^2 + 
  5 a^2 z^2 + 7 a^4 z^2 + 3 a^6 z^2 - a^8 z^2 + 11 a z^3 + 
  19 a^3 z^3 + 3 a^5 z^3 - 4 a^7 z^3 + a^9 z^3 - 3 z^4 - 5 a^2 z^4 - 
  13 a^4 z^4 - 8 a^6 z^4 + 3 a^8 z^4 - 11 a z^5 - 24 a^3 z^5 - 
  8 a^5 z^5 + 5 a^7 z^5 + z^6 - 3 a^2 z^6 + 2 a^4 z^6 + 6 a^6 z^6 + 
  3 a z^7 + 8 a^3 z^7 + 5 a^5 z^7 + 2 a^2 z^8 + 2 a^4 z^8, -1 - 
  3 a^2 - 3 a^4 + a/z + (3 a^3)/z + (2 a^5)/z + z/a - 11 a^3 z - 
  8 a^5 z + 2 a^7 z + 2 z^2 - z^2/a^2 + 13 a^2 z^2 + 11 a^4 z^2 + 
  a^6 z^2 - (4 z^3)/a - 2 a z^3 + 15 a^3 z^3 + 10 a^5 z^3 - 
  3 a^7 z^3 - 5 z^4 + z^4/a^2 - 15 a^2 z^4 - 13 a^4 z^4 - 
  4 a^6 z^4 + (3 z^5)/a - a z^5 - 13 a^3 z^5 - 8 a^5 z^5 + a^7 z^5 + 
  4 z^6 + 6 a^2 z^6 + 4 a^4 z^6 + 2 a^6 z^6 + 3 a z^7 + 6 a^3 z^7 + 
  3 a^5 z^7 + a^2 z^8 + a^4 z^8, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/z + (
  3 a^5)/z + a^7/z + 2 a z - 5 a^3 z - 14 a^5 z - 7 a^7 z + 
  2 a^2 z^2 + 6 a^4 z^2 + 11 a^6 z^2 + 5 a^8 z^2 - 2 a^10 z^2 - 
  3 a z^3 + 3 a^3 z^3 + 22 a^5 z^3 + 13 a^7 z^3 - 3 a^9 z^3 - 
  5 a^2 z^4 - 6 a^4 z^4 - 8 a^6 z^4 - 6 a^8 z^4 + a^10 z^4 + a z^5 - 
  4 a^3 z^5 - 15 a^5 z^5 - 8 a^7 z^5 + 2 a^9 z^5 + 2 a^2 z^6 + 
  a^4 z^6 + 2 a^6 z^6 + 3 a^8 z^6 + 2 a^3 z^7 + 5 a^5 z^7 + 
  3 a^7 z^7 + a^4 z^8 + a^6 z^8, 
 a^2 - a/z - a^3/z - z/a + 3 a z + 5 a^3 z - 2 a^5 z - 3 a^7 z - z^2 +
   a^2 z^2 + a^4 z^2 + 3 a^6 z^2 + 4 a^8 z^2 + z^3/a - 3 a z^3 - 
  6 a^3 z^3 + 7 a^5 z^3 + 9 a^7 z^3 + 2 z^4 - 3 a^2 z^4 - 5 a^4 z^4 - 
  4 a^6 z^4 - 4 a^8 z^4 + 3 a z^5 - 11 a^5 z^5 - 8 a^7 z^5 + 
  3 a^2 z^6 + a^4 z^6 - a^6 z^6 + a^8 z^6 + 2 a^3 z^7 + 4 a^5 z^7 + 
  2 a^7 z^7 + a^4 z^8 + a^6 z^8, 
 1/a^2 - 1/(a^3 z) - 1/(a z) + z/a^9 + z/a^7 + z/a^5 + (4 z)/a^3 + (
  3 z)/a - z^2/a^10 + (2 z^2)/a^8 + (4 z^2)/a^6 + (2 z^2)/a^4 + z^2/
  a^2 - (4 z^3)/a^9 - (2 z^3)/a^7 - (5 z^3)/a^3 - (3 z^3)/a + z^4/
  a^10 - (5 z^4)/a^8 - (9 z^4)/a^6 - (7 z^4)/a^4 - (4 z^4)/a^2 + (
  3 z^5)/a^9 - z^5/a^7 - (6 z^5)/a^5 - z^5/a^3 + z^5/a + (4 z^6)/
  a^8 + (5 z^6)/a^6 + (3 z^6)/a^4 + (2 z^6)/a^2 + (3 z^7)/a^7 + (
  5 z^7)/a^5 + (2 z^7)/a^3 + z^8/a^6 + z^8/a^4, 
 1/a^2 - 1/(a^3 z) - 1/(a z) + (2 z)/a^5 + (4 z)/a^3 + (2 z)/a + a z +
   a^3 z + 7 z^2 - z^2/a^6 + z^2/a^4 + (5 z^2)/a^2 + 4 a^2 z^2 - (
  4 z^3)/a^5 - (6 z^3)/a^3 - z^3/a - a z^3 - 2 a^3 z^3 - 15 z^4 + z^4/
  a^6 - (4 z^4)/a^4 - (13 z^4)/a^2 - 7 a^2 z^4 + (3 z^5)/a^5 + z^5/
  a^3 - (7 z^5)/a - 4 a z^5 + a^3 z^5 + 6 z^6 + (4 z^6)/a^4 + (7 z^6)/
  a^2 + 3 a^2 z^6 + (3 z^7)/a^3 + (6 z^7)/a + 3 a z^7 + z^8 + z^8/
  a^2, -1 - 3 a^2 - 3 a^4 + a/z + (3 a^3)/z + (2 a^5)/z - 4 a z - 
  14 a^3 z - 7 a^5 z + 2 a^7 z - a^9 z + 4 z^2 + 12 a^2 z^2 + 
  10 a^4 z^2 + a^6 z^2 - a^8 z^2 + 9 a z^3 + 22 a^3 z^3 + 9 a^5 z^3 - 
  3 a^7 z^3 + a^9 z^3 - 4 z^4 - 10 a^2 z^4 - 11 a^4 z^4 - 3 a^6 z^4 + 
  2 a^8 z^4 - 8 a z^5 - 18 a^3 z^5 - 7 a^5 z^5 + 3 a^7 z^5 + z^6 + 
  2 a^4 z^6 + 3 a^6 z^6 + 2 a z^7 + 5 a^3 z^7 + 3 a^5 z^7 + a^2 z^8 + 
  a^4 z^8, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/z + (3 a^5)/z + a^7/z - 
  9 a^3 z - 14 a^5 z - 3 a^7 z + 2 a^9 z + 5 a^4 z^2 + 13 a^6 z^2 + 
  5 a^8 z^2 - 2 a^10 z^2 + a^12 z^2 + 12 a^3 z^3 + 27 a^5 z^3 + 
  6 a^7 z^3 - 7 a^9 z^3 + 2 a^11 z^3 + 2 a^4 z^4 - 11 a^6 z^4 - 
  10 a^8 z^4 + 3 a^10 z^4 - 6 a^3 z^5 - 19 a^5 z^5 - 9 a^7 z^5 + 
  4 a^9 z^5 - 4 a^4 z^6 + 4 a^8 z^6 + a^3 z^7 + 4 a^5 z^7 + 
  3 a^7 z^7 + a^4 z^8 + a^6 z^8, 
 a^2 - a/z - a^3/z + 4 a z + 3 a^3 z - 4 a^5 z - 2 a^7 z + a^9 z - 
  a^2 z^2 - 5 a^4 z^2 - a^6 z^2 + a^8 z^2 - 2 a^10 z^2 - 4 a z^3 - 
  3 a^3 z^3 + 12 a^5 z^3 + 7 a^7 z^3 - 4 a^9 z^3 - 2 a^2 z^4 + 
  6 a^4 z^4 + 4 a^6 z^4 - 3 a^8 z^4 + a^10 z^4 + a z^5 - a^3 z^5 - 
  9 a^5 z^5 - 5 a^7 z^5 + 2 a^9 z^5 + a^2 z^6 - 3 a^4 z^6 - 
  2 a^6 z^6 + 2 a^8 z^6 + a^3 z^7 + 3 a^5 z^7 + 2 a^7 z^7 + a^4 z^8 + 
  a^6 z^8, -3 - 3 a^2 - a^4 + 2/(a z) + (3 a)/z + a^3/z + z/a^3 - (
  4 z)/a - 9 a z - 4 a^3 z + 7 z^2 + (2 z^2)/a^2 + 10 a^2 z^2 + 
  4 a^4 z^2 - a^6 z^2 - (2 z^3)/a^3 + (5 z^3)/a + 18 a z^3 + 
  8 a^3 z^3 - 3 a^5 z^3 - 10 z^4 - (6 z^4)/a^2 - 12 a^2 z^4 - 
  7 a^4 z^4 + a^6 z^4 + z^5/a^3 - (8 z^5)/a - 20 a z^5 - 8 a^3 z^5 + 
  3 a^5 z^5 + 2 z^6 + (3 z^6)/a^2 + 4 a^2 z^6 + 5 a^4 z^6 + (4 z^7)/
  a + 9 a z^7 + 5 a^3 z^7 + 2 z^8 + 2 a^2 z^8, -3 a^8 - 3 a^10 - 
  a^12 + (2 a^7)/z + (3 a^9)/z + a^11/z + 3 a^5 z - 6 a^7 z - 
  11 a^9 z - 2 a^11 z + 3 a^6 z^2 + 14 a^8 z^2 + 14 a^10 z^2 + 
  3 a^12 z^2 + a^3 z^3 - 6 a^5 z^3 + 6 a^7 z^3 + 22 a^9 z^3 + 
  9 a^11 z^3 + 3 a^4 z^4 - 9 a^6 z^4 - 21 a^8 z^4 - 12 a^10 z^4 - 
  3 a^12 z^4 + 6 a^5 z^5 - 10 a^7 z^5 - 26 a^9 z^5 - 10 a^11 z^5 + 
  7 a^6 z^6 + 5 a^8 z^6 - a^10 z^6 + a^12 z^6 + 6 a^7 z^7 + 
  9 a^9 z^7 + 3 a^11 z^7 + 2 a^8 z^8 + 2 a^10 z^8, 
 a^6 - a^5/z - a^7/z + 2 a z - 2 a^3 z - a^5 z + 3 a^7 z + 3 z^2 + 
  14 a^2 z^2 + 11 a^4 z^2 - (4 z^3)/a - 8 a z^3 + 2 a^3 z^3 + 
  3 a^5 z^3 - 3 a^7 z^3 - 8 z^4 + z^4/a^2 - 24 a^2 z^4 - 18 a^4 z^4 - 
  3 a^6 z^4 + (4 z^5)/a + a z^5 - 9 a^3 z^5 - 5 a^5 z^5 + a^7 z^5 + 
  6 z^6 + 11 a^2 z^6 + 7 a^4 z^6 + 2 a^6 z^6 + 4 a z^7 + 7 a^3 z^7 + 
  3 a^5 z^7 + a^2 z^8 + a^4 z^8, -a^4 + a^3/z + a^5/z + 2 a z - 
  3 a^3 z - 6 a^5 z + a^7 z + 2 a^9 z + 2 a^2 z^2 + a^4 z^2 + 
  a^6 z^2 - 2 a^10 z^2 - 3 a z^3 + 2 a^3 z^3 + 12 a^5 z^3 + 
  3 a^7 z^3 - 4 a^9 z^3 - 5 a^2 z^4 - 2 a^4 z^4 - 2 a^8 z^4 + 
  a^10 z^4 + a z^5 - 4 a^3 z^5 - 10 a^5 z^5 - 3 a^7 z^5 + 2 a^9 z^5 + 
  2 a^2 z^6 + 2 a^8 z^6 + 2 a^3 z^7 + 4 a^5 z^7 + 2 a^7 z^7 + 
  a^4 z^8 + a^6 z^8, -1 + 1/(a z) + a/z + (2 z)/a^3 - 6 a z - 
  4 a^3 z + 5 z^2 - z^2/a^4 + (2 z^2)/a^2 + 6 a^2 z^2 + 4 a^4 z^2 + 
  z^3/a^5 - (5 z^3)/a^3 - (4 z^3)/a + 12 a z^3 + 10 a^3 z^3 - 
  12 z^4 + (3 z^4)/a^4 - (6 z^4)/a^2 - 7 a^2 z^4 - 4 a^4 z^4 + (
  5 z^5)/a^3 - z^5/a - 14 a z^5 - 8 a^3 z^5 + 4 z^6 + (5 z^6)/a^2 + 
  a^4 z^6 + (3 z^7)/a + 5 a z^7 + 2 a^3 z^7 + z^8 + 
  a^2 z^8, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) - z/a^11 - z/a^9 - (2 z)/
  a^7 - (9 z)/a^5 - (7 z)/a^3 + z^2/a^12 - z^2/a^10 + (2 z^2)/a^6 + (
  2 z^3)/a^11 - (2 z^3)/a^9 + (6 z^3)/a^7 + (21 z^3)/a^5 + (11 z^3)/
  a^3 + (2 z^4)/a^10 - (4 z^4)/a^8 + (6 z^4)/a^4 + (2 z^5)/a^9 - (
  7 z^5)/a^7 - (15 z^5)/a^5 - (6 z^5)/a^3 + (2 z^6)/a^8 - (3 z^6)/
  a^6 - (5 z^6)/a^4 + (2 z^7)/a^7 + (3 z^7)/a^5 + z^7/a^3 + z^8/a^6 + 
  z^8/a^4, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) + z/a^9 - (5 z)/a^5 - (
  2 z)/a^3 + (2 z)/a - z^2/a^10 + z^2/a^8 + (3 z^2)/a^6 + (4 z^2)/
  a^4 + (3 z^2)/a^2 - (4 z^3)/a^9 + (8 z^3)/a^5 + z^3/a^3 - (3 z^3)/
  a + z^4/a^10 - (5 z^4)/a^8 - (7 z^4)/a^6 - (6 z^4)/a^4 - (5 z^4)/
  a^2 + (3 z^5)/a^9 - (2 z^5)/a^7 - (9 z^5)/a^5 - (3 z^5)/a^3 + z^5/
  a + (4 z^6)/a^8 + (4 z^6)/a^6 + (2 z^6)/a^4 + (2 z^6)/a^2 + (3 z^7)/
  a^7 + (5 z^7)/a^5 + (2 z^7)/a^3 + z^8/a^6 + z^8/a^4, -1 + 1/(a z) + 
  a/z + z/a^5 - (4 z)/a^3 - (10 z)/a - 4 a z + a^3 z + 3 z^2 - (
  2 z^2)/a^6 + z^2/a^4 + (3 z^2)/a^2 + 3 a^2 z^2 - (4 z^3)/a^5 + (
  8 z^3)/a^3 + (21 z^3)/a + 6 a z^3 - 3 a^3 z^3 - 2 z^4 + z^4/a^6 - (
  3 z^4)/a^4 - 6 a^2 z^4 + (2 z^5)/a^5 - (5 z^5)/a^3 - (14 z^5)/a - 
  6 a z^5 + a^3 z^5 - z^6 + (2 z^6)/a^4 - z^6/a^2 + 2 a^2 z^6 + (
  2 z^7)/a^3 + (4 z^7)/a + 2 a z^7 + z^8 + z^8/a^2, -a^4 + a^3/z + 
  a^5/z - 4 a z - 10 a^3 z - 5 a^5 z - a^9 z + 3 z^2 + 4 a^2 z^2 + 
  4 a^4 z^2 + a^6 z^2 - 2 a^8 z^2 + 11 a z^3 + 20 a^3 z^3 + 
  7 a^5 z^3 - a^7 z^3 + a^9 z^3 - 4 z^4 - 3 a^2 z^4 - 3 a^4 z^4 - 
  2 a^6 z^4 + 2 a^8 z^4 - 9 a z^5 - 16 a^3 z^5 - 5 a^5 z^5 + 
  2 a^7 z^5 + z^6 - 2 a^2 z^6 - a^4 z^6 + 2 a^6 z^6 + 2 a z^7 + 
  4 a^3 z^7 + 2 a^5 z^7 + a^2 z^8 + a^4 z^8, -1 + 1/(a z) + a/z - (
  6 z)/a - 8 a z + 2 a^3 z + 4 a^5 z - 2 z^2 + 2 a^2 z^2 + a^4 z^2 - 
  2 a^6 z^2 + a^8 z^2 + (11 z^3)/a + 19 a z^3 - 2 a^3 z^3 - 
  8 a^5 z^3 + 2 a^7 z^3 + 7 z^4 - 2 a^2 z^4 - 6 a^4 z^4 + 
  3 a^6 z^4 - (6 z^5)/a - 14 a z^5 - 4 a^3 z^5 + 4 a^5 z^5 - 5 z^6 - 
  2 a^2 z^6 + 3 a^4 z^6 + z^7/a + 3 a z^7 + 2 a^3 z^7 + z^8 + 
  a^2 z^8, -a^4 + a^3/z + a^5/z - 5 a z - 11 a^3 z - 4 a^5 z + a^7 z -
   a^9 z + 4 z^2 + 7 a^2 z^2 + 10 a^4 z^2 + 6 a^6 z^2 - a^8 z^2 + 
  10 a z^3 + 17 a^3 z^3 + 4 a^5 z^3 - 2 a^7 z^3 + a^9 z^3 - 4 z^4 - 
  8 a^2 z^4 - 13 a^4 z^4 - 7 a^6 z^4 + 2 a^8 z^4 - 8 a z^5 - 
  16 a^3 z^5 - 5 a^5 z^5 + 3 a^7 z^5 + z^6 + 3 a^4 z^6 + 4 a^6 z^6 + 
  2 a z^7 + 5 a^3 z^7 + 3 a^5 z^7 + a^2 z^8 + a^4 z^8, -1 + 1/(a z) + 
  a/z + z/a^5 - (2 z)/a^3 - (6 z)/a - 2 a z + a^3 z + 5 z^2 - z^2/
  a^6 + (3 z^2)/a^4 + (6 z^2)/a^2 + 3 a^2 z^2 - (3 z^3)/a^5 + (4 z^3)/
  a^3 + (12 z^3)/a + 3 a z^3 - 2 a^3 z^3 - 11 z^4 + z^4/a^6 - (6 z^4)/
  a^4 - (12 z^4)/a^2 - 6 a^2 z^4 + (3 z^5)/a^5 - (6 z^5)/a^3 - (
  17 z^5)/a - 7 a z^5 + a^3 z^5 + 3 z^6 + (5 z^6)/a^4 + (5 z^6)/a^2 + 
  3 a^2 z^6 + (5 z^7)/a^3 + (9 z^7)/a + 4 a z^7 + 2 z^8 + (2 z^8)/
  a^2, -7 a^6 - 14 a^8 - 10 a^10 - 2 a^12 + (2 a^6)/z^2 + (5 a^8)/
  z^2 + (4 a^10)/z^2 + a^12/z^2 - (5 a^7)/z - (9 a^9)/z - (5 a^11)/z -
   a^13/z + 11 a^7 z + 21 a^9 z + 13 a^11 z + 3 a^13 z - a^4 z^2 + 
  11 a^6 z^2 + 23 a^8 z^2 + 14 a^10 z^2 + 3 a^12 z^2 - 2 a^5 z^3 - 
  10 a^7 z^3 - 16 a^9 z^3 - 11 a^11 z^3 - 3 a^13 z^3 + a^4 z^4 - 
  11 a^6 z^4 - 24 a^8 z^4 - 16 a^10 z^4 - 4 a^12 z^4 + 3 a^5 z^5 - 
  3 a^9 z^5 + a^11 z^5 + a^13 z^5 + 6 a^6 z^6 + 10 a^8 z^6 + 
  6 a^10 z^6 + 2 a^12 z^6 + 4 a^7 z^7 + 6 a^9 z^7 + 2 a^11 z^7 + 
  a^8 z^8 + a^10 z^8, -14 - 2/a^4 - 10/a^2 - 7 a^2 + 5/z^2 + 1/(
  a^4 z^2) + 4/(a^2 z^2) + (2 a^2)/z^2 - 1/(a^5 z) - 5/(a^3 z) - 9/(
  a z) - (5 a)/z + (3 z)/a^5 + (13 z)/a^3 + (21 z)/a + 11 a z + 
  19 z^2 + (6 z^2)/a^4 + (16 z^2)/a^2 + 9 a^2 z^2 + z^3/a^7 - (6 z^3)/
  a^5 - (12 z^3)/a^3 - (11 z^3)/a - 6 a z^3 - 12 z^4 + (3 z^4)/a^6 - (
  11 z^4)/a^4 - (21 z^4)/a^2 - 5 a^2 z^4 + (6 z^5)/a^5 - z^5/a^3 - (
  8 z^5)/a - a z^5 + z^6 + (7 z^6)/a^4 + (7 z^6)/a^2 + a^2 z^6 + (
  4 z^7)/a^3 + (5 z^7)/a + a z^7 + z^8 + z^8/a^2, 
 3 + 5 a^2 + 3 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/z + (
  2 a^3)/z - 3 a z - 3 a^3 z - 4 z^2 + (3 z^2)/a^4 + (2 z^2)/a^2 - 
  6 a^2 z^2 - 3 a^4 z^2 - (2 z^3)/a^5 + (5 z^3)/a^3 + (7 z^3)/a + 
  4 z^4 - (8 z^4)/a^4 - (5 z^4)/a^2 + 2 a^2 z^4 + a^4 z^4 + z^5/
  a^5 - (8 z^5)/a^3 - (9 z^5)/a + a z^5 + a^3 z^5 - z^6 + (3 z^6)/
  a^4 + z^6/a^2 + a^2 z^6 + (3 z^7)/a^3 + (4 z^7)/a + a z^7 + z^8 + 
  z^8/a^2, 1 + a^2 + a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/z + (
  2 a^3)/z - a z - a^3 z + 12 z^2 + (4 z^2)/a^2 + 12 a^2 z^2 + 
  4 a^4 z^2 - (3 z^3)/a^3 - (2 z^3)/a + 4 a z^3 + 2 a^3 z^3 - 
  a^5 z^3 - 25 z^4 + z^4/a^4 - (9 z^4)/a^2 - 23 a^2 z^4 - 
  8 a^4 z^4 + (4 z^5)/a^3 - (4 z^5)/a - 17 a z^5 - 8 a^3 z^5 + 
  a^5 z^5 + 11 z^6 + (7 z^6)/a^2 + 8 a^2 z^6 + 4 a^4 z^6 + (6 z^7)/
  a + 11 a z^7 + 5 a^3 z^7 + 2 z^8 + 2 a^2 z^8, -4 a^2 - 9 a^4 - 
  8 a^6 - 2 a^8 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (
  2 a^5)/z + 3 a^3 z + 5 a^5 z + 3 a^7 z + a^9 z - z^2 + 7 a^2 z^2 + 
  24 a^4 z^2 + 21 a^6 z^2 + 5 a^8 z^2 - 3 a z^3 - a^3 z^3 - 
  4 a^7 z^3 - 2 a^9 z^3 + z^4 - 8 a^2 z^4 - 26 a^4 z^4 - 24 a^6 z^4 - 
  7 a^8 z^4 + 3 a z^5 - 3 a^3 z^5 - 10 a^5 z^5 - 3 a^7 z^5 + 
  a^9 z^5 + 5 a^2 z^6 + 10 a^4 z^6 + 8 a^6 z^6 + 3 a^8 z^6 + 
  4 a^3 z^7 + 7 a^5 z^7 + 3 a^7 z^7 + a^4 z^8 + a^6 z^8, -8 + 1/a^4 - 
  3/a^2 - 5 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/
  z + (6 z)/a + 6 a z + 11 z^2 - (2 z^2)/a^6 + (5 z^2)/a^2 + 
  8 a^2 z^2 + z^3/a^7 - (3 z^3)/a^5 + z^3/a^3 + (2 z^3)/a - 3 a z^3 - 
  6 z^4 + (3 z^4)/a^6 - (4 z^4)/a^4 - (8 z^4)/a^2 - 5 a^2 z^4 + (
  4 z^5)/a^5 - (4 z^5)/a^3 - (10 z^5)/a - 2 a z^5 - z^6 + (4 z^6)/
  a^4 + (2 z^6)/a^2 + a^2 z^6 + (3 z^7)/a^3 + (4 z^7)/a + a z^7 + 
  z^8 + z^8/a^2, -8 - 5/a^2 - 3 a^2 + a^4 + 2/z^2 + 1/(a^2 z^2) + a^2/
  z^2 - 2/(a z) - (2 a)/z + (6 z)/a + 6 a z + 12 z^2 + (5 z^2)/a^4 + (
  11 z^2)/a^2 + 4 a^2 z^2 - 2 a^4 z^2 - (2 z^3)/a^5 + (2 z^3)/a^3 - 
  z^3/a - 7 a z^3 - 2 a^3 z^3 - 10 z^4 - (8 z^4)/a^4 - (13 z^4)/a^2 - 
  4 a^2 z^4 + a^4 z^4 + z^5/a^5 - (6 z^5)/a^3 - (7 z^5)/a + 2 a z^5 + 
  2 a^3 z^5 + 4 z^6 + (3 z^6)/a^4 + (4 z^6)/a^2 + 3 a^2 z^6 + (3 z^7)/
  a^3 + (5 z^7)/a + 2 a z^7 + z^8 + z^8/a^2, -9 - 2/a^4 - 8/a^2 - 
  4 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + z/
  a^5 + (3 z)/a^3 + (5 z)/a + 3 a z + 22 z^2 - z^2/a^6 + (6 z^2)/
  a^4 + (23 z^2)/a^2 + 6 a^2 z^2 + z^3/a^7 - (4 z^3)/a^5 - (5 z^3)/
  a^3 + (3 z^3)/a + 3 a z^3 - 19 z^4 + (3 z^4)/a^6 - (9 z^4)/a^4 - (
  27 z^4)/a^2 - 4 a^2 z^4 + (5 z^5)/a^5 - (3 z^5)/a^3 - (14 z^5)/a - 
  6 a z^5 + 3 z^6 + (6 z^6)/a^4 + (8 z^6)/a^2 + a^2 z^6 + (4 z^7)/
  a^3 + (6 z^7)/a + 2 a z^7 + z^8 + z^8/a^2, 
 1 - 5/a^6 - 8/a^4 - 3/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(
  a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (6 z)/a^5 + (6 z)/a^3 + 3 z^2 - 
  z^2/a^8 + (10 z^2)/a^6 + (17 z^2)/a^4 + (9 z^2)/a^2 - (2 z^3)/
  a^7 - (4 z^3)/a^5 + (2 z^3)/a^3 + (3 z^3)/a - a z^3 - 8 z^4 + z^4/
  a^8 - (10 z^4)/a^6 - (21 z^4)/a^4 - (18 z^4)/a^2 + (3 z^5)/a^7 - (
  3 z^5)/a^5 - (16 z^5)/a^3 - (9 z^5)/a + a z^5 + 4 z^6 + (6 z^6)/
  a^6 + (8 z^6)/a^4 + (6 z^6)/a^2 + (5 z^7)/a^5 + (10 z^7)/a^3 + (
  5 z^7)/a + (2 z^8)/a^4 + (2 z^8)/a^2, 
 1 - 3 a^2 - 10 a^4 - 9 a^6 - 2 a^8 + a^2/z^2 + (2 a^4)/z^2 + a^6/
  z^2 - (2 a^3)/z - (2 a^5)/z + 5 a^3 z + 7 a^5 z + 3 a^7 z + a^9 z - 
  2 z^2 + 3 a^2 z^2 + 20 a^4 z^2 + 20 a^6 z^2 + 5 a^8 z^2 - 2 a z^3 - 
  a^3 z^3 - 2 a^5 z^3 - 5 a^7 z^3 - 2 a^9 z^3 + z^4 - 3 a^2 z^4 - 
  19 a^4 z^4 - 22 a^6 z^4 - 7 a^8 z^4 + 2 a z^5 - 2 a^3 z^5 - 
  8 a^5 z^5 - 3 a^7 z^5 + a^9 z^5 + 3 a^2 z^6 + 7 a^4 z^6 + 
  7 a^6 z^6 + 3 a^8 z^6 + 3 a^3 z^7 + 6 a^5 z^7 + 3 a^7 z^7 + 
  a^4 z^8 + a^6 z^8, -5 - 2/a^2 - 6 a^2 - 2 a^4 + 2/z^2 + 1/(
  a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + z/a + 3 a z + 3 a^3 z + 
  a^5 z + 17 z^2 + (5 z^2)/a^2 + 17 a^2 z^2 + 5 a^4 z^2 - (2 z^3)/
  a^3 + 3 a z^3 - a^3 z^3 - 2 a^5 z^3 - 28 z^4 + z^4/a^4 - (11 z^4)/
  a^2 - 22 a^2 z^4 - 6 a^4 z^4 + (4 z^5)/a^3 - (7 z^5)/a - 17 a z^5 - 
  5 a^3 z^5 + a^5 z^5 + 12 z^6 + (8 z^6)/a^2 + 7 a^2 z^6 + 
  3 a^4 z^6 + (7 z^7)/a + 11 a z^7 + 4 a^3 z^7 + 2 z^8 + 
  2 a^2 z^8, -11 - 4/a^4 - 12/a^2 - 4 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/
  z^2 - 2/(a z) - (2 a)/z + (2 z)/a^5 + (6 z)/a^3 + (6 z)/a + 2 a z + 
  26 z^2 + (10 z^2)/a^4 + (30 z^2)/a^2 + 6 a^2 z^2 + z^3/a^7 - (
  5 z^3)/a^5 - (7 z^3)/a^3 + (3 z^3)/a + 4 a z^3 - 22 z^4 + (3 z^4)/
  a^6 - (14 z^4)/a^4 - (35 z^4)/a^2 - 4 a^2 z^4 + (6 z^5)/a^5 - (
  4 z^5)/a^3 - (16 z^5)/a - 6 a z^5 + 4 z^6 + (8 z^6)/a^4 + (11 z^6)/
  a^2 + a^2 z^6 + (5 z^7)/a^3 + (7 z^7)/a + 2 a z^7 + z^8 + z^8/a^2, 
 8 a^2 + 15 a^4 + 8 a^6 + a/z^3 + (3 a^3)/z^3 + (3 a^5)/z^3 + a^7/
  z^3 - (3 a^2)/z^2 - (6 a^4)/z^2 - (3 a^6)/z^2 - (4 a)/z - (9 a^3)/
  z - (9 a^5)/z - (4 a^7)/z + 6 a z + 14 a^3 z + 14 a^5 z + 6 a^7 z - 
  6 a^2 z^2 - 12 a^4 z^2 - 6 a^6 z^2 - (4 z^3)/a - 4 a z^3 - 
  8 a^3 z^3 - 12 a^5 z^3 - 4 a^7 z^3 - 8 z^4 + z^4/a^2 - 7 a^2 z^4 + 
  2 a^4 z^4 + (4 z^5)/a - 2 a z^5 - 4 a^3 z^5 + 3 a^5 z^5 + a^7 z^5 + 
  6 z^6 + 6 a^2 z^6 + a^4 z^6 + a^6 z^6 + 4 a z^7 + 5 a^3 z^7 + 
  a^5 z^7 + a^2 z^8 + a^4 z^8, 
 a^6 - 3 a^8 - 5 a^10 - 2 a^12 - a^5/z + (2 a^9)/z + a^11/z + 
  3 a^5 z - a^7 z - 5 a^9 z - a^11 z + 9 a^8 z^2 + 10 a^10 z^2 + 
  a^12 z^2 - 4 a^5 z^3 + 4 a^7 z^3 + 9 a^9 z^3 + a^11 z^3 - 
  3 a^6 z^4 - 8 a^8 z^4 - 5 a^10 z^4 + a^5 z^5 - 4 a^7 z^5 - 
  5 a^9 z^5 + a^6 z^6 + 2 a^8 z^6 + a^10 z^6 + a^7 z^7 + a^9 z^7, 
 a^2 - 3 a^4 - 5 a^6 - 2 a^8 - a/z + (2 a^5)/z + a^7/z + 3 a z + 
  2 a^3 z - 3 a^5 z - 2 a^7 z + 6 a^4 z^2 + 13 a^6 z^2 + 7 a^8 z^2 - 
  4 a^3 z^3 + 4 a^7 z^3 + a^2 z^4 - 6 a^4 z^4 - 12 a^6 z^4 - 
  5 a^8 z^4 + 2 a^3 z^5 - 2 a^5 z^5 - 4 a^7 z^5 + 2 a^4 z^6 + 
  3 a^6 z^6 + a^8 z^6 + a^5 z^7 + a^7 z^7, 
 a^2 - 3 a^4 - 5 a^6 - 2 a^8 - a/z + (2 a^5)/z + a^7/z + a z - 
  2 a^3 z - 5 a^5 z - 2 a^7 z + 7 a^4 z^2 + 13 a^6 z^2 + 6 a^8 z^2 + 
  a^3 z^3 + 7 a^5 z^3 + 6 a^7 z^3 - 5 a^4 z^4 - 10 a^6 z^4 - 
  5 a^8 z^4 - 5 a^5 z^5 - 5 a^7 z^5 + a^4 z^6 + 2 a^6 z^6 + a^8 z^6 + 
  a^5 z^7 + a^7 z^7, -5 a^8 - 5 a^10 + a^14 + (3 a^7)/z + (5 a^9)/
  z + (2 a^11)/z - 11 a^7 z - 15 a^9 z - 4 a^11 z + 10 a^8 z^2 + 
  10 a^10 z^2 + 15 a^7 z^3 + 16 a^9 z^3 + a^11 z^3 - 6 a^8 z^4 - 
  6 a^10 z^4 - 7 a^7 z^5 - 7 a^9 z^5 + a^8 z^6 + a^10 z^6 + a^7 z^7 + 
  a^9 z^7, -5 a^4 - 5 a^6 + a^10 + (3 a^3)/z + (5 a^5)/z + (2 a^7)/
  z - 8 a^3 z - 13 a^5 z - 5 a^7 z + 8 a^4 z^2 + 12 a^6 z^2 + 
  a^8 z^2 - 3 a^10 z^2 + 3 a^3 z^3 + 13 a^5 z^3 + 8 a^7 z^3 - 
  2 a^9 z^3 - 4 a^4 z^4 - 7 a^6 z^4 - 2 a^8 z^4 + a^10 z^4 - 
  5 a^5 z^5 - 4 a^7 z^5 + a^9 z^5 + a^4 z^6 + 2 a^6 z^6 + a^8 z^6 + 
  a^5 z^7 + a^7 z^7, -5 a^4 - 5 a^6 + a^10 + (3 a^3)/z + (5 a^5)/z + (
  2 a^7)/z - 6 a^3 z - 9 a^5 z - 3 a^7 z + 6 a^4 z^2 + 7 a^6 z^2 - 
  a^8 z^2 - 2 a^10 z^2 + 3 a^3 z^3 + 7 a^5 z^3 + a^7 z^3 - 
  3 a^9 z^3 - 2 a^4 z^4 - 5 a^6 z^4 - 2 a^8 z^4 + a^10 z^4 - 
  2 a^5 z^5 + 2 a^9 z^5 + a^4 z^6 + 3 a^6 z^6 + 2 a^8 z^6 + a^5 z^7 + 
  a^7 z^7, a^6 - 3 a^8 - 5 a^10 - 2 a^12 - a^5/z + (2 a^9)/z + a^11/
  z + 4 a^5 z - 6 a^9 z - 2 a^11 z - a^6 z^2 + 7 a^8 z^2 + 
  11 a^10 z^2 + 3 a^12 z^2 - 4 a^5 z^3 + 5 a^9 z^3 + a^11 z^3 - 
  2 a^6 z^4 - 8 a^8 z^4 - 6 a^10 z^4 + a^5 z^5 - 2 a^7 z^5 - 
  2 a^9 z^5 + a^11 z^5 + a^6 z^6 + 3 a^8 z^6 + 2 a^10 z^6 + a^7 z^7 + 
  a^9 z^7, a^2 - 3 a^4 - 5 a^6 - 2 a^8 - a/z + (2 a^5)/z + a^7/z + 
  3 a z + 4 a^3 z + a^5 z + a^2 z^2 + 6 a^4 z^2 + 8 a^6 z^2 + 
  3 a^8 z^2 - 3 a z^3 - 8 a^3 z^3 - 4 a^5 z^3 + a^7 z^3 - 5 a^2 z^4 - 
  9 a^4 z^4 - 4 a^6 z^4 + a z^5 + a^3 z^5 + a^5 z^5 + a^7 z^5 + 
  2 a^2 z^6 + 4 a^4 z^6 + 2 a^6 z^6 + a^3 z^7 + a^5 z^7, 
 a^6 - 3 a^8 - 5 a^10 - 2 a^12 - a^5/z + (2 a^9)/z + a^11/z + 
  5 a^5 z + a^7 z - 7 a^9 z - 3 a^11 z - a^6 z^2 + 8 a^8 z^2 + 
  15 a^10 z^2 + 6 a^12 z^2 - 5 a^5 z^3 - a^7 z^3 + 10 a^9 z^3 + 
  6 a^11 z^3 - 6 a^8 z^4 - 11 a^10 z^4 - 5 a^12 z^4 + a^5 z^5 - 
  6 a^9 z^5 - 5 a^11 z^5 + a^8 z^6 + 2 a^10 z^6 + a^12 z^6 + a^9 z^7 +
   a^11 z^7, -a^4 + a^3/z + a^5/z + z/a + 2 a z - 3 a^3 z - 4 a^5 z - 
  z^2/a^2 + 2 a^2 z^2 + a^4 z^2 - (5 z^3)/a - 6 a z^3 + 2 a^3 z^3 + 
  3 a^5 z^3 - 4 z^4 + z^4/a^2 - 5 a^2 z^4 + (3 z^5)/a + 3 a z^5 + 
  3 z^6 + 4 a^2 z^6 + a^4 z^6 + a z^7 + a^3 z^7, -a^4 + a^3/z + a^5/
  z + 2 a z - a^3 z - 4 a^5 z - a^7 z + 3 a^2 z^2 + 4 a^4 z^2 + 
  2 a^6 z^2 + a^8 z^2 - 3 a z^3 - 2 a^3 z^3 + 4 a^5 z^3 + 3 a^7 z^3 - 
  6 a^2 z^4 - 7 a^4 z^4 - a^6 z^4 + a z^5 - a^3 z^5 - 2 a^5 z^5 + 
  2 a^2 z^6 + 3 a^4 z^6 + a^6 z^6 + a^3 z^7 + a^5 z^7, -5 + 1/a^6 - 5/
  a^2 + 2/(a^3 z) + 5/(a z) + (3 a)/z + z/a^5 - (3 z)/a^3 - (16 z)/
  a - 12 a z + 12 z^2 - (3 z^2)/a^6 - (2 z^2)/a^4 + (13 z^2)/a^2 - (
  3 z^3)/a^5 + z^3/a^3 + (19 z^3)/a + 15 a z^3 - 7 z^4 + z^4/a^6 + 
  z^4/a^4 - (7 z^4)/a^2 + z^5/a^5 - (8 z^5)/a - 7 a z^5 + z^6 + z^6/
  a^2 + z^7/a + a z^7, 
 a^2 - a/z - a^3/z - 2 a z - 4 a^3 z - a^5 z + a^7 z + z^2 + 
  3 a^2 z^2 + 7 a^4 z^2 + 5 a^6 z^2 + 3 a z^3 + 6 a^3 z^3 - 
  3 a^7 z^3 - 2 a^2 z^4 - 9 a^4 z^4 - 7 a^6 z^4 - 3 a^3 z^5 - 
  2 a^5 z^5 + a^7 z^5 + a^2 z^6 + 3 a^4 z^6 + 2 a^6 z^6 + a^3 z^7 + 
  a^5 z^7, -3 - 1/a^4 - 3/a^2 + 1/(a^3 z) + 3/(a z) + (2 a)/z - (4 z)/
  a^3 - (9 z)/a - 4 a z + a^3 z + 5 z^2 + (6 z^2)/a^4 + (10 z^2)/a^2 +
   a^2 z^2 + (7 z^3)/a^3 + (9 z^3)/a + 2 a z^3 - 4 z^4 - (5 z^4)/
  a^4 - (9 z^4)/a^2 - (5 z^5)/a^3 - (5 z^5)/a + z^6 + z^6/a^4 + (
  2 z^6)/a^2 + z^7/a^3 + z^7/a, -3 a^8 - 3 a^10 - a^12 + (2 a^7)/z + (
  3 a^9)/z + a^11/z - 11 a^7 z - 12 a^9 z - a^11 z + 9 a^8 z^2 + 
  9 a^10 z^2 + 15 a^7 z^3 + 15 a^9 z^3 - 6 a^8 z^4 - 6 a^10 z^4 - 
  7 a^7 z^5 - 7 a^9 z^5 + a^8 z^6 + a^10 z^6 + a^7 z^7 + 
  a^9 z^7, -1 - 3 a^2 - 3 a^4 + a/z + (3 a^3)/z + (2 a^5)/z - 2 a z - 
  11 a^3 z - 6 a^5 z + 3 a^7 z + z^2 + 8 a^2 z^2 + 8 a^4 z^2 + 
  a^6 z^2 + 2 a z^3 + 12 a^3 z^3 + 6 a^5 z^3 - 4 a^7 z^3 - 
  4 a^2 z^4 - 7 a^4 z^4 - 3 a^6 z^4 - 5 a^3 z^5 - 4 a^5 z^5 + 
  a^7 z^5 + a^2 z^6 + 2 a^4 z^6 + a^6 z^6 + a^3 z^7 + 
  a^5 z^7, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/z + (3 a^5)/z + a^7/z - 
  6 a^3 z - 9 a^5 z - 2 a^7 z + a^9 z + 4 a^4 z^2 + 9 a^6 z^2 + 
  3 a^8 z^2 - 2 a^10 z^2 + 3 a^3 z^3 + 9 a^5 z^3 + 2 a^7 z^3 - 
  4 a^9 z^3 - 2 a^4 z^4 - 7 a^6 z^4 - 4 a^8 z^4 + a^10 z^4 - 
  3 a^5 z^5 - a^7 z^5 + 2 a^9 z^5 + a^4 z^6 + 3 a^6 z^6 + 2 a^8 z^6 + 
  a^5 z^7 + a^7 z^7, -a^8 + a^7/z + a^9/z - 11 a^7 z - 9 a^9 z - 
  a^11 z - 3 a^13 z + 8 a^8 z^2 + 8 a^10 z^2 + 15 a^7 z^3 + 
  14 a^9 z^3 + a^13 z^3 - 6 a^8 z^4 - 6 a^10 z^4 - 7 a^7 z^5 - 
  7 a^9 z^5 + a^8 z^6 + a^10 z^6 + a^7 z^7 + a^9 z^7, -a^8 + a^7/z + 
  a^9/z + 5 a^5 z - a^7 z - a^9 z + 5 a^11 z - 5 a^5 z^3 - 
  5 a^11 z^3 + a^5 z^5 + a^11 z^5, -(2/a^8) - 10/a^6 - 14/a^4 - 7/
  a^2 + 1/(a^8 z^2) + 4/(a^6 z^2) + 5/(a^4 z^2) + 2/(a^2 z^2) - 1/(
  a^9 z) - 5/(a^7 z) - 9/(a^5 z) - 5/(a^3 z) + (3 z)/a^9 + (13 z)/
  a^7 + (21 z)/a^5 + (11 z)/a^3 + (3 z^2)/a^8 + (15 z^2)/a^6 + (
  18 z^2)/a^4 + (6 z^2)/a^2 - (3 z^3)/a^9 - (15 z^3)/a^7 - (18 z^3)/
  a^5 - (6 z^3)/a^3 - (5 z^4)/a^8 - (16 z^4)/a^6 - (11 z^4)/a^4 + z^5/
  a^9 + (3 z^5)/a^7 + (5 z^5)/a^5 + (3 z^5)/a^3 + (2 z^6)/a^8 + (
  6 z^6)/a^6 + (4 z^6)/a^4 + z^7/a^7 + z^7/a^5, -14 - 7/a^2 - 
  10 a^2 - 2 a^4 + 5/z^2 + 2/(a^2 z^2) + (4 a^2)/z^2 + a^4/z^2 - 5/(
  a z) - (9 a)/z - (5 a^3)/z - a^5/z + (11 z)/a + 21 a z + 13 a^3 z + 
  3 a^5 z + 18 z^2 + (10 z^2)/a^2 + 11 a^2 z^2 + 3 a^4 z^2 - (7 z^3)/
  a - 13 a z^3 - 10 a^3 z^3 - 4 a^5 z^3 - 8 z^4 - (6 z^4)/a^2 - 
  6 a^2 z^4 - 4 a^4 z^4 + z^5/a + 2 a z^5 + 2 a^3 z^5 + a^5 z^5 + 
  z^6 + z^6/a^2 + a^2 z^6 + a^4 z^6, -2 - 10 a^2 - 14 a^4 - 7 a^6 + 1/
  z^2 + (4 a^2)/z^2 + (5 a^4)/z^2 + (2 a^6)/z^2 - 1/(a z) - (5 a)/
  z - (9 a^3)/z - (5 a^5)/z + (3 z)/a + 13 a z + 21 a^3 z + 
  11 a^5 z + 2 z^2 + 16 a^2 z^2 + 23 a^4 z^2 + 9 a^6 z^2 - 12 a z^3 - 
  17 a^3 z^3 - 5 a^5 z^3 + z^4 - 14 a^2 z^4 - 20 a^4 z^4 - 
  5 a^6 z^4 + 4 a z^5 + 2 a^3 z^5 - 2 a^5 z^5 + 4 a^2 z^6 + 
  5 a^4 z^6 + a^6 z^6 + a^3 z^7 + a^5 z^7, -4 a^2 - 9 a^4 - 8 a^6 - 
  2 a^8 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z + 
  3 a^3 z + 5 a^5 z + 3 a^7 z + a^9 z + 7 a^2 z^2 + 18 a^4 z^2 + 
  13 a^6 z^2 + 2 a^8 z^2 + 2 a^3 z^3 - a^5 z^3 - 3 a^7 z^3 - 
  5 a^2 z^4 - 14 a^4 z^4 - 9 a^6 z^4 - 4 a^3 z^5 - 3 a^5 z^5 + 
  a^7 z^5 + a^2 z^6 + 3 a^4 z^6 + 2 a^6 z^6 + a^3 z^7 + a^5 z^7, -9 - 
  4/a^2 - 8 a^2 - 2 a^4 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (
  2 a)/z + (3 z)/a + 5 a z + 3 a^3 z + a^5 z + 14 z^2 + (3 z^2)/a^2 + 
  17 a^2 z^2 + 6 a^4 z^2 - z^3/a - 2 a z^3 - 4 a^3 z^3 - 3 a^5 z^3 - 
  7 z^4 - 14 a^2 z^4 - 7 a^4 z^4 + z^5/a - a z^5 - a^3 z^5 + 
  a^5 z^5 + 2 z^6 + 4 a^2 z^6 + 2 a^4 z^6 + a z^7 + a^3 z^7, -5 - 2/
  a^2 - 6 a^2 - 2 a^4 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (
  2 a)/z + z/a + 3 a z + 3 a^3 z + a^5 z + 9 z^2 + z^2/a^2 + 
  13 a^2 z^2 + 5 a^4 z^2 + z^3/a + 2 a z^3 - 2 a^3 z^3 - 3 a^5 z^3 - 
  4 z^4 - 11 a^2 z^4 - 7 a^4 z^4 - 3 a z^5 - 2 a^3 z^5 + a^5 z^5 + 
  z^6 + 3 a^2 z^6 + 2 a^4 z^6 + a z^7 + a^3 z^7, -1 - 7 a^2 - 
  10 a^4 - 5 a^6 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (
  2 a^5)/z + z/a + 3 a z + 7 a^3 z + 5 a^5 z + 3 z^2 + 15 a^2 z^2 + 
  20 a^4 z^2 + 8 a^6 z^2 - 5 a z^3 - 6 a^3 z^3 - a^5 z^3 - 
  12 a^2 z^4 - 17 a^4 z^4 - 5 a^6 z^4 + 2 a z^5 - a^3 z^5 - 
  3 a^5 z^5 + 3 a^2 z^6 + 4 a^4 z^6 + a^6 z^6 + a^3 z^7 + 
  a^5 z^7, -11 - 4/a^2 - 12 a^2 - 4 a^4 + 2/z^2 + 1/(a^2 z^2) + a^2/
  z^2 - 2/(a z) - (2 a)/z + (2 z)/a + 6 a z + 6 a^3 z + 2 a^5 z + 
  22 z^2 + (6 z^2)/a^2 + 22 a^2 z^2 + 6 a^4 z^2 + (4 z^3)/a + 
  2 a z^3 - 6 a^3 z^3 - 4 a^5 z^3 - 13 z^4 - (5 z^4)/a^2 - 
  13 a^2 z^4 - 5 a^4 z^4 - (5 z^5)/a - 5 a z^5 + a^3 z^5 + a^5 z^5 + 
  2 z^6 + z^6/a^2 + 2 a^2 z^6 + a^4 z^6 + z^7/a + a z^7, -1 - 5/a^6 - 
  10/a^4 - 7/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(a^2 z^2) - 2/(
  a^5 z) - 2/(a^3 z) + (5 z)/a^5 + (7 z)/a^3 + (3 z)/a + a z + 
  5 z^2 + (6 z^2)/a^6 + (18 z^2)/a^4 + (17 z^2)/a^2 - (3 z^3)/a^5 - (
  8 z^3)/a^3 - (7 z^3)/a - 2 a z^3 - 8 z^4 - (13 z^4)/a^4 - (21 z^4)/
  a^2 + (3 z^5)/a^5 + z^5/a^3 - z^5/a + a z^5 + 3 z^6 + (5 z^6)/
  a^4 + (8 z^6)/a^2 + (2 z^7)/a^3 + (2 z^7)/a, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z - (2 z)/a - 3 a z -
   a^3 z + 5 z^2 + (2 z^2)/a^2 + 5 a^2 z^2 + 2 a^4 z^2 - z^3/a^3 + (
  8 z^3)/a + 26 a z^3 + 23 a^3 z^3 + 6 a^5 z^3 - 7 z^4 - (6 z^4)/
  a^2 - 5 a^2 z^4 - 10 a^4 z^4 - 6 a^6 z^4 + z^5/a^3 - (12 z^5)/a - 
  37 a z^5 - 40 a^3 z^5 - 15 a^5 z^5 + a^7 z^5 - 3 z^6 + (4 z^6)/
  a^2 - 15 a^2 z^6 - 3 a^4 z^6 + 5 a^6 z^6 + (7 z^7)/a + 15 a z^7 + 
  17 a^3 z^7 + 9 a^5 z^7 + 6 z^8 + 13 a^2 z^8 + 7 a^4 z^8 + 2 a z^9 + 
  2 a^3 z^9, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z + a z - a^3 z - 
  4 a^5 z - 2 a^7 z - 3 a^2 z^2 - 4 a^4 z^2 + 2 a^6 z^2 + 3 a^8 z^2 + 
  9 a z^3 + 22 a^3 z^3 + 20 a^5 z^3 + 5 a^7 z^3 - 2 a^9 z^3 - 2 z^4 + 
  9 a^2 z^4 + 12 a^4 z^4 - 9 a^6 z^4 - 9 a^8 z^4 + a^10 z^4 - 
  12 a z^5 - 27 a^3 z^5 - 30 a^5 z^5 - 11 a^7 z^5 + 4 a^9 z^5 + z^6 - 
  13 a^2 z^6 - 23 a^4 z^6 - a^6 z^6 + 8 a^8 z^6 + 4 a z^7 + 
  6 a^3 z^7 + 11 a^5 z^7 + 9 a^7 z^7 + 5 a^2 z^8 + 11 a^4 z^8 + 
  6 a^6 z^8 + 2 a^3 z^9 + 2 a^5 z^9, -1 + 1/(a z) + a/z - 2 a^3 z - 
  4 a^5 z - 2 a^7 z - 4 a^2 z^2 - 9 a^4 z^2 - 4 a^6 z^2 + a^8 z^2 - (
  4 z^3)/a - 2 a z^3 + 11 a^3 z^3 + 17 a^5 z^3 + 8 a^7 z^3 - 6 z^4 + 
  z^4/a^2 + 6 a^2 z^4 + 28 a^4 z^4 + 12 a^6 z^4 - 3 a^8 z^4 + (4 z^5)/
  a - 5 a z^5 - 13 a^3 z^5 - 14 a^5 z^5 - 10 a^7 z^5 + 6 z^6 - 
  7 a^2 z^6 - 27 a^4 z^6 - 13 a^6 z^6 + a^8 z^6 + 6 a z^7 + 
  3 a^3 z^7 + 3 a^7 z^7 + 5 a^2 z^8 + 9 a^4 z^8 + 4 a^6 z^8 + 
  2 a^3 z^9 + 2 a^5 z^9, -1 - 1/(a^3 z) - 2/(a z) - (2 a)/z - a^3/z + 
  z/a^3 + (2 z)/a - a^3 z + 5 z^2 + (2 z^2)/a^4 + (6 z^2)/a^2 + 
  2 a^2 z^2 + a^4 z^2 - (3 z^3)/a^5 + z^3/a^3 + (17 z^3)/a + 
  21 a z^3 + 8 a^3 z^3 + 4 z^4 + z^4/a^6 - (7 z^4)/a^4 - (9 z^4)/
  a^2 + 3 a^2 z^4 - 2 a^4 z^4 + (4 z^5)/a^5 - (8 z^5)/a^3 - (30 z^5)/
  a - 29 a z^5 - 11 a^3 z^5 - 21 z^6 + (7 z^6)/a^4 - (2 z^6)/a^2 - 
  11 a^2 z^6 + a^4 z^6 + (8 z^7)/a^3 + (11 z^7)/a + 7 a z^7 + 
  4 a^3 z^7 + 11 z^8 + (6 z^8)/a^2 + 5 a^2 z^8 + (2 z^9)/a + 
  2 a z^9, -1 + 1/(a z) + a/z - (2 z)/a^3 - (8 z)/a - 10 a z - 
  4 a^3 z + (2 z^2)/a^4 + (3 z^2)/a^2 + a^2 z^2 + 2 a^4 z^2 - (2 z^3)/
  a^5 + (7 z^3)/a^3 + (26 z^3)/a + 26 a z^3 + 9 a^3 z^3 + 11 z^4 + 
  z^4/a^6 - (8 z^4)/a^4 - (5 z^4)/a^2 + 4 a^2 z^4 - 3 a^4 z^4 + (
  4 z^5)/a^5 - (14 z^5)/a^3 - (34 z^5)/a - 25 a z^5 - 9 a^3 z^5 - 
  23 z^6 + (8 z^6)/a^4 - (5 z^6)/a^2 - 9 a^2 z^6 + a^4 z^6 + (10 z^7)/
  a^3 + (12 z^7)/a + 5 a z^7 + 3 a^3 z^7 + 11 z^8 + (7 z^8)/a^2 + 
  4 a^2 z^8 + (2 z^9)/a + 2 a z^9, -1 + 1/(a z) + a/z - (4 z)/a - 
  10 a z - 8 a^3 z - 2 a^5 z + 4 z^2 + (2 z^2)/a^2 + 7 a^2 z^2 + 
  8 a^4 z^2 + 3 a^6 z^2 - z^3/a^3 + (10 z^3)/a + 31 a z^3 + 
  28 a^3 z^3 + 7 a^5 z^3 - a^7 z^3 - 6 z^4 - (5 z^4)/a^2 - 
  7 a^2 z^4 - 12 a^4 z^4 - 6 a^6 z^4 + z^5/a^3 - (14 z^5)/a - 
  42 a z^5 - 39 a^3 z^5 - 11 a^5 z^5 + a^7 z^5 - 5 z^6 + (4 z^6)/
  a^2 - 14 a^2 z^6 - a^4 z^6 + 4 a^6 z^6 + (8 z^7)/a + 17 a z^7 + 
  16 a^3 z^7 + 7 a^5 z^7 + 7 z^8 + 13 a^2 z^8 + 6 a^4 z^8 + 2 a z^9 + 
  2 a^3 z^9, -1 - 1/(a^3 z) - 2/(a z) - (2 a)/z - a^3/z + z/a^3 + (
  4 z)/a + 6 a z + 5 a^3 z + 2 a^5 z - 4 z^2 - (2 z^2)/a^2 - a^2 z^2 -
   a^6 z^2 + (7 z^3)/a^3 + (11 z^3)/a + a z^3 - 7 a^3 z^3 - 
  4 a^5 z^3 + 19 z^4 - (2 z^4)/a^4 + (11 z^4)/a^2 + 2 a^2 z^4 - 
  3 a^4 z^4 + a^6 z^4 - (12 z^5)/a^3 - (17 z^5)/a - 8 a z^5 + 
  3 a^5 z^5 - 24 z^6 + z^6/a^4 - (15 z^6)/a^2 - 4 a^2 z^6 + 
  4 a^4 z^6 + (4 z^7)/a^3 + (2 z^7)/a + 2 a z^7 + 4 a^3 z^7 + 
  9 z^8 + (5 z^8)/a^2 + 4 a^2 z^8 + (2 z^9)/a + 2 a z^9, -7 - 1/a^4 - 
  4/a^2 - 4 a^2 - a^4 + 1/(a^3 z) + 4/(a z) + (4 a)/z + a^3/z - (8 z)/
  a^3 - (21 z)/a - 17 a z - 4 a^3 z + 18 z^2 - z^2/a^6 + (5 z^2)/
  a^4 + (15 z^2)/a^2 + 12 a^2 z^2 + 3 a^4 z^2 - (2 z^3)/a^5 + (
  15 z^3)/a^3 + (43 z^3)/a + 35 a z^3 + 9 a^3 z^3 - 12 z^4 + z^4/
  a^6 - (7 z^4)/a^4 - (14 z^4)/a^2 - 9 a^2 z^4 - 3 a^4 z^4 + (3 z^5)/
  a^5 - (14 z^5)/a^3 - (43 z^5)/a - 35 a z^5 - 9 a^3 z^5 - 10 z^6 + (
  6 z^6)/a^4 - 3 a^2 z^6 + a^4 z^6 + (8 z^7)/a^3 + (15 z^7)/a + 
  10 a z^7 + 3 a^3 z^7 + 8 z^8 + (5 z^8)/a^2 + 3 a^2 z^8 + z^9/a + 
  a z^9, -2 - 1/a^6 - 3/a^4 - 3/a^2 + 1/(a^5 z) + 3/(a^3 z) + 4/(
  a z) + (2 a)/z + z/a^7 - (4 z)/a^5 - (19 z)/a^3 - (21 z)/a - 7 a z -
   z^2 + (7 z^2)/a^6 + (14 z^2)/a^4 + (6 z^2)/a^2 + z^3/a^9 - (4 z^3)/
  a^7 + (10 z^3)/a^5 + (45 z^3)/a^3 + (39 z^3)/a + 9 a z^3 + 9 z^4 + (
  3 z^4)/a^8 - (14 z^4)/a^6 - (15 z^4)/a^4 + (11 z^4)/a^2 + (6 z^5)/
  a^7 - (18 z^5)/a^5 - (44 z^5)/a^3 - (25 z^5)/a - 5 a z^5 - 8 z^6 + (
  9 z^6)/a^6 - (4 z^6)/a^4 - (21 z^6)/a^2 + (9 z^7)/a^5 + (11 z^7)/
  a^3 + (3 z^7)/a + a z^7 + 2 z^8 + (5 z^8)/a^4 + (7 z^8)/a^2 + z^9/
  a^3 + z^9/a, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 2/(a^3 z) + 1/(a z) - a/z - 
  a^3/z - (5 z)/a^5 - (13 z)/a^3 - (6 z)/a + 5 a z + 3 a^3 z - 5 z^2 +
   z^2/a^6 - (4 z^2)/a^4 - (11 z^2)/a^2 + a^2 z^2 - (2 z^3)/a^7 + (
  11 z^3)/a^5 + (27 z^3)/a^3 + (10 z^3)/a - 7 a z^3 - 3 a^3 z^3 + 
  z^4 - (6 z^4)/a^6 + (9 z^4)/a^4 + (20 z^4)/a^2 - 4 a^2 z^4 + z^5/
  a^7 - (13 z^5)/a^5 - (21 z^5)/a^3 - (8 z^5)/a + a^3 z^5 - z^6 + (
  3 z^6)/a^6 - (9 z^6)/a^4 - (15 z^6)/a^2 + 2 a^2 z^6 + (5 z^7)/
  a^5 + (6 z^7)/a^3 + (3 z^7)/a + 2 a z^7 + 2 z^8 + (4 z^8)/a^4 + (
  6 z^8)/a^2 + z^9/a^3 + z^9/a, -2 a^4 - 3 a^6 - 3 a^8 - a^10 + (
  2 a^3)/z + (4 a^5)/z + (3 a^7)/z + a^9/z + a z - 6 a^3 z - 
  17 a^5 z - 14 a^7 z - 3 a^9 z + a^11 z + 2 a^2 z^2 + 6 a^4 z^2 + 
  9 a^6 z^2 + 8 a^8 z^2 + 3 a^10 z^2 - 2 a z^3 + 8 a^3 z^3 + 
  34 a^5 z^3 + 31 a^7 z^3 + 5 a^9 z^3 - 2 a^11 z^3 - 5 a^2 z^4 - 
  7 a^4 z^4 - 7 a^6 z^4 - 10 a^8 z^4 - 5 a^10 z^4 + a z^5 - 
  9 a^3 z^5 - 34 a^5 z^5 - 33 a^7 z^5 - 8 a^9 z^5 + a^11 z^5 + 
  3 a^2 z^6 - a^4 z^6 - 7 a^6 z^6 + 3 a^10 z^6 + 5 a^3 z^7 + 
  13 a^5 z^7 + 13 a^7 z^7 + 5 a^9 z^7 + 4 a^4 z^8 + 8 a^6 z^8 + 
  4 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 1 + 3 a^2 + 2 a^4 + a^6 + 1/(a z) + (2 a)/z + a^3/z - a^5/z - a^7/z +
   z/a^3 - (4 z)/a - 13 a z - 9 a^3 z + 2 a^5 z + 3 a^7 z - z^2 + (
  2 z^2)/a^2 - 6 a^2 z^2 - 3 a^4 z^2 - (2 z^3)/a^3 + (6 z^3)/a + 
  26 a z^3 + 20 a^3 z^3 - a^5 z^3 - 3 a^7 z^3 - 2 z^4 - (5 z^4)/a^2 + 
  7 a^2 z^4 + a^4 z^4 - 3 a^6 z^4 + z^5/a^3 - (9 z^5)/a - 26 a z^5 - 
  20 a^3 z^5 - 3 a^5 z^5 + a^7 z^5 - 3 z^6 + (3 z^6)/a^2 - 
  10 a^2 z^6 - 2 a^4 z^6 + 2 a^6 z^6 + (5 z^7)/a + 10 a z^7 + 
  8 a^3 z^7 + 3 a^5 z^7 + 4 z^8 + 7 a^2 z^8 + 3 a^4 z^8 + a z^9 + 
  a^3 z^9, -1 - 4 a^2 - 7 a^4 - 4 a^6 - a^8 + a/z + (4 a^3)/z + (
  4 a^5)/z + a^7/z + z/a - 2 a z - 16 a^3 z - 17 a^5 z - 4 a^7 z + 
  3 z^2 - z^2/a^2 + 15 a^2 z^2 + 21 a^4 z^2 + 13 a^6 z^2 + 
  3 a^8 z^2 - (3 z^3)/a + 5 a z^3 + 31 a^3 z^3 + 32 a^5 z^3 + 
  9 a^7 z^3 - 5 z^4 + z^4/a^2 - 15 a^2 z^4 - 16 a^4 z^4 - 
  10 a^6 z^4 - 3 a^8 z^4 + (3 z^5)/a - 7 a z^5 - 33 a^3 z^5 - 
  32 a^5 z^5 - 9 a^7 z^5 + 5 z^6 + 2 a^2 z^6 - 7 a^4 z^6 - 3 a^6 z^6 +
   a^8 z^6 + 6 a z^7 + 12 a^3 z^7 + 9 a^5 z^7 + 3 a^7 z^7 + 
  4 a^2 z^8 + 7 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, -2 - 3 a^2 - 
  3 a^4 - a^6 + 2/(a z) + (4 a)/z + (3 a^3)/z + a^5/z - (5 z)/a - 
  15 a z - 13 a^3 z - 2 a^5 z + a^7 z + 2 z^2 + z^2/a^2 + 5 a^2 z^2 + 
  7 a^4 z^2 + 3 a^6 z^2 - z^3/a^3 + (10 z^3)/a + 33 a z^3 + 
  28 a^3 z^3 + 4 a^5 z^3 - 2 a^7 z^3 - z^4 - (5 z^4)/a^2 + 
  4 a^2 z^4 - 5 a^4 z^4 - 5 a^6 z^4 + z^5/a^3 - (15 z^5)/a - 
  38 a z^5 - 30 a^3 z^5 - 7 a^5 z^5 + a^7 z^5 - 8 z^6 + (4 z^6)/a^2 - 
  18 a^2 z^6 - 3 a^4 z^6 + 3 a^6 z^6 + (8 z^7)/a + 14 a z^7 + 
  11 a^3 z^7 + 5 a^5 z^7 + 7 z^8 + 12 a^2 z^8 + 5 a^4 z^8 + 2 a z^9 + 
  2 a^3 z^9, -2 a^4 - 3 a^6 - 3 a^8 - a^10 + (2 a^3)/z + (4 a^5)/z + (
  3 a^7)/z + a^9/z + 2 a z - 6 a^3 z - 19 a^5 z - 14 a^7 z - 2 a^9 z +
   a^11 z + a^2 z^2 + a^4 z^2 + 6 a^6 z^2 + 9 a^8 z^2 + 3 a^10 z^2 - 
  3 a z^3 + 6 a^3 z^3 + 31 a^5 z^3 + 25 a^7 z^3 + a^9 z^3 - 
  2 a^11 z^3 - 4 a^2 z^4 + 4 a^4 z^4 + 4 a^6 z^4 - 10 a^8 z^4 - 
  6 a^10 z^4 + a z^5 - 6 a^3 z^5 - 21 a^5 z^5 - 21 a^7 z^5 - 
  6 a^9 z^5 + a^11 z^5 + 2 a^2 z^6 - 5 a^4 z^6 - 10 a^6 z^6 + 
  3 a^10 z^6 + 3 a^3 z^7 + 6 a^5 z^7 + 7 a^7 z^7 + 4 a^9 z^7 + 
  3 a^4 z^8 + 6 a^6 z^8 + 3 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 a^2 + 2 a^4 + 3 a^6 + a^8 - a/z - a^3/z + a^5/z + (2 a^7)/z + a^9/z -
   z/a + 3 a z + 4 a^3 z - 8 a^5 z - 13 a^7 z - 5 a^9 z - z^2 - 
  a^2 z^2 - 7 a^4 z^2 - 11 a^6 z^2 - 4 a^8 z^2 + z^3/a - 3 a z^3 - 
  4 a^3 z^3 + 18 a^5 z^3 + 26 a^7 z^3 + 8 a^9 z^3 + 2 z^4 - 
  2 a^2 z^4 + 8 a^4 z^4 + 23 a^6 z^4 + 11 a^8 z^4 + 3 a z^5 - 
  3 a^3 z^5 - 16 a^5 z^5 - 15 a^7 z^5 - 5 a^9 z^5 + 3 a^2 z^6 - 
  8 a^4 z^6 - 20 a^6 z^6 - 9 a^8 z^6 + 3 a^3 z^7 + 2 a^5 z^7 + 
  a^9 z^7 + 3 a^4 z^8 + 5 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + 
  a^7 z^9, -(2/a^8) - 5/a^6 - 3/a^4 + 1/a^2 + 1/(a^7 z) + 2/(a^5 z) - 
  1/(a z) - (2 z)/a^9 - (8 z)/a^7 - (9 z)/a^5 + (3 z)/a + (3 z^2)/
  a^10 + (12 z^2)/a^8 + (14 z^2)/a^6 + (5 z^2)/a^4 - z^3/a^11 + (
  4 z^3)/a^9 + (23 z^3)/a^7 + (21 z^3)/a^5 - (3 z^3)/a - (7 z^4)/
  a^10 - (17 z^4)/a^8 - (10 z^4)/a^6 - (3 z^4)/a^4 - (3 z^4)/a^2 + 
  z^5/a^11 - (10 z^5)/a^9 - (29 z^5)/a^7 - (22 z^5)/a^5 - (3 z^5)/
  a^3 + z^5/a + (4 z^6)/a^10 + (2 z^6)/a^8 - (5 z^6)/a^6 - z^6/a^4 + (
  2 z^6)/a^2 + (6 z^7)/a^9 + (12 z^7)/a^7 + (9 z^7)/a^5 + (3 z^7)/
  a^3 + (4 z^8)/a^8 + (7 z^8)/a^6 + (3 z^8)/a^4 + z^9/a^7 + z^9/
  a^5, -5 a^4 - 5 a^6 + a^10 + (3 a^3)/z + (5 a^5)/z + (2 a^7)/z - 
  4 a z - 16 a^3 z - 17 a^5 z - 5 a^7 z + 2 z^2 + 4 a^2 z^2 + 
  11 a^4 z^2 + 11 a^6 z^2 - 2 a^10 z^2 + 10 a z^3 + 29 a^3 z^3 + 
  29 a^5 z^3 + 8 a^7 z^3 - 2 a^9 z^3 - 3 z^4 - 2 a^2 z^4 - 
  2 a^4 z^4 - 6 a^6 z^4 - 2 a^8 z^4 + a^10 z^4 - 10 a z^5 - 
  26 a^3 z^5 - 24 a^5 z^5 - 6 a^7 z^5 + 2 a^9 z^5 + z^6 - 6 a^2 z^6 - 
  11 a^4 z^6 - a^6 z^6 + 3 a^8 z^6 + 3 a z^7 + 6 a^3 z^7 + 
  7 a^5 z^7 + 4 a^7 z^7 + 3 a^2 z^8 + 6 a^4 z^8 + 3 a^6 z^8 + 
  a^3 z^9 + a^5 z^9, 
 a^2 - 3 a^4 - 5 a^6 - 2 a^8 - a/z + (2 a^5)/z + a^7/z + (2 z)/a + 
  5 a z - 5 a^5 z - 2 a^7 z - z^2/a^2 + 2 a^2 z^2 + 8 a^4 z^2 + 
  12 a^6 z^2 + 5 a^8 z^2 - (4 z^3)/a - 5 a z^3 + 3 a^3 z^3 + 
  9 a^5 z^3 + 5 a^7 z^3 - 3 z^4 + z^4/a^2 - 4 a^2 z^4 - 4 a^4 z^4 - 
  8 a^6 z^4 - 4 a^8 z^4 + (3 z^5)/a - a z^5 - 10 a^3 z^5 - 
  12 a^5 z^5 - 6 a^7 z^5 + 4 z^6 - 7 a^4 z^6 - 2 a^6 z^6 + a^8 z^6 + 
  4 a z^7 + 5 a^3 z^7 + 3 a^5 z^7 + 2 a^7 z^7 + 3 a^2 z^8 + 
  5 a^4 z^8 + 2 a^6 z^8 + a^3 z^9 + a^5 z^9, -7 - 1/a^4 - 4/a^2 - 
  4 a^2 - a^4 + 1/(a^3 z) + 4/(a z) + (4 a)/z + a^3/z - (4 z)/a^3 - (
  13 z)/a - 13 a z - 4 a^3 z + 15 z^2 + (4 z^2)/a^4 + (12 z^2)/a^2 + 
  10 a^2 z^2 + 3 a^4 z^2 - z^3/a^5 + (11 z^3)/a^3 + (33 z^3)/a + 
  29 a z^3 + 8 a^3 z^3 - 5 z^4 + z^4/a^6 - (9 z^4)/a^4 - (14 z^4)/
  a^2 - 4 a^2 z^4 - 3 a^4 z^4 + (4 z^5)/a^5 - (18 z^5)/a^3 - (45 z^5)/
  a - 31 a z^5 - 8 a^3 z^5 - 19 z^6 + (9 z^6)/a^4 - (3 z^6)/a^2 - 
  6 a^2 z^6 + a^4 z^6 + (12 z^7)/a^3 + (17 z^7)/a + 8 a z^7 + 
  3 a^3 z^7 + 12 z^8 + (8 z^8)/a^2 + 4 a^2 z^8 + (2 z^9)/a + 
  2 a z^9, -1 + 1/(a z) + a/z - (2 z)/a^5 - (6 z)/a^3 - (6 z)/a - 
  2 a z + z^2 + (2 z^2)/a^6 + (3 z^2)/a^4 + z^2/a^2 + a^2 z^2 - z^3/
  a^7 + (6 z^3)/a^5 + (23 z^3)/a^3 + (25 z^3)/a + 8 a z^3 - a^3 z^3 - 
  z^4 - (6 z^4)/a^6 - (4 z^4)/a^4 + (7 z^4)/a^2 - 6 a^2 z^4 + z^5/
  a^7 - (12 z^5)/a^5 - (31 z^5)/a^3 - (32 z^5)/a - 13 a z^5 + 
  a^3 z^5 - 6 z^6 + (4 z^6)/a^6 - (5 z^6)/a^4 - (19 z^6)/a^2 + 
  4 a^2 z^6 + (7 z^7)/a^5 + (12 z^7)/a^3 + (12 z^7)/a + 7 a z^7 + 
  6 z^8 + (6 z^8)/a^4 + (12 z^8)/a^2 + (2 z^9)/a^3 + (2 z^9)/
  a, -(2/a^8) - 5/a^6 - 3/a^4 + 1/a^2 + 1/(a^7 z) + 2/(a^5 z) - 1/(
  a z) - (2 z)/a^7 - (7 z)/a^5 - (6 z)/a^3 - z/a + z^2 + (5 z^2)/
  a^8 + (14 z^2)/a^6 + (11 z^2)/a^4 + (3 z^2)/a^2 - z^3/a^9 + (8 z^3)/
  a^7 + (26 z^3)/a^5 + (26 z^3)/a^3 + (9 z^3)/a - 2 z^4 + z^4/a^10 - (
  10 z^4)/a^8 - (19 z^4)/a^6 - (4 z^4)/a^4 + (2 z^4)/a^2 + (4 z^5)/
  a^9 - (15 z^5)/a^7 - (41 z^5)/a^5 - (33 z^5)/a^3 - (11 z^5)/a + 
  z^6 + (9 z^6)/a^8 + z^6/a^6 - (19 z^6)/a^4 - (10 z^6)/a^2 + (
  11 z^7)/a^7 + (16 z^7)/a^5 + (9 z^7)/a^3 + (4 z^7)/a + (7 z^8)/
  a^6 + (12 z^8)/a^4 + (5 z^8)/a^2 + (2 z^9)/a^5 + (2 z^9)/a^3, 
 a^2 - 3 a^4 - 5 a^6 - 2 a^8 - a/z + (2 a^5)/z + a^7/z + a z - 
  4 a^3 z - 9 a^5 z - 4 a^7 z - 2 a^2 z^2 + 3 a^4 z^2 + 12 a^6 z^2 + 
  6 a^8 z^2 - a^10 z^2 + 8 a z^3 + 18 a^3 z^3 + 20 a^5 z^3 + 
  8 a^7 z^3 - 2 a^9 z^3 - 2 z^4 + 10 a^2 z^4 + 12 a^4 z^4 - 
  9 a^6 z^4 - 8 a^8 z^4 + a^10 z^4 - 12 a z^5 - 22 a^3 z^5 - 
  23 a^5 z^5 - 10 a^7 z^5 + 3 a^9 z^5 + z^6 - 14 a^2 z^6 - 
  23 a^4 z^6 - 2 a^6 z^6 + 6 a^8 z^6 + 4 a z^7 + 4 a^3 z^7 + 
  7 a^5 z^7 + 7 a^7 z^7 + 5 a^2 z^8 + 10 a^4 z^8 + 5 a^6 z^8 + 
  2 a^3 z^9 + 2 a^5 z^9, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z + 3 a z + 
  3 a^3 z - 2 a^5 z - 2 a^7 z - 5 a^2 z^2 - 11 a^4 z^2 - 4 a^6 z^2 + 
  2 a^8 z^2 - (3 z^3)/a + 2 a z^3 + 12 a^3 z^3 + 14 a^5 z^3 + 
  7 a^7 z^3 - 7 z^4 + z^4/a^2 + 4 a^2 z^4 + 24 a^4 z^4 + 9 a^6 z^4 - 
  3 a^8 z^4 + (4 z^5)/a - 10 a z^5 - 21 a^3 z^5 - 16 a^5 z^5 - 
  9 a^7 z^5 + 7 z^6 - 7 a^2 z^6 - 26 a^4 z^6 - 11 a^6 z^6 + a^8 z^6 + 
  8 a z^7 + 7 a^3 z^7 + 2 a^5 z^7 + 3 a^7 z^7 + 6 a^2 z^8 + 
  10 a^4 z^8 + 4 a^6 z^8 + 2 a^3 z^9 + 2 a^5 z^9, -2 a^4 - 3 a^6 - 
  3 a^8 - a^10 + (2 a^3)/z + (4 a^5)/z + (3 a^7)/z + a^9/z + a z - 
  7 a^3 z - 18 a^5 z - 13 a^7 z - 2 a^9 z + a^11 z + a^2 z^2 + 
  4 a^4 z^2 + 10 a^6 z^2 + 10 a^8 z^2 + 3 a^10 z^2 - 2 a z^3 + 
  8 a^3 z^3 + 33 a^5 z^3 + 27 a^7 z^3 + 2 a^9 z^3 - 2 a^11 z^3 - 
  5 a^2 z^4 - 2 a^4 z^4 - 2 a^6 z^4 - 11 a^8 z^4 - 6 a^10 z^4 + 
  a z^5 - 10 a^3 z^5 - 29 a^5 z^5 - 25 a^7 z^5 - 6 a^9 z^5 + 
  a^11 z^5 + 3 a^2 z^6 - 4 a^4 z^6 - 9 a^6 z^6 + a^8 z^6 + 
  3 a^10 z^6 + 5 a^3 z^7 + 10 a^5 z^7 + 9 a^7 z^7 + 4 a^9 z^7 + 
  4 a^4 z^8 + 7 a^6 z^8 + 3 a^8 z^8 + a^5 z^9 + a^7 z^9, -1 - 4 a^2 - 
  7 a^4 - 4 a^6 - a^8 + a/z + (4 a^3)/z + (4 a^5)/z + a^7/z - 3 a z - 
  15 a^3 z - 16 a^5 z - 4 a^7 z + 3 z^2 + 14 a^2 z^2 + 21 a^4 z^2 + 
  13 a^6 z^2 + 3 a^8 z^2 - (2 z^3)/a + 7 a z^3 + 34 a^3 z^3 + 
  34 a^5 z^3 + 9 a^7 z^3 - 9 z^4 + z^4/a^2 - 20 a^2 z^4 - 
  16 a^4 z^4 - 9 a^6 z^4 - 3 a^8 z^4 + (4 z^5)/a - 12 a z^5 - 
  41 a^3 z^5 - 34 a^5 z^5 - 9 a^7 z^5 + 8 z^6 + 4 a^2 z^6 - 
  8 a^4 z^6 - 3 a^6 z^6 + a^8 z^6 + 9 a z^7 + 16 a^3 z^7 + 
  10 a^5 z^7 + 3 a^7 z^7 + 5 a^2 z^8 + 8 a^4 z^8 + 3 a^6 z^8 + 
  a^3 z^9 + a^5 z^9, -2 - 1/a^6 - 3/a^4 - 3/a^2 + 1/(a^5 z) + 3/(
  a^3 z) + 4/(a z) + (2 a)/z + z/a^7 - (2 z)/a^5 - (15 z)/a^3 - (
  19 z)/a - 7 a z - z^2/a^8 + (2 z^2)/a^6 + (10 z^2)/a^4 + (7 z^2)/
  a^2 + z^3/a^9 - (4 z^3)/a^7 + (3 z^3)/a^5 + (34 z^3)/a^3 + (35 z^3)/
  a + 9 a z^3 + 8 z^4 + (3 z^4)/a^8 - (7 z^4)/a^6 - (8 z^4)/a^4 + (
  10 z^4)/a^2 + (5 z^5)/a^7 - (10 z^5)/a^5 - (32 z^5)/a^3 - (22 z^5)/
  a - 5 a z^5 - 8 z^6 + (6 z^6)/a^6 - (5 z^6)/a^4 - (19 z^6)/a^2 + (
  6 z^7)/a^5 + (7 z^7)/a^3 + (2 z^7)/a + a z^7 + 2 z^8 + (4 z^8)/
  a^4 + (6 z^8)/a^2 + z^9/a^3 + z^9/a, -2 - 3 a^2 - 3 a^4 - a^6 + 2/(
  a z) + (4 a)/z + (3 a^3)/z + a^5/z - (7 z)/a - 19 a z - 15 a^3 z - 
  2 a^5 z + a^7 z + z^2 + z^2/a^2 + 5 a^2 z^2 + 8 a^4 z^2 + 
  3 a^6 z^2 - (2 z^3)/a^3 + (13 z^3)/a + 40 a z^3 + 28 a^3 z^3 + 
  a^5 z^3 - 2 a^7 z^3 + 4 z^4 - (6 z^4)/a^2 + 7 a^2 z^4 - 9 a^4 z^4 - 
  6 a^6 z^4 + z^5/a^3 - (13 z^5)/a - 31 a z^5 - 24 a^3 z^5 - 
  6 a^5 z^5 + a^7 z^5 - 7 z^6 + (3 z^6)/a^2 - 13 a^2 z^6 + 
  3 a^6 z^6 + (5 z^7)/a + 9 a z^7 + 8 a^3 z^7 + 4 a^5 z^7 + 4 z^8 + 
  7 a^2 z^8 + 3 a^4 z^8 + a z^9 + a^3 z^9, -7 - 1/a^4 - 4/a^2 - 
  4 a^2 - a^4 + 1/(a^3 z) + 4/(a z) + (4 a)/z + a^3/z - (6 z)/a^3 - (
  17 z)/a - 15 a z - 4 a^3 z + 16 z^2 - z^2/a^6 + (3 z^2)/a^4 + (
  12 z^2)/a^2 + 11 a^2 z^2 + 3 a^4 z^2 - (3 z^3)/a^5 + (11 z^3)/
  a^3 + (38 z^3)/a + 32 a z^3 + 8 a^3 z^3 - 7 z^4 + z^4/a^6 - (6 z^4)/
  a^4 - (9 z^4)/a^2 - 8 a^2 z^4 - 3 a^4 z^4 + (3 z^5)/a^5 - (10 z^5)/
  a^3 - (35 z^5)/a - 31 a z^5 - 9 a^3 z^5 - 11 z^6 + (5 z^6)/a^4 - 
  z^6/a^2 - 4 a^2 z^6 + a^4 z^6 + (6 z^7)/a^3 + (11 z^7)/a + 
  8 a z^7 + 3 a^3 z^7 + 7 z^8 + (4 z^8)/a^2 + 3 a^2 z^8 + z^9/a + 
  a z^9, -3 - 2/a^4 - 5/a^2 + a^2 + 1/(a^3 z) + 2/(a z) - a^3/z - z/
  a^3 - (5 z)/a - a z + 3 a^3 z + 11 z^2 + (2 z^2)/a^6 + (7 z^2)/
  a^4 + (16 z^2)/a^2 - z^3/a^7 + (4 z^3)/a^5 + (8 z^3)/a^3 + (8 z^3)/
  a + 2 a z^3 - 3 a^3 z^3 - 13 z^4 - (7 z^4)/a^6 - (9 z^4)/a^4 - (
  12 z^4)/a^2 - 3 a^2 z^4 + z^5/a^7 - (11 z^5)/a^5 - (18 z^5)/a^3 - (
  11 z^5)/a - 4 a z^5 + a^3 z^5 + 4 z^6 + (4 z^6)/a^6 - z^6/a^4 - (
  3 z^6)/a^2 + 2 a^2 z^6 + (6 z^7)/a^5 + (9 z^7)/a^3 + (6 z^7)/a + 
  3 a z^7 + 2 z^8 + (4 z^8)/a^4 + (6 z^8)/a^2 + z^9/a^3 + z^9/a, 
 2 + 1/a^2 + 3 a^2 + a^4 - 1/(a^3 z) - 1/(a z) + a/z + (2 a^3)/z + 
  a^5/z + (3 z)/a^3 + (3 z)/a - 10 a z - 15 a^3 z - 5 a^5 z - 
  4 z^2 + (2 z^2)/a^2 - 11 a^2 z^2 - 5 a^4 z^2 + z^3/a^5 - (6 z^3)/
  a^3 - (2 z^3)/a + 27 a z^3 + 30 a^3 z^3 + 8 a^5 z^3 + (3 z^4)/
  a^4 - (9 z^4)/a^2 + 24 a^2 z^4 + 12 a^4 z^4 + (6 z^5)/a^3 - (8 z^5)/
  a - 27 a z^5 - 18 a^3 z^5 - 5 a^5 z^5 - 6 z^6 + (7 z^6)/a^2 - 
  22 a^2 z^6 - 9 a^4 z^6 + (6 z^7)/a + 6 a z^7 + a^3 z^7 + a^5 z^7 + 
  4 z^8 + 6 a^2 z^8 + 2 a^4 z^8 + a z^9 + a^3 z^9, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 2/(a^3 z) + 1/(a z) - a/z - 
  a^3/z - (5 z)/a^5 - (15 z)/a^3 - (10 z)/a + 3 a z + 3 a^3 z - 
  8 z^2 + (2 z^2)/a^6 - z^2/a^4 - (11 z^2)/a^2 - (2 z^3)/a^7 + (
  11 z^3)/a^5 + (33 z^3)/a^3 + (21 z^3)/a - 2 a z^3 - 3 a^3 z^3 + 
  4 z^4 - (6 z^4)/a^6 + (3 z^4)/a^4 + (16 z^4)/a^2 - 3 a^2 z^4 + z^5/
  a^7 - (12 z^5)/a^5 - (28 z^5)/a^3 - (19 z^5)/a - 3 a z^5 + 
  a^3 z^5 - 3 z^6 + (3 z^6)/a^6 - (6 z^6)/a^4 - (14 z^6)/a^2 + 
  2 a^2 z^6 + (5 z^7)/a^5 + (9 z^7)/a^3 + (7 z^7)/a + 3 a z^7 + 
  3 z^8 + (4 z^8)/a^4 + (7 z^8)/a^2 + z^9/a^3 + z^9/a, -3 - 1/a^2 - 
  3 a^2 - 2 a^4 + 1/(a z) + (3 a)/z + (4 a^3)/z + (2 a^5)/z + (2 z)/
  a^3 - (2 z)/a - 14 a z - 17 a^3 z - 7 a^5 z + 9 z^2 + (6 z^2)/a^2 + 
  4 a^2 z^2 + a^4 z^2 + z^3/a^5 - (5 z^3)/a^3 + (3 z^3)/a + 
  33 a z^3 + 33 a^3 z^3 + 9 a^5 z^3 - 13 z^4 + (3 z^4)/a^4 - (12 z^4)/
  a^2 + 10 a^2 z^4 + 8 a^4 z^4 + (6 z^5)/a^3 - (11 z^5)/a - 
  33 a z^5 - 21 a^3 z^5 - 5 a^5 z^5 - 2 z^6 + (8 z^6)/a^2 - 
  18 a^2 z^6 - 8 a^4 z^6 + (7 z^7)/a + 8 a z^7 + 2 a^3 z^7 + 
  a^5 z^7 + 4 z^8 + 6 a^2 z^8 + 2 a^4 z^8 + a z^9 + a^3 z^9, -1 - 1/(
  a^3 z) - 2/(a z) - (2 a)/z - a^3/z + z/a^3 + (6 z)/a + 8 a z + 
  3 a^3 z + 2 z^2 + z^2/a^6 + (2 z^2)/a^4 + z^2/a^2 + 2 a^2 z^2 - z^3/
  a^7 + (5 z^3)/a^5 + (10 z^3)/a^3 - (2 z^3)/a - 9 a z^3 - 
  3 a^3 z^3 - 4 z^4 - (7 z^4)/a^6 - (4 z^4)/a^4 + (3 z^4)/a^2 - 
  4 a^2 z^4 + z^5/a^7 - (12 z^5)/a^5 - (18 z^5)/a^3 - (5 z^5)/a + 
  a z^5 + a^3 z^5 + z^6 + (4 z^6)/a^6 - (3 z^6)/a^4 - (8 z^6)/a^2 + 
  2 a^2 z^6 + (6 z^7)/a^5 + (8 z^7)/a^3 + (4 z^7)/a + 2 a z^7 + 
  2 z^8 + (4 z^8)/a^4 + (6 z^8)/a^2 + z^9/a^3 + z^9/a, -5 a^4 - 
  5 a^6 + a^10 + (3 a^3)/z + (5 a^5)/z + (2 a^7)/z - 2 a z - 
  12 a^3 z - 15 a^5 z - 5 a^7 z + z^2 + a^2 z^2 + 7 a^4 z^2 + 
  10 a^6 z^2 + a^8 z^2 - 2 a^10 z^2 + 10 a z^3 + 22 a^3 z^3 + 
  18 a^5 z^3 + 4 a^7 z^3 - 2 a^9 z^3 - 3 z^4 + 5 a^2 z^4 + 
  5 a^4 z^4 - 7 a^6 z^4 - 3 a^8 z^4 + a^10 z^4 - 11 a z^5 - 
  18 a^3 z^5 - 12 a^5 z^5 - 3 a^7 z^5 + 2 a^9 z^5 + z^6 - 9 a^2 z^6 - 
  12 a^4 z^6 + a^6 z^6 + 3 a^8 z^6 + 3 a z^7 + 3 a^3 z^7 + 
  3 a^5 z^7 + 3 a^7 z^7 + 3 a^2 z^8 + 5 a^4 z^8 + 2 a^6 z^8 + 
  a^3 z^9 + a^5 z^9, 
 a^2 - 3 a^4 - 5 a^6 - 2 a^8 - a/z + (2 a^5)/z + a^7/z + a z - 
  2 a^3 z - 5 a^5 z - 2 a^7 z + z^2 + 2 a^2 z^2 + 7 a^4 z^2 + 
  11 a^6 z^2 + 5 a^8 z^2 - (3 z^3)/a + 2 a z^3 + 13 a^3 z^3 + 
  13 a^5 z^3 + 5 a^7 z^3 - 8 z^4 + z^4/a^2 - 8 a^2 z^4 - 2 a^4 z^4 - 
  7 a^6 z^4 - 4 a^8 z^4 + (4 z^5)/a - 8 a z^5 - 21 a^3 z^5 - 
  15 a^5 z^5 - 6 a^7 z^5 + 7 z^6 + a^2 z^6 - 9 a^4 z^6 - 2 a^6 z^6 + 
  a^8 z^6 + 7 a z^7 + 9 a^3 z^7 + 4 a^5 z^7 + 2 a^7 z^7 + 4 a^2 z^8 + 
  6 a^4 z^8 + 2 a^6 z^8 + a^3 z^9 + a^5 z^9, -a^4 - a/z - (2 a^3)/
  z - (2 a^5)/z - a^7/z + z/a^3 + 2 a z + 8 a^3 z + 8 a^5 z + 
  3 a^7 z + z^2 + (3 z^2)/a^2 + 4 a^4 z^2 + 2 a^6 z^2 - (2 z^3)/a^3 + 
  z^3/a + a z^3 - 8 a^3 z^3 - 9 a^5 z^3 - 3 a^7 z^3 - 4 z^4 - (6 z^4)/
  a^2 + a^2 z^4 - 5 a^4 z^4 - 4 a^6 z^4 + z^5/a^3 - (6 z^5)/a - 
  8 a z^5 - a^3 z^5 + a^5 z^5 + a^7 z^5 - z^6 + (3 z^6)/a^2 - 
  5 a^2 z^6 + a^4 z^6 + 2 a^6 z^6 + (4 z^7)/a + 5 a z^7 + 3 a^3 z^7 + 
  2 a^5 z^7 + 3 z^8 + 5 a^2 z^8 + 2 a^4 z^8 + a z^9 + 
  a^3 z^9, -8 a^8 - 14 a^10 - 9 a^12 - 2 a^14 + (4 a^7)/z + (8 a^9)/
  z + (5 a^11)/z + a^13/z + a^5 z - 12 a^7 z - 22 a^9 z - 9 a^11 z + 
  a^13 z + a^15 z + a^6 z^2 + 19 a^8 z^2 + 35 a^10 z^2 + 
  22 a^12 z^2 + 5 a^14 z^2 - 2 a^5 z^3 + 15 a^7 z^3 + 32 a^9 z^3 + 
  16 a^11 z^3 - a^13 z^3 - 2 a^15 z^3 - 4 a^6 z^4 - 18 a^8 z^4 - 
  29 a^10 z^4 - 21 a^12 z^4 - 6 a^14 z^4 + a^5 z^5 - 13 a^7 z^5 - 
  32 a^9 z^5 - 23 a^11 z^5 - 4 a^13 z^5 + a^15 z^5 + 3 a^6 z^6 + 
  2 a^8 z^6 + a^10 z^6 + 5 a^12 z^6 + 3 a^14 z^6 + 6 a^7 z^7 + 
  13 a^9 z^7 + 11 a^11 z^7 + 4 a^13 z^7 + 4 a^8 z^8 + 7 a^10 z^8 + 
  3 a^12 z^8 + a^9 z^9 + a^11 z^9, -13 - 2/a^4 - 8/a^2 - 8 a^2 - 
  2 a^4 + 2/(a^3 z) + 7/(a z) + (7 a)/z + (2 a^3)/z - (6 z)/a^3 - (
  18 z)/a - 16 a z - 4 a^3 z + 25 z^2 - z^2/a^6 + (6 z^2)/a^4 + (
  20 z^2)/a^2 + 17 a^2 z^2 + 5 a^4 z^2 - (2 z^3)/a^5 + (10 z^3)/
  a^3 + (27 z^3)/a + 21 a z^3 + 6 a^3 z^3 - 15 z^4 + z^4/a^6 - (
  8 z^4)/a^4 - (17 z^4)/a^2 - 11 a^2 z^4 - 4 a^4 z^4 + (3 z^5)/a^5 - (
  11 z^5)/a^3 - (27 z^5)/a - 19 a z^5 - 6 a^3 z^5 - 6 z^6 + (6 z^6)/
  a^4 + (2 z^6)/a^2 - a^2 z^6 + a^4 z^6 + (7 z^7)/a^3 + (10 z^7)/a + 
  5 a z^7 + 2 a^3 z^7 + 6 z^8 + (4 z^8)/a^2 + 2 a^2 z^8 + z^9/a + 
  a z^9, 1 + 3 a^2 + 2 a^4 + a^6 + 1/(a z) + (2 a)/z + a^3/z - a^5/z -
   a^7/z + z/a^3 - (5 z)/a - 14 a z - 8 a^3 z + 3 a^5 z + 3 a^7 z - 
  7 z^2 + z^2/a^2 - 13 a^2 z^2 - 5 a^4 z^2 - (3 z^3)/a^3 + (9 z^3)/
  a + 28 a z^3 + 13 a^3 z^3 - 6 a^5 z^3 - 3 a^7 z^3 + 14 z^4 - (
  5 z^4)/a^2 + 26 a^2 z^4 + 3 a^4 z^4 - 4 a^6 z^4 + z^5/a^3 - (9 z^5)/
  a - 15 a z^5 - 7 a^3 z^5 - a^5 z^5 + a^7 z^5 - 10 z^6 + (2 z^6)/
  a^2 - 17 a^2 z^6 - 3 a^4 z^6 + 2 a^6 z^6 + (3 z^7)/a + 2 a z^7 + 
  a^3 z^7 + 2 a^5 z^7 + 3 z^8 + 5 a^2 z^8 + 2 a^4 z^8 + a z^9 + 
  a^3 z^9, 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z - (2 z)/
  a^3 - (2 z)/a + 5 a z + 7 a^3 z + 2 a^5 z - 2 z^2 + (2 z^2)/a^4 + 
  z^2/a^2 - 4 a^2 z^2 - 5 a^4 z^2 - 2 a^6 z^2 + (8 z^3)/a^3 + (
  12 z^3)/a - 7 a^3 z^3 - 3 a^5 z^3 + 8 z^4 - (3 z^4)/a^4 + (3 z^4)/
  a^2 + 2 a^2 z^4 + a^4 z^4 + a^6 z^4 - (10 z^5)/a^3 - (15 z^5)/a - 
  5 a z^5 + 2 a^3 z^5 + 2 a^5 z^5 - 12 z^6 + z^6/a^4 - (8 z^6)/a^2 - 
  a^2 z^6 + 2 a^4 z^6 + (3 z^7)/a^3 + (3 z^7)/a + 2 a z^7 + 
  2 a^3 z^7 + 5 z^8 + (3 z^8)/a^2 + 2 a^2 z^8 + z^9/a + a z^9, -a^4 + 
  a^3/z + a^5/z - 2 a^3 z - 2 a^5 z - a^7 z + a^11 z - 2 a^4 z^2 - 
  6 a^6 z^2 - a^8 z^2 + 3 a^10 z^2 - a z^3 + 7 a^3 z^3 + 14 a^5 z^3 + 
  8 a^7 z^3 - 2 a^11 z^3 - 6 a^2 z^4 + 6 a^4 z^4 + 19 a^6 z^4 + 
  a^8 z^4 - 6 a^10 z^4 + a z^5 - 14 a^3 z^5 - 20 a^5 z^5 - 
  11 a^7 z^5 - 5 a^9 z^5 + a^11 z^5 + 4 a^2 z^6 - 10 a^4 z^6 - 
  21 a^6 z^6 - 4 a^8 z^6 + 3 a^10 z^6 + 7 a^3 z^7 + 7 a^5 z^7 + 
  4 a^7 z^7 + 4 a^9 z^7 + 6 a^4 z^8 + 10 a^6 z^8 + 4 a^8 z^8 + 
  2 a^5 z^9 + 2 a^7 z^9, -5 + 1/a^6 - 5/a^2 + 2/(a^3 z) + 5/(a z) + (
  3 a)/z - (5 z)/a^3 - (16 z)/a - 10 a z + a^3 z + 14 z^2 + (4 z^2)/
  a^4 + (17 z^2)/a^2 + a^2 z^2 + (5 z^3)/a^5 + (18 z^3)/a^3 + (
  29 z^3)/a + 14 a z^3 - 2 a^3 z^3 - 11 z^4 - (6 z^4)/a^6 - (9 z^4)/
  a^4 - (10 z^4)/a^2 - 4 a^2 z^4 + z^5/a^7 - (15 z^5)/a^5 - (34 z^5)/
  a^3 - (31 z^5)/a - 12 a z^5 + a^3 z^5 - z^6 + (5 z^6)/a^6 - (4 z^6)/
  a^4 - (13 z^6)/a^2 + 3 a^2 z^6 + (9 z^7)/a^5 + (15 z^7)/a^3 + (
  12 z^7)/a + 6 a z^7 + 5 z^8 + (7 z^8)/a^4 + (12 z^8)/a^2 + (2 z^9)/
  a^3 + (2 z^9)/a, -5 + 1/a^6 - 5/a^2 + 2/(a^3 z) + 5/(a z) + (3 a)/
  z - z/a^5 - (5 z)/a^3 - (14 z)/a - 10 a z + 9 z^2 - (2 z^2)/a^8 - (
  2 z^2)/a^6 - z^2/a^4 + (8 z^2)/a^2 + z^3/a^9 - (3 z^3)/a^7 + (
  3 z^3)/a^5 + (11 z^3)/a^3 + (16 z^3)/a + 12 a z^3 - 2 z^4 + (3 z^4)/
  a^8 - (3 z^4)/a^6 + (4 z^4)/a^4 + (8 z^4)/a^2 + (4 z^5)/a^7 - (
  7 z^5)/a^5 - (11 z^5)/a^3 - (6 z^5)/a - 6 a z^5 - 3 z^6 + (4 z^6)/
  a^6 - (7 z^6)/a^4 - (14 z^6)/a^2 + (4 z^7)/a^5 + z^7/a^3 - (2 z^7)/
  a + a z^7 + z^8 + (3 z^8)/a^4 + (4 z^8)/a^2 + z^9/a^3 + z^9/a, -3 - 
  2/a^4 - 5/a^2 + a^2 + 1/(a^3 z) + 2/(a z) - a^3/z - z/a^5 - (2 z)/
  a^3 - (4 z)/a + 3 a^3 z + 8 z^2 + (4 z^2)/a^6 + (6 z^2)/a^4 + (
  10 z^2)/a^2 - (2 z^3)/a^7 + (5 z^3)/a^5 + (6 z^3)/a^3 + (3 z^3)/a + 
  a z^3 - 3 a^3 z^3 - 11 z^4 - (7 z^4)/a^6 - (4 z^4)/a^4 - (5 z^4)/
  a^2 - 3 a^2 z^4 + z^5/a^7 - (8 z^5)/a^5 - (10 z^5)/a^3 - (6 z^5)/
  a - 4 a z^5 + a^3 z^5 + 3 z^6 + (3 z^6)/a^6 - (2 z^6)/a^4 - (4 z^6)/
  a^2 + 2 a^2 z^6 + (4 z^7)/a^5 + (5 z^7)/a^3 + (4 z^7)/a + 3 a z^7 + 
  2 z^8 + (3 z^8)/a^4 + (5 z^8)/a^2 + z^9/a^3 + z^9/a, -8 - 2/a^6 - 9/
  a^4 - 14/a^2 + 1/(a^5 z) + 5/(a^3 z) + 8/(a z) + (4 a)/z + z/a^7 - (
  9 z)/a^3 - (20 z)/a - 12 a z + 14 z^2 + (9 z^2)/a^6 + (23 z^2)/
  a^4 + (28 z^2)/a^2 + z^3/a^9 - (4 z^3)/a^7 + (4 z^3)/a^5 + (20 z^3)/
  a^3 + (24 z^3)/a + 13 a z^3 - 5 z^4 + (3 z^4)/a^8 - (15 z^4)/a^6 - (
  22 z^4)/a^4 - (9 z^4)/a^2 + (6 z^5)/a^7 - (14 z^5)/a^5 - (26 z^5)/
  a^3 - (12 z^5)/a - 6 a z^5 - 2 z^6 + (9 z^6)/a^6 - (11 z^6)/a^2 + (
  8 z^7)/a^5 + (7 z^7)/a^3 + a z^7 + z^8 + (4 z^8)/a^4 + (5 z^8)/a^2 +
   z^9/a^3 + z^9/a, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z - z/a^5 + (3 z)/
  a + 7 a z + 5 a^3 z - 5 z^2 + (2 z^2)/a^6 - (3 z^2)/a^4 - (7 z^2)/
  a^2 - 3 a^2 z^2 - (2 z^3)/a^7 + (6 z^3)/a^5 + (4 z^3)/a^3 - (7 z^3)/
  a - 7 a z^3 - 4 a^3 z^3 + z^4 - (7 z^4)/a^6 + (7 z^4)/a^4 + (
  16 z^4)/a^2 - a^2 z^4 + z^5/a^7 - (10 z^5)/a^5 - (4 z^5)/a^3 + (
  7 z^5)/a + a z^5 + a^3 z^5 + (3 z^6)/a^6 - (7 z^6)/a^4 - (11 z^6)/
  a^2 + a^2 z^6 + (4 z^7)/a^5 + z^7/a^3 - (2 z^7)/a + a z^7 + z^8 + (
  3 z^8)/a^4 + (4 z^8)/a^2 + z^9/a^3 + z^9/a, -a^4 + a^3/z + a^5/z - 
  z/a^5 + z/a - 2 a^3 z - 2 a^5 z - (7 z^2)/a^4 - (7 z^2)/a^2 + (
  6 z^3)/a^5 - (6 z^3)/a + a^3 z^3 + a^5 z^3 + (17 z^4)/a^4 + (
  18 z^4)/a^2 + a^4 z^4 - (5 z^5)/a^5 + (3 z^5)/a^3 + (6 z^5)/a - 
  a z^5 + a^3 z^5 - 2 z^6 - (11 z^6)/a^4 - (14 z^6)/a^2 + a^2 z^6 + 
  z^7/a^5 - (4 z^7)/a^3 - (4 z^7)/a + a z^7 + z^8 + (2 z^8)/a^4 + (
  3 z^8)/a^2 + z^9/a^3 + z^9/a, -5 a^8 - 5 a^10 + a^14 + (3 a^7)/z + (
  5 a^9)/z + (2 a^11)/z - 10 a^7 z - 14 a^9 z - 5 a^11 z - a^13 z + 
  7 a^8 z^2 + 4 a^10 z^2 - a^12 z^2 + 2 a^14 z^2 - 2 a^5 z^3 + 
  18 a^7 z^3 + 27 a^9 z^3 + 11 a^11 z^3 + 3 a^13 z^3 - a^15 z^3 - 
  5 a^6 z^4 + 2 a^8 z^4 + 13 a^10 z^4 - a^12 z^4 - 7 a^14 z^4 + 
  a^5 z^5 - 16 a^7 z^5 - 22 a^9 z^5 - 16 a^11 z^5 - 10 a^13 z^5 + 
  a^15 z^5 + 3 a^6 z^6 - 8 a^8 z^6 - 20 a^10 z^6 - 5 a^12 z^6 + 
  4 a^14 z^6 + 6 a^7 z^7 + 6 a^9 z^7 + 6 a^11 z^7 + 6 a^13 z^7 + 
  5 a^8 z^8 + 10 a^10 z^8 + 5 a^12 z^8 + 2 a^9 z^9 + 2 a^11 z^9, 
 a^6 - 3 a^8 - 5 a^10 - 2 a^12 - a^5/z + (2 a^9)/z + a^11/z + 
  3 a^5 z - 4 a^9 z - 2 a^11 z - a^13 z + 4 a^8 z^2 - 2 a^10 z^2 - 
  6 a^12 z^2 + a^3 z^3 - 6 a^5 z^3 + 3 a^7 z^3 + 15 a^9 z^3 + 
  9 a^11 z^3 + 4 a^13 z^3 + 3 a^4 z^4 - 8 a^6 z^4 - a^8 z^4 + 
  29 a^10 z^4 + 19 a^12 z^4 + 6 a^5 z^5 - 12 a^7 z^5 - 17 a^9 z^5 - 
  3 a^11 z^5 - 4 a^13 z^5 + 7 a^6 z^6 - 9 a^8 z^6 - 30 a^10 z^6 - 
  14 a^12 z^6 + 7 a^7 z^7 + a^9 z^7 - 5 a^11 z^7 + a^13 z^7 + 
  5 a^8 z^8 + 8 a^10 z^8 + 3 a^12 z^8 + 2 a^9 z^9 + 2 a^11 z^9, 
 a^2 - a/z - a^3/z - (2 z)/a - 5 a z - 5 a^3 z - 2 a^5 z + 4 z^2 + (
  2 z^2)/a^2 + 4 a^2 z^2 + 4 a^4 z^2 + 2 a^6 z^2 - z^3/a^3 + (7 z^3)/
  a + 24 a z^3 + 24 a^3 z^3 + 7 a^5 z^3 - a^7 z^3 - 6 z^4 - (6 z^4)/
  a^2 - 6 a^4 z^4 - 6 a^6 z^4 + z^5/a^3 - (12 z^5)/a - 33 a z^5 - 
  33 a^3 z^5 - 12 a^5 z^5 + a^7 z^5 - 4 z^6 + (4 z^6)/a^2 - 
  16 a^2 z^6 - 4 a^4 z^6 + 4 a^6 z^6 + (7 z^7)/a + 13 a z^7 + 
  13 a^3 z^7 + 7 a^5 z^7 + 6 z^8 + 12 a^2 z^8 + 6 a^4 z^8 + 2 a z^9 + 
  2 a^3 z^9, 
 a^2 - a/z - a^3/z - (2 z)/a^3 - (6 z)/a - 5 a z - a^3 z + 4 z^2 + (
  3 z^2)/a^4 + (6 z^2)/a^2 + 2 a^2 z^2 + a^4 z^2 - (2 z^3)/a^5 + (
  7 z^3)/a^3 + (27 z^3)/a + 27 a z^3 + 9 a^3 z^3 + 2 z^4 + z^4/a^6 - (
  8 z^4)/a^4 - (11 z^4)/a^2 + 2 a^2 z^4 - 2 a^4 z^4 + (4 z^5)/a^5 - (
  13 z^5)/a^3 - (40 z^5)/a - 34 a z^5 - 11 a^3 z^5 - 21 z^6 + (8 z^6)/
  a^4 - (2 z^6)/a^2 - 10 a^2 z^6 + a^4 z^6 + (10 z^7)/a^3 + (15 z^7)/
  a + 9 a z^7 + 4 a^3 z^7 + 12 z^8 + (7 z^8)/a^2 + 5 a^2 z^8 + (
  2 z^9)/a + 2 a z^9, 
 a^2 - a/z - a^3/z - (2 z)/a^3 - (6 z)/a - 5 a z - a^3 z - 2 z^2 + 
  z^2/a^4 + a^4 z^2 + (7 z^3)/a^3 + (25 z^3)/a + 29 a z^3 + 
  9 a^3 z^3 - 2 a^5 z^3 + 19 z^4 - (2 z^4)/a^4 + (7 z^4)/a^2 + 
  2 a^2 z^4 - 7 a^4 z^4 + a^6 z^4 - (10 z^5)/a^3 - (29 z^5)/a - 
  39 a z^5 - 16 a^3 z^5 + 4 a^5 z^5 - 34 z^6 + z^6/a^4 - (14 z^6)/
  a^2 - 11 a^2 z^6 + 8 a^4 z^6 + (4 z^7)/a^3 + (5 z^7)/a + 12 a z^7 + 
  11 a^3 z^7 + 15 z^8 + (6 z^8)/a^2 + 9 a^2 z^8 + (3 z^9)/a + 3 a z^9,
  a^2 - a/z - a^3/z + a z - 2 a^3 z - 5 a^5 z - a^7 z + a^9 z - 
  3 a^2 z^2 - 6 a^4 z^2 + 2 a^8 z^2 - a^10 z^2 + 8 a z^3 + 
  19 a^3 z^3 + 18 a^5 z^3 + 4 a^7 z^3 - 3 a^9 z^3 - 2 z^4 + 
  10 a^2 z^4 + 19 a^4 z^4 + a^6 z^4 - 5 a^8 z^4 + a^10 z^4 - 
  12 a z^5 - 23 a^3 z^5 - 21 a^5 z^5 - 7 a^7 z^5 + 3 a^9 z^5 + z^6 - 
  14 a^2 z^6 - 25 a^4 z^6 - 5 a^6 z^6 + 5 a^8 z^6 + 4 a z^7 + 
  4 a^3 z^7 + 6 a^5 z^7 + 6 a^7 z^7 + 5 a^2 z^8 + 10 a^4 z^8 + 
  5 a^6 z^8 + 2 a^3 z^9 + 2 a^5 z^9, 
 a^2 - a/z - a^3/z - (3 z)/a^3 - (5 z)/a + 2 a^3 z - 3 z^2 + (2 z^2)/
  a^4 - z^2/a^2 + a^2 z^2 + a^4 z^2 + (8 z^3)/a^3 + (18 z^3)/a + 
  14 a z^3 + a^3 z^3 - 3 a^5 z^3 + 15 z^4 - (3 z^4)/a^4 + (6 z^4)/
  a^2 - 2 a^2 z^4 - 7 a^4 z^4 + a^6 z^4 - (9 z^5)/a^3 - (19 z^5)/a - 
  23 a z^5 - 9 a^3 z^5 + 4 a^5 z^5 - 23 z^6 + z^6/a^4 - (10 z^6)/
  a^2 - 5 a^2 z^6 + 7 a^4 z^6 + (3 z^7)/a^3 + (3 z^7)/a + 8 a z^7 + 
  8 a^3 z^7 + 10 z^8 + (4 z^8)/a^2 + 6 a^2 z^8 + (2 z^9)/a + 2 a z^9, 
 a^2 - a/z - a^3/z + a z + a^3 z + (6 z^3)/a + 18 a z^3 + 
  18 a^3 z^3 + 6 a^5 z^3 + 4 z^4 - (4 z^4)/a^2 + 16 a^2 z^4 + 
  4 a^4 z^4 - 4 a^6 z^4 + z^5/a^3 - (16 z^5)/a - 39 a z^5 - 
  39 a^3 z^5 - 16 a^5 z^5 + a^7 z^5 - 16 z^6 + (5 z^6)/a^2 - 
  42 a^2 z^6 - 16 a^4 z^6 + 5 a^6 z^6 + (11 z^7)/a + 14 a z^7 + 
  14 a^3 z^7 + 11 a^5 z^7 + 12 z^8 + 24 a^2 z^8 + 12 a^4 z^8 + 
  5 a z^9 + 5 a^3 z^9, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z + z/a^3 - (2 z)/a - 
  12 a z - 14 a^3 z - 5 a^5 z + 2 z^2 + (3 z^2)/a^2 - 3 a^2 z^2 + 
  2 a^6 z^2 - (2 z^3)/a^3 + (2 z^3)/a + 22 a z^3 + 31 a^3 z^3 + 
  11 a^5 z^3 - 2 a^7 z^3 - 6 z^4 - (6 z^4)/a^2 + 9 a^2 z^4 + 
  3 a^4 z^4 - 6 a^6 z^4 + z^5/a^3 - (6 z^5)/a - 21 a z^5 - 
  27 a^3 z^5 - 12 a^5 z^5 + a^7 z^5 + (3 z^6)/a^2 - 12 a^2 z^6 - 
  6 a^4 z^6 + 3 a^6 z^6 + (4 z^7)/a + 8 a z^7 + 9 a^3 z^7 + 
  5 a^5 z^7 + 3 z^8 + 7 a^2 z^8 + 4 a^4 z^8 + a z^9 + a^3 z^9, 
 a^6 + a^3/z + (2 a^5)/z + (2 a^7)/z + a^9/z + a z - 3 a^3 z - 
  9 a^5 z - 11 a^7 z - 4 a^9 z + 2 a^11 z + 2 a^2 z^2 + a^4 z^2 - 
  7 a^6 z^2 - 5 a^8 z^2 + a^10 z^2 - 2 a z^3 + 3 a^3 z^3 + 
  20 a^5 z^3 + 23 a^7 z^3 + 5 a^9 z^3 - 3 a^11 z^3 - 6 a^2 z^4 - 
  3 a^4 z^4 + 15 a^6 z^4 + 8 a^8 z^4 - 4 a^10 z^4 + a z^5 - 
  7 a^3 z^5 - 18 a^5 z^5 - 17 a^7 z^5 - 6 a^9 z^5 + a^11 z^5 + 
  3 a^2 z^6 - 2 a^4 z^6 - 13 a^6 z^6 - 6 a^8 z^6 + 2 a^10 z^6 + 
  4 a^3 z^7 + 6 a^5 z^7 + 5 a^7 z^7 + 3 a^9 z^7 + 3 a^4 z^8 + 
  6 a^6 z^8 + 3 a^8 z^8 + a^5 z^9 + a^7 z^9, -3 - 1/a^4 - 3/a^2 + 1/(
  a^3 z) + 3/(a z) + (2 a)/z + z/a^5 - z/a^3 - (10 z)/a - 11 a z - 
  3 a^3 z + 9 z^2 - z^2/a^6 + (4 z^2)/a^4 + (12 z^2)/a^2 + 
  4 a^2 z^2 + 2 a^4 z^2 - (3 z^3)/a^5 + z^3/a^3 + (17 z^3)/a + 
  23 a z^3 + 10 a^3 z^3 - 6 z^4 + z^4/a^6 - (6 z^4)/a^4 - (15 z^4)/
  a^2 - a^2 z^4 - 3 a^4 z^4 + (3 z^5)/a^5 - (4 z^5)/a^3 - (20 z^5)/
  a - 23 a z^5 - 10 a^3 z^5 - 8 z^6 + (5 z^6)/a^4 + (4 z^6)/a^2 - 
  6 a^2 z^6 + a^4 z^6 + (5 z^7)/a^3 + (8 z^7)/a + 6 a z^7 + 
  3 a^3 z^7 + 6 z^8 + (3 z^8)/a^2 + 3 a^2 z^8 + z^9/a + a z^9, -3 - 
  3 a^2 - a^4 + 2/(a z) + (3 a)/z + a^3/z + z/a^5 - (3 z)/a^3 - (
  14 z)/a - 13 a z - 3 a^3 z + 10 z^2 - z^2/a^6 + (2 z^2)/a^4 + (
  6 z^2)/a^2 + 10 a^2 z^2 + 3 a^4 z^2 - (3 z^3)/a^5 + (7 z^3)/a^3 + (
  30 z^3)/a + 28 a z^3 + 8 a^3 z^3 - 6 z^4 + z^4/a^6 - (5 z^4)/a^4 - (
  8 z^4)/a^2 - 7 a^2 z^4 - 3 a^4 z^4 + (3 z^5)/a^5 - (8 z^5)/a^3 - (
  31 z^5)/a - 29 a z^5 - 9 a^3 z^5 - 10 z^6 + (5 z^6)/a^4 - 
  4 a^2 z^6 + a^4 z^6 + (6 z^7)/a^3 + (11 z^7)/a + 8 a z^7 + 
  3 a^3 z^7 + 7 z^8 + (4 z^8)/a^2 + 3 a^2 z^8 + z^9/a + 
  a z^9, -(1/a^8) - 3/a^6 - 3/a^4 + 1/(a^7 z) + 3/(a^5 z) + 2/(
  a^3 z) - (2 z)/a^9 - (10 z)/a^7 - (15 z)/a^5 - (6 z)/a^3 + z/a + (
  3 z^2)/a^10 + (12 z^2)/a^8 + (14 z^2)/a^6 + (7 z^2)/a^4 + (2 z^2)/
  a^2 - z^3/a^11 + (5 z^3)/a^9 + (28 z^3)/a^7 + (32 z^3)/a^5 + (
  8 z^3)/a^3 - (2 z^3)/a - (7 z^4)/a^10 - (18 z^4)/a^8 - (13 z^4)/
  a^6 - (7 z^4)/a^4 - (5 z^4)/a^2 + z^5/a^11 - (10 z^5)/a^9 - (
  34 z^5)/a^7 - (33 z^5)/a^5 - (9 z^5)/a^3 + z^5/a + (4 z^6)/a^10 + (
  3 z^6)/a^8 - (5 z^6)/a^6 - z^6/a^4 + (3 z^6)/a^2 + (6 z^7)/a^9 + (
  14 z^7)/a^7 + (13 z^7)/a^5 + (5 z^7)/a^3 + (4 z^8)/a^8 + (8 z^8)/
  a^6 + (4 z^8)/a^4 + z^9/a^7 + z^9/a^5, -3 - 1/a^4 - 3/a^2 + 1/(
  a^3 z) + 3/(a z) + (2 a)/z - (4 z)/a^5 - (13 z)/a^3 - (16 z)/a - 
  7 a z + z^2 - z^2/a^8 + (4 z^2)/a^6 + (11 z^2)/a^4 + (7 z^2)/a^2 + 
  z^3/a^9 - (3 z^3)/a^7 + (9 z^3)/a^5 + (36 z^3)/a^3 + (32 z^3)/a + 
  9 a z^3 + 8 z^4 + (3 z^4)/a^8 - (10 z^4)/a^6 - (13 z^4)/a^4 + (
  8 z^4)/a^2 + (5 z^5)/a^7 - (14 z^5)/a^5 - (35 z^5)/a^3 - (21 z^5)/
  a - 5 a z^5 - 8 z^6 + (7 z^6)/a^6 - (3 z^6)/a^4 - (18 z^6)/a^2 + (
  7 z^7)/a^5 + (8 z^7)/a^3 + (2 z^7)/a + a z^7 + 2 z^8 + (4 z^8)/
  a^4 + (6 z^8)/a^2 + z^9/a^3 + z^9/a, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/
  z + (3 a^5)/z + a^7/z - 4 a z - 15 a^3 z - 16 a^5 z - 5 a^7 z + 
  2 z^2 + 3 a^2 z^2 + 6 a^4 z^2 + 9 a^6 z^2 + 3 a^8 z^2 - a^10 z^2 + 
  10 a z^3 + 32 a^3 z^3 + 35 a^5 z^3 + 10 a^7 z^3 - 3 a^9 z^3 - 
  3 z^4 - a^2 z^4 + 3 a^4 z^4 - 6 a^6 z^4 - 6 a^8 z^4 + a^10 z^4 - 
  10 a z^5 - 29 a^3 z^5 - 32 a^5 z^5 - 10 a^7 z^5 + 3 a^9 z^5 + z^6 - 
  6 a^2 z^6 - 14 a^4 z^6 - 2 a^6 z^6 + 5 a^8 z^6 + 3 a z^7 + 
  7 a^3 z^7 + 10 a^5 z^7 + 6 a^7 z^7 + 3 a^2 z^8 + 7 a^4 z^8 + 
  4 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 a^2 - a/z - a^3/z - (2 z)/a^5 - (4 z)/a^3 + 5 a z + 3 a^3 z - 
  2 z^2 + (3 z^2)/a^6 + (2 z^2)/a^4 - (4 z^2)/a^2 + a^2 z^2 - (2 z^3)/
  a^7 + (6 z^3)/a^5 + (13 z^3)/a^3 + z^3/a - 7 a z^3 - 3 a^3 z^3 - (
  7 z^4)/a^6 + (11 z^4)/a^2 - 4 a^2 z^4 + z^5/a^7 - (9 z^5)/a^5 - (
  12 z^5)/a^3 - (3 z^5)/a + a^3 z^5 - z^6 + (3 z^6)/a^6 - (4 z^6)/
  a^4 - (10 z^6)/a^2 + 2 a^2 z^6 + (4 z^7)/a^5 + (4 z^7)/a^3 + (
  2 z^7)/a + 2 a z^7 + 2 z^8 + (3 z^8)/a^4 + (5 z^8)/a^2 + z^9/a^3 + 
  z^9/a, a^2 - a/z - a^3/z + (2 z)/a + 5 a z + a^3 z - 4 a^5 z - 
  2 a^7 z - z^2/a^2 - 2 a^4 z^2 + a^6 z^2 + 2 a^8 z^2 - (4 z^3)/a - 
  5 a z^3 + 7 a^3 z^3 + 17 a^5 z^3 + 9 a^7 z^3 - 3 z^4 + z^4/a^2 - 
  3 a^2 z^4 + 6 a^4 z^4 + 2 a^6 z^4 - 3 a^8 z^4 + (3 z^5)/a - a z^5 - 
  14 a^3 z^5 - 20 a^5 z^5 - 10 a^7 z^5 + 4 z^6 - 12 a^4 z^6 - 
  7 a^6 z^6 + a^8 z^6 + 4 a z^7 + 6 a^3 z^7 + 5 a^5 z^7 + 3 a^7 z^7 + 
  3 a^2 z^8 + 6 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z - (5 z)/a - 14 a z - 
  12 a^3 z - 2 a^5 z + a^7 z - 5 z^2 - 7 a^2 z^2 + a^6 z^2 - 
  a^8 z^2 + (8 z^3)/a + 29 a z^3 + 31 a^3 z^3 + 5 a^5 z^3 - 
  4 a^7 z^3 + a^9 z^3 + 12 z^4 + 22 a^2 z^4 - 7 a^6 z^4 + 
  3 a^8 z^4 - (5 z^5)/a - 18 a z^5 - 29 a^3 z^5 - 11 a^5 z^5 + 
  5 a^7 z^5 - 9 z^6 - 22 a^2 z^6 - 7 a^4 z^6 + 6 a^6 z^6 + z^7/a + 
  a z^7 + 6 a^3 z^7 + 6 a^5 z^7 + 2 z^8 + 6 a^2 z^8 + 4 a^4 z^8 + 
  a z^9 + a^3 z^9, 
 a^6 + a^3/z + (2 a^5)/z + (2 a^7)/z + a^9/z - 5 a^3 z - 11 a^5 z - 
  12 a^7 z - 4 a^9 z + a^11 z - a^13 z - 3 a^4 z^2 - 8 a^6 z^2 + 
  4 a^10 z^2 - a^12 z^2 + 8 a^3 z^3 + 23 a^5 z^3 + 24 a^7 z^3 + 
  6 a^9 z^3 - 2 a^11 z^3 + a^13 z^3 + 11 a^4 z^4 + 20 a^6 z^4 + 
  a^8 z^4 - 6 a^10 z^4 + 2 a^12 z^4 - 5 a^3 z^5 - 14 a^5 z^5 - 
  20 a^7 z^5 - 8 a^9 z^5 + 3 a^11 z^5 - 9 a^4 z^6 - 19 a^6 z^6 - 
  6 a^8 z^6 + 4 a^10 z^6 + a^3 z^7 + 3 a^7 z^7 + 4 a^9 z^7 + 
  2 a^4 z^8 + 5 a^6 z^8 + 3 a^8 z^8 + a^5 z^9 + a^7 z^9, -3 - 1/a^4 - 
  3/a^2 + 1/(a^3 z) + 3/(a z) + (2 a)/z - (4 z)/a^3 - (12 z)/a - 
  9 a z + a^5 z + 3 z^2 + (4 z^2)/a^4 + (7 z^2)/a^2 + a^2 z^2 - 
  a^6 z^2 + (7 z^3)/a^3 + (19 z^3)/a + 17 a z^3 + a^3 z^3 - 
  4 a^5 z^3 + 7 z^4 - (4 z^4)/a^4 - (3 z^4)/a^2 + a^2 z^4 - 
  4 a^4 z^4 + a^6 z^4 - (7 z^5)/a^3 - (14 z^5)/a - 14 a z^5 - 
  4 a^3 z^5 + 3 a^5 z^5 - 12 z^6 + z^6/a^4 - (4 z^6)/a^2 - 
  3 a^2 z^6 + 4 a^4 z^6 + (2 z^7)/a^3 + (2 z^7)/a + 4 a z^7 + 
  4 a^3 z^7 + 5 z^8 + (2 z^8)/a^2 + 3 a^2 z^8 + z^9/a + a z^9, 
 1/a^2 + 1/(a^5 z) + 2/(a^3 z) + 2/(a z) + a/z + z/a^7 - (3 z)/a^5 - (
  11 z)/a^3 - (9 z)/a - 2 a z + (2 z^2)/a^6 - (2 z^2)/a^4 - (5 z^2)/
  a^2 + a^2 z^2 - (2 z^3)/a^7 + (5 z^3)/a^5 + (23 z^3)/a^3 + (24 z^3)/
  a + 7 a z^3 - a^3 z^3 - (5 z^4)/a^6 + (3 z^4)/a^4 + (14 z^4)/a^2 - 
  6 a^2 z^4 + z^5/a^7 - (8 z^5)/a^5 - (23 z^5)/a^3 - (28 z^5)/a - 
  13 a z^5 + a^3 z^5 - 7 z^6 + (3 z^6)/a^6 - (6 z^6)/a^4 - (20 z^6)/
  a^2 + 4 a^2 z^6 + (5 z^7)/a^5 + (8 z^7)/a^3 + (10 z^7)/a + 
  7 a z^7 + 6 z^8 + (5 z^8)/a^4 + (11 z^8)/a^2 + (2 z^9)/a^3 + (
  2 z^9)/a, 
 1/a^2 - 1/(a^3 z) - 1/(a z) + (2 z)/a^3 - 5 a z - 3 a^3 z - 3 z^2 - 
  z^2/a^2 + a^2 z^2 + 3 a^4 z^2 + (5 z^3)/a^3 + (19 z^3)/a + 
  27 a z^3 + 12 a^3 z^3 - a^5 z^3 + 22 z^4 - z^4/a^4 + (11 z^4)/a^2 + 
  a^2 z^4 - 8 a^4 z^4 + a^6 z^4 - (11 z^5)/a^3 - (30 z^5)/a - 
  42 a z^5 - 19 a^3 z^5 + 4 a^5 z^5 - 42 z^6 + z^6/a^4 - (19 z^6)/
  a^2 - 13 a^2 z^6 + 9 a^4 z^6 + (5 z^7)/a^3 + (5 z^7)/a + 13 a z^7 + 
  13 a^3 z^7 + 19 z^8 + (8 z^8)/a^2 + 11 a^2 z^8 + (4 z^9)/a + 
  4 a z^9, 1/a^2 - 1/(a^3 z) - 1/(a z) - (3 z)/a^5 - (4 z)/a^3 + 
  a z + 2 z^2 + (2 z^2)/a^6 + (2 z^2)/a^4 + (2 z^2)/a^2 - z^3/a^7 + (
  9 z^3)/a^5 + (26 z^3)/a^3 + (22 z^3)/a + 6 a z^3 - 5 z^4 - (5 z^4)/
  a^6 - z^4/a^4 + (4 z^4)/a^2 - 5 a^2 z^4 + z^5/a^7 - (13 z^5)/a^5 - (
  39 z^5)/a^3 - (42 z^5)/a - 16 a z^5 + a^3 z^5 - 8 z^6 + (4 z^6)/
  a^6 - (8 z^6)/a^4 - (25 z^6)/a^2 + 5 a^2 z^6 + (8 z^7)/a^5 + (
  15 z^7)/a^3 + (17 z^7)/a + 10 a z^7 + 9 z^8 + (8 z^8)/a^4 + (
  17 z^8)/a^2 + (3 z^9)/a^3 + (3 z^9)/a, -3 a^8 - 3 a^10 - a^12 + (
  2 a^7)/z + (3 a^9)/z + a^11/z + 2 a^5 z - 7 a^7 z - 12 a^9 z - 
  5 a^11 z - 2 a^13 z + a^6 z^2 + 7 a^8 z^2 + 5 a^10 z^2 + 
  2 a^12 z^2 + 3 a^14 z^2 - 3 a^5 z^3 + 8 a^7 z^3 + 16 a^9 z^3 + 
  13 a^11 z^3 + 6 a^13 z^3 - 2 a^15 z^3 - 4 a^6 z^4 - 6 a^8 z^4 + 
  5 a^10 z^4 - 7 a^14 z^4 + a^5 z^5 - 7 a^7 z^5 - 10 a^9 z^5 - 
  12 a^11 z^5 - 9 a^13 z^5 + a^15 z^5 + 2 a^6 z^6 - 9 a^10 z^6 - 
  4 a^12 z^6 + 3 a^14 z^6 + 3 a^7 z^7 + 3 a^9 z^7 + 4 a^11 z^7 + 
  4 a^13 z^7 + 2 a^8 z^8 + 5 a^10 z^8 + 3 a^12 z^8 + a^9 z^9 + 
  a^11 z^9, 
 a^6 - a^5/z - a^7/z - a^3 z + 3 a^5 z + 3 a^7 z - a^11 z - 2 a^13 z -
   a^4 z^2 - a^6 z^2 + 2 a^8 z^2 - 5 a^10 z^2 - 7 a^12 z^2 + 
  a^3 z^3 - 3 a^5 z^3 - a^7 z^3 + 3 a^9 z^3 + 7 a^11 z^3 + 
  7 a^13 z^3 + 2 a^4 z^4 - 2 a^6 z^4 - 4 a^8 z^4 + 15 a^10 z^4 + 
  15 a^12 z^4 + 3 a^5 z^5 - 4 a^7 z^5 - 6 a^9 z^5 - 4 a^11 z^5 - 
  5 a^13 z^5 + 3 a^6 z^6 - 2 a^8 z^6 - 15 a^10 z^6 - 10 a^12 z^6 + 
  3 a^7 z^7 - 2 a^11 z^7 + a^13 z^7 + 2 a^8 z^8 + 4 a^10 z^8 + 
  2 a^12 z^8 + a^9 z^9 + a^11 z^9, -3 a^8 - 3 a^10 - a^12 + (2 a^7)/
  z + (3 a^9)/z + a^11/z - 9 a^7 z - 9 a^9 z + a^13 z + a^15 z + 
  7 a^8 z^2 + 6 a^10 z^2 + 3 a^12 z^2 + 3 a^14 z^2 - a^16 z^2 + 
  12 a^7 z^3 + 11 a^9 z^3 + 4 a^11 z^3 - 4 a^15 z^3 + a^17 z^3 - 
  a^8 z^4 + 5 a^10 z^4 - 5 a^12 z^4 - 8 a^14 z^4 + 3 a^16 z^4 - 
  6 a^7 z^5 - 4 a^9 z^5 - 10 a^11 z^5 - 7 a^13 z^5 + 5 a^15 z^5 - 
  3 a^8 z^6 - 12 a^10 z^6 - 3 a^12 z^6 + 6 a^14 z^6 + a^7 z^7 - 
  2 a^9 z^7 + 2 a^11 z^7 + 5 a^13 z^7 + a^8 z^8 + 4 a^10 z^8 + 
  3 a^12 z^8 + a^9 z^9 + a^11 z^9, 
 a^6 - a^5/z - a^7/z + 4 a^5 z + 3 a^7 z + a^9 z + a^11 z + a^15 z - 
  a^6 z^2 - a^8 z^2 - 8 a^10 z^2 - 5 a^12 z^2 + 3 a^14 z^2 - 
  4 a^5 z^3 - 3 a^7 z^3 - 6 a^9 z^3 - 2 a^11 z^3 + 2 a^13 z^3 - 
  3 a^15 z^3 - 2 a^6 z^4 + 2 a^8 z^4 + 20 a^10 z^4 + 10 a^12 z^4 - 
  6 a^14 z^4 + a^5 z^5 - a^7 z^5 + 9 a^9 z^5 + 5 a^11 z^5 - 
  5 a^13 z^5 + a^15 z^5 + a^6 z^6 - 2 a^8 z^6 - 12 a^10 z^6 - 
  7 a^12 z^6 + 2 a^14 z^6 + a^7 z^7 - 4 a^9 z^7 - 3 a^11 z^7 + 
  2 a^13 z^7 + a^8 z^8 + 3 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + 
  a^11 z^9, -3 - 3 a^2 - a^4 + 2/(a z) + (3 a)/z + a^3/z - (5 z)/a - 
  10 a z - 7 a^3 z - 2 a^5 z + a^2 z^2 + 3 a^4 z^2 + 2 a^6 z^2 - z^3/
  a^3 + (10 z^3)/a + 28 a z^3 + 23 a^3 z^3 + 5 a^5 z^3 - a^7 z^3 + 
  7 z^4 - (5 z^4)/a^2 + 17 a^2 z^4 - a^4 z^4 - 6 a^6 z^4 + z^5/a^3 - (
  15 z^5)/a - 32 a z^5 - 28 a^3 z^5 - 11 a^5 z^5 + a^7 z^5 - 
  13 z^6 + (4 z^6)/a^2 - 29 a^2 z^6 - 8 a^4 z^6 + 4 a^6 z^6 + (8 z^7)/
  a + 10 a z^7 + 9 a^3 z^7 + 7 a^5 z^7 + 8 z^8 + 15 a^2 z^8 + 
  7 a^4 z^8 + 3 a z^9 + 3 a^3 z^9, -3 a^8 - 3 a^10 - a^12 + (2 a^7)/
  z + (3 a^9)/z + a^11/z - 9 a^7 z - 9 a^9 z + a^13 z + a^15 z + 
  4 a^8 z^2 - 2 a^10 z^2 - 3 a^12 z^2 + 3 a^14 z^2 - 2 a^5 z^3 + 
  17 a^7 z^3 + 19 a^9 z^3 + a^11 z^3 - a^13 z^3 - 2 a^15 z^3 - 
  5 a^6 z^4 + 4 a^8 z^4 + 18 a^10 z^4 + 3 a^12 z^4 - 6 a^14 z^4 + 
  a^5 z^5 - 16 a^7 z^5 - 16 a^9 z^5 - 5 a^11 z^5 - 5 a^13 z^5 + 
  a^15 z^5 + 3 a^6 z^6 - 9 a^8 z^6 - 20 a^10 z^6 - 5 a^12 z^6 + 
  3 a^14 z^6 + 6 a^7 z^7 + 4 a^9 z^7 + 2 a^11 z^7 + 4 a^13 z^7 + 
  5 a^8 z^8 + 9 a^10 z^8 + 4 a^12 z^8 + 2 a^9 z^9 + 2 a^11 z^9, -1 - 
  3 a^2 - 3 a^4 + a/z + (3 a^3)/z + (2 a^5)/z - (2 z)/a - 5 a z - 
  12 a^3 z - 7 a^5 z + 2 a^7 z - 6 z^2 - a^2 z^2 + 7 a^4 z^2 + 
  2 a^6 z^2 + (5 z^3)/a + 17 a z^3 + 31 a^3 z^3 + 13 a^5 z^3 - 
  5 a^7 z^3 + a^9 z^3 + 17 z^4 + 26 a^2 z^4 - 4 a^4 z^4 - 
  10 a^6 z^4 + 3 a^8 z^4 - (4 z^5)/a - 10 a z^5 - 31 a^3 z^5 - 
  19 a^5 z^5 + 6 a^7 z^5 - 13 z^6 - 31 a^2 z^6 - 10 a^4 z^6 + 
  8 a^6 z^6 + z^7/a - 3 a z^7 + 5 a^3 z^7 + 9 a^5 z^7 + 3 z^8 + 
  9 a^2 z^8 + 6 a^4 z^8 + 2 a z^9 + 2 a^3 z^9, -3 a^4 - 3 a^6 - 
  a^8 + (2 a^3)/z + (3 a^5)/z + a^7/z - 2 a z - 9 a^3 z - 10 a^5 z - 
  3 a^7 z + 2 z^2 + 4 a^2 z^2 + 6 a^4 z^2 + 7 a^6 z^2 + 3 a^8 z^2 - (
  2 z^3)/a + 8 a z^3 + 27 a^3 z^3 + 24 a^5 z^3 + 7 a^7 z^3 - 8 z^4 + 
  z^4/a^2 - 7 a^2 z^4 + 3 a^4 z^4 - 2 a^6 z^4 - 3 a^8 z^4 + (4 z^5)/
  a - 14 a z^5 - 36 a^3 z^5 - 26 a^5 z^5 - 8 a^7 z^5 + 8 z^6 - 
  4 a^2 z^6 - 20 a^4 z^6 - 7 a^6 z^6 + a^8 z^6 + 10 a z^7 + 
  13 a^3 z^7 + 6 a^5 z^7 + 3 a^7 z^7 + 7 a^2 z^8 + 11 a^4 z^8 + 
  4 a^6 z^8 + 2 a^3 z^9 + 2 a^5 z^9, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z + z/a^3 - (5 z)/a - 
  17 a z - 15 a^3 z - 4 a^5 z + 2 z^2 + (5 z^2)/a^2 - 7 a^2 z^2 - 
  4 a^4 z^2 + z^3/a^5 - (4 z^3)/a^3 + (13 z^3)/a + 44 a z^3 + 
  32 a^3 z^3 + 6 a^5 z^3 + (3 z^4)/a^4 - (13 z^4)/a^2 + 30 a^2 z^4 + 
  14 a^4 z^4 + (6 z^5)/a^3 - (21 z^5)/a - 42 a z^5 - 19 a^3 z^5 - 
  4 a^5 z^5 - 13 z^6 + (9 z^6)/a^2 - 34 a^2 z^6 - 12 a^4 z^6 + (
  10 z^7)/a + 8 a z^7 - a^3 z^7 + a^5 z^7 + 7 z^8 + 10 a^2 z^8 + 
  3 a^4 z^8 + 2 a z^9 + 2 a^3 z^9, 
 a^6 + a^3/z + (2 a^5)/z + (2 a^7)/z + a^9/z + a z - 5 a^3 z - 
  12 a^5 z - 12 a^7 z - 5 a^9 z + a^11 z + a^2 z^2 - 2 a^4 z^2 - 
  6 a^6 z^2 - 2 a^8 z^2 + a^10 z^2 - 2 a z^3 + 6 a^3 z^3 + 
  26 a^5 z^3 + 26 a^7 z^3 + 6 a^9 z^3 - 2 a^11 z^3 - 5 a^2 z^4 + 
  5 a^4 z^4 + 20 a^6 z^4 + 5 a^8 z^4 - 5 a^10 z^4 + a z^5 - 
  9 a^3 z^5 - 22 a^5 z^5 - 22 a^7 z^5 - 9 a^9 z^5 + a^11 z^5 + 
  3 a^2 z^6 - 8 a^4 z^6 - 22 a^6 z^6 - 8 a^8 z^6 + 3 a^10 z^6 + 
  5 a^3 z^7 + 6 a^5 z^7 + 6 a^7 z^7 + 5 a^9 z^7 + 5 a^4 z^8 + 
  10 a^6 z^8 + 5 a^8 z^8 + 2 a^5 z^9 + 2 a^7 z^9, 
 a^2 - a/z - a^3/z - z/a^5 - (5 z)/a^3 - (5 z)/a + 2 a z + 3 a^3 z - 
  2 z^2 + (2 z^2)/a^6 + (6 z^2)/a^4 + (2 z^2)/a^2 - z^3/a^7 + (5 z^3)/
  a^5 + (21 z^3)/a^3 + (17 z^3)/a - a z^3 - 3 a^3 z^3 + z^4 - (7 z^4)/
  a^6 - (11 z^4)/a^4 - 3 a^2 z^4 + z^5/a^7 - (11 z^5)/a^5 - (27 z^5)/
  a^3 - (19 z^5)/a - 3 a z^5 + a^3 z^5 - 2 z^6 + (4 z^6)/a^6 - (
  8 z^6)/a^2 + 2 a^2 z^6 + (6 z^7)/a^5 + (11 z^7)/a^3 + (8 z^7)/a + 
  3 a z^7 + 3 z^8 + (4 z^8)/a^4 + (7 z^8)/a^2 + z^9/a^3 + z^9/a, 
 a^6 - a^5/z - a^7/z + a z - a^3 z + a^5 z + a^7 z - a^9 z + a^11 z + 
  3 a^2 z^2 + 3 a^4 z^2 + 3 a^8 z^2 + 3 a^10 z^2 - 2 a z^3 + 
  2 a^3 z^3 + 7 a^5 z^3 + 7 a^7 z^3 + 2 a^9 z^3 - 2 a^11 z^3 - 
  6 a^2 z^4 - 6 a^4 z^4 - 6 a^8 z^4 - 6 a^10 z^4 + a z^5 - 
  6 a^3 z^5 - 14 a^5 z^5 - 14 a^7 z^5 - 6 a^9 z^5 + a^11 z^5 + 
  3 a^2 z^6 - 6 a^6 z^6 + 3 a^10 z^6 + 4 a^3 z^7 + 7 a^5 z^7 + 
  7 a^7 z^7 + 4 a^9 z^7 + 3 a^4 z^8 + 6 a^6 z^8 + 3 a^8 z^8 + 
  a^5 z^9 + a^7 z^9, -3 - 3 a^2 - a^4 + 2/(a z) + (3 a)/z + a^3/z - z/
  a^3 - (10 z)/a - 15 a z - 6 a^3 z + 5 z^2 + z^2/a^4 + (2 z^2)/a^2 + 
  10 a^2 z^2 + 5 a^4 z^2 - a^6 z^2 + (8 z^3)/a^3 + (26 z^3)/a + 
  33 a z^3 + 13 a^3 z^3 - 2 a^5 z^3 + 6 z^4 - (2 z^4)/a^4 + (3 z^4)/
  a^2 - 7 a^2 z^4 - 7 a^4 z^4 + a^6 z^4 - (11 z^5)/a^3 - (30 z^5)/a - 
  35 a z^5 - 13 a^3 z^5 + 3 a^5 z^5 - 22 z^6 + z^6/a^4 - (11 z^6)/
  a^2 - 4 a^2 z^6 + 6 a^4 z^6 + (4 z^7)/a^3 + (7 z^7)/a + 11 a z^7 + 
  8 a^3 z^7 + 11 z^8 + (5 z^8)/a^2 + 6 a^2 z^8 + (2 z^9)/a + 
  2 a z^9, -1 - 3 a^2 - 3 a^4 + a/z + (3 a^3)/z + (2 a^5)/z - z/a - 
  3 a z - 12 a^3 z - 9 a^5 z + a^7 z + 3 z^2 + (2 z^2)/a^2 + 
  10 a^2 z^2 + 10 a^4 z^2 + a^6 z^2 - z^3/a^3 + (6 z^3)/a + 
  15 a z^3 + 23 a^3 z^3 + 13 a^5 z^3 - 2 a^7 z^3 - 4 z^4 - (6 z^4)/
  a^2 - 3 a^2 z^4 - 9 a^4 z^4 - 4 a^6 z^4 + z^5/a^3 - (12 z^5)/a - 
  26 a z^5 - 26 a^3 z^5 - 12 a^5 z^5 + a^7 z^5 - 5 z^6 + (4 z^6)/
  a^2 - 14 a^2 z^6 - 2 a^4 z^6 + 3 a^6 z^6 + (7 z^7)/a + 11 a z^7 + 
  10 a^3 z^7 + 6 a^5 z^7 + 6 z^8 + 11 a^2 z^8 + 5 a^4 z^8 + 2 a z^9 + 
  2 a^3 z^9, 
 1/a^2 + 1/(a^5 z) + 2/(a^3 z) + 2/(a z) + a/z - (4 z)/a^5 - (12 z)/
  a^3 - (12 z)/a - 4 a z - z^2 + z^2/a^6 - z^2/a^4 - (4 z^2)/a^2 + 
  a^2 z^2 - z^3/a^7 + (9 z^3)/a^5 + (31 z^3)/a^3 + (31 z^3)/a + 
  9 a z^3 - a^3 z^3 + 4 z^4 - (5 z^4)/a^6 + (4 z^4)/a^4 + (18 z^4)/
  a^2 - 5 a^2 z^4 + z^5/a^7 - (14 z^5)/a^5 - (36 z^5)/a^3 - (36 z^5)/
  a - 14 a z^5 + a^3 z^5 - 11 z^6 + (4 z^6)/a^6 - (11 z^6)/a^4 - (
  30 z^6)/a^2 + 4 a^2 z^6 + (8 z^7)/a^5 + (12 z^7)/a^3 + (12 z^7)/a + 
  8 a z^7 + 8 z^8 + (8 z^8)/a^4 + (16 z^8)/a^2 + (3 z^9)/a^3 + (
  3 z^9)/a, 
 a^6 - a^5/z - a^7/z + 3 a^5 z + a^7 z + a^9 z + 3 a^11 z + a^13 z + 
  a^15 z + 6 a^8 z^2 + 3 a^10 z^2 + 3 a^14 z^2 - 3 a^5 z^3 + 
  a^7 z^3 - 2 a^9 z^3 - 3 a^11 z^3 + a^13 z^3 - 2 a^15 z^3 - 
  3 a^6 z^4 - 10 a^8 z^4 - 4 a^10 z^4 - 3 a^12 z^4 - 6 a^14 z^4 + 
  a^5 z^5 - 4 a^7 z^5 - 4 a^9 z^5 - 6 a^11 z^5 - 6 a^13 z^5 + 
  a^15 z^5 + 2 a^6 z^6 + 3 a^8 z^6 - 3 a^10 z^6 - a^12 z^6 + 
  3 a^14 z^6 + 3 a^7 z^7 + 4 a^9 z^7 + 5 a^11 z^7 + 4 a^13 z^7 + 
  2 a^8 z^8 + 5 a^10 z^8 + 3 a^12 z^8 + a^9 z^9 + a^11 z^9, -a^4 + 
  a^3/z + a^5/z - 7 a^3 z - 10 a^5 z - 3 a^7 z + 2 z^2 + 6 a^2 z^2 + 
  5 a^4 z^2 + 3 a^6 z^2 + 2 a^8 z^2 - (3 z^3)/a + a z^3 + 
  20 a^3 z^3 + 26 a^5 z^3 + 10 a^7 z^3 - 8 z^4 + z^4/a^2 - 
  13 a^2 z^4 - a^4 z^4 - 3 a^8 z^4 + (4 z^5)/a - 7 a z^5 - 
  27 a^3 z^5 - 26 a^5 z^5 - 10 a^7 z^5 + 7 z^6 + 3 a^2 z^6 - 
  11 a^4 z^6 - 6 a^6 z^6 + a^8 z^6 + 7 a z^7 + 11 a^3 z^7 + 
  7 a^5 z^7 + 3 a^7 z^7 + 4 a^2 z^8 + 7 a^4 z^8 + 3 a^6 z^8 + 
  a^3 z^9 + a^5 z^9, -1 + 1/(a z) + a/z + z/a^7 + (2 z)/a^5 - (4 z)/
  a^3 - (10 z)/a - 5 a z - 3 z^2 - (2 z^2)/a^8 - (3 z^2)/a^6 + z^2/
  a^4 - z^2/a^2 + z^3/a^9 - (3 z^3)/a^7 - (2 z^3)/a^5 + (17 z^3)/
  a^3 + (23 z^3)/a + 8 a z^3 + 11 z^4 + (3 z^4)/a^8 - (2 z^4)/a^6 - 
  z^4/a^4 + (15 z^4)/a^2 + (4 z^5)/a^7 - (5 z^5)/a^5 - (18 z^5)/
  a^3 - (14 z^5)/a - 5 a z^5 - 9 z^6 + (4 z^6)/a^6 - (5 z^6)/a^4 - (
  18 z^6)/a^2 + (4 z^7)/a^5 + (3 z^7)/a^3 + a z^7 + 2 z^8 + (3 z^8)/
  a^4 + (5 z^8)/a^2 + z^9/a^3 + z^9/a, -1 + 1/(a z) + a/z + z/a^5 - (
  6 z)/a - 8 a z - 3 a^3 z + z^2 - z^2/a^6 + z^2/a^4 + (3 z^2)/a^2 + 
  2 a^2 z^2 + 2 a^4 z^2 - (4 z^3)/a^5 + (17 z^3)/a + 22 a z^3 + 
  9 a^3 z^3 + 6 z^4 + z^4/a^6 - (4 z^4)/a^4 - (3 z^4)/a^2 + a^2 z^4 - 
  3 a^4 z^4 + (3 z^5)/a^5 - (3 z^5)/a^3 - (18 z^5)/a - 22 a z^5 - 
  10 a^3 z^5 - 13 z^6 + (4 z^6)/a^4 - z^6/a^2 - 7 a^2 z^6 + 
  a^4 z^6 + (4 z^7)/a^3 + (6 z^7)/a + 5 a z^7 + 3 a^3 z^7 + 6 z^8 + (
  3 z^8)/a^2 + 3 a^2 z^8 + z^9/a + a z^9, -1 + 1/(a z) + a/z - z/
  a^5 - (6 z)/a^3 - (8 z)/a - 2 a z + a^3 z + 5 z^2 + (2 z^2)/a^6 + (
  7 z^2)/a^4 + (7 z^2)/a^2 + 3 a^2 z^2 - z^3/a^7 + (5 z^3)/a^5 + (
  20 z^3)/a^3 + (19 z^3)/a + 3 a z^3 - 2 a^3 z^3 - 8 z^4 - (7 z^4)/
  a^6 - (11 z^4)/a^4 - (6 z^4)/a^2 - 6 a^2 z^4 + z^5/a^7 - (11 z^5)/
  a^5 - (26 z^5)/a^3 - (21 z^5)/a - 6 a z^5 + a^3 z^5 + z^6 + (4 z^6)/
  a^6 - (6 z^6)/a^2 + 3 a^2 z^6 + (6 z^7)/a^5 + (11 z^7)/a^3 + (
  9 z^7)/a + 4 a z^7 + 3 z^8 + (4 z^8)/a^4 + (7 z^8)/a^2 + z^9/a^3 + 
  z^9/a, -a^4 + a^3/z + a^5/z - (3 z)/a - 7 a z - 8 a^3 z - 3 a^5 z + 
  a^7 z + 3 z^2 + (3 z^2)/a^2 + 2 a^4 z^2 + 2 a^6 z^2 - (2 z^3)/
  a^3 + (7 z^3)/a + 22 a z^3 + 18 a^3 z^3 + 3 a^5 z^3 - 2 a^7 z^3 - 
  2 z^4 - (7 z^4)/a^2 + 8 a^2 z^4 - 3 a^4 z^4 - 6 a^6 z^4 + z^5/
  a^3 - (9 z^5)/a - 19 a z^5 - 17 a^3 z^5 - 7 a^5 z^5 + a^7 z^5 - 
  3 z^6 + (3 z^6)/a^2 - 11 a^2 z^6 - 2 a^4 z^6 + 3 a^6 z^6 + (4 z^7)/
  a + 6 a z^7 + 6 a^3 z^7 + 4 a^5 z^7 + 3 z^8 + 6 a^2 z^8 + 
  3 a^4 z^8 + a z^9 + a^3 z^9, -a^4 + a^3/z + a^5/z - 2 a z - 
  10 a^3 z - 9 a^5 z + a^9 z + z^2 - a^2 z^2 - 4 a^4 z^2 - a^6 z^2 - 
  a^10 z^2 + 10 a z^3 + 26 a^3 z^3 + 21 a^5 z^3 + a^7 z^3 - 
  4 a^9 z^3 - 3 z^4 + 6 a^2 z^4 + 16 a^4 z^4 + 2 a^6 z^4 - 4 a^8 z^4 +
   a^10 z^4 - 11 a z^5 - 22 a^3 z^5 - 18 a^5 z^5 - 4 a^7 z^5 + 
  3 a^9 z^5 + z^6 - 9 a^2 z^6 - 17 a^4 z^6 - 3 a^6 z^6 + 4 a^8 z^6 + 
  3 a z^7 + 4 a^3 z^7 + 5 a^5 z^7 + 4 a^7 z^7 + 3 a^2 z^8 + 
  6 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, -a^8 + a^7/z + a^9/z + 
  2 a^5 z - 5 a^7 z - 3 a^9 z + 3 a^11 z + a^13 z + 2 a^15 z + 
  a^6 z^2 + 3 a^8 z^2 - 4 a^10 z^2 - 3 a^12 z^2 + 3 a^14 z^2 - 
  3 a^5 z^3 + 7 a^7 z^3 + 3 a^9 z^3 - 6 a^11 z^3 - 2 a^13 z^3 - 
  3 a^15 z^3 - 4 a^6 z^4 - 3 a^8 z^4 + 10 a^10 z^4 + 4 a^12 z^4 - 
  5 a^14 z^4 + a^5 z^5 - 7 a^7 z^5 - 2 a^9 z^5 + 3 a^11 z^5 - 
  2 a^13 z^5 + a^15 z^5 + 2 a^6 z^6 - a^8 z^6 - 8 a^10 z^6 - 
  3 a^12 z^6 + 2 a^14 z^6 + 3 a^7 z^7 + a^9 z^7 + 2 a^13 z^7 + 
  2 a^8 z^8 + 4 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + a^11 z^9, -1 + 1/(
  a z) + a/z + z/a^3 - (2 z)/a - 10 a z - 10 a^3 z - 3 a^5 z + 
  4 z^2 + (3 z^2)/a^2 + 5 a^2 z^2 + 8 a^4 z^2 + 4 a^6 z^2 - (2 z^3)/
  a^3 + (2 z^3)/a + 17 a z^3 + 21 a^3 z^3 + 6 a^5 z^3 - 2 a^7 z^3 - 
  7 z^4 - (6 z^4)/a^2 - a^2 z^4 - 7 a^4 z^4 - 7 a^6 z^4 + z^5/a^3 - (
  6 z^5)/a - 17 a z^5 - 19 a^3 z^5 - 8 a^5 z^5 + a^7 z^5 + (3 z^6)/
  a^2 - 7 a^2 z^6 - a^4 z^6 + 3 a^6 z^6 + (4 z^7)/a + 7 a z^7 + 
  7 a^3 z^7 + 4 a^5 z^7 + 3 z^8 + 6 a^2 z^8 + 3 a^4 z^8 + a z^9 + 
  a^3 z^9, -a^8 + a^7/z + a^9/z + 2 a^5 z - 6 a^7 z - 5 a^9 z + 
  a^11 z - a^13 z + a^15 z + a^6 z^2 + 5 a^8 z^2 + a^10 z^2 - 
  a^12 z^2 + 2 a^14 z^2 - 3 a^5 z^3 + 8 a^7 z^3 + 10 a^9 z^3 + 
  3 a^11 z^3 + 2 a^13 z^3 - 2 a^15 z^3 - 4 a^6 z^4 - 5 a^8 z^4 + 
  5 a^10 z^4 - 6 a^14 z^4 + a^5 z^5 - 7 a^7 z^5 - 8 a^9 z^5 - 
  8 a^11 z^5 - 7 a^13 z^5 + a^15 z^5 + 2 a^6 z^6 - 8 a^10 z^6 - 
  3 a^12 z^6 + 3 a^14 z^6 + 3 a^7 z^7 + 3 a^9 z^7 + 4 a^11 z^7 + 
  4 a^13 z^7 + 2 a^8 z^8 + 5 a^10 z^8 + 3 a^12 z^8 + a^9 z^9 + 
  a^11 z^9, -a^8 + a^7/z + a^9/z - 3 a^3 z - 2 a^5 z - 7 a^7 z - 
  5 a^9 z + 2 a^11 z - a^13 z - 5 a^4 z^2 - 5 a^6 z^2 + 2 a^8 z^2 + 
  a^10 z^2 - a^12 z^2 + 7 a^3 z^3 + 9 a^5 z^3 + 12 a^7 z^3 + 
  6 a^9 z^3 - 3 a^11 z^3 + a^13 z^3 + 14 a^4 z^4 + 17 a^6 z^4 - 
  2 a^8 z^4 - 3 a^10 z^4 + 2 a^12 z^4 - 5 a^3 z^5 - 5 a^5 z^5 - 
  9 a^7 z^5 - 6 a^9 z^5 + 3 a^11 z^5 - 10 a^4 z^6 - 16 a^6 z^6 - 
  3 a^8 z^6 + 3 a^10 z^6 + a^3 z^7 - 2 a^5 z^7 + 3 a^9 z^7 + 
  2 a^4 z^8 + 4 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, -a^8 + a^7/
  z + a^9/z - 7 a^7 z - 2 a^9 z + 3 a^11 z - a^13 z - a^17 z + 
  3 a^8 z^2 - 5 a^10 z^2 - 5 a^12 z^2 + a^14 z^2 - 2 a^16 z^2 + 
  11 a^7 z^3 + a^9 z^3 - 5 a^11 z^3 + 3 a^13 z^3 - a^15 z^3 + 
  a^17 z^3 + 2 a^8 z^4 + 15 a^10 z^4 + 9 a^12 z^4 - 2 a^14 z^4 + 
  2 a^16 z^4 - 6 a^7 z^5 + 3 a^9 z^5 + 3 a^11 z^5 - 4 a^13 z^5 + 
  2 a^15 z^5 - 4 a^8 z^6 - 13 a^10 z^6 - 7 a^12 z^6 + 2 a^14 z^6 + 
  a^7 z^7 - 4 a^9 z^7 - 3 a^11 z^7 + 2 a^13 z^7 + a^8 z^8 + 
  3 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + a^11 z^9, -a^4 + a^3/z + a^5/z +
   z/a^3 - z/a - 6 a z - 9 a^3 z - 5 a^5 z + 4 z^2 - z^2/a^4 + (
  3 z^2)/a^2 - 2 a^2 z^2 - 2 a^4 z^2 + z^3/a^5 - (4 z^3)/a^3 + z^3/
  a + 19 a z^3 + 21 a^3 z^3 + 8 a^5 z^3 - 8 z^4 + (3 z^4)/a^4 - (
  8 z^4)/a^2 + 14 a^2 z^4 + 11 a^4 z^4 + (5 z^5)/a^3 - (7 z^5)/a - 
  20 a z^5 - 13 a^3 z^5 - 5 a^5 z^5 - 2 z^6 + (6 z^6)/a^2 - 
  17 a^2 z^6 - 9 a^4 z^6 + (5 z^7)/a + 4 a z^7 + a^5 z^7 + 3 z^8 + 
  5 a^2 z^8 + 2 a^4 z^8 + a z^9 + a^3 z^9, -a^8 + a^7/z + a^9/z + 
  a^5 z - 7 a^7 z - 5 a^9 z + a^11 z + 2 a^15 z + a^6 z^2 + 
  3 a^8 z^2 - 7 a^10 z^2 - 7 a^12 z^2 + 2 a^14 z^2 - 3 a^5 z^3 + 
  12 a^7 z^3 + 13 a^9 z^3 - a^13 z^3 - 3 a^15 z^3 - 5 a^6 z^4 + 
  a^8 z^4 + 19 a^10 z^4 + 8 a^12 z^4 - 5 a^14 z^4 + a^5 z^5 - 
  10 a^7 z^5 - 6 a^9 z^5 + a^11 z^5 - 3 a^13 z^5 + a^15 z^5 + 
  2 a^6 z^6 - 4 a^8 z^6 - 13 a^10 z^6 - 5 a^12 z^6 + 2 a^14 z^6 + 
  3 a^7 z^7 - a^11 z^7 + 2 a^13 z^7 + 2 a^8 z^8 + 4 a^10 z^8 + 
  2 a^12 z^8 + a^9 z^9 + a^11 z^9, -a^8 + a^7/z + a^9/z + 3 a^5 z - 
  5 a^7 z - 7 a^9 z - 3 a^11 z - 4 a^13 z + 3 a^6 z^2 + 8 a^8 z^2 + 
  a^10 z^2 - 4 a^12 z^2 + a^3 z^3 - 6 a^5 z^3 + 4 a^7 z^3 + 
  18 a^9 z^3 + 15 a^11 z^3 + 8 a^13 z^3 + 3 a^4 z^4 - 9 a^6 z^4 - 
  15 a^8 z^4 + 9 a^10 z^4 + 12 a^12 z^4 + 6 a^5 z^5 - 9 a^7 z^5 - 
  21 a^9 z^5 - 11 a^11 z^5 - 5 a^13 z^5 + 7 a^6 z^6 + a^8 z^6 - 
  15 a^10 z^6 - 9 a^12 z^6 + 6 a^7 z^7 + 5 a^9 z^7 + a^13 z^7 + 
  3 a^8 z^8 + 5 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + a^11 z^9, -a^8 + 
  a^7/z + a^9/z - 6 a^7 z + 5 a^11 z + a^13 z + a^15 z - a^17 z + 
  2 a^8 z^2 - 6 a^10 z^2 - a^12 z^2 + 6 a^14 z^2 - a^16 z^2 + 
  11 a^7 z^3 - 3 a^9 z^3 - 11 a^11 z^3 - 2 a^15 z^3 + a^17 z^3 + 
  3 a^8 z^4 + 12 a^10 z^4 - 7 a^14 z^4 + 2 a^16 z^4 - 6 a^7 z^5 + 
  5 a^9 z^5 + 4 a^11 z^5 - 4 a^13 z^5 + 3 a^15 z^5 - 4 a^8 z^6 - 
  11 a^10 z^6 - 3 a^12 z^6 + 4 a^14 z^6 + a^7 z^7 - 4 a^9 z^7 - 
  2 a^11 z^7 + 3 a^13 z^7 + a^8 z^8 + 3 a^10 z^8 + 2 a^12 z^8 + 
  a^9 z^9 + a^11 z^9, -1 + 1/(a z) + a/z + z/a^5 - (2 z)/a^3 - (10 z)/
  a - 10 a z - 3 a^3 z - z^2/a^6 + (2 z^2)/a^4 + (3 z^2)/a^2 + 
  2 a^2 z^2 + 2 a^4 z^2 - (3 z^3)/a^5 + (6 z^3)/a^3 + (26 z^3)/a + 
  27 a z^3 + 10 a^3 z^3 + 4 z^4 + z^4/a^6 - (5 z^4)/a^4 - (5 z^4)/
  a^2 - 3 a^4 z^4 + (3 z^5)/a^5 - (8 z^5)/a^3 - (28 z^5)/a - 
  27 a z^5 - 10 a^3 z^5 - 13 z^6 + (5 z^6)/a^4 - z^6/a^2 - 6 a^2 z^6 +
   a^4 z^6 + (6 z^7)/a^3 + (10 z^7)/a + 7 a z^7 + 3 a^3 z^7 + 
  7 z^8 + (4 z^8)/a^2 + 3 a^2 z^8 + z^9/a + a z^9, -(1/a^4) + 1/(
  a^5 z) + 1/(a^3 z) + z/a^7 - (4 z)/a^5 - (9 z)/a^3 - (6 z)/a - 
  2 a z + 3 z^2 + (2 z^2)/a^6 + (2 z^2)/a^4 + z^2/a^2 + 2 a^2 z^2 - (
  2 z^3)/a^7 + (6 z^3)/a^5 + (23 z^3)/a^3 + (22 z^3)/a + 6 a z^3 - 
  a^3 z^3 - 5 z^4 - (5 z^4)/a^6 + (6 z^4)/a^2 - 6 a^2 z^4 + z^5/
  a^7 - (8 z^5)/a^5 - (25 z^5)/a^3 - (29 z^5)/a - 12 a z^5 + 
  a^3 z^5 - 5 z^6 + (3 z^6)/a^6 - (5 z^6)/a^4 - (17 z^6)/a^2 + 
  4 a^2 z^6 + (5 z^7)/a^5 + (9 z^7)/a^3 + (11 z^7)/a + 7 a z^7 + 
  6 z^8 + (5 z^8)/a^4 + (11 z^8)/a^2 + (2 z^9)/a^3 + (2 z^9)/a, -a^8 +
   a^7/z + a^9/z - 4 a^3 z - 4 a^5 z - 9 a^7 z - 7 a^9 z + a^11 z - 
  a^13 z - 5 a^4 z^2 - 2 a^6 z^2 + 6 a^8 z^2 + 2 a^10 z^2 - 
  a^12 z^2 + 8 a^3 z^3 + 16 a^5 z^3 + 25 a^7 z^3 + 14 a^9 z^3 - 
  2 a^11 z^3 + a^13 z^3 + 12 a^4 z^4 + 13 a^6 z^4 - 6 a^8 z^4 - 
  5 a^10 z^4 + 2 a^12 z^4 - 5 a^3 z^5 - 12 a^5 z^5 - 23 a^7 z^5 - 
  13 a^9 z^5 + 3 a^11 z^5 - 9 a^4 z^6 - 17 a^6 z^6 - 4 a^8 z^6 + 
  4 a^10 z^6 + a^3 z^7 + 4 a^7 z^7 + 5 a^9 z^7 + 2 a^4 z^8 + 
  5 a^6 z^8 + 3 a^8 z^8 + a^5 z^9 + a^7 z^9, -a^4 + a^3/z + a^5/z - 
  a z - 9 a^3 z - 10 a^5 z - a^7 z + a^9 z + z^2 + a^2 z^2 - a^4 z^2 +
   a^6 z^2 + a^8 z^2 - a^10 z^2 + 8 a z^3 + 27 a^3 z^3 + 30 a^5 z^3 + 
  8 a^7 z^3 - 3 a^9 z^3 - 2 z^4 + 3 a^2 z^4 + 12 a^4 z^4 + 
  2 a^6 z^4 - 4 a^8 z^4 + a^10 z^4 - 11 a z^5 - 31 a^3 z^5 - 
  33 a^5 z^5 - 10 a^7 z^5 + 3 a^9 z^5 + z^6 - 11 a^2 z^6 - 
  24 a^4 z^6 - 7 a^6 z^6 + 5 a^8 z^6 + 4 a z^7 + 7 a^3 z^7 + 
  10 a^5 z^7 + 7 a^7 z^7 + 5 a^2 z^8 + 11 a^4 z^8 + 6 a^6 z^8 + 
  2 a^3 z^9 + 2 a^5 z^9, -a^8 + a^7/z + a^9/z + a z - 2 a^3 z - 
  a^5 z - 7 a^7 z - 8 a^9 z + a^11 z + 2 a^2 z^2 - 2 a^4 z^2 + 
  a^6 z^2 + 6 a^8 z^2 + a^10 z^2 - 2 a z^3 + 5 a^3 z^3 + 10 a^5 z^3 + 
  17 a^7 z^3 + 12 a^9 z^3 - 2 a^11 z^3 - 5 a^2 z^4 + 3 a^4 z^4 + 
  5 a^6 z^4 - 7 a^8 z^4 - 4 a^10 z^4 + a z^5 - 8 a^3 z^5 - 
  17 a^5 z^5 - 21 a^7 z^5 - 12 a^9 z^5 + a^11 z^5 + 3 a^2 z^6 - 
  6 a^4 z^6 - 15 a^6 z^6 - 3 a^8 z^6 + 3 a^10 z^6 + 5 a^3 z^7 + 
  7 a^5 z^7 + 8 a^7 z^7 + 6 a^9 z^7 + 5 a^4 z^8 + 10 a^6 z^8 + 
  5 a^8 z^8 + 2 a^5 z^9 + 2 a^7 z^9, -8 a^8 - 14 a^10 - 9 a^12 - 
  2 a^14 + (4 a^7)/z + (8 a^9)/z + (5 a^11)/z + a^13/z + a^5 z - 
  12 a^7 z - 22 a^9 z - 9 a^11 z + a^13 z + a^15 z + a^6 z^2 + 
  19 a^8 z^2 + 35 a^10 z^2 + 22 a^12 z^2 + 5 a^14 z^2 - 2 a^5 z^3 + 
  15 a^7 z^3 + 32 a^9 z^3 + 16 a^11 z^3 - a^13 z^3 - 2 a^15 z^3 - 
  4 a^6 z^4 - 18 a^8 z^4 - 29 a^10 z^4 - 21 a^12 z^4 - 6 a^14 z^4 + 
  a^5 z^5 - 13 a^7 z^5 - 32 a^9 z^5 - 23 a^11 z^5 - 4 a^13 z^5 + 
  a^15 z^5 + 3 a^6 z^6 + 2 a^8 z^6 + a^10 z^6 + 5 a^12 z^6 + 
  3 a^14 z^6 + 6 a^7 z^7 + 13 a^9 z^7 + 11 a^11 z^7 + 4 a^13 z^7 + 
  4 a^8 z^8 + 7 a^10 z^8 + 3 a^12 z^8 + a^9 z^9 + a^11 z^9, -13 - 2/
  a^4 - 8/a^2 - 8 a^2 - 2 a^4 + 2/(a^3 z) + 7/(a z) + (7 a)/z + (
  2 a^3)/z - (6 z)/a^3 - (18 z)/a - 16 a z - 4 a^3 z + 25 z^2 - z^2/
  a^6 + (6 z^2)/a^4 + (20 z^2)/a^2 + 17 a^2 z^2 + 5 a^4 z^2 - (2 z^3)/
  a^5 + (10 z^3)/a^3 + (27 z^3)/a + 21 a z^3 + 6 a^3 z^3 - 15 z^4 + 
  z^4/a^6 - (8 z^4)/a^4 - (17 z^4)/a^2 - 11 a^2 z^4 - 4 a^4 z^4 + (
  3 z^5)/a^5 - (11 z^5)/a^3 - (27 z^5)/a - 19 a z^5 - 6 a^3 z^5 - 
  6 z^6 + (6 z^6)/a^4 + (2 z^6)/a^2 - a^2 z^6 + a^4 z^6 + (7 z^7)/
  a^3 + (10 z^7)/a + 5 a z^7 + 2 a^3 z^7 + 6 z^8 + (4 z^8)/a^2 + 
  2 a^2 z^8 + z^9/a + a z^9, -8 - 2/a^6 - 9/a^4 - 14/a^2 + 1/(
  a^5 z) + 5/(a^3 z) + 8/(a z) + (4 a)/z + z/a^7 - (9 z)/a^3 - (20 z)/
  a - 12 a z + 14 z^2 + (9 z^2)/a^6 + (23 z^2)/a^4 + (28 z^2)/a^2 + 
  z^3/a^9 - (4 z^3)/a^7 + (4 z^3)/a^5 + (20 z^3)/a^3 + (24 z^3)/a + 
  13 a z^3 - 5 z^4 + (3 z^4)/a^8 - (15 z^4)/a^6 - (22 z^4)/a^4 - (
  9 z^4)/a^2 + (6 z^5)/a^7 - (14 z^5)/a^5 - (26 z^5)/a^3 - (12 z^5)/
  a - 6 a z^5 - 2 z^6 + (9 z^6)/a^6 - (11 z^6)/a^2 + (8 z^7)/a^5 + (
  7 z^7)/a^3 + a z^7 + z^8 + (4 z^8)/a^4 + (5 z^8)/a^2 + z^9/a^3 + 
  z^9/a, -1 + 1/(a z) + a/z - 2 a z - 4 a^3 z - 2 a^5 z - z^2 - 
  2 a^2 z^2 + a^4 z^2 + 2 a^6 z^2 + (6 z^3)/a + 19 a z^3 + 
  22 a^3 z^3 + 8 a^5 z^3 - a^7 z^3 + 2 z^4 - (4 z^4)/a^2 + 
  14 a^2 z^4 + 3 a^4 z^4 - 5 a^6 z^4 + z^5/a^3 - (17 z^5)/a - 
  39 a z^5 - 34 a^3 z^5 - 12 a^5 z^5 + a^7 z^5 - 14 z^6 + (5 z^6)/
  a^2 - 34 a^2 z^6 - 11 a^4 z^6 + 4 a^6 z^6 + (11 z^7)/a + 15 a z^7 + 
  12 a^3 z^7 + 8 a^5 z^7 + 11 z^8 + 20 a^2 z^8 + 9 a^4 z^8 + 
  4 a z^9 + 4 a^3 z^9, -1 + 1/(a z) + a/z - (2 z)/a^3 - (8 z)/a - 
  10 a z - 4 a^3 z + z^2/a^4 + z^2/a^2 + 3 a^2 z^2 + 3 a^4 z^2 + (
  8 z^3)/a^3 + (28 z^3)/a + 34 a z^3 + 13 a^3 z^3 - a^5 z^3 + 
  14 z^4 - (2 z^4)/a^4 + (6 z^4)/a^2 - 3 a^2 z^4 - 8 a^4 z^4 + 
  a^6 z^4 - (10 z^5)/a^3 - (33 z^5)/a - 47 a z^5 - 20 a^3 z^5 + 
  4 a^5 z^5 - 33 z^6 + z^6/a^4 - (13 z^6)/a^2 - 10 a^2 z^6 + 
  9 a^4 z^6 + (4 z^7)/a^3 + (7 z^7)/a + 16 a z^7 + 13 a^3 z^7 + 
  16 z^8 + (6 z^8)/a^2 + 10 a^2 z^8 + (3 z^9)/a + 3 a z^9, -1 + 1/(
  a z) + a/z - (6 z)/a^5 - (16 z)/a^3 - (14 z)/a - 4 a z - 3 z^2 + (
  8 z^2)/a^6 + (11 z^2)/a^4 + z^3/a^9 - (3 z^3)/a^7 + (16 z^3)/a^5 + (
  44 z^3)/a^3 + (30 z^3)/a + 6 a z^3 + 14 z^4 + (3 z^4)/a^8 - (
  16 z^4)/a^6 - (10 z^4)/a^4 + (23 z^4)/a^2 + (6 z^5)/a^7 - (24 z^5)/
  a^5 - (44 z^5)/a^3 - (18 z^5)/a - 4 a z^5 - 12 z^6 + (10 z^6)/
  a^6 - (10 z^6)/a^4 - (32 z^6)/a^2 + (11 z^7)/a^5 + (9 z^7)/a^3 - 
  z^7/a + a z^7 + 3 z^8 + (7 z^8)/a^4 + (10 z^8)/a^2 + (2 z^9)/a^3 + (
  2 z^9)/a, 
 a^10 - a^9/z - a^11/z - 4 a^7 z + 8 a^9 z + 8 a^11 z - a^13 z + 
  a^15 z - 2 a^17 z - a^8 z^2 - 9 a^10 z^2 - 4 a^12 z^2 + 3 a^14 z^2 -
   a^16 z^2 + 10 a^7 z^3 - 15 a^9 z^3 - 19 a^11 z^3 + 4 a^13 z^3 - 
  a^15 z^3 + a^17 z^3 + 6 a^8 z^4 + 15 a^10 z^4 + 6 a^12 z^4 - 
  2 a^14 z^4 + a^16 z^4 - 6 a^7 z^5 + 13 a^9 z^5 + 15 a^11 z^5 - 
  3 a^13 z^5 + a^15 z^5 - 5 a^8 z^6 - 10 a^10 z^6 - 4 a^12 z^6 + 
  a^14 z^6 + a^7 z^7 - 6 a^9 z^7 - 6 a^11 z^7 + a^13 z^7 + a^8 z^8 + 
  2 a^10 z^8 + a^12 z^8 + a^9 z^9 + a^11 z^9, 
 a^10 - a^9/z - a^11/z + a^5 z - 5 a^7 z + 4 a^9 z + 6 a^11 z + 
  4 a^15 z + a^6 z^2 - 7 a^10 z^2 - 6 a^12 z^2 - 3 a^5 z^3 + 
  11 a^7 z^3 - 2 a^9 z^3 - 13 a^11 z^3 - a^13 z^3 - 4 a^15 z^3 - 
  5 a^6 z^4 + 4 a^8 z^4 + 16 a^10 z^4 + 5 a^12 z^4 - 2 a^14 z^4 + 
  a^5 z^5 - 10 a^7 z^5 + 3 a^9 z^5 + 12 a^11 z^5 - a^13 z^5 + 
  a^15 z^5 + 2 a^6 z^6 - 5 a^8 z^6 - 10 a^10 z^6 - 2 a^12 z^6 + 
  a^14 z^6 + 3 a^7 z^7 - 2 a^9 z^7 - 4 a^11 z^7 + a^13 z^7 + 
  2 a^8 z^8 + 3 a^10 z^8 + a^12 z^8 + a^9 z^9 + a^11 z^9, 
 a^10 - a^9/z - a^11/z + 2 a^5 z - 4 a^7 z + 3 a^9 z + 3 a^11 z - 
  4 a^13 z + 2 a^15 z + a^6 z^2 + a^8 z^2 + a^12 z^2 + a^14 z^2 - 
  3 a^5 z^3 + 7 a^7 z^3 - 3 a^9 z^3 - 3 a^11 z^3 + 7 a^13 z^3 - 
  3 a^15 z^3 - 4 a^6 z^4 - 2 a^8 z^4 + 4 a^10 z^4 - 2 a^12 z^4 - 
  4 a^14 z^4 + a^5 z^5 - 7 a^7 z^5 - 7 a^13 z^5 + a^15 z^5 + 
  2 a^6 z^6 - a^8 z^6 - 6 a^10 z^6 - a^12 z^6 + 2 a^14 z^6 + 
  3 a^7 z^7 + a^9 z^7 + a^11 z^7 + 3 a^13 z^7 + 2 a^8 z^8 + 
  4 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + a^11 z^9, 
 a^10 - a^9/z - a^11/z - 6 a^7 z + 4 a^9 z + 5 a^11 z - 2 a^13 z + 
  2 a^15 z - a^17 z + a^8 z^2 - 3 a^10 z^2 - 2 a^12 z^2 + a^14 z^2 - 
  a^16 z^2 + 11 a^7 z^3 - 5 a^9 z^3 - 7 a^11 z^3 + 5 a^13 z^3 - 
  3 a^15 z^3 + a^17 z^3 + 3 a^8 z^4 + 10 a^10 z^4 + 2 a^12 z^4 - 
  3 a^14 z^4 + 2 a^16 z^4 - 6 a^7 z^5 + 5 a^9 z^5 + 2 a^11 z^5 - 
  6 a^13 z^5 + 3 a^15 z^5 - 4 a^8 z^6 - 11 a^10 z^6 - 4 a^12 z^6 + 
  3 a^14 z^6 + a^7 z^7 - 4 a^9 z^7 - 2 a^11 z^7 + 3 a^13 z^7 + 
  a^8 z^8 + 3 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + a^11 z^9, 
 a^10 - a^9/z - a^11/z + 15 a^9 z + 11 a^11 z - a^13 z + a^15 z - 
  a^17 z + a^19 z - 10 a^10 z^2 - 4 a^12 z^2 + 3 a^14 z^2 - 
  2 a^16 z^2 + a^18 z^2 - 35 a^9 z^3 - 25 a^11 z^3 + 6 a^13 z^3 - 
  3 a^15 z^3 + a^17 z^3 + 15 a^10 z^4 + 10 a^12 z^4 - 4 a^14 z^4 + 
  a^16 z^4 + 28 a^9 z^5 + 22 a^11 z^5 - 5 a^13 z^5 + a^15 z^5 - 
  7 a^10 z^6 - 6 a^12 z^6 + a^14 z^6 - 9 a^9 z^7 - 8 a^11 z^7 + 
  a^13 z^7 + a^10 z^8 + a^12 z^8 + a^9 z^9 + a^11 z^9, 
 a^10 - a^9/z - a^11/z + 3 a^5 z - 3 a^7 z + 2 a^9 z - 8 a^13 z + 
  3 a^6 z^2 + 6 a^8 z^2 + 7 a^10 z^2 + 4 a^12 z^2 + a^3 z^3 - 
  6 a^5 z^3 + 3 a^7 z^3 + 2 a^9 z^3 + 4 a^11 z^3 + 12 a^13 z^3 + 
  3 a^4 z^4 - 9 a^6 z^4 - 12 a^8 z^4 + 6 a^5 z^5 - 9 a^7 z^5 - 
  11 a^9 z^5 - 2 a^11 z^5 - 6 a^13 z^5 + 7 a^6 z^6 - 10 a^10 z^6 - 
  3 a^12 z^6 + 6 a^7 z^7 + 3 a^9 z^7 - 2 a^11 z^7 + a^13 z^7 + 
  3 a^8 z^8 + 4 a^10 z^8 + a^12 z^8 + a^9 z^9 + a^11 z^9, 
 a^10 - a^9/z - a^11/z + 3 a^5 z - a^7 z + 7 a^9 z + 7 a^11 z - 
  a^13 z + 3 a^15 z + a^6 z^2 - 3 a^8 z^2 - 8 a^10 z^2 - 3 a^12 z^2 + 
  a^14 z^2 - 4 a^5 z^3 + 2 a^7 z^3 - 15 a^9 z^3 - 15 a^11 z^3 + 
  2 a^13 z^3 - 4 a^15 z^3 - 3 a^6 z^4 + 6 a^8 z^4 + 18 a^10 z^4 + 
  6 a^12 z^4 - 3 a^14 z^4 + a^5 z^5 - 3 a^7 z^5 + 15 a^9 z^5 + 
  15 a^11 z^5 - 3 a^13 z^5 + a^15 z^5 + a^6 z^6 - 4 a^8 z^6 - 
  10 a^10 z^6 - 4 a^12 z^6 + a^14 z^6 + a^7 z^7 - 6 a^9 z^7 - 
  6 a^11 z^7 + a^13 z^7 + a^8 z^8 + 2 a^10 z^8 + a^12 z^8 + a^9 z^9 + 
  a^11 z^9, 
 a^10 - a^9/z - a^11/z + a^5 z - 7 a^7 z - a^9 z - a^11 z - 7 a^13 z +
   a^15 z + a^6 z^2 + 5 a^8 z^2 + 8 a^10 z^2 + 5 a^12 z^2 + 
  a^14 z^2 - 2 a^5 z^3 + 12 a^7 z^3 + 9 a^9 z^3 + 9 a^11 z^3 + 
  12 a^13 z^3 - 2 a^15 z^3 - 4 a^6 z^4 - 6 a^8 z^4 - 4 a^10 z^4 - 
  6 a^12 z^4 - 4 a^14 z^4 + a^5 z^5 - 12 a^7 z^5 - 18 a^9 z^5 - 
  18 a^11 z^5 - 12 a^13 z^5 + a^15 z^5 + 3 a^6 z^6 - 3 a^8 z^6 - 
  12 a^10 z^6 - 3 a^12 z^6 + 3 a^14 z^6 + 6 a^7 z^7 + 8 a^9 z^7 + 
  8 a^11 z^7 + 6 a^13 z^7 + 5 a^8 z^8 + 10 a^10 z^8 + 5 a^12 z^8 + 
  2 a^9 z^9 + 2 a^11 z^9, -14 - 4/a^2 - 21 a^2 - 14 a^4 - 4 a^6 + 3/
  z^2 + 1/(a^2 z^2) + (4 a^2)/z^2 + (3 a^4)/z^2 + a^6/z^2 - 1/(a z) - 
  a/z - a^3/z - a^5/z + z/a + a z + a^3 z + a^5 z + 28 z^2 + (6 z^2)/
  a^2 + 40 a^2 z^2 + 24 a^4 z^2 + 6 a^6 z^2 - z^3/a^3 + (4 z^3)/a + 
  14 a z^3 + 12 a^3 z^3 + 3 a^5 z^3 - 30 z^4 + z^4/a^4 - (11 z^4)/
  a^2 - 30 a^2 z^4 - 16 a^4 z^4 - 4 a^6 z^4 + (4 z^5)/a^3 - (13 z^5)/
  a - 32 a z^5 - 20 a^3 z^5 - 5 a^5 z^5 + 7 z^6 + (9 z^6)/a^2 - 
  2 a^2 z^6 + a^4 z^6 + a^6 z^6 + (10 z^7)/a + 15 a z^7 + 7 a^3 z^7 + 
  2 a^5 z^7 + 5 z^8 + 7 a^2 z^8 + 2 a^4 z^8 + a z^9 + 
  a^3 z^9, -4 a^2 - 14 a^4 - 21 a^6 - 14 a^8 - 4 a^10 + a^2/z^2 + (
  3 a^4)/z^2 + (4 a^6)/z^2 + (3 a^8)/z^2 + a^10/z^2 - a^3/z - a^5/z - 
  a^7/z - a^9/z + a^3 z + a^5 z + a^7 z + a^9 z - z^2 + 8 a^2 z^2 + 
  28 a^4 z^2 + 38 a^6 z^2 + 25 a^8 z^2 + 6 a^10 z^2 - 2 a z^3 + 
  5 a^3 z^3 + 11 a^5 z^3 + 7 a^7 z^3 + 3 a^9 z^3 + z^4 - 8 a^2 z^4 - 
  25 a^4 z^4 - 29 a^6 z^4 - 17 a^8 z^4 - 4 a^10 z^4 + 3 a z^5 - 
  9 a^3 z^5 - 24 a^5 z^5 - 17 a^7 z^5 - 5 a^9 z^5 + 6 a^2 z^6 + 
  5 a^4 z^6 - a^6 z^6 + a^8 z^6 + a^10 z^6 + 7 a^3 z^7 + 11 a^5 z^7 + 
  6 a^7 z^7 + 2 a^9 z^7 + 4 a^4 z^8 + 6 a^6 z^8 + 2 a^8 z^8 + 
  a^5 z^9 + a^7 z^9, -7 a^2 - 14 a^4 - 10 a^6 - 2 a^8 + (2 a^2)/
  z^2 + (5 a^4)/z^2 + (4 a^6)/z^2 + a^8/z^2 - (5 a^3)/z - (9 a^5)/
  z - (5 a^7)/z - a^9/z + 11 a^3 z + 21 a^5 z + 13 a^7 z + 3 a^9 z + 
  3 z^2 + 11 a^2 z^2 + 19 a^4 z^2 + 14 a^6 z^2 + 3 a^8 z^2 - z^3/a + 
  2 a z^3 - 12 a^5 z^3 - 12 a^7 z^3 - 3 a^9 z^3 - 7 z^4 - 
  12 a^2 z^4 - 12 a^4 z^4 - 11 a^6 z^4 - 4 a^8 z^4 + z^5/a - 
  10 a z^5 - 16 a^3 z^5 - 4 a^5 z^5 + 2 a^7 z^5 + a^9 z^5 + 4 z^6 - 
  3 a^4 z^6 + 3 a^6 z^6 + 2 a^8 z^6 + 6 a z^7 + 9 a^3 z^7 + 
  5 a^5 z^7 + 2 a^7 z^7 + 4 a^2 z^8 + 6 a^4 z^8 + 2 a^6 z^8 + 
  a^3 z^9 + a^5 z^9, -2 - 10 a^2 - 14 a^4 - 7 a^6 + 1/z^2 + (4 a^2)/
  z^2 + (5 a^4)/z^2 + (2 a^6)/z^2 - 1/(a z) - (5 a)/z - (9 a^3)/z - (
  5 a^5)/z + (3 z)/a + 13 a z + 21 a^3 z + 11 a^5 z + z^2 + z^2/a^2 + 
  11 a^2 z^2 + 20 a^4 z^2 + 9 a^6 z^2 - (3 z^3)/a^3 - 8 a z^3 - 
  17 a^3 z^3 - 6 a^5 z^3 - 3 z^4 + z^4/a^4 - (8 z^4)/a^2 - 
  3 a^2 z^4 - 14 a^4 z^4 - 5 a^6 z^4 + (4 z^5)/a^3 - (8 z^5)/a - 
  8 a z^5 + 3 a^3 z^5 - a^5 z^5 - z^6 + (7 z^6)/a^2 - 7 a^2 z^6 + 
  2 a^4 z^6 + a^6 z^6 + (7 z^7)/a + 6 a z^7 + a^5 z^7 + 4 z^8 + 
  5 a^2 z^8 + a^4 z^8 + a z^9 + a^3 z^9, 
 3 a^4 + 5 a^6 + 3 a^8 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/
  z + (2 a^7)/z - 3 a^5 z - 3 a^7 z - 2 z^2 + z^2/a^2 - 3 a^2 z^2 - 
  3 a^4 z^2 - 6 a^6 z^2 - 3 a^8 z^2 + (8 z^3)/a + 5 a z^3 - 
  3 a^3 z^3 + 10 z^4 - (3 z^4)/a^2 + 13 a^2 z^4 + a^4 z^4 + 
  2 a^6 z^4 + a^8 z^4 - (11 z^5)/a - 7 a z^5 + 4 a^3 z^5 + a^5 z^5 + 
  a^7 z^5 - 11 z^6 + z^6/a^2 - 13 a^2 z^6 + a^6 z^6 + (3 z^7)/a - 
  2 a^3 z^7 + a^5 z^7 + 3 z^8 + 4 a^2 z^8 + a^4 z^8 + a z^9 + a^3 z^9,
  1 + 1/a^4 + 1/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(a^3 z) + 
  2/(a z) - z/a^3 - z/a + 4 z^2 + (2 z^2)/a^8 + (2 z^2)/a^6 + (2 z^2)/
  a^4 + (6 z^2)/a^2 - z^3/a^9 + (6 z^3)/a^7 + (11 z^3)/a^5 + (7 z^3)/
  a^3 + (2 z^3)/a - a z^3 - 7 z^4 - (6 z^4)/a^8 - (3 z^4)/a^6 - z^4/
  a^4 - (11 z^4)/a^2 + z^5/a^9 - (12 z^5)/a^7 - (24 z^5)/a^5 - (
  20 z^5)/a^3 - (8 z^5)/a + a z^5 + 4 z^6 + (4 z^6)/a^8 - (5 z^6)/
  a^6 - (13 z^6)/a^4 + (7 z^7)/a^7 + (11 z^7)/a^5 + (10 z^7)/a^3 + (
  6 z^7)/a + (6 z^8)/a^6 + (11 z^8)/a^4 + (5 z^8)/a^2 + (2 z^9)/
  a^5 + (2 z^9)/a^3, -2 - 8 a^2 - 9 a^4 - 4 a^6 + a^2/z^2 + (2 a^4)/
  z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z + z/a + 3 a z + 5 a^3 z + 
  3 a^5 z + 10 z^2 + (3 z^2)/a^2 + 19 a^2 z^2 + 18 a^4 z^2 + 
  6 a^6 z^2 - (3 z^3)/a^3 - z^3/a + 4 a z^3 + 4 a^3 z^3 + 2 a^5 z^3 - 
  16 z^4 + z^4/a^4 - (8 z^4)/a^2 - 16 a^2 z^4 - 13 a^4 z^4 - 
  4 a^6 z^4 + (4 z^5)/a^3 - (6 z^5)/a - 19 a z^5 - 14 a^3 z^5 - 
  5 a^5 z^5 + 4 z^6 + (7 z^6)/a^2 - 4 a^2 z^6 + a^6 z^6 + (7 z^7)/a + 
  10 a z^7 + 5 a^3 z^7 + 2 a^5 z^7 + 4 z^8 + 6 a^2 z^8 + 2 a^4 z^8 + 
  a z^9 + a^3 z^9, -4 a^2 - 9 a^4 - 8 a^6 - 2 a^8 + a^2/z^2 + (2 a^4)/
  z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z + 3 a^3 z + 5 a^5 z + 
  3 a^7 z + a^9 z + 3 z^2 + 11 a^2 z^2 + 20 a^4 z^2 + 17 a^6 z^2 + 
  5 a^8 z^2 - z^3/a + 4 a z^3 + 10 a^3 z^3 + 5 a^5 z^3 - 2 a^7 z^3 - 
  2 a^9 z^3 - 7 z^4 - 15 a^2 z^4 - 19 a^4 z^4 - 17 a^6 z^4 - 
  6 a^8 z^4 + z^5/a - 10 a z^5 - 24 a^3 z^5 - 18 a^5 z^5 - 4 a^7 z^5 +
   a^9 z^5 + 4 z^6 + 2 a^2 z^6 - a^4 z^6 + 4 a^6 z^6 + 3 a^8 z^6 + 
  6 a z^7 + 12 a^3 z^7 + 10 a^5 z^7 + 4 a^7 z^7 + 4 a^2 z^8 + 
  7 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, -4 a^6 - 6 a^8 - 3 a^10 -
   a^12 - a^14 + a^6/z^2 + (2 a^8)/z^2 + a^10/z^2 - (2 a^7)/z - (
  2 a^9)/z + 4 a^7 z - 6 a^11 z - 2 a^13 z - a^4 z^2 + 9 a^6 z^2 + 
  12 a^8 z^2 + 7 a^10 z^2 + 8 a^12 z^2 + 3 a^14 z^2 - 2 a^5 z^3 - 
  a^7 z^3 + 15 a^9 z^3 + 22 a^11 z^3 + 8 a^13 z^3 + a^4 z^4 - 
  9 a^6 z^4 - 13 a^8 z^4 - 6 a^10 z^4 - 6 a^12 z^4 - 3 a^14 z^4 + 
  3 a^5 z^5 - 5 a^7 z^5 - 26 a^9 z^5 - 27 a^11 z^5 - 9 a^13 z^5 + 
  6 a^6 z^6 + 2 a^8 z^6 - 9 a^10 z^6 - 4 a^12 z^6 + a^14 z^6 + 
  6 a^7 z^7 + 11 a^9 z^7 + 8 a^11 z^7 + 3 a^13 z^7 + 4 a^8 z^8 + 
  7 a^10 z^8 + 3 a^12 z^8 + a^9 z^9 + a^11 z^9, -(1/a^10) - 1/a^8 - 3/
  a^6 - 6/a^4 - 4/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(a^2 z^2) - 2/(
  a^5 z) - 2/(a^3 z) - (2 z)/a^9 - (6 z)/a^7 + (4 z)/a^3 - z^2/
  a^12 + (3 z^2)/a^10 + (4 z^2)/a^8 + (6 z^2)/a^6 + (12 z^2)/a^4 + (
  6 z^2)/a^2 - (3 z^3)/a^11 + (9 z^3)/a^9 + (19 z^3)/a^7 + (8 z^3)/
  a^5 + z^3/a^3 + z^4/a^12 - (6 z^4)/a^10 - (2 z^4)/a^8 - z^4/a^6 - (
  10 z^4)/a^4 - (4 z^4)/a^2 + (3 z^5)/a^11 - (10 z^5)/a^9 - (22 z^5)/
  a^7 - (14 z^5)/a^5 - (5 z^5)/a^3 + (5 z^6)/a^10 - (3 z^6)/a^8 - (
  10 z^6)/a^6 - z^6/a^4 + z^6/a^2 + (6 z^7)/a^9 + (8 z^7)/a^7 + (
  4 z^7)/a^5 + (2 z^7)/a^3 + (4 z^8)/a^8 + (6 z^8)/a^6 + (2 z^8)/a^4 +
   z^9/a^7 + z^9/a^5, -5 a^6 - 8 a^8 - 3 a^10 + a^12 + a^6/z^2 + (
  2 a^8)/z^2 + a^10/z^2 - (2 a^7)/z - (2 a^9)/z + 6 a^7 z + 6 a^9 z + 
  2 a^2 z^2 - 2 a^4 z^2 + 6 a^6 z^2 + 15 a^8 z^2 + 3 a^10 z^2 - 
  2 a^12 z^2 + 8 a^3 z^3 + 6 a^5 z^3 - 3 a^7 z^3 - 3 a^9 z^3 - 
  2 a^11 z^3 - 3 a^2 z^4 + 5 a^4 z^4 - 12 a^8 z^4 - 3 a^10 z^4 + 
  a^12 z^4 - 10 a^3 z^5 - 12 a^5 z^5 - 5 a^7 z^5 - a^9 z^5 + 
  2 a^11 z^5 + a^2 z^6 - 8 a^4 z^6 - 9 a^6 z^6 + 3 a^8 z^6 + 
  3 a^10 z^6 + 3 a^3 z^7 + 3 a^5 z^7 + 3 a^7 z^7 + 3 a^9 z^7 + 
  3 a^4 z^8 + 5 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 1/a^8 - 3/a^6 - 8/a^4 - 5/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(
  a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (6 z)/a^5 + (6 z)/a^3 - z^2/
  a^12 + z^2/a^10 - (5 z^2)/a^8 - (2 z^2)/a^6 + (13 z^2)/a^4 + (
  8 z^2)/a^2 - (4 z^3)/a^11 + (4 z^3)/a^9 + (2 z^3)/a^7 - (9 z^3)/
  a^5 - (3 z^3)/a^3 + z^4/a^12 - (5 z^4)/a^10 + (9 z^4)/a^8 + (
  11 z^4)/a^6 - (9 z^4)/a^4 - (5 z^4)/a^2 + (3 z^5)/a^11 - (6 z^5)/
  a^9 - (3 z^5)/a^7 + (4 z^5)/a^5 - (2 z^5)/a^3 + (4 z^6)/a^10 - (
  6 z^6)/a^8 - (11 z^6)/a^6 + z^6/a^2 + (4 z^7)/a^9 + z^7/a^7 - (
  2 z^7)/a^5 + z^7/a^3 + (3 z^8)/a^8 + (4 z^8)/a^6 + z^8/a^4 + z^9/
  a^7 + z^9/a^5, -1 - 1/a^2 - 3 a^2 - 6 a^4 - 4 a^6 + a^2/z^2 + (
  2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z - (2 z)/a - 6 a z + 
  4 a^5 z + 13 z^2 + (4 z^2)/a^2 + 9 a^2 z^2 + 6 a^4 z^2 + 
  6 a^6 z^2 - (2 z^3)/a^3 + (5 z^3)/a + 27 a z^3 + 20 a^3 z^3 - 
  22 z^4 + z^4/a^4 - (9 z^4)/a^2 - 9 a^2 z^4 - a^4 z^4 - 4 a^6 z^4 + (
  4 z^5)/a^3 - (11 z^5)/a - 39 a z^5 - 28 a^3 z^5 - 4 a^5 z^5 + 
  5 z^6 + (8 z^6)/a^2 - 9 a^2 z^6 - 5 a^4 z^6 + a^6 z^6 + (9 z^7)/a + 
  16 a z^7 + 9 a^3 z^7 + 2 a^5 z^7 + 5 z^8 + 8 a^2 z^8 + 3 a^4 z^8 + 
  a z^9 + a^3 z^9, -9 - 2/a^4 - 8/a^2 - 4 a^2 + 2/z^2 + 1/(a^2 z^2) + 
  a^2/z^2 - 2/(a z) - (2 a)/z + z/a^5 + (3 z)/a^3 + (5 z)/a + 3 a z + 
  20 z^2 + z^2/a^6 + z^2/a^4 + (11 z^2)/a^2 + 8 a^2 z^2 - a^4 z^2 + (
  7 z^3)/a^5 + (8 z^3)/a^3 + (6 z^3)/a + 3 a z^3 - 2 a^3 z^3 - 
  17 z^4 - (2 z^4)/a^6 + (6 z^4)/a^4 - 8 a^2 z^4 + a^4 z^4 - (11 z^5)/
  a^5 - (20 z^5)/a^3 - (20 z^5)/a - 8 a z^5 + 3 a^3 z^5 + z^6 + z^6/
  a^6 - (12 z^6)/a^4 - (18 z^6)/a^2 + 6 a^2 z^6 + (4 z^7)/a^5 + (
  5 z^7)/a^3 + (8 z^7)/a + 7 a z^7 + 5 z^8 + (5 z^8)/a^4 + (10 z^8)/
  a^2 + (2 z^9)/a^3 + (2 z^9)/a, -3 - 2/a^2 - 2 a^2 + 2/z^2 + 1/(
  a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (2 z)/a + 2 a z + 4 z^2 + (
  3 z^2)/a^4 + (5 z^2)/a^2 + 5 a^2 z^2 + 3 a^4 z^2 - z^3/a^5 + (
  5 z^3)/a^3 + (12 z^3)/a + 12 a z^3 + 5 a^3 z^3 - a^5 z^3 - 2 z^4 - (
  6 z^4)/a^4 - (7 z^4)/a^2 - 7 a^2 z^4 - 6 a^4 z^4 + z^5/a^5 - (
  11 z^5)/a^3 - (28 z^5)/a - 28 a z^5 - 11 a^3 z^5 + a^5 z^5 - 
  14 z^6 + (4 z^6)/a^4 - (3 z^6)/a^2 - 3 a^2 z^6 + 4 a^4 z^6 + (
  7 z^7)/a^3 + (13 z^7)/a + 13 a z^7 + 7 a^3 z^7 + 12 z^8 + (6 z^8)/
  a^2 + 6 a^2 z^8 + (2 z^9)/a + 2 a z^9, 
 1 - 3/a^6 - 4/a^4 - 1/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(
  a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (4 z)/a^5 + (4 z)/a^3 + 2 z^2 + (
  4 z^2)/a^8 + (3 z^2)/a^6 - (5 z^2)/a^4 - (2 z^2)/a^2 - (2 z^3)/
  a^9 + (3 z^3)/a^7 + (3 z^3)/a^5 + z^3/a^3 + (2 z^3)/a - a z^3 - 
  7 z^4 - (7 z^4)/a^8 + (3 z^4)/a^6 + (18 z^4)/a^4 + z^4/a^2 + z^5/
  a^9 - (7 z^5)/a^7 - (6 z^5)/a^5 - (9 z^5)/a^3 - (10 z^5)/a + 
  a z^5 + 4 z^6 + (3 z^6)/a^8 - (6 z^6)/a^6 - (19 z^6)/a^4 - (6 z^6)/
  a^2 + (4 z^7)/a^7 + (2 z^7)/a^5 + (4 z^7)/a^3 + (6 z^7)/a + (4 z^8)/
  a^6 + (9 z^8)/a^4 + (5 z^8)/a^2 + (2 z^9)/a^5 + (2 z^9)/a^3, 
 1/a^8 - 1/a^6 - 4/a^4 - 3/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(
  a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (4 z)/a^5 + (4 z)/a^3 - (2 z^2)/
  a^10 - (2 z^2)/a^8 - (6 z^2)/a^6 - (13 z^2)/a^4 - (7 z^2)/a^2 + z^3/
  a^11 - (3 z^3)/a^9 + (3 z^3)/a^5 + (2 z^3)/a^3 + (3 z^3)/a + (
  3 z^4)/a^10 - (3 z^4)/a^8 + (12 z^4)/a^6 + (39 z^4)/a^4 + (21 z^4)/
  a^2 + (4 z^5)/a^9 - (6 z^5)/a^7 - (3 z^5)/a^5 + (3 z^5)/a^3 - (
  4 z^5)/a + (4 z^6)/a^8 - (12 z^6)/a^6 - (31 z^6)/a^4 - (15 z^6)/
  a^2 + (4 z^7)/a^7 - (4 z^7)/a^5 - (7 z^7)/a^3 + z^7/a + (4 z^8)/
  a^6 + (7 z^8)/a^4 + (3 z^8)/a^2 + (2 z^9)/a^5 + (2 z^9)/a^3, -7 + 1/
  a^4 - 3/a^2 - 4 a^2 - a^4 - a^6 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 
  2/(a z) - (2 a)/z + (6 z)/a + 2 a z - 6 a^3 z - 2 a^5 z + 10 z^2 - (
  2 z^2)/a^4 + (3 z^2)/a^2 + 8 a^2 z^2 + 6 a^4 z^2 + 3 a^6 z^2 - (
  2 z^3)/a^3 - (5 z^3)/a + 11 a z^3 + 21 a^3 z^3 + 7 a^5 z^3 - 3 z^4 +
   z^4/a^4 - (3 z^4)/a^2 - a^2 z^4 - 5 a^4 z^4 - 3 a^6 z^4 + (2 z^5)/
  a^3 - 17 a z^5 - 24 a^3 z^5 - 9 a^5 z^5 - 2 z^6 + (3 z^6)/a^2 - 
  11 a^2 z^6 - 5 a^4 z^6 + a^6 z^6 + (3 z^7)/a + 6 a z^7 + 
  6 a^3 z^7 + 3 a^5 z^7 + 3 z^8 + 6 a^2 z^8 + 3 a^4 z^8 + a z^9 + 
  a^3 z^9, 1 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z - 
  20 z^2 + (2 z^2)/a^4 - (8 z^2)/a^2 - 8 a^2 z^2 + 2 a^4 z^2 - (
  2 z^3)/a^5 + (4 z^3)/a^3 + (6 z^3)/a + 6 a z^3 + 4 a^3 z^3 - 
  2 a^5 z^3 + 42 z^4 - (7 z^4)/a^4 + (14 z^4)/a^2 + 14 a^2 z^4 - 
  7 a^4 z^4 + z^5/a^5 - (9 z^5)/a^3 - (2 z^5)/a - 2 a z^5 - 
  9 a^3 z^5 + a^5 z^5 - 28 z^6 + (3 z^6)/a^4 - (11 z^6)/a^2 - 
  11 a^2 z^6 + 3 a^4 z^6 + (4 z^7)/a^3 - (2 z^7)/a - 2 a z^7 + 
  4 a^3 z^7 + 8 z^8 + (4 z^8)/a^2 + 4 a^2 z^8 + (2 z^9)/a + 
  2 a z^9, -5 - 2/a^4 - 6/a^2 - 2 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/
  z^2 - 2/(a z) - (2 a)/z + z/a^5 + (3 z)/a^3 + (3 z)/a + a z - 
  3 z^2 + (9 z^2)/a^4 + (13 z^2)/a^2 - 7 a^2 z^2 + z^3/a^7 - (4 z^3)/
  a^5 + z^3/a^3 + (7 z^3)/a + 5 a z^3 + 4 a^3 z^3 + 26 z^4 + (3 z^4)/
  a^6 - (15 z^4)/a^4 - (12 z^4)/a^2 + 20 a^2 z^4 + (6 z^5)/a^5 - (
  13 z^5)/a^3 - (16 z^5)/a - a z^5 - 4 a^3 z^5 - 28 z^6 + (9 z^6)/
  a^4 - (5 z^6)/a^2 - 14 a^2 z^6 + (8 z^7)/a^3 + (2 z^7)/a - 5 a z^7 +
   a^3 z^7 + 8 z^8 + (5 z^8)/a^2 + 3 a^2 z^8 + (2 z^9)/a + 2 a z^9, 
 8 a^8 + 13 a^10 + 5 a^12 + a^16 - a^8/z^2 - (2 a^10)/z^2 - a^12/
  z^2 + (2 a^9)/z + (2 a^11)/z - 11 a^9 z - 11 a^11 z + 3 a^6 z^2 - 
  20 a^8 z^2 - 31 a^10 z^2 - 8 a^12 z^2 - 2 a^14 z^2 - 2 a^16 z^2 + 
  4 a^7 z^3 + 18 a^9 z^3 + 18 a^11 z^3 + a^13 z^3 - 3 a^15 z^3 - 
  4 a^6 z^4 + 23 a^8 z^4 + 38 a^10 z^4 + 9 a^12 z^4 - a^14 z^4 + 
  a^16 z^4 - 7 a^7 z^5 - 11 a^9 z^5 - 8 a^11 z^5 - 2 a^13 z^5 + 
  2 a^15 z^5 + a^6 z^6 - 14 a^8 z^6 - 22 a^10 z^6 - 5 a^12 z^6 + 
  2 a^14 z^6 + 2 a^7 z^7 + 2 a^13 z^7 + 3 a^8 z^8 + 5 a^10 z^8 + 
  2 a^12 z^8 + a^9 z^9 + a^11 z^9, -2 a^6 + 3 a^8 + 9 a^10 + 3 a^12 - 
  2 a^14 - a^8/z^2 - (2 a^10)/z^2 - a^12/z^2 + (2 a^9)/z + (2 a^11)/
  z + a^7 z - 8 a^9 z - 8 a^11 z + a^13 z - a^4 z^2 + 7 a^6 z^2 - 
  4 a^8 z^2 - 16 a^10 z^2 + a^12 z^2 + 5 a^14 z^2 - 2 a^5 z^3 + 
  2 a^7 z^3 + 12 a^9 z^3 + 12 a^11 z^3 + 4 a^13 z^3 + a^4 z^4 - 
  9 a^6 z^4 + 2 a^8 z^4 + 14 a^10 z^4 - 2 a^12 z^4 - 4 a^14 z^4 + 
  3 a^5 z^5 - 7 a^7 z^5 - 16 a^9 z^5 - 12 a^11 z^5 - 6 a^13 z^5 + 
  6 a^6 z^6 - 3 a^8 z^6 - 13 a^10 z^6 - 3 a^12 z^6 + a^14 z^6 + 
  6 a^7 z^7 + 7 a^9 z^7 + 3 a^11 z^7 + 2 a^13 z^7 + 4 a^8 z^8 + 
  6 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + a^11 z^9, -(2/a^10) + 3/a^8 + 9/
  a^6 + 3/a^4 - 2/a^2 - 1/(a^8 z^2) - 2/(a^6 z^2) - 1/(a^4 z^2) + 2/(
  a^7 z) + 2/(a^5 z) + z/a^9 - (8 z)/a^7 - (8 z)/a^5 + z/a^3 - (
  2 z^2)/a^12 + (6 z^2)/a^10 - (5 z^2)/a^8 - (19 z^2)/a^6 - z^2/
  a^4 + (5 z^2)/a^2 - (3 z^3)/a^11 + (4 z^3)/a^9 + (14 z^3)/a^7 + (
  10 z^3)/a^5 + (3 z^3)/a^3 + z^4/a^12 - (6 z^4)/a^10 + (12 z^4)/
  a^8 + (22 z^4)/a^6 - z^4/a^4 - (4 z^4)/a^2 + (2 z^5)/a^11 - (5 z^5)/
  a^9 - (10 z^5)/a^7 - (9 z^5)/a^5 - (6 z^5)/a^3 + (3 z^6)/a^10 - (
  8 z^6)/a^8 - (16 z^6)/a^6 - (4 z^6)/a^4 + z^6/a^2 + (3 z^7)/a^9 + (
  2 z^7)/a^7 + z^7/a^5 + (2 z^7)/a^3 + (3 z^8)/a^8 + (5 z^8)/a^6 + (
  2 z^8)/a^4 + z^9/a^7 + z^9/a^5, 
 1/a^12 + 5/a^8 + 13/a^6 + 8/a^4 - 1/(a^8 z^2) - 2/(a^6 z^2) - 1/(
  a^4 z^2) + 2/(a^7 z) + 2/(a^5 z) - (11 z)/a^7 - (11 z)/a^5 + z^2/
  a^14 - (3 z^2)/a^12 - (13 z^2)/a^8 - (35 z^2)/a^6 - (18 z^2)/a^4 + (
  2 z^3)/a^13 - (4 z^3)/a^11 + (4 z^3)/a^9 + (19 z^3)/a^7 + (9 z^3)/
  a^5 + (3 z^4)/a^12 - (6 z^4)/a^10 + (20 z^4)/a^8 + (46 z^4)/a^6 + (
  17 z^4)/a^4 + (3 z^5)/a^11 - (9 z^5)/a^9 - (8 z^5)/a^7 + (4 z^5)/
  a^5 + (3 z^6)/a^10 - (14 z^6)/a^8 - (24 z^6)/a^6 - (7 z^6)/a^4 + (
  3 z^7)/a^9 - (2 z^7)/a^7 - (5 z^7)/a^5 + (3 z^8)/a^8 + (4 z^8)/a^6 +
   z^8/a^4 + z^9/a^7 + z^9/a^5, 
 1 + 8/a^8 + 13/a^6 + 5/a^4 - 1/(a^8 z^2) - 2/(a^6 z^2) - 1/(
  a^4 z^2) + 2/(a^7 z) + 2/(a^5 z) - (11 z)/a^7 - (11 z)/a^5 - 
  2 z^2 + (4 z^2)/a^10 - (19 z^2)/a^8 - (30 z^2)/a^6 - (5 z^2)/a^4 + (
  4 z^3)/a^9 + (17 z^3)/a^7 + (21 z^3)/a^5 + (6 z^3)/a^3 - (2 z^3)/a +
   z^4 - (4 z^4)/a^10 + (18 z^4)/a^8 + (28 z^4)/a^6 + (3 z^4)/a^4 - (
  2 z^4)/a^2 - (6 z^5)/a^9 - (15 z^5)/a^7 - (17 z^5)/a^5 - (6 z^5)/
  a^3 + (2 z^5)/a + z^6/a^10 - (11 z^6)/a^8 - (18 z^6)/a^6 - (3 z^6)/
  a^4 + (3 z^6)/a^2 + (2 z^7)/a^9 + (3 z^7)/a^7 + (5 z^7)/a^5 + (
  4 z^7)/a^3 + (3 z^8)/a^8 + (6 z^8)/a^6 + (3 z^8)/a^4 + z^9/a^7 + 
  z^9/a^5, 3 + 3/a^4 + 5/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - (3 z)/a^3 - (3 z)/a - z^2 + (2 z^2)/a^6 - (
  7 z^2)/a^4 - (13 z^2)/a^2 + 3 a^2 z^2 + (7 z^3)/a^5 + (10 z^3)/
  a^3 + (8 z^3)/a + 3 a z^3 - 2 a^3 z^3 - 4 z^4 - (3 z^4)/a^6 + (
  11 z^4)/a^4 + (20 z^4)/a^2 - 9 a^2 z^4 + a^4 z^4 - (9 z^5)/a^5 - (
  13 z^5)/a^3 - (19 z^5)/a - 11 a z^5 + 4 a^3 z^5 - 3 z^6 + z^6/
  a^6 - (11 z^6)/a^4 - (23 z^6)/a^2 + 8 a^2 z^6 + (3 z^7)/a^5 + (
  2 z^7)/a^3 + (8 z^7)/a + 9 a z^7 + 6 z^8 + (4 z^8)/a^4 + (10 z^8)/
  a^2 + (2 z^9)/a^3 + (2 z^9)/a, 
 3 + 3/a^4 + 5/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(a^3 z) + 
  2/(a z) - (3 z)/a^3 - (3 z)/a - 9 z^2 - z^2/a^8 + z^2/a^6 - (
  10 z^2)/a^4 - (22 z^2)/a^2 + a^2 z^2 - (4 z^3)/a^7 + (2 z^3)/a^5 + (
  7 z^3)/a^3 + (7 z^3)/a + 6 a z^3 + 17 z^4 + z^4/a^8 - (5 z^4)/
  a^6 + (15 z^4)/a^4 + (41 z^4)/a^2 - 3 a^2 z^4 + (3 z^5)/a^7 - (
  5 z^5)/a^5 - (3 z^5)/a^3 - (5 z^5)/a - 10 a z^5 - 15 z^6 + (4 z^6)/
  a^6 - (10 z^6)/a^4 - (30 z^6)/a^2 + a^2 z^6 + (4 z^7)/a^5 - (2 z^7)/
  a^3 - (3 z^7)/a + 3 a z^7 + 4 z^8 + (4 z^8)/a^4 + (8 z^8)/a^2 + (
  2 z^9)/a^3 + (2 z^9)/a, -2 + 1/a^8 - 3/a^6 - 10/a^4 - 9/a^2 + 1/(
  a^6 z^2) + 2/(a^4 z^2) + 1/(a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (
  5 z)/a^5 + (7 z)/a^3 + (3 z)/a + a z + 5 z^2 + (5 z^2)/a^6 + (
  18 z^2)/a^4 + (18 z^2)/a^2 + (4 z^3)/a^7 + (9 z^3)/a^5 + (4 z^3)/
  a^3 - (3 z^3)/a - 2 a z^3 - 6 z^4 - (6 z^4)/a^8 - (8 z^4)/a^6 - (
  9 z^4)/a^4 - (13 z^4)/a^2 + z^5/a^9 - (15 z^5)/a^7 - (28 z^5)/
  a^5 - (16 z^5)/a^3 - (3 z^5)/a + a z^5 + 3 z^6 + (5 z^6)/a^8 - (
  5 z^6)/a^6 - (12 z^6)/a^4 + z^6/a^2 + (9 z^7)/a^7 + (13 z^7)/a^5 + (
  8 z^7)/a^3 + (4 z^7)/a + (7 z^8)/a^6 + (11 z^8)/a^4 + (4 z^8)/
  a^2 + (2 z^9)/a^5 + (2 z^9)/a^3, -(1/a^10) - 3/a^8 - 7/a^6 - 8/
  a^4 - 4/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(a^2 z^2) - 2/(a^5 z) - 
  2/(a^3 z) - z/a^9 - (3 z)/a^7 + z/a^5 + (3 z)/a^3 + (3 z^2)/a^10 + (
  11 z^2)/a^8 + (18 z^2)/a^6 + (16 z^2)/a^4 + (6 z^2)/a^2 - (2 z^3)/
  a^11 + (5 z^3)/a^9 + (16 z^3)/a^7 + (11 z^3)/a^5 + (2 z^3)/a^3 + 
  z^4/a^12 - (9 z^4)/a^10 - (15 z^4)/a^8 - (13 z^4)/a^6 - (12 z^4)/
  a^4 - (4 z^4)/a^2 + (4 z^5)/a^11 - (12 z^5)/a^9 - (29 z^5)/a^7 - (
  18 z^5)/a^5 - (5 z^5)/a^3 + (8 z^6)/a^10 + (2 z^6)/a^8 - (7 z^6)/
  a^6 + z^6/a^2 + (9 z^7)/a^9 + (13 z^7)/a^7 + (6 z^7)/a^5 + (2 z^7)/
  a^3 + (5 z^8)/a^8 + (7 z^8)/a^6 + (2 z^8)/a^4 + z^9/a^7 + z^9/
  a^5, -11 - 2/a^4 - 8/a^2 - 8 a^2 - 2 a^4 + 2/z^2 + 1/(a^2 z^2) + 
  a^2/z^2 - 2/(a z) - (2 a)/z + z/a^5 + (3 z)/a^3 + (4 z)/a + 4 a z + 
  3 a^3 z + a^5 z + 26 z^2 + (5 z^2)/a^4 + (18 z^2)/a^2 + 
  18 a^2 z^2 + 5 a^4 z^2 - (2 z^3)/a^5 - (2 z^3)/a^3 + (2 z^3)/a + 
  2 a z^3 - 2 a^3 z^3 - 2 a^5 z^3 - 24 z^4 - (6 z^4)/a^4 - (18 z^4)/
  a^2 - 18 a^2 z^4 - 6 a^4 z^4 + z^5/a^5 - (4 z^5)/a^3 - (15 z^5)/a - 
  15 a z^5 - 4 a^3 z^5 + a^5 z^5 + 2 z^6 + (3 z^6)/a^4 + (4 z^6)/
  a^2 + 4 a^2 z^6 + 3 a^4 z^6 + (4 z^7)/a^3 + (9 z^7)/a + 9 a z^7 + 
  4 a^3 z^7 + 6 z^8 + (3 z^8)/a^2 + 3 a^2 z^8 + z^9/a + a z^9, 
 4 - 3/a^6 + 2/a^4 + 10/a^2 - 2 a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) + z/a^5 - (10 z)/a^3 - (10 z)/a + 
  a z - 7 z^2 - z^2/a^8 + (8 z^2)/a^6 + (3 z^2)/a^4 - (18 z^2)/a^2 + 
  5 a^2 z^2 - (2 z^3)/a^7 + z^3/a^5 + (24 z^3)/a^3 + (23 z^3)/a + 
  2 a z^3 + 8 z^4 + z^4/a^8 - (9 z^4)/a^6 - (7 z^4)/a^4 + (15 z^4)/
  a^2 - 4 a^2 z^4 + (3 z^5)/a^7 - (6 z^5)/a^5 - (27 z^5)/a^3 - (
  23 z^5)/a - 5 a z^5 - 8 z^6 + (6 z^6)/a^6 - (15 z^6)/a^2 + 
  a^2 z^6 + (6 z^7)/a^5 + (10 z^7)/a^3 + (6 z^7)/a + 2 a z^7 + 
  3 z^8 + (4 z^8)/a^4 + (7 z^8)/a^2 + z^9/a^3 + z^9/a, -a^6 + 7 a^8 + 
  14 a^10 + 6 a^12 + a^16 - a^8/z^2 - (2 a^10)/z^2 - a^12/z^2 + (
  2 a^9)/z + (2 a^11)/z - 13 a^9 z - 13 a^11 z + 4 a^6 z^2 - 
  14 a^8 z^2 - 32 a^10 z^2 - 11 a^12 z^2 + a^14 z^2 - 2 a^16 z^2 + 
  3 a^7 z^3 + 25 a^9 z^3 + 24 a^11 z^3 - 2 a^15 z^3 - 4 a^6 z^4 + 
  15 a^8 z^4 + 34 a^10 z^4 + 11 a^12 z^4 - 3 a^14 z^4 + a^16 z^4 - 
  6 a^7 z^5 - 19 a^9 z^5 - 17 a^11 z^5 - 2 a^13 z^5 + 2 a^15 z^5 + 
  a^6 z^6 - 11 a^8 z^6 - 21 a^10 z^6 - 6 a^12 z^6 + 3 a^14 z^6 + 
  2 a^7 z^7 + 3 a^9 z^7 + 4 a^11 z^7 + 3 a^13 z^7 + 3 a^8 z^8 + 
  6 a^10 z^8 + 3 a^12 z^8 + a^9 z^9 + a^11 z^9, -2 a^2 - 2 a^4 - 
  2 a^6 - 5 a^8 - 4 a^10 + a^6/z^2 + (2 a^8)/z^2 + a^10/z^2 - (2 a^7)/
  z - (2 a^9)/z - 4 a^3 z - 12 a^5 z - 4 a^7 z + 4 a^9 z - z^2 + 
  6 a^2 z^2 + 14 a^4 z^2 + 6 a^6 z^2 + 5 a^8 z^2 + 6 a^10 z^2 - 
  2 a z^3 + 12 a^3 z^3 + 36 a^5 z^3 + 22 a^7 z^3 + z^4 - 7 a^2 z^4 - 
  16 a^4 z^4 - 5 a^6 z^4 - a^8 z^4 - 4 a^10 z^4 + 3 a z^5 - 
  13 a^3 z^5 - 41 a^5 z^5 - 29 a^7 z^5 - 4 a^9 z^5 + 6 a^2 z^6 + 
  a^4 z^6 - 11 a^6 z^6 - 5 a^8 z^6 + a^10 z^6 + 8 a^3 z^7 + 
  15 a^5 z^7 + 9 a^7 z^7 + 2 a^9 z^7 + 5 a^4 z^8 + 8 a^6 z^8 + 
  3 a^8 z^8 + a^5 z^9 + a^7 z^9, -7 - 5/a^2 - 2 a^2 - a^6 + 2/z^2 + 
  1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (6 z)/a + 2 a z - 
  6 a^3 z - 2 a^5 z + 10 z^2 + (8 z^2)/a^2 + 3 a^2 z^2 + 4 a^4 z^2 + 
  3 a^6 z^2 + z^3/a + 17 a z^3 + 23 a^3 z^3 + 7 a^5 z^3 - 12 z^4 + 
  z^4/a^4 - (12 z^4)/a^2 + 4 a^2 z^4 - 3 a^6 z^4 + (4 z^5)/a^3 - (
  15 z^5)/a - 38 a z^5 - 27 a^3 z^5 - 8 a^5 z^5 - 3 z^6 + (10 z^6)/
  a^2 - 21 a^2 z^6 - 7 a^4 z^6 + a^6 z^6 + (12 z^7)/a + 16 a z^7 + 
  7 a^3 z^7 + 3 a^5 z^7 + 8 z^8 + 12 a^2 z^8 + 4 a^4 z^8 + 2 a z^9 + 
  2 a^3 z^9, -3 - 2/a^2 - 2 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(
  a z) - (2 a)/z + (2 z)/a + 2 a z - 2 z^2 + (2 z^2)/a^4 + z^2/a^2 + 
  a^2 z^2 + 2 a^4 z^2 - z^3/a^5 + (4 z^3)/a^3 + (9 z^3)/a + 9 a z^3 + 
  4 a^3 z^3 - a^5 z^3 + 16 z^4 - (6 z^4)/a^4 + (2 z^4)/a^2 + 
  2 a^2 z^4 - 6 a^4 z^4 + z^5/a^5 - (11 z^5)/a^3 - (19 z^5)/a - 
  19 a z^5 - 11 a^3 z^5 + a^5 z^5 - 26 z^6 + (4 z^6)/a^4 - (9 z^6)/
  a^2 - 9 a^2 z^6 + 4 a^4 z^6 + (7 z^7)/a^3 + (7 z^7)/a + 7 a z^7 + 
  7 a^3 z^7 + 14 z^8 + (7 z^8)/a^2 + 7 a^2 z^8 + (3 z^9)/a + 
  3 a z^9, -3 - 2/a^2 - 2 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(
  a z) - (2 a)/z + (2 z)/a + 2 a z - 10 z^2 - (8 z^2)/a^2 + 
  3 a^2 z^2 + 4 a^4 z^2 - a^6 z^2 + (4 z^3)/a^3 + (6 z^3)/a + 
  11 a z^3 + 5 a^3 z^3 - 3 a^5 z^3 + a^7 z^3 + 32 z^4 + (20 z^4)/a^2 -
   a^2 z^4 - 10 a^4 z^4 + 3 a^6 z^4 - (4 z^5)/a^3 - (2 z^5)/a - 
  16 a z^5 - 13 a^3 z^5 + 5 a^5 z^5 - 30 z^6 - (14 z^6)/a^2 - 
  9 a^2 z^6 + 7 a^4 z^6 + z^7/a^3 - (5 z^7)/a + a z^7 + 7 a^3 z^7 + 
  8 z^8 + (3 z^8)/a^2 + 5 a^2 z^8 + (2 z^9)/a + 2 a z^9, -3 - 2/a^2 - 
  2 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (2 z)/
  a + 2 a z - 12 z^2 + (3 z^2)/a^4 - (3 z^2)/a^2 - 3 a^2 z^2 + 
  3 a^4 z^2 - (2 z^3)/a^5 + (3 z^3)/a^3 + (3 z^3)/a + 3 a z^3 + 
  3 a^3 z^3 - 2 a^5 z^3 + 32 z^4 - (7 z^4)/a^4 + (9 z^4)/a^2 + 
  9 a^2 z^4 - 7 a^4 z^4 + z^5/a^5 - (8 z^5)/a^3 - (2 z^5)/a - 
  2 a z^5 - 8 a^3 z^5 + a^5 z^5 - 24 z^6 + (3 z^6)/a^4 - (9 z^6)/
  a^2 - 9 a^2 z^6 + 3 a^4 z^6 + (4 z^7)/a^3 - z^7/a - a z^7 + 
  4 a^3 z^7 + 8 z^8 + (4 z^8)/a^2 + 4 a^2 z^8 + (2 z^9)/a + 2 a z^9, 
 7 a^8 + 11 a^10 + 3 a^12 - 2 a^14 - a^8/z^2 - (2 a^10)/z^2 - a^12/
  z^2 + (2 a^9)/z + (2 a^11)/z - 9 a^9 z - 9 a^11 z + 4 a^6 z^2 - 
  18 a^8 z^2 - 23 a^10 z^2 + 5 a^12 z^2 + 5 a^14 z^2 - a^16 z^2 + 
  4 a^7 z^3 + 15 a^9 z^3 + 17 a^11 z^3 + 3 a^13 z^3 - 3 a^15 z^3 - 
  4 a^6 z^4 + 18 a^8 z^4 + 22 a^10 z^4 - 8 a^12 z^4 - 7 a^14 z^4 + 
  a^16 z^4 - 6 a^7 z^5 - 14 a^9 z^5 - 17 a^11 z^5 - 6 a^13 z^5 + 
  3 a^15 z^5 + a^6 z^6 - 11 a^8 z^6 - 16 a^10 z^6 + a^12 z^6 + 
  5 a^14 z^6 + 2 a^7 z^7 + 3 a^9 z^7 + 6 a^11 z^7 + 5 a^13 z^7 + 
  3 a^8 z^8 + 6 a^10 z^8 + 3 a^12 z^8 + a^9 z^9 + 
  a^11 z^9, -(1/a^10) + 5/a^8 + 11/a^6 + 5/a^4 - 1/a^2 - 1/(
  a^8 z^2) - 2/(a^6 z^2) - 1/(a^4 z^2) + 2/(a^7 z) + 2/(a^5 z) - (
  9 z)/a^7 - (9 z)/a^5 - (2 z^2)/a^12 + (5 z^2)/a^10 - (14 z^2)/
  a^8 - (31 z^2)/a^6 - (6 z^2)/a^4 + (4 z^2)/a^2 - (3 z^3)/a^11 + (
  6 z^3)/a^9 + (16 z^3)/a^7 + (12 z^3)/a^5 + (5 z^3)/a^3 + z^4/
  a^12 - (6 z^4)/a^10 + (19 z^4)/a^8 + (35 z^4)/a^6 + (5 z^4)/a^4 - (
  4 z^4)/a^2 + (2 z^5)/a^11 - (6 z^5)/a^9 - (9 z^5)/a^7 - (8 z^5)/
  a^5 - (7 z^5)/a^3 + (3 z^6)/a^10 - (10 z^6)/a^8 - (20 z^6)/a^6 - (
  6 z^6)/a^4 + z^6/a^2 + (3 z^7)/a^9 + z^7/a^7 + (2 z^7)/a^3 + (
  3 z^8)/a^8 + (5 z^8)/a^6 + (2 z^8)/a^4 + z^9/a^7 + z^9/
  a^5, -(2/a^10) + 3/a^8 + 11/a^6 + 7/a^4 - 1/(a^8 z^2) - 2/(
  a^6 z^2) - 1/(a^4 z^2) + 2/(a^7 z) + 2/(a^5 z) - (9 z)/a^7 - (9 z)/
  a^5 + z^2/a^14 - (2 z^2)/a^12 + (9 z^2)/a^10 - (3 z^2)/a^8 - (
  32 z^2)/a^6 - (17 z^2)/a^4 + (2 z^3)/a^13 - (6 z^3)/a^11 + (6 z^3)/
  a^9 + (20 z^3)/a^7 + (6 z^3)/a^5 + (3 z^4)/a^12 - (14 z^4)/a^10 + (
  9 z^4)/a^8 + (43 z^4)/a^6 + (17 z^4)/a^4 + (4 z^5)/a^11 - (12 z^5)/
  a^9 - (11 z^5)/a^7 + (5 z^5)/a^5 + (5 z^6)/a^10 - (11 z^6)/a^8 - (
  23 z^6)/a^6 - (7 z^6)/a^4 + (4 z^7)/a^9 - z^7/a^7 - (5 z^7)/a^5 + (
  3 z^8)/a^8 + (4 z^8)/a^6 + z^8/a^4 + z^9/a^7 + z^9/a^5, 
 4 - 1/a^6 + 2/a^4 + 6/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - (5 z)/a^3 - (5 z)/a - 9 z^2 - z^2/a^8 + (3 z^2)/
  a^6 - (3 z^2)/a^4 - (18 z^2)/a^2 + 2 a^2 z^2 - (3 z^3)/a^7 + (
  6 z^3)/a^5 + (12 z^3)/a^3 + (9 z^3)/a + 6 a z^3 + 12 z^4 + z^4/
  a^8 - (6 z^4)/a^6 + (7 z^4)/a^4 + (29 z^4)/a^2 - 3 a^2 z^4 + (
  3 z^5)/a^7 - (9 z^5)/a^5 - (13 z^5)/a^3 - (10 z^5)/a - 9 a z^5 - 
  12 z^6 + (5 z^6)/a^6 - (8 z^6)/a^4 - (26 z^6)/a^2 + a^2 z^6 + (
  6 z^7)/a^5 + (3 z^7)/a^3 + 3 a z^7 + 4 z^8 + (5 z^8)/a^4 + (9 z^8)/
  a^2 + (2 z^9)/a^3 + (2 z^9)/a, 
 1 + a^2 + a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/z + (2 a^3)/z -
   a z - a^3 z - 2 z^2 + z^2/a^2 - 4 a^2 z^2 + 2 a^4 z^2 + 
  3 a^6 z^2 + (6 z^3)/a + 12 a z^3 + 12 a^3 z^3 + 4 a^5 z^3 - 
  2 a^7 z^3 + 10 z^4 - (2 z^4)/a^2 + 18 a^2 z^4 - 3 a^4 z^4 - 
  8 a^6 z^4 + a^8 z^4 - (10 z^5)/a - 20 a z^5 - 26 a^3 z^5 - 
  12 a^5 z^5 + 4 a^7 z^5 - 15 z^6 + z^6/a^2 - 31 a^2 z^6 - 
  7 a^4 z^6 + 8 a^6 z^6 + (4 z^7)/a + 3 a z^7 + 9 a^3 z^7 + 
  10 a^5 z^7 + 6 z^8 + 14 a^2 z^8 + 8 a^4 z^8 + 3 a z^9 + 
  3 a^3 z^9, -a^6 + 5 a^8 + 11 a^10 + 5 a^12 - a^14 - a^8/z^2 - (
  2 a^10)/z^2 - a^12/z^2 + (2 a^9)/z + (2 a^11)/z - 9 a^9 z - 
  9 a^11 z - a^4 z^2 + 6 a^6 z^2 - 10 a^8 z^2 - 23 a^10 z^2 - 
  3 a^12 z^2 + 3 a^14 z^2 - 2 a^5 z^3 + 5 a^7 z^3 + 19 a^9 z^3 + 
  17 a^11 z^3 + 5 a^13 z^3 + a^4 z^4 - 8 a^6 z^4 + 10 a^8 z^4 + 
  26 a^10 z^4 + 4 a^12 z^4 - 3 a^14 z^4 + 3 a^5 z^5 - 9 a^7 z^5 - 
  22 a^9 z^5 - 18 a^11 z^5 - 8 a^13 z^5 + 6 a^6 z^6 - 9 a^8 z^6 - 
  25 a^10 z^6 - 9 a^12 z^6 + a^14 z^6 + 7 a^7 z^7 + 7 a^9 z^7 + 
  3 a^11 z^7 + 3 a^13 z^7 + 6 a^8 z^8 + 10 a^10 z^8 + 4 a^12 z^8 + 
  2 a^9 z^9 + 2 a^11 z^9, 
 8 a^6 + 15 a^8 + 8 a^10 + a^5/z^3 + (3 a^7)/z^3 + (3 a^9)/z^3 + a^11/
  z^3 - (3 a^6)/z^2 - (6 a^8)/z^2 - (3 a^10)/z^2 - (4 a^5)/z - (
  9 a^7)/z - (9 a^9)/z - (4 a^11)/z + 6 a^5 z + 14 a^7 z + 14 a^9 z + 
  6 a^11 z - 6 a^6 z^2 - 12 a^8 z^2 - 6 a^10 z^2 - a z^3 + 5 a^3 z^3 +
   a^5 z^3 - 13 a^7 z^3 - 12 a^9 z^3 - 4 a^11 z^3 - 7 a^2 z^4 + 
  2 a^4 z^4 + 9 a^6 z^4 + a z^5 - 13 a^3 z^5 - 10 a^5 z^5 + 
  6 a^7 z^5 + 3 a^9 z^5 + a^11 z^5 + 4 a^2 z^6 - 6 a^4 z^6 - 
  9 a^6 z^6 + 2 a^8 z^6 + a^10 z^6 + 6 a^3 z^7 + 5 a^5 z^7 + 
  a^9 z^7 + 4 a^4 z^8 + 5 a^6 z^8 + a^8 z^8 + a^5 z^9 + 
  a^7 z^9, -13 a^8 - 24 a^10 - 11 a^12 + a^14 - a^7/z^3 - (3 a^9)/
  z^3 - (3 a^11)/z^3 - a^13/z^3 + (3 a^8)/z^2 + (6 a^10)/z^2 + (
  3 a^12)/z^2 + (6 a^7)/z + (14 a^9)/z + (12 a^11)/z + (3 a^13)/z - 
  a^15/z - 13 a^7 z - 28 a^9 z - 21 a^11 z - 3 a^13 z + 3 a^15 z + 
  17 a^8 z^2 + 33 a^10 z^2 + 16 a^12 z^2 - 2 a^5 z^3 + 20 a^7 z^3 + 
  37 a^9 z^3 + 20 a^11 z^3 + 2 a^13 z^3 - 3 a^15 z^3 - 5 a^6 z^4 - 
  7 a^8 z^4 - 14 a^10 z^4 - 15 a^12 z^4 - 3 a^14 z^4 + a^5 z^5 - 
  17 a^7 z^5 - 28 a^9 z^5 - 15 a^11 z^5 - 4 a^13 z^5 + a^15 z^5 + 
  3 a^6 z^6 - 4 a^8 z^6 - 5 a^10 z^6 + 4 a^12 z^6 + 2 a^14 z^6 + 
  6 a^7 z^7 + 9 a^9 z^7 + 6 a^11 z^7 + 3 a^13 z^7 + 4 a^8 z^8 + 
  6 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + a^11 z^9, -13 + 1/a^6 - 11/
  a^4 - 24/a^2 - 1/(a^5 z^3) - 3/(a^3 z^3) - 3/(a z^3) - a/z^3 + 3/
  z^2 + 3/(a^4 z^2) + 6/(a^2 z^2) - 1/(a^7 z) + 3/(a^5 z) + 12/(
  a^3 z) + 14/(a z) + (6 a)/z + (3 z)/a^7 - (3 z)/a^5 - (21 z)/a^3 - (
  28 z)/a - 13 a z + 17 z^2 + (16 z^2)/a^4 + (33 z^2)/a^2 + z^3/
  a^9 - (6 z^3)/a^7 + (6 z^3)/a^5 + (30 z^3)/a^3 + (30 z^3)/a + 
  13 a z^3 - 6 z^4 + (3 z^4)/a^8 - (8 z^4)/a^6 - (11 z^4)/a^4 - (
  6 z^4)/a^2 + (6 z^5)/a^7 - (13 z^5)/a^5 - (27 z^5)/a^3 - (14 z^5)/
  a - 6 a z^5 - 2 z^6 + (7 z^6)/a^6 - (4 z^6)/a^4 - (13 z^6)/a^2 + (
  7 z^7)/a^5 + (6 z^7)/a^3 + a z^7 + z^8 + (4 z^8)/a^4 + (5 z^8)/a^2 +
   z^9/a^3 + z^9/a, -13 - 24 a^2 - 11 a^4 + a^6 - 1/(a z^3) - (3 a)/
  z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/z^2 + (6 a^2)/z^2 + (3 a^4)/z^2 + 
  6/(a z) + (14 a)/z + (12 a^3)/z + (3 a^5)/z - a^7/z + z/a^3 - (
  14 z)/a - 33 a z - 24 a^3 z - 3 a^5 z + 3 a^7 z + 22 z^2 + z^2/
  a^2 + 36 a^2 z^2 + 15 a^4 z^2 - (2 z^3)/a^3 + (15 z^3)/a + 
  45 a z^3 + 32 a^3 z^3 + a^5 z^3 - 3 a^7 z^3 - 20 z^4 - (4 z^4)/
  a^2 - 21 a^2 z^4 - 8 a^4 z^4 - 3 a^6 z^4 + z^5/a^3 - (13 z^5)/a - 
  37 a z^5 - 27 a^3 z^5 - 3 a^5 z^5 + a^7 z^5 + 2 z^6 + (3 z^6)/a^2 - 
  3 a^2 z^6 + 2 a^6 z^6 + (6 z^7)/a + 13 a z^7 + 10 a^3 z^7 + 
  3 a^5 z^7 + 4 z^8 + 7 a^2 z^8 + 3 a^4 z^8 + a z^9 + a^3 z^9, -2 - 
  3 a^2 - 2 a^4 - 1/(a z^3) - (3 a)/z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/
  z^2 + (6 a^2)/z^2 + (3 a^4)/z^2 + 1/(a z) + a^5/z + a z + a^3 z + (
  8 z^3)/a + 24 a z^3 + 24 a^3 z^3 + 8 a^5 z^3 - (4 z^4)/a^2 + 
  8 a^2 z^4 - 4 a^6 z^4 + z^5/a^3 - (17 z^5)/a - 48 a z^5 - 
  48 a^3 z^5 - 17 a^5 z^5 + a^7 z^5 - 12 z^6 + (5 z^6)/a^2 - 
  34 a^2 z^6 - 12 a^4 z^6 + 5 a^6 z^6 + (11 z^7)/a + 19 a z^7 + 
  19 a^3 z^7 + 11 a^5 z^7 + 11 z^8 + 22 a^2 z^8 + 11 a^4 z^8 + 
  4 a z^9 + 4 a^3 z^9, 
 7 + 4/a^2 + 4 a^2 + 1/(a^3 z^3) + 3/(a z^3) + (3 a)/z^3 + a^3/z^3 - 
  6/z^2 - 3/(a^2 z^2) - (3 a^2)/z^2 - 2/(a^3 z) - 3/(a z) - (3 a)/
  z - (2 a^3)/z - (3 z)/a^3 - (11 z)/a - 11 a z - 3 a^3 z + 4 z^2 + 
  z^2/a^4 + (3 z^2)/a^2 + 3 a^2 z^2 + a^4 z^2 - (2 z^3)/a^5 + (
  12 z^3)/a^3 + (44 z^3)/a + 40 a z^3 + 10 a^3 z^3 + 3 z^4 + z^4/
  a^6 - (7 z^4)/a^4 - (6 z^4)/a^2 - a^2 z^4 - 2 a^4 z^4 + (4 z^5)/
  a^5 - (17 z^5)/a^3 - (53 z^5)/a - 43 a z^5 - 11 a^3 z^5 - 24 z^6 + (
  8 z^6)/a^4 - (6 z^6)/a^2 - 9 a^2 z^6 + a^4 z^6 + (11 z^7)/a^3 + (
  18 z^7)/a + 11 a z^7 + 4 a^3 z^7 + 13 z^8 + (8 z^8)/a^2 + 
  5 a^2 z^8 + (2 z^9)/a + 2 a z^9, -10 a^4 - 19 a^6 - 10 a^8 - a^3/
  z^3 - (3 a^5)/z^3 - (3 a^7)/z^3 - a^9/z^3 + (3 a^4)/z^2 + (6 a^6)/
  z^2 + (3 a^8)/z^2 + (5 a^3)/z + (12 a^5)/z + (12 a^7)/z + (5 a^9)/
  z + a z - 11 a^3 z - 33 a^5 z - 33 a^7 z - 11 a^9 z + a^11 z + 
  a^2 z^2 + 14 a^4 z^2 + 26 a^6 z^2 + 14 a^8 z^2 + a^10 z^2 - 
  2 a z^3 + 10 a^3 z^3 + 54 a^5 z^3 + 54 a^7 z^3 + 10 a^9 z^3 - 
  2 a^11 z^3 - 5 a^2 z^4 - 9 a^4 z^4 - 8 a^6 z^4 - 9 a^8 z^4 - 
  5 a^10 z^4 + a z^5 - 10 a^3 z^5 - 42 a^5 z^5 - 42 a^7 z^5 - 
  10 a^9 z^5 + a^11 z^5 + 3 a^2 z^6 - 2 a^4 z^6 - 10 a^6 z^6 - 
  2 a^8 z^6 + 3 a^10 z^6 + 5 a^3 z^7 + 13 a^5 z^7 + 13 a^7 z^7 + 
  5 a^9 z^7 + 4 a^4 z^8 + 8 a^6 z^8 + 4 a^8 z^8 + a^5 z^9 + 
  a^7 z^9, -10 - 10/a^4 - 19/a^2 - 1/(a^5 z^3) - 3/(a^3 z^3) - 3/(
  a z^3) - a/z^3 + 3/z^2 + 3/(a^4 z^2) + 6/(a^2 z^2) + 5/(a^5 z) + 
  12/(a^3 z) + 12/(a z) + (5 a)/z + (2 z)/a^7 - (12 z)/a^5 - (35 z)/
  a^3 - (31 z)/a - 10 a z + 8 z^2 + (2 z^2)/a^6 + (20 z^2)/a^4 + (
  26 z^2)/a^2 + z^3/a^9 - (5 z^3)/a^7 + (17 z^3)/a^5 + (61 z^3)/
  a^3 + (48 z^3)/a + 10 a z^3 + 4 z^4 + (3 z^4)/a^8 - (10 z^4)/a^6 - (
  17 z^4)/a^4 + (6 z^5)/a^7 - (20 z^5)/a^5 - (51 z^5)/a^3 - (30 z^5)/
  a - 5 a z^5 - 7 z^6 + (8 z^6)/a^6 - (4 z^6)/a^4 - (19 z^6)/a^2 + (
  9 z^7)/a^5 + (12 z^7)/a^3 + (4 z^7)/a + a z^7 + 2 z^8 + (5 z^8)/
  a^4 + (7 z^8)/a^2 + z^9/a^3 + z^9/a, -10 a^4 - 19 a^6 - 10 a^8 - 
  a^3/z^3 - (3 a^5)/z^3 - (3 a^7)/z^3 - a^9/z^3 + (3 a^4)/z^2 + (
  6 a^6)/z^2 + (3 a^8)/z^2 + (5 a^3)/z + (12 a^5)/z + (12 a^7)/z + (
  5 a^9)/z - 7 a^3 z - 23 a^5 z - 29 a^7 z - 12 a^9 z + a^11 z + 
  7 a^4 z^2 + 23 a^6 z^2 + 17 a^8 z^2 + a^10 z^2 - a z^3 + 
  12 a^3 z^3 + 39 a^5 z^3 + 42 a^7 z^3 + 14 a^9 z^3 - 2 a^11 z^3 - 
  5 a^2 z^4 - 4 a^6 z^4 - 13 a^8 z^4 - 4 a^10 z^4 + a z^5 - 
  16 a^3 z^5 - 40 a^5 z^5 - 36 a^7 z^5 - 12 a^9 z^5 + a^11 z^5 + 
  4 a^2 z^6 - 9 a^4 z^6 - 17 a^6 z^6 - a^8 z^6 + 3 a^10 z^6 + 
  8 a^3 z^7 + 14 a^5 z^7 + 12 a^7 z^7 + 6 a^9 z^7 + 7 a^4 z^8 + 
  12 a^6 z^8 + 5 a^8 z^8 + 2 a^5 z^9 + 2 a^7 z^9, -10 a^6 - 25 a^8 - 
  31 a^10 - 25 a^12 - 10 a^14 - a^6/z^4 - (4 a^8)/z^4 - (6 a^10)/
  z^4 - (4 a^12)/z^4 - a^14/z^4 + (4 a^7)/z^3 + (12 a^9)/z^3 + (
  12 a^11)/z^3 + (4 a^13)/z^3 + (5 a^6)/z^2 + (14 a^8)/z^2 + (
  18 a^10)/z^2 + (14 a^12)/z^2 + (5 a^14)/z^2 - (15 a^7)/z - (41 a^9)/
  z - (41 a^11)/z - (15 a^13)/z + 20 a^7 z + 55 a^9 z + 55 a^11 z + 
  20 a^13 z + 10 a^6 z^2 + 30 a^8 z^2 + 40 a^10 z^2 + 30 a^12 z^2 + 
  10 a^14 z^2 - 10 a^7 z^3 - 30 a^9 z^3 - 30 a^11 z^3 - 10 a^13 z^3 + 
  a^4 z^4 - 14 a^6 z^4 - 25 a^8 z^4 - 25 a^10 z^4 - 20 a^12 z^4 - 
  5 a^14 z^4 + 4 a^5 z^5 - 10 a^7 z^5 - 12 a^9 z^5 + 2 a^11 z^5 + 
  10 a^6 z^6 + 5 a^8 z^6 - 2 a^10 z^6 + 4 a^12 z^6 + a^14 z^6 + 
  10 a^7 z^7 + 11 a^9 z^7 + 2 a^11 z^7 + a^13 z^7 + 5 a^8 z^8 + 
  6 a^10 z^8 + a^12 z^8 + a^9 z^9 + a^11 z^9, -1 - 4 a^2 - 7 a^4 - 
  4 a^6 - a^8 + a/z + (4 a^3)/z + (4 a^5)/z + a^7/z - 4 a z - 
  16 a^3 z - 15 a^5 z - 3 a^7 z + 3 z^2 + 11 a^2 z^2 + 15 a^4 z^2 + 
  8 a^6 z^2 + a^8 z^2 + 10 a z^3 + 27 a^3 z^3 + 19 a^5 z^3 + 
  2 a^7 z^3 - 4 z^4 - 6 a^2 z^4 - 6 a^4 z^4 - 4 a^6 z^4 - 9 a z^5 - 
  19 a^3 z^5 - 10 a^5 z^5 + z^6 - 2 a^2 z^6 - 2 a^4 z^6 + a^6 z^6 + 
  2 a z^7 + 4 a^3 z^7 + 2 a^5 z^7 + a^2 z^8 + a^4 z^8, -7 - 1/a^4 - 4/
  a^2 - 4 a^2 - a^4 + 1/(a^3 z) + 4/(a z) + (4 a)/z + a^3/z - (4 z)/
  a^3 - (13 z)/a - 13 a z - 4 a^3 z + 15 z^2 + (3 z^2)/a^4 + (10 z^2)/
  a^2 + 12 a^2 z^2 + 4 a^4 z^2 + (3 z^3)/a^3 + (15 z^3)/a + 
  21 a z^3 + 9 a^3 z^3 - 13 z^4 - (7 z^4)/a^2 - 10 a^2 z^4 - 
  4 a^4 z^4 + z^5/a^3 - (9 z^5)/a - 18 a z^5 - 8 a^3 z^5 + 2 z^6 + (
  3 z^6)/a^2 + a^4 z^6 + (3 z^7)/a + 5 a z^7 + 2 a^3 z^7 + z^8 + 
  a^2 z^8, -7 - 1/a^4 - 4/a^2 - 4 a^2 - a^4 + 1/(a^3 z) + 4/(a z) + (
  4 a)/z + a^3/z - (2 z)/a^3 - (9 z)/a - 11 a z - 4 a^3 z + 13 z^2 + 
  z^2/a^4 + (7 z^2)/a^2 + 11 a^2 z^2 + 4 a^4 z^2 + (2 z^3)/a^3 + (
  13 z^3)/a + 19 a z^3 + 8 a^3 z^3 - 7 z^4 - (3 z^4)/a^2 - 
  8 a^2 z^4 - 4 a^4 z^4 - (8 z^5)/a - 16 a z^5 - 8 a^3 z^5 - z^6 + 
  z^6/a^2 - a^2 z^6 + a^4 z^6 + (2 z^7)/a + 4 a z^7 + 2 a^3 z^7 + 
  z^8 + a^2 z^8, -3 - 1/a^2 - 3 a^2 - 2 a^4 + 1/(a z) + (3 a)/z + (
  4 a^3)/z + (2 a^5)/z + z/a^3 - (3 z)/a - 13 a z - 16 a^3 z - 
  7 a^5 z + 7 z^2 + (3 z^2)/a^2 + 7 a^2 z^2 + 3 a^4 z^2 - (3 z^3)/
  a^3 + (5 z^3)/a + 25 a z^3 + 20 a^3 z^3 + 3 a^5 z^3 - 4 z^4 - (
  6 z^4)/a^2 - 2 a^4 z^4 + z^5/a^3 - (6 z^5)/a - 16 a z^5 - 
  9 a^3 z^5 - z^6 + (2 z^6)/a^2 - 2 a^2 z^6 + a^4 z^6 + (2 z^7)/a + 
  4 a z^7 + 2 a^3 z^7 + z^8 + a^2 z^8, -2 - 1/a^6 - 3/a^4 - 3/a^2 + 
  1/(a^5 z) + 3/(a^3 z) + 4/(a z) + (2 a)/z + z/a^7 - (11 z)/a^3 - (
  17 z)/a - 7 a z + (2 z^2)/a^6 + (9 z^2)/a^4 + (7 z^2)/a^2 - (2 z^3)/
  a^5 + (13 z^3)/a^3 + (26 z^3)/a + 11 a z^3 + 6 z^4 - (8 z^4)/a^4 - (
  2 z^4)/a^2 + z^5/a^5 - (9 z^5)/a^3 - (16 z^5)/a - 6 a z^5 - 
  5 z^6 + (2 z^6)/a^4 - (3 z^6)/a^2 + (2 z^7)/a^3 + (3 z^7)/a + 
  a z^7 + z^8 + z^8/a^2, -2 - 1/a^6 - 3/a^4 - 3/a^2 + 1/(a^5 z) + 3/(
  a^3 z) + 4/(a z) + (2 a)/z + z/a^7 - (2 z)/a^5 - (11 z)/a^3 - (
  11 z)/a - 3 a z + (3 z^2)/a^6 + (5 z^2)/a^4 + (2 z^2)/a^2 - (3 z^3)/
  a^7 + (4 z^3)/a^5 + (19 z^3)/a^3 + (13 z^3)/a + a z^3 + z^4 - (
  6 z^4)/a^6 - z^4/a^4 + (6 z^4)/a^2 + z^5/a^7 - (6 z^5)/a^5 - (
  12 z^5)/a^3 - (5 z^5)/a + (2 z^6)/a^6 - (2 z^6)/a^4 - (4 z^6)/
  a^2 + (2 z^7)/a^5 + (3 z^7)/a^3 + z^7/a + z^8/a^4 + z^8/a^2, 
 1 + 3 a^2 + 2 a^4 + a^6 + 1/(a z) + (2 a)/z + a^3/z - a^5/z - a^7/
  z - (6 z)/a - 13 a z - 7 a^3 z + 3 a^5 z + 3 a^7 z - 3 z^2 - 
  4 a^2 z^2 - a^4 z^2 + (11 z^3)/a + 23 a z^3 + 8 a^3 z^3 - 
  4 a^5 z^3 + 7 z^4 + 2 a^2 z^4 - 4 a^4 z^4 + a^6 z^4 - (6 z^5)/a - 
  15 a z^5 - 7 a^3 z^5 + 2 a^5 z^5 - 5 z^6 - 3 a^2 z^6 + 2 a^4 z^6 + 
  z^7/a + 3 a z^7 + 2 a^3 z^7 + z^8 + a^2 z^8, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 2/(a^3 z) + 1/(a z) - a/z - 
  a^3/z - (3 z)/a^5 - (11 z)/a^3 - (8 z)/a + 3 a z + 3 a^3 z - 
  7 z^2 - (2 z^2)/a^4 - (9 z^2)/a^2 + z^3/a^5 + (14 z^3)/a^3 + (
  17 z^3)/a - 4 a^3 z^3 + 9 z^4 + z^4/a^4 + (13 z^4)/a^2 - 
  3 a^2 z^4 - (6 z^5)/a^3 - (10 z^5)/a - 3 a z^5 + a^3 z^5 - 5 z^6 - (
  6 z^6)/a^2 + a^2 z^6 + z^7/a^3 + (2 z^7)/a + a z^7 + z^8 + z^8/a^2, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 2/(a^3 z) + 1/(a z) - a/z - 
  a^3/z - (5 z)/a^5 - (13 z)/a^3 - (8 z)/a + a z + a^3 z - 4 z^2 - (
  5 z^2)/a^4 - (9 z^2)/a^2 + (10 z^3)/a^5 + (21 z^3)/a^3 + (11 z^3)/
  a + z^4 + (10 z^4)/a^4 + (11 z^4)/a^2 - (6 z^5)/a^5 - (12 z^5)/
  a^3 - (6 z^5)/a - (6 z^6)/a^4 - (6 z^6)/a^2 + z^7/a^5 + (2 z^7)/
  a^3 + z^7/a + z^8/a^4 + z^8/a^2, -2 a^4 - 3 a^6 - 3 a^8 - a^10 + (
  2 a^3)/z + (4 a^5)/z + (3 a^7)/z + a^9/z - 8 a^3 z - 17 a^5 z - 
  12 a^7 z - 2 a^9 z + a^11 z + 2 a^4 z^2 + 5 a^6 z^2 + 4 a^8 z^2 + 
  a^10 z^2 + 11 a^3 z^3 + 28 a^5 z^3 + 18 a^7 z^3 + a^9 z^3 + 
  5 a^4 z^4 + a^6 z^4 - 4 a^8 z^4 - 6 a^3 z^5 - 17 a^5 z^5 - 
  11 a^7 z^5 - 5 a^4 z^6 - 4 a^6 z^6 + a^8 z^6 + a^3 z^7 + 
  3 a^5 z^7 + 2 a^7 z^7 + a^4 z^8 + a^6 z^8, -2 - 3 a^2 - 3 a^4 - 
  a^6 + 2/(a z) + (4 a)/z + (3 a^3)/z + a^5/z - (5 z)/a - 15 a z - 
  13 a^3 z - 2 a^5 z + a^7 z + 5 a^2 z^2 + 9 a^4 z^2 + 4 a^6 z^2 + (
  3 z^3)/a + 17 a z^3 + 20 a^3 z^3 + 3 a^5 z^3 - 3 a^7 z^3 - 
  6 a^4 z^4 - 6 a^6 z^4 - 7 a z^5 - 13 a^3 z^5 - 5 a^5 z^5 + a^7 z^5 +
   z^6 - a^2 z^6 + 2 a^6 z^6 + 2 a z^7 + 4 a^3 z^7 + 2 a^5 z^7 + 
  a^2 z^8 + a^4 z^8, -2 - 3 a^2 - 3 a^4 - a^6 + 2/(a z) + (4 a)/z + (
  3 a^3)/z + a^5/z - (5 z)/a - 13 a z - 9 a^3 z + a^7 z + 2 z^2 + 
  10 a^2 z^2 + 11 a^4 z^2 + 3 a^6 z^2 + (3 z^3)/a + 14 a z^3 + 
  12 a^3 z^3 - a^5 z^3 - 2 a^7 z^3 - 7 a^2 z^4 - 14 a^4 z^4 - 
  7 a^6 z^4 - 5 a z^5 - 11 a^3 z^5 - 5 a^5 z^5 + a^7 z^5 + z^6 + 
  2 a^2 z^6 + 4 a^4 z^6 + 3 a^6 z^6 + 2 a z^7 + 5 a^3 z^7 + 
  3 a^5 z^7 + a^2 z^8 + a^4 z^8, -2 a^4 - 3 a^6 - 3 a^8 - a^10 + (
  2 a^3)/z + (4 a^5)/z + (3 a^7)/z + a^9/z - 9 a^3 z - 18 a^5 z - 
  11 a^7 z - a^9 z + a^11 z + 4 a^4 z^2 + 12 a^6 z^2 + 10 a^8 z^2 + 
  2 a^10 z^2 + 12 a^3 z^3 + 30 a^5 z^3 + 17 a^7 z^3 - a^9 z^3 + 
  2 a^4 z^4 - 9 a^6 z^4 - 11 a^8 z^4 - 6 a^3 z^5 - 20 a^5 z^5 - 
  13 a^7 z^5 + a^9 z^5 - 4 a^4 z^6 - a^6 z^6 + 3 a^8 z^6 + a^3 z^7 + 
  4 a^5 z^7 + 3 a^7 z^7 + a^4 z^8 + a^6 z^8, -2 - 3 a^2 - 3 a^4 - 
  a^6 + 2/(a z) + (4 a)/z + (3 a^3)/z + a^5/z - (7 z)/a - 19 a z - 
  15 a^3 z - 2 a^5 z + a^7 z - z^2 + 5 a^2 z^2 + 10 a^4 z^2 + 
  4 a^6 z^2 + (10 z^3)/a + 30 a z^3 + 24 a^3 z^3 + a^5 z^3 - 
  3 a^7 z^3 + 8 z^4 + 6 a^2 z^4 - 9 a^4 z^4 - 7 a^6 z^4 - (6 z^5)/a - 
  15 a z^5 - 13 a^3 z^5 - 3 a^5 z^5 + a^7 z^5 - 6 z^6 - 6 a^2 z^6 + 
  2 a^4 z^6 + 2 a^6 z^6 + z^7/a + 2 a z^7 + 2 a^3 z^7 + a^5 z^7 + 
  z^8 + a^2 z^8, -(2/a^8) - 5/a^6 - 3/a^4 + 1/a^2 + 1/(a^7 z) + 2/(
  a^5 z) - 1/(a z) - (2 z)/a^7 - (9 z)/a^5 - (10 z)/a^3 - (3 z)/a + 
  2 z^2 + (3 z^2)/a^8 + (12 z^2)/a^6 + (12 z^2)/a^4 + (5 z^2)/a^2 + (
  3 z^3)/a^7 + (18 z^3)/a^5 + (26 z^3)/a^3 + (11 z^3)/a - 3 z^4 - (
  9 z^4)/a^6 - (12 z^4)/a^4 - (6 z^4)/a^2 + z^5/a^7 - (15 z^5)/a^5 - (
  27 z^5)/a^3 - (11 z^5)/a + z^6 + (4 z^6)/a^6 - (3 z^6)/a^2 + (
  5 z^7)/a^5 + (8 z^7)/a^3 + (3 z^7)/a + (2 z^8)/a^4 + (2 z^8)/
  a^2, -5 a^4 - 5 a^6 + a^10 + (3 a^3)/z + (5 a^5)/z + (2 a^7)/z - 
  8 a^3 z - 15 a^5 z - 9 a^7 z - 2 a^9 z + 7 a^4 z^2 + 14 a^6 z^2 + 
  10 a^8 z^2 + 3 a^10 z^2 + 6 a^3 z^3 + 19 a^5 z^3 + 17 a^7 z^3 + 
  3 a^9 z^3 - a^11 z^3 - 3 a^4 z^4 - 15 a^6 z^4 - 20 a^8 z^4 - 
  8 a^10 z^4 - 11 a^5 z^5 - 21 a^7 z^5 - 9 a^9 z^5 + a^11 z^5 + 
  3 a^4 z^6 + 5 a^6 z^6 + 6 a^8 z^6 + 4 a^10 z^6 + 5 a^5 z^7 + 
  10 a^7 z^7 + 5 a^9 z^7 + 2 a^6 z^8 + 2 a^8 z^8, -1 - 4 a^2 - 
  7 a^4 - 4 a^6 - a^8 + a/z + (4 a^3)/z + (4 a^5)/z + a^7/z - 5 a z - 
  17 a^3 z - 14 a^5 z - 2 a^7 z + 4 z^2 + 13 a^2 z^2 + 18 a^4 z^2 + 
  10 a^6 z^2 + a^8 z^2 + 9 a z^3 + 26 a^3 z^3 + 20 a^5 z^3 + 
  3 a^7 z^3 - 4 z^4 - 11 a^2 z^4 - 13 a^4 z^4 - 6 a^6 z^4 - 8 a z^5 - 
  20 a^3 z^5 - 12 a^5 z^5 + z^6 + a^4 z^6 + 2 a^6 z^6 + 2 a z^7 + 
  5 a^3 z^7 + 3 a^5 z^7 + a^2 z^8 + a^4 z^8, -7 - 1/a^4 - 4/a^2 - 
  4 a^2 - a^4 + 1/(a^3 z) + 4/(a z) + (4 a)/z + a^3/z - (4 z)/a^3 - (
  15 z)/a - 17 a z - 6 a^3 z + 14 z^2 + (3 z^2)/a^4 + (10 z^2)/a^2 + 
  12 a^2 z^2 + 5 a^4 z^2 + (9 z^3)/a^3 + (26 z^3)/a + 26 a z^3 + 
  9 a^3 z^3 - 3 z^4 - (4 z^4)/a^4 - (4 z^4)/a^2 - 8 a^2 z^4 - 
  5 a^4 z^4 - (9 z^5)/a^3 - (17 z^5)/a - 14 a z^5 - 6 a^3 z^5 - 
  4 z^6 + z^6/a^4 - (3 z^6)/a^2 + a^2 z^6 + a^4 z^6 + (2 z^7)/a^3 + (
  3 z^7)/a + 2 a z^7 + a^3 z^7 + z^8 + z^8/a^2, 
 a^2 + 2 a^4 + 3 a^6 + a^8 - a/z - a^3/z + a^5/z + (2 a^7)/z + a^9/
  z + 4 a z + 3 a^3 z - 9 a^5 z - 13 a^7 z - 5 a^9 z - a^2 z^2 - 
  6 a^4 z^2 - 7 a^6 z^2 - 2 a^8 z^2 - 4 a z^3 - 3 a^3 z^3 + 
  16 a^5 z^3 + 18 a^7 z^3 + 3 a^9 z^3 - 2 a^2 z^4 + 6 a^4 z^4 + 
  8 a^6 z^4 + a z^5 - a^3 z^5 - 10 a^5 z^5 - 8 a^7 z^5 + a^2 z^6 - 
  3 a^4 z^6 - 3 a^6 z^6 + a^8 z^6 + a^3 z^7 + 3 a^5 z^7 + 2 a^7 z^7 + 
  a^4 z^8 + a^6 z^8, 
 2 + 1/a^2 + 3 a^2 + a^4 - 1/(a^3 z) - 1/(a z) + a/z + (2 a^3)/z + 
  a^5/z + (3 z)/a^3 + (5 z)/a - 4 a z - 9 a^3 z - 3 a^5 z - 3 z^2 + 
  z^2/a^2 - 6 a^2 z^2 - 2 a^4 z^2 - (3 z^3)/a^3 - (6 z^3)/a + 
  3 a z^3 + 9 a^3 z^3 + 3 a^5 z^3 - 4 z^4 - (4 z^4)/a^2 + 2 a^2 z^4 + 
  2 a^4 z^4 + z^5/a^3 - z^5/a - 5 a z^5 - 3 a^3 z^5 + 2 z^6 + (2 z^6)/
  a^2 + a^2 z^6 + a^4 z^6 + (2 z^7)/a + 4 a z^7 + 2 a^3 z^7 + z^8 + 
  a^2 z^8, -1 + 1/(a z) + a/z - (2 z)/a^5 - (6 z)/a^3 - (6 z)/a - 
  2 a z - z^2 + (3 z^2)/a^6 + (5 z^2)/a^4 + z^2/a^2 - (2 z^3)/a^7 + (
  5 z^3)/a^5 + (15 z^3)/a^3 + (9 z^3)/a + a z^3 + 2 z^4 - (8 z^4)/
  a^6 - (7 z^4)/a^4 + (3 z^4)/a^2 + z^5/a^7 - (8 z^5)/a^5 - (12 z^5)/
  a^3 - (3 z^5)/a + (3 z^6)/a^6 + z^6/a^4 - (2 z^6)/a^2 + (3 z^7)/
  a^5 + (4 z^7)/a^3 + z^7/a + z^8/a^4 + z^8/a^2, 
 a^2 - 3 a^4 - 5 a^6 - 2 a^8 - a/z + (2 a^5)/z + a^7/z - a z - 
  6 a^3 z - 7 a^5 z - 2 a^7 z + z^2 + 3 a^2 z^2 + 11 a^4 z^2 + 
  14 a^6 z^2 + 5 a^8 z^2 + 4 a z^3 + 12 a^3 z^3 + 14 a^5 z^3 + 
  6 a^7 z^3 - 3 a^2 z^4 - 12 a^4 z^4 - 13 a^6 z^4 - 4 a^8 z^4 - 
  9 a^3 z^5 - 16 a^5 z^5 - 7 a^7 z^5 + 2 a^2 z^6 + 2 a^4 z^6 + 
  a^6 z^6 + a^8 z^6 + 3 a^3 z^7 + 5 a^5 z^7 + 2 a^7 z^7 + a^4 z^8 + 
  a^6 z^8, 1/a^10 - 5/a^6 - 5/a^4 + 2/(a^7 z) + 5/(a^5 z) + 3/(
  a^3 z) - (2 z)/a^9 - (11 z)/a^7 - (19 z)/a^5 - (10 z)/a^3 + (6 z^2)/
  a^8 + (13 z^2)/a^6 + (7 z^2)/a^4 + z^3/a^9 + (21 z^3)/a^7 + (
  32 z^3)/a^5 + (12 z^3)/a^3 - (8 z^4)/a^8 - (7 z^4)/a^6 + z^4/a^4 - (
  15 z^5)/a^7 - (21 z^5)/a^5 - (6 z^5)/a^3 + (2 z^6)/a^8 - (2 z^6)/
  a^6 - (4 z^6)/a^4 + (3 z^7)/a^7 + (4 z^7)/a^5 + z^7/a^3 + z^8/a^6 + 
  z^8/a^4, -1 + 1/(a z) + a/z - (4 z)/a^3 - (8 z)/a - 4 a z + z^2 + (
  3 z^2)/a^4 + (3 z^2)/a^2 + a^2 z^2 + (10 z^3)/a^3 + (18 z^3)/a + 
  8 a z^3 + 3 z^4 - (4 z^4)/a^4 - z^4/a^2 - (9 z^5)/a^3 - (14 z^5)/
  a - 5 a z^5 - 4 z^6 + z^6/a^4 - (3 z^6)/a^2 + (2 z^7)/a^3 + (3 z^7)/
  a + a z^7 + z^8 + z^8/a^2, -3 - 1/a^2 - 3 a^2 - 2 a^4 + 1/(a z) + (
  3 a)/z + (4 a^3)/z + (2 a^5)/z + (2 z)/a^3 - z/a - 13 a z - 
  18 a^3 z - 8 a^5 z + 9 z^2 + (5 z^2)/a^2 + 5 a^2 z^2 + a^4 z^2 - (
  4 z^3)/a^3 - z^3/a + 22 a z^3 + 30 a^3 z^3 + 11 a^5 z^3 - 7 z^4 - (
  5 z^4)/a^2 + 3 a^2 z^4 + 5 a^4 z^4 + z^5/a^3 - 13 a z^5 - 
  18 a^3 z^5 - 6 a^5 z^5 + z^6 + z^6/a^2 - 5 a^2 z^6 - 5 a^4 z^6 + 
  2 a z^7 + 3 a^3 z^7 + a^5 z^7 + a^2 z^8 + a^4 z^8, -a^4 + a^3/z + 
  a^5/z + z/a^3 + z/a - 3 a^3 z - 3 a^5 z + 5 z^2 + (4 z^2)/a^2 + 
  a^2 z^2 - (2 z^3)/a^3 - (2 z^3)/a + 3 a^3 z^3 + 3 a^5 z^3 - 
  13 z^4 - (7 z^4)/a^2 - 4 a^2 z^4 + 2 a^4 z^4 + z^5/a^3 - (4 z^5)/
  a - 6 a z^5 - a^3 z^5 + 5 z^6 + (3 z^6)/a^2 + 3 a^2 z^6 + 
  a^4 z^6 + (3 z^7)/a + 5 a z^7 + 2 a^3 z^7 + z^8 + a^2 z^8, -a^4 + 
  a^3/z + a^5/z + a z - a^3 z - 2 a^5 z - a^7 z - a^9 z + 2 a^2 z^2 + 
  3 a^4 z^2 - a^6 z^2 - 2 a^8 z^2 - 2 a z^3 + a^3 z^3 + 6 a^5 z^3 + 
  4 a^7 z^3 + a^9 z^3 - 7 a^2 z^4 - 7 a^4 z^4 + 3 a^6 z^4 + 
  3 a^8 z^4 + a z^5 - 6 a^3 z^5 - 8 a^5 z^5 - a^7 z^5 + 3 a^2 z^6 + 
  2 a^4 z^6 - a^6 z^6 + 3 a^3 z^7 + 4 a^5 z^7 + a^7 z^7 + a^4 z^8 + 
  a^6 z^8, a^2 + 2 a^4 + 3 a^6 + a^8 - a/z - a^3/z + a^5/z + (2 a^7)/
  z + a^9/z + 4 a z + 4 a^3 z - 8 a^5 z - 14 a^7 z - 6 a^9 z - 
  4 a^4 z^2 - 8 a^6 z^2 - 4 a^8 z^2 - 4 a z^3 - 7 a^3 z^3 + 
  13 a^5 z^3 + 26 a^7 z^3 + 10 a^9 z^3 - 3 a^2 z^4 + a^4 z^4 + 
  13 a^6 z^4 + 9 a^8 z^4 + a z^5 + 2 a^3 z^5 - 7 a^5 z^5 - 
  14 a^7 z^5 - 6 a^9 z^5 + a^2 z^6 - 7 a^6 z^6 - 6 a^8 z^6 + 
  a^5 z^7 + 2 a^7 z^7 + a^9 z^7 + a^6 z^8 + a^8 z^8, -3 - 1/a^2 - 
  3 a^2 - 2 a^4 + 1/(a z) + (3 a)/z + (4 a^3)/z + (2 a^5)/z + z/
  a^3 - (2 z)/a - 12 a z - 17 a^3 z - 8 a^5 z + 10 z^2 + (3 z^2)/
  a^2 + 11 a^2 z^2 + 4 a^4 z^2 - (2 z^3)/a^3 + (2 z^3)/a + 21 a z^3 + 
  23 a^3 z^3 + 6 a^5 z^3 - 14 z^4 - (6 z^4)/a^2 - 11 a^2 z^4 - 
  3 a^4 z^4 + z^5/a^3 - (7 z^5)/a - 21 a z^5 - 13 a^3 z^5 + 3 z^6 + (
  3 z^6)/a^2 + 3 a^2 z^6 + 3 a^4 z^6 + (4 z^7)/a + 9 a z^7 + 
  5 a^3 z^7 + 2 z^8 + 2 a^2 z^8, -1 - 4 a^2 - 7 a^4 - 4 a^6 - a^8 + a/
  z + (4 a^3)/z + (4 a^5)/z + a^7/z - 3 a z - 15 a^3 z - 16 a^5 z - 
  4 a^7 z + 3 z^2 + 14 a^2 z^2 + 21 a^4 z^2 + 13 a^6 z^2 + 
  3 a^8 z^2 + 9 a z^3 + 28 a^3 z^3 + 24 a^5 z^3 + 5 a^7 z^3 - 3 z^4 - 
  13 a^2 z^4 - 21 a^4 z^4 - 11 a^6 z^4 - 10 a z^5 - 29 a^3 z^5 - 
  18 a^5 z^5 + a^7 z^5 + z^6 - a^2 z^6 + 3 a^4 z^6 + 5 a^6 z^6 + 
  3 a z^7 + 9 a^3 z^7 + 6 a^5 z^7 + 2 a^2 z^8 + 2 a^4 z^8, 
 a^2 + 2 a^4 + 3 a^6 + a^8 - a/z - a^3/z + a^5/z + (2 a^7)/z + a^9/
  z + 3 a z + 2 a^3 z - 8 a^5 z - 12 a^7 z - 5 a^9 z - 3 a z^3 - 
  4 a^3 z^3 + 11 a^5 z^3 + 15 a^7 z^3 + 3 a^9 z^3 - 4 a^2 z^4 - 
  4 a^4 z^4 + a z^5 - 2 a^3 z^5 - 9 a^5 z^5 - 6 a^7 z^5 + 2 a^2 z^6 + 
  a^4 z^6 + a^8 z^6 + 2 a^3 z^7 + 4 a^5 z^7 + 2 a^7 z^7 + a^4 z^8 + 
  a^6 z^8, 2 + 1/a^2 + 3 a^2 + a^4 - 1/(a^3 z) - 1/(a z) + a/z + (
  2 a^3)/z + a^5/z + (3 z)/a^3 + (5 z)/a - 6 a z - 13 a^3 z - 
  5 a^5 z - 3 z^2 + (2 z^2)/a^2 - 11 a^2 z^2 - 6 a^4 z^2 - (4 z^3)/
  a^3 - (5 z^3)/a + 12 a z^3 + 23 a^3 z^3 + 10 a^5 z^3 - (4 z^4)/
  a^2 + 14 a^2 z^4 + 10 a^4 z^4 + z^5/a^3 + z^5/a - 7 a z^5 - 
  13 a^3 z^5 - 6 a^5 z^5 + z^6/a^2 - 7 a^2 z^6 - 6 a^4 z^6 + a z^7 + 
  2 a^3 z^7 + a^5 z^7 + a^2 z^8 + a^4 z^8, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z + 5 a z + 
  9 a^3 z + 4 a^5 z + z^2 - 6 a^4 z^2 - 5 a^6 z^2 - (4 z^3)/a - 
  6 a z^3 - 6 a^3 z^3 - 4 a^5 z^3 - 8 z^4 + z^4/a^2 - 11 a^2 z^4 + 
  a^4 z^4 + 3 a^6 z^4 + (4 z^5)/a - a z^5 - 4 a^3 z^5 + a^5 z^5 + 
  6 z^6 + 7 a^2 z^6 + a^4 z^6 + 4 a z^7 + 5 a^3 z^7 + a^5 z^7 + 
  a^2 z^8 + a^4 z^8, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) - (2 z)/
  a^7 + (7 z)/a^3 + (5 z)/a + (4 z^2)/a^8 - z^2/a^6 - (9 z^2)/a^4 - (
  4 z^2)/a^2 + (8 z^3)/a^7 + (5 z^3)/a^5 - (3 z^3)/a^3 - (4 z^4)/a^8 -
   z^4/a^6 + (6 z^4)/a^4 + (3 z^4)/a^2 - (8 z^5)/a^7 - (9 z^5)/a^5 - 
  z^5/a^3 + z^6/a^8 - (2 z^6)/a^6 - (3 z^6)/a^4 + (2 z^7)/a^7 + (
  3 z^7)/a^5 + z^7/a^3 + z^8/a^6 + z^8/a^4, -(2/a^10) - 9/a^8 - 14/
  a^6 - 8/a^4 + 1/(a^9 z) + 5/(a^7 z) + 8/(a^5 z) + 4/(a^3 z) + z/
  a^11 + z/a^9 - (9 z)/a^7 - (19 z)/a^5 - (10 z)/a^3 + (5 z^2)/
  a^10 + (24 z^2)/a^8 + (31 z^2)/a^6 + (12 z^2)/a^4 - (2 z^3)/a^11 - (
  4 z^3)/a^9 + (12 z^3)/a^7 + (20 z^3)/a^5 + (6 z^3)/a^3 - (7 z^4)/
  a^10 - (26 z^4)/a^8 - (25 z^4)/a^6 - (6 z^4)/a^4 + z^5/a^11 - (
  3 z^5)/a^9 - (14 z^5)/a^7 - (10 z^5)/a^5 + (3 z^6)/a^10 + (8 z^6)/
  a^8 + (8 z^6)/a^6 + (3 z^6)/a^4 + (3 z^7)/a^9 + (7 z^7)/a^7 + (
  4 z^7)/a^5 + z^8/a^8 + z^8/a^6, -13 - 2/a^4 - 8/a^2 - 8 a^2 - 
  2 a^4 + 2/(a^3 z) + 7/(a z) + (7 a)/z + (2 a^3)/z - (4 z)/a^3 - (
  14 z)/a - 14 a z - 4 a^3 z + 24 z^2 + (6 z^2)/a^4 + (18 z^2)/a^2 + 
  18 a^2 z^2 + 6 a^4 z^2 + (6 z^3)/a^3 + (14 z^3)/a + 14 a z^3 + 
  6 a^3 z^3 - 14 z^4 - (5 z^4)/a^4 - (12 z^4)/a^2 - 12 a^2 z^4 - 
  5 a^4 z^4 - (5 z^5)/a^3 - (7 z^5)/a - 7 a z^5 - 5 a^3 z^5 + 2 z^6 + 
  z^6/a^4 + (2 z^6)/a^2 + 2 a^2 z^6 + a^4 z^6 + z^7/a^3 + z^7/a + 
  a z^7 + a^3 z^7, -8 - 2/a^6 - 9/a^4 - 14/a^2 + 1/(a^5 z) + 5/(
  a^3 z) + 8/(a z) + (4 a)/z + z/a^7 + z/a^5 - (8 z)/a^3 - (21 z)/a - 
  13 a z + 15 z^2 + (5 z^2)/a^6 + (18 z^2)/a^4 + (28 z^2)/a^2 - (
  3 z^3)/a^7 - (2 z^3)/a^5 + (9 z^3)/a^3 + (23 z^3)/a + 15 a z^3 - 
  8 z^4 - (7 z^4)/a^6 - (13 z^4)/a^4 - (14 z^4)/a^2 + z^5/a^7 - (
  2 z^5)/a^5 - (5 z^5)/a^3 - (9 z^5)/a - 7 a z^5 + z^6 + (2 z^6)/
  a^6 + (3 z^6)/a^4 + (2 z^6)/a^2 + z^7/a^5 + z^7/a^3 + z^7/a + 
  a z^7, -2 - 8 a^2 - 13 a^4 - 8 a^6 - 2 a^8 + (2 a)/z + (7 a^3)/z + (
  7 a^5)/z + (2 a^7)/z - 3 a z - 16 a^3 z - 17 a^5 z - 4 a^7 z + 
  3 z^2 + 17 a^2 z^2 + 29 a^4 z^2 + 20 a^6 z^2 + 5 a^8 z^2 + 
  3 a z^3 + 18 a^3 z^3 + 22 a^5 z^3 + 7 a^7 z^3 - 11 a^2 z^4 - 
  24 a^4 z^4 - 17 a^6 z^4 - 4 a^8 z^4 + a z^5 - 12 a^3 z^5 - 
  20 a^5 z^5 - 7 a^7 z^5 + 4 a^2 z^6 + 5 a^4 z^6 + 2 a^6 z^6 + 
  a^8 z^6 + 4 a^3 z^7 + 6 a^5 z^7 + 2 a^7 z^7 + a^4 z^8 + 
  a^6 z^8, -(2/a^10) - 9/a^8 - 14/a^6 - 8/a^4 + 1/(a^9 z) + 5/(
  a^7 z) + 8/(a^5 z) + 4/(a^3 z) + z/a^11 + z/a^9 - (11 z)/a^7 - (
  23 z)/a^5 - (12 z)/a^3 + (3 z^2)/a^10 + (23 z^2)/a^8 + (33 z^2)/
  a^6 + (13 z^2)/a^4 - (4 z^3)/a^9 + (18 z^3)/a^7 + (35 z^3)/a^5 + (
  13 z^3)/a^3 - (20 z^4)/a^8 - (23 z^4)/a^6 - (3 z^4)/a^4 + (2 z^5)/
  a^9 - (16 z^5)/a^7 - (24 z^5)/a^5 - (6 z^5)/a^3 + (5 z^6)/a^8 + (
  2 z^6)/a^6 - (3 z^6)/a^4 + (4 z^7)/a^7 + (5 z^7)/a^5 + z^7/a^3 + 
  z^8/a^6 + z^8/a^4, -3 - 3 a^2 - a^4 + 2/(a z) + (3 a)/z + a^3/z - (
  5 z)/a^3 - (14 z)/a - 11 a z - 2 a^3 z + 7 z^2 + (3 z^2)/a^4 + (
  5 z^2)/a^2 + 6 a^2 z^2 + a^4 z^2 + (11 z^3)/a^3 + (25 z^3)/a + 
  16 a z^3 + 2 a^3 z^3 - 3 z^4 - (4 z^4)/a^4 - (4 z^4)/a^2 - 
  3 a^2 z^4 - (9 z^5)/a^3 - (18 z^5)/a - 9 a z^5 - 2 z^6 + z^6/a^4 - (
  2 z^6)/a^2 + a^2 z^6 + (2 z^7)/a^3 + (4 z^7)/a + 2 a z^7 + z^8 + 
  z^8/a^2, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/z + (3 a^5)/z + a^7/z - 
  2 a z - 9 a^3 z - 10 a^5 z - 3 a^7 z + z^2 + 2 a^2 z^2 + 
  6 a^4 z^2 + 9 a^6 z^2 + 4 a^8 z^2 + 3 a z^3 + 12 a^3 z^3 + 
  17 a^5 z^3 + 8 a^7 z^3 - a^2 z^4 - 4 a^4 z^4 - 7 a^6 z^4 - 
  4 a^8 z^4 - 7 a^3 z^5 - 15 a^5 z^5 - 8 a^7 z^5 + a^2 z^6 - a^4 z^6 -
   a^6 z^6 + a^8 z^6 + 2 a^3 z^7 + 4 a^5 z^7 + 2 a^7 z^7 + a^4 z^8 + 
  a^6 z^8, -(1/a^8) - 3/a^6 - 3/a^4 + 1/(a^7 z) + 3/(a^5 z) + 2/(
  a^3 z) - z/a^9 - (8 z)/a^7 - (15 z)/a^5 - (8 z)/a^3 + (5 z^2)/
  a^8 + (7 z^2)/a^6 + (2 z^2)/a^4 + (16 z^3)/a^7 + (27 z^3)/a^5 + (
  11 z^3)/a^3 - (5 z^4)/a^8 + (5 z^4)/a^4 - (11 z^5)/a^7 - (17 z^5)/
  a^5 - (6 z^5)/a^3 + z^6/a^8 - (4 z^6)/a^6 - (5 z^6)/a^4 + (2 z^7)/
  a^7 + (3 z^7)/a^5 + z^7/a^3 + z^8/a^6 + z^8/a^4, -3 - 1/a^4 - 3/
  a^2 + 1/(a^3 z) + 3/(a z) + (2 a)/z - (2 z)/a^5 - (7 z)/a^3 - (
  10 z)/a - 5 a z + 2 z^2 + (4 z^2)/a^6 + (9 z^2)/a^4 + (7 z^2)/
  a^2 - (2 z^3)/a^7 + (4 z^3)/a^5 + (15 z^3)/a^3 + (12 z^3)/a + 
  3 a z^3 - (8 z^4)/a^6 - (12 z^4)/a^4 - (4 z^4)/a^2 + z^5/a^7 - (
  7 z^5)/a^5 - (13 z^5)/a^3 - (5 z^5)/a + z^6 + (3 z^6)/a^6 + (3 z^6)/
  a^4 + z^6/a^2 + (3 z^7)/a^5 + (5 z^7)/a^3 + (2 z^7)/a + z^8/a^4 + 
  z^8/a^2, a^2 - a/z - a^3/z + 2 a z - 5 a^5 z - 3 a^7 z - a^2 z^2 - 
  3 a^4 z^2 + a^6 z^2 + 3 a^8 z^2 + 5 a^3 z^3 + 15 a^5 z^3 + 
  10 a^7 z^3 + a^2 z^4 + 5 a^4 z^4 - 4 a^8 z^4 - 4 a^3 z^5 - 
  13 a^5 z^5 - 9 a^7 z^5 - 4 a^4 z^6 - 3 a^6 z^6 + a^8 z^6 + 
  a^3 z^7 + 3 a^5 z^7 + 2 a^7 z^7 + a^4 z^8 + a^6 z^8, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z - (5 z)/a - 11 a z - 
  7 a^3 z - a^5 z - 5 z^2 - 6 a^2 z^2 - a^4 z^2 + (10 z^3)/a + 
  20 a z^3 + 10 a^3 z^3 + 10 z^4 + 10 a^2 z^4 - (6 z^5)/a - 
  12 a z^5 - 6 a^3 z^5 - 6 z^6 - 6 a^2 z^6 + z^7/a + 2 a z^7 + 
  a^3 z^7 + z^8 + a^2 z^8, 
 a^6 + a^3/z + (2 a^5)/z + (2 a^7)/z + a^9/z - 6 a^3 z - 10 a^5 z - 
  10 a^7 z - 6 a^9 z + 2 a^4 z^2 + 4 a^6 z^2 + 2 a^8 z^2 + 
  3 a^3 z^3 + 11 a^5 z^3 + 11 a^7 z^3 + 3 a^9 z^3 - 2 a^4 z^4 - 
  4 a^6 z^4 - 2 a^8 z^4 - 4 a^5 z^5 - 4 a^7 z^5 + a^4 z^6 + 
  2 a^6 z^6 + a^8 z^6 + a^5 z^7 + a^7 z^7, -1 - 3 a^2 - 3 a^4 + a/
  z + (3 a^3)/z + (2 a^5)/z - z/a - 3 a z - 12 a^3 z - 9 a^5 z + 
  a^7 z - 3 z^2 + 4 a^2 z^2 + 8 a^4 z^2 + a^6 z^2 + z^3/a + 5 a z^3 + 
  21 a^3 z^3 + 14 a^5 z^3 - 3 a^7 z^3 + 3 z^4 + 2 a^2 z^4 - 
  6 a^4 z^4 - 5 a^6 z^4 - 2 a z^5 - 14 a^3 z^5 - 11 a^5 z^5 + 
  a^7 z^5 - 2 a^2 z^6 + 2 a^6 z^6 + a z^7 + 4 a^3 z^7 + 3 a^5 z^7 + 
  a^2 z^8 + a^4 z^8, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z - (2 z)/a - 9 a z - 
  11 a^3 z - 3 a^5 z + a^7 z - 2 z^2 - 5 a^2 z^2 + 3 a^6 z^2 + z^3/
  a + 11 a z^3 + 18 a^3 z^3 + 5 a^5 z^3 - 3 a^7 z^3 + 2 z^4 + 
  9 a^2 z^4 + a^4 z^4 - 6 a^6 z^4 - 4 a z^5 - 11 a^3 z^5 - 6 a^5 z^5 +
   a^7 z^5 - 4 a^2 z^6 - 2 a^4 z^6 + 2 a^6 z^6 + a z^7 + 3 a^3 z^7 + 
  2 a^5 z^7 + a^2 z^8 + a^4 z^8, 
 a^6 + a^3/z + (2 a^5)/z + (2 a^7)/z + a^9/z - 7 a^3 z - 12 a^5 z - 
  10 a^7 z - 4 a^9 z + a^11 z - a^4 z^2 - a^6 z^2 + a^8 z^2 + 
  a^10 z^2 + 11 a^3 z^3 + 24 a^5 z^3 + 15 a^7 z^3 + 2 a^9 z^3 + 
  6 a^4 z^4 + 3 a^6 z^4 - 3 a^8 z^4 - 6 a^3 z^5 - 16 a^5 z^5 - 
  10 a^7 z^5 - 5 a^4 z^6 - 4 a^6 z^6 + a^8 z^6 + a^3 z^7 + 
  3 a^5 z^7 + 2 a^7 z^7 + a^4 z^8 + a^6 z^8, 
 a^2 - a/z - a^3/z - a z - 5 a^3 z - 6 a^5 z - 2 a^7 z + z^2 - 
  2 a^4 z^2 + a^8 z^2 + 11 a z^3 + 23 a^3 z^3 + 15 a^5 z^3 + 
  3 a^7 z^3 - 3 z^4 + 2 a^2 z^4 + 5 a^4 z^4 - 12 a z^5 - 23 a^3 z^5 - 
  11 a^5 z^5 + z^6 - 6 a^2 z^6 - 6 a^4 z^6 + a^6 z^6 + 3 a z^7 + 
  6 a^3 z^7 + 3 a^5 z^7 + 2 a^2 z^8 + 2 a^4 z^8, 
 a^6 + a^3/z + (2 a^5)/z + (2 a^7)/z + a^9/z - 5 a^3 z - 9 a^5 z - 
  9 a^7 z - 3 a^9 z + 2 a^11 z - 2 a^6 z^2 + 2 a^10 z^2 + 3 a^3 z^3 + 
  13 a^5 z^3 + 15 a^7 z^3 + 2 a^9 z^3 - 3 a^11 z^3 + 3 a^6 z^4 - 
  2 a^8 z^4 - 5 a^10 z^4 - 6 a^5 z^5 - 11 a^7 z^5 - 4 a^9 z^5 + 
  a^11 z^5 + a^4 z^6 - a^6 z^6 + 2 a^10 z^6 + 2 a^5 z^7 + 4 a^7 z^7 + 
  2 a^9 z^7 + a^6 z^8 + a^8 z^8, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z - (4 z)/a - 12 a z - 
  12 a^3 z - 4 a^5 z - 3 z^2 - 4 a^2 z^2 + a^4 z^2 + 2 a^6 z^2 + (
  3 z^3)/a + 18 a z^3 + 26 a^3 z^3 + 9 a^5 z^3 - 2 a^7 z^3 + 2 z^4 + 
  7 a^2 z^4 - 2 a^4 z^4 - 7 a^6 z^4 - 9 a z^5 - 21 a^3 z^5 - 
  11 a^5 z^5 + a^7 z^5 + z^6 - 4 a^2 z^6 - 2 a^4 z^6 + 3 a^6 z^6 + 
  3 a z^7 + 7 a^3 z^7 + 4 a^5 z^7 + 2 a^2 z^8 + 2 a^4 z^8, 
 a^6 - a^5/z - a^7/z + a z + 3 a^5 z + a^7 z - 3 a^9 z + 3 a^2 z^2 + 
  4 a^4 z^2 - a^6 z^2 - 2 a^8 z^2 - 2 a z^3 + 2 a^5 z^3 + 3 a^7 z^3 + 
  3 a^9 z^3 - 7 a^2 z^4 - 11 a^4 z^4 - 2 a^6 z^4 + 2 a^8 z^4 + 
  a z^5 - 5 a^3 z^5 - 8 a^5 z^5 - 2 a^7 z^5 + 3 a^2 z^6 + 4 a^4 z^6 + 
  2 a^6 z^6 + a^8 z^6 + 3 a^3 z^7 + 5 a^5 z^7 + 2 a^7 z^7 + a^4 z^8 + 
  a^6 z^8, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) - (3 z)/a^7 - (10 z)/
  a^5 - (7 z)/a^3 + (2 z^2)/a^8 + z^2/a^6 - z^2/a^4 + (12 z^3)/a^7 + (
  23 z^3)/a^5 + (11 z^3)/a^3 - (4 z^4)/a^8 + (2 z^4)/a^6 + (6 z^4)/
  a^4 - (10 z^5)/a^7 - (16 z^5)/a^5 - (6 z^5)/a^3 + z^6/a^8 - (4 z^6)/
  a^6 - (5 z^6)/a^4 + (2 z^7)/a^7 + (3 z^7)/a^5 + z^7/a^3 + z^8/a^6 + 
  z^8/a^4, -a^8 + a^7/z + a^9/z - 3 a^3 z - a^5 z - 7 a^7 z - 
  7 a^9 z + 2 a^11 z - 2 a^4 z^2 + 3 a^6 z^2 + 6 a^8 z^2 + a^10 z^2 + 
  3 a^3 z^3 + 3 a^5 z^3 + 12 a^7 z^3 + 9 a^9 z^3 - 3 a^11 z^3 + 
  2 a^4 z^4 - 4 a^6 z^4 - 10 a^8 z^4 - 4 a^10 z^4 - 2 a^5 z^5 - 
  11 a^7 z^5 - 8 a^9 z^5 + a^11 z^5 + a^4 z^6 + 2 a^6 z^6 + 
  3 a^8 z^6 + 2 a^10 z^6 + 2 a^5 z^7 + 5 a^7 z^7 + 3 a^9 z^7 + 
  a^6 z^8 + a^8 z^8, -1 + 1/(a z) + a/z - (6 z)/a - 10 a z - 
  2 a^3 z + 2 a^5 z - 3 z^2 - a^2 z^2 - a^4 z^2 - 3 a^6 z^2 + (
  10 z^3)/a + 22 a z^3 + 8 a^3 z^3 - 4 a^5 z^3 + 9 z^4 + 8 a^2 z^4 + 
  a^6 z^4 - (6 z^5)/a - 13 a z^5 - 6 a^3 z^5 + a^5 z^5 - 6 z^6 - 
  6 a^2 z^6 + z^7/a + 2 a z^7 + a^3 z^7 + z^8 + a^2 z^8, -1 + 1/(
  a z) + a/z + (2 z)/a^3 - (2 z)/a - 10 a z - 6 a^3 z + 7 z^2 + (
  5 z^2)/a^2 + 7 a^2 z^2 + 5 a^4 z^2 - (4 z^3)/a^3 + 14 a z^3 + 
  10 a^3 z^3 - 6 z^4 - (5 z^4)/a^2 - 6 a^2 z^4 - 5 a^4 z^4 + z^5/
  a^3 - 7 a z^5 - 6 a^3 z^5 + z^6 + z^6/a^2 + a^2 z^6 + a^4 z^6 + 
  a z^7 + a^3 z^7, -(2/a^10) - 9/a^8 - 14/a^6 - 8/a^4 + 1/(a^9 z) + 
  5/(a^7 z) + 8/(a^5 z) + 4/(a^3 z) + z/a^11 + z/a^9 - (9 z)/a^7 - (
  19 z)/a^5 - (10 z)/a^3 + (5 z^2)/a^10 + (24 z^2)/a^8 + (31 z^2)/
  a^6 + (12 z^2)/a^4 - (2 z^3)/a^11 - (4 z^3)/a^9 + (12 z^3)/a^7 + (
  20 z^3)/a^5 + (6 z^3)/a^3 - (7 z^4)/a^10 - (26 z^4)/a^8 - (25 z^4)/
  a^6 - (6 z^4)/a^4 + z^5/a^11 - (3 z^5)/a^9 - (14 z^5)/a^7 - (
  10 z^5)/a^5 + (3 z^6)/a^10 + (8 z^6)/a^8 + (8 z^6)/a^6 + (3 z^6)/
  a^4 + (3 z^7)/a^9 + (7 z^7)/a^7 + (4 z^7)/a^5 + z^8/a^8 + z^8/
  a^6, -13 - 2/a^4 - 8/a^2 - 8 a^2 - 2 a^4 + 2/(a^3 z) + 7/(a z) + (
  7 a)/z + (2 a^3)/z - (4 z)/a^3 - (14 z)/a - 14 a z - 4 a^3 z + 
  24 z^2 + (6 z^2)/a^4 + (18 z^2)/a^2 + 18 a^2 z^2 + 6 a^4 z^2 + (
  6 z^3)/a^3 + (14 z^3)/a + 14 a z^3 + 6 a^3 z^3 - 14 z^4 - (5 z^4)/
  a^4 - (12 z^4)/a^2 - 12 a^2 z^4 - 5 a^4 z^4 - (5 z^5)/a^3 - (7 z^5)/
  a - 7 a z^5 - 5 a^3 z^5 + 2 z^6 + z^6/a^4 + (2 z^6)/a^2 + 
  2 a^2 z^6 + a^4 z^6 + z^7/a^3 + z^7/a + a z^7 + a^3 z^7, -8 - 2/
  a^6 - 9/a^4 - 14/a^2 + 1/(a^5 z) + 5/(a^3 z) + 8/(a z) + (4 a)/z + 
  z/a^7 + z/a^5 - (8 z)/a^3 - (21 z)/a - 13 a z + 15 z^2 + (5 z^2)/
  a^6 + (18 z^2)/a^4 + (28 z^2)/a^2 - (3 z^3)/a^7 - (2 z^3)/a^5 + (
  9 z^3)/a^3 + (23 z^3)/a + 15 a z^3 - 8 z^4 - (7 z^4)/a^6 - (13 z^4)/
  a^4 - (14 z^4)/a^2 + z^5/a^7 - (2 z^5)/a^5 - (5 z^5)/a^3 - (9 z^5)/
  a - 7 a z^5 + z^6 + (2 z^6)/a^6 + (3 z^6)/a^4 + (2 z^6)/a^2 + z^7/
  a^5 + z^7/a^3 + z^7/a + a z^7, -2 - 8 a^2 - 13 a^4 - 8 a^6 - 
  2 a^8 + (2 a)/z + (7 a^3)/z + (7 a^5)/z + (2 a^7)/z - 3 a z - 
  16 a^3 z - 17 a^5 z - 4 a^7 z + 3 z^2 + 17 a^2 z^2 + 29 a^4 z^2 + 
  20 a^6 z^2 + 5 a^8 z^2 + 3 a z^3 + 18 a^3 z^3 + 22 a^5 z^3 + 
  7 a^7 z^3 - 11 a^2 z^4 - 24 a^4 z^4 - 17 a^6 z^4 - 4 a^8 z^4 + 
  a z^5 - 12 a^3 z^5 - 20 a^5 z^5 - 7 a^7 z^5 + 4 a^2 z^6 + 
  5 a^4 z^6 + 2 a^6 z^6 + a^8 z^6 + 4 a^3 z^7 + 6 a^5 z^7 + 
  2 a^7 z^7 + a^4 z^8 + a^6 z^8, -(2/a^10) - 9/a^8 - 14/a^6 - 8/a^4 + 
  1/(a^9 z) + 5/(a^7 z) + 8/(a^5 z) + 4/(a^3 z) + z/a^11 + z/a^9 - (
  11 z)/a^7 - (23 z)/a^5 - (12 z)/a^3 + (3 z^2)/a^10 + (23 z^2)/
  a^8 + (33 z^2)/a^6 + (13 z^2)/a^4 - (4 z^3)/a^9 + (18 z^3)/a^7 + (
  35 z^3)/a^5 + (13 z^3)/a^3 - (20 z^4)/a^8 - (23 z^4)/a^6 - (3 z^4)/
  a^4 + (2 z^5)/a^9 - (16 z^5)/a^7 - (24 z^5)/a^5 - (6 z^5)/a^3 + (
  5 z^6)/a^8 + (2 z^6)/a^6 - (3 z^6)/a^4 + (4 z^7)/a^7 + (5 z^7)/a^5 +
   z^7/a^3 + z^8/a^6 + z^8/a^4, -a^4 + a^3/z + a^5/z - z/a - 4 a z - 
  9 a^3 z - 6 a^5 z + 5 z^2 + (2 z^2)/a^2 + 3 a^2 z^2 - z^3/a^3 + (
  5 z^3)/a + 18 a z^3 + 18 a^3 z^3 + 6 a^5 z^3 - 13 z^4 - (7 z^4)/
  a^2 - 6 a^2 z^4 + z^5/a^3 - (12 z^5)/a - 26 a z^5 - 13 a^3 z^5 + 
  2 z^6 + (4 z^6)/a^2 + a^2 z^6 + 3 a^4 z^6 + (6 z^7)/a + 12 a z^7 + 
  6 a^3 z^7 + 3 z^8 + 3 a^2 z^8, -a^4 + a^3/z + a^5/z - a z - 
  8 a^3 z - 9 a^5 z - 2 a^7 z + z^2 + 2 a^2 z^2 + 2 a^4 z^2 + 
  3 a^6 z^2 + 2 a^8 z^2 + 4 a z^3 + 17 a^3 z^3 + 23 a^5 z^3 + 
  10 a^7 z^3 - 2 a^2 z^4 - 2 a^4 z^4 - 3 a^6 z^4 - 3 a^8 z^4 - 
  13 a^3 z^5 - 24 a^5 z^5 - 11 a^7 z^5 + 2 a^2 z^6 - 3 a^4 z^6 - 
  4 a^6 z^6 + a^8 z^6 + 4 a^3 z^7 + 7 a^5 z^7 + 3 a^7 z^7 + 
  2 a^4 z^8 + 2 a^6 z^8, -14 - 4/a^2 - 21 a^2 - 14 a^4 - 4 a^6 + 3/
  z^2 + 1/(a^2 z^2) + (4 a^2)/z^2 + (3 a^4)/z^2 + a^6/z^2 - 1/(a z) - 
  a/z - a^3/z - a^5/z + z/a + a z + a^3 z + a^5 z + 28 z^2 + (6 z^2)/
  a^2 + 40 a^2 z^2 + 24 a^4 z^2 + 6 a^6 z^2 + (4 z^3)/a + 8 a z^3 + 
  4 a^3 z^3 - 23 z^4 - (4 z^4)/a^2 - 37 a^2 z^4 - 18 a^4 z^4 - (
  6 z^5)/a - 18 a z^5 - 9 a^3 z^5 + 3 a^5 z^5 + 4 z^6 + z^6/a^2 + 
  10 a^2 z^6 + 7 a^4 z^6 + (2 z^7)/a + 7 a z^7 + 5 a^3 z^7 + z^8 + 
  a^2 z^8, -14 - 4/a^2 - 21 a^2 - 14 a^4 - 4 a^6 + 3/z^2 + 1/(
  a^2 z^2) + (4 a^2)/z^2 + (3 a^4)/z^2 + a^6/z^2 - 1/(a z) - a/z - 
  a^3/z - a^5/z + z/a + a z + a^3 z + a^5 z + 25 z^2 + (6 z^2)/a^2 + 
  35 a^2 z^2 + 23 a^4 z^2 + 7 a^6 z^2 + (4 z^3)/a + 6 a z^3 + 
  4 a^3 z^3 + 2 a^5 z^3 - 14 z^4 - (5 z^4)/a^2 - 20 a^2 z^4 - 
  16 a^4 z^4 - 5 a^6 z^4 - (5 z^5)/a - 6 a z^5 - 5 a^3 z^5 - 
  4 a^5 z^5 + 2 z^6 + z^6/a^2 + 3 a^2 z^6 + 3 a^4 z^6 + a^6 z^6 + z^7/
  a + a z^7 + a^3 z^7 + a^5 z^7, -14 - 4/a^2 - 21 a^2 - 14 a^4 - 
  4 a^6 + 3/z^2 + 1/(a^2 z^2) + (4 a^2)/z^2 + (3 a^4)/z^2 + a^6/z^2 - 
  1/(a z) - a/z - a^3/z - a^5/z + z/a + a z + a^3 z + a^5 z + 
  23 z^2 + (3 z^2)/a^2 + 39 a^2 z^2 + 25 a^4 z^2 + 6 a^6 z^2 + z^3/
  a + 9 a z^3 + 11 a^3 z^3 + 3 a^5 z^3 - 13 z^4 - 30 a^2 z^4 - 
  21 a^4 z^4 - 4 a^6 z^4 + z^5/a - 11 a z^5 - 18 a^3 z^5 - 
  6 a^5 z^5 + 4 z^6 + 6 a^2 z^6 + 3 a^4 z^6 + a^6 z^6 + 4 a z^7 + 
  6 a^3 z^7 + 2 a^5 z^7 + a^2 z^8 + a^4 z^8, -4 a^6 - 6 a^8 - 3 a^10 -
   a^12 - a^14 + a^6/z^2 + (2 a^8)/z^2 + a^10/z^2 - (2 a^7)/z - (
  2 a^9)/z + 4 a^7 z - 6 a^11 z - 2 a^13 z + 7 a^6 z^2 + 6 a^8 z^2 + 
  3 a^10 z^2 + 5 a^12 z^2 + a^14 z^2 - a^7 z^3 + 11 a^9 z^3 + 
  14 a^11 z^3 + 2 a^13 z^3 - 5 a^6 z^4 - a^8 z^4 + a^10 z^4 - 
  3 a^12 z^4 - 3 a^7 z^5 - 12 a^9 z^5 - 9 a^11 z^5 + a^6 z^6 - 
  3 a^8 z^6 - 3 a^10 z^6 + a^12 z^6 + a^7 z^7 + 3 a^9 z^7 + 
  2 a^11 z^7 + a^8 z^8 + a^10 z^8, -4 a^2 - 6 a^4 - 3 a^6 - a^8 - 
  a^10 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z + 
  4 a^3 z - 6 a^7 z - 2 a^9 z + 3 a^2 z^2 + 9 a^4 z^2 + 8 a^6 z^2 + 
  6 a^8 z^2 + 4 a^10 z^2 - a^3 z^3 + 5 a^5 z^3 + 14 a^7 z^3 + 
  8 a^9 z^3 - 5 a^4 z^4 - 7 a^6 z^4 - 6 a^8 z^4 - 4 a^10 z^4 + 
  a^3 z^5 - 5 a^5 z^5 - 14 a^7 z^5 - 8 a^9 z^5 + 2 a^4 z^6 - a^8 z^6 +
   a^10 z^6 + 2 a^5 z^7 + 4 a^7 z^7 + 2 a^9 z^7 + a^6 z^8 + 
  a^8 z^8, -2 a^2 - 2 a^4 - a^6 - a^8 - a^10 + a^2/z^2 + (2 a^4)/z^2 +
   a^6/z^2 - (2 a^3)/z - (2 a^5)/z + 2 a^3 z - 2 a^5 z - 6 a^7 z - 
  2 a^9 z + a^2 z^2 - a^4 z^2 + a^6 z^2 + 6 a^8 z^2 + 3 a^10 z^2 + 
  8 a^5 z^3 + 17 a^7 z^3 + 9 a^9 z^3 + a^4 z^4 + 3 a^6 z^4 - 
  2 a^8 z^4 - 4 a^10 z^4 - 5 a^5 z^5 - 14 a^7 z^5 - 9 a^9 z^5 - 
  4 a^6 z^6 - 3 a^8 z^6 + a^10 z^6 + a^5 z^7 + 3 a^7 z^7 + 2 a^9 z^7 +
   a^6 z^8 + a^8 z^8, -6 - 4/a^2 - 3 a^2 - a^4 - a^6 + 2/z^2 + 1/(
  a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (4 z)/a - 6 a^3 z - 
  2 a^5 z + 17 z^2 + (6 z^2)/a^2 + 14 a^2 z^2 + 6 a^4 z^2 + 
  3 a^6 z^2 + (2 z^3)/a + 6 a z^3 + 7 a^3 z^3 + 3 a^5 z^3 - 16 z^4 - (
  4 z^4)/a^2 - 17 a^2 z^4 - 5 a^4 z^4 - (6 z^5)/a - 13 a z^5 - 
  6 a^3 z^5 + a^5 z^5 + 2 z^6 + z^6/a^2 + 4 a^2 z^6 + 3 a^4 z^6 + (
  2 z^7)/a + 5 a z^7 + 3 a^3 z^7 + z^8 + a^2 z^8, -1 - 4/a^6 - 6/
  a^4 - 3/a^2 - a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(a^2 z^2) - 2/(
  a^5 z) - 2/(a^3 z) + (4 z)/a^5 - (6 z)/a - 2 a z + 5 z^2 + (9 z^2)/
  a^6 + (6 z^2)/a^4 - z^2/a^2 + 3 a^2 z^2 - (2 z^3)/a^5 + (8 z^3)/
  a^3 + (19 z^3)/a + 9 a z^3 - 2 z^4 - (6 z^4)/a^6 - (2 z^4)/a^4 + (
  6 z^4)/a^2 - 4 a^2 z^4 - (6 z^5)/a^3 - (15 z^5)/a - 9 a z^5 - 
  3 z^6 + z^6/a^6 - (5 z^6)/a^2 + a^2 z^6 + z^7/a^3 + (3 z^7)/a + 
  2 a z^7 + z^8 + z^8/a^2, -3 - 2/a^2 - 2 a^2 + 2/z^2 + 1/(a^2 z^2) + 
  a^2/z^2 - 2/(a z) - (2 a)/z + (2 z)/a + 2 a z - 2 z^2 + (4 z^2)/
  a^4 + (5 z^2)/a^2 - 3 a^2 z^2 - (2 z^3)/a^5 + (3 z^3)/a^3 + (5 z^3)/
  a + a z^3 + a^3 z^3 + 4 z^4 - (8 z^4)/a^4 - (8 z^4)/a^2 + 
  4 a^2 z^4 + z^5/a^5 - (7 z^5)/a^3 - (8 z^5)/a - z^6 + (3 z^6)/
  a^4 + (2 z^6)/a^2 + (3 z^7)/a^3 + (4 z^7)/a + a z^7 + z^8 + z^8/
  a^2, -2 a^6 + 3 a^8 + 9 a^10 + 3 a^12 - 2 a^14 - a^8/z^2 - (2 a^10)/
  z^2 - a^12/z^2 + (2 a^9)/z + (2 a^11)/z + a^7 z - 8 a^9 z - 
  8 a^11 z + a^13 z + 6 a^6 z^2 - 5 a^8 z^2 - 15 a^10 z^2 - 
  3 a^12 z^2 + a^14 z^2 + 2 a^7 z^3 + 14 a^9 z^3 + 12 a^11 z^3 - 
  5 a^6 z^4 + 7 a^8 z^4 + 13 a^10 z^4 + a^12 z^4 - 4 a^7 z^5 - 
  10 a^9 z^5 - 6 a^11 z^5 + a^6 z^6 - 5 a^8 z^6 - 6 a^10 z^6 + 
  a^7 z^7 + 2 a^9 z^7 + a^11 z^7 + a^8 z^8 + a^10 z^8, -2 a^2 + 
  3 a^4 + 9 a^6 + 3 a^8 - 2 a^10 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (
  2 a^5)/z + (2 a^7)/z + a^3 z - 8 a^5 z - 8 a^7 z + a^9 z + 
  3 a^2 z^2 - 14 a^6 z^2 - 4 a^8 z^2 + 7 a^10 z^2 + a^3 z^3 + 
  9 a^5 z^3 + 9 a^7 z^3 + a^9 z^3 - 2 a^4 z^4 + 6 a^6 z^4 + 
  3 a^8 z^4 - 5 a^10 z^4 + a^3 z^5 - 5 a^5 z^5 - 9 a^7 z^5 - 
  3 a^9 z^5 + 2 a^4 z^6 - 2 a^6 z^6 - 3 a^8 z^6 + a^10 z^6 + 
  2 a^5 z^7 + 3 a^7 z^7 + a^9 z^7 + a^6 z^8 + a^8 z^8, -2 a^2 + a^4 + 
  5 a^6 + a^8 - 2 a^10 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/
  z + (2 a^7)/z + a^3 z - 6 a^5 z - 6 a^7 z + a^9 z + 3 a^2 z^2 + 
  2 a^4 z^2 + 6 a^8 z^2 + 5 a^10 z^2 + a^3 z^3 + 4 a^5 z^3 + 
  8 a^7 z^3 + 5 a^9 z^3 - 2 a^4 z^4 - 6 a^6 z^4 - 8 a^8 z^4 - 
  4 a^10 z^4 + a^3 z^5 - 3 a^5 z^5 - 11 a^7 z^5 - 7 a^9 z^5 + 
  2 a^4 z^6 + a^6 z^6 + a^10 z^6 + 2 a^5 z^7 + 4 a^7 z^7 + 2 a^9 z^7 +
   a^6 z^8 + a^8 z^8, 
 8 a^8 + 13 a^10 + 5 a^12 + a^16 - a^8/z^2 - (2 a^10)/z^2 - a^12/
  z^2 + (2 a^9)/z + (2 a^11)/z - 11 a^9 z - 11 a^11 z - 21 a^8 z^2 - 
  26 a^10 z^2 - 5 a^12 z^2 + 15 a^9 z^3 + 15 a^11 z^3 + 21 a^8 z^4 + 
  22 a^10 z^4 + a^12 z^4 - 7 a^9 z^5 - 7 a^11 z^5 - 8 a^8 z^6 - 
  8 a^10 z^6 + a^9 z^7 + a^11 z^7 + a^8 z^8 + a^10 z^8, 
 8 a^4 + 13 a^6 + 5 a^8 + a^12 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (
  2 a^5)/z + (2 a^7)/z - 11 a^5 z - 11 a^7 z - 11 a^4 z^2 - 
  23 a^6 z^2 - 8 a^8 z^2 + a^10 z^2 - 3 a^12 z^2 + 11 a^5 z^3 + 
  17 a^7 z^3 + 4 a^9 z^3 - 2 a^11 z^3 + 3 a^4 z^4 + 17 a^6 z^4 + 
  11 a^8 z^4 - 2 a^10 z^4 + a^12 z^4 - 5 a^5 z^5 - 9 a^7 z^5 - 
  3 a^9 z^5 + a^11 z^5 - 6 a^6 z^6 - 5 a^8 z^6 + a^10 z^6 + a^5 z^7 + 
  2 a^7 z^7 + a^9 z^7 + a^6 z^8 + a^8 z^8, 
 6 a^4 + 9 a^6 + 3 a^8 + a^12 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (
  2 a^5)/z + (2 a^7)/z - 9 a^5 z - 9 a^7 z - 9 a^4 z^2 - 12 a^6 z^2 - 
  3 a^8 z^2 - 2 a^10 z^2 - 2 a^12 z^2 + 7 a^5 z^3 + 13 a^7 z^3 + 
  3 a^9 z^3 - 3 a^11 z^3 + 3 a^4 z^4 + 8 a^6 z^4 + 3 a^8 z^4 - 
  a^10 z^4 + a^12 z^4 - 3 a^5 z^5 - 8 a^7 z^5 - 3 a^9 z^5 + 
  2 a^11 z^5 - 3 a^6 z^6 - a^8 z^6 + 2 a^10 z^6 + a^5 z^7 + 
  3 a^7 z^7 + 2 a^9 z^7 + a^6 z^8 + a^8 z^8, -a^2 - 2 a^6 - 7 a^8 - 
  5 a^10 + a^6/z^2 + (2 a^8)/z^2 + a^10/z^2 - (2 a^7)/z - (2 a^9)/z - 
  2 a^3 z - 6 a^5 z + 2 a^7 z + 6 a^9 z + 3 a^2 z^2 + 4 a^4 z^2 + 
  3 a^6 z^2 + 10 a^8 z^2 + 8 a^10 z^2 + 3 a^3 z^3 + 11 a^5 z^3 + 
  5 a^7 z^3 - 3 a^9 z^3 - 5 a^4 z^4 - 6 a^6 z^4 - 6 a^8 z^4 - 
  5 a^10 z^4 + a^3 z^5 - 8 a^5 z^5 - 11 a^7 z^5 - 2 a^9 z^5 + 
  3 a^4 z^6 + a^6 z^6 - a^8 z^6 + a^10 z^6 + 3 a^5 z^7 + 4 a^7 z^7 + 
  a^9 z^7 + a^6 z^8 + a^8 z^8, 
 8 a^4 + 13 a^6 + 5 a^8 + a^12 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (
  2 a^5)/z + (2 a^7)/z - 11 a^5 z - 11 a^7 z - 9 a^4 z^2 - 
  20 a^6 z^2 - 7 a^8 z^2 + 2 a^10 z^2 - 2 a^12 z^2 + 9 a^5 z^3 + 
  9 a^7 z^3 - 2 a^9 z^3 - 2 a^11 z^3 + 3 a^4 z^4 + 12 a^6 z^4 + 
  4 a^8 z^4 - 4 a^10 z^4 + a^12 z^4 - 3 a^5 z^5 - 5 a^7 z^5 + 
  2 a^11 z^5 - 3 a^6 z^6 + 3 a^10 z^6 + a^5 z^7 + 3 a^7 z^7 + 
  2 a^9 z^7 + a^6 z^8 + a^8 z^8, 
 1 + 5 a^4 + 13 a^6 + 8 a^8 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (
  2 a^5)/z + (2 a^7)/z - 11 a^5 z - 11 a^7 z - 2 z^2 - 3 a^2 z^2 - 
  6 a^4 z^2 - 27 a^6 z^2 - 22 a^8 z^2 - 4 a z^3 - 2 a^3 z^3 + 
  19 a^5 z^3 + 17 a^7 z^3 + z^4 + 3 a^4 z^4 + 25 a^6 z^4 + 
  21 a^8 z^4 + 2 a z^5 + 2 a^3 z^5 - 8 a^5 z^5 - 8 a^7 z^5 + 
  a^2 z^6 - 9 a^6 z^6 - 8 a^8 z^6 + a^5 z^7 + a^7 z^7 + a^6 z^8 + 
  a^8 z^8, -4 a^2 - 8 a^4 - 7 a^6 - 3 a^8 - a^10 + a^2/z^2 + (2 a^4)/
  z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z + 3 a^3 z + a^5 z - 3 a^7 z - 
  a^9 z + 6 a^2 z^2 + 18 a^4 z^2 + 20 a^6 z^2 + 9 a^8 z^2 + 
  a^10 z^2 + 2 a^3 z^3 + 9 a^5 z^3 + 10 a^7 z^3 + 3 a^9 z^3 - 
  4 a^2 z^4 - 17 a^4 z^4 - 18 a^6 z^4 - 5 a^8 z^4 - 6 a^3 z^5 - 
  15 a^5 z^5 - 9 a^7 z^5 + a^2 z^6 + 2 a^4 z^6 + 3 a^6 z^6 + 
  2 a^8 z^6 + 2 a^3 z^7 + 5 a^5 z^7 + 3 a^7 z^7 + a^4 z^8 + 
  a^6 z^8, -3 a^6 + 2 a^8 + 10 a^10 + 4 a^12 - 2 a^14 - a^8/z^2 - (
  2 a^10)/z^2 - a^12/z^2 + (2 a^9)/z + (2 a^11)/z + a^7 z - 
  10 a^9 z - 10 a^11 z + a^13 z + 9 a^6 z^2 + a^8 z^2 - 20 a^10 z^2 - 
  6 a^12 z^2 + 6 a^14 z^2 - a^7 z^3 + 14 a^9 z^3 + 17 a^11 z^3 + 
  2 a^13 z^3 - 6 a^6 z^4 - a^8 z^4 + 17 a^10 z^4 + 7 a^12 z^4 - 
  5 a^14 z^4 - 7 a^9 z^5 - 11 a^11 z^5 - 4 a^13 z^5 + a^6 z^6 - 
  7 a^10 z^6 - 5 a^12 z^6 + a^14 z^6 + a^9 z^7 + 2 a^11 z^7 + 
  a^13 z^7 + a^10 z^8 + a^12 z^8, 
 2 - 1/a^2 + 6 a^2 + 4 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - 5 a z - 5 a^3 z + 3 z^2 - z^2/a^4 + (3 z^2)/a^2 - 
  8 a^2 z^2 - 7 a^4 z^2 - (4 z^3)/a^3 + z^3/a + 7 a z^3 + 2 a^3 z^3 - 
  6 z^4 + z^4/a^4 - (6 z^4)/a^2 + 4 a^2 z^4 + 3 a^4 z^4 + (3 z^5)/
  a^3 - (3 z^5)/a - 7 a z^5 - a^3 z^5 + 3 z^6 + (4 z^6)/a^2 - 
  a^2 z^6 + (3 z^7)/a + 4 a z^7 + a^3 z^7 + z^8 + a^2 z^8, -a^2 + 
  2 a^4 + 6 a^6 + 4 a^8 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/
  z + (2 a^7)/z - 5 a^5 z - 5 a^7 z + 4 a^2 z^2 + a^4 z^2 - 
  10 a^6 z^2 - 6 a^8 z^2 + a^10 z^2 + 7 a^3 z^3 + 9 a^5 z^3 + 
  4 a^7 z^3 + 2 a^9 z^3 - 4 a^2 z^4 - 2 a^4 z^4 + 6 a^6 z^4 + 
  4 a^8 z^4 - 8 a^3 z^5 - 10 a^5 z^5 - 2 a^7 z^5 + a^2 z^6 - 
  2 a^4 z^6 - 3 a^6 z^6 + 2 a^3 z^7 + 3 a^5 z^7 + a^7 z^7 + a^4 z^8 + 
  a^6 z^8, 9 + 1/a^8 - 1/a^6 + 4/a^4 + 14/a^2 - 1/z^2 - 1/(a^4 z^2) - 
  2/(a^2 z^2) + 2/(a^3 z) + 2/(a z) - (13 z)/a^3 - (13 z)/a - 
  22 z^2 - (3 z^2)/a^8 + (3 z^2)/a^6 - (2 z^2)/a^4 - (30 z^2)/a^2 - (
  2 z^3)/a^7 - z^3/a^5 + (19 z^3)/a^3 + (18 z^3)/a + 21 z^4 + z^4/
  a^8 - (3 z^4)/a^6 + z^4/a^4 + (26 z^4)/a^2 + z^5/a^7 + z^5/a^5 - (
  8 z^5)/a^3 - (8 z^5)/a - 8 z^6 + z^6/a^6 - (9 z^6)/a^2 + z^7/a^3 + 
  z^7/a + z^8 + z^8/a^2, -7 - 5/a^2 - 2 a^2 - a^6 + 2/z^2 + 1/(
  a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (6 z)/a + 2 a z - 
  6 a^3 z - 2 a^5 z + 10 z^2 + (9 z^2)/a^2 + a^2 z^2 + 4 a^4 z^2 + 
  4 a^6 z^2 - (3 z^3)/a + 5 a z^3 + 15 a^3 z^3 + 7 a^5 z^3 - 3 z^4 - (
  6 z^4)/a^2 + 3 a^2 z^4 - 4 a^4 z^4 - 4 a^6 z^4 - 5 a z^5 - 
  13 a^3 z^5 - 8 a^5 z^5 + z^6/a^2 - 4 a^2 z^6 - 2 a^4 z^6 + a^6 z^6 +
   a z^7 + 3 a^3 z^7 + 2 a^5 z^7 + a^2 z^8 + a^4 z^8, -6 a^6 - 
  9 a^8 - 2 a^10 + 2 a^12 + a^6/z^2 + (2 a^8)/z^2 + a^10/z^2 - (
  2 a^7)/z - (2 a^9)/z + 8 a^7 z + 8 a^9 z - a^4 z^2 + 10 a^6 z^2 + 
  16 a^8 z^2 - 5 a^12 z^2 - 2 a^5 z^3 - 8 a^7 z^3 - 8 a^9 z^3 - 
  2 a^11 z^3 + a^4 z^4 - 11 a^6 z^4 - 18 a^8 z^4 - 3 a^10 z^4 + 
  3 a^12 z^4 + 3 a^5 z^5 - a^7 z^5 - 3 a^9 z^5 + a^11 z^5 + 
  6 a^6 z^6 + 8 a^8 z^6 + 2 a^10 z^6 + 4 a^7 z^7 + 5 a^9 z^7 + 
  a^11 z^7 + a^8 z^8 + a^10 z^8, -3 - 1/a^2 - 7 a^2 - 8 a^4 - 4 a^6 + 
  a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z - z/a - 
  3 a z + a^3 z + 3 a^5 z + 11 z^2 + (3 z^2)/a^2 + 18 a^2 z^2 + 
  16 a^4 z^2 + 6 a^6 z^2 + (9 z^3)/a + 16 a z^3 + 7 a^3 z^3 - 
  11 z^4 - (3 z^4)/a^2 - 23 a^2 z^4 - 15 a^4 z^4 - (10 z^5)/a - 
  25 a z^5 - 12 a^3 z^5 + 3 a^5 z^5 - z^6 + z^6/a^2 + 5 a^2 z^6 + 
  7 a^4 z^6 + (3 z^7)/a + 9 a z^7 + 6 a^3 z^7 + 2 z^8 + 
  2 a^2 z^8, -2 a^2 - 2 a^4 - 2 a^6 - 5 a^8 - 4 a^10 + a^6/z^2 + (
  2 a^8)/z^2 + a^10/z^2 - (2 a^7)/z - (2 a^9)/z - 4 a^3 z - 
  12 a^5 z - 4 a^7 z + 4 a^9 z + 6 a^2 z^2 + 12 a^4 z^2 + 6 a^6 z^2 + 
  6 a^8 z^2 + 6 a^10 z^2 + 6 a^3 z^3 + 22 a^5 z^3 + 16 a^7 z^3 - 
  5 a^2 z^4 - 11 a^4 z^4 + 2 a^6 z^4 + 3 a^8 z^4 - 5 a^10 z^4 - 
  5 a^3 z^5 - 13 a^5 z^5 - 12 a^7 z^5 - 4 a^9 z^5 + a^2 z^6 + 
  2 a^4 z^6 - 5 a^6 z^6 - 5 a^8 z^6 + a^10 z^6 + a^3 z^7 + 
  2 a^5 z^7 + 2 a^7 z^7 + a^9 z^7 + a^6 z^8 + a^8 z^8, 
 5 - 1/a^2 + 11 a^2 + 5 a^4 - a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - 9 a z - 9 a^3 z - 4 z^2 + z^2/a^2 - 
  21 a^2 z^2 - 10 a^4 z^2 + 6 a^6 z^2 + z^3/a + 11 a z^3 + 
  13 a^3 z^3 + 3 a^5 z^3 + 2 z^4 + 16 a^2 z^4 + 9 a^4 z^4 - 
  5 a^6 z^4 - 5 a z^5 - 9 a^3 z^5 - 4 a^5 z^5 - 6 a^2 z^6 - 
  5 a^4 z^6 + a^6 z^6 + a z^7 + 2 a^3 z^7 + a^5 z^7 + a^2 z^8 + 
  a^4 z^8, 7 a^8 + 11 a^10 + 3 a^12 - 2 a^14 - a^8/z^2 - (2 a^10)/
  z^2 - a^12/z^2 + (2 a^9)/z + (2 a^11)/z - 9 a^9 z - 9 a^11 z - 
  21 a^8 z^2 - 23 a^10 z^2 - a^12 z^2 + a^14 z^2 + 14 a^9 z^3 + 
  14 a^11 z^3 + 21 a^8 z^4 + 21 a^10 z^4 - 7 a^9 z^5 - 7 a^11 z^5 - 
  8 a^8 z^6 - 8 a^10 z^6 + a^9 z^7 + a^11 z^7 + a^8 z^8 + 
  a^10 z^8, -(2/a^10) + 3/a^8 + 11/a^6 + 7/a^4 - 1/(a^8 z^2) - 2/(
  a^6 z^2) - 1/(a^4 z^2) + 2/(a^7 z) + 2/(a^5 z) - (9 z)/a^7 - (9 z)/
  a^5 + (9 z^2)/a^10 - z^2/a^8 - (15 z^2)/a^6 - (5 z^2)/a^4 + (6 z^3)/
  a^7 + (6 z^3)/a^5 - (6 z^4)/a^10 + (7 z^4)/a^6 + z^4/a^4 - z^5/a^7 -
   z^5/a^5 + z^6/a^10 - z^6/a^6, 
 7 + 11 a^2 + 3 a^4 - 2 a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - 9 a z - 9 a^3 z - 9 z^2 - 21 a^2 z^2 - 3 a^4 z^2 + 
  7 a^6 z^2 - 2 a^8 z^2 + 7 a z^3 + 13 a^3 z^3 + 3 a^5 z^3 - 
  3 a^7 z^3 + 3 z^4 + 14 a^2 z^4 + 3 a^4 z^4 - 7 a^6 z^4 + a^8 z^4 - 
  3 a z^5 - 8 a^3 z^5 - 3 a^5 z^5 + 2 a^7 z^5 - 4 a^2 z^6 - a^4 z^6 + 
  3 a^6 z^6 + a z^7 + 3 a^3 z^7 + 2 a^5 z^7 + a^2 z^8 + a^4 z^8, 
 1/a^10 - 11/a^8 - 24/a^6 - 13/a^4 - 1/(a^9 z^3) - 3/(a^7 z^3) - 3/(
  a^5 z^3) - 1/(a^3 z^3) + 3/(a^8 z^2) + 6/(a^6 z^2) + 3/(a^4 z^2) - 
  1/(a^11 z) + 3/(a^9 z) + 12/(a^7 z) + 14/(a^5 z) + 6/(a^3 z) + (
  3 z)/a^11 - (3 z)/a^9 - (21 z)/a^7 - (28 z)/a^5 - (13 z)/a^3 + (
  16 z^2)/a^8 + (33 z^2)/a^6 + (17 z^2)/a^4 - (3 z^3)/a^11 - (2 z^3)/
  a^9 + (26 z^3)/a^7 + (31 z^3)/a^5 + (6 z^3)/a^3 - (4 z^4)/a^10 - (
  13 z^4)/a^8 - (18 z^4)/a^6 - (9 z^4)/a^4 + z^5/a^11 - (2 z^5)/
  a^9 - (18 z^5)/a^7 - (15 z^5)/a^5 + (2 z^6)/a^10 + (3 z^6)/a^8 + (
  4 z^6)/a^6 + (3 z^6)/a^4 + (2 z^7)/a^9 + (6 z^7)/a^7 + (4 z^7)/a^5 +
   z^8/a^8 + z^8/a^6, -13 - 24 a^2 - 11 a^4 + a^6 - 1/(a z^3) - (3 a)/
  z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/z^2 + (6 a^2)/z^2 + (3 a^4)/z^2 + 
  6/(a z) + (14 a)/z + (12 a^3)/z + (3 a^5)/z - a^7/z - (13 z)/a - 
  28 a z - 21 a^3 z - 3 a^5 z + 3 a^7 z + 17 z^2 + 33 a^2 z^2 + 
  16 a^4 z^2 + (15 z^3)/a + 25 a z^3 + 18 a^3 z^3 + 4 a^5 z^3 - 
  4 a^7 z^3 - 8 z^4 - 15 a^2 z^4 - 10 a^4 z^4 - 3 a^6 z^4 - (7 z^5)/
  a - 9 a z^5 - 7 a^3 z^5 - 4 a^5 z^5 + a^7 z^5 + z^6 + 2 a^2 z^6 + 
  2 a^4 z^6 + a^6 z^6 + z^7/a + a z^7 + a^3 z^7 + a^5 z^7, -11 + 1/
  a^2 - 24 a^2 - 13 a^4 - 1/(a z^3) - (3 a)/z^3 - (3 a^3)/z^3 - a^5/
  z^3 + 3/z^2 + (6 a^2)/z^2 + (3 a^4)/z^2 - 1/(a^3 z) + 3/(a z) + (
  12 a)/z + (14 a^3)/z + (6 a^5)/z + (3 z)/a^3 - (3 z)/a - 21 a z - 
  28 a^3 z - 13 a^5 z + 16 z^2 + 33 a^2 z^2 + 17 a^4 z^2 - (2 z^3)/
  a + 24 a z^3 + 39 a^3 z^3 + 13 a^5 z^3 - 14 z^4 + z^4/a^2 - 
  19 a^2 z^4 - 4 a^4 z^4 + (2 z^5)/a - 17 a z^5 - 25 a^3 z^5 - 
  6 a^5 z^5 + 4 z^6 + a^2 z^6 - 3 a^4 z^6 + 4 a z^7 + 5 a^3 z^7 + 
  a^5 z^7 + a^2 z^8 + a^4 z^8, -11 + 1/a^2 - 24 a^2 - 13 a^4 - 1/(
  a z^3) - (3 a)/z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/z^2 + (6 a^2)/z^2 + (
  3 a^4)/z^2 - 1/(a^3 z) + 3/(a z) + (12 a)/z + (14 a^3)/z + (6 a^5)/
  z + (3 z)/a^3 - (4 z)/a - 20 a z - 23 a^3 z - 10 a^5 z + 18 z^2 + 
  33 a^2 z^2 + 15 a^4 z^2 - (3 z^3)/a^3 + (3 z^3)/a + 19 a z^3 + 
  19 a^3 z^3 + 6 a^5 z^3 - 21 z^4 - (3 z^4)/a^2 - 24 a^2 z^4 - 
  6 a^4 z^4 + z^5/a^3 - (5 z^5)/a - 15 a z^5 - 9 a^3 z^5 + 7 z^6 + (
  2 z^6)/a^2 + 8 a^2 z^6 + 3 a^4 z^6 + (3 z^7)/a + 7 a z^7 + 
  4 a^3 z^7 + z^8 + a^2 z^8, -6 - 6/a^4 - 11/a^2 - 1/(a^5 z^3) - 3/(
  a^3 z^3) - 3/(a z^3) - a/z^3 + 3/z^2 + 3/(a^4 z^2) + 6/(a^2 z^2) + 
  3/(a^5 z) + 6/(a^3 z) + 6/(a z) + (3 a)/z - (4 z)/a^5 - (5 z)/a^3 - 
  z/a + z^2 + (5 z^2)/a^4 + (6 z^2)/a^2 + (3 z^3)/a^5 - z^3/a^3 - (
  10 z^3)/a - 6 a z^3 - 5 z^4 - (6 z^4)/a^2 + a^2 z^4 + (2 z^5)/
  a^3 + (6 z^5)/a + 4 a z^5 + 4 z^6 + z^6/a^4 + (5 z^6)/a^2 + z^7/
  a^3 + z^7/a, -(13/a^8) - 24/a^6 - 11/a^4 + 1/a^2 - 1/(a^9 z^3) - 3/(
  a^7 z^3) - 3/(a^5 z^3) - 1/(a^3 z^3) + 3/(a^8 z^2) + 6/(a^6 z^2) + 
  3/(a^4 z^2) + 6/(a^9 z) + 14/(a^7 z) + 12/(a^5 z) + 3/(a^3 z) - 1/(
  a z) - (14 z)/a^9 - (27 z)/a^7 - (16 z)/a^5 + (3 z)/a + (19 z^2)/
  a^8 + (33 z^2)/a^6 + (14 z^2)/a^4 + (15 z^3)/a^9 + (28 z^3)/a^7 + (
  10 z^3)/a^5 - (6 z^3)/a^3 - (3 z^3)/a - (9 z^4)/a^8 - (14 z^4)/
  a^6 - (10 z^4)/a^4 - (5 z^4)/a^2 - (7 z^5)/a^9 - (10 z^5)/a^7 - (
  4 z^5)/a^5 + z^5/a + z^6/a^8 + (2 z^6)/a^6 + (3 z^6)/a^4 + (2 z^6)/
  a^2 + z^7/a^9 + z^7/a^7 + z^7/a^5 + z^7/a^3, 
 a^6 - 11 a^8 - 24 a^10 - 13 a^12 - a^7/z^3 - (3 a^9)/z^3 - (3 a^11)/
  z^3 - a^13/z^3 + (3 a^8)/z^2 + (6 a^10)/z^2 + (3 a^12)/z^2 - a^5/
  z + (3 a^7)/z + (12 a^9)/z + (14 a^11)/z + (6 a^13)/z + 4 a^5 z - 
  4 a^7 z - 26 a^9 z - 31 a^11 z - 13 a^13 z + a^6 z^2 + 21 a^8 z^2 + 
  36 a^10 z^2 + 16 a^12 z^2 - 5 a^5 z^3 + 3 a^7 z^3 + 36 a^9 z^3 + 
  41 a^11 z^3 + 13 a^13 z^3 - a^6 z^4 - 16 a^8 z^4 - 19 a^10 z^4 - 
  4 a^12 z^4 + a^5 z^5 - a^7 z^5 - 22 a^9 z^5 - 26 a^11 z^5 - 
  6 a^13 z^5 + 3 a^8 z^6 - 3 a^12 z^6 + 4 a^9 z^7 + 5 a^11 z^7 + 
  a^13 z^7 + a^10 z^8 + a^12 z^8, -6 a^4 - 11 a^6 - 6 a^8 - a^3/
  z^3 - (3 a^5)/z^3 - (3 a^7)/z^3 - a^9/z^3 + (3 a^4)/z^2 + (6 a^6)/
  z^2 + (3 a^8)/z^2 + (3 a^3)/z + (6 a^5)/z + (6 a^7)/z + (3 a^9)/z + 
  a z - 4 a^3 z - 11 a^5 z - 9 a^7 z - 3 a^9 z + a^2 z^2 + 
  8 a^4 z^2 + 9 a^6 z^2 + 2 a^8 z^2 - 2 a z^3 + 3 a^3 z^3 + 
  16 a^5 z^3 + 12 a^7 z^3 + a^9 z^3 - 7 a^2 z^4 - 7 a^4 z^4 + 
  a^6 z^4 + a^8 z^4 + a z^5 - 7 a^3 z^5 - 12 a^5 z^5 - 4 a^7 z^5 + 
  3 a^2 z^6 + a^4 z^6 - 2 a^6 z^6 + 3 a^3 z^7 + 4 a^5 z^7 + a^7 z^7 + 
  a^4 z^8 + a^6 z^8, -10 a^4 - 19 a^6 - 10 a^8 - a^3/z^3 - (3 a^5)/
  z^3 - (3 a^7)/z^3 - a^9/z^3 + (3 a^4)/z^2 + (6 a^6)/z^2 + (3 a^8)/
  z^2 + (5 a^3)/z + (12 a^5)/z + (12 a^7)/z + (5 a^9)/z - 4 a^3 z - 
  15 a^5 z - 23 a^7 z - 12 a^9 z + 6 a^4 z^2 + 20 a^6 z^2 + 
  14 a^8 z^2 + a^3 z^3 + 7 a^5 z^3 + 21 a^7 z^3 + 15 a^9 z^3 - 
  a^4 z^4 - 8 a^6 z^4 - 7 a^8 z^4 - a^5 z^5 - 8 a^7 z^5 - 7 a^9 z^5 + 
  a^6 z^6 + a^8 z^6 + a^7 z^7 + a^9 z^7, -10 - 19 a^2 - 10 a^4 - 1/(
  a z^3) - (3 a)/z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/z^2 + (6 a^2)/z^2 + (
  3 a^4)/z^2 + 5/(a z) + (12 a)/z + (12 a^3)/z + (5 a^5)/z - (8 z)/
  a - 19 a z - 19 a^3 z - 8 a^5 z + 10 z^2 + 20 a^2 z^2 + 
  10 a^4 z^2 + (3 z^3)/a + 15 a z^3 + 15 a^3 z^3 + 3 a^5 z^3 - 
  4 z^4 - 8 a^2 z^4 - 4 a^4 z^4 - 5 a z^5 - 5 a^3 z^5 + z^6 + 
  2 a^2 z^6 + a^4 z^6 + a z^7 + a^3 z^7, 
 4 a^2 + 7 a^4 + 4 a^6 + a/z^3 + (3 a^3)/z^3 + (3 a^5)/z^3 + a^7/
  z^3 - (3 a^2)/z^2 - (6 a^4)/z^2 - (3 a^6)/z^2 - (2 a)/z - (3 a^3)/
  z - (3 a^5)/z - (2 a^7)/z - 3 a z - 11 a^3 z - 11 a^5 z - 3 a^7 z + 
  z^2 + 3 a^2 z^2 + 4 a^4 z^2 + 3 a^6 z^2 + a^8 z^2 + 12 a z^3 + 
  32 a^3 z^3 + 24 a^5 z^3 + 4 a^7 z^3 - 3 z^4 - 2 a^2 z^4 - 
  3 a^4 z^4 - 4 a^6 z^4 - 12 a z^5 - 28 a^3 z^5 - 16 a^5 z^5 + z^6 - 
  5 a^2 z^6 - 4 a^4 z^6 + 2 a^6 z^6 + 3 a z^7 + 7 a^3 z^7 + 
  4 a^5 z^7 + 2 a^2 z^8 + 2 a^4 z^8, -1 + 1/(a^3 z^3) + 3/(a z^3) + (
  3 a)/z^3 + a^3/z^3 - 6/z^2 - 3/(a^2 z^2) - (3 a^2)/z^2 + 3/(a z) + (
  3 a)/z - (8 z)/a^3 - (24 z)/a - 24 a z - 8 a^3 z + 12 z^2 + (2 z^2)/
  a^4 + (8 z^2)/a^2 + 8 a^2 z^2 + 2 a^4 z^2 + (12 z^3)/a^3 + (44 z^3)/
  a + 44 a z^3 + 12 a^3 z^3 + 4 z^4 - (4 z^4)/a^4 - (2 z^4)/a^2 - 
  2 a^2 z^4 - 4 a^4 z^4 - (10 z^5)/a^3 - (26 z^5)/a - 26 a z^5 - 
  10 a^3 z^5 - 10 z^6 + z^6/a^4 - (4 z^6)/a^2 - 4 a^2 z^6 + 
  a^4 z^6 + (2 z^7)/a^3 + (4 z^7)/a + 4 a z^7 + 2 a^3 z^7 + 2 z^8 + 
  z^8/a^2 + a^2 z^8, -10 a^4 - 19 a^6 - 10 a^8 - a^3/z^3 - (3 a^5)/
  z^3 - (3 a^7)/z^3 - a^9/z^3 + (3 a^4)/z^2 + (6 a^6)/z^2 + (3 a^8)/
  z^2 + (5 a^3)/z + (12 a^5)/z + (12 a^7)/z + (5 a^9)/z - 11 a^3 z - 
  27 a^5 z - 25 a^7 z - 8 a^9 z + a^11 z + 11 a^4 z^2 + 23 a^6 z^2 + 
  13 a^8 z^2 + a^10 z^2 + 12 a^3 z^3 + 37 a^5 z^3 + 28 a^7 z^3 + 
  3 a^9 z^3 - 9 a^6 z^4 - 9 a^8 z^4 - 6 a^3 z^5 - 22 a^5 z^5 - 
  16 a^7 z^5 - 4 a^4 z^6 - 2 a^6 z^6 + 2 a^8 z^6 + a^3 z^7 + 
  4 a^5 z^7 + 3 a^7 z^7 + a^4 z^8 + a^6 z^8, -10 - 19 a^2 - 10 a^4 - 
  1/(a z^3) - (3 a)/z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/z^2 + (6 a^2)/
  z^2 + (3 a^4)/z^2 + 5/(a z) + (12 a)/z + (12 a^3)/z + (5 a^5)/z - (
  7 z)/a - 23 a z - 29 a^3 z - 12 a^5 z + a^7 z + 7 z^2 + 
  23 a^2 z^2 + 17 a^4 z^2 + a^6 z^2 + (3 z^3)/a + 21 a z^3 + 
  36 a^3 z^3 + 15 a^5 z^3 - 3 a^7 z^3 - 2 z^4 - 8 a^2 z^4 - 
  11 a^4 z^4 - 5 a^6 z^4 - 8 a z^5 - 20 a^3 z^5 - 11 a^5 z^5 + 
  a^7 z^5 + z^6 + a^4 z^6 + 2 a^6 z^6 + 2 a z^7 + 5 a^3 z^7 + 
  3 a^5 z^7 + a^2 z^8 + a^4 z^8, -10 - 10/a^4 - 19/a^2 - 1/(
  a^5 z^3) - 3/(a^3 z^3) - 3/(a z^3) - a/z^3 + 3/z^2 + 3/(a^4 z^2) + 
  6/(a^2 z^2) + 5/(a^5 z) + 12/(a^3 z) + 12/(a z) + (5 a)/z + z/
  a^7 - (8 z)/a^5 - (25 z)/a^3 - (27 z)/a - 11 a z + 11 z^2 + z^2/
  a^6 + (13 z^2)/a^4 + (23 z^2)/a^2 - (2 z^3)/a^7 + (7 z^3)/a^5 + (
  36 z^3)/a^3 + (33 z^3)/a + 6 a z^3 - 6 z^4 - (6 z^4)/a^6 - (11 z^4)/
  a^4 - (11 z^4)/a^2 + z^5/a^7 - (9 z^5)/a^5 - (27 z^5)/a^3 - (
  17 z^5)/a + 3 z^6 + (3 z^6)/a^6 + z^6/a^4 + z^6/a^2 + (4 z^7)/
  a^5 + (9 z^7)/a^3 + (5 z^7)/a + (2 z^8)/a^4 + (2 z^8)/a^2, -10 - 
  19 a^2 - 10 a^4 - 1/(a z^3) - (3 a)/z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/
  z^2 + (6 a^2)/z^2 + (3 a^4)/z^2 + 5/(a z) + (12 a)/z + (12 a^3)/
  z + (5 a^5)/z + (2 z)/a^3 - (12 z)/a - 35 a z - 31 a^3 z - 
  10 a^5 z + 20 z^2 + (2 z^2)/a^2 + 26 a^2 z^2 + 8 a^4 z^2 - (4 z^3)/
  a^3 + (11 z^3)/a + 43 a z^3 + 39 a^3 z^3 + 11 a^5 z^3 - 13 z^4 - (
  4 z^4)/a^2 - 6 a^2 z^4 + 3 a^4 z^4 + z^5/a^3 - (6 z^5)/a - 
  21 a z^5 - 20 a^3 z^5 - 6 a^5 z^5 + 2 z^6 + z^6/a^2 - 4 a^2 z^6 - 
  5 a^4 z^6 + z^7/a + 3 a z^7 + 3 a^3 z^7 + a^5 z^7 + a^2 z^8 + 
  a^4 z^8, -(10/a^10) - 25/a^8 - 31/a^6 - 25/a^4 - 10/a^2 - 1/(
  a^10 z^4) - 4/(a^8 z^4) - 6/(a^6 z^4) - 4/(a^4 z^4) - 1/(a^2 z^4) + 
  4/(a^9 z^3) + 12/(a^7 z^3) + 12/(a^5 z^3) + 4/(a^3 z^3) + 5/(
  a^10 z^2) + 14/(a^8 z^2) + 18/(a^6 z^2) + 14/(a^4 z^2) + 5/(
  a^2 z^2) - 15/(a^9 z) - 41/(a^7 z) - 41/(a^5 z) - 15/(a^3 z) + (
  20 z)/a^9 + (55 z)/a^7 + (55 z)/a^5 + (20 z)/a^3 + (10 z^2)/a^10 + (
  30 z^2)/a^8 + (40 z^2)/a^6 + (30 z^2)/a^4 + (10 z^2)/a^2 - (10 z^3)/
  a^9 - (30 z^3)/a^7 - (30 z^3)/a^5 - (10 z^3)/a^3 - (5 z^4)/a^10 - (
  19 z^4)/a^8 - (39 z^4)/a^6 - (25 z^4)/a^4 - (6 z^5)/a^7 + (6 z^5)/
  a^3 + z^6/a^10 + (3 z^6)/a^8 + (12 z^6)/a^6 + (10 z^6)/a^4 + z^7/
  a^9 + (6 z^7)/a^7 + (5 z^7)/a^5 + z^8/a^8 + z^8/a^6, -25 - 10/a^6 - 
  25/a^4 - 31/a^2 - 10 a^2 - 4/z^4 - 1/(a^6 z^4) - 4/(a^4 z^4) - 6/(
  a^2 z^4) - a^2/z^4 + 4/(a^5 z^3) + 12/(a^3 z^3) + 12/(a z^3) + (
  4 a)/z^3 + 14/z^2 + 5/(a^6 z^2) + 14/(a^4 z^2) + 18/(a^2 z^2) + (
  5 a^2)/z^2 - 15/(a^5 z) - 41/(a^3 z) - 41/(a z) - (15 a)/z + (20 z)/
  a^5 + (55 z)/a^3 + (55 z)/a + 20 a z + 30 z^2 + (10 z^2)/a^6 + (
  30 z^2)/a^4 + (40 z^2)/a^2 + 10 a^2 z^2 - (10 z^3)/a^5 - (30 z^3)/
  a^3 - (30 z^3)/a - 10 a z^3 - 11 z^4 - (5 z^4)/a^6 - (25 z^4)/
  a^4 - (25 z^4)/a^2 - 6 a^2 z^4 - z^5/a^5 + (3 z^5)/a^3 + (5 z^5)/a +
   a z^5 + z^6 + z^6/a^6 + (6 z^6)/a^4 + (5 z^6)/a^2 + a^2 z^6 + z^7/
  a^5 + z^7/a^3, -1 - 1/(a^3 z) - 2/(a z) - (2 a)/z - a^3/z - (2 z)/
  a^5 - (3 z)/a^3 + (2 z)/a + 4 a z + a^3 z - z^2 + (2 z^2)/a^6 + z^2/
  a^4 - (2 z^2)/a^2 - z^3/a^7 + (8 z^3)/a^5 + (18 z^3)/a^3 + (14 z^3)/
  a + 9 a z^3 + 4 a^3 z^3 + 25 z^4 - (5 z^4)/a^6 + z^4/a^4 + (19 z^4)/
  a^2 + 11 a^2 z^4 - a^4 z^4 + z^5/a^7 - (12 z^5)/a^5 - (25 z^5)/
  a^3 - (16 z^5)/a - 14 a z^5 - 10 a^3 z^5 - 44 z^6 + (4 z^6)/a^6 - (
  9 z^6)/a^4 - (36 z^6)/a^2 - 20 a^2 z^6 + a^4 z^6 + (8 z^7)/a^5 + (
  6 z^7)/a^3 - (12 z^7)/a - 5 a z^7 + 5 a^3 z^7 + 17 z^8 + (9 z^8)/
  a^4 + (17 z^8)/a^2 + 9 a^2 z^8 + (6 z^9)/a^3 + (13 z^9)/a + 
  7 a z^9 + 2 z^10 + (2 z^10)/a^2, -1 - 1/(a^3 z) - 2/(a z) - (2 a)/
  z - a^3/z + z/a^3 + (2 z)/a - a^3 z - 7 z^2 - (2 z^2)/a^2 - 
  6 a^2 z^2 - a^4 z^2 + (5 z^3)/a^3 + (17 z^3)/a + 27 a z^3 + 
  21 a^3 z^3 + 6 a^5 z^3 + 39 z^4 - z^4/a^4 + (12 z^4)/a^2 + 
  35 a^2 z^4 + 5 a^4 z^4 - 4 a^6 z^4 - (10 z^5)/a^3 - (23 z^5)/a - 
  32 a z^5 - 35 a^3 z^5 - 15 a^5 z^5 + a^7 z^5 - 57 z^6 + z^6/a^4 - (
  19 z^6)/a^2 - 58 a^2 z^6 - 16 a^4 z^6 + 5 a^6 z^6 + (5 z^7)/a^3 - 
  z^7/a - 9 a z^7 + 8 a^3 z^7 + 11 a^5 z^7 + 22 z^8 + (9 z^8)/a^2 + 
  26 a^2 z^8 + 13 a^4 z^8 + (7 z^9)/a + 15 a z^9 + 8 a^3 z^9 + 
  2 z^10 + 2 a^2 z^10, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) + z/a^3 - z/
  a - 4 a z - 2 a^3 z - 7 z^2 - (3 z^2)/a^4 - (7 z^2)/a^2 - 
  2 a^2 z^2 + a^4 z^2 + (5 z^3)/a^5 + (15 z^3)/a^3 + (20 z^3)/a + 
  16 a z^3 + 6 a^3 z^3 + 32 z^4 - (5 z^4)/a^6 + z^4/a^4 + (27 z^4)/
  a^2 + 9 a^2 z^4 - 2 a^4 z^4 + z^5/a^7 - (14 z^5)/a^5 - (26 z^5)/
  a^3 - (16 z^5)/a - 14 a z^5 - 9 a^3 z^5 - 42 z^6 + (5 z^6)/a^6 - (
  12 z^6)/a^4 - (43 z^6)/a^2 - 15 a^2 z^6 + a^4 z^6 + (10 z^7)/a^5 + (
  5 z^7)/a^3 - (13 z^7)/a - 4 a z^7 + 4 a^3 z^7 + 15 z^8 + (11 z^8)/
  a^4 + (19 z^8)/a^2 + 7 a^2 z^8 + (7 z^9)/a^3 + (13 z^9)/a + 
  6 a z^9 + 2 z^10 + (2 z^10)/a^2, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) + (2 z)/
  a^7 + (4 z)/a^5 + (3 z)/a^3 + z/a + (2 z^2)/a^10 - (5 z^2)/a^6 - (
  5 z^2)/a^4 - (2 z^2)/a^2 - z^3/a^11 + (6 z^3)/a^9 - (9 z^3)/a^5 + (
  6 z^3)/a^3 + (8 z^3)/a - 2 z^4 - (5 z^4)/a^10 + (3 z^4)/a^8 + (
  10 z^4)/a^6 + (13 z^4)/a^4 + (9 z^4)/a^2 + z^5/a^11 - (12 z^5)/
  a^9 - (8 z^5)/a^7 + (10 z^5)/a^5 - (6 z^5)/a^3 - (11 z^5)/a + 
  z^6 + (4 z^6)/a^10 - (11 z^6)/a^8 - (21 z^6)/a^6 - (21 z^6)/a^4 - (
  14 z^6)/a^2 + (8 z^7)/a^9 - (17 z^7)/a^5 - (5 z^7)/a^3 + (4 z^7)/
  a + (9 z^8)/a^8 + (11 z^8)/a^6 + (8 z^8)/a^4 + (6 z^8)/a^2 + (
  6 z^9)/a^7 + (11 z^9)/a^5 + (5 z^9)/a^3 + (2 z^10)/a^6 + (2 z^10)/
  a^4, -1 + 1/(a z) + a/z + (2 z)/a^7 + (4 z)/a^5 + (2 z)/a^3 - (
  6 z^2)/a^8 - (11 z^2)/a^6 - (6 z^2)/a^4 - z^2/a^2 + (3 z^3)/a^9 - (
  11 z^3)/a^7 - (22 z^3)/a^5 - (8 z^3)/a^3 - (4 z^3)/a - 4 a z^3 - 
  6 z^4 + (15 z^4)/a^8 + (27 z^4)/a^6 + (23 z^4)/a^4 + (4 z^4)/a^2 + 
  a^2 z^4 - (4 z^5)/a^9 + (21 z^5)/a^7 + (46 z^5)/a^5 + (13 z^5)/
  a^3 - (4 z^5)/a + 4 a z^5 + 6 z^6 - (13 z^6)/a^8 - (16 z^6)/a^6 - (
  18 z^6)/a^4 - (9 z^6)/a^2 + z^7/a^9 - (17 z^7)/a^7 - (36 z^7)/
  a^5 - (12 z^7)/a^3 + (6 z^7)/a + (3 z^8)/a^8 - (2 z^8)/a^6 + z^8/
  a^4 + (6 z^8)/a^2 + (4 z^9)/a^7 + (9 z^9)/a^5 + (5 z^9)/a^3 + (
  2 z^10)/a^6 + (2 z^10)/a^4, -(2/a^8) - 5/a^6 - 3/a^4 + 1/a^2 + 1/(
  a^7 z) + 2/(a^5 z) - 1/(a z) - (3 z)/a^5 - (4 z)/a^3 - z/a + z^2 + (
  2 z^2)/a^10 + (5 z^2)/a^8 + (9 z^2)/a^6 + (7 z^2)/a^4 + (2 z^2)/
  a^2 - z^3/a^11 + (4 z^3)/a^9 + (4 z^3)/a^7 + (3 z^3)/a^5 + (12 z^3)/
  a^3 + (8 z^3)/a - 2 z^4 - (6 z^4)/a^10 + (6 z^4)/a^6 + (4 z^4)/
  a^4 + (2 z^4)/a^2 + z^5/a^11 - (10 z^5)/a^9 - (6 z^5)/a^7 + z^5/
  a^5 - (14 z^5)/a^3 - (10 z^5)/a + z^6 + (4 z^6)/a^10 - (9 z^6)/
  a^8 - (22 z^6)/a^6 - (21 z^6)/a^4 - (11 z^6)/a^2 + (7 z^7)/a^9 - (
  2 z^7)/a^7 - (15 z^7)/a^5 - (2 z^7)/a^3 + (4 z^7)/a + (8 z^8)/
  a^8 + (11 z^8)/a^6 + (9 z^8)/a^4 + (6 z^8)/a^2 + (6 z^9)/a^7 + (
  11 z^9)/a^5 + (5 z^9)/a^3 + (2 z^10)/a^6 + (2 z^10)/a^4, -(2/a^8) - 
  5/a^6 - 3/a^4 + 1/a^2 + 1/(a^7 z) + 2/(a^5 z) - 1/(a z) + (2 z)/
  a^7 + (3 z)/a^5 + (2 z)/a^3 + z/a + (4 z^2)/a^10 + (7 z^2)/a^8 + (
  6 z^2)/a^6 + (2 z^2)/a^4 - z^2/a^2 - (2 z^3)/a^11 + (3 z^3)/a^9 - (
  9 z^3)/a^7 - (24 z^3)/a^5 - (4 z^3)/a^3 + (6 z^3)/a - 2 z^4 - (
  7 z^4)/a^10 - (3 z^4)/a^8 + z^4/a^6 + (8 z^4)/a^4 + (9 z^4)/a^2 + 
  z^5/a^11 - (7 z^5)/a^9 + (13 z^5)/a^7 + (38 z^5)/a^5 + (6 z^5)/
  a^3 - (11 z^5)/a + z^6 + (3 z^6)/a^10 - (4 z^6)/a^8 - (2 z^6)/
  a^6 - (12 z^6)/a^4 - (16 z^6)/a^2 + (4 z^7)/a^9 - (8 z^7)/a^7 - (
  27 z^7)/a^5 - (11 z^7)/a^3 + (4 z^7)/a + (4 z^8)/a^8 + (2 z^8)/
  a^4 + (6 z^8)/a^2 + (4 z^9)/a^7 + (9 z^9)/a^5 + (5 z^9)/a^3 + (
  2 z^10)/a^6 + (2 z^10)/a^4, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z + a z - a^3 z - 
  4 a^5 z - 2 a^7 z - 2 z^2 - 11 a^2 z^2 - 16 a^4 z^2 - 6 a^6 z^2 + 
  a^8 z^2 + (7 z^3)/a + 25 a z^3 + 30 a^3 z^3 + 18 a^5 z^3 + 
  6 a^7 z^3 + 4 z^4 - (4 z^4)/a^2 + 39 a^2 z^4 + 47 a^4 z^4 + 
  14 a^6 z^4 - 2 a^8 z^4 + z^5/a^3 - (15 z^5)/a - 41 a z^5 - 
  35 a^3 z^5 - 18 a^5 z^5 - 8 a^7 z^5 - 15 z^6 + (5 z^6)/a^2 - 
  61 a^2 z^6 - 59 a^4 z^6 - 17 a^6 z^6 + a^8 z^6 + (11 z^7)/a + 
  10 a z^7 - 8 a^3 z^7 - 3 a^5 z^7 + 4 a^7 z^7 + 13 z^8 + 
  27 a^2 z^8 + 22 a^4 z^8 + 8 a^6 z^8 + 8 a z^9 + 15 a^3 z^9 + 
  7 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) + (2 z)/
  a^7 + (4 z)/a^5 + (3 z)/a^3 + z/a - (8 z^2)/a^8 - (17 z^2)/a^6 - (
  13 z^2)/a^4 - (4 z^2)/a^2 + (4 z^3)/a^9 - (6 z^3)/a^7 - (7 z^3)/
  a^5 + (13 z^3)/a^3 + (8 z^3)/a - 2 a z^3 - 6 z^4 + (16 z^4)/a^8 + (
  34 z^4)/a^6 + (36 z^4)/a^4 + (11 z^4)/a^2 + a^2 z^4 - (4 z^5)/
  a^9 + (13 z^5)/a^7 + (20 z^5)/a^5 - (18 z^5)/a^3 - (17 z^5)/a + 
  4 a z^5 + 8 z^6 - (12 z^6)/a^8 - (26 z^6)/a^6 - (42 z^6)/a^4 - (
  20 z^6)/a^2 + z^7/a^9 - (13 z^7)/a^7 - (29 z^7)/a^5 - (3 z^7)/
  a^3 + (12 z^7)/a + (3 z^8)/a^8 + (3 z^8)/a^6 + (12 z^8)/a^4 + (
  12 z^8)/a^2 + (4 z^9)/a^7 + (11 z^9)/a^5 + (7 z^9)/a^3 + (2 z^10)/
  a^6 + (2 z^10)/a^4, -(2/a^8) - 5/a^6 - 3/a^4 + 1/a^2 + 1/(a^7 z) + 
  2/(a^5 z) - 1/(a z) - (3 z)/a^5 - (4 z)/a^3 - z/a + z^2 - (3 z^2)/
  a^8 - (3 z^2)/a^6 - z^2/a^4 + (2 z^3)/a^9 - (2 z^3)/a^7 + (5 z^3)/
  a^5 + (19 z^3)/a^3 + (8 z^3)/a - 2 a z^3 - 7 z^4 + (16 z^4)/a^8 + (
  32 z^4)/a^6 + (25 z^4)/a^4 + z^4/a^2 + a^2 z^4 - (3 z^5)/a^9 + (
  13 z^5)/a^7 + (11 z^5)/a^5 - (24 z^5)/a^3 - (15 z^5)/a + 4 a z^5 + 
  8 z^6 - (15 z^6)/a^8 - (32 z^6)/a^6 - (37 z^6)/a^4 - (12 z^6)/a^2 + 
  z^7/a^9 - (16 z^7)/a^7 - (27 z^7)/a^5 + z^7/a^3 + (11 z^7)/a + (
  4 z^8)/a^8 + (5 z^8)/a^6 + (11 z^8)/a^4 + (10 z^8)/a^2 + (5 z^9)/
  a^7 + (11 z^9)/a^5 + (6 z^9)/a^3 + (2 z^10)/a^6 + (2 z^10)/
  a^4, -1 + 1/(a z) + a/z - (2 z)/a - 6 a z - 8 a^3 z - 6 a^5 z - 
  2 a^7 z - 3 z^2 - 9 a^2 z^2 - 10 a^4 z^2 - 3 a^6 z^2 + a^8 z^2 + (
  7 z^3)/a + 26 a z^3 + 35 a^3 z^3 + 23 a^5 z^3 + 7 a^7 z^3 + 
  9 z^4 - (3 z^4)/a^2 + 41 a^2 z^4 + 41 a^4 z^4 + 10 a^6 z^4 - 
  2 a^8 z^4 + z^5/a^3 - (16 z^5)/a - 38 a z^5 - 34 a^3 z^5 - 
  22 a^5 z^5 - 9 a^7 z^5 - 21 z^6 + (5 z^6)/a^2 - 64 a^2 z^6 - 
  53 a^4 z^6 - 14 a^6 z^6 + a^8 z^6 + (12 z^7)/a + 7 a z^7 - 
  9 a^3 z^7 + 4 a^7 z^7 + 15 z^8 + 28 a^2 z^8 + 20 a^4 z^8 + 
  7 a^6 z^8 + 9 a z^9 + 15 a^3 z^9 + 6 a^5 z^9 + 2 a^2 z^10 + 
  2 a^4 z^10, 
 a^2 - 3 a^4 - 5 a^6 - 2 a^8 - a/z + (2 a^5)/z + a^7/z + a z - 
  4 a^3 z - 11 a^5 z - 8 a^7 z - 2 a^9 z - 2 a^2 z^2 + 8 a^6 z^2 + 
  9 a^8 z^2 + 3 a^10 z^2 + 5 a z^3 + 18 a^3 z^3 + 31 a^5 z^3 + 
  24 a^7 z^3 + 5 a^9 z^3 - a^11 z^3 - z^4 + 10 a^2 z^4 + 27 a^4 z^4 + 
  15 a^6 z^4 - 7 a^8 z^4 - 6 a^10 z^4 - 10 a z^5 - 21 a^3 z^5 - 
  26 a^5 z^5 - 25 a^7 z^5 - 9 a^9 z^5 + a^11 z^5 + z^6 - 19 a^2 z^6 - 
  47 a^4 z^6 - 36 a^6 z^6 - 5 a^8 z^6 + 4 a^10 z^6 + 5 a z^7 - 
  3 a^3 z^7 - 10 a^5 z^7 + 5 a^7 z^7 + 7 a^9 z^7 + 9 a^2 z^8 + 
  18 a^4 z^8 + 17 a^6 z^8 + 8 a^8 z^8 + 7 a^3 z^9 + 13 a^5 z^9 + 
  6 a^7 z^9 + 2 a^4 z^10 + 2 a^6 z^10, -1 + 1/(a z) + a/z - (2 z)/
  a^5 - (6 z)/a^3 - (8 z)/a - 6 a z - 2 a^3 z - 6 z^2 + (2 z^2)/a^6 + 
  z^2/a^4 - (5 z^2)/a^2 - a^2 z^2 + a^4 z^2 - z^3/a^7 + (7 z^3)/
  a^5 + (20 z^3)/a^3 + (23 z^3)/a + 18 a z^3 + 7 a^3 z^3 + 28 z^4 - (
  5 z^4)/a^6 + (4 z^4)/a^4 + (27 z^4)/a^2 + 8 a^2 z^4 - 2 a^4 z^4 + 
  z^5/a^7 - (11 z^5)/a^5 - (23 z^5)/a^3 - (20 z^5)/a - 18 a z^5 - 
  9 a^3 z^5 - 42 z^6 + (4 z^6)/a^6 - (12 z^6)/a^4 - (43 z^6)/a^2 - 
  14 a^2 z^6 + a^4 z^6 + (8 z^7)/a^5 + (3 z^7)/a^3 - (11 z^7)/a - 
  2 a z^7 + 4 a^3 z^7 + 16 z^8 + (10 z^8)/a^4 + (19 z^8)/a^2 + 
  7 a^2 z^8 + (7 z^9)/a^3 + (13 z^9)/a + 6 a z^9 + 2 z^10 + (2 z^10)/
  a^2, 1/a^10 - 5/a^6 - 5/a^4 + 2/(a^7 z) + 5/(a^5 z) + 3/(a^3 z) - (
  3 z)/a^7 - (13 z)/a^5 - (14 z)/a^3 - (4 z)/a + 2 z^2 + (6 z^2)/
  a^6 + (7 z^2)/a^4 + (3 z^2)/a^2 + (3 z^3)/a^9 + (6 z^3)/a^7 + (
  14 z^3)/a^5 + (20 z^3)/a^3 + (9 z^3)/a - 3 z^4 - (5 z^4)/a^10 + z^4/
  a^8 + (12 z^4)/a^6 + (9 z^4)/a^4 + z^5/a^11 - (14 z^5)/a^9 - (
  12 z^5)/a^7 + (2 z^5)/a^5 - (10 z^5)/a^3 - (9 z^5)/a + z^6 + (
  5 z^6)/a^10 - (14 z^6)/a^8 - (28 z^6)/a^6 - (17 z^6)/a^4 - (7 z^6)/
  a^2 + (10 z^7)/a^9 - z^7/a^7 - (17 z^7)/a^5 - (3 z^7)/a^3 + (3 z^7)/
  a + (11 z^8)/a^8 + (13 z^8)/a^6 + (6 z^8)/a^4 + (4 z^8)/a^2 + (
  7 z^9)/a^7 + (11 z^9)/a^5 + (4 z^9)/a^3 + (2 z^10)/a^6 + (2 z^10)/
  a^4, -(2/a^8) - 5/a^6 - 3/a^4 + 1/a^2 + 1/(a^7 z) + 2/(a^5 z) - 1/(
  a z) - z/a^5 + (2 z)/a^3 + (5 z)/a + 2 a z - z^2/a^8 + z^2/a^6 + (
  2 z^2)/a^4 + z^2/a^2 - a^2 z^2 + z^3/a^9 - (6 z^3)/a^7 - (13 z^3)/
  a^5 - (9 z^3)/a^3 - (7 z^3)/a - 4 a z^3 - 3 z^4 + (15 z^4)/a^8 + (
  24 z^4)/a^6 + (9 z^4)/a^4 - (4 z^4)/a^2 + a^2 z^4 - (3 z^5)/a^9 + (
  21 z^5)/a^7 + (36 z^5)/a^5 + (9 z^5)/a^3 + 3 a z^5 + 4 z^6 - (
  16 z^6)/a^8 - (21 z^6)/a^6 - (11 z^6)/a^4 - (2 z^6)/a^2 + z^7/
  a^9 - (20 z^7)/a^7 - (33 z^7)/a^5 - (8 z^7)/a^3 + (4 z^7)/a + (
  4 z^8)/a^8 + (4 z^8)/a^2 + (5 z^9)/a^7 + (9 z^9)/a^5 + (4 z^9)/
  a^3 + (2 z^10)/a^6 + (2 z^10)/a^4, 
 1/a^10 - 5/a^6 - 5/a^4 + 2/(a^7 z) + 5/(a^5 z) + 3/(a^3 z) + z/a^7 - 
  z/a^5 - (2 z)/a^3 - (2 z^2)/a^12 - (2 z^2)/a^10 + (4 z^2)/a^6 + (
  3 z^2)/a^4 - z^2/a^2 + z^3/a^13 - (3 z^3)/a^11 - (12 z^3)/a^7 - (
  35 z^3)/a^5 - (19 z^3)/a^3 + (3 z^4)/a^12 - (3 z^4)/a^10 + (4 z^4)/
  a^8 + (6 z^4)/a^6 + (2 z^4)/a^4 + (6 z^4)/a^2 + (4 z^5)/a^11 - (
  6 z^5)/a^9 + (20 z^5)/a^7 + (63 z^5)/a^5 + (33 z^5)/a^3 + (4 z^6)/
  a^10 - (10 z^6)/a^8 - z^6/a^6 + (8 z^6)/a^4 - (5 z^6)/a^2 + (4 z^7)/
  a^9 - (16 z^7)/a^7 - (38 z^7)/a^5 - (18 z^7)/a^3 + (4 z^8)/a^8 - (
  6 z^8)/a^6 - (9 z^8)/a^4 + z^8/a^2 + (4 z^9)/a^7 + (7 z^9)/a^5 + (
  3 z^9)/a^3 + (2 z^10)/a^6 + (2 z^10)/a^4, 
 1/a^10 - 5/a^6 - 5/a^4 + 2/(a^7 z) + 5/(a^5 z) + 3/(a^3 z) - z/
  a^7 - (7 z)/a^5 - (8 z)/a^3 - (2 z)/a + z^2 + (2 z^2)/a^10 + (
  2 z^2)/a^8 + (3 z^2)/a^6 + (2 z^2)/a^4 - z^3/a^11 + z^3/a^9 - (
  9 z^3)/a^7 - (13 z^3)/a^5 + (6 z^3)/a^3 + (8 z^3)/a - 3 z^4 - (
  7 z^4)/a^10 - (2 z^4)/a^8 + (9 z^4)/a^6 + (13 z^4)/a^4 + (6 z^4)/
  a^2 + z^5/a^11 - (9 z^5)/a^9 + (12 z^5)/a^7 + (37 z^5)/a^5 + (
  5 z^5)/a^3 - (10 z^5)/a + z^6 + (4 z^6)/a^10 - (7 z^6)/a^8 - (
  9 z^6)/a^6 - (10 z^6)/a^4 - (11 z^6)/a^2 + (6 z^7)/a^9 - (9 z^7)/
  a^7 - (28 z^7)/a^5 - (10 z^7)/a^3 + (3 z^7)/a + (6 z^8)/a^8 + (
  2 z^8)/a^6 + (4 z^8)/a^2 + (5 z^9)/a^7 + (9 z^9)/a^5 + (4 z^9)/
  a^3 + (2 z^10)/a^6 + (2 z^10)/a^4, 
 2 + 1/a^2 + 3 a^2 + a^4 + 2/(a z) + (4 a)/z + (3 a^3)/z + a^5/z - (
  5 z)/a^3 - (19 z)/a - 28 a z - 18 a^3 z - 4 a^5 z - 16 z^2 + (
  2 z^2)/a^4 - z^2/a^2 - 20 a^2 z^2 - 7 a^4 z^2 - z^3/a^5 + (14 z^3)/
  a^3 + (51 z^3)/a + 61 a z^3 + 31 a^3 z^3 + 6 a^5 z^3 + 50 z^4 + z^4/
  a^6 - (7 z^4)/a^4 + (5 z^4)/a^2 + 51 a^2 z^4 + 14 a^4 z^4 + (4 z^5)/
  a^5 - (21 z^5)/a^3 - (54 z^5)/a - 41 a z^5 - 16 a^3 z^5 - 
  4 a^5 z^5 - 63 z^6 + (9 z^6)/a^4 - (18 z^6)/a^2 - 47 a^2 z^6 - 
  11 a^4 z^6 + (14 z^7)/a^3 + (11 z^7)/a - 7 a z^7 - 3 a^3 z^7 + 
  a^5 z^7 + 22 z^8 + (13 z^8)/a^2 + 12 a^2 z^8 + 3 a^4 z^8 + (6 z^9)/
  a + 9 a z^9 + 3 a^3 z^9 + z^10 + a^2 z^10, -(1/a^8) - 2/a^6 + 2/
  a^2 + 1/(a^7 z) + 3/(a^5 z) + 3/(a^3 z) + 2/(a z) + a/z - (5 z)/
  a^7 - (16 z)/a^5 - (20 z)/a^3 - (13 z)/a - 4 a z - 5 z^2 - z^2/
  a^10 + (4 z^2)/a^8 + (4 z^2)/a^6 - (11 z^2)/a^4 - (15 z^2)/a^2 - (
  2 z^3)/a^9 + (13 z^3)/a^7 + (36 z^3)/a^5 + (40 z^3)/a^3 + (25 z^3)/
  a + 6 a z^3 + 13 z^4 + z^4/a^10 - (6 z^4)/a^8 + (4 z^4)/a^6 + (
  40 z^4)/a^4 + (42 z^4)/a^2 + (3 z^5)/a^9 - (14 z^5)/a^7 - (33 z^5)/
  a^5 - (25 z^5)/a^3 - (13 z^5)/a - 4 a z^5 - 11 z^6 + (6 z^6)/a^8 - (
  13 z^6)/a^6 - (49 z^6)/a^4 - (41 z^6)/a^2 + (9 z^7)/a^7 + (4 z^7)/
  a^5 - (10 z^7)/a^3 - (4 z^7)/a + a z^7 + 3 z^8 + (9 z^8)/a^6 + (
  16 z^8)/a^4 + (10 z^8)/a^2 + (5 z^9)/a^5 + (8 z^9)/a^3 + (3 z^9)/a +
   z^10/a^4 + z^10/a^2, 
 2 a^2 - 2 a^6 - a^8 + 1/(a z) + (2 a)/z + (3 a^3)/z + (3 a^5)/z + 
  a^7/z - (4 z)/a - 15 a z - 22 a^3 z - 14 a^5 z - 3 a^7 z - 2 z^2 + 
  z^2/a^2 - 10 a^2 z^2 - 5 a^4 z^2 + 5 a^6 z^2 + 3 a^8 z^2 - z^3/
  a^3 + (8 z^3)/a + 33 a z^3 + 44 a^3 z^3 + 27 a^5 z^3 + 7 a^7 z^3 + 
  6 z^4 - (5 z^4)/a^2 + 32 a^2 z^4 + 22 a^4 z^4 - 2 a^6 z^4 - 
  3 a^8 z^4 + z^5/a^3 - (13 z^5)/a - 30 a z^5 - 32 a^3 z^5 - 
  24 a^5 z^5 - 8 a^7 z^5 - 13 z^6 + (4 z^6)/a^2 - 40 a^2 z^6 - 
  30 a^4 z^6 - 6 a^6 z^6 + a^8 z^6 + (8 z^7)/a + 6 a z^7 - a^3 z^7 + 
  4 a^5 z^7 + 3 a^7 z^7 + 9 z^8 + 17 a^2 z^8 + 12 a^4 z^8 + 
  4 a^6 z^8 + 5 a z^9 + 8 a^3 z^9 + 3 a^5 z^9 + a^2 z^10 + 
  a^4 z^10, -(1/a^12) + 3/a^8 - 3/a^4 - 1/(a^9 z) - 1/(a^7 z) + 2/(
  a^5 z) + 2/(a^3 z) - z/a^11 - (2 z)/a^9 - (4 z)/a^7 - (10 z)/a^5 - (
  7 z)/a^3 + (4 z^2)/a^12 + (4 z^2)/a^10 - (6 z^2)/a^8 - (4 z^2)/
  a^6 + (2 z^2)/a^4 - z^3/a^13 + (7 z^3)/a^11 + (12 z^3)/a^9 + (
  15 z^3)/a^7 + (20 z^3)/a^5 + (9 z^3)/a^3 + z^4/a^14 - (9 z^4)/
  a^12 - (4 z^4)/a^10 + (19 z^4)/a^8 + (19 z^4)/a^6 + (6 z^4)/a^4 + (
  4 z^5)/a^13 - (16 z^5)/a^11 - (22 z^5)/a^9 - (8 z^5)/a^7 - (11 z^5)/
  a^5 - (5 z^5)/a^3 + (9 z^6)/a^12 - (10 z^6)/a^10 - (33 z^6)/a^8 - (
  21 z^6)/a^6 - (7 z^6)/a^4 + (12 z^7)/a^11 + (4 z^7)/a^9 - (11 z^7)/
  a^7 - (2 z^7)/a^5 + z^7/a^3 + (10 z^8)/a^10 + (13 z^8)/a^8 + (
  5 z^8)/a^6 + (2 z^8)/a^4 + (5 z^9)/a^9 + (7 z^9)/a^7 + (2 z^9)/a^5 +
   z^10/a^8 + z^10/a^6, 
 3/a^10 + 7/a^8 + 4/a^6 + 1/a^2 - 1/(a^9 z) - 2/(a^7 z) - 1/(a^5 z) - 
  1/(a^3 z) - 1/(a z) + (3 z)/a^9 + (8 z)/a^7 + (7 z)/a^5 + (5 z)/
  a^3 + (3 z)/a + z^2/a^12 - (10 z^2)/a^10 - (27 z^2)/a^8 - (17 z^2)/
  a^6 + z^2/a^2 + (4 z^3)/a^11 - (8 z^3)/a^9 - (20 z^3)/a^7 - (
  12 z^3)/a^5 - (7 z^3)/a^3 - (3 z^3)/a - (3 z^4)/a^12 + (19 z^4)/
  a^10 + (44 z^4)/a^8 + (23 z^4)/a^6 - (3 z^4)/a^4 - (4 z^4)/a^2 - (
  9 z^5)/a^11 + (14 z^5)/a^9 + (32 z^5)/a^7 + (8 z^5)/a^5 + z^5/a + 
  z^6/a^12 - (18 z^6)/a^10 - (28 z^6)/a^8 - (11 z^6)/a^6 + (2 z^6)/
  a^2 + (3 z^7)/a^11 - (13 z^7)/a^9 - (21 z^7)/a^7 - (3 z^7)/a^5 + (
  2 z^7)/a^3 + (5 z^8)/a^10 + (5 z^8)/a^8 + (2 z^8)/a^6 + (2 z^8)/
  a^4 + (4 z^9)/a^9 + (6 z^9)/a^7 + (2 z^9)/a^5 + z^10/a^8 + z^10/
  a^6, -3 a^8 + 3 a^12 - a^16 + (2 a^7)/z + (2 a^9)/z - a^11/z - a^13/
  z + a^5 z - 8 a^7 z - 8 a^9 z + 3 a^11 z + a^13 z - a^15 z + 
  a^6 z^2 + 8 a^8 z^2 - 3 a^10 z^2 - 14 a^12 z^2 - a^14 z^2 + 
  3 a^16 z^2 - 2 a^5 z^3 + 12 a^7 z^3 + 18 a^9 z^3 + 5 a^11 z^3 + 
  6 a^13 z^3 + 5 a^15 z^3 - 4 a^6 z^4 - 5 a^8 z^4 + 20 a^10 z^4 + 
  29 a^12 z^4 + 5 a^14 z^4 - 3 a^16 z^4 + a^5 z^5 - 11 a^7 z^5 - 
  19 a^9 z^5 - 11 a^11 z^5 - 11 a^13 z^5 - 7 a^15 z^5 + 3 a^6 z^6 - 
  4 a^8 z^6 - 30 a^10 z^6 - 34 a^12 z^6 - 10 a^14 z^6 + a^16 z^6 + 
  6 a^7 z^7 + 5 a^9 z^7 - 5 a^11 z^7 - a^13 z^7 + 3 a^15 z^7 + 
  6 a^8 z^8 + 14 a^10 z^8 + 13 a^12 z^8 + 5 a^14 z^8 + 4 a^9 z^9 + 
  8 a^11 z^9 + 4 a^13 z^9 + a^10 z^10 + a^12 z^10, 
 2 a^6 - 2 a^10 - a^12 + a^3/z + (2 a^5)/z + (3 a^7)/z + (3 a^9)/z + 
  a^11/z + a z - 5 a^3 z - 13 a^5 z - 15 a^7 z - 11 a^9 z - 3 a^11 z +
   a^2 z^2 - 6 a^4 z^2 - 18 a^6 z^2 - 12 a^8 z^2 + 2 a^10 z^2 + 
  3 a^12 z^2 - 2 a z^3 + 8 a^3 z^3 + 31 a^5 z^3 + 36 a^7 z^3 + 
  21 a^9 z^3 + 6 a^11 z^3 - 4 a^2 z^4 + 13 a^4 z^4 + 45 a^6 z^4 + 
  34 a^8 z^4 + 3 a^10 z^4 - 3 a^12 z^4 + a z^5 - 9 a^3 z^5 - 
  27 a^5 z^5 - 31 a^7 z^5 - 21 a^9 z^5 - 7 a^11 z^5 + 3 a^2 z^6 - 
  13 a^4 z^6 - 48 a^6 z^6 - 42 a^8 z^6 - 9 a^10 z^6 + a^12 z^6 + 
  6 a^3 z^7 + 5 a^5 z^7 - 2 a^7 z^7 + 2 a^9 z^7 + 3 a^11 z^7 + 
  8 a^4 z^8 + 19 a^6 z^8 + 16 a^8 z^8 + 5 a^10 z^8 + 5 a^5 z^9 + 
  9 a^7 z^9 + 4 a^9 z^9 + a^6 z^10 + a^8 z^10, -3 - 1/a^8 + 3/a^4 - 
  1/(a^5 z) - 1/(a^3 z) + 2/(a z) + (2 a)/z - (3 z)/a^7 - (3 z)/
  a^5 + (4 z)/a^3 - (3 z)/a - 7 a z + 4 z^2 - z^2/a^10 + (4 z^2)/
  a^8 - (23 z^2)/a^4 - (14 z^2)/a^2 - (2 z^3)/a^9 + (12 z^3)/a^7 + (
  22 z^3)/a^5 + z^3/a^3 + (2 z^3)/a + 9 a z^3 + 3 z^4 + z^4/a^10 - (
  6 z^4)/a^8 + (7 z^4)/a^6 + (49 z^4)/a^4 + (38 z^4)/a^2 + (3 z^5)/
  a^9 - (14 z^5)/a^7 - (25 z^5)/a^5 + z^5/a^3 + (4 z^5)/a - 5 a z^5 - 
  6 z^6 + (6 z^6)/a^8 - (14 z^6)/a^6 - (49 z^6)/a^4 - (35 z^6)/a^2 + (
  9 z^7)/a^7 + (2 z^7)/a^5 - (16 z^7)/a^3 - (8 z^7)/a + a z^7 + 
  2 z^8 + (9 z^8)/a^6 + (15 z^8)/a^4 + (8 z^8)/a^2 + (5 z^9)/a^5 + (
  8 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + z^10/a^2, 
 3/a^6 + 7/a^4 + 4/a^2 + a^2 - 1/(a^5 z) - 2/(a^3 z) - 1/(a z) - a/z -
   a^3/z - z/a^7 + (2 z)/a^5 + (10 z)/a^3 + (6 z)/a + 2 a z + 
  3 a^3 z + 3 z^2 + (2 z^2)/a^8 - (9 z^2)/a^6 - (30 z^2)/a^4 - (
  16 z^2)/a^2 + (5 z^3)/a^7 - z^3/a^5 - (18 z^3)/a^3 - (10 z^3)/a - 
  a z^3 - 3 a^3 z^3 - 5 z^4 - (3 z^4)/a^8 + (13 z^4)/a^6 + (46 z^4)/
  a^4 + (28 z^4)/a^2 - 3 a^2 z^4 - (8 z^5)/a^7 + z^5/a^5 + (20 z^5)/
  a^3 + (7 z^5)/a - 3 a z^5 + a^3 z^5 + z^6/a^8 - (14 z^6)/a^6 - (
  34 z^6)/a^4 - (21 z^6)/a^2 + 2 a^2 z^6 + (3 z^7)/a^7 - (7 z^7)/
  a^5 - (16 z^7)/a^3 - (3 z^7)/a + 3 a z^7 + 3 z^8 + (5 z^8)/a^6 + (
  9 z^8)/a^4 + (7 z^8)/a^2 + (4 z^9)/a^5 + (7 z^9)/a^3 + (3 z^9)/a + 
  z^10/a^4 + z^10/a^2, 
 2 a^6 - 2 a^10 - a^12 + a^3/z + (2 a^5)/z + (3 a^7)/z + (3 a^9)/z + 
  a^11/z + a z - 3 a^3 z - 11 a^5 z - 17 a^7 z - 13 a^9 z - 
  3 a^11 z + 2 a^2 z^2 - a^4 z^2 - 11 a^6 z^2 - 5 a^8 z^2 + 
  6 a^10 z^2 + 3 a^12 z^2 - 2 a z^3 + 4 a^3 z^3 + 20 a^5 z^3 + 
  31 a^7 z^3 + 24 a^9 z^3 + 7 a^11 z^3 - 5 a^2 z^4 + 5 a^4 z^4 + 
  27 a^6 z^4 + 17 a^8 z^4 - 3 a^10 z^4 - 3 a^12 z^4 + a z^5 - 
  7 a^3 z^5 - 15 a^5 z^5 - 21 a^7 z^5 - 22 a^9 z^5 - 8 a^11 z^5 + 
  3 a^2 z^6 - 8 a^4 z^6 - 29 a^6 z^6 - 25 a^8 z^6 - 6 a^10 z^6 + 
  a^12 z^6 + 5 a^3 z^7 + 2 a^5 z^7 - 3 a^7 z^7 + 3 a^9 z^7 + 
  3 a^11 z^7 + 6 a^4 z^8 + 12 a^6 z^8 + 10 a^8 z^8 + 4 a^10 z^8 + 
  4 a^5 z^9 + 7 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 3/(a^3 z) + 4/(a z) + (2 a)/
  z - (4 z)/a^5 - (16 z)/a^3 - (22 z)/a - 13 a z - 3 a^3 z - 13 z^2 + 
  z^2/a^6 - (5 z^2)/a^4 - (17 z^2)/a^2 - a^2 z^2 + a^4 z^2 - z^3/
  a^7 + (10 z^3)/a^5 + (34 z^3)/a^3 + (45 z^3)/a + 30 a z^3 + 
  8 a^3 z^3 + 37 z^4 - (4 z^4)/a^6 + (13 z^4)/a^4 + (45 z^4)/a^2 + 
  7 a^2 z^4 - 2 a^4 z^4 + z^5/a^7 - (13 z^5)/a^5 - (32 z^5)/a^3 - (
  36 z^5)/a - 27 a z^5 - 9 a^3 z^5 - 50 z^6 + (4 z^6)/a^6 - (18 z^6)/
  a^4 - (58 z^6)/a^2 - 13 a^2 z^6 + a^4 z^6 + (9 z^7)/a^5 + (4 z^7)/
  a^3 - (8 z^7)/a + a z^7 + 4 a^3 z^7 + 19 z^8 + (12 z^8)/a^4 + (
  24 z^8)/a^2 + 7 a^2 z^8 + (8 z^9)/a^3 + (14 z^9)/a + 6 a z^9 + 
  2 z^10 + (2 z^10)/a^2, 
 4/a^10 + 9/a^8 + 4/a^6 - 2/a^4 - 1/(a^9 z) - 1/(a^7 z) + 2/(a^5 z) + 
  2/(a^3 z) - (2 z)/a^9 - (9 z)/a^7 - (15 z)/a^5 - (7 z)/a^3 + z/a + 
  z^2/a^12 - (9 z^2)/a^10 - (25 z^2)/a^8 - (14 z^2)/a^6 + (2 z^2)/
  a^4 + z^2/a^2 + (4 z^3)/a^11 + (3 z^3)/a^9 + (19 z^3)/a^7 + (
  31 z^3)/a^5 + (9 z^3)/a^3 - (2 z^3)/a - (2 z^4)/a^12 + (16 z^4)/
  a^10 + (44 z^4)/a^8 + (37 z^4)/a^6 + (7 z^4)/a^4 - (4 z^4)/a^2 - (
  8 z^5)/a^11 - (3 z^5)/a^9 - (8 z^5)/a^7 - (23 z^5)/a^5 - (9 z^5)/
  a^3 + z^5/a + z^6/a^12 - (19 z^6)/a^10 - (48 z^6)/a^8 - (42 z^6)/
  a^6 - (11 z^6)/a^4 + (3 z^6)/a^2 + (4 z^7)/a^11 - (9 z^7)/a^9 - (
  17 z^7)/a^7 + (2 z^7)/a^5 + (6 z^7)/a^3 + (8 z^8)/a^10 + (16 z^8)/
  a^8 + (16 z^8)/a^6 + (8 z^8)/a^4 + (7 z^9)/a^9 + (13 z^9)/a^7 + (
  6 z^9)/a^5 + (2 z^10)/a^8 + (2 z^10)/a^6, 
 1 + 3 a^2 + 2 a^4 + a^6 + 1/(a z) + (3 a)/z + (4 a^3)/z + (2 a^5)/z +
   z/a^3 - (3 z)/a - 16 a z - 25 a^3 z - 16 a^5 z - 3 a^7 z - 
  5 z^2 + (2 z^2)/a^2 - 17 a^2 z^2 - 12 a^4 z^2 - a^6 z^2 + 
  a^8 z^2 - (2 z^3)/a^3 + (4 z^3)/a + 30 a z^3 + 52 a^3 z^3 + 
  36 a^5 z^3 + 8 a^7 z^3 + 7 z^4 - (5 z^4)/a^2 + 41 a^2 z^4 + 
  35 a^4 z^4 + 4 a^6 z^4 - 2 a^8 z^4 + z^5/a^3 - (7 z^5)/a - 
  22 a z^5 - 37 a^3 z^5 - 33 a^5 z^5 - 10 a^7 z^5 - 8 z^6 + (3 z^6)/
  a^2 - 40 a^2 z^6 - 42 a^4 z^6 - 12 a^6 z^6 + a^8 z^6 + (5 z^7)/a + 
  4 a z^7 - a^3 z^7 + 4 a^5 z^7 + 4 a^7 z^7 + 6 z^8 + 15 a^2 z^8 + 
  15 a^4 z^8 + 6 a^6 z^8 + 4 a z^9 + 8 a^3 z^9 + 4 a^5 z^9 + 
  a^2 z^10 + a^4 z^10, -1 - 2/a^8 - 1/a^6 + 6/a^4 + 5/a^2 - 2/(
  a^5 z) - 4/(a^3 z) - 1/(a z) + a/z - z/a^7 + (5 z)/a^5 + (17 z)/
  a^3 + (6 z)/a - 5 a z + z^2 - z^2/a^10 + (6 z^2)/a^8 + (4 z^2)/
  a^6 - (27 z^2)/a^4 - (23 z^2)/a^2 - (2 z^3)/a^9 + (5 z^3)/a^7 - (
  2 z^3)/a^5 - (27 z^3)/a^3 - (10 z^3)/a + 8 a z^3 + 5 z^4 + z^4/
  a^10 - (8 z^4)/a^8 - (2 z^4)/a^6 + (44 z^4)/a^4 + (42 z^4)/a^2 + (
  3 z^5)/a^9 - (9 z^5)/a^7 - (3 z^5)/a^5 + (27 z^5)/a^3 + (13 z^5)/
  a - 5 a z^5 - 7 z^6 + (6 z^6)/a^8 - (6 z^6)/a^6 - (35 z^6)/a^4 - (
  30 z^6)/a^2 + (7 z^7)/a^7 - (3 z^7)/a^5 - (22 z^7)/a^3 - (11 z^7)/
  a + a z^7 + 2 z^8 + (6 z^8)/a^6 + (9 z^8)/a^4 + (5 z^8)/a^2 + (
  4 z^9)/a^5 + (7 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + z^10/a^2, -2 + 4/
  a^6 + 9/a^4 + 4/a^2 - 1/(a^5 z) - 1/(a^3 z) + 2/(a z) + (2 a)/z - z/
  a^7 - z/a^5 - z/a^3 - (10 z)/a - 8 a z + a^3 z + 5 z^2 + (2 z^2)/
  a^8 - (11 z^2)/a^6 - (36 z^2)/a^4 - (19 z^2)/a^2 + a^2 z^2 + (
  5 z^3)/a^7 + (6 z^3)/a^5 + (7 z^3)/a^3 + (19 z^3)/a + 11 a z^3 - 
  2 a^3 z^3 - 4 z^4 - (3 z^4)/a^8 + (15 z^4)/a^6 + (56 z^4)/a^4 + (
  38 z^4)/a^2 - 4 a^2 z^4 - (8 z^5)/a^7 - (4 z^5)/a^5 - z^5/a^3 - (
  17 z^5)/a - 11 a z^5 + a^3 z^5 - 5 z^6 + z^6/a^8 - (14 z^6)/a^6 - (
  42 z^6)/a^4 - (35 z^6)/a^2 + 3 a^2 z^6 + (3 z^7)/a^7 - (5 z^7)/
  a^5 - (11 z^7)/a^3 + (3 z^7)/a + 6 a z^7 + 6 z^8 + (5 z^8)/a^6 + (
  12 z^8)/a^4 + (13 z^8)/a^2 + (4 z^9)/a^5 + (8 z^9)/a^3 + (4 z^9)/a +
   z^10/a^4 + z^10/a^2, 
 7 a^10 + 7 a^12 + a^18 - (4 a^9)/z - (7 a^11)/z - (3 a^13)/z - 
  3 a^7 z + 16 a^9 z + 31 a^11 z + 12 a^13 z - a^8 z^2 - 
  26 a^10 z^2 - 29 a^12 z^2 - a^14 z^2 + a^16 z^2 - 2 a^18 z^2 + 
  7 a^7 z^3 - 24 a^9 z^3 - 53 a^11 z^3 - 20 a^13 z^3 - 2 a^17 z^3 + 
  7 a^8 z^4 + 39 a^10 z^4 + 39 a^12 z^4 + 3 a^14 z^4 - 3 a^16 z^4 + 
  a^18 z^4 - 5 a^7 z^5 + 23 a^9 z^5 + 49 a^11 z^5 + 17 a^13 z^5 - 
  2 a^15 z^5 + 2 a^17 z^5 - 8 a^8 z^6 - 23 a^10 z^6 - 22 a^12 z^6 - 
  4 a^14 z^6 + 3 a^16 z^6 + a^7 z^7 - 14 a^9 z^7 - 27 a^11 z^7 - 
  9 a^13 z^7 + 3 a^15 z^7 + 2 a^8 z^8 + 2 a^10 z^8 + 3 a^12 z^8 + 
  3 a^14 z^8 + 3 a^9 z^9 + 6 a^11 z^9 + 3 a^13 z^9 + a^10 z^10 + 
  a^12 z^10, -a^8 + 5 a^10 + 6 a^12 - a^14 - 2 a^16 + a^7/z - a^9/
  z - (4 a^11)/z - (2 a^13)/z + a^5 z - 6 a^7 z + a^9 z + 16 a^11 z + 
  9 a^13 z + a^15 z + a^6 z^2 + 3 a^8 z^2 - 18 a^10 z^2 - 
  24 a^12 z^2 + a^14 z^2 + 5 a^16 z^2 - 2 a^5 z^3 + 10 a^7 z^3 + 
  3 a^9 z^3 - 22 a^11 z^3 - 11 a^13 z^3 + 2 a^15 z^3 - 4 a^6 z^4 - 
  2 a^8 z^4 + 28 a^10 z^4 + 32 a^12 z^4 + 2 a^14 z^4 - 4 a^16 z^4 + 
  a^5 z^5 - 11 a^7 z^5 - 6 a^9 z^5 + 17 a^11 z^5 + 6 a^13 z^5 - 
  5 a^15 z^5 + 3 a^6 z^6 - 6 a^8 z^6 - 25 a^10 z^6 - 23 a^12 z^6 - 
  6 a^14 z^6 + a^16 z^6 + 6 a^7 z^7 - 13 a^11 z^7 - 5 a^13 z^7 + 
  2 a^15 z^7 + 6 a^8 z^8 + 10 a^10 z^8 + 7 a^12 z^8 + 3 a^14 z^8 + 
  4 a^9 z^9 + 7 a^11 z^9 + 3 a^13 z^9 + a^10 z^10 + 
  a^12 z^10, -(1/a^4) - 2/a^2 + 2 a^2 + 1/(a^3 z) + 3/(a z) + (3 a)/
  z + (2 a^3)/z + a^5/z + z/a^5 - z/a^3 - (13 z)/a - 18 a z - 
  11 a^3 z - 4 a^5 z - 6 z^2 - z^2/a^6 + (3 z^2)/a^4 + (8 z^2)/a^2 - 
  14 a^2 z^2 - 4 a^4 z^2 - (3 z^3)/a^5 + z^3/a^3 + (23 z^3)/a + 
  35 a z^3 + 22 a^3 z^3 + 6 a^5 z^3 + 27 z^4 + z^4/a^6 - (5 z^4)/
  a^4 - (5 z^4)/a^2 + 38 a^2 z^4 + 12 a^4 z^4 + (3 z^5)/a^5 - (5 z^5)/
  a^3 - (19 z^5)/a - 18 a z^5 - 11 a^3 z^5 - 4 a^5 z^5 - 35 z^6 + (
  5 z^6)/a^4 - (5 z^6)/a^2 - 36 a^2 z^6 - 11 a^4 z^6 + (6 z^7)/a^3 + 
  z^7/a - 11 a z^7 - 5 a^3 z^7 + a^5 z^7 + 11 z^8 + (6 z^8)/a^2 + 
  8 a^2 z^8 + 3 a^4 z^8 + (4 z^9)/a + 7 a z^9 + 3 a^3 z^9 + z^10 + 
  a^2 z^10, -3 a^8 + 3 a^12 - a^16 + (2 a^7)/z + (2 a^9)/z - a^11/z - 
  a^13/z + 2 a^5 z - 6 a^7 z - 8 a^9 z + a^11 z - a^15 z + a^6 z^2 + 
  6 a^8 z^2 - 5 a^10 z^2 - 12 a^12 z^2 + a^14 z^2 + 3 a^16 z^2 - 
  3 a^5 z^3 + 6 a^7 z^3 + 7 a^9 z^3 - a^11 z^3 + 6 a^13 z^3 + 
  5 a^15 z^3 - 4 a^6 z^4 - 2 a^8 z^4 + 21 a^10 z^4 + 22 a^12 z^4 - 
  3 a^16 z^4 + a^5 z^5 - 6 a^7 z^5 + 4 a^9 z^5 + 10 a^11 z^5 - 
  9 a^13 z^5 - 8 a^15 z^5 + 2 a^6 z^6 - 3 a^8 z^6 - 17 a^10 z^6 - 
  21 a^12 z^6 - 8 a^14 z^6 + a^16 z^6 + 3 a^7 z^7 - 5 a^9 z^7 - 
  13 a^11 z^7 - 2 a^13 z^7 + 3 a^15 z^7 + 3 a^8 z^8 + 5 a^10 z^8 + 
  6 a^12 z^8 + 4 a^14 z^8 + 3 a^9 z^9 + 6 a^11 z^9 + 3 a^13 z^9 + 
  a^10 z^10 + a^12 z^10, 
 a^6 + 4 a^10 + 7 a^12 + 3 a^14 - a^5/z - a^7/z - a^9/z - (2 a^11)/z -
   a^13/z - a^3 z + 3 a^5 z + 4 a^7 z + 5 a^9 z + 8 a^11 z + 
  3 a^13 z - a^4 z^2 - a^6 z^2 - 18 a^10 z^2 - 28 a^12 z^2 - 
  10 a^14 z^2 + a^3 z^3 - 3 a^5 z^3 - 4 a^7 z^3 - 13 a^9 z^3 - 
  23 a^11 z^3 - 10 a^13 z^3 + 2 a^4 z^4 - 2 a^6 z^4 + 31 a^10 z^4 + 
  39 a^12 z^4 + 12 a^14 z^4 + 3 a^5 z^5 - 3 a^7 z^5 + 14 a^9 z^5 + 
  38 a^11 z^5 + 18 a^13 z^5 + 3 a^6 z^6 - 6 a^8 z^6 - 19 a^10 z^6 - 
  16 a^12 z^6 - 6 a^14 z^6 + 3 a^7 z^7 - 11 a^9 z^7 - 25 a^11 z^7 - 
  11 a^13 z^7 + 3 a^8 z^8 + a^10 z^8 - a^12 z^8 + a^14 z^8 + 
  3 a^9 z^9 + 5 a^11 z^9 + 2 a^13 z^9 + a^10 z^10 + a^12 z^10, -2 - 
  3 a^2 - 3 a^4 - a^6 + 2/(a z) + (4 a)/z + (3 a^3)/z + a^5/z - (2 z)/
  a^3 - (11 z)/a - 21 a z - 15 a^3 z - 2 a^5 z + a^7 z - 3 z^2 + z^2/
  a^4 + 2 a^2 z^2 + 7 a^4 z^2 + 3 a^6 z^2 + (8 z^3)/a^3 + (28 z^3)/
  a + 43 a z^3 + 28 a^3 z^3 + 3 a^5 z^3 - 2 a^7 z^3 + 23 z^4 - (
  2 z^4)/a^4 + (5 z^4)/a^2 + 19 a^2 z^4 - 2 a^4 z^4 - 5 a^6 z^4 - (
  10 z^5)/a^3 - (29 z^5)/a - 36 a z^5 - 24 a^3 z^5 - 6 a^5 z^5 + 
  a^7 z^5 - 37 z^6 + z^6/a^4 - (12 z^6)/a^2 - 32 a^2 z^6 - 
  5 a^4 z^6 + 3 a^6 z^6 + (4 z^7)/a^3 + (4 z^7)/a + a z^7 + 
  6 a^3 z^7 + 5 a^5 z^7 + 15 z^8 + (6 z^8)/a^2 + 15 a^2 z^8 + 
  6 a^4 z^8 + (4 z^9)/a + 8 a z^9 + 4 a^3 z^9 + z^10 + a^2 z^10, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 2/(a^3 z) + 1/(a z) - a/z - 
  a^3/z - (2 z)/a^7 - (9 z)/a^5 - (17 z)/a^3 - (10 z)/a + 3 a z + 
  3 a^3 z - 7 z^2 + z^2/a^8 - z^2/a^6 - (7 z^2)/a^4 - (12 z^2)/a^2 + (
  7 z^3)/a^7 + (24 z^3)/a^5 + (36 z^3)/a^3 + (19 z^3)/a - 3 a z^3 - 
  3 a^3 z^3 + 7 z^4 - (2 z^4)/a^8 + (5 z^4)/a^6 + (26 z^4)/a^4 + (
  29 z^4)/a^2 - 3 a^2 z^4 - (10 z^5)/a^7 - (24 z^5)/a^5 - (23 z^5)/
  a^3 - (12 z^5)/a - 2 a z^5 + a^3 z^5 - 5 z^6 + z^6/a^8 - (13 z^6)/
  a^6 - (34 z^6)/a^4 - (27 z^6)/a^2 + 2 a^2 z^6 + (4 z^7)/a^7 + z^7/
  a^5 - (4 z^7)/a^3 + (2 z^7)/a + 3 a z^7 + 4 z^8 + (6 z^8)/a^6 + (
  12 z^8)/a^4 + (10 z^8)/a^2 + (4 z^9)/a^5 + (7 z^9)/a^3 + (3 z^9)/a +
   z^10/a^4 + z^10/a^2, -7 - 1/a^4 - 4/a^2 - 4 a^2 - a^4 + 1/(
  a^3 z) + 4/(a z) + (4 a)/z + a^3/z - (2 z)/a^5 - (10 z)/a^3 - (
  19 z)/a - 15 a z - 4 a^3 z + 14 z^2 + (3 z^2)/a^6 + (9 z^2)/a^4 + (
  13 z^2)/a^2 + 10 a^2 z^2 + 3 a^4 z^2 - z^3/a^7 + (6 z^3)/a^5 + (
  26 z^3)/a^3 + (40 z^3)/a + 29 a z^3 + 8 a^3 z^3 - z^4 - (6 z^4)/
  a^6 - (10 z^4)/a^4 - (3 z^4)/a^2 - 5 a^2 z^4 - 3 a^4 z^4 + z^5/
  a^7 - (10 z^5)/a^5 - (31 z^5)/a^3 - (38 z^5)/a - 26 a z^5 - 
  8 a^3 z^5 - 20 z^6 + (4 z^6)/a^6 - (3 z^6)/a^4 - (21 z^6)/a^2 - 
  5 a^2 z^6 + a^4 z^6 + (7 z^7)/a^5 + (10 z^7)/a^3 + (5 z^7)/a + 
  5 a z^7 + 3 a^3 z^7 + 11 z^8 + (7 z^8)/a^4 + (14 z^8)/a^2 + 
  4 a^2 z^8 + (4 z^9)/a^3 + (7 z^9)/a + 3 a z^9 + z^10 + z^10/a^2, 
 2 a^2 - 2 a^6 - a^8 + 1/(a z) + (2 a)/z + (3 a^3)/z + (3 a^5)/z + 
  a^7/z - (2 z)/a - 9 a z - 16 a^3 z - 12 a^5 z - 3 a^7 z - 3 z^2 - 
  11 a^2 z^2 - 8 a^4 z^2 + 3 a^6 z^2 + 3 a^8 z^2 + (6 z^3)/a + 
  24 a z^3 + 33 a^3 z^3 + 21 a^5 z^3 + 6 a^7 z^3 + 9 z^4 - (3 z^4)/
  a^2 + 39 a^2 z^4 + 32 a^4 z^4 + 2 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (
  16 z^5)/a - 32 a z^5 - 23 a^3 z^5 - 15 a^5 z^5 - 7 a^7 z^5 - 
  22 z^6 + (5 z^6)/a^2 - 58 a^2 z^6 - 40 a^4 z^6 - 8 a^6 z^6 + 
  a^8 z^6 + (12 z^7)/a + 4 a z^7 - 12 a^3 z^7 - a^5 z^7 + 3 a^7 z^7 + 
  15 z^8 + 25 a^2 z^8 + 15 a^4 z^8 + 5 a^6 z^8 + 9 a z^9 + 
  14 a^3 z^9 + 5 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, -2 - 3 a^2 - 
  3 a^4 - a^6 + 2/(a z) + (4 a)/z + (3 a^3)/z + a^5/z - (4 z)/a^3 - (
  13 z)/a - 19 a z - 13 a^3 z - 2 a^5 z + a^7 z + 3 z^2 + (2 z^2)/
  a^4 + (2 z^2)/a^2 + 8 a^2 z^2 + 8 a^4 z^2 + 3 a^6 z^2 + (9 z^3)/
  a^3 + (24 z^3)/a + 33 a z^3 + 24 a^3 z^3 + 4 a^5 z^3 - 2 a^7 z^3 + 
  7 z^4 - (3 z^4)/a^4 + (2 z^4)/a^2 - 7 a^4 z^4 - 5 a^6 z^4 - (9 z^5)/
  a^3 - (18 z^5)/a - 24 a z^5 - 23 a^3 z^5 - 7 a^5 z^5 + a^7 z^5 - 
  18 z^6 + z^6/a^4 - (8 z^6)/a^2 - 14 a^2 z^6 - 2 a^4 z^6 + 
  3 a^6 z^6 + (3 z^7)/a^3 + z^7/a + 7 a^3 z^7 + 5 a^5 z^7 + 8 z^8 + (
  4 z^8)/a^2 + 9 a^2 z^8 + 5 a^4 z^8 + (3 z^9)/a + 6 a z^9 + 
  3 a^3 z^9 + z^10 + a^2 z^10, 
 2 + 1/a^2 + 3 a^2 + a^4 - 1/(a^3 z) - 1/(a z) + a/z + (2 a^3)/z + 
  a^5/z + (2 z)/a^5 + (5 z)/a^3 + (3 z)/a - 8 a z - 13 a^3 z - 
  5 a^5 z - 5 z^2 - z^2/a^6 - 8 a^2 z^2 - 4 a^4 z^2 - (4 z^3)/a^5 - (
  7 z^3)/a^3 - (2 z^3)/a + 13 a z^3 + 20 a^3 z^3 + 8 a^5 z^3 + 
  12 z^4 + z^4/a^6 - (3 z^4)/a^4 - z^4/a^2 + 18 a^2 z^4 + 
  9 a^4 z^4 + (3 z^5)/a^5 - 8 a^3 z^5 - 5 a^5 z^5 - 15 z^6 + (4 z^6)/
  a^4 - (3 z^6)/a^2 - 16 a^2 z^6 - 8 a^4 z^6 + (4 z^7)/a^3 - (3 z^7)/
  a - 12 a z^7 - 4 a^3 z^7 + a^5 z^7 + 4 z^8 + (4 z^8)/a^2 + 
  2 a^2 z^8 + 2 a^4 z^8 + (3 z^9)/a + 5 a z^9 + 2 a^3 z^9 + z^10 + 
  a^2 z^10, 
 2 + 1/a^2 + 3 a^2 + a^4 + 2/(a z) + (4 a)/z + (3 a^3)/z + a^5/z - (
  7 z)/a^3 - (21 z)/a - 26 a z - 16 a^3 z - 4 a^5 z - 10 z^2 + (
  3 z^2)/a^4 + z^2/a^2 - 14 a^2 z^2 - 6 a^4 z^2 + (18 z^3)/a^3 + (
  49 z^3)/a + 49 a z^3 + 24 a^3 z^3 + 6 a^5 z^3 + 46 z^4 + z^4/a^6 - (
  7 z^4)/a^4 + (8 z^4)/a^2 + 42 a^2 z^4 + 12 a^4 z^4 + (4 z^5)/a^5 - (
  26 z^5)/a^3 - (50 z^5)/a - 24 a z^5 - 8 a^3 z^5 - 4 a^5 z^5 - 
  67 z^6 + (10 z^6)/a^4 - (26 z^6)/a^2 - 41 a^2 z^6 - 10 a^4 z^6 + (
  17 z^7)/a^3 + (5 z^7)/a - 20 a z^7 - 7 a^3 z^7 + a^5 z^7 + 
  23 z^8 + (17 z^8)/a^2 + 9 a^2 z^8 + 3 a^4 z^8 + (9 z^9)/a + 
  13 a z^9 + 4 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z - (2 z)/a - a z + 
  3 a^3 z + 2 a^5 z + 3 z^2 + (2 z^2)/a^2 - a^2 z^2 - 5 a^4 z^2 - 
  2 a^6 z^2 + a^8 z^2 - z^3/a^3 + (8 z^3)/a + 13 a z^3 - a^3 z^3 + 
  5 a^7 z^3 - z^4 - (5 z^4)/a^2 + 10 a^2 z^4 + 19 a^4 z^4 + 
  11 a^6 z^4 - 2 a^8 z^4 + z^5/a^3 - (12 z^5)/a - 20 a z^5 - 
  2 a^5 z^5 - 9 a^7 z^5 - 9 z^6 + (4 z^6)/a^2 - 27 a^2 z^6 - 
  31 a^4 z^6 - 16 a^6 z^6 + a^8 z^6 + (8 z^7)/a + 4 a z^7 - 
  15 a^3 z^7 - 7 a^5 z^7 + 4 a^7 z^7 + 9 z^8 + 14 a^2 z^8 + 
  12 a^4 z^8 + 7 a^6 z^8 + 6 a z^9 + 12 a^3 z^9 + 6 a^5 z^9 + 
  2 a^2 z^10 + 2 a^4 z^10, 
 2 + 1/a^2 + 3 a^2 + a^4 - 1/(a^3 z) - 1/(a z) + a/z + (2 a^3)/z + 
  a^5/z + z/a^3 - z/a - 12 a z - 15 a^3 z - 5 a^5 z - 10 z^2 - (
  2 z^2)/a^2 - 12 a^2 z^2 - 3 a^4 z^2 + a^6 z^2 + (5 z^3)/a^3 + (
  18 z^3)/a + 36 a z^3 + 35 a^3 z^3 + 11 a^5 z^3 - a^7 z^3 + 35 z^4 - 
  z^4/a^4 + (11 z^4)/a^2 + 36 a^2 z^4 + 9 a^4 z^4 - 4 a^6 z^4 - (
  10 z^5)/a^3 - (22 z^5)/a - 32 a z^5 - 35 a^3 z^5 - 14 a^5 z^5 + 
  a^7 z^5 - 52 z^6 + z^6/a^4 - (19 z^6)/a^2 - 51 a^2 z^6 - 
  15 a^4 z^6 + 4 a^6 z^6 + (5 z^7)/a^3 - (2 z^7)/a - 9 a z^7 + 
  7 a^3 z^7 + 9 a^5 z^7 + 20 z^8 + (9 z^8)/a^2 + 22 a^2 z^8 + 
  11 a^4 z^8 + (7 z^9)/a + 14 a z^9 + 7 a^3 z^9 + 2 z^10 + 
  2 a^2 z^10, -1 - 1/(a^3 z) - 2/(a z) - (2 a)/z - a^3/z + (5 z)/
  a^3 + (12 z)/a + 8 a z + a^3 z - z^2 - (4 z^2)/a^4 - (5 z^2)/a^2 + 
  a^2 z^2 + a^4 z^2 + (4 z^3)/a^5 - (14 z^3)/a^3 - (29 z^3)/a - 
  3 a z^3 + 6 a^3 z^3 - 2 a^5 z^3 + 14 z^4 + (14 z^4)/a^4 + (16 z^4)/
  a^2 + 4 a^2 z^4 - 7 a^4 z^4 + a^6 z^4 - (4 z^5)/a^5 + (20 z^5)/
  a^3 + (37 z^5)/a - 6 a z^5 - 15 a^3 z^5 + 4 a^5 z^5 - 24 z^6 - (
  12 z^6)/a^4 - (14 z^6)/a^2 - 14 a^2 z^6 + 8 a^4 z^6 + z^7/a^5 - (
  15 z^7)/a^3 - (31 z^7)/a - 4 a z^7 + 11 a^3 z^7 + 7 z^8 + (3 z^8)/
  a^4 + 10 a^2 z^8 + (4 z^9)/a^3 + (10 z^9)/a + 6 a z^9 + 2 z^10 + (
  2 z^10)/a^2, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 2/(a^3 z) + 1/(a z) - a/z - 
  a^3/z - (5 z)/a^5 - (13 z)/a^3 - (10 z)/a - 3 a z - a^3 z - 
  2 z^2 - (4 z^2)/a^4 - (6 z^2)/a^2 + a^2 z^2 + a^4 z^2 - z^3/a^7 + (
  10 z^3)/a^5 + (23 z^3)/a^3 + (18 z^3)/a + 14 a z^3 + 8 a^3 z^3 + 
  13 z^4 - (4 z^4)/a^6 + (14 z^4)/a^4 + (26 z^4)/a^2 + 3 a^2 z^4 - 
  2 a^4 z^4 + z^5/a^7 - (15 z^5)/a^5 - (19 z^5)/a^3 - (9 z^5)/a - 
  16 a z^5 - 10 a^3 z^5 - 27 z^6 + (4 z^6)/a^6 - (19 z^6)/a^4 - (
  38 z^6)/a^2 - 11 a^2 z^6 + a^4 z^6 + (9 z^7)/a^5 - (14 z^7)/a - 
  a z^7 + 4 a^3 z^7 + 11 z^8 + (11 z^8)/a^4 + (16 z^8)/a^2 + 
  6 a^2 z^8 + (7 z^9)/a^3 + (12 z^9)/a + 5 a z^9 + 2 z^10 + (2 z^10)/
  a^2, -1 + 1/(a z) + a/z - (2 z)/a^3 - (6 z)/a - 6 a z - 2 a^3 z - 
  5 z^2 - (3 z^2)/a^2 - a^2 z^2 + a^4 z^2 + (5 z^3)/a^5 + (16 z^3)/
  a^3 + (22 z^3)/a + 18 a z^3 + 7 a^3 z^3 + 30 z^4 - (4 z^4)/a^6 + (
  5 z^4)/a^4 + (29 z^4)/a^2 + 8 a^2 z^4 - 2 a^4 z^4 + z^5/a^7 - (
  15 z^5)/a^5 - (28 z^5)/a^3 - (20 z^5)/a - 17 a z^5 - 9 a^3 z^5 - 
  44 z^6 + (5 z^6)/a^6 - (17 z^6)/a^4 - (51 z^6)/a^2 - 14 a^2 z^6 + 
  a^4 z^6 + (11 z^7)/a^5 + (5 z^7)/a^3 - (12 z^7)/a - 2 a z^7 + 
  4 a^3 z^7 + 17 z^8 + (13 z^8)/a^4 + (23 z^8)/a^2 + 7 a^2 z^8 + (
  8 z^9)/a^3 + (14 z^9)/a + 6 a z^9 + 2 z^10 + (2 z^10)/a^2, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 2/(a^3 z) + 1/(a z) - a/z - 
  a^3/z - (5 z)/a^5 - (11 z)/a^3 - (4 z)/a + 3 a z + a^3 z - 9 z^2 - (
  8 z^2)/a^4 - (15 z^2)/a^2 - 2 a^2 z^2 - (2 z^3)/a^7 + (12 z^3)/
  a^5 + (15 z^3)/a^3 - (8 z^3)/a - 3 a z^3 + 6 a^3 z^3 + 19 z^4 - (
  5 z^4)/a^6 + (19 z^4)/a^4 + (31 z^4)/a^2 + 10 a^2 z^4 - 2 a^4 z^4 + 
  z^5/a^7 - (14 z^5)/a^5 - z^5/a^3 + (29 z^5)/a + 4 a z^5 - 
  11 a^3 z^5 - 19 z^6 + (3 z^6)/a^6 - (17 z^6)/a^4 - (22 z^6)/a^2 - 
  16 a^2 z^6 + a^4 z^6 + (6 z^7)/a^5 - (7 z^7)/a^3 - (27 z^7)/a - 
  10 a z^7 + 4 a^3 z^7 + 4 z^8 + (7 z^8)/a^4 + (5 z^8)/a^2 + 
  6 a^2 z^8 + (5 z^9)/a^3 + (10 z^9)/a + 5 a z^9 + 2 z^10 + (2 z^10)/
  a^2, -1 + 1/(a z) + a/z + (4 z)/a^3 + (8 z)/a + 4 a z - 5 z^2 + (
  2 z^2)/a^6 - (5 z^2)/a^2 - a^2 z^2 + a^4 z^2 - (2 z^3)/a^7 + (
  4 z^3)/a^5 - (16 z^3)/a^3 - (44 z^3)/a - 16 a z^3 + 6 a^3 z^3 + 
  10 z^4 - (7 z^4)/a^6 + (6 z^4)/a^4 + (11 z^4)/a^2 + 9 a^2 z^4 - 
  3 a^4 z^4 + z^5/a^7 - (9 z^5)/a^5 + (24 z^5)/a^3 + (65 z^5)/a + 
  21 a z^5 - 10 a^3 z^5 - 2 z^6 + (3 z^6)/a^6 - (9 z^6)/a^4 - 
  13 a^2 z^6 + a^4 z^6 + (4 z^7)/a^5 - (14 z^7)/a^3 - (36 z^7)/a - 
  15 a z^7 + 3 a^3 z^7 - 4 z^8 + (4 z^8)/a^4 - (4 z^8)/a^2 + 
  4 a^2 z^8 + (4 z^9)/a^3 + (8 z^9)/a + 4 a z^9 + 2 z^10 + (2 z^10)/
  a^2, -2 - 1/a^6 - 3/a^4 - 3/a^2 + 1/(a^5 z) + 3/(a^3 z) + 4/(
  a z) + (2 a)/z + z/a^7 - (2 z)/a^5 - (9 z)/a^3 - (7 z)/a - a z - 
  3 z^2 + (5 z^2)/a^6 + (8 z^2)/a^4 + (2 z^2)/a^2 - 2 a^2 z^2 + z^3/
  a^9 - (4 z^3)/a^7 + (9 z^3)/a^5 + (16 z^3)/a^3 - (16 z^3)/a - 
  18 a z^3 + 9 z^4 + (3 z^4)/a^8 - (13 z^4)/a^6 - z^4/a^4 + (17 z^4)/
  a^2 + 7 a^2 z^4 + (6 z^5)/a^7 - (20 z^5)/a^5 - (9 z^5)/a^3 + (
  48 z^5)/a + 31 a z^5 + 2 z^6 + (9 z^6)/a^6 - (16 z^6)/a^4 - (
  18 z^6)/a^2 - 5 a^2 z^6 + (10 z^7)/a^5 - (9 z^7)/a^3 - (36 z^7)/a - 
  17 a z^7 - 7 z^8 + (8 z^8)/a^4 + a^2 z^8 + (5 z^9)/a^3 + (8 z^9)/
  a + 3 a z^9 + 2 z^10 + (2 z^10)/a^2, -7 - 1/a^4 - 4/a^2 - 4 a^2 - 
  a^4 + 1/(a^3 z) + 4/(a z) + (4 a)/z + a^3/z - (2 z)/a^3 - (11 z)/
  a - 15 a z - 6 a^3 z + 11 z^2 - z^2/a^4 + (3 z^2)/a^2 + 
  12 a^2 z^2 + 4 a^4 z^2 - a^6 z^2 + (2 z^3)/a^5 - (3 z^3)/a^3 + (
  7 z^3)/a + 29 a z^3 + 15 a^3 z^3 - 2 a^5 z^3 + 4 z^4 + (15 z^4)/
  a^4 + (18 z^4)/a^2 - 6 a^2 z^4 - 6 a^4 z^4 + a^6 z^4 - (3 z^5)/a^5 +
   (16 z^5)/a^3 + (11 z^5)/a - 26 a z^5 - 15 a^3 z^5 + 3 a^5 z^5 - 
  22 z^6 - (15 z^6)/a^4 - (23 z^6)/a^2 - 8 a^2 z^6 + 6 a^4 z^6 + z^7/
  a^5 - (17 z^7)/a^3 - (25 z^7)/a + 2 a z^7 + 9 a^3 z^7 + 7 z^8 + (
  4 z^8)/a^4 + (3 z^8)/a^2 + 8 a^2 z^8 + (5 z^9)/a^3 + (10 z^9)/a + 
  5 a z^9 + 2 z^10 + (2 z^10)/a^2, -1 + 1/(a z) + a/z + (2 z)/a^3 + (
  2 z)/a - 2 a z - 2 a^3 z - 6 z^2 - (4 z^2)/a^4 - (8 z^2)/a^2 + 
  2 a^4 z^2 - z^3/a^7 + (3 z^3)/a^5 - (6 z^3)/a^3 - (18 z^3)/a - 
  a z^3 + 7 a^3 z^3 + 17 z^4 - (6 z^4)/a^6 + (12 z^4)/a^4 + (29 z^4)/
  a^2 + 3 a^2 z^4 - 3 a^4 z^4 + z^5/a^7 - (12 z^5)/a^5 + (11 z^5)/
  a^3 + (37 z^5)/a + 4 a z^5 - 9 a^3 z^5 - 14 z^6 + (4 z^6)/a^6 - (
  16 z^6)/a^4 - (24 z^6)/a^2 - 9 a^2 z^6 + a^4 z^6 + (7 z^7)/a^5 - (
  11 z^7)/a^3 - (29 z^7)/a - 8 a z^7 + 3 a^3 z^7 + 2 z^8 + (8 z^8)/
  a^4 + (6 z^8)/a^2 + 4 a^2 z^8 + (6 z^9)/a^3 + (10 z^9)/a + 
  4 a z^9 + 2 z^10 + (2 z^10)/a^2, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 3/(a^3 z) + 4/(a z) + (2 a)/
  z - (4 z)/a^5 - (18 z)/a^3 - (26 z)/a - 15 a z - 3 a^3 z - 14 z^2 + 
  z^2/a^6 - (4 z^2)/a^4 - (17 z^2)/a^2 - a^2 z^2 + a^4 z^2 - z^3/
  a^7 + (8 z^3)/a^5 + (38 z^3)/a^3 + (58 z^3)/a + 37 a z^3 + 
  8 a^3 z^3 + 39 z^4 - (5 z^4)/a^6 + (8 z^4)/a^4 + (45 z^4)/a^2 + 
  5 a^2 z^4 - 2 a^4 z^4 + z^5/a^7 - (13 z^5)/a^5 - (35 z^5)/a^3 - (
  45 z^5)/a - 34 a z^5 - 10 a^3 z^5 - 46 z^6 + (4 z^6)/a^6 - (13 z^6)/
  a^4 - (50 z^6)/a^2 - 12 a^2 z^6 + a^4 z^6 + (8 z^7)/a^5 + (8 z^7)/
  a^3 + z^7/a + 5 a z^7 + 4 a^3 z^7 + 17 z^8 + (9 z^8)/a^4 + (20 z^8)/
  a^2 + 6 a^2 z^8 + (5 z^9)/a^3 + (9 z^9)/a + 4 a z^9 + z^10 + z^10/
  a^2, -(1/a^12) + 3/a^8 - 3/a^4 - 1/(a^9 z) - 1/(a^7 z) + 2/(
  a^5 z) + 2/(a^3 z) - z/a^11 - (8 z)/a^5 - (7 z)/a^3 - z^2/a^14 + (
  3 z^2)/a^12 + z^2/a^10 - (10 z^2)/a^8 - (4 z^2)/a^6 + (3 z^2)/
  a^4 - (3 z^3)/a^13 + (5 z^3)/a^11 + (3 z^3)/a^9 + (2 z^3)/a^7 + (
  16 z^3)/a^5 + (9 z^3)/a^3 + z^4/a^14 - (6 z^4)/a^12 + (6 z^4)/
  a^10 + (23 z^4)/a^8 + (15 z^4)/a^6 + (5 z^4)/a^4 + (3 z^5)/a^13 - (
  8 z^5)/a^11 - z^5/a^9 + (6 z^5)/a^7 - (9 z^5)/a^5 - (5 z^5)/a^3 + (
  5 z^6)/a^12 - (10 z^6)/a^10 - (25 z^6)/a^8 - (17 z^6)/a^6 - (7 z^6)/
  a^4 + (6 z^7)/a^11 - (5 z^7)/a^9 - (15 z^7)/a^7 - (3 z^7)/a^5 + z^7/
  a^3 + (6 z^8)/a^10 + (7 z^8)/a^8 + (3 z^8)/a^6 + (2 z^8)/a^4 + (
  4 z^9)/a^9 + (6 z^9)/a^7 + (2 z^9)/a^5 + z^10/a^8 + z^10/a^6, 
 2 + 1/a^2 + 3 a^2 + a^4 + 2/(a z) + (4 a)/z + (3 a^3)/z + a^5/z - (
  3 z)/a^3 - (15 z)/a - 26 a z - 18 a^3 z - 4 a^5 z - 12 z^2 + (
  2 z^2)/a^4 + (2 z^2)/a^2 - 19 a^2 z^2 - 7 a^4 z^2 - (2 z^3)/a^5 + (
  8 z^3)/a^3 + (44 z^3)/a + 60 a z^3 + 32 a^3 z^3 + 6 a^5 z^3 + 
  38 z^4 + z^4/a^6 - (7 z^4)/a^4 - (3 z^4)/a^2 + 47 a^2 z^4 + 
  14 a^4 z^4 + (4 z^5)/a^5 - (14 z^5)/a^3 - (47 z^5)/a - 42 a z^5 - 
  17 a^3 z^5 - 4 a^5 z^5 - 51 z^6 + (8 z^6)/a^4 - (10 z^6)/a^2 - 
  44 a^2 z^6 - 11 a^4 z^6 + (11 z^7)/a^3 + (10 z^7)/a - 5 a z^7 - 
  3 a^3 z^7 + a^5 z^7 + 18 z^8 + (10 z^8)/a^2 + 11 a^2 z^8 + 
  3 a^4 z^8 + (5 z^9)/a + 8 a z^9 + 3 a^3 z^9 + z^10 + a^2 z^10, -1 - 
  4 a^2 - 7 a^4 - 4 a^6 - a^8 + a/z + (4 a^3)/z + (4 a^5)/z + a^7/
  z - (2 z)/a - 5 a z - 13 a^3 z - 14 a^5 z - 4 a^7 z + (2 z^2)/a^2 + 
  3 a^2 z^2 + 12 a^4 z^2 + 10 a^6 z^2 + 3 a^8 z^2 - z^3/a^3 + (7 z^3)/
  a + 19 a z^3 + 30 a^3 z^3 + 27 a^5 z^3 + 8 a^7 z^3 + 3 z^4 - (
  5 z^4)/a^2 + 15 a^2 z^4 + 5 a^4 z^4 - 5 a^6 z^4 - 3 a^8 z^4 + z^5/
  a^3 - (12 z^5)/a - 26 a z^5 - 30 a^3 z^5 - 25 a^5 z^5 - 8 a^7 z^5 - 
  11 z^6 + (4 z^6)/a^2 - 33 a^2 z^6 - 24 a^4 z^6 - 5 a^6 z^6 + 
  a^8 z^6 + (8 z^7)/a + 7 a z^7 + a^3 z^7 + 5 a^5 z^7 + 3 a^7 z^7 + 
  9 z^8 + 17 a^2 z^8 + 12 a^4 z^8 + 4 a^6 z^8 + 5 a z^9 + 8 a^3 z^9 + 
  3 a^5 z^9 + a^2 z^10 + a^4 z^10, -3 - 1/a^2 - 3 a^2 - 2 a^4 + 1/(
  a z) + (3 a)/z + (4 a^3)/z + (2 a^5)/z - (4 z)/a - 12 a z - 
  15 a^3 z - 7 a^5 z - 4 z^2 + z^2/a^4 - z^2/a^2 - a^2 z^2 + 
  a^4 z^2 - (2 z^3)/a^5 + (6 z^3)/a^3 + (16 z^3)/a + 22 a z^3 + 
  23 a^3 z^3 + 9 a^5 z^3 + 28 z^4 + z^4/a^6 - (7 z^4)/a^4 + (7 z^4)/
  a^2 + 19 a^2 z^4 + 6 a^4 z^4 + (4 z^5)/a^5 - (15 z^5)/a^3 - (
  21 z^5)/a - 9 a z^5 - 12 a^3 z^5 - 5 a^5 z^5 - 38 z^6 + (8 z^6)/
  a^4 - (15 z^6)/a^2 - 22 a^2 z^6 - 7 a^4 z^6 + (11 z^7)/a^3 + (
  2 z^7)/a - 12 a z^7 - 2 a^3 z^7 + a^5 z^7 + 13 z^8 + (10 z^8)/a^2 + 
  5 a^2 z^8 + 2 a^4 z^8 + (5 z^9)/a + 7 a z^9 + 2 a^3 z^9 + z^10 + 
  a^2 z^10, 
 1 + 3 a^2 + 2 a^4 + a^6 + 1/(a z) + (2 a)/z + a^3/z - a^5/z - a^7/
  z - (5 z)/a - 12 a z - 8 a^3 z + 2 a^5 z + 3 a^7 z - 6 z^2 - (
  2 z^2)/a^2 - 6 a^2 z^2 - 2 a^4 z^2 + (6 z^3)/a^3 + (12 z^3)/a + 
  18 a z^3 + 14 a^3 z^3 - a^5 z^3 - 3 a^7 z^3 + 21 z^4 - (2 z^4)/
  a^4 + (12 z^4)/a^2 + 9 a^2 z^4 - a^4 z^4 - 3 a^6 z^4 - (11 z^5)/
  a^3 - (8 z^5)/a - 5 a z^5 - 12 a^3 z^5 - 3 a^5 z^5 + a^7 z^5 - 
  25 z^6 + z^6/a^4 - (17 z^6)/a^2 - 10 a^2 z^6 - a^4 z^6 + 
  2 a^6 z^6 + (4 z^7)/a^3 - (5 z^7)/a - 8 a z^7 + 4 a^3 z^7 + 
  3 a^5 z^7 + 8 z^8 + (6 z^8)/a^2 + 5 a^2 z^8 + 3 a^4 z^8 + (4 z^9)/
  a + 6 a z^9 + 2 a^3 z^9 + z^10 + a^2 z^10, -3 a^8 + 3 a^12 - 
  a^16 + (2 a^7)/z + (2 a^9)/z - a^11/z - a^13/z + a^5 z - 7 a^7 z - 
  7 a^9 z + 2 a^11 z - a^15 z + a^6 z^2 + 7 a^8 z^2 - 3 a^10 z^2 - 
  9 a^12 z^2 + 3 a^14 z^2 + 3 a^16 z^2 - 2 a^5 z^3 + 11 a^7 z^3 + 
  11 a^9 z^3 + a^11 z^3 + 9 a^13 z^3 + 6 a^15 z^3 - 4 a^6 z^4 - 
  4 a^8 z^4 + 14 a^10 z^4 + 17 a^12 z^4 - 3 a^16 z^4 + a^5 z^5 - 
  11 a^7 z^5 - 11 a^9 z^5 - 4 a^11 z^5 - 13 a^13 z^5 - 8 a^15 z^5 + 
  3 a^6 z^6 - 5 a^8 z^6 - 22 a^10 z^6 - 22 a^12 z^6 - 7 a^14 z^6 + 
  a^16 z^6 + 6 a^7 z^7 + 2 a^9 z^7 - 6 a^11 z^7 + a^13 z^7 + 
  3 a^15 z^7 + 6 a^8 z^8 + 11 a^10 z^8 + 9 a^12 z^8 + 4 a^14 z^8 + 
  4 a^9 z^9 + 7 a^11 z^9 + 3 a^13 z^9 + a^10 z^10 + a^12 z^10, 
 2 a^6 - 2 a^10 - a^12 + a^3/z + (2 a^5)/z + (3 a^7)/z + (3 a^9)/z + 
  a^11/z - 4 a^3 z - 10 a^5 z - 16 a^7 z - 13 a^9 z - 3 a^11 z - 
  4 a^4 z^2 - 13 a^6 z^2 - 6 a^8 z^2 + 6 a^10 z^2 + 3 a^12 z^2 - 
  a z^3 + 8 a^3 z^3 + 24 a^5 z^3 + 31 a^7 z^3 + 23 a^9 z^3 + 
  7 a^11 z^3 - 5 a^2 z^4 + 12 a^4 z^4 + 38 a^6 z^4 + 21 a^8 z^4 - 
  3 a^10 z^4 - 3 a^12 z^4 + a z^5 - 14 a^3 z^5 - 22 a^5 z^5 - 
  20 a^7 z^5 - 21 a^9 z^5 - 8 a^11 z^5 + 4 a^2 z^6 - 16 a^4 z^6 - 
  41 a^6 z^6 - 28 a^8 z^6 - 6 a^10 z^6 + a^12 z^6 + 8 a^3 z^7 + 
  3 a^5 z^7 - 5 a^7 z^7 + 3 a^9 z^7 + 3 a^11 z^7 + 9 a^4 z^8 + 
  16 a^6 z^8 + 11 a^8 z^8 + 4 a^10 z^8 + 5 a^5 z^9 + 8 a^7 z^9 + 
  3 a^9 z^9 + a^6 z^10 + a^8 z^10, -(1/a^8) - 2/a^6 + 2/a^2 + 1/(
  a^7 z) + 3/(a^5 z) + 3/(a^3 z) + 2/(a z) + a/z - (3 z)/a^7 - (12 z)/
  a^5 - (18 z)/a^3 - (13 z)/a - 4 a z - 5 z^2 + (4 z^2)/a^8 + (5 z^2)/
  a^6 - (7 z^2)/a^4 - (13 z^2)/a^2 - z^3/a^9 + (9 z^3)/a^7 + (31 z^3)/
  a^5 + (41 z^3)/a^3 + (26 z^3)/a + 6 a z^3 + 13 z^4 + z^4/a^10 - (
  9 z^4)/a^8 - (7 z^4)/a^6 + (31 z^4)/a^4 + (41 z^4)/a^2 + (4 z^5)/
  a^9 - (16 z^5)/a^7 - (39 z^5)/a^5 - (28 z^5)/a^3 - (13 z^5)/a - 
  4 a z^5 - 11 z^6 + (9 z^6)/a^8 - (8 z^6)/a^6 - (46 z^6)/a^4 - (
  40 z^6)/a^2 + (12 z^7)/a^7 + (9 z^7)/a^5 - (8 z^7)/a^3 - (4 z^7)/a +
   a z^7 + 3 z^8 + (10 z^8)/a^6 + (17 z^8)/a^4 + (10 z^8)/a^2 + (
  5 z^9)/a^5 + (8 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + z^10/
  a^2, -(2/a^12) - 1/a^10 + 6/a^8 + 5/a^6 - 1/a^4 - 2/(a^9 z) - 4/(
  a^7 z) - 1/(a^5 z) + 1/(a^3 z) + z/a^11 + (8 z)/a^9 + (13 z)/a^7 + 
  z/a^5 - (5 z)/a^3 - z^2/a^14 + (6 z^2)/a^12 + (4 z^2)/a^10 - (
  19 z^2)/a^8 - (16 z^2)/a^6 - (2 z^3)/a^13 + (4 z^3)/a^11 - (15 z^3)/
  a^9 - (24 z^3)/a^7 + (5 z^3)/a^5 + (8 z^3)/a^3 + z^4/a^14 - (8 z^4)/
  a^12 + (24 z^4)/a^8 + (23 z^4)/a^6 + (8 z^4)/a^4 + (3 z^5)/a^13 - (
  9 z^5)/a^11 + (9 z^5)/a^9 + (25 z^5)/a^7 - z^5/a^5 - (5 z^5)/a^3 + (
  6 z^6)/a^12 - (7 z^6)/a^10 - (21 z^6)/a^8 - (16 z^6)/a^6 - (8 z^6)/
  a^4 + (7 z^7)/a^11 - (6 z^7)/a^9 - (19 z^7)/a^7 - (5 z^7)/a^5 + z^7/
  a^3 + (6 z^8)/a^10 + (6 z^8)/a^8 + (2 z^8)/a^6 + (2 z^8)/a^4 + (
  4 z^9)/a^9 + (6 z^9)/a^7 + (2 z^9)/a^5 + z^10/a^8 + z^10/a^6, 
 4/a^10 + 9/a^8 + 4/a^6 - 2/a^4 - 1/(a^9 z) - 1/(a^7 z) + 2/(a^5 z) + 
  2/(a^3 z) - (5 z)/a^7 - (13 z)/a^5 - (7 z)/a^3 + z/a + (2 z^2)/
  a^12 - (12 z^2)/a^10 - (31 z^2)/a^8 - (15 z^2)/a^6 + (3 z^2)/a^4 + 
  z^2/a^2 + (4 z^3)/a^11 - (2 z^3)/a^9 + (14 z^3)/a^7 + (29 z^3)/
  a^5 + (7 z^3)/a^3 - (2 z^3)/a - (3 z^4)/a^12 + (16 z^4)/a^10 + (
  46 z^4)/a^8 + (32 z^4)/a^6 - (5 z^4)/a^2 - (8 z^5)/a^11 + (4 z^5)/
  a^9 - (22 z^5)/a^5 - (9 z^5)/a^3 + z^5/a + z^6/a^12 - (15 z^6)/
  a^10 - (34 z^6)/a^8 - (27 z^6)/a^6 - (6 z^6)/a^4 + (3 z^6)/a^2 + (
  3 z^7)/a^11 - (8 z^7)/a^9 - (12 z^7)/a^7 + (4 z^7)/a^5 + (5 z^7)/
  a^3 + (5 z^8)/a^10 + (9 z^8)/a^8 + (9 z^8)/a^6 + (5 z^8)/a^4 + (
  4 z^9)/a^9 + (7 z^9)/a^7 + (3 z^9)/a^5 + z^10/a^8 + z^10/
  a^6, -(1/a^8) - 2/a^6 + 2/a^2 + 1/(a^7 z) + 3/(a^5 z) + 3/(a^3 z) + 
  2/(a z) + a/z - (5 z)/a^7 - (14 z)/a^5 - (16 z)/a^3 - (11 z)/a - 
  4 a z - 4 z^2 - z^2/a^10 + (5 z^2)/a^8 + (5 z^2)/a^6 - (9 z^2)/
  a^4 - (12 z^2)/a^2 - (2 z^3)/a^9 + (11 z^3)/a^7 + (27 z^3)/a^5 + (
  31 z^3)/a^3 + (23 z^3)/a + 6 a z^3 + 12 z^4 + z^4/a^10 - (7 z^4)/
  a^8 - (2 z^4)/a^6 + (30 z^4)/a^4 + (36 z^4)/a^2 + (3 z^5)/a^9 - (
  12 z^5)/a^7 - (26 z^5)/a^5 - (18 z^5)/a^3 - (11 z^5)/a - 4 a z^5 - 
  11 z^6 + (6 z^6)/a^8 - (7 z^6)/a^6 - (37 z^6)/a^4 - (35 z^6)/a^2 + (
  8 z^7)/a^7 + (4 z^7)/a^5 - (10 z^7)/a^3 - (5 z^7)/a + a z^7 + 
  3 z^8 + (7 z^8)/a^6 + (12 z^8)/a^4 + (8 z^8)/a^2 + (4 z^9)/a^5 + (
  7 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + z^10/a^2, 
 1 + 3 a^2 + 2 a^4 + a^6 + 1/(a z) + (3 a)/z + (4 a^3)/z + (2 a^5)/
  z - (4 z)/a - 15 a z - 24 a^3 z - 16 a^5 z - 3 a^7 z - 4 z^2 - 
  11 a^2 z^2 - 9 a^4 z^2 - a^6 z^2 + a^8 z^2 + (7 z^3)/a + 29 a z^3 + 
  45 a^3 z^3 + 31 a^5 z^3 + 8 a^7 z^3 + 14 z^4 - (2 z^4)/a^2 + 
  45 a^2 z^4 + 37 a^4 z^4 + 6 a^6 z^4 - 2 a^8 z^4 + z^5/a^3 - (
  16 z^5)/a - 31 a z^5 - 27 a^3 z^5 - 22 a^5 z^5 - 9 a^7 z^5 - 
  28 z^6 + (5 z^6)/a^2 - 70 a^2 z^6 - 50 a^4 z^6 - 12 a^6 z^6 + 
  a^8 z^6 + (13 z^7)/a - a z^7 - 20 a^3 z^7 - 2 a^5 z^7 + 4 a^7 z^7 + 
  18 z^8 + 29 a^2 z^8 + 18 a^4 z^8 + 7 a^6 z^8 + 12 a z^9 + 
  19 a^3 z^9 + 7 a^5 z^9 + 3 a^2 z^10 + 3 a^4 z^10, 
 3/a^10 + 7/a^8 + 4/a^6 + 1/a^2 - 1/(a^9 z) - 2/(a^7 z) - 1/(a^5 z) - 
  1/(a^3 z) - 1/(a z) + (3 z)/a^9 + (6 z)/a^7 + (3 z)/a^5 + (3 z)/
  a^3 + (3 z)/a + (2 z^2)/a^12 - (9 z^2)/a^10 - (26 z^2)/a^8 - (
  17 z^2)/a^6 - (2 z^2)/a^4 + (5 z^3)/a^11 - (6 z^3)/a^9 - (10 z^3)/
  a^7 + z^3/a^5 - (3 z^3)/a^3 - (3 z^3)/a - (3 z^4)/a^12 + (14 z^4)/
  a^10 + (37 z^4)/a^8 + (28 z^4)/a^6 + (5 z^4)/a^4 - (3 z^4)/a^2 - (
  8 z^5)/a^11 + (4 z^5)/a^9 + (12 z^5)/a^7 - (3 z^5)/a^5 - (2 z^5)/
  a^3 + z^5/a + z^6/a^12 - (14 z^6)/a^10 - (30 z^6)/a^8 - (22 z^6)/
  a^6 - (5 z^6)/a^4 + (2 z^6)/a^2 + (3 z^7)/a^11 - (7 z^7)/a^9 - (
  13 z^7)/a^7 + (3 z^7)/a^3 + (5 z^8)/a^10 + (9 z^8)/a^8 + (8 z^8)/
  a^6 + (4 z^8)/a^4 + (4 z^9)/a^9 + (7 z^9)/a^7 + (3 z^9)/a^5 + z^10/
  a^8 + z^10/a^6, 
 2 a^2 - 2 a^6 - a^8 + 1/(a z) + (2 a)/z + (3 a^3)/z + (3 a^5)/z + 
  a^7/z - (4 z)/a - 13 a z - 18 a^3 z - 12 a^5 z - 3 a^7 z - 2 z^2 + 
  z^2/a^2 - 11 a^2 z^2 - 9 a^4 z^2 + 2 a^6 z^2 + 3 a^8 z^2 - z^3/
  a^3 + (9 z^3)/a + 35 a z^3 + 41 a^3 z^3 + 22 a^5 z^3 + 6 a^7 z^3 + 
  6 z^4 - (5 z^4)/a^2 + 37 a^2 z^4 + 32 a^4 z^4 + 3 a^6 z^4 - 
  3 a^8 z^4 + z^5/a^3 - (13 z^5)/a - 36 a z^5 - 36 a^3 z^5 - 
  21 a^5 z^5 - 7 a^7 z^5 - 12 z^6 + (4 z^6)/a^2 - 47 a^2 z^6 - 
  41 a^4 z^6 - 9 a^6 z^6 + a^8 z^6 + (8 z^7)/a + 9 a z^7 + 
  2 a^5 z^7 + 3 a^7 z^7 + 9 z^8 + 20 a^2 z^8 + 16 a^4 z^8 + 
  5 a^6 z^8 + 5 a z^9 + 9 a^3 z^9 + 4 a^5 z^9 + a^2 z^10 + 
  a^4 z^10, -2 a^4 - 3 a^6 - 3 a^8 - a^10 + (2 a^3)/z + (4 a^5)/z + (
  3 a^7)/z + a^9/z + a z - 7 a^3 z - 18 a^5 z - 13 a^7 z - 2 a^9 z + 
  a^11 z - a^2 z^2 - 2 a^4 z^2 + 4 a^6 z^2 + 8 a^8 z^2 + 3 a^10 z^2 + 
  4 a z^3 + 15 a^3 z^3 + 30 a^5 z^3 + 24 a^7 z^3 + 3 a^9 z^3 - 
  2 a^11 z^3 - z^4 + 10 a^2 z^4 + 26 a^4 z^4 + 16 a^6 z^4 - 
  4 a^8 z^4 - 5 a^10 z^4 - 10 a z^5 - 15 a^3 z^5 - 15 a^5 z^5 - 
  17 a^7 z^5 - 6 a^9 z^5 + a^11 z^5 + z^6 - 20 a^2 z^6 - 42 a^4 z^6 - 
  28 a^6 z^6 - 4 a^8 z^6 + 3 a^10 z^6 + 5 a z^7 - 6 a^3 z^7 - 
  14 a^5 z^7 + 2 a^7 z^7 + 5 a^9 z^7 + 9 a^2 z^8 + 15 a^4 z^8 + 
  12 a^6 z^8 + 6 a^8 z^8 + 7 a^3 z^9 + 12 a^5 z^9 + 5 a^7 z^9 + 
  2 a^4 z^10 + 2 a^6 z^10, -3 - 1/a^8 + 3/a^4 - 1/(a^5 z) - 1/(
  a^3 z) + 2/(a z) + (2 a)/z - (2 z)/a^7 - (2 z)/a^5 + (3 z)/a^3 - (
  4 z)/a - 7 a z + 4 z^2 + (4 z^2)/a^8 + (3 z^2)/a^6 - (15 z^2)/
  a^4 - (10 z^2)/a^2 - z^3/a^9 + (8 z^3)/a^7 + (20 z^3)/a^5 + (5 z^3)/
  a^3 + (3 z^3)/a + 9 a z^3 + 3 z^4 + z^4/a^10 - (9 z^4)/a^8 - (
  5 z^4)/a^6 + (38 z^4)/a^4 + (36 z^4)/a^2 + (4 z^5)/a^9 - (16 z^5)/
  a^7 - (32 z^5)/a^5 - (3 z^5)/a^3 + (4 z^5)/a - 5 a z^5 - 6 z^6 + (
  9 z^6)/a^8 - (9 z^6)/a^6 - (46 z^6)/a^4 - (34 z^6)/a^2 + (12 z^7)/
  a^7 + (7 z^7)/a^5 - (14 z^7)/a^3 - (8 z^7)/a + a z^7 + 2 z^8 + (
  10 z^8)/a^6 + (16 z^8)/a^4 + (8 z^8)/a^2 + (5 z^9)/a^5 + (8 z^9)/
  a^3 + (3 z^9)/a + z^10/a^4 + z^10/a^2, 
 7 a^10 + 7 a^12 + a^18 - (4 a^9)/z - (7 a^11)/z - (3 a^13)/z - 
  2 a^7 z + 17 a^9 z + 30 a^11 z + 11 a^13 z - a^8 z^2 - 
  24 a^10 z^2 - 24 a^12 z^2 + a^14 z^2 - 2 a^18 z^2 + 7 a^7 z^3 - 
  29 a^9 z^3 - 53 a^11 z^3 - 11 a^13 z^3 + 4 a^15 z^3 - 2 a^17 z^3 + 
  8 a^8 z^4 + 31 a^10 z^4 + 30 a^12 z^4 + 4 a^14 z^4 - 2 a^16 z^4 + 
  a^18 z^4 - 5 a^7 z^5 + 26 a^9 z^5 + 44 a^11 z^5 + 6 a^13 z^5 - 
  5 a^15 z^5 + 2 a^17 z^5 - 8 a^8 z^6 - 19 a^10 z^6 - 20 a^12 z^6 - 
  6 a^14 z^6 + 3 a^16 z^6 + a^7 z^7 - 14 a^9 z^7 - 24 a^11 z^7 - 
  5 a^13 z^7 + 4 a^15 z^7 + 2 a^8 z^8 + 2 a^10 z^8 + 4 a^12 z^8 + 
  4 a^14 z^8 + 3 a^9 z^9 + 6 a^11 z^9 + 3 a^13 z^9 + a^10 z^10 + 
  a^12 z^10, -a^8 + 5 a^10 + 6 a^12 - a^14 - 2 a^16 + a^7/z - a^9/
  z - (4 a^11)/z - (2 a^13)/z - 7 a^7 z + 2 a^9 z + 17 a^11 z + 
  9 a^13 z + a^15 z - 22 a^10 z^2 - 25 a^12 z^2 + 2 a^14 z^2 + 
  5 a^16 z^2 - 2 a^5 z^3 + 15 a^7 z^3 + 4 a^9 z^3 - 31 a^11 z^3 - 
  16 a^13 z^3 + 2 a^15 z^3 - 5 a^6 z^4 + 9 a^8 z^4 + 41 a^10 z^4 + 
  32 a^12 z^4 + a^14 z^4 - 4 a^16 z^4 + a^5 z^5 - 15 a^7 z^5 - 
  a^9 z^5 + 29 a^11 z^5 + 9 a^13 z^5 - 5 a^15 z^5 + 3 a^6 z^6 - 
  12 a^8 z^6 - 30 a^10 z^6 - 22 a^12 z^6 - 6 a^14 z^6 + a^16 z^6 + 
  6 a^7 z^7 - 4 a^9 z^7 - 18 a^11 z^7 - 6 a^13 z^7 + 2 a^15 z^7 + 
  6 a^8 z^8 + 9 a^10 z^8 + 6 a^12 z^8 + 3 a^14 z^8 + 4 a^9 z^9 + 
  7 a^11 z^9 + 3 a^13 z^9 + a^10 z^10 + a^12 z^10, 
 a^2 + 2 a^4 + 3 a^6 + a^8 + (2 a^3)/z + (4 a^5)/z + (3 a^7)/z + a^9/
  z - 2 a z - 15 a^3 z - 25 a^5 z - 16 a^7 z - 4 a^9 z + z^2 - 
  2 a^2 z^2 - 15 a^4 z^2 - 18 a^6 z^2 - 6 a^8 z^2 - (2 z^3)/a + 
  8 a z^3 + 38 a^3 z^3 + 50 a^5 z^3 + 28 a^7 z^3 + 6 a^9 z^3 - 7 z^4 +
   z^4/a^2 + 4 a^2 z^4 + 45 a^4 z^4 + 46 a^6 z^4 + 13 a^8 z^4 + (
  4 z^5)/a - 15 a z^5 - 39 a^3 z^5 - 30 a^5 z^5 - 14 a^7 z^5 - 
  4 a^9 z^5 + 8 z^6 - 13 a^2 z^6 - 52 a^4 z^6 - 42 a^6 z^6 - 
  11 a^8 z^6 + 11 a z^7 + 7 a^3 z^7 - 9 a^5 z^7 - 4 a^7 z^7 + 
  a^9 z^7 + 10 a^2 z^8 + 17 a^4 z^8 + 10 a^6 z^8 + 3 a^8 z^8 + 
  5 a^3 z^9 + 8 a^5 z^9 + 3 a^7 z^9 + a^4 z^10 + a^6 z^10, -a^8 + 
  5 a^10 + 6 a^12 - a^14 - 2 a^16 + a^7/z - a^9/z - (4 a^11)/z - (
  2 a^13)/z + a^5 z - 5 a^7 z + 2 a^9 z + 15 a^11 z + 8 a^13 z + 
  a^15 z + a^6 z^2 + 2 a^8 z^2 - 18 a^10 z^2 - 19 a^12 z^2 + 
  5 a^14 z^2 + 5 a^16 z^2 - 3 a^5 z^3 + 9 a^7 z^3 - 6 a^9 z^3 - 
  34 a^11 z^3 - 13 a^13 z^3 + 3 a^15 z^3 - 5 a^6 z^4 + 6 a^8 z^4 + 
  29 a^10 z^4 + 17 a^12 z^4 - 5 a^14 z^4 - 4 a^16 z^4 + a^5 z^5 - 
  9 a^7 z^5 + 17 a^9 z^5 + 40 a^11 z^5 + 7 a^13 z^5 - 6 a^15 z^5 + 
  2 a^6 z^6 - 8 a^8 z^6 - 13 a^10 z^6 - 7 a^12 z^6 - 3 a^14 z^6 + 
  a^16 z^6 + 3 a^7 z^7 - 11 a^9 z^7 - 21 a^11 z^7 - 5 a^13 z^7 + 
  2 a^15 z^7 + 3 a^8 z^8 + a^10 z^8 + 2 a^14 z^8 + 3 a^9 z^9 + 
  5 a^11 z^9 + 2 a^13 z^9 + a^10 z^10 + a^12 z^10, -2 a^8 + 4 a^10 + 
  9 a^12 + 4 a^14 + (2 a^7)/z + (2 a^9)/z - a^11/z - a^13/z + 
  2 a^5 z - 7 a^7 z - 12 a^9 z - 3 a^11 z + 2 a^6 z^2 + 5 a^8 z^2 - 
  19 a^10 z^2 - 34 a^12 z^2 - 12 a^14 z^2 + a^3 z^3 - 5 a^5 z^3 + 
  11 a^7 z^3 + 26 a^9 z^3 + 3 a^11 z^3 - 6 a^13 z^3 + 3 a^4 z^4 - 
  10 a^6 z^4 - 2 a^8 z^4 + 46 a^10 z^4 + 48 a^12 z^4 + 13 a^14 z^4 + 
  6 a^5 z^5 - 18 a^7 z^5 - 19 a^9 z^5 + 20 a^11 z^5 + 15 a^13 z^5 + 
  8 a^6 z^6 - 13 a^8 z^6 - 38 a^10 z^6 - 23 a^12 z^6 - 6 a^14 z^6 + 
  9 a^7 z^7 - 4 a^9 z^7 - 23 a^11 z^7 - 10 a^13 z^7 + 7 a^8 z^8 + 
  7 a^10 z^8 + a^12 z^8 + a^14 z^8 + 4 a^9 z^9 + 6 a^11 z^9 + 
  2 a^13 z^9 + a^10 z^10 + a^12 z^10, -2 - 3 a^2 - 3 a^4 - a^6 + 2/(
  a z) + (4 a)/z + (3 a^3)/z + a^5/z - (2 z)/a^3 - (9 z)/a - 17 a z - 
  13 a^3 z - 2 a^5 z + a^7 z + z^2 + z^2/a^4 + z^2/a^2 + 5 a^2 z^2 + 
  7 a^4 z^2 + 3 a^6 z^2 + (7 z^3)/a^3 + (23 z^3)/a + 36 a z^3 + 
  26 a^3 z^3 + 4 a^5 z^3 - 2 a^7 z^3 + 15 z^4 - (2 z^4)/a^4 + (5 z^4)/
  a^2 + 7 a^2 z^4 - 6 a^4 z^4 - 5 a^6 z^4 - (10 z^5)/a^3 - (22 z^5)/
  a - 29 a z^5 - 25 a^3 z^5 - 7 a^5 z^5 + a^7 z^5 - 29 z^6 + z^6/
  a^4 - (13 z^6)/a^2 - 20 a^2 z^6 - 2 a^4 z^6 + 3 a^6 z^6 + (4 z^7)/
  a^3 + z^7/a + 8 a^3 z^7 + 5 a^5 z^7 + 12 z^8 + (6 z^8)/a^2 + 
  11 a^2 z^8 + 5 a^4 z^8 + (4 z^9)/a + 7 a z^9 + 3 a^3 z^9 + z^10 + 
  a^2 z^10, -7 - 1/a^4 - 4/a^2 - 4 a^2 - a^4 + 1/(a^3 z) + 4/(a z) + (
  4 a)/z + a^3/z - (6 z)/a^3 - (17 z)/a - 15 a z - 4 a^3 z + 
  14 z^2 + (5 z^2)/a^4 + (12 z^2)/a^2 + 10 a^2 z^2 + 3 a^4 z^2 + (
  5 z^3)/a^5 + (23 z^3)/a^3 + (38 z^3)/a + 28 a z^3 + 8 a^3 z^3 + 
  3 z^4 - (5 z^4)/a^6 - (4 z^4)/a^4 + (6 z^4)/a^2 - 5 a^2 z^4 - 
  3 a^4 z^4 + z^5/a^7 - (15 z^5)/a^5 - (35 z^5)/a^3 - (36 z^5)/a - 
  25 a z^5 - 8 a^3 z^5 - 23 z^6 + (5 z^6)/a^6 - (10 z^6)/a^4 - (
  32 z^6)/a^2 - 5 a^2 z^6 + a^4 z^6 + (10 z^7)/a^5 + (11 z^7)/a^3 + (
  3 z^7)/a + 5 a z^7 + 3 a^3 z^7 + 12 z^8 + (10 z^8)/a^4 + (18 z^8)/
  a^2 + 4 a^2 z^8 + (5 z^9)/a^3 + (8 z^9)/a + 3 a z^9 + z^10 + z^10/
  a^2, -2 + 4/a^6 + 9/a^4 + 4/a^2 - 1/(a^5 z) - 1/(a^3 z) + 2/(
  a z) + (2 a)/z - z/a^7 - (2 z)/a^5 - (2 z)/a^3 - (9 z)/a - 7 a z + 
  a^3 z + 4 z^2 + z^2/a^8 - (10 z^2)/a^6 - (34 z^2)/a^4 - (20 z^2)/
  a^2 + a^2 z^2 + (4 z^3)/a^7 + (9 z^3)/a^5 + (9 z^3)/a^3 + (16 z^3)/
  a + 10 a z^3 - 2 a^3 z^3 - (2 z^4)/a^8 + (15 z^4)/a^6 + (59 z^4)/
  a^4 + (46 z^4)/a^2 - 4 a^2 z^4 - (8 z^5)/a^7 - (7 z^5)/a^5 + (
  2 z^5)/a^3 - (10 z^5)/a - 10 a z^5 + a^3 z^5 - 7 z^6 + z^6/a^8 - (
  19 z^6)/a^6 - (54 z^6)/a^4 - (44 z^6)/a^2 + 3 a^2 z^6 + (4 z^7)/
  a^7 - (9 z^7)/a^5 - (21 z^7)/a^3 - (2 z^7)/a + 6 a z^7 + 7 z^8 + (
  8 z^8)/a^6 + (16 z^8)/a^4 + (15 z^8)/a^2 + (7 z^9)/a^5 + (13 z^9)/
  a^3 + (6 z^9)/a + (2 z^10)/a^4 + (2 z^10)/a^2, -(1/a^4) - 2/a^2 + 
  2 a^2 + 1/(a^3 z) + 3/(a z) + (3 a)/z + (2 a^3)/z + a^5/z - (4 z)/
  a^3 - (14 z)/a - 15 a z - 9 a^3 z - 4 a^5 z - 11 z^2 + (4 z^2)/
  a^4 + (4 z^2)/a^2 - 15 a^2 z^2 - 4 a^4 z^2 + (13 z^3)/a^3 + (
  30 z^3)/a + 27 a z^3 + 16 a^3 z^3 + 6 a^5 z^3 + 46 z^4 + z^4/a^6 - (
  8 z^4)/a^4 + (6 z^4)/a^2 + 42 a^2 z^4 + 11 a^4 z^4 + (4 z^5)/a^5 - (
  23 z^5)/a^3 - (33 z^5)/a - 6 a z^5 - 4 a^3 z^5 - 4 a^5 z^5 - 
  63 z^6 + (10 z^6)/a^4 - (24 z^6)/a^2 - 39 a^2 z^6 - 10 a^4 z^6 + (
  16 z^7)/a^3 - 25 a z^7 - 8 a^3 z^7 + a^5 z^7 + 21 z^8 + (16 z^8)/
  a^2 + 8 a^2 z^8 + 3 a^4 z^8 + (9 z^9)/a + 13 a z^9 + 4 a^3 z^9 + 
  2 z^10 + 2 a^2 z^10, -3 a^8 + 3 a^12 - a^16 + (2 a^7)/z + (2 a^9)/
  z - a^11/z - a^13/z - 9 a^7 z - 7 a^9 z + 4 a^11 z + a^13 z - 
  a^15 z + 5 a^8 z^2 - 7 a^10 z^2 - 15 a^12 z^2 + 3 a^16 z^2 - 
  a^5 z^3 + 15 a^7 z^3 + 15 a^9 z^3 - 2 a^11 z^3 + 4 a^13 z^3 + 
  5 a^15 z^3 - 3 a^6 z^4 + 4 a^8 z^4 + 31 a^10 z^4 + 31 a^12 z^4 + 
  4 a^14 z^4 - 3 a^16 z^4 + a^5 z^5 - 17 a^7 z^5 - 17 a^9 z^5 + 
  3 a^11 z^5 - 5 a^13 z^5 - 7 a^15 z^5 + 4 a^6 z^6 - 17 a^8 z^6 - 
  45 a^10 z^6 - 34 a^12 z^6 - 9 a^14 z^6 + a^16 z^6 + 10 a^7 z^7 - 
  a^9 z^7 - 18 a^11 z^7 - 4 a^13 z^7 + 3 a^15 z^7 + 12 a^8 z^8 + 
  19 a^10 z^8 + 12 a^12 z^8 + 5 a^14 z^8 + 8 a^9 z^9 + 13 a^11 z^9 + 
  5 a^13 z^9 + 2 a^10 z^10 + 2 a^12 z^10, 
 1 + 3 a^2 + 2 a^4 + a^6 + 1/(a z) + (3 a)/z + (4 a^3)/z + (2 a^5)/z +
   z/a^3 - (4 z)/a - 17 a z - 24 a^3 z - 15 a^5 z - 3 a^7 z - 11 z^2 +
   z^2/a^2 - 24 a^2 z^2 - 14 a^4 z^2 - a^6 z^2 + a^8 z^2 - (2 z^3)/
  a^3 + (7 z^3)/a + 34 a z^3 + 53 a^3 z^3 + 36 a^5 z^3 + 8 a^7 z^3 + 
  16 z^4 - (4 z^4)/a^2 + 53 a^2 z^4 + 40 a^4 z^4 + 5 a^6 z^4 - 
  2 a^8 z^4 + z^5/a^3 - (9 z^5)/a - 26 a z^5 - 40 a^3 z^5 - 
  34 a^5 z^5 - 10 a^7 z^5 - 14 z^6 + (3 z^6)/a^2 - 51 a^2 z^6 - 
  47 a^4 z^6 - 12 a^6 z^6 + a^8 z^6 + (6 z^7)/a + 4 a z^7 - a^3 z^7 + 
  5 a^5 z^7 + 4 a^7 z^7 + 8 z^8 + 19 a^2 z^8 + 17 a^4 z^8 + 
  6 a^6 z^8 + 5 a z^9 + 9 a^3 z^9 + 4 a^5 z^9 + a^2 z^10 + 
  a^4 z^10, -(2/a^8) - 5/a^6 - 3/a^4 + 1/a^2 + 1/(a^7 z) + 2/(
  a^5 z) - 1/(a z) - (4 z)/a^7 - (7 z)/a^5 + (3 z)/a + z^2/a^12 + (
  6 z^2)/a^8 + (13 z^2)/a^6 + (6 z^2)/a^4 + (5 z^3)/a^11 + (3 z^3)/
  a^9 + (10 z^3)/a^7 + (15 z^3)/a^5 - (3 z^3)/a - (2 z^4)/a^12 + (
  8 z^4)/a^10 + (5 z^4)/a^8 - (7 z^4)/a^6 - (5 z^4)/a^4 - (3 z^4)/
  a^2 - (10 z^5)/a^11 - (6 z^5)/a^9 - (6 z^5)/a^7 - (14 z^5)/a^5 - (
  3 z^5)/a^3 + z^5/a + z^6/a^12 - (15 z^6)/a^10 - (19 z^6)/a^8 - (
  5 z^6)/a^6 + (2 z^6)/a^2 + (4 z^7)/a^11 - (4 z^7)/a^9 - (6 z^7)/
  a^7 + (5 z^7)/a^5 + (3 z^7)/a^3 + (6 z^8)/a^10 + (8 z^8)/a^8 + (
  5 z^8)/a^6 + (3 z^8)/a^4 + (4 z^9)/a^9 + (6 z^9)/a^7 + (2 z^9)/a^5 +
   z^10/a^8 + z^10/a^6, -3 - 2/a^4 - 5/a^2 + a^2 + 1/(a^3 z) + 2/(
  a z) - a^3/z - z/a^7 - (2 z)/a^5 - z/a^3 - (3 z)/a + 3 a^3 z + 
  8 z^2 + z^2/a^8 - (2 z^2)/a^6 - (7 z^2)/a^4 + (4 z^2)/a^2 + (6 z^3)/
  a^7 + (14 z^3)/a^5 + (7 z^3)/a^3 + (2 z^3)/a - 3 a^3 z^3 - 8 z^4 - (
  2 z^4)/a^8 + (7 z^4)/a^6 + (28 z^4)/a^4 + (14 z^4)/a^2 - 
  3 a^2 z^4 - (10 z^5)/a^7 - (17 z^5)/a^5 - (3 z^5)/a^3 - 3 a z^5 + 
  a^3 z^5 + z^6 + z^6/a^8 - (14 z^6)/a^6 - (33 z^6)/a^4 - (19 z^6)/
  a^2 + 2 a^2 z^6 + (4 z^7)/a^7 - z^7/a^5 - (9 z^7)/a^3 - z^7/a + 
  3 a z^7 + 3 z^8 + (6 z^8)/a^6 + (11 z^8)/a^4 + (8 z^8)/a^2 + (
  4 z^9)/a^5 + (7 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + z^10/
  a^2, -5 a^8 - 5 a^10 + a^14 + (3 a^7)/z + (5 a^9)/z + (2 a^11)/z - 
  2 a^3 z - a^5 z - 8 a^7 z - 14 a^9 z - 5 a^11 z - 5 a^4 z^2 - 
  10 a^6 z^2 + 3 a^8 z^2 + 10 a^10 z^2 - 2 a^14 z^2 + 5 a^3 z^3 + 
  6 a^5 z^3 + 13 a^7 z^3 + 20 a^9 z^3 + 6 a^11 z^3 - 2 a^13 z^3 + 
  14 a^4 z^4 + 29 a^6 z^4 + 15 a^8 z^4 - 3 a^10 z^4 - 2 a^12 z^4 + 
  a^14 z^4 - 4 a^3 z^5 - a^7 z^5 - 12 a^9 z^5 - 5 a^11 z^5 + 
  2 a^13 z^5 - 12 a^4 z^6 - 27 a^6 z^6 - 22 a^8 z^6 - 4 a^10 z^6 + 
  3 a^12 z^6 + a^3 z^7 - 8 a^5 z^7 - 14 a^7 z^7 - a^9 z^7 + 
  4 a^11 z^7 + 3 a^4 z^8 + 5 a^6 z^8 + 6 a^8 z^8 + 4 a^10 z^8 + 
  3 a^5 z^9 + 6 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 a^6 - 3 a^8 - 5 a^10 - 2 a^12 - a^5/z + (2 a^9)/z + a^11/z + a z + 
  2 a^5 z - 5 a^9 z - 2 a^11 z + 3 a^2 z^2 + 3 a^4 z^2 - 2 a^6 z^2 + 
  6 a^8 z^2 + 13 a^10 z^2 + 5 a^12 z^2 - 2 a z^3 - 3 a^5 z^3 - 
  4 a^7 z^3 + 6 a^9 z^3 + 5 a^11 z^3 - 6 a^2 z^4 - 3 a^4 z^4 + 
  5 a^6 z^4 - 4 a^8 z^4 - 10 a^10 z^4 - 4 a^12 z^4 + a z^5 - 
  5 a^3 z^5 + 2 a^5 z^5 + 9 a^7 z^5 - 5 a^9 z^5 - 6 a^11 z^5 + 
  3 a^2 z^6 - 3 a^4 z^6 - 7 a^6 z^6 - 3 a^8 z^6 - a^10 z^6 + 
  a^12 z^6 + 4 a^3 z^7 - 2 a^5 z^7 - 9 a^7 z^7 - a^9 z^7 + 
  2 a^11 z^7 + 4 a^4 z^8 + 4 a^6 z^8 + 2 a^8 z^8 + 2 a^10 z^8 + 
  3 a^5 z^9 + 5 a^7 z^9 + 2 a^9 z^9 + a^6 z^10 + a^8 z^10, -1 - 
  4 a^2 - 7 a^4 - 4 a^6 - a^8 + a/z + (4 a^3)/z + (4 a^5)/z + a^7/z - 
  3 a z - 15 a^3 z - 16 a^5 z - 4 a^7 z + z^2 + 8 a^2 z^2 + 
  15 a^4 z^2 + 11 a^6 z^2 + 3 a^8 z^2 + (4 z^3)/a + 12 a z^3 + 
  25 a^3 z^3 + 25 a^5 z^3 + 8 a^7 z^3 + 4 z^4 - (4 z^4)/a^2 + 
  13 a^2 z^4 + a^4 z^4 - 7 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (15 z^5)/
  a - 20 a z^5 - 14 a^3 z^5 - 18 a^5 z^5 - 8 a^7 z^5 - 18 z^6 + (
  5 z^6)/a^2 - 37 a^2 z^6 - 19 a^4 z^6 - 4 a^6 z^6 + a^8 z^6 + (
  11 z^7)/a + a z^7 - 12 a^3 z^7 + a^5 z^7 + 3 a^7 z^7 + 13 z^8 + 
  18 a^2 z^8 + 9 a^4 z^8 + 4 a^6 z^8 + 8 a z^9 + 12 a^3 z^9 + 
  4 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 3/a^6 + 7/a^4 + 4/a^2 + a^2 - 1/(a^5 z) - 2/(a^3 z) - 1/(a z) - a/z -
   a^3/z - z/a^7 + z/a^5 + (9 z)/a^3 + (7 z)/a + 3 a z + 3 a^3 z + 
  z^2/a^8 - (10 z^2)/a^6 - (34 z^2)/a^4 - (23 z^2)/a^2 + (5 z^3)/a^7 +
   z^3/a^5 - (21 z^3)/a^3 - (16 z^3)/a - 2 a z^3 - 3 a^3 z^3 - 
  3 z^4 - (3 z^4)/a^8 + (18 z^4)/a^6 + (58 z^4)/a^4 + (37 z^4)/a^2 - 
  3 a^2 z^4 - (9 z^5)/a^7 + (5 z^5)/a^5 + (30 z^5)/a^3 + (12 z^5)/a - 
  3 a z^5 + a^3 z^5 - z^6 + z^6/a^8 - (17 z^6)/a^6 - (38 z^6)/a^4 - (
  23 z^6)/a^2 + 2 a^2 z^6 + (3 z^7)/a^7 - (10 z^7)/a^5 - (21 z^7)/
  a^3 - (5 z^7)/a + 3 a z^7 + 3 z^8 + (5 z^8)/a^6 + (8 z^8)/a^4 + (
  6 z^8)/a^2 + (4 z^9)/a^5 + (7 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + 
  z^10/a^2, 
 2 a^6 - 2 a^10 - a^12 + a^3/z + (2 a^5)/z + (3 a^7)/z + (3 a^9)/z + 
  a^11/z + a z - 4 a^3 z - 12 a^5 z - 16 a^7 z - 12 a^9 z - 3 a^11 z +
   a^2 z^2 - 5 a^4 z^2 - 16 a^6 z^2 - 9 a^8 z^2 + 4 a^10 z^2 + 
  3 a^12 z^2 - 2 a z^3 + 4 a^3 z^3 + 22 a^5 z^3 + 32 a^7 z^3 + 
  22 a^9 z^3 + 6 a^11 z^3 - 5 a^2 z^4 + 10 a^4 z^4 + 40 a^6 z^4 + 
  26 a^8 z^4 - 2 a^10 z^4 - 3 a^12 z^4 + a z^5 - 8 a^3 z^5 - 
  12 a^5 z^5 - 14 a^7 z^5 - 19 a^9 z^5 - 8 a^11 z^5 + 3 a^2 z^6 - 
  11 a^4 z^6 - 34 a^6 z^6 - 28 a^8 z^6 - 7 a^10 z^6 + a^12 z^6 + 
  5 a^3 z^7 - a^5 z^7 - 8 a^7 z^7 + a^9 z^7 + 3 a^11 z^7 + 
  6 a^4 z^8 + 11 a^6 z^8 + 9 a^8 z^8 + 4 a^10 z^8 + 4 a^5 z^9 + 
  7 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + a^8 z^10, -2 - 1/a^6 - 3/a^4 - 3/
  a^2 + 1/(a^5 z) + 3/(a^3 z) + 4/(a z) + (2 a)/z - z/a^7 - (4 z)/
  a^5 - (13 z)/a^3 - (17 z)/a - 7 a z + z^2 + (2 z^2)/a^8 + (2 z^2)/
  a^6 + (6 z^2)/a^4 + (7 z^2)/a^2 - (2 z^3)/a^9 + (6 z^3)/a^7 + (
  15 z^3)/a^5 + (24 z^3)/a^3 + (26 z^3)/a + 9 a z^3 + 6 z^4 + z^4/
  a^10 - (8 z^4)/a^8 - (3 z^4)/a^6 + (9 z^4)/a^4 + (9 z^4)/a^2 + (
  4 z^5)/a^9 - (13 z^5)/a^7 - (23 z^5)/a^5 - (14 z^5)/a^3 - (13 z^5)/
  a - 5 a z^5 - 7 z^6 + (8 z^6)/a^8 - (7 z^6)/a^6 - (25 z^6)/a^4 - (
  17 z^6)/a^2 + (10 z^7)/a^7 + (5 z^7)/a^5 - (8 z^7)/a^3 - (2 z^7)/a +
   a z^7 + 2 z^8 + (8 z^8)/a^6 + (10 z^8)/a^4 + (4 z^8)/a^2 + (4 z^9)/
  a^5 + (6 z^9)/a^3 + (2 z^9)/a + z^10/a^4 + z^10/a^2, -1 - a^2 - 
  3 a^4 - 3 a^6 - a^8 + 2/(a z) + (5 a)/z + (6 a^3)/z + (4 a^5)/z + 
  a^7/z - (7 z)/a - 24 a z - 31 a^3 z - 18 a^5 z - 4 a^7 z + z^2/
  a^2 + 6 a^4 z^2 + 8 a^6 z^2 + 3 a^8 z^2 - z^3/a^3 + (12 z^3)/a + 
  47 a z^3 + 60 a^3 z^3 + 34 a^5 z^3 + 8 a^7 z^3 + 4 z^4 - (4 z^4)/
  a^2 + 19 a^2 z^4 + 10 a^4 z^4 - 4 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (
  15 z^5)/a - 45 a z^5 - 50 a^3 z^5 - 29 a^5 z^5 - 8 a^7 z^5 - 
  13 z^6 + (4 z^6)/a^2 - 38 a^2 z^6 - 27 a^4 z^6 - 5 a^6 z^6 + 
  a^8 z^6 + (9 z^7)/a + 12 a z^7 + 6 a^3 z^7 + 6 a^5 z^7 + 
  3 a^7 z^7 + 10 z^8 + 19 a^2 z^8 + 13 a^4 z^8 + 4 a^6 z^8 + 
  5 a z^9 + 8 a^3 z^9 + 3 a^5 z^9 + a^2 z^10 + a^4 z^10, -a^4 - a^6 - 
  3 a^8 - 3 a^10 - a^12 + (2 a^3)/z + (5 a^5)/z + (6 a^7)/z + (4 a^9)/
  z + a^11/z + a z - 7 a^3 z - 23 a^5 z - 29 a^7 z - 18 a^9 z - 
  4 a^11 z + a^2 z^2 + 7 a^8 z^2 + 9 a^10 z^2 + 3 a^12 z^2 - 
  2 a z^3 + 10 a^3 z^3 + 41 a^5 z^3 + 52 a^7 z^3 + 31 a^9 z^3 + 
  8 a^11 z^3 - 4 a^2 z^4 + 5 a^4 z^4 + 15 a^6 z^4 + 4 a^8 z^4 - 
  5 a^10 z^4 - 3 a^12 z^4 + a z^5 - 10 a^3 z^5 - 33 a^5 z^5 - 
  41 a^7 z^5 - 27 a^9 z^5 - 8 a^11 z^5 + 3 a^2 z^6 - 9 a^4 z^6 - 
  28 a^6 z^6 - 22 a^8 z^6 - 5 a^10 z^6 + a^12 z^6 + 6 a^3 z^7 + 
  8 a^5 z^7 + 4 a^7 z^7 + 5 a^9 z^7 + 3 a^11 z^7 + 7 a^4 z^8 + 
  14 a^6 z^8 + 11 a^8 z^8 + 4 a^10 z^8 + 4 a^5 z^9 + 7 a^7 z^9 + 
  3 a^9 z^9 + a^6 z^10 + a^8 z^10, -1 - 1/a^8 - 3/a^6 - 3/a^4 - 1/
  a^2 + 1/(a^7 z) + 4/(a^5 z) + 6/(a^3 z) + 5/(a z) + (2 a)/z - (6 z)/
  a^7 - (20 z)/a^5 - (29 z)/a^3 - (22 z)/a - 7 a z - z^2 - z^2/
  a^10 + (4 z^2)/a^8 + (9 z^2)/a^6 + (6 z^2)/a^4 + z^2/a^2 - (2 z^3)/
  a^9 + (15 z^3)/a^7 + (41 z^3)/a^5 + (48 z^3)/a^3 + (33 z^3)/a + 
  9 a z^3 + 7 z^4 + z^4/a^10 - (6 z^4)/a^8 - (3 z^4)/a^6 + (10 z^4)/
  a^4 + (13 z^4)/a^2 + (3 z^5)/a^9 - (15 z^5)/a^7 - (37 z^5)/a^5 - (
  31 z^5)/a^3 - (17 z^5)/a - 5 a z^5 - 7 z^6 + (6 z^6)/a^8 - (9 z^6)/
  a^6 - (28 z^6)/a^4 - (20 z^6)/a^2 + (9 z^7)/a^7 + (7 z^7)/a^5 - (
  4 z^7)/a^3 - z^7/a + a z^7 + 2 z^8 + (8 z^8)/a^6 + (11 z^8)/a^4 + (
  5 z^8)/a^2 + (4 z^9)/a^5 + (6 z^9)/a^3 + (2 z^9)/a + z^10/a^4 + 
  z^10/a^2, -1 - 1/(a^3 z) - 2/(a z) - (2 a)/z - a^3/z - (2 z)/a^7 - (
  2 z)/a^5 + (3 z)/a^3 + (8 z)/a + 8 a z + 3 a^3 z + 4 z^2 + (2 z^2)/
  a^8 - z^2/a^6 - (2 z^2)/a^4 + (3 z^2)/a^2 + 2 a^2 z^2 + (7 z^3)/
  a^7 + (5 z^3)/a^5 - (6 z^3)/a^3 - (10 z^3)/a - 9 a z^3 - 
  3 a^3 z^3 - 7 z^4 - (3 z^4)/a^8 + (5 z^4)/a^6 + (10 z^4)/a^4 - z^4/
  a^2 - 4 a^2 z^4 - (9 z^5)/a^7 - (4 z^5)/a^5 + (10 z^5)/a^3 + (
  5 z^5)/a + a z^5 + a^3 z^5 + 2 z^6 + z^6/a^8 - (10 z^6)/a^6 - (
  13 z^6)/a^4 - (2 z^6)/a^2 + 2 a^2 z^6 + (3 z^7)/a^7 - (4 z^7)/
  a^5 - (10 z^7)/a^3 - z^7/a + 2 a z^7 + 2 z^8 + (4 z^8)/a^6 + (
  4 z^8)/a^4 + (2 z^8)/a^2 + (3 z^9)/a^5 + (5 z^9)/a^3 + (2 z^9)/a + 
  z^10/a^4 + z^10/a^2, -8 a^4 - 14 a^6 - 9 a^8 - 2 a^10 + (4 a^3)/
  z + (8 a^5)/z + (5 a^7)/z + a^9/z - 2 a z - 14 a^3 z - 21 a^5 z - 
  9 a^7 z + a^9 z + a^11 z + z^2 + 2 a^2 z^2 + 13 a^4 z^2 + 
  29 a^6 z^2 + 22 a^8 z^2 + 5 a^10 z^2 + 8 a z^3 + 25 a^3 z^3 + 
  33 a^5 z^3 + 16 a^7 z^3 - 2 a^9 z^3 - 2 a^11 z^3 - 2 z^4 + 
  3 a^2 z^4 + 5 a^4 z^4 - 12 a^6 z^4 - 18 a^8 z^4 - 6 a^10 z^4 - 
  10 a z^5 - 24 a^3 z^5 - 27 a^5 z^5 - 17 a^7 z^5 - 3 a^9 z^5 + 
  a^11 z^5 + z^6 - 12 a^2 z^6 - 26 a^4 z^6 - 13 a^6 z^6 + 3 a^8 z^6 + 
  3 a^10 z^6 + 4 a z^7 + 2 a^3 z^7 + 6 a^7 z^7 + 4 a^9 z^7 + 
  6 a^2 z^8 + 12 a^4 z^8 + 10 a^6 z^8 + 4 a^8 z^8 + 4 a^3 z^9 + 
  7 a^5 z^9 + 3 a^7 z^9 + a^4 z^10 + a^6 z^10, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 2/(a^3 z) + 1/(a z) - a/z - 
  a^3/z - (2 z)/a^7 - (7 z)/a^5 - (13 z)/a^3 - (8 z)/a + 3 a z + 
  3 a^3 z - 5 z^2 + z^2/a^8 - (2 z^2)/a^6 - (5 z^2)/a^4 - (7 z^2)/
  a^2 + (8 z^3)/a^7 + (13 z^3)/a^5 + (15 z^3)/a^3 + (11 z^3)/a - 
  2 a z^3 - 3 a^3 z^3 + z^4 - (3 z^4)/a^8 + (9 z^4)/a^6 + (17 z^4)/
  a^4 + (9 z^4)/a^2 - 3 a^2 z^4 - (10 z^5)/a^7 - (5 z^5)/a^5 + z^5/
  a^3 - (8 z^5)/a - 3 a z^5 + a^3 z^5 - 2 z^6 + z^6/a^8 - (12 z^6)/
  a^6 - (16 z^6)/a^4 - (7 z^6)/a^2 + 2 a^2 z^6 + (3 z^7)/a^7 - (
  5 z^7)/a^5 - (9 z^7)/a^3 + (2 z^7)/a + 3 a z^7 + 3 z^8 + (4 z^8)/
  a^6 + (4 z^8)/a^4 + (3 z^8)/a^2 + (3 z^9)/a^5 + (5 z^9)/a^3 + (
  2 z^9)/a + z^10/a^4 + z^10/a^2, -5 a^8 - 5 a^10 + a^14 + (3 a^7)/
  z + (5 a^9)/z + (2 a^11)/z - 10 a^7 z - 13 a^9 z - 4 a^11 z - 
  2 a^13 z - a^15 z + 7 a^8 z^2 - 2 a^10 z^2 - 14 a^12 z^2 - 
  4 a^14 z^2 + a^16 z^2 - a^5 z^3 + 16 a^7 z^3 + 24 a^9 z^3 + 
  14 a^11 z^3 + 13 a^13 z^3 + 6 a^15 z^3 - 3 a^6 z^4 + 3 a^8 z^4 + 
  34 a^10 z^4 + 41 a^12 z^4 + 11 a^14 z^4 - 2 a^16 z^4 + a^5 z^5 - 
  17 a^7 z^5 - 25 a^9 z^5 - 12 a^11 z^5 - 14 a^13 z^5 - 9 a^15 z^5 + 
  4 a^6 z^6 - 16 a^8 z^6 - 52 a^10 z^6 - 48 a^12 z^6 - 15 a^14 z^6 + 
  a^16 z^6 + 10 a^7 z^7 + 2 a^9 z^7 - 15 a^11 z^7 - 3 a^13 z^7 + 
  4 a^15 z^7 + 12 a^8 z^8 + 22 a^10 z^8 + 17 a^12 z^8 + 7 a^14 z^8 + 
  8 a^9 z^9 + 14 a^11 z^9 + 6 a^13 z^9 + 2 a^10 z^10 + 
  2 a^12 z^10, -3 - 2/a^4 - 5/a^2 + a^2 + 1/(a^3 z) + 2/(a z) - a^3/
  z - (2 z)/a^3 - (4 z)/a + 2 a z + 2 a^3 z - 2 a^5 z - 2 z^2 + (
  5 z^2)/a^4 + (10 z^2)/a^2 - 12 a^2 z^2 - 5 a^4 z^2 + (10 z^3)/
  a^3 + (13 z^3)/a - 2 a z^3 + 5 a^5 z^3 + 29 z^4 + z^4/a^6 - (9 z^4)/
  a^4 - (2 z^4)/a^2 + 34 a^2 z^4 + 13 a^4 z^4 + (4 z^5)/a^5 - (
  21 z^5)/a^3 - (22 z^5)/a + 14 a z^5 + 7 a^3 z^5 - 4 a^5 z^5 - 
  47 z^6 + (10 z^6)/a^4 - (18 z^6)/a^2 - 30 a^2 z^6 - 11 a^4 z^6 + (
  15 z^7)/a^3 - z^7/a - 28 a z^7 - 11 a^3 z^7 + a^5 z^7 + 16 z^8 + (
  14 z^8)/a^2 + 5 a^2 z^8 + 3 a^4 z^8 + (8 z^9)/a + 12 a z^9 + 
  4 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z + (2 z)/a + 
  7 a z + 4 a^3 z + a^7 z - 11 z^2 - (4 z^2)/a^2 - 7 a^2 z^2 + 
  3 a^4 z^2 + 3 a^6 z^2 + (3 z^3)/a^3 - (6 z^3)/a - 20 a z^3 - 
  9 a^3 z^3 - 2 a^7 z^3 + 31 z^4 - (2 z^4)/a^4 + (16 z^4)/a^2 + 
  14 a^2 z^4 - 5 a^4 z^4 - 6 a^6 z^4 - (10 z^5)/a^3 + (13 z^5)/a + 
  38 a z^5 + 9 a^3 z^5 - 5 a^5 z^5 + a^7 z^5 - 27 z^6 + z^6/a^4 - (
  21 z^6)/a^2 - 10 a^2 z^6 - 2 a^4 z^6 + 3 a^6 z^6 + (4 z^7)/a^3 - (
  16 z^7)/a - 30 a z^7 - 6 a^3 z^7 + 4 a^5 z^7 + 5 z^8 + (7 z^8)/
  a^2 + 2 a^2 z^8 + 4 a^4 z^8 + (6 z^9)/a + 10 a z^9 + 4 a^3 z^9 + 
  2 z^10 + 2 a^2 z^10, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z + 7 a z + 
  13 a^3 z + 6 a^5 z - 2 z^2 - 6 a^2 z^2 - 8 a^4 z^2 - 2 a^6 z^2 + 
  a^8 z^2 - a^10 z^2 + (3 z^3)/a - 19 a z^3 - 46 a^3 z^3 - 
  18 a^5 z^3 + 2 a^7 z^3 - 4 a^9 z^3 + 13 z^4 + 11 a^2 z^4 + 
  11 a^4 z^4 + 7 a^6 z^4 - 5 a^8 z^4 + a^10 z^4 - (4 z^5)/a + 
  28 a z^5 + 63 a^3 z^5 + 23 a^5 z^5 - 5 a^7 z^5 + 3 a^9 z^5 - 
  13 z^6 - 4 a^2 z^6 - 3 a^4 z^6 - 8 a^6 z^6 + 4 a^8 z^6 + z^7/a - 
  19 a z^7 - 38 a^3 z^7 - 14 a^5 z^7 + 4 a^7 z^7 + 3 z^8 - 
  5 a^2 z^8 - 4 a^4 z^8 + 4 a^6 z^8 + 4 a z^9 + 8 a^3 z^9 + 
  4 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, -1 + 1/(a z) + a/z - (2 z)/a + 
  6 a^3 z + 4 a^5 z - 2 z^2 - 3 a^2 z^2 - 4 a^4 z^2 - a^6 z^2 + 
  2 a^8 z^2 - z^3/a^3 + (7 z^3)/a - 25 a^3 z^3 - 10 a^5 z^3 + 
  7 a^7 z^3 + 10 z^4 - (5 z^4)/a^2 + 14 a^2 z^4 + 7 a^4 z^4 + 
  5 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (14 z^5)/a + a z^5 + 34 a^3 z^5 + 
  9 a^5 z^5 - 9 a^7 z^5 - 16 z^6 + (4 z^6)/a^2 - 18 a^2 z^6 - 
  8 a^4 z^6 - 9 a^6 z^6 + a^8 z^6 + (8 z^7)/a - 6 a z^7 - 
  25 a^3 z^7 - 8 a^5 z^7 + 3 a^7 z^7 + 9 z^8 + 7 a^2 z^8 + 
  2 a^4 z^8 + 4 a^6 z^8 + 6 a z^9 + 10 a^3 z^9 + 4 a^5 z^9 + 
  2 a^2 z^10 + 2 a^4 z^10, -2 - 3 a^2 - 3 a^4 - a^6 + 2/(a z) + (4 a)/
  z + (3 a^3)/z + a^5/z - (7 z)/a - 15 a z - 7 a^3 z + 2 a^5 z + 
  a^7 z - z^2 + 4 a^2 z^2 + 5 a^4 z^2 + a^6 z^2 + a^8 z^2 - (2 z^3)/
  a^3 + (14 z^3)/a + 25 a z^3 - 3 a^3 z^3 - 6 a^5 z^3 + 6 a^7 z^3 + 
  14 z^4 - (5 z^4)/a^2 + 12 a^2 z^4 + 5 a^6 z^4 - 2 a^8 z^4 + z^5/
  a^3 - (14 z^5)/a - 9 a z^5 + 17 a^3 z^5 + a^5 z^5 - 10 a^7 z^5 - 
  15 z^6 + (3 z^6)/a^2 - 17 a^2 z^6 - 13 a^4 z^6 - 13 a^6 z^6 + 
  a^8 z^6 + (6 z^7)/a - 4 a z^7 - 21 a^3 z^7 - 7 a^5 z^7 + 
  4 a^7 z^7 + 7 z^8 + 6 a^2 z^8 + 5 a^4 z^8 + 6 a^6 z^8 + 5 a z^9 + 
  10 a^3 z^9 + 5 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 2 + 1/a^2 + 3 a^2 + a^4 - 1/(a^3 z) - 1/(a z) + a/z + (2 a^3)/z + 
  a^5/z + (3 z)/a^3 + (3 z)/a - 6 a z - 7 a^3 z - a^5 z - 7 z^2 - 
  10 a^2 z^2 - 6 a^4 z^2 - 3 a^6 z^2 + z^3/a^5 - (6 z^3)/a^3 - (
  3 z^3)/a + 6 a z^3 - 15 a^3 z^3 - 17 a^5 z^3 + 12 z^4 + (3 z^4)/
  a^4 - (8 z^4)/a^2 + 29 a^2 z^4 + 13 a^4 z^4 + 7 a^6 z^4 + (6 z^5)/
  a^3 - (10 z^5)/a + 5 a z^5 + 51 a^3 z^5 + 30 a^5 z^5 - 18 z^6 + (
  7 z^6)/a^2 - 20 a^2 z^6 - 5 a^6 z^6 + (7 z^7)/a - 14 a z^7 - 
  38 a^3 z^7 - 17 a^5 z^7 + 7 z^8 - a^2 z^8 - 7 a^4 z^8 + a^6 z^8 + 
  5 a z^9 + 8 a^3 z^9 + 3 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, -3 - 1/
  a^2 - 3 a^2 - 2 a^4 + 1/(a z) + (3 a)/z + (4 a^3)/z + (2 a^5)/z + z/
  a^3 - (2 z)/a - 13 a z - 18 a^3 z - 7 a^5 z + a^7 z + 4 z^2 + z^2/
  a^2 + 4 a^2 z^2 + 2 a^4 z^2 + a^6 z^2 + (3 z^3)/a^3 + (7 z^3)/a + 
  24 a z^3 + 32 a^3 z^3 + 10 a^5 z^3 - 2 a^7 z^3 + 19 z^4 - z^4/
  a^4 + (11 z^4)/a^2 + 14 a^2 z^4 + 3 a^4 z^4 - 4 a^6 z^4 - (10 z^5)/
  a^3 - (8 z^5)/a - 11 a z^5 - 24 a^3 z^5 - 10 a^5 z^5 + a^7 z^5 - 
  38 z^6 + z^6/a^4 - (21 z^6)/a^2 - 27 a^2 z^6 - 8 a^4 z^6 + 
  3 a^6 z^6 + (5 z^7)/a^3 - (8 z^7)/a - 15 a z^7 + 4 a^3 z^7 + 
  6 a^5 z^7 + 14 z^8 + (9 z^8)/a^2 + 12 a^2 z^8 + 7 a^4 z^8 + (7 z^9)/
  a + 12 a z^9 + 5 a^3 z^9 + 2 z^10 + 2 a^2 z^10, -3 - 1/a^2 - 
  3 a^2 - 2 a^4 + 1/(a z) + (3 a)/z + (4 a^3)/z + (2 a^5)/z + z/
  a^3 - (3 z)/a - 13 a z - 16 a^3 z - 7 a^5 z + 7 z^2 + (2 z^2)/
  a^4 + (7 z^2)/a^2 + 3 a^2 z^2 + a^4 z^2 - (3 z^3)/a^5 - z^3/a^3 + (
  11 z^3)/a + 25 a z^3 + 25 a^3 z^3 + 9 a^5 z^3 + 7 z^4 + z^4/a^6 - (
  7 z^4)/a^4 - (7 z^4)/a^2 + 12 a^2 z^4 + 6 a^4 z^4 + (4 z^5)/a^5 - (
  7 z^5)/a^3 - (16 z^5)/a - 13 a z^5 - 13 a^3 z^5 - 5 a^5 z^5 - 
  23 z^6 + (7 z^6)/a^4 - (5 z^6)/a^2 - 18 a^2 z^6 - 7 a^4 z^6 + (
  8 z^7)/a^3 + (2 z^7)/a - 9 a z^7 - 2 a^3 z^7 + a^5 z^7 + 9 z^8 + (
  7 z^8)/a^2 + 4 a^2 z^8 + 2 a^4 z^8 + (4 z^9)/a + 6 a z^9 + 
  2 a^3 z^9 + z^10 + a^2 z^10, -2 a^4 - 3 a^6 - 3 a^8 - a^10 + (
  2 a^3)/z + (4 a^5)/z + (3 a^7)/z + a^9/z - 8 a^3 z - 17 a^5 z - 
  12 a^7 z - 2 a^9 z + a^11 z - 2 a^2 z^2 - 2 a^4 z^2 + 5 a^6 z^2 + 
  8 a^8 z^2 + 3 a^10 z^2 + 7 a z^3 + 17 a^3 z^3 + 26 a^5 z^3 + 
  22 a^7 z^3 + 4 a^9 z^3 - 2 a^11 z^3 - 2 z^4 + 12 a^2 z^4 + 
  22 a^4 z^4 + 6 a^6 z^4 - 7 a^8 z^4 - 5 a^10 z^4 - 11 a z^5 - 
  14 a^3 z^5 - 17 a^5 z^5 - 22 a^7 z^5 - 7 a^9 z^5 + a^11 z^5 + z^6 - 
  16 a^2 z^6 - 30 a^4 z^6 - 18 a^6 z^6 - 2 a^8 z^6 + 3 a^10 z^6 + 
  4 a z^7 - 2 a^3 z^7 - 4 a^5 z^7 + 7 a^7 z^7 + 5 a^9 z^7 + 
  6 a^2 z^8 + 11 a^4 z^8 + 10 a^6 z^8 + 5 a^8 z^8 + 4 a^3 z^9 + 
  7 a^5 z^9 + 3 a^7 z^9 + a^4 z^10 + a^6 z^10, 
 7 a^10 + 7 a^12 + a^18 - (4 a^9)/z - (7 a^11)/z - (3 a^13)/z - 
  a^7 z + 18 a^9 z + 29 a^11 z + 10 a^13 z - a^8 z^2 - 23 a^10 z^2 - 
  22 a^12 z^2 - 2 a^16 z^2 - 2 a^18 z^2 + 6 a^7 z^3 - 35 a^9 z^3 - 
  57 a^11 z^3 - 12 a^13 z^3 + a^15 z^3 - 3 a^17 z^3 + 9 a^8 z^4 + 
  27 a^10 z^4 + 24 a^12 z^4 + 4 a^14 z^4 - a^16 z^4 + a^18 z^4 - 
  5 a^7 z^5 + 34 a^9 z^5 + 55 a^11 z^5 + 12 a^13 z^5 - 2 a^15 z^5 + 
  2 a^17 z^5 - 9 a^8 z^6 - 12 a^10 z^6 - 9 a^12 z^6 - 4 a^14 z^6 + 
  2 a^16 z^6 + a^7 z^7 - 17 a^9 z^7 - 27 a^11 z^7 - 7 a^13 z^7 + 
  2 a^15 z^7 + 2 a^8 z^8 - a^10 z^8 - a^12 z^8 + 2 a^14 z^8 + 
  3 a^9 z^9 + 5 a^11 z^9 + 2 a^13 z^9 + a^10 z^10 + a^12 z^10, -a^8 + 
  5 a^10 + 6 a^12 - a^14 - 2 a^16 + a^7/z - a^9/z - (4 a^11)/z - (
  2 a^13)/z - 6 a^7 z + 3 a^9 z + 16 a^11 z + 8 a^13 z + a^15 z - 
  19 a^10 z^2 - 17 a^12 z^2 + 7 a^14 z^2 + 5 a^16 z^2 - 2 a^5 z^3 + 
  14 a^7 z^3 - 4 a^9 z^3 - 36 a^11 z^3 - 12 a^13 z^3 + 4 a^15 z^3 - 
  5 a^6 z^4 + 10 a^8 z^4 + 30 a^10 z^4 + 13 a^12 z^4 - 6 a^14 z^4 - 
  4 a^16 z^4 + a^5 z^5 - 15 a^7 z^5 + 8 a^9 z^5 + 35 a^11 z^5 + 
  5 a^13 z^5 - 6 a^15 z^5 + 3 a^6 z^6 - 13 a^8 z^6 - 20 a^10 z^6 - 
  7 a^12 z^6 - 2 a^14 z^6 + a^16 z^6 + 6 a^7 z^7 - 7 a^9 z^7 - 
  18 a^11 z^7 - 3 a^13 z^7 + 2 a^15 z^7 + 6 a^8 z^8 + 6 a^10 z^8 + 
  2 a^12 z^8 + 2 a^14 z^8 + 4 a^9 z^9 + 6 a^11 z^9 + 2 a^13 z^9 + 
  a^10 z^10 + a^12 z^10, -3 a^8 + 3 a^12 - a^16 + (2 a^7)/z + (2 a^9)/
  z - a^11/z - a^13/z - 8 a^7 z - 6 a^9 z + 3 a^11 z - a^15 z + 
  3 a^8 z^2 - 10 a^10 z^2 - 13 a^12 z^2 + 3 a^14 z^2 + 3 a^16 z^2 - 
  2 a^5 z^3 + 16 a^7 z^3 + 14 a^9 z^3 - 4 a^11 z^3 + 6 a^13 z^3 + 
  6 a^15 z^3 - 5 a^6 z^4 + 7 a^8 z^4 + 30 a^10 z^4 + 20 a^12 z^4 - 
  a^14 z^4 - 3 a^16 z^4 + a^5 z^5 - 15 a^7 z^5 - 7 a^9 z^5 + 
  6 a^11 z^5 - 11 a^13 z^5 - 8 a^15 z^5 + 3 a^6 z^6 - 11 a^8 z^6 - 
  28 a^10 z^6 - 22 a^12 z^6 - 7 a^14 z^6 + a^16 z^6 + 6 a^7 z^7 - 
  2 a^9 z^7 - 11 a^11 z^7 + 3 a^15 z^7 + 6 a^8 z^8 + 10 a^10 z^8 + 
  8 a^12 z^8 + 4 a^14 z^8 + 4 a^9 z^9 + 7 a^11 z^9 + 3 a^13 z^9 + 
  a^10 z^10 + a^12 z^10, 
 1/a^14 + 7/a^8 + 7/a^6 - 3/(a^9 z) - 7/(a^7 z) - 4/(a^5 z) + (12 z)/
  a^9 + (30 z)/a^7 + (18 z)/a^5 + z^2/a^16 - (3 z^2)/a^14 - (23 z^2)/
  a^8 - (19 z^2)/a^6 + (2 z^3)/a^15 - (4 z^3)/a^13 + (4 z^3)/a^11 - (
  25 z^3)/a^9 - (65 z^3)/a^7 - (30 z^3)/a^5 + (3 z^4)/a^14 - (6 z^4)/
  a^12 + (10 z^4)/a^10 + (27 z^4)/a^8 + (8 z^4)/a^6 + (3 z^5)/a^13 - (
  9 z^5)/a^11 + (31 z^5)/a^9 + (66 z^5)/a^7 + (23 z^5)/a^5 + (3 z^6)/
  a^12 - (12 z^6)/a^10 - (7 z^6)/a^8 + (8 z^6)/a^6 + (3 z^7)/a^11 - (
  17 z^7)/a^9 - (28 z^7)/a^7 - (8 z^7)/a^5 + (3 z^8)/a^10 - (3 z^8)/
  a^8 - (6 z^8)/a^6 + (3 z^9)/a^9 + (4 z^9)/a^7 + z^9/a^5 + z^10/a^8 +
   z^10/a^6, -(2/a^12) - 1/a^10 + 6/a^8 + 5/a^6 - 1/a^4 - 2/(a^9 z) - 
  4/(a^7 z) - 1/(a^5 z) + 1/(a^3 z) + z/a^11 + (10 z)/a^9 + (17 z)/
  a^7 + (3 z)/a^5 - (5 z)/a^3 - (2 z^2)/a^14 + (6 z^2)/a^12 + (4 z^2)/
  a^10 - (20 z^2)/a^8 - (15 z^2)/a^6 + z^2/a^4 - (3 z^3)/a^13 + (
  4 z^3)/a^11 - (22 z^3)/a^9 - (35 z^3)/a^7 + (2 z^3)/a^5 + (8 z^3)/
  a^3 + z^4/a^14 - (6 z^4)/a^12 + (4 z^4)/a^10 + (22 z^4)/a^8 + (
  18 z^4)/a^6 + (7 z^4)/a^4 + (2 z^5)/a^13 - (5 z^5)/a^11 + (22 z^5)/
  a^9 + (35 z^5)/a^7 + z^5/a^5 - (5 z^5)/a^3 + (3 z^6)/a^12 - (6 z^6)/
  a^10 - (12 z^6)/a^8 - (11 z^6)/a^6 - (8 z^6)/a^4 + (3 z^7)/a^11 - (
  11 z^7)/a^9 - (21 z^7)/a^7 - (6 z^7)/a^5 + z^7/a^3 + (3 z^8)/a^10 + 
  z^8/a^8 + (2 z^8)/a^4 + (3 z^9)/a^9 + (5 z^9)/a^7 + (2 z^9)/a^5 + 
  z^10/a^8 + z^10/a^6, -(1/a^12) + 3/a^8 - 3/a^4 - 1/(a^9 z) - 1/(
  a^7 z) + 2/(a^5 z) + 2/(a^3 z) - z/a^11 + (2 z)/a^9 + (4 z)/a^7 - (
  6 z)/a^5 - (7 z)/a^3 - z^2/a^14 + (5 z^2)/a^12 + z^2/a^10 - (
  13 z^2)/a^8 - (4 z^2)/a^6 + (4 z^2)/a^4 - (2 z^3)/a^13 + (9 z^3)/
  a^11 - (5 z^3)/a^7 + (15 z^3)/a^5 + (9 z^3)/a^3 + z^4/a^14 - (
  7 z^4)/a^12 + (3 z^4)/a^10 + (19 z^4)/a^8 + (13 z^4)/a^6 + (5 z^4)/
  a^4 + (3 z^5)/a^13 - (12 z^5)/a^11 - (6 z^5)/a^9 + (6 z^5)/a^7 - (
  8 z^5)/a^5 - (5 z^5)/a^3 + (6 z^6)/a^12 - (9 z^6)/a^10 - (23 z^6)/
  a^8 - (15 z^6)/a^6 - (7 z^6)/a^4 + (8 z^7)/a^11 - z^7/a^9 - (
  13 z^7)/a^7 - (3 z^7)/a^5 + z^7/a^3 + (7 z^8)/a^10 + (8 z^8)/a^8 + (
  3 z^8)/a^6 + (2 z^8)/a^4 + (4 z^9)/a^9 + (6 z^9)/a^7 + (2 z^9)/a^5 +
   z^10/a^8 + z^10/a^6, -1 - 4 a^2 - 7 a^4 - 4 a^6 - a^8 + a/z + (
  4 a^3)/z + (4 a^5)/z + a^7/z - z/a - 4 a z - 14 a^3 z - 15 a^5 z - 
  4 a^7 z + 4 z^2 + (2 z^2)/a^2 + 10 a^2 z^2 + 16 a^4 z^2 + 
  11 a^6 z^2 + 3 a^8 z^2 - z^3/a^3 + (6 z^3)/a + 17 a z^3 + 
  27 a^3 z^3 + 25 a^5 z^3 + 8 a^7 z^3 - 3 z^4 - (6 z^4)/a^2 + 
  3 a^2 z^4 - 3 a^4 z^4 - 6 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (11 z^5)/
  a - 23 a z^5 - 26 a^3 z^5 - 23 a^5 z^5 - 8 a^7 z^5 - 6 z^6 + (
  4 z^6)/a^2 - 22 a^2 z^6 - 18 a^4 z^6 - 5 a^6 z^6 + a^8 z^6 + (
  7 z^7)/a + 7 a z^7 + a^3 z^7 + 4 a^5 z^7 + 3 a^7 z^7 + 7 z^8 + 
  13 a^2 z^8 + 10 a^4 z^8 + 4 a^6 z^8 + 4 a z^9 + 7 a^3 z^9 + 
  3 a^5 z^9 + a^2 z^10 + a^4 z^10, 
 4/a^10 + 9/a^8 + 4/a^6 - 2/a^4 - 1/(a^9 z) - 1/(a^7 z) + 2/(a^5 z) + 
  2/(a^3 z) + (2 z)/a^9 - z/a^7 - (11 z)/a^5 - (7 z)/a^3 + z/a + (
  4 z^2)/a^12 - (12 z^2)/a^10 - (34 z^2)/a^8 - (15 z^2)/a^6 + (4 z^2)/
  a^4 + z^2/a^2 + (4 z^3)/a^11 - (11 z^3)/a^9 + (3 z^3)/a^7 + (
  27 z^3)/a^5 + (7 z^3)/a^3 - (2 z^3)/a - (4 z^4)/a^12 + (12 z^4)/
  a^10 + (39 z^4)/a^8 + (27 z^4)/a^6 - z^4/a^4 - (5 z^4)/a^2 - (
  6 z^5)/a^11 + (12 z^5)/a^9 + (8 z^5)/a^7 - (20 z^5)/a^5 - (9 z^5)/
  a^3 + z^5/a + z^6/a^12 - (9 z^6)/a^10 - (22 z^6)/a^8 - (21 z^6)/
  a^6 - (6 z^6)/a^4 + (3 z^6)/a^2 + (2 z^7)/a^11 - (8 z^7)/a^9 - (
  12 z^7)/a^7 + (3 z^7)/a^5 + (5 z^7)/a^3 + (3 z^8)/a^10 + (5 z^8)/
  a^8 + (7 z^8)/a^6 + (5 z^8)/a^4 + (3 z^9)/a^9 + (6 z^9)/a^7 + (
  3 z^9)/a^5 + z^10/a^8 + z^10/a^6, 
 a^2 + 2 a^4 + 3 a^6 + a^8 - a/z - a^3/z + a^5/z + (2 a^7)/z + a^9/
  z + 3 a z + 2 a^3 z - 8 a^5 z - 12 a^7 z - 5 a^9 z - 4 a^2 z^2 - 
  12 a^4 z^2 - 12 a^6 z^2 - 4 a^8 z^2 - (3 z^3)/a + 4 a^3 z^3 + 
  11 a^5 z^3 + 18 a^7 z^3 + 8 a^9 z^3 - 7 z^4 + z^4/a^2 + 6 a^2 z^4 + 
  30 a^4 z^4 + 25 a^6 z^4 + 9 a^8 z^4 + (4 z^5)/a - 9 a z^5 - 
  7 a^3 z^5 + 4 a^5 z^5 - 7 a^7 z^5 - 5 a^9 z^5 + 7 z^6 - 
  10 a^2 z^6 - 29 a^4 z^6 - 20 a^6 z^6 - 8 a^8 z^6 + 8 a z^7 - 
  2 a^3 z^7 - 15 a^5 z^7 - 4 a^7 z^7 + a^9 z^7 + 7 a^2 z^8 + 
  8 a^4 z^8 + 3 a^6 z^8 + 2 a^8 z^8 + 4 a^3 z^9 + 6 a^5 z^9 + 
  2 a^7 z^9 + a^4 z^10 + a^6 z^10, 
 a^6 + 4 a^10 + 7 a^12 + 3 a^14 - a^5/z - a^7/z - a^9/z - (2 a^11)/z -
   a^13/z + 3 a^5 z + 2 a^7 z + 5 a^9 z + 9 a^11 z + 3 a^13 z - 
  a^8 z^2 - 23 a^10 z^2 - 32 a^12 z^2 - 10 a^14 z^2 + a^3 z^3 - 
  6 a^5 z^3 - 4 a^9 z^3 - 23 a^11 z^3 - 12 a^13 z^3 + 3 a^4 z^4 - 
  8 a^6 z^4 + 4 a^8 z^4 + 48 a^10 z^4 + 45 a^12 z^4 + 12 a^14 z^4 + 
  6 a^5 z^5 - 11 a^7 z^5 + 4 a^9 z^5 + 40 a^11 z^5 + 19 a^13 z^5 + 
  7 a^6 z^6 - 13 a^8 z^6 - 34 a^10 z^6 - 20 a^12 z^6 - 6 a^14 z^6 + 
  7 a^7 z^7 - 10 a^9 z^7 - 28 a^11 z^7 - 11 a^13 z^7 + 6 a^8 z^8 + 
  5 a^10 z^8 + a^14 z^8 + 4 a^9 z^9 + 6 a^11 z^9 + 2 a^13 z^9 + 
  a^10 z^10 + a^12 z^10, 
 3/a^10 + 7/a^8 + 4/a^6 + 1/a^2 - 1/(a^9 z) - 2/(a^7 z) - 1/(a^5 z) - 
  1/(a^3 z) - 1/(a z) + (5 z)/a^9 + (10 z)/a^7 + (5 z)/a^5 + (3 z)/
  a^3 + (3 z)/a + (3 z^2)/a^12 - (11 z^2)/a^10 - (29 z^2)/a^8 - (
  15 z^2)/a^6 + (4 z^3)/a^11 - (17 z^3)/a^9 - (25 z^3)/a^7 - (7 z^3)/
  a^5 - (6 z^3)/a^3 - (3 z^3)/a - (4 z^4)/a^12 + (15 z^4)/a^10 + (
  39 z^4)/a^8 + (23 z^4)/a^6 - z^4/a^4 - (4 z^4)/a^2 - (7 z^5)/
  a^11 + (21 z^5)/a^9 + (38 z^5)/a^7 + (8 z^5)/a^5 - z^5/a^3 + z^5/a +
   z^6/a^12 - (12 z^6)/a^10 - (18 z^6)/a^8 - (9 z^6)/a^6 - (2 z^6)/
  a^4 + (2 z^6)/a^2 + (2 z^7)/a^11 - (13 z^7)/a^9 - (22 z^7)/a^7 - (
  5 z^7)/a^5 + (2 z^7)/a^3 + (3 z^8)/a^10 + z^8/a^8 + (2 z^8)/a^4 + (
  3 z^9)/a^9 + (5 z^9)/a^7 + (2 z^9)/a^5 + z^10/a^8 + z^10/a^6, 
 2 a^6 - 2 a^10 - a^12 + a^3/z + (2 a^5)/z + (3 a^7)/z + (3 a^9)/z + 
  a^11/z - 5 a^3 z - 11 a^5 z - 15 a^7 z - 12 a^9 z - 3 a^11 z - 
  5 a^4 z^2 - 15 a^6 z^2 - 9 a^8 z^2 + 4 a^10 z^2 + 3 a^12 z^2 - 
  a z^3 + 10 a^3 z^3 + 26 a^5 z^3 + 26 a^7 z^3 + 17 a^9 z^3 + 
  6 a^11 z^3 - 4 a^2 z^4 + 16 a^4 z^4 + 44 a^6 z^4 + 28 a^8 z^4 + 
  a^10 z^4 - 3 a^12 z^4 + a z^5 - 14 a^3 z^5 - 22 a^5 z^5 - 
  13 a^7 z^5 - 13 a^9 z^5 - 7 a^11 z^5 + 4 a^2 z^6 - 21 a^4 z^6 - 
  52 a^6 z^6 - 36 a^8 z^6 - 8 a^10 z^6 + a^12 z^6 + 9 a^3 z^7 - 
  a^5 z^7 - 15 a^7 z^7 - 2 a^9 z^7 + 3 a^11 z^7 + 12 a^4 z^8 + 
  20 a^6 z^8 + 13 a^8 z^8 + 5 a^10 z^8 + 8 a^5 z^9 + 13 a^7 z^9 + 
  5 a^9 z^9 + 2 a^6 z^10 + 2 a^8 z^10, 
 1 + 3 a^2 + 2 a^4 + a^6 + 1/(a z) + (2 a)/z + a^3/z - a^5/z - a^7/
  z - (6 z)/a - 13 a z - 7 a^3 z + 3 a^5 z + 3 a^7 z - 15 z^2 - (
  4 z^2)/a^2 - 16 a^2 z^2 - 5 a^4 z^2 + (7 z^3)/a^3 + (18 z^3)/a + 
  23 a z^3 + 12 a^3 z^3 - 3 a^5 z^3 - 3 a^7 z^3 + 35 z^4 - (2 z^4)/
  a^4 + (12 z^4)/a^2 + 30 a^2 z^4 + 6 a^4 z^4 - 3 a^6 z^4 - (11 z^5)/
  a^3 - (16 z^5)/a - 10 a z^5 - 8 a^3 z^5 - 2 a^5 z^5 + a^7 z^5 - 
  35 z^6 + z^6/a^4 - (16 z^6)/a^2 - 25 a^2 z^6 - 5 a^4 z^6 + 
  2 a^6 z^6 + (4 z^7)/a^3 - (2 z^7)/a - 8 a z^7 + a^3 z^7 + 
  3 a^5 z^7 + 11 z^8 + (6 z^8)/a^2 + 9 a^2 z^8 + 4 a^4 z^8 + (4 z^9)/
  a + 7 a z^9 + 3 a^3 z^9 + z^10 + a^2 z^10, -2 a^8 + 4 a^10 + 
  9 a^12 + 4 a^14 + (2 a^7)/z + (2 a^9)/z - a^11/z - a^13/z + a^5 z - 
  8 a^7 z - 11 a^9 z - 2 a^11 z + a^6 z^2 + a^8 z^2 - 26 a^10 z^2 - 
  38 a^12 z^2 - 12 a^14 z^2 + a^3 z^3 - 4 a^5 z^3 + 20 a^7 z^3 + 
  35 a^9 z^3 + 2 a^11 z^3 - 8 a^13 z^3 + 3 a^4 z^4 - 11 a^6 z^4 + 
  10 a^8 z^4 + 65 a^10 z^4 + 54 a^12 z^4 + 13 a^14 z^4 + 6 a^5 z^5 - 
  28 a^7 z^5 - 28 a^9 z^5 + 22 a^11 z^5 + 16 a^13 z^5 + 9 a^6 z^6 - 
  24 a^8 z^6 - 54 a^10 z^6 - 27 a^12 z^6 - 6 a^14 z^6 + 12 a^7 z^7 - 
  4 a^9 z^7 - 26 a^11 z^7 - 10 a^13 z^7 + 10 a^8 z^8 + 11 a^10 z^8 + 
  2 a^12 z^8 + a^14 z^8 + 5 a^9 z^9 + 7 a^11 z^9 + 2 a^13 z^9 + 
  a^10 z^10 + a^12 z^10, -3 - 1/a^4 - 3/a^2 - a^2 - a^4 + 1/(a^3 z) + 
  4/(a z) + (6 a)/z + (5 a^3)/z + (2 a^5)/z - (4 z)/a^3 - (19 z)/a - 
  29 a z - 21 a^3 z - 7 a^5 z + 4 z^2 + (3 z^2)/a^4 + (9 z^2)/a^2 - 
  3 a^2 z^2 - a^4 z^2 - z^3/a^5 + (11 z^3)/a^3 + (40 z^3)/a + 
  50 a z^3 + 31 a^3 z^3 + 9 a^5 z^3 + 18 z^4 + z^4/a^6 - (8 z^4)/
  a^4 - (5 z^4)/a^2 + 21 a^2 z^4 + 7 a^4 z^4 + (4 z^5)/a^5 - (19 z^5)/
  a^3 - (42 z^5)/a - 30 a z^5 - 16 a^3 z^5 - 5 a^5 z^5 - 38 z^6 + (
  9 z^6)/a^4 - (12 z^6)/a^2 - 24 a^2 z^6 - 7 a^4 z^6 + (13 z^7)/
  a^3 + (9 z^7)/a - 6 a z^7 - a^3 z^7 + a^5 z^7 + 15 z^8 + (11 z^8)/
  a^2 + 6 a^2 z^8 + 2 a^4 z^8 + (5 z^9)/a + 7 a z^9 + 2 a^3 z^9 + 
  z^10 + a^2 z^10, -a^4 - a/z - (2 a^3)/z - (2 a^5)/z - a^7/z - z/a + 
  3 a z + 9 a^3 z + 8 a^5 z + 3 a^7 z - 7 z^2 - (2 z^2)/a^2 - 
  3 a^2 z^2 + 4 a^4 z^2 + 2 a^6 z^2 + (5 z^3)/a^3 + (6 z^3)/a - 
  6 a z^3 - 13 a^3 z^3 - 9 a^5 z^3 - 3 a^7 z^3 + 26 z^4 - (2 z^4)/
  a^4 + (13 z^4)/a^2 + 8 a^2 z^4 - 7 a^4 z^4 - 4 a^6 z^4 - (11 z^5)/
  a^3 - (3 z^5)/a + 14 a z^5 + 6 a^3 z^5 + a^5 z^5 + a^7 z^5 - 
  26 z^6 + z^6/a^4 - (18 z^6)/a^2 - 7 a^2 z^6 + 2 a^4 z^6 + 
  2 a^6 z^6 + (4 z^7)/a^3 - (7 z^7)/a - 14 a z^7 - a^3 z^7 + 
  2 a^5 z^7 + 7 z^8 + (6 z^8)/a^2 + 3 a^2 z^8 + 2 a^4 z^8 + (4 z^9)/
  a + 6 a z^9 + 2 a^3 z^9 + z^10 + a^2 z^10, -5 a^8 - 5 a^10 + 
  a^14 + (3 a^7)/z + (5 a^9)/z + (2 a^11)/z - a^3 z - 9 a^7 z - 
  15 a^9 z - 5 a^11 z - 3 a^4 z^2 - 5 a^6 z^2 + 9 a^8 z^2 + 
  13 a^10 z^2 - 2 a^14 z^2 + 4 a^3 z^3 - 2 a^5 z^3 + 4 a^7 z^3 + 
  20 a^9 z^3 + 8 a^11 z^3 - 2 a^13 z^3 + 15 a^4 z^4 + 17 a^6 z^4 - 
  4 a^8 z^4 - 9 a^10 z^4 - 2 a^12 z^4 + a^14 z^4 - 4 a^3 z^5 + 
  10 a^5 z^5 + 8 a^7 z^5 - 14 a^9 z^5 - 6 a^11 z^5 + 2 a^13 z^5 - 
  13 a^4 z^6 - 16 a^6 z^6 - 6 a^8 z^6 + 3 a^12 z^6 + a^3 z^7 - 
  11 a^5 z^7 - 14 a^7 z^7 + 2 a^9 z^7 + 4 a^11 z^7 + 3 a^4 z^8 + 
  2 a^6 z^8 + 2 a^8 z^8 + 3 a^10 z^8 + 3 a^5 z^9 + 5 a^7 z^9 + 
  2 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 a^6 - 3 a^8 - 5 a^10 - 2 a^12 - a^5/z + (2 a^9)/z + a^11/z - a^3 z + 
  3 a^5 z + a^7 z - 5 a^9 z - 2 a^11 z - 3 a^4 z^2 - 7 a^6 z^2 + 
  4 a^8 z^2 + 13 a^10 z^2 + 5 a^12 z^2 - a z^3 + 5 a^3 z^3 + 
  2 a^5 z^3 - 5 a^7 z^3 + 4 a^9 z^3 + 5 a^11 z^3 - 6 a^2 z^4 + 
  9 a^4 z^4 + 23 a^6 z^4 + 2 a^8 z^4 - 10 a^10 z^4 - 4 a^12 z^4 + 
  a z^5 - 13 a^3 z^5 - 4 a^5 z^5 + 12 a^7 z^5 - 4 a^9 z^5 - 
  6 a^11 z^5 + 4 a^2 z^6 - 13 a^4 z^6 - 22 a^6 z^6 - 7 a^8 z^6 - 
  a^10 z^6 + a^12 z^6 + 7 a^3 z^7 - 2 a^5 z^7 - 12 a^7 z^7 - 
  a^9 z^7 + 2 a^11 z^7 + 7 a^4 z^8 + 8 a^6 z^8 + 3 a^8 z^8 + 
  2 a^10 z^8 + 4 a^5 z^9 + 6 a^7 z^9 + 2 a^9 z^9 + a^6 z^10 + 
  a^8 z^10, 
 1/a^10 - 5/a^6 - 5/a^4 + 2/(a^7 z) + 5/(a^5 z) + 3/(a^3 z) + (2 z)/
  a^9 - (3 z)/a^7 - (15 z)/a^5 - (10 z)/a^3 - z^2/a^14 + z^2/a^12 - (
  3 z^2)/a^10 - z^2/a^8 + (13 z^2)/a^6 + (9 z^2)/a^4 - (4 z^3)/
  a^13 + (2 z^3)/a^11 - (9 z^3)/a^9 - (7 z^3)/a^7 + (20 z^3)/a^5 + (
  12 z^3)/a^3 + z^4/a^14 - (5 z^4)/a^12 + (10 z^4)/a^10 + (5 z^4)/
  a^8 - (13 z^4)/a^6 - (2 z^4)/a^4 + (3 z^5)/a^13 - (5 z^5)/a^11 + (
  14 z^5)/a^9 + (18 z^5)/a^7 - (10 z^5)/a^5 - (6 z^5)/a^3 + (4 z^6)/
  a^12 - (9 z^6)/a^10 - (5 z^6)/a^8 + (5 z^6)/a^6 - (3 z^6)/a^4 + (
  4 z^7)/a^11 - (9 z^7)/a^9 - (15 z^7)/a^7 - z^7/a^5 + z^7/a^3 + (
  4 z^8)/a^10 - (3 z^8)/a^6 + z^8/a^4 + (3 z^9)/a^9 + (4 z^9)/a^7 + 
  z^9/a^5 + z^10/a^8 + z^10/a^6, -(2/a^8) - 5/a^6 - 3/a^4 + 1/a^2 + 
  1/(a^7 z) + 2/(a^5 z) - 1/(a z) + (2 z)/a^9 - (5 z)/a^5 + (3 z)/
  a + (2 z^2)/a^12 - (2 z^2)/a^10 + (3 z^2)/a^8 + (15 z^2)/a^6 + (
  8 z^2)/a^4 + (7 z^3)/a^11 - (4 z^3)/a^9 - (3 z^3)/a^7 + (11 z^3)/
  a^5 - (3 z^3)/a - (3 z^4)/a^12 + (7 z^4)/a^10 - (2 z^4)/a^8 - (
  15 z^4)/a^6 - (6 z^4)/a^4 - (3 z^4)/a^2 - (9 z^5)/a^11 + z^5/a^9 + (
  3 z^5)/a^7 - (11 z^5)/a^5 - (3 z^5)/a^3 + z^5/a + z^6/a^12 - (
  10 z^6)/a^10 - (7 z^6)/a^8 + (2 z^6)/a^6 + (2 z^6)/a^2 + (3 z^7)/
  a^11 - (4 z^7)/a^9 - (6 z^7)/a^7 + (4 z^7)/a^5 + (3 z^7)/a^3 + (
  4 z^8)/a^10 + (4 z^8)/a^8 + (3 z^8)/a^6 + (3 z^8)/a^4 + (3 z^9)/
  a^9 + (5 z^9)/a^7 + (2 z^9)/a^5 + z^10/a^8 + z^10/a^6, 
 a^2 + 2 a^4 + 3 a^6 + a^8 + (2 a^3)/z + (4 a^5)/z + (3 a^7)/z + a^9/
  z - 3 a z - 16 a^3 z - 24 a^5 z - 15 a^7 z - 4 a^9 z + z^2 - 
  3 a^2 z^2 - 15 a^4 z^2 - 17 a^6 z^2 - 6 a^8 z^2 - z^3/a + 
  14 a z^3 + 42 a^3 z^3 + 44 a^5 z^3 + 23 a^7 z^3 + 6 a^9 z^3 - 
  6 z^4 + z^4/a^2 + 14 a^2 z^4 + 53 a^4 z^4 + 44 a^6 z^4 + 
  12 a^8 z^4 + (4 z^5)/a - 22 a z^5 - 41 a^3 z^5 - 19 a^5 z^5 - 
  8 a^7 z^5 - 4 a^9 z^5 + 9 z^6 - 27 a^2 z^6 - 68 a^4 z^6 - 
  42 a^6 z^6 - 10 a^8 z^6 + 15 a z^7 + a^3 z^7 - 22 a^5 z^7 - 
  7 a^7 z^7 + a^9 z^7 + 16 a^2 z^8 + 22 a^4 z^8 + 9 a^6 z^8 + 
  3 a^8 z^8 + 9 a^3 z^9 + 13 a^5 z^9 + 4 a^7 z^9 + 2 a^4 z^10 + 
  2 a^6 z^10, -2 - 8 a^2 - 13 a^4 - 8 a^6 - 2 a^8 + (2 a)/z + (7 a^3)/
  z + (7 a^5)/z + (2 a^7)/z - z/a - 4 a z - 15 a^3 z - 16 a^5 z - 
  4 a^7 z + 4 z^2 + (2 z^2)/a^2 + 13 a^2 z^2 + 24 a^4 z^2 + 
  18 a^6 z^2 + 5 a^8 z^2 - z^3/a^3 + (4 z^3)/a + 9 a z^3 + 
  15 a^3 z^3 + 17 a^5 z^3 + 6 a^7 z^3 - 2 z^4 - (6 z^4)/a^2 + 
  2 a^2 z^4 - 11 a^4 z^4 - 13 a^6 z^4 - 4 a^8 z^4 + z^5/a^3 - (
  11 z^5)/a - 12 a z^5 - 5 a^3 z^5 - 11 a^5 z^5 - 6 a^7 z^5 - 
  8 z^6 + (4 z^6)/a^2 - 16 a^2 z^6 - 5 a^4 z^6 + a^8 z^6 + (7 z^7)/
  a + 2 a z^7 - 6 a^3 z^7 + a^5 z^7 + 2 a^7 z^7 + 7 z^8 + 9 a^2 z^8 + 
  4 a^4 z^8 + 2 a^6 z^8 + 4 a z^9 + 6 a^3 z^9 + 2 a^5 z^9 + a^2 z^10 +
   a^4 z^10, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z - z/a + a^3 z + 
  5 a^5 z + 7 a^7 z + 2 a^9 z - 5 z^2 - 7 a^2 z^2 - 2 a^4 z^2 - 
  3 a^6 z^2 - 5 a^8 z^2 - 2 a^10 z^2 + (4 z^3)/a + a z^3 - 
  6 a^3 z^3 - 7 a^5 z^3 - 7 a^7 z^3 - 3 a^9 z^3 + 15 z^4 + 
  23 a^2 z^4 + 7 a^4 z^4 - a^6 z^4 + a^8 z^4 + a^10 z^4 - (4 z^5)/a + 
  8 a z^5 + 16 a^3 z^5 + 4 a^5 z^5 + 2 a^7 z^5 + 2 a^9 z^5 - 13 z^6 - 
  19 a^2 z^6 - 8 a^4 z^6 + 2 a^8 z^6 + z^7/a - 11 a z^7 - 
  17 a^3 z^7 - 3 a^5 z^7 + 2 a^7 z^7 + 3 z^8 + 2 a^2 z^8 + a^4 z^8 + 
  2 a^6 z^8 + 3 a z^9 + 5 a^3 z^9 + 2 a^5 z^9 + a^2 z^10 + 
  a^4 z^10, -(2/a^10) - 9/a^8 - 14/a^6 - 8/a^4 + 1/(a^9 z) + 5/(
  a^7 z) + 8/(a^5 z) + 4/(a^3 z) + z/a^11 + (3 z)/a^9 - (7 z)/a^7 - (
  21 z)/a^5 - (12 z)/a^3 + (2 z^2)/a^12 + (3 z^2)/a^10 + (20 z^2)/
  a^8 + (33 z^2)/a^6 + (14 z^2)/a^4 - (2 z^3)/a^13 + (4 z^3)/a^11 - (
  5 z^3)/a^9 + (3 z^3)/a^7 + (27 z^3)/a^5 + (13 z^3)/a^3 + z^4/
  a^14 - (8 z^4)/a^12 - (11 z^4)/a^8 - (25 z^4)/a^6 - (5 z^4)/a^4 + (
  4 z^5)/a^13 - (13 z^5)/a^11 - (5 z^5)/a^9 + (3 z^5)/a^7 - (15 z^5)/
  a^5 - (6 z^5)/a^3 + (8 z^6)/a^12 - (9 z^6)/a^10 - (10 z^6)/a^8 + (
  5 z^6)/a^6 - (2 z^6)/a^4 + (10 z^7)/a^11 - (10 z^7)/a^7 + z^7/a^5 + 
  z^7/a^3 + (8 z^8)/a^10 + (6 z^8)/a^8 - z^8/a^6 + z^8/a^4 + (4 z^9)/
  a^9 + (5 z^9)/a^7 + z^9/a^5 + z^10/a^8 + z^10/a^6, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) + (2 z)/
  a^9 + (2 z)/a^7 + (2 z)/a^5 + (7 z)/a^3 + (5 z)/a + z^2/a^12 - (
  3 z^2)/a^10 - z^2/a^8 + z^2/a^6 - (5 z^2)/a^4 - (3 z^2)/a^2 + (
  6 z^3)/a^11 - (7 z^3)/a^9 - (13 z^3)/a^7 - (3 z^3)/a^5 - (7 z^3)/
  a^3 - (4 z^3)/a - (3 z^4)/a^12 + (12 z^4)/a^10 + (7 z^4)/a^8 - (
  6 z^4)/a^6 + z^4/a^4 - z^4/a^2 - (10 z^5)/a^11 + (11 z^5)/a^9 + (
  24 z^5)/a^7 + (3 z^5)/a^5 + z^5/a^3 + z^5/a + z^6/a^12 - (14 z^6)/
  a^10 - (6 z^6)/a^8 + (8 z^6)/a^6 + z^6/a^2 + (3 z^7)/a^11 - (
  10 z^7)/a^9 - (15 z^7)/a^7 - z^7/a^5 + z^7/a^3 + (4 z^8)/a^10 - (
  3 z^8)/a^6 + z^8/a^4 + (3 z^9)/a^9 + (4 z^9)/a^7 + z^9/a^5 + z^10/
  a^8 + z^10/a^6, -1 + 1/(a z) + a/z + (2 z)/a^9 + (2 z)/a^7 - (2 z)/
  a - 2 a z - (4 z^2)/a^10 + (4 z^2)/a^6 - (17 z^3)/a^9 - (17 z^3)/
  a^7 + z^3/a + a z^3 + z^4 + (10 z^4)/a^10 - z^4/a^8 - (10 z^4)/
  a^6 + (26 z^5)/a^9 + (29 z^5)/a^7 + z^5/a^5 - z^5/a^3 + z^5/a - (
  6 z^6)/a^10 + (6 z^6)/a^8 + (9 z^6)/a^6 - (2 z^6)/a^4 + z^6/a^2 - (
  13 z^7)/a^9 - (17 z^7)/a^7 - (3 z^7)/a^5 + z^7/a^3 + z^8/a^10 - (
  5 z^8)/a^8 - (5 z^8)/a^6 + z^8/a^4 + (2 z^9)/a^9 + (3 z^9)/a^7 + 
  z^9/a^5 + z^10/a^8 + z^10/a^6, -2 a^4 - 3 a^6 - 3 a^8 - a^10 + (
  2 a^3)/z + (4 a^5)/z + (3 a^7)/z + a^9/z - 7 a^3 z - 16 a^5 z - 
  13 a^7 z - 3 a^9 z + a^11 z - a^4 z^2 - 5 a^6 z^2 - 5 a^8 z^2 - 
  a^10 z^2 - a z^3 + 12 a^3 z^3 + 36 a^5 z^3 + 33 a^7 z^3 + 
  14 a^9 z^3 + 4 a^11 z^3 - 4 a^2 z^4 + 11 a^4 z^4 + 38 a^6 z^4 + 
  36 a^8 z^4 + 12 a^10 z^4 - a^12 z^4 + a z^5 - 15 a^3 z^5 - 
  33 a^5 z^5 - 24 a^7 z^5 - 17 a^9 z^5 - 10 a^11 z^5 + 4 a^2 z^6 - 
  17 a^4 z^6 - 52 a^6 z^6 - 52 a^8 z^6 - 20 a^10 z^6 + a^12 z^6 + 
  9 a^3 z^7 + 5 a^5 z^7 - 13 a^7 z^7 - 4 a^9 z^7 + 5 a^11 z^7 + 
  11 a^4 z^8 + 21 a^6 z^8 + 19 a^8 z^8 + 9 a^10 z^8 + 7 a^5 z^9 + 
  14 a^7 z^9 + 7 a^9 z^9 + 2 a^6 z^10 + 2 a^8 z^10, -1 - 4 a^2 - 
  7 a^4 - 4 a^6 - a^8 + a/z + (4 a^3)/z + (4 a^5)/z + a^7/z - 4 a z - 
  15 a^3 z - 14 a^5 z - 4 a^7 z - a^9 z + 3 z^2 + 9 a^2 z^2 + 
  8 a^4 z^2 - 2 a^6 z^2 - 4 a^8 z^2 - z^3/a + 11 a z^3 + 34 a^3 z^3 + 
  27 a^5 z^3 + 8 a^7 z^3 + 3 a^9 z^3 - 8 z^4 + z^4/a^2 - 5 a^2 z^4 + 
  24 a^4 z^4 + 35 a^6 z^4 + 15 a^8 z^4 + (4 z^5)/a - 18 a z^5 - 
  37 a^3 z^5 - 8 a^5 z^5 + 4 a^7 z^5 - 3 a^9 z^5 + 9 z^6 - 
  13 a^2 z^6 - 47 a^4 z^6 - 39 a^6 z^6 - 14 a^8 z^6 + 13 a z^7 + 
  4 a^3 z^7 - 23 a^5 z^7 - 13 a^7 z^7 + a^9 z^7 + 12 a^2 z^8 + 
  16 a^4 z^8 + 8 a^6 z^8 + 4 a^8 z^8 + 7 a^3 z^9 + 12 a^5 z^9 + 
  5 a^7 z^9 + 2 a^4 z^10 + 2 a^6 z^10, -a^4 + a^3/z + a^5/z - 
  2 a^3 z - a^5 z - a^9 z - 2 a^2 z^2 - 4 a^4 z^2 - 3 a^6 z^2 + 
  a^8 z^2 + 2 a^10 z^2 + 6 a z^3 + 4 a^3 z^3 - 4 a^5 z^3 + 
  6 a^7 z^3 + 7 a^9 z^3 - a^11 z^3 - 2 z^4 + 14 a^2 z^4 + 
  24 a^4 z^4 + 14 a^6 z^4 + a^8 z^4 - 5 a^10 z^4 - 10 a z^5 + 
  9 a^5 z^5 - 14 a^7 z^5 - 12 a^9 z^5 + a^11 z^5 + z^6 - 18 a^2 z^6 - 
  32 a^4 z^6 - 27 a^6 z^6 - 10 a^8 z^6 + 4 a^10 z^6 + 4 a z^7 - 
  9 a^3 z^7 - 19 a^5 z^7 + 2 a^7 z^7 + 8 a^9 z^7 + 7 a^2 z^8 + 
  11 a^4 z^8 + 13 a^6 z^8 + 9 a^8 z^8 + 6 a^3 z^9 + 12 a^5 z^9 + 
  6 a^7 z^9 + 2 a^4 z^10 + 2 a^6 z^10, -a^4 - a/z - (2 a^3)/z - (
  2 a^5)/z - a^7/z + 3 a z + 8 a^3 z + 9 a^5 z + 3 a^7 z - a^9 z - 
  2 a^2 z^2 - 6 a^4 z^2 - 9 a^6 z^2 - 5 a^8 z^2 - (3 z^3)/a - 
  2 a z^3 - 11 a^3 z^3 - 24 a^5 z^3 - 8 a^7 z^3 + 4 a^9 z^3 - 7 z^4 + 
  z^4/a^2 + 7 a^2 z^4 + 29 a^4 z^4 + 27 a^6 z^4 + 13 a^8 z^4 + (
  4 z^5)/a - 8 a z^5 + 11 a^3 z^5 + 43 a^5 z^5 + 16 a^7 z^5 - 
  4 a^9 z^5 + 7 z^6 - 13 a^2 z^6 - 28 a^4 z^6 - 20 a^6 z^6 - 
  12 a^8 z^6 + 8 a z^7 - 12 a^3 z^7 - 36 a^5 z^7 - 15 a^7 z^7 + 
  a^9 z^7 + 8 a^2 z^8 + 5 a^4 z^8 + 3 a^8 z^8 + 6 a^3 z^9 + 
  10 a^5 z^9 + 4 a^7 z^9 + 2 a^4 z^10 + 2 a^6 z^10, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z + (2 z)/a + 
  8 a z + 5 a^3 z - a^5 z - 7 z^2 + (2 z^2)/a^4 + (2 z^2)/a^2 - 
  10 a^2 z^2 - 3 a^4 z^2 - (2 z^3)/a^5 + (3 z^3)/a^3 - (4 z^3)/a - 
  24 a z^3 - 11 a^3 z^3 + 4 a^5 z^3 + 19 z^4 + z^4/a^6 - (8 z^4)/
  a^4 + 23 a^2 z^4 + 13 a^4 z^4 + (4 z^5)/a^5 - (12 z^5)/a^3 + z^5/
  a + 39 a z^5 + 18 a^3 z^5 - 4 a^5 z^5 - 24 z^6 + (8 z^6)/a^4 - (
  11 z^6)/a^2 - 17 a^2 z^6 - 12 a^4 z^6 + (10 z^7)/a^3 - (7 z^7)/a - 
  33 a z^7 - 15 a^3 z^7 + a^5 z^7 + 6 z^8 + (9 z^8)/a^2 + 
  3 a^4 z^8 + (6 z^9)/a + 10 a z^9 + 4 a^3 z^9 + 2 z^10 + 
  2 a^2 z^10, -a^4 + a^3/z + a^5/z + a z - 2 a^3 z - 3 a^5 z - 
  12 z^2 - (4 z^2)/a^2 - 11 a^2 z^2 - 3 a^4 z^2 + (5 z^3)/a^3 + z^3/
  a - 4 a z^3 + 9 a^3 z^3 + 8 a^5 z^3 - a^7 z^3 + 36 z^4 - (2 z^4)/
  a^4 + (15 z^4)/a^2 + 34 a^2 z^4 + 10 a^4 z^4 - 5 a^6 z^4 - (10 z^5)/
  a^3 + (3 z^5)/a + 18 a z^5 - 10 a^3 z^5 - 14 a^5 z^5 + a^7 z^5 - 
  36 z^6 + z^6/a^4 - (19 z^6)/a^2 - 35 a^2 z^6 - 15 a^4 z^6 + 
  4 a^6 z^6 + (4 z^7)/a^3 - (11 z^7)/a - 25 a z^7 - 2 a^3 z^7 + 
  8 a^5 z^7 + 10 z^8 + (7 z^8)/a^2 + 12 a^2 z^8 + 9 a^4 z^8 + (6 z^9)/
  a + 12 a z^9 + 6 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 a^2 - a/z - a^3/z - (2 z)/a^5 - (6 z)/a^3 - (6 z)/a - a z + a^3 z - 
  8 z^2 + (2 z^2)/a^6 - (8 z^2)/a^2 - 2 a^2 z^2 - z^3/a^7 + (7 z^3)/
  a^5 + (22 z^3)/a^3 + (26 z^3)/a + 17 a z^3 + 5 a^3 z^3 + 36 z^4 - (
  5 z^4)/a^6 + (5 z^4)/a^4 + (34 z^4)/a^2 + 11 a^2 z^4 - a^4 z^4 + 
  z^5/a^7 - (11 z^5)/a^5 - (25 z^5)/a^3 - (25 z^5)/a - 22 a z^5 - 
  10 a^3 z^5 - 53 z^6 + (4 z^6)/a^6 - (12 z^6)/a^4 - (49 z^6)/a^2 - 
  19 a^2 z^6 + a^4 z^6 + (8 z^7)/a^5 + (4 z^7)/a^3 - (11 z^7)/a - 
  2 a z^7 + 5 a^3 z^7 + 20 z^8 + (10 z^8)/a^4 + (21 z^8)/a^2 + 
  9 a^2 z^8 + (7 z^9)/a^3 + (14 z^9)/a + 7 a z^9 + 2 z^10 + (2 z^10)/
  a^2, a^2 - a/z - a^3/z - a z - 5 a^3 z - 6 a^5 z - 2 a^7 z - z^2 - 
  6 a^2 z^2 - 8 a^4 z^2 - 2 a^6 z^2 + a^8 z^2 + (6 z^3)/a + 
  21 a z^3 + 29 a^3 z^3 + 21 a^5 z^3 + 7 a^7 z^3 + 4 z^4 - (4 z^4)/
  a^2 + 31 a^2 z^4 + 34 a^4 z^4 + 9 a^6 z^4 - 2 a^8 z^4 + z^5/a^3 - (
  15 z^5)/a - 34 a z^5 - 29 a^3 z^5 - 20 a^5 z^5 - 9 a^7 z^5 - 
  16 z^6 + (5 z^6)/a^2 - 53 a^2 z^6 - 47 a^4 z^6 - 14 a^6 z^6 + 
  a^8 z^6 + (11 z^7)/a + 7 a z^7 - 9 a^3 z^7 - a^5 z^7 + 4 a^7 z^7 + 
  13 z^8 + 24 a^2 z^8 + 18 a^4 z^8 + 7 a^6 z^8 + 8 a z^9 + 
  14 a^3 z^9 + 6 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, -3 - 1/a^4 - 3/
  a^2 + 1/(a^3 z) + 3/(a z) + (2 a)/z - z/a^3 - (4 z)/a - 3 a z - 
  2 z^2 + (2 z^2)/a^6 + (5 z^2)/a^4 + (3 z^2)/a^2 - 2 a^2 z^2 - z^3/
  a^7 + (3 z^3)/a^5 - (3 z^3)/a^3 - (14 z^3)/a - 2 a z^3 + 
  5 a^3 z^3 + 20 z^4 - (6 z^4)/a^6 - (2 z^4)/a^4 + (10 z^4)/a^2 + 
  12 a^2 z^4 - 2 a^4 z^4 + z^5/a^7 - (10 z^5)/a^5 + (6 z^5)/a^3 + (
  38 z^5)/a + 11 a z^5 - 10 a^3 z^5 - 22 z^6 + (4 z^6)/a^6 - (9 z^6)/
  a^4 - (16 z^6)/a^2 - 18 a^2 z^6 + a^4 z^6 + (7 z^7)/a^5 - (9 z^7)/
  a^3 - (36 z^7)/a - 16 a z^7 + 4 a^3 z^7 + 4 z^8 + (8 z^8)/a^4 + (
  5 z^8)/a^2 + 7 a^2 z^8 + (7 z^9)/a^3 + (14 z^9)/a + 7 a z^9 + 
  3 z^10 + (3 z^10)/a^2, 
 a^2 - a/z - a^3/z + a z + a^3 z - 12 z^2 - (4 z^2)/a^4 - (12 z^2)/
  a^2 - 4 a^2 z^2 + (2 z^3)/a^5 - (6 z^3)/a^3 - (8 z^3)/a + 8 a z^3 + 
  6 a^3 z^3 - 2 a^5 z^3 + 44 z^4 + (14 z^4)/a^4 + (37 z^4)/a^2 + 
  14 a^2 z^4 - 6 a^4 z^4 + a^6 z^4 - (3 z^5)/a^5 + (19 z^5)/a^3 + (
  35 z^5)/a - 7 a z^5 - 16 a^3 z^5 + 4 a^5 z^5 - 48 z^6 - (14 z^6)/
  a^4 - (31 z^6)/a^2 - 23 a^2 z^6 + 8 a^4 z^6 + z^7/a^5 - (20 z^7)/
  a^3 - (44 z^7)/a - 11 a z^7 + 12 a^3 z^7 + 11 z^8 + (4 z^8)/a^4 + (
  2 z^8)/a^2 + 13 a^2 z^8 + (6 z^9)/a^3 + (15 z^9)/a + 9 a z^9 + 
  3 z^10 + (3 z^10)/a^2, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/z + (3 a^5)/
  z + a^7/z - 2 a z - 9 a^3 z - 10 a^5 z - 3 a^7 z + z^2 + 
  3 a^6 z^2 + 2 a^8 z^2 + 7 a z^3 + 16 a^3 z^3 + 17 a^5 z^3 + 
  12 a^7 z^3 + 4 a^9 z^3 - 2 z^4 + 6 a^2 z^4 + 23 a^4 z^4 + 
  24 a^6 z^4 + 5 a^8 z^4 - 4 a^10 z^4 - 9 a z^5 - 11 a^3 z^5 - 
  4 a^5 z^5 - 17 a^7 z^5 - 14 a^9 z^5 + a^11 z^5 + z^6 - 13 a^2 z^6 - 
  37 a^4 z^6 - 47 a^6 z^6 - 19 a^8 z^6 + 5 a^10 z^6 + 4 a z^7 - 
  6 a^3 z^7 - 24 a^5 z^7 - 3 a^7 z^7 + 11 a^9 z^7 + 7 a^2 z^8 + 
  13 a^4 z^8 + 20 a^6 z^8 + 14 a^8 z^8 + 7 a^3 z^9 + 17 a^5 z^9 + 
  10 a^7 z^9 + 3 a^4 z^10 + 3 a^6 z^10, 
 a^2 - a/z - a^3/z + (3 z)/a^3 + (5 z)/a + 2 a z - 3 z^2 - (6 z^2)/
  a^4 - (9 z^2)/a^2 + a^2 z^2 + a^4 z^2 + (4 z^3)/a^5 - (9 z^3)/
  a^3 - (14 z^3)/a + 8 a z^3 + 7 a^3 z^3 - 2 a^5 z^3 + 17 z^4 + (
  15 z^4)/a^4 + (22 z^4)/a^2 + 2 a^2 z^4 - 7 a^4 z^4 + a^6 z^4 - (
  4 z^5)/a^5 + (16 z^5)/a^3 + (25 z^5)/a - 14 a z^5 - 15 a^3 z^5 + 
  4 a^5 z^5 - 27 z^6 - (12 z^6)/a^4 - (18 z^6)/a^2 - 13 a^2 z^6 + 
  8 a^4 z^6 + z^7/a^5 - (14 z^7)/a^3 - (28 z^7)/a - 2 a z^7 + 
  11 a^3 z^7 + 8 z^8 + (3 z^8)/a^4 + z^8/a^2 + 10 a^2 z^8 + (4 z^9)/
  a^3 + (10 z^9)/a + 6 a z^9 + 2 z^10 + (2 z^10)/a^2, 
 a^2 - a/z - a^3/z + a z + 4 a^3 z + 5 a^5 z + a^7 z - a^9 z - 
  2 a^2 z^2 - 8 a^4 z^2 - 12 a^6 z^2 - 4 a^8 z^2 + 2 a^10 z^2 + 
  6 a z^3 - 4 a^3 z^3 - 23 a^5 z^3 - 5 a^7 z^3 + 6 a^9 z^3 - 
  2 a^11 z^3 - 2 z^4 + 10 a^2 z^4 + 21 a^4 z^4 + 28 a^6 z^4 + 
  13 a^8 z^4 - 6 a^10 z^4 - 11 a z^5 + 4 a^3 z^5 + 38 a^5 z^5 + 
  12 a^7 z^5 - 10 a^9 z^5 + a^11 z^5 + z^6 - 16 a^2 z^6 - 
  20 a^4 z^6 - 19 a^6 z^6 - 13 a^8 z^6 + 3 a^10 z^6 + 4 a z^7 - 
  10 a^3 z^7 - 29 a^5 z^7 - 10 a^7 z^7 + 5 a^9 z^7 + 6 a^2 z^8 + 
  4 a^4 z^8 + 4 a^6 z^8 + 6 a^8 z^8 + 5 a^3 z^9 + 10 a^5 z^9 + 
  5 a^7 z^9 + 2 a^4 z^10 + 2 a^6 z^10, -3 - 1/a^4 - 3/a^2 + 1/(
  a^3 z) + 3/(a z) + (2 a)/z + (2 z)/a^3 + z/a - 2 a z - a^3 z - 
  z^2 + (3 z^2)/a^6 + (3 z^2)/a^4 + a^4 z^2 - (2 z^3)/a^7 + (3 z^3)/
  a^5 - (13 z^3)/a^3 - (31 z^3)/a - 6 a z^3 + 7 a^3 z^3 + 8 z^4 - (
  7 z^4)/a^6 + (2 z^4)/a^4 + (7 z^4)/a^2 + 7 a^2 z^4 - 3 a^4 z^4 + 
  z^5/a^7 - (8 z^5)/a^5 + (20 z^5)/a^3 + (53 z^5)/a + 14 a z^5 - 
  10 a^3 z^5 - 3 z^6 + (3 z^6)/a^6 - (7 z^6)/a^4 - 12 a^2 z^6 + 
  a^4 z^6 + (4 z^7)/a^5 - (12 z^7)/a^3 - (32 z^7)/a - 13 a z^7 + 
  3 a^3 z^7 - 3 z^8 + (4 z^8)/a^4 - (3 z^8)/a^2 + 4 a^2 z^8 + (4 z^9)/
  a^3 + (8 z^9)/a + 4 a z^9 + 2 z^10 + (2 z^10)/a^2, -3 a^4 - 3 a^6 - 
  a^8 + (2 a^3)/z + (3 a^5)/z + a^7/z + a^5 z - a^9 z - 2 a^2 z^2 - 
  3 a^4 z^2 - a^6 z^2 + 3 a^8 z^2 + 2 a^10 z^2 - a^12 z^2 - 
  19 a^3 z^3 - 29 a^5 z^3 + a^7 z^3 + 7 a^9 z^3 - 3 a^11 z^3 + 
  a^13 z^3 + 7 a^2 z^4 + 11 a^4 z^4 + 20 a^6 z^4 + 4 a^8 z^4 - 
  9 a^10 z^4 + 3 a^12 z^4 + 31 a^3 z^5 + 56 a^5 z^5 + 4 a^7 z^5 - 
  16 a^9 z^5 + 5 a^11 z^5 - 5 a^2 z^6 + a^4 z^6 - 17 a^6 z^6 - 
  16 a^8 z^6 + 7 a^10 z^6 - 17 a^3 z^7 - 38 a^5 z^7 - 13 a^7 z^7 + 
  8 a^9 z^7 + a^2 z^8 - 7 a^4 z^8 - a^6 z^8 + 7 a^8 z^8 + 3 a^3 z^9 + 
  8 a^5 z^9 + 5 a^7 z^9 + 2 a^4 z^10 + 2 a^6 z^10, -3 - 1/a^4 - 3/
  a^2 + 1/(a^3 z) + 3/(a z) + (2 a)/z - z/a^3 - (7 z)/a - 8 a z - 
  a^3 z + a^5 z - (2 z^2)/a^4 - (2 z^2)/a^2 + 2 a^2 z^2 + a^4 z^2 - 
  a^6 z^2 + (2 z^3)/a^5 - (3 z^3)/a^3 + z^3/a + 15 a z^3 + 
  6 a^3 z^3 - 3 a^5 z^3 + 17 z^4 + (15 z^4)/a^4 + (25 z^4)/a^2 + 
  2 a^2 z^4 - 4 a^4 z^4 + a^6 z^4 - (3 z^5)/a^5 + (15 z^5)/a^3 + (
  18 z^5)/a - 12 a z^5 - 9 a^3 z^5 + 3 a^5 z^5 - 25 z^6 - (15 z^6)/
  a^4 - (26 z^6)/a^2 - 9 a^2 z^6 + 5 a^4 z^6 + z^7/a^5 - (17 z^7)/
  a^3 - (28 z^7)/a - 3 a z^7 + 7 a^3 z^7 + 6 z^8 + (4 z^8)/a^4 + (
  3 z^8)/a^2 + 7 a^2 z^8 + (5 z^9)/a^3 + (10 z^9)/a + 5 a z^9 + 
  2 z^10 + (2 z^10)/a^2, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/z + (3 a^5)/
  z + a^7/z - 3 a z - 8 a^3 z - 5 a^5 z + 2 z^2 + 2 a^2 z^2 + 
  a^4 z^2 + a^10 z^2 + 8 a z^3 + 8 a^3 z^3 - 6 a^5 z^3 - 2 a^7 z^3 + 
  3 a^9 z^3 - a^11 z^3 - 3 z^4 + a^2 z^4 + 10 a^4 z^4 + 18 a^6 z^4 + 
  6 a^8 z^4 - 6 a^10 z^4 - 9 a z^5 - 2 a^3 z^5 + 24 a^5 z^5 + 
  5 a^7 z^5 - 11 a^9 z^5 + a^11 z^5 + z^6 - 8 a^2 z^6 - 13 a^4 z^6 - 
  21 a^6 z^6 - 13 a^8 z^6 + 4 a^10 z^6 + 3 a z^7 - 6 a^3 z^7 - 
  24 a^5 z^7 - 8 a^7 z^7 + 7 a^9 z^7 + 4 a^2 z^8 + 3 a^4 z^8 + 
  7 a^6 z^8 + 8 a^8 z^8 + 4 a^3 z^9 + 10 a^5 z^9 + 6 a^7 z^9 + 
  2 a^4 z^10 + 2 a^6 z^10, 
 a^2 - a/z - a^3/z + a z + a^3 z - 2 z^2 - 6 a^2 z^2 - 6 a^4 z^2 - 
  2 a^6 z^2 + (5 z^3)/a + 6 a z^3 + 2 a^5 z^3 + 3 a^7 z^3 + 11 z^4 - (
  3 z^4)/a^2 + 36 a^2 z^4 + 36 a^4 z^4 + 13 a^6 z^4 - a^8 z^4 + z^5/
  a^3 - (14 z^5)/a - 9 a z^5 + 18 a^3 z^5 + 4 a^5 z^5 - 8 a^7 z^5 - 
  24 z^6 + (5 z^6)/a^2 - 59 a^2 z^6 - 53 a^4 z^6 - 22 a^6 z^6 + 
  a^8 z^6 + (12 z^7)/a - 11 a z^7 - 47 a^3 z^7 - 19 a^5 z^7 + 
  5 a^7 z^7 + 17 z^8 + 22 a^2 z^8 + 16 a^4 z^8 + 11 a^6 z^8 + 
  14 a z^9 + 26 a^3 z^9 + 12 a^5 z^9 + 5 a^2 z^10 + 
  5 a^4 z^10, -a^4 + 3 a^6 + 5 a^8 + 2 a^10 + a^3/z - (2 a^7)/z - a^9/
  z + a z - 4 a^3 z - 4 a^5 z + 5 a^7 z + 4 a^9 z + 2 a^2 z^2 + 
  3 a^4 z^2 - 7 a^6 z^2 - 18 a^8 z^2 - 8 a^10 z^2 + 2 a^12 z^2 - 
  2 a z^3 + 6 a^3 z^3 + 15 a^5 z^3 - 5 a^7 z^3 - 7 a^9 z^3 + 
  5 a^11 z^3 - 5 a^2 z^4 - 2 a^4 z^4 + 15 a^6 z^4 + 29 a^8 z^4 + 
  14 a^10 z^4 - 3 a^12 z^4 + a z^5 - 8 a^3 z^5 - 17 a^5 z^5 + 
  5 a^7 z^5 + 5 a^9 z^5 - 8 a^11 z^5 + 3 a^2 z^6 - 4 a^4 z^6 - 
  19 a^6 z^6 - 27 a^8 z^6 - 14 a^10 z^6 + a^12 z^6 + 5 a^3 z^7 + 
  5 a^5 z^7 - 10 a^7 z^7 - 7 a^9 z^7 + 3 a^11 z^7 + 5 a^4 z^8 + 
  9 a^6 z^8 + 9 a^8 z^8 + 5 a^10 z^8 + 3 a^5 z^9 + 7 a^7 z^9 + 
  4 a^9 z^9 + a^6 z^10 + a^8 z^10, -a^8 + 3 a^10 + 5 a^12 + 2 a^14 + 
  a^7/z - (2 a^11)/z - a^13/z + a^5 z - 7 a^7 z - 3 a^9 z + 6 a^11 z -
   a^13 z - 2 a^15 z + a^6 z^2 + 4 a^8 z^2 - 13 a^10 z^2 - 
  25 a^12 z^2 - 7 a^14 z^2 + 2 a^16 z^2 - 2 a^5 z^3 + 11 a^7 z^3 + 
  11 a^9 z^3 - a^11 z^3 + 7 a^13 z^3 + 6 a^15 z^3 - 4 a^6 z^4 - 
  3 a^8 z^4 + 30 a^10 z^4 + 44 a^12 z^4 + 12 a^14 z^4 - 3 a^16 z^4 + 
  a^5 z^5 - 11 a^7 z^5 - 14 a^9 z^5 - 6 a^13 z^5 - 8 a^15 z^5 + 
  3 a^6 z^6 - 5 a^8 z^6 - 32 a^10 z^6 - 38 a^12 z^6 - 13 a^14 z^6 + 
  a^16 z^6 + 6 a^7 z^7 + 3 a^9 z^7 - 10 a^11 z^7 - 4 a^13 z^7 + 
  3 a^15 z^7 + 6 a^8 z^8 + 13 a^10 z^8 + 12 a^12 z^8 + 5 a^14 z^8 + 
  4 a^9 z^9 + 8 a^11 z^9 + 4 a^13 z^9 + a^10 z^10 + a^12 z^10, 
 5 - 1/a^4 + 5 a^2 - 2/(a z) - (5 a)/z - (3 a^3)/z - (3 z)/a^3 + (
  2 z)/a + 21 a z + 12 a^3 z - 4 a^5 z - 22 z^2 - z^2/a^6 + (5 z^2)/
  a^4 + (3 z^2)/a^2 - 19 a^2 z^2 - (2 z^3)/a^5 + (10 z^3)/a^3 + (
  8 z^3)/a - 29 a z^3 - 17 a^3 z^3 + 8 a^5 z^3 + 35 z^4 + z^4/a^6 - (
  7 z^4)/a^4 + 33 a^2 z^4 + 6 a^4 z^4 + (3 z^5)/a^5 - (12 z^5)/a^3 - (
  14 z^5)/a + 22 a z^5 + 16 a^3 z^5 - 5 a^5 z^5 - 33 z^6 + (6 z^6)/
  a^4 - (8 z^6)/a^2 - 26 a^2 z^6 - 7 a^4 z^6 + (8 z^7)/a^3 + z^7/a - 
  19 a z^7 - 11 a^3 z^7 + a^5 z^7 + 10 z^8 + (7 z^8)/a^2 + 
  5 a^2 z^8 + 2 a^4 z^8 + (4 z^9)/a + 7 a z^9 + 3 a^3 z^9 + z^10 + 
  a^2 z^10, 
 5 + 2/a^2 + 3 a^2 - a^4 - 1/(a z) - (2 a)/z + a^5/z - z/a^3 + (2 z)/
  a + 10 a z + a^3 z - 4 a^5 z + 2 a^7 z - 23 z^2 + (2 z^2)/a^4 - (
  5 z^2)/a^2 - 15 a^2 z^2 + 2 a^4 z^2 + a^6 z^2 + (6 z^3)/a^3 - 
  21 a z^3 - 7 a^3 z^3 + 5 a^5 z^3 - 3 a^7 z^3 + 34 z^4 - (3 z^4)/
  a^4 + (8 z^4)/a^2 + 28 a^2 z^4 + a^4 z^4 - 4 a^6 z^4 - (9 z^5)/a^3 -
   z^5/a + 27 a z^5 + 12 a^3 z^5 - 6 a^5 z^5 + a^7 z^5 - 23 z^6 + z^6/
  a^4 - (11 z^6)/a^2 - 17 a^2 z^6 - 4 a^4 z^6 + 2 a^6 z^6 + (3 z^7)/
  a^3 - (5 z^7)/a - 18 a z^7 - 7 a^3 z^7 + 3 a^5 z^7 + 5 z^8 + (
  4 z^8)/a^2 + 4 a^2 z^8 + 3 a^4 z^8 + (3 z^9)/a + 6 a z^9 + 
  3 a^3 z^9 + z^10 + a^2 z^10, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z + z/a^3 - (3 z)/a - 
  10 a z - 10 a^3 z - 7 a^5 z - 3 a^7 z - z^2 + (2 z^2)/a^2 - 
  4 a^2 z^2 - 3 a^4 z^2 + 2 a^8 z^2 - (2 z^3)/a^3 + (5 z^3)/a + 
  18 a z^3 + 18 a^3 z^3 + 15 a^5 z^3 + 8 a^7 z^3 + z^4 - (5 z^4)/
  a^2 + 13 a^2 z^4 + 14 a^4 z^4 + 4 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (
  8 z^5)/a - 16 a z^5 - 10 a^3 z^5 - 12 a^5 z^5 - 9 a^7 z^5 - 
  5 z^6 + (3 z^6)/a^2 - 17 a^2 z^6 - 19 a^4 z^6 - 9 a^6 z^6 + 
  a^8 z^6 + (5 z^7)/a + 4 a z^7 - 5 a^3 z^7 - a^5 z^7 + 3 a^7 z^7 + 
  5 z^8 + 8 a^2 z^8 + 7 a^4 z^8 + 4 a^6 z^8 + 3 a z^9 + 6 a^3 z^9 + 
  3 a^5 z^9 + a^2 z^10 + a^4 z^10, 
 1/a^2 + 1/(a^5 z) + 2/(a^3 z) + 2/(a z) + a/z + z/a^9 - z/a^7 - (
  9 z)/a^5 - (15 z)/a^3 - (12 z)/a - 4 a z - 4 z^2 - z^2/a^10 + z^2/
  a^8 - (2 z^2)/a^6 - (11 z^2)/a^4 - (11 z^2)/a^2 - (3 z^3)/a^9 + (
  6 z^3)/a^7 + (26 z^3)/a^5 + (34 z^3)/a^3 + (23 z^3)/a + 6 a z^3 + 
  12 z^4 + z^4/a^10 - (4 z^4)/a^8 + (6 z^4)/a^6 + (34 z^4)/a^4 + (
  35 z^4)/a^2 + (3 z^5)/a^9 - (9 z^5)/a^7 - (25 z^5)/a^5 - (20 z^5)/
  a^3 - (11 z^5)/a - 4 a z^5 - 11 z^6 + (5 z^6)/a^8 - (10 z^6)/a^6 - (
  39 z^6)/a^4 - (35 z^6)/a^2 + (7 z^7)/a^7 + (3 z^7)/a^5 - (10 z^7)/
  a^3 - (5 z^7)/a + a z^7 + 3 z^8 + (7 z^8)/a^6 + (12 z^8)/a^4 + (
  8 z^8)/a^2 + (4 z^9)/a^5 + (7 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + 
  z^10/a^2, 
 1/a^2 + 1/(a^5 z) + 2/(a^3 z) + 2/(a z) + a/z - (2 z)/a^7 - (8 z)/
  a^5 - (15 z)/a^3 - (13 z)/a - 3 a z + a^3 z - 3 z^2 + z^2/a^8 - z^2/
  a^6 - (8 z^2)/a^4 - (11 z^2)/a^2 + 2 a^2 z^2 + (7 z^3)/a^7 + (
  24 z^3)/a^5 + (35 z^3)/a^3 + (24 z^3)/a + 4 a z^3 - 2 a^3 z^3 + 
  6 z^4 - (2 z^4)/a^8 + (6 z^4)/a^6 + (31 z^4)/a^4 + (34 z^4)/a^2 - 
  5 a^2 z^4 - (10 z^5)/a^7 - (25 z^5)/a^5 - (25 z^5)/a^3 - (18 z^5)/
  a - 7 a z^5 + a^3 z^5 - 8 z^6 + z^6/a^8 - (13 z^6)/a^6 - (39 z^6)/
  a^4 - (36 z^6)/a^2 + 3 a^2 z^6 + (4 z^7)/a^7 + (2 z^7)/a^5 - (
  4 z^7)/a^3 + (3 z^7)/a + 5 a z^7 + 6 z^8 + (6 z^8)/a^6 + (14 z^8)/
  a^4 + (14 z^8)/a^2 + (4 z^9)/a^5 + (8 z^9)/a^3 + (4 z^9)/a + z^10/
  a^4 + z^10/a^2, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z - (2 z)/a^3 - (10 z)/a - 
  18 a z - 14 a^3 z - 4 a^5 z - 7 z^2 + (2 z^2)/a^4 + (2 z^2)/a^2 - 
  12 a^2 z^2 - 5 a^4 z^2 - (2 z^3)/a^5 + (7 z^3)/a^3 + (33 z^3)/a + 
  44 a z^3 + 26 a^3 z^3 + 6 a^5 z^3 + 34 z^4 + z^4/a^6 - (7 z^4)/a^4 -
   z^4/a^2 + 40 a^2 z^4 + 13 a^4 z^4 + (4 z^5)/a^5 - (14 z^5)/a^3 - (
  39 z^5)/a - 30 a z^5 - 13 a^3 z^5 - 4 a^5 z^5 - 48 z^6 + (8 z^6)/
  a^4 - (11 z^6)/a^2 - 40 a^2 z^6 - 11 a^4 z^6 + (11 z^7)/a^3 + (
  8 z^7)/a - 8 a z^7 - 4 a^3 z^7 + a^5 z^7 + 17 z^8 + (10 z^8)/a^2 + 
  10 a^2 z^8 + 3 a^4 z^8 + (5 z^9)/a + 8 a z^9 + 3 a^3 z^9 + z^10 + 
  a^2 z^10, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z - (2 z)/a^3 - (10 z)/a - 
  18 a z - 14 a^3 z - 4 a^5 z - 9 z^2 + z^2/a^4 - z^2/a^2 - 
  10 a^2 z^2 - 2 a^4 z^2 + a^6 z^2 + (8 z^3)/a^3 + (30 z^3)/a + 
  48 a z^3 + 36 a^3 z^3 + 9 a^5 z^3 - a^7 z^3 + 32 z^4 - (2 z^4)/
  a^4 + (6 z^4)/a^2 + 35 a^2 z^4 + 6 a^4 z^4 - 5 a^6 z^4 - (10 z^5)/
  a^3 - (31 z^5)/a - 43 a z^5 - 36 a^3 z^5 - 13 a^5 z^5 + a^7 z^5 - 
  43 z^6 + z^6/a^4 - (12 z^6)/a^2 - 46 a^2 z^6 - 12 a^4 z^6 + 
  4 a^6 z^6 + (4 z^7)/a^3 + (5 z^7)/a + 2 a z^7 + 9 a^3 z^7 + 
  8 a^5 z^7 + 17 z^8 + (6 z^8)/a^2 + 20 a^2 z^8 + 9 a^4 z^8 + (4 z^9)/
  a + 9 a z^9 + 5 a^3 z^9 + z^10 + a^2 z^10, -3 a^4 - 3 a^6 - a^8 + (
  2 a^3)/z + (3 a^5)/z + a^7/z - (2 z)/a - 8 a z - 15 a^3 z - 
  12 a^5 z - 3 a^7 z + 4 z^2 + (2 z^2)/a^2 + 2 a^2 z^2 + 4 a^4 z^2 + 
  7 a^6 z^2 + 3 a^8 z^2 - z^3/a^3 + (6 z^3)/a + 24 a z^3 + 
  33 a^3 z^3 + 23 a^5 z^3 + 7 a^7 z^3 - 4 z^4 - (6 z^4)/a^2 + 
  11 a^2 z^4 + 9 a^4 z^4 - 3 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (11 z^5)/
  a - 26 a z^5 - 27 a^3 z^5 - 21 a^5 z^5 - 8 a^7 z^5 - 6 z^6 + (
  4 z^6)/a^2 - 25 a^2 z^6 - 22 a^4 z^6 - 6 a^6 z^6 + a^8 z^6 + (
  7 z^7)/a + 7 a z^7 + 3 a^5 z^7 + 3 a^7 z^7 + 7 z^8 + 13 a^2 z^8 + 
  10 a^4 z^8 + 4 a^6 z^8 + 4 a z^9 + 7 a^3 z^9 + 3 a^5 z^9 + 
  a^2 z^10 + a^4 z^10, -3 - 1/a^4 - 3/a^2 + 1/(a^3 z) + 3/(a z) + (
  2 a)/z - (2 z)/a^5 - (9 z)/a^3 - (16 z)/a - 11 a z - 2 a^3 z + 
  2 z^2 + (3 z^2)/a^6 + (8 z^2)/a^4 + (7 z^2)/a^2 + a^2 z^2 + 
  a^4 z^2 - z^3/a^7 + (6 z^3)/a^5 + (27 z^3)/a^3 + (40 z^3)/a + 
  28 a z^3 + 8 a^3 z^3 + 17 z^4 - (6 z^4)/a^6 - (9 z^4)/a^4 + (7 z^4)/
  a^2 + 5 a^2 z^4 - 2 a^4 z^4 + z^5/a^7 - (10 z^5)/a^5 - (33 z^5)/
  a^3 - (40 z^5)/a - 28 a z^5 - 10 a^3 z^5 - 34 z^6 + (4 z^6)/a^6 - (
  3 z^6)/a^4 - (28 z^6)/a^2 - 12 a^2 z^6 + a^4 z^6 + (7 z^7)/a^5 + (
  11 z^7)/a^3 + (4 z^7)/a + 4 a z^7 + 4 a^3 z^7 + 15 z^8 + (7 z^8)/
  a^4 + (16 z^8)/a^2 + 6 a^2 z^8 + (4 z^9)/a^3 + (8 z^9)/a + 4 a z^9 +
   z^10 + z^10/a^2, -a^4 + 3 a^6 + 5 a^8 + 2 a^10 + a^3/z - (2 a^7)/
  z - a^9/z - 5 a^3 z - 2 a^5 z + 7 a^7 z + 3 a^9 z - a^11 z - 
  a^4 z^2 - 12 a^6 z^2 - 22 a^8 z^2 - 8 a^10 z^2 + 2 a^12 z^2 - 
  a^14 z^2 + 8 a^3 z^3 + 7 a^5 z^3 - 16 a^7 z^3 - 6 a^9 z^3 + 
  6 a^11 z^3 - 3 a^13 z^3 + 8 a^4 z^4 + 22 a^6 z^4 + 36 a^8 z^4 + 
  15 a^10 z^4 - 6 a^12 z^4 + a^14 z^4 - 5 a^3 z^5 - 2 a^5 z^5 + 
  23 a^7 z^5 + 8 a^9 z^5 - 9 a^11 z^5 + 3 a^13 z^5 - 8 a^4 z^6 - 
  17 a^6 z^6 - 27 a^8 z^6 - 13 a^10 z^6 + 5 a^12 z^6 + a^3 z^7 - 
  5 a^5 z^7 - 20 a^7 z^7 - 8 a^9 z^7 + 6 a^11 z^7 + 2 a^4 z^8 + 
  2 a^6 z^8 + 6 a^8 z^8 + 6 a^10 z^8 + 2 a^5 z^9 + 6 a^7 z^9 + 
  4 a^9 z^9 + a^6 z^10 + a^8 z^10, -a^8 + 3 a^10 + 5 a^12 + 2 a^14 + 
  a^7/z - (2 a^11)/z - a^13/z - 5 a^7 z + 5 a^9 z + 13 a^11 z + 
  3 a^13 z + a^15 z + a^17 z + a^8 z^2 - 21 a^10 z^2 - 30 a^12 z^2 - 
  5 a^14 z^2 + 2 a^16 z^2 - a^18 z^2 + 8 a^7 z^3 - 10 a^9 z^3 - 
  22 a^11 z^3 + a^15 z^3 - 3 a^17 z^3 + 5 a^8 z^4 + 41 a^10 z^4 + 
  49 a^12 z^4 + 7 a^14 z^4 - 5 a^16 z^4 + a^18 z^4 - 5 a^7 z^5 + 
  13 a^9 z^5 + 25 a^11 z^5 - 2 a^13 z^5 - 6 a^15 z^5 + 3 a^17 z^5 - 
  7 a^8 z^6 - 30 a^10 z^6 - 37 a^12 z^6 - 9 a^14 z^6 + 5 a^16 z^6 + 
  a^7 z^7 - 11 a^9 z^7 - 22 a^11 z^7 - 4 a^13 z^7 + 6 a^15 z^7 + 
  2 a^8 z^8 + 5 a^10 z^8 + 9 a^12 z^8 + 6 a^14 z^8 + 3 a^9 z^9 + 
  7 a^11 z^9 + 4 a^13 z^9 + a^10 z^10 + a^12 z^10, 
 5 - 1/a^4 + 5 a^2 - 2/(a z) - (5 a)/z - (3 a^3)/z + (11 z)/a + 
  28 a z + 13 a^3 z - 2 a^5 z + 2 a^7 z - 27 z^2 + (4 z^2)/a^4 - (
  3 z^2)/a^2 - 23 a^2 z^2 - 2 a^4 z^2 + a^6 z^2 + (3 z^3)/a^3 - (
  19 z^3)/a - 51 a z^3 - 22 a^3 z^3 + 4 a^5 z^3 - 3 a^7 z^3 + 
  37 z^4 - (4 z^4)/a^4 + (7 z^4)/a^2 + 34 a^2 z^4 + 4 a^4 z^4 - 
  4 a^6 z^4 - (6 z^5)/a^3 + (16 z^5)/a + 49 a z^5 + 20 a^3 z^5 - 
  6 a^5 z^5 + a^7 z^5 - 20 z^6 + z^6/a^4 - (9 z^6)/a^2 - 17 a^2 z^6 - 
  5 a^4 z^6 + 2 a^6 z^6 + (2 z^7)/a^3 - (10 z^7)/a - 24 a z^7 - 
  9 a^3 z^7 + 3 a^5 z^7 + 3 z^8 + (3 z^8)/a^2 + 3 a^2 z^8 + 
  3 a^4 z^8 + (3 z^9)/a + 6 a z^9 + 3 a^3 z^9 + z^10 + a^2 z^10, 
 5 + 2/a^2 + 3 a^2 - a^4 - 1/(a z) - (2 a)/z + a^5/z + (4 z)/a + 
  8 a z - 4 a^3 z - 6 a^5 z + a^7 z - a^9 z - 23 z^2 - (9 z^2)/a^2 - 
  12 a^2 z^2 + 5 a^4 z^2 + 2 a^6 z^2 - a^8 z^2 - (12 z^3)/a - 
  19 a z^3 + 7 a^3 z^3 + 11 a^5 z^3 - 2 a^7 z^3 + a^9 z^3 + 33 z^4 + (
  12 z^4)/a^2 + 26 a^2 z^4 - 2 a^4 z^4 - 5 a^6 z^4 + 2 a^8 z^4 + (
  19 z^5)/a + 32 a z^5 - 2 a^3 z^5 - 12 a^5 z^5 + 3 a^7 z^5 - 
  14 z^6 - (6 z^6)/a^2 - 20 a^2 z^6 - 8 a^4 z^6 + 4 a^6 z^6 - (
  11 z^7)/a - 23 a z^7 - 7 a^3 z^7 + 5 a^5 z^7 - z^8 + z^8/a^2 + 
  2 a^2 z^8 + 4 a^4 z^8 + (2 z^9)/a + 5 a z^9 + 3 a^3 z^9 + z^10 + 
  a^2 z^10, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z - (5 z)/a - 11 a z - 
  10 a^3 z - 6 a^5 z - a^7 z + a^9 z - 3 z^2 - 3 a^2 z^2 - a^4 z^2 + 
  2 a^6 z^2 + 2 a^8 z^2 - a^10 z^2 + (8 z^3)/a + 18 a z^3 + 
  15 a^3 z^3 + 12 a^5 z^3 + 4 a^7 z^3 - 3 a^9 z^3 + 9 z^4 + 
  13 a^2 z^4 + 8 a^4 z^4 - 2 a^6 z^4 - 5 a^8 z^4 + a^10 z^4 - (5 z^5)/
  a - 7 a z^5 - 4 a^3 z^5 - 12 a^5 z^5 - 7 a^7 z^5 + 3 a^9 z^5 - 
  8 z^6 - 14 a^2 z^6 - 15 a^4 z^6 - 4 a^6 z^6 + 5 a^8 z^6 + z^7/a - 
  4 a z^7 - 10 a^3 z^7 + a^5 z^7 + 6 a^7 z^7 + 2 z^8 + 2 a^2 z^8 + 
  5 a^4 z^8 + 5 a^6 z^8 + 2 a z^9 + 5 a^3 z^9 + 3 a^5 z^9 + a^2 z^10 +
   a^4 z^10, -1 + 3 a^2 + 5 a^4 + 2 a^6 + 1/(a z) - (2 a^3)/z - a^5/
  z + z/a^3 - (3 z)/a - 5 a z + a^5 z + 2 z^2 + (2 z^2)/a^2 - 
  7 a^2 z^2 - 12 a^4 z^2 - 4 a^6 z^2 + a^8 z^2 - (2 z^3)/a^3 + (
  4 z^3)/a + 9 a z^3 - 3 a^3 z^3 - 2 a^5 z^3 + 4 a^7 z^3 + 2 z^4 - (
  5 z^4)/a^2 + 20 a^2 z^4 + 26 a^4 z^4 + 11 a^6 z^4 - 2 a^8 z^4 + z^5/
  a^3 - (7 z^5)/a - 4 a z^5 + 15 a^3 z^5 + 2 a^5 z^5 - 9 a^7 z^5 - 
  7 z^6 + (3 z^6)/a^2 - 22 a^2 z^6 - 30 a^4 z^6 - 17 a^6 z^6 + 
  a^8 z^6 + (5 z^7)/a - 3 a z^7 - 22 a^3 z^7 - 10 a^5 z^7 + 
  4 a^7 z^7 + 6 z^8 + 8 a^2 z^8 + 9 a^4 z^8 + 7 a^6 z^8 + 5 a z^9 + 
  11 a^3 z^9 + 6 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 a^2 - a/z - a^3/z + a z + a^3 z - 2 z^2 - 4 a^2 z^2 + 4 a^6 z^2 + 
  2 a^8 z^2 + (2 z^3)/a - 8 a z^3 - 14 a^3 z^3 + 2 a^5 z^3 + 
  4 a^7 z^3 - 2 a^9 z^3 + 13 z^4 + 23 a^2 z^4 + 18 a^4 z^4 - 
  7 a^8 z^4 + a^10 z^4 - (3 z^5)/a + 22 a z^5 + 38 a^3 z^5 - 
  4 a^5 z^5 - 13 a^7 z^5 + 4 a^9 z^5 - 14 z^6 - 22 a^2 z^6 - 
  30 a^4 z^6 - 14 a^6 z^6 + 8 a^8 z^6 + z^7/a - 21 a z^7 - 
  42 a^3 z^7 - 9 a^5 z^7 + 11 a^7 z^7 + 4 z^8 + 7 a^4 z^8 + 
  11 a^6 z^8 + 6 a z^9 + 14 a^3 z^9 + 8 a^5 z^9 + 3 a^2 z^10 + 
  3 a^4 z^10, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z - (2 z)/a - 6 a z - 
  6 a^3 z - 2 a^5 z - 5 z^2 - 14 a^2 z^2 - 13 a^4 z^2 - 4 a^6 z^2 - 
  z^3/a^3 + (6 z^3)/a + 6 a z^3 - 6 a^3 z^3 + 5 a^7 z^3 + 13 z^4 - (
  5 z^4)/a^2 + 38 a^2 z^4 + 35 a^4 z^4 + 13 a^6 z^4 - 2 a^8 z^4 + z^5/
  a^3 - (13 z^5)/a + 3 a z^5 + 35 a^3 z^5 + 8 a^5 z^5 - 10 a^7 z^5 - 
  18 z^6 + (4 z^6)/a^2 - 34 a^2 z^6 - 31 a^4 z^6 - 18 a^6 z^6 + 
  a^8 z^6 + (8 z^7)/a - 11 a z^7 - 38 a^3 z^7 - 15 a^5 z^7 + 
  4 a^7 z^7 + 10 z^8 + 9 a^2 z^8 + 6 a^4 z^8 + 7 a^6 z^8 + 8 a z^9 + 
  15 a^3 z^9 + 7 a^5 z^9 + 3 a^2 z^10 + 3 a^4 z^10, 
 1/a^2 - 1/(a^3 z) - 1/(a z) + z/a^3 + (4 z)/a + 5 a z + a^3 z - 
  a^5 z - 6 z^2 - z^2/a^2 - 12 a^2 z^2 - 6 a^4 z^2 + a^6 z^2 + (
  4 z^3)/a^3 - 10 a z^3 + 2 a^3 z^3 + 7 a^5 z^3 - a^7 z^3 + 28 z^4 - 
  z^4/a^4 + (10 z^4)/a^2 + 38 a^2 z^4 + 17 a^4 z^4 - 4 a^6 z^4 - (
  9 z^5)/a^3 - z^5/a + 21 a z^5 - 12 a^5 z^5 + a^7 z^5 - 44 z^6 + z^6/
  a^4 - (20 z^6)/a^2 - 48 a^2 z^6 - 21 a^4 z^6 + 4 a^6 z^6 + (5 z^7)/
  a^3 - (14 z^7)/a - 39 a z^7 - 11 a^3 z^7 + 9 a^5 z^7 + 14 z^8 + (
  10 z^8)/a^2 + 17 a^2 z^8 + 13 a^4 z^8 + (10 z^9)/a + 21 a z^9 + 
  11 a^3 z^9 + 4 z^10 + 4 a^2 z^10, 
 a^2 - a/z - a^3/z + a z + a^3 z - 2 a^2 z^2 - 6 a^4 z^2 - 
  6 a^6 z^2 - 2 a^8 z^2 + 5 a z^3 + 8 a^3 z^3 + 6 a^5 z^3 + 
  8 a^7 z^3 + 5 a^9 z^3 - z^4 + 11 a^2 z^4 + 34 a^4 z^4 + 
  38 a^6 z^4 + 13 a^8 z^4 - 3 a^10 z^4 - 9 a z^5 - 9 a^3 z^5 + 
  a^5 z^5 - 14 a^7 z^5 - 14 a^9 z^5 + a^11 z^5 + z^6 - 19 a^2 z^6 - 
  54 a^4 z^6 - 64 a^6 z^6 - 25 a^8 z^6 + 5 a^10 z^6 + 5 a z^7 - 
  10 a^3 z^7 - 34 a^5 z^7 - 7 a^7 z^7 + 12 a^9 z^7 + 10 a^2 z^8 + 
  19 a^4 z^8 + 26 a^6 z^8 + 17 a^8 z^8 + 10 a^3 z^9 + 23 a^5 z^9 + 
  13 a^7 z^9 + 4 a^4 z^10 + 4 a^6 z^10, 
 a^2 - a/z - a^3/z + 7 a z + 11 a^3 z + 2 a^5 z - 2 a^7 z - 3 z^2 - 
  5 a^2 z^2 - 6 a^4 z^2 - 2 a^6 z^2 + a^8 z^2 - a^10 z^2 + (4 z^3)/
  a - 17 a z^3 - 36 a^3 z^3 - 2 a^5 z^3 + 10 a^7 z^3 - 3 a^9 z^3 + 
  13 z^4 + 11 a^2 z^4 + 16 a^4 z^4 + 12 a^6 z^4 - 5 a^8 z^4 + 
  a^10 z^4 - (4 z^5)/a + 22 a z^5 + 46 a^3 z^5 + 5 a^5 z^5 - 
  12 a^7 z^5 + 3 a^9 z^5 - 12 z^6 - 9 a^2 z^6 - 16 a^4 z^6 - 
  14 a^6 z^6 + 5 a^8 z^6 + z^7/a - 16 a z^7 - 33 a^3 z^7 - 
  9 a^5 z^7 + 7 a^7 z^7 + 3 z^8 - 2 a^2 z^8 + 2 a^4 z^8 + 7 a^6 z^8 + 
  4 a z^9 + 9 a^3 z^9 + 5 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 a^2 - a/z - a^3/z + (6 z)/a + 11 a z + 3 a^3 z - 2 a^5 z - 6 z^2 + (
  2 z^2)/a^4 - z^2/a^2 - 8 a^2 z^2 - 4 a^4 z^2 + a^6 z^2 + (6 z^3)/
  a^3 - (17 z^3)/a - 39 a z^3 - 7 a^3 z^3 + 7 a^5 z^3 - 2 a^7 z^3 + 
  8 z^4 - (3 z^4)/a^4 + (5 z^4)/a^2 + 21 a^2 z^4 + 15 a^4 z^4 - 
  6 a^6 z^4 - (9 z^5)/a^3 + (15 z^5)/a + 53 a z^5 + 17 a^3 z^5 - 
  11 a^5 z^5 + a^7 z^5 - 5 z^6 + z^6/a^4 - (10 z^6)/a^2 - 
  12 a^2 z^6 - 15 a^4 z^6 + 3 a^6 z^6 + (3 z^7)/a^3 - (11 z^7)/a - 
  32 a z^7 - 13 a^3 z^7 + 5 a^5 z^7 - z^8 + (4 z^8)/a^2 + a^2 z^8 + 
  6 a^4 z^8 + (4 z^9)/a + 9 a z^9 + 5 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z - (5 z)/a - 8 a z - 
  2 a^3 z - a^7 z - 6 z^2 - 7 a^2 z^2 - 2 a^4 z^2 + a^6 z^2 + 
  2 a^8 z^2 - (2 z^3)/a^3 + (12 z^3)/a + 11 a z^3 - 18 a^3 z^3 - 
  8 a^5 z^3 + 7 a^7 z^3 + 18 z^4 - (5 z^4)/a^2 + 19 a^2 z^4 + 
  2 a^4 z^4 + 3 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (14 z^5)/a + 
  2 a z^5 + 35 a^3 z^5 + 9 a^5 z^5 - 9 a^7 z^5 - 17 z^6 + (3 z^6)/
  a^2 - 14 a^2 z^6 - 4 a^4 z^6 - 9 a^6 z^6 + a^8 z^6 + (6 z^7)/a - 
  8 a z^7 - 26 a^3 z^7 - 9 a^5 z^7 + 3 a^7 z^7 + 7 z^8 + 3 a^2 z^8 + 
  4 a^6 z^8 + 5 a z^9 + 9 a^3 z^9 + 4 a^5 z^9 + 2 a^2 z^10 + 
  2 a^4 z^10, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z + z/a - 4 a z - 
  10 a^3 z - 4 a^5 z + a^7 z - 10 z^2 - (4 z^2)/a^2 - 13 a^2 z^2 - 
  4 a^4 z^2 + 3 a^6 z^2 - (17 z^3)/a - 12 a z^3 + 22 a^3 z^3 + 
  12 a^5 z^3 - 4 a^7 z^3 + a^9 z^3 + 22 z^4 + (8 z^4)/a^2 + 
  43 a^2 z^4 + 14 a^4 z^4 - 12 a^6 z^4 + 3 a^8 z^4 + (28 z^5)/a + 
  45 a z^5 - 12 a^3 z^5 - 23 a^5 z^5 + 6 a^7 z^5 - 7 z^6 - (5 z^6)/
  a^2 - 36 a^2 z^6 - 25 a^4 z^6 + 9 a^6 z^6 - (16 z^7)/a - 38 a z^7 - 
  11 a^3 z^7 + 11 a^5 z^7 - 5 z^8 + z^8/a^2 + 4 a^2 z^8 + 
  10 a^4 z^8 + (3 z^9)/a + 9 a z^9 + 6 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 1/a^2 - 1/(a^3 z) - 1/(a z) - z/a^5 + (2 z)/a^3 + (6 z)/a + 3 a z - 
  4 z^2 + z^2/a^6 - z^2/a^4 - (4 z^2)/a^2 - a^2 z^2 + a^4 z^2 - z^3/
  a^7 + (6 z^3)/a^5 - (18 z^3)/a - 6 a z^3 + 5 a^3 z^3 + 16 z^4 - (
  5 z^4)/a^6 + (8 z^4)/a^4 + (19 z^4)/a^2 + 8 a^2 z^4 - 2 a^4 z^4 + 
  z^5/a^7 - (12 z^5)/a^5 + z^5/a^3 + (29 z^5)/a + 6 a z^5 - 
  9 a^3 z^5 - 24 z^6 + (4 z^6)/a^6 - (15 z^6)/a^4 - (27 z^6)/a^2 - 
  15 a^2 z^6 + a^4 z^6 + (8 z^7)/a^5 - (8 z^7)/a^3 - (32 z^7)/a - 
  12 a z^7 + 4 a^3 z^7 + 7 z^8 + (10 z^8)/a^4 + (10 z^8)/a^2 + 
  7 a^2 z^8 + (8 z^9)/a^3 + (15 z^9)/a + 7 a z^9 + 3 z^10 + (3 z^10)/
  a^2, -3 - 3 a^2 - a^4 + 2/(a z) + (3 a)/z + a^3/z - z/a^3 - (2 z)/
  a + a z + 2 a^3 z + z^2 + z^2/a^4 + z^2/a^2 + a^4 z^2 + 
  2 a^6 z^2 + (6 z^3)/a^3 + (2 z^3)/a - 12 a z^3 - 2 a^3 z^3 + 
  5 a^5 z^3 - a^7 z^3 + 12 z^4 - (2 z^4)/a^4 + (6 z^4)/a^2 + 
  14 a^2 z^4 + 5 a^4 z^4 - 5 a^6 z^4 - (9 z^5)/a^3 + 20 a z^5 - 
  a^3 z^5 - 11 a^5 z^5 + a^7 z^5 - 24 z^6 + z^6/a^4 - (14 z^6)/a^2 - 
  26 a^2 z^6 - 13 a^4 z^6 + 4 a^6 z^6 + (4 z^7)/a^3 - (10 z^7)/a - 
  28 a z^7 - 6 a^3 z^7 + 8 a^5 z^7 + 8 z^8 + (7 z^8)/a^2 + 
  11 a^2 z^8 + 10 a^4 z^8 + (7 z^9)/a + 15 a z^9 + 8 a^3 z^9 + 
  3 z^10 + 3 a^2 z^10, 
 1/a^2 + 1/(a^5 z) + 2/(a^3 z) + 2/(a z) + a/z - z/a^7 - (3 z)/a^5 - (
  7 z)/a^3 - (9 z)/a - 4 a z - 5 z^2 + z^2/a^8 - z^2/a^6 - (6 z^2)/
  a^4 - (9 z^2)/a^2 + (6 z^3)/a^7 + (5 z^3)/a^5 + (5 z^3)/a^3 + (
  16 z^3)/a + 9 a z^3 - a^3 z^3 + 16 z^4 - (2 z^4)/a^8 + (7 z^4)/
  a^6 + (23 z^4)/a^4 + (34 z^4)/a^2 - 4 a^2 z^4 - (9 z^5)/a^7 - (
  3 z^5)/a^5 + (12 z^5)/a^3 - (9 z^5)/a - 14 a z^5 + a^3 z^5 - 
  21 z^6 + z^6/a^8 - (14 z^6)/a^6 - (32 z^6)/a^4 - (42 z^6)/a^2 + 
  4 a^2 z^6 + (4 z^7)/a^7 - (9 z^7)/a^5 - (29 z^7)/a^3 - (7 z^7)/a + 
  9 a z^7 + 12 z^8 + (7 z^8)/a^6 + (10 z^8)/a^4 + (15 z^8)/a^2 + (
  7 z^9)/a^5 + (16 z^9)/a^3 + (9 z^9)/a + (3 z^10)/a^4 + (3 z^10)/
  a^2, -(1/a^8) - 3/a^6 - 3/a^4 + 1/(a^7 z) + 3/(a^5 z) + 2/(a^3 z) - 
  z/a^9 - (2 z)/a^7 - (5 z)/a^5 - (6 z)/a^3 - (2 z)/a + z^2 + z^2/
  a^10 - (4 z^2)/a^8 - (9 z^2)/a^6 - (6 z^2)/a^4 - z^2/a^2 - z^3/
  a^11 + (4 z^3)/a^9 + (4 z^3)/a^7 + (3 z^3)/a^5 + (10 z^3)/a^3 + (
  6 z^3)/a - 2 z^4 - (5 z^4)/a^10 + (14 z^4)/a^8 + (41 z^4)/a^6 + (
  30 z^4)/a^4 + (6 z^4)/a^2 + z^5/a^11 - (11 z^5)/a^9 + (2 z^5)/
  a^7 + (17 z^5)/a^5 - (6 z^5)/a^3 - (9 z^5)/a + z^6 + (4 z^6)/
  a^10 - (19 z^6)/a^8 - (44 z^6)/a^6 - (36 z^6)/a^4 - (14 z^6)/a^2 + (
  8 z^7)/a^9 - (11 z^7)/a^7 - (32 z^7)/a^5 - (9 z^7)/a^3 + (4 z^7)/
  a + (11 z^8)/a^8 + (14 z^8)/a^6 + (10 z^8)/a^4 + (7 z^8)/a^2 + (
  9 z^9)/a^7 + (16 z^9)/a^5 + (7 z^9)/a^3 + (3 z^10)/a^6 + (3 z^10)/
  a^4, 1/a^2 - 1/(a^3 z) - 1/(a z) - (2 z)/a^7 - (3 z)/a^5 - a z - 
  3 z^2 + z^2/a^8 - (4 z^2)/a^6 - (10 z^2)/a^4 - (8 z^2)/a^2 + (
  6 z^3)/a^7 + (12 z^3)/a^5 + (15 z^3)/a^3 + (15 z^3)/a + 6 a z^3 + 
  11 z^4 - (2 z^4)/a^8 + (12 z^4)/a^6 + (41 z^4)/a^4 + (41 z^4)/a^2 - 
  3 a^2 z^4 - (8 z^5)/a^7 - (10 z^5)/a^5 - (12 z^5)/a^3 - (26 z^5)/
  a - 15 a z^5 + a^3 z^5 - 23 z^6 + z^6/a^8 - (16 z^6)/a^6 - (54 z^6)/
  a^4 - (65 z^6)/a^2 + 5 a^2 z^6 + (4 z^7)/a^7 - (7 z^7)/a^5 - (
  23 z^7)/a^3 + 12 a z^7 + 16 z^8 + (8 z^8)/a^6 + (19 z^8)/a^4 + (
  27 z^8)/a^2 + (8 z^9)/a^5 + (19 z^9)/a^3 + (11 z^9)/a + (3 z^10)/
  a^4 + (3 z^10)/a^2, -3 - 1/a^4 - 3/a^2 + 1/(a^3 z) + 3/(a z) + (
  2 a)/z - (3 z)/a^3 - (10 z)/a - 9 a z - 2 a^3 z - 6 z^2 - (3 z^2)/
  a^2 - 2 a^2 z^2 + a^4 z^2 + z^3/a^5 - z^3/a^3 + (7 z^3)/a + 
  22 a z^3 + 12 a^3 z^3 - a^5 z^3 + 46 z^4 + (12 z^4)/a^4 + (36 z^4)/
  a^2 + 15 a^2 z^4 - 6 a^4 z^4 + a^6 z^4 - (2 z^5)/a^5 + (19 z^5)/
  a^3 + (28 z^5)/a - 18 a z^5 - 21 a^3 z^5 + 4 a^5 z^5 - 62 z^6 - (
  15 z^6)/a^4 - (39 z^6)/a^2 - 29 a^2 z^6 + 9 a^4 z^6 + z^7/a^5 - (
  24 z^7)/a^3 - (52 z^7)/a - 12 a z^7 + 15 a^3 z^7 + 16 z^8 + (5 z^8)/
  a^4 + (4 z^8)/a^2 + 17 a^2 z^8 + (8 z^9)/a^3 + (20 z^9)/a + 
  12 a z^9 + 4 z^10 + (4 z^10)/a^2, 
 1/a^2 - 1/(a^3 z) - 1/(a z) - z/a^9 - z/a^7 - z/a^5 - (2 z)/a^3 - z/
  a + z^2 + z^2/a^10 - (3 z^2)/a^8 - (6 z^2)/a^6 - (2 z^2)/a^4 + z^2/
  a^2 - z^3/a^11 + (6 z^3)/a^9 + (7 z^3)/a^7 + (5 z^3)/a^5 + (13 z^3)/
  a^3 + (8 z^3)/a - 2 z^4 - (5 z^4)/a^10 + (11 z^4)/a^8 + (26 z^4)/
  a^6 + (15 z^4)/a^4 + (3 z^4)/a^2 + z^5/a^11 - (12 z^5)/a^9 - (
  8 z^5)/a^7 - z^5/a^5 - (16 z^5)/a^3 - (10 z^5)/a + z^6 + (4 z^6)/
  a^10 - (16 z^6)/a^8 - (36 z^6)/a^6 - (28 z^6)/a^4 - (11 z^6)/a^2 + (
  8 z^7)/a^9 - (3 z^7)/a^7 - (16 z^7)/a^5 - z^7/a^3 + (4 z^7)/a + (
  10 z^8)/a^8 + (15 z^8)/a^6 + (11 z^8)/a^4 + (6 z^8)/a^2 + (7 z^9)/
  a^7 + (12 z^9)/a^5 + (5 z^9)/a^3 + (2 z^10)/a^6 + (2 z^10)/a^4, 
 1/a^2 - 1/(a^3 z) - 1/(a z) - z/a^7 - z/a^5 - (2 z)/a - 2 a z + 
  2 z^2 + z^2/a^8 - z^2/a^6 - (3 z^2)/a^4 - z^2/a^2 + 2 a^2 z^2 + (
  6 z^3)/a^7 + (8 z^3)/a^5 + (9 z^3)/a^3 + (16 z^3)/a + 8 a z^3 - 
  a^3 z^3 - (2 z^4)/a^8 + (9 z^4)/a^6 + (19 z^4)/a^4 + (13 z^4)/a^2 - 
  5 a^2 z^4 - (9 z^5)/a^7 - (9 z^5)/a^5 - (10 z^5)/a^3 - (23 z^5)/a - 
  12 a z^5 + a^3 z^5 - 9 z^6 + z^6/a^8 - (15 z^6)/a^6 - (33 z^6)/
  a^4 - (30 z^6)/a^2 + 4 a^2 z^6 + (4 z^7)/a^7 - (5 z^7)/a^5 - (
  12 z^7)/a^3 + (5 z^7)/a + 8 a z^7 + 9 z^8 + (7 z^8)/a^6 + (13 z^8)/
  a^4 + (15 z^8)/a^2 + (6 z^9)/a^5 + (12 z^9)/a^3 + (6 z^9)/a + (
  2 z^10)/a^4 + (2 z^10)/a^2, 
 a^2 - a/z - a^3/z - (2 z)/a - 5 a z - 5 a^3 z - 2 a^5 z + 2 z^2 + (
  2 z^2)/a^2 - 2 a^2 z^2 - 2 a^4 z^2 - z^3/a^3 + (7 z^3)/a + 
  16 a z^3 + 12 a^3 z^3 + 7 a^5 z^3 + 3 a^7 z^3 + 2 z^4 - (5 z^4)/
  a^2 + 23 a^2 z^4 + 29 a^4 z^4 + 12 a^6 z^4 - a^8 z^4 + z^5/a^3 - (
  11 z^5)/a - 16 a z^5 - 5 a^5 z^5 - 9 a^7 z^5 - 11 z^6 + (4 z^6)/
  a^2 - 39 a^2 z^6 - 47 a^4 z^6 - 22 a^6 z^6 + a^8 z^6 + (8 z^7)/a - 
  a z^7 - 26 a^3 z^7 - 12 a^5 z^7 + 5 a^7 z^7 + 10 z^8 + 16 a^2 z^8 + 
  16 a^4 z^8 + 10 a^6 z^8 + 8 a z^9 + 17 a^3 z^9 + 9 a^5 z^9 + 
  3 a^2 z^10 + 3 a^4 z^10, 
 a^6 + a^3/z + (2 a^5)/z + (2 a^7)/z + a^9/z + a z - 4 a^3 z - 
  10 a^5 z - 12 a^7 z - 7 a^9 z + 2 a^2 z^2 + a^4 z^2 - 7 a^6 z^2 - 
  9 a^8 z^2 - 3 a^10 z^2 - 2 a z^3 + 6 a^3 z^3 + 22 a^5 z^3 + 
  25 a^7 z^3 + 18 a^9 z^3 + 7 a^11 z^3 - 5 a^2 z^4 - a^4 z^4 + 
  18 a^6 z^4 + 28 a^8 z^4 + 12 a^10 z^4 - 2 a^12 z^4 + a z^5 - 
  8 a^3 z^5 - 21 a^5 z^5 - 16 a^7 z^5 - 15 a^9 z^5 - 11 a^11 z^5 + 
  3 a^2 z^6 - 4 a^4 z^6 - 22 a^6 z^6 - 32 a^8 z^6 - 16 a^10 z^6 + 
  a^12 z^6 + 5 a^3 z^7 + 6 a^5 z^7 - 5 a^7 z^7 - 2 a^9 z^7 + 
  4 a^11 z^7 + 5 a^4 z^8 + 10 a^6 z^8 + 11 a^8 z^8 + 6 a^10 z^8 + 
  3 a^5 z^9 + 7 a^7 z^9 + 4 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 5 - 1/a^4 + 5 a^2 - 2/(a z) - (5 a)/z - (3 a^3)/z - (2 z)/a^3 + (
  3 z)/a + 22 a z + 15 a^3 z - 2 a^5 z - 19 z^2 - z^2/a^6 + (3 z^2)/
  a^4 + (4 z^2)/a^2 - 20 a^2 z^2 - a^4 z^2 - (3 z^3)/a^5 + (7 z^3)/
  a^3 + (5 z^3)/a - 40 a z^3 - 28 a^3 z^3 + 7 a^5 z^3 + 27 z^4 + z^4/
  a^6 - (6 z^4)/a^4 + 28 a^2 z^4 + 8 a^4 z^4 + (3 z^5)/a^5 - (9 z^5)/
  a^3 - (7 z^5)/a + 36 a z^5 + 26 a^3 z^5 - 5 a^5 z^5 - 21 z^6 + (
  5 z^6)/a^4 - (6 z^6)/a^2 - 18 a^2 z^6 - 8 a^4 z^6 + (6 z^7)/a^3 - 
  z^7/a - 22 a z^7 - 14 a^3 z^7 + a^5 z^7 + 5 z^8 + (5 z^8)/a^2 + 
  2 a^2 z^8 + 2 a^4 z^8 + (3 z^9)/a + 6 a z^9 + 3 a^3 z^9 + z^10 + 
  a^2 z^10, 
 5 + 2/a^2 + 3 a^2 - a^4 - 1/(a z) - (2 a)/z + a^5/z - z/a^3 + z/a + 
  9 a z - 7 a^5 z - 25 z^2 + (2 z^2)/a^4 - (4 z^2)/a^2 - 
  19 a^2 z^2 + (7 z^3)/a^3 + (2 z^3)/a - 17 a z^3 + 5 a^3 z^3 + 
  15 a^5 z^3 - 2 a^7 z^3 + 34 z^4 - (3 z^4)/a^4 + (7 z^4)/a^2 + 
  38 a^2 z^4 + 9 a^4 z^4 - 5 a^6 z^4 - (9 z^5)/a^3 - (4 z^5)/a + 
  20 a z^5 - a^3 z^5 - 15 a^5 z^5 + a^7 z^5 - 25 z^6 + z^6/a^4 - (
  10 z^6)/a^2 - 29 a^2 z^6 - 12 a^4 z^6 + 3 a^6 z^6 + (3 z^7)/a^3 - (
  3 z^7)/a - 16 a z^7 - 4 a^3 z^7 + 6 a^5 z^7 + 7 z^8 + (4 z^8)/a^2 + 
  9 a^2 z^8 + 6 a^4 z^8 + (3 z^9)/a + 7 a z^9 + 4 a^3 z^9 + z^10 + 
  a^2 z^10, 
 5 a^6 + 5 a^8 - a^12 - (3 a^5)/z - (5 a^7)/z - (2 a^9)/z - 3 a^3 z + 
  10 a^5 z + 25 a^7 z + 12 a^9 z - 2 a^4 z^2 - 15 a^6 z^2 - 
  22 a^8 z^2 - 2 a^10 z^2 + 5 a^12 z^2 - 2 a^14 z^2 + 7 a^3 z^3 - 
  9 a^5 z^3 - 53 a^7 z^3 - 28 a^9 z^3 + 6 a^11 z^3 - 3 a^13 z^3 + 
  10 a^4 z^4 + 18 a^6 z^4 + 25 a^8 z^4 + 10 a^10 z^4 - 6 a^12 z^4 + 
  a^14 z^4 - 5 a^3 z^5 + 9 a^5 z^5 + 50 a^7 z^5 + 28 a^9 z^5 - 
  6 a^11 z^5 + 2 a^13 z^5 - 9 a^4 z^6 - 9 a^6 z^6 - 11 a^8 z^6 - 
  8 a^10 z^6 + 3 a^12 z^6 + a^3 z^7 - 8 a^5 z^7 - 25 a^7 z^7 - 
  13 a^9 z^7 + 3 a^11 z^7 + 2 a^4 z^8 - a^6 z^8 + 3 a^10 z^8 + 
  2 a^5 z^9 + 5 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + a^8 z^10, -a^4 + 
  3 a^6 + 5 a^8 + 2 a^10 + a^3/z - (2 a^7)/z - a^9/z + a z - 
  5 a^3 z - 3 a^5 z + 10 a^7 z + 7 a^9 z + a^2 z^2 + a^4 z^2 - 
  9 a^6 z^2 - 22 a^8 z^2 - 9 a^10 z^2 + 4 a^12 z^2 - 2 a z^3 + 
  6 a^3 z^3 + 13 a^5 z^3 - 19 a^7 z^3 - 20 a^9 z^3 + 4 a^11 z^3 - 
  5 a^2 z^4 + 2 a^4 z^4 + 20 a^6 z^4 + 28 a^8 z^4 + 11 a^10 z^4 - 
  4 a^12 z^4 + a z^5 - 9 a^3 z^5 - 11 a^5 z^5 + 22 a^7 z^5 + 
  17 a^9 z^5 - 6 a^11 z^5 + 3 a^2 z^6 - 7 a^4 z^6 - 17 a^6 z^6 - 
  17 a^8 z^6 - 9 a^10 z^6 + a^12 z^6 + 5 a^3 z^7 + a^5 z^7 - 
  15 a^7 z^7 - 9 a^9 z^7 + 2 a^11 z^7 + 5 a^4 z^8 + 6 a^6 z^8 + 
  4 a^8 z^8 + 3 a^10 z^8 + 3 a^5 z^9 + 6 a^7 z^9 + 3 a^9 z^9 + 
  a^6 z^10 + a^8 z^10, -1 - 3 a^2 - 3 a^4 + a/z + (3 a^3)/z + (2 a^5)/
  z + z/a - a z - 12 a^3 z - 9 a^5 z - a^7 z - 2 a^9 z + 3 z^2 - z^2/
  a^2 + 12 a^2 z^2 + 6 a^4 z^2 - 6 a^6 z^2 - 4 a^8 z^2 - (3 z^3)/a + 
  3 a z^3 + 20 a^3 z^3 + 15 a^5 z^3 + 6 a^7 z^3 + 5 a^9 z^3 - 5 z^4 + 
  z^4/a^2 - 11 a^2 z^4 + 4 a^4 z^4 + 23 a^6 z^4 + 14 a^8 z^4 + (
  3 z^5)/a - 6 a z^5 - 20 a^3 z^5 - 6 a^5 z^5 + a^7 z^5 - 4 a^9 z^5 + 
  5 z^6 - a^2 z^6 - 18 a^4 z^6 - 24 a^6 z^6 - 12 a^8 z^6 + 6 a z^7 + 
  4 a^3 z^7 - 11 a^5 z^7 - 8 a^7 z^7 + a^9 z^7 + 5 a^2 z^8 + 
  7 a^4 z^8 + 5 a^6 z^8 + 3 a^8 z^8 + 3 a^3 z^9 + 6 a^5 z^9 + 
  3 a^7 z^9 + a^4 z^10 + a^6 z^10, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/
  z + (3 a^5)/z + a^7/z + 2 a z - 6 a^3 z - 13 a^5 z - 2 a^7 z + 
  3 a^9 z + a^2 z^2 + 4 a^4 z^2 + 9 a^6 z^2 + a^8 z^2 - 3 a^10 z^2 + 
  2 a^12 z^2 - 3 a z^3 + 6 a^3 z^3 + 20 a^5 z^3 - 3 a^7 z^3 - 
  8 a^9 z^3 + 6 a^11 z^3 - 4 a^2 z^4 + a^4 z^4 - 2 a^6 z^4 + 
  4 a^8 z^4 + 8 a^10 z^4 - 3 a^12 z^4 + a z^5 - 6 a^3 z^5 - 
  10 a^5 z^5 + 11 a^7 z^5 + 5 a^9 z^5 - 9 a^11 z^5 + 2 a^2 z^6 - 
  4 a^4 z^6 - 3 a^6 z^6 - 9 a^8 z^6 - 11 a^10 z^6 + a^12 z^6 + 
  3 a^3 z^7 + a^5 z^7 - 11 a^7 z^7 - 6 a^9 z^7 + 3 a^11 z^7 + 
  3 a^4 z^8 + 2 a^6 z^8 + 3 a^8 z^8 + 4 a^10 z^8 + 2 a^5 z^9 + 
  5 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 a^2 - a/z - a^3/z - z/a + 3 a z + 4 a^3 z - a^5 z + 2 a^7 z + 
  3 a^9 z - z^2 - a^2 z^2 - 3 a^4 z^2 - a^6 z^2 - 4 a^8 z^2 - 
  6 a^10 z^2 + z^3/a - 3 a z^3 - 4 a^3 z^3 + 4 a^5 z^3 - 12 a^7 z^3 - 
  16 a^9 z^3 + 2 z^4 - 2 a^2 z^4 + 4 a^4 z^4 + 8 a^6 z^4 + 
  11 a^8 z^4 + 11 a^10 z^4 + 3 a z^5 - 3 a^3 z^5 - 3 a^5 z^5 + 
  26 a^7 z^5 + 23 a^9 z^5 + 3 a^2 z^6 - 7 a^4 z^6 - 7 a^6 z^6 - 
  3 a^8 z^6 - 6 a^10 z^6 + 3 a^3 z^7 - 4 a^5 z^7 - 19 a^7 z^7 - 
  12 a^9 z^7 + 3 a^4 z^8 - a^6 z^8 - 3 a^8 z^8 + a^10 z^8 + 
  2 a^5 z^9 + 4 a^7 z^9 + 2 a^9 z^9 + a^6 z^10 + a^8 z^10, -(1/a^8) - 
  3/a^6 - 3/a^4 + 1/(a^7 z) + 3/(a^5 z) + 2/(a^3 z) - z/a^11 - (3 z)/
  a^9 - (8 z)/a^7 - (13 z)/a^5 - (7 z)/a^3 + (3 z^2)/a^12 + (5 z^2)/
  a^10 + (6 z^2)/a^8 + (6 z^2)/a^6 + (2 z^2)/a^4 - (2 z^3)/a^13 + (
  5 z^3)/a^11 + (14 z^3)/a^9 + (21 z^3)/a^7 + (23 z^3)/a^5 + (9 z^3)/
  a^3 + z^4/a^14 - (8 z^4)/a^12 - (8 z^4)/a^10 + (3 z^4)/a^8 + (
  8 z^4)/a^6 + (6 z^4)/a^4 + (4 z^5)/a^13 - (12 z^5)/a^11 - (24 z^5)/
  a^9 - (15 z^5)/a^7 - (12 z^5)/a^5 - (5 z^5)/a^3 + (8 z^6)/a^12 - (
  5 z^6)/a^10 - (22 z^6)/a^8 - (16 z^6)/a^6 - (7 z^6)/a^4 + (10 z^7)/
  a^11 + (6 z^7)/a^9 - (7 z^7)/a^7 - (2 z^7)/a^5 + z^7/a^3 + (8 z^8)/
  a^10 + (10 z^8)/a^8 + (4 z^8)/a^6 + (2 z^8)/a^4 + (4 z^9)/a^9 + (
  6 z^9)/a^7 + (2 z^9)/a^5 + z^10/a^8 + z^10/a^6, 
 1/a^2 - 1/(a^3 z) - 1/(a z) - z/a^11 - z/a^9 + z/a^7 + (3 z)/a^5 + (
  5 z)/a^3 + (3 z)/a + z^2/a^12 - (4 z^2)/a^10 - (9 z^2)/a^8 - (
  5 z^2)/a^6 + z^2/a^2 + (7 z^3)/a^11 + (4 z^3)/a^9 - (7 z^3)/a^7 - (
  8 z^3)/a^5 - (7 z^3)/a^3 - (3 z^3)/a - (3 z^4)/a^12 + (11 z^4)/
  a^10 + (23 z^4)/a^8 + (10 z^4)/a^6 - (3 z^4)/a^4 - (4 z^4)/a^2 - (
  10 z^5)/a^11 + z^5/a^9 + (19 z^5)/a^7 + (7 z^5)/a^5 + z^5/a + z^6/
  a^12 - (13 z^6)/a^10 - (17 z^6)/a^8 - (5 z^6)/a^6 + (2 z^6)/a^2 + (
  3 z^7)/a^11 - (7 z^7)/a^9 - (15 z^7)/a^7 - (3 z^7)/a^5 + (2 z^7)/
  a^3 + (4 z^8)/a^10 + (3 z^8)/a^8 + z^8/a^6 + (2 z^8)/a^4 + (3 z^9)/
  a^9 + (5 z^9)/a^7 + (2 z^9)/a^5 + z^10/a^8 + z^10/a^6, -3 - 3 a^2 - 
  a^4 + 2/(a z) + (3 a)/z + a^3/z - (4 z)/a^3 - (12 z)/a - 11 a z - 
  4 a^3 z - a^5 z + 2 z^2 + (2 z^2)/a^4 + (2 z^2)/a^2 + 3 a^2 z^2 + 
  3 a^4 z^2 + 2 a^6 z^2 + (9 z^3)/a^3 + (22 z^3)/a + 21 a z^3 + 
  14 a^3 z^3 + 5 a^5 z^3 - a^7 z^3 + 13 z^4 - (3 z^4)/a^4 + (2 z^4)/
  a^2 + 12 a^2 z^4 - 2 a^4 z^4 - 6 a^6 z^4 - (9 z^5)/a^3 - (17 z^5)/
  a - 15 a z^5 - 19 a^3 z^5 - 11 a^5 z^5 + a^7 z^5 - 22 z^6 + z^6/
  a^4 - (8 z^6)/a^2 - 24 a^2 z^6 - 7 a^4 z^6 + 4 a^6 z^6 + (3 z^7)/
  a^3 + z^7/a - 4 a z^7 + 5 a^3 z^7 + 7 a^5 z^7 + 9 z^8 + (4 z^8)/
  a^2 + 12 a^2 z^8 + 7 a^4 z^8 + (3 z^9)/a + 7 a z^9 + 4 a^3 z^9 + 
  z^10 + a^2 z^10, 
 1/a^2 - 1/(a^3 z) - 1/(a z) + (2 z)/a^5 + (5 z)/a^3 + (4 z)/a + a z -
   a^3 z - a^5 z - 6 z^2 - z^2/a^6 - 11 a^2 z^2 - 6 a^4 z^2 - (4 z^3)/
  a^5 - (7 z^3)/a^3 - (5 z^3)/a - 4 a z^3 + 2 a^3 z^3 + 4 a^5 z^3 + 
  19 z^4 + z^4/a^6 - (3 z^4)/a^4 - z^4/a^2 + 32 a^2 z^4 + 
  16 a^4 z^4 + (3 z^5)/a^5 + z^5/a + 14 a z^5 + 6 a^3 z^5 - 
  4 a^5 z^5 - 20 z^6 + (4 z^6)/a^4 - (3 z^6)/a^2 - 26 a^2 z^6 - 
  13 a^4 z^6 + (4 z^7)/a^3 - (3 z^7)/a - 18 a z^7 - 10 a^3 z^7 + 
  a^5 z^7 + 5 z^8 + (4 z^8)/a^2 + 4 a^2 z^8 + 3 a^4 z^8 + (3 z^9)/a + 
  6 a z^9 + 3 a^3 z^9 + z^10 + a^2 z^10, -(1/a^8) - 3/a^6 - 3/a^4 + 
  1/(a^7 z) + 3/(a^5 z) + 2/(a^3 z) - z/a^11 - (3 z)/a^9 - (8 z)/
  a^7 - (13 z)/a^5 - (7 z)/a^3 + z^2/a^12 - (3 z^2)/a^10 - (6 z^2)/
  a^8 - (2 z^2)/a^6 + (6 z^3)/a^11 + (11 z^3)/a^9 + (25 z^3)/a^7 + (
  33 z^3)/a^5 + (12 z^3)/a^3 - z^3/a - (2 z^4)/a^12 + (10 z^4)/
  a^10 + (29 z^4)/a^8 + (31 z^4)/a^6 + (10 z^4)/a^4 - (4 z^4)/a^2 - (
  9 z^5)/a^11 - (12 z^5)/a^9 - (18 z^5)/a^7 - (31 z^5)/a^5 - (15 z^5)/
  a^3 + z^5/a + z^6/a^12 - (15 z^6)/a^10 - (41 z^6)/a^8 - (46 z^6)/
  a^6 - (17 z^6)/a^4 + (4 z^6)/a^2 + (4 z^7)/a^11 - (4 z^7)/a^9 - (
  13 z^7)/a^7 + (4 z^7)/a^5 + (9 z^7)/a^3 + (7 z^8)/a^10 + (15 z^8)/
  a^8 + (19 z^8)/a^6 + (11 z^8)/a^4 + (6 z^9)/a^9 + (13 z^9)/a^7 + (
  7 z^9)/a^5 + (2 z^10)/a^8 + (2 z^10)/a^6, -3 - 3 a^2 - a^4 + 2/(
  a z) + (3 a)/z + a^3/z - (4 z)/a^3 - (12 z)/a - 11 a z - 4 a^3 z - 
  a^5 z - 6 z^2 + (2 z^2)/a^4 - 9 a^2 z^2 - 5 a^4 z^2 - z^3/a^5 + (
  13 z^3)/a^3 + (35 z^3)/a + 27 a z^3 + 9 a^3 z^3 + 3 a^5 z^3 + 
  43 z^4 + z^4/a^6 - (7 z^4)/a^4 + (6 z^4)/a^2 + 45 a^2 z^4 + 
  16 a^4 z^4 + (4 z^5)/a^5 - (20 z^5)/a^3 - (39 z^5)/a - 10 a z^5 + 
  2 a^3 z^5 - 3 a^5 z^5 - 61 z^6 + (9 z^6)/a^4 - (20 z^6)/a^2 - 
  46 a^2 z^6 - 14 a^4 z^6 + (14 z^7)/a^3 + (3 z^7)/a - 24 a z^7 - 
  12 a^3 z^7 + a^5 z^7 + 20 z^8 + (14 z^8)/a^2 + 10 a^2 z^8 + 
  4 a^4 z^8 + (8 z^9)/a + 13 a z^9 + 5 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 a^6 + a^3/z + (2 a^5)/z + (2 a^7)/z + a^9/z - 5 a^3 z - 9 a^5 z - 
  9 a^7 z - 3 a^9 z + 2 a^11 z - 3 a^4 z^2 - 10 a^6 z^2 - 6 a^8 z^2 + 
  2 a^10 z^2 + a^12 z^2 + 8 a^3 z^3 + 15 a^5 z^3 + 12 a^7 z^3 + 
  7 a^9 z^3 - a^11 z^3 - 3 a^13 z^3 + 9 a^4 z^4 + 23 a^6 z^4 + 
  22 a^8 z^4 - 7 a^12 z^4 + a^14 z^4 - 5 a^3 z^5 - 6 a^5 z^5 + 
  2 a^7 z^5 - 9 a^9 z^5 - 8 a^11 z^5 + 4 a^13 z^5 - 8 a^4 z^6 - 
  19 a^6 z^6 - 26 a^8 z^6 - 8 a^10 z^6 + 7 a^12 z^6 + a^3 z^7 - 
  4 a^5 z^7 - 14 a^7 z^7 - a^9 z^7 + 8 a^11 z^7 + 2 a^4 z^8 + 
  3 a^6 z^8 + 8 a^8 z^8 + 7 a^10 z^8 + 2 a^5 z^9 + 6 a^7 z^9 + 
  4 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 5 - 1/a^4 + 5 a^2 - 2/(a z) - (5 a)/z - (3 a^3)/z + (9 z)/a + 
  25 a z + 12 a^3 z - 3 a^5 z + a^7 z - 20 z^2 + (4 z^2)/a^4 + (
  2 z^2)/a^2 - 20 a^2 z^2 - a^4 z^2 + a^6 z^2 + (5 z^3)/a^3 - (
  16 z^3)/a - 54 a z^3 - 22 a^3 z^3 + 8 a^5 z^3 - 3 a^7 z^3 + 
  19 z^4 - (4 z^4)/a^4 + 29 a^2 z^4 + 9 a^4 z^4 - 5 a^6 z^4 - (7 z^5)/
  a^3 + (12 z^5)/a + 55 a z^5 + 26 a^3 z^5 - 9 a^5 z^5 + a^7 z^5 - 
  6 z^6 + z^6/a^4 - (5 z^6)/a^2 - 11 a^2 z^6 - 9 a^4 z^6 + 
  2 a^6 z^6 + (2 z^7)/a^3 - (7 z^7)/a - 25 a z^7 - 13 a^3 z^7 + 
  3 a^5 z^7 - z^8 + (2 z^8)/a^2 + 3 a^4 z^8 + (2 z^9)/a + 5 a z^9 + 
  3 a^3 z^9 + z^10 + a^2 z^10, 
 5 + 2/a^2 + 3 a^2 - a^4 - 1/(a z) - (2 a)/z + a^5/z + (4 z)/a + 
  10 a z - a^3 z - 5 a^5 z + 2 a^7 z - 26 z^2 - (9 z^2)/a^2 - 
  16 a^2 z^2 + 3 a^4 z^2 + 2 a^6 z^2 - (14 z^3)/a - 21 a z^3 + 
  9 a^3 z^3 + 10 a^5 z^3 - 5 a^7 z^3 + a^9 z^3 + 39 z^4 + (12 z^4)/
  a^2 + 41 a^2 z^4 + a^4 z^4 - 10 a^6 z^4 + 3 a^8 z^4 + (20 z^5)/a + 
  35 a z^5 - 9 a^3 z^5 - 18 a^5 z^5 + 6 a^7 z^5 - 18 z^6 - (6 z^6)/
  a^2 - 34 a^2 z^6 - 14 a^4 z^6 + 8 a^6 z^6 - (11 z^7)/a - 26 a z^7 - 
  6 a^3 z^7 + 9 a^5 z^7 + z^8/a^2 + 6 a^2 z^8 + 7 a^4 z^8 + (2 z^9)/
  a + 6 a z^9 + 4 a^3 z^9 + z^10 + a^2 z^10, 
 5 a^6 + 5 a^8 - a^12 - (3 a^5)/z - (5 a^7)/z - (2 a^9)/z + 
  16 a^5 z + 25 a^7 z + 6 a^9 z - 3 a^11 z - 14 a^6 z^2 - 22 a^8 z^2 +
   a^10 z^2 + 6 a^12 z^2 - 2 a^14 z^2 + a^16 z^2 - 29 a^5 z^3 - 
  59 a^7 z^3 - 9 a^9 z^3 + 13 a^11 z^3 - 6 a^13 z^3 + 2 a^15 z^3 + 
  4 a^6 z^4 + 31 a^8 z^4 + 11 a^10 z^4 - 13 a^12 z^4 + 3 a^14 z^4 + 
  23 a^5 z^5 + 62 a^7 z^5 + 18 a^9 z^5 - 17 a^11 z^5 + 4 a^13 z^5 + 
  9 a^6 z^6 - 11 a^8 z^6 - 15 a^10 z^6 + 5 a^12 z^6 - 8 a^5 z^7 - 
  27 a^7 z^7 - 14 a^9 z^7 + 5 a^11 z^7 - 6 a^6 z^8 - 2 a^8 z^8 + 
  4 a^10 z^8 + a^5 z^9 + 4 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + 
  a^8 z^10, -a^4 + 3 a^6 + 5 a^8 + 2 a^10 + a^3/z - (2 a^7)/z - a^9/
  z - 5 a^3 z + a^5 z + 12 a^7 z + 4 a^9 z - 2 a^11 z + a^4 z^2 - 
  10 a^6 z^2 - 25 a^8 z^2 - 9 a^10 z^2 + 3 a^12 z^2 - 2 a^14 z^2 + 
  8 a^3 z^3 + 3 a^5 z^3 - 29 a^7 z^3 - 9 a^9 z^3 + 12 a^11 z^3 - 
  3 a^13 z^3 + 7 a^4 z^4 + 14 a^6 z^4 + 31 a^8 z^4 + 18 a^10 z^4 - 
  5 a^12 z^4 + a^14 z^4 - 5 a^3 z^5 + a^5 z^5 + 31 a^7 z^5 + 
  13 a^9 z^5 - 10 a^11 z^5 + 2 a^13 z^5 - 8 a^4 z^6 - 10 a^6 z^6 - 
  17 a^8 z^6 - 12 a^10 z^6 + 3 a^12 z^6 + a^3 z^7 - 6 a^5 z^7 - 
  20 a^7 z^7 - 9 a^9 z^7 + 4 a^11 z^7 + 2 a^4 z^8 + 2 a^8 z^8 + 
  4 a^10 z^8 + 2 a^5 z^9 + 5 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + 
  a^8 z^10, -1 - 3 a^2 - 3 a^4 + a/z + (3 a^3)/z + (2 a^5)/z - 
  4 a z - 12 a^3 z - 4 a^5 z + 3 a^7 z + a^11 z + 4 z^2 + 9 a^2 z^2 + 
  3 a^4 z^2 - 6 a^6 z^2 - 2 a^8 z^2 + 2 a^10 z^2 + 7 a z^3 + 
  12 a^3 z^3 - 3 a^5 z^3 - 6 a^7 z^3 - 2 a^11 z^3 - 4 z^4 - 
  6 a^2 z^4 + 5 a^4 z^4 + 16 a^6 z^4 + 3 a^8 z^4 - 6 a^10 z^4 - 
  7 a z^5 - 4 a^3 z^5 + 17 a^5 z^5 + 7 a^7 z^5 - 6 a^9 z^5 + 
  a^11 z^5 + z^6 - 3 a^2 z^6 - 6 a^4 z^6 - 11 a^6 z^6 - 6 a^8 z^6 + 
  3 a^10 z^6 + 2 a z^7 - 3 a^3 z^7 - 14 a^5 z^7 - 5 a^7 z^7 + 
  4 a^9 z^7 + 2 a^2 z^8 + a^4 z^8 + 3 a^6 z^8 + 4 a^8 z^8 + 
  2 a^3 z^9 + 5 a^5 z^9 + 3 a^7 z^9 + a^4 z^10 + a^6 z^10, -3 a^4 - 
  3 a^6 - a^8 + (2 a^3)/z + (3 a^5)/z + a^7/z - 9 a^3 z - 11 a^5 z + 
  2 a^7 z + 3 a^9 z - a^11 z + 7 a^4 z^2 + 15 a^6 z^2 + 2 a^8 z^2 - 
  3 a^10 z^2 + 2 a^12 z^2 - a^14 z^2 + 12 a^3 z^3 + 16 a^5 z^3 - 
  15 a^7 z^3 - 8 a^9 z^3 + 8 a^11 z^3 - 3 a^13 z^3 - a^4 z^4 - 
  19 a^6 z^4 - 2 a^8 z^4 + 9 a^10 z^4 - 6 a^12 z^4 + a^14 z^4 - 
  6 a^3 z^5 - 8 a^5 z^5 + 18 a^7 z^5 + 7 a^9 z^5 - 10 a^11 z^5 + 
  3 a^13 z^5 - 3 a^4 z^6 + 8 a^6 z^6 - 3 a^8 z^6 - 9 a^10 z^6 + 
  5 a^12 z^6 + a^3 z^7 - a^5 z^7 - 13 a^7 z^7 - 5 a^9 z^7 + 
  6 a^11 z^7 + a^4 z^8 - 3 a^6 z^8 + a^8 z^8 + 5 a^10 z^8 + a^5 z^9 + 
  4 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 a^2 - a/z - a^3/z + 4 a z + 3 a^3 z - a^5 z + 3 a^7 z + 2 a^9 z - 
  a^11 z - a^2 z^2 - a^4 z^2 + 6 a^6 z^2 + 2 a^8 z^2 - a^10 z^2 + 
  3 a^12 z^2 - 4 a z^3 - 3 a^3 z^3 + a^5 z^3 - 19 a^7 z^3 - 
  12 a^9 z^3 + 7 a^11 z^3 - 2 a^2 z^4 + 2 a^4 z^4 - 11 a^6 z^4 - 
  6 a^8 z^4 + 5 a^10 z^4 - 4 a^12 z^4 + a z^5 - a^3 z^5 + 4 a^5 z^5 + 
  29 a^7 z^5 + 15 a^9 z^5 - 8 a^11 z^5 + a^2 z^6 - 2 a^4 z^6 + 
  12 a^6 z^6 + 7 a^8 z^6 - 7 a^10 z^6 + a^12 z^6 + a^3 z^7 - 
  3 a^5 z^7 - 15 a^7 z^7 - 9 a^9 z^7 + 2 a^11 z^7 + a^4 z^8 - 
  5 a^6 z^8 - 4 a^8 z^8 + 2 a^10 z^8 + a^5 z^9 + 3 a^7 z^9 + 
  2 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 1/a^2 - 1/(a^3 z) - 1/(a z) - (2 z)/a^5 - (5 z)/a^3 - (5 z)/a - 
  2 a z + 2 z^2 - (2 z^2)/a^4 - (2 z^2)/a^2 + 2 a^2 z^2 + (3 z^3)/
  a^7 + (7 z^3)/a^5 + (12 z^3)/a^3 + (16 z^3)/a + 7 a z^3 - a^3 z^3 + 
  2 z^4 - z^4/a^8 + (12 z^4)/a^6 + (29 z^4)/a^4 + (23 z^4)/a^2 - 
  5 a^2 z^4 - (9 z^5)/a^7 - (5 z^5)/a^5 - (16 z^5)/a - 11 a z^5 + 
  a^3 z^5 - 11 z^6 + z^6/a^8 - (22 z^6)/a^6 - (47 z^6)/a^4 - (39 z^6)/
  a^2 + 4 a^2 z^6 + (5 z^7)/a^7 - (12 z^7)/a^5 - (26 z^7)/a^3 - z^7/
  a + 8 a z^7 + 10 z^8 + (10 z^8)/a^6 + (16 z^8)/a^4 + (16 z^8)/
  a^2 + (9 z^9)/a^5 + (17 z^9)/a^3 + (8 z^9)/a + (3 z^10)/a^4 + (
  3 z^10)/a^2, 
 5 a^2 + 5 a^4 - a^8 - (3 a)/z - (5 a^3)/z - (2 a^5)/z - z/a + 
  8 a z + 15 a^3 z + 6 a^5 z - 2 z^2 - 12 a^2 z^2 - 12 a^4 z^2 + 
  2 a^6 z^2 + 3 a^8 z^2 - a^10 z^2 + (4 z^3)/a - 14 a z^3 - 
  38 a^3 z^3 - 13 a^5 z^3 + 4 a^7 z^3 - 3 a^9 z^3 + 12 z^4 + 
  19 a^2 z^4 + 19 a^4 z^4 + 5 a^6 z^4 - 6 a^8 z^4 + a^10 z^4 - (
  4 z^5)/a + 20 a z^5 + 50 a^3 z^5 + 15 a^5 z^5 - 8 a^7 z^5 + 
  3 a^9 z^5 - 12 z^6 - 12 a^2 z^6 - 15 a^4 z^6 - 10 a^6 z^6 + 
  5 a^8 z^6 + z^7/a - 16 a z^7 - 35 a^3 z^7 - 12 a^5 z^7 + 
  6 a^7 z^7 + 3 z^8 - 2 a^2 z^8 + a^4 z^8 + 6 a^6 z^8 + 4 a z^9 + 
  9 a^3 z^9 + 5 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, -1 + 3 a^2 + 
  5 a^4 + 2 a^6 + 1/(a z) - (2 a^3)/z - a^5/z - (3 z)/a + a z + 
  8 a^3 z + 4 a^5 z - 2 z^2 - 14 a^2 z^2 - 21 a^4 z^2 - 7 a^6 z^2 + 
  2 a^8 z^2 - z^3/a^3 + (8 z^3)/a + 7 a z^3 - 18 a^3 z^3 - 
  11 a^5 z^3 + 5 a^7 z^3 + 9 z^4 - (5 z^4)/a^2 + 30 a^2 z^4 + 
  31 a^4 z^4 + 12 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (14 z^5)/a - 
  8 a z^5 + 27 a^3 z^5 + 12 a^5 z^5 - 8 a^7 z^5 - 15 z^6 + (4 z^6)/
  a^2 - 29 a^2 z^6 - 24 a^4 z^6 - 13 a^6 z^6 + a^8 z^6 + (8 z^7)/a - 
  3 a z^7 - 25 a^3 z^7 - 11 a^5 z^7 + 3 a^7 z^7 + 9 z^8 + 
  10 a^2 z^8 + 6 a^4 z^8 + 5 a^6 z^8 + 6 a z^9 + 11 a^3 z^9 + 
  5 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 1/a^2 - 1/(a^3 z) - 1/(a z) - z/a^5 - 3 a z - 2 a^3 z - 10 z^2 - (
  4 z^2)/a^4 - (10 z^2)/a^2 - 2 a^2 z^2 + 2 a^4 z^2 + (3 z^3)/a^5 + 
  z^3/a^3 + (2 z^3)/a + 15 a z^3 + 10 a^3 z^3 - a^5 z^3 + 44 z^4 + (
  13 z^4)/a^4 + (38 z^4)/a^2 + 11 a^2 z^4 - 7 a^4 z^4 + a^6 z^4 - (
  3 z^5)/a^5 + (11 z^5)/a^3 + (20 z^5)/a - 17 a z^5 - 19 a^3 z^5 + 
  4 a^5 z^5 - 57 z^6 - (13 z^6)/a^4 - (37 z^6)/a^2 - 24 a^2 z^6 + 
  9 a^4 z^6 + z^7/a^5 - (17 z^7)/a^3 - (40 z^7)/a - 8 a z^7 + 
  14 a^3 z^7 + 16 z^8 + (4 z^8)/a^4 + (5 z^8)/a^2 + 15 a^2 z^8 + (
  6 z^9)/a^3 + (16 z^9)/a + 10 a z^9 + 3 z^10 + (3 z^10)/a^2, 
 a^6 - a^5/z - a^7/z + 6 a^5 z + 4 a^7 z - a^9 z + a^11 z - 
  3 a^2 z^2 - 8 a^4 z^2 - 9 a^6 z^2 - 2 a^8 z^2 + 2 a^10 z^2 + 
  5 a z^3 - a^3 z^3 - 16 a^5 z^3 - 5 a^7 z^3 + 3 a^9 z^3 - 
  2 a^11 z^3 - 2 z^4 + 14 a^2 z^4 + 28 a^4 z^4 + 22 a^6 z^4 + 
  5 a^8 z^4 - 5 a^10 z^4 - 10 a z^5 + 5 a^3 z^5 + 27 a^5 z^5 + 
  4 a^7 z^5 - 7 a^9 z^5 + a^11 z^5 + z^6 - 19 a^2 z^6 - 30 a^4 z^6 - 
  21 a^6 z^6 - 8 a^8 z^6 + 3 a^10 z^6 + 4 a z^7 - 12 a^3 z^7 - 
  26 a^5 z^7 - 5 a^7 z^7 + 5 a^9 z^7 + 7 a^2 z^8 + 8 a^4 z^8 + 
  7 a^6 z^8 + 6 a^8 z^8 + 6 a^3 z^9 + 11 a^5 z^9 + 5 a^7 z^9 + 
  2 a^4 z^10 + 2 a^6 z^10, 
 a^6 - a^5/z - a^7/z - 2 a^3 z + 3 a^5 z + 3 a^7 z - 2 a^9 z - 
  4 a^4 z^2 - 10 a^6 z^2 - 7 a^8 z^2 + a^12 z^2 + 5 a^3 z^3 - 
  3 a^5 z^3 - 7 a^7 z^3 + 8 a^9 z^3 + 5 a^11 z^3 - 2 a^13 z^3 + 
  12 a^4 z^4 + 28 a^6 z^4 + 31 a^8 z^4 + 7 a^10 z^4 - 7 a^12 z^4 + 
  a^14 z^4 - 4 a^3 z^5 + 9 a^5 z^5 + 22 a^7 z^5 - 9 a^9 z^5 - 
  14 a^11 z^5 + 4 a^13 z^5 - 11 a^4 z^6 - 25 a^6 z^6 - 39 a^8 z^6 - 
  17 a^10 z^6 + 8 a^12 z^6 + a^3 z^7 - 12 a^5 z^7 - 30 a^7 z^7 - 
  6 a^9 z^7 + 11 a^11 z^7 + 3 a^4 z^8 + 3 a^6 z^8 + 11 a^8 z^8 + 
  11 a^10 z^8 + 4 a^5 z^9 + 11 a^7 z^9 + 7 a^9 z^9 + 2 a^6 z^10 + 
  2 a^8 z^10, -1 + 2/a^6 + 5/a^4 + 3/a^2 - 1/(a^5 z) - 2/(a^3 z) + a/
  z - z/a^7 + (2 z)/a^3 - (3 z)/a - 4 a z - 2 z^2 + (3 z^2)/a^8 - (
  4 z^2)/a^6 - (18 z^2)/a^4 - (13 z^2)/a^2 - z^3/a^9 + (8 z^3)/a^7 + (
  8 z^3)/a^5 + (3 z^3)/a^3 + (10 z^3)/a + 6 a z^3 + 10 z^4 + z^4/
  a^10 - (8 z^4)/a^8 + (8 z^4)/a^6 + (42 z^4)/a^4 + (35 z^4)/a^2 + (
  4 z^5)/a^9 - (17 z^5)/a^7 - (15 z^5)/a^5 + (9 z^5)/a^3 - z^5/a - 
  4 a z^5 - 10 z^6 + (9 z^6)/a^8 - (19 z^6)/a^6 - (51 z^6)/a^4 - (
  33 z^6)/a^2 + (13 z^7)/a^7 - (4 z^7)/a^5 - (27 z^7)/a^3 - (9 z^7)/
  a + a z^7 + 3 z^8 + (13 z^8)/a^6 + (16 z^8)/a^4 + (6 z^8)/a^2 + (
  8 z^9)/a^5 + (12 z^9)/a^3 + (4 z^9)/a + (2 z^10)/a^4 + (2 z^10)/a^2,
  5 + 2/a^2 + 3 a^2 - a^4 - 1/(a z) - (2 a)/z + a^5/z - z/a^3 + 
  7 a z - 5 a^5 z + a^7 z - 22 z^2 + z^2/a^4 - (4 z^2)/a^2 - 
  16 a^2 z^2 + 2 a^4 z^2 + a^6 z^2 + (5 z^3)/a^3 + (7 z^3)/a - 
  9 a z^3 + 9 a^5 z^3 - 2 a^7 z^3 + 41 z^4 - (2 z^4)/a^4 + (10 z^4)/
  a^2 + 35 a^2 z^4 + 2 a^4 z^4 - 4 a^6 z^4 - (9 z^5)/a^3 - (7 z^5)/
  a + 14 a z^5 + a^3 z^5 - 10 a^5 z^5 + a^7 z^5 - 40 z^6 + z^6/a^4 - (
  16 z^6)/a^2 - 34 a^2 z^6 - 8 a^4 z^6 + 3 a^6 z^6 + (4 z^7)/a^3 - (
  7 z^7)/a - 22 a z^7 - 5 a^3 z^7 + 6 a^5 z^7 + 12 z^8 + (7 z^8)/
  a^2 + 12 a^2 z^8 + 7 a^4 z^8 + (6 z^9)/a + 12 a z^9 + 6 a^3 z^9 + 
  2 z^10 + 2 a^2 z^10, 
 2/a^10 + 5/a^8 + 3/a^6 - 1/a^4 - 1/(a^9 z) - 2/(a^7 z) + 1/(
  a^3 z) - (2 z)/a^11 + z/a^9 + (7 z)/a^7 - (4 z)/a^3 - z^2/a^14 + (
  3 z^2)/a^12 - (9 z^2)/a^10 - (27 z^2)/a^8 - (15 z^2)/a^6 - z^2/
  a^4 - (2 z^3)/a^13 + (11 z^3)/a^11 + (2 z^3)/a^9 - (11 z^3)/a^7 + (
  6 z^3)/a^5 + (6 z^3)/a^3 + z^4/a^14 - (6 z^4)/a^12 + (19 z^4)/
  a^10 + (50 z^4)/a^8 + (33 z^4)/a^6 + (9 z^4)/a^4 + (3 z^5)/a^13 - (
  14 z^5)/a^11 + (22 z^5)/a^7 + z^5/a^5 - (4 z^5)/a^3 + (6 z^6)/
  a^12 - (20 z^6)/a^10 - (45 z^6)/a^8 - (29 z^6)/a^6 - (10 z^6)/
  a^4 + (9 z^7)/a^11 - (10 z^7)/a^9 - (30 z^7)/a^7 - (10 z^7)/a^5 + 
  z^7/a^3 + (10 z^8)/a^10 + (11 z^8)/a^8 + (4 z^8)/a^6 + (3 z^8)/
  a^4 + (7 z^9)/a^9 + (11 z^9)/a^7 + (4 z^9)/a^5 + (2 z^10)/a^8 + (
  2 z^10)/a^6, -3 a^8 - 3 a^10 - a^12 + (2 a^7)/z + (3 a^9)/z + a^11/
  z + a^5 z - 8 a^7 z - 10 a^9 z - 3 a^11 z - 3 a^13 z - a^15 z + 
  a^6 z^2 + 8 a^8 z^2 + a^10 z^2 - 8 a^12 z^2 - a^14 z^2 + a^16 z^2 - 
  2 a^5 z^3 + 12 a^7 z^3 + 19 a^9 z^3 + 16 a^11 z^3 + 18 a^13 z^3 + 
  7 a^15 z^3 - 4 a^6 z^4 - 5 a^8 z^4 + 17 a^10 z^4 + 27 a^12 z^4 + 
  7 a^14 z^4 - 2 a^16 z^4 + a^5 z^5 - 11 a^7 z^5 - 19 a^9 z^5 - 
  19 a^11 z^5 - 22 a^13 z^5 - 10 a^15 z^5 + 3 a^6 z^6 - 4 a^8 z^6 - 
  29 a^10 z^6 - 36 a^12 z^6 - 13 a^14 z^6 + a^16 z^6 + 6 a^7 z^7 + 
  5 a^9 z^7 - 3 a^11 z^7 + 2 a^13 z^7 + 4 a^15 z^7 + 6 a^8 z^8 + 
  14 a^10 z^8 + 14 a^12 z^8 + 6 a^14 z^8 + 4 a^9 z^9 + 8 a^11 z^9 + 
  4 a^13 z^9 + a^10 z^10 + a^12 z^10, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z + z/a^3 - (4 z)/a - 
  12 a z - 10 a^3 z - 5 a^5 z - 2 a^7 z - 7 z^2 + z^2/a^2 - 
  13 a^2 z^2 - 8 a^4 z^2 - 2 a^6 z^2 + a^8 z^2 - (2 z^3)/a^3 + (
  7 z^3)/a + 23 a z^3 + 22 a^3 z^3 + 14 a^5 z^3 + 6 a^7 z^3 + 
  13 z^4 - (4 z^4)/a^2 + 37 a^2 z^4 + 30 a^4 z^4 + 8 a^6 z^4 - 
  2 a^8 z^4 + z^5/a^3 - (9 z^5)/a - 15 a z^5 - 9 a^3 z^5 - 
  13 a^5 z^5 - 9 a^7 z^5 - 13 z^6 + (3 z^6)/a^2 - 39 a^2 z^6 - 
  39 a^4 z^6 - 15 a^6 z^6 + a^8 z^6 + (6 z^7)/a - a z^7 - 
  16 a^3 z^7 - 5 a^5 z^7 + 4 a^7 z^7 + 8 z^8 + 14 a^2 z^8 + 
  13 a^4 z^8 + 7 a^6 z^8 + 6 a z^9 + 12 a^3 z^9 + 6 a^5 z^9 + 
  2 a^2 z^10 + 2 a^4 z^10, -(1/a^8) - 3/a^6 - 3/a^4 + 1/(a^7 z) + 3/(
  a^5 z) + 2/(a^3 z) - (2 z)/a^11 - (2 z)/a^9 - (3 z)/a^7 - (10 z)/
  a^5 - (7 z)/a^3 - z^2/a^14 + z^2/a^12 - (6 z^2)/a^10 - (9 z^2)/
  a^8 + (2 z^2)/a^6 + (3 z^2)/a^4 - (3 z^3)/a^13 + (10 z^3)/a^11 + (
  10 z^3)/a^9 + (5 z^3)/a^7 + (17 z^3)/a^5 + (9 z^3)/a^3 + z^4/
  a^14 - (5 z^4)/a^12 + (16 z^4)/a^10 + (28 z^4)/a^8 + (11 z^4)/
  a^6 + (5 z^4)/a^4 + (3 z^5)/a^13 - (12 z^5)/a^11 - (8 z^5)/a^9 + (
  3 z^5)/a^7 - (9 z^5)/a^5 - (5 z^5)/a^3 + (5 z^6)/a^12 - (15 z^6)/
  a^10 - (29 z^6)/a^8 - (16 z^6)/a^6 - (7 z^6)/a^4 + (7 z^7)/a^11 - (
  3 z^7)/a^9 - (14 z^7)/a^7 - (3 z^7)/a^5 + z^7/a^3 + (7 z^8)/a^10 + (
  8 z^8)/a^8 + (3 z^8)/a^6 + (2 z^8)/a^4 + (4 z^9)/a^9 + (6 z^9)/
  a^7 + (2 z^9)/a^5 + z^10/a^8 + z^10/a^6, -(1/a^8) - 3/a^6 - 3/a^4 + 
  1/(a^7 z) + 3/(a^5 z) + 2/(a^3 z) - (5 z)/a^7 - (10 z)/a^5 - (5 z)/
  a^3 - (2 z)/a - 2 a z - 6 z^2 - z^2/a^10 + (5 z^2)/a^8 + (7 z^2)/
  a^6 - (4 z^2)/a^4 - (11 z^2)/a^2 - (2 z^3)/a^9 + (11 z^3)/a^7 + (
  21 z^3)/a^5 + (12 z^3)/a^3 + (9 z^3)/a + 5 a z^3 + 15 z^4 + z^4/
  a^10 - (7 z^4)/a^8 - (3 z^4)/a^6 + (24 z^4)/a^4 + (34 z^4)/a^2 + (
  3 z^5)/a^9 - (12 z^5)/a^7 - (22 z^5)/a^5 - (5 z^5)/a^3 - (2 z^5)/
  a - 4 a z^5 - 12 z^6 + (6 z^6)/a^8 - (7 z^6)/a^6 - (33 z^6)/a^4 - (
  32 z^6)/a^2 + (8 z^7)/a^7 + (3 z^7)/a^5 - (13 z^7)/a^3 - (7 z^7)/a +
   a z^7 + 3 z^8 + (7 z^8)/a^6 + (11 z^8)/a^4 + (7 z^8)/a^2 + (4 z^9)/
  a^5 + (7 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + z^10/a^2, -3 a^4 - 
  3 a^6 - a^8 + (2 a^3)/z + (3 a^5)/z + a^7/z - (3 z)/a - 7 a z - 
  10 a^3 z - 9 a^5 z - 3 a^7 z + (2 z^2)/a^2 - 6 a^2 z^2 - 
  4 a^4 z^2 + 3 a^6 z^2 + 3 a^8 z^2 - z^3/a^3 + (8 z^3)/a + 
  28 a z^3 + 33 a^3 z^3 + 20 a^5 z^3 + 6 a^7 z^3 + 2 z^4 - (5 z^4)/
  a^2 + 28 a^2 z^4 + 27 a^4 z^4 + 3 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (
  12 z^5)/a - 35 a z^5 - 35 a^3 z^5 - 20 a^5 z^5 - 7 a^7 z^5 - 
  10 z^6 + (4 z^6)/a^2 - 43 a^2 z^6 - 39 a^4 z^6 - 9 a^6 z^6 + 
  a^8 z^6 + (8 z^7)/a + 10 a z^7 + a^3 z^7 + 2 a^5 z^7 + 3 a^7 z^7 + 
  9 z^8 + 20 a^2 z^8 + 16 a^4 z^8 + 5 a^6 z^8 + 5 a z^9 + 9 a^3 z^9 + 
  4 a^5 z^9 + a^2 z^10 + a^4 z^10, 
 a^2 - a/z - a^3/z + z/a^3 + a z + 3 a^3 z - a^5 z - 2 a^7 z + z^2 + (
  3 z^2)/a^2 - 5 a^2 z^2 - 7 a^4 z^2 - 2 a^6 z^2 + 2 a^8 z^2 - (
  2 z^3)/a^3 - 3 a^3 z^3 + 6 a^5 z^3 + 7 a^7 z^3 - 2 z^4 - (6 z^4)/
  a^2 + 15 a^2 z^4 + 20 a^4 z^4 + 6 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (
  5 z^5)/a - a z^5 + 8 a^3 z^5 - 6 a^5 z^5 - 9 a^7 z^5 - 3 z^6 + (
  3 z^6)/a^2 - 15 a^2 z^6 - 20 a^4 z^6 - 10 a^6 z^6 + a^8 z^6 + (
  4 z^7)/a - a z^7 - 11 a^3 z^7 - 3 a^5 z^7 + 3 a^7 z^7 + 4 z^8 + 
  6 a^2 z^8 + 6 a^4 z^8 + 4 a^6 z^8 + 3 a z^9 + 6 a^3 z^9 + 
  3 a^5 z^9 + a^2 z^10 + a^4 z^10, 
 1/a^2 - 1/(a^3 z) - 1/(a z) - z/a^11 - (2 z)/a^5 + (2 z)/a^3 + (3 z)/
  a + (2 z^2)/a^12 - z^2/a^10 + z^2/a^8 + (5 z^2)/a^6 + z^2/a^4 + (
  7 z^3)/a^11 - (2 z^3)/a^7 + (7 z^3)/a^5 - z^3/a^3 - (3 z^3)/a - (
  3 z^4)/a^12 + (6 z^4)/a^10 + (2 z^4)/a^8 - (6 z^4)/a^6 - (2 z^4)/
  a^4 - (3 z^4)/a^2 - (9 z^5)/a^11 - z^5/a^9 + (4 z^5)/a^7 - (8 z^5)/
  a^5 - (3 z^5)/a^3 + z^5/a + z^6/a^12 - (10 z^6)/a^10 - (9 z^6)/a^8 -
   z^6/a^6 - z^6/a^4 + (2 z^6)/a^2 + (3 z^7)/a^11 - (4 z^7)/a^9 - (
  7 z^7)/a^7 + (3 z^7)/a^5 + (3 z^7)/a^3 + (4 z^8)/a^10 + (4 z^8)/
  a^8 + (3 z^8)/a^6 + (3 z^8)/a^4 + (3 z^9)/a^9 + (5 z^9)/a^7 + (
  2 z^9)/a^5 + z^10/a^8 + z^10/a^6, 
 1/a^2 + 1/(a^5 z) + 2/(a^3 z) + 2/(a z) + a/z - (2 z)/a^7 - (7 z)/
  a^5 - (13 z)/a^3 - (13 z)/a - 5 a z - 2 z^2 + z^2/a^8 - z^2/a^6 - (
  5 z^2)/a^4 - (6 z^2)/a^2 + a^2 z^2 + (7 z^3)/a^7 + (19 z^3)/a^5 + (
  32 z^3)/a^3 + (32 z^3)/a + 11 a z^3 - a^3 z^3 + 8 z^4 - (2 z^4)/
  a^8 + (8 z^4)/a^6 + (26 z^4)/a^4 + (28 z^4)/a^2 - 4 a^2 z^4 - (
  9 z^5)/a^7 - (18 z^5)/a^5 - (27 z^5)/a^3 - (33 z^5)/a - 14 a z^5 + 
  a^3 z^5 - 15 z^6 + z^6/a^8 - (14 z^6)/a^6 - (41 z^6)/a^4 - (45 z^6)/
  a^2 + 4 a^2 z^6 + (4 z^7)/a^7 - (2 z^7)/a^5 - (9 z^7)/a^3 + (6 z^7)/
  a + 9 a z^7 + 11 z^8 + (7 z^8)/a^6 + (16 z^8)/a^4 + (20 z^8)/a^2 + (
  6 z^9)/a^5 + (13 z^9)/a^3 + (7 z^9)/a + (2 z^10)/a^4 + (2 z^10)/
  a^2, -(1/a^8) + 5/a^4 + 5/a^2 - 2/(a^5 z) - 5/(a^3 z) - 3/(a z) + (
  9 z)/a^5 + (20 z)/a^3 + (9 z)/a - 2 a z - 2 z^2 - z^2/a^10 + (
  5 z^2)/a^8 - (18 z^2)/a^4 - (14 z^2)/a^2 - (2 z^3)/a^9 + (7 z^3)/
  a^7 - (15 z^3)/a^5 - (37 z^3)/a^3 - (8 z^3)/a + 5 a z^3 + 11 z^4 + 
  z^4/a^10 - (7 z^4)/a^8 + (6 z^4)/a^6 + (27 z^4)/a^4 + (24 z^4)/
  a^2 + (3 z^5)/a^9 - (11 z^5)/a^7 + (10 z^5)/a^5 + (40 z^5)/a^3 + (
  12 z^5)/a - 4 a z^5 - 11 z^6 + (6 z^6)/a^8 - (12 z^6)/a^6 - (
  26 z^6)/a^4 - (19 z^6)/a^2 + (8 z^7)/a^7 - (10 z^7)/a^5 - (32 z^7)/
  a^3 - (13 z^7)/a + a z^7 + 3 z^8 + (8 z^8)/a^6 + (6 z^8)/a^4 + z^8/
  a^2 + (6 z^9)/a^5 + (10 z^9)/a^3 + (4 z^9)/a + (2 z^10)/a^4 + (
  2 z^10)/a^2, -1 + 2/a^6 + 5/a^4 + 3/a^2 - 1/(a^5 z) - 2/(a^3 z) + a/
  z + (4 z)/a^5 + (5 z)/a^3 - (4 z)/a - 4 a z + a^3 z - z^2 + (2 z^2)/
  a^8 - (9 z^2)/a^6 - (22 z^2)/a^4 - (13 z^2)/a^2 + a^2 z^2 + (4 z^3)/
  a^7 - (12 z^3)/a^5 - (14 z^3)/a^3 + (8 z^3)/a + 4 a z^3 - 
  2 a^3 z^3 + 6 z^4 - (3 z^4)/a^8 + (13 z^4)/a^6 + (35 z^4)/a^4 + (
  30 z^4)/a^2 - 5 a^2 z^4 - (8 z^5)/a^7 + (14 z^5)/a^5 + (32 z^5)/
  a^3 + z^5/a - 8 a z^5 + a^3 z^5 - 10 z^6 + z^6/a^8 - (14 z^6)/
  a^6 - (24 z^6)/a^4 - (22 z^6)/a^2 + 3 a^2 z^6 + (3 z^7)/a^7 - (
  13 z^7)/a^5 - (28 z^7)/a^3 - (7 z^7)/a + 5 a z^7 + 6 z^8 + (5 z^8)/
  a^6 + (4 z^8)/a^4 + (5 z^8)/a^2 + (5 z^9)/a^5 + (10 z^9)/a^3 + (
  5 z^9)/a + (2 z^10)/a^4 + (2 z^10)/a^2, -a^8 + 3 a^10 + 5 a^12 + 
  2 a^14 + a^7/z - (2 a^11)/z - a^13/z - 7 a^7 z + 9 a^11 z + a^13 z -
   a^15 z + a^8 z^2 - 17 a^10 z^2 - 25 a^12 z^2 - 6 a^14 z^2 + 
  a^16 z^2 - a^5 z^3 + 14 a^7 z^3 + 6 a^9 z^3 - 10 a^11 z^3 + 
  4 a^13 z^3 + 5 a^15 z^3 - 3 a^6 z^4 + 9 a^8 z^4 + 46 a^10 z^4 + 
  49 a^12 z^4 + 13 a^14 z^4 - 2 a^16 z^4 + a^5 z^5 - 16 a^7 z^5 - 
  9 a^9 z^5 + 13 a^11 z^5 - 3 a^13 z^5 - 8 a^15 z^5 + 4 a^6 z^6 - 
  19 a^8 z^6 - 56 a^10 z^6 - 51 a^12 z^6 - 17 a^14 z^6 + a^16 z^6 + 
  10 a^7 z^7 - 6 a^9 z^7 - 30 a^11 z^7 - 10 a^13 z^7 + 4 a^15 z^7 + 
  13 a^8 z^8 + 21 a^10 z^8 + 16 a^12 z^8 + 8 a^14 z^8 + 10 a^9 z^9 + 
  18 a^11 z^9 + 8 a^13 z^9 + 3 a^10 z^10 + 3 a^12 z^10, 
 a^6 + a^3/z + (2 a^5)/z + (2 a^7)/z + a^9/z + a z - 5 a^3 z - 
  12 a^5 z - 12 a^7 z - 5 a^9 z + a^11 z - a^2 z^2 - 8 a^4 z^2 - 
  12 a^6 z^2 - 4 a^8 z^2 + a^10 z^2 + 4 a z^3 + 14 a^3 z^3 + 
  26 a^5 z^3 + 26 a^7 z^3 + 8 a^9 z^3 - 2 a^11 z^3 - z^4 + 
  11 a^2 z^4 + 34 a^4 z^4 + 37 a^6 z^4 + 11 a^8 z^4 - 4 a^10 z^4 - 
  10 a z^5 - 16 a^3 z^5 - 15 a^5 z^5 - 19 a^7 z^5 - 9 a^9 z^5 + 
  a^11 z^5 + z^6 - 20 a^2 z^6 - 48 a^4 z^6 - 42 a^6 z^6 - 
  12 a^8 z^6 + 3 a^10 z^6 + 5 a z^7 - 5 a^3 z^7 - 15 a^5 z^7 + 
  a^7 z^7 + 6 a^9 z^7 + 9 a^2 z^8 + 17 a^4 z^8 + 16 a^6 z^8 + 
  8 a^8 z^8 + 7 a^3 z^9 + 13 a^5 z^9 + 6 a^7 z^9 + 2 a^4 z^10 + 
  2 a^6 z^10, -3 - 1/a^4 - 3/a^2 + 1/(a^3 z) + 3/(a z) + (2 a)/z + z/
  a^5 - (5 z)/a^3 - (14 z)/a - 7 a z + a^3 z + 4 z^2 + z^2/a^8 - (
  2 z^2)/a^6 + (2 z^2)/a^4 + (8 z^2)/a^2 + a^2 z^2 + (5 z^3)/a^7 - 
  z^3/a^5 + (9 z^3)/a^3 + (27 z^3)/a + 10 a z^3 - 2 a^3 z^3 + 
  2 z^4 - (2 z^4)/a^8 + (10 z^4)/a^6 + (11 z^4)/a^4 + (5 z^4)/a^2 - 
  4 a^2 z^4 - (9 z^5)/a^7 - z^5/a^5 - (2 z^5)/a^3 - (21 z^5)/a - 
  10 a z^5 + a^3 z^5 - 8 z^6 + z^6/a^8 - (16 z^6)/a^6 - (26 z^6)/
  a^4 - (20 z^6)/a^2 + 3 a^2 z^6 + (4 z^7)/a^7 - (8 z^7)/a^5 - (
  15 z^7)/a^3 + (3 z^7)/a + 6 a z^7 + 7 z^8 + (7 z^8)/a^6 + (10 z^8)/
  a^4 + (10 z^8)/a^2 + (6 z^9)/a^5 + (11 z^9)/a^3 + (5 z^9)/a + (
  2 z^10)/a^4 + (2 z^10)/a^2, 
 5 - 1/a^4 + 5 a^2 - 2/(a z) - (5 a)/z - (3 a^3)/z + (9 z)/a + 
  25 a z + 12 a^3 z - 3 a^5 z + a^7 z - 20 z^2 + (3 z^2)/a^4 - 
  18 a^2 z^2 + a^6 z^2 + (4 z^3)/a^3 - (10 z^3)/a - 41 a z^3 - 
  17 a^3 z^3 + 8 a^5 z^3 - 2 a^7 z^3 + 27 z^4 - (3 z^4)/a^4 + (4 z^4)/
  a^2 + 28 a^2 z^4 + 4 a^4 z^4 - 4 a^6 z^4 - (7 z^5)/a^3 + (5 z^5)/
  a + 35 a z^5 + 12 a^3 z^5 - 10 a^5 z^5 + a^7 z^5 - 24 z^6 + z^6/
  a^4 - (10 z^6)/a^2 - 25 a^2 z^6 - 9 a^4 z^6 + 3 a^6 z^6 + (3 z^7)/
  a^3 - (8 z^7)/a - 25 a z^7 - 8 a^3 z^7 + 6 a^5 z^7 + 7 z^8 + (
  5 z^8)/a^2 + 9 a^2 z^8 + 7 a^4 z^8 + (5 z^9)/a + 11 a z^9 + 
  6 a^3 z^9 + 2 z^10 + 2 a^2 z^10, -1 - 3 a^2 - 3 a^4 + a/z + (3 a^3)/
  z + (2 a^5)/z - 3 a z - 10 a^3 z - 4 a^5 z + a^7 z - a^9 z + 
  a^11 z + 3 z^2 + 8 a^2 z^2 + 2 a^4 z^2 - 9 a^6 z^2 - 4 a^8 z^2 + 
  2 a^10 z^2 + 7 a z^3 + 18 a^3 z^3 + 10 a^5 z^3 + 4 a^7 z^3 + 
  3 a^9 z^3 - 2 a^11 z^3 - 3 z^4 - 4 a^2 z^4 + 10 a^4 z^4 + 
  24 a^6 z^4 + 8 a^8 z^4 - 5 a^10 z^4 - 8 a z^5 - 18 a^3 z^5 - 
  8 a^5 z^5 - 6 a^7 z^5 - 7 a^9 z^5 + a^11 z^5 + z^6 - 6 a^2 z^6 - 
  21 a^4 z^6 - 26 a^6 z^6 - 9 a^8 z^6 + 3 a^10 z^6 + 3 a z^7 + 
  2 a^3 z^7 - 6 a^5 z^7 + 5 a^9 z^7 + 4 a^2 z^8 + 9 a^4 z^8 + 
  11 a^6 z^8 + 6 a^8 z^8 + 3 a^3 z^9 + 7 a^5 z^9 + 4 a^7 z^9 + 
  a^4 z^10 + a^6 z^10, -3 a^8 - 3 a^10 - a^12 + (2 a^7)/z + (3 a^9)/
  z + a^11/z - 2 a^3 z - 7 a^7 z - 12 a^9 z - 3 a^11 z - 5 a^4 z^2 - 
  8 a^6 z^2 + 3 a^8 z^2 + 9 a^10 z^2 + 3 a^12 z^2 - a z^3 + 
  6 a^3 z^3 + 5 a^5 z^3 + 6 a^7 z^3 + 15 a^9 z^3 + 7 a^11 z^3 - 
  5 a^2 z^4 + 15 a^4 z^4 + 31 a^6 z^4 + 8 a^8 z^4 - 6 a^10 z^4 - 
  3 a^12 z^4 + a z^5 - 13 a^3 z^5 - 2 a^5 z^5 + 9 a^7 z^5 - 
  11 a^9 z^5 - 8 a^11 z^5 + 4 a^2 z^6 - 19 a^4 z^6 - 34 a^6 z^6 - 
  17 a^8 z^6 - 5 a^10 z^6 + a^12 z^6 + 8 a^3 z^7 - 7 a^5 z^7 - 
  20 a^7 z^7 - 2 a^9 z^7 + 3 a^11 z^7 + 10 a^4 z^8 + 12 a^6 z^8 + 
  6 a^8 z^8 + 4 a^10 z^8 + 7 a^5 z^9 + 11 a^7 z^9 + 4 a^9 z^9 + 
  2 a^6 z^10 + 2 a^8 z^10, 
 1/a^2 + 1/(a^5 z) + 2/(a^3 z) + 2/(a z) + a/z - (4 z)/a^5 - (12 z)/
  a^3 - (12 z)/a - 4 a z - 7 z^2 + z^2/a^6 - (3 z^2)/a^4 - (10 z^2)/
  a^2 - a^2 z^2 - z^3/a^7 + (10 z^3)/a^5 + (27 z^3)/a^3 + (25 z^3)/
  a + 13 a z^3 + 4 a^3 z^3 + 36 z^4 - (4 z^4)/a^6 + (11 z^4)/a^4 + (
  38 z^4)/a^2 + 12 a^2 z^4 - a^4 z^4 + z^5/a^7 - (13 z^5)/a^5 - (
  24 z^5)/a^3 - (13 z^5)/a - 12 a z^5 - 9 a^3 z^5 - 54 z^6 + (4 z^6)/
  a^6 - (17 z^6)/a^4 - (53 z^6)/a^2 - 21 a^2 z^6 + a^4 z^6 + (9 z^7)/
  a^5 - (23 z^7)/a - 9 a z^7 + 5 a^3 z^7 + 19 z^8 + (12 z^8)/a^4 + (
  21 z^8)/a^2 + 10 a^2 z^8 + (9 z^9)/a^3 + (18 z^9)/a + 9 a z^9 + 
  3 z^10 + (3 z^10)/a^2, 
 2/a^10 + 5/a^8 + 3/a^6 - 1/a^4 - 1/(a^9 z) - 2/(a^7 z) + 1/(
  a^3 z) + (2 z)/a^9 + (2 z)/a^7 - (5 z)/a^5 - (5 z)/a^3 + z^2/
  a^12 - (7 z^2)/a^10 - (19 z^2)/a^8 - (14 z^2)/a^6 - (3 z^2)/a^4 + (
  4 z^3)/a^11 - (4 z^3)/a^9 - z^3/a^7 + (18 z^3)/a^5 + (10 z^3)/a^3 - 
  z^3/a - (2 z^4)/a^12 + (14 z^4)/a^10 + (39 z^4)/a^8 + (41 z^4)/
  a^6 + (14 z^4)/a^4 - (4 z^4)/a^2 - (8 z^5)/a^11 + (5 z^5)/a^9 + (
  14 z^5)/a^7 - (14 z^5)/a^5 - (14 z^5)/a^3 + z^5/a + z^6/a^12 - (
  18 z^6)/a^10 - (43 z^6)/a^8 - (48 z^6)/a^6 - (20 z^6)/a^4 + (4 z^6)/
  a^2 + (4 z^7)/a^11 - (13 z^7)/a^9 - (31 z^7)/a^7 - (5 z^7)/a^5 + (
  9 z^7)/a^3 + (8 z^8)/a^10 + (13 z^8)/a^8 + (17 z^8)/a^6 + (12 z^8)/
  a^4 + (8 z^9)/a^9 + (17 z^9)/a^7 + (9 z^9)/a^5 + (3 z^10)/a^8 + (
  3 z^10)/a^6, -(1/a^8) - 3/a^6 - 3/a^4 + 1/(a^7 z) + 3/(a^5 z) + 2/(
  a^3 z) - (5 z)/a^7 - (13 z)/a^5 - (10 z)/a^3 - (3 z)/a - a z - 
  3 z^2 - z^2/a^10 + (4 z^2)/a^8 + (7 z^2)/a^6 - (2 z^2)/a^4 - (
  7 z^2)/a^2 - (2 z^3)/a^9 + (13 z^3)/a^7 + (27 z^3)/a^5 + (15 z^3)/
  a^3 + (6 z^3)/a + 3 a z^3 + 14 z^4 + z^4/a^10 - (6 z^4)/a^8 + z^4/
  a^6 + (26 z^4)/a^4 + (32 z^4)/a^2 + (3 z^5)/a^9 - (14 z^5)/a^7 - (
  23 z^5)/a^5 + (3 z^5)/a^3 + (6 z^5)/a - 3 a z^5 - 14 z^6 + (6 z^6)/
  a^8 - (12 z^6)/a^6 - (38 z^6)/a^4 - (34 z^6)/a^2 + (9 z^7)/a^7 - 
  z^7/a^5 - (25 z^7)/a^3 - (14 z^7)/a + a z^7 + 4 z^8 + (9 z^8)/
  a^6 + (11 z^8)/a^4 + (6 z^8)/a^2 + (6 z^9)/a^5 + (11 z^9)/a^3 + (
  5 z^9)/a + (2 z^10)/a^4 + (2 z^10)/a^2, 
 5 a^10 + 5 a^12 - a^16 - (3 a^9)/z - (5 a^11)/z - (2 a^13)/z - 
  4 a^7 z + 11 a^9 z + 22 a^11 z + 7 a^13 z - 3 a^8 z^2 - 
  21 a^10 z^2 - 17 a^12 z^2 + 4 a^14 z^2 + 3 a^16 z^2 - 2 a^5 z^3 + 
  12 a^7 z^3 - 18 a^9 z^3 - 47 a^11 z^3 - 10 a^13 z^3 + 5 a^15 z^3 - 
  5 a^6 z^4 + 15 a^8 z^4 + 36 a^10 z^4 + 17 a^12 z^4 - 2 a^14 z^4 - 
  3 a^16 z^4 + a^5 z^5 - 14 a^7 z^5 + 23 a^9 z^5 + 51 a^11 z^5 + 
  5 a^13 z^5 - 8 a^15 z^5 + 3 a^6 z^6 - 16 a^8 z^6 - 23 a^10 z^6 - 
  12 a^12 z^6 - 7 a^14 z^6 + a^16 z^6 + 6 a^7 z^7 - 15 a^9 z^7 - 
  31 a^11 z^7 - 7 a^13 z^7 + 3 a^15 z^7 + 7 a^8 z^8 + 5 a^10 z^8 + 
  2 a^12 z^8 + 4 a^14 z^8 + 6 a^9 z^9 + 10 a^11 z^9 + 4 a^13 z^9 + 
  2 a^10 z^10 + 2 a^12 z^10, -a^8 + 3 a^10 + 5 a^12 + 2 a^14 + a^7/
  z - (2 a^11)/z - a^13/z + a^5 z - 6 a^7 z - 2 a^9 z + 7 a^11 z + 
  2 a^13 z + a^6 z^2 - 2 a^8 z^2 - 25 a^10 z^2 - 29 a^12 z^2 - 
  7 a^14 z^2 + a^3 z^3 - 4 a^5 z^3 + 17 a^7 z^3 + 14 a^9 z^3 - 
  21 a^11 z^3 - 13 a^13 z^3 + 3 a^4 z^4 - 11 a^6 z^4 + 15 a^8 z^4 + 
  64 a^10 z^4 + 44 a^12 z^4 + 9 a^14 z^4 + 6 a^5 z^5 - 27 a^7 z^5 - 
  6 a^9 z^5 + 51 a^11 z^5 + 24 a^13 z^5 + 9 a^6 z^6 - 28 a^8 z^6 - 
  50 a^10 z^6 - 18 a^12 z^6 - 5 a^14 z^6 + 12 a^7 z^7 - 15 a^9 z^7 - 
  42 a^11 z^7 - 15 a^13 z^7 + 11 a^8 z^8 + 7 a^10 z^8 - 3 a^12 z^8 + 
  a^14 z^8 + 7 a^9 z^9 + 10 a^11 z^9 + 3 a^13 z^9 + 2 a^10 z^10 + 
  2 a^12 z^10, -3 - 3 a^2 - a^4 + 2/(a z) + (3 a)/z + a^3/z - (2 z)/
  a^3 - (9 z)/a - 10 a z - 3 a^3 z - (2 z^2)/a^2 + 5 a^2 z^2 + 
  3 a^4 z^2 + (5 z^3)/a^5 + (16 z^3)/a^3 + (21 z^3)/a + 16 a z^3 + 
  6 a^3 z^3 + 21 z^4 - (4 z^4)/a^6 + (4 z^4)/a^4 + (25 z^4)/a^2 + 
  a^2 z^4 - 3 a^4 z^4 + z^5/a^7 - (15 z^5)/a^5 - (27 z^5)/a^3 - (
  16 z^5)/a - 12 a z^5 - 7 a^3 z^5 - 33 z^6 + (5 z^6)/a^6 - (17 z^6)/
  a^4 - (46 z^6)/a^2 - 8 a^2 z^6 + a^4 z^6 + (11 z^7)/a^5 + (4 z^7)/
  a^3 - (12 z^7)/a - 2 a z^7 + 3 a^3 z^7 + 13 z^8 + (13 z^8)/a^4 + (
  21 z^8)/a^2 + 5 a^2 z^8 + (8 z^9)/a^3 + (13 z^9)/a + 5 a z^9 + 
  2 z^10 + (2 z^10)/a^2, 
 1/a^2 + 1/(a^5 z) + 2/(a^3 z) + 2/(a z) + a/z - (3 z)/a^7 - (9 z)/
  a^5 - (13 z)/a^3 - (11 z)/a - 4 a z - 4 z^2 + (2 z^2)/a^8 - z^2/
  a^6 - (8 z^2)/a^4 - (9 z^2)/a^2 - z^3/a^9 + (12 z^3)/a^7 + (29 z^3)/
  a^5 + (28 z^3)/a^3 + (18 z^3)/a + 6 a z^3 + 11 z^4 + z^4/a^10 - (
  7 z^4)/a^8 + (8 z^4)/a^6 + (39 z^4)/a^4 + (34 z^4)/a^2 + (4 z^5)/
  a^9 - (20 z^5)/a^7 - (33 z^5)/a^5 - (10 z^5)/a^3 - (5 z^5)/a - 
  4 a z^5 - 10 z^6 + (9 z^6)/a^8 - (21 z^6)/a^6 - (55 z^6)/a^4 - (
  35 z^6)/a^2 + (14 z^7)/a^7 + z^7/a^5 - (22 z^7)/a^3 - (8 z^7)/a + 
  a z^7 + 3 z^8 + (14 z^8)/a^6 + (18 z^8)/a^4 + (7 z^8)/a^2 + (8 z^9)/
  a^5 + (12 z^9)/a^3 + (4 z^9)/a + (2 z^10)/a^4 + (2 z^10)/a^2, 
 a^6 + a^3/z + (2 a^5)/z + (2 a^7)/z + a^9/z + a z - 5 a^3 z - 
  9 a^5 z - 7 a^7 z - 4 a^9 z - 5 a^2 z^2 - 17 a^4 z^2 - 15 a^6 z^2 - 
  3 a^8 z^2 - (2 z^3)/a + 6 a z^3 + 17 a^3 z^3 + 15 a^5 z^3 + 
  12 a^7 z^3 + 6 a^9 z^3 - 6 z^4 + z^4/a^2 + 17 a^2 z^4 + 
  53 a^4 z^4 + 39 a^6 z^4 + 10 a^8 z^4 + (4 z^5)/a - 16 a z^5 - 
  16 a^3 z^5 + 6 a^5 z^5 - 2 a^7 z^5 - 4 a^9 z^5 + 8 z^6 - 
  24 a^2 z^6 - 57 a^4 z^6 - 35 a^6 z^6 - 10 a^8 z^6 + 12 a z^7 - 
  6 a^3 z^7 - 28 a^5 z^7 - 9 a^7 z^7 + a^9 z^7 + 13 a^2 z^8 + 
  16 a^4 z^8 + 6 a^6 z^8 + 3 a^8 z^8 + 8 a^3 z^9 + 12 a^5 z^9 + 
  4 a^7 z^9 + 2 a^4 z^10 + 2 a^6 z^10, -1 - 3 a^2 - 3 a^4 + a/z + (
  3 a^3)/z + (2 a^5)/z - z/a^3 - (3 z)/a - 5 a^3 z - 7 a^5 z - 
  13 z^2 + (2 z^2)/a^4 + z^2/a^2 - 8 a^2 z^2 + 4 a^4 z^2 - (2 z^3)/
  a^5 + (6 z^3)/a^3 + (23 z^3)/a + 9 a z^3 + 3 a^3 z^3 + 9 a^5 z^3 + 
  41 z^4 + z^4/a^6 - (7 z^4)/a^4 + z^4/a^2 + 35 a^2 z^4 + 
  3 a^4 z^4 + (4 z^5)/a^5 - (14 z^5)/a^3 - (32 z^5)/a - 5 a z^5 + 
  4 a^3 z^5 - 5 a^5 z^5 - 48 z^6 + (8 z^6)/a^4 - (12 z^6)/a^2 - 
  34 a^2 z^6 - 6 a^4 z^6 + (11 z^7)/a^3 + (6 z^7)/a - 14 a z^7 - 
  8 a^3 z^7 + a^5 z^7 + 16 z^8 + (10 z^8)/a^2 + 8 a^2 z^8 + 
  2 a^4 z^8 + (5 z^9)/a + 8 a z^9 + 3 a^3 z^9 + z^10 + a^2 z^10, 
 a^6 - a^5/z - a^7/z - z/a + 3 a z + 3 a^3 z + 2 a^5 z + 3 a^7 z - 
  17 z^2 - (4 z^2)/a^2 - 10 a^2 z^2 + 3 a^4 z^2 + (6 z^3)/a^3 + (
  12 z^3)/a - 5 a z^3 - 9 a^3 z^3 - a^5 z^3 - 3 a^7 z^3 + 41 z^4 - (
  2 z^4)/a^4 + (13 z^4)/a^2 + 24 a^2 z^4 - 5 a^4 z^4 - 3 a^6 z^4 - (
  11 z^5)/a^3 - (11 z^5)/a + 11 a z^5 + 7 a^3 z^5 - 3 a^5 z^5 + 
  a^7 z^5 - 36 z^6 + z^6/a^4 - (17 z^6)/a^2 - 20 a^2 z^6 + 
  2 a^6 z^6 + (4 z^7)/a^3 - (4 z^7)/a - 14 a z^7 - 3 a^3 z^7 + 
  3 a^5 z^7 + 10 z^8 + (6 z^8)/a^2 + 7 a^2 z^8 + 3 a^4 z^8 + (4 z^9)/
  a + 7 a z^9 + 3 a^3 z^9 + z^10 + a^2 z^10, 
 1/a^2 - 1/(a^3 z) - 1/(a z) - z/a^11 - (3 z)/a^9 - (5 z)/a^7 - (3 z)/
  a^5 + (3 z)/a^3 + (3 z)/a + z^2/a^12 - z^2/a^10 - (5 z^2)/a^8 - (
  7 z^2)/a^6 - (4 z^2)/a^4 + (6 z^3)/a^11 + (13 z^3)/a^9 + (16 z^3)/
  a^7 + (9 z^3)/a^5 - (3 z^3)/a^3 - (3 z^3)/a - (2 z^4)/a^12 + (
  7 z^4)/a^10 + (23 z^4)/a^8 + (23 z^4)/a^6 + (6 z^4)/a^4 - (3 z^4)/
  a^2 - (10 z^5)/a^11 - (16 z^5)/a^9 - (10 z^5)/a^7 - (7 z^5)/a^5 - (
  2 z^5)/a^3 + z^5/a + z^6/a^12 - (14 z^6)/a^10 - (31 z^6)/a^8 - (
  23 z^6)/a^6 - (5 z^6)/a^4 + (2 z^6)/a^2 + (4 z^7)/a^11 - z^7/a^9 - (
  7 z^7)/a^7 + z^7/a^5 + (3 z^7)/a^3 + (6 z^8)/a^10 + (11 z^8)/a^8 + (
  9 z^8)/a^6 + (4 z^8)/a^4 + (4 z^9)/a^9 + (7 z^9)/a^7 + (3 z^9)/a^5 +
   z^10/a^8 + z^10/a^6, -3 - 3 a^2 - a^4 + 2/(a z) + (3 a)/z + a^3/
  z - (2 z)/a^3 - (6 z)/a - 5 a z - 2 a^3 z - a^5 z - 2 z^2 + z^2/
  a^4 - 3 a^2 z^2 + 2 a^6 z^2 + (7 z^3)/a^3 + (15 z^3)/a + 12 a z^3 + 
  11 a^3 z^3 + 6 a^5 z^3 - a^7 z^3 + 24 z^4 - (2 z^4)/a^4 + (7 z^4)/
  a^2 + 26 a^2 z^4 + 6 a^4 z^4 - 5 a^6 z^4 - (9 z^5)/a^3 - (15 z^5)/
  a - 10 a z^5 - 16 a^3 z^5 - 11 a^5 z^5 + a^7 z^5 - 39 z^6 + z^6/
  a^4 - (14 z^6)/a^2 - 41 a^2 z^6 - 13 a^4 z^6 + 4 a^6 z^6 + (4 z^7)/
  a^3 - (3 z^7)/a - 14 a z^7 + a^3 z^7 + 8 a^5 z^7 + 15 z^8 + (7 z^8)/
  a^2 + 18 a^2 z^8 + 10 a^4 z^8 + (6 z^9)/a + 13 a z^9 + 7 a^3 z^9 + 
  2 z^10 + 2 a^2 z^10, -1 - 3 a^2 - 3 a^4 + a/z + (3 a^3)/z + (2 a^5)/
  z - z/a - 7 a^3 z - 8 a^5 z - 14 z^2 - (2 z^2)/a^2 - 9 a^2 z^2 + 
  3 a^4 z^2 + (4 z^3)/a^3 + (13 z^3)/a + 9 a z^3 + 16 a^3 z^3 + 
  15 a^5 z^3 - a^7 z^3 + 49 z^4 - z^4/a^4 + (13 z^4)/a^2 + 
  46 a^2 z^4 + 8 a^4 z^4 - 3 a^6 z^4 - (9 z^5)/a^3 - (14 z^5)/a - 
  5 a z^5 - 17 a^3 z^5 - 16 a^5 z^5 + a^7 z^5 - 62 z^6 + z^6/a^4 - (
  21 z^6)/a^2 - 62 a^2 z^6 - 18 a^4 z^6 + 4 a^6 z^6 + (5 z^7)/a^3 - (
  8 z^7)/a - 26 a z^7 - 3 a^3 z^7 + 10 a^5 z^7 + 21 z^8 + (10 z^8)/
  a^2 + 24 a^2 z^8 + 13 a^4 z^8 + (9 z^9)/a + 19 a z^9 + 10 a^3 z^9 + 
  3 z^10 + 3 a^2 z^10, 
 a^6 - a^5/z - a^7/z - 3 a^3 z + a^5 z + 3 a^7 z + a^11 z - 
  6 a^4 z^2 - 13 a^6 z^2 - 8 a^8 z^2 - a^10 z^2 - a z^3 + 8 a^3 z^3 + 
  5 a^5 z^3 - 8 a^7 z^3 - a^9 z^3 + 3 a^11 z^3 - 4 a^2 z^4 + 
  19 a^4 z^4 + 44 a^6 z^4 + 33 a^8 z^4 + 11 a^10 z^4 - a^12 z^4 + 
  a z^5 - 13 a^3 z^5 + a^5 z^5 + 27 a^7 z^5 + 3 a^9 z^5 - 
  9 a^11 z^5 + 4 a^2 z^6 - 23 a^4 z^6 - 50 a^6 z^6 - 45 a^8 z^6 - 
  21 a^10 z^6 + a^12 z^6 + 9 a^3 z^7 - 13 a^5 z^7 - 43 a^7 z^7 - 
  16 a^9 z^7 + 5 a^11 z^7 + 13 a^4 z^8 + 16 a^6 z^8 + 13 a^8 z^8 + 
  10 a^10 z^8 + 11 a^5 z^9 + 21 a^7 z^9 + 10 a^9 z^9 + 4 a^6 z^10 + 
  4 a^8 z^10, -a^4 + a^3/z + a^5/z + z/a + 2 a z - 3 a^3 z - 
  4 a^5 z - 4 a^2 z^2 - 7 a^4 z^2 - 3 a^6 z^2 + (4 z^3)/a + 3 a z^3 - 
  a^3 z^3 + 6 a^5 z^3 + 6 a^7 z^3 + 3 z^4 - (4 z^4)/a^2 + 
  21 a^2 z^4 + 29 a^4 z^4 + 13 a^6 z^4 - 2 a^8 z^4 + z^5/a^3 - (
  15 z^5)/a - 12 a z^5 + 17 a^3 z^5 + 3 a^5 z^5 - 10 a^7 z^5 - 
  17 z^6 + (5 z^6)/a^2 - 36 a^2 z^6 - 32 a^4 z^6 - 17 a^6 z^6 + 
  a^8 z^6 + (11 z^7)/a - 3 a z^7 - 30 a^3 z^7 - 12 a^5 z^7 + 
  4 a^7 z^7 + 13 z^8 + 15 a^2 z^8 + 9 a^4 z^8 + 7 a^6 z^8 + 9 a z^9 + 
  16 a^3 z^9 + 7 a^5 z^9 + 3 a^2 z^10 + 3 a^4 z^10, -1 + 1/(a z) + a/
  z - (2 z)/a^5 - (8 z)/a^3 - (12 z)/a - 8 a z - 2 a^3 z - 4 z^2 + (
  2 z^2)/a^6 + (3 z^2)/a^4 - (2 z^2)/a^2 + a^4 z^2 - z^3/a^7 + (
  6 z^3)/a^5 + (25 z^3)/a^3 + (35 z^3)/a + 24 a z^3 + 7 a^3 z^3 + 
  25 z^4 - (6 z^4)/a^6 - (3 z^4)/a^4 + (20 z^4)/a^2 + 6 a^2 z^4 - 
  2 a^4 z^4 + z^5/a^7 - (11 z^5)/a^5 - (28 z^5)/a^3 - (30 z^5)/a - 
  24 a z^5 - 10 a^3 z^5 - 36 z^6 + (4 z^6)/a^6 - (6 z^6)/a^4 - (
  32 z^6)/a^2 - 13 a^2 z^6 + a^4 z^6 + (7 z^7)/a^5 + (8 z^7)/a^3 - 
  z^7/a + 2 a z^7 + 4 a^3 z^7 + 14 z^8 + (7 z^8)/a^4 + (15 z^8)/a^2 + 
  6 a^2 z^8 + (4 z^9)/a^3 + (8 z^9)/a + 4 a z^9 + z^10 + z^10/
  a^2, -1 + 1/(a z) + a/z - (6 z)/a^3 - (14 z)/a - 10 a z - 2 a^3 z - 
  4 z^2 + (3 z^2)/a^4 + a^4 z^2 + (6 z^3)/a^5 + (30 z^3)/a^3 + (
  46 z^3)/a + 30 a z^3 + 8 a^3 z^3 + 26 z^4 - (5 z^4)/a^6 - (4 z^4)/
  a^4 + (19 z^4)/a^2 + 6 a^2 z^4 - 2 a^4 z^4 + z^5/a^7 - (15 z^5)/
  a^5 - (43 z^5)/a^3 - (47 z^5)/a - 30 a z^5 - 10 a^3 z^5 - 40 z^6 + (
  5 z^6)/a^6 - (9 z^6)/a^4 - (41 z^6)/a^2 - 12 a^2 z^6 + a^4 z^6 + (
  10 z^7)/a^5 + (14 z^7)/a^3 + (5 z^7)/a + 5 a z^7 + 4 a^3 z^7 + 
  17 z^8 + (10 z^8)/a^4 + (21 z^8)/a^2 + 6 a^2 z^8 + (5 z^9)/a^3 + (
  9 z^9)/a + 4 a z^9 + z^10 + z^10/a^2, -1 + 1/(a z) + a/z - (4 z)/
  a^3 - (8 z)/a - 4 a z - 5 z^2 + z^2/a^4 - (3 z^2)/a^2 - a^2 z^2 + (
  4 z^3)/a^5 + (13 z^3)/a^3 + (15 z^3)/a + 9 a z^3 + 3 a^3 z^3 + 
  34 z^4 - (4 z^4)/a^6 + (4 z^4)/a^4 + (30 z^4)/a^2 + 11 a^2 z^4 - 
  a^4 z^4 + z^5/a^7 - (14 z^5)/a^5 - (14 z^5)/a^3 + (8 z^5)/a - 
  2 a z^5 - 9 a^3 z^5 - 47 z^6 + (5 z^6)/a^6 - (18 z^6)/a^4 - (
  48 z^6)/a^2 - 21 a^2 z^6 + a^4 z^6 + (11 z^7)/a^5 - (6 z^7)/a^3 - (
  37 z^7)/a - 15 a z^7 + 5 a^3 z^7 + 14 z^8 + (14 z^8)/a^4 + (18 z^8)/
  a^2 + 10 a^2 z^8 + (11 z^9)/a^3 + (21 z^9)/a + 10 a z^9 + 4 z^10 + (
  4 z^10)/a^2, -a^4 + a^3/z + a^5/z - a z - 4 a^3 z - a^5 z + 
  2 a^7 z - 2 z^2 - 6 a^2 z^2 - 2 a^4 z^2 + 3 a^6 z^2 + a^8 z^2 + z^3/
  a - 9 a z^3 - 17 a^3 z^3 - 7 a^5 z^3 - 3 a^7 z^3 - 3 a^9 z^3 + 
  13 z^4 + 27 a^2 z^4 + 21 a^4 z^4 - a^6 z^4 - 7 a^8 z^4 + 
  a^10 z^4 - (3 z^5)/a + 27 a z^5 + 54 a^3 z^5 + 13 a^5 z^5 - 
  7 a^7 z^5 + 4 a^9 z^5 - 15 z^6 - 19 a^2 z^6 - 21 a^4 z^6 - 
  10 a^6 z^6 + 7 a^8 z^6 + z^7/a - 24 a z^7 - 48 a^3 z^7 - 
  15 a^5 z^7 + 8 a^7 z^7 + 4 z^8 - 3 a^2 z^8 + a^4 z^8 + 8 a^6 z^8 + 
  6 a z^9 + 13 a^3 z^9 + 7 a^5 z^9 + 3 a^2 z^10 + 3 a^4 z^10, -1 + 1/(
  a z) + a/z - 8 z^2 + z^2/a^6 - (6 z^2)/a^2 - 3 a^2 z^2 - z^3/a^7 + (
  3 z^3)/a^5 - (5 z^3)/a^3 - (19 z^3)/a - 6 a z^3 + 4 a^3 z^3 + 
  28 z^4 - (6 z^4)/a^6 + (4 z^4)/a^4 + (23 z^4)/a^2 + 13 a^2 z^4 - 
  2 a^4 z^4 + z^5/a^7 - (11 z^5)/a^5 + (11 z^5)/a^3 + (48 z^5)/a + 
  15 a z^5 - 10 a^3 z^5 - 24 z^6 + (4 z^6)/a^6 - (12 z^6)/a^4 - (
  20 z^6)/a^2 - 19 a^2 z^6 + a^4 z^6 + (7 z^7)/a^5 - (12 z^7)/a^3 - (
  41 z^7)/a - 18 a z^7 + 4 a^3 z^7 + 3 z^8 + (8 z^8)/a^4 + (4 z^8)/
  a^2 + 7 a^2 z^8 + (7 z^9)/a^3 + (14 z^9)/a + 7 a z^9 + 3 z^10 + (
  3 z^10)/a^2, -a^4 + a^3/z + a^5/z + a z - 2 a^3 z - 3 a^5 z - 
  3 z^2 - 7 a^2 z^2 - 5 a^4 z^2 + a^8 z^2 + (2 z^3)/a - 7 a z^3 - 
  10 a^3 z^3 + 6 a^5 z^3 + 5 a^7 z^3 - 2 a^9 z^3 + 13 z^4 + 
  28 a^2 z^4 + 28 a^4 z^4 + 5 a^6 z^4 - 7 a^8 z^4 + a^10 z^4 - (
  3 z^5)/a + 21 a z^5 + 38 a^3 z^5 - 4 a^5 z^5 - 14 a^7 z^5 + 
  4 a^9 z^5 - 14 z^6 - 24 a^2 z^6 - 34 a^4 z^6 - 16 a^6 z^6 + 
  8 a^8 z^6 + z^7/a - 21 a z^7 - 43 a^3 z^7 - 10 a^5 z^7 + 
  11 a^7 z^7 + 4 z^8 + 7 a^4 z^8 + 11 a^6 z^8 + 6 a z^9 + 
  14 a^3 z^9 + 8 a^5 z^9 + 3 a^2 z^10 + 3 a^4 z^10, -a^4 + a^3/z + 
  a^5/z + 4 a z + 4 a^3 z + a^5 z + 2 a^7 z + a^9 z - 4 z^2 - 
  6 a^2 z^2 - 3 a^4 z^2 - a^10 z^2 + (3 z^3)/a - 14 a z^3 - 
  30 a^3 z^3 - 11 a^5 z^3 - 2 a^7 z^3 - 4 a^9 z^3 + 14 z^4 + 
  16 a^2 z^4 + 10 a^4 z^4 + 3 a^6 z^4 - 4 a^8 z^4 + a^10 z^4 - (
  4 z^5)/a + 24 a z^5 + 51 a^3 z^5 + 17 a^5 z^5 - 3 a^7 z^5 + 
  3 a^9 z^5 - 13 z^6 - 8 a^2 z^6 - 5 a^4 z^6 - 6 a^6 z^6 + 4 a^8 z^6 +
   z^7/a - 18 a z^7 - 35 a^3 z^7 - 12 a^5 z^7 + 4 a^7 z^7 + 3 z^8 - 
  4 a^2 z^8 - 3 a^4 z^8 + 4 a^6 z^8 + 4 a z^9 + 8 a^3 z^9 + 
  4 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, -a^4 + a^3/z + a^5/z + a^3 z + 
  5 a^5 z + 4 a^7 z + a^9 z + a^11 z - 3 a^2 z^2 - 7 a^4 z^2 - 
  9 a^6 z^2 - 3 a^8 z^2 + a^10 z^2 - a^12 z^2 - 18 a^3 z^3 - 
  33 a^5 z^3 - 11 a^7 z^3 - a^9 z^3 - 4 a^11 z^3 + a^13 z^3 + 
  7 a^2 z^4 + 16 a^4 z^4 + 27 a^6 z^4 + 8 a^8 z^4 - 7 a^10 z^4 + 
  3 a^12 z^4 + 30 a^3 z^5 + 61 a^5 z^5 + 17 a^7 z^5 - 9 a^9 z^5 + 
  5 a^11 z^5 - 5 a^2 z^6 - a^4 z^6 - 17 a^6 z^6 - 15 a^8 z^6 + 
  6 a^10 z^6 - 17 a^3 z^7 - 40 a^5 z^7 - 17 a^7 z^7 + 6 a^9 z^7 + 
  a^2 z^8 - 7 a^4 z^8 - 2 a^6 z^8 + 6 a^8 z^8 + 3 a^3 z^9 + 
  8 a^5 z^9 + 5 a^7 z^9 + 2 a^4 z^10 + 2 a^6 z^10, -1 + 1/(a z) + a/
  z - z/a^5 + (4 z)/a^3 + (10 z)/a + 4 a z - a^3 z - 7 z^2 + z^2/
  a^6 - (7 z^2)/a^4 - (13 z^2)/a^2 + 2 a^4 z^2 - (2 z^3)/a^7 + (
  6 z^3)/a^5 - (11 z^3)/a^3 - (38 z^3)/a - 13 a z^3 + 6 a^3 z^3 + 
  12 z^4 - (6 z^4)/a^6 + (18 z^4)/a^4 + (29 z^4)/a^2 + 4 a^2 z^4 - 
  3 a^4 z^4 + z^5/a^7 - (11 z^5)/a^5 + (20 z^5)/a^3 + (54 z^5)/a + 
  13 a z^5 - 9 a^3 z^5 - 7 z^6 + (3 z^6)/a^6 - (16 z^6)/a^4 - (
  15 z^6)/a^2 - 10 a^2 z^6 + a^4 z^6 + (5 z^7)/a^5 - (14 z^7)/a^3 - (
  33 z^7)/a - 11 a z^7 + 3 a^3 z^7 - z^8 + (6 z^8)/a^4 + z^8/a^2 + 
  4 a^2 z^8 + (5 z^9)/a^3 + (9 z^9)/a + 4 a z^9 + 2 z^10 + (2 z^10)/
  a^2, -a^4 + a^3/z + a^5/z - z/a + 2 a z + a^3 z - 4 a^5 z - 
  2 a^7 z - 2 z^2 + z^2/a^2 - 2 a^2 z^2 + a^4 z^2 + 2 a^6 z^2 + 
  2 a^8 z^2 - z^3/a^3 + (6 z^3)/a - a z^3 - 13 a^3 z^3 + 3 a^5 z^3 + 
  8 a^7 z^3 + 7 z^4 - (5 z^4)/a^2 + 11 a^2 z^4 + 4 a^4 z^4 + 
  2 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (13 z^5)/a - 2 a z^5 + 
  22 a^3 z^5 + a^5 z^5 - 9 a^7 z^5 - 14 z^6 + (4 z^6)/a^2 - 
  18 a^2 z^6 - 9 a^4 z^6 - 8 a^6 z^6 + a^8 z^6 + (8 z^7)/a - 
  4 a z^7 - 21 a^3 z^7 - 6 a^5 z^7 + 3 a^7 z^7 + 9 z^8 + 8 a^2 z^8 + 
  3 a^4 z^8 + 4 a^6 z^8 + 6 a z^9 + 10 a^3 z^9 + 4 a^5 z^9 + 
  2 a^2 z^10 + 2 a^4 z^10, -a^4 + a^3/z + a^5/z - a^3 z - a^7 z - 
  2 a^9 z + z^2 + a^2 z^2 - 2 a^4 z^2 - 6 a^6 z^2 - 2 a^8 z^2 + 
  2 a^10 z^2 + 6 a z^3 - 12 a^5 z^3 + 3 a^7 z^3 + 7 a^9 z^3 - 
  2 a^11 z^3 - 2 z^4 + 4 a^2 z^4 + 10 a^4 z^4 + 21 a^6 z^4 + 
  11 a^8 z^4 - 6 a^10 z^4 - 10 a z^5 - 2 a^3 z^5 + 25 a^5 z^5 + 
  6 a^7 z^5 - 10 a^9 z^5 + a^11 z^5 + z^6 - 13 a^2 z^6 - 17 a^4 z^6 - 
  18 a^6 z^6 - 12 a^8 z^6 + 3 a^10 z^6 + 4 a z^7 - 7 a^3 z^7 - 
  24 a^5 z^7 - 8 a^7 z^7 + 5 a^9 z^7 + 6 a^2 z^8 + 5 a^4 z^8 + 
  5 a^6 z^8 + 6 a^8 z^8 + 5 a^3 z^9 + 10 a^5 z^9 + 5 a^7 z^9 + 
  2 a^4 z^10 + 2 a^6 z^10, 
 a^2 + 3 a^4 + 3 a^6 - a^3/z - (3 a^5)/z - (2 a^7)/z - 2 a z - 
  a^3 z + 14 a^5 z + 8 a^7 z - 3 a^9 z + 2 a^11 z + 2 z^2 - 
  2 a^2 z^2 - 15 a^4 z^2 - 12 a^6 z^2 + a^10 z^2 + 7 a z^3 + 
  4 a^3 z^3 - 24 a^5 z^3 - 13 a^7 z^3 + 5 a^9 z^3 - 3 a^11 z^3 - 
  3 z^4 + 5 a^2 z^4 + 25 a^4 z^4 + 23 a^6 z^4 + 2 a^8 z^4 - 
  4 a^10 z^4 - 9 a z^5 - 4 a^3 z^5 + 26 a^5 z^5 + 14 a^7 z^5 - 
  6 a^9 z^5 + a^11 z^5 + z^6 - 10 a^2 z^6 - 20 a^4 z^6 - 15 a^6 z^6 - 
  4 a^8 z^6 + 2 a^10 z^6 + 3 a z^7 - 4 a^3 z^7 - 17 a^5 z^7 - 
  7 a^7 z^7 + 3 a^9 z^7 + 4 a^2 z^8 + 5 a^4 z^8 + 4 a^6 z^8 + 
  3 a^8 z^8 + 3 a^3 z^9 + 6 a^5 z^9 + 3 a^7 z^9 + a^4 z^10 + a^6 z^10,
  3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z - 4 a^3 z + 
  6 a^5 z + 15 a^7 z + a^9 z - 4 a^11 z - a^4 z^2 - 6 a^6 z^2 - 
  14 a^8 z^2 - 4 a^10 z^2 + 3 a^12 z^2 - 2 a^14 z^2 + 8 a^3 z^3 - 
  3 a^5 z^3 - 30 a^7 z^3 - 3 a^9 z^3 + 13 a^11 z^3 - 3 a^13 z^3 + 
  8 a^4 z^4 + 8 a^6 z^4 + 20 a^8 z^4 + 14 a^10 z^4 - 5 a^12 z^4 + 
  a^14 z^4 - 5 a^3 z^5 + 3 a^5 z^5 + 29 a^7 z^5 + 9 a^9 z^5 - 
  10 a^11 z^5 + 2 a^13 z^5 - 8 a^4 z^6 - 8 a^6 z^6 - 14 a^8 z^6 - 
  11 a^10 z^6 + 3 a^12 z^6 + a^3 z^7 - 6 a^5 z^7 - 19 a^7 z^7 - 
  8 a^9 z^7 + 4 a^11 z^7 + 2 a^4 z^8 + 2 a^8 z^8 + 4 a^10 z^8 + 
  2 a^5 z^9 + 5 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + a^8 z^10, -a^4 + a^3/
  z + a^5/z + 2 a z - 4 a^3 z - 5 a^5 z + 4 a^7 z + a^9 z - 2 a^11 z +
   a^2 z^2 + 3 a^6 z^2 + a^8 z^2 + a^10 z^2 + 4 a^12 z^2 - 3 a z^3 + 
  5 a^3 z^3 + 9 a^5 z^3 - 15 a^7 z^3 - 9 a^9 z^3 + 7 a^11 z^3 - 
  4 a^2 z^4 + 4 a^4 z^4 - 3 a^6 z^4 - 7 a^8 z^4 - 4 a^12 z^4 + 
  a z^5 - 6 a^3 z^5 - 3 a^5 z^5 + 19 a^7 z^5 + 8 a^9 z^5 - 
  7 a^11 z^5 + 2 a^2 z^6 - 5 a^4 z^6 + 2 a^6 z^6 + 4 a^8 z^6 - 
  4 a^10 z^6 + a^12 z^6 + 3 a^3 z^7 - a^5 z^7 - 11 a^7 z^7 - 
  5 a^9 z^7 + 2 a^11 z^7 + 3 a^4 z^8 - a^8 z^8 + 2 a^10 z^8 + 
  2 a^5 z^9 + 4 a^7 z^9 + 2 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z - (2 z)/a + 
  3 a z + 11 a^3 z + 6 a^5 z - z^2 + z^2/a^2 - 8 a^2 z^2 - 
  14 a^4 z^2 - 6 a^6 z^2 + 2 a^8 z^2 - z^3/a^3 + (7 z^3)/a + 
  4 a z^3 - 22 a^3 z^3 - 13 a^5 z^3 + 5 a^7 z^3 + 5 z^4 - (5 z^4)/
  a^2 + 20 a^2 z^4 + 25 a^4 z^4 + 12 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (
  13 z^5)/a - 8 a z^5 + 27 a^3 z^5 + 13 a^5 z^5 - 8 a^7 z^5 - 
  13 z^6 + (4 z^6)/a^2 - 25 a^2 z^6 - 22 a^4 z^6 - 13 a^6 z^6 + 
  a^8 z^6 + (8 z^7)/a - 2 a z^7 - 24 a^3 z^7 - 11 a^5 z^7 + 
  3 a^7 z^7 + 9 z^8 + 10 a^2 z^8 + 6 a^4 z^8 + 5 a^6 z^8 + 6 a z^9 + 
  11 a^3 z^9 + 5 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, -1 + 1/(a z) + a/
  z - z/a^5 - (2 z)/a^3 - (4 z)/a - 6 a z - 3 a^3 z - 5 z^2 + z^2/
  a^6 - z^2/a^4 - (5 z^2)/a^2 + 2 a^4 z^2 - z^3/a^7 + (5 z^3)/a^5 + (
  10 z^3)/a^3 + (9 z^3)/a + 13 a z^3 + 8 a^3 z^3 + 20 z^4 - (6 z^4)/
  a^6 + (4 z^4)/a^4 + (23 z^4)/a^2 + 4 a^2 z^4 - 3 a^4 z^4 + z^5/
  a^7 - (12 z^5)/a^5 - (13 z^5)/a^3 - (2 z^5)/a - 11 a z^5 - 
  9 a^3 z^5 - 23 z^6 + (4 z^6)/a^6 - (10 z^6)/a^4 - (27 z^6)/a^2 - 
  9 a^2 z^6 + a^4 z^6 + (7 z^7)/a^5 + (2 z^7)/a^3 - (9 z^7)/a - 
  a z^7 + 3 a^3 z^7 + 8 z^8 + (7 z^8)/a^4 + (11 z^8)/a^2 + 
  4 a^2 z^8 + (4 z^9)/a^3 + (7 z^9)/a + 3 a z^9 + z^10 + z^10/
  a^2, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) + z/a^13 + (2 z)/a^11 + (2 z)/
  a^9 + z/a^7 - (5 z)/a^5 - (5 z)/a^3 - z^2/a^14 + z^2/a^12 + z^2/
  a^10 - (3 z^2)/a^8 - (3 z^2)/a^6 - z^2/a^4 - (4 z^3)/a^13 - (3 z^3)/
  a^11 - (5 z^3)/a^9 - (4 z^3)/a^7 + (10 z^3)/a^5 + (8 z^3)/a^3 + z^4/
  a^14 - (4 z^4)/a^12 + (2 z^4)/a^10 + (11 z^4)/a^8 + (12 z^4)/a^6 + (
  8 z^4)/a^4 + (3 z^5)/a^13 - (2 z^5)/a^11 + (5 z^5)/a^9 + (12 z^5)/
  a^7 - (3 z^5)/a^5 - (5 z^5)/a^3 + (4 z^6)/a^12 - (5 z^6)/a^10 - (
  13 z^6)/a^8 - (12 z^6)/a^6 - (8 z^6)/a^4 + (4 z^7)/a^11 - (5 z^7)/
  a^9 - (15 z^7)/a^7 - (5 z^7)/a^5 + z^7/a^3 + (4 z^8)/a^10 + (3 z^8)/
  a^8 + z^8/a^6 + (2 z^8)/a^4 + (3 z^9)/a^9 + (5 z^9)/a^7 + (2 z^9)/
  a^5 + z^10/a^8 + z^10/a^6, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) + z/
  a^9 - (2 z)/a^7 - (9 z)/a^5 - (6 z)/a^3 - (2 z)/a - 2 a z - 5 z^2 - 
  z^2/a^10 + (2 z^2)/a^8 + (3 z^2)/a^6 - (5 z^2)/a^2 - (3 z^3)/a^9 + (
  5 z^3)/a^7 + (18 z^3)/a^5 + (13 z^3)/a^3 + (8 z^3)/a + 5 a z^3 + 
  14 z^4 + z^4/a^10 - (5 z^4)/a^8 - (4 z^4)/a^6 + (12 z^4)/a^4 + (
  24 z^4)/a^2 + (3 z^5)/a^9 - (7 z^5)/a^7 - (18 z^5)/a^5 - (4 z^5)/
  a^3 - 4 a z^5 - 12 z^6 + (5 z^6)/a^8 - (3 z^6)/a^6 - (21 z^6)/
  a^4 - (25 z^6)/a^2 + (6 z^7)/a^7 + (3 z^7)/a^5 - (12 z^7)/a^3 - (
  8 z^7)/a + a z^7 + 3 z^8 + (5 z^8)/a^6 + (7 z^8)/a^4 + (5 z^8)/
  a^2 + (3 z^9)/a^5 + (6 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + z^10/
  a^2, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) - (2 z)/a^11 - (4 z)/a^9 - (
  4 z)/a^7 - (7 z)/a^5 - (4 z)/a^3 + z/a + (2 z^2)/a^12 - z^2/a^10 - (
  4 z^2)/a^8 + (3 z^2)/a^4 + (2 z^2)/a^2 + (8 z^3)/a^11 + (11 z^3)/
  a^9 + (13 z^3)/a^7 + (18 z^3)/a^5 + (6 z^3)/a^3 - (2 z^3)/a - (
  3 z^4)/a^12 + (5 z^4)/a^10 + (11 z^4)/a^8 + (6 z^4)/a^6 - (2 z^4)/
  a^4 - (5 z^4)/a^2 - (9 z^5)/a^11 - (10 z^5)/a^9 - (10 z^5)/a^7 - (
  18 z^5)/a^5 - (8 z^5)/a^3 + z^5/a + z^6/a^12 - (9 z^6)/a^10 - (
  17 z^6)/a^8 - (14 z^6)/a^6 - (4 z^6)/a^4 + (3 z^6)/a^2 + (3 z^7)/
  a^11 - z^7/a^9 - (4 z^7)/a^7 + (5 z^7)/a^5 + (5 z^7)/a^3 + (4 z^8)/
  a^10 + (7 z^8)/a^8 + (8 z^8)/a^6 + (5 z^8)/a^4 + (3 z^9)/a^9 + (
  6 z^9)/a^7 + (3 z^9)/a^5 + z^10/a^8 + z^10/a^6, -(1/a^4) + 1/(
  a^5 z) + 1/(a^3 z) - z/a^11 - (3 z)/a^9 - (5 z)/a^7 - (8 z)/a^5 - (
  4 z)/a^3 + z/a + z^2/a^12 - (2 z^2)/a^8 - z^2/a^6 + (2 z^2)/a^4 + (
  2 z^2)/a^2 + (6 z^3)/a^11 + (13 z^3)/a^9 + (19 z^3)/a^7 + (20 z^3)/
  a^5 + (6 z^3)/a^3 - (2 z^3)/a - (2 z^4)/a^12 + (7 z^4)/a^10 + (
  17 z^4)/a^8 + (12 z^4)/a^6 - z^4/a^4 - (5 z^4)/a^2 - (10 z^5)/
  a^11 - (15 z^5)/a^9 - (16 z^5)/a^7 - (20 z^5)/a^5 - (8 z^5)/a^3 + 
  z^5/a + z^6/a^12 - (14 z^6)/a^10 - (28 z^6)/a^8 - (20 z^6)/a^6 - (
  4 z^6)/a^4 + (3 z^6)/a^2 + (4 z^7)/a^11 - z^7/a^9 - (4 z^7)/a^7 + (
  6 z^7)/a^5 + (5 z^7)/a^3 + (6 z^8)/a^10 + (11 z^8)/a^8 + (10 z^8)/
  a^6 + (5 z^8)/a^4 + (4 z^9)/a^9 + (7 z^9)/a^7 + (3 z^9)/a^5 + z^10/
  a^8 + z^10/a^6, -a^4 + a^3/z + a^5/z - z/a^3 - (8 z)/a - 13 a z - 
  10 a^3 z - 4 a^5 z + 5 z^2 + (3 z^2)/a^4 + (11 z^2)/a^2 - 
  6 a^2 z^2 - 3 a^4 z^2 - (3 z^3)/a^5 - z^3/a^3 + (23 z^3)/a + 
  36 a z^3 + 21 a^3 z^3 + 6 a^5 z^3 + 12 z^4 + z^4/a^6 - (7 z^4)/
  a^4 - (14 z^4)/a^2 + 30 a^2 z^4 + 12 a^4 z^4 + (4 z^5)/a^5 - (
  6 z^5)/a^3 - (28 z^5)/a - 24 a z^5 - 10 a^3 z^5 - 4 a^5 z^5 - 
  31 z^6 + (7 z^6)/a^4 - (2 z^6)/a^2 - 33 a^2 z^6 - 11 a^4 z^6 + (
  8 z^7)/a^3 + (6 z^7)/a - 8 a z^7 - 5 a^3 z^7 + a^5 z^7 + 12 z^8 + (
  7 z^8)/a^2 + 8 a^2 z^8 + 3 a^4 z^8 + (4 z^9)/a + 7 a z^9 + 
  3 a^3 z^9 + z^10 + a^2 z^10, -a^4 + a^3/z + a^5/z - (2 z)/a - 
  7 a z - 14 a^3 z - 11 a^5 z - 2 a^7 z + 3 z^2 + (2 z^2)/a^2 - 
  a^2 z^2 - 3 a^4 z^2 + a^8 z^2 - z^3/a^3 + (7 z^3)/a + 29 a z^3 + 
  42 a^3 z^3 + 29 a^5 z^3 + 8 a^7 z^3 - 4 z^4 - (6 z^4)/a^2 + 
  17 a^2 z^4 + 22 a^4 z^4 + 5 a^6 z^4 - 2 a^8 z^4 + z^5/a^3 - (
  11 z^5)/a - 33 a z^5 - 40 a^3 z^5 - 29 a^5 z^5 - 10 a^7 z^5 - 
  5 z^6 + (4 z^6)/a^2 - 32 a^2 z^6 - 36 a^4 z^6 - 12 a^6 z^6 + 
  a^8 z^6 + (7 z^7)/a + 10 a z^7 + 3 a^3 z^7 + 4 a^5 z^7 + 
  4 a^7 z^7 + 7 z^8 + 16 a^2 z^8 + 15 a^4 z^8 + 6 a^6 z^8 + 4 a z^9 + 
  8 a^3 z^9 + 4 a^5 z^9 + a^2 z^10 + a^4 z^10, 
 a^2 + 3 a^4 + 3 a^6 - a^3/z - (3 a^5)/z - (2 a^7)/z - 2 a z - 
  2 a^3 z + 12 a^5 z + 6 a^7 z - 5 a^9 z + a^11 z + 2 z^2 - a^2 z^2 - 
  13 a^4 z^2 - 9 a^6 z^2 + 2 a^8 z^2 + a^10 z^2 + 8 a z^3 + 
  9 a^3 z^3 - 15 a^5 z^3 - 4 a^7 z^3 + 10 a^9 z^3 - 2 a^11 z^3 - 
  3 z^4 + 5 a^2 z^4 + 22 a^4 z^4 + 17 a^6 z^4 - a^8 z^4 - 
  4 a^10 z^4 - 9 a z^5 - 9 a^3 z^5 + 9 a^5 z^5 - 3 a^7 z^5 - 
  11 a^9 z^5 + a^11 z^5 + z^6 - 9 a^2 z^6 - 22 a^4 z^6 - 21 a^6 z^6 - 
  6 a^8 z^6 + 3 a^10 z^6 + 3 a z^7 - a^3 z^7 - 10 a^5 z^7 + 
  6 a^9 z^7 + 4 a^2 z^8 + 8 a^4 z^8 + 10 a^6 z^8 + 6 a^8 z^8 + 
  3 a^3 z^9 + 7 a^5 z^9 + 4 a^7 z^9 + a^4 z^10 + a^6 z^10, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z - 4 a^3 z + 
  5 a^5 z + 14 a^7 z + 2 a^9 z - 3 a^11 z - 2 a^4 z^2 - 8 a^6 z^2 - 
  14 a^8 z^2 - 3 a^10 z^2 + 4 a^12 z^2 - a^14 z^2 + 8 a^3 z^3 - 
  24 a^7 z^3 - 3 a^9 z^3 + 11 a^11 z^3 - 2 a^13 z^3 + 9 a^4 z^4 + 
  14 a^6 z^4 + 21 a^8 z^4 + 8 a^10 z^4 - 7 a^12 z^4 + a^14 z^4 - 
  5 a^3 z^5 + a^5 z^5 + 21 a^7 z^5 - a^9 z^5 - 13 a^11 z^5 + 
  3 a^13 z^5 - 8 a^4 z^6 - 13 a^6 z^6 - 22 a^8 z^6 - 11 a^10 z^6 + 
  6 a^12 z^6 + a^3 z^7 - 5 a^5 z^7 - 17 a^7 z^7 - 3 a^9 z^7 + 
  8 a^11 z^7 + 2 a^4 z^8 + 2 a^6 z^8 + 7 a^8 z^8 + 7 a^10 z^8 + 
  2 a^5 z^9 + 6 a^7 z^9 + 4 a^9 z^9 + a^6 z^10 + a^8 z^10, -a^4 + a^3/
  z + a^5/z + 2 a z - 4 a^3 z - 6 a^5 z + 3 a^7 z + 2 a^9 z - a^11 z +
   a^2 z^2 - 2 a^4 z^2 - 2 a^6 z^2 - 3 a^8 z^2 - 2 a^10 z^2 + 
  2 a^12 z^2 - 3 a z^3 + 5 a^3 z^3 + 12 a^5 z^3 - 6 a^7 z^3 - 
  4 a^9 z^3 + 6 a^11 z^3 - 4 a^2 z^4 + 5 a^4 z^4 + 8 a^6 z^4 + 
  9 a^8 z^4 + 7 a^10 z^4 - 3 a^12 z^4 + a z^5 - 6 a^3 z^5 - 
  6 a^5 z^5 + 13 a^7 z^5 + 3 a^9 z^5 - 9 a^11 z^5 + 2 a^2 z^6 - 
  5 a^4 z^6 - 6 a^6 z^6 - 11 a^8 z^6 - 11 a^10 z^6 + a^12 z^6 + 
  3 a^3 z^7 - 12 a^7 z^7 - 6 a^9 z^7 + 3 a^11 z^7 + 3 a^4 z^8 + 
  2 a^6 z^8 + 3 a^8 z^8 + 4 a^10 z^8 + 2 a^5 z^9 + 5 a^7 z^9 + 
  3 a^9 z^9 + a^6 z^10 + a^8 z^10, -1 + 1/(a z) + a/z - z/a^7 + z/
  a^5 - (6 z)/a - 3 a z + a^3 z + z^2 + (2 z^2)/a^8 - (2 z^2)/a^6 - (
  3 z^2)/a^4 + 2 a^2 z^2 + (7 z^3)/a^7 + z^3/a^5 - z^3/a^3 + (12 z^3)/
  a + 5 a z^3 - 2 a^3 z^3 - (3 z^4)/a^8 + (7 z^4)/a^6 + (12 z^4)/
  a^4 + (7 z^4)/a^2 - 5 a^2 z^4 - (9 z^5)/a^7 - (3 z^5)/a^5 + (3 z^5)/
  a^3 - (12 z^5)/a - 8 a z^5 + a^3 z^5 - 5 z^6 + z^6/a^8 - (10 z^6)/
  a^6 - (16 z^6)/a^4 - (13 z^6)/a^2 + 3 a^2 z^6 + (3 z^7)/a^7 - (
  3 z^7)/a^5 - (8 z^7)/a^3 + (3 z^7)/a + 5 a z^7 + 5 z^8 + (4 z^8)/
  a^6 + (6 z^8)/a^4 + (7 z^8)/a^2 + (3 z^9)/a^5 + (6 z^9)/a^3 + (
  3 z^9)/a + z^10/a^4 + z^10/a^2, 
 3 a^10 + 3 a^12 + a^14 - (2 a^9)/z - (3 a^11)/z - a^13/z - 3 a^7 z + 
  13 a^9 z + 18 a^11 z + 3 a^13 z + 2 a^15 z + a^17 z - a^8 z^2 - 
  20 a^10 z^2 - 24 a^12 z^2 - 4 a^14 z^2 - a^18 z^2 + 7 a^7 z^3 - 
  23 a^9 z^3 - 35 a^11 z^3 - 3 a^13 z^3 - 2 a^15 z^3 - 4 a^17 z^3 + 
  7 a^8 z^4 + 35 a^10 z^4 + 40 a^12 z^4 + 7 a^14 z^4 - 4 a^16 z^4 + 
  a^18 z^4 - 5 a^7 z^5 + 23 a^9 z^5 + 39 a^11 z^5 + 5 a^13 z^5 - 
  3 a^15 z^5 + 3 a^17 z^5 - 8 a^8 z^6 - 22 a^10 z^6 - 25 a^12 z^6 - 
  7 a^14 z^6 + 4 a^16 z^6 + a^7 z^7 - 14 a^9 z^7 - 25 a^11 z^7 - 
  6 a^13 z^7 + 4 a^15 z^7 + 2 a^8 z^8 + 2 a^10 z^8 + 4 a^12 z^8 + 
  4 a^14 z^8 + 3 a^9 z^9 + 6 a^11 z^9 + 3 a^13 z^9 + a^10 z^10 + 
  a^12 z^10, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z + (11 z)/a + 
  23 a z + 10 a^3 z + 2 a^7 z - 20 z^2 + (3 z^2)/a^4 - (8 z^2)/a^2 - 
  14 a^2 z^2 - 3 a^4 z^2 + 2 a^6 z^2 + (4 z^3)/a^3 - (26 z^3)/a - 
  48 a z^3 - 16 a^3 z^3 - a^5 z^3 - 3 a^7 z^3 + 29 z^4 - (4 z^4)/
  a^4 + (14 z^4)/a^2 + 20 a^2 z^4 + 4 a^4 z^4 - 5 a^6 z^4 - (7 z^5)/
  a^3 + (26 z^5)/a + 52 a z^5 + 15 a^3 z^5 - 3 a^5 z^5 + a^7 z^5 - 
  13 z^6 + z^6/a^4 - (12 z^6)/a^2 - 6 a^2 z^6 - 4 a^4 z^6 + 
  2 a^6 z^6 + (2 z^7)/a^3 - (14 z^7)/a - 25 a z^7 - 7 a^3 z^7 + 
  2 a^5 z^7 + (3 z^8)/a^2 - a^2 z^8 + 2 a^4 z^8 + (3 z^9)/a + 
  5 a z^9 + 2 a^3 z^9 + z^10 + a^2 z^10, -a^4 + a^3/z + a^5/z + (4 z)/
  a + 3 a z - 7 a^3 z - 4 a^5 z + a^7 z - a^9 z - 6 z^2 - (6 z^2)/
  a^2 - a^2 z^2 + 4 a^4 z^2 + 4 a^6 z^2 - a^8 z^2 - (16 z^3)/a - 
  14 a z^3 + 11 a^3 z^3 + 6 a^5 z^3 - 2 a^7 z^3 + a^9 z^3 + 12 z^4 + (
  11 z^4)/a^2 + 6 a^2 z^4 - 3 a^4 z^4 - 6 a^6 z^4 + 2 a^8 z^4 + (
  23 z^5)/a + 27 a z^5 - 7 a^3 z^5 - 8 a^5 z^5 + 3 a^7 z^5 - 3 z^6 - (
  6 z^6)/a^2 - 6 a^2 z^6 - 5 a^4 z^6 + 4 a^6 z^6 - (12 z^7)/a - 
  19 a z^7 - 3 a^3 z^7 + 4 a^5 z^7 - 3 z^8 + z^8/a^2 - a^2 z^8 + 
  3 a^4 z^8 + (2 z^9)/a + 4 a z^9 + 2 a^3 z^9 + z^10 + a^2 z^10, 
 a^2 + 3 a^4 + 3 a^6 - a^3/z - (3 a^5)/z - (2 a^7)/z + 7 a^3 z + 
  23 a^5 z + 12 a^7 z - a^9 z + 2 a^11 z - a^13 z - 7 a^2 z^2 - 
  20 a^4 z^2 - 19 a^6 z^2 - 4 a^8 z^2 + a^10 z^2 - a^12 z^2 - 
  18 a^3 z^3 - 48 a^5 z^3 - 24 a^7 z^3 + 2 a^9 z^3 - 3 a^11 z^3 + 
  a^13 z^3 + 11 a^2 z^4 + 30 a^4 z^4 + 30 a^6 z^4 + 6 a^8 z^4 - 
  3 a^10 z^4 + 2 a^12 z^4 + 23 a^3 z^5 + 53 a^5 z^5 + 22 a^7 z^5 - 
  5 a^9 z^5 + 3 a^11 z^5 - 6 a^2 z^6 - 11 a^4 z^6 - 16 a^6 z^6 - 
  8 a^8 z^6 + 3 a^10 z^6 - 12 a^3 z^7 - 28 a^5 z^7 - 13 a^7 z^7 + 
  3 a^9 z^7 + a^2 z^8 - 2 a^4 z^8 + 3 a^8 z^8 + 2 a^3 z^9 + 
  5 a^5 z^9 + 3 a^7 z^9 + a^4 z^10 + a^6 z^10, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z + 15 a^5 z + 
  22 a^7 z + 6 a^9 z + a^11 z + 2 a^13 z - 11 a^6 z^2 - 23 a^8 z^2 - 
  7 a^10 z^2 + 2 a^12 z^2 - 2 a^14 z^2 + a^16 z^2 - 29 a^5 z^3 - 
  56 a^7 z^3 - 13 a^9 z^3 + 5 a^11 z^3 - 7 a^13 z^3 + 2 a^15 z^3 + 
  3 a^6 z^4 + 34 a^8 z^4 + 19 a^10 z^4 - 9 a^12 z^4 + 3 a^14 z^4 + 
  23 a^5 z^5 + 61 a^7 z^5 + 22 a^9 z^5 - 12 a^11 z^5 + 4 a^13 z^5 + 
  9 a^6 z^6 - 12 a^8 z^6 - 17 a^10 z^6 + 4 a^12 z^6 - 8 a^5 z^7 - 
  27 a^7 z^7 - 15 a^9 z^7 + 4 a^11 z^7 - 6 a^6 z^8 - 2 a^8 z^8 + 
  4 a^10 z^8 + a^5 z^9 + 4 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + 
  a^8 z^10, -a^4 + a^3/z + a^5/z - 7 a^3 z - 5 a^5 z + 5 a^7 z + 
  2 a^9 z + a^13 z + 3 a^4 z^2 + 8 a^6 z^2 + a^8 z^2 - a^10 z^2 + 
  a^12 z^2 - 2 a^14 z^2 + 11 a^3 z^3 + 8 a^5 z^3 - 22 a^7 z^3 - 
  11 a^9 z^3 + 4 a^11 z^3 - 4 a^13 z^3 + 2 a^4 z^4 - 16 a^6 z^4 - 
  6 a^8 z^4 + 8 a^10 z^4 - 3 a^12 z^4 + a^14 z^4 - 6 a^3 z^5 - 
  2 a^5 z^5 + 27 a^7 z^5 + 17 a^9 z^5 - 4 a^11 z^5 + 2 a^13 z^5 - 
  4 a^4 z^6 + 11 a^6 z^6 + 7 a^8 z^6 - 6 a^10 z^6 + 2 a^12 z^6 + 
  a^3 z^7 - 3 a^5 z^7 - 15 a^7 z^7 - 9 a^9 z^7 + 2 a^11 z^7 + 
  a^4 z^8 - 5 a^6 z^8 - 4 a^8 z^8 + 2 a^10 z^8 + a^5 z^9 + 
  3 a^7 z^9 + 2 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z - z/a + 7 a z + 
  15 a^3 z + 6 a^5 z - a^7 z - 3 z^2 - 10 a^2 z^2 - 16 a^4 z^2 - 
  6 a^6 z^2 + 2 a^8 z^2 - a^10 z^2 + (4 z^3)/a - 12 a z^3 - 
  39 a^3 z^3 - 14 a^5 z^3 + 6 a^7 z^3 - 3 a^9 z^3 + 12 z^4 + 
  20 a^2 z^4 + 27 a^4 z^4 + 12 a^6 z^4 - 6 a^8 z^4 + a^10 z^4 - (
  4 z^5)/a + 19 a z^5 + 52 a^3 z^5 + 17 a^5 z^5 - 9 a^7 z^5 + 
  3 a^9 z^5 - 12 z^6 - 13 a^2 z^6 - 18 a^4 z^6 - 12 a^6 z^6 + 
  5 a^8 z^6 + z^7/a - 16 a z^7 - 36 a^3 z^7 - 13 a^5 z^7 + 
  6 a^7 z^7 + 3 z^8 - 2 a^2 z^8 + a^4 z^8 + 6 a^6 z^8 + 4 a z^9 + 
  9 a^3 z^9 + 5 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, -1 + 1/(a z) + a/
  z - z/a^5 - z/a^3 - (2 z)/a - 4 a z - a^3 z + a^5 z - 5 z^2 - (
  5 z^2)/a^4 - (9 z^2)/a^2 + 2 a^2 z^2 + 2 a^4 z^2 - a^6 z^2 + (
  4 z^3)/a^5 + z^3/a^3 - z^3/a + 9 a z^3 + 4 a^3 z^3 - 3 a^5 z^3 + 
  16 z^4 + (16 z^4)/a^4 + (28 z^4)/a^2 - 2 a^2 z^4 - 5 a^4 z^4 + 
  a^6 z^4 - (4 z^5)/a^5 + (7 z^5)/a^3 + (10 z^5)/a - 11 a z^5 - 
  7 a^3 z^5 + 3 a^5 z^5 - 20 z^6 - (13 z^6)/a^4 - (24 z^6)/a^2 - 
  4 a^2 z^6 + 5 a^4 z^6 + z^7/a^5 - (10 z^7)/a^3 - (16 z^7)/a + 
  a z^7 + 6 a^3 z^7 + 6 z^8 + (3 z^8)/a^4 + (4 z^8)/a^2 + 
  5 a^2 z^8 + (3 z^9)/a^3 + (6 z^9)/a + 3 a z^9 + z^10 + z^10/
  a^2, -a^4 + a^3/z + a^5/z - z/a - a z - 2 a^3 z - a^5 z + a^7 z - 
  2 z^2 + z^2/a^2 - 7 a^2 z^2 - 5 a^4 z^2 - a^6 z^2 - z^3/a^3 + (
  5 z^3)/a + 3 a z^3 - 7 a^3 z^3 - a^5 z^3 + 3 a^7 z^3 + 11 z^4 - (
  5 z^4)/a^2 + 33 a^2 z^4 + 28 a^4 z^4 + 10 a^6 z^4 - a^8 z^4 + z^5/
  a^3 - (11 z^5)/a + 5 a z^5 + 30 a^3 z^5 + 4 a^5 z^5 - 9 a^7 z^5 - 
  17 z^6 + (4 z^6)/a^2 - 39 a^2 z^6 - 40 a^4 z^6 - 21 a^6 z^6 + 
  a^8 z^6 + (8 z^7)/a - 13 a z^7 - 43 a^3 z^7 - 17 a^5 z^7 + 
  5 a^7 z^7 + 11 z^8 + 12 a^2 z^8 + 11 a^4 z^8 + 10 a^6 z^8 + 
  10 a z^9 + 20 a^3 z^9 + 10 a^5 z^9 + 4 a^2 z^10 + 4 a^4 z^10, 
 3 + 3/a^2 + a^2 - 2/(a^3 z) - 3/(a z) - a/z + z/a^7 + (8 z)/a^3 + (
  15 z)/a + 6 a z - 17 z^2 + (2 z^2)/a^6 - (11 z^2)/a^2 - 7 a^2 z^2 + 
  a^4 z^2 - (2 z^3)/a^7 - (16 z^3)/a^3 - (39 z^3)/a - 17 a z^3 + 
  4 a^3 z^3 + 31 z^4 - (6 z^4)/a^6 + (18 z^4)/a^2 + 16 a^2 z^4 - 
  3 a^4 z^4 + z^5/a^7 - (6 z^5)/a^5 + (17 z^5)/a^3 + (57 z^5)/a + 
  24 a z^5 - 9 a^3 z^5 - 17 z^6 + (3 z^6)/a^6 - (5 z^6)/a^4 - (7 z^6)/
  a^2 - 17 a^2 z^6 + a^4 z^6 + (4 z^7)/a^5 - (10 z^7)/a^3 - (35 z^7)/
  a - 18 a z^7 + 3 a^3 z^7 + (4 z^8)/a^4 - z^8/a^2 + 5 a^2 z^8 + (
  4 z^9)/a^3 + (9 z^9)/a + 5 a z^9 + 2 z^10 + (2 z^10)/a^2, 
 3 + 3/a^2 + a^2 - 2/(a^3 z) - 3/(a z) - a/z - (2 z)/a^5 + (5 z)/
  a^3 + (10 z)/a + 2 a z - a^3 z - 12 z^2 - (3 z^2)/a^4 - (11 z^2)/
  a^2 - a^2 z^2 + 3 a^4 z^2 + (5 z^3)/a^5 - (4 z^3)/a^3 - (15 z^3)/
  a + 4 a z^3 + 9 a^3 z^3 - a^5 z^3 + 27 z^4 + (12 z^4)/a^4 + (
  26 z^4)/a^2 + 4 a^2 z^4 - 8 a^4 z^4 + a^6 z^4 - (4 z^5)/a^5 + (
  10 z^5)/a^3 + (22 z^5)/a - 14 a z^5 - 18 a^3 z^5 + 4 a^5 z^5 - 
  37 z^6 - (11 z^6)/a^4 - (23 z^6)/a^2 - 16 a^2 z^6 + 9 a^4 z^6 + z^7/
  a^5 - (12 z^7)/a^3 - (28 z^7)/a - 2 a z^7 + 13 a^3 z^7 + 12 z^8 + (
  3 z^8)/a^4 + (3 z^8)/a^2 + 12 a^2 z^8 + (4 z^9)/a^3 + (11 z^9)/a + 
  7 a z^9 + 2 z^10 + (2 z^10)/a^2, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) + 
  z/a^11 + z/a^9 + (3 z)/a^7 - (6 z)/a^3 - (3 z)/a + 2 z^2 + (3 z^2)/
  a^10 - (3 z^2)/a^6 - z^2/a^4 + z^2/a^2 - (2 z^3)/a^11 - (4 z^3)/
  a^7 - (3 z^3)/a^5 + (11 z^3)/a^3 + (8 z^3)/a - 3 z^4 - (6 z^4)/
  a^10 - z^4/a^8 + (11 z^4)/a^6 + (12 z^4)/a^4 + (3 z^4)/a^2 + z^5/
  a^11 - (5 z^5)/a^9 + z^5/a^7 + (7 z^5)/a^5 - (9 z^5)/a^3 - (9 z^5)/
  a + z^6 + (3 z^6)/a^10 - (3 z^6)/a^8 - (13 z^6)/a^6 - (17 z^6)/
  a^4 - (9 z^6)/a^2 + (4 z^7)/a^9 - z^7/a^7 - (10 z^7)/a^5 - (2 z^7)/
  a^3 + (3 z^7)/a + (4 z^8)/a^8 + (6 z^8)/a^6 + (6 z^8)/a^4 + (4 z^8)/
  a^2 + (3 z^9)/a^7 + (6 z^9)/a^5 + (3 z^9)/a^3 + z^10/a^6 + z^10/
  a^4, -1 + 1/(a z) + a/z - z/a^3 + (2 z)/a + 6 a z + 2 a^3 z - 
  a^5 z - 4 z^2 + (2 z^2)/a^4 + z^2/a^2 - 7 a^2 z^2 - 2 a^4 z^2 + 
  2 a^6 z^2 + (7 z^3)/a^3 - (9 z^3)/a - 32 a z^3 - 8 a^3 z^3 + 
  6 a^5 z^3 - 2 a^7 z^3 + 5 z^4 - (3 z^4)/a^4 + (3 z^4)/a^2 + 
  17 a^2 z^4 + 12 a^4 z^4 - 6 a^6 z^4 - (9 z^5)/a^3 + (9 z^5)/a + 
  44 a z^5 + 15 a^3 z^5 - 10 a^5 z^5 + a^7 z^5 - 5 z^6 + z^6/a^4 - (
  9 z^6)/a^2 - 11 a^2 z^6 - 13 a^4 z^6 + 3 a^6 z^6 + (3 z^7)/a^3 - (
  9 z^7)/a - 28 a z^7 - 11 a^3 z^7 + 5 a^5 z^7 + (4 z^8)/a^2 + 
  2 a^2 z^8 + 6 a^4 z^8 + (4 z^9)/a + 9 a z^9 + 5 a^3 z^9 + 2 z^10 + 
  2 a^2 z^10, -1 + 1/(a z) + a/z + (2 z)/a + 2 a z - 2 a^3 z - 
  2 a^5 z - 11 z^2 - (4 z^2)/a^2 - 12 a^2 z^2 - 4 a^4 z^2 - 
  a^8 z^2 - (18 z^3)/a - 22 a z^3 + 9 a^3 z^3 + 9 a^5 z^3 - 
  3 a^7 z^3 + a^9 z^3 + 24 z^4 + (8 z^4)/a^2 + 44 a^2 z^4 + 
  17 a^4 z^4 - 8 a^6 z^4 + 3 a^8 z^4 + (28 z^5)/a + 52 a z^5 - 
  19 a^5 z^5 + 5 a^7 z^5 - 8 z^6 - (5 z^6)/a^2 - 35 a^2 z^6 - 
  25 a^4 z^6 + 7 a^6 z^6 - (16 z^7)/a - 40 a z^7 - 15 a^3 z^7 + 
  9 a^5 z^7 - 5 z^8 + z^8/a^2 + 3 a^2 z^8 + 9 a^4 z^8 + (3 z^9)/a + 
  9 a z^9 + 6 a^3 z^9 + 2 z^10 + 2 a^2 z^10, -(1/a^4) + 1/(a^5 z) + 
  1/(a^3 z) + z/a^9 + z/a^7 + (5 z)/a^3 + (5 z)/a - 4 z^2 - z^2/a^10 +
   z^2/a^8 + (2 z^2)/a^6 - (4 z^2)/a^2 - (3 z^3)/a^9 + (5 z^3)/a^7 - 
  z^3/a^5 - (26 z^3)/a^3 - (13 z^3)/a + 4 a z^3 + 14 z^4 + z^4/
  a^10 - (4 z^4)/a^8 + (4 z^4)/a^6 + (7 z^4)/a^4 + (12 z^4)/a^2 + (
  3 z^5)/a^9 - (9 z^5)/a^7 + (35 z^5)/a^3 + (19 z^5)/a - 4 a z^5 - 
  12 z^6 + (5 z^6)/a^8 - (10 z^6)/a^6 - (14 z^6)/a^4 - (11 z^6)/
  a^2 + (7 z^7)/a^7 - (6 z^7)/a^5 - (29 z^7)/a^3 - (15 z^7)/a + 
  a z^7 + 3 z^8 + (7 z^8)/a^6 + (3 z^8)/a^4 - z^8/a^2 + (5 z^9)/
  a^5 + (9 z^9)/a^3 + (4 z^9)/a + (2 z^10)/a^4 + (2 z^10)/
  a^2, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) - (2 z)/a^7 - (3 z)/a^5 + (
  2 z)/a^3 + z/a - 2 a z - 6 z^2 + (2 z^2)/a^8 + z^2/a^6 - (3 z^2)/
  a^4 - (9 z^2)/a^2 + a^2 z^2 + (7 z^3)/a^7 - (3 z^3)/a^5 - (21 z^3)/
  a^3 - (2 z^3)/a + 7 a z^3 - 2 a^3 z^3 + 16 z^4 - (3 z^4)/a^8 + (
  2 z^4)/a^6 + (9 z^4)/a^4 + (26 z^4)/a^2 - 6 a^2 z^4 - (9 z^5)/
  a^7 + (6 z^5)/a^5 + (40 z^5)/a^3 + (13 z^5)/a - 11 a z^5 + 
  a^3 z^5 - 15 z^6 + z^6/a^8 - (9 z^6)/a^6 - (8 z^6)/a^4 - (16 z^6)/
  a^2 + 3 a^2 z^6 + (3 z^7)/a^7 - (9 z^7)/a^5 - (29 z^7)/a^3 - (
  12 z^7)/a + 5 a z^7 + 6 z^8 + (4 z^8)/a^6 + (2 z^8)/a^2 + (4 z^9)/
  a^5 + (9 z^9)/a^3 + (5 z^9)/a + (2 z^10)/a^4 + (2 z^10)/a^2, -1 + 
  1/(a z) + a/z - (2 z)/a^7 - (6 z)/a^5 - (10 z)/a^3 - (10 z)/a - 
  4 a z - 3 z^2 + (3 z^2)/a^8 + (4 z^2)/a^6 - (4 z^2)/a^2 - (2 z^3)/
  a^9 + (6 z^3)/a^7 + (24 z^3)/a^5 + (32 z^3)/a^3 + (22 z^3)/a + 
  6 a z^3 + 12 z^4 + z^4/a^10 - (8 z^4)/a^8 - (9 z^4)/a^6 + (16 z^4)/
  a^4 + (28 z^4)/a^2 + (4 z^5)/a^9 - (12 z^5)/a^7 - (34 z^5)/a^5 - (
  24 z^5)/a^3 - (10 z^5)/a - 4 a z^5 - 11 z^6 + (8 z^6)/a^8 - (4 z^6)/
  a^6 - (33 z^6)/a^4 - (32 z^6)/a^2 + (10 z^7)/a^7 + (9 z^7)/a^5 - (
  7 z^7)/a^3 - (5 z^7)/a + a z^7 + 3 z^8 + (8 z^8)/a^6 + (13 z^8)/
  a^4 + (8 z^8)/a^2 + (4 z^9)/a^5 + (7 z^9)/a^3 + (3 z^9)/a + z^10/
  a^4 + z^10/a^2, -a^4 + a^3/z + a^5/z - z/a - a^3 z - 2 a^5 z - 
  3 z^2 + z^2/a^2 - 9 a^2 z^2 - 8 a^4 z^2 - 3 a^6 z^2 - z^3/a^3 + (
  5 z^3)/a - a z^3 - 13 a^3 z^3 - a^5 z^3 + 5 a^7 z^3 + 9 z^4 - (
  5 z^4)/a^2 + 29 a^2 z^4 + 30 a^4 z^4 + 13 a^6 z^4 - 2 a^8 z^4 + z^5/
  a^3 - (12 z^5)/a + 4 a z^5 + 36 a^3 z^5 + 9 a^5 z^5 - 10 a^7 z^5 - 
  16 z^6 + (4 z^6)/a^2 - 30 a^2 z^6 - 29 a^4 z^6 - 18 a^6 z^6 + 
  a^8 z^6 + (8 z^7)/a - 10 a z^7 - 37 a^3 z^7 - 15 a^5 z^7 + 
  4 a^7 z^7 + 10 z^8 + 9 a^2 z^8 + 6 a^4 z^8 + 7 a^6 z^8 + 8 a z^9 + 
  15 a^3 z^9 + 7 a^5 z^9 + 3 a^2 z^10 + 3 a^4 z^10, -1 + 1/(a z) + a/
  z - (4 z)/a^3 - (8 z)/a - 4 a z - 5 z^2 - (5 z^2)/a^2 + a^2 z^2 + 
  a^4 z^2 + z^3/a^5 - z^3/a^3 + z^3/a + 9 a z^3 + 4 a^3 z^3 - 
  2 a^5 z^3 + 40 z^4 + (11 z^4)/a^4 + (34 z^4)/a^2 + 10 a^2 z^4 - 
  6 a^4 z^4 + a^6 z^4 - (2 z^5)/a^5 + (20 z^5)/a^3 + (37 z^5)/a - 
  3 a z^5 - 14 a^3 z^5 + 4 a^5 z^5 - 51 z^6 - (15 z^6)/a^4 - (35 z^6)/
  a^2 - 23 a^2 z^6 + 8 a^4 z^6 + z^7/a^5 - (25 z^7)/a^3 - (54 z^7)/
  a - 16 a z^7 + 12 a^3 z^7 + 11 z^8 + (5 z^8)/a^4 + (2 z^8)/a^2 + 
  14 a^2 z^8 + (8 z^9)/a^3 + (19 z^9)/a + 11 a z^9 + 4 z^10 + (
  4 z^10)/a^2, -1 + 1/(a z) + a/z + (4 z)/a^3 + (2 z)/a - 8 a z - 
  6 a^3 z + z^2 - (4 z^2)/a^4 - (3 z^2)/a^2 + 4 a^2 z^2 + 3 a^4 z^2 - 
  a^6 z^2 + (4 z^3)/a^5 - (12 z^3)/a^3 - (17 z^3)/a + 17 a z^3 + 
  16 a^3 z^3 - 2 a^5 z^3 + 5 z^4 + (14 z^4)/a^4 + (10 z^4)/a^2 + 
  2 a^2 z^4 - 6 a^4 z^4 + a^6 z^4 - (4 z^5)/a^5 + (19 z^5)/a^3 + (
  28 z^5)/a - 14 a z^5 - 16 a^3 z^5 + 3 a^5 z^5 - 15 z^6 - (12 z^6)/
  a^4 - (10 z^6)/a^2 - 11 a^2 z^6 + 6 a^4 z^6 + z^7/a^5 - (15 z^7)/
  a^3 - (27 z^7)/a - 2 a z^7 + 9 a^3 z^7 + 4 z^8 + (3 z^8)/a^4 - z^8/
  a^2 + 8 a^2 z^8 + (4 z^9)/a^3 + (9 z^9)/a + 5 a z^9 + 2 z^10 + (
  2 z^10)/a^2, -1 + 1/(a z) + a/z + (2 z)/a - 6 a^3 z - 4 a^5 z - 
  11 z^2 - (4 z^2)/a^2 - 10 a^2 z^2 + 3 a^4 z^2 + 6 a^6 z^2 - (
  17 z^3)/a - 17 a z^3 + 19 a^3 z^3 + 15 a^5 z^3 - 3 a^7 z^3 + 
  a^9 z^3 + 23 z^4 + (8 z^4)/a^2 + 38 a^2 z^4 + 5 a^4 z^4 - 
  15 a^6 z^4 + 3 a^8 z^4 + (28 z^5)/a + 47 a z^5 - 13 a^3 z^5 - 
  26 a^5 z^5 + 6 a^7 z^5 - 7 z^6 - (5 z^6)/a^2 - 34 a^2 z^6 - 
  22 a^4 z^6 + 10 a^6 z^6 - (16 z^7)/a - 38 a z^7 - 10 a^3 z^7 + 
  12 a^5 z^7 - 5 z^8 + z^8/a^2 + 4 a^2 z^8 + 10 a^4 z^8 + (3 z^9)/a + 
  9 a z^9 + 6 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 a^2 + 3 a^4 + 3 a^6 - a^3/z - (3 a^5)/z - (2 a^7)/z - a z + a^3 z + 
  16 a^5 z + 10 a^7 z - 2 a^9 z + 2 a^11 z + z^2 - 4 a^2 z^2 - 
  20 a^4 z^2 - 18 a^6 z^2 - 2 a^8 z^2 + a^10 z^2 + 7 a z^3 + 
  a^3 z^3 - 34 a^5 z^3 - 21 a^7 z^3 + 4 a^9 z^3 - 3 a^11 z^3 - 
  3 z^4 + 11 a^2 z^4 + 36 a^4 z^4 + 30 a^6 z^4 + 4 a^8 z^4 - 
  4 a^10 z^4 - 10 a z^5 + 2 a^3 z^5 + 39 a^5 z^5 + 20 a^7 z^5 - 
  6 a^9 z^5 + a^11 z^5 + z^6 - 13 a^2 z^6 - 23 a^4 z^6 - 16 a^6 z^6 - 
  5 a^8 z^6 + 2 a^10 z^6 + 3 a z^7 - 7 a^3 z^7 - 22 a^5 z^7 - 
  9 a^7 z^7 + 3 a^9 z^7 + 4 a^2 z^8 + 4 a^4 z^8 + 3 a^6 z^8 + 
  3 a^8 z^8 + 3 a^3 z^9 + 6 a^5 z^9 + 3 a^7 z^9 + a^4 z^10 + a^6 z^10,
  a^2 + 3 a^4 + 3 a^6 - a^3/z - (3 a^5)/z - (2 a^7)/z - a z - a^3 z + 
  14 a^5 z + 10 a^7 z - 4 a^9 z + 2 z^2 + a^2 z^2 - 15 a^4 z^2 - 
  14 a^6 z^2 - (2 z^3)/a + 6 a z^3 + 14 a^3 z^3 - 18 a^5 z^3 - 
  16 a^7 z^3 + 8 a^9 z^3 - 8 z^4 + z^4/a^2 - 3 a^2 z^4 + 30 a^4 z^4 + 
  30 a^6 z^4 + 6 a^8 z^4 + (4 z^5)/a - 13 a z^5 - 23 a^3 z^5 + 
  15 a^5 z^5 + 16 a^7 z^5 - 5 a^9 z^5 + 8 z^6 - 7 a^2 z^6 - 
  33 a^4 z^6 - 25 a^6 z^6 - 7 a^8 z^6 + 10 a z^7 + 5 a^3 z^7 - 
  17 a^5 z^7 - 11 a^7 z^7 + a^9 z^7 + 8 a^2 z^8 + 11 a^4 z^8 + 
  5 a^6 z^8 + 2 a^8 z^8 + 4 a^3 z^9 + 7 a^5 z^9 + 3 a^7 z^9 + 
  a^4 z^10 + a^6 z^10, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z - (4 z)/a + 
  3 a z + 17 a^3 z + 10 a^5 z - 3 z^2 + z^2/a^2 - 11 a^2 z^2 - 
  18 a^4 z^2 - 7 a^6 z^2 + 4 a^8 z^2 - (2 z^3)/a^3 + (10 z^3)/a + 
  8 a z^3 - 35 a^3 z^3 - 27 a^5 z^3 + 4 a^7 z^3 + 10 z^4 - (6 z^4)/
  a^2 + 25 a^2 z^4 + 23 a^4 z^4 + 10 a^6 z^4 - 4 a^8 z^4 + z^5/a^3 - (
  12 z^5)/a - 5 a z^5 + 35 a^3 z^5 + 21 a^5 z^5 - 6 a^7 z^5 - 
  11 z^6 + (3 z^6)/a^2 - 18 a^2 z^6 - 14 a^4 z^6 - 9 a^6 z^6 + 
  a^8 z^6 + (5 z^7)/a - 2 a z^7 - 19 a^3 z^7 - 10 a^5 z^7 + 
  2 a^7 z^7 + 5 z^8 + 5 a^2 z^8 + 3 a^4 z^8 + 3 a^6 z^8 + 3 a z^9 + 
  6 a^3 z^9 + 3 a^5 z^9 + a^2 z^10 + a^4 z^10, -a^4 + a^3/z + a^5/z + 
  a z - 5 a^3 z - 8 a^5 z - 3 a^7 z - 3 a^9 z - 2 a^11 z + a^2 z^2 - 
  2 a^6 z^2 - 5 a^8 z^2 - 2 a^10 z^2 + 2 a^12 z^2 - 2 a z^3 + 
  6 a^3 z^3 + 18 a^5 z^3 + 10 a^7 z^3 + 7 a^9 z^3 + 7 a^11 z^3 - 
  5 a^2 z^4 + 3 a^4 z^4 + 16 a^6 z^4 + 17 a^8 z^4 + 6 a^10 z^4 - 
  3 a^12 z^4 + a z^5 - 9 a^3 z^5 - 14 a^5 z^5 - a^7 z^5 - 6 a^9 z^5 - 
  9 a^11 z^5 + 3 a^2 z^6 - 7 a^4 z^6 - 18 a^6 z^6 - 19 a^8 z^6 - 
  10 a^10 z^6 + a^12 z^6 + 5 a^3 z^7 + 2 a^5 z^7 - 9 a^7 z^7 - 
  3 a^9 z^7 + 3 a^11 z^7 + 5 a^4 z^8 + 7 a^6 z^8 + 6 a^8 z^8 + 
  4 a^10 z^8 + 3 a^5 z^9 + 6 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + 
  a^8 z^10, -1 + 1/(a z) + a/z + (2 z)/a^3 - (4 z)/a - 10 a z + 
  4 a^5 z + z^2 + (4 z^2)/a^2 - 4 a^2 z^2 - 9 a^4 z^2 - 8 a^6 z^2 + 
  z^3/a^5 - (5 z^3)/a^3 + (6 z^3)/a + 26 a z^3 - 14 a^5 z^3 - 
  2 z^4 + (3 z^4)/a^4 - (11 z^4)/a^2 + 22 a^2 z^4 + 22 a^4 z^4 + 
  12 a^6 z^4 + (6 z^5)/a^3 - (14 z^5)/a - 23 a z^5 + 17 a^3 z^5 + 
  20 a^5 z^5 - 10 z^6 + (8 z^6)/a^2 - 23 a^2 z^6 - 11 a^4 z^6 - 
  6 a^6 z^6 + (8 z^7)/a - 19 a^3 z^7 - 11 a^5 z^7 + 6 z^8 + 
  4 a^2 z^8 - a^4 z^8 + a^6 z^8 + 3 a z^9 + 5 a^3 z^9 + 2 a^5 z^9 + 
  a^2 z^10 + a^4 z^10, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) + z/a^13 + z/
  a^11 + z/a^9 + (2 z)/a^7 - (4 z)/a^5 - (5 z)/a^3 - z^2/a^14 + (
  2 z^2)/a^12 - (5 z^2)/a^8 - (2 z^2)/a^6 - (3 z^3)/a^13 + (3 z^3)/
  a^11 - z^3/a^9 - (6 z^3)/a^7 + (9 z^3)/a^5 + (8 z^3)/a^3 + z^4/
  a^14 - (5 z^4)/a^12 + z^4/a^10 + (8 z^4)/a^8 + (9 z^4)/a^6 + (
  8 z^4)/a^4 + (3 z^5)/a^13 - (7 z^5)/a^11 - (3 z^5)/a^9 + (10 z^5)/
  a^7 - (2 z^5)/a^5 - (5 z^5)/a^3 + (5 z^6)/a^12 - (5 z^6)/a^10 - (
  12 z^6)/a^8 - (10 z^6)/a^6 - (8 z^6)/a^4 + (6 z^7)/a^11 - z^7/
  a^9 - (13 z^7)/a^7 - (5 z^7)/a^5 + z^7/a^3 + (5 z^8)/a^10 + (4 z^8)/
  a^8 + z^8/a^6 + (2 z^8)/a^4 + (3 z^9)/a^9 + (5 z^9)/a^7 + (2 z^9)/
  a^5 + z^10/a^8 + z^10/a^6, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) - (2 z)/
  a^7 - (7 z)/a^5 - (6 z)/a^3 - (3 z)/a - 2 a z - 6 z^2 + (2 z^2)/
  a^8 + (2 z^2)/a^6 - (3 z^2)/a^4 - (9 z^2)/a^2 - (2 z^3)/a^9 + (
  7 z^3)/a^7 + (23 z^3)/a^5 + (19 z^3)/a^3 + (10 z^3)/a + 5 a z^3 + 
  15 z^4 + z^4/a^10 - (8 z^4)/a^8 - (5 z^4)/a^6 + (21 z^4)/a^4 + (
  32 z^4)/a^2 + (4 z^5)/a^9 - (13 z^5)/a^7 - (30 z^5)/a^5 - (11 z^5)/
  a^3 - (2 z^5)/a - 4 a z^5 - 12 z^6 + (8 z^6)/a^8 - (6 z^6)/a^6 - (
  33 z^6)/a^4 - (31 z^6)/a^2 + (10 z^7)/a^7 + (7 z^7)/a^5 - (11 z^7)/
  a^3 - (7 z^7)/a + a z^7 + 3 z^8 + (8 z^8)/a^6 + (12 z^8)/a^4 + (
  7 z^8)/a^2 + (4 z^9)/a^5 + (7 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + 
  z^10/a^2, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) - (2 z)/
  a^7 + (8 z)/a^5 + (21 z)/a^3 + (9 z)/a - 2 a z - 3 z^2 - (2 z^2)/
  a^10 + (3 z^2)/a^8 - (6 z^2)/a^6 - (17 z^2)/a^4 - (9 z^2)/a^2 - (
  3 z^3)/a^9 + (12 z^3)/a^7 - (17 z^3)/a^5 - (51 z^3)/a^3 - (12 z^3)/
  a + 7 a z^3 + 11 z^4 + z^4/a^10 - (5 z^4)/a^8 + (17 z^4)/a^6 + (
  22 z^4)/a^4 + (10 z^4)/a^2 + (2 z^5)/a^9 - (10 z^5)/a^7 + (18 z^5)/
  a^5 + (46 z^5)/a^3 + (11 z^5)/a - 5 a z^5 - 9 z^6 + (3 z^6)/a^8 - (
  12 z^6)/a^6 - (12 z^6)/a^4 - (6 z^6)/a^2 + (4 z^7)/a^7 - (10 z^7)/
  a^5 - (23 z^7)/a^3 - (8 z^7)/a + a z^7 + 2 z^8 + (4 z^8)/a^6 + z^8/
  a^4 - z^8/a^2 + (3 z^9)/a^5 + (5 z^9)/a^3 + (2 z^9)/a + z^10/a^4 + 
  z^10/a^2, -1 + 1/(a z) + a/z - z/a^7 + (5 z)/a^5 + (6 z)/a^3 - (
  6 z)/a - 5 a z + a^3 z - 2 z^2 + (4 z^2)/a^8 - z^2/a^6 - (2 z^2)/
  a^4 + a^2 z^2 + (6 z^3)/a^7 - (18 z^3)/a^5 - (23 z^3)/a^3 + (
  13 z^3)/a + 9 a z^3 - 3 a^3 z^3 + 10 z^4 - (4 z^4)/a^8 + (2 z^4)/
  a^6 - (2 z^4)/a^4 + (7 z^4)/a^2 - 5 a^2 z^4 - (7 z^5)/a^7 + (
  14 z^5)/a^5 + (30 z^5)/a^3 - z^5/a - 9 a z^5 + a^3 z^5 - 9 z^6 + 
  z^6/a^8 - (5 z^6)/a^6 + (3 z^6)/a^4 - (2 z^6)/a^2 + 2 a^2 z^6 + (
  2 z^7)/a^7 - (7 z^7)/a^5 - (16 z^7)/a^3 - (4 z^7)/a + 3 a z^7 + 
  3 z^8 + (2 z^8)/a^6 - (2 z^8)/a^4 - z^8/a^2 + (2 z^9)/a^5 + (4 z^9)/
  a^3 + (2 z^9)/a + z^10/a^4 + z^10/a^2, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z + (7 z)/a + 
  16 a z + 7 a^3 z - a^5 z + a^7 z - 14 z^2 + (2 z^2)/a^4 - (5 z^2)/
  a^2 - 9 a^2 z^2 + 2 a^6 z^2 + (5 z^3)/a^3 - (16 z^3)/a - 35 a z^3 - 
  9 a^3 z^3 + 3 a^5 z^3 - 2 a^7 z^3 + 20 z^4 - (3 z^4)/a^4 + (11 z^4)/
  a^2 + 15 a^2 z^4 + 4 a^4 z^4 - 5 a^6 z^4 - (8 z^5)/a^3 + (15 z^5)/
  a + 38 a z^5 + 7 a^3 z^5 - 7 a^5 z^5 + a^7 z^5 - 17 z^6 + z^6/
  a^4 - (13 z^6)/a^2 - 14 a^2 z^6 - 8 a^4 z^6 + 3 a^6 z^6 + (3 z^7)/
  a^3 - (12 z^7)/a - 26 a z^7 - 6 a^3 z^7 + 5 a^5 z^7 + 4 z^8 + (
  5 z^8)/a^2 + 5 a^2 z^8 + 6 a^4 z^8 + (5 z^9)/a + 10 a z^9 + 
  5 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 a^2 + 3 a^4 + 3 a^6 - a^3/z - (3 a^5)/z - (2 a^7)/z + 6 a^3 z + 
  21 a^5 z + 10 a^7 z - 3 a^9 z + a^11 z - a^13 z - 6 a^2 z^2 - 
  17 a^4 z^2 - 13 a^6 z^2 + a^8 z^2 + 2 a^10 z^2 - a^12 z^2 - 
  19 a^3 z^3 - 45 a^5 z^3 - 13 a^7 z^3 + 10 a^9 z^3 - 2 a^11 z^3 + 
  a^13 z^3 + 11 a^2 z^4 + 25 a^4 z^4 + 23 a^6 z^4 + 2 a^8 z^4 - 
  5 a^10 z^4 + 2 a^12 z^4 + 24 a^3 z^5 + 48 a^5 z^5 + 9 a^7 z^5 - 
  12 a^9 z^5 + 3 a^11 z^5 - 6 a^2 z^6 - 9 a^4 z^6 - 16 a^6 z^6 - 
  9 a^8 z^6 + 4 a^10 z^6 - 12 a^3 z^7 - 26 a^5 z^7 - 9 a^7 z^7 + 
  5 a^9 z^7 + a^2 z^8 - 2 a^4 z^8 + a^6 z^8 + 4 a^8 z^8 + 2 a^3 z^9 + 
  5 a^5 z^9 + 3 a^7 z^9 + a^4 z^10 + a^6 z^10, -(1/a^4) + 1/(a^5 z) + 
  1/(a^3 z) + z/a^11 + z/a^9 + (2 z)/a^7 - z/a^5 - (5 z)/a^3 - (2 z)/
  a + z^2 + (3 z^2)/a^10 - z^2/a^8 - (8 z^2)/a^6 - (7 z^2)/a^4 - (
  2 z^2)/a^2 - (2 z^3)/a^11 - z^3/a^9 - (7 z^3)/a^7 - (6 z^3)/a^5 + (
  10 z^3)/a^3 + (8 z^3)/a - 3 z^4 - (6 z^4)/a^10 + (19 z^4)/a^6 + (
  25 z^4)/a^4 + (9 z^4)/a^2 + z^5/a^11 - (5 z^5)/a^9 + (5 z^5)/a^7 + (
  17 z^5)/a^5 - (4 z^5)/a^3 - (10 z^5)/a + z^6 + (3 z^6)/a^10 - (
  4 z^6)/a^8 - (15 z^6)/a^6 - (21 z^6)/a^4 - (12 z^6)/a^2 + (4 z^7)/
  a^9 - (3 z^7)/a^7 - (15 z^7)/a^5 - (5 z^7)/a^3 + (3 z^7)/a + (
  4 z^8)/a^8 + (5 z^8)/a^6 + (5 z^8)/a^4 + (4 z^8)/a^2 + (3 z^9)/
  a^7 + (6 z^9)/a^5 + (3 z^9)/a^3 + z^10/a^6 + z^10/a^4, 
 3 a^10 + 3 a^12 + a^14 - (2 a^9)/z - (3 a^11)/z - a^13/z - 5 a^7 z + 
  8 a^9 z + 14 a^11 z + a^13 z - 3 a^8 z^2 - 20 a^10 z^2 - 
  19 a^12 z^2 - a^14 z^2 + a^16 z^2 - 2 a^5 z^3 + 13 a^7 z^3 - 
  8 a^9 z^3 - 27 a^11 z^3 + 2 a^13 z^3 + 6 a^15 z^3 - 5 a^6 z^4 + 
  14 a^8 z^4 + 42 a^10 z^4 + 30 a^12 z^4 + 5 a^14 z^4 - 2 a^16 z^4 + 
  a^5 z^5 - 14 a^7 z^5 + 14 a^9 z^5 + 34 a^11 z^5 - 5 a^13 z^5 - 
  10 a^15 z^5 + 3 a^6 z^6 - 15 a^8 z^6 - 31 a^10 z^6 - 27 a^12 z^6 - 
  13 a^14 z^6 + a^16 z^6 + 6 a^7 z^7 - 12 a^9 z^7 - 28 a^11 z^7 - 
  6 a^13 z^7 + 4 a^15 z^7 + 7 a^8 z^8 + 8 a^10 z^8 + 7 a^12 z^8 + 
  6 a^14 z^8 + 6 a^9 z^9 + 11 a^11 z^9 + 5 a^13 z^9 + 2 a^10 z^10 + 
  2 a^12 z^10, -a^8 + a^7/z + a^9/z - 4 a^3 z - a^5 z - 5 a^7 z - 
  7 a^9 z + a^11 z - 4 a^2 z^2 - 16 a^4 z^2 - 9 a^6 z^2 + 4 a^8 z^2 + 
  a^10 z^2 + 7 a z^3 + 18 a^3 z^3 + 10 a^5 z^3 + 12 a^7 z^3 + 
  11 a^9 z^3 - 2 a^11 z^3 - 2 z^4 + 13 a^2 z^4 + 41 a^4 z^4 + 
  27 a^6 z^4 - 3 a^8 z^4 - 4 a^10 z^4 - 11 a z^5 - 17 a^3 z^5 - 
  8 a^5 z^5 - 14 a^7 z^5 - 11 a^9 z^5 + a^11 z^5 + z^6 - 16 a^2 z^6 - 
  40 a^4 z^6 - 31 a^6 z^6 - 5 a^8 z^6 + 3 a^10 z^6 + 4 a z^7 - 
  a^3 z^7 - 8 a^5 z^7 + 3 a^7 z^7 + 6 a^9 z^7 + 6 a^2 z^8 + 
  13 a^4 z^8 + 13 a^6 z^8 + 6 a^8 z^8 + 4 a^3 z^9 + 8 a^5 z^9 + 
  4 a^7 z^9 + a^4 z^10 + a^6 z^10, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z - 2 a^3 z + 
  7 a^5 z + 12 a^7 z - 3 a^11 z - 2 a^4 z^2 - 11 a^6 z^2 - 
  17 a^8 z^2 - 4 a^10 z^2 + 3 a^12 z^2 - a^14 z^2 + 5 a^3 z^3 - 
  7 a^5 z^3 - 23 a^7 z^3 + 4 a^9 z^3 + 13 a^11 z^3 - 2 a^13 z^3 + 
  11 a^4 z^4 + 21 a^6 z^4 + 29 a^8 z^4 + 12 a^10 z^4 - 6 a^12 z^4 + 
  a^14 z^4 - 4 a^3 z^5 + 12 a^5 z^5 + 31 a^7 z^5 - 3 a^9 z^5 - 
  15 a^11 z^5 + 3 a^13 z^5 - 11 a^4 z^6 - 18 a^6 z^6 - 29 a^8 z^6 - 
  16 a^10 z^6 + 6 a^12 z^6 + a^3 z^7 - 13 a^5 z^7 - 30 a^7 z^7 - 
  7 a^9 z^7 + 9 a^11 z^7 + 3 a^4 z^8 + a^6 z^8 + 7 a^8 z^8 + 
  9 a^10 z^8 + 4 a^5 z^9 + 10 a^7 z^9 + 6 a^9 z^9 + 2 a^6 z^10 + 
  2 a^8 z^10, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z - (2 z)/a + a z + 
  7 a^3 z + 4 a^5 z - z^2 + z^2/a^2 - 8 a^2 z^2 - 13 a^4 z^2 - 
  6 a^6 z^2 + a^8 z^2 - z^3/a^3 + (7 z^3)/a + 9 a z^3 - 10 a^3 z^3 - 
  7 a^5 z^3 + 4 a^7 z^3 + 7 z^4 - (5 z^4)/a^2 + 28 a^2 z^4 + 
  31 a^4 z^4 + 13 a^6 z^4 - 2 a^8 z^4 + z^5/a^3 - (12 z^5)/a - 
  8 a z^5 + 20 a^3 z^5 + 7 a^5 z^5 - 8 a^7 z^5 - 14 z^6 + (4 z^6)/
  a^2 - 36 a^2 z^6 - 37 a^4 z^6 - 18 a^6 z^6 + a^8 z^6 + (8 z^7)/a - 
  5 a z^7 - 31 a^3 z^7 - 14 a^5 z^7 + 4 a^7 z^7 + 10 z^8 + 
  13 a^2 z^8 + 11 a^4 z^8 + 8 a^6 z^8 + 8 a z^9 + 16 a^3 z^9 + 
  8 a^5 z^9 + 3 a^2 z^10 + 3 a^4 z^10, -(1/a^4) + 1/(a^5 z) + 1/(
  a^3 z) + z/a^9 - z/a^7 - (8 z)/a^5 - (7 z)/a^3 - (3 z)/a - 2 a z - 
  6 z^2 - z^2/a^10 + z^2/a^8 - (6 z^2)/a^4 - (10 z^2)/a^2 - (3 z^3)/
  a^9 + (6 z^3)/a^7 + (21 z^3)/a^5 + (16 z^3)/a^3 + (9 z^3)/a + 
  5 a z^3 + 15 z^4 + z^4/a^10 - (4 z^4)/a^8 + (5 z^4)/a^6 + (28 z^4)/
  a^4 + (33 z^4)/a^2 + (3 z^5)/a^9 - (9 z^5)/a^7 - (21 z^5)/a^5 - (
  7 z^5)/a^3 - (2 z^5)/a - 4 a z^5 - 12 z^6 + (5 z^6)/a^8 - (10 z^6)/
  a^6 - (35 z^6)/a^4 - (32 z^6)/a^2 + (7 z^7)/a^7 + (2 z^7)/a^5 - (
  13 z^7)/a^3 - (7 z^7)/a + a z^7 + 3 z^8 + (7 z^8)/a^6 + (11 z^8)/
  a^4 + (7 z^8)/a^2 + (4 z^9)/a^5 + (7 z^9)/a^3 + (3 z^9)/a + z^10/
  a^4 + z^10/a^2, -a^4 + a^3/z + a^5/z - (3 z)/a - 8 a z - 13 a^3 z - 
  10 a^5 z - 2 a^7 z + (2 z^2)/a^2 - 5 a^2 z^2 - 4 a^4 z^2 + a^8 z^2 -
   z^3/a^3 + (8 z^3)/a + 29 a z^3 + 41 a^3 z^3 + 29 a^5 z^3 + 
  8 a^7 z^3 + 2 z^4 - (5 z^4)/a^2 + 26 a^2 z^4 + 27 a^4 z^4 + 
  6 a^6 z^4 - 2 a^8 z^4 + z^5/a^3 - (12 z^5)/a - 35 a z^5 - 
  42 a^3 z^5 - 30 a^5 z^5 - 10 a^7 z^5 - 10 z^6 + (4 z^6)/a^2 - 
  42 a^2 z^6 - 41 a^4 z^6 - 12 a^6 z^6 + a^8 z^6 + (8 z^7)/a + 
  10 a z^7 + 3 a^3 z^7 + 5 a^5 z^7 + 4 a^7 z^7 + 9 z^8 + 20 a^2 z^8 + 
  17 a^4 z^8 + 6 a^6 z^8 + 5 a z^9 + 9 a^3 z^9 + 4 a^5 z^9 + 
  a^2 z^10 + a^4 z^10, -1 + 1/(a z) + a/z - (5 z)/a - 6 a z - 
  2 a^5 z - 3 a^7 z - z^2 - 5 a^4 z^2 - 3 a^6 z^2 + 2 a^8 z^2 - 
  a^10 z^2 + (8 z^3)/a + 11 a z^3 - 3 a^3 z^3 + 6 a^5 z^3 + 
  9 a^7 z^3 - 3 a^9 z^3 + 8 z^4 + 9 a^2 z^4 + 15 a^4 z^4 + 
  7 a^6 z^4 - 6 a^8 z^4 + a^10 z^4 - (5 z^5)/a - 3 a z^5 + 
  10 a^3 z^5 - 5 a^5 z^5 - 10 a^7 z^5 + 3 a^9 z^5 - 8 z^6 - 
  11 a^2 z^6 - 16 a^4 z^6 - 8 a^6 z^6 + 5 a^8 z^6 + z^7/a - 5 a z^7 - 
  14 a^3 z^7 - 2 a^5 z^7 + 6 a^7 z^7 + 2 z^8 + a^2 z^8 + 4 a^4 z^8 + 
  5 a^6 z^8 + 2 a z^9 + 5 a^3 z^9 + 3 a^5 z^9 + a^2 z^10 + 
  a^4 z^10, -1 + 1/(a z) + a/z + (4 z)/a^3 + (4 z)/a - 4 a z - 
  4 a^3 z - 4 z^2 - (5 z^2)/a^4 - (7 z^2)/a^2 + a^4 z^2 - a^6 z^2 + (
  4 z^3)/a^5 - (12 z^3)/a^3 - (19 z^3)/a + 11 a z^3 + 11 a^3 z^3 - 
  3 a^5 z^3 + 17 z^4 + (14 z^4)/a^4 + (16 z^4)/a^2 + 9 a^2 z^4 - 
  5 a^4 z^4 + a^6 z^4 - (4 z^5)/a^5 + (18 z^5)/a^3 + (33 z^5)/a - 
  4 a z^5 - 12 a^3 z^5 + 3 a^5 z^5 - 19 z^6 - (12 z^6)/a^4 - (13 z^6)/
  a^2 - 13 a^2 z^6 + 5 a^4 z^6 + z^7/a^5 - (15 z^7)/a^3 - (30 z^7)/
  a - 7 a z^7 + 7 a^3 z^7 + 3 z^8 + (3 z^8)/a^4 - z^8/a^2 + 
  7 a^2 z^8 + (4 z^9)/a^3 + (9 z^9)/a + 5 a z^9 + 2 z^10 + (2 z^10)/
  a^2, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) - (2 z)/a^9 + z/a^5 - (2 z)/
  a^3 - z/a + z^2 + z^2/a^10 - (5 z^2)/a^8 - (8 z^2)/a^6 - (3 z^2)/
  a^4 - z^3/a^11 + (8 z^3)/a^9 + (6 z^3)/a^7 - (5 z^3)/a^5 + (4 z^3)/
  a^3 + (6 z^3)/a - 2 z^4 - (4 z^4)/a^10 + (13 z^4)/a^8 + (27 z^4)/
  a^6 + (19 z^4)/a^4 + (7 z^4)/a^2 + z^5/a^11 - (13 z^5)/a^9 - (
  7 z^5)/a^7 + (14 z^5)/a^5 - (2 z^5)/a^3 - (9 z^5)/a + z^6 + (4 z^6)/
  a^10 - (19 z^6)/a^8 - (38 z^6)/a^6 - (30 z^6)/a^4 - (14 z^6)/a^2 + (
  9 z^7)/a^9 - (6 z^7)/a^7 - (28 z^7)/a^5 - (9 z^7)/a^3 + (4 z^7)/
  a + (12 z^8)/a^8 + (15 z^8)/a^6 + (10 z^8)/a^4 + (7 z^8)/a^2 + (
  9 z^9)/a^7 + (16 z^9)/a^5 + (7 z^9)/a^3 + (3 z^10)/a^6 + (3 z^10)/
  a^4, 3 a^10 + 3 a^12 + a^14 - (2 a^9)/z - (3 a^11)/z - a^13/z - 
  4 a^7 z + 11 a^9 z + 16 a^11 z + a^13 z + a^15 z + a^17 z - 
  17 a^10 z^2 - 22 a^12 z^2 - 3 a^14 z^2 + a^16 z^2 - a^18 z^2 + 
  8 a^7 z^3 - 17 a^9 z^3 - 24 a^11 z^3 + 9 a^13 z^3 + 5 a^15 z^3 - 
  3 a^17 z^3 + 6 a^8 z^4 + 32 a^10 z^4 + 39 a^12 z^4 + 8 a^14 z^4 - 
  4 a^16 z^4 + a^18 z^4 - 5 a^7 z^5 + 16 a^9 z^5 + 20 a^11 z^5 - 
  13 a^13 z^5 - 9 a^15 z^5 + 3 a^17 z^5 - 7 a^8 z^6 - 26 a^10 z^6 - 
  35 a^12 z^6 - 11 a^14 z^6 + 5 a^16 z^6 + a^7 z^7 - 11 a^9 z^7 - 
  19 a^11 z^7 + 7 a^15 z^7 + 2 a^8 z^8 + 5 a^10 z^8 + 10 a^12 z^8 + 
  7 a^14 z^8 + 3 a^9 z^9 + 7 a^11 z^9 + 4 a^13 z^9 + a^10 z^10 + 
  a^12 z^10, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z - 2 a^3 z + 
  6 a^5 z + 11 a^7 z + a^9 z - 2 a^11 z - 3 a^4 z^2 - 13 a^6 z^2 - 
  18 a^8 z^2 - 6 a^10 z^2 + a^12 z^2 - a^14 z^2 + 5 a^3 z^3 - 
  7 a^5 z^3 - 22 a^7 z^3 + a^9 z^3 + 8 a^11 z^3 - 3 a^13 z^3 + 
  11 a^4 z^4 + 26 a^6 z^4 + 39 a^8 z^4 + 18 a^10 z^4 - 5 a^12 z^4 + 
  a^14 z^4 - 4 a^3 z^5 + 11 a^5 z^5 + 35 a^7 z^5 + 6 a^9 z^5 - 
  11 a^11 z^5 + 3 a^13 z^5 - 11 a^4 z^6 - 21 a^6 z^6 - 33 a^8 z^6 - 
  18 a^10 z^6 + 5 a^12 z^6 + a^3 z^7 - 13 a^5 z^7 - 33 a^7 z^7 - 
  12 a^9 z^7 + 7 a^11 z^7 + 3 a^4 z^8 + a^6 z^8 + 6 a^8 z^8 + 
  8 a^10 z^8 + 4 a^5 z^9 + 10 a^7 z^9 + 6 a^9 z^9 + 2 a^6 z^10 + 
  2 a^8 z^10, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z + 5 a z + 
  9 a^3 z + 4 a^5 z - 2 z^2 - 8 a^2 z^2 - 12 a^4 z^2 - 5 a^6 z^2 + 
  a^8 z^2 + (5 z^3)/a + a z^3 - 15 a^3 z^3 - 7 a^5 z^3 + 4 a^7 z^3 + 
  9 z^4 - (3 z^4)/a^2 + 29 a^2 z^4 + 32 a^4 z^4 + 13 a^6 z^4 - 
  2 a^8 z^4 + z^5/a^3 - (15 z^5)/a - 9 a z^5 + 26 a^3 z^5 + 
  11 a^5 z^5 - 8 a^7 z^5 - 23 z^6 + (5 z^6)/a^2 - 48 a^2 z^6 - 
  38 a^4 z^6 - 17 a^6 z^6 + a^8 z^6 + (12 z^7)/a - 8 a z^7 - 
  40 a^3 z^7 - 16 a^5 z^7 + 4 a^7 z^7 + 16 z^8 + 19 a^2 z^8 + 
  11 a^4 z^8 + 8 a^6 z^8 + 12 a z^9 + 21 a^3 z^9 + 9 a^5 z^9 + 
  4 a^2 z^10 + 4 a^4 z^10, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z + 13 a z + 
  19 a^3 z - 6 a^7 z - 7 a^2 z^2 - 21 a^4 z^2 - 8 a^6 z^2 + 
  3 a^8 z^2 - 2 a^10 z^2 + a^12 z^2 - 28 a z^3 - 51 a^3 z^3 + 
  5 a^5 z^3 + 20 a^7 z^3 - 6 a^9 z^3 + 2 a^11 z^3 - a^2 z^4 + 
  37 a^4 z^4 + 23 a^6 z^4 - 12 a^8 z^4 + 3 a^10 z^4 + 23 a z^5 + 
  57 a^3 z^5 + 8 a^5 z^5 - 22 a^7 z^5 + 4 a^9 z^5 + 10 a^2 z^6 - 
  16 a^4 z^6 - 21 a^6 z^6 + 5 a^8 z^6 - 8 a z^7 - 26 a^3 z^7 - 
  12 a^5 z^7 + 6 a^7 z^7 - 6 a^2 z^8 - a^4 z^8 + 5 a^6 z^8 + a z^9 + 
  4 a^3 z^9 + 3 a^5 z^9 + a^2 z^10 + a^4 z^10, -1 + 1/(a z) + a/z - (
  6 z)/a - 4 a z + 6 a^3 z - 4 a^7 z + 2 z^2 + 10 a^2 z^2 + 
  3 a^4 z^2 + 3 a^8 z^2 - 2 a^10 z^2 + (11 z^3)/a + 5 a z^3 - 
  27 a^3 z^3 - 3 a^5 z^3 + 15 a^7 z^3 - 3 a^9 z^3 + 3 z^4 - 
  22 a^2 z^4 - 11 a^4 z^4 + 8 a^6 z^4 - 5 a^8 z^4 + a^10 z^4 - (
  6 z^5)/a + 26 a^3 z^5 + 7 a^5 z^5 - 11 a^7 z^5 + 2 a^9 z^5 - 
  4 z^6 + 14 a^2 z^6 + 8 a^4 z^6 - 7 a^6 z^6 + 3 a^8 z^6 + z^7/a - 
  3 a z^7 - 13 a^3 z^7 - 5 a^5 z^7 + 4 a^7 z^7 + z^8 - 5 a^2 z^8 - 
  3 a^4 z^8 + 3 a^6 z^8 + a z^9 + 3 a^3 z^9 + 2 a^5 z^9 + a^2 z^10 + 
  a^4 z^10, -a^4 + a^3/z + a^5/z - 3 a z - 5 a^3 z + a^5 z + 2 a^7 z +
   a^11 z + 2 z^2 - 6 a^4 z^2 - 13 a^6 z^2 - 7 a^8 z^2 + 2 a^10 z^2 + 
  8 a z^3 + 12 a^3 z^3 - a^5 z^3 - a^7 z^3 + 2 a^9 z^3 - 2 a^11 z^3 - 
  3 z^4 + 4 a^2 z^4 + 22 a^4 z^4 + 30 a^6 z^4 + 10 a^8 z^4 - 
  5 a^10 z^4 - 9 a z^5 - 11 a^3 z^5 + 5 a^5 z^5 - a^7 z^5 - 
  7 a^9 z^5 + a^11 z^5 + z^6 - 9 a^2 z^6 - 24 a^4 z^6 - 27 a^6 z^6 - 
  10 a^8 z^6 + 3 a^10 z^6 + 3 a z^7 - a^3 z^7 - 11 a^5 z^7 - 
  2 a^7 z^7 + 5 a^9 z^7 + 4 a^2 z^8 + 8 a^4 z^8 + 10 a^6 z^8 + 
  6 a^8 z^8 + 3 a^3 z^9 + 7 a^5 z^9 + 4 a^7 z^9 + a^4 z^10 + 
  a^6 z^10, -1 + 1/(a z) + a/z + z/a^3 - (3 z)/a - 8 a z - 4 a^3 z - 
  a^5 z - a^7 z + (2 z^2)/a^2 - 3 a^2 z^2 - 5 a^4 z^2 - 3 a^6 z^2 + 
  a^8 z^2 - (2 z^3)/a^3 + (4 z^3)/a + 15 a z^3 + 9 a^3 z^3 + 
  5 a^5 z^3 + 5 a^7 z^3 + 3 z^4 - (5 z^4)/a^2 + 21 a^2 z^4 + 
  24 a^4 z^4 + 9 a^6 z^4 - 2 a^8 z^4 + z^5/a^3 - (7 z^5)/a - 
  8 a z^5 + 4 a^3 z^5 - 5 a^5 z^5 - 9 a^7 z^5 - 7 z^6 + (3 z^6)/a^2 - 
  25 a^2 z^6 - 32 a^4 z^6 - 16 a^6 z^6 + a^8 z^6 + (5 z^7)/a - 
  2 a z^7 - 19 a^3 z^7 - 8 a^5 z^7 + 4 a^7 z^7 + 6 z^8 + 9 a^2 z^8 + 
  10 a^4 z^8 + 7 a^6 z^8 + 5 a z^9 + 11 a^3 z^9 + 6 a^5 z^9 + 
  2 a^2 z^10 + 2 a^4 z^10, -1 + 1/(a z) + a/z - (2 z)/a - 4 a z - 
  2 a^3 z - 7 z^2 - (3 z^2)/a^4 - (8 z^2)/a^2 + 2 a^4 z^2 + (2 z^3)/
  a^5 - (6 z^3)/a^3 - (6 z^3)/a + 14 a z^3 + 11 a^3 z^3 - a^5 z^3 + 
  32 z^4 + (14 z^4)/a^4 + (31 z^4)/a^2 + 7 a^2 z^4 - 7 a^4 z^4 + 
  a^6 z^4 - (3 z^5)/a^5 + (20 z^5)/a^3 + (30 z^5)/a - 17 a z^5 - 
  20 a^3 z^5 + 4 a^5 z^5 - 44 z^6 - (14 z^6)/a^4 - (28 z^6)/a^2 - 
  21 a^2 z^6 + 9 a^4 z^6 + z^7/a^5 - (20 z^7)/a^3 - (41 z^7)/a - 
  6 a z^7 + 14 a^3 z^7 + 12 z^8 + (4 z^8)/a^4 + (2 z^8)/a^2 + 
  14 a^2 z^8 + (6 z^9)/a^3 + (15 z^9)/a + 9 a z^9 + 3 z^10 + (3 z^10)/
  a^2, -1 + 1/(a z) + a/z - (2 z)/a^3 - (6 z)/a - 8 a z - 6 a^3 z - 
  2 a^5 z - 6 z^2 + z^2/a^4 - z^2/a^2 - 5 a^2 z^2 + a^4 z^2 + 
  2 a^6 z^2 + (7 z^3)/a^3 + (18 z^3)/a + 23 a z^3 + 20 a^3 z^3 + 
  7 a^5 z^3 - a^7 z^3 + 28 z^4 - (2 z^4)/a^4 + (8 z^4)/a^2 + 
  27 a^2 z^4 + 4 a^4 z^4 - 5 a^6 z^4 - (9 z^5)/a^3 - (18 z^5)/a - 
  20 a z^5 - 23 a^3 z^5 - 11 a^5 z^5 + a^7 z^5 - 42 z^6 + z^6/a^4 - (
  14 z^6)/a^2 - 43 a^2 z^6 - 12 a^4 z^6 + 4 a^6 z^6 + (4 z^7)/a^3 - (
  2 z^7)/a - 11 a z^7 + 3 a^3 z^7 + 8 a^5 z^7 + 16 z^8 + (7 z^8)/
  a^2 + 19 a^2 z^8 + 10 a^4 z^8 + (6 z^9)/a + 13 a z^9 + 7 a^3 z^9 + 
  2 z^10 + 2 a^2 z^10, -a^4 + a^3/z + a^5/z + (5 z)/a + 4 a z - 
  8 a^3 z - 5 a^5 z + a^7 z - a^9 z - 11 z^2 - (8 z^2)/a^2 - 
  9 a^2 z^2 - 3 a^4 z^2 + 2 a^6 z^2 - a^8 z^2 - (15 z^3)/a - 
  8 a z^3 + 18 a^3 z^3 + 8 a^5 z^3 - 2 a^7 z^3 + a^9 z^3 + 24 z^4 + (
  12 z^4)/a^2 + 29 a^2 z^4 + 10 a^4 z^4 - 5 a^6 z^4 + 2 a^8 z^4 + (
  20 z^5)/a + 23 a z^5 - 11 a^3 z^5 - 11 a^5 z^5 + 3 a^7 z^5 - 
  12 z^6 - (6 z^6)/a^2 - 24 a^2 z^6 - 14 a^4 z^6 + 4 a^6 z^6 - (
  11 z^7)/a - 21 a z^7 - 5 a^3 z^7 + 5 a^5 z^7 - z^8 + z^8/a^2 + 
  3 a^2 z^8 + 5 a^4 z^8 + (2 z^9)/a + 5 a z^9 + 3 a^3 z^9 + z^10 + 
  a^2 z^10, -a^4 + a^3/z + a^5/z + 3 a^3 z + 7 a^5 z + 2 a^7 z - 
  a^9 z + a^11 z - 4 a^2 z^2 - 11 a^4 z^2 - 16 a^6 z^2 - 4 a^8 z^2 + 
  5 a^10 z^2 - 18 a^3 z^3 - 29 a^5 z^3 + a^7 z^3 + 7 a^9 z^3 - 
  4 a^11 z^3 + a^13 z^3 + 8 a^2 z^4 + 25 a^4 z^4 + 43 a^6 z^4 + 
  10 a^8 z^4 - 13 a^10 z^4 + 3 a^12 z^4 + 28 a^3 z^5 + 55 a^5 z^5 + 
  2 a^7 z^5 - 19 a^9 z^5 + 6 a^11 z^5 - 5 a^2 z^6 - 8 a^4 z^6 - 
  33 a^6 z^6 - 21 a^8 z^6 + 9 a^10 z^6 - 16 a^3 z^7 - 40 a^5 z^7 - 
  14 a^7 z^7 + 10 a^9 z^7 + a^2 z^8 - 5 a^4 z^8 + 3 a^6 z^8 + 
  9 a^8 z^8 + 3 a^3 z^9 + 9 a^5 z^9 + 6 a^7 z^9 + 2 a^4 z^10 + 
  2 a^6 z^10, -1 + 1/(a z) + a/z - z/a^3 + 2 a z - a^5 z - 6 z^2 + 
  z^2/a^4 - z^2/a^2 - 8 a^2 z^2 - 3 a^4 z^2 + a^6 z^2 + (5 z^3)/a^3 - 
  10 a z^3 + a^3 z^3 + 5 a^5 z^3 - a^7 z^3 + 22 z^4 - (2 z^4)/a^4 + (
  7 z^4)/a^2 + 28 a^2 z^4 + 10 a^4 z^4 - 5 a^6 z^4 - (9 z^5)/a^3 + (
  3 z^5)/a + 27 a z^5 + 2 a^3 z^5 - 12 a^5 z^5 + a^7 z^5 - 27 z^6 + 
  z^6/a^4 - (15 z^6)/a^2 - 31 a^2 z^6 - 16 a^4 z^6 + 4 a^6 z^6 + (
  4 z^7)/a^3 - (12 z^7)/a - 33 a z^7 - 9 a^3 z^7 + 8 a^5 z^7 + 
  7 z^8 + (7 z^8)/a^2 + 10 a^2 z^8 + 10 a^4 z^8 + (7 z^9)/a + 
  15 a z^9 + 8 a^3 z^9 + 3 z^10 + 3 a^2 z^10, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z + (12 z)/a + 
  24 a z + 9 a^3 z - a^5 z + 2 a^7 z - 21 z^2 + (4 z^2)/a^4 - (7 z^2)/
  a^2 - 18 a^2 z^2 - 7 a^4 z^2 + a^6 z^2 + (4 z^3)/a^3 - (28 z^3)/a - 
  47 a z^3 - 10 a^3 z^3 + 2 a^5 z^3 - 3 a^7 z^3 + 26 z^4 - (4 z^4)/
  a^4 + (10 z^4)/a^2 + 30 a^2 z^4 + 14 a^4 z^4 - 4 a^6 z^4 - (6 z^5)/
  a^3 + (21 z^5)/a + 43 a z^5 + 10 a^3 z^5 - 5 a^5 z^5 + a^7 z^5 - 
  15 z^6 + z^6/a^4 - (9 z^6)/a^2 - 17 a^2 z^6 - 10 a^4 z^6 + 
  2 a^6 z^6 + (2 z^7)/a^3 - (10 z^7)/a - 21 a z^7 - 6 a^3 z^7 + 
  3 a^5 z^7 + 3 z^8 + (3 z^8)/a^2 + 4 a^2 z^8 + 4 a^4 z^8 + (3 z^9)/
  a + 6 a z^9 + 3 a^3 z^9 + z^10 + a^2 z^10, -1 + 1/(a z) + a/z + z/
  a^5 - z/a^3 - (6 z)/a - 6 a z - 3 a^3 z - a^5 z - 9 z^2 - z^2/a^6 + 
  z^2/a^4 - z^2/a^2 - 10 a^2 z^2 - 4 a^4 z^2 - (3 z^3)/a^5 + (4 z^3)/
  a^3 + (15 z^3)/a + 11 a z^3 + 6 a^3 z^3 + 3 a^5 z^3 + 37 z^4 + z^4/
  a^6 - (4 z^4)/a^4 + (8 z^4)/a^2 + 38 a^2 z^4 + 14 a^4 z^4 + (3 z^5)/
  a^5 - (8 z^5)/a^3 - (10 z^5)/a + 9 a z^5 + 5 a^3 z^5 - 3 a^5 z^5 - 
  41 z^6 + (5 z^6)/a^4 - (13 z^6)/a^2 - 37 a^2 z^6 - 14 a^4 z^6 + (
  7 z^7)/a^3 - (6 z^7)/a - 28 a z^7 - 14 a^3 z^7 + a^5 z^7 + 
  10 z^8 + (8 z^8)/a^2 + 6 a^2 z^8 + 4 a^4 z^8 + (6 z^9)/a + 
  11 a z^9 + 5 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z + (8 z)/a + 
  17 a z + 6 a^3 z - 2 a^5 z + a^7 z - 18 z^2 + (2 z^2)/a^4 - (7 z^2)/
  a^2 - 14 a^2 z^2 - 4 a^4 z^2 + a^6 z^2 + (4 z^3)/a^3 - (18 z^3)/a - 
  34 a z^3 - 7 a^3 z^3 + 3 a^5 z^3 - 2 a^7 z^3 + 29 z^4 - (3 z^4)/
  a^4 + (12 z^4)/a^2 + 28 a^2 z^4 + 9 a^4 z^4 - 5 a^6 z^4 - (8 z^5)/
  a^3 + (18 z^5)/a + 45 a z^5 + 10 a^3 z^5 - 8 a^5 z^5 + a^7 z^5 - 
  20 z^6 + z^6/a^4 - (14 z^6)/a^2 - 19 a^2 z^6 - 11 a^4 z^6 + 
  3 a^6 z^6 + (3 z^7)/a^3 - (14 z^7)/a - 31 a z^7 - 9 a^3 z^7 + 
  5 a^5 z^7 + 3 z^8 + (5 z^8)/a^2 + 4 a^2 z^8 + 6 a^4 z^8 + (5 z^9)/
  a + 10 a z^9 + 5 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) - z/a^7 + (
  2 z)/a^5 + (7 z)/a^3 + (3 z)/a - a z - 3 z^2 + (3 z^2)/a^8 - (
  3 z^2)/a^6 - (13 z^2)/a^4 - (10 z^2)/a^2 - z^3/a^9 + (8 z^3)/a^7 + (
  3 z^3)/a^5 - (10 z^3)/a^3 - z^3/a + 3 a z^3 + 12 z^4 + z^4/a^10 - (
  8 z^4)/a^8 + (6 z^4)/a^6 + (36 z^4)/a^4 + (33 z^4)/a^2 + (4 z^5)/
  a^9 - (17 z^5)/a^7 - (9 z^5)/a^5 + (28 z^5)/a^3 + (13 z^5)/a - 
  3 a z^5 - 13 z^6 + (9 z^6)/a^8 - (18 z^6)/a^6 - (45 z^6)/a^4 - (
  31 z^6)/a^2 + (13 z^7)/a^7 - (8 z^7)/a^5 - (40 z^7)/a^3 - (18 z^7)/
  a + a z^7 + 4 z^8 + (13 z^8)/a^6 + (12 z^8)/a^4 + (3 z^8)/a^2 + (
  9 z^9)/a^5 + (15 z^9)/a^3 + (6 z^9)/a + (3 z^10)/a^4 + (3 z^10)/a^2,
  a^2 + 3 a^4 + 3 a^6 - a^3/z - (3 a^5)/z - (2 a^7)/z + 3 a^3 z + 
  16 a^5 z + 8 a^7 z - 3 a^9 z + 2 a^11 z - 5 a^2 z^2 - 20 a^4 z^2 - 
  18 a^6 z^2 - a^8 z^2 + 2 a^10 z^2 - 16 a^3 z^3 - 39 a^5 z^3 - 
  10 a^7 z^3 + 7 a^9 z^3 - 5 a^11 z^3 + a^13 z^3 + 8 a^2 z^4 + 
  32 a^4 z^4 + 43 a^6 z^4 + 6 a^8 z^4 - 10 a^10 z^4 + 3 a^12 z^4 + 
  27 a^3 z^5 + 62 a^5 z^5 + 12 a^7 z^5 - 17 a^9 z^5 + 6 a^11 z^5 - 
  5 a^2 z^6 - 10 a^4 z^6 - 31 a^6 z^6 - 18 a^8 z^6 + 8 a^10 z^6 - 
  16 a^3 z^7 - 42 a^5 z^7 - 17 a^7 z^7 + 9 a^9 z^7 + a^2 z^8 - 
  5 a^4 z^8 + 2 a^6 z^8 + 8 a^8 z^8 + 3 a^3 z^9 + 9 a^5 z^9 + 
  6 a^7 z^9 + 2 a^4 z^10 + 2 a^6 z^10, -a^8 + a^7/z + a^9/z - 
  5 a^7 z + 3 a^9 z + 7 a^11 z + a^13 z + 2 a^15 z + a^8 z^2 - 
  16 a^10 z^2 - 18 a^12 z^2 + a^16 z^2 + 8 a^7 z^3 - 9 a^9 z^3 - 
  12 a^11 z^3 + 7 a^13 z^3 - a^15 z^3 - 3 a^17 z^3 + 5 a^8 z^4 + 
  38 a^10 z^4 + 42 a^12 z^4 + a^14 z^4 - 7 a^16 z^4 + a^18 z^4 - 
  5 a^7 z^5 + 13 a^9 z^5 + 18 a^11 z^5 - 12 a^13 z^5 - 8 a^15 z^5 + 
  4 a^17 z^5 - 7 a^8 z^6 - 29 a^10 z^6 - 37 a^12 z^6 - 8 a^14 z^6 + 
  7 a^16 z^6 + a^7 z^7 - 11 a^9 z^7 - 20 a^11 z^7 + 8 a^15 z^7 + 
  2 a^8 z^8 + 5 a^10 z^8 + 10 a^12 z^8 + 7 a^14 z^8 + 3 a^9 z^9 + 
  7 a^11 z^9 + 4 a^13 z^9 + a^10 z^10 + a^12 z^10, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z + (3 z)/a + 
  9 a z + 4 a^3 z - 2 a^5 z - 13 z^2 + z^2/a^4 - (3 z^2)/a^2 - 
  13 a^2 z^2 - 4 a^4 z^2 + (4 z^3)/a^3 - (7 z^3)/a - 19 a z^3 - 
  a^3 z^3 + 6 a^5 z^3 - a^7 z^3 + 27 z^4 - (2 z^4)/a^4 + (9 z^4)/
  a^2 + 34 a^2 z^4 + 13 a^4 z^4 - 5 a^6 z^4 - (9 z^5)/a^3 + (9 z^5)/
  a + 37 a z^5 + 5 a^3 z^5 - 13 a^5 z^5 + a^7 z^5 - 27 z^6 + z^6/
  a^4 - (16 z^6)/a^2 - 32 a^2 z^6 - 18 a^4 z^6 + 4 a^6 z^6 + (4 z^7)/
  a^3 - (14 z^7)/a - 37 a z^7 - 11 a^3 z^7 + 8 a^5 z^7 + 6 z^8 + (
  7 z^8)/a^2 + 9 a^2 z^8 + 10 a^4 z^8 + (7 z^9)/a + 15 a z^9 + 
  8 a^3 z^9 + 3 z^10 + 3 a^2 z^10, -a^4 + a^3/z + a^5/z - z/a^3 - (
  2 z)/a - 4 a z - 9 a^3 z - 5 a^5 z + a^7 z - 6 z^2 + z^2/a^4 - (
  2 z^2)/a^2 - 6 a^2 z^2 - 2 a^4 z^2 + a^6 z^2 + (6 z^3)/a^3 + (
  8 z^3)/a + 13 a z^3 + 21 a^3 z^3 + 8 a^5 z^3 - 2 a^7 z^3 + 
  24 z^4 - (2 z^4)/a^4 + (9 z^4)/a^2 + 27 a^2 z^4 + 10 a^4 z^4 - 
  4 a^6 z^4 - (9 z^5)/a^3 - (10 z^5)/a - 7 a z^5 - 16 a^3 z^5 - 
  9 a^5 z^5 + a^7 z^5 - 36 z^6 + z^6/a^4 - (15 z^6)/a^2 - 
  35 a^2 z^6 - 12 a^4 z^6 + 3 a^6 z^6 + (4 z^7)/a^3 - (5 z^7)/a - 
  15 a z^7 + 6 a^5 z^7 + 13 z^8 + (7 z^8)/a^2 + 14 a^2 z^8 + 
  8 a^4 z^8 + (6 z^9)/a + 12 a z^9 + 6 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 a^2 + 3 a^4 + 3 a^6 - a^3/z - (3 a^5)/z - (2 a^7)/z - a z - a^3 z + 
  12 a^5 z + 6 a^7 z - 6 a^9 z + z^2 - 2 a^2 z^2 - 17 a^4 z^2 - 
  15 a^6 z^2 - a^8 z^2 + 6 a z^3 + 7 a^3 z^3 - 16 a^5 z^3 - 
  3 a^7 z^3 + 13 a^9 z^3 - a^11 z^3 - 2 z^4 + 8 a^2 z^4 + 
  36 a^4 z^4 + 39 a^6 z^4 + 10 a^8 z^4 - 3 a^10 z^4 - 9 a z^5 - 
  5 a^3 z^5 + 20 a^5 z^5 - a^7 z^5 - 16 a^9 z^5 + a^11 z^5 + z^6 - 
  14 a^2 z^6 - 39 a^4 z^6 - 48 a^6 z^6 - 20 a^8 z^6 + 4 a^10 z^6 + 
  4 a z^7 - 8 a^3 z^7 - 31 a^5 z^7 - 9 a^7 z^7 + 10 a^9 z^7 + 
  7 a^2 z^8 + 12 a^4 z^8 + 18 a^6 z^8 + 13 a^8 z^8 + 7 a^3 z^9 + 
  17 a^5 z^9 + 10 a^7 z^9 + 3 a^4 z^10 + 3 a^6 z^10, -a^8 + a^7/z + 
  a^9/z + a^5 z - 6 a^7 z - 3 a^9 z + a^11 z - 2 a^13 z + a^15 z + 
  a^6 z^2 + 3 a^8 z^2 - 11 a^10 z^2 - 15 a^12 z^2 - 2 a^14 z^2 - 
  2 a^5 z^3 + 10 a^7 z^3 + 9 a^9 z^3 + 7 a^11 z^3 + 14 a^13 z^3 + 
  4 a^15 z^3 - 4 a^6 z^4 + a^8 z^4 + 36 a^10 z^4 + 43 a^12 z^4 + 
  11 a^14 z^4 - a^16 z^4 + a^5 z^5 - 10 a^7 z^5 - 7 a^9 z^5 - 
  3 a^11 z^5 - 17 a^13 z^5 - 10 a^15 z^5 + 3 a^6 z^6 - 7 a^8 z^6 - 
  40 a^10 z^6 - 51 a^12 z^6 - 20 a^14 z^6 + a^16 z^6 + 6 a^7 z^7 - 
  2 a^9 z^7 - 18 a^11 z^7 - 5 a^13 z^7 + 5 a^15 z^7 + 7 a^8 z^8 + 
  15 a^10 z^8 + 17 a^12 z^8 + 9 a^14 z^8 + 6 a^9 z^9 + 13 a^11 z^9 + 
  7 a^13 z^9 + 2 a^10 z^10 + 2 a^12 z^10, 
 3 a^10 + 3 a^12 + a^14 - (2 a^9)/z - (3 a^11)/z - a^13/z + a^5 z - 
  4 a^7 z + 8 a^9 z + 14 a^11 z - a^15 z + a^6 z^2 + a^8 z^2 - 
  12 a^10 z^2 - 15 a^12 z^2 - 2 a^14 z^2 + a^16 z^2 - 2 a^5 z^3 + 
  9 a^7 z^3 - 8 a^9 z^3 - 19 a^11 z^3 + 6 a^13 z^3 + 6 a^15 z^3 - 
  4 a^6 z^4 + 3 a^8 z^4 + 28 a^10 z^4 + 31 a^12 z^4 + 8 a^14 z^4 - 
  2 a^16 z^4 + a^5 z^5 - 10 a^7 z^5 + 4 a^9 z^5 + 16 a^11 z^5 - 
  8 a^13 z^5 - 9 a^15 z^5 + 3 a^6 z^6 - 8 a^8 z^6 - 31 a^10 z^6 - 
  36 a^12 z^6 - 15 a^14 z^6 + a^16 z^6 + 6 a^7 z^7 - 5 a^9 z^7 - 
  21 a^11 z^7 - 6 a^13 z^7 + 4 a^15 z^7 + 7 a^8 z^8 + 12 a^10 z^8 + 
  12 a^12 z^8 + 7 a^14 z^8 + 6 a^9 z^9 + 12 a^11 z^9 + 6 a^13 z^9 + 
  2 a^10 z^10 + 2 a^12 z^10, -a^4 + a^3/z + a^5/z - 2 a z - 4 a^3 z + 
  a^7 z + a^11 z + z^2 - 2 a^2 z^2 - 9 a^4 z^2 - 15 a^6 z^2 - 
  7 a^8 z^2 + 2 a^10 z^2 + 6 a z^3 + 11 a^3 z^3 + 2 a^5 z^3 + 
  a^9 z^3 - 2 a^11 z^3 - 2 z^4 + 7 a^2 z^4 + 33 a^4 z^4 + 
  42 a^6 z^4 + 13 a^8 z^4 - 5 a^10 z^4 - 9 a z^5 - 11 a^3 z^5 + 
  9 a^5 z^5 + 4 a^7 z^5 - 6 a^9 z^5 + a^11 z^5 + z^6 - 15 a^2 z^6 - 
  39 a^4 z^6 - 38 a^6 z^6 - 12 a^8 z^6 + 3 a^10 z^6 + 4 a z^7 - 
  6 a^3 z^7 - 22 a^5 z^7 - 7 a^7 z^7 + 5 a^9 z^7 + 7 a^2 z^8 + 
  12 a^4 z^8 + 12 a^6 z^8 + 7 a^8 z^8 + 6 a^3 z^9 + 12 a^5 z^9 + 
  6 a^7 z^9 + 2 a^4 z^10 + 2 a^6 z^10, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) - (2 z)/
  a^7 + (6 z)/a^5 + (17 z)/a^3 + (7 z)/a - 2 a z - 3 z^2 - z^2/
  a^10 + (4 z^2)/a^8 - (6 z^2)/a^6 - (18 z^2)/a^4 - (10 z^2)/a^2 - (
  2 z^3)/a^9 + (9 z^3)/a^7 - (13 z^3)/a^5 - (35 z^3)/a^3 - (6 z^3)/
  a + 5 a z^3 + 11 z^4 + z^4/a^10 - (7 z^4)/a^8 + (12 z^4)/a^6 + (
  33 z^4)/a^4 + (24 z^4)/a^2 + (3 z^5)/a^9 - (12 z^5)/a^7 + (11 z^5)/
  a^5 + (41 z^5)/a^3 + (11 z^5)/a - 4 a z^5 - 11 z^6 + (6 z^6)/a^8 - (
  14 z^6)/a^6 - (29 z^6)/a^4 - (20 z^6)/a^2 + (8 z^7)/a^7 - (11 z^7)/
  a^5 - (33 z^7)/a^3 - (13 z^7)/a + a z^7 + 3 z^8 + (8 z^8)/a^6 + (
  6 z^8)/a^4 + z^8/a^2 + (6 z^9)/a^5 + (10 z^9)/a^3 + (4 z^9)/a + (
  2 z^10)/a^4 + (2 z^10)/a^2, -1 + 1/(a z) + a/z - z/a^7 + (3 z)/
  a^5 + (2 z)/a^3 - (8 z)/a - 5 a z + a^3 z - 3 z^2 + (2 z^2)/a^8 - (
  5 z^2)/a^6 - (7 z^2)/a^4 - (4 z^2)/a^2 + a^2 z^2 + (5 z^3)/a^7 - (
  8 z^3)/a^5 - (6 z^3)/a^3 + (17 z^3)/a + 8 a z^3 - 2 a^3 z^3 + 
  6 z^4 - (3 z^4)/a^8 + (11 z^4)/a^6 + (20 z^4)/a^4 + (16 z^4)/a^2 - 
  4 a^2 z^4 - (8 z^5)/a^7 + (10 z^5)/a^5 + (17 z^5)/a^3 - (12 z^5)/
  a - 10 a z^5 + a^3 z^5 - 10 z^6 + z^6/a^8 - (13 z^6)/a^6 - (20 z^6)/
  a^4 - (19 z^6)/a^2 + 3 a^2 z^6 + (3 z^7)/a^7 - (11 z^7)/a^5 - (
  21 z^7)/a^3 - z^7/a + 6 a z^7 + 7 z^8 + (5 z^8)/a^6 + (5 z^8)/
  a^4 + (7 z^8)/a^2 + (5 z^9)/a^5 + (10 z^9)/a^3 + (5 z^9)/a + (
  2 z^10)/a^4 + (2 z^10)/a^2, -1 - a^2 - 3 a^4 - 3 a^6 - a^8 + 2/(
  a z) + (5 a)/z + (6 a^3)/z + (4 a^5)/z + a^7/z - (7 z)/a - 24 a z - 
  31 a^3 z - 18 a^5 z - 4 a^7 z + z^2/a^2 + 6 a^4 z^2 + 8 a^6 z^2 + 
  3 a^8 z^2 - z^3/a^3 + (12 z^3)/a + 47 a z^3 + 60 a^3 z^3 + 
  34 a^5 z^3 + 8 a^7 z^3 + 4 z^4 - (4 z^4)/a^2 + 19 a^2 z^4 + 
  10 a^4 z^4 - 4 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (15 z^5)/a - 
  45 a z^5 - 50 a^3 z^5 - 29 a^5 z^5 - 8 a^7 z^5 - 13 z^6 + (4 z^6)/
  a^2 - 38 a^2 z^6 - 27 a^4 z^6 - 5 a^6 z^6 + a^8 z^6 + (9 z^7)/a + 
  12 a z^7 + 6 a^3 z^7 + 6 a^5 z^7 + 3 a^7 z^7 + 10 z^8 + 
  19 a^2 z^8 + 13 a^4 z^8 + 4 a^6 z^8 + 5 a z^9 + 8 a^3 z^9 + 
  3 a^5 z^9 + a^2 z^10 + a^4 z^10, -a^4 - a^6 - 3 a^8 - 3 a^10 - 
  a^12 + (2 a^3)/z + (5 a^5)/z + (6 a^7)/z + (4 a^9)/z + a^11/z + 
  a z - 7 a^3 z - 23 a^5 z - 29 a^7 z - 18 a^9 z - 4 a^11 z + 
  a^2 z^2 + 7 a^8 z^2 + 9 a^10 z^2 + 3 a^12 z^2 - 2 a z^3 + 
  10 a^3 z^3 + 41 a^5 z^3 + 52 a^7 z^3 + 31 a^9 z^3 + 8 a^11 z^3 - 
  4 a^2 z^4 + 5 a^4 z^4 + 15 a^6 z^4 + 4 a^8 z^4 - 5 a^10 z^4 - 
  3 a^12 z^4 + a z^5 - 10 a^3 z^5 - 33 a^5 z^5 - 41 a^7 z^5 - 
  27 a^9 z^5 - 8 a^11 z^5 + 3 a^2 z^6 - 9 a^4 z^6 - 28 a^6 z^6 - 
  22 a^8 z^6 - 5 a^10 z^6 + a^12 z^6 + 6 a^3 z^7 + 8 a^5 z^7 + 
  4 a^7 z^7 + 5 a^9 z^7 + 3 a^11 z^7 + 7 a^4 z^8 + 14 a^6 z^8 + 
  11 a^8 z^8 + 4 a^10 z^8 + 4 a^5 z^9 + 7 a^7 z^9 + 3 a^9 z^9 + 
  a^6 z^10 + a^8 z^10, -8 a^4 - 14 a^6 - 9 a^8 - 2 a^10 + (4 a^3)/
  z + (8 a^5)/z + (5 a^7)/z + a^9/z - 2 a z - 14 a^3 z - 21 a^5 z - 
  9 a^7 z + a^9 z + a^11 z + z^2 + 2 a^2 z^2 + 13 a^4 z^2 + 
  29 a^6 z^2 + 22 a^8 z^2 + 5 a^10 z^2 + 8 a z^3 + 25 a^3 z^3 + 
  33 a^5 z^3 + 16 a^7 z^3 - 2 a^9 z^3 - 2 a^11 z^3 - 2 z^4 + 
  3 a^2 z^4 + 5 a^4 z^4 - 12 a^6 z^4 - 18 a^8 z^4 - 6 a^10 z^4 - 
  10 a z^5 - 24 a^3 z^5 - 27 a^5 z^5 - 17 a^7 z^5 - 3 a^9 z^5 + 
  a^11 z^5 + z^6 - 12 a^2 z^6 - 26 a^4 z^6 - 13 a^6 z^6 + 3 a^8 z^6 + 
  3 a^10 z^6 + 4 a z^7 + 2 a^3 z^7 + 6 a^7 z^7 + 4 a^9 z^7 + 
  6 a^2 z^8 + 12 a^4 z^8 + 10 a^6 z^8 + 4 a^8 z^8 + 4 a^3 z^9 + 
  7 a^5 z^9 + 3 a^7 z^9 + a^4 z^10 + a^6 z^10, -2 - 8 a^2 - 13 a^4 - 
  8 a^6 - 2 a^8 + (2 a)/z + (7 a^3)/z + (7 a^5)/z + (2 a^7)/z - z/a - 
  4 a z - 15 a^3 z - 16 a^5 z - 4 a^7 z + 4 z^2 + (2 z^2)/a^2 + 
  13 a^2 z^2 + 24 a^4 z^2 + 18 a^6 z^2 + 5 a^8 z^2 - z^3/a^3 + (
  4 z^3)/a + 9 a z^3 + 15 a^3 z^3 + 17 a^5 z^3 + 6 a^7 z^3 - 2 z^4 - (
  6 z^4)/a^2 + 2 a^2 z^4 - 11 a^4 z^4 - 13 a^6 z^4 - 4 a^8 z^4 + z^5/
  a^3 - (11 z^5)/a - 12 a z^5 - 5 a^3 z^5 - 11 a^5 z^5 - 6 a^7 z^5 - 
  8 z^6 + (4 z^6)/a^2 - 16 a^2 z^6 - 5 a^4 z^6 + a^8 z^6 + (7 z^7)/
  a + 2 a z^7 - 6 a^3 z^7 + a^5 z^7 + 2 a^7 z^7 + 7 z^8 + 9 a^2 z^8 + 
  4 a^4 z^8 + 2 a^6 z^8 + 4 a z^9 + 6 a^3 z^9 + 2 a^5 z^9 + a^2 z^10 +
   a^4 z^10, -3 - 1/a^4 - 3/a^2 - a^2 - a^4 + 1/(a^3 z) + 4/(a z) + (
  6 a)/z + (5 a^3)/z + (2 a^5)/z - (4 z)/a^3 - (19 z)/a - 29 a z - 
  21 a^3 z - 7 a^5 z + 4 z^2 + (3 z^2)/a^4 + (9 z^2)/a^2 - 3 a^2 z^2 -
   a^4 z^2 - z^3/a^5 + (11 z^3)/a^3 + (40 z^3)/a + 50 a z^3 + 
  31 a^3 z^3 + 9 a^5 z^3 + 18 z^4 + z^4/a^6 - (8 z^4)/a^4 - (5 z^4)/
  a^2 + 21 a^2 z^4 + 7 a^4 z^4 + (4 z^5)/a^5 - (19 z^5)/a^3 - (
  42 z^5)/a - 30 a z^5 - 16 a^3 z^5 - 5 a^5 z^5 - 38 z^6 + (9 z^6)/
  a^4 - (12 z^6)/a^2 - 24 a^2 z^6 - 7 a^4 z^6 + (13 z^7)/a^3 + (
  9 z^7)/a - 6 a z^7 - a^3 z^7 + a^5 z^7 + 15 z^8 + (11 z^8)/a^2 + 
  6 a^2 z^8 + 2 a^4 z^8 + (5 z^9)/a + 7 a z^9 + 2 a^3 z^9 + z^10 + 
  a^2 z^10, -1 - 1/a^8 - 3/a^6 - 3/a^4 - 1/a^2 + 1/(a^7 z) + 4/(
  a^5 z) + 6/(a^3 z) + 5/(a z) + (2 a)/z - (6 z)/a^7 - (20 z)/a^5 - (
  29 z)/a^3 - (22 z)/a - 7 a z - z^2 - z^2/a^10 + (4 z^2)/a^8 + (
  9 z^2)/a^6 + (6 z^2)/a^4 + z^2/a^2 - (2 z^3)/a^9 + (15 z^3)/a^7 + (
  41 z^3)/a^5 + (48 z^3)/a^3 + (33 z^3)/a + 9 a z^3 + 7 z^4 + z^4/
  a^10 - (6 z^4)/a^8 - (3 z^4)/a^6 + (10 z^4)/a^4 + (13 z^4)/a^2 + (
  3 z^5)/a^9 - (15 z^5)/a^7 - (37 z^5)/a^5 - (31 z^5)/a^3 - (17 z^5)/
  a - 5 a z^5 - 7 z^6 + (6 z^6)/a^8 - (9 z^6)/a^6 - (28 z^6)/a^4 - (
  20 z^6)/a^2 + (9 z^7)/a^7 + (7 z^7)/a^5 - (4 z^7)/a^3 - z^7/a + 
  a z^7 + 2 z^8 + (8 z^8)/a^6 + (11 z^8)/a^4 + (5 z^8)/a^2 + (4 z^9)/
  a^5 + (6 z^9)/a^3 + (2 z^9)/a + z^10/a^4 + z^10/a^2, -(2/a^10) - 9/
  a^8 - 14/a^6 - 8/a^4 + 1/(a^9 z) + 5/(a^7 z) + 8/(a^5 z) + 4/(
  a^3 z) + z/a^11 + (3 z)/a^9 - (7 z)/a^7 - (21 z)/a^5 - (12 z)/
  a^3 + (2 z^2)/a^12 + (3 z^2)/a^10 + (20 z^2)/a^8 + (33 z^2)/a^6 + (
  14 z^2)/a^4 - (2 z^3)/a^13 + (4 z^3)/a^11 - (5 z^3)/a^9 + (3 z^3)/
  a^7 + (27 z^3)/a^5 + (13 z^3)/a^3 + z^4/a^14 - (8 z^4)/a^12 - (
  11 z^4)/a^8 - (25 z^4)/a^6 - (5 z^4)/a^4 + (4 z^5)/a^13 - (13 z^5)/
  a^11 - (5 z^5)/a^9 + (3 z^5)/a^7 - (15 z^5)/a^5 - (6 z^5)/a^3 + (
  8 z^6)/a^12 - (9 z^6)/a^10 - (10 z^6)/a^8 + (5 z^6)/a^6 - (2 z^6)/
  a^4 + (10 z^7)/a^11 - (10 z^7)/a^7 + z^7/a^5 + z^7/a^3 + (8 z^8)/
  a^10 + (6 z^8)/a^8 - z^8/a^6 + z^8/a^4 + (4 z^9)/a^9 + (5 z^9)/a^7 +
   z^9/a^5 + z^10/a^8 + z^10/a^6, -a^4 + a^3/z + a^5/z - (2 z)/a - 
  7 a z - 10 a^3 z - 3 a^5 z + 2 a^7 z + 2 z^2 + (2 z^2)/a^2 - 
  3 a^2 z^2 - a^4 z^2 + 2 a^6 z^2 - z^3/a^3 + (6 z^3)/a + 18 a z^3 + 
  17 a^3 z^3 + 6 a^5 z^3 + 5 z^4 - (5 z^4)/a^2 + 33 a^2 z^4 + 
  33 a^4 z^4 + 10 a^6 z^4 + z^5/a^3 - (10 z^5)/a - 11 a z^5 + 
  2 a^3 z^5 - 6 a^5 z^5 - 8 a^7 z^5 - 13 z^6 + (4 z^6)/a^2 - 
  49 a^2 z^6 - 59 a^4 z^6 - 26 a^6 z^6 + a^8 z^6 + (8 z^7)/a - 
  6 a z^7 - 36 a^3 z^7 - 16 a^5 z^7 + 6 a^7 z^7 + 11 z^8 + 
  18 a^2 z^8 + 20 a^4 z^8 + 13 a^6 z^8 + 10 a z^9 + 22 a^3 z^9 + 
  12 a^5 z^9 + 4 a^2 z^10 + 4 a^4 z^10, -1 + 1/(a z) + a/z - (2 z)/
  a^3 - (2 z)/a - 2 a^3 z - 2 a^5 z - 11 z^2 + z^2/a^4 - (3 z^2)/
  a^2 - 14 a^2 z^2 - 6 a^4 z^2 + a^6 z^2 + (6 z^3)/a^3 + (8 z^3)/a + 
  5 a z^3 + 12 a^3 z^3 + 8 a^5 z^3 - a^7 z^3 + 38 z^4 - (2 z^4)/
  a^4 + (11 z^4)/a^2 + 46 a^2 z^4 + 17 a^4 z^4 - 4 a^6 z^4 - (8 z^5)/
  a^3 - (8 z^5)/a - 13 a^3 z^5 - 12 a^5 z^5 + a^7 z^5 - 50 z^6 + z^6/
  a^4 - (16 z^6)/a^2 - 58 a^2 z^6 - 21 a^4 z^6 + 4 a^6 z^6 + (4 z^7)/
  a^3 - (8 z^7)/a - 26 a z^7 - 5 a^3 z^7 + 9 a^5 z^7 + 17 z^8 + (
  8 z^8)/a^2 + 22 a^2 z^8 + 13 a^4 z^8 + (8 z^9)/a + 18 a z^9 + 
  10 a^3 z^9 + 3 z^10 + 3 a^2 z^10, -a^4 + a^3/z + a^5/z - (2 z)/
  a^3 - (5 z)/a - 4 a z - 5 a^3 z - 4 a^5 z - 11 z^2 + (2 z^2)/a^4 - (
  2 z^2)/a^2 - 9 a^2 z^2 - 2 a^4 z^2 - z^3/a^5 + (11 z^3)/a^3 + (
  21 z^3)/a + 14 a z^3 + 11 a^3 z^3 + 6 a^5 z^3 + 40 z^4 + z^4/a^6 - (
  7 z^4)/a^4 + (10 z^4)/a^2 + 32 a^2 z^4 + 10 a^4 z^4 + (4 z^5)/
  a^5 - (20 z^5)/a^3 - (26 z^5)/a + a z^5 - a^3 z^5 - 4 a^5 z^5 - 
  53 z^6 + (9 z^6)/a^4 - (22 z^6)/a^2 - 32 a^2 z^6 - 10 a^4 z^6 + (
  14 z^7)/a^3 - z^7/a - 25 a z^7 - 9 a^3 z^7 + a^5 z^7 + 17 z^8 + (
  14 z^8)/a^2 + 6 a^2 z^8 + 3 a^4 z^8 + (8 z^9)/a + 12 a z^9 + 
  4 a^3 z^9 + 2 z^10 + 2 a^2 z^10, -1 + 1/(a z) + a/z - (3 z)/a - 
  4 a z - a^7 z - 2 z^2 - 4 a^2 z^2 - 7 a^4 z^2 - 4 a^6 z^2 + 
  a^8 z^2 + (7 z^3)/a + 13 a z^3 + 3 a^3 z^3 + 2 a^5 z^3 + 
  5 a^7 z^3 + 12 z^4 - (2 z^4)/a^2 + 33 a^2 z^4 + 33 a^4 z^4 + 
  12 a^6 z^4 - 2 a^8 z^4 + z^5/a^3 - (16 z^5)/a - 19 a z^5 + 
  9 a^3 z^5 + 3 a^5 z^5 - 8 a^7 z^5 - 27 z^6 + (5 z^6)/a^2 - 
  59 a^2 z^6 - 44 a^4 z^6 - 16 a^6 z^6 + a^8 z^6 + (13 z^7)/a - 
  6 a z^7 - 36 a^3 z^7 - 13 a^5 z^7 + 4 a^7 z^7 + 18 z^8 + 
  24 a^2 z^8 + 14 a^4 z^8 + 8 a^6 z^8 + 13 a z^9 + 22 a^3 z^9 + 
  9 a^5 z^9 + 4 a^2 z^10 + 4 a^4 z^10, -a^4 + a^3/z + a^5/z - 2 a z - 
  8 a^3 z - 7 a^5 z - 2 a^7 z - a^9 z + z^2 - a^2 z^2 - 5 a^4 z^2 - 
  6 a^6 z^2 - 3 a^8 z^2 + 7 a z^3 + 18 a^3 z^3 + 19 a^5 z^3 + 
  13 a^7 z^3 + 5 a^9 z^3 - 2 z^4 + 7 a^2 z^4 + 31 a^4 z^4 + 
  36 a^6 z^4 + 11 a^8 z^4 - 3 a^10 z^4 - 9 a z^5 - 13 a^3 z^5 - 
  8 a^5 z^5 - 20 a^7 z^5 - 15 a^9 z^5 + a^11 z^5 + z^6 - 13 a^2 z^6 - 
  43 a^4 z^6 - 58 a^6 z^6 - 24 a^8 z^6 + 5 a^10 z^6 + 4 a z^7 - 
  5 a^3 z^7 - 24 a^5 z^7 - 3 a^7 z^7 + 12 a^9 z^7 + 7 a^2 z^8 + 
  15 a^4 z^8 + 24 a^6 z^8 + 16 a^8 z^8 + 7 a^3 z^9 + 18 a^5 z^9 + 
  11 a^7 z^9 + 3 a^4 z^10 + 3 a^6 z^10, -1 + 1/(a z) + a/z - (5 z)/
  a^3 - (10 z)/a - 6 a z - 2 a^3 z - a^5 z - 10 z^2 + (3 z^2)/a^4 - 
  z^2/a^2 - 11 a^2 z^2 - 5 a^4 z^2 + (16 z^3)/a^3 + (29 z^3)/a + 
  14 a z^3 + 4 a^3 z^3 + 3 a^5 z^3 + 49 z^4 + z^4/a^6 - (7 z^4)/
  a^4 + (12 z^4)/a^2 + 43 a^2 z^4 + 14 a^4 z^4 + (4 z^5)/a^5 - (
  25 z^5)/a^3 - (32 z^5)/a + 9 a z^5 + 9 a^3 z^5 - 3 a^5 z^5 - 
  68 z^6 + (10 z^6)/a^4 - (29 z^6)/a^2 - 42 a^2 z^6 - 13 a^4 z^6 + (
  17 z^7)/a^3 - (4 z^7)/a - 38 a z^7 - 16 a^3 z^7 + a^5 z^7 + 
  21 z^8 + (18 z^8)/a^2 + 7 a^2 z^8 + 4 a^4 z^8 + (11 z^9)/a + 
  17 a z^9 + 6 a^3 z^9 + 3 z^10 + 3 a^2 z^10, -1 + 1/(a z) + a/z - (
  4 z)/a - 6 a z - 4 a^3 z - 6 a^5 z - 4 a^7 z - 2 z^2 - 6 a^2 z^2 - 
  12 a^4 z^2 - 5 a^6 z^2 + 2 a^8 z^2 - a^10 z^2 + (6 z^3)/a + 
  12 a z^3 + 11 a^3 z^3 + 23 a^5 z^3 + 16 a^7 z^3 - 2 a^9 z^3 + 
  10 z^4 + 26 a^2 z^4 + 39 a^4 z^4 + 17 a^6 z^4 - 5 a^8 z^4 + 
  a^10 z^4 - (4 z^5)/a - 2 a z^5 + 2 a^3 z^5 - 20 a^5 z^5 - 
  17 a^7 z^5 + 3 a^9 z^5 - 10 z^6 - 29 a^2 z^6 - 46 a^4 z^6 - 
  21 a^6 z^6 + 6 a^8 z^6 + z^7/a - 9 a z^7 - 24 a^3 z^7 - 4 a^5 z^7 + 
  10 a^7 z^7 + 3 z^8 + 5 a^2 z^8 + 13 a^4 z^8 + 11 a^6 z^8 + 
  4 a z^9 + 11 a^3 z^9 + 7 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 a^6 - a^5/z - a^7/z - 3 a^3 z + 5 a^5 z + 9 a^7 z + 2 a^9 z + 
  3 a^11 z + 2 a^13 z - 2 a^4 z^2 - 3 a^6 z^2 - 4 a^8 z^2 - 
  a^10 z^2 - 2 a^14 z^2 + 7 a^3 z^3 - 5 a^5 z^3 - 26 a^7 z^3 - 
  10 a^9 z^3 - 4 a^13 z^3 + 10 a^4 z^4 + 5 a^6 z^4 + 3 a^8 z^4 + 
  5 a^10 z^4 - 2 a^12 z^4 + a^14 z^4 - 5 a^3 z^5 + 8 a^5 z^5 + 
  30 a^7 z^5 + 13 a^9 z^5 - 2 a^11 z^5 + 2 a^13 z^5 - 9 a^4 z^6 - 
  3 a^6 z^6 - 4 a^10 z^6 + 2 a^12 z^6 + a^3 z^7 - 8 a^5 z^7 - 
  18 a^7 z^7 - 7 a^9 z^7 + 2 a^11 z^7 + 2 a^4 z^8 - 2 a^6 z^8 - 
  2 a^8 z^8 + 2 a^10 z^8 + 2 a^5 z^9 + 4 a^7 z^9 + 2 a^9 z^9 + 
  a^6 z^10 + a^8 z^10, 
 a^2 - a/z - a^3/z - (3 z)/a + 2 a z + 10 a^3 z + 3 a^5 z - 2 a^7 z - 
  4 z^2 + z^2/a^2 - 6 a^2 z^2 - 4 a^4 z^2 + a^6 z^2 + 4 a^8 z^2 - (
  2 z^3)/a^3 + (9 z^3)/a + 3 a z^3 - 27 a^3 z^3 - 12 a^5 z^3 + 
  7 a^7 z^3 + 12 z^4 - (6 z^4)/a^2 + 16 a^2 z^4 + 2 a^4 z^4 - 
  4 a^8 z^4 + z^5/a^3 - (12 z^5)/a + a z^5 + 30 a^3 z^5 + 9 a^5 z^5 - 
  7 a^7 z^5 - 12 z^6 + (3 z^6)/a^2 - 11 a^2 z^6 - a^4 z^6 - 
  4 a^6 z^6 + a^8 z^6 + (5 z^7)/a - 4 a z^7 - 16 a^3 z^7 - 
  5 a^5 z^7 + 2 a^7 z^7 + 5 z^8 + 3 a^2 z^8 + 2 a^6 z^8 + 3 a z^9 + 
  5 a^3 z^9 + 2 a^5 z^9 + a^2 z^10 + a^4 z^10, 
 a^6 - a^5/z - a^7/z + a z - 3 a^3 z + 2 a^5 z + 4 a^7 z - 6 a^9 z - 
  4 a^11 z + a^2 z^2 - 2 a^4 z^2 + a^6 z^2 + 4 a^8 z^2 + 4 a^10 z^2 + 
  4 a^12 z^2 - 2 a z^3 + 5 a^3 z^3 + 2 a^5 z^3 - 11 a^7 z^3 + 
  2 a^9 z^3 + 8 a^11 z^3 - 5 a^2 z^4 + 5 a^4 z^4 + 5 a^6 z^4 - 
  4 a^8 z^4 - 3 a^10 z^4 - 4 a^12 z^4 + a z^5 - 9 a^3 z^5 - 
  3 a^5 z^5 + 15 a^7 z^5 + a^9 z^5 - 7 a^11 z^5 + 3 a^2 z^6 - 
  8 a^4 z^6 - 8 a^6 z^6 - a^8 z^6 - 3 a^10 z^6 + a^12 z^6 + 
  5 a^3 z^7 - a^5 z^7 - 11 a^7 z^7 - 3 a^9 z^7 + 2 a^11 z^7 + 
  5 a^4 z^8 + 4 a^6 z^8 + a^8 z^8 + 2 a^10 z^8 + 3 a^5 z^9 + 
  5 a^7 z^9 + 2 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 1/a^2 - 1/(a^3 z) - 1/(a z) + z/a^7 + (3 z)/a^3 + (9 z)/a + 5 a z - 
  10 z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 - (7 z^2)/a^2 - 6 a^2 z^2 + 
  z^3/a^9 - (4 z^3)/a^7 + (2 z^3)/a^5 + z^3/a^3 - (25 z^3)/a - 
  19 a z^3 + 20 z^4 + (3 z^4)/a^8 - (7 z^4)/a^6 + (4 z^4)/a^4 + (
  23 z^4)/a^2 + 11 a^2 z^4 + (5 z^5)/a^7 - (10 z^5)/a^5 - (2 z^5)/
  a^3 + (37 z^5)/a + 24 a z^5 - 8 z^6 + (6 z^6)/a^6 - (11 z^6)/a^4 - (
  19 z^6)/a^2 - 6 a^2 z^6 + (6 z^7)/a^5 - (6 z^7)/a^3 - (24 z^7)/a - 
  12 a z^7 - 2 z^8 + (5 z^8)/a^4 + (2 z^8)/a^2 + a^2 z^8 + (3 z^9)/
  a^3 + (5 z^9)/a + 2 a z^9 + z^10 + z^10/a^2, 
 1/a^2 - 1/(a^3 z) - 1/(a z) - (3 z)/a^5 - z/a^3 + (5 z)/a + 2 a z - 
  a^3 z - 5 z^2 + (2 z^2)/a^6 - z^2/a^4 - (5 z^2)/a^2 - a^2 z^2 + 
  2 a^4 z^2 - (2 z^3)/a^7 + (9 z^3)/a^5 + (9 z^3)/a^3 - (12 z^3)/a - 
  3 a z^3 + 7 a^3 z^3 + 11 z^4 - (6 z^4)/a^6 + (7 z^4)/a^4 + (15 z^4)/
  a^2 + 6 a^2 z^4 - 3 a^4 z^4 + z^5/a^7 - (11 z^5)/a^5 - (7 z^5)/
  a^3 + (14 z^5)/a - 9 a^3 z^5 - 14 z^6 + (3 z^6)/a^6 - (9 z^6)/
  a^4 - (15 z^6)/a^2 - 10 a^2 z^6 + a^4 z^6 + (5 z^7)/a^5 - (12 z^7)/
  a - 4 a z^7 + 3 a^3 z^7 + 5 z^8 + (5 z^8)/a^4 + (6 z^8)/a^2 + 
  4 a^2 z^8 + (3 z^9)/a^3 + (6 z^9)/a + 3 a z^9 + z^10 + z^10/a^2, 
 1/a^6 - 1/(a^7 z) - 1/(a^5 z) - z/a^15 - z/a^13 + z/a^11 + (3 z)/
  a^9 + (13 z)/a^7 + (11 z)/a^5 + z^2/a^16 - z^2/a^14 + z^2/a^10 - (
  3 z^2)/a^8 - (2 z^2)/a^6 + (2 z^3)/a^15 - (2 z^3)/a^13 + (2 z^3)/
  a^11 - (11 z^3)/a^9 - (42 z^3)/a^7 - (25 z^3)/a^5 + (2 z^4)/a^14 - (
  4 z^4)/a^12 + (6 z^4)/a^10 + (3 z^4)/a^8 - (9 z^4)/a^6 + (2 z^5)/
  a^13 - (6 z^5)/a^11 + (18 z^5)/a^9 + (48 z^5)/a^7 + (22 z^5)/a^5 + (
  2 z^6)/a^12 - (8 z^6)/a^10 + (5 z^6)/a^8 + (15 z^6)/a^6 + (2 z^7)/
  a^11 - (11 z^7)/a^9 - (21 z^7)/a^7 - (8 z^7)/a^5 + (2 z^8)/a^10 - (
  5 z^8)/a^8 - (7 z^8)/a^6 + (2 z^9)/a^9 + (3 z^9)/a^7 + z^9/a^5 + 
  z^10/a^8 + z^10/a^6, 
 1/a^6 - 1/(a^7 z) - 1/(a^5 z) + z/a^13 - (2 z)/a^9 + (5 z)/a^7 + (
  2 z)/a^5 - (4 z)/a^3 - z^2/a^14 + (2 z^2)/a^12 + (3 z^2)/a^10 + (
  2 z^2)/a^8 - (2 z^2)/a^4 - (3 z^3)/a^13 + (4 z^3)/a^11 + (3 z^3)/
  a^9 - (9 z^3)/a^7 + (3 z^3)/a^5 + (8 z^3)/a^3 + z^4/a^14 - (5 z^4)/
  a^12 - (2 z^4)/a^10 - z^4/a^8 + (4 z^4)/a^6 + (9 z^4)/a^4 + (3 z^5)/
  a^13 - (7 z^5)/a^11 - (6 z^5)/a^9 + (9 z^5)/a^7 - (5 z^5)/a^3 + (
  5 z^6)/a^12 - (4 z^6)/a^10 - (9 z^6)/a^8 - (8 z^6)/a^6 - (8 z^6)/
  a^4 + (6 z^7)/a^11 - (12 z^7)/a^7 - (5 z^7)/a^5 + z^7/a^3 + (5 z^8)/
  a^10 + (4 z^8)/a^8 + z^8/a^6 + (2 z^8)/a^4 + (3 z^9)/a^9 + (5 z^9)/
  a^7 + (2 z^9)/a^5 + z^10/a^8 + z^10/a^6, 
 1/a^6 - 1/(a^7 z) - 1/(a^5 z) + z/a^13 + (2 z)/a^11 + z/a^9 + (6 z)/
  a^7 + (3 z)/a^5 - (3 z)/a^3 - z^2/a^14 - z^2/a^10 - (6 z^2)/a^8 - (
  8 z^2)/a^6 - (4 z^2)/a^4 - (4 z^3)/a^13 - (2 z^3)/a^11 - (6 z^3)/
  a^9 - (17 z^3)/a^7 - (2 z^3)/a^5 + (7 z^3)/a^3 + z^4/a^14 - (4 z^4)/
  a^12 + (6 z^4)/a^10 + (16 z^4)/a^8 + (16 z^4)/a^6 + (11 z^4)/a^4 + (
  3 z^5)/a^13 - (3 z^5)/a^11 + (9 z^5)/a^9 + (25 z^5)/a^7 + (5 z^5)/
  a^5 - (5 z^5)/a^3 + (4 z^6)/a^12 - (7 z^6)/a^10 - (13 z^6)/a^8 - (
  11 z^6)/a^6 - (9 z^6)/a^4 + (4 z^7)/a^11 - (7 z^7)/a^9 - (19 z^7)/
  a^7 - (7 z^7)/a^5 + z^7/a^3 + (4 z^8)/a^10 + (2 z^8)/a^8 + (2 z^8)/
  a^4 + (3 z^9)/a^9 + (5 z^9)/a^7 + (2 z^9)/a^5 + z^10/a^8 + z^10/a^6,
  1/a^6 - 1/(a^7 z) - 1/(a^5 z) - (2 z)/a^11 - (3 z)/a^9 + (5 z)/
  a^7 + (3 z)/a^5 - (2 z)/a^3 + z/a + (2 z^2)/a^12 + z^2/a^10 - z^2/
  a^6 + (2 z^2)/a^2 + (8 z^3)/a^11 + (6 z^3)/a^9 - (6 z^3)/a^7 + (
  3 z^3)/a^5 + (5 z^3)/a^3 - (2 z^3)/a - (3 z^4)/a^12 + (4 z^4)/
  a^10 + (5 z^4)/a^8 + (4 z^4)/a^6 + z^4/a^4 - (5 z^4)/a^2 - (9 z^5)/
  a^11 - (6 z^5)/a^9 + (3 z^5)/a^7 - (9 z^5)/a^5 - (8 z^5)/a^3 + z^5/
  a + z^6/a^12 - (9 z^6)/a^10 - (13 z^6)/a^8 - (11 z^6)/a^6 - (5 z^6)/
  a^4 + (3 z^6)/a^2 + (3 z^7)/a^11 - (2 z^7)/a^9 - (7 z^7)/a^7 + (
  3 z^7)/a^5 + (5 z^7)/a^3 + (4 z^8)/a^10 + (6 z^8)/a^8 + (7 z^8)/
  a^6 + (5 z^8)/a^4 + (3 z^9)/a^9 + (6 z^9)/a^7 + (3 z^9)/a^5 + z^10/
  a^8 + z^10/a^6, 
 1/a^2 - 1/(a^3 z) - 1/(a z) + z/a^9 + (5 z)/a^5 + (14 z)/a^3 + (7 z)/
  a - a z - 4 z^2 - (2 z^2)/a^10 + z^2/a^8 - z^2/a^6 - (5 z^2)/a^4 - (
  5 z^2)/a^2 - (4 z^3)/a^9 + (4 z^3)/a^7 - (15 z^3)/a^5 - (43 z^3)/
  a^3 - (14 z^3)/a + 6 a z^3 + 13 z^4 + z^4/a^10 - (3 z^4)/a^8 + (
  8 z^4)/a^6 + (5 z^4)/a^4 + (6 z^4)/a^2 + (2 z^5)/a^9 - (4 z^5)/
  a^7 + (18 z^5)/a^5 + (45 z^5)/a^3 + (16 z^5)/a - 5 a z^5 - 
  10 z^6 + (2 z^6)/a^8 - (6 z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2 z^7)/
  a^7 - (9 z^7)/a^5 - (22 z^7)/a^3 - (10 z^7)/a + a z^7 + 2 z^8 + (
  2 z^8)/a^6 - (3 z^8)/a^4 - (3 z^8)/a^2 + (2 z^9)/a^5 + (4 z^9)/
  a^3 + (2 z^9)/a + z^10/a^4 + z^10/a^2, 
 a^2 - a/z - a^3/z - z/a^3 + (6 z)/a + 14 a z + 6 a^3 z + a^7 z - 
  6 z^2 + (3 z^2)/a^4 - z^2/a^2 - 6 a^2 z^2 - a^4 z^2 + 3 a^6 z^2 + (
  7 z^3)/a^3 - (16 z^3)/a - 42 a z^3 - 14 a^3 z^3 + 2 a^5 z^3 - 
  3 a^7 z^3 + 6 z^4 - (4 z^4)/a^4 + (5 z^4)/a^2 + 9 a^2 z^4 + 
  6 a^4 z^4 - 6 a^6 z^4 - (8 z^5)/a^3 + (16 z^5)/a + 48 a z^5 + 
  18 a^3 z^5 - 5 a^5 z^5 + a^7 z^5 + z^6 + z^6/a^4 - (7 z^6)/a^2 + 
  a^2 z^6 - 6 a^4 z^6 + 2 a^6 z^6 + (2 z^7)/a^3 - (9 z^7)/a - 
  22 a z^7 - 9 a^3 z^7 + 2 a^5 z^7 - 3 z^8 + (2 z^8)/a^2 - 
  3 a^2 z^8 + 2 a^4 z^8 + (2 z^9)/a + 4 a z^9 + 2 a^3 z^9 + z^10 + 
  a^2 z^10, 
 a^2 - a/z - a^3/z - (3 z)/a^3 + z/a + 10 a z + 4 a^3 z - 2 a^5 z - 
  5 z^2 - z^2/a^6 + (2 z^2)/a^4 - z^2/a^2 - 6 a^2 z^2 - 5 a^4 z^2 - (
  3 z^3)/a^5 + (9 z^3)/a^3 + z^3/a - 23 a z^3 - 5 a^3 z^3 + 
  7 a^5 z^3 + 11 z^4 + z^4/a^6 - (6 z^4)/a^4 + (6 z^4)/a^2 + 
  10 a^2 z^4 + 12 a^4 z^4 + (3 z^5)/a^5 - (10 z^5)/a^3 - z^5/a + 
  24 a z^5 + 7 a^3 z^5 - 5 a^5 z^5 - 12 z^6 + (5 z^6)/a^4 - (8 z^6)/
  a^2 - 8 a^2 z^6 - 9 a^4 z^6 + (6 z^7)/a^3 - (3 z^7)/a - 17 a z^7 - 
  7 a^3 z^7 + a^5 z^7 + 3 z^8 + (5 z^8)/a^2 + 2 a^4 z^8 + (3 z^9)/a + 
  5 a z^9 + 2 a^3 z^9 + z^10 + a^2 z^10, 
 a^6 - a^5/z - a^7/z + 5 a^3 z + 15 a^5 z + 8 a^7 z - a^9 z - 
  a^13 z - 4 a^2 z^2 - 6 a^4 z^2 - 7 a^6 z^2 - 2 a^8 z^2 + a^10 z^2 - 
  2 a^12 z^2 - 21 a^3 z^3 - 42 a^5 z^3 - 16 a^7 z^3 + 3 a^9 z^3 - 
  a^11 z^3 + a^13 z^3 + 10 a^2 z^4 + 10 a^4 z^4 + 9 a^6 z^4 + 
  5 a^8 z^4 - 2 a^10 z^4 + 2 a^12 z^4 + 27 a^3 z^5 + 48 a^5 z^5 + 
  15 a^7 z^5 - 4 a^9 z^5 + 2 a^11 z^5 - 6 a^2 z^6 - 2 a^6 z^6 - 
  6 a^8 z^6 + 2 a^10 z^6 - 13 a^3 z^7 - 24 a^5 z^7 - 9 a^7 z^7 + 
  2 a^9 z^7 + a^2 z^8 - 4 a^4 z^8 - 3 a^6 z^8 + 2 a^8 z^8 + 
  2 a^3 z^9 + 4 a^5 z^9 + 2 a^7 z^9 + a^4 z^10 + a^6 z^10, 
 a^6 - a^5/z - a^7/z - a z + 9 a^5 z + 7 a^7 z + a^9 z + 2 a^11 z + 
  z^2 - 2 a^2 z^2 - 6 a^4 z^2 - 7 a^6 z^2 - a^8 z^2 + 3 a^10 z^2 + 
  7 a z^3 - a^3 z^3 - 24 a^5 z^3 - 15 a^7 z^3 - 2 a^9 z^3 - 
  3 a^11 z^3 - 3 z^4 + 10 a^2 z^4 + 17 a^4 z^4 + 10 a^6 z^4 + 
  a^8 z^4 - 5 a^10 z^4 - 10 a z^5 + 5 a^3 z^5 + 31 a^5 z^5 + 
  13 a^7 z^5 - 2 a^9 z^5 + a^11 z^5 + z^6 - 13 a^2 z^6 - 13 a^4 z^6 - 
  3 a^6 z^6 - 2 a^8 z^6 + 2 a^10 z^6 + 3 a z^7 - 8 a^3 z^7 - 
  18 a^5 z^7 - 5 a^7 z^7 + 2 a^9 z^7 + 4 a^2 z^8 + 2 a^4 z^8 + 
  2 a^8 z^8 + 3 a^3 z^9 + 5 a^5 z^9 + 2 a^7 z^9 + a^4 z^10 + a^6 z^10,
  a^2 - a/z - a^3/z - (2 z)/a + 5 a z + 9 a^3 z - 4 a^5 z - 6 a^7 z - 
  3 z^2 + 2 a^6 z^2 + 3 a^8 z^2 - 2 a^10 z^2 + (7 z^3)/a - 8 a z^3 - 
  27 a^3 z^3 + 7 a^5 z^3 + 16 a^7 z^3 - 3 a^9 z^3 + 11 z^4 - 
  2 a^2 z^4 - 2 a^4 z^4 + 5 a^6 z^4 - 5 a^8 z^4 + a^10 z^4 - (5 z^5)/
  a + 10 a z^5 + 27 a^3 z^5 - a^5 z^5 - 11 a^7 z^5 + 2 a^9 z^5 - 
  9 z^6 - 6 a^6 z^6 + 3 a^8 z^6 + z^7/a - 8 a z^7 - 16 a^3 z^7 - 
  3 a^5 z^7 + 4 a^7 z^7 + 2 z^8 - 2 a^2 z^8 - a^4 z^8 + 3 a^6 z^8 + 
  2 a z^9 + 4 a^3 z^9 + 2 a^5 z^9 + a^2 z^10 + a^4 z^10, 
 a^6 - a^5/z - a^7/z - a z - 3 a^3 z + 2 a^5 z - 4 a^9 z + 2 z^2 + 
  3 a^2 z^2 - 5 a^6 z^2 - 4 a^8 z^2 - (2 z^3)/a + 6 a z^3 + 
  13 a^3 z^3 + 4 a^5 z^3 + 7 a^7 z^3 + 8 a^9 z^3 - 8 z^4 + z^4/a^2 - 
  4 a^2 z^4 + 9 a^4 z^4 + 14 a^6 z^4 + 10 a^8 z^4 + (4 z^5)/a - 
  13 a z^5 - 20 a^3 z^5 - a^5 z^5 - 3 a^7 z^5 - 5 a^9 z^5 + 8 z^6 - 
  7 a^2 z^6 - 22 a^4 z^6 - 15 a^6 z^6 - 8 a^8 z^6 + 10 a z^7 + 
  4 a^3 z^7 - 11 a^5 z^7 - 4 a^7 z^7 + a^9 z^7 + 8 a^2 z^8 + 
  9 a^4 z^8 + 3 a^6 z^8 + 2 a^8 z^8 + 4 a^3 z^9 + 6 a^5 z^9 + 
  2 a^7 z^9 + a^4 z^10 + a^6 z^10, 
 1/a^6 - 1/(a^7 z) - 1/(a^5 z) - (3 z)/a^11 - (3 z)/a^9 + (8 z)/
  a^7 + (6 z)/a^5 + (2 z)/a + (3 z^2)/a^12 + z^2/a^10 - (2 z^2)/
  a^8 - (5 z^2)/a^6 - (3 z^2)/a^4 + (2 z^2)/a^2 + (8 z^3)/a^11 - z^3/
  a^9 - (23 z^3)/a^7 - (12 z^3)/a^5 - z^3/a^3 - (3 z^3)/a - (4 z^4)/
  a^12 + (2 z^4)/a^10 + (5 z^4)/a^8 + (8 z^4)/a^6 + (4 z^4)/a^4 - (
  5 z^4)/a^2 - (8 z^5)/a^11 + (7 z^5)/a^9 + (33 z^5)/a^7 + (14 z^5)/
  a^5 - (3 z^5)/a^3 + z^5/a + z^6/a^12 - (6 z^6)/a^10 - z^6/a^8 - (
  4 z^6)/a^4 + (2 z^6)/a^2 + (2 z^7)/a^11 - (7 z^7)/a^9 - (18 z^7)/
  a^7 - (7 z^7)/a^5 + (2 z^7)/a^3 + (2 z^8)/a^10 - (2 z^8)/a^8 - (
  2 z^8)/a^6 + (2 z^8)/a^4 + (2 z^9)/a^9 + (4 z^9)/a^7 + (2 z^9)/a^5 +
   z^10/a^8 + z^10/a^6, 
 a^2 - a/z - a^3/z + 9 a z + 11 a^3 z - 2 a^5 z - 2 a^7 z + 2 a^9 z + 
  2 a^2 z^2 - 3 a^4 z^2 + 2 a^8 z^2 - 2 a^10 z^2 + a^12 z^2 - 
  24 a z^3 - 37 a^3 z^3 + 5 a^5 z^3 + 9 a^7 z^3 - 7 a^9 z^3 + 
  2 a^11 z^3 - 13 a^2 z^4 + 7 a^4 z^4 + 8 a^6 z^4 - 9 a^8 z^4 + 
  3 a^10 z^4 + 22 a z^5 + 44 a^3 z^5 + 5 a^5 z^5 - 13 a^7 z^5 + 
  4 a^9 z^5 + 16 a^2 z^6 + a^4 z^6 - 11 a^6 z^6 + 4 a^8 z^6 - 
  8 a z^7 - 20 a^3 z^7 - 8 a^5 z^7 + 4 a^7 z^7 - 7 a^2 z^8 - 
  4 a^4 z^8 + 3 a^6 z^8 + a z^9 + 3 a^3 z^9 + 2 a^5 z^9 + a^2 z^10 + 
  a^4 z^10, 
 a^2 - a/z - a^3/z - (2 z)/a + a z + 5 a^3 z - 2 a^7 z - 2 z^2 + z^2/
  a^2 - 6 a^2 z^2 - 8 a^4 z^2 - 3 a^6 z^2 + 2 a^8 z^2 - z^3/a^3 + (
  7 z^3)/a + 7 a z^3 - 9 a^3 z^3 - 2 a^5 z^3 + 6 a^7 z^3 + 6 z^4 - (
  5 z^4)/a^2 + 22 a^2 z^4 + 23 a^4 z^4 + 9 a^6 z^4 - 3 a^8 z^4 + z^5/
  a^3 - (13 z^5)/a - 11 a z^5 + 16 a^3 z^5 + 5 a^5 z^5 - 8 a^7 z^5 - 
  13 z^6 + (4 z^6)/a^2 - 28 a^2 z^6 - 24 a^4 z^6 - 12 a^6 z^6 + 
  a^8 z^6 + (8 z^7)/a - a z^7 - 21 a^3 z^7 - 9 a^5 z^7 + 3 a^7 z^7 + 
  9 z^8 + 11 a^2 z^8 + 7 a^4 z^8 + 5 a^6 z^8 + 6 a z^9 + 11 a^3 z^9 + 
  5 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 a^6 - a^5/z - a^7/z + 7 a^3 z + 18 a^5 z + 9 a^7 z + a^11 z - 
  a^13 z - 6 a^2 z^2 - 12 a^4 z^2 - 16 a^6 z^2 - 5 a^8 z^2 + 
  4 a^10 z^2 - a^12 z^2 - 20 a^3 z^3 - 40 a^5 z^3 - 15 a^7 z^3 + 
  2 a^9 z^3 - 2 a^11 z^3 + a^13 z^3 + 11 a^2 z^4 + 23 a^4 z^4 + 
  29 a^6 z^4 + 9 a^8 z^4 - 6 a^10 z^4 + 2 a^12 z^4 + 24 a^3 z^5 + 
  46 a^5 z^5 + 12 a^7 z^5 - 7 a^9 z^5 + 3 a^11 z^5 - 6 a^2 z^6 - 
  9 a^4 z^6 - 18 a^6 z^6 - 11 a^8 z^6 + 4 a^10 z^6 - 12 a^3 z^7 - 
  26 a^5 z^7 - 10 a^7 z^7 + 4 a^9 z^7 + a^2 z^8 - 2 a^4 z^8 + 
  a^6 z^8 + 4 a^8 z^8 + 2 a^3 z^9 + 5 a^5 z^9 + 3 a^7 z^9 + a^4 z^10 +
   a^6 z^10, 
 a^2 - a/z - a^3/z - z/a^3 + (6 z)/a + 14 a z + 6 a^3 z + a^7 z - 
  10 z^2 + (2 z^2)/a^4 - (4 z^2)/a^2 - 10 a^2 z^2 - 4 a^4 z^2 + 
  2 a^6 z^2 + (5 z^3)/a^3 - (13 z^3)/a - 32 a z^3 - 10 a^3 z^3 + 
  2 a^5 z^3 - 2 a^7 z^3 + 22 z^4 - (3 z^4)/a^4 + (10 z^4)/a^2 + 
  21 a^2 z^4 + 7 a^4 z^4 - 5 a^6 z^4 - (8 z^5)/a^3 + (13 z^5)/a + 
  38 a z^5 + 9 a^3 z^5 - 7 a^5 z^5 + a^7 z^5 - 19 z^6 + z^6/a^4 - (
  13 z^6)/a^2 - 17 a^2 z^6 - 9 a^4 z^6 + 3 a^6 z^6 + (3 z^7)/a^3 - (
  12 z^7)/a - 27 a z^7 - 7 a^3 z^7 + 5 a^5 z^7 + 4 z^8 + (5 z^8)/
  a^2 + 5 a^2 z^8 + 6 a^4 z^8 + (5 z^9)/a + 10 a z^9 + 5 a^3 z^9 + 
  2 z^10 + 2 a^2 z^10, 
 a^6 - a^5/z - a^7/z - 2 a z - a^3 z + 8 a^5 z + 4 a^7 z - a^9 z + 
  2 a^11 z + 2 z^2 - a^2 z^2 - 7 a^4 z^2 - 14 a^6 z^2 - 9 a^8 z^2 + 
  a^10 z^2 + 7 a z^3 + 2 a^3 z^3 - 13 a^5 z^3 - 3 a^7 z^3 + 
  2 a^9 z^3 - 3 a^11 z^3 - 3 z^4 + 5 a^2 z^4 + 18 a^4 z^4 + 
  29 a^6 z^4 + 15 a^8 z^4 - 4 a^10 z^4 - 9 a z^5 - 3 a^3 z^5 + 
  18 a^5 z^5 + 6 a^7 z^5 - 5 a^9 z^5 + a^11 z^5 + z^6 - 10 a^2 z^6 - 
  18 a^4 z^6 - 19 a^6 z^6 - 10 a^8 z^6 + 2 a^10 z^6 + 3 a z^7 - 
  4 a^3 z^7 - 15 a^5 z^7 - 5 a^7 z^7 + 3 a^9 z^7 + 4 a^2 z^8 + 
  5 a^4 z^8 + 5 a^6 z^8 + 4 a^8 z^8 + 3 a^3 z^9 + 6 a^5 z^9 + 
  3 a^7 z^9 + a^4 z^10 + a^6 z^10, 
 1/a^2 - 1/(a^3 z) - 1/(a z) + z/a^9 + z/a^7 + (4 z)/a^5 + (9 z)/
  a^3 + (4 z)/a - a z - 4 z^2 - z^2/a^10 + (2 z^2)/a^8 - (6 z^2)/
  a^4 - (7 z^2)/a^2 - (3 z^3)/a^9 + z^3/a^7 - (11 z^3)/a^5 - (27 z^3)/
  a^3 - (8 z^3)/a + 4 a z^3 + 13 z^4 + z^4/a^10 - (5 z^4)/a^8 + (
  3 z^4)/a^6 + (16 z^4)/a^4 + (20 z^4)/a^2 + (3 z^5)/a^9 - (6 z^5)/
  a^7 + (11 z^5)/a^5 + (40 z^5)/a^3 + (16 z^5)/a - 4 a z^5 - 
  12 z^6 + (5 z^6)/a^8 - (8 z^6)/a^6 - (16 z^6)/a^4 - (15 z^6)/a^2 + (
  6 z^7)/a^7 - (10 z^7)/a^5 - (32 z^7)/a^3 - (15 z^7)/a + a z^7 + 
  3 z^8 + (6 z^8)/a^6 + (2 z^8)/a^4 - z^8/a^2 + (5 z^9)/a^5 + (9 z^9)/
  a^3 + (4 z^9)/a + (2 z^10)/a^4 + (2 z^10)/a^2, 
 1/a^2 - 1/(a^3 z) - 1/(a z) + (6 z)/a^5 + (8 z)/a^3 - (2 z)/a - 
  3 a z + a^3 z - z^2 - (8 z^2)/a^6 - (15 z^2)/a^4 - (13 z^2)/a^2 + 
  5 a^2 z^2 - (17 z^3)/a^5 - (14 z^3)/a^3 + (18 z^3)/a + 10 a z^3 - 
  4 a^3 z^3 + a^5 z^3 + 5 z^4 + (12 z^4)/a^6 + (31 z^4)/a^4 + (
  40 z^4)/a^2 - 13 a^2 z^4 + 3 a^4 z^4 + (21 z^5)/a^5 + (28 z^5)/
  a^3 - (19 z^5)/a - 20 a z^5 + 6 a^3 z^5 - 17 z^6 - (6 z^6)/a^6 - (
  16 z^6)/a^4 - (36 z^6)/a^2 + 9 a^2 z^6 - (11 z^7)/a^5 - (24 z^7)/
  a^3 - (3 z^7)/a + 10 a z^7 + 8 z^8 + z^8/a^6 + (7 z^8)/a^2 + (
  2 z^9)/a^5 + (6 z^9)/a^3 + (4 z^9)/a + z^10/a^4 + z^10/a^2, 
 a^2 - a/z - a^3/z - (2 z)/a + a z + 5 a^3 z - 2 a^7 z - 5 z^2 - 
  8 a^2 z^2 - 6 a^4 z^2 + 3 a^8 z^2 + (5 z^3)/a + 2 a z^3 - 
  3 a^3 z^3 + 11 a^5 z^3 + 10 a^7 z^3 - a^9 z^3 + 13 z^4 + 
  27 a^2 z^4 + 25 a^4 z^4 + 2 a^6 z^4 - 8 a^8 z^4 + a^10 z^4 - (
  4 z^5)/a + 6 a z^5 + 11 a^3 z^5 - 21 a^5 z^5 - 18 a^7 z^5 + 
  4 a^9 z^5 - 11 z^6 - 26 a^2 z^6 - 39 a^4 z^6 - 15 a^6 z^6 + 
  9 a^8 z^6 + z^7/a - 11 a z^7 - 25 a^3 z^7 + 13 a^7 z^7 + 3 z^8 + 
  4 a^2 z^8 + 13 a^4 z^8 + 12 a^6 z^8 + 4 a z^9 + 11 a^3 z^9 + 
  7 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 a^2 - a/z - a^3/z - (2 z)/a + 2 a z + 4 a^3 z - 5 a^5 z - 5 a^7 z - 
  4 z^2 - 6 a^2 z^2 - 7 a^4 z^2 - a^6 z^2 + 3 a^8 z^2 - a^10 z^2 + (
  5 z^3)/a - a z^3 - 8 a^3 z^3 + 14 a^5 z^3 + 14 a^7 z^3 - 
  2 a^9 z^3 + 12 z^4 + 21 a^2 z^4 + 25 a^4 z^4 + 9 a^6 z^4 - 
  6 a^8 z^4 + a^10 z^4 - (4 z^5)/a + 8 a z^5 + 19 a^3 z^5 - 
  11 a^5 z^5 - 15 a^7 z^5 + 3 a^9 z^5 - 11 z^6 - 21 a^2 z^6 - 
  31 a^4 z^6 - 15 a^6 z^6 + 6 a^8 z^6 + z^7/a - 12 a z^7 - 
  27 a^3 z^7 - 5 a^5 z^7 + 9 a^7 z^7 + 3 z^8 + 2 a^2 z^8 + 
  8 a^4 z^8 + 9 a^6 z^8 + 4 a z^9 + 10 a^3 z^9 + 6 a^5 z^9 + 
  2 a^2 z^10 + 2 a^4 z^10, 
 1/a^2 - 1/(a^3 z) - 1/(a z) - (3 z)/a^5 - z/a^3 + (5 z)/a + 2 a z - 
  a^3 z - 9 z^2 + z^2/a^6 - (4 z^2)/a^4 - (9 z^2)/a^2 - 4 a^2 z^2 + 
  a^4 z^2 - z^3/a^7 + (9 z^3)/a^5 + (13 z^3)/a^3 - (2 z^3)/a + 
  5 a^3 z^3 + 31 z^4 - (4 z^4)/a^6 + (12 z^4)/a^4 + (33 z^4)/a^2 + 
  12 a^2 z^4 - 2 a^4 z^4 + z^5/a^7 - (13 z^5)/a^5 - (15 z^5)/a^3 + (
  7 z^5)/a - 8 a^3 z^5 - 42 z^6 + (4 z^6)/a^6 - (18 z^6)/a^4 - (
  46 z^6)/a^2 - 17 a^2 z^6 + a^4 z^6 + (9 z^7)/a^5 - (3 z^7)/a^3 - (
  27 z^7)/a - 11 a z^7 + 4 a^3 z^7 + 14 z^8 + (12 z^8)/a^4 + (18 z^8)/
  a^2 + 8 a^2 z^8 + (9 z^9)/a^3 + (17 z^9)/a + 8 a z^9 + 3 z^10 + (
  3 z^10)/a^2, 
 a^2 - a/z - a^3/z - z/a^3 + (3 z)/a + 9 a z + 5 a^3 z + a^5 z + 
  a^7 z - 10 z^2 + z^2/a^4 - (5 z^2)/a^2 - 6 a^2 z^2 + a^4 z^2 + 
  3 a^6 z^2 + (5 z^3)/a^3 - (10 z^3)/a - 30 a z^3 - 14 a^3 z^3 - 
  a^5 z^3 - 2 a^7 z^3 + 26 z^4 - (3 z^4)/a^4 + (14 z^4)/a^2 + 
  12 a^2 z^4 - 3 a^4 z^4 - 6 a^6 z^4 - (9 z^5)/a^3 + (18 z^5)/a + 
  47 a z^5 + 14 a^3 z^5 - 5 a^5 z^5 + a^7 z^5 - 17 z^6 + z^6/a^4 - (
  16 z^6)/a^2 - 6 a^2 z^6 - 3 a^4 z^6 + 3 a^6 z^6 + (3 z^7)/a^3 - (
  16 z^7)/a - 31 a z^7 - 8 a^3 z^7 + 4 a^5 z^7 + z^8 + (5 z^8)/a^2 + 
  4 a^4 z^8 + (5 z^9)/a + 9 a z^9 + 4 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 1/a^2 - 1/(a^3 z) - 1/(a z) + z/a^7 - z/a^5 + (7 z)/a^3 + (19 z)/a + 
  9 a z - a^3 z - 10 z^2 + z^2/a^6 - (10 z^2)/a^4 - (16 z^2)/a^2 - 
  a^2 z^2 + 4 a^4 z^2 - (3 z^3)/a^7 + (5 z^3)/a^5 - (11 z^3)/a^3 - (
  47 z^3)/a - 22 a z^3 + 6 a^3 z^3 + 10 z^4 - (5 z^4)/a^6 + (22 z^4)/
  a^4 + (31 z^4)/a^2 + 2 a^2 z^4 - 4 a^4 z^4 + z^5/a^7 - (8 z^5)/
  a^5 + (18 z^5)/a^3 + (49 z^5)/a + 15 a z^5 - 7 a^3 z^5 - 3 z^6 + (
  2 z^6)/a^6 - (15 z^6)/a^4 - (14 z^6)/a^2 - 5 a^2 z^6 + a^4 z^6 + (
  3 z^7)/a^5 - (11 z^7)/a^3 - (23 z^7)/a - 7 a z^7 + 2 a^3 z^7 - 
  z^8 + (4 z^8)/a^4 + z^8/a^2 + 2 a^2 z^8 + (3 z^9)/a^3 + (5 z^9)/a + 
  2 a z^9 + z^10 + z^10/a^2, 
 1/a^6 - 1/(a^7 z) - 1/(a^5 z) - z/a^11 - z/a^9 + (5 z)/a^7 + z/
  a^5 - (3 z)/a^3 + z/a + z^2/a^12 - z^2/a^10 - (5 z^2)/a^8 - (
  10 z^2)/a^6 - (6 z^2)/a^4 + z^2/a^2 + (6 z^3)/a^11 + (5 z^3)/a^9 - (
  2 z^3)/a^7 + (8 z^3)/a^5 + (7 z^3)/a^3 - (2 z^3)/a - (2 z^4)/
  a^12 + (8 z^4)/a^10 + (21 z^4)/a^8 + (28 z^4)/a^6 + (13 z^4)/a^4 - (
  4 z^4)/a^2 - (9 z^5)/a^11 - (7 z^5)/a^9 + (4 z^5)/a^7 - (8 z^5)/
  a^5 - (9 z^5)/a^3 + z^5/a + z^6/a^12 - (15 z^6)/a^10 - (33 z^6)/
  a^8 - (33 z^6)/a^6 - (13 z^6)/a^4 + (3 z^6)/a^2 + (4 z^7)/a^11 - (
  6 z^7)/a^9 - (18 z^7)/a^7 - (2 z^7)/a^5 + (6 z^7)/a^3 + (7 z^8)/
  a^10 + (12 z^8)/a^8 + (13 z^8)/a^6 + (8 z^8)/a^4 + (6 z^9)/a^9 + (
  12 z^9)/a^7 + (6 z^9)/a^5 + (2 z^10)/a^8 + (2 z^10)/a^6, -3 + 1/
  a^6 + 5/a^4 + 4/a^2 - 4 a^2 + 1/z^2 - 1/(a^6 z^2) - 3/(a^4 z^2) - 
  2/(a^2 z^2) + a^2/z^2 + 2/(a^7 z) + 8/(a^5 z) + 10/(a^3 z) + 2/(
  a z) - (2 a)/z - (7 z)/a^7 - (27 z)/a^5 - (34 z)/a^3 - (10 z)/a + 
  4 a z + 5 z^2 - (2 z^2)/a^6 - (4 z^2)/a^4 - (3 z^2)/a^2 + 
  6 a^2 z^2 - z^3/a^9 + (11 z^3)/a^7 + (39 z^3)/a^5 + (50 z^3)/a^3 + (
  23 z^3)/a - 2 z^4 - (4 z^4)/a^8 + (10 z^4)/a^6 + (18 z^4)/a^4 + (
  6 z^4)/a^2 - 4 a^2 z^4 + z^5/a^9 - (16 z^5)/a^7 - (31 z^5)/a^5 - (
  33 z^5)/a^3 - (23 z^5)/a - 4 a z^5 - 4 z^6 + (4 z^6)/a^8 - (17 z^6)/
  a^6 - (31 z^6)/a^4 - (15 z^6)/a^2 + a^2 z^6 + (9 z^7)/a^7 + (6 z^7)/
  a^5 + z^7/a^3 + (6 z^7)/a + 2 a z^7 + 3 z^8 + (10 z^8)/a^6 + (
  15 z^8)/a^4 + (8 z^8)/a^2 + (5 z^9)/a^5 + (7 z^9)/a^3 + (2 z^9)/a + 
  z^10/a^4 + z^10/a^2, 
 5 + 1/a^2 + 4 a^2 - 3 a^4 - 4 a^6 - 3/z^2 - 1/(a^2 z^2) - (2 a^2)/
  z^2 + a^4/z^2 + a^6/z^2 + 2/(a^3 z) + 8/(a z) + (10 a)/z + (2 a^3)/
  z - (2 a^5)/z - (7 z)/a^3 - (27 z)/a - 34 a z - 10 a^3 z + 
  4 a^5 z - 14 z^2 + z^2/a^4 - (2 z^2)/a^2 - 11 a^2 z^2 + 6 a^4 z^2 + 
  6 a^6 z^2 - z^3/a^5 + (12 z^3)/a^3 + (50 z^3)/a + 53 a z^3 + 
  16 a^3 z^3 + 34 z^4 - (4 z^4)/a^4 + (4 z^4)/a^2 + 26 a^2 z^4 - 
  4 a^4 z^4 - 4 a^6 z^4 + z^5/a^5 - (15 z^5)/a^3 - (47 z^5)/a - 
  39 a z^5 - 12 a^3 z^5 - 4 a^5 z^5 - 43 z^6 + (4 z^6)/a^4 - (13 z^6)/
  a^2 - 30 a^2 z^6 - 3 a^4 z^6 + a^6 z^6 + (9 z^7)/a^3 + (12 z^7)/a + 
  2 a z^7 + a^3 z^7 + 2 a^5 z^7 + 19 z^8 + (10 z^8)/a^2 + 
  12 a^2 z^8 + 3 a^4 z^8 + (5 z^9)/a + 8 a z^9 + 3 a^3 z^9 + z^10 + 
  a^2 z^10, 
 13 a^8 + 28 a^10 + 22 a^12 + 7 a^14 + a^16 - (3 a^8)/z^2 - (8 a^10)/
  z^2 - (7 a^12)/z^2 - (2 a^14)/z^2 + (8 a^9)/z + (15 a^11)/z + (
  7 a^13)/z - a^15/z - a^17/z - 24 a^9 z - 45 a^11 z - 21 a^13 z + 
  3 a^15 z + 3 a^17 z + 2 a^6 z^2 - 25 a^8 z^2 - 56 a^10 z^2 - 
  38 a^12 z^2 - 9 a^14 z^2 + 3 a^7 z^3 + 31 a^9 z^3 + 54 a^11 z^3 + 
  26 a^13 z^3 - 3 a^15 z^3 - 3 a^17 z^3 - 3 a^6 z^4 + 26 a^8 z^4 + 
  64 a^10 z^4 + 45 a^12 z^4 + 7 a^14 z^4 - 3 a^16 z^4 - 7 a^7 z^5 - 
  19 a^9 z^5 - 23 a^11 z^5 - 14 a^13 z^5 - 2 a^15 z^5 + a^17 z^5 + 
  a^6 z^6 - 19 a^8 z^6 - 44 a^10 z^6 - 31 a^12 z^6 - 5 a^14 z^6 + 
  2 a^16 z^6 + 3 a^7 z^7 - 2 a^9 z^7 - 6 a^11 z^7 + 2 a^13 z^7 + 
  3 a^15 z^7 + 6 a^8 z^8 + 12 a^10 z^8 + 10 a^12 z^8 + 4 a^14 z^8 + 
  4 a^9 z^9 + 7 a^11 z^9 + 3 a^13 z^9 + a^10 z^10 + 
  a^12 z^10, -4 a^6 - 3 a^8 + 4 a^10 + 5 a^12 + a^14 + a^6/z^2 + a^8/
  z^2 - (2 a^10)/z^2 - (3 a^12)/z^2 - a^14/z^2 - (2 a^7)/z + (2 a^9)/
  z + (10 a^11)/z + (8 a^13)/z + (2 a^15)/z + 4 a^7 z - 10 a^9 z - 
  34 a^11 z - 27 a^13 z - 7 a^15 z - a^4 z^2 + 8 a^6 z^2 + 
  9 a^8 z^2 - 5 a^10 z^2 - 7 a^12 z^2 - 2 a^14 z^2 - 2 a^5 z^3 - 
  a^7 z^3 + 23 a^9 z^3 + 49 a^11 z^3 + 36 a^13 z^3 + 9 a^15 z^3 + 
  a^4 z^4 - 8 a^6 z^4 - 4 a^8 z^4 + 17 a^10 z^4 + 19 a^12 z^4 + 
  7 a^14 z^4 + 3 a^5 z^5 - 6 a^7 z^5 - 23 a^9 z^5 - 27 a^11 z^5 - 
  18 a^13 z^5 - 5 a^15 z^5 + 6 a^6 z^6 - 7 a^8 z^6 - 28 a^10 z^6 - 
  22 a^12 z^6 - 7 a^14 z^6 + 7 a^7 z^7 + 3 a^9 z^7 - 6 a^11 z^7 - 
  a^13 z^7 + a^15 z^7 + 7 a^8 z^8 + 10 a^10 z^8 + 5 a^12 z^8 + 
  2 a^14 z^8 + 4 a^9 z^9 + 6 a^11 z^9 + 2 a^13 z^9 + a^10 z^10 + 
  a^12 z^10, -14 - 4/a^2 - 21 a^2 - 14 a^4 - 4 a^6 + 3/z^2 + 1/(
  a^2 z^2) + (4 a^2)/z^2 + (3 a^4)/z^2 + a^6/z^2 - 1/(a z) - a/z - 
  a^3/z - a^5/z + z/a + a z + a^3 z + a^5 z + 24 z^2 + (3 z^2)/a^4 + (
  8 z^2)/a^2 + 38 a^2 z^2 + 25 a^4 z^2 + 6 a^6 z^2 - z^3/a^5 + (
  4 z^3)/a^3 + (5 z^3)/a + 5 a z^3 + 8 a^3 z^3 + 3 a^5 z^3 - 
  13 z^4 - (6 z^4)/a^4 - (7 z^4)/a^2 - 26 a^2 z^4 - 18 a^4 z^4 - 
  4 a^6 z^4 + z^5/a^5 - (10 z^5)/a^3 - (15 z^5)/a - 11 a z^5 - 
  12 a^3 z^5 - 5 a^5 z^5 - 11 z^6 + (4 z^6)/a^4 - (5 z^6)/a^2 - 
  a^2 z^6 + 2 a^4 z^6 + a^6 z^6 + (7 z^7)/a^3 + (5 z^7)/a - a z^7 + 
  3 a^3 z^7 + 2 a^5 z^7 + 10 z^8 + (7 z^8)/a^2 + 5 a^2 z^8 + 
  2 a^4 z^8 + (4 z^9)/a + 6 a z^9 + 2 a^3 z^9 + z^10 + 
  a^2 z^10, -4 a^2 - 14 a^4 - 21 a^6 - 14 a^8 - 4 a^10 + a^2/z^2 + (
  3 a^4)/z^2 + (4 a^6)/z^2 + (3 a^8)/z^2 + a^10/z^2 - a^3/z - a^5/z - 
  a^7/z - a^9/z + a^3 z + a^5 z + a^7 z + a^9 z + 7 a^2 z^2 + 
  23 a^4 z^2 + 35 a^6 z^2 + 25 a^8 z^2 + 6 a^10 z^2 + 3 a z^3 + 
  10 a^3 z^3 + 10 a^5 z^3 + 6 a^7 z^3 + 3 a^9 z^3 - 5 z^4 - 
  3 a^2 z^4 - 3 a^4 z^4 - 19 a^6 z^4 - 18 a^8 z^4 - 4 a^10 z^4 + z^5/
  a - 15 a z^5 - 22 a^3 z^5 - 12 a^5 z^5 - 11 a^7 z^5 - 5 a^9 z^5 + 
  5 z^6 - 12 a^2 z^6 - 23 a^4 z^6 - 5 a^6 z^6 + 2 a^8 z^6 + 
  a^10 z^6 + 10 a z^7 + 6 a^3 z^7 - 3 a^5 z^7 + 3 a^7 z^7 + 
  2 a^9 z^7 + 10 a^2 z^8 + 14 a^4 z^8 + 6 a^6 z^8 + 2 a^8 z^8 + 
  5 a^3 z^9 + 7 a^5 z^9 + 2 a^7 z^9 + a^4 z^10 + a^6 z^10, 
 13 a^8 + 28 a^10 + 22 a^12 + 7 a^14 + a^16 - (3 a^8)/z^2 - (8 a^10)/
  z^2 - (7 a^12)/z^2 - (2 a^14)/z^2 + (8 a^9)/z + (15 a^11)/z + (
  7 a^13)/z - a^15/z - a^17/z - 24 a^9 z - 45 a^11 z - 21 a^13 z + 
  3 a^15 z + 3 a^17 z + a^6 z^2 - 24 a^8 z^2 - 51 a^10 z^2 - 
  35 a^12 z^2 - 9 a^14 z^2 + 2 a^7 z^3 + 27 a^9 z^3 + 46 a^11 z^3 + 
  22 a^13 z^3 - 2 a^15 z^3 - 3 a^17 z^3 - 3 a^6 z^4 + 31 a^8 z^4 + 
  62 a^10 z^4 + 33 a^12 z^4 + 2 a^14 z^4 - 3 a^16 z^4 - 8 a^7 z^5 - 
  7 a^9 z^5 - 8 a^11 z^5 - 13 a^13 z^5 - 3 a^15 z^5 + a^17 z^5 + 
  a^6 z^6 - 23 a^8 z^6 - 38 a^10 z^6 - 18 a^12 z^6 - 2 a^14 z^6 + 
  2 a^16 z^6 + 3 a^7 z^7 - 8 a^9 z^7 - 11 a^11 z^7 + 3 a^13 z^7 + 
  3 a^15 z^7 + 6 a^8 z^8 + 8 a^10 z^8 + 5 a^12 z^8 + 3 a^14 z^8 + 
  4 a^9 z^9 + 6 a^11 z^9 + 2 a^13 z^9 + a^10 z^10 + 
  a^12 z^10, -4 a^6 - 3 a^8 + 4 a^10 + 5 a^12 + a^14 + a^6/z^2 + a^8/
  z^2 - (2 a^10)/z^2 - (3 a^12)/z^2 - a^14/z^2 - (2 a^7)/z + (2 a^9)/
  z + (10 a^11)/z + (8 a^13)/z + (2 a^15)/z + 4 a^7 z - 10 a^9 z - 
  34 a^11 z - 27 a^13 z - 7 a^15 z + 7 a^6 z^2 + 4 a^8 z^2 - 
  8 a^10 z^2 - 7 a^12 z^2 - 2 a^14 z^2 + 2 a^7 z^3 + 26 a^9 z^3 + 
  50 a^11 z^3 + 35 a^13 z^3 + 9 a^15 z^3 + a^4 z^4 - 11 a^6 z^4 - 
  2 a^8 z^4 + 27 a^10 z^4 + 24 a^12 z^4 + 7 a^14 z^4 + 4 a^5 z^5 - 
  16 a^7 z^5 - 35 a^9 z^5 - 27 a^11 z^5 - 17 a^13 z^5 - 5 a^15 z^5 + 
  10 a^6 z^6 - 12 a^8 z^6 - 40 a^10 z^6 - 25 a^12 z^6 - 7 a^14 z^6 + 
  13 a^7 z^7 + 8 a^9 z^7 - 7 a^11 z^7 - a^13 z^7 + a^15 z^7 + 
  11 a^8 z^8 + 15 a^10 z^8 + 6 a^12 z^8 + 2 a^14 z^8 + 5 a^9 z^9 + 
  7 a^11 z^9 + 2 a^13 z^9 + a^10 z^10 + a^12 z^10, 
 13 + 1/a^8 + 7/a^6 + 22/a^4 + 28/a^2 - 3/z^2 - 2/(a^6 z^2) - 7/(
  a^4 z^2) - 8/(a^2 z^2) - 1/(a^9 z) - 1/(a^7 z) + 7/(a^5 z) + 15/(
  a^3 z) + 8/(a z) + (3 z)/a^9 + (3 z)/a^7 - (21 z)/a^5 - (45 z)/
  a^3 - (24 z)/a - 22 z^2 - (12 z^2)/a^6 - (37 z^2)/a^4 - (47 z^2)/
  a^2 + z^3/a^11 - (6 z^3)/a^9 - (3 z^3)/a^7 + (25 z^3)/a^5 + (
  44 z^3)/a^3 + (23 z^3)/a + 18 z^4 + (3 z^4)/a^10 - (8 z^4)/a^8 + (
  16 z^4)/a^6 + (51 z^4)/a^4 + (42 z^4)/a^2 + (6 z^5)/a^9 - (10 z^5)/
  a^7 - (9 z^5)/a^5 + (2 z^5)/a^3 - (5 z^5)/a - 7 z^6 + (7 z^6)/
  a^8 - (19 z^6)/a^6 - (34 z^6)/a^4 - (15 z^6)/a^2 + (7 z^7)/a^7 - (
  8 z^7)/a^5 - (18 z^7)/a^3 - (3 z^7)/a + z^8 + (7 z^8)/a^6 + (5 z^8)/
  a^4 - z^8/a^2 + (4 z^9)/a^5 + (5 z^9)/a^3 + z^9/a + z^10/a^4 + z^10/
  a^2, -3 + 1/a^6 + 5/a^4 + 4/a^2 - 4 a^2 + 1/z^2 - 1/(a^6 z^2) - 3/(
  a^4 z^2) - 2/(a^2 z^2) + a^2/z^2 + 2/(a^7 z) + 8/(a^5 z) + 10/(
  a^3 z) + 2/(a z) - (2 a)/z - (7 z)/a^7 - (27 z)/a^5 - (34 z)/a^3 - (
  10 z)/a + 4 a z + 6 z^2 - (5 z^2)/a^6 - (9 z^2)/a^4 - (4 z^2)/a^2 + 
  6 a^2 z^2 - (2 z^3)/a^9 + (14 z^3)/a^7 + (40 z^3)/a^5 + (43 z^3)/
  a^3 + (19 z^3)/a - 3 z^4 - (5 z^4)/a^8 + (17 z^4)/a^6 + (23 z^4)/
  a^4 + (2 z^4)/a^2 - 4 a^2 z^4 + z^5/a^9 - (14 z^5)/a^7 - (21 z^5)/
  a^5 - (23 z^5)/a^3 - (21 z^5)/a - 4 a z^5 - 4 z^6 + (3 z^6)/a^8 - (
  16 z^6)/a^6 - (25 z^6)/a^4 - (11 z^6)/a^2 + a^2 z^6 + (6 z^7)/a^7 + 
  z^7/a^5 - (2 z^7)/a^3 + (5 z^7)/a + 2 a z^7 + 3 z^8 + (7 z^8)/
  a^6 + (10 z^8)/a^4 + (6 z^8)/a^2 + (4 z^9)/a^5 + (6 z^9)/a^3 + (
  2 z^9)/a + z^10/a^4 + z^10/a^2, -7 a^6 - 14 a^8 - 10 a^10 - 
  2 a^12 + (2 a^6)/z^2 + (5 a^8)/z^2 + (4 a^10)/z^2 + a^12/z^2 - (
  5 a^7)/z - (9 a^9)/z - (5 a^11)/z - a^13/z + 11 a^7 z + 21 a^9 z + 
  13 a^11 z + 3 a^13 z + a^2 z^2 - 2 a^4 z^2 + 6 a^6 z^2 + 
  20 a^8 z^2 + 14 a^10 z^2 + 3 a^12 z^2 + 5 a^3 z^3 + 6 a^5 z^3 - 
  6 a^7 z^3 - 16 a^9 z^3 - 12 a^11 z^3 - 3 a^13 z^3 - 2 a^2 z^4 + 
  8 a^4 z^4 + 11 a^6 z^4 - 8 a^8 z^4 - 13 a^10 z^4 - 4 a^12 z^4 - 
  10 a^3 z^5 - 8 a^5 z^5 + 4 a^7 z^5 + 3 a^9 z^5 + 2 a^11 z^5 + 
  a^13 z^5 + a^2 z^6 - 15 a^4 z^6 - 22 a^6 z^6 - 4 a^8 z^6 + 
  4 a^10 z^6 + 2 a^12 z^6 + 4 a^3 z^7 - 4 a^5 z^7 - 9 a^7 z^7 + 
  a^9 z^7 + 2 a^11 z^7 + 6 a^4 z^8 + 8 a^6 z^8 + 4 a^8 z^8 + 
  2 a^10 z^8 + 4 a^5 z^9 + 6 a^7 z^9 + 2 a^9 z^9 + a^6 z^10 + 
  a^8 z^10, -14 - 2/a^4 - 10/a^2 - 7 a^2 + 5/z^2 + 1/(a^4 z^2) + 4/(
  a^2 z^2) + (2 a^2)/z^2 - 1/(a^5 z) - 5/(a^3 z) - 9/(a z) - (5 a)/
  z + (3 z)/a^5 + (13 z)/a^3 + (21 z)/a + 11 a z + 20 z^2 - (3 z^2)/
  a^6 + z^2/a^4 + (15 z^2)/a^2 + 9 a^2 z^2 - z^3/a^9 + (4 z^3)/a^7 - (
  5 z^3)/a^5 - (19 z^3)/a^3 - (15 z^3)/a - 6 a z^3 - 14 z^4 - (6 z^4)/
  a^8 + (10 z^4)/a^6 + (8 z^4)/a^4 - (17 z^4)/a^2 - 5 a^2 z^4 + z^5/
  a^9 - (13 z^5)/a^7 + (5 z^5)/a^5 + (20 z^5)/a^3 - a z^5 + 2 z^6 + (
  4 z^6)/a^8 - (14 z^6)/a^6 - (11 z^6)/a^4 + (8 z^6)/a^2 + a^2 z^6 + (
  7 z^7)/a^7 - (5 z^7)/a^5 - (12 z^7)/a^3 + z^7/a + a z^7 + z^8 + (
  7 z^8)/a^6 + (5 z^8)/a^4 - z^8/a^2 + (4 z^9)/a^5 + (5 z^9)/a^3 + 
  z^9/a + z^10/a^4 + z^10/a^2, 
 3 + 5 a^2 + 3 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/z + (
  2 a^3)/z - 3 a z - 3 a^3 z - 3 z^2 - (3 z^2)/a^6 - (2 z^2)/a^4 + 
  z^2/a^2 - 6 a^2 z^2 - 3 a^4 z^2 + (3 z^3)/a^7 - (7 z^3)/a^5 - (
  10 z^3)/a^3 + z^4 + (16 z^4)/a^6 + (10 z^4)/a^4 - (6 z^4)/a^2 + 
  2 a^2 z^4 + a^4 z^4 - (4 z^5)/a^7 + (18 z^5)/a^5 + (22 z^5)/a^3 + 
  a z^5 + a^3 z^5 - (14 z^6)/a^6 - (8 z^6)/a^4 + (5 z^6)/a^2 + 
  a^2 z^6 + z^7/a^7 - (14 z^7)/a^5 - (17 z^7)/a^3 - z^7/a + a z^7 + 
  z^8 + (3 z^8)/a^6 - z^8/a^4 - (3 z^8)/a^2 + (3 z^9)/a^5 + (4 z^9)/
  a^3 + z^9/a + z^10/a^4 + z^10/a^2, -4 - 3/a^2 - 2 a^2 + 5/z^2 + 2/(
  a^2 z^2) + (4 a^2)/z^2 + a^4/z^2 - 5/(a z) - (9 a)/z - (5 a^3)/z - 
  a^5/z + (5 z)/a + 9 a z + 5 a^3 z + a^5 z - 21 z^2 + (2 z^2)/a^4 - (
  5 z^2)/a^2 - 18 a^2 z^2 - 4 a^4 z^2 - z^3/a^5 + (4 z^3)/a^3 + (
  10 z^3)/a + 17 a z^3 + 17 a^3 z^3 + 5 a^5 z^3 + 59 z^4 - (5 z^4)/
  a^4 + (14 z^4)/a^2 + 53 a^2 z^4 + 12 a^4 z^4 - a^6 z^4 + z^5/a^5 - (
  10 z^5)/a^3 - (15 z^5)/a - 19 a z^5 - 25 a^3 z^5 - 10 a^5 z^5 - 
  64 z^6 + (4 z^6)/a^4 - (17 z^6)/a^2 - 63 a^2 z^6 - 19 a^4 z^6 + 
  a^6 z^6 + (8 z^7)/a^3 - z^7/a - 15 a z^7 - a^3 z^7 + 5 a^5 z^7 + 
  24 z^8 + (11 z^8)/a^2 + 22 a^2 z^8 + 9 a^4 z^8 + (8 z^9)/a + 
  15 a z^9 + 7 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 1 + a^2 + a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/z + (2 a^3)/z -
   a z - a^3 z - (4 z^2)/a^4 - (8 z^2)/a^2 + 8 a^2 z^2 + 4 a^4 z^2 + (
  5 z^3)/a^5 + (3 z^3)/a^3 - (6 z^3)/a - 2 a z^3 + a^3 z^3 - 
  a^5 z^3 + 8 z^4 - (2 z^4)/a^6 + (15 z^4)/a^4 + (30 z^4)/a^2 - 
  12 a^2 z^4 - 7 a^4 z^4 - (10 z^5)/a^5 + (2 z^5)/a^3 + (17 z^5)/a - 
  3 a z^5 - 7 a^3 z^5 + a^5 z^5 - 17 z^6 + z^6/a^6 - (19 z^6)/a^4 - (
  32 z^6)/a^2 - a^2 z^6 + 4 a^4 z^6 + (4 z^7)/a^5 - (11 z^7)/a^3 - (
  22 z^7)/a - a z^7 + 6 a^3 z^7 + 8 z^8 + (7 z^8)/a^4 + (9 z^8)/a^2 + 
  6 a^2 z^8 + (6 z^9)/a^3 + (11 z^9)/a + 5 a z^9 + 2 z^10 + (2 z^10)/
  a^2, -4 - 2/a^2 - 3 a^2 + 5/z^2 + 1/(a^4 z^2) + 4/(a^2 z^2) + (
  2 a^2)/z^2 - 1/(a^5 z) - 5/(a^3 z) - 9/(a z) - (5 a)/z + z/a^5 + (
  5 z)/a^3 + (9 z)/a + 5 a z - 23 z^2 - (8 z^2)/a^4 - (24 z^2)/a^2 - 
  7 a^2 z^2 - (2 z^3)/a^7 + (6 z^3)/a^5 + (15 z^3)/a^3 + (6 z^3)/a + 
  a z^3 + 2 a^3 z^3 + 61 z^4 + z^4/a^8 - (6 z^4)/a^6 + (18 z^4)/
  a^4 + (68 z^4)/a^2 + 18 a^2 z^4 + (4 z^5)/a^7 - (16 z^5)/a^5 - (
  19 z^5)/a^3 + (11 z^5)/a + 7 a z^5 - 3 a^3 z^5 - 50 z^6 + (8 z^6)/
  a^6 - (24 z^6)/a^4 - (67 z^6)/a^2 - 15 a^2 z^6 + (12 z^7)/a^5 - (
  5 z^7)/a^3 - (32 z^7)/a - 14 a z^7 + a^3 z^7 + 9 z^8 + (13 z^8)/
  a^4 + (18 z^8)/a^2 + 4 a^2 z^8 + (8 z^9)/a^3 + (13 z^9)/a + 
  5 a z^9 + 2 z^10 + (2 z^10)/a^2, 
 1 + a^2 + a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/z + (2 a^3)/z -
   a z - a^3 z - 4 z^2 - 12 a^2 z^2 - 12 a^4 z^2 - 4 a^6 z^2 + (
  3 z^3)/a + 6 a z^3 + 8 a^3 z^3 + 10 a^5 z^3 + 5 a^7 z^3 + 16 z^4 - 
  z^4/a^2 + 51 a^2 z^4 + 51 a^4 z^4 + 14 a^6 z^4 - 3 a^8 z^4 - (
  8 z^5)/a - 4 a z^5 + 2 a^3 z^5 - 17 a^5 z^5 - 14 a^7 z^5 + 
  a^9 z^5 - 23 z^6 + z^6/a^2 - 67 a^2 z^6 - 73 a^4 z^6 - 25 a^6 z^6 + 
  5 a^8 z^6 + (5 z^7)/a - 14 a z^7 - 37 a^3 z^7 - 6 a^5 z^7 + 
  12 a^7 z^7 + 11 z^8 + 22 a^2 z^8 + 28 a^4 z^8 + 17 a^6 z^8 + 
  11 a z^9 + 24 a^3 z^9 + 13 a^5 z^9 + 4 a^2 z^10 + 4 a^4 z^10, 
 3 + 4 a^2 + 2 a^4 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/
  z - z/a^3 - (3 z)/a - 7 a z - 7 a^3 z - 2 a^5 z - 31 z^2 + z^2/
  a^4 - (9 z^2)/a^2 - 28 a^2 z^2 - 6 a^4 z^2 + a^6 z^2 - z^3/a^5 + (
  4 z^3)/a^3 + (15 z^3)/a + 25 a z^3 + 21 a^3 z^3 + 6 a^5 z^3 + 
  70 z^4 - (5 z^4)/a^4 + (18 z^4)/a^2 + 59 a^2 z^4 + 10 a^4 z^4 - 
  2 a^6 z^4 + z^5/a^5 - (11 z^5)/a^3 - (11 z^5)/a - 9 a z^5 - 
  19 a^3 z^5 - 9 a^5 z^5 - 64 z^6 + (4 z^6)/a^4 - (20 z^6)/a^2 - 
  56 a^2 z^6 - 15 a^4 z^6 + a^6 z^6 + (8 z^7)/a^3 - (5 z^7)/a - 
  20 a z^7 - 3 a^3 z^7 + 4 a^5 z^7 + 21 z^8 + (11 z^8)/a^2 + 
  17 a^2 z^8 + 7 a^4 z^8 + (8 z^9)/a + 14 a z^9 + 6 a^3 z^9 + 
  2 z^10 + 2 a^2 z^10, 
 3 + 2/a^4 + 4/a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/
  z - (2 z)/a^5 - (7 z)/a^3 - (7 z)/a - 3 a z - a^3 z - 29 z^2 + (
  2 z^2)/a^6 - (7 z^2)/a^4 - (30 z^2)/a^2 - 8 a^2 z^2 - z^3/a^7 + (
  10 z^3)/a^5 + (27 z^3)/a^3 + (26 z^3)/a + 13 a z^3 + 3 a^3 z^3 + 
  67 z^4 + z^4/a^8 - (7 z^4)/a^6 + (15 z^4)/a^4 + (73 z^4)/a^2 + 
  17 a^2 z^4 + (4 z^5)/a^7 - (19 z^5)/a^5 - (30 z^5)/a^3 - (6 z^5)/
  a - 2 a z^5 - 3 a^3 z^5 - 57 z^6 + (9 z^6)/a^6 - (25 z^6)/a^4 - (
  77 z^6)/a^2 - 14 a^2 z^6 + (14 z^7)/a^5 - (2 z^7)/a^3 - (28 z^7)/
  a - 11 a z^7 + a^3 z^7 + 12 z^8 + (15 z^8)/a^4 + (23 z^8)/a^2 + 
  4 a^2 z^8 + (9 z^9)/a^3 + (14 z^9)/a + 5 a z^9 + 2 z^10 + (2 z^10)/
  a^2, 3 a^2 + 15 a^4 + 20 a^6 + 8 a^8 - a^10 - a^2/z^2 - (4 a^4)/
  z^2 - (5 a^6)/z^2 - (2 a^8)/z^2 + a/z + (5 a^3)/z + (9 a^5)/z + (
  5 a^7)/z - 4 a z - 19 a^3 z - 33 a^5 z - 18 a^7 z + z^2 - 
  6 a^2 z^2 - 38 a^4 z^2 - 45 a^6 z^2 - 11 a^8 z^2 + 3 a^10 z^2 - z^3/
  a + 8 a z^3 + 41 a^3 z^3 + 53 a^5 z^3 + 25 a^7 z^3 + 4 a^9 z^3 - 
  5 z^4 + 8 a^2 z^4 + 62 a^4 z^4 + 62 a^6 z^4 + 10 a^8 z^4 - 
  3 a^10 z^4 + z^5/a - 13 a z^5 - 37 a^3 z^5 - 34 a^5 z^5 - 
  18 a^7 z^5 - 7 a^9 z^5 + 4 z^6 - 13 a^2 z^6 - 55 a^4 z^6 - 
  50 a^6 z^6 - 11 a^8 z^6 + a^10 z^6 + 8 a z^7 + 8 a^3 z^7 - 
  3 a^5 z^7 + 3 a^9 z^7 + 9 a^2 z^8 + 20 a^4 z^8 + 16 a^6 z^8 + 
  5 a^8 z^8 + 5 a^3 z^9 + 9 a^5 z^9 + 4 a^7 z^9 + a^4 z^10 + a^6 z^10,
  9 a^4 + 21 a^6 + 18 a^8 + 5 a^10 - (2 a^4)/z^2 - (5 a^6)/z^2 - (
  4 a^8)/z^2 - a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/
  z - 13 a^5 z - 29 a^7 z - 21 a^9 z - 4 a^11 z + a^13 z + 
  2 a^2 z^2 - 18 a^4 z^2 - 57 a^6 z^2 - 48 a^8 z^2 - 10 a^10 z^2 + 
  a^12 z^2 + 4 a^3 z^3 + 13 a^5 z^3 + 36 a^7 z^3 + 33 a^9 z^3 + 
  4 a^11 z^3 - 2 a^13 z^3 - 3 a^2 z^4 + 18 a^4 z^4 + 77 a^6 z^4 + 
  72 a^8 z^4 + 11 a^10 z^4 - 5 a^12 z^4 - 8 a^3 z^5 - 5 a^5 z^5 - 
  6 a^7 z^5 - 18 a^9 z^5 - 8 a^11 z^5 + a^13 z^5 + a^2 z^6 - 
  15 a^4 z^6 - 50 a^6 z^6 - 48 a^8 z^6 - 11 a^10 z^6 + 3 a^12 z^6 + 
  3 a^3 z^7 - 6 a^5 z^7 - 14 a^7 z^7 + 5 a^11 z^7 + 5 a^4 z^8 + 
  12 a^6 z^8 + 13 a^8 z^8 + 6 a^10 z^8 + 4 a^5 z^9 + 8 a^7 z^9 + 
  4 a^9 z^9 + a^6 z^10 + a^8 z^10, -4 a^2 - 7 a^4 - 2 a^6 + 4 a^8 + 
  2 a^10 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z + 
  4 a^3 z + 6 a^5 z - 4 a^9 z - 2 a^11 z - z^2 + 8 a^2 z^2 + 
  16 a^4 z^2 - 7 a^6 z^2 - 21 a^8 z^2 - 7 a^10 z^2 - 2 a z^3 + 
  a^3 z^3 - 2 a^5 z^3 + 2 a^7 z^3 + 12 a^9 z^3 + 5 a^11 z^3 + z^4 - 
  8 a^2 z^4 - 13 a^4 z^4 + 23 a^6 z^4 + 42 a^8 z^4 + 15 a^10 z^4 + 
  3 a z^5 - 7 a^3 z^5 - 8 a^5 z^5 + 3 a^7 z^5 - 3 a^9 z^5 - 
  4 a^11 z^5 + 6 a^2 z^6 - 2 a^4 z^6 - 30 a^6 z^6 - 34 a^8 z^6 - 
  12 a^10 z^6 + 7 a^3 z^7 - 15 a^7 z^7 - 7 a^9 z^7 + a^11 z^7 + 
  6 a^4 z^8 + 10 a^6 z^8 + 7 a^8 z^8 + 3 a^10 z^8 + 4 a^5 z^9 + 
  7 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + a^8 z^10, -6 - 1/a^6 - 1/a^4 - 3/
  a^2 - 4 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z - (
  2 z)/a^5 - (6 z)/a^3 + 4 a z + 8 z^2 + (2 z^2)/a^8 + (4 z^2)/a^6 + (
  9 z^2)/a^4 + (9 z^2)/a^2 + 6 a^2 z^2 - z^3/a^9 + (5 z^3)/a^7 + (
  8 z^3)/a^5 + (16 z^3)/a^3 + (14 z^3)/a - 3 z^4 - (6 z^4)/a^8 - (
  2 z^4)/a^6 - (5 z^4)/a^4 - (8 z^4)/a^2 - 4 a^2 z^4 + z^5/a^9 - (
  11 z^5)/a^7 - (14 z^5)/a^5 - (17 z^5)/a^3 - (19 z^5)/a - 4 a z^5 - 
  4 z^6 + (4 z^6)/a^8 - (7 z^6)/a^6 - (13 z^6)/a^4 - (7 z^6)/a^2 + 
  a^2 z^6 + (7 z^7)/a^7 + (4 z^7)/a^5 + (5 z^7)/a + 2 a z^7 + 
  3 z^8 + (7 z^8)/a^6 + (10 z^8)/a^4 + (6 z^8)/a^2 + (4 z^9)/a^5 + (
  6 z^9)/a^3 + (2 z^9)/a + z^10/a^4 + z^10/a^2, -6 - 4/a^2 - 3 a^2 - 
  a^4 - a^6 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (
  4 z)/a - 6 a^3 z - 2 a^5 z + 7 z^2 + (3 z^2)/a^4 + (6 z^2)/a^2 + 
  6 a^2 z^2 + 5 a^4 z^2 + 3 a^6 z^2 - z^3/a^5 + (4 z^3)/a^3 + (8 z^3)/
  a + 14 a z^3 + 18 a^3 z^3 + 7 a^5 z^3 + 5 z^4 - (6 z^4)/a^4 - (
  5 z^4)/a^2 + 5 a^2 z^4 - 2 a^4 z^4 - 3 a^6 z^4 + z^5/a^5 - (10 z^5)/
  a^3 - (20 z^5)/a - 20 a z^5 - 19 a^3 z^5 - 8 a^5 z^5 - 22 z^6 + (
  4 z^6)/a^4 - (5 z^6)/a^2 - 20 a^2 z^6 - 6 a^4 z^6 + a^6 z^6 + (
  7 z^7)/a^3 + (7 z^7)/a + 3 a^3 z^7 + 3 a^5 z^7 + 13 z^8 + (7 z^8)/
  a^2 + 10 a^2 z^8 + 4 a^4 z^8 + (4 z^9)/a + 7 a z^9 + 3 a^3 z^9 + 
  z^10 + a^2 z^10, 
 15 - 1/a^6 + 8/a^4 + 20/a^2 + 3 a^2 - 4/z^2 - 2/(a^4 z^2) - 5/(
  a^2 z^2) - a^2/z^2 + 5/(a^3 z) + 9/(a z) + (5 a)/z + a^3/z - (18 z)/
  a^3 - (33 z)/a - 19 a z - 4 a^3 z - 34 z^2 - z^2/a^8 + (5 z^2)/
  a^6 - (17 z^2)/a^4 - (50 z^2)/a^2 - 7 a^2 z^2 - (2 z^3)/a^7 + (
  5 z^3)/a^5 + (33 z^3)/a^3 + (50 z^3)/a + 30 a z^3 + 6 a^3 z^3 + 
  56 z^4 + z^4/a^8 - (7 z^4)/a^6 + (21 z^4)/a^4 + (72 z^4)/a^2 + 
  13 a^2 z^4 + (3 z^5)/a^7 - (10 z^5)/a^5 - (26 z^5)/a^3 - (24 z^5)/
  a - 15 a z^5 - 4 a^3 z^5 - 45 z^6 + (6 z^6)/a^6 - (18 z^6)/a^4 - (
  58 z^6)/a^2 - 11 a^2 z^6 + (8 z^7)/a^5 + z^7/a^3 - (12 z^7)/a - 
  4 a z^7 + a^3 z^7 + 10 z^8 + (9 z^8)/a^4 + (16 z^8)/a^2 + 
  3 a^2 z^8 + (5 z^9)/a^3 + (8 z^9)/a + 3 a z^9 + z^10 + z^10/a^2, 
 9 + 5/a^6 + 18/a^4 + 21/a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(a^4 z^2) - 5/(
  a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(a z) + z/a^9 - (
  4 z)/a^7 - (21 z)/a^5 - (29 z)/a^3 - (13 z)/a - 16 z^2 + (3 z^2)/
  a^8 - (12 z^2)/a^6 - (52 z^2)/a^4 - (53 z^2)/a^2 + z^3/a^11 - (
  4 z^3)/a^9 + (12 z^3)/a^7 + (43 z^3)/a^5 + (31 z^3)/a^3 + (5 z^3)/
  a + 14 z^4 + (3 z^4)/a^10 - (12 z^4)/a^8 + (19 z^4)/a^6 + (87 z^4)/
  a^4 + (67 z^4)/a^2 + (6 z^5)/a^9 - (23 z^5)/a^7 - (30 z^5)/a^5 + (
  9 z^5)/a^3 + (10 z^5)/a - 6 z^6 + (9 z^6)/a^8 - (26 z^6)/a^6 - (
  62 z^6)/a^4 - (33 z^6)/a^2 + (11 z^7)/a^7 - (4 z^7)/a^5 - (24 z^7)/
  a^3 - (9 z^7)/a + z^8 + (10 z^8)/a^6 + (12 z^8)/a^4 + (3 z^8)/
  a^2 + (5 z^9)/a^5 + (7 z^9)/a^3 + (2 z^9)/a + z^10/a^4 + z^10/
  a^2, -7 + 2/a^6 + 4/a^4 - 2/a^2 - 4 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/
  z^2 - 2/(a z) - (2 a)/z - (2 z)/a^7 - (4 z)/a^5 + (6 z)/a + 4 a z + 
  15 z^2 + z^2/a^8 - (9 z^2)/a^6 - (22 z^2)/a^4 - (3 z^2)/a^2 + 
  6 a^2 z^2 - (2 z^3)/a^9 + (7 z^3)/a^7 + (8 z^3)/a^5 - (8 z^3)/
  a^3 - (6 z^3)/a + a z^3 - 13 z^4 - (6 z^4)/a^8 + (19 z^4)/a^6 + (
  41 z^4)/a^4 + (7 z^4)/a^2 - 4 a^2 z^4 + z^5/a^9 - (11 z^5)/a^7 + (
  3 z^5)/a^5 + (18 z^5)/a^3 - (2 z^5)/a - 5 a z^5 + (3 z^6)/a^8 - (
  16 z^6)/a^6 - (27 z^6)/a^4 - (9 z^6)/a^2 + a^2 z^6 + (5 z^7)/a^7 - (
  7 z^7)/a^5 - (15 z^7)/a^3 - z^7/a + 2 a z^7 + 2 z^8 + (6 z^8)/
  a^6 + (7 z^8)/a^4 + (3 z^8)/a^2 + (4 z^9)/a^5 + (6 z^9)/a^3 + (
  2 z^9)/a + z^10/a^4 + z^10/a^2, 
 3 a^4 + 4 a^6 + 2 a^8 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/
  z - (2 a^5)/z - a z - 3 a^3 z - 7 a^5 z - 7 a^7 z - 2 a^9 z - 
  5 a^2 z^2 - 21 a^4 z^2 - 24 a^6 z^2 - 7 a^8 z^2 + a^10 z^2 + 
  4 a z^3 + 17 a^3 z^3 + 25 a^5 z^3 + 18 a^7 z^3 + 6 a^9 z^3 - 
  3 z^4 + 16 a^2 z^4 + 63 a^4 z^4 + 59 a^6 z^4 + 13 a^8 z^4 - 
  2 a^10 z^4 + z^5/a - 14 a z^5 - 22 a^3 z^5 - 13 a^5 z^5 - 
  14 a^7 z^5 - 8 a^9 z^5 + 5 z^6 - 27 a^2 z^6 - 79 a^4 z^6 - 
  64 a^6 z^6 - 16 a^8 z^6 + a^10 z^6 + 12 a z^7 - 4 a^3 z^7 - 
  26 a^5 z^7 - 6 a^7 z^7 + 4 a^9 z^7 + 17 a^2 z^8 + 30 a^4 z^8 + 
  21 a^6 z^8 + 8 a^8 z^8 + 12 a^3 z^9 + 20 a^5 z^9 + 8 a^7 z^9 + 
  3 a^4 z^10 + 3 a^6 z^10, 
 11 a^8 + 22 a^10 + 13 a^12 - a^16 - (2 a^8)/z^2 - (5 a^10)/z^2 - (
  4 a^12)/z^2 - a^14/z^2 + (5 a^9)/z + (9 a^11)/z + (5 a^13)/z + a^15/
  z - 19 a^9 z - 35 a^11 z - 19 a^13 z - 2 a^15 z + a^17 z + 
  2 a^6 z^2 - 23 a^8 z^2 - 43 a^10 z^2 - 16 a^12 z^2 + 5 a^14 z^2 + 
  3 a^16 z^2 + 3 a^7 z^3 + 28 a^9 z^3 + 50 a^11 z^3 + 31 a^13 z^3 + 
  4 a^15 z^3 - 2 a^17 z^3 - 3 a^6 z^4 + 26 a^8 z^4 + 51 a^10 z^4 + 
  21 a^12 z^4 - 6 a^14 z^4 - 5 a^16 z^4 - 7 a^7 z^5 - 17 a^9 z^5 - 
  29 a^11 z^5 - 27 a^13 z^5 - 7 a^15 z^5 + a^17 z^5 + a^6 z^6 - 
  19 a^8 z^6 - 39 a^10 z^6 - 24 a^12 z^6 - 2 a^14 z^6 + 3 a^16 z^6 + 
  3 a^7 z^7 - 2 a^9 z^7 - 2 a^11 z^7 + 8 a^13 z^7 + 5 a^15 z^7 + 
  6 a^8 z^8 + 12 a^10 z^8 + 11 a^12 z^8 + 5 a^14 z^8 + 4 a^9 z^9 + 
  7 a^11 z^9 + 3 a^13 z^9 + a^10 z^10 + a^12 z^10, 
 11 - 1/a^8 + 13/a^4 + 22/a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(a^4 z^2) - 
  5/(a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(a z) + z/
  a^9 - (2 z)/a^7 - (19 z)/a^5 - (35 z)/a^3 - (19 z)/a - 21 z^2 + (
  5 z^2)/a^8 + (3 z^2)/a^6 - (20 z^2)/a^4 - (39 z^2)/a^2 + z^3/
  a^11 - (4 z^3)/a^9 + (9 z^3)/a^7 + (33 z^3)/a^5 + (39 z^3)/a^3 + (
  20 z^3)/a + 18 z^4 + (3 z^4)/a^10 - (13 z^4)/a^8 + (3 z^4)/a^6 + (
  37 z^4)/a^4 + (36 z^4)/a^2 + (6 z^5)/a^9 - (20 z^5)/a^7 - (23 z^5)/
  a^5 - z^5/a^3 - (4 z^5)/a - 7 z^6 + (9 z^6)/a^8 - (17 z^6)/a^6 - (
  32 z^6)/a^4 - (13 z^6)/a^2 + (10 z^7)/a^7 - (3 z^7)/a^5 - (16 z^7)/
  a^3 - (3 z^7)/a + z^8 + (8 z^8)/a^6 + (6 z^8)/a^4 - z^8/a^2 + (
  4 z^9)/a^5 + (5 z^9)/a^3 + z^9/a + z^10/a^4 + z^10/a^2, 
 6 + 4/a^6 + 17/a^4 + 20/a^2 - 2 a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(
  a^4 z^2) - 5/(a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(
  a z) - (5 z)/a^7 - (21 z)/a^5 - (33 z)/a^3 - (16 z)/a + a z - 
  7 z^2 - (12 z^2)/a^6 - (33 z^2)/a^4 - (33 z^2)/a^2 + 5 a^2 z^2 - (
  2 z^3)/a^9 + (12 z^3)/a^7 + (30 z^3)/a^5 + (35 z^3)/a^3 + (21 z^3)/
  a + 2 a z^3 + 6 z^4 - (5 z^4)/a^8 + (22 z^4)/a^6 + (44 z^4)/a^4 + (
  27 z^4)/a^2 - 4 a^2 z^4 + z^5/a^9 - (14 z^5)/a^7 - (13 z^5)/a^5 - (
  9 z^5)/a^3 - (16 z^5)/a - 5 a z^5 - 7 z^6 + (3 z^6)/a^8 - (18 z^6)/
  a^6 - (30 z^6)/a^4 - (17 z^6)/a^2 + a^2 z^6 + (6 z^7)/a^7 - (2 z^7)/
  a^5 - (8 z^7)/a^3 + (2 z^7)/a + 2 a z^7 + 3 z^8 + (7 z^8)/a^6 + (
  9 z^8)/a^4 + (5 z^8)/a^2 + (4 z^9)/a^5 + (6 z^9)/a^3 + (2 z^9)/a + 
  z^10/a^4 + z^10/a^2, -4 a^2 - 9 a^4 - 8 a^6 - 2 a^8 + a^2/z^2 + (
  2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z + 3 a^3 z + 5 a^5 z + 
  3 a^7 z + a^9 z - z^2 + z^2/a^2 + a^2 z^2 + 16 a^4 z^2 + 
  18 a^6 z^2 + 5 a^8 z^2 + (6 z^3)/a + 8 a z^3 + 4 a^3 z^3 + 
  a^5 z^3 - 3 a^7 z^3 - 2 a^9 z^3 + 8 z^4 - (2 z^4)/a^2 + 
  15 a^2 z^4 - 4 a^4 z^4 - 15 a^6 z^4 - 6 a^8 z^4 - (10 z^5)/a - 
  13 a z^5 - 8 a^3 z^5 - 9 a^5 z^5 - 3 a^7 z^5 + a^9 z^5 - 14 z^6 + 
  z^6/a^2 - 27 a^2 z^6 - 13 a^4 z^6 + 2 a^6 z^6 + 3 a^8 z^6 + (4 z^7)/
  a - a z^7 - 5 a^3 z^7 + 4 a^5 z^7 + 4 a^7 z^7 + 6 z^8 + 
  11 a^2 z^8 + 9 a^4 z^8 + 4 a^6 z^8 + 4 a z^9 + 7 a^3 z^9 + 
  3 a^5 z^9 + a^2 z^10 + a^4 z^10, -8 + 1/a^4 - 3/a^2 - 5 a^2 + 2/
  z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (6 z)/a + 6 a z + 
  13 z^2 + (2 z^2)/a^8 - (2 z^2)/a^6 - (4 z^2)/a^4 + (5 z^2)/a^2 + 
  8 a^2 z^2 - (2 z^3)/a^9 + (4 z^3)/a^7 - (6 z^3)/a^5 - (14 z^3)/
  a^3 - (5 z^3)/a - 3 a z^3 - 9 z^4 - (7 z^4)/a^8 + (9 z^4)/a^6 + (
  10 z^4)/a^4 - (10 z^4)/a^2 - 5 a^2 z^4 + z^5/a^9 - (9 z^5)/a^7 + (
  14 z^5)/a^5 + (26 z^5)/a^3 - 2 a z^5 + (3 z^6)/a^8 - (10 z^6)/
  a^6 - (4 z^6)/a^4 + (8 z^6)/a^2 + a^2 z^6 + (4 z^7)/a^7 - (9 z^7)/
  a^5 - (15 z^7)/a^3 - z^7/a + a z^7 + z^8 + (4 z^8)/a^6 - (3 z^8)/
  a^2 + (3 z^9)/a^5 + (4 z^9)/a^3 + z^9/a + z^10/a^4 + z^10/a^2, -8 - 
  5/a^2 - 3 a^2 + a^4 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (
  2 a)/z + (6 z)/a + 6 a z + 12 z^2 - (5 z^2)/a^6 - (3 z^2)/a^4 + (
  9 z^2)/a^2 + 3 a^2 z^2 - 2 a^4 z^2 + (4 z^3)/a^7 - (4 z^3)/a^5 - (
  4 z^3)/a^3 + z^3/a - 5 a z^3 - 2 a^3 z^3 - 6 z^4 + (16 z^4)/a^6 + (
  14 z^4)/a^4 - (4 z^4)/a^2 - 3 a^2 z^4 + a^4 z^4 - (4 z^5)/a^7 + (
  11 z^5)/a^5 + (10 z^5)/a^3 - (7 z^5)/a + 2 a^3 z^5 - z^6 - (13 z^6)/
  a^6 - (15 z^6)/a^4 - (6 z^6)/a^2 + 3 a^2 z^6 + z^7/a^7 - (11 z^7)/
  a^5 - (14 z^7)/a^3 + z^7/a + 3 a z^7 + 3 z^8 + (3 z^8)/a^6 + (
  2 z^8)/a^4 + (2 z^8)/a^2 + (3 z^9)/a^5 + (5 z^9)/a^3 + (2 z^9)/a + 
  z^10/a^4 + z^10/a^2, -9 - 2/a^4 - 8/a^2 - 4 a^2 + 2/z^2 + 1/(
  a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + z/a^5 + (3 z)/a^3 + (5 z)/
  a + 3 a z + 19 z^2 + z^2/a^8 - z^2/a^6 + (15 z^2)/a^2 + 6 a^2 z^2 - 
  z^3/a^9 + (5 z^3)/a^7 + (5 z^3)/a^5 - (4 z^3)/a^3 - z^3/a + 
  2 a z^3 - 15 z^4 - (6 z^4)/a^8 + (4 z^4)/a^6 + (11 z^4)/a^4 - (
  10 z^4)/a^2 - 4 a^2 z^4 + z^5/a^9 - (12 z^5)/a^7 - (9 z^5)/a^5 + (
  3 z^5)/a^3 - (6 z^5)/a - 5 a z^5 + z^6 + (4 z^6)/a^8 - (10 z^6)/
  a^6 - (18 z^6)/a^4 - (4 z^6)/a^2 + a^2 z^6 + (7 z^7)/a^7 + z^7/
  a^5 - (7 z^7)/a^3 + z^7/a + 2 a z^7 + 2 z^8 + (7 z^8)/a^6 + (9 z^8)/
  a^4 + (4 z^8)/a^2 + (4 z^9)/a^5 + (6 z^9)/a^3 + (2 z^9)/a + z^10/
  a^4 + z^10/a^2, 
 17 - 2/a^6 + 6/a^4 + 20/a^2 + 4 a^2 - 4/z^2 - 2/(a^4 z^2) - 5/(
  a^2 z^2) - a^2/z^2 + 5/(a^3 z) + 9/(a z) + (5 a)/z + a^3/z + z/
  a^5 - (16 z)/a^3 - (33 z)/a - 21 a z - 5 a^3 z - 30 z^2 - z^2/
  a^8 + (6 z^2)/a^6 - (9 z^2)/a^4 - (39 z^2)/a^2 - 7 a^2 z^2 - (
  2 z^3)/a^7 + (2 z^3)/a^5 + (23 z^3)/a^3 + (39 z^3)/a + 28 a z^3 + 
  8 a^3 z^3 + 37 z^4 + z^4/a^8 - (8 z^4)/a^6 + (11 z^4)/a^4 + (
  47 z^4)/a^2 + 10 a^2 z^4 + (3 z^5)/a^7 - (8 z^5)/a^5 - (15 z^5)/
  a^3 - (11 z^5)/a - 12 a z^5 - 5 a^3 z^5 - 25 z^6 + (6 z^6)/a^6 - (
  12 z^6)/a^4 - (35 z^6)/a^2 - 8 a^2 z^6 + (7 z^7)/a^5 - z^7/a^3 - (
  12 z^7)/a - 3 a z^7 + a^3 z^7 + 4 z^8 + (7 z^8)/a^4 + (9 z^8)/a^2 + 
  2 a^2 z^8 + (4 z^9)/a^3 + (6 z^9)/a + 2 a z^9 + z^10 + z^10/
  a^2, -a^6 + 8 a^8 + 20 a^10 + 15 a^12 + 3 a^14 - (2 a^8)/z^2 - (
  5 a^10)/z^2 - (4 a^12)/z^2 - a^14/z^2 + (5 a^9)/z + (9 a^11)/z + (
  5 a^13)/z + a^15/z - 18 a^9 z - 33 a^11 z - 19 a^13 z - 4 a^15 z + 
  5 a^6 z^2 - 15 a^8 z^2 - 42 a^10 z^2 - 29 a^12 z^2 - 7 a^14 z^2 + 
  7 a^7 z^3 + 35 a^9 z^3 + 48 a^11 z^3 + 26 a^13 z^3 + 6 a^15 z^3 + 
  a^4 z^4 - 9 a^6 z^4 + 19 a^8 z^4 + 69 a^10 z^4 + 52 a^12 z^4 + 
  12 a^14 z^4 + 4 a^5 z^5 - 19 a^7 z^5 - 35 a^9 z^5 - 17 a^11 z^5 - 
  9 a^13 z^5 - 4 a^15 z^5 + 10 a^6 z^6 - 27 a^8 z^6 - 71 a^10 z^6 - 
  44 a^12 z^6 - 10 a^14 z^6 + 15 a^7 z^7 - 23 a^11 z^7 - 7 a^13 z^7 + 
  a^15 z^7 + 16 a^8 z^8 + 22 a^10 z^8 + 9 a^12 z^8 + 3 a^14 z^8 + 
  9 a^9 z^9 + 13 a^11 z^9 + 4 a^13 z^9 + 2 a^10 z^10 + 2 a^12 z^10, 
 9 a^4 + 21 a^6 + 18 a^8 + 5 a^10 - (2 a^4)/z^2 - (5 a^6)/z^2 - (
  4 a^8)/z^2 - a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/
  z - 13 a^5 z - 29 a^7 z - 21 a^9 z - 4 a^11 z + a^13 z + a^2 z^2 - 
  14 a^4 z^2 - 47 a^6 z^2 - 44 a^8 z^2 - 11 a^10 z^2 + a^12 z^2 + 
  3 a^3 z^3 + 13 a^5 z^3 + 34 a^7 z^3 + 33 a^9 z^3 + 7 a^11 z^3 - 
  2 a^13 z^3 - 2 a^2 z^4 + 18 a^4 z^4 + 67 a^6 z^4 + 65 a^8 z^4 + 
  14 a^10 z^4 - 4 a^12 z^4 - 8 a^3 z^5 - 5 a^5 z^5 - 7 a^7 z^5 - 
  20 a^9 z^5 - 9 a^11 z^5 + a^13 z^5 + a^2 z^6 - 20 a^4 z^6 - 
  56 a^6 z^6 - 51 a^8 z^6 - 13 a^10 z^6 + 3 a^12 z^6 + 4 a^3 z^7 - 
  10 a^5 z^7 - 20 a^7 z^7 + 6 a^11 z^7 + 8 a^4 z^8 + 16 a^6 z^8 + 
  16 a^8 z^8 + 8 a^10 z^8 + 7 a^5 z^9 + 13 a^7 z^9 + 6 a^9 z^9 + 
  2 a^6 z^10 + 2 a^8 z^10, 
 8 + 3/a^6 + 15/a^4 + 20/a^2 - a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(
  a^4 z^2) - 5/(a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(
  a z) - (4 z)/a^7 - (19 z)/a^5 - (33 z)/a^3 - (18 z)/a - 15 z^2 - (
  9 z^2)/a^6 - (29 z^2)/a^4 - (38 z^2)/a^2 + 3 a^2 z^2 - z^3/a^9 + (
  9 z^3)/a^7 + (29 z^3)/a^5 + (45 z^3)/a^3 + (29 z^3)/a + 3 a z^3 + 
  16 z^4 - (4 z^4)/a^8 + (19 z^4)/a^6 + (52 z^4)/a^4 + (48 z^4)/a^2 - 
  3 a^2 z^4 + z^5/a^9 - (14 z^5)/a^7 - (20 z^5)/a^5 - (21 z^5)/a^3 - (
  22 z^5)/a - 6 a z^5 - 14 z^6 + (4 z^6)/a^8 - (22 z^6)/a^6 - (
  54 z^6)/a^4 - (43 z^6)/a^2 + a^2 z^6 + (9 z^7)/a^7 - (2 z^7)/a^5 - (
  14 z^7)/a^3 + 3 a z^7 + 6 z^8 + (12 z^8)/a^6 + (20 z^8)/a^4 + (
  14 z^8)/a^2 + (8 z^9)/a^5 + (13 z^9)/a^3 + (5 z^9)/a + (2 z^10)/
  a^4 + (2 z^10)/a^2, -a^2 - a^4 - 3 a^6 - 6 a^8 - 4 a^10 + a^6/
  z^2 + (2 a^8)/z^2 + a^10/z^2 - (2 a^7)/z - (2 a^9)/z - 2 a^3 z - 
  6 a^5 z + 4 a^9 z + 3 a^2 z^2 - 2 a^4 z^2 - 2 a^6 z^2 + 9 a^8 z^2 + 
  6 a^10 z^2 + 5 a z^3 + 24 a^3 z^3 + 24 a^5 z^3 + 5 a^7 z^3 - 
  5 z^4 - 4 a^2 z^4 + 21 a^4 z^4 + 19 a^6 z^4 - 5 a^8 z^4 - 
  4 a^10 z^4 + z^5/a - 15 a z^5 - 37 a^3 z^5 - 24 a^5 z^5 - 
  7 a^7 z^5 - 4 a^9 z^5 + 5 z^6 - 10 a^2 z^6 - 37 a^4 z^6 - 
  26 a^6 z^6 - 3 a^8 z^6 + a^10 z^6 + 10 a z^7 + 11 a^3 z^7 - 
  a^5 z^7 + 2 a^9 z^7 + 10 a^2 z^8 + 18 a^4 z^8 + 11 a^6 z^8 + 
  3 a^8 z^8 + 5 a^3 z^9 + 8 a^5 z^9 + 3 a^7 z^9 + a^4 z^10 + 
  a^6 z^10, -7 + 2/a^6 + 4/a^4 - 2/a^2 - 4 a^2 + 2/z^2 + 1/(a^2 z^2) +
   a^2/z^2 - 2/(a z) - (2 a)/z - (2 z)/a^7 - (4 z)/a^5 + (6 z)/a + 
  4 a z + 11 z^2 + z^2/a^8 - (5 z^2)/a^6 - (18 z^2)/a^4 - (7 z^2)/
  a^2 + 6 a^2 z^2 - z^3/a^9 + (7 z^3)/a^7 + (17 z^3)/a^5 + (5 z^3)/
  a^3 - (4 z^3)/a - 6 z^4 - (5 z^4)/a^8 + (9 z^4)/a^6 + (37 z^4)/
  a^4 + (21 z^4)/a^2 - 4 a^2 z^4 + z^5/a^9 - (13 z^5)/a^7 - (21 z^5)/
  a^5 - (6 z^5)/a^3 - (3 z^5)/a - 4 a z^5 - 3 z^6 + (4 z^6)/a^8 - (
  14 z^6)/a^6 - (39 z^6)/a^4 - (25 z^6)/a^2 + a^2 z^6 + (8 z^7)/
  a^7 + (4 z^7)/a^5 - (7 z^7)/a^3 - z^7/a + 2 a z^7 + 3 z^8 + (9 z^8)/
  a^6 + (16 z^8)/a^4 + (10 z^8)/a^2 + (5 z^9)/a^5 + (8 z^9)/a^3 + (
  3 z^9)/a + z^10/a^4 + z^10/a^2, 
 7 + 15 a^2 + 12 a^4 + 3 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/z^2 - 
  a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 11 a z - 
  24 a^3 z - 18 a^5 z - 5 a^7 z - 12 z^2 + z^2/a^2 - 35 a^2 z^2 - 
  28 a^4 z^2 - 5 a^6 z^2 + a^8 z^2 + (4 z^3)/a + 14 a z^3 + 
  36 a^3 z^3 + 38 a^5 z^3 + 11 a^7 z^3 - a^9 z^3 + 18 z^4 - (2 z^4)/
  a^2 + 58 a^2 z^4 + 51 a^4 z^4 + 9 a^6 z^4 - 4 a^8 z^4 - (8 z^5)/a - 
  9 a z^5 - 23 a^3 z^5 - 37 a^5 z^5 - 14 a^7 z^5 + a^9 z^5 - 19 z^6 + 
  z^6/a^2 - 57 a^2 z^6 - 56 a^4 z^6 - 15 a^6 z^6 + 4 a^8 z^6 + (
  4 z^7)/a - 7 a z^7 - 13 a^3 z^7 + 7 a^5 z^7 + 9 a^7 z^7 + 8 z^8 + 
  19 a^2 z^8 + 22 a^4 z^8 + 11 a^6 z^8 + 7 a z^9 + 14 a^3 z^9 + 
  7 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, -1 - 1/a^2 - 3 a^2 - 6 a^4 - 
  4 a^6 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z - (
  2 z)/a - 6 a z + 4 a^5 z - (2 z^2)/a^2 + 5 a^2 z^2 + 12 a^4 z^2 + 
  8 a^6 z^2 - a^8 z^2 + (2 z^3)/a^3 - (2 z^3)/a + 4 a z^3 + 
  9 a^3 z^3 - a^5 z^3 - 2 a^7 z^3 + 22 z^4 + (15 z^4)/a^2 + 
  9 a^2 z^4 - 7 a^4 z^4 - 8 a^6 z^4 + a^8 z^4 - (3 z^5)/a^3 + (
  15 z^5)/a + 15 a z^5 - 12 a^3 z^5 - 6 a^5 z^5 + 3 a^7 z^5 - 
  25 z^6 - (15 z^6)/a^2 - 22 a^2 z^6 - 6 a^4 z^6 + 6 a^6 z^6 + z^7/
  a^3 - (17 z^7)/a - 27 a z^7 - 2 a^3 z^7 + 7 a^5 z^7 + 3 z^8 + (
  4 z^8)/a^2 + 6 a^2 z^8 + 7 a^4 z^8 + (5 z^9)/a + 10 a z^9 + 
  5 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 13 + 2/a^2 + 20 a^2 + 10 a^4 - 4/z^2 - 1/(a^2 z^2) - (5 a^2)/z^2 - (
  2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/z - (2 z)/
  a^3 - (13 z)/a - 27 a z - 16 a^3 z - 30 z^2 - (8 z^2)/a^2 - 
  46 a^2 z^2 - 22 a^4 z^2 + 2 a^6 z^2 - z^3/a^5 + (6 z^3)/a^3 + (
  16 z^3)/a + 26 a z^3 + 20 a^3 z^3 + 3 a^5 z^3 + 53 z^4 - (5 z^4)/
  a^4 + (16 z^4)/a^2 + 59 a^2 z^4 + 24 a^4 z^4 - 3 a^6 z^4 + z^5/
  a^5 - (13 z^5)/a^3 - (7 z^5)/a + 5 a z^5 - 9 a^3 z^5 - 7 a^5 z^5 - 
  45 z^6 + (4 z^6)/a^4 - (19 z^6)/a^2 - 41 a^2 z^6 - 18 a^4 z^6 + 
  a^6 z^6 + (8 z^7)/a^3 - (6 z^7)/a - 23 a z^7 - 6 a^3 z^7 + 
  3 a^5 z^7 + 14 z^8 + (10 z^8)/a^2 + 10 a^2 z^8 + 6 a^4 z^8 + (
  7 z^9)/a + 12 a z^9 + 5 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 1/a^8 - 3/a^6 - 8/a^4 - 5/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(
  a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (6 z)/a^5 + (6 z)/a^3 + 3 z^2 + 
  z^2/a^10 - (4 z^2)/a^8 - (2 z^2)/a^6 + (8 z^2)/a^4 + (8 z^2)/a^2 + (
  5 z^3)/a^9 + (3 z^3)/a^7 - (5 z^3)/a^5 + z^3/a^3 + (3 z^3)/a - 
  a z^3 - 6 z^4 - (2 z^4)/a^10 + (11 z^4)/a^8 + (23 z^4)/a^6 + (
  12 z^4)/a^4 - (4 z^4)/a^2 - (9 z^5)/a^9 - (4 z^5)/a^7 + (6 z^5)/
  a^5 - (9 z^5)/a^3 - (9 z^5)/a + a z^5 + 4 z^6 + z^6/a^10 - (16 z^6)/
  a^8 - (34 z^6)/a^6 - (28 z^6)/a^4 - (7 z^6)/a^2 + (4 z^7)/a^9 - (
  7 z^7)/a^7 - (18 z^7)/a^5 + (7 z^7)/a + (7 z^8)/a^8 + (12 z^8)/
  a^6 + (13 z^8)/a^4 + (8 z^8)/a^2 + (6 z^9)/a^7 + (12 z^9)/a^5 + (
  6 z^9)/a^3 + (2 z^10)/a^6 + (2 z^10)/a^4, -5 - 2/a^2 - 6 a^2 - 
  2 a^4 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + z/a + 
  3 a z + 3 a^3 z + a^5 z - 3 z^2 + (2 z^2)/a^4 + z^2/a^2 - 
  3 a^2 z^2 - a^4 z^2 - z^3/a^5 + (4 z^3)/a^3 + (9 z^3)/a + 8 a z^3 + 
  7 a^3 z^3 + 3 a^5 z^3 + 31 z^4 - (6 z^4)/a^4 + (2 z^4)/a^2 + 
  36 a^2 z^4 + 12 a^4 z^4 - a^6 z^4 + z^5/a^5 - (10 z^5)/a^3 - (
  12 z^5)/a - 2 a z^5 - 11 a^3 z^5 - 10 a^5 z^5 - 39 z^6 + (4 z^6)/
  a^4 - (9 z^6)/a^2 - 48 a^2 z^6 - 21 a^4 z^6 + a^6 z^6 + (7 z^7)/
  a^3 - 19 a z^7 - 7 a^3 z^7 + 5 a^5 z^7 + 15 z^8 + (8 z^8)/a^2 + 
  16 a^2 z^8 + 9 a^4 z^8 + (6 z^9)/a + 13 a z^9 + 7 a^3 z^9 + 
  2 z^10 + 2 a^2 z^10, -5 - 2/a^4 - 6/a^2 - 2 a^2 + 2/z^2 + 1/(
  a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + z/a^5 + (3 z)/a^3 + (3 z)/
  a + a z - 7 z^2 + (2 z^2)/a^6 + (5 z^2)/a^4 + z^2/a^2 - 
  5 a^2 z^2 - (3 z^3)/a^7 - (3 z^3)/a^5 + (2 z^3)/a^3 + 2 a^3 z^3 + 
  40 z^4 + z^4/a^8 - (7 z^4)/a^6 - (4 z^4)/a^4 + (28 z^4)/a^2 + 
  16 a^2 z^4 + (4 z^5)/a^7 - (6 z^5)/a^5 - (5 z^5)/a^3 + (19 z^5)/a + 
  11 a z^5 - 3 a^3 z^5 - 36 z^6 + (7 z^6)/a^6 - (8 z^6)/a^4 - (
  36 z^6)/a^2 - 15 a^2 z^6 + (8 z^7)/a^5 - (6 z^7)/a^3 - (31 z^7)/a - 
  16 a z^7 + a^3 z^7 + 5 z^8 + (8 z^8)/a^4 + (9 z^8)/a^2 + 
  4 a^2 z^8 + (6 z^9)/a^3 + (11 z^9)/a + 5 a z^9 + 2 z^10 + (2 z^10)/
  a^2, -3 a^2 - 4 a^4 - a^6 + a^8 + a^2/z^2 + (2 a^4)/z^2 + a^6/
  z^2 - (2 a^3)/z - (2 a^5)/z + 4 a^3 z + 4 a^5 z - 6 z^2 - 
  13 a^2 z^2 - 9 a^4 z^2 - 2 a^6 z^2 + (5 z^3)/a + 6 a z^3 + 
  3 a^3 z^3 + 5 a^5 z^3 + 3 a^7 z^3 + 17 z^4 - (2 z^4)/a^2 + 
  47 a^2 z^4 + 36 a^4 z^4 + 3 a^6 z^4 - 5 a^8 z^4 - (10 z^5)/a - 
  2 a z^5 + 7 a^3 z^5 - 16 a^5 z^5 - 14 a^7 z^5 + a^9 z^5 - 19 z^6 + 
  z^6/a^2 - 45 a^2 z^6 - 44 a^4 z^6 - 14 a^6 z^6 + 5 a^8 z^6 + (
  4 z^7)/a - 9 a z^7 - 22 a^3 z^7 + a^5 z^7 + 10 a^7 z^7 + 7 z^8 + 
  13 a^2 z^8 + 17 a^4 z^8 + 11 a^6 z^8 + 6 a z^9 + 13 a^3 z^9 + 
  7 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 1 - a^2 - 4 a^4 - 3 a^6 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/
  z - (2 a^5)/z + 4 a^3 z + 4 a^5 z - 2 z^2 + (2 z^2)/a^2 - 
  14 a^2 z^2 - 13 a^4 z^2 - 3 a^6 z^2 - (2 z^3)/a^3 + (3 z^3)/a + 
  2 a z^3 - 9 a^3 z^3 - 5 a^5 z^3 + a^7 z^3 + 2 z^4 + z^4/a^4 - (
  8 z^4)/a^2 + 39 a^2 z^4 + 45 a^4 z^4 + 17 a^6 z^4 + (4 z^5)/a^3 - (
  12 z^5)/a - 6 a z^5 + 30 a^3 z^5 + 17 a^5 z^5 - 3 a^7 z^5 - 
  11 z^6 + (8 z^6)/a^2 - 38 a^2 z^6 - 35 a^4 z^6 - 16 a^6 z^6 + (
  10 z^7)/a - 5 a z^7 - 34 a^3 z^7 - 18 a^5 z^7 + a^7 z^7 + 9 z^8 + 
  9 a^2 z^8 + 4 a^4 z^8 + 4 a^6 z^8 + 6 a z^9 + 11 a^3 z^9 + 
  5 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 1 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z - 20 z^2 - (
  6 z^2)/a^4 - (20 z^2)/a^2 - 4 a^2 z^2 + 2 a^4 z^2 + (6 z^3)/a^5 + (
  10 z^3)/a^3 + (5 z^3)/a + 7 a z^3 + 5 a^3 z^3 - a^5 z^3 + 43 z^4 - (
  2 z^4)/a^6 + (16 z^4)/a^4 + (48 z^4)/a^2 + 8 a^2 z^4 - 5 a^4 z^4 - (
  10 z^5)/a^5 - (7 z^5)/a^3 + (3 z^5)/a - 12 a z^5 - 11 a^3 z^5 + 
  a^5 z^5 - 45 z^6 + z^6/a^6 - (18 z^6)/a^4 - (46 z^6)/a^2 - 
  14 a^2 z^6 + 4 a^4 z^6 + (4 z^7)/a^5 - (7 z^7)/a^3 - (20 z^7)/a - 
  a z^7 + 8 a^3 z^7 + 17 z^8 + (7 z^8)/a^4 + (14 z^8)/a^2 + 
  10 a^2 z^8 + (6 z^9)/a^3 + (13 z^9)/a + 7 a z^9 + 2 z^10 + (2 z^10)/
  a^2, 10 - 1/a^8 + 14/a^4 + 23/a^2 - a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(
  a^4 z^2) - 5/(a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(
  a z) + z/a^9 - (2 z)/a^7 - (21 z)/a^5 - (41 z)/a^3 - (23 z)/a - 
  18 z^2 + (3 z^2)/a^8 + (4 z^2)/a^6 - (22 z^2)/a^4 - (44 z^2)/a^2 + 
  3 a^2 z^2 - (2 z^3)/a^9 + (3 z^3)/a^7 + (37 z^3)/a^5 + (68 z^3)/
  a^3 + (39 z^3)/a + 3 a z^3 + 18 z^4 - (5 z^4)/a^8 - z^4/a^6 + (
  35 z^4)/a^4 + (52 z^4)/a^2 - 3 a^2 z^4 + z^5/a^9 - (6 z^5)/a^7 - (
  29 z^5)/a^5 - (48 z^5)/a^3 - (32 z^5)/a - 6 a z^5 - 15 z^6 + (
  3 z^6)/a^8 - (5 z^6)/a^6 - (38 z^6)/a^4 - (46 z^6)/a^2 + a^2 z^6 + (
  5 z^7)/a^7 + (7 z^7)/a^5 + (3 z^7)/a^3 + (4 z^7)/a + 3 a z^7 + 
  6 z^8 + (6 z^8)/a^6 + (16 z^8)/a^4 + (16 z^8)/a^2 + (4 z^9)/a^5 + (
  8 z^9)/a^3 + (4 z^9)/a + z^10/a^4 + z^10/a^2, -2 a^2 + 6 a^4 + 
  22 a^6 + 21 a^8 + 6 a^10 - (2 a^4)/z^2 - (5 a^6)/z^2 - (4 a^8)/z^2 -
   a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/z + a^3 z - 
  15 a^5 z - 35 a^7 z - 25 a^9 z - 5 a^11 z + a^13 z + 5 a^2 z^2 - 
  6 a^4 z^2 - 44 a^6 z^2 - 45 a^8 z^2 - 11 a^10 z^2 + a^12 z^2 + 
  2 a^3 z^3 + 14 a^5 z^3 + 43 a^7 z^3 + 41 a^9 z^3 + 8 a^11 z^3 - 
  2 a^13 z^3 - 4 a^2 z^4 + 4 a^4 z^4 + 49 a^6 z^4 + 55 a^8 z^4 + 
  10 a^10 z^4 - 4 a^12 z^4 - 5 a^3 z^5 - 5 a^5 z^5 - 18 a^7 z^5 - 
  29 a^9 z^5 - 10 a^11 z^5 + a^13 z^5 + a^2 z^6 - 6 a^4 z^6 - 
  32 a^6 z^6 - 39 a^8 z^6 - 11 a^10 z^6 + 3 a^12 z^6 + 2 a^3 z^7 - 
  3 a^5 z^7 - 6 a^7 z^7 + 5 a^9 z^7 + 6 a^11 z^7 + 3 a^4 z^8 + 
  9 a^6 z^8 + 13 a^8 z^8 + 7 a^10 z^8 + 3 a^5 z^9 + 7 a^7 z^9 + 
  4 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 1 - 3 a^2 - 8 a^4 - 3 a^6 + 4 a^8 + 2 a^10 + a^2/z^2 + (2 a^4)/z^2 + 
  a^6/z^2 - (2 a^3)/z - (2 a^5)/z + 6 a^3 z + 8 a^5 z - 4 a^9 z - 
  2 a^11 z - 2 z^2 + 3 a^2 z^2 + 13 a^4 z^2 - 3 a^6 z^2 - 
  18 a^8 z^2 - 7 a^10 z^2 - 2 a z^3 - 5 a^3 z^3 - 10 a^5 z^3 - 
  a^7 z^3 + 11 a^9 z^3 + 5 a^11 z^3 + z^4 - 3 a^2 z^4 - 9 a^4 z^4 + 
  19 a^6 z^4 + 38 a^8 z^4 + 14 a^10 z^4 + 2 a z^5 + 6 a^5 z^5 + 
  10 a^7 z^5 - 2 a^9 z^5 - 4 a^11 z^5 + 3 a^2 z^6 - 21 a^6 z^6 - 
  30 a^8 z^6 - 12 a^10 z^6 + 3 a^3 z^7 - 5 a^5 z^7 - 17 a^7 z^7 - 
  8 a^9 z^7 + a^11 z^7 + 3 a^4 z^8 + 5 a^6 z^8 + 5 a^8 z^8 + 
  3 a^10 z^8 + 3 a^5 z^9 + 6 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + 
  a^8 z^10, 
 1 - 3/a^6 - 4/a^4 - 1/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(
  a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (4 z)/a^5 + (4 z)/a^3 - 6 z^2 + (
  2 z^2)/a^8 + z^2/a^6 - (11 z^2)/a^4 - (16 z^2)/a^2 - z^3/a^9 + (
  2 z^3)/a^7 - z^3/a^5 - (7 z^3)/a^3 + z^3/a + 4 a z^3 + 17 z^4 - (
  6 z^4)/a^8 + (3 z^4)/a^6 + (37 z^4)/a^4 + (47 z^4)/a^2 - 2 a^2 z^4 +
   z^5/a^9 - (10 z^5)/a^7 - z^5/a^5 + (24 z^5)/a^3 + (4 z^5)/a - 
  10 a z^5 - 20 z^6 + (4 z^6)/a^8 - (11 z^6)/a^6 - (35 z^6)/a^4 - (
  41 z^6)/a^2 + a^2 z^6 + (7 z^7)/a^7 - (5 z^7)/a^5 - (28 z^7)/a^3 - (
  12 z^7)/a + 4 a z^7 + 7 z^8 + (8 z^8)/a^6 + (11 z^8)/a^4 + (10 z^8)/
  a^2 + (6 z^9)/a^5 + (12 z^9)/a^3 + (6 z^9)/a + (2 z^10)/a^4 + (
  2 z^10)/a^2, -(1/a^10) - 1/a^8 - 1/a^6 - 2/a^4 - 2/a^2 + 1/(
  a^6 z^2) + 2/(a^4 z^2) + 1/(a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) - (
  2 z)/a^9 - (6 z)/a^7 - (2 z)/a^5 + (2 z)/a^3 + (3 z^2)/a^10 + (
  4 z^2)/a^8 - (9 z^2)/a^6 - (15 z^2)/a^4 - (5 z^2)/a^2 - z^3/a^11 + (
  9 z^3)/a^9 + (21 z^3)/a^7 + (10 z^3)/a^5 + z^3/a^3 + (2 z^3)/a + 
  z^4/a^12 - (8 z^4)/a^10 + (38 z^4)/a^6 + (46 z^4)/a^4 + (17 z^4)/
  a^2 + (4 z^5)/a^11 - (18 z^5)/a^9 - (27 z^5)/a^7 + (8 z^5)/a^5 + (
  10 z^5)/a^3 - (3 z^5)/a + (9 z^6)/a^10 - (15 z^6)/a^8 - (49 z^6)/
  a^6 - (40 z^6)/a^4 - (15 z^6)/a^2 + (13 z^7)/a^9 + z^7/a^7 - (
  28 z^7)/a^5 - (15 z^7)/a^3 + z^7/a + (12 z^8)/a^8 + (15 z^8)/a^6 + (
  7 z^8)/a^4 + (4 z^8)/a^2 + (7 z^9)/a^7 + (12 z^9)/a^5 + (5 z^9)/
  a^3 + (2 z^10)/a^6 + (2 z^10)/a^4, 
 6 a^4 + 13 a^6 + 9 a^8 - a^12 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (
  2 a^5)/z + (2 a^7)/z - 5 a^5 z - 8 a^7 z - 3 a^9 z + a^11 z + 
  a^13 z + 2 a^2 z^2 - 14 a^4 z^2 - 38 a^6 z^2 - 23 a^8 z^2 + 
  2 a^10 z^2 + 3 a^12 z^2 + 4 a^3 z^3 + 3 a^5 z^3 + 7 a^7 z^3 + 
  9 a^9 z^3 - a^11 z^3 - 2 a^13 z^3 - 3 a^2 z^4 + 16 a^4 z^4 + 
  54 a^6 z^4 + 38 a^8 z^4 - 3 a^10 z^4 - 6 a^12 z^4 - 8 a^3 z^5 + 
  2 a^5 z^5 + 9 a^7 z^5 - 7 a^9 z^5 - 5 a^11 z^5 + a^13 z^5 + 
  a^2 z^6 - 15 a^4 z^6 - 37 a^6 z^6 - 27 a^8 z^6 - 3 a^10 z^6 + 
  3 a^12 z^6 + 3 a^3 z^7 - 8 a^5 z^7 - 15 a^7 z^7 + 4 a^11 z^7 + 
  5 a^4 z^8 + 9 a^6 z^8 + 8 a^8 z^8 + 4 a^10 z^8 + 4 a^5 z^9 + 
  7 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 3 - 1/a^2 + 11 a^2 + 11 a^4 + 3 a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/
  z^2 + (2 a)/z + (2 a^3)/z - z/a - 8 a z - 12 a^3 z - 7 a^5 z - 
  2 a^7 z + (4 z^2)/a^2 - 29 a^2 z^2 - 34 a^4 z^2 - 9 a^6 z^2 - z^3/
  a^3 + (7 z^3)/a + 20 a z^3 + 24 a^3 z^3 + 17 a^5 z^3 + 5 a^7 z^3 - 
  2 z^4 + z^4/a^4 - (9 z^4)/a^2 + 47 a^2 z^4 + 55 a^4 z^4 + 
  16 a^6 z^4 + (4 z^5)/a^3 - (16 z^5)/a - 29 a z^5 - 11 a^3 z^5 - 
  6 a^5 z^5 - 4 a^7 z^5 - 10 z^6 + (9 z^6)/a^2 - 48 a^2 z^6 - 
  41 a^4 z^6 - 12 a^6 z^6 + (12 z^7)/a + 6 a z^7 - 13 a^3 z^7 - 
  6 a^5 z^7 + a^7 z^7 + 10 z^8 + 16 a^2 z^8 + 9 a^4 z^8 + 3 a^6 z^8 + 
  5 a z^9 + 8 a^3 z^9 + 3 a^5 z^9 + a^2 z^10 + a^4 z^10, 
 8 + 1/a^8 + 5/a^4 + 13/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - (11 z)/a^3 - (11 z)/a - 18 z^2 - (2 z^2)/a^10 - (
  2 z^2)/a^8 - (3 z^2)/a^6 - (10 z^2)/a^4 - (25 z^2)/a^2 + z^3/
  a^11 - (3 z^3)/a^9 - (2 z^3)/a^5 + (6 z^3)/a^3 + (12 z^3)/a + 
  17 z^4 + (3 z^4)/a^10 - (3 z^4)/a^8 + (8 z^4)/a^6 + (19 z^4)/a^4 + (
  22 z^4)/a^2 + (4 z^5)/a^9 - (6 z^5)/a^7 + (8 z^5)/a^5 + (18 z^5)/
  a^3 - 7 z^6 + (4 z^6)/a^8 - (11 z^6)/a^6 - (13 z^6)/a^4 - (5 z^6)/
  a^2 + (4 z^7)/a^7 - (10 z^7)/a^5 - (18 z^7)/a^3 - (4 z^7)/a + z^8 + 
  (4 z^8)/a^6 - (3 z^8)/a^2 + (3 z^9)/a^5 + (4 z^9)/a^3 + z^9/a + 
  z^10/a^4 + z^10/a^2, 
 3 - 2/a^6 + 3/a^4 + 9/a^2 - 2 a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) + z/a^5 - (8 z)/a^3 - (8 z)/a + 
  a z - 4 z^2 + (4 z^2)/a^8 + (5 z^2)/a^6 - (4 z^2)/a^4 - (14 z^2)/
  a^2 + 5 a^2 z^2 - (2 z^3)/a^9 + (3 z^3)/a^7 - z^3/a^5 + (5 z^3)/
  a^3 + (13 z^3)/a + 2 a z^3 + 5 z^4 - (7 z^4)/a^8 + (7 z^4)/a^4 + (
  9 z^4)/a^2 - 4 a^2 z^4 + z^5/a^9 - (7 z^5)/a^7 + (3 z^5)/a^5 + (
  4 z^5)/a^3 - (12 z^5)/a - 5 a z^5 - 7 z^6 + (3 z^6)/a^8 - (5 z^6)/
  a^6 - (8 z^6)/a^4 - (8 z^6)/a^2 + a^2 z^6 + (4 z^7)/a^7 - (3 z^7)/
  a^5 - (8 z^7)/a^3 + z^7/a + 2 a z^7 + 3 z^8 + (4 z^8)/a^6 + (4 z^8)/
  a^4 + (3 z^8)/a^2 + (3 z^9)/a^5 + (5 z^9)/a^3 + (2 z^9)/a + z^10/
  a^4 + z^10/a^2, 
 3 - 2/a^6 + 3/a^4 + 9/a^2 - 2 a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) + z/a^5 - (8 z)/a^3 - (8 z)/a + 
  a z - 5 z^2 + (2 z^2)/a^8 + (2 z^2)/a^6 - (5 z^2)/a^4 - (15 z^2)/
  a^2 + 5 a^2 z^2 - z^3/a^9 + (3 z^3)/a^7 + (3 z^3)/a^5 + (13 z^3)/
  a^3 + (16 z^3)/a + 2 a z^3 + 6 z^4 - (6 z^4)/a^8 + z^4/a^6 + (
  12 z^4)/a^4 + (15 z^4)/a^2 - 4 a^2 z^4 + z^5/a^9 - (11 z^5)/a^7 - (
  8 z^5)/a^5 - (5 z^5)/a^3 - (14 z^5)/a - 5 a z^5 - 7 z^6 + (4 z^6)/
  a^8 - (9 z^6)/a^6 - (18 z^6)/a^4 - (13 z^6)/a^2 + a^2 z^6 + (7 z^7)/
  a^7 + z^7/a^5 - (6 z^7)/a^3 + (2 z^7)/a + 2 a z^7 + 3 z^8 + (7 z^8)/
  a^6 + (9 z^8)/a^4 + (5 z^8)/a^2 + (4 z^9)/a^5 + (6 z^9)/a^3 + (
  2 z^9)/a + z^10/a^4 + z^10/a^2, 
 3 + 3/a^6 + 11/a^4 + 11/a^2 - a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) - (2 z)/a^7 - (7 z)/a^5 - (12 z)/
  a^3 - (8 z)/a - a z + z^2/a^8 - (7 z^2)/a^6 - (31 z^2)/a^4 - (
  26 z^2)/a^2 + 3 a^2 z^2 - z^3/a^9 + (6 z^3)/a^7 + (20 z^3)/a^5 + (
  24 z^3)/a^3 + (17 z^3)/a + 6 a z^3 + z^4 - (5 z^4)/a^8 + (11 z^4)/
  a^6 + (47 z^4)/a^4 + (35 z^4)/a^2 - 3 a^2 z^4 + z^5/a^9 - (13 z^5)/
  a^7 - (20 z^5)/a^5 - (15 z^5)/a^3 - (17 z^5)/a - 8 a z^5 - 7 z^6 + (
  4 z^6)/a^8 - (15 z^6)/a^6 - (42 z^6)/a^4 - (31 z^6)/a^2 + 
  a^2 z^6 + (8 z^7)/a^7 + (3 z^7)/a^5 - (6 z^7)/a^3 + (2 z^7)/a + 
  3 a z^7 + 4 z^8 + (9 z^8)/a^6 + (16 z^8)/a^4 + (11 z^8)/a^2 + (
  5 z^9)/a^5 + (8 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + z^10/a^2, 
 6 + 13 a^2 + 9 a^4 - a^8 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - 5 a z - 8 a^3 z - 3 a^5 z + a^7 z + a^9 z - 14 z^2 +
   z^2/a^2 - 44 a^2 z^2 - 31 a^4 z^2 + a^6 z^2 + 3 a^8 z^2 + (4 z^3)/
  a + 2 a z^3 + 4 a^3 z^3 + 6 a^5 z^3 - 2 a^7 z^3 - 2 a^9 z^3 + 
  21 z^4 - (3 z^4)/a^2 + 67 a^2 z^4 + 47 a^4 z^4 - 2 a^6 z^4 - 
  6 a^8 z^4 - (9 z^5)/a + 7 a z^5 + 19 a^3 z^5 - 3 a^5 z^5 - 
  5 a^7 z^5 + a^9 z^5 - 18 z^6 + z^6/a^2 - 41 a^2 z^6 - 29 a^4 z^6 - 
  4 a^6 z^6 + 3 a^8 z^6 + (3 z^7)/a - 11 a z^7 - 20 a^3 z^7 - 
  2 a^5 z^7 + 4 a^7 z^7 + 5 z^8 + 8 a^2 z^8 + 7 a^4 z^8 + 4 a^6 z^8 + 
  4 a z^9 + 7 a^3 z^9 + 3 a^5 z^9 + a^2 z^10 + a^4 z^10, 
 11 - 1/a^6 + 3/a^4 + 11/a^2 + 3 a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) - z/a^5 - (8 z)/a^3 - (12 z)/a - 
  7 a z - 2 a^3 z - 32 z^2 - z^2/a^8 + (3 z^2)/a^6 - (5 z^2)/a^4 - (
  32 z^2)/a^2 - 9 a^2 z^2 - (3 z^3)/a^7 + (5 z^3)/a^5 + (16 z^3)/
  a^3 + (18 z^3)/a + 15 a z^3 + 5 a^3 z^3 + 52 z^4 + z^4/a^8 - (
  6 z^4)/a^6 + (8 z^4)/a^4 + (52 z^4)/a^2 + 15 a^2 z^4 + (3 z^5)/
  a^7 - (8 z^5)/a^5 - (10 z^5)/a^3 - 5 a z^5 - 4 a^3 z^5 - 38 z^6 + (
  5 z^6)/a^6 - (10 z^6)/a^4 - (41 z^6)/a^2 - 12 a^2 z^6 + (6 z^7)/
  a^5 - (3 z^7)/a^3 - (17 z^7)/a - 7 a z^7 + a^3 z^7 + 7 z^8 + (
  6 z^8)/a^4 + (10 z^8)/a^2 + 3 a^2 z^8 + (4 z^9)/a^3 + (7 z^9)/a + 
  3 a z^9 + z^10 + z^10/a^2, 
 6 - 1/a^8 + 9/a^4 + 13/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) + z/a^9 + z/a^7 - (3 z)/a^5 - (8 z)/a^3 - (5 z)/
  a - 13 z^2 - z^2/a^10 + (2 z^2)/a^8 - (31 z^2)/a^4 - (41 z^2)/a^2 + 
  z^3/a^11 - (4 z^3)/a^9 - (3 z^3)/a^7 + (9 z^3)/a^5 + (4 z^3)/a^3 - (
  3 z^3)/a + 13 z^4 + (3 z^4)/a^10 - (7 z^4)/a^8 + (5 z^4)/a^6 + (
  56 z^4)/a^4 + (54 z^4)/a^2 + (5 z^5)/a^9 - (8 z^5)/a^7 - (3 z^5)/
  a^5 + (24 z^5)/a^3 + (14 z^5)/a - 6 z^6 + (6 z^6)/a^8 - (14 z^6)/
  a^6 - (39 z^6)/a^4 - (25 z^6)/a^2 + (6 z^7)/a^7 - (9 z^7)/a^5 - (
  25 z^7)/a^3 - (10 z^7)/a + z^8 + (6 z^8)/a^6 + (6 z^8)/a^4 + z^8/
  a^2 + (4 z^9)/a^5 + (6 z^9)/a^3 + (2 z^9)/a + z^10/a^4 + z^10/a^2, 
 11 + 3/a^2 + 11 a^2 + 3 a^4 - a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - (2 z)/a^3 - (7 z)/a - 12 a z - 8 a^3 z - 
  a^5 z - 37 z^2 + z^2/a^4 - (13 z^2)/a^2 - 28 a^2 z^2 - 2 a^4 z^2 + 
  3 a^6 z^2 - (2 z^3)/a^5 + (7 z^3)/a^3 + (16 z^3)/a + 16 a z^3 + 
  14 a^3 z^3 + 5 a^5 z^3 + 62 z^4 - (6 z^4)/a^4 + (21 z^4)/a^2 + 
  39 a^2 z^4 + a^4 z^4 - 3 a^6 z^4 + z^5/a^5 - (11 z^5)/a^3 - (4 z^5)/
  a + 3 a z^5 - 13 a^3 z^5 - 8 a^5 z^5 - 40 z^6 + (3 z^6)/a^4 - (
  16 z^6)/a^2 - 30 a^2 z^6 - 8 a^4 z^6 + a^6 z^6 + (5 z^7)/a^3 - (
  5 z^7)/a - 14 a z^7 - a^3 z^7 + 3 a^5 z^7 + 10 z^8 + (6 z^8)/a^2 + 
  8 a^2 z^8 + 4 a^4 z^8 + (4 z^9)/a + 7 a z^9 + 3 a^3 z^9 + z^10 + 
  a^2 z^10, 
 3 + 3/a^6 + 11/a^4 + 11/a^2 - a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) - (2 z)/a^7 - (7 z)/a^5 - (12 z)/
  a^3 - (8 z)/a - a z + (2 z^2)/a^8 - (8 z^2)/a^6 - (36 z^2)/a^4 - (
  29 z^2)/a^2 + 3 a^2 z^2 - (2 z^3)/a^9 + (7 z^3)/a^7 + (19 z^3)/
  a^5 + (19 z^3)/a^3 + (15 z^3)/a + 6 a z^3 - (6 z^4)/a^8 + (15 z^4)/
  a^6 + (52 z^4)/a^4 + (34 z^4)/a^2 - 3 a^2 z^4 + z^5/a^9 - (10 z^5)/
  a^7 - (9 z^5)/a^5 - (6 z^5)/a^3 - (16 z^5)/a - 8 a z^5 - 7 z^6 + (
  3 z^6)/a^8 - (13 z^6)/a^6 - (36 z^6)/a^4 - (28 z^6)/a^2 + 
  a^2 z^6 + (5 z^7)/a^7 - (2 z^7)/a^5 - (9 z^7)/a^3 + z^7/a + 
  3 a z^7 + 4 z^8 + (6 z^8)/a^6 + (11 z^8)/a^4 + (9 z^8)/a^2 + (
  4 z^9)/a^5 + (7 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + z^10/a^2, 
 5 + 8/a^4 + 13/a^2 + a^4 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - (11 z)/a^3 - (11 z)/a - 9 z^2 - (7 z^2)/a^6 - (
  23 z^2)/a^4 - (28 z^2)/a^2 + a^2 z^2 - 2 a^4 z^2 + (3 z^3)/a^7 - 
  z^3/a^5 + (8 z^3)/a^3 + (14 z^3)/a - 2 a^3 z^3 + 8 z^4 + (18 z^4)/
  a^6 + (35 z^4)/a^4 + (29 z^4)/a^2 - 3 a^2 z^4 + a^4 z^4 - (4 z^5)/
  a^7 + (11 z^5)/a^5 + (12 z^5)/a^3 - (7 z^5)/a - 2 a z^5 + 
  2 a^3 z^5 - 5 z^6 - (14 z^6)/a^6 - (22 z^6)/a^4 - (16 z^6)/a^2 + 
  3 a^2 z^6 + z^7/a^7 - (12 z^7)/a^5 - (17 z^7)/a^3 - z^7/a + 
  3 a z^7 + 3 z^8 + (3 z^8)/a^6 + (2 z^8)/a^4 + (2 z^8)/a^2 + (3 z^9)/
  a^5 + (5 z^9)/a^3 + (2 z^9)/a + z^10/a^4 + z^10/a^2, 
 9 - 1/a^4 + 13 a^2 + 6 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z + z/a^5 + z/a^3 - (3 z)/a - 8 a z - 5 a^3 z - 
  32 z^2 + (7 z^2)/a^4 + z^2/a^2 - 39 a^2 z^2 - 13 a^4 z^2 + z^3/
  a^7 - (4 z^3)/a^5 + (4 z^3)/a^3 + (12 z^3)/a + a z^3 - 2 a^3 z^3 + 
  56 z^4 + (3 z^4)/a^6 - (14 z^4)/a^4 + 52 a^2 z^4 + 13 a^4 z^4 + (
  6 z^5)/a^5 - (16 z^5)/a^3 - (12 z^5)/a + 24 a z^5 + 14 a^3 z^5 - 
  40 z^6 + (9 z^6)/a^4 - (13 z^6)/a^2 - 24 a^2 z^6 - 6 a^4 z^6 + (
  9 z^7)/a^3 - (5 z^7)/a - 24 a z^7 - 10 a^3 z^7 + 7 z^8 + (7 z^8)/
  a^2 + a^2 z^8 + a^4 z^8 + (4 z^9)/a + 6 a z^9 + 2 a^3 z^9 + z^10 + 
  a^2 z^10, 
 11 - 1/a^6 + 3/a^4 + 11/a^2 + 3 a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) - z/a^5 - (8 z)/a^3 - (12 z)/a - 
  7 a z - 2 a^3 z - 35 z^2 - z^2/a^8 + (4 z^2)/a^6 - (6 z^2)/a^4 - (
  37 z^2)/a^2 - 9 a^2 z^2 - (2 z^3)/a^7 + (11 z^3)/a^5 + (22 z^3)/
  a^3 + (20 z^3)/a + 16 a z^3 + 5 a^3 z^3 + 56 z^4 + z^4/a^8 - (
  6 z^4)/a^6 + (11 z^4)/a^4 + (58 z^4)/a^2 + 16 a^2 z^4 + (3 z^5)/
  a^7 - (14 z^5)/a^5 - (22 z^5)/a^3 - (7 z^5)/a - 6 a z^5 - 
  4 a^3 z^5 - 42 z^6 + (6 z^6)/a^6 - (15 z^6)/a^4 - (51 z^6)/a^2 - 
  12 a^2 z^6 + (9 z^7)/a^5 + z^7/a^3 - (15 z^7)/a - 6 a z^7 + 
  a^3 z^7 + 9 z^8 + (9 z^8)/a^4 + (15 z^8)/a^2 + 3 a^2 z^8 + (5 z^9)/
  a^3 + (8 z^9)/a + 3 a z^9 + z^10 + z^10/a^2, 
 11 + 3/a^2 + 11 a^2 + 3 a^4 - a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - (2 z)/a^3 - (7 z)/a - 12 a z - 8 a^3 z - 
  a^5 z - 32 z^2 + z^2/a^4 - (10 z^2)/a^2 - 27 a^2 z^2 - 3 a^4 z^2 + 
  3 a^6 z^2 - z^3/a^5 + (8 z^3)/a^3 + (19 z^3)/a + 19 a z^3 + 
  14 a^3 z^3 + 5 a^5 z^3 + 53 z^4 - (4 z^4)/a^4 + (16 z^4)/a^2 + 
  41 a^2 z^4 + 5 a^4 z^4 - 3 a^6 z^4 + z^5/a^5 - (13 z^5)/a^3 - (
  19 z^5)/a - 8 a z^5 - 10 a^3 z^5 - 7 a^5 z^5 - 53 z^6 + (4 z^6)/
  a^4 - (20 z^6)/a^2 - 39 a^2 z^6 - 9 a^4 z^6 + a^6 z^6 + (9 z^7)/
  a^3 - z^7/a - 16 a z^7 - 3 a^3 z^7 + 3 a^5 z^7 + 20 z^8 + (12 z^8)/
  a^2 + 13 a^2 z^8 + 5 a^4 z^8 + (8 z^9)/a + 13 a z^9 + 5 a^3 z^9 + 
  2 z^10 + 2 a^2 z^10, 
 5 + 8/a^4 + 13/a^2 + a^4 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - (11 z)/a^3 - (11 z)/a - 10 z^2 - (9 z^2)/a^6 - (
  26 z^2)/a^4 - (29 z^2)/a^2 - 2 a^4 z^2 + (4 z^3)/a^7 + (2 z^3)/
  a^5 + (17 z^3)/a^3 + (23 z^3)/a + 2 a z^3 - 2 a^3 z^3 + 15 z^4 + (
  18 z^4)/a^6 + (39 z^4)/a^4 + (39 z^4)/a^2 - 2 a^2 z^4 + a^4 z^4 - (
  4 z^5)/a^7 + (4 z^5)/a^5 - (2 z^5)/a^3 - (16 z^5)/a - 4 a z^5 + 
  2 a^3 z^5 - 11 z^6 - (13 z^6)/a^6 - (29 z^6)/a^4 - (30 z^6)/a^2 + 
  3 a^2 z^6 + z^7/a^7 - (9 z^7)/a^5 - (14 z^7)/a^3 + 4 a z^7 + 
  5 z^8 + (3 z^8)/a^6 + (5 z^8)/a^4 + (7 z^8)/a^2 + (3 z^9)/a^5 + (
  6 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + z^10/a^2, 
 9 + 6/a^4 + 13/a^2 - a^4 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - (5 z)/a^3 - (8 z)/a - 3 a z + a^3 z + a^5 z - 
  28 z^2 + (2 z^2)/a^6 - (13 z^2)/a^4 - (39 z^2)/a^2 - a^2 z^2 + 
  3 a^4 z^2 + (5 z^3)/a^5 + (6 z^3)/a^3 + (8 z^3)/a + 10 a z^3 + 
  a^3 z^3 - 2 a^5 z^3 + 44 z^4 - (3 z^4)/a^6 + (16 z^4)/a^4 + (
  55 z^4)/a^2 + 3 a^2 z^4 - 5 a^4 z^4 - (8 z^5)/a^5 - (3 z^5)/a^3 - 
  12 a z^5 - 6 a^3 z^5 + a^5 z^5 - 36 z^6 + z^6/a^6 - (14 z^6)/a^4 - (
  41 z^6)/a^2 - 7 a^2 z^6 + 3 a^4 z^6 + (3 z^7)/a^5 - (5 z^7)/a^3 - (
  11 z^7)/a + 2 a z^7 + 5 a^3 z^7 + 13 z^8 + (5 z^8)/a^4 + (12 z^8)/
  a^2 + 6 a^2 z^8 + (4 z^9)/a^3 + (8 z^9)/a + 4 a z^9 + z^10 + z^10/
  a^2, 6 + 13 a^2 + 9 a^4 - a^8 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - 5 a z - 8 a^3 z - 3 a^5 z + a^7 z + a^9 z - 
  11 z^2 + z^2/a^2 - 39 a^2 z^2 - 30 a^4 z^2 + 3 a^8 z^2 + (4 z^3)/
  a + 6 a z^3 + 10 a^3 z^3 + 10 a^5 z^3 - 2 a^9 z^3 + 16 z^4 - (
  2 z^4)/a^2 + 59 a^2 z^4 + 52 a^4 z^4 + 6 a^6 z^4 - 5 a^8 z^4 - (
  8 z^5)/a - 5 a z^5 + 3 a^3 z^5 - 6 a^5 z^5 - 5 a^7 z^5 + a^9 z^5 - 
  19 z^6 + z^6/a^2 - 53 a^2 z^6 - 45 a^4 z^6 - 9 a^6 z^6 + 
  3 a^8 z^6 + (4 z^7)/a - 9 a z^7 - 21 a^3 z^7 - 3 a^5 z^7 + 
  5 a^7 z^7 + 8 z^8 + 16 a^2 z^8 + 15 a^4 z^8 + 7 a^6 z^8 + 7 a z^9 + 
  13 a^3 z^9 + 6 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 3 + 5 a^2 + 3 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/z + (
  2 a^3)/z - 3 a z - 3 a^3 z - 6 z^2 + z^2/a^2 - 20 a^2 z^2 - 
  14 a^4 z^2 - a^6 z^2 + (5 z^3)/a + 8 a z^3 + 12 a^3 z^3 + 
  13 a^5 z^3 + 4 a^7 z^3 + 13 z^4 - (2 z^4)/a^2 + 45 a^2 z^4 + 
  40 a^4 z^4 + 6 a^6 z^4 - 4 a^8 z^4 - (9 z^5)/a - 8 a z^5 - 
  7 a^3 z^5 - 24 a^5 z^5 - 15 a^7 z^5 + a^9 z^5 - 16 z^6 + z^6/a^2 - 
  47 a^2 z^6 - 53 a^4 z^6 - 18 a^6 z^6 + 5 a^8 z^6 + (4 z^7)/a - 
  5 a z^7 - 17 a^3 z^7 + 3 a^5 z^7 + 11 a^7 z^7 + 7 z^8 + 
  16 a^2 z^8 + 22 a^4 z^8 + 13 a^6 z^8 + 6 a z^9 + 14 a^3 z^9 + 
  8 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 3 + 5 a^2 + 3 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/z + (
  2 a^3)/z - 3 a z - 3 a^3 z - 14 z^2 + z^2/a^4 - (3 z^2)/a^2 - 
  18 a^2 z^2 - 7 a^4 z^2 + a^6 z^2 - z^3/a^5 + (4 z^3)/a^3 + (6 z^3)/
  a + a z^3 + 4 a^3 z^3 + 4 a^5 z^3 + 39 z^4 - (6 z^4)/a^4 + (7 z^4)/
  a^2 + 40 a^2 z^4 + 12 a^4 z^4 - 2 a^6 z^4 + z^5/a^5 - (11 z^5)/
  a^3 - (5 z^5)/a + 14 a z^5 - 2 a^3 z^5 - 9 a^5 z^5 - 37 z^6 + (
  4 z^6)/a^4 - (12 z^6)/a^2 - 39 a^2 z^6 - 17 a^4 z^6 + a^6 z^6 + (
  7 z^7)/a^3 - (4 z^7)/a - 24 a z^7 - 9 a^3 z^7 + 4 a^5 z^7 + 
  12 z^8 + (8 z^8)/a^2 + 11 a^2 z^8 + 7 a^4 z^8 + (6 z^9)/a + 
  12 a z^9 + 6 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 1 + 8/a^8 + 13/a^6 + 5/a^4 - 1/(a^8 z^2) - 2/(a^6 z^2) - 1/(
  a^4 z^2) + 2/(a^7 z) + 2/(a^5 z) - (11 z)/a^7 - (11 z)/a^5 + (2 z^2)
  /a^10 - (20 z^2)/a^8 - (31 z^2)/a^6 - (10 z^2)/a^4 - z^2/a^2 + (
  3 z^3)/a^9 + (17 z^3)/a^7 + (17 z^3)/a^5 + (6 z^3)/a^3 + (3 z^3)/
  a - 5 z^4 - (3 z^4)/a^10 + (24 z^4)/a^8 + (46 z^4)/a^6 + (26 z^4)/
  a^4 + (2 z^4)/a^2 - (7 z^5)/a^9 - (7 z^5)/a^7 + z^5/a^5 - (14 z^5)/
  a^3 - (14 z^5)/a + a z^5 + 5 z^6 + z^6/a^10 - (18 z^6)/a^8 - (
  36 z^6)/a^6 - (36 z^6)/a^4 - (14 z^6)/a^2 + (3 z^7)/a^9 - (6 z^7)/
  a^7 - (19 z^7)/a^5 + (10 z^7)/a + (6 z^8)/a^8 + (10 z^8)/a^6 + (
  15 z^8)/a^4 + (11 z^8)/a^2 + (5 z^9)/a^7 + (12 z^9)/a^5 + (7 z^9)/
  a^3 + (2 z^10)/a^6 + (2 z^10)/a^4, -(2/a^10) + 3/a^8 + 9/a^6 + 3/
  a^4 - 2/a^2 - 1/(a^8 z^2) - 2/(a^6 z^2) - 1/(a^4 z^2) + 2/(a^7 z) + 
  2/(a^5 z) + z/a^9 - (8 z)/a^7 - (8 z)/a^5 + z/a^3 - z^2/a^12 + (
  6 z^2)/a^10 - (6 z^2)/a^8 - (24 z^2)/a^6 - (13 z^2)/a^4 - (2 z^2)/
  a^2 - (2 z^3)/a^11 + (2 z^3)/a^9 + (9 z^3)/a^7 - z^3/a^5 - (5 z^3)/
  a^3 + z^3/a + z^4/a^12 - (8 z^4)/a^10 + (8 z^4)/a^8 + (37 z^4)/
  a^6 + (36 z^4)/a^4 + (16 z^4)/a^2 + (3 z^5)/a^11 - (8 z^5)/a^9 - (
  4 z^5)/a^7 + (29 z^5)/a^5 + (19 z^5)/a^3 - (3 z^5)/a + (6 z^6)/
  a^10 - (11 z^6)/a^8 - (29 z^6)/a^6 - (28 z^6)/a^4 - (16 z^6)/a^2 + (
  7 z^7)/a^9 - (6 z^7)/a^7 - (33 z^7)/a^5 - (19 z^7)/a^3 + z^7/a + (
  7 z^8)/a^8 + (5 z^8)/a^6 + (2 z^8)/a^4 + (4 z^8)/a^2 + (5 z^9)/
  a^7 + (10 z^9)/a^5 + (5 z^9)/a^3 + (2 z^10)/a^6 + (2 z^10)/
  a^4, -2 a^2 + 3 a^4 + 9 a^6 + 3 a^8 - 2 a^10 - a^4/z^2 - (2 a^6)/
  z^2 - a^8/z^2 + (2 a^5)/z + (2 a^7)/z + a^3 z - 8 a^5 z - 8 a^7 z + 
  a^9 z - 4 a^2 z^2 - 14 a^4 z^2 - 22 a^6 z^2 - 6 a^8 z^2 + 
  6 a^10 z^2 + 2 a z^3 + 14 a^5 z^3 + 22 a^7 z^3 + 6 a^9 z^3 + 
  17 a^2 z^4 + 42 a^4 z^4 + 42 a^6 z^4 + 6 a^8 z^4 - 10 a^10 z^4 + 
  a^12 z^4 - 3 a z^5 + 11 a^3 z^5 + 4 a^5 z^5 - 32 a^7 z^5 - 
  18 a^9 z^5 + 4 a^11 z^5 - 15 a^2 z^6 - 38 a^4 z^6 - 50 a^6 z^6 - 
  17 a^8 z^6 + 10 a^10 z^6 + a z^7 - 15 a^3 z^7 - 26 a^5 z^7 + 
  4 a^7 z^7 + 14 a^9 z^7 + 4 a^2 z^8 + 7 a^4 z^8 + 16 a^6 z^8 + 
  13 a^8 z^8 + 5 a^3 z^9 + 12 a^5 z^9 + 7 a^7 z^9 + 2 a^4 z^10 + 
  2 a^6 z^10, 
 1 + 8/a^8 + 13/a^6 + 5/a^4 - 1/(a^8 z^2) - 2/(a^6 z^2) - 1/(
  a^4 z^2) + 2/(a^7 z) + 2/(a^5 z) - (11 z)/a^7 - (11 z)/a^5 + 2 z^2 +
   z^2/a^10 - (20 z^2)/a^8 - (31 z^2)/a^6 - (12 z^2)/a^4 + (2 z^3)/
  a^9 + (11 z^3)/a^7 - (7 z^3)/a^3 + z^3/a - a z^3 - 7 z^4 - (3 z^4)/
  a^10 + (28 z^4)/a^8 + (49 z^4)/a^6 + (24 z^4)/a^4 - z^4/a^2 - (
  8 z^5)/a^9 + (5 z^5)/a^7 + (32 z^5)/a^5 + (9 z^5)/a^3 - (9 z^5)/a + 
  a z^5 + 4 z^6 + z^6/a^10 - (22 z^6)/a^8 - (30 z^6)/a^6 - (18 z^6)/
  a^4 - (7 z^6)/a^2 + (3 z^7)/a^9 - (13 z^7)/a^7 - (30 z^7)/a^5 - (
  8 z^7)/a^3 + (6 z^7)/a + (6 z^8)/a^8 + (4 z^8)/a^6 + (4 z^8)/a^4 + (
  6 z^8)/a^2 + (5 z^9)/a^7 + (10 z^9)/a^5 + (5 z^9)/a^3 + (2 z^10)/
  a^6 + (2 z^10)/a^4, -11 - 2/a^4 - 8/a^2 - 8 a^2 - 2 a^4 + 2/z^2 + 
  1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + z/a^5 + (3 z)/a^3 + (
  4 z)/a + 4 a z + 3 a^3 z + a^5 z + 22 z^2 + z^2/a^4 + (10 z^2)/
  a^2 + 18 a^2 z^2 + 5 a^4 z^2 + (2 z^3)/a^5 + z^3/a^3 - z^3/a - 
  a z^3 - 3 a^3 z^3 - 2 a^5 z^3 - 7 z^4 - z^4/a^6 + (11 z^4)/a^4 + (
  16 z^4)/a^2 - 17 a^2 z^4 - 6 a^4 z^4 - (10 z^5)/a^5 - (2 z^5)/
  a^3 + (9 z^5)/a - 3 a z^5 - 3 a^3 z^5 + a^5 z^5 - 10 z^6 + z^6/
  a^6 - (22 z^6)/a^4 - (33 z^6)/a^2 + 3 a^2 z^6 + 3 a^4 z^6 + (5 z^7)/
  a^5 - (11 z^7)/a^3 - (20 z^7)/a + 4 a^3 z^7 + 6 z^8 + (9 z^8)/
  a^4 + (11 z^8)/a^2 + 4 a^2 z^8 + (7 z^9)/a^3 + (11 z^9)/a + 
  4 a z^9 + 2 z^10 + (2 z^10)/a^2, -9 + 2/a^6 + 2/a^4 - 6/a^2 - 
  4 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z - (2 z)/
  a^7 - (3 z)/a^5 + (3 z)/a^3 + (7 z)/a + 3 a z + 19 z^2 - (7 z^2)/
  a^6 - (13 z^2)/a^4 + (7 z^2)/a^2 + 6 a^2 z^2 - z^3/a^9 + (6 z^3)/
  a^7 + (8 z^3)/a^5 - (5 z^3)/a^3 - (4 z^3)/a + 2 a z^3 - 15 z^4 - (
  5 z^4)/a^8 + (15 z^4)/a^6 + (31 z^4)/a^4 - 4 a^2 z^4 + z^5/a^9 - (
  14 z^5)/a^7 - (7 z^5)/a^5 + (8 z^5)/a^3 - (5 z^5)/a - 5 a z^5 + 
  z^6 + (4 z^6)/a^8 - (18 z^6)/a^6 - (31 z^6)/a^4 - (9 z^6)/a^2 + 
  a^2 z^6 + (8 z^7)/a^7 - (2 z^7)/a^5 - (11 z^7)/a^3 + z^7/a + 
  2 a z^7 + 2 z^8 + (9 z^8)/a^6 + (12 z^8)/a^4 + (5 z^8)/a^2 + (
  5 z^9)/a^5 + (7 z^9)/a^3 + (2 z^9)/a + z^10/a^4 + z^10/a^2, -2 - 
  8 a^2 - 8 a^4 - 3 a^6 - a^8 - a^10 + a^2/z^2 + (2 a^4)/z^2 + a^6/
  z^2 - (2 a^3)/z - (2 a^5)/z + z/a + 3 a z + 5 a^3 z - a^5 z - 
  6 a^7 z - 2 a^9 z + 5 z^2 + 18 a^2 z^2 + 16 a^4 z^2 + 6 a^6 z^2 + 
  6 a^8 z^2 + 3 a^10 z^2 - (2 z^3)/a - 3 a z^3 + 3 a^3 z^3 + 
  12 a^5 z^3 + 15 a^7 z^3 + 7 a^9 z^3 - 6 z^4 - 15 a^2 z^4 - 
  9 a^4 z^4 - 3 a^8 z^4 - 3 a^10 z^4 + z^5/a - 3 a z^5 - 10 a^3 z^5 - 
  15 a^5 z^5 - 17 a^7 z^5 - 8 a^9 z^5 + 3 z^6 + 2 a^2 z^6 - 
  9 a^4 z^6 - 15 a^6 z^6 - 6 a^8 z^6 + a^10 z^6 + 4 a z^7 + 
  4 a^3 z^7 - a^5 z^7 + 2 a^7 z^7 + 3 a^9 z^7 + 4 a^2 z^8 + 
  8 a^4 z^8 + 8 a^6 z^8 + 4 a^8 z^8 + 3 a^3 z^9 + 6 a^5 z^9 + 
  3 a^7 z^9 + a^4 z^10 + a^6 z^10, 
 10 + 2/a^2 + 12 a^2 + 4 a^4 - a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - (2 z)/a^3 - (7 z)/a - 14 a z - 10 a^3 z - 
  a^5 z - 28 z^2 + (2 z^2)/a^4 - (4 z^2)/a^2 - 30 a^2 z^2 - 
  5 a^4 z^2 + 3 a^6 z^2 - z^3/a^5 + (7 z^3)/a^3 + (27 z^3)/a + 
  34 a z^3 + 20 a^3 z^3 + 5 a^5 z^3 + 46 z^4 - (5 z^4)/a^4 + (5 z^4)/
  a^2 + 46 a^2 z^4 + 7 a^4 z^4 - 3 a^6 z^4 + z^5/a^5 - (12 z^5)/
  a^3 - (33 z^5)/a - 31 a z^5 - 18 a^3 z^5 - 7 a^5 z^5 - 48 z^6 + (
  4 z^6)/a^4 - (11 z^6)/a^2 - 44 a^2 z^6 - 10 a^4 z^6 + a^6 z^6 + (
  8 z^7)/a^3 + (9 z^7)/a - a z^7 + a^3 z^7 + 3 a^5 z^7 + 20 z^8 + (
  9 z^8)/a^2 + 16 a^2 z^8 + 5 a^4 z^8 + (5 z^9)/a + 9 a z^9 + 
  4 a^3 z^9 + z^10 + a^2 z^10, -a^2 + 5 a^4 + 14 a^6 + 10 a^8 - a^12 -
   a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/z + (2 a^7)/z - 
  7 a^5 z - 10 a^7 z - 3 a^9 z + a^11 z + a^13 z + 4 a^2 z^2 - 
  9 a^4 z^2 - 40 a^6 z^2 - 29 a^8 z^2 + a^10 z^2 + 3 a^12 z^2 + 
  3 a^3 z^3 + 2 a^5 z^3 + 7 a^7 z^3 + 8 a^9 z^3 - 2 a^11 z^3 - 
  2 a^13 z^3 - 4 a^2 z^4 + 9 a^4 z^4 + 51 a^6 z^4 + 42 a^8 z^4 - 
  2 a^10 z^4 - 6 a^12 z^4 - 6 a^3 z^5 + 6 a^5 z^5 + 14 a^7 z^5 - 
  4 a^9 z^5 - 5 a^11 z^5 + a^13 z^5 + a^2 z^6 - 9 a^4 z^6 - 
  28 a^6 z^6 - 25 a^8 z^6 - 4 a^10 z^6 + 3 a^12 z^6 + 2 a^3 z^7 - 
  8 a^5 z^7 - 16 a^7 z^7 - 2 a^9 z^7 + 4 a^11 z^7 + 3 a^4 z^8 + 
  5 a^6 z^8 + 6 a^8 z^8 + 4 a^10 z^8 + 3 a^5 z^9 + 6 a^7 z^9 + 
  3 a^9 z^9 + a^6 z^10 + a^8 z^10, -2 a^2 + 2 a^4 + 12 a^6 + 12 a^8 + 
  3 a^10 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/z + (2 a^7)/z - 
  a^3 z - 10 a^5 z - 14 a^7 z - 7 a^9 z - 2 a^11 z - z^2 + 
  6 a^2 z^2 + 4 a^4 z^2 - 28 a^6 z^2 - 34 a^8 z^2 - 9 a^10 z^2 - 
  2 a z^3 + 8 a^3 z^3 + 22 a^5 z^3 + 25 a^7 z^3 + 18 a^9 z^3 + 
  5 a^11 z^3 + z^4 - 7 a^2 z^4 - 4 a^4 z^4 + 39 a^6 z^4 + 
  51 a^8 z^4 + 16 a^10 z^4 + 3 a z^5 - 11 a^3 z^5 - 24 a^5 z^5 - 
  13 a^7 z^5 - 7 a^9 z^5 - 4 a^11 z^5 + 6 a^2 z^6 - 6 a^4 z^6 - 
  38 a^6 z^6 - 38 a^8 z^6 - 12 a^10 z^6 + 8 a^3 z^7 + 4 a^5 z^7 - 
  11 a^7 z^7 - 6 a^9 z^7 + a^11 z^7 + 7 a^4 z^8 + 12 a^6 z^8 + 
  8 a^8 z^8 + 3 a^10 z^8 + 4 a^5 z^9 + 7 a^7 z^9 + 3 a^9 z^9 + 
  a^6 z^10 + a^8 z^10, -a^2 + 5 a^4 + 14 a^6 + 10 a^8 - a^12 - a^4/
  z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/z + (2 a^7)/z - 7 a^5 z - 
  10 a^7 z - 3 a^9 z + a^11 z + a^13 z + 3 a^2 z^2 - 7 a^4 z^2 - 
  36 a^6 z^2 - 31 a^8 z^2 - 2 a^10 z^2 + 3 a^12 z^2 + 4 a^3 z^3 + 
  12 a^5 z^3 + 19 a^7 z^3 + 14 a^9 z^3 + a^11 z^3 - 2 a^13 z^3 - 
  3 a^2 z^4 + 8 a^4 z^4 + 48 a^6 z^4 + 46 a^8 z^4 + 4 a^10 z^4 - 
  5 a^12 z^4 - 7 a^3 z^5 - 11 a^5 z^5 - 12 a^7 z^5 - 15 a^9 z^5 - 
  6 a^11 z^5 + a^13 z^5 + a^2 z^6 - 11 a^4 z^6 - 40 a^6 z^6 - 
  38 a^8 z^6 - 7 a^10 z^6 + 3 a^12 z^6 + 3 a^3 z^7 - 2 a^5 z^7 - 
  7 a^7 z^7 + 3 a^9 z^7 + 5 a^11 z^7 + 5 a^4 z^8 + 13 a^6 z^8 + 
  14 a^8 z^8 + 6 a^10 z^8 + 4 a^5 z^9 + 8 a^7 z^9 + 4 a^9 z^9 + 
  a^6 z^10 + a^8 z^10, 
 7 + 3/a^4 + 7/a^2 + 2 a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - (2 z)/a^3 - (4 z)/a - 3 a z - a^3 z - 23 z^2 - (
  9 z^2)/a^4 - (27 z^2)/a^2 - 3 a^2 z^2 + 2 a^4 z^2 + (4 z^3)/a^5 + (
  4 z^3)/a^3 + (6 z^3)/a + 14 a z^3 + 7 a^3 z^3 - a^5 z^3 + 39 z^4 - (
  2 z^4)/a^6 + (21 z^4)/a^4 + (54 z^4)/a^2 + 3 a^2 z^4 - 5 a^4 z^4 - (
  9 z^5)/a^5 + (2 z^5)/a^3 + (3 z^5)/a - 21 a z^5 - 12 a^3 z^5 + 
  a^5 z^5 - 41 z^6 + z^6/a^6 - (22 z^6)/a^4 - (50 z^6)/a^2 - 
  10 a^2 z^6 + 4 a^4 z^6 + (4 z^7)/a^5 - (12 z^7)/a^3 - (20 z^7)/a + 
  4 a z^7 + 8 a^3 z^7 + 16 z^8 + (8 z^8)/a^4 + (15 z^8)/a^2 + 
  9 a^2 z^8 + (7 z^9)/a^3 + (13 z^9)/a + 6 a z^9 + 2 z^10 + (2 z^10)/
  a^2, 7 + 3/a^4 + 7/a^2 + 2 a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) - (2 z)/a^3 - (4 z)/a - 3 a z - 
  a^3 z - 27 z^2 + (2 z^2)/a^6 - (3 z^2)/a^4 - (23 z^2)/a^2 - 
  9 a^2 z^2 - (2 z^3)/a^7 + z^3/a^5 + z^3/a^3 - (4 z^3)/a + 2 a z^3 + 
  4 a^3 z^3 + 48 z^4 + z^4/a^8 - (8 z^4)/a^6 + (6 z^4)/a^4 + (48 z^4)/
  a^2 + 15 a^2 z^4 + (4 z^5)/a^7 - (11 z^5)/a^5 + z^5/a^3 + (29 z^5)/
  a + 9 a z^5 - 4 a^3 z^5 - 32 z^6 + (8 z^6)/a^6 - (15 z^6)/a^4 - (
  43 z^6)/a^2 - 12 a^2 z^6 + (10 z^7)/a^5 - (10 z^7)/a^3 - (34 z^7)/
  a - 13 a z^7 + a^3 z^7 + 3 z^8 + (10 z^8)/a^4 + (10 z^8)/a^2 + 
  3 a^2 z^8 + (7 z^9)/a^3 + (11 z^9)/a + 4 a z^9 + 2 z^10 + (2 z^10)/
  a^2, 15 + 5/a^2 + 13 a^2 + 3 a^4 - a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/
  z^2 + (2 a)/z + (2 a^3)/z - (3 z)/a^3 - (10 z)/a - 13 a z - 
  7 a^3 z - a^5 z - 48 z^2 - (18 z^2)/a^2 - 33 a^2 z^2 + 3 a^6 z^2 - (
  2 z^3)/a^5 + (10 z^3)/a^3 + (21 z^3)/a + 16 a z^3 + 13 a^3 z^3 + 
  6 a^5 z^3 + 72 z^4 - (5 z^4)/a^4 + (30 z^4)/a^2 + 40 a^2 z^4 - 
  3 a^6 z^4 + z^5/a^5 - (13 z^5)/a^3 - (7 z^5)/a - 15 a^3 z^5 - 
  8 a^5 z^5 - 49 z^6 + (3 z^6)/a^4 - (22 z^6)/a^2 - 32 a^2 z^6 - 
  7 a^4 z^6 + a^6 z^6 + (6 z^7)/a^3 - (5 z^7)/a - 13 a z^7 + 
  a^3 z^7 + 3 a^5 z^7 + 14 z^8 + (8 z^8)/a^2 + 10 a^2 z^8 + 
  4 a^4 z^8 + (5 z^9)/a + 8 a z^9 + 3 a^3 z^9 + z^10 + a^2 z^10, 
 6 - 1/a^8 + 2/a^6 + 13/a^4 + 15/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) + z/a^9 - (6 z)/a^5 - (9 z)/a^3 - (
  4 z)/a - 13 z^2 + (5 z^2)/a^8 - (5 z^2)/a^6 - (44 z^2)/a^4 - (
  47 z^2)/a^2 + z^3/a^11 - (4 z^3)/a^9 + (6 z^3)/a^7 + (19 z^3)/
  a^5 + (3 z^3)/a^3 - (5 z^3)/a + 13 z^4 + (3 z^4)/a^10 - (13 z^4)/
  a^8 + (12 z^4)/a^6 + (76 z^4)/a^4 + (61 z^4)/a^2 + (6 z^5)/a^9 - (
  19 z^5)/a^7 - (13 z^5)/a^5 + (27 z^5)/a^3 + (15 z^5)/a - 6 z^6 + (
  9 z^6)/a^8 - (22 z^6)/a^6 - (54 z^6)/a^4 - (29 z^6)/a^2 + (10 z^7)/
  a^7 - (8 z^7)/a^5 - (28 z^7)/a^3 - (10 z^7)/a + z^8 + (9 z^8)/
  a^6 + (10 z^8)/a^4 + (2 z^8)/a^2 + (5 z^9)/a^5 + (7 z^9)/a^3 + (
  2 z^9)/a + z^10/a^4 + z^10/a^2, 
 3 + 1/a^2 - a^2 - 6 a^4 - 4 a^6 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (
  2 a^3)/z - (2 a^5)/z - (2 z)/a^3 - (6 z)/a - 6 a z + 2 a^3 z + 
  4 a^5 z - 14 z^2 + (2 z^2)/a^4 - (2 z^2)/a^2 - 7 a^2 z^2 + 
  9 a^4 z^2 + 6 a^6 z^2 - z^3/a^5 + (7 z^3)/a^3 + (22 z^3)/a + 
  18 a z^3 + 4 a^3 z^3 + 31 z^4 - (5 z^4)/a^4 + (3 z^4)/a^2 + 
  22 a^2 z^4 - 5 a^4 z^4 - 4 a^6 z^4 + z^5/a^5 - (12 z^5)/a^3 - (
  28 z^5)/a - 18 a z^5 - 7 a^3 z^5 - 4 a^5 z^5 - 38 z^6 + (4 z^6)/
  a^4 - (11 z^6)/a^2 - 27 a^2 z^6 - 3 a^4 z^6 + a^6 z^6 + (8 z^7)/
  a^3 + (7 z^7)/a - 3 a z^7 + 2 a^5 z^7 + 17 z^8 + (9 z^8)/a^2 + 
  11 a^2 z^8 + 3 a^4 z^8 + (5 z^9)/a + 8 a z^9 + 3 a^3 z^9 + z^10 + 
  a^2 z^10, 
 15 + 5/a^2 + 13 a^2 + 3 a^4 - a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - (3 z)/a^3 - (10 z)/a - 13 a z - 7 a^3 z - 
  a^5 z - 38 z^2 - (12 z^2)/a^2 - 31 a^2 z^2 - 2 a^4 z^2 + 3 a^6 z^2 -
   z^3/a^5 + (8 z^3)/a^3 + (20 z^3)/a + 15 a z^3 + 9 a^3 z^3 + 
  5 a^5 z^3 + 61 z^4 - (4 z^4)/a^4 + (21 z^4)/a^2 + 43 a^2 z^4 + 
  4 a^4 z^4 - 3 a^6 z^4 + z^5/a^5 - (14 z^5)/a^3 - (14 z^5)/a + 
  a z^5 - 7 a^3 z^5 - 7 a^5 z^5 - 55 z^6 + (4 z^6)/a^4 - (23 z^6)/
  a^2 - 38 a^2 z^6 - 9 a^4 z^6 + a^6 z^6 + (9 z^7)/a^3 - (4 z^7)/a - 
  20 a z^7 - 4 a^3 z^7 + 3 a^5 z^7 + 19 z^8 + (12 z^8)/a^2 + 
  12 a^2 z^8 + 5 a^4 z^8 + (8 z^9)/a + 13 a z^9 + 5 a^3 z^9 + 
  2 z^10 + 2 a^2 z^10, 
 2 a^2 + 12 a^4 + 15 a^6 + 5 a^8 + a^12 - a^4/z^2 - (2 a^6)/z^2 - a^8/
  z^2 + (2 a^5)/z + (2 a^7)/z - a z - 3 a^3 z - 12 a^5 z - 10 a^7 z - 
  9 a^2 z^2 - 36 a^4 z^2 - 35 a^6 z^2 - 6 a^8 z^2 - 2 a^12 z^2 + 
  4 a z^3 + 9 a^3 z^3 + 11 a^5 z^3 + 12 a^7 z^3 + 4 a^9 z^3 - 
  2 a^11 z^3 + 17 a^2 z^4 + 51 a^4 z^4 + 43 a^6 z^4 + 6 a^8 z^4 - 
  2 a^10 z^4 + a^12 z^4 - 4 a z^5 + a^3 z^5 + 7 a^5 z^5 - 5 a^7 z^5 - 
  5 a^9 z^5 + 2 a^11 z^5 - 13 a^2 z^6 - 33 a^4 z^6 - 29 a^6 z^6 - 
  6 a^8 z^6 + 3 a^10 z^6 + a z^7 - 9 a^3 z^7 - 17 a^5 z^7 - 
  3 a^7 z^7 + 4 a^9 z^7 + 3 a^2 z^8 + 5 a^4 z^8 + 6 a^6 z^8 + 
  4 a^8 z^8 + 3 a^3 z^9 + 6 a^5 z^9 + 3 a^7 z^9 + a^4 z^10 + a^6 z^10,
  7 a^4 + 11 a^6 + 3 a^8 - 2 a^10 - a^4/z^2 - (2 a^6)/z^2 - a^8/
  z^2 + (2 a^5)/z + (2 a^7)/z - a z - 2 a^3 z - 9 a^5 z - 7 a^7 z + 
  a^9 z + 2 z^2 - 21 a^4 z^2 - 27 a^6 z^2 - 3 a^8 z^2 + 5 a^10 z^2 - 
  z^3/a + 4 a z^3 + 15 a^3 z^3 + 12 a^5 z^3 + 4 a^7 z^3 + 2 a^9 z^3 - 
  6 z^4 + 36 a^4 z^4 + 37 a^6 z^4 + 3 a^8 z^4 - 4 a^10 z^4 + z^5/a - 
  11 a z^5 - 19 a^3 z^5 - 2 a^5 z^5 - 5 a^9 z^5 + 4 z^6 - 8 a^2 z^6 - 
  32 a^4 z^6 - 27 a^6 z^6 - 6 a^8 z^6 + a^10 z^6 + 7 a z^7 + 
  4 a^3 z^7 - 9 a^5 z^7 - 4 a^7 z^7 + 2 a^9 z^7 + 7 a^2 z^8 + 
  12 a^4 z^8 + 8 a^6 z^8 + 3 a^8 z^8 + 4 a^3 z^9 + 7 a^5 z^9 + 
  3 a^7 z^9 + a^4 z^10 + a^6 z^10, 
 1 - 1/a^2 + 7 a^2 + 9 a^4 + 3 a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - z/a - 6 a z - 10 a^3 z - 7 a^5 z - 2 a^7 z + 
  z^2 + (3 z^2)/a^2 - 20 a^2 z^2 - 27 a^4 z^2 - 9 a^6 z^2 - z^3/
  a^3 + (7 z^3)/a + 17 a z^3 + 15 a^3 z^3 + 11 a^5 z^3 + 5 a^7 z^3 + 
  5 z^4 + z^4/a^4 - (8 z^4)/a^2 + 48 a^2 z^4 + 48 a^4 z^4 + 
  14 a^6 z^4 + (4 z^5)/a^3 - (17 z^5)/a - 19 a z^5 + 7 a^3 z^5 + 
  a^5 z^5 - 4 a^7 z^5 - 19 z^6 + (9 z^6)/a^2 - 54 a^2 z^6 - 
  37 a^4 z^6 - 11 a^6 z^6 + (13 z^7)/a - 4 a z^7 - 28 a^3 z^7 - 
  10 a^5 z^7 + a^7 z^7 + 13 z^8 + 16 a^2 z^8 + 6 a^4 z^8 + 
  3 a^6 z^8 + 8 a z^9 + 12 a^3 z^9 + 4 a^5 z^9 + 2 a^2 z^10 + 
  2 a^4 z^10, 
 4 + 9 a^2 + 7 a^4 - a^8 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/z + (
  2 a^3)/z - 3 a z - 6 a^3 z - 3 a^5 z + a^7 z + a^9 z - 10 z^2 - 
  30 a^2 z^2 - 23 a^4 z^2 + 3 a^8 z^2 + (3 z^3)/a + a z^3 + a^3 z^3 + 
  6 a^5 z^3 + a^7 z^3 - 2 a^9 z^3 + 21 z^4 - (2 z^4)/a^2 + 
  56 a^2 z^4 + 39 a^4 z^4 + a^6 z^4 - 5 a^8 z^4 - (9 z^5)/a + 
  7 a z^5 + 18 a^3 z^5 - 5 a^5 z^5 - 6 a^7 z^5 + a^9 z^5 - 23 z^6 + 
  z^6/a^2 - 47 a^2 z^6 - 32 a^4 z^6 - 6 a^6 z^6 + 3 a^8 z^6 + (4 z^7)/
  a - 15 a z^7 - 26 a^3 z^7 - 2 a^5 z^7 + 5 a^7 z^7 + 8 z^8 + 
  12 a^2 z^8 + 10 a^4 z^8 + 6 a^6 z^8 + 7 a z^9 + 12 a^3 z^9 + 
  5 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, -5 - 2/a^6 - 2/a^4 - 2/a^2 - 
  4 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z - (4 z)/
  a^5 - (12 z)/a^3 - (4 z)/a + 4 a z + 6 z^2 + (6 z^2)/a^6 + (12 z^2)/
  a^4 + (6 z^2)/a^2 + 6 a^2 z^2 + (4 z^3)/a^7 + (18 z^3)/a^5 + (
  34 z^3)/a^3 + (20 z^3)/a - 2 z^4 - (5 z^4)/a^8 - (4 z^4)/a^6 - z^4/
  a^4 - 4 a^2 z^4 + z^5/a^9 - (15 z^5)/a^7 - (28 z^5)/a^5 - (30 z^5)/
  a^3 - (22 z^5)/a - 4 a z^5 - 4 z^6 + (5 z^6)/a^8 - (11 z^6)/a^6 - (
  24 z^6)/a^4 - (13 z^6)/a^2 + a^2 z^6 + (10 z^7)/a^7 + (8 z^7)/
  a^5 + (2 z^7)/a^3 + (6 z^7)/a + 2 a z^7 + 3 z^8 + (10 z^8)/a^6 + (
  15 z^8)/a^4 + (8 z^8)/a^2 + (5 z^9)/a^5 + (7 z^9)/a^3 + (2 z^9)/a + 
  z^10/a^4 + z^10/a^2, -2 a^2 - 2 a^4 - a^6 - a^8 - a^10 + a^2/z^2 + (
  2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z + 2 a^3 z - 2 a^5 z - 
  6 a^7 z - 2 a^9 z + a^2 z^2 - a^4 z^2 + a^6 z^2 + 6 a^8 z^2 + 
  3 a^10 z^2 + 2 a z^3 + 4 a^3 z^3 + 8 a^5 z^3 + 13 a^7 z^3 + 
  7 a^9 z^3 - 4 z^4 + 7 a^2 z^4 + 23 a^4 z^4 + 11 a^6 z^4 - 
  4 a^8 z^4 - 3 a^10 z^4 + z^5/a - 15 a z^5 - 12 a^3 z^5 + a^5 z^5 - 
  11 a^7 z^5 - 8 a^9 z^5 + 5 z^6 - 20 a^2 z^6 - 39 a^4 z^6 - 
  20 a^6 z^6 - 5 a^8 z^6 + a^10 z^6 + 11 a z^7 - 2 a^3 z^7 - 
  17 a^5 z^7 - a^7 z^7 + 3 a^9 z^7 + 13 a^2 z^8 + 17 a^4 z^8 + 
  8 a^6 z^8 + 4 a^8 z^8 + 8 a^3 z^9 + 12 a^5 z^9 + 4 a^7 z^9 + 
  2 a^4 z^10 + 2 a^6 z^10, 
 1 + 2/a^8 + 3/a^6 + 2/a^4 + 1/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(
  a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) - (2 z)/a^9 - (7 z)/a^7 - (5 z)/
  a^5 - z/a^3 - z/a + z^2/a^10 - (6 z^2)/a^8 - (25 z^2)/a^6 - (
  27 z^2)/a^4 - (9 z^2)/a^2 + (6 z^3)/a^9 + (23 z^3)/a^7 + (29 z^3)/
  a^5 + (15 z^3)/a^3 + (3 z^3)/a - 4 z^4 - (2 z^4)/a^10 + (11 z^4)/
  a^8 + (60 z^4)/a^6 + (65 z^4)/a^4 + (14 z^4)/a^2 - (9 z^5)/a^9 - (
  20 z^5)/a^7 - (18 z^5)/a^5 - (22 z^5)/a^3 - (14 z^5)/a + a z^5 + 
  5 z^6 + z^6/a^10 - (15 z^6)/a^8 - (59 z^6)/a^6 - (70 z^6)/a^4 - (
  22 z^6)/a^2 + (4 z^7)/a^9 - (2 z^7)/a^7 - (17 z^7)/a^5 + (11 z^7)/
  a + (7 z^8)/a^8 + (19 z^8)/a^6 + (26 z^8)/a^4 + (14 z^8)/a^2 + (
  6 z^9)/a^7 + (15 z^9)/a^5 + (9 z^9)/a^3 + (2 z^10)/a^6 + (2 z^10)/
  a^4, 1 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z - z/
  a^5 - (4 z)/a^3 - (6 z)/a - 4 a z - a^3 z - 23 z^2 + z^2/a^6 - (
  5 z^2)/a^4 - (21 z^2)/a^2 - 8 a^2 z^2 - (2 z^3)/a^7 + (4 z^3)/
  a^5 + (20 z^3)/a^3 + (23 z^3)/a + 12 a z^3 + 3 a^3 z^3 + 62 z^4 + 
  z^4/a^8 - (7 z^4)/a^6 + (12 z^4)/a^4 + (66 z^4)/a^2 + 16 a^2 z^4 + (
  4 z^5)/a^7 - (13 z^5)/a^5 - (18 z^5)/a^3 + z^5/a - a z^5 - 
  3 a^3 z^5 - 53 z^6 + (8 z^6)/a^6 - (20 z^6)/a^4 - (67 z^6)/a^2 - 
  14 a^2 z^6 + (11 z^7)/a^5 - (6 z^7)/a^3 - (30 z^7)/a - 12 a z^7 + 
  a^3 z^7 + 10 z^8 + (12 z^8)/a^4 + (18 z^8)/a^2 + 4 a^2 z^8 + (
  8 z^9)/a^3 + (13 z^9)/a + 5 a z^9 + 2 z^10 + (2 z^10)/a^2, -11 - 4/
  a^2 - 12 a^2 - 4 a^4 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (
  2 a)/z + (2 z)/a + 6 a z + 6 a^3 z + 2 a^5 z + 10 z^2 + (2 z^2)/
  a^2 + 10 a^2 z^2 + 2 a^4 z^2 + (4 z^3)/a^3 + (12 z^3)/a + 
  10 a z^3 + 2 a^3 z^3 + 38 z^4 - (4 z^4)/a^4 + (8 z^4)/a^2 + 
  38 a^2 z^4 + 12 a^4 z^4 + z^5/a^5 - (13 z^5)/a^3 - (17 z^5)/a - 
  3 a z^5 - 8 a^3 z^5 - 8 a^5 z^5 - 67 z^6 + (5 z^6)/a^4 - (20 z^6)/
  a^2 - 69 a^2 z^6 - 26 a^4 z^6 + a^6 z^6 + (11 z^7)/a^3 - (5 z^7)/
  a - 36 a z^7 - 14 a^3 z^7 + 6 a^5 z^7 + 26 z^8 + (15 z^8)/a^2 + 
  24 a^2 z^8 + 13 a^4 z^8 + (12 z^9)/a + 24 a z^9 + 12 a^3 z^9 + 
  4 z^10 + 4 a^2 z^10, 
 3/a^8 + 5/a^6 + 2/a^4 - 1/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(
  a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) - (2 z)/a^9 - (7 z)/a^7 - (5 z)/
  a^5 - z/a^3 - z/a + 2 z^2 + z^2/a^10 - (8 z^2)/a^8 - (30 z^2)/
  a^6 - (27 z^2)/a^4 - (4 z^2)/a^2 + (6 z^3)/a^9 + (20 z^3)/a^7 + (
  27 z^3)/a^5 + (19 z^3)/a^3 + (5 z^3)/a - a z^3 - 5 z^4 - (2 z^4)/
  a^10 + (14 z^4)/a^8 + (62 z^4)/a^6 + (63 z^4)/a^4 + (12 z^4)/a^2 - (
  8 z^5)/a^9 - (20 z^5)/a^7 - (23 z^5)/a^5 - (22 z^5)/a^3 - (10 z^5)/
  a + a z^5 + 4 z^6 + z^6/a^10 - (17 z^6)/a^8 - (65 z^6)/a^6 - (
  67 z^6)/a^4 - (16 z^6)/a^2 + (4 z^7)/a^9 - (3 z^7)/a^7 - (14 z^7)/
  a^5 + z^7/a^3 + (8 z^7)/a + (8 z^8)/a^8 + (22 z^8)/a^6 + (25 z^8)/
  a^4 + (11 z^8)/a^2 + (7 z^9)/a^7 + (15 z^9)/a^5 + (8 z^9)/a^3 + (
  2 z^10)/a^6 + (2 z^10)/a^4, 
 3 + 5 a^2 + 4 a^4 + a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/z^2 - a^6/
  z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 5 a z - 12 a^3 z - 
  10 a^5 z - 3 a^7 z - 4 z^2 - 13 a^2 z^2 - 13 a^4 z^2 - 4 a^6 z^2 + (
  2 z^3)/a + 5 a z^3 + 14 a^3 z^3 + 18 a^5 z^3 + 7 a^7 z^3 + 17 z^4 - 
  z^4/a^2 + 51 a^2 z^4 + 49 a^4 z^4 + 14 a^6 z^4 - 2 a^8 z^4 - (
  8 z^5)/a + a z^5 + 3 a^3 z^5 - 23 a^5 z^5 - 16 a^7 z^5 + a^9 z^5 - 
  24 z^6 + z^6/a^2 - 65 a^2 z^6 - 72 a^4 z^6 - 27 a^6 z^6 + 
  5 a^8 z^6 + (5 z^7)/a - 16 a z^7 - 38 a^3 z^7 - 4 a^5 z^7 + 
  13 a^7 z^7 + 11 z^8 + 21 a^2 z^8 + 28 a^4 z^8 + 18 a^6 z^8 + 
  11 a z^9 + 24 a^3 z^9 + 13 a^5 z^9 + 4 a^2 z^10 + 4 a^4 z^10, 
 5/a^10 + 19/a^8 + 22/a^6 + 8/a^4 - 1/a^2 - 1/(a^10 z^2) - 4/(
  a^8 z^2) - 5/(a^6 z^2) - 2/(a^4 z^2) + 1/(a^11 z) + 5/(a^9 z) + 9/(
  a^7 z) + 5/(a^5 z) + z/a^13 - (4 z)/a^11 - (23 z)/a^9 - (35 z)/
  a^7 - (17 z)/a^5 + z^2/a^12 - (13 z^2)/a^10 - (48 z^2)/a^8 - (
  48 z^2)/a^6 - (11 z^2)/a^4 + (3 z^2)/a^2 - (2 z^3)/a^13 + (7 z^3)/
  a^11 + (39 z^3)/a^9 + (50 z^3)/a^7 + (24 z^3)/a^5 + (4 z^3)/a^3 - (
  4 z^4)/a^12 + (16 z^4)/a^10 + (71 z^4)/a^8 + (64 z^4)/a^6 + (
  10 z^4)/a^4 - (3 z^4)/a^2 + z^5/a^13 - (9 z^5)/a^11 - (28 z^5)/
  a^9 - (29 z^5)/a^7 - (18 z^5)/a^5 - (7 z^5)/a^3 + (3 z^6)/a^12 - (
  14 z^6)/a^10 - (56 z^6)/a^8 - (51 z^6)/a^6 - (11 z^6)/a^4 + z^6/
  a^2 + (6 z^7)/a^11 + (4 z^7)/a^9 - (5 z^7)/a^7 + (3 z^7)/a^3 + (
  8 z^8)/a^10 + (19 z^8)/a^8 + (16 z^8)/a^6 + (5 z^8)/a^4 + (5 z^9)/
  a^9 + (9 z^9)/a^7 + (4 z^9)/a^5 + z^10/a^8 + z^10/a^6, 
 7 - 2/a^2 + 21 a^2 + 16 a^4 + 3 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/
  z^2 - a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 22 a z - 
  39 a^3 z - 21 a^5 z - 4 a^7 z - 8 z^2 - z^2/a^4 + (6 z^2)/a^2 - 
  43 a^2 z^2 - 36 a^4 z^2 - 8 a^6 z^2 - (2 z^3)/a^3 + (4 z^3)/a + 
  42 a z^3 + 64 a^3 z^3 + 34 a^5 z^3 + 6 a^7 z^3 + 12 z^4 + z^4/
  a^4 - (7 z^4)/a^2 + 63 a^2 z^4 + 57 a^4 z^4 + 14 a^6 z^4 + (3 z^5)/
  a^3 - (9 z^5)/a - 35 a z^5 - 37 a^3 z^5 - 18 a^5 z^5 - 4 a^7 z^5 - 
  15 z^6 + (6 z^6)/a^2 - 57 a^2 z^6 - 47 a^4 z^6 - 11 a^6 z^6 + (
  8 z^7)/a + 4 a z^7 - 8 a^3 z^7 - 3 a^5 z^7 + a^7 z^7 + 9 z^8 + 
  17 a^2 z^8 + 11 a^4 z^8 + 3 a^6 z^8 + 5 a z^9 + 8 a^3 z^9 + 
  3 a^5 z^9 + a^2 z^10 + a^4 z^10, 
 10 - 1/a^8 + 14/a^4 + 23/a^2 - a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(
  a^4 z^2) - 5/(a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(
  a z) + z/a^9 - (2 z)/a^7 - (21 z)/a^5 - (41 z)/a^3 - (23 z)/a - 
  18 z^2 + (3 z^2)/a^8 + (4 z^2)/a^6 - (22 z^2)/a^4 - (44 z^2)/a^2 + 
  3 a^2 z^2 - (2 z^3)/a^9 + (3 z^3)/a^7 + (37 z^3)/a^5 + (68 z^3)/
  a^3 + (39 z^3)/a + 3 a z^3 + 18 z^4 - (5 z^4)/a^8 - z^4/a^6 + (
  35 z^4)/a^4 + (52 z^4)/a^2 - 3 a^2 z^4 + z^5/a^9 - (6 z^5)/a^7 - (
  29 z^5)/a^5 - (48 z^5)/a^3 - (32 z^5)/a - 6 a z^5 - 15 z^6 + (
  3 z^6)/a^8 - (5 z^6)/a^6 - (38 z^6)/a^4 - (46 z^6)/a^2 + a^2 z^6 + (
  5 z^7)/a^7 + (7 z^7)/a^5 + (3 z^7)/a^3 + (4 z^7)/a + 3 a z^7 + 
  6 z^8 + (6 z^8)/a^6 + (16 z^8)/a^4 + (16 z^8)/a^2 + (4 z^9)/a^5 + (
  8 z^9)/a^3 + (4 z^9)/a + z^10/a^4 + z^10/a^2, -2 a^2 + 6 a^4 + 
  22 a^6 + 21 a^8 + 6 a^10 - (2 a^4)/z^2 - (5 a^6)/z^2 - (4 a^8)/z^2 -
   a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/z + a^3 z - 
  15 a^5 z - 35 a^7 z - 25 a^9 z - 5 a^11 z + a^13 z + 5 a^2 z^2 - 
  6 a^4 z^2 - 44 a^6 z^2 - 45 a^8 z^2 - 11 a^10 z^2 + a^12 z^2 + 
  2 a^3 z^3 + 14 a^5 z^3 + 43 a^7 z^3 + 41 a^9 z^3 + 8 a^11 z^3 - 
  2 a^13 z^3 - 4 a^2 z^4 + 4 a^4 z^4 + 49 a^6 z^4 + 55 a^8 z^4 + 
  10 a^10 z^4 - 4 a^12 z^4 - 5 a^3 z^5 - 5 a^5 z^5 - 18 a^7 z^5 - 
  29 a^9 z^5 - 10 a^11 z^5 + a^13 z^5 + a^2 z^6 - 6 a^4 z^6 - 
  32 a^6 z^6 - 39 a^8 z^6 - 11 a^10 z^6 + 3 a^12 z^6 + 2 a^3 z^7 - 
  3 a^5 z^7 - 6 a^7 z^7 + 5 a^9 z^7 + 6 a^11 z^7 + 3 a^4 z^8 + 
  9 a^6 z^8 + 13 a^8 z^8 + 7 a^10 z^8 + 3 a^5 z^9 + 7 a^7 z^9 + 
  4 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 7 + 2/a^4 + 6/a^2 + 2 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(
  a z) - (2 a)/z - (2 z)/a^5 - (7 z)/a^3 - (9 z)/a - 5 a z - a^3 z - 
  36 z^2 + z^2/a^6 - (6 z^2)/a^4 - (30 z^2)/a^2 - 13 a^2 z^2 + (
  6 z^3)/a^5 + (19 z^3)/a^3 + (21 z^3)/a + 13 a z^3 + 4 a^3 z^3 - 
  a^5 z^3 + 78 z^4 - (2 z^4)/a^6 + (9 z^4)/a^4 + (60 z^4)/a^2 + 
  24 a^2 z^4 - 5 a^4 z^4 - (9 z^5)/a^5 - (17 z^5)/a^3 - 5 a z^5 - 
  12 a^3 z^5 + a^5 z^5 - 66 z^6 + z^6/a^6 - (15 z^6)/a^4 - (55 z^6)/
  a^2 - 23 a^2 z^6 + 4 a^4 z^6 + (4 z^7)/a^5 - (4 z^7)/a^3 - (24 z^7)/
  a - 8 a z^7 + 8 a^3 z^7 + 20 z^8 + (7 z^8)/a^4 + (16 z^8)/a^2 + 
  11 a^2 z^8 + (6 z^9)/a^3 + (14 z^9)/a + 8 a z^9 + 2 z^10 + (2 z^10)/
  a^2, -(1/a^10) + 1/a^8 + 5/a^6 + 4/a^4 + 1/(a^6 z^2) + 2/(
  a^4 z^2) + 1/(a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) - (4 z)/a^9 - (13 z)/
  a^7 - (11 z)/a^5 - (3 z)/a^3 - z/a + (4 z^2)/a^10 - (25 z^2)/a^6 - (
  29 z^2)/a^4 - (8 z^2)/a^2 + (13 z^3)/a^9 + (34 z^3)/a^7 + (32 z^3)/
  a^5 + (14 z^3)/a^3 + (3 z^3)/a + z^4/a^12 - (8 z^4)/a^10 + (8 z^4)/
  a^8 + (66 z^4)/a^6 + (66 z^4)/a^4 + (17 z^4)/a^2 + (4 z^5)/a^11 - (
  23 z^5)/a^9 - (39 z^5)/a^7 - (11 z^5)/a^5 - (2 z^5)/a^3 - (3 z^5)/
  a + (10 z^6)/a^10 - (24 z^6)/a^8 - (76 z^6)/a^6 - (56 z^6)/a^4 - (
  14 z^6)/a^2 + (16 z^7)/a^9 + (2 z^7)/a^7 - (26 z^7)/a^5 - (11 z^7)/
  a^3 + z^7/a + (16 z^8)/a^8 + (24 z^8)/a^6 + (12 z^8)/a^4 + (4 z^8)/
  a^2 + (9 z^9)/a^7 + (14 z^9)/a^5 + (5 z^9)/a^3 + (2 z^10)/a^6 + (
  2 z^10)/a^4, 
 7 + 17 a^2 + 16 a^4 + 5 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/z^2 - 
  a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 10 a z - 
  26 a^3 z - 22 a^5 z - 5 a^7 z + a^9 z - 12 z^2 - 40 a^2 z^2 - 
  38 a^4 z^2 - 9 a^6 z^2 + a^8 z^2 + (2 z^3)/a + 5 a z^3 + 
  25 a^3 z^3 + 32 a^5 z^3 + 8 a^7 z^3 - 2 a^9 z^3 + 23 z^4 - (2 z^4)/
  a^2 + 65 a^2 z^4 + 52 a^4 z^4 + 8 a^6 z^4 - 4 a^8 z^4 - (9 z^5)/a + 
  8 a z^5 + 8 a^3 z^5 - 20 a^5 z^5 - 10 a^7 z^5 + a^9 z^5 - 24 z^6 + 
  z^6/a^2 - 50 a^2 z^6 - 38 a^4 z^6 - 10 a^6 z^6 + 3 a^8 z^6 + (
  4 z^7)/a - 16 a z^7 - 25 a^3 z^7 + a^5 z^7 + 6 a^7 z^7 + 8 z^8 + 
  12 a^2 z^8 + 11 a^4 z^8 + 7 a^6 z^8 + 7 a z^9 + 12 a^3 z^9 + 
  5 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, -9 - 4/a^2 - 6 a^2 + 2 a^4 + 
  2 a^6 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (3 z)/
  a + 7 a z + 3 a^3 z - 3 a^5 z - 2 a^7 z + 15 z^2 + (6 z^2)/a^2 - 
  a^2 z^2 - 17 a^4 z^2 - 7 a^6 z^2 + (4 z^3)/a - 2 a z^3 - 
  6 a^3 z^3 + 5 a^5 z^3 + 5 a^7 z^3 - 5 z^4 + z^4/a^4 - (10 z^4)/
  a^2 + 34 a^2 z^4 + 41 a^4 z^4 + 13 a^6 z^4 + (4 z^5)/a^3 - (18 z^5)/
  a - 10 a z^5 + 21 a^3 z^5 + 5 a^5 z^5 - 4 a^7 z^5 - 16 z^6 + (
  10 z^6)/a^2 - 48 a^2 z^6 - 33 a^4 z^6 - 11 a^6 z^6 + (14 z^7)/a - 
  5 a z^7 - 31 a^3 z^7 - 11 a^5 z^7 + a^7 z^7 + 13 z^8 + 15 a^2 z^8 + 
  5 a^4 z^8 + 3 a^6 z^8 + 8 a z^9 + 12 a^3 z^9 + 4 a^5 z^9 + 
  2 a^2 z^10 + 2 a^4 z^10, 
 9 + 7/a^6 + 22/a^4 + 23/a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(a^4 z^2) - 5/(
  a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(a z) + (2 z)/
  a^9 - (4 z)/a^7 - (25 z)/a^5 - (31 z)/a^3 - (12 z)/a - 16 z^2 + (
  2 z^2)/a^8 - (14 z^2)/a^6 - (57 z^2)/a^4 - (57 z^2)/a^2 + z^3/
  a^11 - (5 z^3)/a^9 + (5 z^3)/a^7 + (41 z^3)/a^5 + (34 z^3)/a^3 + (
  4 z^3)/a + 14 z^4 + (3 z^4)/a^10 - (10 z^4)/a^8 + (19 z^4)/a^6 + (
  88 z^4)/a^4 + (70 z^4)/a^2 + (6 z^5)/a^9 - (16 z^5)/a^7 - (22 z^5)/
  a^5 + (10 z^5)/a^3 + (10 z^5)/a - 6 z^6 + (8 z^6)/a^8 - (24 z^6)/
  a^6 - (60 z^6)/a^4 - (34 z^6)/a^2 + (9 z^7)/a^7 - (7 z^7)/a^5 - (
  25 z^7)/a^3 - (9 z^7)/a + z^8 + (9 z^8)/a^6 + (11 z^8)/a^4 + (
  3 z^8)/a^2 + (5 z^9)/a^5 + (7 z^9)/a^3 + (2 z^9)/a + z^10/a^4 + 
  z^10/a^2, 
 19 + 5/a^2 + 22 a^2 + 8 a^4 - a^6 - 4/z^2 - 1/(a^2 z^2) - (5 a^2)/
  z^2 - (2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/z + z/
  a^5 - (4 z)/a^3 - (23 z)/a - 35 a z - 17 a^3 z - 46 z^2 + z^2/
  a^4 - (11 z^2)/a^2 - 50 a^2 z^2 - 13 a^4 z^2 + 3 a^6 z^2 - (2 z^3)/
  a^5 + (4 z^3)/a^3 + (37 z^3)/a + 50 a z^3 + 22 a^3 z^3 + 
  3 a^5 z^3 + 72 z^4 - (5 z^4)/a^4 + (12 z^4)/a^2 + 68 a^2 z^4 + 
  10 a^4 z^4 - 3 a^6 z^4 + z^5/a^5 - (8 z^5)/a^3 - (21 z^5)/a - 
  19 a z^5 - 14 a^3 z^5 - 7 a^5 z^5 - 50 z^6 + (3 z^6)/a^4 - (11 z^6)/
  a^2 - 49 a^2 z^6 - 12 a^4 z^6 + a^6 z^6 + (5 z^7)/a^3 + z^7/a - 
  10 a z^7 - 3 a^3 z^7 + 3 a^5 z^7 + 14 z^8 + (6 z^8)/a^2 + 
  13 a^2 z^8 + 5 a^4 z^8 + (4 z^9)/a + 8 a z^9 + 4 a^3 z^9 + z^10 + 
  a^2 z^10, 
 7 - 2/a^2 + 21 a^2 + 16 a^4 + 3 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/
  z^2 - a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 22 a z - 
  39 a^3 z - 21 a^5 z - 4 a^7 z - 10 z^2 + (6 z^2)/a^2 - 43 a^2 z^2 - 
  35 a^4 z^2 - 8 a^6 z^2 + (6 z^3)/a + 44 a z^3 + 66 a^3 z^3 + 
  34 a^5 z^3 + 6 a^7 z^3 + 9 z^4 + z^4/a^4 - (10 z^4)/a^2 + 
  66 a^2 z^4 + 60 a^4 z^4 + 14 a^6 z^4 + (4 z^5)/a^3 - (18 z^5)/a - 
  48 a z^5 - 39 a^3 z^5 - 17 a^5 z^5 - 4 a^7 z^5 - 18 z^6 + (10 z^6)/
  a^2 - 66 a^2 z^6 - 49 a^4 z^6 - 11 a^6 z^6 + (14 z^7)/a + 
  10 a z^7 - 8 a^3 z^7 - 3 a^5 z^7 + a^7 z^7 + 13 z^8 + 22 a^2 z^8 + 
  12 a^4 z^8 + 3 a^6 z^8 + 6 a z^9 + 9 a^3 z^9 + 3 a^5 z^9 + 
  a^2 z^10 + a^4 z^10, -7 + 4/a^6 + 8/a^4 - 4 a^2 + 2/z^2 + 1/(
  a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z - (4 z)/a^7 - (8 z)/a^5 + (
  8 z)/a + 4 a z + 12 z^2 - (14 z^2)/a^6 - (36 z^2)/a^4 - (16 z^2)/
  a^2 + 6 a^2 z^2 - (2 z^3)/a^9 + (11 z^3)/a^7 + (21 z^3)/a^5 - (
  3 z^3)/a^3 - (11 z^3)/a - 7 z^4 - (5 z^4)/a^8 + (27 z^4)/a^6 + (
  62 z^4)/a^4 + (27 z^4)/a^2 - 4 a^2 z^4 + z^5/a^9 - (13 z^5)/a^7 - (
  9 z^5)/a^5 + (9 z^5)/a^3 - 4 a z^5 - 3 z^6 + (3 z^6)/a^8 - (21 z^6)/
  a^6 - (46 z^6)/a^4 - (26 z^6)/a^2 + a^2 z^6 + (6 z^7)/a^7 - (4 z^7)/
  a^5 - (14 z^7)/a^3 - (2 z^7)/a + 2 a z^7 + 3 z^8 + (8 z^8)/a^6 + (
  14 z^8)/a^4 + (9 z^8)/a^2 + (5 z^9)/a^5 + (8 z^9)/a^3 + (3 z^9)/a + 
  z^10/a^4 + z^10/a^2, 
 9 + 2/a^6 + 14/a^4 + 21/a^2 - a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(
  a^4 z^2) - 5/(a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(
  a z) - (2 z)/a^7 - (15 z)/a^5 - (33 z)/a^3 - (20 z)/a - 16 z^2 - (
  4 z^2)/a^6 - (25 z^2)/a^4 - (40 z^2)/a^2 + 3 a^2 z^2 + (5 z^3)/
  a^7 + (26 z^3)/a^5 + (52 z^3)/a^3 + (34 z^3)/a + 3 a z^3 + 
  17 z^4 - (3 z^4)/a^8 + (11 z^4)/a^6 + (47 z^4)/a^4 + (53 z^4)/a^2 - 
  3 a^2 z^4 + z^5/a^9 - (16 z^5)/a^7 - (30 z^5)/a^5 - (31 z^5)/a^3 - (
  24 z^5)/a - 6 a z^5 - 14 z^6 + (5 z^6)/a^8 - (23 z^6)/a^6 - (
  60 z^6)/a^4 - (47 z^6)/a^2 + a^2 z^6 + (12 z^7)/a^7 + (3 z^7)/
  a^5 - (11 z^7)/a^3 + z^7/a + 3 a z^7 + 6 z^8 + (15 z^8)/a^6 + (
  25 z^8)/a^4 + (16 z^8)/a^2 + (9 z^9)/a^5 + (14 z^9)/a^3 + (5 z^9)/
  a + (2 z^10)/a^4 + (2 z^10)/a^2, 
 13 - 1/a^4 + 22 a^2 + 11 a^4 - 4/z^2 - 1/(a^2 z^2) - (5 a^2)/z^2 - (
  2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/z + z/a^5 - (
  2 z)/a^3 - (19 z)/a - 35 a z - 19 a^3 z - 16 z^2 + (3 z^2)/a^4 + (
  5 z^2)/a^2 - 43 a^2 z^2 - 23 a^4 z^2 + 2 a^6 z^2 - (2 z^3)/a^5 + (
  4 z^3)/a^3 + (31 z^3)/a + 50 a z^3 + 28 a^3 z^3 + 3 a^5 z^3 + 
  21 z^4 - (5 z^4)/a^4 - (6 z^4)/a^2 + 51 a^2 z^4 + 26 a^4 z^4 - 
  3 a^6 z^4 + z^5/a^5 - (7 z^5)/a^3 - (27 z^5)/a - 29 a z^5 - 
  17 a^3 z^5 - 7 a^5 z^5 - 24 z^6 + (3 z^6)/a^4 - (2 z^6)/a^2 - 
  39 a^2 z^6 - 19 a^4 z^6 + a^6 z^6 + (5 z^7)/a^3 + (8 z^7)/a - 
  2 a z^7 - 2 a^3 z^7 + 3 a^5 z^7 + 11 z^8 + (5 z^8)/a^2 + 
  12 a^2 z^8 + 6 a^4 z^8 + (3 z^9)/a + 7 a z^9 + 4 a^3 z^9 + z^10 + 
  a^2 z^10, -2 a^6 + 6 a^8 + 20 a^10 + 17 a^12 + 4 a^14 - (2 a^8)/
  z^2 - (5 a^10)/z^2 - (4 a^12)/z^2 - a^14/z^2 + (5 a^9)/z + (9 a^11)/
  z + (5 a^13)/z + a^15/z + a^7 z - 16 a^9 z - 33 a^11 z - 
  21 a^13 z - 5 a^15 z + 5 a^6 z^2 - 7 a^8 z^2 - 33 a^10 z^2 - 
  33 a^12 z^2 - 12 a^14 z^2 + 2 a^7 z^3 + 21 a^9 z^3 + 35 a^11 z^3 + 
  30 a^13 z^3 + 12 a^15 z^3 - 2 a^17 z^3 - 4 a^6 z^4 + 6 a^8 z^4 + 
  27 a^10 z^4 + 44 a^12 z^4 + 22 a^14 z^4 - 5 a^16 z^4 - 5 a^7 z^5 - 
  16 a^9 z^5 - 9 a^11 z^5 - 13 a^13 z^5 - 14 a^15 z^5 + a^17 z^5 + 
  a^6 z^6 - 7 a^8 z^6 - 17 a^10 z^6 - 30 a^12 z^6 - 18 a^14 z^6 + 
  3 a^16 z^6 + 2 a^7 z^7 + 2 a^9 z^7 - 8 a^11 z^7 - 2 a^13 z^7 + 
  6 a^15 z^7 + 3 a^8 z^8 + 5 a^10 z^8 + 9 a^12 z^8 + 7 a^14 z^8 + 
  2 a^9 z^9 + 6 a^11 z^9 + 4 a^13 z^9 + a^10 z^10 + a^12 z^10, 
 17 + 4/a^2 + 20 a^2 + 6 a^4 - 2 a^6 - 4/z^2 - 1/(a^2 z^2) - (5 a^2)/
  z^2 - (2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/z - (
  5 z)/a^3 - (21 z)/a - 33 a z - 16 a^3 z + a^5 z - 30 z^2 - (7 z^2)/
  a^2 - 39 a^2 z^2 - 9 a^4 z^2 + 6 a^6 z^2 - a^8 z^2 + (8 z^3)/a^3 + (
  28 z^3)/a + 39 a z^3 + 23 a^3 z^3 + 2 a^5 z^3 - 2 a^7 z^3 + 
  37 z^4 + (10 z^4)/a^2 + 47 a^2 z^4 + 11 a^4 z^4 - 8 a^6 z^4 + 
  a^8 z^4 - (5 z^5)/a^3 - (12 z^5)/a - 11 a z^5 - 15 a^3 z^5 - 
  8 a^5 z^5 + 3 a^7 z^5 - 25 z^6 - (8 z^6)/a^2 - 35 a^2 z^6 - 
  12 a^4 z^6 + 6 a^6 z^6 + z^7/a^3 - (3 z^7)/a - 12 a z^7 - a^3 z^7 + 
  7 a^5 z^7 + 4 z^8 + (2 z^8)/a^2 + 9 a^2 z^8 + 7 a^4 z^8 + (2 z^9)/
  a + 6 a z^9 + 4 a^3 z^9 + z^10 + a^2 z^10, 
 11 a^8 + 22 a^10 + 13 a^12 - a^16 - (2 a^8)/z^2 - (5 a^10)/z^2 - (
  4 a^12)/z^2 - a^14/z^2 + (5 a^9)/z + (9 a^11)/z + (5 a^13)/z + a^15/
  z - 19 a^9 z - 35 a^11 z - 19 a^13 z - 2 a^15 z + a^17 z - 
  21 a^8 z^2 - 39 a^10 z^2 - 20 a^12 z^2 + 3 a^14 z^2 + 5 a^16 z^2 + 
  20 a^9 z^3 + 39 a^11 z^3 + 33 a^13 z^3 + 9 a^15 z^3 - 4 a^17 z^3 + 
  a^19 z^3 + 18 a^8 z^4 + 36 a^10 z^4 + 37 a^12 z^4 + 3 a^14 z^4 - 
  13 a^16 z^4 + 3 a^18 z^4 - 4 a^9 z^5 - a^11 z^5 - 23 a^13 z^5 - 
  20 a^15 z^5 + 6 a^17 z^5 - 7 a^8 z^6 - 13 a^10 z^6 - 32 a^12 z^6 - 
  17 a^14 z^6 + 9 a^16 z^6 - 3 a^9 z^7 - 16 a^11 z^7 - 3 a^13 z^7 + 
  10 a^15 z^7 + a^8 z^8 - a^10 z^8 + 6 a^12 z^8 + 8 a^14 z^8 + 
  a^9 z^9 + 5 a^11 z^9 + 4 a^13 z^9 + a^10 z^10 + 
  a^12 z^10, -(2/a^6) - 3/a^4 - 2/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 
  1/(a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (2 z)/a^5 + (2 z)/a^3 - 
  2 z^2 + (2 z^2)/a^8 - (3 z^2)/a^6 - (14 z^2)/a^4 - (11 z^2)/a^2 - 
  z^3/a^9 + (4 z^3)/a^7 + (5 z^3)/a^5 + (5 z^3)/a^3 + (8 z^3)/a + 
  3 a z^3 + 13 z^4 - (5 z^4)/a^8 + (11 z^4)/a^6 + (48 z^4)/a^4 + (
  46 z^4)/a^2 - a^2 z^4 + z^5/a^9 - (10 z^5)/a^7 - (6 z^5)/a^5 + (
  6 z^5)/a^3 - (8 z^5)/a - 9 a z^5 - 22 z^6 + (4 z^6)/a^8 - (16 z^6)/
  a^6 - (54 z^6)/a^4 - (57 z^6)/a^2 + a^2 z^6 + (8 z^7)/a^7 - (6 z^7)/
  a^5 - (30 z^7)/a^3 - (11 z^7)/a + 5 a z^7 + 10 z^8 + (11 z^8)/
  a^6 + (19 z^8)/a^4 + (18 z^8)/a^2 + (9 z^9)/a^5 + (18 z^9)/a^3 + (
  9 z^9)/a + (3 z^10)/a^4 + (3 z^10)/a^2, -3 - 2/a^2 - 2 a^2 + 2/
  z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (2 z)/a + 2 a z - 
  14 z^2 + z^2/a^6 - (8 z^2)/a^4 - (21 z^2)/a^2 - 2 a^2 z^2 - z^3/
  a^7 + (9 z^3)/a^5 + (10 z^3)/a^3 - (2 z^3)/a - a z^3 + a^3 z^3 + 
  53 z^4 + z^4/a^8 - (6 z^4)/a^6 + (24 z^4)/a^4 + (71 z^4)/a^2 + 
  13 a^2 z^4 + (4 z^5)/a^7 - (20 z^5)/a^5 - (8 z^5)/a^3 + (34 z^5)/
  a + 16 a z^5 - 2 a^3 z^5 - 49 z^6 + (9 z^6)/a^6 - (34 z^6)/a^4 - (
  77 z^6)/a^2 - 15 a^2 z^6 + (15 z^7)/a^5 - (17 z^7)/a^3 - (56 z^7)/
  a - 23 a z^7 + a^3 z^7 + 6 z^8 + (18 z^8)/a^4 + (19 z^8)/a^2 + 
  5 a^2 z^8 + (13 z^9)/a^3 + (21 z^9)/a + 8 a z^9 + 4 z^10 + (4 z^10)/
  a^2, -(2/a^6) - 3/a^4 - 2/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(
  a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (2 z)/a^5 + (2 z)/a^3 + 2 z^2 - (
  6 z^2)/a^8 - (15 z^2)/a^6 - (10 z^2)/a^4 + z^2/a^2 + (5 z^3)/a^9 + (
  5 z^3)/a^7 + (4 z^3)/a^3 + (3 z^3)/a - a z^3 - 6 z^4 - (2 z^4)/
  a^10 + (16 z^4)/a^8 + (44 z^4)/a^6 + (34 z^4)/a^4 + (2 z^4)/a^2 - (
  10 z^5)/a^9 - z^5/a^7 + (14 z^5)/a^5 - (6 z^5)/a^3 - (10 z^5)/a + 
  a z^5 + 4 z^6 + z^6/a^10 - (19 z^6)/a^8 - (41 z^6)/a^6 - (35 z^6)/
  a^4 - (10 z^6)/a^2 + (4 z^7)/a^9 - (10 z^7)/a^7 - (24 z^7)/a^5 - (
  3 z^7)/a^3 + (7 z^7)/a + (7 z^8)/a^8 + (11 z^8)/a^6 + (12 z^8)/
  a^4 + (8 z^8)/a^2 + (6 z^9)/a^7 + (12 z^9)/a^5 + (6 z^9)/a^3 + (
  2 z^10)/a^6 + (2 z^10)/a^4, -(2/a^6) - 3/a^4 - 2/a^2 + 1/(
  a^6 z^2) + 2/(a^4 z^2) + 1/(a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (
  2 z)/a^5 + (2 z)/a^3 - (5 z^2)/a^6 - (14 z^2)/a^4 - (11 z^2)/a^2 + 
  2 a^2 z^2 + (2 z^3)/a^7 + (2 z^3)/a^3 + (10 z^3)/a + 4 a z^3 - 
  2 a^3 z^3 + 4 z^4 + (17 z^4)/a^6 + (47 z^4)/a^4 + (42 z^4)/a^2 - 
  7 a^2 z^4 + a^4 z^4 - (3 z^5)/a^7 + (10 z^5)/a^5 + (14 z^5)/a^3 - (
  16 z^5)/a - 13 a z^5 + 4 a^3 z^5 - 15 z^6 - (15 z^6)/a^6 - (41 z^6)/
  a^4 - (49 z^6)/a^2 + 8 a^2 z^6 + z^7/a^7 - (15 z^7)/a^5 - (30 z^7)/
  a^3 - (3 z^7)/a + 11 a z^7 + 11 z^8 + (4 z^8)/a^6 + (7 z^8)/a^4 + (
  14 z^8)/a^2 + (5 z^9)/a^5 + (12 z^9)/a^3 + (7 z^9)/a + (2 z^10)/
  a^4 + (2 z^10)/a^2, -3 - 2/a^2 - 2 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/
  z^2 - 2/(a z) - (2 a)/z + (2 z)/a + 2 a z - 10 z^2 - (4 z^2)/a^4 - (
  11 z^2)/a^2 - 3 a^2 z^2 + (3 z^3)/a^5 + (4 z^3)/a^3 + (2 z^3)/a + 
  4 a z^3 + 3 a^3 z^3 + 53 z^4 - z^4/a^6 + (14 z^4)/a^4 + (49 z^4)/
  a^2 + 16 a^2 z^4 - 3 a^4 z^4 - (8 z^5)/a^5 + z^5/a^3 + (19 z^5)/a - 
  4 a z^5 - 13 a^3 z^5 + a^5 z^5 - 72 z^6 + z^6/a^6 - (22 z^6)/a^4 - (
  62 z^6)/a^2 - 28 a^2 z^6 + 5 a^4 z^6 + (5 z^7)/a^5 - (18 z^7)/
  a^3 - (50 z^7)/a - 15 a z^7 + 12 a^3 z^7 + 25 z^8 + (11 z^8)/a^4 + (
  18 z^8)/a^2 + 18 a^2 z^8 + (12 z^9)/a^3 + (27 z^9)/a + 15 a z^9 + 
  5 z^10 + (5 z^10)/a^2, 
 6 + 1/a^6 + 8/a^4 + 12/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - z/a^7 - (3 z)/a^5 - (8 z)/a^3 - (6 z)/a - 
  13 z^2 - z^2/a^10 + (2 z^2)/a^8 - (4 z^2)/a^6 - (32 z^2)/a^4 - (
  38 z^2)/a^2 + z^3/a^11 - (3 z^3)/a^9 + (7 z^3)/a^7 + (17 z^3)/
  a^5 + (4 z^3)/a^3 - (2 z^3)/a + 13 z^4 + (3 z^4)/a^10 - (9 z^4)/
  a^8 + (9 z^4)/a^6 + (59 z^4)/a^4 + (51 z^4)/a^2 + (5 z^5)/a^9 - (
  16 z^5)/a^7 - (13 z^5)/a^5 + (22 z^5)/a^3 + (14 z^5)/a - 6 z^6 + (
  7 z^6)/a^8 - (17 z^6)/a^6 - (42 z^6)/a^4 - (24 z^6)/a^2 + (8 z^7)/
  a^7 - (6 z^7)/a^5 - (24 z^7)/a^3 - (10 z^7)/a + z^8 + (7 z^8)/
  a^6 + (7 z^8)/a^4 + z^8/a^2 + (4 z^9)/a^5 + (6 z^9)/a^3 + (2 z^9)/
  a + z^10/a^4 + z^10/a^2, 
 4 + 2/a^6 + 10/a^4 + 12/a^2 - a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) - z/a^7 - (3 z)/a^5 - (8 z)/a^3 - (
  6 z)/a - 2 z^2 + (2 z^2)/a^8 - (9 z^2)/a^6 - (35 z^2)/a^4 - (
  29 z^2)/a^2 + 3 a^2 z^2 - (2 z^3)/a^9 + (6 z^3)/a^7 + (9 z^3)/
  a^5 + (5 z^3)/a^3 + (9 z^3)/a + 5 a z^3 + 2 z^4 - (6 z^4)/a^8 + (
  17 z^4)/a^6 + (53 z^4)/a^4 + (35 z^4)/a^2 - 3 a^2 z^4 + z^5/a^9 - (
  10 z^5)/a^7 - (2 z^5)/a^5 + (7 z^5)/a^3 - (10 z^5)/a - 8 a z^5 - 
  8 z^6 + (3 z^6)/a^8 - (14 z^6)/a^6 - (35 z^6)/a^4 - (27 z^6)/a^2 + 
  a^2 z^6 + (5 z^7)/a^7 - (4 z^7)/a^5 - (13 z^7)/a^3 - z^7/a + 
  3 a z^7 + 4 z^8 + (6 z^8)/a^6 + (10 z^8)/a^4 + (8 z^8)/a^2 + (
  4 z^9)/a^5 + (7 z^9)/a^3 + (3 z^9)/a + z^10/a^4 + z^10/a^2, 
 6 a^4 + 12 a^6 + 8 a^8 + a^10 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (
  2 a^5)/z + (2 a^7)/z - 6 a^5 z - 8 a^7 z - 3 a^9 z - a^11 z + 
  2 a^2 z^2 - 13 a^4 z^2 - 37 a^6 z^2 - 24 a^8 z^2 + 2 a^12 z^2 + 
  5 a^3 z^3 + 7 a^5 z^3 + 14 a^7 z^3 + 18 a^9 z^3 + 5 a^11 z^3 - 
  a^13 z^3 - 3 a^2 z^4 + 16 a^4 z^4 + 53 a^6 z^4 + 39 a^8 z^4 - 
  a^10 z^4 - 6 a^12 z^4 - 8 a^3 z^5 - 3 a^5 z^5 - 6 a^7 z^5 - 
  23 a^9 z^5 - 11 a^11 z^5 + a^13 z^5 + a^2 z^6 - 14 a^4 z^6 - 
  40 a^6 z^6 - 36 a^8 z^6 - 7 a^10 z^6 + 4 a^12 z^6 + 3 a^3 z^7 - 
  5 a^5 z^7 - 9 a^7 z^7 + 6 a^9 z^7 + 7 a^11 z^7 + 5 a^4 z^8 + 
  12 a^6 z^8 + 14 a^8 z^8 + 7 a^10 z^8 + 4 a^5 z^9 + 8 a^7 z^9 + 
  4 a^9 z^9 + a^6 z^10 + a^8 z^10, 
 5 - 1/a^2 + 11 a^2 + 5 a^4 - a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - 9 a z - 9 a^3 z - 14 z^2 + (3 z^2)/a^4 - z^2/
  a^2 - 25 a^2 z^2 - 11 a^4 z^2 + 4 a^6 z^2 - (2 z^3)/a^5 + (3 z^3)/
  a^3 - (2 z^3)/a + 4 a z^3 + 14 a^3 z^3 + 3 a^5 z^3 + 24 z^4 - (
  7 z^4)/a^4 + (6 z^4)/a^2 + 27 a^2 z^4 + 12 a^4 z^4 - 4 a^6 z^4 + 
  z^5/a^5 - (8 z^5)/a^3 + (7 z^5)/a + 14 a z^5 - 8 a^3 z^5 - 
  6 a^5 z^5 - 14 z^6 + (3 z^6)/a^4 - (8 z^6)/a^2 - 14 a^2 z^6 - 
  10 a^4 z^6 + a^6 z^6 + (4 z^7)/a^3 - (6 z^7)/a - 14 a z^7 - 
  2 a^3 z^7 + 2 a^5 z^7 + 3 z^8 + (4 z^8)/a^2 + 2 a^2 z^8 + 
  3 a^4 z^8 + (3 z^9)/a + 5 a z^9 + 2 a^3 z^9 + z^10 + a^2 z^10, 
 7 + 11 a^2 + 3 a^4 - 2 a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - 9 a z - 9 a^3 z - 20 z^2 - (8 z^2)/a^2 - 
  21 a^2 z^2 - a^4 z^2 + 7 a^6 z^2 - a^8 z^2 + (4 z^3)/a^3 + (2 z^3)/
  a + 14 a z^3 + 22 a^3 z^3 + 4 a^5 z^3 - 2 a^7 z^3 + 33 z^4 + (
  18 z^4)/a^2 + 23 a^2 z^4 - a^4 z^4 - 8 a^6 z^4 + a^8 z^4 - (4 z^5)/
  a^3 + (5 z^5)/a - 5 a z^5 - 25 a^3 z^5 - 8 a^5 z^5 + 3 a^7 z^5 - 
  26 z^6 - (13 z^6)/a^2 - 24 a^2 z^6 - 5 a^4 z^6 + 6 a^6 z^6 + z^7/
  a^3 - (9 z^7)/a - 11 a z^7 + 6 a^3 z^7 + 7 a^5 z^7 + 5 z^8 + (
  3 z^8)/a^2 + 8 a^2 z^8 + 6 a^4 z^8 + (3 z^9)/a + 6 a z^9 + 
  3 a^3 z^9 + z^10 + a^2 z^10, 
 10 - 1/a^6 + 4/a^4 + 12/a^2 + 2 a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) - (6 z)/a^3 - (8 z)/a - 3 a z - 
  a^3 z - 36 z^2 - z^2/a^8 + (3 z^2)/a^6 - (6 z^2)/a^4 - (37 z^2)/
  a^2 - 9 a^2 z^2 - (3 z^3)/a^7 + (4 z^3)/a^5 + (8 z^3)/a^3 + (4 z^3)/
  a + 7 a z^3 + 4 a^3 z^3 + 56 z^4 + z^4/a^8 - (6 z^4)/a^6 + (10 z^4)/
  a^4 + (56 z^4)/a^2 + 17 a^2 z^4 + (3 z^5)/a^7 - (8 z^5)/a^5 - (
  3 z^5)/a^3 + (14 z^5)/a + 2 a z^5 - 4 a^3 z^5 - 37 z^6 + (5 z^6)/
  a^6 - (11 z^6)/a^4 - (40 z^6)/a^2 - 13 a^2 z^6 + (6 z^7)/a^5 - (
  5 z^7)/a^3 - (21 z^7)/a - 9 a z^7 + a^3 z^7 + 6 z^8 + (6 z^8)/
  a^4 + (9 z^8)/a^2 + 3 a^2 z^8 + (4 z^9)/a^3 + (7 z^9)/a + 3 a z^9 + 
  z^10 + z^10/a^2, 
 3 + 7 a^2 + 7 a^4 + 2 a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - 2 a z - 4 a^3 z - 3 a^5 z - a^7 z - 9 z^2 + (2 z^2)/
  a^2 - 33 a^2 z^2 - 29 a^4 z^2 - 7 a^6 z^2 - z^3/a^3 + (7 z^3)/a + 
  8 a z^3 + 3 a^3 z^3 + 6 a^5 z^3 + 3 a^7 z^3 + 20 z^4 + z^4/a^4 - (
  7 z^4)/a^2 + 74 a^2 z^4 + 60 a^4 z^4 + 14 a^6 z^4 + (4 z^5)/a^3 - (
  18 z^5)/a - 8 a z^5 + 24 a^3 z^5 + 7 a^5 z^5 - 3 a^7 z^5 - 
  29 z^6 + (9 z^6)/a^2 - 73 a^2 z^6 - 48 a^4 z^6 - 13 a^6 z^6 + (
  14 z^7)/a - 13 a z^7 - 44 a^3 z^7 - 16 a^5 z^7 + a^7 z^7 + 16 z^8 + 
  19 a^2 z^8 + 7 a^4 z^8 + 4 a^6 z^8 + 11 a z^9 + 17 a^3 z^9 + 
  6 a^5 z^9 + 3 a^2 z^10 + 3 a^4 z^10, 
 7 + 2/a^2 + 7 a^2 + 3 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - z/a^3 - (3 z)/a - 4 a z - 2 a^3 z - 27 z^2 + z^2/
  a^4 - (9 z^2)/a^2 - 21 a^2 z^2 - 4 a^4 z^2 - z^3/a^5 + (7 z^3)/
  a^3 + (8 z^3)/a + 2 a^3 z^3 + 2 a^5 z^3 + 56 z^4 - (4 z^4)/a^4 + (
  18 z^4)/a^2 + 50 a^2 z^4 + 15 a^4 z^4 - a^6 z^4 + z^5/a^5 - (
  12 z^5)/a^3 - (4 z^5)/a + 20 a z^5 + 3 a^3 z^5 - 8 a^5 z^5 - 
  58 z^6 + (4 z^6)/a^4 - (21 z^6)/a^2 - 58 a^2 z^6 - 24 a^4 z^6 + 
  a^6 z^6 + (9 z^7)/a^3 - (10 z^7)/a - 42 a z^7 - 18 a^3 z^7 + 
  5 a^5 z^7 + 19 z^8 + (13 z^8)/a^2 + 17 a^2 z^8 + 11 a^4 z^8 + (
  11 z^9)/a + 22 a z^9 + 11 a^3 z^9 + 4 z^10 + 4 a^2 z^10, 
 3 - 2/a^2 + 11 a^2 + 7 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - 9 a z - 9 a^3 z - z^2 - z^2/a^6 + (4 z^2)/a^4 + (
  7 z^2)/a^2 - 20 a^2 z^2 - 17 a^4 z^2 + z^3/a^7 - (3 z^3)/a^5 + (
  5 z^3)/a^3 + (3 z^3)/a + 4 a z^3 + 10 a^3 z^3 + 8 z^4 + (3 z^4)/
  a^6 - (10 z^4)/a^4 - (5 z^4)/a^2 + 17 a^2 z^4 + 17 a^4 z^4 + (
  5 z^5)/a^5 - (13 z^5)/a^3 - (4 z^5)/a + 15 a z^5 + a^3 z^5 - 
  11 z^6 + (7 z^6)/a^4 - (8 z^6)/a^2 - 3 a^2 z^6 - 7 a^4 z^6 + (
  7 z^7)/a^3 - (5 z^7)/a - 16 a z^7 - 4 a^3 z^7 + z^8 + (5 z^8)/a^2 - 
  3 a^2 z^8 + a^4 z^8 + (3 z^9)/a + 4 a z^9 + a^3 z^9 + z^10 + 
  a^2 z^10, 
 7 + 2/a^2 + 7 a^2 + 3 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - z/a^3 - (3 z)/a - 4 a z - 2 a^3 z - 25 z^2 + z^2/
  a^4 - (6 z^2)/a^2 - 25 a^2 z^2 - 6 a^4 z^2 + a^6 z^2 - z^3/a^5 + (
  6 z^3)/a^3 + (12 z^3)/a + 6 a z^3 + 6 a^3 z^3 + 5 a^5 z^3 + 
  48 z^4 - (5 z^4)/a^4 + (12 z^4)/a^2 + 45 a^2 z^4 + 12 a^4 z^4 - 
  2 a^6 z^4 + z^5/a^5 - (12 z^5)/a^3 - (12 z^5)/a + 3 a z^5 - 
  7 a^3 z^5 - 9 a^5 z^5 - 47 z^6 + (4 z^6)/a^4 - (16 z^6)/a^2 - 
  44 a^2 z^6 - 16 a^4 z^6 + a^6 z^6 + (8 z^7)/a^3 - (2 z^7)/a - 
  20 a z^7 - 6 a^3 z^7 + 4 a^5 z^7 + 17 z^8 + (10 z^8)/a^2 + 
  14 a^2 z^8 + 7 a^4 z^8 + (7 z^9)/a + 13 a z^9 + 6 a^3 z^9 + 
  2 z^10 + 2 a^2 z^10, 
 1 + a^2 + a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/z + (2 a^3)/z -
   a z - a^3 z - 10 z^2 - (6 z^2)/a^2 - 2 a^2 z^2 + 2 a^4 z^2 + (
  5 z^3)/a^3 + (3 z^3)/a - a z^3 + a^3 z^3 + 53 z^4 - (2 z^4)/a^4 + (
  21 z^4)/a^2 + 41 a^2 z^4 + 11 a^4 z^4 + z^5/a^5 - (13 z^5)/a^3 + 
  26 a z^5 + 6 a^3 z^5 - 6 a^5 z^5 - 81 z^6 + (5 z^6)/a^4 - (32 z^6)/
  a^2 - 72 a^2 z^6 - 27 a^4 z^6 + a^6 z^6 + (13 z^7)/a^3 - (21 z^7)/
  a - 67 a z^7 - 27 a^3 z^7 + 6 a^5 z^7 + 28 z^8 + (21 z^8)/a^2 + 
  22 a^2 z^8 + 15 a^4 z^8 + (19 z^9)/a + 36 a z^9 + 17 a^3 z^9 + 
  7 z^10 + 7 a^2 z^10, -(1/a^10) + 5/a^8 + 11/a^6 + 5/a^4 - 1/a^2 - 
  1/(a^8 z^2) - 2/(a^6 z^2) - 1/(a^4 z^2) + 2/(a^7 z) + 2/(a^5 z) - (
  9 z)/a^7 - (9 z)/a^5 - z^2/a^12 + (5 z^2)/a^10 - (12 z^2)/a^8 - (
  31 z^2)/a^6 - (17 z^2)/a^4 - (4 z^2)/a^2 - (2 z^3)/a^11 + (5 z^3)/
  a^9 + (17 z^3)/a^7 + (7 z^3)/a^5 - z^3/a^3 + (2 z^3)/a + z^4/
  a^12 - (7 z^4)/a^10 + (17 z^4)/a^8 + (50 z^4)/a^6 + (41 z^4)/a^4 + (
  16 z^4)/a^2 + (3 z^5)/a^11 - (10 z^5)/a^9 - (12 z^5)/a^7 + (16 z^5)/
  a^5 + (12 z^5)/a^3 - (3 z^5)/a + (6 z^6)/a^10 - (17 z^6)/a^8 - (
  43 z^6)/a^6 - (35 z^6)/a^4 - (15 z^6)/a^2 + (8 z^7)/a^9 - (5 z^7)/
  a^7 - (30 z^7)/a^5 - (16 z^7)/a^3 + z^7/a + (9 z^8)/a^8 + (10 z^8)/
  a^6 + (5 z^8)/a^4 + (4 z^8)/a^2 + (6 z^9)/a^7 + (11 z^9)/a^5 + (
  5 z^9)/a^3 + (2 z^10)/a^6 + (2 z^10)/a^4, 
 8 + 6/a^4 + 12/a^2 + a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - (6 z)/a^3 - (8 z)/a - 3 a z - a^3 z - 32 z^2 + 
  z^2/a^6 - (12 z^2)/a^4 - (37 z^2)/a^2 - 7 a^2 z^2 + a^4 z^2 + (
  3 z^3)/a^5 + (4 z^3)/a^3 + (5 z^3)/a + 9 a z^3 + 4 a^3 z^3 - 
  a^5 z^3 + 64 z^4 - (2 z^4)/a^6 + (16 z^4)/a^4 + (62 z^4)/a^2 + 
  15 a^2 z^4 - 5 a^4 z^4 - (8 z^5)/a^5 + (3 z^5)/a^3 + (21 z^5)/a - 
  2 a z^5 - 11 a^3 z^5 + a^5 z^5 - 55 z^6 + z^6/a^6 - (19 z^6)/a^4 - (
  52 z^6)/a^2 - 19 a^2 z^6 + 4 a^4 z^6 + (4 z^7)/a^5 - (14 z^7)/
  a^3 - (36 z^7)/a - 10 a z^7 + 8 a^3 z^7 + 16 z^8 + (8 z^8)/a^4 + (
  13 z^8)/a^2 + 11 a^2 z^8 + (8 z^9)/a^3 + (17 z^9)/a + 9 a z^9 + 
  3 z^10 + (3 z^10)/a^2, 
 3 - 2/a^2 + 11 a^2 + 7 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - 9 a z - 9 a^3 z - 5 z^2 + (2 z^2)/a^4 + (3 z^2)/
  a^2 - 27 a^2 z^2 - 19 a^4 z^2 + 2 a^6 z^2 - z^3/a^5 + (3 z^3)/
  a^3 + (2 z^3)/a + 8 a z^3 + 13 a^3 z^3 + 3 a^5 z^3 + 20 z^4 - (
  6 z^4)/a^4 + z^4/a^2 + 39 a^2 z^4 + 23 a^4 z^4 - 3 a^6 z^4 + z^5/
  a^5 - (10 z^5)/a^3 - (3 z^5)/a + 10 a z^5 - 5 a^3 z^5 - 7 a^5 z^5 - 
  26 z^6 + (4 z^6)/a^4 - (10 z^6)/a^2 - 31 a^2 z^6 - 18 a^4 z^6 + 
  a^6 z^6 + (7 z^7)/a^3 - (4 z^7)/a - 21 a z^7 - 7 a^3 z^7 + 
  3 a^5 z^7 + 10 z^8 + (8 z^8)/a^2 + 8 a^2 z^8 + 6 a^4 z^8 + (6 z^9)/
  a + 11 a z^9 + 5 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 2 + 4/a^4 + 6/a^2 - a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - (5 z)/a^3 - (5 z)/a - 11 z^2 + z^2/a^6 - (
  10 z^2)/a^4 - (22 z^2)/a^2 + (4 z^3)/a^5 + (6 z^3)/a^3 + (11 z^3)/
  a + 13 a z^3 + 4 a^3 z^3 + 42 z^4 - (2 z^4)/a^6 + (16 z^4)/a^4 + (
  50 z^4)/a^2 + 6 a^2 z^4 - 4 a^4 z^4 - (8 z^5)/a^5 - z^5/a^3 + (
  2 z^5)/a - 20 a z^5 - 14 a^3 z^5 + a^5 z^5 - 57 z^6 + z^6/a^6 - (
  18 z^6)/a^4 - (52 z^6)/a^2 - 19 a^2 z^6 + 5 a^4 z^6 + (4 z^7)/
  a^5 - (11 z^7)/a^3 - (28 z^7)/a - 2 a z^7 + 11 a^3 z^7 + 22 z^8 + (
  8 z^8)/a^4 + (16 z^8)/a^2 + 14 a^2 z^8 + (8 z^9)/a^3 + (18 z^9)/a + 
  10 a z^9 + 3 z^10 + (3 z^10)/a^2, -a^2 + 4 a^4 + 12 a^6 + 10 a^8 + 
  2 a^10 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/z + (2 a^7)/z - 
  6 a^5 z - 8 a^7 z - 3 a^9 z - a^11 z - z^2 + 4 a^2 z^2 - 
  8 a^4 z^2 - 41 a^6 z^2 - 34 a^8 z^2 - 6 a^10 z^2 - 2 a z^3 + 
  9 a^3 z^3 + 12 a^5 z^3 + 8 a^7 z^3 + 10 a^9 z^3 + 3 a^11 z^3 + 
  z^4 - 6 a^2 z^4 + 15 a^4 z^4 + 66 a^6 z^4 + 59 a^8 z^4 + 
  15 a^10 z^4 + 3 a z^5 - 13 a^3 z^5 - 9 a^5 z^5 + 12 a^7 z^5 + 
  2 a^9 z^5 - 3 a^11 z^5 + 6 a^2 z^6 - 18 a^4 z^6 - 56 a^6 z^6 - 
  46 a^8 z^6 - 14 a^10 z^6 + 9 a^3 z^7 - 7 a^5 z^7 - 30 a^7 z^7 - 
  13 a^9 z^7 + a^11 z^7 + 10 a^4 z^8 + 14 a^6 z^8 + 8 a^8 z^8 + 
  4 a^10 z^8 + 7 a^5 z^9 + 12 a^7 z^9 + 5 a^9 z^9 + 2 a^6 z^10 + 
  2 a^8 z^10, 
 5 + 13 a^2 + 13 a^4 + 4 a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - 3 a z - 7 a^3 z - 6 a^5 z - 2 a^7 z - 10 z^2 + z^2/
  a^2 - 40 a^2 z^2 - 42 a^4 z^2 - 13 a^6 z^2 + (4 z^3)/a + 2 a z^3 + 
  3 a^3 z^3 + 13 a^5 z^3 + 7 a^7 z^3 - a^9 z^3 + 15 z^4 - (2 z^4)/
  a^2 + 62 a^2 z^4 + 73 a^4 z^4 + 24 a^6 z^4 - 4 a^8 z^4 - (8 z^5)/a +
   a z^5 + 18 a^3 z^5 - 5 a^5 z^5 - 13 a^7 z^5 + a^9 z^5 - 18 z^6 + 
  z^6/a^2 - 54 a^2 z^6 - 64 a^4 z^6 - 25 a^6 z^6 + 4 a^8 z^6 + (
  4 z^7)/a - 12 a z^7 - 35 a^3 z^7 - 10 a^5 z^7 + 9 a^7 z^7 + 8 z^8 + 
  15 a^2 z^8 + 20 a^4 z^8 + 13 a^6 z^8 + 8 a z^9 + 18 a^3 z^9 + 
  10 a^5 z^9 + 3 a^2 z^10 + 3 a^4 z^10, 
 2 a^2 + 10 a^4 + 12 a^6 + 4 a^8 - a^10 - a^4/z^2 - (2 a^6)/z^2 - a^8/
  z^2 + (2 a^5)/z + (2 a^7)/z - a z - 3 a^3 z - 8 a^5 z - 6 a^7 z + 
  z^2 - 7 a^2 z^2 - 31 a^4 z^2 - 31 a^6 z^2 - 5 a^8 z^2 + 3 a^10 z^2 -
   z^3/a + 5 a z^3 + 11 a^3 z^3 + 7 a^5 z^3 + 6 a^7 z^3 + 4 a^9 z^3 - 
  5 z^4 + 13 a^2 z^4 + 52 a^4 z^4 + 43 a^6 z^4 + 6 a^8 z^4 - 
  3 a^10 z^4 + z^5/a - 12 a z^5 - 9 a^3 z^5 + 8 a^5 z^5 - 3 a^7 z^5 - 
  7 a^9 z^5 + 4 z^6 - 17 a^2 z^6 - 45 a^4 z^6 - 35 a^6 z^6 - 
  10 a^8 z^6 + a^10 z^6 + 8 a z^7 - 4 a^3 z^7 - 21 a^5 z^7 - 
  6 a^7 z^7 + 3 a^9 z^7 + 10 a^2 z^8 + 15 a^4 z^8 + 10 a^6 z^8 + 
  5 a^8 z^8 + 7 a^3 z^9 + 12 a^5 z^9 + 5 a^7 z^9 + 2 a^4 z^10 + 
  2 a^6 z^10, 
 13 + 4/a^2 + 13 a^2 + 5 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - (2 z)/a^3 - (6 z)/a - 7 a z - 3 a^3 z - 54 z^2 + (
  4 z^2)/a^4 - (14 z^2)/a^2 - 46 a^2 z^2 - 10 a^4 z^2 + z^3/a^7 - (
  3 z^3)/a^5 + (14 z^3)/a^3 + (20 z^3)/a - 5 a z^3 - 7 a^3 z^3 + 
  98 z^4 + (3 z^4)/a^6 - (14 z^4)/a^4 + (28 z^4)/a^2 + 63 a^2 z^4 + 
  10 a^4 z^4 + (6 z^5)/a^5 - (28 z^5)/a^3 - (8 z^5)/a + 46 a z^5 + 
  20 a^3 z^5 - 69 z^6 + (10 z^6)/a^4 - (36 z^6)/a^2 - 28 a^2 z^6 - 
  5 a^4 z^6 + (13 z^7)/a^3 - (17 z^7)/a - 44 a z^7 - 14 a^3 z^7 + 
  11 z^8 + (13 z^8)/a^2 - a^2 z^8 + a^4 z^8 + (8 z^9)/a + 11 a z^9 + 
  3 a^3 z^9 + 2 z^10 + 2 a^2 z^10, 
 7 a^8 + 11 a^10 + 3 a^12 - 2 a^14 - a^8/z^2 - (2 a^10)/z^2 - a^12/
  z^2 + (2 a^9)/z + (2 a^11)/z - 9 a^9 z - 9 a^11 z + 4 a^6 z^2 - 
  19 a^8 z^2 - 33 a^10 z^2 - 11 a^12 z^2 - a^14 z^2 + 8 a^7 z^3 + 
  19 a^9 z^3 + 9 a^11 z^3 - a^13 z^3 + a^15 z^3 + a^4 z^4 - 
  8 a^6 z^4 + 28 a^8 z^4 + 70 a^10 z^4 + 46 a^12 z^4 + 13 a^14 z^4 + 
  4 a^5 z^5 - 20 a^7 z^5 - 17 a^9 z^5 + 26 a^11 z^5 + 17 a^13 z^5 - 
  2 a^15 z^5 + 10 a^6 z^6 - 35 a^8 z^6 - 76 a^10 z^6 - 46 a^12 z^6 - 
  15 a^14 z^6 + 16 a^7 z^7 - 13 a^9 z^7 - 53 a^11 z^7 - 23 a^13 z^7 + 
  a^15 z^7 + 19 a^8 z^8 + 20 a^10 z^8 + 6 a^12 z^8 + 5 a^14 z^8 + 
  13 a^9 z^9 + 21 a^11 z^9 + 8 a^13 z^9 + 4 a^10 z^10 + 4 a^12 z^10, 
 5 - 1/a^2 + 11 a^2 + 5 a^4 - a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - 9 a z - 9 a^3 z - 12 z^2 + (2 z^2)/a^4 - (
  2 z^2)/a^2 - 23 a^2 z^2 - 12 a^4 z^2 + 3 a^6 z^2 - z^3/a^5 + (
  5 z^3)/a^3 + (6 z^3)/a + 18 a z^3 + 21 a^3 z^3 + 3 a^5 z^3 + 
  27 z^4 - (5 z^4)/a^4 + (8 z^4)/a^2 + 32 a^2 z^4 + 15 a^4 z^4 - 
  3 a^6 z^4 + z^5/a^5 - (11 z^5)/a^3 - (11 z^5)/a - 11 a z^5 - 
  18 a^3 z^5 - 6 a^5 z^5 - 37 z^6 + (4 z^6)/a^4 - (14 z^6)/a^2 - 
  34 a^2 z^6 - 14 a^4 z^6 + a^6 z^6 + (8 z^7)/a^3 - z^7/a - 13 a z^7 -
   a^3 z^7 + 3 a^5 z^7 + 16 z^8 + (10 z^8)/a^2 + 12 a^2 z^8 + 
  6 a^4 z^8 + (7 z^9)/a + 12 a z^9 + 5 a^3 z^9 + 2 z^10 + 
  2 a^2 z^10, -23 a^8 - 60 a^10 - 58 a^12 - 24 a^14 - 4 a^16 - (
  2 a^7)/z^3 - (7 a^9)/z^3 - (9 a^11)/z^3 - (5 a^13)/z^3 - a^15/
  z^3 + (7 a^8)/z^2 + (19 a^10)/z^2 + (18 a^12)/z^2 + (7 a^14)/z^2 + 
  a^16/z^2 + (9 a^7)/z + (23 a^9)/z + (24 a^11)/z + (12 a^13)/z + (
  2 a^15)/z - 16 a^7 z - 39 a^9 z - 37 a^11 z - 16 a^13 z - 
  2 a^15 z + 26 a^8 z^2 + 73 a^10 z^2 + 75 a^12 z^2 + 34 a^14 z^2 + 
  6 a^16 z^2 - a^5 z^3 + 19 a^7 z^3 + 47 a^9 z^3 + 45 a^11 z^3 + 
  22 a^13 z^3 + 4 a^15 z^3 - 3 a^6 z^4 - 12 a^8 z^4 - 29 a^10 z^4 - 
  38 a^12 z^4 - 22 a^14 z^4 - 4 a^16 z^4 + a^5 z^5 - 19 a^7 z^5 - 
  40 a^9 z^5 - 34 a^11 z^5 - 19 a^13 z^5 - 5 a^15 z^5 + 4 a^6 z^6 - 
  10 a^8 z^6 - 19 a^10 z^6 - 3 a^12 z^6 + 3 a^14 z^6 + a^16 z^6 + 
  10 a^7 z^7 + 10 a^9 z^7 + 3 a^11 z^7 + 5 a^13 z^7 + 2 a^15 z^7 + 
  10 a^8 z^8 + 15 a^10 z^8 + 7 a^12 z^8 + 2 a^14 z^8 + 5 a^9 z^9 + 
  7 a^11 z^9 + 2 a^13 z^9 + a^10 z^10 + a^12 z^10, -58 - 4/a^4 - 24/
  a^2 - 60 a^2 - 23 a^4 - 1/(a^3 z^3) - 5/(a z^3) - (9 a)/z^3 - (
  7 a^3)/z^3 - (2 a^5)/z^3 + 18/z^2 + 1/(a^4 z^2) + 7/(a^2 z^2) + (
  19 a^2)/z^2 + (7 a^4)/z^2 + 2/(a^3 z) + 12/(a z) + (24 a)/z + (
  23 a^3)/z + (9 a^5)/z - (2 z)/a^3 - (16 z)/a - 37 a z - 39 a^3 z - 
  16 a^5 z + 75 z^2 + (6 z^2)/a^4 + (34 z^2)/a^2 + 73 a^2 z^2 + 
  26 a^4 z^2 + (8 z^3)/a^3 + (22 z^3)/a + 42 a z^3 + 42 a^3 z^3 + 
  14 a^5 z^3 - 34 z^4 + z^4/a^6 - (10 z^4)/a^4 - (19 z^4)/a^2 - 
  36 a^2 z^4 - 10 a^4 z^4 + (4 z^5)/a^5 - (20 z^5)/a^3 - (28 z^5)/a - 
  21 a z^5 - 23 a^3 z^5 - 6 a^5 z^5 - 16 z^6 + (10 z^6)/a^4 - (9 z^6)/
  a^2 + 2 a^2 z^6 - a^4 z^6 + (14 z^7)/a^3 + (6 z^7)/a - 6 a z^7 + 
  3 a^3 z^7 + a^5 z^7 + 11 z^8 + (11 z^8)/a^2 + a^2 z^8 + a^4 z^8 + (
  5 z^9)/a + 6 a z^9 + a^3 z^9 + z^10 + a^2 z^10, 
 8 a^2 + 15 a^4 + 8 a^6 + a/z^3 + (3 a^3)/z^3 + (3 a^5)/z^3 + a^7/
  z^3 - (3 a^2)/z^2 - (6 a^4)/z^2 - (3 a^6)/z^2 - (4 a)/z - (9 a^3)/
  z - (9 a^5)/z - (4 a^7)/z + 6 a z + 14 a^3 z + 14 a^5 z + 6 a^7 z - 
  6 a^2 z^2 - 12 a^4 z^2 - 6 a^6 z^2 + (4 z^3)/a^3 - 8 a z^3 - 
  12 a^3 z^3 - 12 a^5 z^3 - 4 a^7 z^3 + 12 z^4 - (2 z^4)/a^4 + (
  13 z^4)/a^2 - 3 a^2 z^4 - (11 z^5)/a^3 + (5 z^5)/a + 17 a z^5 + 
  3 a^3 z^5 + 3 a^5 z^5 + a^7 z^5 - 16 z^6 + z^6/a^4 - (19 z^6)/a^2 + 
  5 a^2 z^6 + 2 a^4 z^6 + a^6 z^6 + (4 z^7)/a^3 - (10 z^7)/a - 
  14 a z^7 + a^3 z^7 + a^5 z^7 + 4 z^8 + (6 z^8)/a^2 - a^2 z^8 + 
  a^4 z^8 + (4 z^9)/a + 5 a z^9 + a^3 z^9 + z^10 + a^2 z^10, -9 a^4 - 
  21 a^6 - 18 a^8 - 6 a^10 - a^12 - a^3/z^3 - (3 a^5)/z^3 - (3 a^7)/
  z^3 - a^9/z^3 + (3 a^4)/z^2 + (6 a^6)/z^2 + (3 a^8)/z^2 + (5 a^3)/
  z + (14 a^5)/z + (18 a^7)/z + (11 a^9)/z + (2 a^11)/z - 10 a^3 z - 
  35 a^5 z - 49 a^7 z - 30 a^9 z - 6 a^11 z + 7 a^4 z^2 + 
  24 a^6 z^2 + 28 a^8 z^2 + 14 a^10 z^2 + 3 a^12 z^2 - a z^3 + 
  14 a^3 z^3 + 56 a^5 z^3 + 74 a^7 z^3 + 42 a^9 z^3 + 9 a^11 z^3 - 
  4 a^2 z^4 + 4 a^4 z^4 + 9 a^6 z^4 - 4 a^8 z^4 - 8 a^10 z^4 - 
  3 a^12 z^4 + a z^5 - 16 a^3 z^5 - 48 a^5 z^5 - 56 a^7 z^5 - 
  33 a^9 z^5 - 8 a^11 z^5 + 4 a^2 z^6 - 14 a^4 z^6 - 37 a^6 z^6 - 
  24 a^8 z^6 - 4 a^10 z^6 + a^12 z^6 + 9 a^3 z^7 + 12 a^5 z^7 + 
  7 a^7 z^7 + 7 a^9 z^7 + 3 a^11 z^7 + 10 a^4 z^8 + 19 a^6 z^8 + 
  13 a^8 z^8 + 4 a^10 z^8 + 5 a^5 z^9 + 8 a^7 z^9 + 3 a^9 z^9 + 
  a^6 z^10 + a^8 z^10, -11 + 1/a^2 - 24 a^2 - 13 a^4 - 1/(a z^3) - (
  3 a)/z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/z^2 + (6 a^2)/z^2 + (3 a^4)/
  z^2 - 1/(a^3 z) + 3/(a z) + (12 a)/z + (14 a^3)/z + (6 a^5)/z + (
  3 z)/a^3 - (3 z)/a - 21 a z - 28 a^3 z - 13 a^5 z + 16 z^2 + 
  33 a^2 z^2 + 17 a^4 z^2 - (3 z^3)/a^5 + 16 a z^3 + 32 a^3 z^3 + 
  13 a^5 z^3 - z^4 + z^4/a^6 - (7 z^4)/a^4 + (4 z^4)/a^2 - 
  19 a^2 z^4 - 6 a^4 z^4 + (4 z^5)/a^5 - (9 z^5)/a^3 + 2 a z^5 - 
  17 a^3 z^5 - 6 a^5 z^5 - 13 z^6 + (7 z^6)/a^4 - (10 z^6)/a^2 + 
  2 a^2 z^6 - 2 a^4 z^6 + (8 z^7)/a^3 - (4 z^7)/a - 12 a z^7 + 
  a^3 z^7 + a^5 z^7 + 5 z^8 + (7 z^8)/a^2 - a^2 z^8 + a^4 z^8 + (
  4 z^9)/a + 5 a z^9 + a^3 z^9 + z^10 + a^2 z^10, -13 - 24 a^2 - 
  11 a^4 + a^6 - 1/(a z^3) - (3 a)/z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/
  z^2 + (6 a^2)/z^2 + (3 a^4)/z^2 + 6/(a z) + (14 a)/z + (12 a^3)/
  z + (3 a^5)/z - a^7/z - (13 z)/a - 28 a z - 21 a^3 z - 3 a^5 z + 
  3 a^7 z + 17 z^2 + 33 a^2 z^2 + 16 a^4 z^2 + (7 z^3)/a^3 + (14 z^3)/
  a + 29 a z^3 + 26 a^3 z^3 + a^5 z^3 - 3 a^7 z^3 + 2 z^4 - (2 z^4)/
  a^4 + (10 z^4)/a^2 - 17 a^2 z^4 - 10 a^4 z^4 - 3 a^6 z^4 - (11 z^5)/
  a^3 - (9 z^5)/a - 13 a z^5 - 19 a^3 z^5 - 3 a^5 z^5 + a^7 z^5 - 
  19 z^6 + z^6/a^4 - (16 z^6)/a^2 - 3 a^2 z^6 + a^4 z^6 + 
  2 a^6 z^6 + (4 z^7)/a^3 - (4 z^7)/a - 5 a z^7 + 6 a^3 z^7 + 
  3 a^5 z^7 + 8 z^8 + (6 z^8)/a^2 + 5 a^2 z^8 + 3 a^4 z^8 + (4 z^9)/
  a + 6 a z^9 + 2 a^3 z^9 + z^10 + a^2 z^10, -18 - 1/a^4 - 6/a^2 - 
  21 a^2 - 9 a^4 - 1/(a z^3) - (3 a)/z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/
  z^2 + (6 a^2)/z^2 + (3 a^4)/z^2 + 2/(a^3 z) + 11/(a z) + (18 a)/
  z + (14 a^3)/z + (5 a^5)/z - (6 z)/a^3 - (30 z)/a - 49 a z - 
  35 a^3 z - 10 a^5 z + 28 z^2 + (3 z^2)/a^4 + (14 z^2)/a^2 + 
  24 a^2 z^2 + 7 a^4 z^2 - z^3/a^5 + (13 z^3)/a^3 + (53 z^3)/a + 
  74 a z^3 + 45 a^3 z^3 + 10 a^5 z^3 + 2 z^4 + z^4/a^6 - (8 z^4)/
  a^4 - (10 z^4)/a^2 + 6 a^2 z^4 + 3 a^4 z^4 + (4 z^5)/a^5 - (19 z^5)/
  a^3 - (52 z^5)/a - 48 a z^5 - 24 a^3 z^5 - 5 a^5 z^5 - 36 z^6 + (
  9 z^6)/a^4 - (10 z^6)/a^2 - 23 a^2 z^6 - 6 a^4 z^6 + (13 z^7)/
  a^3 + (12 z^7)/a - a z^7 + a^3 z^7 + a^5 z^7 + 16 z^8 + (11 z^8)/
  a^2 + 7 a^2 z^8 + 2 a^4 z^8 + (5 z^9)/a + 7 a z^9 + 2 a^3 z^9 + 
  z^10 + a^2 z^10, -9 a^4 - 21 a^6 - 18 a^8 - 6 a^10 - a^12 - a^3/
  z^3 - (3 a^5)/z^3 - (3 a^7)/z^3 - a^9/z^3 + (3 a^4)/z^2 + (6 a^6)/
  z^2 + (3 a^8)/z^2 + (5 a^3)/z + (14 a^5)/z + (18 a^7)/z + (11 a^9)/
  z + (2 a^11)/z + a z - 11 a^3 z - 40 a^5 z - 52 a^7 z - 30 a^9 z - 
  6 a^11 z + a^2 z^2 + 12 a^4 z^2 + 27 a^6 z^2 + 27 a^8 z^2 + 
  14 a^10 z^2 + 3 a^12 z^2 - 2 a z^3 + 12 a^3 z^3 + 59 a^5 z^3 + 
  79 a^7 z^3 + 43 a^9 z^3 + 9 a^11 z^3 - 4 a^2 z^4 - 2 a^4 z^4 - 
  a^6 z^4 - 8 a^8 z^4 - 8 a^10 z^4 - 3 a^12 z^4 + a z^5 - 
  10 a^3 z^5 - 44 a^5 z^5 - 59 a^7 z^5 - 34 a^9 z^5 - 8 a^11 z^5 + 
  3 a^2 z^6 - 7 a^4 z^6 - 26 a^6 z^6 - 21 a^8 z^6 - 4 a^10 z^6 + 
  a^12 z^6 + 6 a^3 z^7 + 11 a^5 z^7 + 9 a^7 z^7 + 7 a^9 z^7 + 
  3 a^11 z^7 + 7 a^4 z^8 + 15 a^6 z^8 + 12 a^8 z^8 + 4 a^10 z^8 + 
  4 a^5 z^9 + 7 a^7 z^9 + 3 a^9 z^9 + a^6 z^10 + a^8 z^10, -18 - 1/
  a^4 - 6/a^2 - 21 a^2 - 9 a^4 - 1/(a z^3) - (3 a)/z^3 - (3 a^3)/z^3 -
   a^5/z^3 + 3/z^2 + (6 a^2)/z^2 + (3 a^4)/z^2 + 2/(a^3 z) + 11/(
  a z) + (18 a)/z + (14 a^3)/z + (5 a^5)/z - (9 z)/a^3 - (35 z)/a - 
  50 a z - 34 a^3 z - 10 a^5 z + 23 z^2 + (4 z^2)/a^4 + (15 z^2)/
  a^2 + 19 a^2 z^2 + 7 a^4 z^2 + (17 z^3)/a^3 + (61 z^3)/a + 
  77 a z^3 + 43 a^3 z^3 + 10 a^5 z^3 + 14 z^4 + z^4/a^6 - (8 z^4)/
  a^4 - (6 z^4)/a^2 + 14 a^2 z^4 + 3 a^4 z^4 + (4 z^5)/a^5 - (25 z^5)/
  a^3 - (59 z^5)/a - 48 a z^5 - 23 a^3 z^5 - 5 a^5 z^5 - 48 z^6 + (
  10 z^6)/a^4 - (17 z^6)/a^2 - 27 a^2 z^6 - 6 a^4 z^6 + (16 z^7)/
  a^3 + (13 z^7)/a - 3 a z^7 + a^3 z^7 + a^5 z^7 + 20 z^8 + (14 z^8)/
  a^2 + 8 a^2 z^8 + 2 a^4 z^8 + (6 z^9)/a + 8 a z^9 + 2 a^3 z^9 + 
  z^10 + a^2 z^10, -13 a^4 - 24 a^6 - 11 a^8 + a^10 - a^3/z^3 - (
  3 a^5)/z^3 - (3 a^7)/z^3 - a^9/z^3 + (3 a^4)/z^2 + (6 a^6)/z^2 + (
  3 a^8)/z^2 + (6 a^3)/z + (14 a^5)/z + (12 a^7)/z + (3 a^9)/z - a^11/
  z - 3 a z - 18 a^3 z - 29 a^5 z - 20 a^7 z - 3 a^9 z + 3 a^11 z + 
  z^2 + a^2 z^2 + 12 a^4 z^2 + 28 a^6 z^2 + 16 a^8 z^2 + 8 a z^3 + 
  31 a^3 z^3 + 39 a^5 z^3 + 20 a^7 z^3 + a^9 z^3 - 3 a^11 z^3 - 
  2 z^4 + 2 a^2 z^4 + 16 a^4 z^4 + 3 a^6 z^4 - 12 a^8 z^4 - 
  3 a^10 z^4 - 10 a z^5 - 28 a^3 z^5 - 23 a^5 z^5 - 9 a^7 z^5 - 
  3 a^9 z^5 + a^11 z^5 + z^6 - 12 a^2 z^6 - 32 a^4 z^6 - 19 a^6 z^6 + 
  2 a^8 z^6 + 2 a^10 z^6 + 4 a z^7 + 2 a^3 z^7 - 4 a^5 z^7 + 
  a^7 z^7 + 3 a^9 z^7 + 6 a^2 z^8 + 12 a^4 z^8 + 9 a^6 z^8 + 
  3 a^8 z^8 + 4 a^3 z^9 + 7 a^5 z^9 + 3 a^7 z^9 + a^4 z^10 + 
  a^6 z^10, -9 - 21 a^2 - 18 a^4 - 6 a^6 - a^8 - 1/(a z^3) - (3 a)/
  z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/z^2 + (6 a^2)/z^2 + (3 a^4)/z^2 + 
  5/(a z) + (14 a)/z + (18 a^3)/z + (11 a^5)/z + (2 a^7)/z - (7 z)/
  a - 30 a z - 48 a^3 z - 31 a^5 z - 6 a^7 z + 5 z^2 + 24 a^2 z^2 + 
  30 a^4 z^2 + 14 a^6 z^2 + 3 a^8 z^2 + (9 z^3)/a + 43 a z^3 + 
  68 a^3 z^3 + 43 a^5 z^3 + 9 a^7 z^3 + 5 z^4 - (2 z^4)/a^2 + 
  11 a^2 z^4 - 2 a^4 z^4 - 9 a^6 z^4 - 3 a^8 z^4 + z^5/a^3 - (18 z^5)/
  a - 43 a z^5 - 44 a^3 z^5 - 28 a^5 z^5 - 8 a^7 z^5 - 23 z^6 + (
  5 z^6)/a^2 - 48 a^2 z^6 - 24 a^4 z^6 - 3 a^6 z^6 + a^8 z^6 + (
  13 z^7)/a + 7 a z^7 - 5 a^3 z^7 + 4 a^5 z^7 + 3 a^7 z^7 + 16 z^8 + 
  24 a^2 z^8 + 12 a^4 z^8 + 4 a^6 z^8 + 9 a z^9 + 13 a^3 z^9 + 
  4 a^5 z^9 + 2 a^2 z^10 + 2 a^4 z^10, 
 4/a^6 + 7/a^4 + 4/a^2 + 1/(a^7 z^3) + 3/(a^5 z^3) + 3/(a^3 z^3) + 1/(
  a z^3) - 3/(a^6 z^2) - 6/(a^4 z^2) - 3/(a^2 z^2) - 2/(a^7 z) - 3/(
  a^5 z) - 3/(a^3 z) - 2/(a z) - (3 z)/a^7 - (11 z)/a^5 - (11 z)/
  a^3 - (3 z)/a + z^2 + z^2/a^8 + (3 z^2)/a^6 + (4 z^2)/a^4 + (3 z^2)/
  a^2 + (6 z^3)/a^9 + (20 z^3)/a^7 + (36 z^3)/a^5 + (32 z^3)/a^3 + (
  10 z^3)/a - 2 z^4 - (4 z^4)/a^10 + (3 z^4)/a^8 + (14 z^4)/a^6 + (
  9 z^4)/a^4 + z^5/a^11 - (15 z^5)/a^9 - (31 z^5)/a^7 - (35 z^5)/
  a^5 - (30 z^5)/a^3 - (10 z^5)/a + z^6 + (5 z^6)/a^10 - (16 z^6)/
  a^8 - (43 z^6)/a^6 - (32 z^6)/a^4 - (9 z^6)/a^2 + (11 z^7)/a^9 + (
  6 z^7)/a^7 - (5 z^7)/a^5 + (4 z^7)/a^3 + (4 z^7)/a + (13 z^8)/
  a^8 + (22 z^8)/a^6 + (15 z^8)/a^4 + (6 z^8)/a^2 + (8 z^9)/a^7 + (
  13 z^9)/a^5 + (5 z^9)/a^3 + (2 z^10)/a^6 + (2 z^10)/a^4, -10 a^8 - 
  19 a^10 - 10 a^12 - a^7/z^3 - (3 a^9)/z^3 - (3 a^11)/z^3 - a^13/
  z^3 + (3 a^8)/z^2 + (6 a^10)/z^2 + (3 a^12)/z^2 + (5 a^7)/z + (
  12 a^9)/z + (12 a^11)/z + (5 a^13)/z + a^5 z - 11 a^7 z - 
  29 a^9 z - 29 a^11 z - 15 a^13 z - 3 a^15 z + a^6 z^2 + 
  15 a^8 z^2 + 18 a^10 z^2 + 4 a^12 z^2 + a^14 z^2 + a^16 z^2 - 
  2 a^5 z^3 + 13 a^7 z^3 + 39 a^9 z^3 + 49 a^11 z^3 + 33 a^13 z^3 + 
  8 a^15 z^3 - 4 a^6 z^4 - 9 a^8 z^4 + 12 a^10 z^4 + 23 a^12 z^4 + 
  4 a^14 z^4 - 2 a^16 z^4 + a^5 z^5 - 11 a^7 z^5 - 29 a^9 z^5 - 
  38 a^11 z^5 - 31 a^13 z^5 - 10 a^15 z^5 + 3 a^6 z^6 - 3 a^8 z^6 - 
  31 a^10 z^6 - 38 a^12 z^6 - 12 a^14 z^6 + a^16 z^6 + 6 a^7 z^7 + 
  7 a^9 z^7 + a^11 z^7 + 4 a^13 z^7 + 4 a^15 z^7 + 6 a^8 z^8 + 
  15 a^10 z^8 + 15 a^12 z^8 + 6 a^14 z^8 + 4 a^9 z^9 + 8 a^11 z^9 + 
  4 a^13 z^9 + a^10 z^10 + a^12 z^10, -(10/a^8) - 19/a^6 - 10/a^4 - 
  1/(a^9 z^3) - 3/(a^7 z^3) - 3/(a^5 z^3) - 1/(a^3 z^3) + 3/(
  a^8 z^2) + 6/(a^6 z^2) + 3/(a^4 z^2) + 5/(a^9 z) + 12/(a^7 z) + 12/(
  a^5 z) + 5/(a^3 z) - (2 z)/a^11 - (16 z)/a^9 - (31 z)/a^7 - (27 z)/
  a^5 - (10 z)/a^3 + z^2/a^12 + (2 z^2)/a^10 + (10 z^2)/a^8 + (
  18 z^2)/a^6 + (9 z^2)/a^4 - (2 z^3)/a^13 + (8 z^3)/a^11 + (32 z^3)/
  a^9 + (48 z^3)/a^7 + (36 z^3)/a^5 + (10 z^3)/a^3 + z^4/a^14 - (
  7 z^4)/a^12 + (2 z^4)/a^10 + (17 z^4)/a^8 + (9 z^4)/a^6 + (2 z^4)/
  a^4 + (4 z^5)/a^13 - (15 z^5)/a^11 - (32 z^5)/a^9 - (28 z^5)/a^7 - (
  20 z^5)/a^5 - (5 z^5)/a^3 + (8 z^6)/a^12 - (13 z^6)/a^10 - (37 z^6)/
  a^8 - (22 z^6)/a^6 - (6 z^6)/a^4 + (11 z^7)/a^11 + (5 z^7)/a^9 - (
  7 z^7)/a^7 + z^7/a^3 + (10 z^8)/a^10 + (14 z^8)/a^8 + (6 z^8)/
  a^6 + (2 z^8)/a^4 + (5 z^9)/a^9 + (7 z^9)/a^7 + (2 z^9)/a^5 + z^10/
  a^8 + z^10/a^6, -10 a^4 - 19 a^6 - 10 a^8 - a^3/z^3 - (3 a^5)/
  z^3 - (3 a^7)/z^3 - a^9/z^3 + (3 a^4)/z^2 + (6 a^6)/z^2 + (3 a^8)/
  z^2 + (5 a^3)/z + (12 a^5)/z + (12 a^7)/z + (5 a^9)/z + a z - 
  11 a^3 z - 33 a^5 z - 33 a^7 z - 11 a^9 z + a^11 z + a^2 z^2 + 
  14 a^4 z^2 + 26 a^6 z^2 + 14 a^8 z^2 + a^10 z^2 + 4 a z^3 + 
  14 a^3 z^3 + 46 a^5 z^3 + 50 a^7 z^3 + 12 a^9 z^3 - 2 a^11 z^3 - 
  z^4 + 10 a^2 z^4 + 11 a^4 z^4 - 4 a^8 z^4 - 4 a^10 z^4 - 10 a z^5 - 
  13 a^3 z^5 - 27 a^5 z^5 - 35 a^7 z^5 - 10 a^9 z^5 + a^11 z^5 + 
  z^6 - 20 a^2 z^6 - 37 a^4 z^6 - 25 a^6 z^6 - 6 a^8 z^6 + 
  3 a^10 z^6 + 5 a z^7 - 6 a^3 z^7 - 10 a^5 z^7 + 7 a^7 z^7 + 
  6 a^9 z^7 + 9 a^2 z^8 + 15 a^4 z^8 + 13 a^6 z^8 + 7 a^8 z^8 + 
  7 a^3 z^9 + 12 a^5 z^9 + 5 a^7 z^9 + 2 a^4 z^10 + 
  2 a^6 z^10, -10 a^4 - 19 a^6 - 10 a^8 - a^3/z^3 - (3 a^5)/z^3 - (
  3 a^7)/z^3 - a^9/z^3 + (3 a^4)/z^2 + (6 a^6)/z^2 + (3 a^8)/z^2 + (
  5 a^3)/z + (12 a^5)/z + (12 a^7)/z + (5 a^9)/z - 6 a z - 20 a^3 z - 
  27 a^5 z - 23 a^7 z - 10 a^9 z + 2 z^2 + 2 a^2 z^2 + 10 a^6 z^2 + 
  10 a^8 z^2 - z^3/a + 15 a z^3 + 53 a^3 z^3 + 49 a^5 z^3 + 
  22 a^7 z^3 + 10 a^9 z^3 - 7 z^4 + z^4/a^2 + 2 a^2 z^4 + 
  41 a^4 z^4 + 31 a^6 z^4 + (4 z^5)/a - 21 a z^5 - 57 a^3 z^5 - 
  34 a^5 z^5 - 7 a^7 z^5 - 5 a^9 z^5 + 9 z^6 - 17 a^2 z^6 - 
  61 a^4 z^6 - 40 a^6 z^6 - 5 a^8 z^6 + 14 a z^7 + 12 a^3 z^7 - 
  8 a^5 z^7 - 5 a^7 z^7 + a^9 z^7 + 13 a^2 z^8 + 22 a^4 z^8 + 
  11 a^6 z^8 + 2 a^8 z^8 + 6 a^3 z^9 + 9 a^5 z^9 + 3 a^7 z^9 + 
  a^4 z^10 + a^6 z^10, -10 a^8 - 19 a^10 - 10 a^12 - a^7/z^3 - (
  3 a^9)/z^3 - (3 a^11)/z^3 - a^13/z^3 + (3 a^8)/z^2 + (6 a^10)/
  z^2 + (3 a^12)/z^2 + (5 a^7)/z + (12 a^9)/z + (12 a^11)/z + (
  5 a^13)/z - 11 a^7 z - 23 a^9 z - 21 a^11 z - 12 a^13 z - 
  3 a^15 z + 12 a^8 z^2 + 15 a^10 z^2 + 3 a^12 z^2 + a^14 z^2 + 
  a^16 z^2 - a^5 z^3 + 17 a^7 z^3 + 32 a^9 z^3 + 31 a^11 z^3 + 
  25 a^13 z^3 + 8 a^15 z^3 - 3 a^6 z^4 + a^8 z^4 + 22 a^10 z^4 + 
  26 a^12 z^4 + 6 a^14 z^4 - 2 a^16 z^4 + a^5 z^5 - 17 a^7 z^5 - 
  30 a^9 z^5 - 26 a^11 z^5 - 23 a^13 z^5 - 9 a^15 z^5 + 4 a^6 z^6 - 
  15 a^8 z^6 - 50 a^10 z^6 - 45 a^12 z^6 - 13 a^14 z^6 + a^16 z^6 + 
  10 a^7 z^7 + 4 a^9 z^7 - 10 a^11 z^7 + 4 a^15 z^7 + 12 a^8 z^8 + 
  23 a^10 z^8 + 18 a^12 z^8 + 7 a^14 z^8 + 8 a^9 z^9 + 14 a^11 z^9 + 
  6 a^13 z^9 + 2 a^10 z^10 + 2 a^12 z^10, -10 a^2 - 25 a^4 - 31 a^6 - 
  25 a^8 - 10 a^10 - a^2/z^4 - (4 a^4)/z^4 - (6 a^6)/z^4 - (4 a^8)/
  z^4 - a^10/z^4 + (4 a^3)/z^3 + (12 a^5)/z^3 + (12 a^7)/z^3 + (
  4 a^9)/z^3 + (5 a^2)/z^2 + (14 a^4)/z^2 + (18 a^6)/z^2 + (14 a^8)/
  z^2 + (5 a^10)/z^2 - (15 a^3)/z - (41 a^5)/z - (41 a^7)/z - (
  15 a^9)/z + 20 a^3 z + 55 a^5 z + 55 a^7 z + 20 a^9 z + 
  10 a^2 z^2 + 30 a^4 z^2 + 40 a^6 z^2 + 30 a^8 z^2 + 10 a^10 z^2 - 
  10 a^3 z^3 - 30 a^5 z^3 - 30 a^7 z^3 - 10 a^9 z^3 - 5 z^4 - 
  11 a^4 z^4 - 31 a^6 z^4 - 20 a^8 z^4 - 5 a^10 z^4 + z^5/a - 
  15 a z^5 - 5 a^3 z^5 + 11 a^5 z^5 + 5 z^6 - 15 a^2 z^6 - 
  14 a^4 z^6 + 9 a^6 z^6 + 4 a^8 z^6 + a^10 z^6 + 10 a z^7 - 
  8 a^5 z^7 + 3 a^7 z^7 + a^9 z^7 + 10 a^2 z^8 + 10 a^4 z^8 + 
  a^6 z^8 + a^8 z^8 + 5 a^3 z^9 + 6 a^5 z^9 + a^7 z^9 + a^4 z^10 + 
  a^6 z^10, 
 2 a^6 - 2 a^10 - a^12 + a^3/z + (2 a^5)/z + (3 a^7)/z + (3 a^9)/z + 
  a^11/z - 4 a^3 z - 11 a^5 z - 17 a^7 z - 12 a^9 z - 2 a^11 z - 
  4 a^4 z^2 - 12 a^6 z^2 - 4 a^8 z^2 + 5 a^10 z^2 + a^12 z^2 + 
  7 a^3 z^3 + 18 a^5 z^3 + 25 a^7 z^3 + 16 a^9 z^3 + 2 a^11 z^3 + 
  13 a^4 z^4 + 25 a^6 z^4 + 9 a^8 z^4 - 3 a^10 z^4 - 5 a^3 z^5 - 
  8 a^5 z^5 - 12 a^7 z^5 - 9 a^9 z^5 - 10 a^4 z^6 - 19 a^6 z^6 - 
  8 a^8 z^6 + a^10 z^6 + a^3 z^7 - 2 a^5 z^7 - a^7 z^7 + 2 a^9 z^7 + 
  2 a^4 z^8 + 4 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 2 a^2 - 2 a^6 - a^8 + 1/(a z) + (2 a)/z + (3 a^3)/z + (3 a^5)/z + 
  a^7/z - (4 z)/a - 11 a z - 14 a^3 z - 10 a^5 z - 3 a^7 z - 4 z^2 - 
  11 a^2 z^2 - 8 a^4 z^2 + 3 a^6 z^2 + 4 a^8 z^2 + (3 z^3)/a + 
  17 a z^3 + 24 a^3 z^3 + 16 a^5 z^3 + 6 a^7 z^3 + 2 z^4 + 
  18 a^2 z^4 + 20 a^4 z^4 - 4 a^8 z^4 - 9 a z^5 - 14 a^3 z^5 - 
  12 a^5 z^5 - 7 a^7 z^5 + z^6 - 10 a^2 z^6 - 17 a^4 z^6 - 5 a^6 z^6 +
   a^8 z^6 + 3 a z^7 + 2 a^3 z^7 + a^5 z^7 + 2 a^7 z^7 + 3 a^2 z^8 + 
  5 a^4 z^8 + 2 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 2 a^2 - 2 a^6 - a^8 + 1/(a z) + (2 a)/z + (3 a^3)/z + (3 a^5)/z + 
  a^7/z - (2 z)/a - 7 a z - 12 a^3 z - 10 a^5 z - 3 a^7 z - 2 z^2 - 
  8 a^2 z^2 - 6 a^4 z^2 + 4 a^6 z^2 + 4 a^8 z^2 + z^3/a + 9 a z^3 + 
  15 a^3 z^3 + 13 a^5 z^3 + 6 a^7 z^3 + 2 z^4 + 15 a^2 z^4 + 
  16 a^4 z^4 - a^6 z^4 - 4 a^8 z^4 - 3 a z^5 - 5 a^3 z^5 - 
  9 a^5 z^5 - 7 a^7 z^5 - 8 a^2 z^6 - 14 a^4 z^6 - 5 a^6 z^6 + 
  a^8 z^6 + a z^7 - a^3 z^7 + 2 a^7 z^7 + 2 a^2 z^8 + 4 a^4 z^8 + 
  2 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 a^2 + 2 a^4 + 3 a^6 + a^8 + (2 a^3)/z + (4 a^5)/z + (3 a^7)/z + a^9/
  z - 3 a z - 16 a^3 z - 24 a^5 z - 15 a^7 z - 4 a^9 z + z^2 - 
  a^2 z^2 - 9 a^4 z^2 - 11 a^6 z^2 - 4 a^8 z^2 + 10 a z^3 + 
  33 a^3 z^3 + 39 a^5 z^3 + 19 a^7 z^3 + 3 a^9 z^3 - 3 z^4 + 
  5 a^2 z^4 + 22 a^4 z^4 + 16 a^6 z^4 + 2 a^8 z^4 - 11 a z^5 - 
  25 a^3 z^5 - 23 a^5 z^5 - 9 a^7 z^5 + z^6 - 9 a^2 z^6 - 
  20 a^4 z^6 - 9 a^6 z^6 + a^8 z^6 + 3 a z^7 + 4 a^3 z^7 + 
  4 a^5 z^7 + 3 a^7 z^7 + 3 a^2 z^8 + 6 a^4 z^8 + 3 a^6 z^8 + 
  a^3 z^9 + a^5 z^9, 
 2 + 1/a^2 + 3 a^2 + a^4 + 2/(a z) + (4 a)/z + (3 a^3)/z + a^5/z - (
  3 z)/a^3 - (13 z)/a - 22 a z - 16 a^3 z - 4 a^5 z - 11 z^2 + z^2/
  a^4 - 17 a^2 z^2 - 7 a^4 z^2 + (3 z^3)/a^3 + (21 z^3)/a + 
  37 a z^3 + 26 a^3 z^3 + 7 a^5 z^3 + 18 z^4 - z^4/a^2 + 33 a^2 z^4 + 
  14 a^4 z^4 - (13 z^5)/a - 21 a z^5 - 13 a^3 z^5 - 5 a^5 z^5 - 
  13 z^6 + z^6/a^2 - 24 a^2 z^6 - 10 a^4 z^6 + (3 z^7)/a + a z^7 - 
  a^3 z^7 + a^5 z^7 + 3 z^8 + 5 a^2 z^8 + 2 a^4 z^8 + a z^9 + a^3 z^9,
  2 + 1/a^2 + 3 a^2 + a^4 + 2/(a z) + (4 a)/z + (3 a^3)/z + a^5/z - (
  3 z)/a^3 - (13 z)/a - 20 a z - 12 a^3 z - 2 a^5 z - 11 z^2 + z^2/
  a^4 - z^2/a^2 - 12 a^2 z^2 - 3 a^4 z^2 + (9 z^3)/a^3 + (28 z^3)/a + 
  30 a z^3 + 12 a^3 z^3 + a^5 z^3 + 25 z^4 - (3 z^4)/a^4 + (6 z^4)/
  a^2 + 18 a^2 z^4 + 2 a^4 z^4 - (11 z^5)/a^3 - (20 z^5)/a - 
  13 a z^5 - 4 a^3 z^5 - 20 z^6 + z^6/a^4 - (10 z^6)/a^2 - 
  9 a^2 z^6 + (3 z^7)/a^3 + (2 z^7)/a + a^3 z^7 + 5 z^8 + (3 z^8)/
  a^2 + 2 a^2 z^8 + z^9/a + a z^9, 
 2 a^6 - 2 a^10 - a^12 + a^3/z + (2 a^5)/z + (3 a^7)/z + (3 a^9)/z + 
  a^11/z - 5 a^3 z - 11 a^5 z - 15 a^7 z - 12 a^9 z - 3 a^11 z - 
  3 a^4 z^2 - 9 a^6 z^2 - 3 a^8 z^2 + 6 a^10 z^2 + 3 a^12 z^2 + 
  8 a^3 z^3 + 23 a^5 z^3 + 27 a^7 z^3 + 15 a^9 z^3 + 3 a^11 z^3 + 
  11 a^4 z^4 + 20 a^6 z^4 + 4 a^8 z^4 - 5 a^10 z^4 - 5 a^3 z^5 - 
  14 a^5 z^5 - 21 a^7 z^5 - 11 a^9 z^5 + a^11 z^5 - 9 a^4 z^6 - 
  19 a^6 z^6 - 7 a^8 z^6 + 3 a^10 z^6 + a^3 z^7 + 3 a^7 z^7 + 
  4 a^9 z^7 + 2 a^4 z^8 + 5 a^6 z^8 + 3 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 2 a^2 - 2 a^6 - a^8 + 1/(a z) + (2 a)/z + (3 a^3)/z + (3 a^5)/z + 
  a^7/z - (2 z)/a - 9 a z - 16 a^3 z - 12 a^5 z - 3 a^7 z - 3 z^2 - 
  11 a^2 z^2 - 8 a^4 z^2 + 3 a^6 z^2 + 3 a^8 z^2 + z^3/a + 10 a z^3 + 
  21 a^3 z^3 + 19 a^5 z^3 + 7 a^7 z^3 + 2 z^4 + 19 a^2 z^4 + 
  24 a^4 z^4 + 3 a^6 z^4 - 4 a^8 z^4 - 4 a z^5 - 6 a^3 z^5 - 
  10 a^5 z^5 - 8 a^7 z^5 - 10 a^2 z^6 - 18 a^4 z^6 - 7 a^6 z^6 + 
  a^8 z^6 + a z^7 - 2 a^3 z^7 - a^5 z^7 + 2 a^7 z^7 + 2 a^2 z^8 + 
  4 a^4 z^8 + 2 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 2 a^2 - 2 a^6 - a^8 + 1/(a z) + (2 a)/z + (3 a^3)/z + (3 a^5)/z + 
  a^7/z - (4 z)/a - 11 a z - 12 a^3 z - 6 a^5 z - a^7 z - 5 z^2 - 
  12 a^2 z^2 - 8 a^4 z^2 + a^8 z^2 + (7 z^3)/a + 20 a z^3 + 
  18 a^3 z^3 + 6 a^5 z^3 + a^7 z^3 + 13 z^4 + 27 a^2 z^4 + 
  15 a^4 z^4 + a^6 z^4 - (5 z^5)/a - 9 a z^5 - 8 a^3 z^5 - 
  4 a^5 z^5 - 10 z^6 - 20 a^2 z^6 - 10 a^4 z^6 + z^7/a - 2 a z^7 - 
  2 a^3 z^7 + a^5 z^7 + 2 z^8 + 4 a^2 z^8 + 2 a^4 z^8 + a z^9 + 
  a^3 z^9, -3 a^8 + 3 a^12 - a^16 + (2 a^7)/z + (2 a^9)/z - a^11/z - 
  a^13/z - 7 a^7 z - 5 a^9 z + 2 a^11 z - a^13 z - a^15 z + 
  4 a^8 z^2 - 6 a^10 z^2 - 8 a^12 z^2 + 3 a^14 z^2 + a^16 z^2 + 
  11 a^7 z^3 + 2 a^9 z^3 - 3 a^11 z^3 + 8 a^13 z^3 + 2 a^15 z^3 + 
  2 a^8 z^4 + 15 a^10 z^4 + 11 a^12 z^4 - 2 a^14 z^4 - 6 a^7 z^5 + 
  3 a^9 z^5 + 2 a^11 z^5 - 7 a^13 z^5 - 4 a^8 z^6 - 13 a^10 z^6 - 
  8 a^12 z^6 + a^14 z^6 + a^7 z^7 - 4 a^9 z^7 - 3 a^11 z^7 + 
  2 a^13 z^7 + a^8 z^8 + 3 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + 
  a^11 z^9, -3 a^4 + 3 a^8 - a^12 + (2 a^3)/z + (2 a^5)/z - a^7/z - 
  a^9/z - 7 a^3 z - 8 a^5 z - a^11 z + 4 a^4 z^2 - 3 a^6 z^2 - 
  12 a^8 z^2 - a^10 z^2 + 4 a^12 z^2 + 3 a^3 z^3 + 13 a^5 z^3 + 
  8 a^7 z^3 + 3 a^9 z^3 + 5 a^11 z^3 - 2 a^4 z^4 + 11 a^6 z^4 + 
  20 a^8 z^4 + 3 a^10 z^4 - 4 a^12 z^4 - 7 a^5 z^5 - 4 a^7 z^5 - 
  4 a^9 z^5 - 7 a^11 z^5 + a^4 z^6 - 7 a^6 z^6 - 15 a^8 z^6 - 
  6 a^10 z^6 + a^12 z^6 + 2 a^5 z^7 - a^7 z^7 - a^9 z^7 + 
  2 a^11 z^7 + 2 a^6 z^8 + 4 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + 
  a^9 z^9, -3 a^4 + 3 a^8 - a^12 + (2 a^3)/z + (2 a^5)/z - a^7/z - 
  a^9/z - 3 a^3 z + 4 a^7 z - a^11 z + 2 a^4 z^2 - 8 a^6 z^2 - 
  13 a^8 z^2 + 3 a^12 z^2 + a^3 z^3 - 2 a^5 z^3 - 5 a^7 z^3 + 
  4 a^9 z^3 + 6 a^11 z^3 + 13 a^6 z^4 + 23 a^8 z^4 + 6 a^10 z^4 - 
  4 a^12 z^4 + a^5 z^5 + 8 a^7 z^5 - a^9 z^5 - 8 a^11 z^5 - 
  6 a^6 z^6 - 15 a^8 z^6 - 8 a^10 z^6 + a^12 z^6 - 5 a^7 z^7 - 
  3 a^9 z^7 + 2 a^11 z^7 + a^6 z^8 + 3 a^8 z^8 + 2 a^10 z^8 + 
  a^7 z^9 + a^9 z^9, 
 a^6 + 4 a^10 + 7 a^12 + 3 a^14 - a^5/z - a^7/z - a^9/z - (2 a^11)/z -
   a^13/z + 3 a^5 z + 3 a^7 z + 6 a^9 z + 8 a^11 z + 2 a^13 z - 
  17 a^10 z^2 - 21 a^12 z^2 - 4 a^14 z^2 - 4 a^5 z^3 - 11 a^9 z^3 - 
  18 a^11 z^3 - 3 a^13 z^3 - 3 a^6 z^4 + 4 a^8 z^4 + 25 a^10 z^4 + 
  19 a^12 z^4 + a^14 z^4 + a^5 z^5 - 3 a^7 z^5 + 13 a^9 z^5 + 
  18 a^11 z^5 + a^13 z^5 + a^6 z^6 - 4 a^8 z^6 - 12 a^10 z^6 - 
  7 a^12 z^6 + a^7 z^7 - 6 a^9 z^7 - 7 a^11 z^7 + a^8 z^8 + 
  2 a^10 z^8 + a^12 z^8 + a^9 z^9 + a^11 z^9, 
 a^2 + 4 a^6 + 7 a^8 + 3 a^10 - a/z - a^3/z - a^5/z - (2 a^7)/z - a^9/
  z + 3 a z + 3 a^3 z + 3 a^5 z + 6 a^7 z + 3 a^9 z - 13 a^6 z^2 - 
  26 a^8 z^2 - 13 a^10 z^2 - 4 a^3 z^3 - a^5 z^3 - 4 a^7 z^3 - 
  7 a^9 z^3 + a^2 z^4 - 4 a^4 z^4 + 14 a^6 z^4 + 35 a^8 z^4 + 
  16 a^10 z^4 + 2 a^3 z^5 - 5 a^5 z^5 + 4 a^7 z^5 + 11 a^9 z^5 + 
  2 a^4 z^6 - 9 a^6 z^6 - 18 a^8 z^6 - 7 a^10 z^6 + 2 a^5 z^7 - 
  4 a^7 z^7 - 6 a^9 z^7 + 2 a^6 z^8 + 3 a^8 z^8 + a^10 z^8 + a^7 z^9 +
   a^9 z^9, 
 a^2 + 4 a^6 + 7 a^8 + 3 a^10 - a/z - a^3/z - a^5/z - (2 a^7)/z - a^9/
  z + a z + a^3 z + 5 a^5 z + 8 a^7 z + 3 a^9 z - 15 a^6 z^2 - 
  26 a^8 z^2 - 11 a^10 z^2 - 5 a^5 z^3 - 16 a^7 z^3 - 11 a^9 z^3 + 
  16 a^6 z^4 + 31 a^8 z^4 + 15 a^10 z^4 + a^5 z^5 + 16 a^7 z^5 + 
  15 a^9 z^5 - 7 a^6 z^6 - 14 a^8 z^6 - 7 a^10 z^6 - 7 a^7 z^7 - 
  7 a^9 z^7 + a^6 z^8 + 2 a^8 z^8 + a^10 z^8 + a^7 z^9 + 
  a^9 z^9, -3 a^8 + 3 a^12 - a^16 + (2 a^7)/z + (2 a^9)/z - a^11/z - 
  a^13/z - 8 a^7 z - 6 a^9 z + 3 a^11 z - a^15 z + 5 a^8 z^2 - 
  6 a^10 z^2 - 13 a^12 z^2 - a^14 z^2 + a^16 z^2 + 11 a^7 z^3 + 
  6 a^9 z^3 - 2 a^11 z^3 + 4 a^13 z^3 + a^15 z^3 + a^8 z^4 + 
  19 a^10 z^4 + 19 a^12 z^4 + a^14 z^4 - 6 a^7 z^5 + a^9 z^5 + 
  3 a^11 z^5 - 4 a^13 z^5 - 4 a^8 z^6 - 15 a^10 z^6 - 11 a^12 z^6 + 
  a^7 z^7 - 4 a^9 z^7 - 4 a^11 z^7 + a^13 z^7 + a^8 z^8 + 
  3 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + a^11 z^9, -3 a^4 + 3 a^8 - 
  a^12 + (2 a^3)/z + (2 a^5)/z - a^7/z - a^9/z - 5 a^3 z - 4 a^5 z + 
  2 a^7 z - a^11 z + 3 a^4 z^2 - 5 a^6 z^2 - 11 a^8 z^2 + a^10 z^2 + 
  4 a^12 z^2 + 3 a^3 z^3 + 6 a^5 z^3 + 3 a^9 z^3 + 6 a^11 z^3 + 
  8 a^6 z^4 + 13 a^8 z^4 + a^10 z^4 - 4 a^12 z^4 - 3 a^5 z^5 - 
  a^7 z^5 - 5 a^9 z^5 - 7 a^11 z^5 + a^4 z^6 - 4 a^6 z^6 - 
  11 a^8 z^6 - 5 a^10 z^6 + a^12 z^6 + 2 a^5 z^7 + 2 a^11 z^7 + 
  2 a^6 z^8 + 4 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + a^9 z^9, -3 a^4 + 
  3 a^8 - a^12 + (2 a^3)/z + (2 a^5)/z - a^7/z - a^9/z - 5 a^3 z - 
  6 a^5 z - 2 a^7 z - 2 a^9 z - a^11 z + 3 a^4 z^2 - a^6 z^2 - 
  2 a^8 z^2 + 5 a^10 z^2 + 3 a^12 z^2 + 3 a^3 z^3 + 8 a^5 z^3 + 
  11 a^7 z^3 + 12 a^9 z^3 + 6 a^11 z^3 + 3 a^6 z^4 + 3 a^8 z^4 - 
  3 a^10 z^4 - 3 a^12 z^4 - 3 a^5 z^5 - 11 a^7 z^5 - 17 a^9 z^5 - 
  9 a^11 z^5 + a^4 z^6 - 2 a^6 z^6 - 10 a^8 z^6 - 6 a^10 z^6 + 
  a^12 z^6 + 2 a^5 z^7 + 3 a^7 z^7 + 4 a^9 z^7 + 3 a^11 z^7 + 
  2 a^6 z^8 + 5 a^8 z^8 + 3 a^10 z^8 + a^7 z^9 + a^9 z^9, -a^8 + 
  5 a^10 + 6 a^12 - a^14 - 2 a^16 + a^7/z - a^9/z - (4 a^11)/z - (
  2 a^13)/z - 5 a^7 z + 4 a^9 z + 15 a^11 z + 7 a^13 z + a^15 z + 
  a^8 z^2 - 17 a^10 z^2 - 18 a^12 z^2 + a^14 z^2 + a^16 z^2 + 
  10 a^7 z^3 - 9 a^9 z^3 - 24 a^11 z^3 - 5 a^13 z^3 + 5 a^8 z^4 + 
  22 a^10 z^4 + 17 a^12 z^4 - 6 a^7 z^5 + 11 a^9 z^5 + 18 a^11 z^5 + 
  a^13 z^5 - 5 a^8 z^6 - 12 a^10 z^6 - 7 a^12 z^6 + a^7 z^7 - 
  6 a^9 z^7 - 7 a^11 z^7 + a^8 z^8 + 2 a^10 z^8 + a^12 z^8 + a^9 z^9 +
   a^11 z^9, -a^4 + 5 a^6 + 6 a^8 - a^10 - 2 a^12 + a^3/z - a^5/z - (
  4 a^7)/z - (2 a^9)/z - 5 a^3 z + a^5 z + 13 a^7 z + 8 a^9 z + 
  a^11 z + a^4 z^2 - 15 a^6 z^2 - 21 a^8 z^2 + 2 a^10 z^2 + 
  7 a^12 z^2 + 3 a^3 z^3 + 5 a^5 z^3 - 16 a^7 z^3 - 17 a^9 z^3 + 
  a^11 z^3 + 17 a^6 z^4 + 21 a^8 z^4 - a^10 z^4 - 5 a^12 z^4 - 
  4 a^5 z^5 + 10 a^7 z^5 + 11 a^9 z^5 - 3 a^11 z^5 + a^4 z^6 - 
  7 a^6 z^6 - 11 a^8 z^6 - 2 a^10 z^6 + a^12 z^6 + 2 a^5 z^7 - 
  3 a^7 z^7 - 4 a^9 z^7 + a^11 z^7 + 2 a^6 z^8 + 3 a^8 z^8 + 
  a^10 z^8 + a^7 z^9 + a^9 z^9, -a^4 + 5 a^6 + 6 a^8 - a^10 - 2 a^12 +
   a^3/z - a^5/z - (4 a^7)/z - (2 a^9)/z - 3 a^3 z + 3 a^5 z + 
  11 a^7 z + 6 a^9 z + a^11 z + a^4 z^2 - 11 a^6 z^2 - 11 a^8 z^2 + 
  6 a^10 z^2 + 5 a^12 z^2 + 3 a^3 z^3 - 2 a^5 z^3 - 15 a^7 z^3 - 
  6 a^9 z^3 + 4 a^11 z^3 + 2 a^4 z^4 + 6 a^6 z^4 + 4 a^8 z^4 - 
  4 a^10 z^4 - 4 a^12 z^4 + a^5 z^5 + 4 a^7 z^5 - 3 a^9 z^5 - 
  6 a^11 z^5 + a^4 z^6 - a^6 z^6 - 6 a^8 z^6 - 3 a^10 z^6 + 
  a^12 z^6 + 2 a^5 z^7 + a^7 z^7 + a^9 z^7 + 2 a^11 z^7 + 2 a^6 z^8 + 
  4 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + a^9 z^9, 
 1 + 3 a^2 + 2 a^4 + a^6 + 1/(a z) + (3 a)/z + (4 a^3)/z + (2 a^5)/
  z - (5 z)/a - 16 a z - 23 a^3 z - 15 a^5 z - 3 a^7 z - 5 z^2 - 
  9 a^2 z^2 - 4 a^4 z^2 + a^6 z^2 + a^8 z^2 + (8 z^3)/a + 28 a z^3 + 
  37 a^3 z^3 + 20 a^5 z^3 + 3 a^7 z^3 + 11 z^4 + 23 a^2 z^4 + 
  11 a^4 z^4 - a^6 z^4 - (5 z^5)/a - 16 a z^5 - 23 a^3 z^5 - 
  12 a^5 z^5 - 9 z^6 - 21 a^2 z^6 - 11 a^4 z^6 + a^6 z^6 + z^7/a + 
  2 a^3 z^7 + 3 a^5 z^7 + 2 z^8 + 5 a^2 z^8 + 3 a^4 z^8 + a z^9 + 
  a^3 z^9, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 3/(a^3 z) + 4/(a z) + (2 a)/
  z - (2 z)/a^5 - (14 z)/a^3 - (24 z)/a - 15 a z - 3 a^3 z - 
  15 z^2 - (3 z^2)/a^4 - (15 z^2)/a^2 - 2 a^2 z^2 + a^4 z^2 + z^3/
  a^5 + (17 z^3)/a^3 + (40 z^3)/a + 34 a z^3 + 10 a^3 z^3 + 28 z^4 + (
  3 z^4)/a^4 + (23 z^4)/a^2 + 5 a^2 z^4 - 3 a^4 z^4 - (7 z^5)/a^3 - (
  22 z^5)/a - 26 a z^5 - 11 a^3 z^5 - 22 z^6 - (12 z^6)/a^2 - 
  9 a^2 z^6 + a^4 z^6 + (2 z^7)/a^3 + (3 z^7)/a + 4 a z^7 + 
  3 a^3 z^7 + 6 z^8 + (3 z^8)/a^2 + 3 a^2 z^8 + z^9/a + a z^9, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 3/(a^3 z) + 4/(a z) + (2 a)/
  z - (4 z)/a^5 - (14 z)/a^3 - (18 z)/a - 11 a z - 3 a^3 z - 
  13 z^2 - (9 z^2)/a^4 - (20 z^2)/a^2 - a^2 z^2 + a^4 z^2 + (9 z^3)/
  a^5 + (21 z^3)/a^3 + (27 z^3)/a + 23 a z^3 + 8 a^3 z^3 + 28 z^4 + (
  13 z^4)/a^4 + (31 z^4)/a^2 + 7 a^2 z^4 - 3 a^4 z^4 - (6 z^5)/a^5 - (
  10 z^5)/a^3 - (8 z^5)/a - 15 a z^5 - 11 a^3 z^5 - 20 z^6 - (7 z^6)/
  a^4 - (15 z^6)/a^2 - 11 a^2 z^6 + a^4 z^6 + z^7/a^5 + z^7/a^3 - (
  3 z^7)/a + 3 a^3 z^7 + 4 z^8 + z^8/a^4 + (2 z^8)/a^2 + 3 a^2 z^8 + 
  z^9/a + a z^9, 
 2 + 1/a^2 + 3 a^2 + a^4 - 1/(a^3 z) - 1/(a z) + a/z + (2 a^3)/z + 
  a^5/z + z/a^3 - z/a - 10 a z - 11 a^3 z - 3 a^5 z - 14 z^2 - (
  4 z^2)/a^2 - 13 a^2 z^2 - 3 a^4 z^2 + (8 z^3)/a^3 + (19 z^3)/a + 
  22 a z^3 + 14 a^3 z^3 + 3 a^5 z^3 + 27 z^4 - (2 z^4)/a^4 + (10 z^4)/
  a^2 + 19 a^2 z^4 + 4 a^4 z^4 - (12 z^5)/a^3 - (24 z^5)/a - 
  19 a z^5 - 7 a^3 z^5 - 28 z^6 + z^6/a^4 - (14 z^6)/a^2 - 
  12 a^2 z^6 + a^4 z^6 + (4 z^7)/a^3 + (4 z^7)/a + 4 a z^7 + 
  4 a^3 z^7 + 10 z^8 + (5 z^8)/a^2 + 5 a^2 z^8 + (2 z^9)/a + 
  2 a z^9, -2 a^8 + 4 a^10 + 9 a^12 + 4 a^14 + (2 a^7)/z + (2 a^9)/z -
   a^11/z - a^13/z + a^5 z - 7 a^7 z - 10 a^9 z - 3 a^11 z - a^13 z + 
  a^6 z^2 + 4 a^8 z^2 - 14 a^10 z^2 - 21 a^12 z^2 - 4 a^14 z^2 - 
  3 a^5 z^3 + 11 a^7 z^3 + 11 a^9 z^3 - 4 a^11 z^3 - a^13 z^3 - 
  5 a^6 z^4 + 2 a^8 z^4 + 24 a^10 z^4 + 18 a^12 z^4 + a^14 z^4 + 
  a^5 z^5 - 10 a^7 z^5 - a^9 z^5 + 11 a^11 z^5 + a^13 z^5 + 
  2 a^6 z^6 - 5 a^8 z^6 - 13 a^10 z^6 - 6 a^12 z^6 + 3 a^7 z^7 - 
  2 a^9 z^7 - 5 a^11 z^7 + 2 a^8 z^8 + 3 a^10 z^8 + a^12 z^8 + 
  a^9 z^9 + a^11 z^9, -2 a^4 + 4 a^6 + 9 a^8 + 4 a^10 + (2 a^3)/z + (
  2 a^5)/z - a^7/z - a^9/z + a z - 7 a^3 z - 13 a^5 z - 5 a^7 z + 
  a^2 z^2 + 5 a^4 z^2 - 11 a^6 z^2 - 31 a^8 z^2 - 16 a^10 z^2 + 
  3 a^3 z^3 + 25 a^5 z^3 + 22 a^7 z^3 - 7 a^4 z^4 + 18 a^6 z^4 + 
  42 a^8 z^4 + 17 a^10 z^4 - 19 a^5 z^5 - 13 a^7 z^5 + 6 a^9 z^5 + 
  2 a^4 z^6 - 14 a^6 z^6 - 23 a^8 z^6 - 7 a^10 z^6 + 4 a^5 z^7 - 
  a^7 z^7 - 5 a^9 z^7 + 3 a^6 z^8 + 4 a^8 z^8 + a^10 z^8 + a^7 z^9 + 
  a^9 z^9, -2 a^4 + 4 a^6 + 9 a^8 + 4 a^10 + (2 a^3)/z + (2 a^5)/z - 
  a^7/z - a^9/z + a z - 3 a^3 z - 5 a^5 z - a^7 z + a^2 z^2 + 
  2 a^4 z^2 - 18 a^6 z^2 - 32 a^8 z^2 - 13 a^10 z^2 - 2 a z^3 + 
  2 a^3 z^3 + 12 a^5 z^3 + a^7 z^3 - 7 a^9 z^3 - 7 a^2 z^4 - 
  4 a^4 z^4 + 28 a^6 z^4 + 40 a^8 z^4 + 15 a^10 z^4 + a z^5 - 
  7 a^3 z^5 - 10 a^5 z^5 + 11 a^7 z^5 + 13 a^9 z^5 + 3 a^2 z^6 - 
  13 a^6 z^6 - 17 a^8 z^6 - 7 a^10 z^6 + 3 a^3 z^7 + 3 a^5 z^7 - 
  7 a^7 z^7 - 7 a^9 z^7 + a^4 z^8 + 2 a^6 z^8 + 2 a^8 z^8 + a^10 z^8 +
   a^7 z^9 + a^9 z^9, -2 a^8 + 4 a^10 + 9 a^12 + 4 a^14 + (2 a^7)/
  z + (2 a^9)/z - a^11/z - a^13/z + a^5 z - 8 a^7 z - 11 a^9 z - 
  2 a^11 z + a^6 z^2 + 5 a^8 z^2 - 14 a^10 z^2 - 26 a^12 z^2 - 
  8 a^14 z^2 - 3 a^5 z^3 + 12 a^7 z^3 + 19 a^9 z^3 + 3 a^11 z^3 - 
  a^13 z^3 - 5 a^6 z^4 + 25 a^10 z^4 + 23 a^12 z^4 + 3 a^14 z^4 + 
  a^5 z^5 - 10 a^7 z^5 - 8 a^9 z^5 + 2 a^11 z^5 - a^13 z^5 + 
  2 a^6 z^6 - 4 a^8 z^6 - 15 a^10 z^6 - 9 a^12 z^6 + 3 a^7 z^7 - 
  2 a^11 z^7 + a^13 z^7 + 2 a^8 z^8 + 4 a^10 z^8 + 2 a^12 z^8 + 
  a^9 z^9 + a^11 z^9, -2 a^4 + 4 a^6 + 9 a^8 + 4 a^10 + (2 a^3)/z + (
  2 a^5)/z - a^7/z - a^9/z + a z - 5 a^3 z - 9 a^5 z - 3 a^7 z + 
  a^2 z^2 + 4 a^4 z^2 - 13 a^6 z^2 - 30 a^8 z^2 - 14 a^10 z^2 + 
  2 a^3 z^3 + 14 a^5 z^3 + 8 a^7 z^3 - 4 a^9 z^3 - 4 a^4 z^4 + 
  18 a^6 z^4 + 38 a^8 z^4 + 16 a^10 z^4 - 10 a^5 z^5 + 10 a^9 z^5 + 
  a^4 z^6 - 11 a^6 z^6 - 19 a^8 z^6 - 7 a^10 z^6 + 2 a^5 z^7 - 
  4 a^7 z^7 - 6 a^9 z^7 + 2 a^6 z^8 + 3 a^8 z^8 + a^10 z^8 + a^7 z^9 +
   a^9 z^9, -2 a^4 + 4 a^6 + 9 a^8 + 4 a^10 + (2 a^3)/z + (2 a^5)/z - 
  a^7/z - a^9/z + a z - 5 a^3 z - 11 a^5 z - 7 a^7 z - 2 a^9 z + 
  a^2 z^2 + 3 a^4 z^2 - 11 a^6 z^2 - 21 a^8 z^2 - 8 a^10 z^2 - 
  2 a z^3 + 4 a^3 z^3 + 22 a^5 z^3 + 17 a^7 z^3 + a^9 z^3 - 
  6 a^2 z^4 - a^4 z^4 + 20 a^6 z^4 + 18 a^8 z^4 + 3 a^10 z^4 + 
  a z^5 - 8 a^3 z^5 - 16 a^5 z^5 - 8 a^7 z^5 - a^9 z^5 + 3 a^2 z^6 - 
  4 a^4 z^6 - 14 a^6 z^6 - 7 a^8 z^6 + 4 a^3 z^7 + 4 a^5 z^7 + 
  a^7 z^7 + a^9 z^7 + 3 a^4 z^8 + 5 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + 
  a^7 z^9, 1 + 3 a^2 + 2 a^4 + a^6 + 1/(a z) + (3 a)/z + (4 a^3)/z + (
  2 a^5)/z - (5 z)/a - 17 a z - 24 a^3 z - 14 a^5 z - 2 a^7 z - 
  6 z^2 - 13 a^2 z^2 - 7 a^4 z^2 + a^6 z^2 + a^8 z^2 + (8 z^3)/a + 
  31 a z^3 + 44 a^3 z^3 + 25 a^5 z^3 + 4 a^7 z^3 + 12 z^4 + 
  27 a^2 z^4 + 13 a^4 z^4 - 2 a^6 z^4 - (5 z^5)/a - 19 a z^5 - 
  32 a^3 z^5 - 18 a^5 z^5 - 9 z^6 - 24 a^2 z^6 - 13 a^4 z^6 + 
  2 a^6 z^6 + z^7/a + a z^7 + 5 a^3 z^7 + 5 a^5 z^7 + 2 z^8 + 
  6 a^2 z^8 + 4 a^4 z^8 + a z^9 + a^3 z^9, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 3/(a^3 z) + 4/(a z) + (2 a)/
  z - (4 z)/a^5 - (16 z)/a^3 - (24 z)/a - 17 a z - 5 a^3 z - 
  12 z^2 - (7 z^2)/a^4 - (17 z^2)/a^2 + 2 a^4 z^2 + (7 z^3)/a^5 + (
  24 z^3)/a^3 + (40 z^3)/a + 34 a z^3 + 11 a^3 z^3 + 28 z^4 + (
  13 z^4)/a^4 + (34 z^4)/a^2 + 3 a^2 z^4 - 4 a^4 z^4 - (5 z^5)/a^5 - (
  11 z^5)/a^3 - (17 z^5)/a - 21 a z^5 - 10 a^3 z^5 - 19 z^6 - (
  10 z^6)/a^4 - (23 z^6)/a^2 - 5 a^2 z^6 + a^4 z^6 + z^7/a^5 - (
  2 z^7)/a^3 - (2 z^7)/a + 3 a z^7 + 2 a^3 z^7 + 3 z^8 + (2 z^8)/
  a^4 + (4 z^8)/a^2 + a^2 z^8 + z^9/a^3 + z^9/a, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 2/(a^3 z) + 1/(a z) - a/z - 
  a^3/z - (5 z)/a^5 - (15 z)/a^3 - (14 z)/a - 5 a z - a^3 z - 
  3 z^2 - (3 z^2)/a^4 - (6 z^2)/a^2 + a^2 z^2 + a^4 z^2 + (6 z^3)/
  a^5 + (24 z^3)/a^3 + (36 z^3)/a + 27 a z^3 + 9 a^3 z^3 + 9 z^4 + (
  3 z^4)/a^4 + (8 z^4)/a^2 + 2 a^2 z^4 - 2 a^4 z^4 - (16 z^5)/a^3 - (
  40 z^5)/a - 35 a z^5 - 11 a^3 z^5 - 24 z^6 + (3 z^6)/a^4 - (10 z^6)/
  a^2 - 10 a^2 z^6 + a^4 z^6 + (8 z^7)/a^3 + (13 z^7)/a + 9 a z^7 + 
  4 a^3 z^7 + 12 z^8 + (7 z^8)/a^2 + 5 a^2 z^8 + (2 z^9)/a + 
  2 a z^9, -2 - 3 a^2 - 3 a^4 - a^6 + 2/(a z) + (4 a)/z + (3 a^3)/z + 
  a^5/z - (5 z)/a - 15 a z - 15 a^3 z - 6 a^5 z - a^7 z + a^2 z^2 + 
  a^8 z^2 + (3 z^3)/a + 21 a z^3 + 33 a^3 z^3 + 22 a^5 z^3 + 
  7 a^7 z^3 + 2 z^4 + 13 a^2 z^4 + 17 a^4 z^4 + 4 a^6 z^4 - 
  2 a^8 z^4 - 10 a z^5 - 26 a^3 z^5 - 27 a^5 z^5 - 11 a^7 z^5 + z^6 - 
  12 a^2 z^6 - 26 a^4 z^6 - 12 a^6 z^6 + a^8 z^6 + 4 a z^7 + 
  5 a^3 z^7 + 5 a^5 z^7 + 4 a^7 z^7 + 5 a^2 z^8 + 10 a^4 z^8 + 
  5 a^6 z^8 + 2 a^3 z^9 + 2 a^5 z^9, -(1/a^4) - 2/a^2 + 2 a^2 + 1/(
  a^3 z) + 3/(a z) + (3 a)/z + (2 a^3)/z + a^5/z - (4 z)/a^3 - (14 z)/
  a - 15 a z - 9 a^3 z - 4 a^5 z - 5 z^2 + (4 z^2)/a^4 + (6 z^2)/
  a^2 - 9 a^2 z^2 - 2 a^4 z^2 + (7 z^3)/a^3 + (21 z^3)/a + 24 a z^3 + 
  13 a^3 z^3 + 3 a^5 z^3 + 13 z^4 - (4 z^4)/a^4 - (3 z^4)/a^2 + 
  14 a^2 z^4 + 2 a^4 z^4 - (7 z^5)/a^3 - (15 z^5)/a - 15 a z^5 - 
  7 a^3 z^5 - 14 z^6 + z^6/a^4 - (4 z^6)/a^2 - 8 a^2 z^6 + a^4 z^6 + (
  2 z^7)/a^3 + (2 z^7)/a + 3 a z^7 + 3 a^3 z^7 + 5 z^8 + (2 z^8)/
  a^2 + 3 a^2 z^8 + z^9/a + a z^9, -(1/a^8) - 2/a^6 + 2/a^2 + 1/(
  a^7 z) + 3/(a^5 z) + 3/(a^3 z) + 2/(a z) + a/z - (3 z)/a^7 - (14 z)/
  a^5 - (20 z)/a^3 - (11 z)/a - 2 a z - 2 z^2 + (3 z^2)/a^8 + (7 z^2)/
  a^6 - z^2/a^4 - (7 z^2)/a^2 + (7 z^3)/a^7 + (28 z^3)/a^5 + (36 z^3)/
  a^3 + (16 z^3)/a + a z^3 + 3 z^4 - (3 z^4)/a^8 - (6 z^4)/a^6 + (
  9 z^4)/a^4 + (15 z^4)/a^2 - (9 z^5)/a^7 - (27 z^5)/a^5 - (24 z^5)/
  a^3 - (6 z^5)/a + z^6/a^8 - (5 z^6)/a^6 - (15 z^6)/a^4 - (9 z^6)/
  a^2 + (3 z^7)/a^7 + (6 z^7)/a^5 + (5 z^7)/a^3 + (2 z^7)/a + (3 z^8)/
  a^6 + (6 z^8)/a^4 + (3 z^8)/a^2 + z^9/a^5 + z^9/a^3, 
 2 a^6 - 2 a^10 - a^12 + a^3/z + (2 a^5)/z + (3 a^7)/z + (3 a^9)/z + 
  a^11/z - 5 a^3 z - 12 a^5 z - 16 a^7 z - 11 a^9 z - 2 a^11 z - 
  4 a^4 z^2 - 11 a^6 z^2 - 4 a^8 z^2 + 4 a^10 z^2 + a^12 z^2 + 
  8 a^3 z^3 + 24 a^5 z^3 + 32 a^7 z^3 + 18 a^9 z^3 + 2 a^11 z^3 + 
  11 a^4 z^4 + 24 a^6 z^4 + 11 a^8 z^4 - 2 a^10 z^4 - 5 a^3 z^5 - 
  15 a^5 z^5 - 22 a^7 z^5 - 12 a^9 z^5 - 9 a^4 z^6 - 21 a^6 z^6 - 
  11 a^8 z^6 + a^10 z^6 + a^3 z^7 + 2 a^7 z^7 + 3 a^9 z^7 + 
  2 a^4 z^8 + 5 a^6 z^8 + 3 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 2 a^2 - 2 a^6 - a^8 + 1/(a z) + (2 a)/z + (3 a^3)/z + (3 a^5)/z + 
  a^7/z - (4 z)/a - 13 a z - 18 a^3 z - 12 a^5 z - 3 a^7 z - 5 z^2 - 
  13 a^2 z^2 - 7 a^4 z^2 + 5 a^6 z^2 + 4 a^8 z^2 + (6 z^3)/a + 
  21 a z^3 + 27 a^3 z^3 + 19 a^5 z^3 + 7 a^7 z^3 + 14 z^4 + 
  32 a^2 z^4 + 17 a^4 z^4 - 5 a^6 z^4 - 4 a^8 z^4 - (5 z^5)/a - 
  5 a z^5 - 7 a^3 z^5 - 15 a^5 z^5 - 8 a^7 z^5 - 11 z^6 - 
  20 a^2 z^6 - 12 a^4 z^6 - 2 a^6 z^6 + a^8 z^6 + z^7/a - 4 a z^7 - 
  4 a^3 z^7 + 3 a^5 z^7 + 2 a^7 z^7 + 2 z^8 + 3 a^2 z^8 + 2 a^4 z^8 + 
  a^6 z^8 + a z^9 + a^3 z^9, -3 a^8 + 3 a^12 - a^16 + (2 a^7)/z + (
  2 a^9)/z - a^11/z - a^13/z - 9 a^7 z - 7 a^9 z + 4 a^11 z + a^13 z -
   a^15 z + 7 a^8 z^2 - a^10 z^2 - 9 a^12 z^2 + 2 a^14 z^2 + 
  3 a^16 z^2 + 12 a^7 z^3 + 10 a^9 z^3 - a^11 z^3 + 4 a^13 z^3 + 
  3 a^15 z^3 - a^8 z^4 + 9 a^10 z^4 + 7 a^12 z^4 - 3 a^14 z^4 - 
  6 a^7 z^5 - 4 a^9 z^5 - 7 a^11 z^5 - 8 a^13 z^5 + a^15 z^5 - 
  3 a^8 z^6 - 13 a^10 z^6 - 7 a^12 z^6 + 3 a^14 z^6 + a^7 z^7 - 
  2 a^9 z^7 + a^11 z^7 + 4 a^13 z^7 + a^8 z^8 + 4 a^10 z^8 + 
  3 a^12 z^8 + a^9 z^9 + a^11 z^9, -3 a^4 + 3 a^8 - a^12 + (2 a^3)/
  z + (2 a^5)/z - a^7/z - a^9/z - 7 a^3 z - 12 a^5 z - 8 a^7 z - 
  4 a^9 z - a^11 z + 2 a^4 z^2 - 2 a^6 z^2 - 3 a^8 z^2 + 2 a^10 z^2 + 
  a^12 z^2 + 9 a^3 z^3 + 26 a^5 z^3 + 27 a^7 z^3 + 12 a^9 z^3 + 
  2 a^11 z^3 + 7 a^4 z^4 + 14 a^6 z^4 + 6 a^8 z^4 - a^10 z^4 - 
  5 a^3 z^5 - 18 a^5 z^5 - 23 a^7 z^5 - 10 a^9 z^5 - 8 a^4 z^6 - 
  18 a^6 z^6 - 9 a^8 z^6 + a^10 z^6 + a^3 z^7 + a^5 z^7 + 3 a^7 z^7 + 
  3 a^9 z^7 + 2 a^4 z^8 + 5 a^6 z^8 + 3 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 a^6 + 4 a^10 + 7 a^12 + 3 a^14 - a^5/z - a^7/z - a^9/z - (2 a^11)/z -
   a^13/z + 4 a^5 z + 3 a^7 z + 4 a^9 z + 8 a^11 z + 3 a^13 z - 
  a^6 z^2 - a^8 z^2 - 16 a^10 z^2 - 24 a^12 z^2 - 8 a^14 z^2 - 
  4 a^5 z^3 - 3 a^7 z^3 - 7 a^9 z^3 - 11 a^11 z^3 - 3 a^13 z^3 - 
  2 a^6 z^4 + 2 a^8 z^4 + 25 a^10 z^4 + 24 a^12 z^4 + 3 a^14 z^4 + 
  a^5 z^5 - a^7 z^5 + 9 a^9 z^5 + 10 a^11 z^5 - a^13 z^5 + a^6 z^6 - 
  2 a^8 z^6 - 13 a^10 z^6 - 10 a^12 z^6 + a^7 z^7 - 4 a^9 z^7 - 
  4 a^11 z^7 + a^13 z^7 + a^8 z^8 + 3 a^10 z^8 + 2 a^12 z^8 + 
  a^9 z^9 + a^11 z^9, 
 a^2 + 4 a^6 + 7 a^8 + 3 a^10 - a/z - a^3/z - a^5/z - (2 a^7)/z - a^9/
  z + 3 a z + 5 a^3 z + 5 a^5 z + 4 a^7 z + a^9 z + a^2 z^2 - 
  13 a^6 z^2 - 18 a^8 z^2 - 6 a^10 z^2 - 3 a z^3 - 7 a^3 z^3 - 
  6 a^5 z^3 - 5 a^7 z^3 - 3 a^9 z^3 - 4 a^2 z^4 - a^4 z^4 + 
  14 a^6 z^4 + 14 a^8 z^4 + 3 a^10 z^4 + a z^5 + a^5 z^5 + 3 a^7 z^5 +
   a^9 z^5 + 2 a^2 z^6 - a^4 z^6 - 8 a^6 z^6 - 5 a^8 z^6 + 2 a^3 z^7 +
   a^5 z^7 + a^9 z^7 + 2 a^4 z^8 + 4 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + 
  a^7 z^9, 7 a^10 + 7 a^12 + a^18 - (4 a^9)/z - (7 a^11)/z - (3 a^13)/
  z + 19 a^9 z + 28 a^11 z + 9 a^13 z - 21 a^10 z^2 - 21 a^12 z^2 - 
  36 a^9 z^3 - 42 a^11 z^3 - 6 a^13 z^3 + 21 a^10 z^4 + 21 a^12 z^4 + 
  28 a^9 z^5 + 29 a^11 z^5 + a^13 z^5 - 8 a^10 z^6 - 8 a^12 z^6 - 
  9 a^9 z^7 - 9 a^11 z^7 + a^10 z^8 + a^12 z^8 + a^9 z^9 + a^11 z^9, 
 7 a^6 + 7 a^8 + a^14 - (4 a^5)/z - (7 a^7)/z - (3 a^9)/z + 
  16 a^5 z + 26 a^7 z + 10 a^9 z - 19 a^6 z^2 - 23 a^8 z^2 + 
  a^12 z^2 - 3 a^14 z^2 - 14 a^5 z^3 - 36 a^7 z^3 - 16 a^9 z^3 + 
  4 a^11 z^3 - 2 a^13 z^3 + 15 a^6 z^4 + 24 a^8 z^4 + 6 a^10 z^4 - 
  2 a^12 z^4 + a^14 z^4 + 3 a^5 z^5 + 22 a^7 z^5 + 15 a^9 z^5 - 
  3 a^11 z^5 + a^13 z^5 - 6 a^6 z^6 - 11 a^8 z^6 - 4 a^10 z^6 + 
  a^12 z^6 - 7 a^7 z^7 - 6 a^9 z^7 + a^11 z^7 + a^6 z^8 + 2 a^8 z^8 + 
  a^10 z^8 + a^7 z^9 + a^9 z^9, 
 7 a^6 + 7 a^8 + a^14 - (4 a^5)/z - (7 a^7)/z - (3 a^9)/z + 
  12 a^5 z + 18 a^7 z + 6 a^9 z - 15 a^6 z^2 - 16 a^8 z^2 - 
  a^10 z^2 - 2 a^12 z^2 - 2 a^14 z^2 - 12 a^5 z^3 - 19 a^7 z^3 - 
  3 a^9 z^3 + a^11 z^3 - 3 a^13 z^3 + 9 a^6 z^4 + 18 a^8 z^4 + 
  7 a^10 z^4 - a^12 z^4 + a^14 z^4 + 3 a^5 z^5 + 10 a^7 z^5 + 
  3 a^9 z^5 - 2 a^11 z^5 + 2 a^13 z^5 - 4 a^6 z^6 - 11 a^8 z^6 - 
  5 a^10 z^6 + 2 a^12 z^6 - 4 a^7 z^7 - 2 a^9 z^7 + 2 a^11 z^7 + 
  a^6 z^8 + 3 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + a^9 z^9, -a^8 + 
  5 a^10 + 6 a^12 - a^14 - 2 a^16 + a^7/z - a^9/z - (4 a^11)/z - (
  2 a^13)/z - 6 a^7 z + 3 a^9 z + 16 a^11 z + 8 a^13 z + a^15 z + 
  2 a^8 z^2 - 15 a^10 z^2 - 17 a^12 z^2 + 3 a^14 z^2 + 3 a^16 z^2 + 
  11 a^7 z^3 - 4 a^9 z^3 - 22 a^11 z^3 - 6 a^13 z^3 + a^15 z^3 + 
  3 a^8 z^4 + 17 a^10 z^4 + 12 a^12 z^4 - 2 a^14 z^4 - 6 a^7 z^5 + 
  5 a^9 z^5 + 9 a^11 z^5 - a^13 z^5 + a^15 z^5 - 4 a^8 z^6 - 
  12 a^10 z^6 - 6 a^12 z^6 + 2 a^14 z^6 + a^7 z^7 - 4 a^9 z^7 - 
  3 a^11 z^7 + 2 a^13 z^7 + a^8 z^8 + 3 a^10 z^8 + 2 a^12 z^8 + 
  a^9 z^9 + a^11 z^9, -a^4 + 5 a^6 + 6 a^8 - a^10 - 2 a^12 + a^3/z - 
  a^5/z - (4 a^7)/z - (2 a^9)/z - 3 a^3 z + 5 a^5 z + 15 a^7 z + 
  8 a^9 z + a^11 z + a^4 z^2 - 15 a^6 z^2 - 20 a^8 z^2 + 2 a^10 z^2 + 
  6 a^12 z^2 + a^3 z^3 - 4 a^5 z^3 - 22 a^7 z^3 - 15 a^9 z^3 + 
  2 a^11 z^3 + 17 a^6 z^4 + 24 a^8 z^4 + 2 a^10 z^4 - 5 a^12 z^4 + 
  a^5 z^5 + 18 a^7 z^5 + 13 a^9 z^5 - 4 a^11 z^5 - 7 a^6 z^6 - 
  12 a^8 z^6 - 4 a^10 z^6 + a^12 z^6 - 7 a^7 z^7 - 6 a^9 z^7 + 
  a^11 z^7 + a^6 z^8 + 2 a^8 z^8 + a^10 z^8 + a^7 z^9 + 
  a^9 z^9, -a^4 + 5 a^6 + 6 a^8 - a^10 - 2 a^12 + a^3/z - a^5/z - (
  4 a^7)/z - (2 a^9)/z - 5 a^3 z - 3 a^5 z + 5 a^7 z + 4 a^9 z + 
  a^11 z - 12 a^6 z^2 - 12 a^8 z^2 + 3 a^10 z^2 + 3 a^12 z^2 + 
  8 a^3 z^3 + 14 a^5 z^3 + a^7 z^3 - 4 a^9 z^3 + a^11 z^3 + 
  10 a^4 z^4 + 17 a^6 z^4 + 5 a^8 z^4 - 2 a^10 z^4 - 5 a^3 z^5 - 
  9 a^5 z^5 - 6 a^7 z^5 - a^9 z^5 + a^11 z^5 - 9 a^4 z^6 - 
  15 a^6 z^6 - 4 a^8 z^6 + 2 a^10 z^6 + a^3 z^7 - a^5 z^7 + 
  2 a^9 z^7 + 2 a^4 z^8 + 4 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + 
  a^7 z^9, -1 + 1/(a z) + a/z - (2 z)/a^7 - (4 z)/a^5 - (4 z)/a^3 - (
  4 z)/a - 2 a z - z^2 + (2 z^2)/a^8 - z^2/a^6 - (5 z^2)/a^4 - (
  3 z^2)/a^2 + (8 z^3)/a^7 + (15 z^3)/a^5 + (13 z^3)/a^3 + (7 z^3)/a +
   a z^3 + 2 z^4 - (3 z^4)/a^8 + (3 z^4)/a^6 + (14 z^4)/a^4 + (
  10 z^4)/a^2 - (10 z^5)/a^7 - (17 z^5)/a^5 - (9 z^5)/a^3 - (2 z^5)/
  a + z^6/a^8 - (8 z^6)/a^6 - (15 z^6)/a^4 - (6 z^6)/a^2 + (3 z^7)/
  a^7 + (3 z^7)/a^5 + z^7/a^3 + z^7/a + (3 z^8)/a^6 + (5 z^8)/a^4 + (
  2 z^8)/a^2 + z^9/a^5 + z^9/a^3, -2 - 1/a^6 - 3/a^4 - 3/a^2 + 1/(
  a^5 z) + 3/(a^3 z) + 4/(a z) + (2 a)/z - z/a^7 - (6 z)/a^5 - (17 z)/
  a^3 - (19 z)/a - 7 a z + z^2/a^8 + z^2/a^6 + (4 z^2)/a^4 + (4 z^2)/
  a^2 + (4 z^3)/a^7 + (16 z^3)/a^5 + (37 z^3)/a^3 + (34 z^3)/a + 
  9 a z^3 + 8 z^4 - z^4/a^6 + (3 z^4)/a^4 + (12 z^4)/a^2 - (15 z^5)/
  a^5 - (32 z^5)/a^3 - (22 z^5)/a - 5 a z^5 - 8 z^6 + (2 z^6)/a^6 - (
  10 z^6)/a^4 - (20 z^6)/a^2 + (5 z^7)/a^5 + (6 z^7)/a^3 + (2 z^7)/a +
   a z^7 + 2 z^8 + (4 z^8)/a^4 + (6 z^8)/a^2 + z^9/a^3 + z^9/a, 
 2 + 1/a^2 + 3 a^2 + a^4 - 1/(a^3 z) - 1/(a z) + a/z + (2 a^3)/z + 
  a^5/z + z/a^3 - z/a - 12 a z - 15 a^3 z - 5 a^5 z - 8 z^2 - z^2/
  a^2 - 12 a^2 z^2 - 5 a^4 z^2 + (9 z^3)/a + 28 a z^3 + 27 a^3 z^3 + 
  8 a^5 z^3 + 16 z^4 + z^4/a^2 + 26 a^2 z^4 + 11 a^4 z^4 - (8 z^5)/
  a - 19 a z^5 - 16 a^3 z^5 - 5 a^5 z^5 - 13 z^6 - 22 a^2 z^6 - 
  9 a^4 z^6 + (2 z^7)/a + a z^7 + a^5 z^7 + 3 z^8 + 5 a^2 z^8 + 
  2 a^4 z^8 + a z^9 + a^3 z^9, -1 + 1/(a z) + a/z - (2 z)/a^3 - (6 z)/
  a - 6 a z - 2 a^3 z - 5 z^2 + z^2/a^4 - z^2/a^2 - 3 a^2 z^2 + (
  8 z^3)/a^3 + (16 z^3)/a + 10 a z^3 + 2 a^3 z^3 + 20 z^4 - (3 z^4)/
  a^4 + (8 z^4)/a^2 + 9 a^2 z^4 - (11 z^5)/a^3 - (12 z^5)/a - a z^5 - 
  17 z^6 + z^6/a^4 - (11 z^6)/a^2 - 5 a^2 z^6 + (3 z^7)/a^3 - 
  3 a z^7 + 4 z^8 + (3 z^8)/a^2 + a^2 z^8 + z^9/a + a z^9, -3 - 1/
  a^8 + 3/a^4 - 1/(a^5 z) - 1/(a^3 z) + 2/(a z) + (2 a)/z - (2 z)/
  a^7 - z/a^5 + (4 z)/a^3 - (5 z)/a - 8 a z + 5 z^2 + (5 z^2)/a^8 + (
  2 z^2)/a^6 - (17 z^2)/a^4 - (9 z^2)/a^2 + (8 z^3)/a^7 + (9 z^3)/
  a^5 - (5 z^3)/a^3 + (5 z^3)/a + 11 a z^3 + z^4 - (5 z^4)/a^8 - (
  2 z^4)/a^6 + (24 z^4)/a^4 + (22 z^4)/a^2 - (6 z^5)/a^7 - (7 z^5)/
  a^5 + (6 z^5)/a^3 + z^5/a - 6 a z^5 - 4 z^6 + z^6/a^8 - (13 z^6)/
  a^4 - (16 z^6)/a^2 + z^7/a^7 + z^7/a^5 - (5 z^7)/a^3 - (4 z^7)/a + 
  a z^7 + z^8 + (2 z^8)/a^4 + (3 z^8)/a^2 + z^9/a^3 + z^9/a, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z + a z - a^3 z + 
  3 a^5 z + 8 a^7 z + 3 a^9 z + 3 a^2 z^2 + 4 a^4 z^2 - 3 a^6 z^2 - 
  8 a^8 z^2 - 4 a^10 z^2 - 2 a z^3 + 2 a^3 z^3 + 3 a^5 z^3 - 
  7 a^7 z^3 - 6 a^9 z^3 - 6 a^2 z^4 - 7 a^4 z^4 + 4 a^8 z^4 + 
  3 a^10 z^4 + a z^5 - 6 a^3 z^5 - 11 a^5 z^5 - a^7 z^5 + 3 a^9 z^5 + 
  3 a^2 z^6 - 4 a^6 z^6 - a^8 z^6 + 4 a^3 z^7 + 6 a^5 z^7 + 
  3 a^7 z^7 + a^9 z^7 + 3 a^4 z^8 + 5 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + 
  a^7 z^9, 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z - z/a^3 +
   z/a + 9 a z + 6 a^3 z - a^5 z - 9 z^2 + (2 z^2)/a^4 - z^2/a^2 - 
  7 a^2 z^2 - a^4 z^2 + (7 z^3)/a^3 + (5 z^3)/a - 9 a z^3 - 
  6 a^3 z^3 + a^5 z^3 + 13 z^4 - (3 z^4)/a^4 + (5 z^4)/a^2 + 
  7 a^2 z^4 + 2 a^4 z^4 - (10 z^5)/a^3 - (9 z^5)/a + 5 a z^5 + 
  4 a^3 z^5 - 12 z^6 + z^6/a^4 - (9 z^6)/a^2 - 2 a^2 z^6 + (3 z^7)/
  a^3 + z^7/a - 2 a z^7 + 4 z^8 + (3 z^8)/a^2 + a^2 z^8 + z^9/a + 
  a z^9, -(1/a^4) - 2/a^2 + 2 a^2 + 1/(a^3 z) + 3/(a z) + (3 a)/z + (
  2 a^3)/z + a^5/z - (4 z)/a^3 - (13 z)/a - 14 a z - 10 a^3 z - 
  5 a^5 z - 5 z^2 + (5 z^2)/a^4 + (7 z^2)/a^2 - 10 a^2 z^2 - 
  3 a^4 z^2 + (8 z^3)/a^3 + (18 z^3)/a + 22 a z^3 + 20 a^3 z^3 + 
  8 a^5 z^3 + 14 z^4 - (5 z^4)/a^4 - (4 z^4)/a^2 + 23 a^2 z^4 + 
  10 a^4 z^4 - (6 z^5)/a^3 - (9 z^5)/a - 10 a z^5 - 12 a^3 z^5 - 
  5 a^5 z^5 - 11 z^6 + z^6/a^4 - 19 a^2 z^6 - 9 a^4 z^6 + z^7/a^3 + 
  z^7/a - 2 a z^7 - a^3 z^7 + a^5 z^7 + 2 z^8 + 4 a^2 z^8 + 
  2 a^4 z^8 + a z^9 + a^3 z^9, -5 a^8 - 5 a^10 + a^14 + (3 a^7)/z + (
  5 a^9)/z + (2 a^11)/z + a^5 z - 11 a^7 z - 17 a^9 z - 4 a^11 z + 
  a^13 z + a^6 z^2 + 15 a^8 z^2 + 17 a^10 z^2 - a^12 z^2 - 
  4 a^14 z^2 - 2 a^5 z^3 + 14 a^7 z^3 + 26 a^9 z^3 + 6 a^11 z^3 - 
  4 a^13 z^3 - 4 a^6 z^4 - 16 a^8 z^4 - 16 a^10 z^4 - a^12 z^4 + 
  3 a^14 z^4 + a^5 z^5 - 13 a^7 z^5 - 27 a^9 z^5 - 10 a^11 z^5 + 
  3 a^13 z^5 + 3 a^6 z^6 + a^8 z^6 - a^10 z^6 + a^12 z^6 + 
  6 a^7 z^7 + 11 a^9 z^7 + 6 a^11 z^7 + a^13 z^7 + 4 a^8 z^8 + 
  6 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + a^11 z^9, -5 + 1/a^6 - 5/a^2 + 
  2/(a^3 z) + 5/(a z) + (3 a)/z - z/a^7 - z/a^5 - (3 z)/a^3 - (14 z)/
  a - 11 a z + 10 z^2 + (2 z^2)/a^8 - (3 z^2)/a^6 - (10 z^2)/a^4 + (
  5 z^2)/a^2 + (7 z^3)/a^7 + (8 z^3)/a^5 + (3 z^3)/a^3 + (16 z^3)/a + 
  14 a z^3 - 4 z^4 - (3 z^4)/a^8 + (5 z^4)/a^6 + (19 z^4)/a^4 + (
  7 z^4)/a^2 - (10 z^5)/a^7 - (11 z^5)/a^5 + (2 z^5)/a^3 - (4 z^5)/
  a - 7 a z^5 + z^6/a^8 - (9 z^6)/a^6 - (15 z^6)/a^4 - (5 z^6)/a^2 + (
  3 z^7)/a^7 + z^7/a^5 - (3 z^7)/a^3 + a z^7 + (3 z^8)/a^6 + (4 z^8)/
  a^4 + z^8/a^2 + z^9/a^5 + z^9/a^3, -1 - 4 a^2 - 7 a^4 - 4 a^6 - 
  a^8 + a/z + (4 a^3)/z + (4 a^5)/z + a^7/z - z/a - 4 a z - 
  14 a^3 z - 15 a^5 z - 4 a^7 z - 2 z^2 + 4 a^2 z^2 + 14 a^4 z^2 + 
  11 a^6 z^2 + 3 a^8 z^2 + z^3/a + 8 a z^3 + 28 a^3 z^3 + 
  29 a^5 z^3 + 8 a^7 z^3 + 4 z^4 + 6 a^2 z^4 - 4 a^4 z^4 - 
  9 a^6 z^4 - 3 a^8 z^4 - 3 a z^5 - 23 a^3 z^5 - 29 a^5 z^5 - 
  9 a^7 z^5 - 6 a^2 z^6 - 11 a^4 z^6 - 4 a^6 z^6 + a^8 z^6 + 
  2 a z^7 + 6 a^3 z^7 + 7 a^5 z^7 + 3 a^7 z^7 + 3 a^2 z^8 + 
  6 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, -3 - 1/a^2 - 3 a^2 - 
  2 a^4 + 1/(a z) + (3 a)/z + (4 a^3)/z + (2 a^5)/z + z/a^3 - (3 z)/
  a - 13 a z - 16 a^3 z - 7 a^5 z + z^2 + z^2/a^2 + a^2 z^2 + 
  a^4 z^2 + (8 z^3)/a + 28 a z^3 + 29 a^3 z^3 + 9 a^5 z^3 + 9 z^4 + 
  z^4/a^2 + 15 a^2 z^4 + 7 a^4 z^4 - (7 z^5)/a - 21 a z^5 - 
  19 a^3 z^5 - 5 a^5 z^5 - 11 z^6 - 19 a^2 z^6 - 8 a^4 z^6 + (2 z^7)/
  a + 2 a z^7 + a^3 z^7 + a^5 z^7 + 3 z^8 + 5 a^2 z^8 + 2 a^4 z^8 + 
  a z^9 + a^3 z^9, -3 a^8 + 3 a^12 - a^16 + (2 a^7)/z + (2 a^9)/z - 
  a^11/z - a^13/z - 10 a^7 z - 8 a^9 z + 5 a^11 z + 2 a^13 z - 
  a^15 z + 7 a^8 z^2 - 3 a^10 z^2 - 14 a^12 z^2 + 4 a^16 z^2 + 
  14 a^7 z^3 + 11 a^9 z^3 - 9 a^11 z^3 - a^13 z^3 + 5 a^15 z^3 - 
  3 a^8 z^4 + 11 a^10 z^4 + 20 a^12 z^4 + 2 a^14 z^4 - 4 a^16 z^4 - 
  7 a^7 z^5 - 3 a^9 z^5 + 10 a^11 z^5 - a^13 z^5 - 7 a^15 z^5 - 
  6 a^10 z^6 - 13 a^12 z^6 - 6 a^14 z^6 + a^16 z^6 + a^7 z^7 - 
  5 a^11 z^7 - 2 a^13 z^7 + 2 a^15 z^7 + a^10 z^8 + 3 a^12 z^8 + 
  2 a^14 z^8 + a^11 z^9 + a^13 z^9, -3 - 2/a^4 - 5/a^2 + a^2 + 1/(
  a^3 z) + 2/(a z) - a^3/z - (4 z)/a^3 - (8 z)/a + 2 a z + 6 a^3 z + 
  8 z^2 - z^2/a^6 + (6 z^2)/a^4 + (16 z^2)/a^2 - a^2 z^2 - (2 z^3)/
  a^5 + (9 z^3)/a^3 + (15 z^3)/a - 4 a z^3 - 8 a^3 z^3 - 7 z^4 + z^4/
  a^6 - (8 z^4)/a^4 - (14 z^4)/a^2 - 2 a^2 z^4 + (3 z^5)/a^5 - (
  11 z^5)/a^3 - (19 z^5)/a - 2 a z^5 + 3 a^3 z^5 - 5 z^6 + (6 z^6)/
  a^4 + z^6/a^2 + (7 z^7)/a^3 + (8 z^7)/a + a z^7 + 5 z^8 + (4 z^8)/
  a^2 + a^2 z^8 + z^9/a + a z^9, 
 a^6 - 3 a^8 - 5 a^10 - 2 a^12 - a^5/z + (2 a^9)/z + a^11/z - 
  3 a^3 z + a^5 z + 3 a^7 z - 3 a^9 z - 2 a^11 z - 5 a^4 z^2 - 
  10 a^6 z^2 + a^8 z^2 + 12 a^10 z^2 + 6 a^12 z^2 + 7 a^3 z^3 + 
  6 a^5 z^3 - 3 a^7 z^3 + 3 a^9 z^3 + 5 a^11 z^3 + 13 a^4 z^4 + 
  22 a^6 z^4 + 6 a^8 z^4 - 8 a^10 z^4 - 5 a^12 z^4 - 5 a^3 z^5 - 
  3 a^5 z^5 + 5 a^7 z^5 - 2 a^9 z^5 - 5 a^11 z^5 - 10 a^4 z^6 - 
  16 a^6 z^6 - 6 a^8 z^6 + a^10 z^6 + a^12 z^6 + a^3 z^7 - 
  3 a^5 z^7 - 5 a^7 z^7 + a^11 z^7 + 2 a^4 z^8 + 3 a^6 z^8 + a^8 z^8 +
   a^5 z^9 + a^7 z^9, 
 a^6 + 4 a^10 + 7 a^12 + 3 a^14 - a^5/z - a^7/z - a^9/z - (2 a^11)/z -
   a^13/z + 4 a^5 z + 2 a^7 z + 3 a^9 z + 9 a^11 z + 4 a^13 z - 
  a^6 z^2 - 16 a^10 z^2 - 29 a^12 z^2 - 12 a^14 z^2 - 4 a^5 z^3 - 
  a^7 z^3 - 4 a^9 z^3 - 17 a^11 z^3 - 10 a^13 z^3 - 2 a^6 z^4 - 
  4 a^8 z^4 + 20 a^10 z^4 + 37 a^12 z^4 + 15 a^14 z^4 + a^5 z^5 - 
  2 a^7 z^5 + 2 a^9 z^5 + 19 a^11 z^5 + 14 a^13 z^5 + a^6 z^6 + 
  2 a^8 z^6 - 8 a^10 z^6 - 16 a^12 z^6 - 7 a^14 z^6 + a^7 z^7 - 
  8 a^11 z^7 - 7 a^13 z^7 + a^10 z^8 + 2 a^12 z^8 + a^14 z^8 + 
  a^11 z^9 + a^13 z^9, 
 a^2 + 2 a^4 + 3 a^6 + a^8 + (2 a^3)/z + (4 a^5)/z + (3 a^7)/z + a^9/
  z - 2 a z - 15 a^3 z - 25 a^5 z - 16 a^7 z - 4 a^9 z + z^2 - 
  9 a^4 z^2 - 12 a^6 z^2 - 4 a^8 z^2 + 8 a z^3 + 35 a^3 z^3 + 
  49 a^5 z^3 + 25 a^7 z^3 + 3 a^9 z^3 - 2 z^4 + 2 a^2 z^4 + 
  23 a^4 z^4 + 23 a^6 z^4 + 4 a^8 z^4 - 11 a z^5 - 35 a^3 z^5 - 
  37 a^5 z^5 - 13 a^7 z^5 + z^6 - 11 a^2 z^6 - 29 a^4 z^6 - 
  16 a^6 z^6 + a^8 z^6 + 4 a z^7 + 7 a^3 z^7 + 8 a^5 z^7 + 
  5 a^7 z^7 + 5 a^2 z^8 + 11 a^4 z^8 + 6 a^6 z^8 + 2 a^3 z^9 + 
  2 a^5 z^9, -2 a^8 + 4 a^10 + 9 a^12 + 4 a^14 + (2 a^7)/z + (2 a^9)/
  z - a^11/z - a^13/z + a^5 z - 9 a^7 z - 12 a^9 z - a^11 z + a^13 z +
   a^6 z^2 + 7 a^8 z^2 - 11 a^10 z^2 - 28 a^12 z^2 - 11 a^14 z^2 - 
  2 a^5 z^3 + 12 a^7 z^3 + 24 a^9 z^3 + 11 a^11 z^3 + a^13 z^3 - 
  4 a^6 z^4 - 8 a^8 z^4 + 17 a^10 z^4 + 27 a^12 z^4 + 6 a^14 z^4 + 
  a^5 z^5 - 12 a^7 z^5 - 24 a^9 z^5 - 14 a^11 z^5 - 3 a^13 z^5 + 
  3 a^6 z^6 - 3 a^8 z^6 - 19 a^10 z^6 - 13 a^12 z^6 + 6 a^7 z^7 + 
  8 a^9 z^7 + 5 a^11 z^7 + 3 a^13 z^7 + 5 a^8 z^8 + 10 a^10 z^8 + 
  5 a^12 z^8 + 2 a^9 z^9 + 2 a^11 z^9, -a^8 + 5 a^10 + 6 a^12 - 
  a^14 - 2 a^16 + a^7/z - a^9/z - (4 a^11)/z - (2 a^13)/z - 8 a^7 z + 
  a^9 z + 18 a^11 z + 10 a^13 z + a^15 z + 2 a^8 z^2 - 18 a^10 z^2 - 
  24 a^12 z^2 + 2 a^14 z^2 + 6 a^16 z^2 + 14 a^7 z^3 + 2 a^9 z^3 - 
  30 a^11 z^3 - 16 a^13 z^3 + 2 a^15 z^3 - a^8 z^4 + 20 a^10 z^4 + 
  28 a^12 z^4 + 2 a^14 z^4 - 5 a^16 z^4 - 7 a^7 z^5 - a^9 z^5 + 
  23 a^11 z^5 + 13 a^13 z^5 - 4 a^15 z^5 - 8 a^10 z^6 - 13 a^12 z^6 - 
  4 a^14 z^6 + a^16 z^6 + a^7 z^7 - 8 a^11 z^7 - 6 a^13 z^7 + 
  a^15 z^7 + a^10 z^8 + 2 a^12 z^8 + a^14 z^8 + a^11 z^9 + a^13 z^9, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z - (2 z)/a^3 - z/
  a + 9 a z + 8 a^3 z - 9 z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 - 
  6 a^2 z^2 - (4 z^3)/a^5 + (5 z^3)/a^3 + (9 z^3)/a - 10 a z^3 - 
  10 a^3 z^3 + 13 z^4 + z^4/a^6 - (5 z^4)/a^4 + (5 z^4)/a^2 + 
  2 a^2 z^4 + (3 z^5)/a^5 - (6 z^5)/a^3 - (8 z^5)/a + 4 a z^5 + 
  3 a^3 z^5 - 11 z^6 + (4 z^6)/a^4 - (5 z^6)/a^2 - 2 a^2 z^6 + (
  4 z^7)/a^3 + (2 z^7)/a - 2 a z^7 + 4 z^8 + (3 z^8)/a^2 + a^2 z^8 + 
  z^9/a + a z^9, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z - 3 a^3 z + 
  3 a^5 z + 10 a^7 z + 4 a^9 z - 3 a^4 z^2 - 9 a^6 z^2 - 10 a^8 z^2 - 
  3 a^10 z^2 + a^12 z^2 + 7 a^3 z^3 + 3 a^5 z^3 - 14 a^7 z^3 - 
  8 a^9 z^3 + 2 a^11 z^3 + 13 a^4 z^4 + 16 a^6 z^4 + 6 a^8 z^4 + 
  3 a^10 z^4 - 5 a^3 z^5 - a^5 z^5 + 8 a^7 z^5 + 4 a^9 z^5 - 
  10 a^4 z^6 - 13 a^6 z^6 - 3 a^8 z^6 + a^3 z^7 - 3 a^5 z^7 - 
  4 a^7 z^7 + 2 a^4 z^8 + 3 a^6 z^8 + a^8 z^8 + a^5 z^9 + 
  a^7 z^9, -2 a^8 + 4 a^10 + 9 a^12 + 4 a^14 + (2 a^7)/z + (2 a^9)/z -
   a^11/z - a^13/z + 2 a^5 z - 8 a^7 z - 13 a^9 z - 2 a^11 z + 
  a^13 z + 2 a^6 z^2 + 8 a^8 z^2 - 13 a^10 z^2 - 33 a^12 z^2 - 
  14 a^14 z^2 - 4 a^5 z^3 + 10 a^7 z^3 + 24 a^9 z^3 + 5 a^11 z^3 - 
  5 a^13 z^3 - 4 a^6 z^4 - 7 a^8 z^4 + 22 a^10 z^4 + 41 a^12 z^4 + 
  16 a^14 z^4 + a^5 z^5 - 6 a^7 z^5 - 14 a^9 z^5 + 3 a^11 z^5 + 
  10 a^13 z^5 + a^6 z^6 + a^8 z^6 - 13 a^10 z^6 - 20 a^12 z^6 - 
  7 a^14 z^6 + a^7 z^7 + 2 a^9 z^7 - 5 a^11 z^7 - 6 a^13 z^7 + 
  2 a^10 z^8 + 3 a^12 z^8 + a^14 z^8 + a^11 z^9 + a^13 z^9, -a^4 + 
  a^3/z + a^5/z - z/a^3 - z/a + 2 a z - a^3 z - 3 a^5 z - 2 z^2 + (
  2 z^2)/a^4 + z^2/a^2 + a^4 z^2 + (9 z^3)/a^3 + (9 z^3)/a - 
  3 a z^3 + 3 a^5 z^3 + z^4 - (3 z^4)/a^4 + (2 z^4)/a^2 - 2 a^2 z^4 + 
  2 a^4 z^4 - (10 z^5)/a^3 - (15 z^5)/a - 4 a z^5 + a^3 z^5 - 8 z^6 + 
  z^6/a^4 - (7 z^6)/a^2 + a^2 z^6 + a^4 z^6 + (3 z^7)/a^3 + (4 z^7)/
  a + 3 a z^7 + 2 a^3 z^7 + 5 z^8 + (3 z^8)/a^2 + 2 a^2 z^8 + z^9/a + 
  a z^9, -a^4 + a^3/z + a^5/z + a z - 3 a^3 z - 4 a^5 z + a^7 z + 
  a^9 z + a^2 z^2 - 2 a^6 z^2 - 3 a^8 z^2 - 2 a^10 z^2 - 2 a z^3 + 
  3 a^3 z^3 + 8 a^5 z^3 - 2 a^7 z^3 - 5 a^9 z^3 - 6 a^2 z^4 + 
  2 a^4 z^4 + 12 a^6 z^4 + 5 a^8 z^4 + a^10 z^4 + a z^5 - 8 a^3 z^5 - 
  7 a^5 z^5 + 5 a^7 z^5 + 3 a^9 z^5 + 3 a^2 z^6 - 5 a^4 z^6 - 
  10 a^6 z^6 - 2 a^8 z^6 + 4 a^3 z^7 + 2 a^5 z^7 - 2 a^7 z^7 + 
  3 a^4 z^8 + 4 a^6 z^8 + a^8 z^8 + a^5 z^9 + a^7 z^9, 
 1/a^10 + 7/a^4 + 7/a^2 - 3/(a^5 z) - 7/(a^3 z) - 4/(a z) - (2 z)/
  a^7 + (7 z)/a^5 + (30 z)/a^3 + (21 z)/a - (3 z^2)/a^10 + z^2/a^8 + (
  3 z^2)/a^6 - (26 z^2)/a^4 - (25 z^2)/a^2 - (2 z^3)/a^9 + (7 z^3)/
  a^7 - (3 z^3)/a^5 - (49 z^3)/a^3 - (37 z^3)/a + z^4/a^10 - (2 z^4)/
  a^8 - (2 z^4)/a^6 + (26 z^4)/a^4 + (25 z^4)/a^2 + z^5/a^9 - (4 z^5)/
  a^7 + z^5/a^5 + (34 z^5)/a^3 + (28 z^5)/a + z^6/a^8 + z^6/a^6 - (
  9 z^6)/a^4 - (9 z^6)/a^2 + z^7/a^7 - (10 z^7)/a^3 - (9 z^7)/a + z^8/
  a^4 + z^8/a^2 + z^9/a^3 + z^9/a, -1 - 2/a^8 - 1/a^6 + 6/a^4 + 5/
  a^2 - 2/(a^5 z) - 4/(a^3 z) - 1/(a z) + a/z + (7 z)/a^5 + (17 z)/
  a^3 + (4 z)/a - 6 a z + 2 z^2 + (7 z^2)/a^8 + (6 z^2)/a^6 - (
  21 z^2)/a^4 - (18 z^2)/a^2 + (3 z^3)/a^7 - (9 z^3)/a^5 - (27 z^3)/
  a^3 - (5 z^3)/a + 10 a z^3 + 4 z^4 - (5 z^4)/a^8 - (8 z^4)/a^6 + (
  20 z^4)/a^4 + (27 z^4)/a^2 - (4 z^5)/a^7 + (2 z^5)/a^5 + (21 z^5)/
  a^3 + (9 z^5)/a - 6 a z^5 - 5 z^6 + z^6/a^8 + (2 z^6)/a^6 - (8 z^6)/
  a^4 - (14 z^6)/a^2 + z^7/a^7 - (8 z^7)/a^3 - (6 z^7)/a + a z^7 + 
  z^8 + z^8/a^4 + (2 z^8)/a^2 + z^9/a^3 + z^9/a, -(1/a^4) - 2/a^2 + 
  2 a^2 + 1/(a^3 z) + 3/(a z) + (3 a)/z + (2 a^3)/z + a^5/z - (3 z)/
  a^3 - (12 z)/a - 15 a z - 11 a^3 z - 5 a^5 z - 3 z^2 + (3 z^2)/
  a^4 + (6 z^2)/a^2 - 9 a^2 z^2 - 3 a^4 z^2 + (7 z^3)/a^3 + (25 z^3)/
  a + 33 a z^3 + 21 a^3 z^3 + 6 a^5 z^3 + 11 z^4 - (3 z^4)/a^4 - (
  2 z^4)/a^2 + 13 a^2 z^4 + 3 a^4 z^4 - (8 z^5)/a^3 - (27 z^5)/a - 
  35 a z^5 - 16 a^3 z^5 - 23 z^6 + z^6/a^4 - (7 z^6)/a^2 - 
  12 a^2 z^6 + 3 a^4 z^6 + (3 z^7)/a^3 + (6 z^7)/a + 11 a z^7 + 
  8 a^3 z^7 + 11 z^8 + (4 z^8)/a^2 + 7 a^2 z^8 + (2 z^9)/a + 2 a z^9, 
 1 + 3 a^2 + 2 a^4 + a^6 + 1/(a z) + (3 a)/z + (4 a^3)/z + (2 a^5)/
  z - (4 z)/a - 17 a z - 26 a^3 z - 14 a^5 z - a^7 z - 5 z^2 - 
  16 a^2 z^2 - 12 a^4 z^2 + a^8 z^2 + (6 z^3)/a + 33 a z^3 + 
  53 a^3 z^3 + 31 a^5 z^3 + 5 a^7 z^3 + 14 z^4 + 38 a^2 z^4 + 
  22 a^4 z^4 - 2 a^6 z^4 - (4 z^5)/a - 20 a z^5 - 42 a^3 z^5 - 
  26 a^5 z^5 - 12 z^6 - 37 a^2 z^6 - 22 a^4 z^6 + 3 a^6 z^6 + z^7/a - 
  a z^7 + 6 a^3 z^7 + 8 a^5 z^7 + 3 z^8 + 10 a^2 z^8 + 7 a^4 z^8 + 
  2 a z^9 + 2 a^3 z^9, -a^4 + 5 a^6 + 6 a^8 - a^10 - 2 a^12 + a^3/z - 
  a^5/z - (4 a^7)/z - (2 a^9)/z - 5 a^3 z - a^5 z + 9 a^7 z + 
  6 a^9 z + a^11 z + a^4 z^2 - 12 a^6 z^2 - 15 a^8 z^2 + 3 a^10 z^2 + 
  5 a^12 z^2 + 3 a^3 z^3 + 7 a^5 z^3 - 3 a^7 z^3 - 4 a^9 z^3 + 
  3 a^11 z^3 + 12 a^6 z^4 + 14 a^8 z^4 - 2 a^10 z^4 - 4 a^12 z^4 - 
  4 a^5 z^5 - a^7 z^5 - 3 a^9 z^5 - 6 a^11 z^5 + a^4 z^6 - 
  5 a^6 z^6 - 11 a^8 z^6 - 4 a^10 z^6 + a^12 z^6 + 2 a^5 z^7 + 
  2 a^11 z^7 + 2 a^6 z^8 + 4 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + 
  a^9 z^9, -(1/a^4) - 2/a^2 + 2 a^2 + 1/(a^3 z) + 3/(a z) + (3 a)/
  z + (2 a^3)/z + a^5/z - (3 z)/a^3 - (13 z)/a - 16 a z - 10 a^3 z - 
  4 a^5 z + (3 z^2)/a^4 + (8 z^2)/a^2 - 7 a^2 z^2 - 2 a^4 z^2 + (
  7 z^3)/a^3 + (27 z^3)/a + 32 a z^3 + 15 a^3 z^3 + 3 a^5 z^3 + 
  5 z^4 - (3 z^4)/a^4 - (6 z^4)/a^2 + 10 a^2 z^4 + 2 a^4 z^4 - (
  9 z^5)/a^3 - (26 z^5)/a - 24 a z^5 - 7 a^3 z^5 - 13 z^6 + z^6/
  a^4 - (5 z^6)/a^2 - 6 a^2 z^6 + a^4 z^6 + (3 z^7)/a^3 + (6 z^7)/a + 
  6 a z^7 + 3 a^3 z^7 + 6 z^8 + (3 z^8)/a^2 + 3 a^2 z^8 + z^9/a + 
  a z^9, 7 a^6 + 7 a^8 + a^14 - (4 a^5)/z - (7 a^7)/z - (3 a^9)/z + 
  14 a^5 z + 22 a^7 z + 8 a^9 z - 17 a^6 z^2 - 19 a^8 z^2 + a^10 z^2 +
   a^12 z^2 - 2 a^14 z^2 - 12 a^5 z^3 - 27 a^7 z^3 - 11 a^9 z^3 + 
  2 a^11 z^3 - 2 a^13 z^3 + 11 a^6 z^4 + 15 a^8 z^4 - 3 a^12 z^4 + 
  a^14 z^4 + 3 a^5 z^5 + 14 a^7 z^5 + 6 a^9 z^5 - 3 a^11 z^5 + 
  2 a^13 z^5 - 4 a^6 z^6 - 8 a^8 z^6 - a^10 z^6 + 3 a^12 z^6 - 
  4 a^7 z^7 - a^9 z^7 + 3 a^11 z^7 + a^6 z^8 + 3 a^8 z^8 + 
  2 a^10 z^8 + a^7 z^9 + a^9 z^9, -3 a^4 + 3 a^8 - a^12 + (2 a^3)/
  z + (2 a^5)/z - a^7/z - a^9/z - 7 a^3 z - 10 a^5 z - 4 a^7 z - 
  2 a^9 z - a^11 z + 3 a^4 z^2 - 2 a^6 z^2 - 6 a^8 z^2 + 2 a^10 z^2 + 
  3 a^12 z^2 + 9 a^3 z^3 + 25 a^5 z^3 + 19 a^7 z^3 + 6 a^9 z^3 + 
  3 a^11 z^3 + 7 a^4 z^4 + 11 a^6 z^4 + a^8 z^4 - 3 a^10 z^4 - 
  5 a^3 z^5 - 17 a^5 z^5 - 21 a^7 z^5 - 8 a^9 z^5 + a^11 z^5 - 
  8 a^4 z^6 - 16 a^6 z^6 - 5 a^8 z^6 + 3 a^10 z^6 + a^3 z^7 + 
  a^5 z^7 + 4 a^7 z^7 + 4 a^9 z^7 + 2 a^4 z^8 + 5 a^6 z^8 + 
  3 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 a^6 + 4 a^10 + 7 a^12 + 3 a^14 - a^5/z - a^7/z - a^9/z - (2 a^11)/z -
   a^13/z + 3 a^5 z + 2 a^7 z + 5 a^9 z + 9 a^11 z + 3 a^13 z + 
  3 a^8 z^2 - 11 a^10 z^2 - 20 a^12 z^2 - 6 a^14 z^2 - 3 a^5 z^3 - 
  8 a^9 z^3 - 14 a^11 z^3 - 3 a^13 z^3 - 3 a^6 z^4 - 8 a^8 z^4 + 
  8 a^10 z^4 + 16 a^12 z^4 + 3 a^14 z^4 + a^5 z^5 - 4 a^7 z^5 + 
  a^9 z^5 + 7 a^11 z^5 + a^13 z^5 + 2 a^6 z^6 + 2 a^8 z^6 - 
  5 a^10 z^6 - 5 a^12 z^6 + 3 a^7 z^7 + 2 a^9 z^7 + a^13 z^7 + 
  2 a^8 z^8 + 4 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + a^11 z^9, 
 a^2 + 4 a^6 + 7 a^8 + 3 a^10 - a/z - a^3/z - a^5/z - (2 a^7)/z - a^9/
  z + 3 a z + 3 a^3 z + a^5 z + 2 a^7 z + a^9 z - 2 a^4 z^2 - 
  14 a^6 z^2 - 20 a^8 z^2 - 8 a^10 z^2 - 3 a z^3 - 6 a^3 z^3 + 
  3 a^5 z^3 + 5 a^7 z^3 - a^9 z^3 - 4 a^2 z^4 + 2 a^4 z^4 + 
  22 a^6 z^4 + 19 a^8 z^4 + 3 a^10 z^4 + a z^5 - a^3 z^5 - 2 a^5 z^5 -
   a^7 z^5 - a^9 z^5 + 2 a^2 z^6 - 3 a^4 z^6 - 13 a^6 z^6 - 
  8 a^8 z^6 + 2 a^3 z^7 - a^7 z^7 + a^9 z^7 + 2 a^4 z^8 + 4 a^6 z^8 + 
  2 a^8 z^8 + a^5 z^9 + a^7 z^9, -a^4 + a^3/z + a^5/z - z/a^3 - (2 z)/
  a + a z - 2 a^5 z - 8 z^2 + z^2/a^4 - (2 z^2)/a^2 - 5 a^2 z^2 + (
  8 z^3)/a^3 + (11 z^3)/a - 2 a^3 z^3 + a^5 z^3 + 20 z^4 - (3 z^4)/
  a^4 + (9 z^4)/a^2 + 9 a^2 z^4 + a^4 z^4 - (11 z^5)/a^3 - (10 z^5)/
  a + 3 a z^5 + 2 a^3 z^5 - 16 z^6 + z^6/a^4 - (11 z^6)/a^2 - 
  4 a^2 z^6 + (3 z^7)/a^3 - 3 a z^7 + 4 z^8 + (3 z^8)/a^2 + a^2 z^8 + 
  z^9/a + a z^9, 
 a^6 - 3 a^8 - 5 a^10 - 2 a^12 - a^5/z + (2 a^9)/z + a^11/z - 
  2 a^3 z + 2 a^5 z + 2 a^7 z - 4 a^9 z - 2 a^11 z - 3 a^4 z^2 - 
  6 a^6 z^2 + 4 a^8 z^2 + 12 a^10 z^2 + 5 a^12 z^2 + 3 a^3 z^3 + 
  a^5 z^3 + a^7 z^3 + 8 a^9 z^3 + 5 a^11 z^3 + 4 a^4 z^4 + 7 a^6 z^4 -
   a^8 z^4 - 8 a^10 z^4 - 4 a^12 z^4 - 2 a^5 z^5 - 8 a^7 z^5 - 
  12 a^9 z^5 - 6 a^11 z^5 + a^4 z^6 - 4 a^6 z^6 - 8 a^8 z^6 - 
  2 a^10 z^6 + a^12 z^6 + 3 a^5 z^7 + 4 a^7 z^7 + 3 a^9 z^7 + 
  2 a^11 z^7 + 3 a^6 z^8 + 5 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + 
  a^9 z^9, -5 + 1/a^6 - 5/a^2 + 2/(a^3 z) + 5/(a z) + (3 a)/z - z/
  a^7 - (2 z)/a^5 - (4 z)/a^3 - (13 z)/a - 10 a z + 9 z^2 + z^2/
  a^8 - (2 z^2)/a^6 - (8 z^2)/a^4 + (4 z^2)/a^2 + (3 z^3)/a^7 + (
  9 z^3)/a^5 + (9 z^3)/a^3 + (15 z^3)/a + 12 a z^3 - 2 z^4 + z^4/
  a^6 + (14 z^4)/a^4 + (11 z^4)/a^2 - (9 z^5)/a^5 - (9 z^5)/a^3 - (
  6 z^5)/a - 6 a z^5 - 3 z^6 + z^6/a^6 - (11 z^6)/a^4 - (15 z^6)/
  a^2 + (3 z^7)/a^5 - (2 z^7)/a + a z^7 + z^8 + (3 z^8)/a^4 + (4 z^8)/
  a^2 + z^9/a^3 + z^9/a, -a^4 + a^3/z + a^5/z - (2 z)/a - a z - 
  a^5 z - 7 z^2 - 10 a^2 z^2 - 4 a^4 z^2 - a^6 z^2 + (6 z^3)/a + 
  6 a z^3 - a^3 z^3 - a^5 z^3 + 16 z^4 + 25 a^2 z^4 + 9 a^4 z^4 - (
  5 z^5)/a + 5 a^3 z^5 - 11 z^6 - 17 a^2 z^6 - 6 a^4 z^6 + z^7/a - 
  4 a z^7 - 5 a^3 z^7 + 2 z^8 + 3 a^2 z^8 + a^4 z^8 + a z^9 + a^3 z^9,
  2 + 1/a^2 + 3 a^2 + a^4 + 2/(a z) + (4 a)/z + (3 a^3)/z + a^5/z - (
  3 z)/a^3 - (13 z)/a - 22 a z - 16 a^3 z - 4 a^5 z - 11 z^2 + z^2/
  a^4 - 17 a^2 z^2 - 7 a^4 z^2 + (8 z^3)/a^3 + (35 z^3)/a + 
  49 a z^3 + 28 a^3 z^3 + 6 a^5 z^3 + 28 z^4 - (2 z^4)/a^4 + (5 z^4)/
  a^2 + 27 a^2 z^4 + 6 a^4 z^4 - (10 z^5)/a^3 - (37 z^5)/a - 
  48 a z^5 - 21 a^3 z^5 - 39 z^6 + z^6/a^4 - (13 z^6)/a^2 - 
  22 a^2 z^6 + 3 a^4 z^6 + (4 z^7)/a^3 + (7 z^7)/a + 13 a z^7 + 
  10 a^3 z^7 + 16 z^8 + (6 z^8)/a^2 + 10 a^2 z^8 + (3 z^9)/a + 
  3 a z^9, a^2 + 2 a^4 + 3 a^6 + a^8 + (2 a^3)/z + (4 a^5)/z + (
  3 a^7)/z + a^9/z - 2 a z - 15 a^3 z - 25 a^5 z - 16 a^7 z - 
  4 a^9 z + z^2 - 2 a^2 z^2 - 15 a^4 z^2 - 18 a^6 z^2 - 6 a^8 z^2 + 
  10 a z^3 + 32 a^3 z^3 + 40 a^5 z^3 + 24 a^7 z^3 + 6 a^9 z^3 - 
  3 z^4 + 3 a^2 z^4 + 28 a^4 z^4 + 36 a^6 z^4 + 14 a^8 z^4 - 
  12 a z^5 - 25 a^3 z^5 - 14 a^5 z^5 - 6 a^7 z^5 - 5 a^9 z^5 + z^6 - 
  7 a^2 z^6 - 18 a^4 z^6 - 21 a^6 z^6 - 11 a^8 z^6 + 3 a z^7 + 
  5 a^3 z^7 - 3 a^5 z^7 - 4 a^7 z^7 + a^9 z^7 + 2 a^2 z^8 + 
  3 a^4 z^8 + 3 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 a^2 + 2 a^4 + 3 a^6 + a^8 - a/z - a^3/z + a^5/z + (2 a^7)/z + a^9/
  z + 4 a z + 3 a^3 z - 9 a^5 z - 13 a^7 z - 5 a^9 z - 3 a^2 z^2 - 
  12 a^4 z^2 - 13 a^6 z^2 - 4 a^8 z^2 + 2 a^3 z^3 + 19 a^5 z^3 + 
  25 a^7 z^3 + 8 a^9 z^3 + 3 a^2 z^4 + 17 a^4 z^4 + 25 a^6 z^4 + 
  11 a^8 z^4 - 5 a^3 z^5 - 15 a^5 z^5 - 15 a^7 z^5 - 5 a^9 z^5 - 
  12 a^4 z^6 - 21 a^6 z^6 - 9 a^8 z^6 + 2 a^3 z^7 + a^5 z^7 + 
  a^9 z^7 + 3 a^4 z^8 + 5 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 a^2 + 4 a^6 + 7 a^8 + 3 a^10 - a/z - a^3/z - a^5/z - (2 a^7)/z - a^9/
  z + 3 a z + 5 a^3 z + 7 a^5 z + 8 a^7 z + 3 a^9 z + a^2 z^2 + 
  a^4 z^2 - 15 a^6 z^2 - 27 a^8 z^2 - 12 a^10 z^2 - 3 a z^3 - 
  9 a^3 z^3 - 10 a^5 z^3 - 14 a^7 z^3 - 10 a^9 z^3 - 5 a^2 z^4 - 
  6 a^4 z^4 + 20 a^6 z^4 + 36 a^8 z^4 + 15 a^10 z^4 + a z^5 + 
  a^3 z^5 + 4 a^5 z^5 + 18 a^7 z^5 + 14 a^9 z^5 + 2 a^2 z^6 + 
  3 a^4 z^6 - 8 a^6 z^6 - 16 a^8 z^6 - 7 a^10 z^6 + a^3 z^7 - 
  8 a^7 z^7 - 7 a^9 z^7 + a^6 z^8 + 2 a^8 z^8 + a^10 z^8 + a^7 z^9 + 
  a^9 z^9, -1 + 1/(a z) + a/z - 2 z^2 + z^2/a^6 + (2 z^2)/a^4 - 
  a^2 z^2 - z^3/a^7 + (4 z^3)/a^5 + (6 z^3)/a^3 - (4 z^3)/a - 
  5 a z^3 + 3 z^4 - (7 z^4)/a^6 - (3 z^4)/a^4 + (6 z^4)/a^2 + 
  a^2 z^4 + z^5/a^7 - (12 z^5)/a^5 - (13 z^5)/a^3 + (4 z^5)/a + 
  4 a z^5 + (4 z^6)/a^6 - (4 z^6)/a^4 - (8 z^6)/a^2 + (6 z^7)/a^5 + (
  6 z^7)/a^3 + z^8 + (4 z^8)/a^4 + (5 z^8)/a^2 + z^9/a^3 + z^9/
  a, -1 + 1/(a z) + a/z - (2 z)/a^3 - (4 z)/a - 2 a z - z^2 + (2 z^2)/
  a^4 + (2 z^2)/a^2 - 2 a^2 z^2 - a^4 z^2 + (9 z^3)/a^3 + (13 z^3)/a +
   a z^3 - 2 a^3 z^3 + a^5 z^3 + 4 z^4 - (3 z^4)/a^4 + z^4/a^2 + 
  4 a^2 z^4 + 4 a^4 z^4 - (10 z^5)/a^3 - (17 z^5)/a - 4 a z^5 + 
  3 a^3 z^5 - 10 z^6 + z^6/a^4 - (7 z^6)/a^2 - 2 a^2 z^6 + (3 z^7)/
  a^3 + (4 z^7)/a + 2 a z^7 + a^3 z^7 + 5 z^8 + (3 z^8)/a^2 + 
  2 a^2 z^8 + z^9/a + a z^9, -(1/a^8) - 2/a^6 + 2/a^2 + 1/(a^7 z) + 
  3/(a^5 z) + 3/(a^3 z) + 2/(a z) + a/z - (3 z)/a^7 - (10 z)/a^5 - (
  14 z)/a^3 - (11 z)/a - 4 a z - 5 z^2 + (5 z^2)/a^8 + (5 z^2)/a^6 - (
  8 z^2)/a^4 - (13 z^2)/a^2 + (8 z^3)/a^7 + (14 z^3)/a^5 + (18 z^3)/
  a^3 + (19 z^3)/a + 7 a z^3 + 13 z^4 - (5 z^4)/a^8 - (3 z^4)/a^6 + (
  18 z^4)/a^4 + (29 z^4)/a^2 - (6 z^5)/a^7 - (8 z^5)/a^5 - (6 z^5)/
  a^3 - (9 z^5)/a - 5 a z^5 - 10 z^6 + z^6/a^8 - (12 z^6)/a^4 - (
  21 z^6)/a^2 + z^7/a^7 + z^7/a^5 - (3 z^7)/a^3 - (2 z^7)/a + a z^7 + 
  2 z^8 + (2 z^8)/a^4 + (4 z^8)/a^2 + z^9/a^3 + z^9/a, -3 a^8 + 
  3 a^12 - a^16 + (2 a^7)/z + (2 a^9)/z - a^11/z - a^13/z - 9 a^7 z - 
  7 a^9 z + 4 a^11 z + a^13 z - a^15 z + 5 a^8 z^2 - 7 a^10 z^2 - 
  15 a^12 z^2 + 3 a^16 z^2 + 14 a^7 z^3 + 7 a^9 z^3 - 10 a^11 z^3 + 
  3 a^13 z^3 + 6 a^15 z^3 - 2 a^8 z^4 + 14 a^10 z^4 + 26 a^12 z^4 + 
  6 a^14 z^4 - 4 a^16 z^4 - 7 a^7 z^5 - 2 a^9 z^5 + 12 a^11 z^5 - 
  a^13 z^5 - 8 a^15 z^5 - 7 a^10 z^6 - 16 a^12 z^6 - 8 a^14 z^6 + 
  a^16 z^6 + a^7 z^7 - 6 a^11 z^7 - 3 a^13 z^7 + 2 a^15 z^7 + 
  a^10 z^8 + 3 a^12 z^8 + 2 a^14 z^8 + a^11 z^9 + a^13 z^9, -a^4 + 
  a^3/z + a^5/z - a z - 4 a^3 z - a^5 z + 2 a^7 z + z^2 - 2 a^4 z^2 - 
  3 a^6 z^2 - 2 a^8 z^2 + 9 a z^3 + 11 a^3 z^3 - 5 a^5 z^3 - 
  6 a^7 z^3 + a^9 z^3 - 3 z^4 + 7 a^2 z^4 + 11 a^4 z^4 + 4 a^6 z^4 + 
  3 a^8 z^4 - 11 a z^5 - 11 a^3 z^5 + 5 a^5 z^5 + 5 a^7 z^5 + z^6 - 
  10 a^2 z^6 - 12 a^4 z^6 - a^6 z^6 + 3 a z^7 + a^3 z^7 - 2 a^5 z^7 + 
  3 a^2 z^8 + 4 a^4 z^8 + a^6 z^8 + a^3 z^9 + a^5 z^9, -a^4 + a^3/z + 
  a^5/z - (2 z)/a - a z - a^5 z - z^2 + (2 z^2)/a^2 - 4 a^2 z^2 - 
  2 a^4 z^2 - a^6 z^2 - (2 z^3)/a^3 + (7 z^3)/a + 9 a z^3 - 
  6 a^3 z^3 - 6 a^5 z^3 + 4 z^4 - (7 z^4)/a^2 + 13 a^2 z^4 + 
  3 a^4 z^4 + a^6 z^4 + z^5/a^3 - (10 z^5)/a - 8 a z^5 + 7 a^3 z^5 + 
  4 a^5 z^5 - 6 z^6 + (3 z^6)/a^2 - 10 a^2 z^6 - a^4 z^6 + (4 z^7)/
  a + 2 a z^7 - 2 a^3 z^7 + 3 z^8 + 4 a^2 z^8 + a^4 z^8 + a z^9 + 
  a^3 z^9, 1/a^10 + 7/a^4 + 7/a^2 - 3/(a^5 z) - 7/(a^3 z) - 4/(a z) - 
  z/a^7 + (8 z)/a^5 + (29 z)/a^3 + (20 z)/a - (2 z^2)/a^10 - z^2/
  a^8 - (24 z^2)/a^4 - (23 z^2)/a^2 - (3 z^3)/a^9 - (6 z^3)/a^5 - (
  46 z^3)/a^3 - (37 z^3)/a + z^4/a^10 - (2 z^4)/a^8 - z^4/a^6 + (
  26 z^4)/a^4 + (24 z^4)/a^2 + (2 z^5)/a^9 + (3 z^5)/a^5 + (33 z^5)/
  a^3 + (28 z^5)/a + (2 z^6)/a^8 + (2 z^6)/a^6 - (9 z^6)/a^4 - (
  9 z^6)/a^2 + z^7/a^7 - (10 z^7)/a^3 - (9 z^7)/a + z^8/a^4 + z^8/
  a^2 + z^9/a^3 + z^9/a, -1 - 2/a^8 - 1/a^6 + 6/a^4 + 5/a^2 - 2/(
  a^5 z) - 4/(a^3 z) - 1/(a z) + a/z + (6 z)/a^5 + (16 z)/a^3 + (5 z)/
  a - 5 a z + z^2 + (6 z^2)/a^8 + (7 z^2)/a^6 - (19 z^2)/a^4 - (
  19 z^2)/a^2 + (5 z^3)/a^7 - (4 z^3)/a^5 - (29 z^3)/a^3 - (10 z^3)/
  a + 10 a z^3 + 5 z^4 - (5 z^4)/a^8 - (6 z^4)/a^6 + (19 z^4)/a^4 + (
  25 z^4)/a^2 - (5 z^5)/a^7 + (22 z^5)/a^3 + (11 z^5)/a - 6 a z^5 - 
  5 z^6 + z^6/a^8 + z^6/a^6 - (8 z^6)/a^4 - (13 z^6)/a^2 + z^7/a^7 - (
  8 z^7)/a^3 - (6 z^7)/a + a z^7 + z^8 + z^8/a^4 + (2 z^8)/a^2 + z^9/
  a^3 + z^9/a, -a^4 - a/z - (2 a^3)/z - (2 a^5)/z - a^7/z - (2 z)/a + 
  2 a z + 10 a^3 z + 9 a^5 z + 3 a^7 z - 5 z^2 - 4 a^2 z^2 + 
  2 a^4 z^2 + a^6 z^2 + (7 z^3)/a + a z^3 - 17 a^3 z^3 - 11 a^5 z^3 + 
  14 z^4 + 12 a^2 z^4 - a^4 z^4 + a^6 z^4 - (5 z^5)/a + 9 a^3 z^5 + 
  4 a^5 z^5 - 10 z^6 - 12 a^2 z^6 - 2 a^4 z^6 + z^7/a - 3 a z^7 - 
  4 a^3 z^7 + 2 z^8 + 3 a^2 z^8 + a^4 z^8 + a z^9 + a^3 z^9, -a^4 - a/
  z - (2 a^3)/z - (2 a^5)/z - a^7/z + 2 a z + 6 a^3 z + 9 a^5 z + 
  5 a^7 z + z^2 + 2 a^2 z^2 + 4 a^4 z^2 + 3 a^6 z^2 - (3 z^3)/a + 
  a z^3 + a^3 z^3 - 11 a^5 z^3 - 8 a^7 z^3 - 8 z^4 + z^4/a^2 - 
  6 a^2 z^4 - a^4 z^4 - 4 a^6 z^4 + (4 z^5)/a - 8 a z^5 - 
  13 a^3 z^5 + 2 a^5 z^5 + 3 a^7 z^5 + 7 z^6 - 7 a^4 z^6 + 7 a z^7 + 
  7 a^3 z^7 + 4 a^2 z^8 + 5 a^4 z^8 + a^6 z^8 + a^3 z^9 + 
  a^5 z^9, -2 a^4 + 4 a^6 + 9 a^8 + 4 a^10 + (2 a^3)/z + (2 a^5)/z - 
  a^7/z - a^9/z + a z - 7 a^3 z - 15 a^5 z - 9 a^7 z - 2 a^9 z + 
  a^2 z^2 + 3 a^4 z^2 - 12 a^6 z^2 - 25 a^8 z^2 - 11 a^10 z^2 - 
  2 a z^3 + 7 a^3 z^3 + 33 a^5 z^3 + 25 a^7 z^3 + a^9 z^3 - 
  5 a^2 z^4 + a^4 z^4 + 24 a^6 z^4 + 24 a^8 z^4 + 6 a^10 z^4 + 
  a z^5 - 9 a^3 z^5 - 27 a^5 z^5 - 20 a^7 z^5 - 3 a^9 z^5 + 
  3 a^2 z^6 - 7 a^4 z^6 - 23 a^6 z^6 - 13 a^8 z^6 + 5 a^3 z^7 + 
  7 a^5 z^7 + 5 a^7 z^7 + 3 a^9 z^7 + 5 a^4 z^8 + 10 a^6 z^8 + 
  5 a^8 z^8 + 2 a^5 z^9 + 2 a^7 z^9, -2 a^8 + 4 a^10 + 9 a^12 + 
  4 a^14 + (2 a^7)/z + (2 a^9)/z - a^11/z - a^13/z + a^5 z - 
  9 a^7 z - 12 a^9 z - a^11 z + a^13 z + a^6 z^2 + 5 a^8 z^2 - 
  17 a^10 z^2 - 34 a^12 z^2 - 13 a^14 z^2 - 3 a^5 z^3 + 13 a^7 z^3 + 
  21 a^9 z^3 - 2 a^11 z^3 - 7 a^13 z^3 - 5 a^6 z^4 - 4 a^8 z^4 + 
  27 a^10 z^4 + 41 a^12 z^4 + 15 a^14 z^4 + a^5 z^5 - 11 a^7 z^5 - 
  13 a^9 z^5 + 12 a^11 z^5 + 13 a^13 z^5 + 2 a^6 z^6 - a^8 z^6 - 
  13 a^10 z^6 - 17 a^12 z^6 - 7 a^14 z^6 + 3 a^7 z^7 + 3 a^9 z^7 - 
  7 a^11 z^7 - 7 a^13 z^7 + a^8 z^8 + 2 a^10 z^8 + 2 a^12 z^8 + 
  a^14 z^8 + a^11 z^9 + a^13 z^9, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z + 6 a^5 z + 
  7 a^7 z + a^9 z - 2 a^4 z^2 - 10 a^6 z^2 - 10 a^8 z^2 - 2 a^10 z^2 -
   a z^3 + 5 a^3 z^3 + 4 a^5 z^3 - 6 a^7 z^3 - 4 a^9 z^3 - 
  7 a^2 z^4 + 2 a^4 z^4 + 17 a^6 z^4 + 9 a^8 z^4 + a^10 z^4 + a z^5 - 
  13 a^3 z^5 - 12 a^5 z^5 + 5 a^7 z^5 + 3 a^9 z^5 + 4 a^2 z^6 - 
  6 a^4 z^6 - 12 a^6 z^6 - 2 a^8 z^6 + 6 a^3 z^7 + 5 a^5 z^7 - 
  a^7 z^7 + 4 a^4 z^8 + 5 a^6 z^8 + a^8 z^8 + a^5 z^9 + a^7 z^9, 
 2 a^2 - 2 a^6 - a^8 + 1/(a z) + (2 a)/z + (3 a^3)/z + (3 a^5)/z + 
  a^7/z - (4 z)/a - 15 a z - 22 a^3 z - 14 a^5 z - 3 a^7 z - 4 z^2 - 
  10 a^2 z^2 - 3 a^4 z^2 + 6 a^6 z^2 + 3 a^8 z^2 + (6 z^3)/a + 
  31 a z^3 + 48 a^3 z^3 + 28 a^5 z^3 + 5 a^7 z^3 + 14 z^4 + 
  32 a^2 z^4 + 11 a^4 z^4 - 7 a^6 z^4 - (4 z^5)/a - 19 a z^5 - 
  42 a^3 z^5 - 26 a^5 z^5 + a^7 z^5 - 12 z^6 - 35 a^2 z^6 - 
  18 a^4 z^6 + 5 a^6 z^6 + z^7/a - a z^7 + 7 a^3 z^7 + 9 a^5 z^7 + 
  3 z^8 + 10 a^2 z^8 + 7 a^4 z^8 + 2 a z^9 + 2 a^3 z^9, 
 2 a^6 - 2 a^10 - a^12 + a^3/z + (2 a^5)/z + (3 a^7)/z + (3 a^9)/z + 
  a^11/z - 6 a^3 z - 12 a^5 z - 14 a^7 z - 11 a^9 z - 3 a^11 z - 
  5 a^4 z^2 - 14 a^6 z^2 - 9 a^8 z^2 + 3 a^10 z^2 + 3 a^12 z^2 + 
  10 a^3 z^3 + 23 a^5 z^3 + 22 a^7 z^3 + 15 a^9 z^3 + 6 a^11 z^3 + 
  9 a^4 z^4 + 25 a^6 z^4 + 24 a^8 z^4 + 4 a^10 z^4 - 4 a^12 z^4 - 
  6 a^3 z^5 - 14 a^5 z^5 - 5 a^7 z^5 - 5 a^9 z^5 - 8 a^11 z^5 - 
  6 a^4 z^6 - 14 a^6 z^6 - 17 a^8 z^6 - 8 a^10 z^6 + a^12 z^6 + 
  a^3 z^7 + 2 a^5 z^7 - 4 a^7 z^7 - 3 a^9 z^7 + 2 a^11 z^7 + 
  a^4 z^8 + 2 a^6 z^8 + 3 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + 
  a^9 z^9, -(1/a^12) + 3/a^8 - 3/a^4 - 1/(a^9 z) - 1/(a^7 z) + 2/(
  a^5 z) + 2/(a^3 z) - z/a^11 - (2 z)/a^9 - (4 z)/a^7 - (10 z)/a^5 - (
  7 z)/a^3 + (3 z^2)/a^12 + (2 z^2)/a^10 - (6 z^2)/a^8 - (2 z^2)/
  a^6 + (3 z^2)/a^4 + (6 z^3)/a^11 + (12 z^3)/a^9 + (19 z^3)/a^7 + (
  19 z^3)/a^5 + (6 z^3)/a^3 - (3 z^4)/a^12 + z^4/a^10 + (11 z^4)/
  a^8 + (7 z^4)/a^6 - (8 z^5)/a^11 - (19 z^5)/a^9 - (25 z^5)/a^7 - (
  14 z^5)/a^5 + z^6/a^12 - (8 z^6)/a^10 - (21 z^6)/a^8 - (9 z^6)/
  a^6 + (3 z^6)/a^4 + (3 z^7)/a^11 + (4 z^7)/a^9 + (8 z^7)/a^7 + (
  7 z^7)/a^5 + (4 z^8)/a^10 + (10 z^8)/a^8 + (6 z^8)/a^6 + (2 z^9)/
  a^9 + (2 z^9)/a^7, -3 - 1/a^8 + 3/a^4 - 1/(a^5 z) - 1/(a^3 z) + 2/(
  a z) + (2 a)/z - (2 z)/a^7 - (2 z)/a^5 + (3 z)/a^3 - (4 z)/a - 
  7 a z + 4 z^2 + (4 z^2)/a^8 + (3 z^2)/a^6 - (15 z^2)/a^4 - (10 z^2)/
  a^2 + (7 z^3)/a^7 + (12 z^3)/a^5 - (3 z^3)/a^3 + (2 z^3)/a + 
  10 a z^3 + 3 z^4 - (4 z^4)/a^8 - (4 z^4)/a^6 + (21 z^4)/a^4 + (
  24 z^4)/a^2 - (8 z^5)/a^7 - (13 z^5)/a^5 + (8 z^5)/a^3 + (7 z^5)/
  a - 6 a z^5 - 5 z^6 + z^6/a^8 - (2 z^6)/a^6 - (12 z^6)/a^4 - (
  14 z^6)/a^2 + (2 z^7)/a^7 + (3 z^7)/a^5 - (6 z^7)/a^3 - (6 z^7)/a + 
  a z^7 + z^8 + z^8/a^6 + (2 z^8)/a^4 + (2 z^8)/a^2 + z^9/a^3 + z^9/a,
  a^6 + 4 a^10 + 7 a^12 + 3 a^14 - a^5/z - a^7/z - a^9/z - (2 a^11)/
  z - a^13/z + 3 a^5 z + a^7 z + 4 a^9 z + 10 a^11 z + 4 a^13 z + 
  3 a^8 z^2 - 14 a^10 z^2 - 28 a^12 z^2 - 11 a^14 z^2 - 4 a^5 z^3 + 
  3 a^7 z^3 - 2 a^9 z^3 - 21 a^11 z^3 - 12 a^13 z^3 - 3 a^6 z^4 - 
  4 a^8 z^4 + 18 a^10 z^4 + 34 a^12 z^4 + 15 a^14 z^4 + a^5 z^5 - 
  4 a^7 z^5 + 20 a^11 z^5 + 15 a^13 z^5 + a^6 z^6 + a^8 z^6 - 
  8 a^10 z^6 - 15 a^12 z^6 - 7 a^14 z^6 + a^7 z^7 - 8 a^11 z^7 - 
  7 a^13 z^7 + a^10 z^8 + 2 a^12 z^8 + a^14 z^8 + a^11 z^9 + 
  a^13 z^9, -3 - 1/a^4 - 3/a^2 - a^2 - a^4 + 1/(a^3 z) + 4/(a z) + (
  6 a)/z + (5 a^3)/z + (2 a^5)/z - (4 z)/a^3 - (19 z)/a - 29 a z - 
  21 a^3 z - 7 a^5 z + 10 z^2 + (3 z^2)/a^4 + (11 z^2)/a^2 + 
  3 a^2 z^2 + a^4 z^2 + (9 z^3)/a^3 + (37 z^3)/a + 51 a z^3 + 
  29 a^3 z^3 + 6 a^5 z^3 - 6 z^4 - (3 z^4)/a^4 - (9 z^4)/a^2 - (
  9 z^5)/a^3 - (36 z^5)/a - 44 a z^5 - 17 a^3 z^5 - 12 z^6 + z^6/
  a^4 - (3 z^6)/a^2 - 5 a^2 z^6 + 3 a^4 z^6 + (3 z^7)/a^3 + (10 z^7)/
  a + 14 a z^7 + 7 a^3 z^7 + 8 z^8 + (3 z^8)/a^2 + 5 a^2 z^8 + z^9/a +
   a z^9, -a^4 - a^6 - 3 a^8 - 3 a^10 - a^12 + (2 a^3)/z + (5 a^5)/
  z + (6 a^7)/z + (4 a^9)/z + a^11/z - 8 a^3 z - 22 a^5 z - 
  28 a^7 z - 18 a^9 z - 4 a^11 z + a^6 z^2 + 7 a^8 z^2 + 9 a^10 z^2 + 
  3 a^12 z^2 + 11 a^3 z^3 + 33 a^5 z^3 + 42 a^7 z^3 + 29 a^9 z^3 + 
  9 a^11 z^3 + 5 a^4 z^4 + 6 a^6 z^4 + a^8 z^4 - 4 a^10 z^4 - 
  4 a^12 z^4 - 6 a^3 z^5 - 19 a^5 z^5 - 22 a^7 z^5 - 18 a^9 z^5 - 
  9 a^11 z^5 - 5 a^4 z^6 - 6 a^6 z^6 - 5 a^8 z^6 - 3 a^10 z^6 + 
  a^12 z^6 + a^3 z^7 + 3 a^5 z^7 + 3 a^7 z^7 + 3 a^9 z^7 + 
  2 a^11 z^7 + a^4 z^8 + a^6 z^8 + a^8 z^8 + a^10 z^8, -1 - 1/a^8 - 3/
  a^6 - 3/a^4 - 1/a^2 + 1/(a^7 z) + 4/(a^5 z) + 6/(a^3 z) + 5/(
  a z) + (2 a)/z - (4 z)/a^7 - (16 z)/a^5 - (27 z)/a^3 - (22 z)/a - 
  7 a z - 2 z^2 + (4 z^2)/a^8 + (9 z^2)/a^6 + (7 z^2)/a^4 + (8 z^3)/
  a^7 + (24 z^3)/a^5 + (39 z^3)/a^3 + (33 z^3)/a + 10 a z^3 + 
  8 z^4 - (4 z^4)/a^8 - (8 z^4)/a^6 - (2 z^4)/a^4 + (10 z^4)/a^2 - (
  8 z^5)/a^7 - (18 z^5)/a^5 - (20 z^5)/a^3 - (16 z^5)/a - 6 a z^5 - 
  6 z^6 + z^6/a^8 - z^6/a^6 - (3 z^6)/a^4 - (7 z^6)/a^2 + (2 z^7)/
  a^7 + (4 z^7)/a^5 + (3 z^7)/a^3 + (2 z^7)/a + a z^7 + z^8 + z^8/
  a^6 + z^8/a^4 + z^8/a^2, -1 - a^2 - 3 a^4 - 3 a^6 - a^8 + 2/(
  a z) + (5 a)/z + (6 a^3)/z + (4 a^5)/z + a^7/z - (5 z)/a - 20 a z - 
  29 a^3 z - 18 a^5 z - 4 a^7 z - z^2 + 7 a^4 z^2 + 9 a^6 z^2 + 
  3 a^8 z^2 + (3 z^3)/a + 26 a z^3 + 50 a^3 z^3 + 35 a^5 z^3 + 
  8 a^7 z^3 + 2 z^4 + 10 a^2 z^4 + 3 a^4 z^4 - 8 a^6 z^4 - 
  3 a^8 z^4 - 12 a z^5 - 36 a^3 z^5 - 33 a^5 z^5 - 9 a^7 z^5 + z^6 - 
  9 a^2 z^6 - 15 a^4 z^6 - 4 a^6 z^6 + a^8 z^6 + 4 a z^7 + 
  9 a^3 z^7 + 8 a^5 z^7 + 3 a^7 z^7 + 4 a^2 z^8 + 7 a^4 z^8 + 
  3 a^6 z^8 + a^3 z^9 + a^5 z^9, -1 - 1/a^8 - 3/a^6 - 3/a^4 - 1/a^2 + 
  1/(a^7 z) + 4/(a^5 z) + 6/(a^3 z) + 5/(a z) + (2 a)/z - (4 z)/
  a^7 - (18 z)/a^5 - (31 z)/a^3 - (24 z)/a - 7 a z - 2 z^2 + (3 z^2)/
  a^8 + (9 z^2)/a^6 + (8 z^2)/a^4 + (5 z^3)/a^7 + (31 z^3)/a^5 + (
  58 z^3)/a^3 + (41 z^3)/a + 9 a z^3 + 9 z^4 - (9 z^4)/a^6 - (2 z^4)/
  a^4 + (16 z^4)/a^2 + z^5/a^7 - (25 z^5)/a^5 - (47 z^5)/a^3 - (
  26 z^5)/a - 5 a z^5 - 8 z^6 + (5 z^6)/a^6 - (10 z^6)/a^4 - (23 z^6)/
  a^2 + (8 z^7)/a^5 + (10 z^7)/a^3 + (3 z^7)/a + a z^7 + 2 z^8 + (
  5 z^8)/a^4 + (7 z^8)/a^2 + z^9/a^3 + z^9/a, -3 - 1/a^4 - 3/a^2 - 
  a^2 - a^4 + 1/(a^3 z) + 4/(a z) + (6 a)/z + (5 a^3)/z + (2 a^5)/
  z - (3 z)/a^3 - (18 z)/a - 30 a z - 22 a^3 z - 7 a^5 z + 6 z^2 + 
  z^2/a^4 + (8 z^2)/a^2 - 2 a^2 z^2 - a^4 z^2 + (3 z^3)/a^3 + (
  30 z^3)/a + 54 a z^3 + 36 a^3 z^3 + 9 a^5 z^3 + 5 z^4 - (5 z^4)/
  a^2 + 18 a^2 z^4 + 8 a^4 z^4 - (20 z^5)/a - 38 a z^5 - 23 a^3 z^5 - 
  5 a^5 z^5 - 12 z^6 + (2 z^6)/a^2 - 22 a^2 z^6 - 8 a^4 z^6 + (5 z^7)/
  a + 6 a z^7 + 2 a^3 z^7 + a^5 z^7 + 4 z^8 + 6 a^2 z^8 + 2 a^4 z^8 + 
  a z^9 + a^3 z^9, -2 a^4 - 3 a^6 - 3 a^8 - a^10 + (2 a^3)/z + (
  4 a^5)/z + (3 a^7)/z + a^9/z - 7 a^3 z - 15 a^5 z - 12 a^7 z - 
  4 a^9 z + 3 a^4 z^2 + 5 a^6 z^2 + 2 a^8 z^2 + a^10 z^2 + a^12 z^2 + 
  6 a^3 z^3 + 22 a^5 z^3 + 27 a^7 z^3 + 19 a^9 z^3 + 8 a^11 z^3 + 
  a^6 z^4 + 7 a^8 z^4 + 4 a^10 z^4 - 2 a^12 z^4 - 14 a^5 z^5 - 
  31 a^7 z^5 - 28 a^9 z^5 - 11 a^11 z^5 + 3 a^4 z^6 - 7 a^6 z^6 - 
  22 a^8 z^6 - 11 a^10 z^6 + a^12 z^6 + 7 a^5 z^7 + 10 a^7 z^7 + 
  7 a^9 z^7 + 4 a^11 z^7 + 6 a^6 z^8 + 11 a^8 z^8 + 5 a^10 z^8 + 
  2 a^7 z^9 + 2 a^9 z^9, -1 - 4 a^2 - 7 a^4 - 4 a^6 - a^8 + a/z + (
  4 a^3)/z + (4 a^5)/z + a^7/z - 4 a z - 14 a^3 z - 13 a^5 z - 
  5 a^7 z - 2 a^9 z + 3 z^2 + 10 a^2 z^2 + 10 a^4 z^2 - 3 a^6 z^2 - 
  6 a^8 z^2 + 5 a z^3 + 25 a^3 z^3 + 31 a^5 z^3 + 16 a^7 z^3 + 
  5 a^9 z^3 - 9 a^2 z^4 + 2 a^4 z^4 + 28 a^6 z^4 + 17 a^8 z^4 + 
  a z^5 - 23 a^3 z^5 - 30 a^5 z^5 - 10 a^7 z^5 - 4 a^9 z^5 + 
  5 a^2 z^6 - 14 a^4 z^6 - 32 a^6 z^6 - 13 a^8 z^6 + 8 a^3 z^7 + 
  4 a^5 z^7 - 3 a^7 z^7 + a^9 z^7 + 6 a^4 z^8 + 9 a^6 z^8 + 
  3 a^8 z^8 + 2 a^5 z^9 + 2 a^7 z^9, -(1/a^8) - 2/a^6 + 2/a^2 + 1/(
  a^7 z) + 3/(a^5 z) + 3/(a^3 z) + 2/(a z) + a/z - (3 z)/a^7 - (12 z)/
  a^5 - (18 z)/a^3 - (13 z)/a - 4 a z - 4 z^2 + (3 z^2)/a^8 + (3 z^2)/
  a^6 - (7 z^2)/a^4 - (11 z^2)/a^2 + (6 z^3)/a^7 + (25 z^3)/a^5 + (
  39 z^3)/a^3 + (23 z^3)/a + 3 a z^3 + 4 z^4 - (3 z^4)/a^8 - z^4/
  a^6 + (22 z^4)/a^4 + (24 z^4)/a^2 - (8 z^5)/a^7 - (25 z^5)/a^5 - (
  30 z^5)/a^3 - (13 z^5)/a + z^6 + z^6/a^8 - (8 z^6)/a^6 - (27 z^6)/
  a^4 - (17 z^6)/a^2 + (3 z^7)/a^7 + (4 z^7)/a^5 + (6 z^7)/a^3 + (
  5 z^7)/a + (4 z^8)/a^6 + (10 z^8)/a^4 + (6 z^8)/a^2 + (2 z^9)/
  a^5 + (2 z^9)/a^3, 
 1/a^10 - 5/a^6 - 5/a^4 + 2/(a^7 z) + 5/(a^5 z) + 3/(a^3 z) - (7 z)/
  a^7 - (17 z)/a^5 - (10 z)/a^3 - (5 z^2)/a^10 + (14 z^2)/a^6 + (
  9 z^2)/a^4 - (4 z^3)/a^9 + (12 z^3)/a^7 + (22 z^3)/a^5 + (6 z^3)/
  a^3 + (3 z^4)/a^10 - (3 z^4)/a^8 - (12 z^4)/a^6 - (6 z^4)/a^4 + z^5/
  a^9 - (11 z^5)/a^7 - (12 z^5)/a^5 + z^6/a^8 + (4 z^6)/a^6 + (3 z^6)/
  a^4 + z^7/a^9 + (5 z^7)/a^7 + (4 z^7)/a^5 + z^8/a^8 + z^8/
  a^6, -(1/a^4) - 2/a^2 + 2 a^2 + 1/(a^3 z) + 3/(a z) + (3 a)/z + (
  2 a^3)/z + a^5/z - (3 z)/a^3 - (13 z)/a - 16 a z - 10 a^3 z - 
  4 a^5 z - 6 z^2 + (3 z^2)/a^4 + (6 z^2)/a^2 - 13 a^2 z^2 - 
  4 a^4 z^2 + (8 z^3)/a^3 + (22 z^3)/a + 23 a z^3 + 16 a^3 z^3 + 
  7 a^5 z^3 + 18 z^4 - (4 z^4)/a^4 - z^4/a^2 + 27 a^2 z^4 + 
  12 a^4 z^4 - (9 z^5)/a^3 - (14 z^5)/a - 6 a z^5 - 6 a^3 z^5 - 
  5 a^5 z^5 - 13 z^6 + z^6/a^4 - (4 z^6)/a^2 - 18 a^2 z^6 - 
  10 a^4 z^6 + (2 z^7)/a^3 + (2 z^7)/a - 4 a z^7 - 3 a^3 z^7 + 
  a^5 z^7 + 2 z^8 + z^8/a^2 + 3 a^2 z^8 + 2 a^4 z^8 + a z^9 + 
  a^3 z^9, -5 + 1/a^6 - 5/a^2 + 2/(a^3 z) + 5/(a z) + (3 a)/z - z/
  a^5 - (5 z)/a^3 - (14 z)/a - 10 a z + 9 z^2 + (4 z^2)/a^6 + (5 z^2)/
  a^4 + (10 z^2)/a^2 - (2 z^3)/a^7 + (2 z^3)/a^5 + (4 z^3)/a^3 + (
  14 z^3)/a + 14 a z^3 - 3 z^4 - (9 z^4)/a^6 - (10 z^4)/a^4 - (4 z^4)/
  a^2 + z^5/a^7 - (5 z^5)/a^5 - (2 z^5)/a^3 - (3 z^5)/a - 7 a z^5 + (
  3 z^6)/a^6 + (4 z^6)/a^4 + z^6/a^2 + (2 z^7)/a^5 + z^7/a^3 + a z^7, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z - z/a^5 + (3 z)/
  a + 7 a z + 5 a^3 z - 7 z^2 - (9 z^2)/a^4 - (13 z^2)/a^2 - 
  3 a^2 z^2 + (6 z^3)/a^5 + (3 z^3)/a^3 - (2 z^3)/a - 4 a z^3 - 
  5 a^3 z^3 + 9 z^4 + (17 z^4)/a^4 + (26 z^4)/a^2 - (5 z^5)/a^5 + z^5/
  a^3 + (5 z^5)/a + a^3 z^5 - 6 z^6 - (11 z^6)/a^4 - (17 z^6)/a^2 + 
  z^7/a^5 - (4 z^7)/a^3 - (5 z^7)/a + z^8 + (2 z^8)/a^4 + (3 z^8)/
  a^2 + z^9/a^3 + z^9/a, -5 a^8 - 5 a^10 + a^14 + (3 a^7)/z + (5 a^9)/
  z + (2 a^11)/z - 11 a^7 z - 15 a^9 z - 4 a^11 z + 8 a^8 z^2 + 
  4 a^10 z^2 - 6 a^12 z^2 - 2 a^14 z^2 - 2 a^5 z^3 + 18 a^7 z^3 + 
  25 a^9 z^3 + 2 a^11 z^3 - 3 a^13 z^3 - 5 a^6 z^4 - 2 a^8 z^4 + 
  8 a^10 z^4 + 6 a^12 z^4 + a^14 z^4 + a^5 z^5 - 17 a^7 z^5 - 
  20 a^9 z^5 + a^11 z^5 + 3 a^13 z^5 + 3 a^6 z^6 - 6 a^8 z^6 - 
  10 a^10 z^6 - a^12 z^6 + 6 a^7 z^7 + 6 a^9 z^7 + 4 a^8 z^8 + 
  5 a^10 z^8 + a^12 z^8 + a^9 z^9 + a^11 z^9, 
 2 + 1/a^4 + 3/a^2 + a^2 + 1/(a^5 z) + 3/(a^3 z) + 4/(a z) + (2 a)/
  z - (4 z)/a^5 - (18 z)/a^3 - (26 z)/a - 15 a z - 3 a^3 z - 
  12 z^2 - (6 z^2)/a^4 - (17 z^2)/a^2 + a^4 z^2 + (6 z^3)/a^5 + (
  34 z^3)/a^3 + (56 z^3)/a + 32 a z^3 + 4 a^3 z^3 + 27 z^4 + (14 z^4)/
  a^4 + (42 z^4)/a^2 - a^2 z^4 - (4 z^5)/a^5 - (21 z^5)/a^3 - (
  42 z^5)/a - 25 a z^5 - 25 z^6 - (12 z^6)/a^4 - (39 z^6)/a^2 + 
  2 a^2 z^6 + z^7/a^5 - z^7/a^3 + (5 z^7)/a + 7 a z^7 + 7 z^8 + (
  3 z^8)/a^4 + (10 z^8)/a^2 + (2 z^9)/a^3 + (2 z^9)/a, 
 1 + 3 a^2 + 2 a^4 + a^6 + 1/(a z) + (3 a)/z + (4 a^3)/z + (2 a^5)/
  z - (5 z)/a - 16 a z - 23 a^3 z - 15 a^5 z - 3 a^7 z - 7 z^2 - 
  15 a^2 z^2 - 10 a^4 z^2 - a^6 z^2 + a^8 z^2 + (9 z^3)/a + 
  25 a z^3 + 34 a^3 z^3 + 27 a^5 z^3 + 9 a^7 z^3 + 12 z^4 + 
  27 a^2 z^4 + 23 a^4 z^4 + 5 a^6 z^4 - 3 a^8 z^4 - (6 z^5)/a - 
  11 a z^5 - 12 a^3 z^5 - 18 a^5 z^5 - 11 a^7 z^5 - 7 z^6 - 
  14 a^2 z^6 - 18 a^4 z^6 - 10 a^6 z^6 + a^8 z^6 + z^7/a + a z^7 - 
  2 a^3 z^7 + a^5 z^7 + 3 a^7 z^7 + z^8 + 2 a^2 z^8 + 4 a^4 z^8 + 
  3 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 1/a^2 + 1/(a^5 z) + 2/(a^3 z) + 2/(a z) + a/z - (3 z)/a^7 - (9 z)/
  a^5 - (13 z)/a^3 - (11 z)/a - 4 a z - 2 z^2 + (2 z^2)/a^8 + z^2/
  a^6 - (2 z^2)/a^4 - (3 z^2)/a^2 + (9 z^3)/a^7 + (23 z^3)/a^5 + (
  26 z^3)/a^3 + (15 z^3)/a + 3 a z^3 + 2 z^4 - (3 z^4)/a^8 + z^4/
  a^6 + (10 z^4)/a^4 + (8 z^4)/a^2 - (10 z^5)/a^7 - (23 z^5)/a^5 - (
  20 z^5)/a^3 - (7 z^5)/a + z^6 + z^6/a^8 - (7 z^6)/a^6 - (15 z^6)/
  a^4 - (6 z^6)/a^2 + (3 z^7)/a^7 + (5 z^7)/a^5 + (5 z^7)/a^3 + (
  3 z^7)/a + (3 z^8)/a^6 + (6 z^8)/a^4 + (3 z^8)/a^2 + z^9/a^5 + z^9/
  a^3, a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z - (4 z)/a - 
  12 a z - 12 a^3 z - 4 a^5 z - 5 z^2 - 10 a^2 z^2 - 5 a^4 z^2 + (
  7 z^3)/a + 20 a z^3 + 20 a^3 z^3 + 7 a^5 z^3 + 13 z^4 + 
  26 a^2 z^4 + 13 a^4 z^4 - (5 z^5)/a - 9 a z^5 - 9 a^3 z^5 - 
  5 a^5 z^5 - 10 z^6 - 20 a^2 z^6 - 10 a^4 z^6 + z^7/a - 2 a z^7 - 
  2 a^3 z^7 + a^5 z^7 + 2 z^8 + 4 a^2 z^8 + 2 a^4 z^8 + a z^9 + 
  a^3 z^9, 1/a^2 + 1/(a^5 z) + 2/(a^3 z) + 2/(a z) + a/z - (2 z)/
  a^7 - (7 z)/a^5 - (13 z)/a^3 - (13 z)/a - 5 a z - 4 z^2 + z^2/
  a^8 - (3 z^2)/a^4 - (6 z^2)/a^2 + (3 z^3)/a^7 + (13 z^3)/a^5 + (
  27 z^3)/a^3 + (25 z^3)/a + 8 a z^3 + 11 z^4 + (9 z^4)/a^4 + (
  20 z^4)/a^2 - (10 z^5)/a^5 - (20 z^5)/a^3 - (15 z^5)/a - 5 a z^5 - 
  9 z^6 + z^6/a^6 - (10 z^6)/a^4 - (20 z^6)/a^2 + (3 z^7)/a^5 + (
  2 z^7)/a^3 + a z^7 + 2 z^8 + (3 z^8)/a^4 + (5 z^8)/a^2 + z^9/a^3 + 
  z^9/a, a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z - (2 z)/a^3 - (
  8 z)/a - 12 a z - 8 a^3 z - 2 a^5 z - 9 z^2 + z^2/a^4 - (2 z^2)/
  a^2 - 8 a^2 z^2 - 2 a^4 z^2 + (9 z^3)/a^3 + (22 z^3)/a + 21 a z^3 + 
  9 a^3 z^3 + a^5 z^3 + 23 z^4 - (3 z^4)/a^4 + (7 z^4)/a^2 + 
  15 a^2 z^4 + 2 a^4 z^4 - (11 z^5)/a^3 - (18 z^5)/a - 10 a z^5 - 
  3 a^3 z^5 - 19 z^6 + z^6/a^4 - (10 z^6)/a^2 - 8 a^2 z^6 + (3 z^7)/
  a^3 + (2 z^7)/a + a^3 z^7 + 5 z^8 + (3 z^8)/a^2 + 2 a^2 z^8 + z^9/
  a + a z^9, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/z + (3 a^5)/z + a^7/z + 
  a^5 z - a^9 z - a^2 z^2 - 2 a^4 z^2 - 3 a^6 z^2 + a^8 z^2 + 
  3 a^10 z^2 - 6 a^3 z^3 - 10 a^5 z^3 + 3 a^7 z^3 + 5 a^9 z^3 - 
  2 a^11 z^3 + a^2 z^4 + 4 a^4 z^4 + 12 a^6 z^4 + 2 a^8 z^4 - 
  7 a^10 z^4 + 4 a^3 z^5 + 9 a^5 z^5 - 5 a^7 z^5 - 9 a^9 z^5 + 
  a^11 z^5 - a^4 z^6 - 9 a^6 z^6 - 5 a^8 z^6 + 3 a^10 z^6 - 
  2 a^5 z^7 + 2 a^7 z^7 + 4 a^9 z^7 + a^4 z^8 + 4 a^6 z^8 + 
  3 a^8 z^8 + a^5 z^9 + a^7 z^9, -(1/a^8) + 5/a^4 + 5/a^2 - 2/(
  a^5 z) - 5/(a^3 z) - 3/(a z) + (6 z)/a^5 + (15 z)/a^3 + (8 z)/a - 
  a z - z^2 + (4 z^2)/a^8 - (14 z^2)/a^4 - (11 z^2)/a^2 + (5 z^3)/
  a^7 - (7 z^3)/a^5 - (20 z^3)/a^3 - (7 z^3)/a + a z^3 + 2 z^4 - (
  4 z^4)/a^8 + (3 z^4)/a^6 + (15 z^4)/a^4 + (10 z^4)/a^2 - (7 z^5)/
  a^7 + (2 z^5)/a^5 + (13 z^5)/a^3 + (4 z^5)/a + z^6/a^8 - (6 z^6)/
  a^6 - (10 z^6)/a^4 - (3 z^6)/a^2 + (2 z^7)/a^7 - (2 z^7)/a^5 - (
  4 z^7)/a^3 + (2 z^8)/a^6 + (3 z^8)/a^4 + z^8/a^2 + z^9/a^5 + z^9/
  a^3, 5 a^6 + 5 a^8 - a^12 - (3 a^5)/z - (5 a^7)/z - (2 a^9)/z + 
  10 a^5 z + 15 a^7 z + 4 a^9 z - a^11 z - 10 a^6 z^2 - 13 a^8 z^2 + 
  3 a^10 z^2 + 6 a^12 z^2 - 6 a^5 z^3 - 16 a^7 z^3 - 4 a^9 z^3 + 
  6 a^11 z^3 + 6 a^6 z^4 + 7 a^8 z^4 - 4 a^10 z^4 - 5 a^12 z^4 + 
  a^5 z^5 + 7 a^7 z^5 + a^9 z^5 - 5 a^11 z^5 - a^6 z^6 - a^8 z^6 + 
  a^10 z^6 + a^12 z^6 - a^7 z^7 + a^11 z^7, 
 5 a^10 + 5 a^12 - a^16 - (3 a^9)/z - (5 a^11)/z - (2 a^13)/z + 
  18 a^9 z + 23 a^11 z + 4 a^13 z - a^15 z - 18 a^10 z^2 - 
  18 a^12 z^2 + a^14 z^2 + a^16 z^2 - 36 a^9 z^3 - 38 a^11 z^3 - 
  a^13 z^3 + a^15 z^3 + 20 a^10 z^4 + 20 a^12 z^4 + 28 a^9 z^5 + 
  28 a^11 z^5 - 8 a^10 z^6 - 8 a^12 z^6 - 9 a^9 z^7 - 9 a^11 z^7 + 
  a^10 z^8 + a^12 z^8 + a^9 z^9 + a^11 z^9, 
 a^2 - a/z - a^3/z + (6 z)/a + 11 a z + 3 a^3 z - 2 a^5 z - 4 z^2 + 
  z^2/a^4 - (2 z^2)/a^2 - 6 a^2 z^2 - 5 a^4 z^2 + (2 z^3)/a^3 - (
  11 z^3)/a - 19 a z^3 + a^3 z^3 + 7 a^5 z^3 + 2 z^4 + (3 z^4)/a^2 + 
  13 a^2 z^4 + 14 a^4 z^4 + (5 z^5)/a + 10 a z^5 - 5 a^5 z^5 - 
  2 z^6 - 12 a^2 z^6 - 10 a^4 z^6 - 4 a z^7 - 3 a^3 z^7 + a^5 z^7 + 
  z^8 + 3 a^2 z^8 + 2 a^4 z^8 + a z^9 + a^3 z^9, -(1/a^8) + 5/a^4 + 5/
  a^2 - 2/(a^5 z) - 5/(a^3 z) - 3/(a z) + (9 z)/a^5 + (20 z)/a^3 + (
  9 z)/a - 2 a z - z^2 + (6 z^2)/a^8 - (2 z^2)/a^6 - (20 z^2)/a^4 - (
  13 z^2)/a^2 + (3 z^3)/a^7 - (19 z^3)/a^5 - (29 z^3)/a^3 - (6 z^3)/
  a + a z^3 + z^4 - (5 z^4)/a^8 + (4 z^4)/a^6 + (23 z^4)/a^4 + (
  15 z^4)/a^2 - (4 z^5)/a^7 + (15 z^5)/a^5 + (21 z^5)/a^3 + (2 z^5)/
  a + z^6/a^8 - (4 z^6)/a^6 - (11 z^6)/a^4 - (6 z^6)/a^2 + z^7/a^7 - (
  6 z^7)/a^5 - (7 z^7)/a^3 + z^8/a^6 + (2 z^8)/a^4 + z^8/a^2 + z^9/
  a^5 + z^9/a^3, 
 5 - 1/a^4 + 5 a^2 - 2/(a z) - (5 a)/z - (3 a^3)/z + (7 z)/a + 
  22 a z + 11 a^3 z - 4 a^5 z - 17 z^2 + z^2/a^4 - 17 a^2 z^2 - 
  a^4 z^2 + z^3/a^3 - (6 z^3)/a - 33 a z^3 - 16 a^3 z^3 + 
  10 a^5 z^3 + 15 z^4 + z^4/a^2 + 20 a^2 z^4 + 6 a^4 z^4 + (2 z^5)/
  a + 21 a z^5 + 13 a^3 z^5 - 6 a^5 z^5 - 6 z^6 - 11 a^2 z^6 - 
  5 a^4 z^6 - 7 a z^7 - 6 a^3 z^7 + a^5 z^7 + z^8 + 2 a^2 z^8 + 
  a^4 z^8 + a z^9 + a^3 z^9, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/z + (
  3 a^5)/z + a^7/z - 3 a^3 z - 4 a^5 z - a^7 z + 4 a^4 z^2 + 
  9 a^6 z^2 + 7 a^8 z^2 + 2 a^10 z^2 - 4 a^3 z^3 - 2 a^5 z^3 + 
  7 a^7 z^3 + 4 a^9 z^3 - a^11 z^3 + a^2 z^4 - 4 a^4 z^4 - 
  8 a^6 z^4 - 10 a^8 z^4 - 7 a^10 z^4 + 5 a^3 z^5 + a^5 z^5 - 
  16 a^7 z^5 - 11 a^9 z^5 + a^11 z^5 + 3 a^4 z^6 - 2 a^6 z^6 - 
  a^8 z^6 + 4 a^10 z^6 + 2 a^5 z^7 + 8 a^7 z^7 + 6 a^9 z^7 + 
  a^4 z^8 + 5 a^6 z^8 + 4 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 a^2 - a/z - a^3/z + a z + 4 a^3 z + 5 a^5 z + a^7 z - a^9 z - 
  4 a^4 z^2 - 12 a^6 z^2 - 8 a^8 z^2 - 4 a^3 z^3 - 9 a^5 z^3 + 
  a^7 z^3 + 6 a^9 z^3 + 7 a^4 z^4 + 24 a^6 z^4 + 17 a^8 z^4 + 
  a^3 z^5 + 8 a^5 z^5 + 2 a^7 z^5 - 5 a^9 z^5 - 5 a^4 z^6 - 
  16 a^6 z^6 - 11 a^8 z^6 - 5 a^5 z^7 - 4 a^7 z^7 + a^9 z^7 + 
  a^4 z^8 + 3 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, -1 + 2/a^6 + 5/
  a^4 + 3/a^2 - 1/(a^5 z) - 2/(a^3 z) + a/z + (4 z)/a^5 + (8 z)/a^3 + 
  z/a - 3 a z - (11 z^2)/a^6 - (21 z^2)/a^4 - (10 z^2)/a^2 - (12 z^3)/
  a^5 - (14 z^3)/a^3 - z^3/a + a z^3 + (15 z^4)/a^6 + (29 z^4)/a^4 + (
  14 z^4)/a^2 + (15 z^5)/a^5 + (15 z^5)/a^3 - (7 z^6)/a^6 - (14 z^6)/
  a^4 - (7 z^6)/a^2 - (7 z^7)/a^5 - (7 z^7)/a^3 + z^8/a^6 + (2 z^8)/
  a^4 + z^8/a^2 + z^9/a^5 + z^9/a^3, -a^4 + 3 a^6 + 5 a^8 + 2 a^10 + 
  a^3/z - (2 a^7)/z - a^9/z - 5 a^3 z - 5 a^5 z + 2 a^7 z + 2 a^9 z - 
  6 a^6 z^2 - 13 a^8 z^2 - 7 a^10 z^2 + 3 a^3 z^3 + 11 a^5 z^3 + 
  6 a^7 z^3 - 2 a^9 z^3 + 6 a^6 z^4 + 9 a^8 z^4 + 3 a^10 z^4 - 
  6 a^5 z^5 - 7 a^7 z^5 - a^9 z^5 + a^4 z^6 - 2 a^6 z^6 - 3 a^8 z^6 + 
  2 a^5 z^7 + 3 a^7 z^7 + a^9 z^7 + a^6 z^8 + a^8 z^8, -a^8 + 
  3 a^10 + 5 a^12 + 2 a^14 + a^7/z - (2 a^11)/z - a^13/z - 5 a^7 z + 
  3 a^9 z + 10 a^11 z + 2 a^13 z + a^8 z^2 - 14 a^10 z^2 - 
  16 a^12 z^2 - a^14 z^2 + 10 a^7 z^3 - 9 a^9 z^3 - 20 a^11 z^3 - 
  a^13 z^3 + 5 a^8 z^4 + 21 a^10 z^4 + 16 a^12 z^4 - 6 a^7 z^5 + 
  11 a^9 z^5 + 17 a^11 z^5 - 5 a^8 z^6 - 12 a^10 z^6 - 7 a^12 z^6 + 
  a^7 z^7 - 6 a^9 z^7 - 7 a^11 z^7 + a^8 z^8 + 2 a^10 z^8 + a^12 z^8 +
   a^9 z^9 + a^11 z^9, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z + z/a - 4 a z - 
  10 a^3 z - 4 a^5 z + a^7 z - 6 z^2 - (2 z^2)/a^2 - 13 a^2 z^2 - 
  8 a^4 z^2 + a^6 z^2 - (6 z^3)/a + a z^3 + 18 a^3 z^3 + 8 a^5 z^3 - 
  3 a^7 z^3 + 7 z^4 + z^4/a^2 + 27 a^2 z^4 + 16 a^4 z^4 - 
  5 a^6 z^4 + (3 z^5)/a + 5 a z^5 - 8 a^3 z^5 - 9 a^5 z^5 + a^7 z^5 - 
  3 z^6 - 16 a^2 z^6 - 11 a^4 z^6 + 2 a^6 z^6 - 3 a z^7 + 3 a^5 z^7 + 
  z^8 + 4 a^2 z^8 + 3 a^4 z^8 + a z^9 + a^3 z^9, -1 + 2/a^6 + 5/a^4 + 
  3/a^2 - 1/(a^5 z) - 2/(a^3 z) + a/z + (4 z)/a^5 + (5 z)/a^3 - (4 z)/
  a - 4 a z + a^3 z + z^2 - (13 z^2)/a^6 - (22 z^2)/a^4 - (9 z^2)/
  a^2 + a^2 z^2 - (8 z^3)/a^5 + (10 z^3)/a + 2 a z^3 - 3 z^4 + (
  16 z^4)/a^6 + (33 z^4)/a^4 + (14 z^4)/a^2 + (11 z^5)/a^5 + (2 z^5)/
  a^3 - (9 z^5)/a + z^6 - (7 z^6)/a^6 - (18 z^6)/a^4 - (10 z^6)/
  a^2 - (6 z^7)/a^5 - (4 z^7)/a^3 + (2 z^7)/a + z^8/a^6 + (3 z^8)/
  a^4 + (2 z^8)/a^2 + z^9/a^5 + z^9/a^3, 
 5 + 2/a^2 + 3 a^2 - a^4 - 1/(a z) - (2 a)/z + a^5/z + (2 z)/a + 
  7 a z - 2 a^3 z - 6 a^5 z + a^7 z - 17 z^2 - (3 z^2)/a^2 - 
  13 a^2 z^2 + 2 a^4 z^2 + a^6 z^2 - (4 z^3)/a - 14 a z^3 + 
  4 a^3 z^3 + 11 a^5 z^3 - 3 a^7 z^3 + 15 z^4 + z^4/a^2 + 
  22 a^2 z^4 + 3 a^4 z^4 - 5 a^6 z^4 + (2 z^5)/a + 14 a z^5 + 
  a^3 z^5 - 10 a^5 z^5 + a^7 z^5 - 5 z^6 - 12 a^2 z^6 - 5 a^4 z^6 + 
  2 a^6 z^6 - 5 a z^7 - 2 a^3 z^7 + 3 a^5 z^7 + z^8 + 3 a^2 z^8 + 
  2 a^4 z^8 + a z^9 + a^3 z^9, 
 a^2 - a/z - a^3/z + a z + a^3 z - 2 a^2 z^2 - 6 a^4 z^2 - 
  6 a^6 z^2 - 2 a^8 z^2 + 7 a z^3 + 10 a^3 z^3 - 2 a^7 z^3 + 
  a^9 z^3 - 2 z^4 + 10 a^2 z^4 + 20 a^4 z^4 + 12 a^6 z^4 + 
  4 a^8 z^4 - 12 a z^5 - 15 a^3 z^5 + 3 a^7 z^5 + z^6 - 15 a^2 z^6 - 
  23 a^4 z^6 - 7 a^6 z^6 + 4 a z^7 + a^3 z^7 - 2 a^5 z^7 + a^7 z^7 + 
  5 a^2 z^8 + 8 a^4 z^8 + 3 a^6 z^8 + 2 a^3 z^9 + 2 a^5 z^9, -3 - 1/
  a^4 - 3/a^2 + 1/(a^3 z) + 3/(a z) + (2 a)/z - (5 z)/a - 8 a z - 
  3 a^3 z + 3 z^2 - (2 z^2)/a^4 + 3 a^2 z^2 + 2 a^4 z^2 + z^3/a^5 - 
  z^3/a^3 + (7 z^3)/a + 18 a z^3 + 9 a^3 z^3 + 4 z^4 + (4 z^4)/a^4 + (
  5 z^4)/a^2 - 3 a^4 z^4 + (2 z^5)/a^3 - (7 z^5)/a - 19 a z^5 - 
  10 a^3 z^5 - 11 z^6 - (3 z^6)/a^2 - 7 a^2 z^6 + a^4 z^6 + z^7/
  a^3 + (2 z^7)/a + 4 a z^7 + 3 a^3 z^7 + 5 z^8 + (2 z^8)/a^2 + 
  3 a^2 z^8 + z^9/a + a z^9, -a^4 + 3 a^6 + 5 a^8 + 2 a^10 + a^3/z - (
  2 a^7)/z - a^9/z - 5 a^3 z - 5 a^5 z + 2 a^7 z + 2 a^9 z - 
  a^4 z^2 - 8 a^6 z^2 - 13 a^8 z^2 - 5 a^10 z^2 + a^12 z^2 + 
  8 a^3 z^3 + 16 a^5 z^3 + 3 a^7 z^3 - 3 a^9 z^3 + 2 a^11 z^3 + 
  10 a^4 z^4 + 17 a^6 z^4 + 11 a^8 z^4 + 4 a^10 z^4 - 5 a^3 z^5 - 
  10 a^5 z^5 - 5 a^7 z^5 - 9 a^4 z^6 - 16 a^6 z^6 - 7 a^8 z^6 + 
  a^3 z^7 - a^5 z^7 - a^7 z^7 + a^9 z^7 + 2 a^4 z^8 + 4 a^6 z^8 + 
  2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 5 + 2/a^2 + 3 a^2 - a^4 - 1/(a z) - (2 a)/z + a^5/z + (3 z)/a + 
  9 a z - 2 a^3 z - 8 a^5 z - 14 z^2 - (3 z^2)/a^2 - 8 a^2 z^2 + 
  3 a^4 z^2 - (3 z^3)/a - 13 a z^3 + 4 a^3 z^3 + 14 a^5 z^3 + 8 z^4 + 
  z^4/a^2 + 6 a^2 z^4 - a^4 z^4 + z^5/a + 7 a z^5 - a^3 z^5 - 
  7 a^5 z^5 - z^6 - a^2 z^6 - a z^7 + a^5 z^7, 
 a^6 - a^5/z - a^7/z - a^3 z + 5 a^5 z + 3 a^7 z - 4 a^9 z - a^11 z - 
  a^4 z^2 - 5 a^6 z^2 - 6 a^8 z^2 - a^10 z^2 + a^12 z^2 + a^3 z^3 - 
  6 a^5 z^3 - 3 a^7 z^3 + 13 a^9 z^3 + 9 a^11 z^3 + 2 a^4 z^4 + 
  6 a^6 z^4 + 14 a^8 z^4 + 7 a^10 z^4 - 3 a^12 z^4 + 4 a^5 z^5 + 
  3 a^7 z^5 - 12 a^9 z^5 - 11 a^11 z^5 - 2 a^6 z^6 - 13 a^8 z^6 - 
  10 a^10 z^6 + a^12 z^6 - 2 a^7 z^7 + a^9 z^7 + 3 a^11 z^7 + 
  a^6 z^8 + 4 a^8 z^8 + 3 a^10 z^8 + a^7 z^9 + a^9 z^9, -a^4 + 
  3 a^6 + 5 a^8 + 2 a^10 + a^3/z - (2 a^7)/z - a^9/z - 2 a^3 z + 
  3 a^5 z + 8 a^7 z + 2 a^9 z - a^11 z - 11 a^6 z^2 - 20 a^8 z^2 - 
  6 a^10 z^2 + 3 a^12 z^2 + a^3 z^3 - 3 a^5 z^3 - 13 a^7 z^3 - 
  2 a^9 z^3 + 7 a^11 z^3 + a^4 z^4 + 13 a^6 z^4 + 25 a^8 z^4 + 
  9 a^10 z^4 - 4 a^12 z^4 + 2 a^5 z^5 + 12 a^7 z^5 + 2 a^9 z^5 - 
  8 a^11 z^5 - 5 a^6 z^6 - 14 a^8 z^6 - 8 a^10 z^6 + a^12 z^6 - 
  5 a^7 z^7 - 3 a^9 z^7 + 2 a^11 z^7 + a^6 z^8 + 3 a^8 z^8 + 
  2 a^10 z^8 + a^7 z^9 + a^9 z^9, -a^8 + 3 a^10 + 5 a^12 + 2 a^14 + 
  a^7/z - (2 a^11)/z - a^13/z - 7 a^7 z + 9 a^11 z + a^13 z - 
  a^15 z + 3 a^8 z^2 - 11 a^10 z^2 - 19 a^12 z^2 - 4 a^14 z^2 + 
  a^16 z^2 + 11 a^7 z^3 - 12 a^11 z^3 + a^13 z^3 + 2 a^15 z^3 + 
  2 a^8 z^4 + 19 a^10 z^4 + 20 a^12 z^4 + 3 a^14 z^4 - 6 a^7 z^5 + 
  3 a^9 z^5 + 7 a^11 z^5 - 2 a^13 z^5 - 4 a^8 z^6 - 14 a^10 z^6 - 
  10 a^12 z^6 + a^7 z^7 - 4 a^9 z^7 - 4 a^11 z^7 + a^13 z^7 + 
  a^8 z^8 + 3 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + a^11 z^9, -3 - 1/
  a^4 - 3/a^2 + 1/(a^3 z) + 3/(a z) + (2 a)/z - (3 z)/a^3 - (10 z)/
  a - 9 a z - 2 a^3 z + (2 z^2)/a^4 + (3 z^2)/a^2 + a^4 z^2 + (2 z^3)/
  a^3 + (11 z^3)/a + 18 a z^3 + 9 a^3 z^3 + 13 z^4 + (4 z^4)/a^2 + 
  6 a^2 z^4 - 3 a^4 z^4 + z^5/a^3 - (2 z^5)/a - 14 a z^5 - 
  11 a^3 z^5 - 14 z^6 - (3 z^6)/a^2 - 10 a^2 z^6 + a^4 z^6 - (2 z^7)/
  a + a z^7 + 3 a^3 z^7 + 4 z^8 + z^8/a^2 + 3 a^2 z^8 + z^9/a + 
  a z^9, -a^4 + 3 a^6 + 5 a^8 + 2 a^10 + a^3/z - (2 a^7)/z - a^9/z - 
  5 a^3 z - 2 a^5 z + 7 a^7 z + 3 a^9 z - a^11 z + a^4 z^2 - 
  7 a^6 z^2 - 18 a^8 z^2 - 6 a^10 z^2 + 4 a^12 z^2 + 3 a^3 z^3 + 
  7 a^5 z^3 - 7 a^7 z^3 - 5 a^9 z^3 + 6 a^11 z^3 + 10 a^6 z^4 + 
  20 a^8 z^4 + 6 a^10 z^4 - 4 a^12 z^4 - 4 a^5 z^5 + 3 a^7 z^5 - 
  7 a^11 z^5 + a^4 z^6 - 5 a^6 z^6 - 13 a^8 z^6 - 6 a^10 z^6 + 
  a^12 z^6 + 2 a^5 z^7 - a^7 z^7 - a^9 z^7 + 2 a^11 z^7 + 2 a^6 z^8 + 
  4 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + a^9 z^9, 
 5 a^6 + 5 a^8 - a^12 - (3 a^5)/z - (5 a^7)/z - (2 a^9)/z + 
  13 a^5 z + 20 a^7 z + 5 a^9 z - 2 a^11 z - 13 a^6 z^2 - 
  20 a^8 z^2 + 5 a^12 z^2 - 2 a^14 z^2 - 12 a^5 z^3 - 30 a^7 z^3 - 
  6 a^9 z^3 + 9 a^11 z^3 - 3 a^13 z^3 + 9 a^6 z^4 + 21 a^8 z^4 + 
  5 a^10 z^4 - 6 a^12 z^4 + a^14 z^4 + 3 a^5 z^5 + 17 a^7 z^5 + 
  5 a^9 z^5 - 7 a^11 z^5 + 2 a^13 z^5 - 4 a^6 z^6 - 11 a^8 z^6 - 
  4 a^10 z^6 + 3 a^12 z^6 - 5 a^7 z^7 - 2 a^9 z^7 + 3 a^11 z^7 + 
  a^6 z^8 + 3 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + a^9 z^9, 
 5 a^6 + 5 a^8 - a^12 - (3 a^5)/z - (5 a^7)/z - (2 a^9)/z + 
  10 a^5 z + 15 a^7 z + 4 a^9 z - a^11 z - 9 a^6 z^2 - 11 a^8 z^2 + 
  3 a^10 z^2 + 4 a^12 z^2 - a^14 z^2 - 10 a^5 z^3 - 19 a^7 z^3 - 
  a^9 z^3 + 5 a^11 z^3 - 3 a^13 z^3 + 4 a^6 z^4 + 9 a^8 z^4 - 
  3 a^10 z^4 - 7 a^12 z^4 + a^14 z^4 + 3 a^5 z^5 + 8 a^7 z^5 - 
  5 a^9 z^5 - 7 a^11 z^5 + 3 a^13 z^5 - 2 a^6 z^6 - 8 a^8 z^6 - 
  a^10 z^6 + 5 a^12 z^6 - 2 a^7 z^7 + 3 a^9 z^7 + 5 a^11 z^7 + 
  a^6 z^8 + 4 a^8 z^8 + 3 a^10 z^8 + a^7 z^9 + a^9 z^9, 
 5 + 2/a^2 + 3 a^2 - a^4 - 1/(a z) - (2 a)/z + a^5/z + (4 z)/a + 
  10 a z - a^3 z - 5 a^5 z + 2 a^7 z - 18 z^2 - (6 z^2)/a^2 - 
  10 a^2 z^2 + 3 a^4 z^2 + a^6 z^2 - (5 z^3)/a - 13 a z^3 + 
  2 a^3 z^3 + 7 a^5 z^3 - 3 a^7 z^3 + 16 z^4 + (3 z^4)/a^2 + 
  14 a^2 z^4 - 3 a^4 z^4 - 4 a^6 z^4 + z^5/a + 7 a z^5 - 2 a^3 z^5 - 
  7 a^5 z^5 + a^7 z^5 - 6 z^6 - 9 a^2 z^6 - a^4 z^6 + 2 a^6 z^6 + z^7/
  a - a z^7 + a^3 z^7 + 3 a^5 z^7 + 2 z^8 + 4 a^2 z^8 + 2 a^4 z^8 + 
  a z^9 + a^3 z^9, -1 + 2/a^6 + 5/a^4 + 3/a^2 - 1/(a^5 z) - 2/(
  a^3 z) + a/z + z/a^5 - (5 z)/a - 3 a z + a^3 z + 3 z^2 - (6 z^2)/
  a^6 - (12 z^2)/a^4 - (5 z^2)/a^2 + 2 a^2 z^2 - (3 z^3)/a^5 + (
  6 z^3)/a^3 + (14 z^3)/a + 3 a z^3 - 2 a^3 z^3 - 4 z^4 + (3 z^4)/
  a^6 + (10 z^4)/a^4 + (9 z^4)/a^2 - 6 a^2 z^4 + z^5/a^5 - (5 z^5)/
  a^3 - (14 z^5)/a - 7 a z^5 + a^3 z^5 - 2 z^6 - (4 z^6)/a^4 - (
  9 z^6)/a^2 + 3 a^2 z^6 + z^7/a^5 + (2 z^7)/a^3 + (5 z^7)/a + 
  4 a z^7 + 3 z^8 + (2 z^8)/a^4 + (5 z^8)/a^2 + z^9/a^3 + z^9/a, 
 a^6 - a^5/z - a^7/z + a z + 3 a^5 z + a^7 z - 3 a^9 z + a^2 z^2 - 
  2 a^4 z^2 - 7 a^6 z^2 - 4 a^8 z^2 - 2 a^3 z^3 - 4 a^5 z^3 + 
  5 a^7 z^3 + 7 a^9 z^3 + 4 a^4 z^4 + 17 a^6 z^4 + 13 a^8 z^4 + 
  a^3 z^5 + 4 a^5 z^5 - 2 a^7 z^5 - 5 a^9 z^5 - 4 a^4 z^6 - 
  14 a^6 z^6 - 10 a^8 z^6 - 4 a^5 z^7 - 3 a^7 z^7 + a^9 z^7 + 
  a^4 z^8 + 3 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 2/a^10 + 5/a^8 + 3/a^6 - 1/a^4 - 1/(a^9 z) - 2/(a^7 z) + 1/(a^3 z) - 
  z/a^9 - (3 z)/a^7 - (6 z)/a^5 - (4 z)/a^3 - z^2/a^10 - (7 z^2)/
  a^8 - (8 z^2)/a^6 - (2 z^2)/a^4 + (5 z^3)/a^7 + (12 z^3)/a^5 + (
  7 z^3)/a^3 + (7 z^4)/a^8 + (19 z^4)/a^6 + (12 z^4)/a^4 + z^5/a^7 - (
  4 z^5)/a^5 - (5 z^5)/a^3 - (5 z^6)/a^8 - (15 z^6)/a^6 - (10 z^6)/
  a^4 - (4 z^7)/a^7 - (3 z^7)/a^5 + z^7/a^3 + z^8/a^8 + (3 z^8)/
  a^6 + (2 z^8)/a^4 + z^9/a^7 + z^9/a^5, 
 a^2 - a/z - a^3/z - (2 z)/a^3 - (3 z)/a - a^5 z - 10 z^2 + z^2/
  a^4 - (4 z^2)/a^2 - 8 a^2 z^2 - 3 a^4 z^2 + (7 z^3)/a^3 + (10 z^3)/
  a + 3 a z^3 + a^3 z^3 + a^5 z^3 + 30 z^4 - (3 z^4)/a^4 + (12 z^4)/
  a^2 + 18 a^2 z^4 + 3 a^4 z^4 - (10 z^5)/a^3 - (7 z^5)/a + 3 a z^5 - 
  26 z^6 + z^6/a^4 - (14 z^6)/a^2 - 11 a^2 z^6 + (3 z^7)/a^3 - (
  3 z^7)/a - 5 a z^7 + a^3 z^7 + 7 z^8 + (4 z^8)/a^2 + 3 a^2 z^8 + (
  2 z^9)/a + 2 a z^9, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/z + (3 a^5)/z + 
  a^7/z - 2 a z - 6 a^3 z - 5 a^5 z - 2 a^7 z - a^9 z + z^2 - 
  4 a^4 z^2 - 9 a^6 z^2 - 6 a^8 z^2 + 3 a z^3 + 10 a^3 z^3 + 
  10 a^5 z^3 + 7 a^7 z^3 + 4 a^9 z^3 + 16 a^4 z^4 + 34 a^6 z^4 + 
  18 a^8 z^4 - 9 a^3 z^5 - 6 a^5 z^5 - a^7 z^5 - 4 a^9 z^5 + 
  a^2 z^6 - 15 a^4 z^6 - 30 a^6 z^6 - 14 a^8 z^6 + 3 a^3 z^7 - 
  4 a^5 z^7 - 6 a^7 z^7 + a^9 z^7 + 4 a^4 z^8 + 7 a^6 z^8 + 
  3 a^8 z^8 + 2 a^5 z^9 + 2 a^7 z^9, 
 5 + 2/a^2 + 3 a^2 - a^4 - 1/(a z) - (2 a)/z + a^5/z - (2 z)/a^3 + 
  8 a z - 3 a^3 z - 9 a^5 z - 22 z^2 + (3 z^2)/a^4 - (5 z^2)/a^2 - 
  10 a^2 z^2 + 4 a^4 z^2 + (7 z^3)/a^3 + (2 z^3)/a - 13 a z^3 + 
  6 a^3 z^3 + 14 a^5 z^3 + 29 z^4 - (4 z^4)/a^4 + (8 z^4)/a^2 + 
  15 a^2 z^4 - 2 a^4 z^4 - (8 z^5)/a^3 + 13 a z^5 - 2 a^3 z^5 - 
  7 a^5 z^5 - 16 z^6 + z^6/a^4 - (8 z^6)/a^2 - 7 a^2 z^6 + (2 z^7)/
  a^3 - (3 z^7)/a - 6 a z^7 + a^5 z^7 + 3 z^8 + (2 z^8)/a^2 + 
  a^2 z^8 + z^9/a + a z^9, 
 a^6 - a^5/z - a^7/z - 3 a^3 z + 2 a^5 z + 2 a^7 z - 5 a^9 z - 
  2 a^11 z - a^4 z^2 + a^8 z^2 + 2 a^10 z^2 + 2 a^12 z^2 + 
  3 a^3 z^3 + 2 a^7 z^3 + 14 a^9 z^3 + 9 a^11 z^3 + 2 a^4 z^4 - 
  a^6 z^4 + a^8 z^4 + a^10 z^4 - 3 a^12 z^4 - 7 a^7 z^5 - 
  17 a^9 z^5 - 10 a^11 z^5 + a^4 z^6 - 9 a^8 z^6 - 7 a^10 z^6 + 
  a^12 z^6 + 2 a^5 z^7 + 3 a^7 z^7 + 4 a^9 z^7 + 3 a^11 z^7 + 
  2 a^6 z^8 + 5 a^8 z^8 + 3 a^10 z^8 + a^7 z^9 + a^9 z^9, 
 a^6 - a^5/z - a^7/z - a z - 3 a^3 z + 2 a^5 z - 4 a^9 z + z^2 + 
  a^2 z^2 - 3 a^6 z^2 - 3 a^8 z^2 + 3 a z^3 + 4 a^3 z^3 + 3 a^5 z^3 + 
  10 a^7 z^3 + 8 a^9 z^3 + 11 a^6 z^4 + 11 a^8 z^4 - 4 a^3 z^5 - 
  7 a^5 z^5 - 8 a^7 z^5 - 5 a^9 z^5 + a^2 z^6 - 4 a^4 z^6 - 
  14 a^6 z^6 - 9 a^8 z^6 + 2 a^3 z^7 - a^7 z^7 + a^9 z^7 + 
  2 a^4 z^8 + 4 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 5 a^10 + 5 a^12 - a^16 - (3 a^9)/z - (5 a^11)/z - (2 a^13)/z - 
  5 a^7 z + 10 a^9 z + 21 a^11 z + 4 a^13 z - 2 a^15 z - 
  17 a^10 z^2 - 19 a^12 z^2 + 4 a^14 z^2 + 6 a^16 z^2 + 10 a^7 z^3 - 
  12 a^9 z^3 - 31 a^11 z^3 - 3 a^13 z^3 + 6 a^15 z^3 + 5 a^8 z^4 + 
  24 a^10 z^4 + 19 a^12 z^4 - 5 a^14 z^4 - 5 a^16 z^4 - 6 a^7 z^5 + 
  11 a^9 z^5 + 22 a^11 z^5 - 5 a^15 z^5 - 5 a^8 z^6 - 13 a^10 z^6 - 
  8 a^12 z^6 + a^14 z^6 + a^16 z^6 + a^7 z^7 - 6 a^9 z^7 - 
  8 a^11 z^7 + a^15 z^7 + a^8 z^8 + 2 a^10 z^8 + a^12 z^8 + a^9 z^9 + 
  a^11 z^9, 
 5 + 2/a^2 + 3 a^2 - a^4 - 1/(a z) - (2 a)/z + a^5/z + (6 z)/a + 
  13 a z - 4 a^5 z + 3 a^7 z - 25 z^2 - (11 z^2)/a^2 - 13 a^2 z^2 + 
  2 a^4 z^2 + a^6 z^2 - (13 z^3)/a - 22 a z^3 + 5 a^5 z^3 - 
  4 a^7 z^3 + 33 z^4 + (15 z^4)/a^2 + 18 a^2 z^4 - 3 a^4 z^4 - 
  3 a^6 z^4 + (15 z^5)/a + 20 a z^5 - 4 a^5 z^5 + a^7 z^5 - 15 z^6 - (
  7 z^6)/a^2 - 8 a^2 z^6 + a^4 z^6 + a^6 z^6 - (7 z^7)/a - 8 a z^7 + 
  a^5 z^7 + 2 z^8 + z^8/a^2 + a^2 z^8 + z^9/a + a z^9, 
 a^6 - a^5/z - a^7/z + 8 a^5 z + 7 a^7 z + 2 a^11 z + a^13 z - 
  4 a^6 z^2 - 6 a^8 z^2 - a^10 z^2 - a^14 z^2 - 10 a^5 z^3 - 
  11 a^7 z^3 + 3 a^9 z^3 - 4 a^13 z^3 + 2 a^6 z^4 + 11 a^8 z^4 + 
  4 a^10 z^4 - 4 a^12 z^4 + a^14 z^4 + 3 a^5 z^5 + 5 a^7 z^5 - 
  5 a^9 z^5 - 4 a^11 z^5 + 3 a^13 z^5 - 2 a^6 z^6 - 10 a^8 z^6 - 
  4 a^10 z^6 + 4 a^12 z^6 - 2 a^7 z^7 + 2 a^9 z^7 + 4 a^11 z^7 + 
  a^6 z^8 + 4 a^8 z^8 + 3 a^10 z^8 + a^7 z^9 + a^9 z^9, 
 a^6 - a^5/z - a^7/z + 2 a^3 z + 9 a^5 z + 5 a^7 z + 2 a^11 z - 
  2 a^2 z^2 - 5 a^4 z^2 - 10 a^6 z^2 - 5 a^8 z^2 + 2 a^10 z^2 - 
  6 a^3 z^3 - 14 a^5 z^3 - 6 a^7 z^3 - a^9 z^3 - 3 a^11 z^3 + 
  a^2 z^4 + 7 a^4 z^4 + 18 a^6 z^4 + 7 a^8 z^4 - 5 a^10 z^4 + 
  3 a^3 z^5 + 12 a^5 z^5 + 5 a^7 z^5 - 3 a^9 z^5 + a^11 z^5 - 
  3 a^4 z^6 - 10 a^6 z^6 - 5 a^8 z^6 + 2 a^10 z^6 - 4 a^5 z^7 - 
  2 a^7 z^7 + 2 a^9 z^7 + a^4 z^8 + 3 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + 
  a^7 z^9, 5 a^10 + 5 a^12 - a^16 - (3 a^9)/z - (5 a^11)/z - (2 a^13)/
  z + 20 a^9 z + 26 a^11 z + 5 a^13 z + a^17 z - 22 a^10 z^2 - 
  24 a^12 z^2 + 3 a^14 z^2 + 3 a^16 z^2 - 2 a^18 z^2 - 37 a^9 z^3 - 
  45 a^11 z^3 - 3 a^13 z^3 + a^15 z^3 - 4 a^17 z^3 + 24 a^10 z^4 + 
  26 a^12 z^4 - 3 a^14 z^4 - 4 a^16 z^4 + a^18 z^4 + 28 a^9 z^5 + 
  33 a^11 z^5 + 2 a^13 z^5 - a^15 z^5 + 2 a^17 z^5 - 9 a^10 z^6 - 
  9 a^12 z^6 + 2 a^14 z^6 + 2 a^16 z^6 - 9 a^9 z^7 - 10 a^11 z^7 + 
  a^15 z^7 + a^10 z^8 + a^12 z^8 + a^9 z^9 + a^11 z^9, -(1/a^8) + 5/
  a^4 + 5/a^2 - 2/(a^5 z) - 5/(a^3 z) - 3/(a z) + (3 z)/a^5 + (10 z)/
  a^3 + (7 z)/a + (3 z^2)/a^8 + (6 z^2)/a^6 - (2 z^2)/a^4 - (5 z^2)/
  a^2 + (6 z^3)/a^7 + (2 z^3)/a^5 - (14 z^3)/a^3 - (9 z^3)/a + 
  a z^3 + 3 z^4 - (3 z^4)/a^8 - (3 z^4)/a^6 - (3 z^4)/a^4 - (9 z^5)/
  a^7 - (11 z^5)/a^5 + (5 z^5)/a^3 + (7 z^5)/a + z^6/a^8 - (6 z^6)/
  a^6 - (5 z^6)/a^4 + (2 z^6)/a^2 + (3 z^7)/a^7 + (3 z^7)/a^5 + (
  3 z^8)/a^6 + (4 z^8)/a^4 + z^8/a^2 + z^9/a^5 + z^9/a^3, -1 + 2/
  a^6 + 5/a^4 + 3/a^2 - 1/(a^5 z) - 2/(a^3 z) + a/z + z/a^5 + (3 z)/
  a^3 - 2 a z - 2 z^2 - (5 z^2)/a^6 - (15 z^2)/a^4 - (12 z^2)/a^2 - (
  5 z^3)/a^5 - z^3/a^3 + (12 z^3)/a + 7 a z^3 - a^3 z^3 + 5 z^4 + (
  3 z^4)/a^6 + (14 z^4)/a^4 + (22 z^4)/a^2 - 6 a^2 z^4 + (3 z^5)/
  a^5 - (18 z^5)/a - 14 a z^5 + a^3 z^5 - 10 z^6 - (6 z^6)/a^4 - (
  20 z^6)/a^2 + 4 a^2 z^6 + z^7/a^5 + (6 z^7)/a + 7 a z^7 + 6 z^8 + (
  3 z^8)/a^4 + (9 z^8)/a^2 + (2 z^9)/a^3 + (2 z^9)/a, -1 + 3 a^2 + 
  5 a^4 + 2 a^6 + 1/(a z) - (2 a^3)/z - a^5/z - (4 z)/a - 3 a z + 
  2 a^3 z - a^7 z - z^2 - 11 a^2 z^2 - 18 a^4 z^2 - 6 a^6 z^2 + 
  2 a^8 z^2 + (3 z^3)/a + 8 a z^3 + 4 a^3 z^3 + 5 a^5 z^3 + 
  6 a^7 z^3 + 2 z^4 + 18 a^2 z^4 + 29 a^4 z^4 + 10 a^6 z^4 - 
  3 a^8 z^4 - 5 a z^5 - 4 a^3 z^5 - 8 a^5 z^5 - 9 a^7 z^5 + z^6 - 
  11 a^2 z^6 - 25 a^4 z^6 - 12 a^6 z^6 + a^8 z^6 + 3 a z^7 - a^3 z^7 -
   a^5 z^7 + 3 a^7 z^7 + 4 a^2 z^8 + 8 a^4 z^8 + 4 a^6 z^8 + 
  2 a^3 z^9 + 2 a^5 z^9, 
 1/a^2 - 1/(a^3 z) - 1/(a z) + (3 z)/a^5 + (6 z)/a^3 + (2 z)/a - 
  a z - (3 z^2)/a^6 - (4 z^2)/a^4 - (2 z^2)/a^2 + a^2 z^2 - (9 z^3)/
  a^5 - (9 z^3)/a^3 + (7 z^3)/a + 6 a z^3 - a^3 z^3 + z^4 + (3 z^4)/
  a^6 + (5 z^4)/a^4 + (9 z^4)/a^2 - 6 a^2 z^4 + (5 z^5)/a^5 + (2 z^5)/
  a^3 - (17 z^5)/a - 13 a z^5 + a^3 z^5 - 8 z^6 - (3 z^6)/a^4 - (
  15 z^6)/a^2 + 4 a^2 z^6 + z^7/a^5 + z^7/a^3 + (7 z^7)/a + 7 a z^7 + 
  6 z^8 + (3 z^8)/a^4 + (9 z^8)/a^2 + (2 z^9)/a^3 + (2 z^9)/a, 
 a^6 + a^3/z + (2 a^5)/z + (2 a^7)/z + a^9/z - 5 a^3 z - 9 a^5 z - 
  9 a^7 z - 3 a^9 z + 2 a^11 z - 2 a^4 z^2 - 8 a^6 z^2 - 6 a^8 z^2 + 
  8 a^3 z^3 + 19 a^5 z^3 + 15 a^7 z^3 + 4 a^9 z^3 + 10 a^4 z^4 + 
  19 a^6 z^4 + 10 a^8 z^4 + a^10 z^4 - 5 a^3 z^5 - 11 a^5 z^5 - 
  9 a^7 z^5 - 3 a^9 z^5 - 9 a^4 z^6 - 17 a^6 z^6 - 8 a^8 z^6 + 
  a^3 z^7 - a^5 z^7 - a^7 z^7 + a^9 z^7 + 2 a^4 z^8 + 4 a^6 z^8 + 
  2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 a^6 + a^3/z + (2 a^5)/z + (2 a^7)/z + a^9/z - 4 a^3 z - 7 a^5 z - 
  9 a^7 z - 5 a^9 z + a^11 z - a^4 z^2 - 9 a^6 z^2 - 11 a^8 z^2 - 
  3 a^10 z^2 + 3 a^3 z^3 + 10 a^5 z^3 + 17 a^7 z^3 + 17 a^9 z^3 + 
  7 a^11 z^3 + 2 a^4 z^4 + 16 a^6 z^4 + 27 a^8 z^4 + 11 a^10 z^4 - 
  2 a^12 z^4 - 5 a^5 z^5 - 12 a^7 z^5 - 19 a^9 z^5 - 12 a^11 z^5 + 
  a^4 z^6 - 10 a^6 z^6 - 27 a^8 z^6 - 15 a^10 z^6 + a^12 z^6 + 
  3 a^5 z^7 + a^7 z^7 + 2 a^9 z^7 + 4 a^11 z^7 + 4 a^6 z^8 + 
  9 a^8 z^8 + 5 a^10 z^8 + 2 a^7 z^9 + 2 a^9 z^9, -3 a^8 - 3 a^10 - 
  a^12 + (2 a^7)/z + (3 a^9)/z + a^11/z - 8 a^7 z - 7 a^9 z - 
  a^13 z + 5 a^8 z^2 - 3 a^10 z^2 - 8 a^12 z^2 + 11 a^7 z^3 + 
  6 a^9 z^3 + a^11 z^3 + 6 a^13 z^3 + a^8 z^4 + 18 a^10 z^4 + 
  17 a^12 z^4 - 6 a^7 z^5 + a^9 z^5 + 2 a^11 z^5 - 5 a^13 z^5 - 
  4 a^8 z^6 - 15 a^10 z^6 - 11 a^12 z^6 + a^7 z^7 - 4 a^9 z^7 - 
  4 a^11 z^7 + a^13 z^7 + a^8 z^8 + 3 a^10 z^8 + 2 a^12 z^8 + 
  a^9 z^9 + a^11 z^9, 
 1/a^2 - 1/(a^3 z) - 1/(a z) - z/a^9 - z/a^7 - z/a^5 - (2 z)/a^3 - z/
  a + z^2 - (5 z^2)/a^8 - (6 z^2)/a^6 + (2 z^2)/a^2 + (3 z^3)/a^9 + (
  4 z^3)/a^7 + (12 z^3)/a^5 + (19 z^3)/a^3 + (8 z^3)/a - 2 z^4 + (
  6 z^4)/a^8 + (10 z^4)/a^6 + (8 z^4)/a^4 + (2 z^4)/a^2 - (3 z^5)/
  a^7 - (19 z^5)/a^5 - (27 z^5)/a^3 - (11 z^5)/a + z^6 + z^6/a^8 - (
  8 z^6)/a^6 - (21 z^6)/a^4 - (11 z^6)/a^2 + (4 z^7)/a^7 + (6 z^7)/
  a^5 + (6 z^7)/a^3 + (4 z^7)/a + (5 z^8)/a^6 + (10 z^8)/a^4 + (
  5 z^8)/a^2 + (2 z^9)/a^5 + (2 z^9)/a^3, 
 a^2 - a/z - a^3/z + 4 a z + 6 a^3 z + a^5 z - a^7 z - z^2 - a^2 z^2 -
   a^4 z^2 + a^6 z^2 + 2 a^8 z^2 + z^3/a - 7 a z^3 - 12 a^3 z^3 + 
  4 a^5 z^3 + 8 a^7 z^3 + 3 z^4 + 3 a^4 z^4 + 3 a^6 z^4 - 3 a^8 z^4 + 
  6 a z^5 + 6 a^3 z^5 - 10 a^5 z^5 - 10 a^7 z^5 + a^2 z^6 - 
  8 a^4 z^6 - 8 a^6 z^6 + a^8 z^6 - a^3 z^7 + 2 a^5 z^7 + 3 a^7 z^7 + 
  a^2 z^8 + 4 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 a^2 + 1/(a z) + (2 a)/z + (2 a^3)/z + a^5/z - z/a - 7 a z - 
  11 a^3 z - 5 a^5 z - 3 z^2 - z^2/a^2 - 6 a^2 z^2 - 3 a^4 z^2 + 
  a^6 z^2 - (5 z^3)/a + 5 a z^3 + 23 a^3 z^3 + 11 a^5 z^3 - 
  2 a^7 z^3 + 2 z^4 + z^4/a^2 + 15 a^2 z^4 + 8 a^4 z^4 - 6 a^6 z^4 + (
  4 z^5)/a - 18 a^3 z^5 - 13 a^5 z^5 + a^7 z^5 - 12 a^2 z^6 - 
  9 a^4 z^6 + 3 a^6 z^6 + 5 a^3 z^7 + 5 a^5 z^7 + z^8 + 5 a^2 z^8 + 
  4 a^4 z^8 + a z^9 + a^3 z^9, 
 a^6 - a^5/z - a^7/z - (2 z)/a - 2 a z - 2 a^3 z + 3 a^5 z + 
  5 a^7 z - 7 z^2 - 8 a^2 z^2 - 3 a^4 z^2 - 2 a^6 z^2 + (6 z^3)/a + 
  6 a z^3 + 2 a^3 z^3 - 3 a^5 z^3 - 5 a^7 z^3 + 16 z^4 + 24 a^2 z^4 + 
  8 a^4 z^4 - (5 z^5)/a + 4 a^3 z^5 + a^7 z^5 - 11 z^6 - 17 a^2 z^6 - 
  6 a^4 z^6 + z^7/a - 4 a z^7 - 5 a^3 z^7 + 2 z^8 + 3 a^2 z^8 + 
  a^4 z^8 + a z^9 + a^3 z^9, -1 - 3 a^2 - 3 a^4 + a/z + (3 a^3)/z + (
  2 a^5)/z + z/a^3 + z/a - 9 a^3 z - 9 a^5 z + 3 z^2 + (5 z^2)/a^2 + 
  4 a^2 z^2 + 6 a^4 z^2 - (3 z^3)/a^3 - z^3/a - 3 a z^3 + 9 a^3 z^3 + 
  14 a^5 z^3 - 5 z^4 - (7 z^4)/a^2 - 2 a^4 z^4 + z^5/a^3 - (2 z^5)/
  a + 2 a z^5 - 2 a^3 z^5 - 7 a^5 z^5 + 2 z^6 + (2 z^6)/a^2 + z^7/a + 
  a^5 z^7, 5 + 2/a^2 + 3 a^2 - a^4 - 1/(a z) - (2 a)/z + a^5/z + (
  3 z)/a + 9 a z - 2 a^3 z - 8 a^5 z - 20 z^2 - (5 z^2)/a^2 - 
  14 a^2 z^2 + a^4 z^2 - (7 z^3)/a - 15 a z^3 + 10 a^3 z^3 + 
  16 a^5 z^3 - 2 a^7 z^3 + 19 z^4 + (3 z^4)/a^2 + 27 a^2 z^4 + 
  6 a^4 z^4 - 5 a^6 z^4 + (3 z^5)/a + 10 a z^5 - 10 a^3 z^5 - 
  16 a^5 z^5 + a^7 z^5 - 8 z^6 - 21 a^2 z^6 - 10 a^4 z^6 + 3 a^6 z^6 +
   z^7/a - 3 a z^7 + 2 a^3 z^7 + 6 a^5 z^7 + 3 z^8 + 8 a^2 z^8 + 
  5 a^4 z^8 + 2 a z^9 + 2 a^3 z^9, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/
  z + (3 a^5)/z + a^7/z - 5 a^3 z - 7 a^5 z - 2 a^7 z - a^9 z - 
  a^11 z + 3 a^4 z^2 + 4 a^6 z^2 - 2 a^8 z^2 - a^10 z^2 + 
  2 a^12 z^2 + 3 a^3 z^3 + 8 a^5 z^3 + 6 a^7 z^3 + 9 a^9 z^3 + 
  8 a^11 z^3 + a^6 z^4 + 8 a^8 z^4 + 4 a^10 z^4 - 3 a^12 z^4 - 
  3 a^5 z^5 - 7 a^7 z^5 - 14 a^9 z^5 - 10 a^11 z^5 + a^4 z^6 - 
  2 a^6 z^6 - 12 a^8 z^6 - 8 a^10 z^6 + a^12 z^6 + 2 a^5 z^7 + 
  2 a^7 z^7 + 3 a^9 z^7 + 3 a^11 z^7 + 2 a^6 z^8 + 5 a^8 z^8 + 
  3 a^10 z^8 + a^7 z^9 + a^9 z^9, -1 - 3 a^2 - 3 a^4 + a/z + (3 a^3)/
  z + (2 a^5)/z - 2 a z - 10 a^3 z - 7 a^5 z - 2 a^7 z - 3 a^9 z + 
  z^2 + 6 a^2 z^2 + 2 a^4 z^2 - 9 a^6 z^2 - 6 a^8 z^2 + 2 a z^3 + 
  13 a^3 z^3 + 14 a^5 z^3 + 10 a^7 z^3 + 7 a^9 z^3 - 3 a^2 z^4 + 
  5 a^4 z^4 + 22 a^6 z^4 + 14 a^8 z^4 - 8 a^3 z^5 - 9 a^5 z^5 - 
  6 a^7 z^5 - 5 a^9 z^5 + a^2 z^6 - 7 a^4 z^6 - 18 a^6 z^6 - 
  10 a^8 z^6 + 2 a^3 z^7 - a^5 z^7 - 2 a^7 z^7 + a^9 z^7 + 
  2 a^4 z^8 + 4 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, -3 - 1/a^4 - 
  3/a^2 + 1/(a^3 z) + 3/(a z) + (2 a)/z - (3 z)/a^3 - (7 z)/a - 
  4 a z - a^3 z - a^5 z - 2 z^2 + (4 z^2)/a^4 + (5 z^2)/a^2 - 
  6 a^2 z^2 - 3 a^4 z^2 + (6 z^3)/a^3 + (10 z^3)/a + 6 a z^3 + 
  3 a^3 z^3 + a^5 z^3 + 13 z^4 - (4 z^4)/a^4 - z^4/a^2 + 13 a^2 z^4 + 
  3 a^4 z^4 - (7 z^5)/a^3 - (8 z^5)/a - 2 a z^5 - a^3 z^5 - 13 z^6 + 
  z^6/a^4 - (5 z^6)/a^2 - 7 a^2 z^6 + (2 z^7)/a^3 - a z^7 + a^3 z^7 + 
  4 z^8 + (2 z^8)/a^2 + 2 a^2 z^8 + z^9/a + a z^9, 
 a^2 - a/z - a^3/z - (3 z)/a - 4 a z + a^5 z + (2 z^2)/a^2 - 
  4 a^2 z^2 - 4 a^4 z^2 - 2 a^6 z^2 - (2 z^3)/a^3 + (7 z^3)/a + 
  14 a z^3 - 5 a^5 z^3 + 3 z^4 - (7 z^4)/a^2 + 14 a^2 z^4 + 
  5 a^4 z^4 + a^6 z^4 + z^5/a^3 - (10 z^5)/a - 10 a z^5 + 4 a^3 z^5 + 
  3 a^5 z^5 - 6 z^6 + (3 z^6)/a^2 - 11 a^2 z^6 - 2 a^4 z^6 + (4 z^7)/
  a + 2 a z^7 - 2 a^3 z^7 + 3 z^8 + 4 a^2 z^8 + a^4 z^8 + a z^9 + 
  a^3 z^9, 1/a^2 - 1/(a^3 z) - 1/(a z) - (4 z)/a^7 - (4 z)/a^5 + (
  5 z)/a^3 + (5 z)/a - z^2/a^10 + (2 z^2)/a^8 - (2 z^2)/a^4 + z^2/
  a^2 - (3 z^3)/a^9 + (11 z^3)/a^7 + (15 z^3)/a^5 - (7 z^3)/a^3 - (
  8 z^3)/a + z^4/a^10 - (6 z^4)/a^8 + (3 z^4)/a^6 + (6 z^4)/a^4 - (
  4 z^4)/a^2 + (3 z^5)/a^9 - (11 z^5)/a^7 - (17 z^5)/a^5 + (3 z^5)/
  a + (5 z^6)/a^8 - (5 z^6)/a^6 - (10 z^6)/a^4 + (6 z^7)/a^7 + (
  6 z^7)/a^5 + (4 z^8)/a^6 + (5 z^8)/a^4 + z^8/a^2 + z^9/a^5 + z^9/
  a^3, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/z + (3 a^5)/z + a^7/z + a z - 
  7 a^3 z - 14 a^5 z - 5 a^7 z + a^9 z + a^2 z^2 + 5 a^4 z^2 + 
  10 a^6 z^2 + 2 a^8 z^2 - 4 a^10 z^2 - 2 a z^3 + 8 a^3 z^3 + 
  28 a^5 z^3 + 12 a^7 z^3 - 6 a^9 z^3 - 5 a^2 z^4 - 3 a^4 z^4 - 
  3 a^6 z^4 - 2 a^8 z^4 + 3 a^10 z^4 + a z^5 - 10 a^3 z^5 - 
  26 a^5 z^5 - 12 a^7 z^5 + 3 a^9 z^5 + 3 a^2 z^6 - 4 a^4 z^6 - 
  7 a^6 z^6 + 5 a^3 z^7 + 9 a^5 z^7 + 5 a^7 z^7 + a^9 z^7 + 
  4 a^4 z^8 + 6 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, -1 - 3 a^2 - 
  3 a^4 + a/z + (3 a^3)/z + (2 a^5)/z - z/a^3 - (2 z)/a - a z - 
  10 a^3 z - 10 a^5 z - 11 z^2 + z^2/a^4 - (3 z^2)/a^2 + 7 a^4 z^2 + (
  8 z^3)/a^3 + (12 z^3)/a + a z^3 + 11 a^3 z^3 + 14 a^5 z^3 + 
  25 z^4 - (3 z^4)/a^4 + (9 z^4)/a^2 + 10 a^2 z^4 - 3 a^4 z^4 - (
  11 z^5)/a^3 - (11 z^5)/a + 4 a z^5 - 3 a^3 z^5 - 7 a^5 z^5 - 
  18 z^6 + z^6/a^4 - (11 z^6)/a^2 - 6 a^2 z^6 + (3 z^7)/a^3 - 
  4 a z^7 + a^5 z^7 + 4 z^8 + (3 z^8)/a^2 + a^2 z^8 + z^9/a + 
  a z^9, -3 a^8 - 3 a^10 - a^12 + (2 a^7)/z + (3 a^9)/z + a^11/z - 
  2 a^3 z - 7 a^7 z - 12 a^9 z - 3 a^11 z - 3 a^4 z^2 - 2 a^6 z^2 + 
  9 a^8 z^2 + 11 a^10 z^2 + 3 a^12 z^2 + 3 a^3 z^3 + 3 a^5 z^3 + 
  16 a^7 z^3 + 24 a^9 z^3 + 8 a^11 z^3 + 4 a^4 z^4 + 2 a^6 z^4 - 
  7 a^8 z^4 - 8 a^10 z^4 - 3 a^12 z^4 - 2 a^5 z^5 - 19 a^7 z^5 - 
  26 a^9 z^5 - 9 a^11 z^5 + a^4 z^6 - 2 a^6 z^6 - 8 a^8 z^6 - 
  4 a^10 z^6 + a^12 z^6 + 3 a^5 z^7 + 7 a^7 z^7 + 7 a^9 z^7 + 
  3 a^11 z^7 + 3 a^6 z^8 + 6 a^8 z^8 + 3 a^10 z^8 + a^7 z^9 + 
  a^9 z^9, -3 - 1/a^4 - 3/a^2 + 1/(a^3 z) + 3/(a z) + (2 a)/z - z/
  a^7 - (3 z)/a^5 - (8 z)/a^3 - (13 z)/a - 7 a z + 2 z^2 + z^2/a^8 - 
  z^2/a^6 + (4 z^2)/a^2 + (3 z^3)/a^7 + (8 z^3)/a^5 + (23 z^3)/a^3 + (
  27 z^3)/a + 9 a z^3 + 7 z^4 + z^4/a^6 + (4 z^4)/a^4 + (10 z^4)/
  a^2 - (8 z^5)/a^5 - (21 z^5)/a^3 - (18 z^5)/a - 5 a z^5 - 8 z^6 + 
  z^6/a^6 - (8 z^6)/a^4 - (17 z^6)/a^2 + (3 z^7)/a^5 + (3 z^7)/a^3 + 
  z^7/a + a z^7 + 2 z^8 + (3 z^8)/a^4 + (5 z^8)/a^2 + z^9/a^3 + z^9/a,
  1/a^2 - 1/(a^3 z) - 1/(a z) - z/a^5 - 3 a z - 2 a^3 z - 4 z^2 - (
  2 z^2)/a^4 - (4 z^2)/a^2 + 2 a^4 z^2 + z^3/a^5 + (2 z^3)/a^3 + (
  6 z^3)/a + 13 a z^3 + 8 a^3 z^3 + 12 z^4 + (3 z^4)/a^4 + (9 z^4)/
  a^2 + 3 a^2 z^4 - 3 a^4 z^4 - (6 z^5)/a - 16 a z^5 - 10 a^3 z^5 - 
  14 z^6 - (5 z^6)/a^2 - 8 a^2 z^6 + a^4 z^6 + z^7/a^3 + z^7/a + 
  3 a z^7 + 3 a^3 z^7 + 5 z^8 + (2 z^8)/a^2 + 3 a^2 z^8 + z^9/a + 
  a z^9, a^6 - a^5/z - a^7/z - 2 a^3 z + 3 a^5 z + 3 a^7 z - 
  2 a^9 z - 2 a^4 z^2 - 4 a^6 z^2 - a^8 z^2 + 2 a^10 z^2 + a^12 z^2 + 
  3 a^3 z^3 - a^5 z^3 + a^7 z^3 + 12 a^9 z^3 + 7 a^11 z^3 + 
  4 a^4 z^4 + 6 a^6 z^4 + 8 a^8 z^4 + 4 a^10 z^4 - 2 a^12 z^4 - 
  9 a^7 z^5 - 20 a^9 z^5 - 11 a^11 z^5 + a^4 z^6 - 5 a^6 z^6 - 
  19 a^8 z^6 - 12 a^10 z^6 + a^12 z^6 + 3 a^5 z^7 + 3 a^7 z^7 + 
  4 a^9 z^7 + 4 a^11 z^7 + 4 a^6 z^8 + 9 a^8 z^8 + 5 a^10 z^8 + 
  2 a^7 z^9 + 2 a^9 z^9, 
 a^2 - a/z - a^3/z + (5 z)/a + 9 a z + 3 a^3 z + a^7 z - 5 z^2 - (
  4 z^2)/a^2 - 3 a^2 z^2 + a^4 z^2 + 3 a^6 z^2 - (8 z^3)/a - 
  11 a z^3 + a^5 z^3 - 2 a^7 z^3 + 5 z^4 + (3 z^4)/a^2 + 4 a^2 z^4 - 
  4 a^4 z^4 - 6 a^6 z^4 + (3 z^5)/a + 2 a z^5 - 8 a^3 z^5 - 
  6 a^5 z^5 + a^7 z^5 - 2 z^6 - 6 a^2 z^6 - a^4 z^6 + 3 a^6 z^6 + z^7/
  a + 2 a z^7 + 5 a^3 z^7 + 4 a^5 z^7 + 2 z^8 + 5 a^2 z^8 + 
  3 a^4 z^8 + a z^9 + a^3 z^9, 
 a^6 - a^5/z - a^7/z + 6 a^5 z + 4 a^7 z - a^9 z + a^11 z - a^2 z^2 - 
  2 a^4 z^2 - 3 a^6 z^2 + 2 a^10 z^2 - 5 a^3 z^3 - 10 a^5 z^3 - 
  a^7 z^3 + 2 a^9 z^3 - 2 a^11 z^3 + a^2 z^4 + 2 a^4 z^4 + 6 a^6 z^4 -
   a^8 z^4 - 6 a^10 z^4 + 4 a^3 z^5 + 7 a^5 z^5 - 5 a^7 z^5 - 
  7 a^9 z^5 + a^11 z^5 - 6 a^6 z^6 - 3 a^8 z^6 + 3 a^10 z^6 - 
  a^5 z^7 + 3 a^7 z^7 + 4 a^9 z^7 + a^4 z^8 + 4 a^6 z^8 + 3 a^8 z^8 + 
  a^5 z^9 + a^7 z^9, 
 a^6 - a^5/z - a^7/z + a z - a^3 z + 4 a^5 z + 6 a^7 z + 2 z^2 + 
  7 a^2 z^2 + 4 a^4 z^2 - a^6 z^2 - (3 z^3)/a + 7 a^3 z^3 - 
  4 a^5 z^3 - 8 a^7 z^3 - 8 z^4 + z^4/a^2 - 12 a^2 z^4 - 5 a^4 z^4 - 
  2 a^6 z^4 + (4 z^5)/a - 7 a z^5 - 16 a^3 z^5 - 2 a^5 z^5 + 
  3 a^7 z^5 + 7 z^6 + 2 a^2 z^6 - 5 a^4 z^6 + 7 a z^7 + 8 a^3 z^7 + 
  a^5 z^7 + 4 a^2 z^8 + 5 a^4 z^8 + a^6 z^8 + a^3 z^9 + 
  a^5 z^9, -3 a^4 - 3 a^6 - a^8 + (2 a^3)/z + (3 a^5)/z + a^7/z - (
  2 z)/a + a^3 z - 4 a^5 z - 3 a^7 z - 7 z^2 - 12 a^2 z^2 - 
  4 a^4 z^2 + 7 a^6 z^2 + 6 a^8 z^2 + (6 z^3)/a + 5 a z^3 - 
  6 a^3 z^3 + a^5 z^3 + 6 a^7 z^3 + 16 z^4 + 28 a^2 z^4 + 
  11 a^4 z^4 - 6 a^6 z^4 - 5 a^8 z^4 - (5 z^5)/a + 9 a^3 z^5 - 
  a^5 z^5 - 5 a^7 z^5 - 11 z^6 - 18 a^2 z^6 - 7 a^4 z^6 + a^6 z^6 + 
  a^8 z^6 + z^7/a - 4 a z^7 - 6 a^3 z^7 + a^7 z^7 + 2 z^8 + 
  3 a^2 z^8 + a^4 z^8 + a z^9 + a^3 z^9, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z - (2 z)/a^3 + z/
  a + 11 a z + 6 a^3 z - 2 a^5 z - 14 z^2 + (3 z^2)/a^4 - (4 z^2)/
  a^2 - 8 a^2 z^2 - a^4 z^2 + (7 z^3)/a^3 - 13 a z^3 - 5 a^3 z^3 + 
  a^5 z^3 + 22 z^4 - (4 z^4)/a^4 + (8 z^4)/a^2 + 11 a^2 z^4 + 
  a^4 z^4 - (8 z^5)/a^3 + z^5/a + 11 a z^5 + 2 a^3 z^5 - 14 z^6 + z^6/
  a^4 - (8 z^6)/a^2 - 5 a^2 z^6 + (2 z^7)/a^3 - (3 z^7)/a - 5 a z^7 + 
  3 z^8 + (2 z^8)/a^2 + a^2 z^8 + z^9/a + a z^9, 
 3 a^10 + 3 a^12 + a^14 - (2 a^9)/z - (3 a^11)/z - a^13/z - 5 a^7 z + 
  8 a^9 z + 14 a^11 z + a^13 z - 12 a^10 z^2 - 13 a^12 z^2 - 
  a^14 z^2 + 10 a^7 z^3 - 11 a^9 z^3 - 22 a^11 z^3 - a^13 z^3 + 
  5 a^8 z^4 + 20 a^10 z^4 + 15 a^12 z^4 - 6 a^7 z^5 + 11 a^9 z^5 + 
  17 a^11 z^5 - 5 a^8 z^6 - 12 a^10 z^6 - 7 a^12 z^6 + a^7 z^7 - 
  6 a^9 z^7 - 7 a^11 z^7 + a^8 z^8 + 2 a^10 z^8 + a^12 z^8 + a^9 z^9 +
   a^11 z^9, -a^4 + a^3/z + a^5/z - a z - 2 a^3 z + a^5 z - 2 a^9 z + 
  z^2 + a^2 z^2 - a^4 z^2 - 8 a^6 z^2 - 7 a^8 z^2 + 3 a z^3 + 
  3 a^3 z^3 - a^5 z^3 + 6 a^7 z^3 + 7 a^9 z^3 + 3 a^4 z^4 + 
  18 a^6 z^4 + 15 a^8 z^4 - 4 a^3 z^5 - 3 a^5 z^5 - 4 a^7 z^5 - 
  5 a^9 z^5 + a^2 z^6 - 5 a^4 z^6 - 16 a^6 z^6 - 10 a^8 z^6 + 
  2 a^3 z^7 - a^5 z^7 - 2 a^7 z^7 + a^9 z^7 + 2 a^4 z^8 + 4 a^6 z^8 + 
  2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 a^2 + 3 a^4 + 3 a^6 - a^3/z - (3 a^5)/z - (2 a^7)/z - a z - a^3 z + 
  12 a^5 z + 6 a^7 z - 6 a^9 z + z^2 - 11 a^4 z^2 - 9 a^6 z^2 + 
  a^8 z^2 + 3 a z^3 + 5 a^3 z^3 - 15 a^5 z^3 - 6 a^7 z^3 + 
  11 a^9 z^3 + 11 a^4 z^4 + 14 a^6 z^4 + 3 a^8 z^4 - 5 a^3 z^5 + 
  6 a^5 z^5 + 5 a^7 z^5 - 6 a^9 z^5 + a^2 z^6 - 7 a^4 z^6 - 
  12 a^6 z^6 - 4 a^8 z^6 + 2 a^3 z^7 - 3 a^5 z^7 - 4 a^7 z^7 + 
  a^9 z^7 + 2 a^4 z^8 + 3 a^6 z^8 + a^8 z^8 + a^5 z^9 + a^7 z^9, -1 + 
  1/(a z) + a/z - z/a^3 + (2 z)/a + 6 a z + 2 a^3 z - a^5 z - 6 z^2 + 
  z^2/a^4 - z^2/a^2 - 11 a^2 z^2 - 7 a^4 z^2 + (2 z^3)/a^3 - (6 z^3)/
  a - 15 a z^3 - a^3 z^3 + 6 a^5 z^3 + 7 z^4 + (2 z^4)/a^2 + 
  22 a^2 z^4 + 17 a^4 z^4 + (3 z^5)/a + 11 a z^5 + 3 a^3 z^5 - 
  5 a^5 z^5 - 4 z^6 - 15 a^2 z^6 - 11 a^4 z^6 - 5 a z^7 - 4 a^3 z^7 + 
  a^5 z^7 + z^8 + 3 a^2 z^8 + 2 a^4 z^8 + a z^9 + a^3 z^9, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) - z/a^7 + (
  6 z)/a^5 + (15 z)/a^3 + (7 z)/a - a z - z^2 + (4 z^2)/a^8 - (4 z^2)/
  a^6 - (12 z^2)/a^4 - (5 z^2)/a^2 + (6 z^3)/a^7 - (11 z^3)/a^5 - (
  24 z^3)/a^3 - (6 z^3)/a + a z^3 + 2 z^4 - (4 z^4)/a^8 + (5 z^4)/
  a^6 + (13 z^4)/a^4 + (6 z^4)/a^2 - (7 z^5)/a^7 + (4 z^5)/a^5 + (
  15 z^5)/a^3 + (4 z^5)/a + z^6/a^8 - (6 z^6)/a^6 - (9 z^6)/a^4 - (
  2 z^6)/a^2 + (2 z^7)/a^7 - (2 z^7)/a^5 - (4 z^7)/a^3 + (2 z^8)/
  a^6 + (3 z^8)/a^4 + z^8/a^2 + z^9/a^5 + z^9/a^3, 
 3 a^10 + 3 a^12 + a^14 - (2 a^9)/z - (3 a^11)/z - a^13/z + 
  18 a^9 z + 20 a^11 z + 3 a^13 z + a^15 z - 17 a^10 z^2 - 
  17 a^12 z^2 - 36 a^9 z^3 - 37 a^11 z^3 - a^13 z^3 + 20 a^10 z^4 + 
  20 a^12 z^4 + 28 a^9 z^5 + 28 a^11 z^5 - 8 a^10 z^6 - 8 a^12 z^6 - 
  9 a^9 z^7 - 9 a^11 z^7 + a^10 z^8 + a^12 z^8 + a^9 z^9 + a^11 z^9, 
 a^2 + 3 a^4 + 3 a^6 - a^3/z - (3 a^5)/z - (2 a^7)/z + a^3 z + 
  12 a^5 z + 4 a^7 z - 7 a^9 z - 9 a^4 z^2 - 9 a^6 z^2 - 15 a^5 z^3 - 
  a^7 z^3 + 14 a^9 z^3 + 6 a^4 z^4 + 6 a^6 z^4 + 7 a^5 z^5 - 
  7 a^9 z^5 - a^4 z^6 - a^6 z^6 - a^5 z^7 + a^9 z^7, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) - z/a^7 + (
  4 z)/a^5 + (11 z)/a^3 + (5 z)/a - a z - 2 z^2 + (3 z^2)/a^8 - (
  5 z^2)/a^6 - (14 z^2)/a^4 - (8 z^2)/a^2 + (7 z^3)/a^7 - (5 z^3)/
  a^5 - (18 z^3)/a^3 - (5 z^3)/a + a z^3 + 2 z^4 - (4 z^4)/a^8 + (
  9 z^4)/a^6 + (21 z^4)/a^4 + (10 z^4)/a^2 - (8 z^5)/a^7 + (3 z^5)/
  a^5 + (14 z^5)/a^3 + (3 z^5)/a + z^6/a^8 - (8 z^6)/a^6 - (13 z^6)/
  a^4 - (4 z^6)/a^2 + (2 z^7)/a^7 - (3 z^7)/a^5 - (5 z^7)/a^3 + (
  2 z^8)/a^6 + (3 z^8)/a^4 + z^8/a^2 + z^9/a^5 + z^9/a^3, -a^4 + a^3/
  z + a^5/z + a^3 z + 5 a^5 z + 4 a^7 z + a^9 z + a^11 z - a^2 z^2 - 
  2 a^4 z^2 - 5 a^6 z^2 - a^8 z^2 + 3 a^10 z^2 - 5 a^3 z^3 - 
  13 a^5 z^3 - 6 a^7 z^3 - 2 a^11 z^3 + a^2 z^4 + 3 a^4 z^4 + 
  6 a^6 z^4 - 2 a^8 z^4 - 6 a^10 z^4 + 4 a^3 z^5 + 9 a^5 z^5 - 
  2 a^7 z^5 - 6 a^9 z^5 + a^11 z^5 - 5 a^6 z^6 - 2 a^8 z^6 + 
  3 a^10 z^6 - a^5 z^7 + 3 a^7 z^7 + 4 a^9 z^7 + a^4 z^8 + 
  4 a^6 z^8 + 3 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z + (7 z)/a + 
  16 a z + 7 a^3 z - a^5 z + a^7 z - 18 z^2 - (10 z^2)/a^2 - 
  11 a^2 z^2 - 2 a^4 z^2 + a^6 z^2 - (15 z^3)/a - 24 a z^3 - 
  8 a^3 z^3 + a^5 z^3 + 26 z^4 + (15 z^4)/a^2 + 12 a^2 z^4 + 
  a^4 z^4 + (16 z^5)/a + 18 a z^5 + 2 a^3 z^5 - 13 z^6 - (7 z^6)/
  a^2 - 6 a^2 z^6 - (7 z^7)/a - 7 a z^7 + 2 z^8 + z^8/a^2 + a^2 z^8 + 
  z^9/a + a z^9, -a^4 + a^3/z + a^5/z + 2 a^3 z + 6 a^5 z + 3 a^7 z + 
  a^11 z - 2 a^2 z^2 - 6 a^4 z^2 - 12 a^6 z^2 - 5 a^8 z^2 + 
  3 a^10 z^2 - 7 a^3 z^3 - 15 a^5 z^3 - 3 a^7 z^3 + 2 a^9 z^3 - 
  3 a^11 z^3 + a^2 z^4 + 9 a^4 z^4 + 24 a^6 z^4 + 10 a^8 z^4 - 
  6 a^10 z^4 + 3 a^3 z^5 + 14 a^5 z^5 + 5 a^7 z^5 - 5 a^9 z^5 + 
  a^11 z^5 - 4 a^4 z^6 - 13 a^6 z^6 - 7 a^8 z^6 + 2 a^10 z^6 - 
  5 a^5 z^7 - 3 a^7 z^7 + 2 a^9 z^7 + a^4 z^8 + 3 a^6 z^8 + 
  2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 a^2 + 3 a^4 + 3 a^6 - a^3/z - (3 a^5)/z - (2 a^7)/z + 4 a^3 z + 
  18 a^5 z + 10 a^7 z - a^9 z + 3 a^11 z - 3 a^2 z^2 - 14 a^4 z^2 - 
  15 a^6 z^2 - 3 a^8 z^2 + a^10 z^2 - 6 a^3 z^3 - 28 a^5 z^3 - 
  16 a^7 z^3 + 2 a^9 z^3 - 4 a^11 z^3 + a^2 z^4 + 15 a^4 z^4 + 
  23 a^6 z^4 + 6 a^8 z^4 - 3 a^10 z^4 + 2 a^3 z^5 + 21 a^5 z^5 + 
  15 a^7 z^5 - 3 a^9 z^5 + a^11 z^5 - 6 a^4 z^6 - 11 a^6 z^6 - 
  4 a^8 z^6 + a^10 z^6 - 7 a^5 z^7 - 6 a^7 z^7 + a^9 z^7 + a^4 z^8 + 
  2 a^6 z^8 + a^8 z^8 + a^5 z^9 + a^7 z^9, 
 a^2 + 3 a^4 + 3 a^6 - a^3/z - (3 a^5)/z - (2 a^7)/z + 3 a^3 z + 
  16 a^5 z + 8 a^7 z - 3 a^9 z + 2 a^11 z - 2 a^2 z^2 - 12 a^4 z^2 - 
  12 a^6 z^2 - a^8 z^2 + a^10 z^2 - 5 a^3 z^3 - 25 a^5 z^3 - 
  11 a^7 z^3 + 6 a^9 z^3 - 3 a^11 z^3 + a^2 z^4 + 11 a^4 z^4 + 
  14 a^6 z^4 - 4 a^10 z^4 + 3 a^3 z^5 + 17 a^5 z^5 + 6 a^7 z^5 - 
  7 a^9 z^5 + a^11 z^5 - 3 a^4 z^6 - 7 a^6 z^6 - 2 a^8 z^6 + 
  2 a^10 z^6 - 4 a^5 z^7 - a^7 z^7 + 3 a^9 z^7 + a^4 z^8 + 
  3 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 a^2 + 3 a^4 + 3 a^6 - a^3/z - (3 a^5)/z - (2 a^7)/z + 2 a^3 z + 
  14 a^5 z + 6 a^7 z - 5 a^9 z + a^11 z - 2 a^2 z^2 - 13 a^4 z^2 - 
  12 a^6 z^2 + a^10 z^2 - 6 a^3 z^3 - 23 a^5 z^3 - 3 a^7 z^3 + 
  11 a^9 z^3 - 3 a^11 z^3 + a^2 z^4 + 12 a^4 z^4 + 20 a^6 z^4 + 
  4 a^8 z^4 - 5 a^10 z^4 + 3 a^3 z^5 + 17 a^5 z^5 + 3 a^7 z^5 - 
  10 a^9 z^5 + a^11 z^5 - 4 a^4 z^6 - 11 a^6 z^6 - 5 a^8 z^6 + 
  2 a^10 z^6 - 5 a^5 z^7 - 2 a^7 z^7 + 3 a^9 z^7 + a^4 z^8 + 
  3 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z + 11 a^5 z + 
  15 a^7 z + 3 a^9 z + a^13 z - 9 a^6 z^2 - 17 a^8 z^2 - 5 a^10 z^2 + 
  a^12 z^2 - 2 a^14 z^2 - 12 a^5 z^3 - 23 a^7 z^3 - 3 a^9 z^3 + 
  4 a^11 z^3 - 4 a^13 z^3 + 7 a^6 z^4 + 23 a^8 z^4 + 12 a^10 z^4 - 
  3 a^12 z^4 + a^14 z^4 + 3 a^5 z^5 + 14 a^7 z^5 + 5 a^9 z^5 - 
  4 a^11 z^5 + 2 a^13 z^5 - 4 a^6 z^6 - 13 a^8 z^6 - 7 a^10 z^6 + 
  2 a^12 z^6 - 5 a^7 z^7 - 3 a^9 z^7 + 2 a^11 z^7 + a^6 z^8 + 
  3 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + a^9 z^9, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z + 10 a^5 z + 
  14 a^7 z + 4 a^9 z + a^11 z + a^13 z - 7 a^6 z^2 - 11 a^8 z^2 + 
  3 a^12 z^2 - a^14 z^2 - 10 a^5 z^3 - 20 a^7 z^3 - 6 a^9 z^3 + 
  a^11 z^3 - 3 a^13 z^3 + 4 a^6 z^4 + 8 a^8 z^4 - 3 a^10 z^4 - 
  6 a^12 z^4 + a^14 z^4 + 3 a^5 z^5 + 9 a^7 z^5 - 2 a^9 z^5 - 
  5 a^11 z^5 + 3 a^13 z^5 - 2 a^6 z^6 - 7 a^8 z^6 + 5 a^12 z^6 - 
  2 a^7 z^7 + 3 a^9 z^7 + 5 a^11 z^7 + a^6 z^8 + 4 a^8 z^8 + 
  3 a^10 z^8 + a^7 z^9 + a^9 z^9, 
 3 a^6 + 3 a^8 + a^10 - (2 a^5)/z - (3 a^7)/z - a^9/z - 3 a^3 z + 
  5 a^5 z + 12 a^7 z + 2 a^9 z - 2 a^11 z - a^4 z^2 - 6 a^6 z^2 - 
  11 a^8 z^2 - 2 a^10 z^2 + 4 a^12 z^2 + 3 a^3 z^3 - 2 a^5 z^3 - 
  15 a^7 z^3 - 3 a^9 z^3 + 7 a^11 z^3 + 2 a^4 z^4 + 5 a^6 z^4 + 
  10 a^8 z^4 + 3 a^10 z^4 - 4 a^12 z^4 + 5 a^7 z^5 - 2 a^9 z^5 - 
  7 a^11 z^5 + a^4 z^6 - 2 a^6 z^6 - 9 a^8 z^6 - 5 a^10 z^6 + 
  a^12 z^6 + 2 a^5 z^7 + 2 a^11 z^7 + 2 a^6 z^8 + 4 a^8 z^8 + 
  2 a^10 z^8 + a^7 z^9 + a^9 z^9, -1 + 1/(a z) + a/z - (2 z)/a^5 - (
  2 z)/a^3 + (2 z)/a + 2 a z - 6 z^2 + (2 z^2)/a^6 - (2 z^2)/a^4 - (
  8 z^2)/a^2 - 2 a^2 z^2 - (2 z^3)/a^7 + (6 z^3)/a^5 + (8 z^3)/a^3 - (
  6 z^3)/a - 6 a z^3 + 8 z^4 - (7 z^4)/a^6 + (6 z^4)/a^4 + (20 z^4)/
  a^2 + a^2 z^4 + z^5/a^7 - (10 z^5)/a^5 - (6 z^5)/a^3 + (8 z^5)/a + 
  3 a z^5 - 3 z^6 + (3 z^6)/a^6 - (7 z^6)/a^4 - (13 z^6)/a^2 + (
  4 z^7)/a^5 + z^7/a^3 - (3 z^7)/a + z^8 + (3 z^8)/a^4 + (4 z^8)/a^2 +
   z^9/a^3 + z^9/a, -1 + 1/(a z) + a/z + (4 z)/a + 6 a z - 2 a^5 z - 
  8 z^2 - (3 z^2)/a^2 - 11 a^2 z^2 - 4 a^4 z^2 + 2 a^6 z^2 - (11 z^3)/
  a - 15 a z^3 + 6 a^3 z^3 + 8 a^5 z^3 - 2 a^7 z^3 + 9 z^4 + (3 z^4)/
  a^2 + 23 a^2 z^4 + 11 a^4 z^4 - 6 a^6 z^4 + (5 z^5)/a + 9 a z^5 - 
  8 a^3 z^5 - 11 a^5 z^5 + a^7 z^5 - 5 z^6 - 19 a^2 z^6 - 
  11 a^4 z^6 + 3 a^6 z^6 + z^7/a - 2 a z^7 + 2 a^3 z^7 + 5 a^5 z^7 + 
  3 z^8 + 8 a^2 z^8 + 5 a^4 z^8 + 2 a z^9 + 2 a^3 z^9, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) + (6 z)/
  a^5 + (11 z)/a^3 + (3 z)/a - 2 a z - 3 z^2 - (11 z^2)/a^6 - (
  18 z^2)/a^4 - (10 z^2)/a^2 - (13 z^3)/a^5 - (15 z^3)/a^3 - z^3/a + 
  a z^3 + z^4 + (15 z^4)/a^6 + (28 z^4)/a^4 + (14 z^4)/a^2 + (15 z^5)/
  a^5 + (15 z^5)/a^3 - (7 z^6)/a^6 - (14 z^6)/a^4 - (7 z^6)/a^2 - (
  7 z^7)/a^5 - (7 z^7)/a^3 + z^8/a^6 + (2 z^8)/a^4 + z^8/a^2 + z^9/
  a^5 + z^9/a^3, 
 1/a^6 + 3/a^4 + 3/a^2 - 1/(a^5 z) - 3/(a^3 z) - 2/(a z) + (6 z)/
  a^5 + (13 z)/a^3 + (7 z)/a - z^2 - (10 z^2)/a^6 - (16 z^2)/a^4 - (
  7 z^2)/a^2 - (15 z^3)/a^5 - (21 z^3)/a^3 - (6 z^3)/a + (15 z^4)/
  a^6 + (25 z^4)/a^4 + (10 z^4)/a^2 + (16 z^5)/a^5 + (17 z^5)/a^3 + 
  z^5/a - (7 z^6)/a^6 - (13 z^6)/a^4 - (6 z^6)/a^2 - (7 z^7)/a^5 - (
  7 z^7)/a^3 + z^8/a^6 + (2 z^8)/a^4 + z^8/a^2 + z^9/a^5 + z^9/a^3, 
 3 a^10 + 3 a^12 + a^14 - (2 a^9)/z - (3 a^11)/z - a^13/z - 4 a^7 z + 
  10 a^9 z + 16 a^11 z + 3 a^13 z + a^15 z - a^8 z^2 - 14 a^10 z^2 - 
  12 a^12 z^2 + a^14 z^2 + 10 a^7 z^3 - 16 a^9 z^3 - 29 a^11 z^3 - 
  3 a^13 z^3 + 6 a^8 z^4 + 19 a^10 z^4 + 13 a^12 z^4 - 6 a^7 z^5 + 
  13 a^9 z^5 + 20 a^11 z^5 + a^13 z^5 - 5 a^8 z^6 - 11 a^10 z^6 - 
  6 a^12 z^6 + a^7 z^7 - 6 a^9 z^7 - 7 a^11 z^7 + a^8 z^8 + 
  2 a^10 z^8 + a^12 z^8 + a^9 z^9 + a^11 z^9, 
 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z - z/a^3 + (2 z)/
  a + 10 a z + 5 a^3 z - 2 a^5 z - 12 z^2 + (2 z^2)/a^4 - (3 z^2)/
  a^2 - 9 a^2 z^2 - 2 a^4 z^2 + (7 z^3)/a^3 + (2 z^3)/a - 11 a z^3 - 
  3 a^3 z^3 + 3 a^5 z^3 + 18 z^4 - (3 z^4)/a^4 + (8 z^4)/a^2 + 
  11 a^2 z^4 + 4 a^4 z^4 - (9 z^5)/a^3 - (8 z^5)/a + a z^5 - 20 z^6 + 
  z^6/a^4 - (11 z^6)/a^2 - 7 a^2 z^6 + a^4 z^6 + (3 z^7)/a^3 + 
  3 a^3 z^7 + 8 z^8 + (4 z^8)/a^2 + 4 a^2 z^8 + (2 z^9)/a + 2 a z^9, 
 3 a^10 + 3 a^12 + a^14 - (2 a^9)/z - (3 a^11)/z - a^13/z + 
  17 a^9 z + 18 a^11 z + a^13 z - a^15 z - a^17 z - 15 a^10 z^2 - 
  14 a^12 z^2 - 2 a^14 z^2 - 3 a^16 z^2 - 36 a^9 z^3 - 34 a^11 z^3 + 
  a^13 z^3 + a^17 z^3 + 19 a^10 z^4 + 19 a^12 z^4 + 2 a^14 z^4 + 
  2 a^16 z^4 + 28 a^9 z^5 + 27 a^11 z^5 + a^15 z^5 - 8 a^10 z^6 - 
  8 a^12 z^6 - 9 a^9 z^7 - 9 a^11 z^7 + a^10 z^8 + a^12 z^8 + 
  a^9 z^9 + a^11 z^9, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z + 9 a z + 
  13 a^3 z - 4 a^7 z - 6 a^2 z^2 - 16 a^4 z^2 - 5 a^6 z^2 + 
  3 a^8 z^2 - 2 a^10 z^2 - 10 a z^3 - 21 a^3 z^3 + 7 a^5 z^3 + 
  15 a^7 z^3 - 3 a^9 z^3 + 2 a^2 z^4 + 20 a^4 z^4 + 12 a^6 z^4 - 
  5 a^8 z^4 + a^10 z^4 + 3 a z^5 + 10 a^3 z^5 - 6 a^5 z^5 - 
  11 a^7 z^5 + 2 a^9 z^5 - 2 a^2 z^6 - 13 a^4 z^6 - 8 a^6 z^6 + 
  3 a^8 z^6 - 3 a^3 z^7 + a^5 z^7 + 4 a^7 z^7 + a^2 z^8 + 4 a^4 z^8 + 
  3 a^6 z^8 + a^3 z^9 + a^5 z^9, -a^8 + a^7/z + a^9/z - 9 a^7 z - 
  5 a^9 z + 3 a^11 z + a^13 z + 2 a^15 z + 5 a^8 z^2 + a^10 z^2 - 
  a^12 z^2 + 3 a^14 z^2 + 14 a^7 z^3 + 8 a^9 z^3 - 6 a^11 z^3 - 
  3 a^13 z^3 - 3 a^15 z^3 - 2 a^8 z^4 + a^10 z^4 - 3 a^12 z^4 - 
  6 a^14 z^4 - 7 a^7 z^5 - 2 a^9 z^5 + 3 a^11 z^5 - a^13 z^5 + 
  a^15 z^5 + 2 a^12 z^6 + 2 a^14 z^6 + a^7 z^7 + a^13 z^7, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z + 9 a z + 
  15 a^3 z + 4 a^5 z - 2 a^7 z - 4 a^2 z^2 - 12 a^4 z^2 - 4 a^6 z^2 + 
  3 a^8 z^2 - a^10 z^2 - 10 a z^3 - 24 a^3 z^3 - 4 a^5 z^3 + 
  7 a^7 z^3 - 3 a^9 z^3 + 2 a^2 z^4 + 14 a^4 z^4 + 4 a^6 z^4 - 
  7 a^8 z^4 + a^10 z^4 + 3 a z^5 + 12 a^3 z^5 - 2 a^5 z^5 - 
  8 a^7 z^5 + 3 a^9 z^5 - 2 a^2 z^6 - 10 a^4 z^6 - 3 a^6 z^6 + 
  5 a^8 z^6 - 3 a^3 z^7 + 2 a^5 z^7 + 5 a^7 z^7 + a^2 z^8 + 
  4 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 3 a^2 + 3 a^4 + a^6 - (2 a)/z - (3 a^3)/z - a^5/z + 7 a z + 
  11 a^3 z + 2 a^5 z - 2 a^7 z - 4 a^2 z^2 - 10 a^4 z^2 - a^6 z^2 + 
  5 a^8 z^2 - 5 a z^3 - 15 a^3 z^3 - a^5 z^3 + 9 a^7 z^3 + a^2 z^4 + 
  6 a^4 z^4 - 5 a^8 z^4 + a z^5 + 7 a^3 z^5 - 6 a^7 z^5 - a^4 z^6 + 
  a^8 z^6 - a^3 z^7 + a^7 z^7, -1 + 1/(a z) + a/z - z/a^7 - (2 z)/
  a^5 - (6 z)/a^3 - (10 z)/a - 5 a z - 3 z^2 + z^2/a^8 - z^2/a^6 - (
  2 z^2)/a^4 - (3 z^2)/a^2 + (3 z^3)/a^7 + (7 z^3)/a^5 + (18 z^3)/
  a^3 + (22 z^3)/a + 8 a z^3 + 11 z^4 + z^4/a^6 + (7 z^4)/a^4 + (
  17 z^4)/a^2 - (8 z^5)/a^5 - (17 z^5)/a^3 - (14 z^5)/a - 5 a z^5 - 
  9 z^6 + z^6/a^6 - (9 z^6)/a^4 - (19 z^6)/a^2 + (3 z^7)/a^5 + (
  2 z^7)/a^3 + a z^7 + 2 z^8 + (3 z^8)/a^4 + (5 z^8)/a^2 + z^9/a^3 + 
  z^9/a, 3 + 1/a^2 + 3 a^2 - 1/(a z) - (3 a)/z - (2 a^3)/z + (7 z)/
  a + 15 a z + 6 a^3 z + 2 a^7 z - 20 z^2 - (11 z^2)/a^2 - 
  12 a^2 z^2 + 3 a^6 z^2 - (14 z^3)/a - 20 a z^3 - 6 a^3 z^3 - 
  3 a^5 z^3 - 3 a^7 z^3 + 31 z^4 + (15 z^4)/a^2 + 18 a^2 z^4 - 
  4 a^4 z^4 - 6 a^6 z^4 + (15 z^5)/a + 19 a z^5 + 2 a^3 z^5 - 
  a^5 z^5 + a^7 z^5 - 15 z^6 - (7 z^6)/a^2 - 8 a^2 z^6 + 2 a^4 z^6 + 
  2 a^6 z^6 - (7 z^7)/a - 8 a z^7 + a^5 z^7 + 2 z^8 + z^8/a^2 + 
  a^2 z^8 + z^9/a + a z^9, -a^8 + a^7/z + a^9/z - 7 a^7 z - a^9 z + 
  5 a^11 z + a^13 z + 2 a^15 z + 3 a^8 z^2 - 8 a^10 z^2 - 
  11 a^12 z^2 + 11 a^7 z^3 - 9 a^11 z^3 + 2 a^13 z^3 + 2 a^8 z^4 + 
  18 a^10 z^4 + 17 a^12 z^4 + a^14 z^4 - 6 a^7 z^5 + 3 a^9 z^5 + 
  6 a^11 z^5 - 3 a^13 z^5 - 4 a^8 z^6 - 14 a^10 z^6 - 10 a^12 z^6 + 
  a^7 z^7 - 4 a^9 z^7 - 4 a^11 z^7 + a^13 z^7 + a^8 z^8 + 
  3 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + a^11 z^9, -a^4 + a^3/z + a^5/
  z + (3 z)/a + 2 a z - 7 a^3 z - 4 a^5 z + 2 a^7 z - 4 z^2 - (4 z^2)/
  a^2 - 4 a^2 z^2 - 3 a^4 z^2 + a^6 z^2 - (8 z^3)/a + 16 a^3 z^3 + 
  5 a^5 z^3 - 3 a^7 z^3 + 3 z^4 + (3 z^4)/a^2 + 11 a^2 z^4 + 
  7 a^4 z^4 - 4 a^6 z^4 + (3 z^5)/a - 3 a z^5 - 13 a^3 z^5 - 
  6 a^5 z^5 + a^7 z^5 - 2 z^6 - 10 a^2 z^6 - 6 a^4 z^6 + 2 a^6 z^6 + 
  z^7/a + 2 a z^7 + 4 a^3 z^7 + 3 a^5 z^7 + 2 z^8 + 5 a^2 z^8 + 
  3 a^4 z^8 + a z^9 + a^3 z^9, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) - z/
  a^9 - z/a^7 - (6 z)/a^5 - (9 z)/a^3 - (3 z)/a + 2 z^2 - (2 z^2)/
  a^8 - z^2/a^6 + z^2/a^4 + (2 z^2)/a^2 + z^3/a^9 + (3 z^3)/a^7 + (
  13 z^3)/a^5 + (20 z^3)/a^3 + (9 z^3)/a - 3 z^4 + (3 z^4)/a^8 + (
  6 z^4)/a^6 + (6 z^4)/a^4 - (10 z^5)/a^5 - (20 z^5)/a^3 - (10 z^5)/
  a + z^6 - (4 z^6)/a^6 - (12 z^6)/a^4 - (7 z^6)/a^2 + z^7/a^7 + (
  2 z^7)/a^5 + (4 z^7)/a^3 + (3 z^7)/a + (2 z^8)/a^6 + (5 z^8)/a^4 + (
  3 z^8)/a^2 + z^9/a^5 + z^9/a^3, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) - (
  5 z)/a^5 - (8 z)/a^3 - (5 z)/a - 2 a z - z^2 - (2 z^2)/a^4 - (
  4 z^2)/a^2 + a^2 z^2 + (8 z^3)/a^5 + (18 z^3)/a^3 + (15 z^3)/a + 
  5 a z^3 + 7 z^4 + (10 z^4)/a^4 + (17 z^4)/a^2 - (5 z^5)/a^5 - (
  11 z^5)/a^3 - (10 z^5)/a - 4 a z^5 - 8 z^6 - (9 z^6)/a^4 - (17 z^6)/
  a^2 + z^7/a^5 - z^7/a^3 - z^7/a + a z^7 + 2 z^8 + (2 z^8)/a^4 + (
  4 z^8)/a^2 + z^9/a^3 + z^9/a, 
 3 a^10 + 3 a^12 + a^14 - (2 a^9)/z - (3 a^11)/z - a^13/z + 
  19 a^9 z + 22 a^11 z + 5 a^13 z + 3 a^15 z + a^17 z - 19 a^10 z^2 - 
  21 a^12 z^2 - a^14 z^2 - a^18 z^2 - 37 a^9 z^3 - 41 a^11 z^3 - 
  6 a^13 z^3 - 7 a^15 z^3 - 5 a^17 z^3 + 23 a^10 z^4 + 26 a^12 z^4 - 
  2 a^14 z^4 - 4 a^16 z^4 + a^18 z^4 + 28 a^9 z^5 + 32 a^11 z^5 + 
  4 a^13 z^5 + 3 a^15 z^5 + 3 a^17 z^5 - 9 a^10 z^6 - 9 a^12 z^6 + 
  3 a^14 z^6 + 3 a^16 z^6 - 9 a^9 z^7 - 10 a^11 z^7 + a^15 z^7 + 
  a^10 z^8 + a^12 z^8 + a^9 z^9 + a^11 z^9, -1 + 1/(a z) + a/z + z/
  a^3 - (4 z)/a - 8 a z + 3 a^5 z + z^2 + (2 z^2)/a^2 + 2 a^2 z^2 - 
  a^4 z^2 - 4 a^6 z^2 - (2 z^3)/a^3 + (6 z^3)/a + 19 a z^3 + 
  5 a^3 z^3 - 6 a^5 z^3 - 3 z^4 - (5 z^4)/a^2 - a^2 z^4 + 3 a^6 z^4 + 
  z^5/a^3 - (9 z^5)/a - 22 a z^5 - 9 a^3 z^5 + 3 a^5 z^5 - 3 z^6 + (
  3 z^6)/a^2 - 6 a^2 z^6 + (5 z^7)/a + 9 a z^7 + 5 a^3 z^7 + 
  a^5 z^7 + 4 z^8 + 6 a^2 z^8 + 2 a^4 z^8 + a z^9 + a^3 z^9, -a^8 + 
  a^7/z + a^9/z - 3 a^3 z - a^5 z - 5 a^7 z - 3 a^9 z + 4 a^11 z - 
  5 a^4 z^2 - 5 a^6 z^2 + a^8 z^2 + a^10 z^2 + 7 a^3 z^3 + 
  7 a^5 z^3 + 7 a^7 z^3 + 2 a^9 z^3 - 5 a^11 z^3 + 13 a^4 z^4 + 
  18 a^6 z^4 + 4 a^8 z^4 - a^10 z^4 - 5 a^3 z^5 - 3 a^5 z^5 - 
  a^9 z^5 + a^11 z^5 - 10 a^4 z^6 - 15 a^6 z^6 - 5 a^8 z^6 + 
  a^3 z^7 - 3 a^5 z^7 - 4 a^7 z^7 + 2 a^4 z^8 + 3 a^6 z^8 + a^8 z^8 + 
  a^5 z^9 + a^7 z^9, -a^8 + a^7/z + a^9/z - 6 a^7 z + a^9 z + 
  7 a^11 z + 3 a^13 z + 3 a^15 z + 2 a^8 z^2 - 10 a^10 z^2 - 
  10 a^12 z^2 + 2 a^14 z^2 + 10 a^7 z^3 - 4 a^9 z^3 - 15 a^11 z^3 - 
  5 a^13 z^3 - 4 a^15 z^3 + 4 a^8 z^4 + 22 a^10 z^4 + 14 a^12 z^4 - 
  4 a^14 z^4 - 6 a^7 z^5 + 9 a^9 z^5 + 15 a^11 z^5 + a^13 z^5 + 
  a^15 z^5 - 5 a^8 z^6 - 13 a^10 z^6 - 7 a^12 z^6 + a^14 z^6 + 
  a^7 z^7 - 6 a^9 z^7 - 7 a^11 z^7 + a^8 z^8 + 2 a^10 z^8 + a^12 z^8 +
   a^9 z^9 + a^11 z^9, -a^8 + a^7/z + a^9/z - 5 a^3 z - 5 a^5 z - 
  9 a^7 z - 7 a^9 z + 2 a^11 z - 6 a^4 z^2 - 2 a^6 z^2 + 6 a^8 z^2 + 
  2 a^10 z^2 + 10 a^3 z^3 + 17 a^5 z^3 + 21 a^7 z^3 + 10 a^9 z^3 - 
  4 a^11 z^3 + 10 a^4 z^4 + 8 a^6 z^4 - 6 a^8 z^4 - 4 a^10 z^4 - 
  6 a^3 z^5 - 12 a^5 z^5 - 13 a^7 z^5 - 6 a^9 z^5 + a^11 z^5 - 
  6 a^4 z^6 - 6 a^6 z^6 + a^8 z^6 + a^10 z^6 + a^3 z^7 + 2 a^5 z^7 + 
  2 a^7 z^7 + a^9 z^7 + a^4 z^8 + a^6 z^8, -3 - 1/a^4 - 3/a^2 - a^2 - 
  a^4 + 1/(a^3 z) + 4/(a z) + (6 a)/z + (5 a^3)/z + (2 a^5)/z - (4 z)/
  a^3 - (19 z)/a - 29 a z - 21 a^3 z - 7 a^5 z + 10 z^2 + (3 z^2)/
  a^4 + (11 z^2)/a^2 + 3 a^2 z^2 + a^4 z^2 + (9 z^3)/a^3 + (37 z^3)/
  a + 51 a z^3 + 29 a^3 z^3 + 6 a^5 z^3 - 6 z^4 - (3 z^4)/a^4 - (
  9 z^4)/a^2 - (9 z^5)/a^3 - (36 z^5)/a - 44 a z^5 - 17 a^3 z^5 - 
  12 z^6 + z^6/a^4 - (3 z^6)/a^2 - 5 a^2 z^6 + 3 a^4 z^6 + (3 z^7)/
  a^3 + (10 z^7)/a + 14 a z^7 + 7 a^3 z^7 + 8 z^8 + (3 z^8)/a^2 + 
  5 a^2 z^8 + z^9/a + a z^9, -3 - 1/a^4 - 3/a^2 - a^2 - a^4 + 1/(
  a^3 z) + 4/(a z) + (6 a)/z + (5 a^3)/z + (2 a^5)/z - (4 z)/a^3 - (
  18 z)/a - 28 a z - 22 a^3 z - 8 a^5 z + 7 z^2 + (3 z^2)/a^4 + (
  9 z^2)/a^2 + a^2 z^2 + (9 z^3)/a^3 + (29 z^3)/a + 42 a z^3 + 
  33 a^3 z^3 + 11 a^5 z^3 + z^4 - (4 z^4)/a^4 - (4 z^4)/a^2 + 
  6 a^2 z^4 + 5 a^4 z^4 - (9 z^5)/a^3 - (18 z^5)/a - 22 a z^5 - 
  19 a^3 z^5 - 6 a^5 z^5 - 5 z^6 + z^6/a^4 - (3 z^6)/a^2 - 
  6 a^2 z^6 - 5 a^4 z^6 + (2 z^7)/a^3 + (3 z^7)/a + 3 a z^7 + 
  3 a^3 z^7 + a^5 z^7 + z^8 + z^8/a^2 + a^2 z^8 + a^4 z^8, -1 - 1/
  a^8 - 3/a^6 - 3/a^4 - 1/a^2 + 1/(a^7 z) + 4/(a^5 z) + 6/(a^3 z) + 
  5/(a z) + (2 a)/z - (4 z)/a^7 - (16 z)/a^5 - (27 z)/a^3 - (22 z)/
  a - 7 a z - 2 z^2 + (4 z^2)/a^8 + (9 z^2)/a^6 + (7 z^2)/a^4 + (
  8 z^3)/a^7 + (24 z^3)/a^5 + (39 z^3)/a^3 + (33 z^3)/a + 10 a z^3 + 
  8 z^4 - (4 z^4)/a^8 - (8 z^4)/a^6 - (2 z^4)/a^4 + (10 z^4)/a^2 - (
  8 z^5)/a^7 - (18 z^5)/a^5 - (20 z^5)/a^3 - (16 z^5)/a - 6 a z^5 - 
  6 z^6 + z^6/a^8 - z^6/a^6 - (3 z^6)/a^4 - (7 z^6)/a^2 + (2 z^7)/
  a^7 + (4 z^7)/a^5 + (3 z^7)/a^3 + (2 z^7)/a + a z^7 + z^8 + z^8/
  a^6 + z^8/a^4 + z^8/a^2, -1 - 1/a^8 - 3/a^6 - 3/a^4 - 1/a^2 + 1/(
  a^7 z) + 4/(a^5 z) + 6/(a^3 z) + 5/(a z) + (2 a)/z - (4 z)/a^7 - (
  18 z)/a^5 - (31 z)/a^3 - (24 z)/a - 7 a z - 2 z^2 + (3 z^2)/a^8 + (
  9 z^2)/a^6 + (8 z^2)/a^4 + (5 z^3)/a^7 + (31 z^3)/a^5 + (58 z^3)/
  a^3 + (41 z^3)/a + 9 a z^3 + 9 z^4 - (9 z^4)/a^6 - (2 z^4)/a^4 + (
  16 z^4)/a^2 + z^5/a^7 - (25 z^5)/a^5 - (47 z^5)/a^3 - (26 z^5)/a - 
  5 a z^5 - 8 z^6 + (5 z^6)/a^6 - (10 z^6)/a^4 - (23 z^6)/a^2 + (
  8 z^7)/a^5 + (10 z^7)/a^3 + (3 z^7)/a + a z^7 + 2 z^8 + (5 z^8)/
  a^4 + (7 z^8)/a^2 + z^9/a^3 + z^9/a, -1 - a^2 - 3 a^4 - 3 a^6 - 
  a^8 + 2/(a z) + (5 a)/z + (6 a^3)/z + (4 a^5)/z + a^7/z - (5 z)/a - 
  20 a z - 29 a^3 z - 18 a^5 z - 4 a^7 z - z^2 + 7 a^4 z^2 + 
  9 a^6 z^2 + 3 a^8 z^2 + (3 z^3)/a + 26 a z^3 + 50 a^3 z^3 + 
  35 a^5 z^3 + 8 a^7 z^3 + 2 z^4 + 10 a^2 z^4 + 3 a^4 z^4 - 
  8 a^6 z^4 - 3 a^8 z^4 - 12 a z^5 - 36 a^3 z^5 - 33 a^5 z^5 - 
  9 a^7 z^5 + z^6 - 9 a^2 z^6 - 15 a^4 z^6 - 4 a^6 z^6 + a^8 z^6 + 
  4 a z^7 + 9 a^3 z^7 + 8 a^5 z^7 + 3 a^7 z^7 + 4 a^2 z^8 + 
  7 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, -3 - 1/a^4 - 3/a^2 - 
  a^2 - a^4 + 1/(a^3 z) + 4/(a z) + (6 a)/z + (5 a^3)/z + (2 a^5)/
  z - (3 z)/a^3 - (18 z)/a - 30 a z - 22 a^3 z - 7 a^5 z + 6 z^2 + 
  z^2/a^4 + (8 z^2)/a^2 - 2 a^2 z^2 - a^4 z^2 + (3 z^3)/a^3 + (
  30 z^3)/a + 54 a z^3 + 36 a^3 z^3 + 9 a^5 z^3 + 5 z^4 - (5 z^4)/
  a^2 + 18 a^2 z^4 + 8 a^4 z^4 - (20 z^5)/a - 38 a z^5 - 23 a^3 z^5 - 
  5 a^5 z^5 - 12 z^6 + (2 z^6)/a^2 - 22 a^2 z^6 - 8 a^4 z^6 + (5 z^7)/
  a + 6 a z^7 + 2 a^3 z^7 + a^5 z^7 + 4 z^8 + 6 a^2 z^8 + 2 a^4 z^8 + 
  a z^9 + a^3 z^9, -1 + 1/(a z) + a/z - (4 z)/a - 12 a z - 12 a^3 z - 
  4 a^5 z - 4 z^2 - 4 a^2 z^2 + 4 a^4 z^2 + 4 a^6 z^2 + (6 z^3)/a + 
  19 a z^3 + 21 a^3 z^3 + 5 a^5 z^3 - 3 a^7 z^3 + 14 z^4 + 
  24 a^2 z^4 + 2 a^4 z^4 - 8 a^6 z^4 - (5 z^5)/a - 4 a z^5 - 
  5 a^3 z^5 - 5 a^5 z^5 + a^7 z^5 - 11 z^6 - 18 a^2 z^6 - 5 a^4 z^6 + 
  2 a^6 z^6 + z^7/a - 4 a z^7 - 4 a^3 z^7 + a^5 z^7 + 2 z^8 + 
  3 a^2 z^8 + a^4 z^8 + a z^9 + a^3 z^9, -1 + 1/(a z) + a/z - (3 z)/
  a^3 - (4 z)/a - a^5 z - 5 z^2 + (2 z^2)/a^4 - 8 a^2 z^2 - 
  5 a^4 z^2 + (8 z^3)/a^3 + (13 z^3)/a + 4 a z^3 + 2 a^3 z^3 + 
  3 a^5 z^3 + 16 z^4 - (3 z^4)/a^4 + (5 z^4)/a^2 + 14 a^2 z^4 + 
  6 a^4 z^4 - (9 z^5)/a^3 - (16 z^5)/a - 10 a z^5 - 3 a^3 z^5 - 
  22 z^6 + z^6/a^4 - (10 z^6)/a^2 - 10 a^2 z^6 + a^4 z^6 + (3 z^7)/
  a^3 + (2 z^7)/a + 3 a z^7 + 4 a^3 z^7 + 9 z^8 + (4 z^8)/a^2 + 
  5 a^2 z^8 + (2 z^9)/a + 2 a z^9, -a^4 + a^3/z + a^5/z - z/a - 
  3 a z - 8 a^3 z - 7 a^5 z - a^7 z - 2 z^2 - 4 a^2 z^2 - 2 a^4 z^2 + 
  a^6 z^2 + a^8 z^2 + z^3/a + 7 a z^3 + 19 a^3 z^3 + 20 a^5 z^3 + 
  7 a^7 z^3 + 4 z^4 + 14 a^2 z^4 + 15 a^4 z^4 + 3 a^6 z^4 - 
  2 a^8 z^4 - 2 a z^5 - 15 a^3 z^5 - 24 a^5 z^5 - 11 a^7 z^5 - 
  10 a^2 z^6 - 23 a^4 z^6 - 12 a^6 z^6 + a^8 z^6 + 2 a z^7 + 
  2 a^3 z^7 + 4 a^5 z^7 + 4 a^7 z^7 + 4 a^2 z^8 + 9 a^4 z^8 + 
  5 a^6 z^8 + 2 a^3 z^9 + 2 a^5 z^9, -1 + 1/(a z) + a/z - (4 z)/
  a^3 - (12 z)/a - 12 a z - 4 a^3 z - 4 z^2 + (2 z^2)/a^4 + 
  2 a^4 z^2 + (11 z^3)/a^3 + (29 z^3)/a + 29 a z^3 + 11 a^3 z^3 + 
  16 z^4 - (4 z^4)/a^4 + (4 z^4)/a^2 + 4 a^2 z^4 - 4 a^4 z^4 - (
  10 z^5)/a^3 - (19 z^5)/a - 19 a z^5 - 10 a^3 z^5 - 12 z^6 + z^6/
  a^4 - (5 z^6)/a^2 - 5 a^2 z^6 + a^4 z^6 + (2 z^7)/a^3 + (3 z^7)/a + 
  3 a z^7 + 2 a^3 z^7 + 2 z^8 + z^8/a^2 + a^2 z^8, -1 + 1/(a z) + a/
  z + (2 z)/a^5 - (6 z)/a - 4 a z + z^2 - (3 z^2)/a^6 - z^2/a^4 + (
  2 z^2)/a^2 + a^2 z^2 - (7 z^3)/a^5 + (2 z^3)/a^3 + (19 z^3)/a + 
  9 a z^3 - a^3 z^3 + (3 z^4)/a^6 + z^4/a^4 + (3 z^4)/a^2 - 
  5 a^2 z^4 + (5 z^5)/a^5 - (7 z^5)/a^3 - (28 z^5)/a - 15 a z^5 + 
  a^3 z^5 - 9 z^6 - z^6/a^4 - (14 z^6)/a^2 + 4 a^2 z^6 + z^7/a^5 + (
  4 z^7)/a^3 + (11 z^7)/a + 8 a z^7 + 7 z^8 + (3 z^8)/a^4 + (10 z^8)/
  a^2 + (2 z^9)/a^3 + (2 z^9)/a, -a^4 + a^3/z + a^5/z - z/a^3 - (3 z)/
  a - 4 a z - 7 a^3 z - 5 a^5 z - 3 z^2 + z^2/a^4 - 3 a^2 z^2 - 
  a^4 z^2 + (7 z^3)/a^3 + (16 z^3)/a + 18 a z^3 + 15 a^3 z^3 + 
  6 a^5 z^3 + 16 z^4 - (2 z^4)/a^4 + (7 z^4)/a^2 + 10 a^2 z^4 + 
  3 a^4 z^4 - (10 z^5)/a^3 - (24 z^5)/a - 27 a z^5 - 13 a^3 z^5 - 
  31 z^6 + z^6/a^4 - (14 z^6)/a^2 - 13 a^2 z^6 + 3 a^4 z^6 + (4 z^7)/
  a^3 + (4 z^7)/a + 8 a z^7 + 8 a^3 z^7 + 14 z^8 + (6 z^8)/a^2 + 
  8 a^2 z^8 + (3 z^9)/a + 3 a z^9, -(1/a^4) + 1/(a^5 z) + 1/(a^3 z) - 
  z/a^7 - (6 z)/a^5 - (7 z)/a^3 - (4 z)/a - 2 a z - 5 z^2 + z^2/a^8 + 
  z^2/a^6 - (3 z^2)/a^4 - (8 z^2)/a^2 + (4 z^3)/a^7 + (14 z^3)/a^5 + (
  18 z^3)/a^3 + (13 z^3)/a + 5 a z^3 + 16 z^4 - z^4/a^6 + (12 z^4)/
  a^4 + (29 z^4)/a^2 - (14 z^5)/a^5 - (17 z^5)/a^3 - (7 z^5)/a - 
  4 a z^5 - 13 z^6 + (2 z^6)/a^6 - (15 z^6)/a^4 - (30 z^6)/a^2 + (
  5 z^7)/a^5 - (4 z^7)/a + a z^7 + 3 z^8 + (5 z^8)/a^4 + (8 z^8)/
  a^2 + (2 z^9)/a^3 + (2 z^9)/a, -1 + 1/(a z) + a/z + (2 z)/a^3 - (
  4 z)/a - 14 a z - 8 a^3 z + 8 z^2 + (6 z^2)/a^2 + 7 a^2 z^2 + 
  4 a^4 z^2 - a^6 z^2 - (6 z^3)/a^3 + (5 z^3)/a + 29 a z^3 + 
  16 a^3 z^3 - 2 a^5 z^3 - 7 z^4 - (9 z^4)/a^2 - 6 a^2 z^4 - 
  7 a^4 z^4 + a^6 z^4 + (3 z^5)/a^3 - (9 z^5)/a - 30 a z^5 - 
  15 a^3 z^5 + 3 a^5 z^5 - 7 z^6 + (2 z^6)/a^2 - 3 a^2 z^6 + 
  6 a^4 z^6 + (3 z^7)/a + 11 a z^7 + 8 a^3 z^7 + 6 z^8 + z^8/a^2 + 
  5 a^2 z^8 + z^9/a + a z^9, 
 a^10 - a^9/z - a^11/z + 3 a^5 z - 3 a^7 z + 2 a^9 z - 8 a^13 z + 
  a^6 z^2 + a^10 z^2 + 2 a^12 z^2 - 4 a^5 z^3 + 5 a^7 z^3 - 
  2 a^9 z^3 + 3 a^11 z^3 + 14 a^13 z^3 - 3 a^6 z^4 - 2 a^8 z^4 - 
  a^12 z^4 + a^5 z^5 - 4 a^7 z^5 + a^9 z^5 - a^11 z^5 - 7 a^13 z^5 + 
  a^6 z^6 + a^8 z^6 + a^7 z^7 + a^13 z^7, 
 a^10 - a^9/z - a^11/z - 5 a^7 z + 7 a^9 z + 9 a^11 z + 2 a^13 z + 
  5 a^15 z - 9 a^10 z^2 - 10 a^12 z^2 - a^14 z^2 + 10 a^7 z^3 - 
  11 a^9 z^3 - 18 a^11 z^3 - 2 a^13 z^3 - 5 a^15 z^3 + 5 a^8 z^4 + 
  19 a^10 z^4 + 14 a^12 z^4 - 6 a^7 z^5 + 11 a^9 z^5 + 16 a^11 z^5 + 
  a^15 z^5 - 5 a^8 z^6 - 12 a^10 z^6 - 7 a^12 z^6 + a^7 z^7 - 
  6 a^9 z^7 - 7 a^11 z^7 + a^8 z^8 + 2 a^10 z^8 + a^12 z^8 + a^9 z^9 +
   a^11 z^9, 
 a^10 - a^9/z - a^11/z + 17 a^9 z + 15 a^11 z + 2 a^13 z + 2 a^15 z - 
  2 a^17 z - 14 a^10 z^2 - 13 a^12 z^2 - a^16 z^2 - 36 a^9 z^3 - 
  33 a^11 z^3 - 2 a^15 z^3 + a^17 z^3 + 19 a^10 z^4 + 19 a^12 z^4 + 
  a^14 z^4 + a^16 z^4 + 28 a^9 z^5 + 27 a^11 z^5 + a^15 z^5 - 
  8 a^10 z^6 - 8 a^12 z^6 - 9 a^9 z^7 - 9 a^11 z^7 + a^10 z^8 + 
  a^12 z^8 + a^9 z^9 + a^11 z^9, -4 a^2 - 3 a^4 + 4 a^6 + 5 a^8 + 
  a^10 + a^2/z^2 + a^4/z^2 - (2 a^6)/z^2 - (3 a^8)/z^2 - a^10/z^2 - (
  2 a^3)/z + (2 a^5)/z + (10 a^7)/z + (8 a^9)/z + (2 a^11)/z + 
  4 a^3 z - 10 a^5 z - 34 a^7 z - 27 a^9 z - 7 a^11 z + 6 a^2 z^2 + 
  9 a^4 z^2 - 3 a^6 z^2 - 8 a^8 z^2 - 2 a^10 z^2 + a^3 z^3 + 
  18 a^5 z^3 + 46 a^7 z^3 + 35 a^9 z^3 + 6 a^11 z^3 - 4 a^2 z^4 - 
  9 a^4 z^4 + 8 a^6 z^4 + 13 a^8 z^4 - 5 a^3 z^5 - 19 a^5 z^5 - 
  34 a^7 z^5 - 20 a^9 z^5 + a^2 z^6 - a^4 z^6 - 15 a^6 z^6 - 
  10 a^8 z^6 + 3 a^10 z^6 + 2 a^3 z^7 + 5 a^5 z^7 + 10 a^7 z^7 + 
  7 a^9 z^7 + 2 a^4 z^8 + 7 a^6 z^8 + 5 a^8 z^8 + a^5 z^9 + 
  a^7 z^9, -3 + 1/a^6 + 5/a^4 + 4/a^2 - 4 a^2 + 1/z^2 - 1/(a^6 z^2) - 
  3/(a^4 z^2) - 2/(a^2 z^2) + a^2/z^2 + 2/(a^7 z) + 8/(a^5 z) + 10/(
  a^3 z) + 2/(a z) - (2 a)/z - (7 z)/a^7 - (27 z)/a^5 - (34 z)/a^3 - (
  10 z)/a + 4 a z + 4 z^2 - (2 z^2)/a^6 - (7 z^2)/a^4 - (8 z^2)/a^2 + 
  7 a^2 z^2 + (10 z^3)/a^7 + (35 z^3)/a^5 + (44 z^3)/a^3 + (18 z^3)/
  a - a z^3 - z^4 + (8 z^4)/a^6 + (12 z^4)/a^4 + (8 z^4)/a^2 - 
  5 a^2 z^4 - (6 z^5)/a^7 - (16 z^5)/a^5 - (21 z^5)/a^3 - (14 z^5)/
  a - 3 a z^5 - 3 z^6 - (6 z^6)/a^6 - (7 z^6)/a^4 - (5 z^6)/a^2 + 
  a^2 z^6 + z^7/a^7 + (2 z^7)/a^5 + (3 z^7)/a^3 + (3 z^7)/a + a z^7 + 
  z^8 + z^8/a^6 + z^8/a^4 + z^8/a^2, -4 a^2 - 3 a^4 + 4 a^6 + 5 a^8 + 
  a^10 + a^2/z^2 + a^4/z^2 - (2 a^6)/z^2 - (3 a^8)/z^2 - a^10/z^2 - (
  2 a^3)/z + (2 a^5)/z + (10 a^7)/z + (8 a^9)/z + (2 a^11)/z + 
  4 a^3 z - 10 a^5 z - 34 a^7 z - 27 a^9 z - 7 a^11 z + 3 a^2 z^2 + 
  4 a^4 z^2 - 4 a^6 z^2 - 7 a^8 z^2 - 2 a^10 z^2 - a^3 z^3 + 
  17 a^5 z^3 + 49 a^7 z^3 + 40 a^9 z^3 + 9 a^11 z^3 - 3 a^4 z^4 + 
  11 a^6 z^4 + 22 a^8 z^4 + 8 a^10 z^4 + a^3 z^5 - 13 a^5 z^5 - 
  33 a^7 z^5 - 24 a^9 z^5 - 5 a^11 z^5 + 2 a^4 z^6 - 13 a^6 z^6 - 
  23 a^8 z^6 - 8 a^10 z^6 + 4 a^5 z^7 + 5 a^7 z^7 + 2 a^9 z^7 + 
  a^11 z^7 + 4 a^6 z^8 + 6 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + 
  a^9 z^9, -3 - 4/a^2 + 4 a^2 + 5 a^4 + a^6 + 1/z^2 + 1/(a^2 z^2) - (
  2 a^2)/z^2 - (3 a^4)/z^2 - a^6/z^2 - 2/(a z) + (2 a)/z + (10 a^3)/
  z + (8 a^5)/z + (2 a^7)/z + (4 z)/a - 10 a z - 34 a^3 z - 
  27 a^5 z - 7 a^7 z + 4 z^2 + (6 z^2)/a^2 - 2 a^2 z^2 + a^4 z^2 + 
  a^6 z^2 + 25 a z^3 + 51 a^3 z^3 + 32 a^5 z^3 + 6 a^7 z^3 - z^4 - (
  4 z^4)/a^2 + a^2 z^4 - 2 a^4 z^4 - (4 z^5)/a - 30 a z^5 - 
  43 a^3 z^5 - 17 a^5 z^5 - 5 z^6 + z^6/a^2 - 13 a^2 z^6 - 
  4 a^4 z^6 + 3 a^6 z^6 + (2 z^7)/a + 9 a z^7 + 14 a^3 z^7 + 
  7 a^5 z^7 + 3 z^8 + 8 a^2 z^8 + 5 a^4 z^8 + a z^9 + a^3 z^9, 
 3 + 3/a^4 + 5/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(a^3 z) + 
  2/(a z) - (3 z)/a^3 - (3 z)/a + 3 z^2 - z^2/a^6 - (3 z^2)/a^4 + z^2/
  a^2 + z^3/a^7 + z^3/a^3 + z^3/a - a z^3 - 9 z^4 + (4 z^4)/a^6 - z^4/
  a^4 - (14 z^4)/a^2 + (2 z^5)/a^5 - (6 z^5)/a^3 - (7 z^5)/a + 
  a z^5 + 4 z^6 + (2 z^6)/a^4 + (6 z^6)/a^2 + z^7/a^5 + (5 z^7)/
  a^3 + (4 z^7)/a + z^8/a^4 + z^8/a^2, 
 3 + 3/a^4 + 5/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(a^3 z) + 
  2/(a z) - (3 z)/a^3 - (3 z)/a + 5 z^2 - (5 z^2)/a^4 - (3 z^2)/a^2 + 
  3 a^2 z^2 - 3 a z^3 - 3 a^3 z^3 - 18 z^4 + (3 z^4)/a^4 - (4 z^4)/
  a^2 - 10 a^2 z^4 + a^4 z^4 + z^5/a^3 - (6 z^5)/a - 3 a z^5 + 
  4 a^3 z^5 + 10 z^6 + (3 z^6)/a^2 + 7 a^2 z^6 + z^7/a^3 + (6 z^7)/
  a + 5 a z^7 + z^8 + z^8/a^2, 
 1/a^10 + 5/a^8 + 4/a^6 - 3/a^4 - 4/a^2 - 1/(a^10 z^2) - 3/(
  a^8 z^2) - 2/(a^6 z^2) + 1/(a^4 z^2) + 1/(a^2 z^2) + 2/(a^11 z) + 
  8/(a^9 z) + 10/(a^7 z) + 2/(a^5 z) - 2/(a^3 z) - (7 z)/a^11 - (
  27 z)/a^9 - (34 z)/a^7 - (10 z)/a^5 + (4 z)/a^3 - (3 z^2)/a^10 - (
  7 z^2)/a^8 + (2 z^2)/a^6 + (12 z^2)/a^4 + (6 z^2)/a^2 + (10 z^3)/
  a^11 + (37 z^3)/a^9 + (42 z^3)/a^7 + (16 z^3)/a^5 + z^3/a^3 + (
  8 z^4)/a^10 + (15 z^4)/a^8 - (3 z^4)/a^6 - (14 z^4)/a^4 - (4 z^4)/
  a^2 - (6 z^5)/a^11 - (17 z^5)/a^9 - (20 z^5)/a^7 - (15 z^5)/a^5 - (
  6 z^5)/a^3 - (6 z^6)/a^10 - (8 z^6)/a^8 - (2 z^6)/a^6 + z^6/a^4 + 
  z^6/a^2 + z^7/a^11 + (2 z^7)/a^9 + (3 z^7)/a^7 + (4 z^7)/a^5 + (
  2 z^7)/a^3 + z^8/a^10 + z^8/a^8 + z^8/a^6 + z^8/a^4, -4 a^6 - 
  3 a^8 + 4 a^10 + 5 a^12 + a^14 + a^6/z^2 + a^8/z^2 - (2 a^10)/
  z^2 - (3 a^12)/z^2 - a^14/z^2 - (2 a^7)/z + (2 a^9)/z + (10 a^11)/
  z + (8 a^13)/z + (2 a^15)/z + 4 a^7 z - 10 a^9 z - 34 a^11 z - 
  27 a^13 z - 7 a^15 z + 8 a^6 z^2 + 3 a^8 z^2 - 13 a^10 z^2 - 
  10 a^12 z^2 - 2 a^14 z^2 + 22 a^9 z^3 + 52 a^11 z^3 + 39 a^13 z^3 + 
  9 a^15 z^3 - 6 a^6 z^4 + 2 a^8 z^4 + 24 a^10 z^4 + 24 a^12 z^4 + 
  8 a^14 z^4 - a^7 z^5 - 15 a^9 z^5 - 33 a^11 z^5 - 24 a^13 z^5 - 
  5 a^15 z^5 + a^6 z^6 - a^8 z^6 - 18 a^10 z^6 - 24 a^12 z^6 - 
  8 a^14 z^6 + 3 a^9 z^7 + 4 a^11 z^7 + 2 a^13 z^7 + a^15 z^7 + 
  4 a^10 z^8 + 6 a^12 z^8 + 2 a^14 z^8 + a^11 z^9 + a^13 z^9, 
 3 a^4 + 5 a^6 + 3 a^8 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/
  z + (2 a^7)/z - 3 a^5 z - 3 a^7 z + z^2 - 10 a^4 z^2 - 12 a^6 z^2 - 
  3 a^8 z^2 - z^3/a + 3 a z^3 + 7 a^3 z^3 + 2 a^5 z^3 - a^7 z^3 - 
  7 z^4 - a^2 z^4 + 17 a^4 z^4 + 12 a^6 z^4 + a^8 z^4 + z^5/a - 
  12 a z^5 - 12 a^3 z^5 + 3 a^5 z^5 + 2 a^7 z^5 + 4 z^6 - 5 a^2 z^6 - 
  12 a^4 z^6 - 3 a^6 z^6 + 6 a z^7 + 5 a^3 z^7 - a^5 z^7 + 
  4 a^2 z^8 + 5 a^4 z^8 + a^6 z^8 + a^3 z^9 + a^5 z^9, 
 3 a^4 + 5 a^6 + 3 a^8 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/
  z + (2 a^7)/z - 3 a^5 z - 3 a^7 z + 2 a^2 z^2 - 6 a^4 z^2 - 
  14 a^6 z^2 - 6 a^8 z^2 + 6 a^3 z^3 + 7 a^5 z^3 + 3 a^7 z^3 + 
  2 a^9 z^3 - 3 a^2 z^4 + 8 a^4 z^4 + 22 a^6 z^4 + 11 a^8 z^4 - 
  10 a^3 z^5 - 8 a^5 z^5 + 2 a^7 z^5 + a^2 z^6 - 10 a^4 z^6 - 
  16 a^6 z^6 - 5 a^8 z^6 + 3 a^3 z^7 - 3 a^7 z^7 + 3 a^4 z^8 + 
  4 a^6 z^8 + a^8 z^8 + a^5 z^9 + a^7 z^9, 
 1/a^12 + 7/a^10 + 22/a^8 + 28/a^6 + 13/a^4 - 2/(a^10 z^2) - 7/(
  a^8 z^2) - 8/(a^6 z^2) - 3/(a^4 z^2) - 1/(a^13 z) - 1/(a^11 z) + 7/(
  a^9 z) + 15/(a^7 z) + 8/(a^5 z) + (3 z)/a^13 + (3 z)/a^11 - (21 z)/
  a^9 - (45 z)/a^7 - (24 z)/a^5 - (10 z^2)/a^10 - (35 z^2)/a^8 - (
  41 z^2)/a^6 - (16 z^2)/a^4 - (3 z^3)/a^13 - (2 z^3)/a^11 + (28 z^3)/
  a^9 + (48 z^3)/a^7 + (21 z^3)/a^5 - (3 z^4)/a^12 + (4 z^4)/a^10 + (
  32 z^4)/a^8 + (31 z^4)/a^6 + (6 z^4)/a^4 + z^5/a^13 - (3 z^5)/
  a^11 - (21 z^5)/a^9 - (26 z^5)/a^7 - (9 z^5)/a^5 + (2 z^6)/a^12 - (
  3 z^6)/a^10 - (18 z^6)/a^8 - (13 z^6)/a^6 + (3 z^7)/a^11 + (7 z^7)/
  a^9 + (7 z^7)/a^7 + (3 z^7)/a^5 + (3 z^8)/a^10 + (7 z^8)/a^8 + (
  4 z^8)/a^6 + z^9/a^9 + z^9/a^7, 
 13 + 28 a^2 + 22 a^4 + 7 a^6 + a^8 - 3/z^2 - (8 a^2)/z^2 - (7 a^4)/
  z^2 - (2 a^6)/z^2 + (8 a)/z + (15 a^3)/z + (7 a^5)/z - a^7/z - a^9/
  z - 24 a z - 45 a^3 z - 21 a^5 z + 3 a^7 z + 3 a^9 z - 24 z^2 - 
  45 a^2 z^2 - 27 a^4 z^2 - 6 a^6 z^2 + 26 a z^3 + 47 a^3 z^3 + 
  19 a^5 z^3 - 5 a^7 z^3 - 3 a^9 z^3 + 21 z^4 + 36 a^2 z^4 + 
  18 a^4 z^4 - a^6 z^4 - 4 a^8 z^4 - 10 a z^5 - 16 a^3 z^5 - 
  9 a^5 z^5 - 2 a^7 z^5 + a^9 z^5 - 8 z^6 - 11 a^2 z^6 - 5 a^4 z^6 + 
  2 a^8 z^6 + a z^7 + 2 a^3 z^7 + 3 a^5 z^7 + 2 a^7 z^7 + z^8 + 
  a^2 z^8 + a^4 z^8 + a^6 z^8, 
 22 + 1/a^4 + 7/a^2 + 28 a^2 + 13 a^4 - 7/z^2 - 2/(a^2 z^2) - (8 a^2)/
  z^2 - (3 a^4)/z^2 - 1/(a^5 z) - 1/(a^3 z) + 7/(a z) + (15 a)/z + (
  8 a^3)/z + (3 z)/a^5 + (3 z)/a^3 - (21 z)/a - 45 a z - 24 a^3 z - 
  42 z^2 + z^2/a^4 - (9 z^2)/a^2 - 54 a^2 z^2 - 22 a^4 z^2 - (4 z^3)/
  a^5 - (3 z^3)/a^3 + (33 z^3)/a + 53 a z^3 + 21 a^3 z^3 + 50 z^4 - (
  4 z^4)/a^4 + (3 z^4)/a^2 + 61 a^2 z^4 + 18 a^4 z^4 + z^5/a^5 - (
  20 z^5)/a - 21 a z^5 - 2 a^3 z^5 - 26 z^6 + z^6/a^4 - z^6/a^2 - 
  31 a^2 z^6 - 7 a^4 z^6 + (3 z^7)/a - a z^7 - 4 a^3 z^7 + 4 z^8 + 
  5 a^2 z^8 + a^4 z^8 + a z^9 + a^3 z^9, 
 1/a^12 + 7/a^10 + 22/a^8 + 28/a^6 + 13/a^4 - 2/(a^10 z^2) - 7/(
  a^8 z^2) - 8/(a^6 z^2) - 3/(a^4 z^2) - 1/(a^13 z) - 1/(a^11 z) + 7/(
  a^9 z) + 15/(a^7 z) + 8/(a^5 z) + (3 z)/a^13 + (3 z)/a^11 - (21 z)/
  a^9 - (45 z)/a^7 - (24 z)/a^5 - (9 z^2)/a^10 - (36 z^2)/a^8 - (
  46 z^2)/a^6 - (19 z^2)/a^4 - (3 z^3)/a^13 - (6 z^3)/a^11 + (26 z^3)/
  a^9 + (52 z^3)/a^7 + (23 z^3)/a^5 - (4 z^4)/a^12 + (4 z^4)/a^10 + (
  44 z^4)/a^8 + (42 z^4)/a^6 + (6 z^4)/a^4 + z^5/a^13 - z^5/a^11 - (
  13 z^5)/a^9 - (23 z^5)/a^7 - (12 z^5)/a^5 + (2 z^6)/a^12 - (3 z^6)/
  a^10 - (24 z^6)/a^8 - (19 z^6)/a^6 + (2 z^7)/a^11 + (2 z^7)/a^9 + (
  3 z^7)/a^7 + (3 z^7)/a^5 + (2 z^8)/a^10 + (6 z^8)/a^8 + (4 z^8)/
  a^6 + z^9/a^9 + z^9/a^7, 
 13 + 28 a^2 + 22 a^4 + 7 a^6 + a^8 - 3/z^2 - (8 a^2)/z^2 - (7 a^4)/
  z^2 - (2 a^6)/z^2 + (8 a)/z + (15 a^3)/z + (7 a^5)/z - a^7/z - a^9/
  z - 24 a z - 45 a^3 z - 21 a^5 z + 3 a^7 z + 3 a^9 z - 23 z^2 - 
  46 a^2 z^2 - 32 a^4 z^2 - 9 a^6 z^2 + 24 a z^3 + 46 a^3 z^3 + 
  26 a^5 z^3 - 4 a^9 z^3 + 21 z^4 + 33 a^2 z^4 + 24 a^4 z^4 + 
  9 a^6 z^4 - 3 a^8 z^4 - 9 a z^5 - 17 a^3 z^5 - 12 a^5 z^5 - 
  3 a^7 z^5 + a^9 z^5 - 8 z^6 - 10 a^2 z^6 - 8 a^4 z^6 - 5 a^6 z^6 + 
  a^8 z^6 + a z^7 + 2 a^3 z^7 + 2 a^5 z^7 + a^7 z^7 + z^8 + a^2 z^8 + 
  a^4 z^8 + a^6 z^8, 
 22 + 1/a^4 + 7/a^2 + 28 a^2 + 13 a^4 - 7/z^2 - 2/(a^2 z^2) - (8 a^2)/
  z^2 - (3 a^4)/z^2 - 1/(a^5 z) - 1/(a^3 z) + 7/(a z) + (15 a)/z + (
  8 a^3)/z + (3 z)/a^5 + (3 z)/a^3 - (21 z)/a - 45 a z - 24 a^3 z - 
  37 z^2 - (8 z^2)/a^2 - 51 a^2 z^2 - 22 a^4 z^2 - (4 z^3)/a^3 + (
  24 z^3)/a + 50 a z^3 + 22 a^3 z^3 + 38 z^4 + z^4/a^4 - (2 z^4)/
  a^2 + 59 a^2 z^4 + 18 a^4 z^4 + (2 z^5)/a^3 - (17 z^5)/a - 
  21 a z^5 - 2 a^3 z^5 - 21 z^6 + (2 z^6)/a^2 - 30 a^2 z^6 - 
  7 a^4 z^6 + (4 z^7)/a - 4 a^3 z^7 + 4 z^8 + 5 a^2 z^8 + a^4 z^8 + 
  a z^9 + a^3 z^9, 
 1/a^10 + 5/a^8 + 4/a^6 - 3/a^4 - 4/a^2 - 1/(a^10 z^2) - 3/(
  a^8 z^2) - 2/(a^6 z^2) + 1/(a^4 z^2) + 1/(a^2 z^2) + 2/(a^11 z) + 
  8/(a^9 z) + 10/(a^7 z) + 2/(a^5 z) - 2/(a^3 z) - (7 z)/a^11 - (
  27 z)/a^9 - (34 z)/a^7 - (10 z)/a^5 + (4 z)/a^3 - (2 z^2)/a^10 - (
  8 z^2)/a^8 - (3 z^2)/a^6 + (9 z^2)/a^4 + (6 z^2)/a^2 + (9 z^3)/
  a^11 + (43 z^3)/a^9 + (52 z^3)/a^7 + (18 z^3)/a^5 + (9 z^4)/a^10 + (
  20 z^4)/a^8 - z^4/a^6 - (12 z^4)/a^4 - (5 z^5)/a^11 - (26 z^5)/
  a^9 - (43 z^5)/a^7 - (19 z^5)/a^5 + (3 z^5)/a^3 - (8 z^6)/a^10 - (
  23 z^6)/a^8 - (8 z^6)/a^6 + (7 z^6)/a^4 + z^7/a^11 + (3 z^7)/a^9 + (
  10 z^7)/a^7 + (8 z^7)/a^5 + (2 z^8)/a^10 + (7 z^8)/a^8 + (5 z^8)/
  a^6 + z^9/a^9 + z^9/a^7, -3 - 4/a^2 + 4 a^2 + 5 a^4 + a^6 + 1/z^2 + 
  1/(a^2 z^2) - (2 a^2)/z^2 - (3 a^4)/z^2 - a^6/z^2 - 2/(a z) + (2 a)/
  z + (10 a^3)/z + (8 a^5)/z + (2 a^7)/z + (4 z)/a - 10 a z - 
  34 a^3 z - 27 a^5 z - 7 a^7 z + 5 z^2 + (6 z^2)/a^2 - 3 a^2 z^2 - 
  4 a^4 z^2 - 2 a^6 z^2 + 20 a z^3 + 42 a^3 z^3 + 33 a^5 z^3 + 
  11 a^7 z^3 + 3 z^4 - (5 z^4)/a^2 + 7 a^2 z^4 + 5 a^4 z^4 + 
  6 a^6 z^4 - (4 z^5)/a - 13 a z^5 - 21 a^3 z^5 - 18 a^5 z^5 - 
  6 a^7 z^5 - 5 z^6 + z^6/a^2 - 6 a^2 z^6 - 5 a^4 z^6 - 5 a^6 z^6 + 
  z^7/a + 2 a z^7 + 3 a^3 z^7 + 3 a^5 z^7 + a^7 z^7 + z^8 + a^2 z^8 + 
  a^4 z^8 + a^6 z^8, 
 5 + 1/a^2 + 4 a^2 - 3 a^4 - 4 a^6 - 3/z^2 - 1/(a^2 z^2) - (2 a^2)/
  z^2 + a^4/z^2 + a^6/z^2 + 2/(a^3 z) + 8/(a z) + (10 a)/z + (2 a^3)/
  z - (2 a^5)/z - (7 z)/a^3 - (27 z)/a - 34 a z - 10 a^3 z + 
  4 a^5 z - 9 z^2 - z^2/a^2 - 8 a^2 z^2 + 6 a^4 z^2 + 6 a^6 z^2 + (
  3 z^3)/a^3 + (35 z^3)/a + 50 a z^3 + 18 a^3 z^3 + 23 z^4 + 
  19 a^2 z^4 - 8 a^4 z^4 - 4 a^6 z^4 - (17 z^5)/a - 29 a z^5 - 
  17 a^3 z^5 - 5 a^5 z^5 - 15 z^6 + z^6/a^2 - 19 a^2 z^6 - 2 a^4 z^6 +
   a^6 z^6 + (4 z^7)/a + 5 a z^7 + 3 a^3 z^7 + 2 a^5 z^7 + 4 z^8 + 
  6 a^2 z^8 + 2 a^4 z^8 + a z^9 + a^3 z^9, 
 3 a^2 + 15 a^4 + 20 a^6 + 8 a^8 - a^10 - a^2/z^2 - (4 a^4)/z^2 - (
  5 a^6)/z^2 - (2 a^8)/z^2 + a/z + (5 a^3)/z + (9 a^5)/z + (5 a^7)/
  z - 4 a z - 19 a^3 z - 33 a^5 z - 18 a^7 z - 8 a^2 z^2 - 
  32 a^4 z^2 - 33 a^6 z^2 - 8 a^8 z^2 + a^10 z^2 + 7 a z^3 + 
  29 a^3 z^3 + 41 a^5 z^3 + 20 a^7 z^3 + a^9 z^3 + 14 a^2 z^4 + 
  42 a^4 z^4 + 31 a^6 z^4 + 3 a^8 z^4 - 5 a z^5 - 14 a^3 z^5 - 
  19 a^5 z^5 - 10 a^7 z^5 - 10 a^2 z^6 - 26 a^4 z^6 - 16 a^6 z^6 + 
  a z^7 - a^3 z^7 + 2 a^7 z^7 + 2 a^2 z^8 + 5 a^4 z^8 + 3 a^6 z^8 + 
  a^3 z^9 + a^5 z^9, 
 15 + 3/a^2 + 20 a^2 + 8 a^4 - a^6 - 4/z^2 - 1/(a^2 z^2) - (5 a^2)/
  z^2 - (2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/z - (
  4 z)/a^3 - (19 z)/a - 33 a z - 18 a^3 z - 21 z^2 - (4 z^2)/a^2 - 
  36 a^2 z^2 - 15 a^4 z^2 + 4 a^6 z^2 + (3 z^3)/a^3 + (21 z^3)/a + 
  43 a z^3 + 28 a^3 z^3 + 3 a^5 z^3 + 19 z^4 + (2 z^4)/a^2 + 
  36 a^2 z^4 + 15 a^4 z^4 - 4 a^6 z^4 - (9 z^5)/a - 23 a z^5 - 
  20 a^3 z^5 - 6 a^5 z^5 - 9 z^6 + z^6/a^2 - 22 a^2 z^6 - 11 a^4 z^6 +
   a^6 z^6 + (3 z^7)/a + 4 a z^7 + 3 a^3 z^7 + 2 a^5 z^7 + 3 z^8 + 
  6 a^2 z^8 + 3 a^4 z^8 + a z^9 + a^3 z^9, 
 10 a^8 + 20 a^10 + 13 a^12 + 2 a^14 - (2 a^8)/z^2 - (5 a^10)/z^2 - (
  4 a^12)/z^2 - a^14/z^2 + (5 a^9)/z + (9 a^11)/z + (5 a^13)/z + a^15/
  z - 16 a^9 z - 27 a^11 z - 13 a^13 z - 2 a^15 z - 22 a^8 z^2 - 
  34 a^10 z^2 - 14 a^12 z^2 - 2 a^14 z^2 + 19 a^9 z^3 + 26 a^11 z^3 + 
  8 a^13 z^3 + a^15 z^3 + 21 a^8 z^4 + 27 a^10 z^4 + 7 a^12 z^4 + 
  a^14 z^4 - 8 a^9 z^5 - 9 a^11 z^5 - a^13 z^5 - 8 a^8 z^6 - 
  9 a^10 z^6 - a^12 z^6 + a^9 z^7 + a^11 z^7 + a^8 z^8 + a^10 z^8, 
 10 a^4 + 20 a^6 + 13 a^8 + 2 a^10 - (2 a^4)/z^2 - (5 a^6)/z^2 - (
  4 a^8)/z^2 - a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/
  z - 16 a^5 z - 27 a^7 z - 13 a^9 z - 2 a^11 z - 11 a^4 z^2 - 
  29 a^6 z^2 - 21 a^8 z^2 - 3 a^10 z^2 + 13 a^5 z^3 + 26 a^7 z^3 + 
  14 a^9 z^3 + a^11 z^3 + 3 a^4 z^4 + 19 a^6 z^4 + 18 a^8 z^4 + 
  2 a^10 z^4 - 5 a^5 z^5 - 10 a^7 z^5 - 5 a^9 z^5 - 6 a^6 z^6 - 
  6 a^8 z^6 + a^5 z^7 + 2 a^7 z^7 + a^9 z^7 + a^6 z^8 + a^8 z^8, 
 12 + 3/a^2 + 15 a^2 + 7 a^4 - 4/z^2 - 1/(a^2 z^2) - (5 a^2)/z^2 - (
  2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/z - (5 z)/
  a^3 - (18 z)/a - 24 a z - 11 a^3 z - 18 z^2 - (6 z^2)/a^2 - 
  17 a^2 z^2 - 5 a^4 z^2 + (10 z^3)/a^3 + (25 z^3)/a + 21 a z^3 + 
  6 a^3 z^3 + 16 z^4 + (10 z^4)/a^2 + 7 a^2 z^4 + a^4 z^4 - (6 z^5)/
  a^3 - (13 z^5)/a - 8 a z^5 - a^3 z^5 - 7 z^6 - (6 z^6)/a^2 - 
  a^2 z^6 + z^7/a^3 + (2 z^7)/a + a z^7 + z^8 + z^8/a^2, 
 7 + 3/a^6 + 12/a^4 + 15/a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(a^4 z^2) - 5/(
  a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(a z) - (5 z)/
  a^7 - (18 z)/a^5 - (24 z)/a^3 - (11 z)/a - 9 z^2 - (2 z^2)/a^6 - (
  14 z^2)/a^4 - (21 z^2)/a^2 + (3 z^3)/a^7 + (20 z^3)/a^5 + (24 z^3)/
  a^3 + (7 z^3)/a + 3 z^4 + (10 z^4)/a^4 + (13 z^4)/a^2 - (8 z^5)/
  a^5 - (11 z^5)/a^3 - (3 z^5)/a + z^6/a^6 - (3 z^6)/a^4 - (4 z^6)/
  a^2 + (2 z^7)/a^5 + (3 z^7)/a^3 + z^7/a + z^8/a^4 + z^8/a^2, 
 7 + 1/a^2 + 10 a^2 + 4 a^4 - a^6 - 4/z^2 - 1/(a^2 z^2) - (5 a^2)/
  z^2 - (2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/z - (
  2 z)/a^3 - (11 z)/a - 21 a z - 12 a^3 z - 9 z^2 - (2 z^2)/a^2 - 
  11 a^2 z^2 - a^4 z^2 + 3 a^6 z^2 + z^3/a^3 + (11 z^3)/a + 
  23 a z^3 + 18 a^3 z^3 + 5 a^5 z^3 + 14 z^4 + (2 z^4)/a^2 + 
  15 a^2 z^4 - 3 a^6 z^4 - (3 z^5)/a - 11 a z^5 - 17 a^3 z^5 - 
  9 a^5 z^5 - 7 z^6 - 15 a^2 z^6 - 7 a^4 z^6 + a^6 z^6 + z^7/a + 
  a z^7 + 3 a^3 z^7 + 3 a^5 z^7 + 2 z^8 + 5 a^2 z^8 + 3 a^4 z^8 + 
  a z^9 + a^3 z^9, 
 6 a^4 + 10 a^6 + 5 a^8 - (2 a^4)/z^2 - (5 a^6)/z^2 - (4 a^8)/z^2 - 
  a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/z - 10 a^5 z - 
  15 a^7 z - 5 a^9 z - 7 a^4 z^2 - 8 a^6 z^2 + a^8 z^2 + 2 a^10 z^2 + 
  6 a^5 z^3 + 7 a^7 z^3 - 3 a^9 z^3 - 4 a^11 z^3 + 3 a^4 z^4 + 
  a^6 z^4 - 11 a^8 z^4 - 8 a^10 z^4 + a^12 z^4 - a^5 z^5 - 6 a^7 z^5 -
   a^9 z^5 + 4 a^11 z^5 + a^6 z^6 + 7 a^8 z^6 + 6 a^10 z^6 + 
  a^5 z^7 + 5 a^7 z^7 + 4 a^9 z^7 + a^6 z^8 + a^8 z^8, 
 3 + 1/a^6 + 4/a^4 + 5/a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(a^4 z^2) - 5/(
  a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(a z) - (3 z)/
  a^7 - (10 z)/a^5 - (12 z)/a^3 - (5 z)/a + 4 z^2 + (3 z^2)/a^4 + (
  7 z^2)/a^2 + (3 z^3)/a^7 + (7 z^3)/a^5 + (5 z^3)/a^3 - a z^3 - 
  9 z^4 + (2 z^4)/a^6 - (9 z^4)/a^4 - (20 z^4)/a^2 - z^5/a^5 - (
  8 z^5)/a^3 - (6 z^5)/a + a z^5 + 4 z^6 + z^6/a^6 + (5 z^6)/a^4 + (
  8 z^6)/a^2 + (2 z^7)/a^5 + (6 z^7)/a^3 + (4 z^7)/a + z^8/a^4 + z^8/
  a^2, -4 - 2/a^2 - 3 a^2 + 5/z^2 + 1/(a^4 z^2) + 4/(a^2 z^2) + (
  2 a^2)/z^2 - 1/(a^5 z) - 5/(a^3 z) - 9/(a z) - (5 a)/z + z/a^5 + (
  5 z)/a^3 + (9 z)/a + 5 a z - 11 z^2 - (4 z^2)/a^4 - (12 z^2)/a^2 - 
  3 a^2 z^2 + (7 z^3)/a^5 + (13 z^3)/a^3 + (6 z^3)/a + a z^3 + 
  a^3 z^3 + 21 z^4 - (2 z^4)/a^6 + (11 z^4)/a^4 + (29 z^4)/a^2 + 
  5 a^2 z^4 - (12 z^5)/a^5 - (19 z^5)/a^3 - (8 z^5)/a - a z^5 - 
  12 z^6 + z^6/a^6 - (15 z^6)/a^4 - (28 z^6)/a^2 + (4 z^7)/a^5 + (
  2 z^7)/a^3 + 2 a z^7 + 4 z^8 + (5 z^8)/a^4 + (9 z^8)/a^2 + (2 z^9)/
  a^3 + (2 z^9)/a, -(2/a^6) - 4/a^4 - 3/a^2 + 1/(a^8 z^2) + 4/(
  a^6 z^2) + 5/(a^4 z^2) + 2/(a^2 z^2) - 1/(a^9 z) - 5/(a^7 z) - 9/(
  a^5 z) - 5/(a^3 z) + z/a^9 + (5 z)/a^7 + (9 z)/a^5 + (5 z)/a^3 - (
  2 z^2)/a^8 - (14 z^2)/a^6 - (21 z^2)/a^4 - (9 z^2)/a^2 + (6 z^3)/
  a^7 + (7 z^3)/a^5 + (4 z^3)/a^3 + (3 z^3)/a + z^4/a^8 + (29 z^4)/
  a^6 + (49 z^4)/a^4 + (21 z^4)/a^2 - (8 z^5)/a^7 - (3 z^5)/a^5 + z^5/
  a^3 - (4 z^5)/a - (20 z^6)/a^6 - (35 z^6)/a^4 - (15 z^6)/a^2 + (
  2 z^7)/a^7 - (6 z^7)/a^5 - (7 z^7)/a^3 + z^7/a + (4 z^8)/a^6 + (
  7 z^8)/a^4 + (3 z^8)/a^2 + (2 z^9)/a^5 + (2 z^9)/a^3, -4 a^2 - 
  7 a^4 - 2 a^6 + 4 a^8 + 2 a^10 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (
  2 a^3)/z - (2 a^5)/z + 4 a^3 z + 6 a^5 z - 4 a^9 z - 2 a^11 z + 
  7 a^2 z^2 + 10 a^4 z^2 - 9 a^6 z^2 - 16 a^8 z^2 - 4 a^10 z^2 - 
  a^3 z^3 - 8 a^5 z^3 + 8 a^9 z^3 + a^11 z^3 - 5 a^2 z^4 - 
  5 a^4 z^4 + 21 a^6 z^4 + 23 a^8 z^4 + 2 a^10 z^4 - 3 a^3 z^5 + 
  6 a^5 z^5 + 5 a^7 z^5 - 4 a^9 z^5 + a^2 z^6 - 2 a^4 z^6 - 
  14 a^6 z^6 - 11 a^8 z^6 + a^3 z^7 - 4 a^5 z^7 - 4 a^7 z^7 + 
  a^9 z^7 + a^4 z^8 + 3 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, -7 - 
  4/a^2 - 2 a^2 + 4 a^4 + 2 a^6 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(
  a z) - (2 a)/z + (4 z)/a + 6 a z - 4 a^5 z - 2 a^7 z + 10 z^2 + (
  3 z^2)/a^2 - a^2 z^2 - 16 a^4 z^2 - 8 a^6 z^2 - z^3/a - 2 a z^3 + 
  2 a^3 z^3 + 10 a^5 z^3 + 7 a^7 z^3 - 5 z^4 + 3 a^2 z^4 + 
  23 a^4 z^4 + 15 a^6 z^4 + z^5/a - 3 a z^5 - 4 a^3 z^5 - 5 a^5 z^5 - 
  5 a^7 z^5 + 2 z^6 - 5 a^2 z^6 - 17 a^4 z^6 - 10 a^6 z^6 + 2 a z^7 - 
  a^3 z^7 - 2 a^5 z^7 + a^7 z^7 + 2 a^2 z^8 + 4 a^4 z^8 + 2 a^6 z^8 + 
  a^3 z^9 + a^5 z^9, -3 - 2/a^2 + 4 a^4 + 2 a^6 + 2/z^2 + 1/(
  a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (2 z)/a + 4 a z - 
  4 a^5 z - 2 a^7 z + 2 z^2 + z^2/a^2 - 10 a^2 z^2 - 18 a^4 z^2 - 
  7 a^6 z^2 - 4 a z^3 - 2 a^3 z^3 + 8 a^5 z^3 + 6 a^7 z^3 + 
  12 a^2 z^4 + 28 a^4 z^4 + 16 a^6 z^4 + a z^5 + 6 a^3 z^5 - 
  5 a^7 z^5 - 6 a^2 z^6 - 17 a^4 z^6 - 11 a^6 z^6 - 5 a^3 z^7 - 
  4 a^5 z^7 + a^7 z^7 + a^2 z^8 + 3 a^4 z^8 + 2 a^6 z^8 + a^3 z^9 + 
  a^5 z^9, 9 a^4 + 21 a^6 + 18 a^8 + 5 a^10 - (2 a^4)/z^2 - (5 a^6)/
  z^2 - (4 a^8)/z^2 - a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (5 a^9)/z + 
  a^11/z - 13 a^5 z - 29 a^7 z - 21 a^9 z - 4 a^11 z + a^13 z - 
  18 a^4 z^2 - 45 a^6 z^2 - 32 a^8 z^2 - 4 a^10 z^2 + a^12 z^2 + 
  9 a^5 z^3 + 34 a^7 z^3 + 27 a^9 z^3 + 2 a^11 z^3 + 17 a^4 z^4 + 
  51 a^6 z^4 + 32 a^8 z^4 - 2 a^10 z^4 + 4 a^5 z^5 - 12 a^7 z^5 - 
  16 a^9 z^5 - 7 a^4 z^6 - 25 a^6 z^6 - 17 a^8 z^6 + a^10 z^6 - 
  5 a^5 z^7 - 2 a^7 z^7 + 3 a^9 z^7 + a^4 z^8 + 4 a^6 z^8 + 
  3 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 9 + 21 a^2 + 18 a^4 + 5 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/z^2 - 
  a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 13 a z - 
  29 a^3 z - 21 a^5 z - 4 a^7 z + a^9 z - 10 z^2 - 37 a^2 z^2 - 
  40 a^4 z^2 - 12 a^6 z^2 + a^8 z^2 + 8 a z^3 + 28 a^3 z^3 + 
  31 a^5 z^3 + 8 a^7 z^3 - 3 a^9 z^3 + 3 z^4 + 28 a^2 z^4 + 
  47 a^4 z^4 + 17 a^6 z^4 - 5 a^8 z^4 - 3 a z^5 - 7 a^3 z^5 - 
  14 a^5 z^5 - 9 a^7 z^5 + a^9 z^5 - 10 a^2 z^6 - 23 a^4 z^6 - 
  11 a^6 z^6 + 2 a^8 z^6 + a z^7 - a^3 z^7 + a^5 z^7 + 3 a^7 z^7 + 
  2 a^2 z^8 + 5 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 5 + 11 a^2 + 10 a^4 + 3 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/z^2 - 
  a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 7 a z - 
  17 a^3 z - 13 a^5 z - 2 a^7 z + a^9 z - 4 z^2 - 18 a^2 z^2 - 
  20 a^4 z^2 - 5 a^6 z^2 + a^8 z^2 + a z^3 + 10 a^3 z^3 + 
  13 a^5 z^3 + 2 a^7 z^3 - 2 a^9 z^3 + z^4 + 16 a^2 z^4 + 
  26 a^4 z^4 + 5 a^6 z^4 - 6 a^8 z^4 + a z^5 + 4 a^3 z^5 - 
  6 a^5 z^5 - 8 a^7 z^5 + a^9 z^5 - 5 a^2 z^6 - 14 a^4 z^6 - 
  6 a^6 z^6 + 3 a^8 z^6 - 3 a^3 z^7 + a^5 z^7 + 4 a^7 z^7 + a^2 z^8 + 
  4 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 2 + 4 a^2 + 3 a^4 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (
  2 a^5)/z - (2 z)/a - 7 a z - 7 a^3 z - 3 a^5 z - a^7 z - 7 z^2 + 
  z^2/a^2 - 24 a^2 z^2 - 21 a^4 z^2 - 5 a^6 z^2 + (7 z^3)/a + 
  18 a z^3 + 19 a^3 z^3 + 9 a^5 z^3 + a^7 z^3 + 13 z^4 - (3 z^4)/
  a^2 + 44 a^2 z^4 + 32 a^4 z^4 + 4 a^6 z^4 - (10 z^5)/a - 12 a z^5 - 
  7 a^3 z^5 - 5 a^5 z^5 - 14 z^6 + z^6/a^2 - 32 a^2 z^6 - 
  17 a^4 z^6 + (3 z^7)/a - 2 a z^7 - 3 a^3 z^7 + 2 a^5 z^7 + 4 z^8 + 
  8 a^2 z^8 + 4 a^4 z^8 + 2 a z^9 + 2 a^3 z^9, 
 3 + 2/a^4 + 4/a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/
  z - (2 z)/a^5 - (7 z)/a^3 - (7 z)/a - 3 a z - a^3 z - 25 z^2 + z^2/
  a^6 - (3 z^2)/a^4 - (20 z^2)/a^2 - 9 a^2 z^2 + (3 z^3)/a^5 + (
  17 z^3)/a^3 + (24 z^3)/a + 14 a z^3 + 4 a^3 z^3 + 48 z^4 + z^4/
  a^4 + (30 z^4)/a^2 + 19 a^2 z^4 - (14 z^5)/a^3 - (16 z^5)/a - 
  6 a z^5 - 4 a^3 z^5 - 36 z^6 + z^6/a^4 - (21 z^6)/a^2 - 
  14 a^2 z^6 + (4 z^7)/a^3 - (2 z^7)/a - 5 a z^7 + a^3 z^7 + 8 z^8 + (
  5 z^8)/a^2 + 3 a^2 z^8 + (2 z^9)/a + 2 a z^9, 
 7 + 2/a^4 + 6/a^2 + 2 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(
  a z) - (2 a)/z - (2 z)/a^5 - (7 z)/a^3 - (9 z)/a - 5 a z - a^3 z - 
  36 z^2 + z^2/a^6 - (6 z^2)/a^4 - (30 z^2)/a^2 - 13 a^2 z^2 + (
  7 z^3)/a^5 + (20 z^3)/a^3 + (19 z^3)/a + 11 a z^3 + 5 a^3 z^3 + 
  56 z^4 - (3 z^4)/a^6 + (10 z^4)/a^4 + (50 z^4)/a^2 + 19 a^2 z^4 - (
  11 z^5)/a^5 - (13 z^5)/a^3 + (3 z^5)/a - 5 a^3 z^5 - 29 z^6 + z^6/
  a^6 - (12 z^6)/a^4 - (30 z^6)/a^2 - 12 a^2 z^6 + (3 z^7)/a^5 - z^7/
  a^3 - (10 z^7)/a - 5 a z^7 + a^3 z^7 + 4 z^8 + (3 z^8)/a^4 + (
  5 z^8)/a^2 + 2 a^2 z^8 + z^9/a^3 + (2 z^9)/a + a z^9, 
 2/a^10 + 13/a^8 + 20/a^6 + 10/a^4 - 1/(a^10 z^2) - 4/(a^8 z^2) - 5/(
  a^6 z^2) - 2/(a^4 z^2) + 1/(a^11 z) + 5/(a^9 z) + 9/(a^7 z) + 5/(
  a^5 z) - (2 z)/a^11 - (13 z)/a^9 - (27 z)/a^7 - (16 z)/a^5 - (
  3 z^2)/a^10 - (29 z^2)/a^8 - (45 z^2)/a^6 - (19 z^2)/a^4 + (19 z^3)/
  a^9 + (31 z^3)/a^7 + (12 z^3)/a^5 + (36 z^4)/a^8 + (53 z^4)/a^6 + (
  17 z^4)/a^4 - (12 z^5)/a^9 - (9 z^5)/a^7 + (3 z^5)/a^5 - (19 z^6)/
  a^8 - (26 z^6)/a^6 - (7 z^6)/a^4 + (2 z^7)/a^9 - (3 z^7)/a^7 - (
  5 z^7)/a^5 + (3 z^8)/a^8 + (4 z^8)/a^6 + z^8/a^4 + z^9/a^7 + z^9/
  a^5, 7 + 3/a^6 + 12/a^4 + 15/a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(
  a^4 z^2) - 5/(a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(
  a z) - (5 z)/a^7 - (18 z)/a^5 - (24 z)/a^3 - (11 z)/a - 8 z^2 + z^2/
  a^8 - (6 z^2)/a^6 - (24 z^2)/a^4 - (25 z^2)/a^2 - (2 z^3)/a^9 + (
  11 z^3)/a^7 + (32 z^3)/a^5 + (24 z^3)/a^3 + (5 z^3)/a + 3 z^4 - (
  6 z^4)/a^8 + (9 z^4)/a^6 + (30 z^4)/a^4 + (18 z^4)/a^2 + z^5/a^9 - (
  13 z^5)/a^7 - (23 z^5)/a^5 - (10 z^5)/a^3 - z^5/a + (3 z^6)/a^8 - (
  9 z^6)/a^6 - (18 z^6)/a^4 - (6 z^6)/a^2 + (5 z^7)/a^7 + (6 z^7)/
  a^5 + (2 z^7)/a^3 + z^7/a + (4 z^8)/a^6 + (6 z^8)/a^4 + (2 z^8)/
  a^2 + z^9/a^5 + z^9/a^3, 
 13 + 10/a^4 + 20/a^2 + 2 a^2 - 4/z^2 - 2/(a^4 z^2) - 5/(a^2 z^2) - 
  a^2/z^2 + 5/(a^3 z) + 9/(a z) + (5 a)/z + a^3/z - (16 z)/a^3 - (
  27 z)/a - 13 a z - 2 a^3 z - 22 z^2 + (3 z^2)/a^6 - (22 z^2)/a^4 - (
  44 z^2)/a^2 - 3 a^2 z^2 + (4 z^3)/a^5 + (23 z^3)/a^3 + (30 z^3)/a + 
  12 a z^3 + a^3 z^3 + 23 z^4 - (4 z^4)/a^6 + (23 z^4)/a^4 + (48 z^4)/
  a^2 + 2 a^2 z^4 - (7 z^5)/a^5 - (13 z^5)/a^3 - (10 z^5)/a - 
  4 a z^5 - 10 z^6 + z^6/a^6 - (14 z^6)/a^4 - (25 z^6)/a^2 + (2 z^7)/
  a^5 - z^7/a + a z^7 + 2 z^8 + (3 z^8)/a^4 + (5 z^8)/a^2 + z^9/a^3 + 
  z^9/a, 7 + 15 a^2 + 12 a^4 + 3 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/
  z^2 - a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 11 a z - 
  24 a^3 z - 18 a^5 z - 5 a^7 z - 9 z^2 + z^2/a^2 - 27 a^2 z^2 - 
  22 a^4 z^2 - 5 a^6 z^2 + (2 z^3)/a + 10 a z^3 + 29 a^3 z^3 + 
  29 a^5 z^3 + 8 a^7 z^3 + 5 z^4 + 24 a^2 z^4 + 30 a^4 z^4 + 
  11 a^6 z^4 - 6 a z^5 - 17 a^3 z^5 - 16 a^5 z^5 - 5 a^7 z^5 - 
  13 a^2 z^6 - 22 a^4 z^6 - 9 a^6 z^6 + 2 a z^7 + a^3 z^7 + a^7 z^7 + 
  3 a^2 z^8 + 5 a^4 z^8 + 2 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 3 + 2/a^4 + 4/a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/
  z - (2 z)/a^5 - (7 z)/a^3 - (7 z)/a - 3 a z - a^3 z - 25 z^2 + z^2/
  a^6 - (3 z^2)/a^4 - (20 z^2)/a^2 - 9 a^2 z^2 + (6 z^3)/a^5 + (
  25 z^3)/a^3 + (30 z^3)/a + 14 a z^3 + 3 a^3 z^3 + 37 z^4 - (2 z^4)/
  a^6 + (8 z^4)/a^4 + (39 z^4)/a^2 + 8 a^2 z^4 - (10 z^5)/a^5 - (
  27 z^5)/a^3 - (28 z^5)/a - 11 a z^5 - 23 z^6 + z^6/a^6 - (15 z^6)/
  a^4 - (40 z^6)/a^2 + a^2 z^6 + (4 z^7)/a^5 + (3 z^7)/a^3 + (5 z^7)/
  a + 6 a z^7 + 8 z^8 + (6 z^8)/a^4 + (14 z^8)/a^2 + (3 z^9)/a^3 + (
  3 z^9)/a, 
 2 + 4 a^2 + 3 a^4 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (
  2 a^5)/z - (2 z)/a - 7 a z - 7 a^3 z - 3 a^5 z - a^7 z - 7 z^2 + (
  2 z^2)/a^2 - 30 a^2 z^2 - 29 a^4 z^2 - 8 a^6 z^2 + (10 z^3)/a + 
  21 a z^3 + 18 a^3 z^3 + 10 a^5 z^3 + 3 a^7 z^3 + 8 z^4 - (4 z^4)/
  a^2 + 48 a^2 z^4 + 55 a^4 z^4 + 19 a^6 z^4 - (10 z^5)/a - 15 a z^5 +
   a^5 z^5 - 4 a^7 z^5 - 6 z^6 + z^6/a^2 - 27 a^2 z^6 - 35 a^4 z^6 - 
  15 a^6 z^6 + (2 z^7)/a + 2 a z^7 - 9 a^3 z^7 - 8 a^5 z^7 + a^7 z^7 +
   z^8 + 4 a^2 z^8 + 6 a^4 z^8 + 3 a^6 z^8 + 2 a^3 z^9 + 
  2 a^5 z^9, -2 a^2 - 3 a^4 - 2 a^6 + a^2/z^2 + (2 a^4)/z^2 + a^6/
  z^2 - (2 a^3)/z - (2 a^5)/z + 2 a^3 z + 2 a^5 z - 4 z^2 + z^2/a^2 - 
  9 a^2 z^2 - 2 a^4 z^2 + 2 a^6 z^2 + (8 z^3)/a + 8 a z^3 + 10 z^4 - (
  3 z^4)/a^2 + 21 a^2 z^4 + 8 a^4 z^4 - (11 z^5)/a - 9 a z^5 + 
  3 a^3 z^5 + a^5 z^5 - 11 z^6 + z^6/a^2 - 16 a^2 z^6 - 4 a^4 z^6 + (
  3 z^7)/a - 3 a^3 z^7 + 3 z^8 + 4 a^2 z^8 + a^4 z^8 + a z^9 + 
  a^3 z^9, -(1/a^12) + 13/a^8 + 22/a^6 + 11/a^4 - 1/(a^10 z^2) - 4/(
  a^8 z^2) - 5/(a^6 z^2) - 2/(a^4 z^2) + 1/(a^11 z) + 5/(a^9 z) + 9/(
  a^7 z) + 5/(a^5 z) + z/a^13 - (2 z)/a^11 - (19 z)/a^9 - (35 z)/
  a^7 - (19 z)/a^5 + (3 z^2)/a^12 + (6 z^2)/a^10 - (19 z^2)/a^8 - (
  38 z^2)/a^6 - (16 z^2)/a^4 - (2 z^3)/a^13 + z^3/a^11 + (33 z^3)/
  a^9 + (48 z^3)/a^7 + (18 z^3)/a^5 - (6 z^4)/a^12 - (9 z^4)/a^10 + (
  23 z^4)/a^8 + (32 z^4)/a^6 + (6 z^4)/a^4 + z^5/a^13 - (6 z^5)/
  a^11 - (26 z^5)/a^9 - (28 z^5)/a^7 - (9 z^5)/a^5 + (3 z^6)/a^12 - (
  17 z^6)/a^8 - (14 z^6)/a^6 + (4 z^7)/a^11 + (8 z^7)/a^9 + (7 z^7)/
  a^7 + (3 z^7)/a^5 + (3 z^8)/a^10 + (7 z^8)/a^8 + (4 z^8)/a^6 + z^9/
  a^9 + z^9/a^7, 
 17 - 2/a^6 + 6/a^4 + 20/a^2 + 4 a^2 - 4/z^2 - 2/(a^4 z^2) - 5/(
  a^2 z^2) - a^2/z^2 + 5/(a^3 z) + 9/(a z) + (5 a)/z + a^3/z + z/
  a^5 - (16 z)/a^3 - (33 z)/a - 21 a z - 5 a^3 z - 25 z^2 + (6 z^2)/
  a^6 - (7 z^2)/a^4 - (31 z^2)/a^2 - 7 a^2 z^2 + (2 z^3)/a^5 + (
  21 z^3)/a^3 + (37 z^3)/a + 28 a z^3 + 10 a^3 z^3 + 20 z^4 - (5 z^4)/
  a^6 + (7 z^4)/a^4 + (22 z^4)/a^2 + 10 a^2 z^4 - (4 z^5)/a^5 - (
  12 z^5)/a^3 - (16 z^5)/a - 14 a z^5 - 6 a^3 z^5 - 8 z^6 + z^6/
  a^6 - (5 z^6)/a^4 - (8 z^6)/a^2 - 6 a^2 z^6 + z^7/a^5 + (2 z^7)/
  a^3 + (2 z^7)/a + 2 a z^7 + a^3 z^7 + z^8 + z^8/a^4 + z^8/a^2 + 
  a^2 z^8, 11 - 1/a^8 + 13/a^4 + 22/a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(
  a^4 z^2) - 5/(a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(
  a z) + z/a^9 - (2 z)/a^7 - (19 z)/a^5 - (35 z)/a^3 - (19 z)/a - 
  23 z^2 + (3 z^2)/a^8 + (3 z^2)/a^6 - (16 z^2)/a^4 - (39 z^2)/a^2 - (
  3 z^3)/a^9 + (4 z^3)/a^7 + (26 z^3)/a^5 + (41 z^3)/a^3 + (22 z^3)/
  a + 21 z^4 - (6 z^4)/a^8 - z^4/a^6 + (15 z^4)/a^4 + (31 z^4)/a^2 + 
  z^5/a^9 - (6 z^5)/a^7 - (14 z^5)/a^5 - (16 z^5)/a^3 - (9 z^5)/a - 
  8 z^6 + (2 z^6)/a^8 - (2 z^6)/a^6 - (6 z^6)/a^4 - (10 z^6)/a^2 + (
  2 z^7)/a^7 + (3 z^7)/a^5 + (2 z^7)/a^3 + z^7/a + z^8 + z^8/a^6 + 
  z^8/a^4 + z^8/a^2, 
 6 - 2/a^2 + 20 a^2 + 17 a^4 + 4 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/
  z^2 - a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z + z/a - 
  16 a z - 33 a^3 z - 21 a^5 z - 5 a^7 z - 4 z^2 + (3 z^2)/a^2 - 
  32 a^2 z^2 - 32 a^4 z^2 - 7 a^6 z^2 + z^3/a + 18 a z^3 + 
  44 a^3 z^3 + 35 a^5 z^3 + 8 a^7 z^3 + 26 a^2 z^4 + 38 a^4 z^4 + 
  12 a^6 z^4 + z^5/a - 12 a z^5 - 28 a^3 z^5 - 20 a^5 z^5 - 
  5 a^7 z^5 + 2 z^6 - 15 a^2 z^6 - 26 a^4 z^6 - 9 a^6 z^6 + 4 a z^7 + 
  4 a^3 z^7 + a^5 z^7 + a^7 z^7 + 4 a^2 z^8 + 6 a^4 z^8 + 2 a^6 z^8 + 
  a^3 z^9 + a^5 z^9, 
 4 a^2 + 17 a^4 + 20 a^6 + 6 a^8 - 2 a^10 - a^2/z^2 - (4 a^4)/z^2 - (
  5 a^6)/z^2 - (2 a^8)/z^2 + a/z + (5 a^3)/z + (9 a^5)/z + (5 a^7)/
  z - 5 a z - 21 a^3 z - 33 a^5 z - 16 a^7 z + a^9 z - 5 a^2 z^2 - 
  32 a^4 z^2 - 36 a^6 z^2 - 4 a^8 z^2 + 5 a^10 z^2 + 3 a z^3 + 
  30 a^3 z^3 + 43 a^5 z^3 + 19 a^7 z^3 + 3 a^9 z^3 + 2 a^2 z^4 + 
  34 a^4 z^4 + 36 a^6 z^4 - 4 a^10 z^4 - 15 a^3 z^5 - 23 a^5 z^5 - 
  14 a^7 z^5 - 6 a^9 z^5 + a^2 z^6 - 16 a^4 z^6 - 22 a^6 z^6 - 
  4 a^8 z^6 + a^10 z^6 + 4 a^3 z^7 + 4 a^5 z^7 + 2 a^7 z^7 + 
  2 a^9 z^7 + 4 a^4 z^8 + 6 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 11 a^4 + 22 a^6 + 13 a^8 - a^12 - (2 a^4)/z^2 - (5 a^6)/z^2 - (
  4 a^8)/z^2 - a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/
  z - 19 a^5 z - 35 a^7 z - 19 a^9 z - 2 a^11 z + a^13 z - 
  21 a^4 z^2 - 46 a^6 z^2 - 21 a^8 z^2 + 6 a^10 z^2 + 2 a^12 z^2 + 
  18 a^5 z^3 + 50 a^7 z^3 + 31 a^9 z^3 - a^11 z^3 + 18 a^4 z^4 + 
  55 a^6 z^4 + 27 a^8 z^4 - 10 a^10 z^4 - a^5 z^5 - 25 a^7 z^5 - 
  23 a^9 z^5 + a^11 z^5 - 7 a^4 z^6 - 29 a^6 z^6 - 19 a^8 z^6 + 
  3 a^10 z^6 - 4 a^5 z^7 + a^7 z^7 + 5 a^9 z^7 + a^4 z^8 + 
  5 a^6 z^8 + 4 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 3/a^10 + 15/a^8 + 20/a^6 + 8/a^4 - 1/a^2 - 1/(a^10 z^2) - 4/(
  a^8 z^2) - 5/(a^6 z^2) - 2/(a^4 z^2) + 1/(a^11 z) + 5/(a^9 z) + 9/(
  a^7 z) + 5/(a^5 z) - (4 z)/a^11 - (19 z)/a^9 - (33 z)/a^7 - (18 z)/
  a^5 - (6 z^2)/a^10 - (32 z^2)/a^8 - (37 z^2)/a^6 - (8 z^2)/a^4 + (
  3 z^2)/a^2 + (6 z^3)/a^11 + (36 z^3)/a^9 + (52 z^3)/a^7 + (25 z^3)/
  a^5 + (3 z^3)/a^3 + (14 z^4)/a^10 + (48 z^4)/a^8 + (35 z^4)/a^6 + 
  z^4/a^4 - (4 z^5)/a^11 - (21 z^5)/a^9 - (38 z^5)/a^7 - (20 z^5)/
  a^5 + z^5/a^3 - (12 z^6)/a^10 - (39 z^6)/a^8 - (24 z^6)/a^6 + (
  3 z^6)/a^4 + z^7/a^11 - z^7/a^9 + (5 z^7)/a^7 + (7 z^7)/a^5 + (
  3 z^8)/a^10 + (10 z^8)/a^8 + (7 z^8)/a^6 + (2 z^9)/a^9 + (2 z^9)/
  a^7, 8 + 3/a^6 + 15/a^4 + 20/a^2 - a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(
  a^4 z^2) - 5/(a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(
  a z) - (4 z)/a^7 - (19 z)/a^5 - (33 z)/a^3 - (18 z)/a - 15 z^2 - (
  9 z^2)/a^6 - (29 z^2)/a^4 - (38 z^2)/a^2 + 3 a^2 z^2 + (9 z^3)/
  a^7 + (23 z^3)/a^5 + (37 z^3)/a^3 + (26 z^3)/a + 3 a z^3 + 
  19 z^4 + (13 z^4)/a^6 + (33 z^4)/a^4 + (43 z^4)/a^2 - 4 a^2 z^4 - (
  6 z^5)/a^7 - (10 z^5)/a^5 - (10 z^5)/a^3 - (13 z^5)/a - 7 a z^5 - 
  14 z^6 - (7 z^6)/a^6 - (15 z^6)/a^4 - (23 z^6)/a^2 + a^2 z^6 + z^7/
  a^7 + z^7/a^5 - (3 z^7)/a^3 - z^7/a + 2 a z^7 + 3 z^8 + z^8/a^6 + (
  2 z^8)/a^4 + (4 z^8)/a^2 + z^9/a^3 + z^9/a, -6 - 4/a^2 - 3 a^2 - 
  a^4 - a^6 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (
  4 z)/a - 6 a^3 z - 2 a^5 z + z^2 - (2 z^2)/a^2 + 6 a^2 z^2 + 
  6 a^4 z^2 + 3 a^6 z^2 + z^3/a^3 + z^3/a + 13 a z^3 + 20 a^3 z^3 + 
  7 a^5 z^3 + 8 z^4 + (5 z^4)/a^2 + a^2 z^4 - 5 a^4 z^4 - 3 a^6 z^4 - 
  z^5/a - 16 a z^5 - 24 a^3 z^5 - 9 a^5 z^5 - 6 z^6 - 12 a^2 z^6 - 
  5 a^4 z^6 + a^6 z^6 + (2 z^7)/a + 5 a z^7 + 6 a^3 z^7 + 3 a^5 z^7 + 
  3 z^8 + 6 a^2 z^8 + 3 a^4 z^8 + a z^9 + a^3 z^9, 
 9 + 5/a^6 + 18/a^4 + 21/a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(a^4 z^2) - 5/(
  a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(a z) + z/a^9 - (
  4 z)/a^7 - (21 z)/a^5 - (29 z)/a^3 - (13 z)/a - 14 z^2 + z^2/a^8 - (
  8 z^2)/a^6 - (36 z^2)/a^4 - (41 z^2)/a^2 - (2 z^3)/a^9 + (5 z^3)/
  a^7 + (32 z^3)/a^5 + (35 z^3)/a^3 + (10 z^3)/a + 6 z^4 - (5 z^4)/
  a^8 + (8 z^4)/a^6 + (44 z^4)/a^4 + (37 z^4)/a^2 + z^5/a^9 - (9 z^5)/
  a^7 - (22 z^5)/a^5 - (18 z^5)/a^3 - (6 z^5)/a + (3 z^6)/a^8 - (
  9 z^6)/a^6 - (29 z^6)/a^4 - (17 z^6)/a^2 + (5 z^7)/a^7 + (5 z^7)/
  a^5 + (3 z^7)/a^3 + (3 z^7)/a + (5 z^8)/a^6 + (10 z^8)/a^4 + (
  5 z^8)/a^2 + (2 z^9)/a^5 + (2 z^9)/a^3, 
 18 + 5/a^2 + 21 a^2 + 9 a^4 - 4/z^2 - 1/(a^2 z^2) - (5 a^2)/z^2 - (
  2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/z + z/a^5 - (
  4 z)/a^3 - (21 z)/a - 29 a z - 13 a^3 z - 42 z^2 + (2 z^2)/a^4 - (
  8 z^2)/a^2 - 49 a^2 z^2 - 17 a^4 z^2 - (3 z^3)/a^5 + (6 z^3)/a^3 + (
  33 z^3)/a + 30 a z^3 + 6 a^3 z^3 + 49 z^4 - (6 z^4)/a^4 + (6 z^4)/
  a^2 + 53 a^2 z^4 + 16 a^4 z^4 + z^5/a^5 - (7 z^5)/a^3 - (18 z^5)/
  a - 3 a z^5 + 7 a^3 z^5 - 22 z^6 + (2 z^6)/a^4 - (4 z^6)/a^2 - 
  23 a^2 z^6 - 7 a^4 z^6 + (2 z^7)/a^3 + (3 z^7)/a - 5 a z^7 - 
  6 a^3 z^7 + 3 z^8 + z^8/a^2 + 3 a^2 z^8 + a^4 z^8 + a z^9 + 
  a^3 z^9, -a^2 + 8 a^4 + 20 a^6 + 15 a^8 + 3 a^10 - (2 a^4)/z^2 - (
  5 a^6)/z^2 - (4 a^8)/z^2 - a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (
  5 a^9)/z + a^11/z - 18 a^5 z - 33 a^7 z - 19 a^9 z - 4 a^11 z + 
  3 a^2 z^2 - 8 a^4 z^2 - 37 a^6 z^2 - 32 a^8 z^2 - 6 a^10 z^2 + 
  4 a^3 z^3 + 25 a^5 z^3 + 46 a^7 z^3 + 28 a^9 z^3 + 3 a^11 z^3 - 
  3 a^2 z^4 + 6 a^4 z^4 + 44 a^6 z^4 + 39 a^8 z^4 + 4 a^10 z^4 - 
  8 a^3 z^5 - 20 a^5 z^5 - 27 a^7 z^5 - 15 a^9 z^5 + a^2 z^6 - 
  10 a^4 z^6 - 33 a^6 z^6 - 21 a^8 z^6 + a^10 z^6 + 3 a^3 z^7 + 
  2 a^5 z^7 + 4 a^7 z^7 + 5 a^9 z^7 + 4 a^4 z^8 + 10 a^6 z^8 + 
  6 a^8 z^8 + 2 a^5 z^9 + 2 a^7 z^9, -a^6 + 8 a^8 + 20 a^10 + 
  15 a^12 + 3 a^14 - (2 a^8)/z^2 - (5 a^10)/z^2 - (4 a^12)/z^2 - a^14/
  z^2 + (5 a^9)/z + (9 a^11)/z + (5 a^13)/z + a^15/z - 18 a^9 z - 
  33 a^11 z - 19 a^13 z - 4 a^15 z + 5 a^6 z^2 - 15 a^8 z^2 - 
  42 a^10 z^2 - 29 a^12 z^2 - 7 a^14 z^2 + 4 a^7 z^3 + 27 a^9 z^3 + 
  42 a^11 z^3 + 26 a^13 z^3 + 7 a^15 z^3 - 5 a^6 z^4 + 14 a^8 z^4 + 
  44 a^10 z^4 + 38 a^12 z^4 + 13 a^14 z^4 - 5 a^7 z^5 - 15 a^9 z^5 - 
  16 a^11 z^5 - 11 a^13 z^5 - 5 a^15 z^5 + a^6 z^6 - 7 a^8 z^6 - 
  21 a^10 z^6 - 23 a^12 z^6 - 10 a^14 z^6 + a^7 z^7 + 2 a^9 z^7 - 
  2 a^11 z^7 - 2 a^13 z^7 + a^15 z^7 + a^8 z^8 + 3 a^10 z^8 + 
  4 a^12 z^8 + 2 a^14 z^8 + a^11 z^9 + a^13 z^9, -4 a^2 - 7 a^4 - 
  2 a^6 + 4 a^8 + 2 a^10 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/
  z - (2 a^5)/z + 4 a^3 z + 6 a^5 z - 4 a^9 z - 2 a^11 z + 
  6 a^2 z^2 + 14 a^4 z^2 + a^6 z^2 - 12 a^8 z^2 - 5 a^10 z^2 + 
  a^3 z^3 + 4 a^7 z^3 + 8 a^9 z^3 + 3 a^11 z^3 - 4 a^2 z^4 - 
  11 a^4 z^4 + 11 a^8 z^4 + 4 a^10 z^4 - 5 a^3 z^5 - 10 a^5 z^5 - 
  9 a^7 z^5 - 4 a^9 z^5 + a^2 z^6 - a^4 z^6 - 8 a^6 z^6 - 5 a^8 z^6 + 
  a^10 z^6 + 2 a^3 z^7 + 3 a^5 z^7 + 4 a^7 z^7 + 3 a^9 z^7 + 
  2 a^4 z^8 + 5 a^6 z^8 + 3 a^8 z^8 + a^5 z^9 + a^7 z^9, -7 - 4/a^2 - 
  2 a^2 + 4 a^4 + 2 a^6 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (
  2 a)/z + (4 z)/a + 6 a z - 4 a^5 z - 2 a^7 z + 14 z^2 + (7 z^2)/
  a^2 - 5 a^2 z^2 - 20 a^4 z^2 - 8 a^6 z^2 + z^3/a - 5 a z^3 - 
  3 a^3 z^3 + 9 a^5 z^3 + 6 a^7 z^3 - 11 z^4 - (5 z^4)/a^2 + 
  11 a^2 z^4 + 33 a^4 z^4 + 16 a^6 z^4 - (4 z^5)/a + 8 a^3 z^5 - 
  a^5 z^5 - 5 a^7 z^5 + 2 z^6 + z^6/a^2 - 7 a^2 z^6 - 19 a^4 z^6 - 
  11 a^6 z^6 + z^7/a - 6 a^3 z^7 - 4 a^5 z^7 + a^7 z^7 + a^2 z^8 + 
  3 a^4 z^8 + 2 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 1/a^8 - 3/a^6 - 8/a^4 - 5/a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(
  a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (6 z)/a^5 + (6 z)/a^3 + (2 z^2)/
  a^10 - (3 z^2)/a^8 + (10 z^2)/a^4 + (5 z^2)/a^2 + (7 z^3)/a^9 + (
  3 z^3)/a^7 - (8 z^3)/a^5 - (4 z^3)/a^3 - (3 z^4)/a^10 + (6 z^4)/
  a^8 + (8 z^4)/a^6 - z^4/a^4 - (10 z^5)/a^9 - (8 z^5)/a^7 + (5 z^5)/
  a^5 + (3 z^5)/a^3 + z^6/a^10 - (9 z^6)/a^8 - (11 z^6)/a^6 - z^6/
  a^4 + (3 z^7)/a^9 + z^7/a^7 - (2 z^7)/a^5 + (3 z^8)/a^8 + (4 z^8)/
  a^6 + z^8/a^4 + z^9/a^7 + z^9/a^5, -5 a^2 - 8 a^4 - 3 a^6 + a^8 + 
  a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z + 6 a^3 z + 
  6 a^5 z + 3 z^2 + 11 a^2 z^2 + 16 a^4 z^2 + 4 a^6 z^2 - 4 a^8 z^2 - 
  z^3/a + 3 a z^3 + 4 a^3 z^3 - 4 a^5 z^3 - 4 a^7 z^3 - 7 z^4 - 
  14 a^2 z^4 - 13 a^4 z^4 - 3 a^6 z^4 + 3 a^8 z^4 + z^5/a - 
  10 a z^5 - 19 a^3 z^5 - 5 a^5 z^5 + 3 a^7 z^5 + 4 z^6 + a^2 z^6 - 
  2 a^4 z^6 + a^6 z^6 + 6 a z^7 + 10 a^3 z^7 + 5 a^5 z^7 + a^7 z^7 + 
  4 a^2 z^8 + 6 a^4 z^8 + 2 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 10 a^4 + 20 a^6 + 13 a^8 + 2 a^10 - (2 a^4)/z^2 - (5 a^6)/z^2 - (
  4 a^8)/z^2 - a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/
  z - 16 a^5 z - 27 a^7 z - 13 a^9 z - 2 a^11 z - 14 a^4 z^2 - 
  37 a^6 z^2 - 27 a^8 z^2 - 3 a^10 z^2 + a^12 z^2 + 13 a^5 z^3 + 
  33 a^7 z^3 + 27 a^9 z^3 + 6 a^11 z^3 - a^13 z^3 + 6 a^4 z^4 + 
  33 a^6 z^4 + 35 a^8 z^4 + 2 a^10 z^4 - 6 a^12 z^4 - 6 a^5 z^5 - 
  20 a^7 z^5 - 28 a^9 z^5 - 13 a^11 z^5 + a^13 z^5 - 15 a^6 z^6 - 
  27 a^8 z^6 - 8 a^10 z^6 + 4 a^12 z^6 + 3 a^5 z^7 + 5 a^7 z^7 + 
  9 a^9 z^7 + 7 a^11 z^7 + 5 a^6 z^8 + 11 a^8 z^8 + 6 a^10 z^8 + 
  2 a^7 z^9 + 2 a^9 z^9, 
 7 + 3/a^6 + 12/a^4 + 15/a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(a^4 z^2) - 5/(
  a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(a z) - (5 z)/
  a^7 - (18 z)/a^5 - (24 z)/a^3 - (11 z)/a - 13 z^2 - (4 z^2)/a^6 - (
  26 z^2)/a^4 - (37 z^2)/a^2 + 2 a^2 z^2 + (3 z^3)/a^7 + (25 z^3)/
  a^5 + (31 z^3)/a^3 + (14 z^3)/a + 5 a z^3 + 14 z^4 + (2 z^4)/a^6 + (
  35 z^4)/a^4 + (50 z^4)/a^2 - 3 a^2 z^4 - (13 z^5)/a^5 - (15 z^5)/
  a^3 - (11 z^5)/a - 9 a z^5 - 13 z^6 + z^6/a^6 - (19 z^6)/a^4 - (
  34 z^6)/a^2 + a^2 z^6 + (4 z^7)/a^5 - z^7/a + 3 a z^7 + 4 z^8 + (
  5 z^8)/a^4 + (9 z^8)/a^2 + (2 z^9)/a^3 + (2 z^9)/a, 
 3 a^2 + 11 a^4 + 11 a^6 + 3 a^8 - a^10 - a^4/z^2 - (2 a^6)/z^2 - a^8/
  z^2 + (2 a^5)/z + (2 a^7)/z - 2 a z - 7 a^3 z - 12 a^5 z - 8 a^7 z -
   a^9 z - 10 a^2 z^2 - 32 a^4 z^2 - 25 a^6 z^2 - 2 a^8 z^2 + 
  a^10 z^2 + 6 a z^3 + 15 a^3 z^3 + 17 a^5 z^3 + 9 a^7 z^3 + 
  a^9 z^3 + 17 a^2 z^4 + 41 a^4 z^4 + 25 a^6 z^4 + a^8 z^4 - 
  5 a z^5 - 5 a^3 z^5 - 5 a^5 z^5 - 5 a^7 z^5 - 11 a^2 z^6 - 
  23 a^4 z^6 - 12 a^6 z^6 + a z^7 - 3 a^3 z^7 - 3 a^5 z^7 + a^7 z^7 + 
  2 a^2 z^8 + 4 a^4 z^8 + 2 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 11 + 3/a^2 + 11 a^2 + 3 a^4 - a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - (2 z)/a^3 - (7 z)/a - 12 a z - 8 a^3 z - 
  a^5 z - 24 z^2 - (7 z^2)/a^2 - 23 a^2 z^2 - 2 a^4 z^2 + 
  4 a^6 z^2 + (3 z^3)/a^3 + (11 z^3)/a + 15 a z^3 + 13 a^3 z^3 + 
  6 a^5 z^3 + 22 z^4 + (4 z^4)/a^2 + 24 a^2 z^4 + 2 a^4 z^4 - 
  4 a^6 z^4 - (6 z^5)/a - 9 a z^5 - 10 a^3 z^5 - 7 a^5 z^5 - 9 z^6 + 
  z^6/a^2 - 16 a^2 z^6 - 5 a^4 z^6 + a^6 z^6 + (3 z^7)/a + 2 a z^7 + 
  a^3 z^7 + 2 a^5 z^7 + 3 z^8 + 5 a^2 z^8 + 2 a^4 z^8 + a z^9 + 
  a^3 z^9, 9 + 3/a^2 + 7 a^2 + a^4 - a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/
  z^2 + (2 a)/z + (2 a^3)/z - (2 z)/a^3 - (7 z)/a - 10 a z - 6 a^3 z -
   a^5 z - 15 z^2 - (5 z^2)/a^2 - 8 a^2 z^2 + 5 a^4 z^2 + 
  3 a^6 z^2 + (3 z^3)/a^3 + (10 z^3)/a + 17 a z^3 + 17 a^3 z^3 + 
  7 a^5 z^3 + 10 z^4 + (4 z^4)/a^2 + 5 a^2 z^4 - 4 a^4 z^4 - 
  3 a^6 z^4 - (4 z^5)/a - 17 a z^5 - 22 a^3 z^5 - 9 a^5 z^5 - 4 z^6 + 
  z^6/a^2 - 11 a^2 z^6 - 5 a^4 z^6 + a^6 z^6 + (3 z^7)/a + 6 a z^7 + 
  6 a^3 z^7 + 3 a^5 z^7 + 3 z^8 + 6 a^2 z^8 + 3 a^4 z^8 + a z^9 + 
  a^3 z^9, 6 a^4 + 13 a^6 + 9 a^8 - a^12 - a^4/z^2 - (2 a^6)/z^2 - 
  a^8/z^2 + (2 a^5)/z + (2 a^7)/z - 5 a^5 z - 8 a^7 z - 3 a^9 z + 
  a^11 z + a^13 z - 15 a^4 z^2 - 35 a^6 z^2 - 24 a^8 z^2 - 
  3 a^10 z^2 + a^12 z^2 + 6 a^7 z^3 + 6 a^9 z^3 + 16 a^4 z^4 + 
  42 a^6 z^4 + 27 a^8 z^4 + a^10 z^4 + 9 a^5 z^5 + 4 a^7 z^5 - 
  5 a^9 z^5 - 7 a^4 z^6 - 20 a^6 z^6 - 13 a^8 z^6 - 6 a^5 z^7 - 
  5 a^7 z^7 + a^9 z^7 + a^4 z^8 + 3 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + 
  a^7 z^9, 6 + 13 a^2 + 9 a^4 - a^8 - 1/z^2 - (2 a^2)/z^2 - a^4/
  z^2 + (2 a)/z + (2 a^3)/z - 5 a z - 8 a^3 z - 3 a^5 z + a^7 z + 
  a^9 z - 8 z^2 - 31 a^2 z^2 - 26 a^4 z^2 + a^6 z^2 + 4 a^8 z^2 + 
  a z^3 + 6 a^3 z^3 + 8 a^5 z^3 - 3 a^9 z^3 + 3 z^4 + 25 a^2 z^4 + 
  32 a^4 z^4 + 4 a^6 z^4 - 6 a^8 z^4 - a z^5 + 2 a^3 z^5 - 
  2 a^5 z^5 - 4 a^7 z^5 + a^9 z^5 - 9 a^2 z^6 - 16 a^4 z^6 - 
  5 a^6 z^6 + 2 a^8 z^6 + a z^7 - 2 a^3 z^7 - a^5 z^7 + 2 a^7 z^7 + 
  2 a^2 z^8 + 4 a^4 z^8 + 2 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 4 + 9 a^2 + 7 a^4 - a^8 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/z + (
  2 a^3)/z - 3 a z - 6 a^3 z - 3 a^5 z + a^7 z + a^9 z - 6 z^2 - 
  18 a^2 z^2 - 11 a^4 z^2 + 4 a^6 z^2 + 3 a^8 z^2 - a z^3 + 
  5 a^3 z^3 + 8 a^5 z^3 - 2 a^9 z^3 + 3 z^4 + 13 a^2 z^4 + 
  10 a^4 z^4 - 6 a^6 z^4 - 6 a^8 z^4 + a z^5 - 3 a^3 z^5 - 
  11 a^5 z^5 - 6 a^7 z^5 + a^9 z^5 - 4 a^2 z^6 - 8 a^4 z^6 - 
  a^6 z^6 + 3 a^8 z^6 + a z^7 + 2 a^3 z^7 + 5 a^5 z^7 + 4 a^7 z^7 + 
  2 a^2 z^8 + 5 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 3 - 1/a^2 + 11 a^2 + 11 a^4 + 3 a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/
  z^2 + (2 a)/z + (2 a^3)/z - z/a - 8 a z - 12 a^3 z - 7 a^5 z - 
  2 a^7 z - 3 z^2 + (3 z^2)/a^2 - 28 a^2 z^2 - 27 a^4 z^2 - 
  5 a^6 z^2 + (6 z^3)/a + 13 a z^3 + 17 a^3 z^3 + 11 a^5 z^3 + 
  a^7 z^3 + 7 z^4 - (4 z^4)/a^2 + 37 a^2 z^4 + 28 a^4 z^4 + 
  2 a^6 z^4 - (8 z^5)/a - 6 a z^5 - 3 a^3 z^5 - 5 a^5 z^5 - 8 z^6 + 
  z^6/a^2 - 21 a^2 z^6 - 12 a^4 z^6 + (2 z^7)/a - 2 a z^7 - 
  3 a^3 z^7 + a^5 z^7 + 2 z^8 + 4 a^2 z^8 + 2 a^4 z^8 + a z^9 + 
  a^3 z^9, 11 - 1/a^6 + 3/a^4 + 11/a^2 + 3 a^2 - 1/z^2 - 1/(
  a^4 z^2) - 2/(a^2 z^2) + 2/(a^3 z) + 2/(a z) - z/a^5 - (8 z)/a^3 - (
  12 z)/a - 7 a z - 2 a^3 z - 26 z^2 + (3 z^2)/a^6 - (19 z^2)/a^2 - 
  10 a^2 z^2 + (3 z^3)/a^5 + (12 z^3)/a^3 + (18 z^3)/a + 16 a z^3 + 
  7 a^3 z^3 + 31 z^4 - (3 z^4)/a^4 + (12 z^4)/a^2 + 16 a^2 z^4 + z^5/
  a^5 - (10 z^5)/a^3 - (15 z^5)/a - 9 a z^5 - 5 a^3 z^5 - 21 z^6 + (
  3 z^6)/a^4 - (8 z^6)/a^2 - 10 a^2 z^6 + (4 z^7)/a^3 + (2 z^7)/a - 
  a z^7 + a^3 z^7 + 5 z^8 + (3 z^8)/a^2 + 2 a^2 z^8 + z^9/a + a z^9, 
 9 - 1/a^6 + 1/a^4 + 7/a^2 + 3 a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) - z/a^5 - (6 z)/a^3 - (10 z)/a - 
  7 a z - 2 a^3 z - 21 z^2 + z^2/a^6 + (3 z^2)/a^4 - (10 z^2)/a^2 - 
  9 a^2 z^2 + (2 z^3)/a^5 + (10 z^3)/a^3 + (14 z^3)/a + 13 a z^3 + 
  7 a^3 z^3 + 26 z^4 - (2 z^4)/a^4 + (9 z^4)/a^2 + 15 a^2 z^4 - (
  7 z^5)/a^3 - (8 z^5)/a - 6 a z^5 - 5 a^3 z^5 - 18 z^6 + z^6/a^4 - (
  7 z^6)/a^2 - 10 a^2 z^6 + (2 z^7)/a^3 - z^7/a - 2 a z^7 + a^3 z^7 + 
  4 z^8 + (2 z^8)/a^2 + 2 a^2 z^8 + z^9/a + a z^9, 
 6 + 13 a^2 + 9 a^4 - a^8 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - 5 a z - 8 a^3 z - 3 a^5 z + a^7 z + a^9 z - 
  14 z^2 - 35 a^2 z^2 - 18 a^4 z^2 + 5 a^6 z^2 + 2 a^8 z^2 - 
  2 a z^3 + 8 a^3 z^3 + 8 a^5 z^3 - 2 a^7 z^3 + 16 z^4 + 40 a^2 z^4 + 
  17 a^4 z^4 - 7 a^6 z^4 + 10 a z^5 + a^3 z^5 - 8 a^5 z^5 + a^7 z^5 - 
  7 z^6 - 19 a^2 z^6 - 10 a^4 z^6 + 2 a^6 z^6 - 6 a z^7 - 4 a^3 z^7 + 
  2 a^5 z^7 + z^8 + 3 a^2 z^8 + 2 a^4 z^8 + a z^9 + a^3 z^9, 
 9 + 6/a^4 + 13/a^2 - a^4 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - (5 z)/a^3 - (8 z)/a - 3 a z + a^3 z + a^5 z - 
  27 z^2 - (10 z^2)/a^4 - (30 z^2)/a^2 - 4 a^2 z^2 + 3 a^4 z^2 + (
  4 z^3)/a^3 + (9 z^3)/a + 9 a z^3 + a^3 z^3 - 3 a^5 z^3 + 39 z^4 + (
  3 z^4)/a^4 + (27 z^4)/a^2 + 9 a^2 z^4 - 6 a^4 z^4 - (3 z^5)/a^3 + 
  z^5/a - 2 a z^5 - 5 a^3 z^5 + a^5 z^5 - 20 z^6 - (11 z^6)/a^2 - 
  7 a^2 z^6 + 2 a^4 z^6 + z^7/a^3 - (3 z^7)/a - 2 a z^7 + 2 a^3 z^7 + 
  4 z^8 + (2 z^8)/a^2 + 2 a^2 z^8 + z^9/a + a z^9, 
 7 + 4/a^4 + 9/a^2 - a^4 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - (3 z)/a^3 - (6 z)/a - 3 a z + a^3 z + a^5 z - 
  21 z^2 - (4 z^2)/a^4 - (20 z^2)/a^2 - 2 a^2 z^2 + 3 a^4 z^2 - z^3/
  a^3 + 5 a z^3 + a^3 z^3 - 3 a^5 z^3 + 30 z^4 + z^4/a^4 + (17 z^4)/
  a^2 + 8 a^2 z^4 - 6 a^4 z^4 + z^5/a^3 + (9 z^5)/a + 2 a z^5 - 
  5 a^3 z^5 + a^5 z^5 - 15 z^6 - (6 z^6)/a^2 - 7 a^2 z^6 + 2 a^4 z^6 -
   (5 z^7)/a - 3 a z^7 + 2 a^3 z^7 + 3 z^8 + z^8/a^2 + 2 a^2 z^8 + 
  z^9/a + a z^9, -a^2 + 3 a^4 + 11 a^6 + 11 a^8 + 3 a^10 - a^4/z^2 - (
  2 a^6)/z^2 - a^8/z^2 + (2 a^5)/z + (2 a^7)/z - a^3 z - 8 a^5 z - 
  12 a^7 z - 7 a^9 z - 2 a^11 z + 4 a^2 z^2 - 3 a^4 z^2 - 
  22 a^6 z^2 - 19 a^8 z^2 - 4 a^10 z^2 + 5 a^3 z^3 + 10 a^5 z^3 + 
  14 a^7 z^3 + 10 a^9 z^3 + a^11 z^3 - 4 a^2 z^4 + 3 a^4 z^4 + 
  27 a^6 z^4 + 22 a^8 z^4 + 2 a^10 z^4 - 7 a^3 z^5 - 6 a^5 z^5 - 
  3 a^7 z^5 - 4 a^9 z^5 + a^2 z^6 - 6 a^4 z^6 - 17 a^6 z^6 - 
  10 a^8 z^6 + 2 a^3 z^7 - a^5 z^7 - 2 a^7 z^7 + a^9 z^7 + 
  2 a^4 z^8 + 4 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 3 - 1/a^2 + 11 a^2 + 11 a^4 + 3 a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/
  z^2 + (2 a)/z + (2 a^3)/z - z/a - 8 a z - 12 a^3 z - 7 a^5 z - 
  2 a^7 z + z^2 + z^2/a^2 - 20 a^2 z^2 - 31 a^4 z^2 - 11 a^6 z^2 + (
  2 z^3)/a + 15 a z^3 + 23 a^3 z^3 + 17 a^5 z^3 + 7 a^7 z^3 - z^4 + 
  19 a^2 z^4 + 36 a^4 z^4 + 16 a^6 z^4 - 11 a z^5 - 16 a^3 z^5 - 
  10 a^5 z^5 - 5 a^7 z^5 + z^6 - 12 a^2 z^6 - 23 a^4 z^6 - 
  10 a^6 z^6 + 3 a z^7 + a^3 z^7 - a^5 z^7 + a^7 z^7 + 3 a^2 z^8 + 
  5 a^4 z^8 + 2 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 1 - 1/a^2 + 7 a^2 + 9 a^4 + 3 a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - z/a - 6 a z - 10 a^3 z - 7 a^5 z - 2 a^7 z + 
  z^2 + (3 z^2)/a^2 - 20 a^2 z^2 - 27 a^4 z^2 - 9 a^6 z^2 + (8 z^3)/
  a + 15 a z^3 + 13 a^3 z^3 + 12 a^5 z^3 + 6 a^7 z^3 + z^4 - (4 z^4)/
  a^2 + 26 a^2 z^4 + 37 a^4 z^4 + 16 a^6 z^4 - (9 z^5)/a - 12 a z^5 - 
  2 a^5 z^5 - 5 a^7 z^5 - 4 z^6 + z^6/a^2 - 14 a^2 z^6 - 20 a^4 z^6 - 
  11 a^6 z^6 + (2 z^7)/a + 2 a z^7 - 5 a^3 z^7 - 4 a^5 z^7 + a^7 z^7 +
   z^8 + 2 a^2 z^8 + 3 a^4 z^8 + 2 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 1 + 3 a^4 + 9 a^6 + 6 a^8 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (
  2 a^5)/z + (2 a^7)/z - 9 a^5 z - 9 a^7 z + 2 a^2 z^2 - 3 a^4 z^2 - 
  16 a^6 z^2 - 11 a^8 z^2 + 5 a z^3 + 19 a^3 z^3 + 21 a^5 z^3 + 
  7 a^7 z^3 - 6 z^4 - 9 a^2 z^4 + 7 a^4 z^4 + 16 a^6 z^4 + 6 a^8 z^4 +
   z^5/a - 15 a z^5 - 36 a^3 z^5 - 23 a^5 z^5 - 3 a^7 z^5 + 5 z^6 - 
  4 a^2 z^6 - 18 a^4 z^6 - 9 a^6 z^6 + 9 a z^7 + 15 a^3 z^7 + 
  9 a^5 z^7 + 3 a^7 z^7 + 7 a^2 z^8 + 12 a^4 z^8 + 5 a^6 z^8 + 
  2 a^3 z^9 + 2 a^5 z^9, -1 - 2/a^6 - 2/a^4 - 1/a^2 - a^2 + 1/(
  a^6 z^2) + 2/(a^4 z^2) + 1/(a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (
  2 z)/a^5 - (2 z)/a^3 - (6 z)/a - 2 a z + 6 z^2 - (9 z^2)/a^6 - (
  17 z^2)/a^4 - (3 z^2)/a^2 + a^2 z^2 + (4 z^3)/a^7 + (6 z^3)/a^5 + (
  18 z^3)/a^3 + (19 z^3)/a + 3 a z^3 - 4 z^4 + (20 z^4)/a^6 + (
  39 z^4)/a^4 + (15 z^4)/a^2 - (4 z^5)/a^7 - (3 z^5)/a^5 - (16 z^5)/
  a^3 - (17 z^5)/a + 2 z^6 - (14 z^6)/a^6 - (33 z^6)/a^4 - (17 z^6)/
  a^2 + z^7/a^7 - (5 z^7)/a^5 - z^7/a^3 + (5 z^7)/a + (3 z^8)/a^6 + (
  8 z^8)/a^4 + (5 z^8)/a^2 + (2 z^9)/a^5 + (2 z^9)/a^3, -3 a^6 + 
  5 a^8 + 21 a^10 + 18 a^12 + 4 a^14 - (2 a^8)/z^2 - (5 a^10)/z^2 - (
  4 a^12)/z^2 - a^14/z^2 + (5 a^9)/z + (9 a^11)/z + (5 a^13)/z + a^15/
  z + a^7 z - 20 a^9 z - 39 a^11 z - 23 a^13 z - 5 a^15 z + 
  8 a^6 z^2 - 3 a^8 z^2 - 37 a^10 z^2 - 34 a^12 z^2 - 8 a^14 z^2 + 
  a^7 z^3 + 30 a^9 z^3 + 57 a^11 z^3 + 36 a^13 z^3 + 8 a^15 z^3 - 
  6 a^6 z^4 + 3 a^8 z^4 + 38 a^10 z^4 + 41 a^12 z^4 + 12 a^14 z^4 - 
  a^7 z^5 - 17 a^9 z^5 - 32 a^11 z^5 - 21 a^13 z^5 - 5 a^15 z^5 + 
  a^6 z^6 - a^8 z^6 - 21 a^10 z^6 - 28 a^12 z^6 - 9 a^14 z^6 + 
  3 a^9 z^7 + 3 a^11 z^7 + a^13 z^7 + a^15 z^7 + 4 a^10 z^8 + 
  6 a^12 z^8 + 2 a^14 z^8 + a^11 z^9 + a^13 z^9, -1 - a^2 + 12 a^4 + 
  23 a^6 + 12 a^8 - a^2/z^2 - (4 a^4)/z^2 - (5 a^6)/z^2 - (2 a^8)/
  z^2 + a/z + (5 a^3)/z + (9 a^5)/z + (5 a^7)/z + z/a - 15 a^3 z - 
  35 a^5 z - 21 a^7 z + 3 z^2 + 8 a^2 z^2 - 12 a^4 z^2 - 41 a^6 z^2 - 
  24 a^8 z^2 - (2 z^3)/a - 2 a z^3 + 17 a^3 z^3 + 42 a^5 z^3 + 
  25 a^7 z^3 - 7 z^4 - 12 a^2 z^4 + 9 a^4 z^4 + 35 a^6 z^4 + 
  21 a^8 z^4 + z^5/a - 5 a z^5 - 11 a^3 z^5 - 15 a^5 z^5 - 
  10 a^7 z^5 + 3 z^6 + 3 a^2 z^6 - 3 a^4 z^6 - 11 a^6 z^6 - 
  8 a^8 z^6 + 3 a z^7 + 4 a^3 z^7 + 2 a^5 z^7 + a^7 z^7 + a^2 z^8 + 
  a^4 z^8 + a^6 z^8 + a^8 z^8, -2 a^2 + 4 a^4 + 16 a^6 + 15 a^8 + 
  4 a^10 - (2 a^4)/z^2 - (5 a^6)/z^2 - (4 a^8)/z^2 - a^10/z^2 + (
  5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/z + a^3 z - 13 a^5 z - 
  30 a^7 z - 22 a^9 z - 6 a^11 z + 5 a^2 z^2 + 2 a^4 z^2 - 
  19 a^6 z^2 - 22 a^8 z^2 - 6 a^10 z^2 + 4 a^3 z^3 + 15 a^5 z^3 + 
  34 a^7 z^3 + 33 a^9 z^3 + 10 a^11 z^3 - 4 a^2 z^4 - 6 a^4 z^4 + 
  11 a^6 z^4 + 22 a^8 z^4 + 9 a^10 z^4 - 7 a^3 z^5 - 12 a^5 z^5 - 
  15 a^7 z^5 - 16 a^9 z^5 - 6 a^11 z^5 + a^2 z^6 - a^4 z^6 - 
  5 a^6 z^6 - 9 a^8 z^6 - 6 a^10 z^6 + 2 a^3 z^7 + 3 a^5 z^7 + 
  2 a^7 z^7 + 2 a^9 z^7 + a^11 z^7 + a^4 z^8 + a^6 z^8 + a^8 z^8 + 
  a^10 z^8, 
 11 - 1/a^4 + 18 a^2 + 9 a^4 - 4/z^2 - 1/(a^2 z^2) - (5 a^2)/z^2 - (
  2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/z + z/a^5 - (
  3 z)/a^3 - (20 z)/a - 32 a z - 16 a^3 z - 10 z^2 + (3 z^2)/a^4 + (
  6 z^2)/a^2 - 26 a^2 z^2 - 13 a^4 z^2 - (2 z^3)/a^5 + (5 z^3)/a^3 + (
  36 z^3)/a + 43 a z^3 + 14 a^3 z^3 + 7 z^4 - (5 z^4)/a^4 - (10 z^4)/
  a^2 + 18 a^2 z^4 + 6 a^4 z^4 + z^5/a^5 - (8 z^5)/a^3 - (35 z^5)/a - 
  32 a z^5 - 6 a^3 z^5 - 11 z^6 + (3 z^6)/a^4 - 8 a^2 z^6 + (5 z^7)/
  a^3 + (13 z^7)/a + 11 a z^7 + 3 a^3 z^7 + 8 z^8 + (4 z^8)/a^2 + 
  4 a^2 z^8 + z^9/a + a z^9, 
 7 - 2/a^2 + 21 a^2 + 16 a^4 + 3 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/
  z^2 - a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z + z/a - 
  18 a z - 33 a^3 z - 17 a^5 z - 3 a^7 z - 9 z^2 + (5 z^2)/a^2 - 
  34 a^2 z^2 - 24 a^4 z^2 - 4 a^6 z^2 + (2 z^3)/a + 28 a z^3 + 
  43 a^3 z^3 + 20 a^5 z^3 + 3 a^7 z^3 + 8 z^4 - (4 z^4)/a^2 + 
  27 a^2 z^4 + 19 a^4 z^4 + 4 a^6 z^4 - (5 z^5)/a - 25 a z^5 - 
  29 a^3 z^5 - 9 a^5 z^5 - 8 z^6 + z^6/a^2 - 19 a^2 z^6 - 9 a^4 z^6 + 
  a^6 z^6 + (2 z^7)/a + 6 a z^7 + 8 a^3 z^7 + 4 a^5 z^7 + 3 z^8 + 
  7 a^2 z^8 + 4 a^4 z^8 + a z^9 + a^3 z^9, 
 17 - 1/a^4 + 2/a^2 + 24 a^2 + 11 a^4 - 4/z^2 - 1/(a^2 z^2) - (5 a^2)/
  z^2 - (2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/z + (
  2 z)/a^5 - (2 z)/a^3 - (23 z)/a - 37 a z - 18 a^3 z - 33 z^2 + (
  4 z^2)/a^4 + z^2/a^2 - 51 a^2 z^2 - 21 a^4 z^2 - (4 z^3)/a^5 + z^3/
  a^3 + (40 z^3)/a + 52 a z^3 + 17 a^3 z^3 + 42 z^4 - (5 z^4)/a^4 - (
  3 z^4)/a^2 + 58 a^2 z^4 + 18 a^4 z^4 + z^5/a^5 - z^5/a^3 - (25 z^5)/
  a - 24 a z^5 - a^3 z^5 - 24 z^6 + z^6/a^4 - 30 a^2 z^6 - 
  7 a^4 z^6 + (4 z^7)/a - 4 a^3 z^7 + 4 z^8 + 5 a^2 z^8 + a^4 z^8 + 
  a z^9 + a^3 z^9, 
 5 + 2/a^2 - a^2 - 8 a^4 - 5 a^6 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (
  2 a^3)/z - (2 a^5)/z - (2 z)/a^3 - (4 z)/a + 8 a^3 z + 6 a^5 z - 
  20 z^2 - (7 z^2)/a^2 - 8 a^2 z^2 + 13 a^4 z^2 + 8 a^6 z^2 + (3 z^3)/
  a^3 + (9 z^3)/a - a z^3 - 10 a^3 z^3 - 3 a^5 z^3 + 23 z^4 + (4 z^4)/
  a^2 + 15 a^2 z^4 - 9 a^4 z^4 - 5 a^6 z^4 - (6 z^5)/a + 4 a^3 z^5 - 
  2 a^5 z^5 - 10 z^6 + z^6/a^2 - 12 a^2 z^6 + a^6 z^6 + (3 z^7)/a - 
  2 a^3 z^7 + a^5 z^7 + 3 z^8 + 4 a^2 z^8 + a^4 z^8 + a z^9 + a^3 z^9,
  6 + 13 a^2 + 9 a^4 - a^8 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - 5 a z - 8 a^3 z - 3 a^5 z + a^7 z + a^9 z - 8 z^2 - 
  28 a^2 z^2 - 21 a^4 z^2 + 2 a^6 z^2 + 3 a^8 z^2 + 3 a z^3 + 
  11 a^3 z^3 + 9 a^5 z^3 - a^7 z^3 - 2 a^9 z^3 + 3 z^4 + 22 a^2 z^4 + 
  21 a^4 z^4 - 4 a^6 z^4 - 6 a^8 z^4 - a z^5 - 4 a^3 z^5 - 
  10 a^5 z^5 - 6 a^7 z^5 + a^9 z^5 - 7 a^2 z^6 - 12 a^4 z^6 - 
  2 a^6 z^6 + 3 a^8 z^6 + a z^7 + a^3 z^7 + 4 a^5 z^7 + 4 a^7 z^7 + 
  2 a^2 z^8 + 5 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 1/a^12 + 5/a^8 + 13/a^6 + 8/a^4 - 1/(a^8 z^2) - 2/(a^6 z^2) - 1/(
  a^4 z^2) + 2/(a^7 z) + 2/(a^5 z) - (11 z)/a^7 - (11 z)/a^5 - (
  4 z^2)/a^12 - z^2/a^10 - (16 z^2)/a^8 - (37 z^2)/a^6 - (18 z^2)/
  a^4 - z^3/a^11 + (11 z^3)/a^9 + (20 z^3)/a^7 + (8 z^3)/a^5 + z^4/
  a^12 - z^4/a^10 + (29 z^4)/a^8 + (48 z^4)/a^6 + (17 z^4)/a^4 - (
  11 z^5)/a^9 - (7 z^5)/a^7 + (4 z^5)/a^5 - (18 z^6)/a^8 - (25 z^6)/
  a^6 - (7 z^6)/a^4 + (2 z^7)/a^9 - (3 z^7)/a^7 - (5 z^7)/a^5 + (
  3 z^8)/a^8 + (4 z^8)/a^6 + z^8/a^4 + z^9/a^7 + z^9/a^5, 
 3 - 1/a^2 + 11 a^2 + 11 a^4 + 3 a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/
  z^2 + (2 a)/z + (2 a^3)/z - z/a - 8 a z - 12 a^3 z - 7 a^5 z - 
  2 a^7 z + (3 z^2)/a^2 - 23 a^2 z^2 - 26 a^4 z^2 - 6 a^6 z^2 + (
  6 z^3)/a + 17 a z^3 + 23 a^3 z^3 + 15 a^5 z^3 + 3 a^7 z^3 + z^4 - (
  3 z^4)/a^2 + 25 a^2 z^4 + 27 a^4 z^4 + 6 a^6 z^4 - (8 z^5)/a - 
  21 a z^5 - 22 a^3 z^5 - 9 a^5 z^5 - 8 z^6 + z^6/a^2 - 25 a^2 z^6 - 
  15 a^4 z^6 + a^6 z^6 + (3 z^7)/a + 4 a z^7 + 6 a^3 z^7 + 
  5 a^5 z^7 + 4 z^8 + 10 a^2 z^8 + 6 a^4 z^8 + 2 a z^9 + 
  2 a^3 z^9, -2 a^2 + 3 a^4 + 9 a^6 + 3 a^8 - 2 a^10 - a^4/z^2 - (
  2 a^6)/z^2 - a^8/z^2 + (2 a^5)/z + (2 a^7)/z + a^3 z - 8 a^5 z - 
  8 a^7 z + a^9 z + 5 a^2 z^2 + 3 a^4 z^2 - 13 a^6 z^2 - 3 a^8 z^2 + 
  8 a^10 z^2 + 4 a^3 z^3 + 12 a^5 z^3 + 10 a^7 z^3 + 2 a^9 z^3 - 
  4 a^2 z^4 - 6 a^4 z^4 + 8 a^6 z^4 + 4 a^8 z^4 - 6 a^10 z^4 - 
  7 a^3 z^5 - 11 a^5 z^5 - 5 a^7 z^5 - a^9 z^5 + a^2 z^6 - a^4 z^6 - 
  4 a^6 z^6 - a^8 z^6 + a^10 z^6 + 2 a^3 z^7 + 3 a^5 z^7 + a^7 z^7 + 
  a^4 z^8 + a^6 z^8, -a^2 + 3 a^4 + 11 a^6 + 11 a^8 + 3 a^10 - a^4/
  z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/z + (2 a^7)/z - a^3 z - 
  8 a^5 z - 12 a^7 z - 7 a^9 z - 2 a^11 z + 4 a^2 z^2 - a^4 z^2 - 
  24 a^6 z^2 - 29 a^8 z^2 - 10 a^10 z^2 + 6 a^3 z^3 + 14 a^5 z^3 + 
  16 a^7 z^3 + 14 a^9 z^3 + 6 a^11 z^3 - 4 a^2 z^4 - a^4 z^4 + 
  27 a^6 z^4 + 40 a^8 z^4 + 16 a^10 z^4 - 8 a^3 z^5 - 11 a^5 z^5 - 
  a^7 z^5 - 3 a^9 z^5 - 5 a^11 z^5 + a^2 z^6 - 3 a^4 z^6 - 
  14 a^6 z^6 - 21 a^8 z^6 - 11 a^10 z^6 + 2 a^3 z^7 + 2 a^5 z^7 - 
  5 a^7 z^7 - 4 a^9 z^7 + a^11 z^7 + a^4 z^8 + 2 a^6 z^8 + 
  3 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + a^9 z^9, 
 3 - 2/a^6 + 3/a^4 + 9/a^2 - 2 a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) + z/a^5 - (8 z)/a^3 - (8 z)/a + 
  a z - 6 z^2 - z^2/a^6 - (6 z^2)/a^4 - (16 z^2)/a^2 + 5 a^2 z^2 + 
  z^3/a^7 + z^3/a^5 + (15 z^3)/a^3 + (17 z^3)/a + 2 a z^3 + 7 z^4 + (
  5 z^4)/a^6 + (8 z^4)/a^4 + (14 z^4)/a^2 - 4 a^2 z^4 - (15 z^5)/
  a^3 - (20 z^5)/a - 5 a z^5 - 8 z^6 - (5 z^6)/a^4 - (14 z^6)/a^2 + 
  a^2 z^6 + (2 z^7)/a^5 + (5 z^7)/a^3 + (5 z^7)/a + 2 a z^7 + 
  3 z^8 + (3 z^8)/a^4 + (6 z^8)/a^2 + z^9/a^3 + z^9/a, 
 9 - 1/a^4 + 13 a^2 + 6 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z + z/a^5 + z/a^3 - (3 z)/a - 8 a z - 5 a^3 z - 
  23 z^2 + (4 z^2)/a^4 + (2 z^2)/a^2 - 36 a^2 z^2 - 15 a^4 z^2 - (
  3 z^3)/a^5 + (10 z^3)/a + 6 a z^3 - a^3 z^3 + 31 z^4 - (7 z^4)/
  a^4 - (4 z^4)/a^2 + 44 a^2 z^4 + 16 a^4 z^4 + z^5/a^5 - (3 z^5)/
  a^3 - (7 z^5)/a + 6 a z^5 + 9 a^3 z^5 - 15 z^6 + (2 z^6)/a^4 + z^6/
  a^2 - 21 a^2 z^6 - 7 a^4 z^6 + z^7/a^3 + z^7/a - 6 a z^7 - 
  6 a^3 z^7 + 2 z^8 + 3 a^2 z^8 + a^4 z^8 + a z^9 + a^3 z^9, 
 9 - 1/a^4 + 13 a^2 + 6 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z + z/a^5 + z/a^3 - (3 z)/a - 8 a z - 5 a^3 z - 
  22 z^2 + (3 z^2)/a^4 - z^2/a^2 - 29 a^2 z^2 - 11 a^4 z^2 - (2 z^3)/
  a^5 + (2 z^3)/a^3 + (12 z^3)/a + 12 a z^3 + 4 a^3 z^3 + 24 z^4 - (
  5 z^4)/a^4 + 25 a^2 z^4 + 6 a^4 z^4 + z^5/a^5 - (7 z^5)/a^3 - (
  18 z^5)/a - 13 a z^5 - 3 a^3 z^5 - 20 z^6 + (3 z^6)/a^4 - (5 z^6)/
  a^2 - 12 a^2 z^6 + (5 z^7)/a^3 + (7 z^7)/a + 5 a z^7 + 3 a^3 z^7 + 
  10 z^8 + (5 z^8)/a^2 + 5 a^2 z^8 + (2 z^9)/a + 2 a z^9, -1 + 
  9 a^4 + 13 a^6 + 6 a^8 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/
  z + (2 a^7)/z + z/a + a z - 3 a^3 z - 8 a^5 z - 5 a^7 z + 3 z^2 + 
  4 a^2 z^2 - 23 a^4 z^2 - 38 a^6 z^2 - 14 a^8 z^2 - (2 z^3)/a - 
  3 a z^3 + 7 a^3 z^3 + 5 a^5 z^3 - 3 a^7 z^3 - 7 z^4 - 9 a^2 z^4 + 
  28 a^4 z^4 + 45 a^6 z^4 + 15 a^8 z^4 + z^5/a - 5 a z^5 - 
  7 a^3 z^5 + 11 a^5 z^5 + 12 a^7 z^5 + 3 z^6 + 2 a^2 z^6 - 
  12 a^4 z^6 - 18 a^6 z^6 - 7 a^8 z^6 + 3 a z^7 + 3 a^3 z^7 - 
  7 a^5 z^7 - 7 a^7 z^7 + a^2 z^8 + 2 a^4 z^8 + 2 a^6 z^8 + a^8 z^8 + 
  a^5 z^9 + a^7 z^9, -9 - 4/a^2 - 6 a^2 + 2 a^4 + 2 a^6 + 2/z^2 + 1/(
  a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (3 z)/a + 7 a z + 
  3 a^3 z - 3 a^5 z - 2 a^7 z + 19 z^2 + (6 z^2)/a^2 + 11 a^2 z^2 - 
  5 a^4 z^2 - 3 a^6 z^2 + (2 z^3)/a - 2 a z^3 - 2 a^3 z^3 + 
  5 a^5 z^3 + 3 a^7 z^3 - 14 z^4 - (4 z^4)/a^2 - 11 a^2 z^4 + 
  3 a^4 z^4 + 4 a^6 z^4 - (5 z^5)/a - 11 a z^5 - 8 a^3 z^5 - 
  2 a^5 z^5 + z^6/a^2 - 4 a^2 z^6 - 2 a^4 z^6 + a^6 z^6 + (2 z^7)/a + 
  4 a z^7 + 5 a^3 z^7 + 3 a^5 z^7 + 2 z^8 + 5 a^2 z^8 + 3 a^4 z^8 + 
  a z^9 + a^3 z^9, -2 a^2 + 2 a^4 + 12 a^6 + 12 a^8 + 3 a^10 - a^4/
  z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/z + (2 a^7)/z - a^3 z - 
  10 a^5 z - 14 a^7 z - 7 a^9 z - 2 a^11 z + 6 a^2 z^2 + 4 a^4 z^2 - 
  26 a^6 z^2 - 35 a^8 z^2 - 11 a^10 z^2 + 5 a^3 z^3 + 14 a^5 z^3 + 
  19 a^7 z^3 + 16 a^9 z^3 + 6 a^11 z^3 - 5 a^2 z^4 - 6 a^4 z^4 + 
  28 a^6 z^4 + 46 a^8 z^4 + 17 a^10 z^4 - 5 a^3 z^5 - 8 a^5 z^5 - 
  4 a^7 z^5 - 6 a^9 z^5 - 5 a^11 z^5 + a^2 z^6 + a^4 z^6 - 
  14 a^6 z^6 - 25 a^8 z^6 - 11 a^10 z^6 + a^3 z^7 + a^5 z^7 - 
  4 a^7 z^7 - 3 a^9 z^7 + a^11 z^7 + 2 a^6 z^8 + 4 a^8 z^8 + 
  2 a^10 z^8 + a^7 z^9 + a^9 z^9, -a^2 + 2 a^4 + 6 a^6 + 4 a^8 - a^4/
  z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/z + (2 a^7)/z - 5 a^5 z - 
  5 a^7 z + 2 z^2 + 5 a^2 z^2 - a^4 z^2 - 10 a^6 z^2 - 6 a^8 z^2 - 
  z^3/a + 4 a z^3 + 11 a^3 z^3 + 7 a^5 z^3 + a^7 z^3 - 7 z^4 - 
  9 a^2 z^4 + 2 a^4 z^4 + 7 a^6 z^4 + 3 a^8 z^4 + z^5/a - 11 a z^5 - 
  20 a^3 z^5 - 7 a^5 z^5 + a^7 z^5 + 4 z^6 - a^2 z^6 - 7 a^4 z^6 - 
  2 a^6 z^6 + 6 a z^7 + 9 a^3 z^7 + 4 a^5 z^7 + a^7 z^7 + 4 a^2 z^8 + 
  6 a^4 z^8 + 2 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 2 - 1/a^2 + 6 a^2 + 4 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - 5 a z - 5 a^3 z + 3 z^2 + (3 z^2)/a^2 - 6 a^2 z^2 - 
  8 a^4 z^2 - 2 a^6 z^2 + (6 z^3)/a + 11 a z^3 + 4 a^3 z^3 + 
  a^7 z^3 - 2 z^4 - (3 z^4)/a^2 + 5 a^2 z^4 + 8 a^4 z^4 + 
  4 a^6 z^4 - (9 z^5)/a - 16 a z^5 - 5 a^3 z^5 + 2 a^5 z^5 - 6 z^6 + 
  z^6/a^2 - 10 a^2 z^6 - 3 a^4 z^6 + (3 z^7)/a + 4 a z^7 + 2 a^3 z^7 +
   a^5 z^7 + 3 z^8 + 5 a^2 z^8 + 2 a^4 z^8 + a z^9 + a^3 z^9, 
 8 - 1/a^4 - 1/a^2 + 14 a^2 + 7 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/
  z^2 + (2 a)/z + (2 a^3)/z + z/a^5 + z/a^3 - (3 z)/a - 10 a z - 
  7 a^3 z - 20 z^2 + (2 z^2)/a^4 + (3 z^2)/a^2 - 38 a^2 z^2 - 
  17 a^4 z^2 - (2 z^3)/a^3 + (11 z^3)/a + 18 a z^3 + 5 a^3 z^3 + 
  24 z^4 - (6 z^4)/a^2 + 47 a^2 z^4 + 17 a^4 z^4 + z^5/a^3 - (12 z^5)/
  a - 8 a z^5 + 5 a^3 z^5 - 15 z^6 + (2 z^6)/a^2 - 24 a^2 z^6 - 
  7 a^4 z^6 + (3 z^7)/a - 2 a z^7 - 5 a^3 z^7 + 3 z^8 + 4 a^2 z^8 + 
  a^4 z^8 + a z^9 + a^3 z^9, 
 10 + 2/a^2 + 12 a^2 + 4 a^4 - a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - (2 z)/a^3 - (7 z)/a - 14 a z - 10 a^3 z - 
  a^5 z - 26 z^2 - (5 z^2)/a^2 - 30 a^2 z^2 - 5 a^4 z^2 + 4 a^6 z^2 + 
  z^3/a^3 + (15 z^3)/a + 24 a z^3 + 15 a^3 z^3 + 5 a^5 z^3 + 
  32 z^4 + (3 z^4)/a^2 + 37 a^2 z^4 + 4 a^4 z^4 - 4 a^6 z^4 - (8 z^5)/
  a - 11 a z^5 - 10 a^3 z^5 - 7 a^5 z^5 - 15 z^6 - 22 a^2 z^6 - 
  6 a^4 z^6 + a^6 z^6 + (2 z^7)/a + 2 a^5 z^7 + 3 z^8 + 5 a^2 z^8 + 
  2 a^4 z^8 + a z^9 + a^3 z^9, 
 8 - 1/a^4 - 1/a^2 + 14 a^2 + 7 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/
  z^2 + (2 a)/z + (2 a^3)/z + z/a^5 + z/a^3 - (3 z)/a - 10 a z - 
  7 a^3 z - 24 z^2 + (5 z^2)/a^4 + (5 z^2)/a^2 - 40 a^2 z^2 - 
  16 a^4 z^2 - (3 z^3)/a^5 - (2 z^3)/a^3 + (9 z^3)/a + 10 a z^3 + 
  2 a^3 z^3 + 32 z^4 - (7 z^4)/a^4 - (7 z^4)/a^2 + 48 a^2 z^4 + 
  16 a^4 z^4 + z^5/a^5 - (2 z^5)/a^3 - (6 z^5)/a + 5 a z^5 + 
  8 a^3 z^5 - 15 z^6 + (2 z^6)/a^4 + (2 z^6)/a^2 - 22 a^2 z^6 - 
  7 a^4 z^6 + z^7/a^3 + z^7/a - 6 a z^7 - 6 a^3 z^7 + 2 z^8 + 
  3 a^2 z^8 + a^4 z^8 + a z^9 + a^3 z^9, 
 3 - 1/a^2 + 13 a^2 + 15 a^4 + 5 a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/
  z^2 + (2 a)/z + (2 a^3)/z - z/a - 7 a z - 13 a^3 z - 10 a^5 z - 
  3 a^7 z - 2 z^2 + (3 z^2)/a^2 - 31 a^2 z^2 - 38 a^4 z^2 - 
  12 a^6 z^2 + (6 z^3)/a + 10 a z^3 + 13 a^3 z^3 + 18 a^5 z^3 + 
  9 a^7 z^3 + 6 z^4 - (4 z^4)/a^2 + 35 a^2 z^4 + 39 a^4 z^4 + 
  14 a^6 z^4 - (8 z^5)/a - 3 a z^5 + 2 a^3 z^5 - 9 a^5 z^5 - 
  6 a^7 z^5 - 8 z^6 + z^6/a^2 - 18 a^2 z^6 - 16 a^4 z^6 - 
  7 a^6 z^6 + (2 z^7)/a - 3 a z^7 - 5 a^3 z^7 + a^5 z^7 + a^7 z^7 + 
  2 z^8 + 3 a^2 z^8 + 2 a^4 z^8 + a^6 z^8 + a z^9 + a^3 z^9, -2 a^2 + 
  3 a^4 + 11 a^6 + 7 a^8 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/
  z + (2 a^7)/z + a^3 z - 7 a^5 z - 9 a^7 z - 2 a^9 z - a^11 z + 
  3 a^2 z^2 - 3 a^4 z^2 - 25 a^6 z^2 - 27 a^8 z^2 - 8 a^10 z^2 + 
  a^3 z^3 + 10 a^5 z^3 + 17 a^7 z^3 + 12 a^9 z^3 + 4 a^11 z^3 + 
  28 a^6 z^4 + 47 a^8 z^4 + 19 a^10 z^4 + a^3 z^5 - 10 a^5 z^5 - 
  12 a^7 z^5 - 5 a^9 z^5 - 4 a^11 z^5 + 2 a^4 z^6 - 19 a^6 z^6 - 
  35 a^8 z^6 - 14 a^10 z^6 + 4 a^5 z^7 - 2 a^7 z^7 - 5 a^9 z^7 + 
  a^11 z^7 + 5 a^6 z^8 + 8 a^8 z^8 + 3 a^10 z^8 + 2 a^7 z^9 + 
  2 a^9 z^9, 
 1 + 8/a^8 + 15/a^6 + 9/a^4 + 2/a^2 - 1/(a^8 z^2) - 2/(a^6 z^2) - 1/(
  a^4 z^2) + 2/(a^7 z) + 2/(a^5 z) - (10 z)/a^7 - (12 z)/a^5 - (3 z)/
  a^3 - z/a + 2 z^2 - (14 z^2)/a^8 - (33 z^2)/a^6 - (24 z^2)/a^4 - (
  3 z^2)/a^2 + (10 z^3)/a^7 + (20 z^3)/a^5 + (14 z^3)/a^3 + (3 z^3)/
  a - a z^3 - 7 z^4 + (6 z^4)/a^8 + (33 z^4)/a^6 + (33 z^4)/a^4 - z^4/
  a^2 - (6 z^5)/a^7 - (13 z^5)/a^5 - (18 z^5)/a^3 - (10 z^5)/a + 
  a z^5 + 4 z^6 - (16 z^6)/a^6 - (25 z^6)/a^4 - (5 z^6)/a^2 + (3 z^7)/
  a^7 + (3 z^7)/a^5 + (6 z^7)/a^3 + (6 z^7)/a + (5 z^8)/a^6 + (
  10 z^8)/a^4 + (5 z^8)/a^2 + (2 z^9)/a^5 + (2 z^9)/a^3, 
 6 + 15 a^2 + 13 a^4 + 2 a^6 - a^8 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - 4 a z - 9 a^3 z - 6 a^5 z + a^9 z - 13 z^2 - 
  41 a^2 z^2 - 34 a^4 z^2 - 3 a^6 z^2 + 3 a^8 z^2 - 5 a z^3 + 
  3 a^3 z^3 + 14 a^5 z^3 + 3 a^7 z^3 - 3 a^9 z^3 + 15 z^4 + 
  43 a^2 z^4 + 37 a^4 z^4 + 3 a^6 z^4 - 6 a^8 z^4 + 13 a z^5 + 
  11 a^3 z^5 - 9 a^5 z^5 - 6 a^7 z^5 + a^9 z^5 - 7 z^6 - 17 a^2 z^6 - 
  15 a^4 z^6 - 3 a^6 z^6 + 2 a^8 z^6 - 7 a z^7 - 7 a^3 z^7 + 
  2 a^5 z^7 + 2 a^7 z^7 + z^8 + 2 a^2 z^8 + 2 a^4 z^8 + a^6 z^8 + 
  a z^9 + a^3 z^9, 
 3 + 2/a^6 + 7/a^4 + 7/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - z/a^7 - (3 z)/a^5 - (4 z)/a^3 - (2 z)/a - 
  3 z^2 + (2 z^2)/a^8 - (5 z^2)/a^6 - (21 z^2)/a^4 - (17 z^2)/a^2 - (
  2 z^3)/a^9 + (6 z^3)/a^7 + (9 z^3)/a^5 - z^3/a^3 - (2 z^3)/a + 
  z^4 - (7 z^4)/a^8 + (7 z^4)/a^6 + (27 z^4)/a^4 + (14 z^4)/a^2 + z^5/
  a^9 - (10 z^5)/a^7 - (6 z^5)/a^5 + (7 z^5)/a^3 + (2 z^5)/a + (
  3 z^6)/a^8 - (7 z^6)/a^6 - (14 z^6)/a^4 - (4 z^6)/a^2 + (4 z^7)/
  a^7 + z^7/a^5 - (3 z^7)/a^3 + (3 z^8)/a^6 + (4 z^8)/a^4 + z^8/a^2 + 
  z^9/a^5 + z^9/a^3, 
 7 a^4 + 11 a^6 + 3 a^8 - 2 a^10 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (
  2 a^5)/z + (2 a^7)/z - a z - 2 a^3 z - 9 a^5 z - 7 a^7 z + a^9 z - 
  4 a^2 z^2 - 21 a^4 z^2 - 23 a^6 z^2 - a^8 z^2 + 5 a^10 z^2 + 
  a z^3 + 9 a^3 z^3 + 14 a^5 z^3 + 9 a^7 z^3 + 3 a^9 z^3 + 
  4 a^2 z^4 + 26 a^4 z^4 + 25 a^6 z^4 - a^8 z^4 - 4 a^10 z^4 - 
  5 a^3 z^5 - 8 a^5 z^5 - 9 a^7 z^5 - 6 a^9 z^5 - 12 a^4 z^6 - 
  17 a^6 z^6 - 4 a^8 z^6 + a^10 z^6 + 2 a^3 z^7 + a^5 z^7 + a^7 z^7 + 
  2 a^9 z^7 + 3 a^4 z^8 + 5 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 1/a^12 + 2/a^10 + 9/a^8 + 15/a^6 + 8/a^4 - 1/(a^8 z^2) - 2/(
  a^6 z^2) - 1/(a^4 z^2) + 2/(a^7 z) + 2/(a^5 z) - z/a^11 - (3 z)/
  a^9 - (12 z)/a^7 - (10 z)/a^5 - (5 z^2)/a^10 - (26 z^2)/a^8 - (
  39 z^2)/a^6 - (18 z^2)/a^4 + (11 z^3)/a^9 + (19 z^3)/a^7 + (8 z^3)/
  a^5 + z^4/a^10 + (33 z^4)/a^8 + (49 z^4)/a^6 + (17 z^4)/a^4 - (
  10 z^5)/a^9 - (6 z^5)/a^7 + (4 z^5)/a^5 - (18 z^6)/a^8 - (25 z^6)/
  a^6 - (7 z^6)/a^4 + (2 z^7)/a^9 - (3 z^7)/a^7 - (5 z^7)/a^5 + (
  3 z^8)/a^8 + (4 z^8)/a^6 + z^8/a^4 + z^9/a^7 + z^9/a^5, 
 7 + 2/a^2 + 7 a^2 + 3 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - z/a^3 - (3 z)/a - 4 a z - 2 a^3 z - 21 z^2 - (
  9 z^2)/a^2 - 13 a^2 z^2 - a^4 z^2 + (6 z^3)/a^3 + (5 z^3)/a - 
  a z^3 + 29 z^4 + (17 z^4)/a^2 + 12 a^2 z^4 - (5 z^5)/a^3 + z^5/a + 
  6 a z^5 - 17 z^6 - (11 z^6)/a^2 - 6 a^2 z^6 + z^7/a^3 - (4 z^7)/a - 
  5 a z^7 + 3 z^8 + (2 z^8)/a^2 + a^2 z^8 + z^9/a + a z^9, -5 a^2 - 
  8 a^4 - a^6 + 5 a^8 + 2 a^10 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (
  2 a^3)/z - (2 a^5)/z + 6 a^3 z + 8 a^5 z - 4 a^9 z - 2 a^11 z + 
  8 a^2 z^2 + 15 a^4 z^2 - 6 a^6 z^2 - 22 a^8 z^2 - 9 a^10 z^2 - 
  2 a^3 z^3 - 8 a^5 z^3 - a^7 z^3 + 11 a^9 z^3 + 6 a^11 z^3 - 
  5 a^2 z^4 - 14 a^4 z^4 + 11 a^6 z^4 + 36 a^8 z^4 + 16 a^10 z^4 - 
  3 a^3 z^5 + a^5 z^5 + 7 a^7 z^5 - 2 a^9 z^5 - 5 a^11 z^5 + 
  a^2 z^6 + 3 a^4 z^6 - 7 a^6 z^6 - 20 a^8 z^6 - 11 a^10 z^6 + 
  a^3 z^7 - 6 a^7 z^7 - 4 a^9 z^7 + a^11 z^7 + a^6 z^8 + 3 a^8 z^8 + 
  2 a^10 z^8 + a^7 z^9 + a^9 z^9, -3 a^2 - 4 a^4 - a^6 + a^8 + a^2/
  z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z + 4 a^3 z + 
  4 a^5 z + 2 z^2 + 5 a^2 z^2 + a^4 z^2 - 4 a^6 z^2 - 2 a^8 z^2 - z^3/
  a + 2 a z^3 + 3 a^3 z^3 - 3 a^5 z^3 - 3 a^7 z^3 - 7 z^4 - 
  6 a^2 z^4 + 6 a^4 z^4 + 6 a^6 z^4 + a^8 z^4 + z^5/a - 11 a z^5 - 
  12 a^3 z^5 + 3 a^5 z^5 + 3 a^7 z^5 + 4 z^6 - 3 a^2 z^6 - 8 a^4 z^6 -
   a^6 z^6 + 6 a z^7 + 6 a^3 z^7 + 4 a^2 z^8 + 5 a^4 z^8 + a^6 z^8 + 
  a^3 z^9 + a^5 z^9, -1 - 1/a^2 - a^2 - 2 a^4 - 2 a^6 + a^2/z^2 + (
  2 a^4)/z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z - (2 z)/a - 6 a z - 
  2 a^3 z + 2 a^5 z + 8 z^2 + (3 z^2)/a^2 + 3 a^2 z^2 - 3 a^4 z^2 - 
  a^6 z^2 + (8 z^3)/a + 19 a z^3 + 12 a^3 z^3 + 2 a^5 z^3 + a^7 z^3 - 
  7 z^4 - (3 z^4)/a^2 - 3 a^2 z^4 + 6 a^4 z^4 + 5 a^6 z^4 - (9 z^5)/
  a - 25 a z^5 - 16 a^3 z^5 - 4 z^6 + z^6/a^2 - 9 a^2 z^6 - 
  4 a^4 z^6 + (3 z^7)/a + 7 a z^7 + 6 a^3 z^7 + 2 a^5 z^7 + 3 z^8 + 
  6 a^2 z^8 + 3 a^4 z^8 + a z^9 + a^3 z^9, 
 4 - 1/a^2 + 12 a^2 + 10 a^4 + 2 a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/
  z^2 + (2 a)/z + (2 a^3)/z - z/a - 10 a z - 14 a^3 z - 7 a^5 z - 
  2 a^7 z - 3 z^2 + (3 z^2)/a^2 - 26 a^2 z^2 - 28 a^4 z^2 - 
  8 a^6 z^2 + (5 z^3)/a + 21 a z^3 + 30 a^3 z^3 + 17 a^5 z^3 + 
  3 a^7 z^3 + 3 z^4 - (3 z^4)/a^2 + 33 a^2 z^4 + 33 a^4 z^4 + 
  6 a^6 z^4 - (8 z^5)/a - 21 a z^5 - 24 a^3 z^5 - 11 a^5 z^5 - 9 z^6 +
   z^6/a^2 - 29 a^2 z^6 - 18 a^4 z^6 + a^6 z^6 + (3 z^7)/a + 
  3 a z^7 + 5 a^3 z^7 + 5 a^5 z^7 + 4 z^8 + 10 a^2 z^8 + 6 a^4 z^8 + 
  2 a z^9 + 2 a^3 z^9, 
 10 + 2/a^2 + 12 a^2 + 4 a^4 - a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (
  2 a)/z + (2 a^3)/z - (2 z)/a^3 - (7 z)/a - 14 a z - 10 a^3 z - 
  a^5 z - 28 z^2 - (8 z^2)/a^2 - 26 a^2 z^2 - 3 a^4 z^2 + 
  3 a^6 z^2 + (5 z^3)/a^3 + (21 z^3)/a + 30 a z^3 + 17 a^3 z^3 + 
  3 a^5 z^3 + 45 z^4 + (17 z^4)/a^2 + 27 a^2 z^4 - a^4 z^4 - (4 z^5)/
  a^3 - (12 z^5)/a - 25 a z^5 - 16 a^3 z^5 + a^5 z^5 - 36 z^6 - (
  13 z^6)/a^2 - 20 a^2 z^6 + 3 a^4 z^6 + z^7/a^3 - (3 z^7)/a + 
  2 a z^7 + 6 a^3 z^7 + 9 z^8 + (3 z^8)/a^2 + 6 a^2 z^8 + (2 z^9)/a + 
  2 a z^9, 8 - 1/a^4 - 1/a^2 + 14 a^2 + 7 a^4 - 1/z^2 - (2 a^2)/z^2 - 
  a^4/z^2 + (2 a)/z + (2 a^3)/z + z/a^5 + z/a^3 - (3 z)/a - 10 a z - 
  7 a^3 z - 24 z^2 + (3 z^2)/a^4 + z^2/a^2 - 36 a^2 z^2 - 
  14 a^4 z^2 - (2 z^3)/a^5 - (2 z^3)/a^3 + (11 z^3)/a + 18 a z^3 + 
  7 a^3 z^3 + 37 z^4 - (6 z^4)/a^4 + 37 a^2 z^4 + 6 a^4 z^4 + z^5/
  a^5 - (5 z^5)/a^3 - (10 z^5)/a - 10 a z^5 - 6 a^3 z^5 - 26 z^6 + (
  3 z^6)/a^4 - (5 z^6)/a^2 - 18 a^2 z^6 + (4 z^7)/a^3 + (2 z^7)/a + 
  a z^7 + 3 a^3 z^7 + 9 z^8 + (4 z^8)/a^2 + 5 a^2 z^8 + (2 z^9)/a + 
  2 a z^9, -4 a^2 - 6 a^4 - a^6 + 3 a^8 + a^10 + a^2/z^2 + (2 a^4)/
  z^2 + a^6/z^2 - (2 a^3)/z - (2 a^5)/z + 4 a^3 z + 2 a^5 z - 
  6 a^7 z - 6 a^9 z - 2 a^11 z + 6 a^2 z^2 + 9 a^4 z^2 - 5 a^6 z^2 - 
  12 a^8 z^2 - 4 a^10 z^2 + 7 a^5 z^3 + 20 a^7 z^3 + 14 a^9 z^3 + 
  a^11 z^3 - 4 a^2 z^4 - 9 a^4 z^4 + 14 a^6 z^4 + 22 a^8 z^4 + 
  3 a^10 z^4 - 5 a^3 z^5 - 12 a^5 z^5 - 14 a^7 z^5 - 7 a^9 z^5 + 
  a^2 z^6 - 2 a^4 z^6 - 15 a^6 z^6 - 12 a^8 z^6 + 2 a^3 z^7 + 
  2 a^5 z^7 + 2 a^7 z^7 + 2 a^9 z^7 + 2 a^4 z^8 + 5 a^6 z^8 + 
  3 a^8 z^8 + a^5 z^9 + a^7 z^9, -a^6 + 9 a^8 + 21 a^10 + 14 a^12 + 
  2 a^14 - (2 a^8)/z^2 - (5 a^10)/z^2 - (4 a^12)/z^2 - a^14/z^2 + (
  5 a^9)/z + (9 a^11)/z + (5 a^13)/z + a^15/z - 20 a^9 z - 
  33 a^11 z - 15 a^13 z - 2 a^15 z + 3 a^6 z^2 - 16 a^8 z^2 - 
  40 a^10 z^2 - 25 a^12 z^2 - 4 a^14 z^2 + 3 a^7 z^3 + 30 a^9 z^3 + 
  40 a^11 z^3 + 14 a^13 z^3 + a^15 z^3 - 4 a^6 z^4 + 20 a^8 z^4 + 
  47 a^10 z^4 + 25 a^12 z^4 + 2 a^14 z^4 - 7 a^7 z^5 - 16 a^9 z^5 - 
  14 a^11 z^5 - 5 a^13 z^5 + a^6 z^6 - 14 a^8 z^6 - 26 a^10 z^6 - 
  11 a^12 z^6 + 2 a^7 z^7 - a^11 z^7 + a^13 z^7 + 3 a^8 z^8 + 
  5 a^10 z^8 + 2 a^12 z^8 + a^9 z^9 + a^11 z^9, 
 8 a^4 + 16 a^6 + 11 a^8 + 2 a^10 - (2 a^4)/z^2 - (5 a^6)/z^2 - (
  4 a^8)/z^2 - a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/
  z - 13 a^5 z - 24 a^7 z - 14 a^9 z - 3 a^11 z - 11 a^4 z^2 - 
  22 a^6 z^2 - 13 a^8 z^2 - 2 a^10 z^2 + 11 a^5 z^3 + 25 a^7 z^3 + 
  15 a^9 z^3 + a^11 z^3 + 3 a^4 z^4 + 16 a^6 z^4 + 14 a^8 z^4 + 
  a^10 z^4 - 5 a^5 z^5 - 11 a^7 z^5 - 6 a^9 z^5 - 6 a^6 z^6 - 
  6 a^8 z^6 + a^5 z^7 + 2 a^7 z^7 + a^9 z^7 + a^6 z^8 + 
  a^8 z^8, -a^2 + 6 a^4 + 16 a^6 + 13 a^8 + 3 a^10 - (2 a^4)/z^2 - (
  5 a^6)/z^2 - (4 a^8)/z^2 - a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (
  5 a^9)/z + a^11/z - 15 a^5 z - 30 a^7 z - 20 a^9 z - 5 a^11 z + 
  3 a^2 z^2 - 5 a^4 z^2 - 25 a^6 z^2 - 23 a^8 z^2 - 6 a^10 z^2 + 
  3 a^3 z^3 + 19 a^5 z^3 + 41 a^7 z^3 + 33 a^9 z^3 + 8 a^11 z^3 - 
  a^4 z^4 + 18 a^6 z^4 + 31 a^8 z^4 + 12 a^10 z^4 + a^3 z^5 - 
  14 a^5 z^5 - 29 a^7 z^5 - 19 a^9 z^5 - 5 a^11 z^5 + 3 a^4 z^6 - 
  12 a^6 z^6 - 24 a^8 z^6 - 9 a^10 z^6 + 5 a^5 z^7 + 5 a^7 z^7 + 
  a^9 z^7 + a^11 z^7 + 4 a^6 z^8 + 6 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + 
  a^9 z^9, 5 + 11 a^2 + 10 a^4 + 3 a^6 - 2/z^2 - (5 a^2)/z^2 - (
  4 a^4)/z^2 - a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 
  8 a z - 21 a^3 z - 19 a^5 z - 6 a^7 z - 7 a^2 z^2 - 11 a^4 z^2 - 
  4 a^6 z^2 + 3 a z^3 + 19 a^3 z^3 + 27 a^5 z^3 + 11 a^7 z^3 - 
  a^2 z^4 + 6 a^4 z^4 + 7 a^6 z^4 - 10 a^3 z^5 - 16 a^5 z^5 - 
  6 a^7 z^5 + a^2 z^6 - 4 a^4 z^6 - 5 a^6 z^6 + 2 a^3 z^7 + 
  3 a^5 z^7 + a^7 z^7 + a^4 z^8 + a^6 z^8, 
 11 + 21 a^2 + 12 a^4 + a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/z^2 - a^6/
  z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 18 a z - 27 a^3 z - 
  9 a^5 z - 22 z^2 - 37 a^2 z^2 - 15 a^4 z^2 + 20 a z^3 + 
  26 a^3 z^3 + 6 a^5 z^3 + 21 z^4 + 28 a^2 z^4 + 7 a^4 z^4 - 
  8 a z^5 - 9 a^3 z^5 - a^5 z^5 - 8 z^6 - 9 a^2 z^6 - a^4 z^6 + 
  a z^7 + a^3 z^7 + z^8 + a^2 z^8, -a^2 + 6 a^4 + 16 a^6 + 13 a^8 + 
  3 a^10 - (2 a^4)/z^2 - (5 a^6)/z^2 - (4 a^8)/z^2 - a^10/z^2 + (
  5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/z - 15 a^5 z - 30 a^7 z - 
  20 a^9 z - 5 a^11 z + a^2 z^2 - 7 a^4 z^2 - 23 a^6 z^2 - 
  21 a^8 z^2 - 6 a^10 z^2 + a^3 z^3 + 17 a^5 z^3 + 39 a^7 z^3 + 
  31 a^9 z^3 + 8 a^11 z^3 + 3 a^4 z^4 + 23 a^6 z^4 + 31 a^8 z^4 + 
  11 a^10 z^4 - 9 a^5 z^5 - 21 a^7 z^5 - 17 a^9 z^5 - 5 a^11 z^5 - 
  14 a^6 z^6 - 23 a^8 z^6 - 9 a^10 z^6 + 2 a^5 z^7 + a^7 z^7 + 
  a^11 z^7 + 3 a^6 z^8 + 5 a^8 z^8 + 2 a^10 z^8 + a^7 z^9 + a^9 z^9, 
 5 + 11 a^2 + 10 a^4 + 3 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/z^2 - 
  a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 8 a z - 
  21 a^3 z - 19 a^5 z - 6 a^7 z - 4 z^2 - 15 a^2 z^2 - 15 a^4 z^2 - 
  4 a^6 z^2 + 2 a z^3 + 20 a^3 z^3 + 28 a^5 z^3 + 10 a^7 z^3 + z^4 + 
  7 a^2 z^4 + 15 a^4 z^4 + 9 a^6 z^4 - 8 a^3 z^5 - 14 a^5 z^5 - 
  6 a^7 z^5 - a^2 z^6 - 7 a^4 z^6 - 6 a^6 z^6 + a^3 z^7 + 2 a^5 z^7 + 
  a^7 z^7 + a^4 z^8 + a^6 z^8, 
 11 + 8/a^4 + 16/a^2 + 2 a^2 - 4/z^2 - 2/(a^4 z^2) - 5/(a^2 z^2) - 
  a^2/z^2 + 5/(a^3 z) + 9/(a z) + (5 a)/z + a^3/z - (13 z)/a^3 - (
  24 z)/a - 14 a z - 3 a^3 z - 15 z^2 - (9 z^2)/a^4 - (20 z^2)/a^2 - 
  4 a^2 z^2 + (9 z^3)/a^3 + (19 z^3)/a + 13 a z^3 + 3 a^3 z^3 + 
  10 z^4 + (3 z^4)/a^4 + (11 z^4)/a^2 + 2 a^2 z^4 - (3 z^5)/a^3 - (
  8 z^5)/a - 5 a z^5 - 2 z^6 - (3 z^6)/a^2 + a^2 z^6 + z^7/a^3 + (
  3 z^7)/a + 2 a z^7 + z^8 + z^8/a^2, 
 3 + 5 a^2 + 2 a^4 - a^6 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/
  z - (2 a^5)/z - (2 z)/a - 7 a z - 5 a^3 z - a^5 z - a^7 z - 6 z^2 + 
  z^2/a^2 - 26 a^2 z^2 - 27 a^4 z^2 - 8 a^6 z^2 + (2 z^3)/a + 
  11 a z^3 + 17 a^3 z^3 + 11 a^5 z^3 + 3 a^7 z^3 + 3 z^4 + 
  36 a^2 z^4 + 53 a^4 z^4 + 20 a^6 z^4 - 8 a z^5 - 5 a^3 z^5 - 
  a^5 z^5 - 4 a^7 z^5 - 21 a^2 z^6 - 36 a^4 z^6 - 15 a^6 z^6 + 
  2 a z^7 - 6 a^3 z^7 - 7 a^5 z^7 + a^7 z^7 + 4 a^2 z^8 + 7 a^4 z^8 + 
  3 a^6 z^8 + 2 a^3 z^9 + 2 a^5 z^9, 
 7 + 2/a^4 + 6/a^2 + 2 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(
  a z) - (2 a)/z - (2 z)/a^5 - (7 z)/a^3 - (9 z)/a - 5 a z - a^3 z - 
  28 z^2 + z^2/a^6 - (6 z^2)/a^4 - (26 z^2)/a^2 - 9 a^2 z^2 + (8 z^3)/
  a^5 + (21 z^3)/a^3 + (20 z^3)/a + 10 a z^3 + 3 a^3 z^3 + 32 z^4 - (
  3 z^4)/a^6 + (12 z^4)/a^4 + (41 z^4)/a^2 + 6 a^2 z^4 - (10 z^5)/
  a^5 - (16 z^5)/a^3 - (13 z^5)/a - 7 a z^5 - 16 z^6 + z^6/a^6 - (
  13 z^6)/a^4 - (31 z^6)/a^2 + a^2 z^6 + (3 z^7)/a^5 + z^7/a + 
  4 a z^7 + 5 z^8 + (4 z^8)/a^4 + (9 z^8)/a^2 + (2 z^9)/a^3 + (2 z^9)/
  a, 10 a^4 + 22 a^6 + 17 a^8 + 4 a^10 - (2 a^4)/z^2 - (5 a^6)/z^2 - (
  4 a^8)/z^2 - a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/
  z - 15 a^5 z - 29 a^7 z - 17 a^9 z - 2 a^11 z + a^13 z - 
  19 a^4 z^2 - 47 a^6 z^2 - 36 a^8 z^2 - 7 a^10 z^2 + a^12 z^2 + 
  12 a^5 z^3 + 30 a^7 z^3 + 19 a^9 z^3 + a^11 z^3 + 17 a^4 z^4 + 
  54 a^6 z^4 + 39 a^8 z^4 + 2 a^10 z^4 + 3 a^5 z^5 - 8 a^7 z^5 - 
  11 a^9 z^5 - 7 a^4 z^6 - 26 a^6 z^6 - 19 a^8 z^6 - 5 a^5 z^7 - 
  3 a^7 z^7 + 2 a^9 z^7 + a^4 z^8 + 4 a^6 z^8 + 3 a^8 z^8 + a^5 z^9 + 
  a^7 z^9, 7 + 17 a^2 + 16 a^4 + 5 a^6 - 2/z^2 - (5 a^2)/z^2 - (
  4 a^4)/z^2 - a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 
  10 a z - 26 a^3 z - 22 a^5 z - 5 a^7 z + a^9 z - 8 z^2 - 
  32 a^2 z^2 - 34 a^4 z^2 - 9 a^6 z^2 + a^8 z^2 + 3 a z^3 + 
  26 a^3 z^3 + 35 a^5 z^3 + 9 a^7 z^3 - 3 a^9 z^3 + 3 z^4 + 
  23 a^2 z^4 + 39 a^4 z^4 + 14 a^6 z^4 - 5 a^8 z^4 - a z^5 - 
  8 a^3 z^5 - 17 a^5 z^5 - 9 a^7 z^5 + a^9 z^5 - 8 a^2 z^6 - 
  20 a^4 z^6 - 10 a^6 z^6 + 2 a^8 z^6 + a z^7 + 2 a^5 z^7 + 
  3 a^7 z^7 + 2 a^2 z^8 + 5 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, 
 1 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z - z/a^3 - (
  4 z)/a - 6 a z - 4 a^3 z - a^5 z - 11 z^2 - (4 z^2)/a^2 - 
  9 a^2 z^2 - a^4 z^2 + a^6 z^2 + z^3/a^3 + (10 z^3)/a + 23 a z^3 + 
  20 a^3 z^3 + 6 a^5 z^3 + 22 z^4 + (4 z^4)/a^2 + 25 a^2 z^4 + 
  5 a^4 z^4 - 2 a^6 z^4 - (4 z^5)/a - 16 a z^5 - 23 a^3 z^5 - 
  11 a^5 z^5 - 13 z^6 - 27 a^2 z^6 - 13 a^4 z^6 + a^6 z^6 + (2 z^7)/
  a + a z^7 + 3 a^3 z^7 + 4 a^5 z^7 + 4 z^8 + 9 a^2 z^8 + 5 a^4 z^8 + 
  2 a z^9 + 2 a^3 z^9, 
 5 + 11 a^2 + 10 a^4 + 3 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/z^2 - 
  a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 8 a z - 
  21 a^3 z - 19 a^5 z - 6 a^7 z - 3 a^2 z^2 - 3 a^4 z^2 + 6 a z^3 + 
  24 a^3 z^3 + 24 a^5 z^3 + 6 a^7 z^3 - 8 z^4 - 16 a^2 z^4 - 
  8 a^4 z^4 + z^5/a - 13 a z^5 - 27 a^3 z^5 - 13 a^5 z^5 + 5 z^6 + 
  5 a^2 z^6 + 3 a^4 z^6 + 3 a^6 z^6 + 7 a z^7 + 13 a^3 z^7 + 
  6 a^5 z^7 + 3 a^2 z^8 + 3 a^4 z^8, -a^6 + 9 a^8 + 21 a^10 + 
  14 a^12 + 2 a^14 - (2 a^8)/z^2 - (5 a^10)/z^2 - (4 a^12)/z^2 - a^14/
  z^2 + (5 a^9)/z + (9 a^11)/z + (5 a^13)/z + a^15/z - 20 a^9 z - 
  33 a^11 z - 15 a^13 z - 2 a^15 z + 4 a^6 z^2 - 16 a^8 z^2 - 
  42 a^10 z^2 - 25 a^12 z^2 - 3 a^14 z^2 + 3 a^7 z^3 + 30 a^9 z^3 + 
  44 a^11 z^3 + 18 a^13 z^3 + a^15 z^3 - 4 a^6 z^4 + 15 a^8 z^4 + 
  42 a^10 z^4 + 26 a^12 z^4 + 3 a^14 z^4 - 6 a^7 z^5 - 21 a^9 z^5 - 
  22 a^11 z^5 - 7 a^13 z^5 + a^6 z^6 - 11 a^8 z^6 - 24 a^10 z^6 - 
  12 a^12 z^6 + 2 a^7 z^7 + 3 a^9 z^7 + 3 a^11 z^7 + 2 a^13 z^7 + 
  3 a^8 z^8 + 6 a^10 z^8 + 3 a^12 z^8 + a^9 z^9 + a^11 z^9, 
 11 + 21 a^2 + 12 a^4 + a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/z^2 - a^6/
  z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 18 a z - 27 a^3 z - 
  9 a^5 z - 23 z^2 - 37 a^2 z^2 - 13 a^4 z^2 - a^8 z^2 + 22 a z^3 + 
  28 a^3 z^3 - 6 a^7 z^3 + 21 z^4 + 31 a^2 z^4 + 6 a^4 z^4 - 
  3 a^6 z^4 + a^8 z^4 - 9 a z^5 - 9 a^3 z^5 + 3 a^5 z^5 + 3 a^7 z^5 - 
  8 z^6 - 10 a^2 z^6 + 2 a^6 z^6 + a z^7 + a^3 z^7 + z^8 + 
  a^2 z^8, -a^2 + 6 a^4 + 16 a^6 + 13 a^8 + 3 a^10 - (2 a^4)/z^2 - (
  5 a^6)/z^2 - (4 a^8)/z^2 - a^10/z^2 + (5 a^5)/z + (9 a^7)/z + (
  5 a^9)/z + a^11/z - 15 a^5 z - 30 a^7 z - 20 a^9 z - 5 a^11 z + 
  3 a^2 z^2 - 3 a^4 z^2 - 23 a^6 z^2 - 25 a^8 z^2 - 8 a^10 z^2 + 
  4 a^3 z^3 + 19 a^5 z^3 + 35 a^7 z^3 + 29 a^9 z^3 + 9 a^11 z^3 - 
  3 a^2 z^4 + a^4 z^4 + 25 a^6 z^4 + 33 a^8 z^4 + 12 a^10 z^4 - 
  9 a^3 z^5 - 14 a^5 z^5 - 11 a^7 z^5 - 12 a^9 z^5 - 6 a^11 z^5 + 
  a^2 z^6 - 8 a^4 z^6 - 17 a^6 z^6 - 15 a^8 z^6 - 7 a^10 z^6 + 
  3 a^3 z^7 + a^5 z^7 - 2 a^7 z^7 + a^9 z^7 + a^11 z^7 + 3 a^4 z^8 + 
  4 a^6 z^8 + 2 a^8 z^8 + a^10 z^8 + a^5 z^9 + a^7 z^9, 
 11 + 8/a^4 + 16/a^2 + 2 a^2 - 4/z^2 - 2/(a^4 z^2) - 5/(a^2 z^2) - 
  a^2/z^2 + 5/(a^3 z) + 9/(a z) + (5 a)/z + a^3/z - (13 z)/a^3 - (
  24 z)/a - 14 a z - 3 a^3 z - 15 z^2 - (11 z^2)/a^4 - (24 z^2)/a^2 + 
  2 a^4 z^2 + (10 z^3)/a^3 + (29 z^3)/a + 29 a z^3 + 9 a^3 z^3 - 
  a^5 z^3 + 12 z^4 + (6 z^4)/a^4 + (17 z^4)/a^2 - 4 a^2 z^4 - 
  5 a^4 z^4 - (3 z^5)/a^3 - (26 z^5)/a - 38 a z^5 - 14 a^3 z^5 + 
  a^5 z^5 - 18 z^6 - (8 z^6)/a^2 - 6 a^2 z^6 + 4 a^4 z^6 + (3 z^7)/
  a^3 + (10 z^7)/a + 15 a z^7 + 8 a^3 z^7 + 12 z^8 + (5 z^8)/a^2 + 
  7 a^2 z^8 + (2 z^9)/a + 2 a z^9, 
 1 - 1/a^2 + 5 a^2 + 4 a^4 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (
  2 a^3)/z - (2 a^5)/z - (4 z)/a - 13 a z - 11 a^3 z - 3 a^5 z - 
  a^7 z + 2 z^2 + (4 z^2)/a^2 - 23 a^2 z^2 - 31 a^4 z^2 - 
  10 a^6 z^2 + (10 z^3)/a + 30 a z^3 + 30 a^3 z^3 + 14 a^5 z^3 + 
  4 a^7 z^3 - (5 z^4)/a^2 + 41 a^2 z^4 + 55 a^4 z^4 + 19 a^6 z^4 - (
  7 z^5)/a - 19 a z^5 - 15 a^3 z^5 - 7 a^5 z^5 - 4 a^7 z^5 - z^6 + 
  z^6/a^2 - 27 a^2 z^6 - 39 a^4 z^6 - 14 a^6 z^6 + z^7/a + 3 a z^7 - 
  4 a^3 z^7 - 5 a^5 z^7 + a^7 z^7 + 5 a^2 z^8 + 8 a^4 z^8 + 
  3 a^6 z^8 + 2 a^3 z^9 + 2 a^5 z^9, 
 3 + 5 a^2 + 2 a^4 - a^6 + a^2/z^2 + (2 a^4)/z^2 + a^6/z^2 - (2 a^3)/
  z - (2 a^5)/z - (2 z)/a - 7 a z - 5 a^3 z - a^5 z - a^7 z - 8 z^2 + 
  z^2/a^2 - 28 a^2 z^2 - 25 a^4 z^2 - 6 a^6 z^2 + (6 z^3)/a + 
  17 a z^3 + 19 a^3 z^3 + 9 a^5 z^3 + a^7 z^3 + 15 z^4 - (3 z^4)/
  a^2 + 51 a^2 z^4 + 37 a^4 z^4 + 4 a^6 z^4 - (10 z^5)/a - 10 a z^5 - 
  6 a^3 z^5 - 6 a^5 z^5 - 15 z^6 + z^6/a^2 - 35 a^2 z^6 - 
  19 a^4 z^6 + (3 z^7)/a - 3 a z^7 - 4 a^3 z^7 + 2 a^5 z^7 + 4 z^8 + 
  8 a^2 z^8 + 4 a^4 z^8 + 2 a z^9 + 2 a^3 z^9, 
 1 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z - z/a^5 - (
  4 z)/a^3 - (6 z)/a - 4 a z - a^3 z - 19 z^2 + z^2/a^6 - z^2/a^4 - (
  13 z^2)/a^2 - 8 a^2 z^2 + (4 z^3)/a^5 + (17 z^3)/a^3 + (22 z^3)/a + 
  13 a z^3 + 4 a^3 z^3 + 42 z^4 - z^4/a^4 + (22 z^4)/a^2 + 
  19 a^2 z^4 - (16 z^5)/a^3 - (17 z^5)/a - 5 a z^5 - 4 a^3 z^5 - 
  34 z^6 + (2 z^6)/a^4 - (18 z^6)/a^2 - 14 a^2 z^6 + (5 z^7)/a^3 - 
  z^7/a - 5 a z^7 + a^3 z^7 + 8 z^8 + (5 z^8)/a^2 + 3 a^2 z^8 + (
  2 z^9)/a + 2 a z^9, 
 13 + 4/a^4 + 12/a^2 + 4 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(
  a z) - (2 a)/z - (4 z)/a^5 - (14 z)/a^3 - (18 z)/a - 10 a z - 
  2 a^3 z - 44 z^2 + (2 z^2)/a^6 - (8 z^2)/a^4 - (40 z^2)/a^2 - 
  14 a^2 z^2 + (8 z^3)/a^5 + (26 z^3)/a^3 + (32 z^3)/a + 20 a z^3 + 
  6 a^3 z^3 + 61 z^4 - (4 z^4)/a^6 + (11 z^4)/a^4 + (59 z^4)/a^2 + 
  17 a^2 z^4 - (9 z^5)/a^5 - (10 z^5)/a^3 - (4 z^5)/a - 8 a z^5 - 
  5 a^3 z^5 - 33 z^6 + z^6/a^6 - (10 z^6)/a^4 - (33 z^6)/a^2 - 
  11 a^2 z^6 + (2 z^7)/a^5 - (3 z^7)/a^3 - (9 z^7)/a - 3 a z^7 + 
  a^3 z^7 + 5 z^8 + (2 z^8)/a^4 + (5 z^8)/a^2 + 2 a^2 z^8 + z^9/
  a^3 + (2 z^9)/a + a z^9, 
 17 + 4/a^2 + 22 a^2 + 10 a^4 - 4/z^2 - 1/(a^2 z^2) - (5 a^2)/z^2 - (
  2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/z + z/a^5 - (
  2 z)/a^3 - (17 z)/a - 29 a z - 15 a^3 z - 38 z^2 + (3 z^2)/a^4 - (
  5 z^2)/a^2 - 49 a^2 z^2 - 19 a^4 z^2 - (3 z^3)/a^5 + (3 z^3)/a^3 + (
  27 z^3)/a + 32 a z^3 + 11 a^3 z^3 + 46 z^4 - (7 z^4)/a^4 + 
  56 a^2 z^4 + 17 a^4 z^4 + z^5/a^5 - (4 z^5)/a^3 - (15 z^5)/a - 
  7 a z^5 + 3 a^3 z^5 - 22 z^6 + (2 z^6)/a^4 - 27 a^2 z^6 - 
  7 a^4 z^6 + z^7/a^3 + (2 z^7)/a - 4 a z^7 - 5 a^3 z^7 + 3 z^8 + 
  4 a^2 z^8 + a^4 z^8 + a z^9 + a^3 z^9, -3 a^6 + 5 a^8 + 21 a^10 + 
  18 a^12 + 4 a^14 - (2 a^8)/z^2 - (5 a^10)/z^2 - (4 a^12)/z^2 - a^14/
  z^2 + (5 a^9)/z + (9 a^11)/z + (5 a^13)/z + a^15/z + a^7 z - 
  20 a^9 z - 39 a^11 z - 23 a^13 z - 5 a^15 z + 8 a^6 z^2 - 
  3 a^8 z^2 - 37 a^10 z^2 - 34 a^12 z^2 - 8 a^14 z^2 + a^7 z^3 + 
  30 a^9 z^3 + 57 a^11 z^3 + 36 a^13 z^3 + 8 a^15 z^3 - 6 a^6 z^4 + 
  3 a^8 z^4 + 38 a^10 z^4 + 41 a^12 z^4 + 12 a^14 z^4 - a^7 z^5 - 
  17 a^9 z^5 - 32 a^11 z^5 - 21 a^13 z^5 - 5 a^15 z^5 + a^6 z^6 - 
  a^8 z^6 - 21 a^10 z^6 - 28 a^12 z^6 - 9 a^14 z^6 + 3 a^9 z^7 + 
  3 a^11 z^7 + a^13 z^7 + a^15 z^7 + 4 a^10 z^8 + 6 a^12 z^8 + 
  2 a^14 z^8 + a^11 z^9 + a^13 z^9, -2 a^2 + 4 a^4 + 16 a^6 + 
  15 a^8 + 4 a^10 - (2 a^4)/z^2 - (5 a^6)/z^2 - (4 a^8)/z^2 - a^10/
  z^2 + (5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/z + a^3 z - 
  13 a^5 z - 30 a^7 z - 22 a^9 z - 6 a^11 z + 5 a^2 z^2 + 2 a^4 z^2 - 
  19 a^6 z^2 - 22 a^8 z^2 - 6 a^10 z^2 + 4 a^3 z^3 + 15 a^5 z^3 + 
  34 a^7 z^3 + 33 a^9 z^3 + 10 a^11 z^3 - 4 a^2 z^4 - 6 a^4 z^4 + 
  11 a^6 z^4 + 22 a^8 z^4 + 9 a^10 z^4 - 7 a^3 z^5 - 12 a^5 z^5 - 
  15 a^7 z^5 - 16 a^9 z^5 - 6 a^11 z^5 + a^2 z^6 - a^4 z^6 - 
  5 a^6 z^6 - 9 a^8 z^6 - 6 a^10 z^6 + 2 a^3 z^7 + 3 a^5 z^7 + 
  2 a^7 z^7 + 2 a^9 z^7 + a^11 z^7 + a^4 z^8 + a^6 z^8 + a^8 z^8 + 
  a^10 z^8, -1 - a^2 + 12 a^4 + 23 a^6 + 12 a^8 - a^2/z^2 - (4 a^4)/
  z^2 - (5 a^6)/z^2 - (2 a^8)/z^2 + a/z + (5 a^3)/z + (9 a^5)/z + (
  5 a^7)/z + z/a - 15 a^3 z - 35 a^5 z - 21 a^7 z + 3 z^2 + 
  8 a^2 z^2 - 12 a^4 z^2 - 41 a^6 z^2 - 24 a^8 z^2 - (2 z^3)/a - 
  2 a z^3 + 17 a^3 z^3 + 42 a^5 z^3 + 25 a^7 z^3 - 7 z^4 - 
  12 a^2 z^4 + 9 a^4 z^4 + 35 a^6 z^4 + 21 a^8 z^4 + z^5/a - 
  5 a z^5 - 11 a^3 z^5 - 15 a^5 z^5 - 10 a^7 z^5 + 3 z^6 + 
  3 a^2 z^6 - 3 a^4 z^6 - 11 a^6 z^6 - 8 a^8 z^6 + 3 a z^7 + 
  4 a^3 z^7 + 2 a^5 z^7 + a^7 z^7 + a^2 z^8 + a^4 z^8 + a^6 z^8 + 
  a^8 z^8, 11 - 1/a^4 + 18 a^2 + 9 a^4 - 4/z^2 - 1/(a^2 z^2) - (
  5 a^2)/z^2 - (2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/
  z + z/a^5 - (3 z)/a^3 - (20 z)/a - 32 a z - 16 a^3 z - 10 z^2 + (
  3 z^2)/a^4 + (6 z^2)/a^2 - 26 a^2 z^2 - 13 a^4 z^2 - (2 z^3)/a^5 + (
  5 z^3)/a^3 + (36 z^3)/a + 43 a z^3 + 14 a^3 z^3 + 7 z^4 - (5 z^4)/
  a^4 - (10 z^4)/a^2 + 18 a^2 z^4 + 6 a^4 z^4 + z^5/a^5 - (8 z^5)/
  a^3 - (35 z^5)/a - 32 a z^5 - 6 a^3 z^5 - 11 z^6 + (3 z^6)/a^4 - 
  8 a^2 z^6 + (5 z^7)/a^3 + (13 z^7)/a + 11 a z^7 + 3 a^3 z^7 + 
  8 z^8 + (4 z^8)/a^2 + 4 a^2 z^8 + z^9/a + a z^9, 
 7 - 2/a^2 + 21 a^2 + 16 a^4 + 3 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/
  z^2 - a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z + z/a - 
  18 a z - 33 a^3 z - 17 a^5 z - 3 a^7 z - 9 z^2 + (5 z^2)/a^2 - 
  34 a^2 z^2 - 24 a^4 z^2 - 4 a^6 z^2 + (2 z^3)/a + 28 a z^3 + 
  43 a^3 z^3 + 20 a^5 z^3 + 3 a^7 z^3 + 8 z^4 - (4 z^4)/a^2 + 
  27 a^2 z^4 + 19 a^4 z^4 + 4 a^6 z^4 - (5 z^5)/a - 25 a z^5 - 
  29 a^3 z^5 - 9 a^5 z^5 - 8 z^6 + z^6/a^2 - 19 a^2 z^6 - 9 a^4 z^6 + 
  a^6 z^6 + (2 z^7)/a + 6 a z^7 + 8 a^3 z^7 + 4 a^5 z^7 + 3 z^8 + 
  7 a^2 z^8 + 4 a^4 z^8 + a z^9 + a^3 z^9, 
 17 - 1/a^4 + 2/a^2 + 24 a^2 + 11 a^4 - 4/z^2 - 1/(a^2 z^2) - (5 a^2)/
  z^2 - (2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/z + (
  2 z)/a^5 - (2 z)/a^3 - (23 z)/a - 37 a z - 18 a^3 z - 33 z^2 + (
  4 z^2)/a^4 + z^2/a^2 - 51 a^2 z^2 - 21 a^4 z^2 - (4 z^3)/a^5 + z^3/
  a^3 + (40 z^3)/a + 52 a z^3 + 17 a^3 z^3 + 42 z^4 - (5 z^4)/a^4 - (
  3 z^4)/a^2 + 58 a^2 z^4 + 18 a^4 z^4 + z^5/a^5 - z^5/a^3 - (25 z^5)/
  a - 24 a z^5 - a^3 z^5 - 24 z^6 + z^6/a^4 - 30 a^2 z^6 - 
  7 a^4 z^6 + (4 z^7)/a - 4 a^3 z^7 + 4 z^8 + 5 a^2 z^8 + a^4 z^8 + 
  a z^9 + a^3 z^9, 
 9 + 23 a^2 + 22 a^4 + 7 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/z^2 - 
  a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z - 12 a z - 
  31 a^3 z - 25 a^5 z - 4 a^7 z + 2 a^9 z - 16 z^2 - 53 a^2 z^2 - 
  49 a^4 z^2 - 10 a^6 z^2 + 2 a^8 z^2 + 4 a z^3 + 34 a^3 z^3 + 
  40 a^5 z^3 + 6 a^7 z^3 - 4 a^9 z^3 + 16 z^4 + 52 a^2 z^4 + 
  50 a^4 z^4 + 10 a^6 z^4 - 4 a^8 z^4 + 8 a z^5 - 7 a^3 z^5 - 
  21 a^5 z^5 - 5 a^7 z^5 + a^9 z^5 - 7 z^6 - 22 a^2 z^6 - 
  22 a^4 z^6 - 6 a^6 z^6 + a^8 z^6 - 6 a z^7 - 4 a^3 z^7 + 3 a^5 z^7 +
   a^7 z^7 + z^8 + 3 a^2 z^8 + 3 a^4 z^8 + a^6 z^8 + a z^9 + a^3 z^9, 
 17 + 10/a^4 + 22/a^2 + 4 a^2 - 4/z^2 - 2/(a^4 z^2) - 5/(a^2 z^2) - 
  a^2/z^2 + 5/(a^3 z) + 9/(a z) + (5 a)/z + a^3/z - (15 z)/a^3 - (
  29 z)/a - 17 a z - 2 a^3 z + a^5 z - 38 z^2 - (17 z^2)/a^4 - (
  45 z^2)/a^2 - 9 a^2 z^2 + a^4 z^2 + (14 z^3)/a^3 + (34 z^3)/a + 
  23 a z^3 + a^3 z^3 - 2 a^5 z^3 + 56 z^4 + (6 z^4)/a^4 + (46 z^4)/
  a^2 + 10 a^2 z^4 - 6 a^4 z^4 - (9 z^5)/a^3 - (12 z^5)/a - 
  11 a z^5 - 7 a^3 z^5 + a^5 z^5 - 34 z^6 - (22 z^6)/a^2 - 
  9 a^2 z^6 + 3 a^4 z^6 + (3 z^7)/a^3 - z^7/a + 4 a^3 z^7 + 9 z^8 + (
  5 z^8)/a^2 + 4 a^2 z^8 + (2 z^9)/a + 2 a z^9, -7 - 4/a^2 + 8 a^4 + 
  4 a^6 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (4 z)/
  a + 8 a z - 8 a^5 z - 4 a^7 z + 12 z^2 + (6 z^2)/a^2 - 12 a^2 z^2 - 
  28 a^4 z^2 - 10 a^6 z^2 - 10 a z^3 - 2 a^3 z^3 + 18 a^5 z^3 + 
  10 a^7 z^3 - 2 z^4 - (5 z^4)/a^2 + 22 a^2 z^4 + 30 a^4 z^4 + 
  11 a^6 z^4 - (4 z^5)/a + 10 a z^5 + 8 a^3 z^5 - 12 a^5 z^5 - 
  6 a^7 z^5 - 4 z^6 + z^6/a^2 - 13 a^2 z^6 - 14 a^4 z^6 - 6 a^6 z^6 + 
  z^7/a - 6 a z^7 - 6 a^3 z^7 + 2 a^5 z^7 + a^7 z^7 + z^8 + 
  2 a^2 z^8 + 2 a^4 z^8 + a^6 z^8 + a z^9 + a^3 z^9, 
 3 - 4/a^6 - 6/a^4 - 1/a^2 + a^2 + 1/(a^6 z^2) + 2/(a^4 z^2) + 1/(
  a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (4 z)/a^5 + (2 z)/a^3 - (6 z)/
  a - 6 a z - 2 a^3 z - 14 z^2 + (6 z^2)/a^6 + (11 z^2)/a^4 - (3 z^2)/
  a^2 - 6 a^2 z^2 + (7 z^3)/a^3 + (20 z^3)/a + 18 a z^3 + 5 a^3 z^3 + 
  33 z^4 - (12 z^4)/a^4 + (4 z^4)/a^2 + 17 a^2 z^4 + (3 z^5)/a^5 - (
  16 z^5)/a^3 - (25 z^5)/a - 10 a z^5 - 4 a^3 z^5 - 32 z^6 + (7 z^6)/
  a^4 - (12 z^6)/a^2 - 13 a^2 z^6 + (8 z^7)/a^3 + (4 z^7)/a - 
  3 a z^7 + a^3 z^7 + 9 z^8 + (6 z^8)/a^2 + 3 a^2 z^8 + (2 z^9)/a + 
  2 a z^9, -9 - 4/a^2 - 6 a^2 + 2 a^4 + 2 a^6 + 2/z^2 + 1/(a^2 z^2) + 
  a^2/z^2 - 2/(a z) - (2 a)/z + (3 z)/a + 7 a z + 3 a^3 z - 3 a^5 z - 
  2 a^7 z + 19 z^2 + (6 z^2)/a^2 + 7 a^2 z^2 - 13 a^4 z^2 - 
  7 a^6 z^2 + (3 z^3)/a - 3 a z^3 - 7 a^3 z^3 + 6 a^5 z^3 + 
  7 a^7 z^3 - 10 z^4 - (5 z^4)/a^2 + 2 a^2 z^4 + 21 a^4 z^4 + 
  14 a^6 z^4 - (5 z^5)/a - a z^5 + 7 a^3 z^5 - 2 a^5 z^5 - 5 a^7 z^5 +
   z^6 + z^6/a^2 - 5 a^2 z^6 - 15 a^4 z^6 - 10 a^6 z^6 + z^7/a - 
  5 a^3 z^7 - 3 a^5 z^7 + a^7 z^7 + a^2 z^8 + 3 a^4 z^8 + 2 a^6 z^8 + 
  a^3 z^9 + a^5 z^9, -11 - 4/a^2 - 12 a^2 - 4 a^4 + 2/z^2 + 1/(
  a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z + (2 z)/a + 6 a z + 
  6 a^3 z + 2 a^5 z + 26 z^2 + (6 z^2)/a^2 + 30 a^2 z^2 + 10 a^4 z^2 -
   z^3/a^3 + (3 z^3)/a + 5 a z^3 - 5 a^3 z^3 - 6 a^5 z^3 - 28 z^4 + 
  z^4/a^4 - (11 z^4)/a^2 - 25 a^2 z^4 - 9 a^4 z^4 + (4 z^5)/a^3 - (
  13 z^5)/a - 25 a z^5 - 5 a^3 z^5 + 3 a^5 z^5 + 6 z^6 + (9 z^6)/a^2 -
   a^2 z^6 + 2 a^4 z^6 + (10 z^7)/a + 13 a z^7 + 3 a^3 z^7 + 5 z^8 + 
  6 a^2 z^8 + a^4 z^8 + a z^9 + a^3 z^9, -a^2 + 6 a^4 + 16 a^6 + 
  13 a^8 + 3 a^10 - (2 a^4)/z^2 - (5 a^6)/z^2 - (4 a^8)/z^2 - a^10/
  z^2 + (5 a^5)/z + (9 a^7)/z + (5 a^9)/z + a^11/z - 15 a^5 z - 
  30 a^7 z - 20 a^9 z - 5 a^11 z + 3 a^2 z^2 - 5 a^4 z^2 - 
  25 a^6 z^2 - 23 a^8 z^2 - 6 a^10 z^2 + 5 a^3 z^3 + 23 a^5 z^3 + 
  41 a^7 z^3 + 29 a^9 z^3 + 6 a^11 z^3 - 3 a^2 z^4 + 5 a^4 z^4 + 
  30 a^6 z^4 + 25 a^8 z^4 + 3 a^10 z^4 - 8 a^3 z^5 - 22 a^5 z^5 - 
  33 a^7 z^5 - 19 a^9 z^5 + a^2 z^6 - 9 a^4 z^6 - 29 a^6 z^6 - 
  16 a^8 z^6 + 3 a^10 z^6 + 3 a^3 z^7 + 4 a^5 z^7 + 9 a^7 z^7 + 
  8 a^9 z^7 + 4 a^4 z^8 + 11 a^6 z^8 + 7 a^8 z^8 + 2 a^5 z^9 + 
  2 a^7 z^9, -2 a^6 + 7 a^8 + 21 a^10 + 16 a^12 + 3 a^14 - (2 a^8)/
  z^2 - (5 a^10)/z^2 - (4 a^12)/z^2 - a^14/z^2 + (5 a^9)/z + (9 a^11)/
  z + (5 a^13)/z + a^15/z - 22 a^9 z - 39 a^11 z - 21 a^13 z - 
  4 a^15 z + 6 a^6 z^2 - 10 a^8 z^2 - 43 a^10 z^2 - 35 a^12 z^2 - 
  8 a^14 z^2 + 2 a^7 z^3 + 32 a^9 z^3 + 54 a^11 z^3 + 30 a^13 z^3 + 
  6 a^15 z^3 - 5 a^6 z^4 + 7 a^8 z^4 + 44 a^10 z^4 + 47 a^12 z^4 + 
  15 a^14 z^4 - 4 a^7 z^5 - 19 a^9 z^5 - 20 a^11 z^5 - 10 a^13 z^5 - 
  5 a^15 z^5 + a^6 z^6 - 5 a^8 z^6 - 21 a^10 z^6 - 26 a^12 z^6 - 
  11 a^14 z^6 + a^7 z^7 + 3 a^9 z^7 - 2 a^11 z^7 - 3 a^13 z^7 + 
  a^15 z^7 + a^8 z^8 + 3 a^10 z^8 + 4 a^12 z^8 + 2 a^14 z^8 + 
  a^11 z^9 + a^13 z^9, -2 a^2 + 6 a^4 + 20 a^6 + 17 a^8 + 4 a^10 - (
  2 a^4)/z^2 - (5 a^6)/z^2 - (4 a^8)/z^2 - a^10/z^2 + (5 a^5)/z + (
  9 a^7)/z + (5 a^9)/z + a^11/z + a^3 z - 16 a^5 z - 33 a^7 z - 
  21 a^9 z - 5 a^11 z + 3 a^2 z^2 - 4 a^4 z^2 - 32 a^6 z^2 - 
  32 a^8 z^2 - 7 a^10 z^2 + a^3 z^3 + 18 a^5 z^3 + 44 a^7 z^3 + 
  35 a^9 z^3 + 8 a^11 z^3 + 26 a^6 z^4 + 38 a^8 z^4 + 12 a^10 z^4 + 
  a^3 z^5 - 12 a^5 z^5 - 28 a^7 z^5 - 20 a^9 z^5 - 5 a^11 z^5 + 
  2 a^4 z^6 - 15 a^6 z^6 - 26 a^8 z^6 - 9 a^10 z^6 + 4 a^5 z^7 + 
  4 a^7 z^7 + a^9 z^7 + a^11 z^7 + 4 a^6 z^8 + 6 a^8 z^8 + 
  2 a^10 z^8 + a^7 z^9 + a^9 z^9, 
 13 - 1/a^4 + 22 a^2 + 11 a^4 - 4/z^2 - 1/(a^2 z^2) - (5 a^2)/z^2 - (
  2 a^4)/z^2 + 1/(a^3 z) + 5/(a z) + (9 a)/z + (5 a^3)/z + z/a^5 - (
  2 z)/a^3 - (19 z)/a - 35 a z - 19 a^3 z - 16 z^2 + (3 z^2)/a^4 + (
  3 z^2)/a^2 - 39 a^2 z^2 - 23 a^4 z^2 - (3 z^3)/a^5 + (4 z^3)/a^3 + (
  26 z^3)/a + 41 a z^3 + 22 a^3 z^3 + 15 z^4 - (6 z^4)/a^4 - z^4/
  a^2 + 31 a^2 z^4 + 21 a^4 z^4 + z^5/a^5 - (6 z^5)/a^3 - (14 z^5)/
  a - 16 a z^5 - 9 a^3 z^5 - 6 z^6 + (2 z^6)/a^4 - (2 z^6)/a^2 - 
  10 a^2 z^6 - 8 a^4 z^6 + (2 z^7)/a^3 + (3 z^7)/a + 2 a z^7 + 
  a^3 z^7 + z^8 + z^8/a^2 + a^2 z^8 + a^4 z^8, 
 6 - 2/a^2 + 20 a^2 + 17 a^4 + 4 a^6 - 2/z^2 - (5 a^2)/z^2 - (4 a^4)/
  z^2 - a^6/z^2 + (5 a)/z + (9 a^3)/z + (5 a^5)/z + a^7/z + z/a - 
  16 a z - 33 a^3 z - 21 a^5 z - 5 a^7 z - 7 z^2 + (6 z^2)/a^2 - 
  31 a^2 z^2 - 25 a^4 z^2 - 7 a^6 z^2 + (2 z^3)/a + 21 a z^3 + 
  37 a^3 z^3 + 28 a^5 z^3 + 10 a^7 z^3 + 7 z^4 - (5 z^4)/a^2 + 
  22 a^2 z^4 + 20 a^4 z^4 + 10 a^6 z^4 - (4 z^5)/a - 12 a z^5 - 
  16 a^3 z^5 - 14 a^5 z^5 - 6 a^7 z^5 - 5 z^6 + z^6/a^2 - 8 a^2 z^6 - 
  8 a^4 z^6 - 6 a^6 z^6 + z^7/a + 2 a z^7 + 2 a^3 z^7 + 2 a^5 z^7 + 
  a^7 z^7 + z^8 + a^2 z^8 + a^4 z^8 + a^6 z^8, 
 11 - 1/a^8 + 13/a^4 + 22/a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(a^4 z^2) - 
  5/(a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(a z) + z/
  a^9 - (2 z)/a^7 - (19 z)/a^5 - (35 z)/a^3 - (19 z)/a - 16 z^2 + (
  3 z^2)/a^8 + (6 z^2)/a^6 - (19 z^2)/a^4 - (38 z^2)/a^2 - (2 z^3)/
  a^9 + z^3/a^7 + (33 z^3)/a^5 + (48 z^3)/a^3 + (18 z^3)/a + 6 z^4 - (
  6 z^4)/a^8 - (9 z^4)/a^6 + (23 z^4)/a^4 + (32 z^4)/a^2 + z^5/a^9 - (
  6 z^5)/a^7 - (26 z^5)/a^5 - (28 z^5)/a^3 - (9 z^5)/a + (3 z^6)/
  a^8 - (17 z^6)/a^4 - (14 z^6)/a^2 + (4 z^7)/a^7 + (8 z^7)/a^5 + (
  7 z^7)/a^3 + (3 z^7)/a + (3 z^8)/a^6 + (7 z^8)/a^4 + (4 z^8)/a^2 + 
  z^9/a^5 + z^9/a^3, -2 a^2 + 6 a^4 + 20 a^6 + 17 a^8 + 4 a^10 - (
  2 a^4)/z^2 - (5 a^6)/z^2 - (4 a^8)/z^2 - a^10/z^2 + (5 a^5)/z + (
  9 a^7)/z + (5 a^9)/z + a^11/z + a^3 z - 16 a^5 z - 33 a^7 z - 
  21 a^9 z - 5 a^11 z + 5 a^2 z^2 - 4 a^4 z^2 - 36 a^6 z^2 - 
  32 a^8 z^2 - 5 a^10 z^2 + 3 a^3 z^3 + 19 a^5 z^3 + 43 a^7 z^3 + 
  30 a^9 z^3 + 3 a^11 z^3 - 4 a^2 z^4 + 36 a^6 z^4 + 34 a^8 z^4 + 
  2 a^10 z^4 - 6 a^3 z^5 - 14 a^5 z^5 - 23 a^7 z^5 - 15 a^9 z^5 + 
  a^2 z^6 - 4 a^4 z^6 - 22 a^6 z^6 - 16 a^8 z^6 + a^10 z^6 + 
  2 a^3 z^7 + 2 a^5 z^7 + 4 a^7 z^7 + 4 a^9 z^7 + 2 a^4 z^8 + 
  6 a^6 z^8 + 4 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 11 - 1/a^8 + 13/a^4 + 22/a^2 - 2/z^2 - 1/(a^6 z^2) - 4/(a^4 z^2) - 
  5/(a^2 z^2) + 1/(a^7 z) + 5/(a^5 z) + 9/(a^3 z) + 5/(a z) + z/
  a^9 - (2 z)/a^7 - (19 z)/a^5 - (35 z)/a^3 - (19 z)/a - 21 z^2 + (
  2 z^2)/a^8 + (6 z^2)/a^6 - (21 z^2)/a^4 - (46 z^2)/a^2 - z^3/a^7 + (
  31 z^3)/a^5 + (50 z^3)/a^3 + (18 z^3)/a + 18 z^4 - (10 z^4)/a^6 + (
  27 z^4)/a^4 + (55 z^4)/a^2 + z^5/a^7 - (23 z^5)/a^5 - (25 z^5)/a^3 -
   z^5/a - 7 z^6 + (3 z^6)/a^6 - (19 z^6)/a^4 - (29 z^6)/a^2 + (
  5 z^7)/a^5 + z^7/a^3 - (4 z^7)/a + z^8 + (4 z^8)/a^4 + (5 z^8)/a^2 +
   z^9/a^3 + z^9/a, 
 2 a^2 + 10 a^4 + 12 a^6 + 4 a^8 - a^10 - a^4/z^2 - (2 a^6)/z^2 - a^8/
  z^2 + (2 a^5)/z + (2 a^7)/z - a z - 3 a^3 z - 8 a^5 z - 6 a^7 z - 
  4 a^2 z^2 - 23 a^4 z^2 - 27 a^6 z^2 - 4 a^8 z^2 + 4 a^10 z^2 + 
  a z^3 + 6 a^3 z^3 + 6 a^5 z^3 + 6 a^7 z^3 + 5 a^9 z^3 + 3 a^2 z^4 + 
  23 a^4 z^4 + 28 a^6 z^4 + 4 a^8 z^4 - 4 a^10 z^4 - 2 a^3 z^5 + 
  a^5 z^5 - 4 a^7 z^5 - 7 a^9 z^5 - 9 a^4 z^6 - 16 a^6 z^6 - 
  6 a^8 z^6 + a^10 z^6 + a^3 z^7 - 2 a^5 z^7 - a^7 z^7 + 2 a^9 z^7 + 
  2 a^4 z^8 + 4 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, 
 6 + 1/a^6 + 8/a^4 + 12/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - z/a^7 - (3 z)/a^5 - (8 z)/a^3 - (6 z)/a - 
  9 z^2 - (4 z^2)/a^6 - (18 z^2)/a^4 - (23 z^2)/a^2 + z^3/a^7 + (
  7 z^3)/a^5 + (11 z^3)/a^3 + (5 z^3)/a + 3 z^4 + (3 z^4)/a^6 + (
  16 z^4)/a^4 + (16 z^4)/a^2 - (3 z^5)/a^5 - (6 z^5)/a^3 - (3 z^5)/
  a - (5 z^6)/a^4 - (5 z^6)/a^2 + z^7/a^5 + (2 z^7)/a^3 + z^7/a + z^8/
  a^4 + z^8/a^2, 
 6 a^4 + 12 a^6 + 8 a^8 + a^10 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (
  2 a^5)/z + (2 a^7)/z - 6 a^5 z - 8 a^7 z - 3 a^9 z - a^11 z - 
  15 a^4 z^2 - 33 a^6 z^2 - 20 a^8 z^2 - 2 a^10 z^2 + 8 a^7 z^3 + 
  8 a^9 z^3 + 16 a^4 z^4 + 41 a^6 z^4 + 25 a^8 z^4 + 9 a^5 z^5 + 
  3 a^7 z^5 - 6 a^9 z^5 - 7 a^4 z^6 - 20 a^6 z^6 - 13 a^8 z^6 - 
  6 a^5 z^7 - 5 a^7 z^7 + a^9 z^7 + a^4 z^8 + 3 a^6 z^8 + 2 a^8 z^8 + 
  a^5 z^9 + a^7 z^9, 
 10 - 1/a^6 + 4/a^4 + 12/a^2 + 2 a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(
  a^2 z^2) + 2/(a^3 z) + 2/(a z) - (6 z)/a^3 - (8 z)/a - 3 a z - 
  a^3 z - 31 z^2 + z^2/a^6 - (4 z^2)/a^4 - (25 z^2)/a^2 - 11 a^2 z^2 +
   z^3/a^5 + (7 z^3)/a^3 + (9 z^3)/a + 9 a z^3 + 6 a^3 z^3 + 
  39 z^4 + (2 z^4)/a^4 + (23 z^4)/a^2 + 18 a^2 z^4 - (4 z^5)/a^3 - (
  2 z^5)/a - 3 a z^5 - 5 a^3 z^5 - 22 z^6 - (11 z^6)/a^2 - 
  11 a^2 z^6 + z^7/a^3 - (3 z^7)/a - 3 a z^7 + a^3 z^7 + 4 z^8 + (
  2 z^8)/a^2 + 2 a^2 z^8 + z^9/a + a z^9, -(1/a^10) + 5/a^8 + 11/
  a^6 + 5/a^4 - 1/a^2 - 1/(a^8 z^2) - 2/(a^6 z^2) - 1/(a^4 z^2) + 2/(
  a^7 z) + 2/(a^5 z) - (9 z)/a^7 - (9 z)/a^5 + (4 z^2)/a^10 - (
  12 z^2)/a^8 - (23 z^2)/a^6 - (10 z^2)/a^4 - (3 z^2)/a^2 + (3 z^3)/
  a^9 + (18 z^3)/a^7 + (14 z^3)/a^5 + z^3/a - (4 z^4)/a^10 + (14 z^4)/
  a^8 + (25 z^4)/a^6 + (11 z^4)/a^4 + (4 z^4)/a^2 - (6 z^5)/a^9 - (
  15 z^5)/a^7 - (8 z^5)/a^5 + z^5/a^3 + z^6/a^10 - (11 z^6)/a^8 - (
  17 z^6)/a^6 - (5 z^6)/a^4 + (2 z^7)/a^9 + (2 z^7)/a^7 + z^7/a^5 + 
  z^7/a^3 + (3 z^8)/a^8 + (5 z^8)/a^6 + (2 z^8)/a^4 + z^9/a^7 + z^9/
  a^5, -3 - 2/a^2 - 2 a^2 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(
  a z) - (2 a)/z + (2 z)/a + 2 a z - 14 z^2 - (7 z^2)/a^2 - 
  7 a^2 z^2 + (3 z^3)/a^3 + z^3/a + a z^3 + 3 a^3 z^3 + 40 z^4 + (
  20 z^4)/a^2 + 20 a^2 z^4 - (4 z^5)/a^3 + (5 z^5)/a + 5 a z^5 - 
  4 a^3 z^5 - 30 z^6 - (15 z^6)/a^2 - 15 a^2 z^6 + z^7/a^3 - (8 z^7)/
  a - 8 a z^7 + a^3 z^7 + 6 z^8 + (3 z^8)/a^2 + 3 a^2 z^8 + (2 z^9)/
  a + 2 a z^9, 
 5 + 13 a^2 + 13 a^4 + 4 a^6 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - 3 a z - 7 a^3 z - 6 a^5 z - 2 a^7 z - 7 z^2 - 
  32 a^2 z^2 - 38 a^4 z^2 - 12 a^6 z^2 + a^8 z^2 - 2 a z^3 + 
  2 a^3 z^3 + 14 a^5 z^3 + 8 a^7 z^3 - 2 a^9 z^3 + 3 z^4 + 
  28 a^2 z^4 + 49 a^4 z^4 + 18 a^6 z^4 - 6 a^8 z^4 + a z^5 + 
  6 a^3 z^5 - 8 a^5 z^5 - 12 a^7 z^5 + a^9 z^5 - 11 a^2 z^6 - 
  28 a^4 z^6 - 14 a^6 z^6 + 3 a^8 z^6 + a z^7 - 4 a^3 z^7 + 
  5 a^7 z^7 + 3 a^2 z^8 + 8 a^4 z^8 + 5 a^6 z^8 + 2 a^3 z^9 + 
  2 a^5 z^9, 
 3 - 2/a^2 + 11 a^2 + 7 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - 9 a z - 9 a^3 z - 3 z^2 + (2 z^2)/a^2 - 
  27 a^2 z^2 - 19 a^4 z^2 + 3 a^6 z^2 + 10 a z^3 + 14 a^3 z^3 + 
  4 a^5 z^3 + 7 z^4 + 33 a^2 z^4 + 22 a^4 z^4 - 4 a^6 z^4 + z^5/a - 
  8 a^3 z^5 - 7 a^5 z^5 - 4 z^6 - 19 a^2 z^6 - 14 a^4 z^6 + a^6 z^6 - 
  3 a z^7 - a^3 z^7 + 2 a^5 z^7 + z^8 + 4 a^2 z^8 + 3 a^4 z^8 + 
  a z^9 + a^3 z^9, 
 13 + 4/a^2 + 13 a^2 + 5 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - (2 z)/a^3 - (6 z)/a - 7 a z - 3 a^3 z - 24 z^2 - (
  4 z^2)/a^2 - 32 a^2 z^2 - 12 a^4 z^2 + z^3/a^3 + (5 z^3)/a - 
  3 a z^3 - 7 a^3 z^3 + 21 z^4 + z^4/a^2 + 35 a^2 z^4 + 15 a^4 z^4 - 
  z^5/a + 13 a z^5 + 14 a^3 z^5 - 8 z^6 - 15 a^2 z^6 - 7 a^4 z^6 - 
  7 a z^7 - 7 a^3 z^7 + z^8 + 2 a^2 z^8 + a^4 z^8 + a z^9 + a^3 z^9, 
 a^2 + 8 a^4 + 12 a^6 + 6 a^8 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (
  2 a^5)/z + (2 a^7)/z - a z - 3 a^3 z - 8 a^5 z - 6 a^7 z + 3 z^2 - 
  2 a^2 z^2 - 22 a^4 z^2 - 25 a^6 z^2 - 8 a^8 z^2 - (2 z^3)/a + 
  5 a z^3 + 11 a^3 z^3 + 7 a^5 z^3 + 3 a^7 z^3 - 7 z^4 + 3 a^2 z^4 + 
  27 a^4 z^4 + 20 a^6 z^4 + 3 a^8 z^4 + z^5/a - 9 a z^5 - 10 a^3 z^5 -
   a^5 z^5 - a^7 z^5 + 3 z^6 - 5 a^2 z^6 - 15 a^4 z^6 - 7 a^6 z^6 + 
  4 a z^7 + 3 a^3 z^7 + a^7 z^7 + 3 a^2 z^8 + 5 a^4 z^8 + 2 a^6 z^8 + 
  a^3 z^9 + a^5 z^9, 
 13 + 4/a^2 + 13 a^2 + 5 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - (2 z)/a^3 - (6 z)/a - 7 a z - 3 a^3 z - 32 z^2 - (
  12 z^2)/a^2 - 24 a^2 z^2 - 4 a^4 z^2 + (9 z^3)/a^3 + (13 z^3)/a + 
  5 a z^3 + a^3 z^3 + 27 z^4 + (15 z^4)/a^2 + 13 a^2 z^4 + a^4 z^4 - (
  6 z^5)/a^3 - (7 z^5)/a - a z^5 - 9 z^6 - (7 z^6)/a^2 - 2 a^2 z^6 + 
  z^7/a^3 + z^7/a + z^8 + z^8/a^2, 
 a^2 + 8 a^4 + 12 a^6 + 6 a^8 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (
  2 a^5)/z + (2 a^7)/z - a z - 3 a^3 z - 8 a^5 z - 6 a^7 z - 
  7 a^2 z^2 - 26 a^4 z^2 - 29 a^6 z^2 - 9 a^8 z^2 + a^10 z^2 + 
  4 a z^3 + 10 a^3 z^3 + 10 a^5 z^3 + 6 a^7 z^3 + 2 a^9 z^3 + 
  18 a^2 z^4 + 44 a^4 z^4 + 31 a^6 z^4 + 5 a^8 z^4 - 4 a z^5 - 
  2 a^3 z^5 - 3 a^5 z^5 - 5 a^7 z^5 - 14 a^2 z^6 - 32 a^4 z^6 - 
  18 a^6 z^6 + a z^7 - 6 a^3 z^7 - 5 a^5 z^7 + 2 a^7 z^7 + 
  3 a^2 z^8 + 7 a^4 z^8 + 4 a^6 z^8 + 2 a^3 z^9 + 2 a^5 z^9, 
 7 + 2/a^2 + 7 a^2 + 3 a^4 - 1/z^2 - (2 a^2)/z^2 - a^4/z^2 + (2 a)/
  z + (2 a^3)/z - z/a^3 - (3 z)/a - 4 a z - 2 a^3 z - 21 z^2 - (
  4 z^2)/a^2 - 27 a^2 z^2 - 9 a^4 z^2 + a^6 z^2 + z^3/a^3 + (4 z^3)/
  a + 2 a z^3 + 5 a^3 z^3 + 6 a^5 z^3 + 27 z^4 + (3 z^4)/a^2 + 
  43 a^2 z^4 + 16 a^4 z^4 - 3 a^6 z^4 - z^5/a + 6 a z^5 - 3 a^3 z^5 - 
  10 a^5 z^5 - 13 z^6 - 29 a^2 z^6 - 15 a^4 z^6 + a^6 z^6 + z^7/a - 
  6 a z^7 - 4 a^3 z^7 + 3 a^5 z^7 + 3 z^8 + 7 a^2 z^8 + 4 a^4 z^8 + 
  2 a z^9 + 2 a^3 z^9, -(2/a^6) - 3/a^4 - 2/a^2 + 1/(a^6 z^2) + 2/(
  a^4 z^2) + 1/(a^2 z^2) - 2/(a^5 z) - 2/(a^3 z) + (2 z)/a^5 + (2 z)/
  a^3 - (4 z^2)/a^8 - (11 z^2)/a^6 - (10 z^2)/a^4 - (3 z^2)/a^2 + (
  5 z^3)/a^9 + (8 z^3)/a^7 + (2 z^3)/a^5 + z^3/a - (2 z^4)/a^10 + (
  15 z^4)/a^8 + (37 z^4)/a^6 + (25 z^4)/a^4 + (5 z^4)/a^2 - (11 z^5)/
  a^9 - (10 z^5)/a^7 + z^5/a^5 + z^6/a^10 - (19 z^6)/a^8 - (36 z^6)/
  a^6 - (16 z^6)/a^4 + (4 z^7)/a^9 - (3 z^7)/a^7 - (5 z^7)/a^5 + (
  2 z^7)/a^3 + (6 z^8)/a^8 + (11 z^8)/a^6 + (5 z^8)/a^4 + (3 z^9)/
  a^7 + (3 z^9)/a^5, 
 7/a^8 + 11/a^6 + 3/a^4 - 2/a^2 - 1/(a^8 z^2) - 2/(a^6 z^2) - 1/(
  a^4 z^2) + 2/(a^7 z) + 2/(a^5 z) - (9 z)/a^7 - (9 z)/a^5 + (5 z^2)/
  a^10 - (17 z^2)/a^8 - (25 z^2)/a^6 + (3 z^2)/a^4 + (6 z^2)/a^2 + (
  5 z^3)/a^9 + (13 z^3)/a^7 + (13 z^3)/a^5 + (5 z^3)/a^3 - (5 z^4)/
  a^10 + (16 z^4)/a^8 + (21 z^4)/a^6 - (5 z^4)/a^4 - (5 z^4)/a^2 - (
  5 z^5)/a^9 - (7 z^5)/a^7 - (7 z^5)/a^5 - (5 z^5)/a^3 + z^6/a^10 - (
  7 z^6)/a^8 - (8 z^6)/a^6 + z^6/a^4 + z^6/a^2 + z^7/a^9 + z^7/a^7 + 
  z^7/a^5 + z^7/a^3 + z^8/a^8 + z^8/a^6, -(2/a^10) + 3/a^8 + 11/a^6 + 
  7/a^4 - 1/(a^8 z^2) - 2/(a^6 z^2) - 1/(a^4 z^2) + 2/(a^7 z) + 2/(
  a^5 z) - (9 z)/a^7 - (9 z)/a^5 - (3 z^2)/a^12 + (5 z^2)/a^10 - (
  11 z^2)/a^8 - (35 z^2)/a^6 - (16 z^2)/a^4 - (3 z^3)/a^11 + (7 z^3)/
  a^9 + (13 z^3)/a^7 + (3 z^3)/a^5 + z^4/a^12 - (5 z^4)/a^10 + (
  22 z^4)/a^8 + (44 z^4)/a^6 + (16 z^4)/a^4 + z^5/a^11 - (6 z^5)/a^9 +
   z^5/a^7 + (8 z^5)/a^5 + z^6/a^10 - (13 z^6)/a^8 - (21 z^6)/a^6 - (
  7 z^6)/a^4 + z^7/a^9 - (5 z^7)/a^7 - (6 z^7)/a^5 + (2 z^8)/a^8 + (
  3 z^8)/a^6 + z^8/a^4 + z^9/a^7 + z^9/a^5, 
 8 + 6/a^4 + 12/a^2 + a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - (6 z)/a^3 - (8 z)/a - 3 a z - a^3 z - 24 z^2 + (
  2 z^2)/a^6 - (11 z^2)/a^4 - (33 z^2)/a^2 - 4 a^2 z^2 + (5 z^3)/
  a^5 + (8 z^3)/a^3 + (10 z^3)/a + 8 a z^3 + a^3 z^3 + 32 z^4 - (
  3 z^4)/a^6 + (13 z^4)/a^4 + (44 z^4)/a^2 + 4 a^2 z^4 - (9 z^5)/
  a^5 - (7 z^5)/a^3 - (2 z^5)/a - 4 a z^5 - 16 z^6 + z^6/a^6 - (
  13 z^6)/a^4 - (30 z^6)/a^2 + (3 z^7)/a^5 - (2 z^7)/a^3 - (3 z^7)/
  a + 2 a z^7 + 4 z^8 + (4 z^8)/a^4 + (8 z^8)/a^2 + (2 z^9)/a^3 + (
  2 z^9)/a, 
 6 + 1/a^6 + 8/a^4 + 12/a^2 - 1/z^2 - 1/(a^4 z^2) - 2/(a^2 z^2) + 2/(
  a^3 z) + 2/(a z) - z/a^7 - (3 z)/a^5 - (8 z)/a^3 - (6 z)/a - 
  12 z^2 + z^2/a^8 - (4 z^2)/a^6 - (24 z^2)/a^4 - (31 z^2)/a^2 - z^3/
  a^9 + (4 z^3)/a^7 + (14 z^3)/a^5 + (12 z^3)/a^3 + (3 z^3)/a + 
  6 z^4 - (6 z^4)/a^8 + (7 z^4)/a^6 + (41 z^4)/a^4 + (34 z^4)/a^2 + 
  z^5/a^9 - (12 z^5)/a^7 - (17 z^5)/a^5 - (7 z^5)/a^3 - (3 z^5)/a + (
  4 z^6)/a^8 - (12 z^6)/a^6 - (34 z^6)/a^4 - (18 z^6)/a^2 + (7 z^7)/
  a^7 + (4 z^7)/a^5 + (3 z^7)/a + (7 z^8)/a^6 + (13 z^8)/a^4 + (
  6 z^8)/a^2 + (3 z^9)/a^5 + (3 z^9)/a^3, 
 1 + 2/z^2 + 1/(a^2 z^2) + a^2/z^2 - 2/(a z) - (2 a)/z - 20 z^2 - (
  12 z^2)/a^2 - 4 a^2 z^2 + 4 a^4 z^2 + (5 z^3)/a^3 + (4 z^3)/a + 
  6 a z^3 + 4 a^3 z^3 - 3 a^5 z^3 + 36 z^4 + (20 z^4)/a^2 + 
  8 a^2 z^4 - 8 a^4 z^4 - (5 z^5)/a^3 + (3 z^5)/a + 2 a z^5 - 
  5 a^3 z^5 + a^5 z^5 - 20 z^6 - (12 z^6)/a^2 - 6 a^2 z^6 + 
  2 a^4 z^6 + z^7/a^3 - (5 z^7)/a - 5 a z^7 + a^3 z^7 + 3 z^8 + (
  2 z^8)/a^2 + a^2 z^8 + z^9/a + a z^9, -2 a^2 + 3 a^4 + 11 a^6 + 
  7 a^8 - a^4/z^2 - (2 a^6)/z^2 - a^8/z^2 + (2 a^5)/z + (2 a^7)/z - 
  9 a^5 z - 9 a^7 z + 6 a^2 z^2 + 3 a^4 z^2 - 25 a^6 z^2 - 
  17 a^8 z^2 + 5 a^10 z^2 + 5 a^3 z^3 + 13 a^5 z^3 + 13 a^7 z^3 + 
  5 a^9 z^3 - 5 a^2 z^4 - 5 a^4 z^4 + 21 a^6 z^4 + 16 a^8 z^4 - 
  5 a^10 z^4 - 5 a^3 z^5 - 7 a^5 z^5 - 7 a^7 z^5 - 5 a^9 z^5 + 
  a^2 z^6 + a^4 z^6 - 8 a^6 z^6 - 7 a^8 z^6 + a^10 z^6 + a^3 z^7 + 
  a^5 z^7 + a^7 z^7 + a^9 z^7 + a^6 z^8 + a^8 z^8, -(4/a^12) - 24/
  a^10 - 58/a^8 - 60/a^6 - 23/a^4 - 1/(a^11 z^3) - 5/(a^9 z^3) - 9/(
  a^7 z^3) - 7/(a^5 z^3) - 2/(a^3 z^3) + 1/(a^12 z^2) + 7/(
  a^10 z^2) + 18/(a^8 z^2) + 19/(a^6 z^2) + 7/(a^4 z^2) + 2/(
  a^11 z) + 12/(a^9 z) + 24/(a^7 z) + 23/(a^5 z) + 9/(a^3 z) - (2 z)/
  a^11 - (16 z)/a^9 - (37 z)/a^7 - (39 z)/a^5 - (16 z)/a^3 + (6 z^2)/
  a^12 + (34 z^2)/a^10 + (75 z^2)/a^8 + (73 z^2)/a^6 + (26 z^2)/
  a^4 + (4 z^3)/a^11 + (22 z^3)/a^9 + (50 z^3)/a^7 + (42 z^3)/a^5 + (
  10 z^3)/a^3 - (4 z^4)/a^12 - (21 z^4)/a^10 - (46 z^4)/a^8 - (
  41 z^4)/a^6 - (12 z^4)/a^4 - (5 z^5)/a^11 - (25 z^5)/a^9 - (46 z^5)/
  a^7 - (26 z^5)/a^5 + z^6/a^12 + (2 z^6)/a^10 + (5 z^6)/a^6 + (
  6 z^6)/a^4 + (2 z^7)/a^11 + (8 z^7)/a^9 + (16 z^7)/a^7 + (10 z^7)/
  a^5 + (2 z^8)/a^10 + (7 z^8)/a^8 + (5 z^8)/a^6 + z^9/a^9 + z^9/
  a^7, -58 - 23/a^4 - 60/a^2 - 24 a^2 - 4 a^4 - 2/(a^5 z^3) - 7/(
  a^3 z^3) - 9/(a z^3) - (5 a)/z^3 - a^3/z^3 + 18/z^2 + 7/(a^4 z^2) + 
  19/(a^2 z^2) + (7 a^2)/z^2 + a^4/z^2 + 9/(a^5 z) + 23/(a^3 z) + 24/(
  a z) + (12 a)/z + (2 a^3)/z - (16 z)/a^5 - (39 z)/a^3 - (37 z)/a - 
  16 a z - 2 a^3 z + 75 z^2 + (26 z^2)/a^4 + (73 z^2)/a^2 + 
  34 a^2 z^2 + 6 a^4 z^2 + (14 z^3)/a^5 + (46 z^3)/a^3 + (46 z^3)/a + 
  18 a z^3 + 4 a^3 z^3 - 40 z^4 - (9 z^4)/a^4 - (37 z^4)/a^2 - 
  17 a^2 z^4 - 5 a^4 z^4 - (6 z^5)/a^5 - (30 z^5)/a^3 - (28 z^5)/a - 
  9 a z^5 - 5 a^3 z^5 + 6 z^6 - (2 z^6)/a^4 + (3 z^6)/a^2 + 
  2 a^2 z^6 + a^4 z^6 + z^7/a^5 + (6 z^7)/a^3 + (5 z^7)/a + a z^7 + 
  a^3 z^7 + z^8/a^4 + z^8/a^2, -23 - 4/a^8 - 24/a^6 - 58/a^4 - 60/
  a^2 - 1/(a^7 z^3) - 5/(a^5 z^3) - 9/(a^3 z^3) - 7/(a z^3) - (2 a)/
  z^3 + 7/z^2 + 1/(a^8 z^2) + 7/(a^6 z^2) + 18/(a^4 z^2) + 19/(
  a^2 z^2) + 2/(a^7 z) + 12/(a^5 z) + 24/(a^3 z) + 23/(a z) + (9 a)/
  z - (2 z)/a^7 - (16 z)/a^5 - (37 z)/a^3 - (39 z)/a - 16 a z + 
  26 z^2 + (6 z^2)/a^8 + (34 z^2)/a^6 + (75 z^2)/a^4 + (73 z^2)/
  a^2 + (4 z^3)/a^7 + (23 z^3)/a^5 + (41 z^3)/a^3 + (37 z^3)/a + 
  15 a z^3 - 11 z^4 - (4 z^4)/a^8 - (26 z^4)/a^6 - (43 z^4)/a^4 - (
  32 z^4)/a^2 - (6 z^5)/a^7 - (24 z^5)/a^5 - (23 z^5)/a^3 - (12 z^5)/
  a - 7 a z^5 + z^6 + z^6/a^8 + (4 z^6)/a^6 + (7 z^6)/a^4 + (5 z^6)/
  a^2 + (2 z^7)/a^7 + (7 z^7)/a^5 + (5 z^7)/a^3 + z^7/a + a z^7 + z^8/
  a^6 + z^8/a^4, -4 - 24 a^2 - 58 a^4 - 60 a^6 - 23 a^8 - a/z^3 - (
  5 a^3)/z^3 - (9 a^5)/z^3 - (7 a^7)/z^3 - (2 a^9)/z^3 + 1/z^2 + (
  7 a^2)/z^2 + (18 a^4)/z^2 + (19 a^6)/z^2 + (7 a^8)/z^2 + (2 a)/z + (
  12 a^3)/z + (24 a^5)/z + (23 a^7)/z + (9 a^9)/z - 2 a z - 
  16 a^3 z - 37 a^5 z - 39 a^7 z - 16 a^9 z + 6 z^2 + 34 a^2 z^2 + 
  75 a^4 z^2 + 73 a^6 z^2 + 26 a^8 z^2 + 3 a z^3 + 27 a^3 z^3 + 
  51 a^5 z^3 + 41 a^7 z^3 + 14 a^9 z^3 - 25 a^2 z^4 - 44 a^4 z^4 - 
  29 a^6 z^4 - 10 a^8 z^4 + 3 a z^5 - 29 a^3 z^5 - 47 a^5 z^5 - 
  21 a^7 z^5 - 6 a^9 z^5 + 10 a^2 z^6 + a^4 z^6 - 10 a^6 z^6 - 
  a^8 z^6 + 11 a^3 z^7 + 12 a^5 z^7 + 2 a^7 z^7 + a^9 z^7 + 
  5 a^4 z^8 + 6 a^6 z^8 + a^8 z^8 + a^5 z^9 + a^7 z^9, -9 - 1/a^8 - 6/
  a^6 - 18/a^4 - 21/a^2 - 1/(a^5 z^3) - 3/(a^3 z^3) - 3/(a z^3) - a/
  z^3 + 3/z^2 + 3/(a^4 z^2) + 6/(a^2 z^2) + 2/(a^7 z) + 11/(a^5 z) + 
  18/(a^3 z) + 14/(a z) + (5 a)/z - (6 z)/a^7 - (30 z)/a^5 - (49 z)/
  a^3 - (35 z)/a - 10 a z + 7 z^2 + (3 z^2)/a^8 + (14 z^2)/a^6 + (
  28 z^2)/a^4 + (24 z^2)/a^2 + (9 z^3)/a^7 + (47 z^3)/a^5 + (74 z^3)/
  a^3 + (42 z^3)/a + 6 a z^3 - 3 z^4 - (3 z^4)/a^8 - (11 z^4)/a^6 - (
  9 z^4)/a^4 - (4 z^4)/a^2 - (9 z^5)/a^7 - (40 z^5)/a^5 - (53 z^5)/
  a^3 - (22 z^5)/a + 3 z^6 + z^6/a^8 - (3 z^6)/a^6 - (14 z^6)/a^4 - (
  7 z^6)/a^2 + (3 z^7)/a^7 + (10 z^7)/a^5 + (14 z^7)/a^3 + (7 z^7)/
  a + (3 z^8)/a^6 + (8 z^8)/a^4 + (5 z^8)/a^2 + z^9/a^5 + z^9/
  a^3, -18 - 9/a^4 - 21/a^2 - 6 a^2 - a^4 - 1/(a^5 z^3) - 3/(
  a^3 z^3) - 3/(a z^3) - a/z^3 + 3/z^2 + 3/(a^4 z^2) + 6/(a^2 z^2) + 
  5/(a^5 z) + 14/(a^3 z) + 18/(a z) + (11 a)/z + (2 a^3)/z - (10 z)/
  a^5 - (35 z)/a^3 - (49 z)/a - 30 a z - 6 a^3 z + 28 z^2 + (7 z^2)/
  a^4 + (24 z^2)/a^2 + 14 a^2 z^2 + 3 a^4 z^2 + (11 z^3)/a^5 + (
  42 z^3)/a^3 + (60 z^3)/a + 39 a z^3 + 10 a^3 z^3 - 10 z^4 + (3 z^4)/
  a^4 - (3 z^4)/a^2 - 8 a^2 z^4 - 4 a^4 z^4 - (6 z^5)/a^5 - (21 z^5)/
  a^3 - (29 z^5)/a - 23 a z^5 - 9 a^3 z^5 - 3 z^6 - (5 z^6)/a^4 - (
  5 z^6)/a^2 - 2 a^2 z^6 + a^4 z^6 + z^7/a^5 + (3 z^7)/a^3 + (4 z^7)/
  a + 4 a z^7 + 2 a^3 z^7 + z^8 + z^8/a^4 + z^8/a^2 + a^2 z^8, -1 - 
  6 a^2 - 18 a^4 - 21 a^6 - 9 a^8 - a^3/z^3 - (3 a^5)/z^3 - (3 a^7)/
  z^3 - a^9/z^3 + (3 a^4)/z^2 + (6 a^6)/z^2 + (3 a^8)/z^2 + (2 a)/
  z + (11 a^3)/z + (18 a^5)/z + (14 a^7)/z + (5 a^9)/z - 6 a z - 
  30 a^3 z - 49 a^5 z - 35 a^7 z - 10 a^9 z + 3 z^2 + 14 a^2 z^2 + 
  28 a^4 z^2 + 24 a^6 z^2 + 7 a^8 z^2 + 5 a z^3 + 39 a^3 z^3 + 
  74 a^5 z^3 + 50 a^7 z^3 + 10 a^9 z^3 - 11 a^2 z^4 - 11 a^4 z^4 + 
  4 a^6 z^4 + 4 a^8 z^4 + a z^5 - 27 a^3 z^5 - 54 a^5 z^5 - 
  31 a^7 z^5 - 5 a^9 z^5 + 5 a^2 z^6 - 9 a^4 z^6 - 21 a^6 z^6 - 
  7 a^8 z^6 + 8 a^3 z^7 + 11 a^5 z^7 + 4 a^7 z^7 + a^9 z^7 + 
  5 a^4 z^8 + 7 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, -9 - 1/a^8 - 
  6/a^6 - 18/a^4 - 21/a^2 - 1/(a^5 z^3) - 3/(a^3 z^3) - 3/(a z^3) - a/
  z^3 + 3/z^2 + 3/(a^4 z^2) + 6/(a^2 z^2) + 2/(a^7 z) + 11/(a^5 z) + 
  18/(a^3 z) + 14/(a z) + (5 a)/z - (6 z)/a^7 - (31 z)/a^5 - (48 z)/
  a^3 - (30 z)/a - 7 a z + 5 z^2 + (3 z^2)/a^8 + (14 z^2)/a^6 + (
  30 z^2)/a^4 + (24 z^2)/a^2 + (9 z^3)/a^7 + (45 z^3)/a^5 + (66 z^3)/
  a^3 + (33 z^3)/a + 3 a z^3 - (3 z^4)/a^8 - (12 z^4)/a^6 - (9 z^4)/
  a^4 - (9 z^5)/a^7 - (38 z^5)/a^5 - (43 z^5)/a^3 - (14 z^5)/a + z^6 +
   z^6/a^8 - (3 z^6)/a^6 - (13 z^6)/a^4 - (8 z^6)/a^2 + (3 z^7)/
  a^7 + (9 z^7)/a^5 + (10 z^7)/a^3 + (4 z^7)/a + (3 z^8)/a^6 + (
  7 z^8)/a^4 + (4 z^8)/a^2 + z^9/a^5 + z^9/a^3, -18 - 9/a^4 - 21/
  a^2 - 6 a^2 - a^4 - 1/(a^5 z^3) - 3/(a^3 z^3) - 3/(a z^3) - a/z^3 + 
  3/z^2 + 3/(a^4 z^2) + 6/(a^2 z^2) + 5/(a^5 z) + 14/(a^3 z) + 18/(
  a z) + (11 a)/z + (2 a^3)/z - (11 z)/a^5 - (34 z)/a^3 - (44 z)/a - 
  27 a z - 6 a^3 z + 26 z^2 + (9 z^2)/a^4 + (24 z^2)/a^2 + 
  14 a^2 z^2 + 3 a^4 z^2 + (12 z^3)/a^5 + (42 z^3)/a^3 + (57 z^3)/a + 
  36 a z^3 + 9 a^3 z^3 - 8 z^4 - (6 z^4)/a^2 - 6 a^2 z^4 - 
  4 a^4 z^4 - (6 z^5)/a^5 - (24 z^5)/a^3 - (29 z^5)/a - 20 a z^5 - 
  9 a^3 z^5 - 4 z^6 - (4 z^6)/a^4 - (4 z^6)/a^2 - 3 a^2 z^6 + 
  a^4 z^6 + z^7/a^5 + (4 z^7)/a^3 + (4 z^7)/a + 3 a z^7 + 2 a^3 z^7 + 
  z^8 + z^8/a^4 + z^8/a^2 + a^2 z^8, -1 - 6 a^2 - 18 a^4 - 21 a^6 - 
  9 a^8 - a^3/z^3 - (3 a^5)/z^3 - (3 a^7)/z^3 - a^9/z^3 + (3 a^4)/
  z^2 + (6 a^6)/z^2 + (3 a^8)/z^2 + (2 a)/z + (11 a^3)/z + (18 a^5)/
  z + (14 a^7)/z + (5 a^9)/z - 5 a z - 31 a^3 z - 54 a^5 z - 
  38 a^7 z - 10 a^9 z + 3 z^2 + 15 a^2 z^2 + 33 a^4 z^2 + 
  27 a^6 z^2 + 6 a^8 z^2 + 7 a z^3 + 45 a^3 z^3 + 83 a^5 z^3 + 
  55 a^7 z^3 + 10 a^9 z^3 - 14 a^2 z^4 - 18 a^4 z^4 + a^6 z^4 + 
  5 a^8 z^4 + a z^5 - 35 a^3 z^5 - 65 a^5 z^5 - 34 a^7 z^5 - 
  5 a^9 z^5 + 7 a^2 z^6 - 8 a^4 z^6 - 22 a^6 z^6 - 7 a^8 z^6 + 
  11 a^3 z^7 + 15 a^5 z^7 + 5 a^7 z^7 + a^9 z^7 + 6 a^4 z^8 + 
  8 a^6 z^8 + 2 a^8 z^8 + a^5 z^9 + a^7 z^9, -6 - 11 a^2 - 6 a^4 - 1/(
  a z^3) - (3 a)/z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/z^2 + (6 a^2)/z^2 + (
  3 a^4)/z^2 + 3/(a z) + (6 a)/z + (6 a^3)/z + (3 a^5)/z - (3 z)/
  a^3 - (8 z)/a - 7 a z - 5 a^3 z - 3 a^5 z - 2 z^2 + z^2/a^4 + z^2/
  a^2 + a^2 z^2 + 3 a^4 z^2 + (8 z^3)/a^3 + (19 z^3)/a + 10 a z^3 + 
  a^5 z^3 + 19 z^4 - (3 z^4)/a^4 + (7 z^4)/a^2 + 9 a^2 z^4 - (11 z^5)/
  a^3 - (13 z^5)/a - a z^5 + a^3 z^5 - 17 z^6 + z^6/a^4 - (11 z^6)/
  a^2 - 5 a^2 z^6 + (3 z^7)/a^3 - 3 a z^7 + 4 z^8 + (3 z^8)/a^2 + 
  a^2 z^8 + z^9/a + a z^9, 
 a^2 - 11 a^4 - 24 a^6 - 13 a^8 - a^3/z^3 - (3 a^5)/z^3 - (3 a^7)/
  z^3 - a^9/z^3 + (3 a^4)/z^2 + (6 a^6)/z^2 + (3 a^8)/z^2 - a/z + (
  3 a^3)/z + (12 a^5)/z + (14 a^7)/z + (6 a^9)/z - 8 a^3 z - 
  22 a^5 z - 27 a^7 z - 13 a^9 z + z^2 + a^2 z^2 + 11 a^4 z^2 + 
  28 a^6 z^2 + 17 a^8 z^2 + 5 a z^3 + 19 a^3 z^3 + 30 a^5 z^3 + 
  29 a^7 z^3 + 13 a^9 z^3 - 3 a^2 z^4 - 3 a^6 z^4 - 6 a^8 z^4 - 
  18 a^3 z^5 - 26 a^5 z^5 - 14 a^7 z^5 - 6 a^9 z^5 + 3 a^2 z^6 - 
  9 a^4 z^6 - 14 a^6 z^6 - 2 a^8 z^6 + 6 a^3 z^7 + 5 a^5 z^7 + 
  a^9 z^7 + 4 a^4 z^8 + 5 a^6 z^8 + a^8 z^8 + a^5 z^9 + 
  a^7 z^9, -18 - 1/a^4 - 6/a^2 - 21 a^2 - 9 a^4 - 1/(a z^3) - (3 a)/
  z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/z^2 + (6 a^2)/z^2 + (3 a^4)/z^2 + 
  2/(a^3 z) + 11/(a z) + (18 a)/z + (14 a^3)/z + (5 a^5)/z - (6 z)/
  a^3 - (27 z)/a - 44 a z - 34 a^3 z - 11 a^5 z + 26 z^2 + (3 z^2)/
  a^4 + (14 z^2)/a^2 + 24 a^2 z^2 + 9 a^4 z^2 + (9 z^3)/a^3 + (
  42 z^3)/a + 67 a z^3 + 44 a^3 z^3 + 10 a^5 z^3 - 9 z^4 - (3 z^4)/
  a^4 - (7 z^4)/a^2 - 9 a^2 z^4 - 4 a^4 z^4 - (8 z^5)/a^3 - (39 z^5)/
  a - 62 a z^5 - 31 a^3 z^5 - 21 z^6 + z^6/a^4 - (5 z^6)/a^2 - 
  9 a^2 z^6 + 6 a^4 z^6 + (3 z^7)/a^3 + (10 z^7)/a + 20 a z^7 + 
  13 a^3 z^7 + 13 z^8 + (4 z^8)/a^2 + 9 a^2 z^8 + (2 z^9)/a + 
  2 a z^9, -9 - 21 a^2 - 18 a^4 - 6 a^6 - a^8 - 1/(a z^3) - (3 a)/
  z^3 - (3 a^3)/z^3 - a^5/z^3 + 3/z^2 + (6 a^2)/z^2 + (3 a^4)/z^2 + 
  5/(a z) + (14 a)/z + (18 a^3)/z + (11 a^5)/z + (2 a^7)/z - (10 z)/
  a - 38 a z - 54 a^3 z - 31 a^5 z - 5 a^7 z + 6 z^2 + 27 a^2 z^2 + 
  33 a^4 z^2 + 15 a^6 z^2 + 3 a^8 z^2 + (10 z^3)/a + 49 a z^3 + 
  73 a^3 z^3 + 43 a^5 z^3 + 9 a^7 z^3 + 5 z^4 - 2 a^2 z^4 - 
  19 a^4 z^4 - 15 a^6 z^4 - 3 a^8 z^4 - (6 z^5)/a - 20 a z^5 - 
  39 a^3 z^5 - 35 a^5 z^5 - 10 a^7 z^5 - 6 z^6 - 5 a^2 z^6 - a^4 z^6 -
   a^6 z^6 + a^8 z^6 + z^7/a + 2 a z^7 + 7 a^3 z^7 + 9 a^5 z^7 + 
  3 a^7 z^7 + z^8 + a^2 z^8 + 2 a^4 z^8 + 2 a^6 z^8, -18 - 1/a^4 - 6/
  a^2 - 21 a^2 - 9 a^4 - 1/(a z^3) - (3 a)/z^3 - (3 a^3)/z^3 - a^5/
  z^3 + 3/z^2 + (6 a^2)/z^2 + (3 a^4)/z^2 + 2/(a^3 z) + 11/(a z) + (
  18 a)/z + (14 a^3)/z + (5 a^5)/z - (9 z)/a^3 - (35 z)/a - 50 a z - 
  34 a^3 z - 10 a^5 z + 23 z^2 + (4 z^2)/a^4 + (15 z^2)/a^2 + 
  19 a^2 z^2 + 7 a^4 z^2 + (11 z^3)/a^3 + (51 z^3)/a + 75 a z^3 + 
  45 a^3 z^3 + 10 a^5 z^3 + 7 z^4 - (5 z^4)/a^4 - (7 z^4)/a^2 + 
  12 a^2 z^4 + 3 a^4 z^4 - (7 z^5)/a^3 - (27 z^5)/a - 44 a z^5 - 
  29 a^3 z^5 - 5 a^5 z^5 - 17 z^6 + z^6/a^4 - 23 a^2 z^6 - 7 a^4 z^6 +
   z^7/a^3 + (4 z^7)/a + 5 a z^7 + 3 a^3 z^7 + a^5 z^7 + 4 z^8 + 
  6 a^2 z^8 + 2 a^4 z^8 + a z^9 + a^3 z^9, -10 a^8 - 19 a^10 - 
  10 a^12 - a^7/z^3 - (3 a^9)/z^3 - (3 a^11)/z^3 - a^13/z^3 + (3 a^8)/
  z^2 + (6 a^10)/z^2 + (3 a^12)/z^2 + (5 a^7)/z + (12 a^9)/z + (
  12 a^11)/z + (5 a^13)/z - 11 a^7 z - 23 a^9 z - 21 a^11 z - 
  12 a^13 z - 3 a^15 z + 12 a^8 z^2 + 15 a^10 z^2 + 3 a^12 z^2 + 
  a^14 z^2 + a^16 z^2 + 12 a^7 z^3 + 22 a^9 z^3 + 25 a^11 z^3 + 
  18 a^13 z^3 + 3 a^15 z^3 - 3 a^8 z^4 + 10 a^10 z^4 + 12 a^12 z^4 - 
  a^14 z^4 - 6 a^7 z^5 - 8 a^9 z^5 - 14 a^11 z^5 - 12 a^13 z^5 - 
  3 a^8 z^6 - 16 a^10 z^6 - 12 a^12 z^6 + a^14 z^6 + a^7 z^7 - 
  2 a^9 z^7 + 3 a^13 z^7 + a^8 z^8 + 4 a^10 z^8 + 3 a^12 z^8 + 
  a^9 z^9 + a^11 z^9, -10 a^4 - 19 a^6 - 10 a^8 - a^3/z^3 - (3 a^5)/
  z^3 - (3 a^7)/z^3 - a^9/z^3 + (3 a^4)/z^2 + (6 a^6)/z^2 + (3 a^8)/
  z^2 + (5 a^3)/z + (12 a^5)/z + (12 a^7)/z + (5 a^9)/z - 7 a^3 z - 
  19 a^5 z - 25 a^7 z - 16 a^9 z - 3 a^11 z + 8 a^4 z^2 + 
  15 a^6 z^2 + 7 a^8 z^2 + a^10 z^2 + a^12 z^2 + 3 a^3 z^3 + 
  16 a^5 z^3 + 31 a^7 z^3 + 28 a^9 z^3 + 10 a^11 z^3 - 2 a^4 z^4 + 
  a^6 z^4 + 10 a^8 z^4 + 4 a^10 z^4 - 3 a^12 z^4 - 6 a^5 z^5 - 
  16 a^7 z^5 - 21 a^9 z^5 - 11 a^11 z^5 + a^4 z^6 - 4 a^6 z^6 - 
  15 a^8 z^6 - 9 a^10 z^6 + a^12 z^6 + 2 a^5 z^7 + 2 a^7 z^7 + 
  3 a^9 z^7 + 3 a^11 z^7 + 2 a^6 z^8 + 5 a^8 z^8 + 3 a^10 z^8 + 
  a^7 z^9 + a^9 z^9, -10 - 10/a^4 - 19/a^2 - 1/(a^5 z^3) - 3/(
  a^3 z^3) - 3/(a z^3) - a/z^3 + 3/z^2 + 3/(a^4 z^2) + 6/(a^2 z^2) + 
  5/(a^5 z) + 12/(a^3 z) + 12/(a z) + (5 a)/z - (10 z)/a^5 - (27 z)/
  a^3 - (31 z)/a - 16 a z - 2 a^3 z + 10 z^2 + (9 z^2)/a^4 + (18 z^2)/
  a^2 + 2 a^2 z^2 + a^4 z^2 + (10 z^3)/a^5 + (42 z^3)/a^3 + (52 z^3)/
  a + 24 a z^3 + 4 a^3 z^3 + z^4 + (3 z^4)/a^4 + (6 z^4)/a^2 - 
  2 a^2 z^4 - (5 z^5)/a^5 - (27 z^5)/a^3 - (39 z^5)/a - 17 a z^5 - 
  10 z^6 - (7 z^6)/a^4 - (19 z^6)/a^2 + 2 a^2 z^6 + z^7/a^5 + (3 z^7)/
  a^3 + (7 z^7)/a + 5 a z^7 + 4 z^8 + (2 z^8)/a^4 + (6 z^8)/a^2 + z^9/
  a^3 + z^9/a, -10 - 19 a^2 - 10 a^4 - 1/(a z^3) - (3 a)/z^3 - (
  3 a^3)/z^3 - a^5/z^3 + 3/z^2 + (6 a^2)/z^2 + (3 a^4)/z^2 + 5/(
  a z) + (12 a)/z + (12 a^3)/z + (5 a^5)/z - (11 z)/a - 23 a z - 
  21 a^3 z - 12 a^5 z - 3 a^7 z + 12 z^2 + 15 a^2 z^2 + 3 a^4 z^2 + 
  a^6 z^2 + a^8 z^2 + (14 z^3)/a + 18 a z^3 + 17 a^3 z^3 + 
  22 a^5 z^3 + 9 a^7 z^3 - 4 z^4 + 4 a^2 z^4 + 16 a^4 z^4 + 
  5 a^6 z^4 - 3 a^8 z^4 - (7 z^5)/a - 4 a z^5 - 2 a^3 z^5 - 
  16 a^5 z^5 - 11 a^7 z^5 - 5 a^2 z^6 - 16 a^4 z^6 - 10 a^6 z^6 + 
  a^8 z^6 + z^7/a - 3 a^3 z^7 + a^5 z^7 + 3 a^7 z^7 + a^2 z^8 + 
  4 a^4 z^8 + 3 a^6 z^8 + a^3 z^9 + a^5 z^9, -10 a^8 - 19 a^10 - 
  10 a^12 - a^7/z^3 - (3 a^9)/z^3 - (3 a^11)/z^3 - a^13/z^3 + (3 a^8)/
  z^2 + (6 a^10)/z^2 + (3 a^12)/z^2 + (5 a^7)/z + (12 a^9)/z + (
  12 a^11)/z + (5 a^13)/z - 12 a^7 z - 23 a^9 z - 15 a^11 z - 
  4 a^13 z + 14 a^8 z^2 + 20 a^10 z^2 + 6 a^12 z^2 - 2 a^5 z^3 + 
  19 a^7 z^3 + 29 a^9 z^3 + 3 a^11 z^3 - 5 a^13 z^3 - 5 a^6 z^4 - 
  5 a^8 z^4 - 4 a^10 z^4 - 3 a^12 z^4 + a^14 z^4 + a^5 z^5 - 
  17 a^7 z^5 - 22 a^9 z^5 + a^11 z^5 + 5 a^13 z^5 + 3 a^6 z^6 - 
  5 a^8 z^6 - 6 a^10 z^6 + 2 a^12 z^6 + 6 a^7 z^7 + 7 a^9 z^7 + 
  a^11 z^7 + 4 a^8 z^8 + 5 a^10 z^8 + a^12 z^8 + a^9 z^9 + 
  a^11 z^9, -(10/a^8) - 19/a^6 - 10/a^4 - 1/(a^9 z^3) - 3/(a^7 z^3) - 
  3/(a^5 z^3) - 1/(a^3 z^3) + 3/(a^8 z^2) + 6/(a^6 z^2) + 3/(
  a^4 z^2) + 5/(a^9 z) + 12/(a^7 z) + 12/(a^5 z) + 5/(a^3 z) - (2 z)/
  a^11 - (16 z)/a^9 - (31 z)/a^7 - (27 z)/a^5 - (10 z)/a^3 + z^2/
  a^12 + (2 z^2)/a^10 + (10 z^2)/a^8 + (18 z^2)/a^6 + (9 z^2)/a^4 + (
  8 z^3)/a^11 + (32 z^3)/a^9 + (52 z^3)/a^7 + (34 z^3)/a^5 + (6 z^3)/
  a^3 - (2 z^4)/a^12 + (2 z^4)/a^10 + (9 z^4)/a^8 + (2 z^4)/a^6 - (
  3 z^4)/a^4 - (11 z^5)/a^11 - (33 z^5)/a^9 - (41 z^5)/a^7 - (19 z^5)/
  a^5 + z^6/a^12 - (11 z^6)/a^10 - (25 z^6)/a^8 - (10 z^6)/a^6 + (
  3 z^6)/a^4 + (4 z^7)/a^11 + (7 z^7)/a^9 + (10 z^7)/a^7 + (7 z^7)/
  a^5 + (5 z^8)/a^10 + (11 z^8)/a^8 + (6 z^8)/a^6 + (2 z^9)/a^9 + (
  2 z^9)/a^7, -10 - 10/a^4 - 19/a^2 - 1/(a^5 z^3) - 3/(a^3 z^3) - 3/(
  a z^3) - a/z^3 + 3/z^2 + 3/(a^4 z^2) + 6/(a^2 z^2) + 5/(a^5 z) + 
  12/(a^3 z) + 12/(a z) + (5 a)/z - (6 z)/a^7 - (20 z)/a^5 - (27 z)/
  a^3 - (23 z)/a - 10 a z + 10 z^2 + (2 z^2)/a^8 + (2 z^2)/a^6 + (
  10 z^2)/a^2 + (12 z^3)/a^7 + (39 z^3)/a^5 + (35 z^3)/a^3 + (19 z^3)/
  a + 11 a z^3 - z^4 - (4 z^4)/a^8 + (23 z^4)/a^4 + (18 z^4)/a^2 - (
  10 z^5)/a^7 - (25 z^5)/a^5 - (12 z^5)/a^3 - (3 z^5)/a - 6 a z^5 - 
  4 z^6 + z^6/a^8 - (4 z^6)/a^6 - (18 z^6)/a^4 - (17 z^6)/a^2 + (
  2 z^7)/a^7 + (4 z^7)/a^5 - (3 z^7)/a^3 - (4 z^7)/a + a z^7 + z^8 + 
  z^8/a^6 + (3 z^8)/a^4 + (3 z^8)/a^2 + z^9/a^3 + z^9/a}

Is = Function /@ (Is /. {a -> #1, z-> #2})

MapThread[(Kauffman[#1] = #2)&, {KOs, Is}]

Clear[KOs, Is]

End[]; EndPackage[]