(* Disclaimer: As explained in 1507.abcde the preferable choice of                    *)
(* indecomposable eMZV at length 4 and weight 1 is w[{0, 0, 1, 0}]. In this set of    *)
(* rules, however, we have been using w[{0, 0, 0, 1}] instead, which can be           *)
(* replaced via                                                                       *)
(*                                                                                    *)
(* w[{0, 0, 0, 1}] ->  -1/3 ( w[{0, 0, 1, 0}] - w[{0, 1}]/2 )                         *)
(*                                                                                    *)
(* anytime. An analogous situation occurs at length 6 and weight 1.                   *)

(* weight 1 length 6 *)

{
w[{0, 0, 0, 0, 1, 0}] -> -w[{0, 1}]/24 + w[{0, 0, 0, 1}]/2 - 5*w[{0, 0, 0, 0, 0, 1}],
 w[{0, 0, 0, 1, 0, 0}] -> w[{0, 1}]/6 - (3*w[{0, 0, 0, 1}])/2 + 10*w[{0, 0, 0, 0, 0, 1}]
}

(* weight 2 length 6 *)

{
w[{0, 0, 0, 0, 0, 2}] -> -uZeta[2]/120 - w[{0, 0, 2}]/24 + w[{0, 0, 0, 0, 2}]/2,
 w[{0, 0, 0, 0, 1, 1}] -> uZeta[2]/30 - w[{0, 1}]^2/16 + w[{0, 0, 2}]/16 + (w[{0, 1}]*w[{0, 0, 0, 1}])/2 - w[{0, 0, 0, 0, 2}]/4,
 w[{0, 0, 0, 0, 2, 0}] -> uZeta[2]/24 + (5*w[{0, 0, 2}])/24 - (3*w[{0, 0, 0, 0, 2}])/2,
 w[{0, 0, 0, 1, 0, 1}] -> (-79*uZeta[2])/1440 + w[{0, 1}]^2/6 - w[{0, 0, 2}]/12 - w[{0, 1}]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 0, 2}]/4,
 w[{0, 0, 0, 1, 1, 0}] -> (11*uZeta[2])/480 + w[{0, 0, 0, 0, 2}]/4,
 w[{0, 0, 0, 2, 0, 0}] -> -uZeta[2]/24 - w[{0, 0, 2}]/6 + w[{0, 0, 0, 0, 2}],
 w[{0, 0, 1, 0, 0, 1}] -> (-17*uZeta[2])/480 - w[{0, 0, 2}]/8 + (3*w[{0, 0, 0, 0, 2}])/4,
 w[{0, 0, 1, 0, 1, 0}] -> (9*uZeta[2])/160 + w[{0, 0, 2}]/4 - (7*w[{0, 0, 0, 0, 2}])/4,
 w[{0, 0, 1, 1, 0, 0}] -> -uZeta[2]/48 - w[{0, 0, 2}]/8 + w[{0, 0, 0, 0, 2}],
 w[{0, 1, 0, 0, 0, 1}] -> (17*uZeta[2])/720 - w[{0, 1}]^2/6 + w[{0, 0, 2}]/12 + w[{0, 1}]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 0, 2}]/2,
 w[{0, 1, 0, 0, 1, 0}] -> (-17*uZeta[2])/240 - w[{0, 0, 2}]/4 + (3*w[{0, 0, 0, 0, 2}])/2,
 w[{1, 0, 0, 0, 0, 1}] -> w[{0, 1}]^2/8 - w[{0, 1}]*w[{0, 0, 0, 1}]
}

(* weight 3 length 6 *)

{
w[{0, 0, 0, 0, 2, 1}] -> (-7*uZeta[2]*w[{0, 1}])/180 - w[{0, 3}]/45 - (w[{0, 1}]*w[{0, 0, 2}])/6 + (uZeta[2]*w[{0, 0, 0, 1}])/3 + w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 3}]/3 + w[{0, 1}]*w[{0, 0, 0, 0, 2}] - 2*uZeta[2]*w[{0, 0, 0, 0, 0, 1}] - 3*w[{0, 0, 0, 0, 0, 3}],
 w[{0, 0, 0, 0, 3, 0}] -> -w[{0, 3}]/24 + w[{0, 0, 0, 3}]/2 - 5*w[{0, 0, 0, 0, 0, 3}],
 w[{0, 0, 0, 1, 0, 2}] -> uZeta[3]/24 - w[{0, 3}]/36 - w[{0, 0, 0, 3}]/12 + 3*w[{0, 0, 0, 0, 0, 3}] - 2*w[{0, 0, 0, 0, 1, 2}],
 w[{0, 0, 0, 1, 1, 1}] -> (7*uZeta[3])/72 + (3*uZeta[2]*w[{0, 1}])/16 - w[{0, 1}]^3/18 - (11*w[{0, 3}])/540 + (w[{0, 1}]*w[{0, 0, 2}])/12 - (11*uZeta[2]*w[{0, 0, 0, 1}])/12 + (w[{0, 1}]^2*w[{0, 0, 0, 1}])/2 + (w[{0, 0, 2}]*w[{0, 0, 0, 1}])/2 - w[{0, 0, 0, 3}]/36 - (w[{0, 1}]*w[{0, 0, 0, 0, 2}])/2 + 8*uZeta[2]*w[{0, 0, 0, 0, 0, 1}] + w[{0, 0, 0, 0, 0, 3}] - 2*w[{0, 0, 0, 0, 1, 2}],
 w[{0, 0, 0, 1, 2, 0}] -> uZeta[3]/12 + (uZeta[2]*w[{0, 1}])/6 - w[{0, 3}]/18 - uZeta[2]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 3}]/3 - 3*w[{0, 0, 0, 0, 0, 3}] - 2*w[{0, 0, 0, 0, 1, 2}],
 w[{0, 0, 0, 2, 0, 1}] -> (43*uZeta[2]*w[{0, 1}])/180 + w[{0, 3}]/20 + (2*w[{0, 1}]*w[{0, 0, 2}])/3 - (4*uZeta[2]*w[{0, 0, 0, 1}])/3 - w[{0, 0, 2}]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 3}]/2 - 4*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + 8*uZeta[2]*w[{0, 0, 0, 0, 0, 1}] + 3*w[{0, 0, 0, 0, 0, 3}] - w[{0, 0, 0, 0, 1, 2}],
 w[{0, 0, 0, 2, 1, 0}] -> (uZeta[2]*w[{0, 1}])/6 + (59*w[{0, 3}])/360 + (w[{0, 1}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 0, 0, 1}] - 3*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (4*w[{0, 0, 0, 3}])/3 + 9*w[{0, 0, 0, 0, 0, 3}] + w[{0, 0, 0, 0, 1, 2}],
 w[{0, 0, 0, 3, 0, 0}] -> w[{0, 3}]/6 - (3*w[{0, 0, 0, 3}])/2 + 10*w[{0, 0, 0, 0, 0, 3}],
 w[{0, 0, 1, 0, 0, 2}] -> -uZeta[3]/12 + (19*w[{0, 3}])/360 + (w[{0, 1}]*w[{0, 0, 2}])/2 - 3*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 3}]/6 - w[{0, 0, 0, 0, 0, 3}] + 2*w[{0, 0, 0, 0, 1, 2}],
 w[{0, 0, 1, 0, 1, 1}] -> -uZeta[3]/3 - (287*uZeta[2]*w[{0, 1}])/720 + w[{0, 1}]^3/4 + w[{0, 3}]/12 + (w[{0, 1}]*w[{0, 0, 2}])/6 + (29*uZeta[2]*w[{0, 0, 0, 1}])/12 - (3*w[{0, 1}]^2*w[{0, 0, 0, 1}])/2 - (5*w[{0, 0, 2}]*w[{0, 0, 0, 1}])/2 + (w[{0, 1}]*w[{0, 0, 0, 0, 2}])/2 - 22*uZeta[2]*w[{0, 0, 0, 0, 0, 1}] - 3*w[{0, 0, 0, 0, 0, 3}] + 7*w[{0, 0, 0, 0, 1, 2}],
 w[{0, 0, 1, 0, 2, 0}] -> -uZeta[3]/12 - (uZeta[2]*w[{0, 1}])/2 - (53*w[{0, 3}])/360 - w[{0, 1}]*w[{0, 0, 2}] + 3*uZeta[2]*w[{0, 0, 0, 1}] + 6*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (4*w[{0, 0, 0, 3}])/3 - 7*w[{0, 0, 0, 0, 0, 3}] + 2*w[{0, 0, 0, 0, 1, 2}],
 w[{0, 0, 1, 1, 0, 1}] -> (11*uZeta[3])/24 + (2*uZeta[2]*w[{0, 1}])/45 - (47*w[{0, 3}])/360 - (2*w[{0, 1}]*w[{0, 0, 2}])/3 + (uZeta[2]*w[{0, 0, 0, 1}])/3 + 4*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 3}]/12 + w[{0, 1}]*w[{0, 0, 0, 0, 2}] - 2*uZeta[2]*w[{0, 0, 0, 0, 0, 1}] + 4*w[{0, 0, 0, 0, 0, 3}] - 10*w[{0, 0, 0, 0, 1, 2}],
 w[{0, 0, 1, 1, 1, 0}] -> (-3*uZeta[3])/8 - (uZeta[2]*w[{0, 1}])/3 + (11*w[{0, 3}])/90 + (w[{0, 1}]*w[{0, 0, 2}])/2 + 2*uZeta[2]*w[{0, 0, 0, 1}] - 3*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 3}]/12 - 4*w[{0, 0, 0, 0, 0, 3}] + 9*w[{0, 0, 0, 0, 1, 2}],
 w[{0, 0, 1, 2, 0, 0}] -> -uZeta[3]/12 + (79*w[{0, 3}])/360 + (w[{0, 1}]*w[{0, 0, 2}])/2 - 3*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (5*w[{0, 0, 0, 3}])/3 + 8*w[{0, 0, 0, 0, 0, 3}] + 2*w[{0, 0, 0, 0, 1, 2}],
 w[{0, 0, 2, 0, 0, 1}] -> -uZeta[3]/24 - (29*uZeta[2]*w[{0, 1}])/60 + w[{0, 3}]/72 - w[{0, 1}]*w[{0, 0, 2}] + 2*uZeta[2]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 3}]/12 + 6*w[{0, 1}]*w[{0, 0, 0, 0, 2}] - 12*uZeta[2]*w[{0, 0, 0, 0, 0, 1}] + w[{0, 0, 0, 0, 0, 3}] + w[{0, 0, 0, 0, 1, 2}],
 w[{0, 0, 2, 0, 1, 0}] -> -uZeta[3]/24 - (uZeta[2]*w[{0, 1}])/3 - (49*w[{0, 3}])/360 - (w[{0, 1}]*w[{0, 0, 2}])/2 + 2*uZeta[2]*w[{0, 0, 0, 1}] + 3*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (17*w[{0, 0, 0, 3}])/12 - 11*w[{0, 0, 0, 0, 0, 3}] + w[{0, 0, 0, 0, 1, 2}],
 w[{0, 1, 0, 0, 0, 2}] -> uZeta[3]/24 + w[{0, 3}]/60 - (w[{0, 1}]*w[{0, 0, 2}])/2 + 3*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 3}]/4 + 2*w[{0, 0, 0, 0, 0, 3}] - w[{0, 0, 0, 0, 1, 2}],
 w[{0, 1, 0, 0, 1, 1}] -> (17*uZeta[2]*w[{0, 1}])/240 - w[{0, 1}]^3/4 - (7*w[{0, 3}])/360 - (w[{0, 1}]*w[{0, 0, 2}])/2 - (7*uZeta[2]*w[{0, 0, 0, 1}])/4 + (3*w[{0, 1}]^2*w[{0, 0, 0, 1}])/2 + (3*w[{0, 0, 2}]*w[{0, 0, 0, 1}])/2 + w[{0, 0, 0, 3}]/6 + (3*w[{0, 1}]*w[{0, 0, 0, 0, 2}])/2 + 18*uZeta[2]*w[{0, 0, 0, 0, 0, 1}] - w[{0, 0, 0, 0, 0, 3}],
 w[{0, 1, 0, 0, 2, 0}] -> uZeta[3]/24 + (uZeta[2]*w[{0, 1}])/3 - (13*w[{0, 3}])/180 + (w[{0, 1}]*w[{0, 0, 2}])/2 - 2*uZeta[2]*w[{0, 0, 0, 1}] - 3*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (7*w[{0, 0, 0, 3}])/12 - 4*w[{0, 0, 0, 0, 0, 3}] - w[{0, 0, 0, 0, 1, 2}],
 w[{0, 1, 0, 1, 0, 1}] -> -uZeta[3]/6 + (43*uZeta[2]*w[{0, 1}])/180 + (4*w[{0, 3}])/45 + (7*w[{0, 1}]*w[{0, 0, 2}])/6 - (4*uZeta[2]*w[{0, 0, 0, 1}])/3 - 4*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 3}]/3 - 4*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + 8*uZeta[2]*w[{0, 0, 0, 0, 0, 1}] + 4*w[{0, 0, 0, 0, 1, 2}],
 w[{0, 1, 0, 1, 1, 0}] -> (17*uZeta[3])/24 + uZeta[2]*w[{0, 1}] - (31*w[{0, 3}])/120 - w[{0, 1}]*w[{0, 0, 2}] - 6*uZeta[2]*w[{0, 0, 0, 1}] + 6*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 3}]/4 + 8*w[{0, 0, 0, 0, 0, 3}] - 18*w[{0, 0, 0, 0, 1, 2}],
 w[{0, 1, 1, 0, 0, 1}] -> uZeta[3]/24 + (2*uZeta[2]*w[{0, 1}])/45 - w[{0, 3}]/45 - (w[{0, 1}]*w[{0, 0, 2}])/6 + (uZeta[2]*w[{0, 0, 0, 1}])/3 + w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 3}]/12 + w[{0, 1}]*w[{0, 0, 0, 0, 2}] - 2*uZeta[2]*w[{0, 0, 0, 0, 0, 1}] - w[{0, 0, 0, 0, 1, 2}],
 w[{0, 2, 0, 0, 0, 1}] -> uZeta[3]/24 + (73*uZeta[2]*w[{0, 1}])/180 - (11*w[{0, 3}])/180 + (2*w[{0, 1}]*w[{0, 0, 2}])/3 - (7*uZeta[2]*w[{0, 0, 0, 1}])/3 - w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (5*w[{0, 0, 0, 3}])/12 - 4*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + 8*uZeta[2]*w[{0, 0, 0, 0, 0, 1}] - 2*w[{0, 0, 0, 0, 0, 3}] - w[{0, 0, 0, 0, 1, 2}],
 w[{1, 0, 0, 0, 0, 2}] -> (7*uZeta[2]*w[{0, 1}])/180 - (7*w[{0, 3}])/360 + (w[{0, 1}]*w[{0, 0, 2}])/6 - (uZeta[2]*w[{0, 0, 0, 1}])/3 - w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 3}]/6 - w[{0, 1}]*w[{0, 0, 0, 0, 2}] + 2*uZeta[2]*w[{0, 0, 0, 0, 0, 1}] - w[{0, 0, 0, 0, 0, 3}],
 w[{1, 0, 0, 0, 1, 1}] -> uZeta[3]/24 - (169*uZeta[2]*w[{0, 1}])/720 + w[{0, 1}]^3/6 - w[{0, 3}]/360 + (w[{0, 1}]*w[{0, 0, 2}])/12 + (25*uZeta[2]*w[{0, 0, 0, 1}])/12 - (3*w[{0, 1}]^2*w[{0, 0, 0, 1}])/2 - (w[{0, 0, 2}]*w[{0, 0, 0, 1}])/2 - w[{0, 0, 0, 3}]/12 - (w[{0, 1}]*w[{0, 0, 0, 0, 2}])/2 - 20*uZeta[2]*w[{0, 0, 0, 0, 0, 1}] + w[{0, 0, 0, 0, 0, 3}] - w[{0, 0, 0, 0, 1, 2}],
 w[{1, 0, 0, 1, 0, 1}] -> -uZeta[3]/12 + (169*uZeta[2]*w[{0, 1}])/360 - w[{0, 1}]^3/2 + w[{0, 3}]/180 - (w[{0, 1}]*w[{0, 0, 2}])/6 - (25*uZeta[2]*w[{0, 0, 0, 1}])/6 + 3*w[{0, 1}]^2*w[{0, 0, 0, 1}] + w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 3}]/6 + w[{0, 1}]*w[{0, 0, 0, 0, 2}] + 40*uZeta[2]*w[{0, 0, 0, 0, 0, 1}] - 2*w[{0, 0, 0, 0, 0, 3}] + 2*w[{0, 0, 0, 0, 1, 2}]
}

(* weight 4 length 6 *)

{
w[{0, 0, 0, 0, 0, 4}] -> -uZeta[4]/120 - w[{0, 0, 4}]/24 + w[{0, 0, 0, 0, 4}]/2,
 w[{0, 0, 0, 0, 1, 3}] -> -uZeta[4]/480 - w[{0, 0, 2}]^2/8 - (5*w[{0, 0, 4}])/48 + (9*w[{0, 0, 0, 0, 4}])/8 + w[{0, 0, 0, 2, 2}]/4,
 w[{0, 0, 0, 0, 2, 2}] -> (7*uZeta[4])/48 + (uZeta[2]*w[{0, 0, 2}])/4 + w[{0, 0, 4}]/48 - uZeta[2]*w[{0, 0, 0, 0, 2}] + w[{0, 0, 0, 2, 2}]/2,
 w[{0, 0, 0, 0, 3, 1}] -> (19*uZeta[4])/120 - (w[{0, 1}]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 0, 2}])/4 + w[{0, 0, 2}]^2/4 + (13*w[{0, 0, 4}])/48 + (w[{0, 3}]*w[{0, 0, 0, 1}])/2 + (w[{0, 1}]*w[{0, 0, 0, 3}])/2 - uZeta[2]*w[{0, 0, 0, 0, 2}] - (7*w[{0, 0, 0, 0, 4}])/4,
 w[{0, 0, 0, 0, 4, 0}] -> uZeta[4]/24 + (5*w[{0, 0, 4}])/24 - (3*w[{0, 0, 0, 0, 4}])/2,
 w[{0, 0, 0, 1, 0, 3}] -> (-31*uZeta[4])/720 + (w[{0, 1}]*w[{0, 3}])/6 - (uZeta[2]*w[{0, 0, 2}])/12 - w[{0, 0, 2}]^2/4 - w[{0, 0, 4}]/6 - w[{0, 3}]*w[{0, 0, 0, 1}] + (3*w[{0, 0, 0, 0, 4}])/4,
 w[{0, 0, 0, 1, 1, 2}] -> (-167*uZeta[4])/720 - (w[{0, 1}]*w[{0, 3}])/6 - (uZeta[2]*w[{0, 0, 2}])/6 + (5*w[{0, 0, 2}]^2)/8 + (5*w[{0, 0, 4}])/48 + w[{0, 3}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 0, 0, 0, 2}])/2 - (13*w[{0, 0, 0, 0, 4}])/8 - (7*w[{0, 0, 0, 2, 2}])/4,
 w[{0, 0, 0, 1, 2, 1}] -> (71*uZeta[4])/240 + (uZeta[3]*w[{0, 1}])/8 + (uZeta[2]*w[{0, 1}]^2)/6 + (w[{0, 1}]*w[{0, 3}])/6 + (uZeta[2]*w[{0, 0, 2}])/3 + (3*w[{0, 0, 2}]^2)/8 + w[{0, 0, 4}]/6 - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] - (3*w[{0, 3}]*w[{0, 0, 0, 1}])/2 + (w[{0, 1}]*w[{0, 0, 0, 3}])/4 - (uZeta[2]*w[{0, 0, 0, 0, 2}])/2 - (3*w[{0, 0, 0, 0, 4}])/8 + (3*w[{0, 0, 0, 2, 2}])/4,
 w[{0, 0, 0, 1, 3, 0}] -> (4*uZeta[4])/45 - (w[{0, 1}]*w[{0, 3}])/6 + (uZeta[2]*w[{0, 0, 2}])/12 + w[{0, 0, 2}]^2/2 + w[{0, 0, 4}]/2 + w[{0, 3}]*w[{0, 0, 0, 1}] - 3*w[{0, 0, 0, 0, 4}] - w[{0, 0, 0, 2, 2}]/2,
 w[{0, 0, 0, 2, 0, 2}] -> (-109*uZeta[4])/240 - (3*uZeta[2]*w[{0, 0, 2}])/4 + w[{0, 0, 2}]^2/4 - w[{0, 0, 4}]/12 + 4*uZeta[2]*w[{0, 0, 0, 0, 2}] + w[{0, 0, 0, 0, 4}]/4 - w[{0, 0, 0, 2, 2}],
 w[{0, 0, 0, 2, 1, 1}] -> (-163*uZeta[4])/360 + (5*uZeta[2]*w[{0, 1}]^2)/24 + (w[{0, 1}]*w[{0, 3}])/24 - (2*uZeta[2]*w[{0, 0, 2}])/3 + (w[{0, 1}]^2*w[{0, 0, 2}])/4 + w[{0, 0, 2}]^2/4 - w[{0, 0, 4}]/48 - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 1}])/2 - (w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (9*uZeta[2]*w[{0, 0, 0, 0, 2}])/2 - w[{0, 0, 0, 0, 4}]/2 - w[{0, 0, 0, 2, 2}],
 w[{0, 0, 0, 2, 2, 0}] -> (-31*uZeta[4])/240 - (uZeta[2]*w[{0, 0, 2}])/4 - w[{0, 0, 2}]^2/4 - w[{0, 0, 0, 0, 4}]/4,
 w[{0, 0, 0, 3, 0, 1}] -> (-25*uZeta[4])/72 + (w[{0, 1}]*w[{0, 3}])/6 - (7*uZeta[2]*w[{0, 0, 2}])/12 - w[{0, 0, 4}]/12 - w[{0, 1}]*w[{0, 0, 0, 3}] + 3*uZeta[2]*w[{0, 0, 0, 0, 2}] - w[{0, 0, 0, 2, 2}]/2,
 w[{0, 0, 0, 3, 1, 0}] -> (-11*uZeta[4])/90 + (w[{0, 1}]*w[{0, 3}])/6 - (uZeta[2]*w[{0, 0, 2}])/12 - w[{0, 0, 2}]^2/2 - w[{0, 0, 4}]/2 - w[{0, 3}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 0, 0, 0, 2}] + (7*w[{0, 0, 0, 0, 4}])/2 + w[{0, 0, 0, 2, 2}]/2,
 w[{0, 0, 0, 4, 0, 0}] -> -uZeta[4]/24 - w[{0, 0, 4}]/6 + w[{0, 0, 0, 0, 4}],
 w[{0, 0, 1, 0, 0, 3}] -> (-17*uZeta[4])/480 + w[{0, 0, 2}]^2/8 - w[{0, 0, 4}]/12 + (3*w[{0, 0, 0, 0, 4}])/8 - w[{0, 0, 0, 2, 2}]/4,
 w[{0, 0, 1, 0, 1, 2}] -> (59*uZeta[4])/480 - (7*w[{0, 0, 2}]^2)/4 - (11*w[{0, 0, 4}])/24 - (uZeta[2]*w[{0, 0, 0, 0, 2}])/2 + (17*w[{0, 0, 0, 0, 4}])/4 + 3*w[{0, 0, 0, 2, 2}],
 w[{0, 0, 1, 0, 2, 1}] -> (131*uZeta[4])/480 - (uZeta[3]*w[{0, 1}])/8 - (uZeta[2]*w[{0, 1}]^2)/2 - (w[{0, 1}]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 0, 2}])/4 - (3*w[{0, 0, 2}]^2)/4 + 3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + (3*w[{0, 1}]*w[{0, 0, 0, 3}])/4 - (3*uZeta[2]*w[{0, 0, 0, 0, 2}])/2 + (3*w[{0, 0, 0, 0, 4}])/4 + (3*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 0, 1, 0, 3, 0}] -> (9*uZeta[4])/40 + (uZeta[2]*w[{0, 0, 2}])/4 + w[{0, 0, 4}]/4 - (3*w[{0, 0, 0, 0, 4}])/2 + w[{0, 0, 0, 2, 2}]/2,
 w[{0, 0, 1, 1, 0, 2}] -> (-3*uZeta[4])/160 + (uZeta[2]*w[{0, 0, 2}])/4 + (11*w[{0, 0, 2}]^2)/8 + (5*w[{0, 0, 4}])/24 - uZeta[2]*w[{0, 0, 0, 0, 2}] - (19*w[{0, 0, 0, 0, 4}])/8 - (9*w[{0, 0, 0, 2, 2}])/4,
 w[{0, 0, 1, 1, 1, 1}] -> (343*uZeta[4])/1152 + (uZeta[3]*w[{0, 1}])/24 - (11*uZeta[2]*w[{0, 1}]^2)/48 + w[{0, 1}]^4/48 + (w[{0, 1}]*w[{0, 3}])/72 + (13*uZeta[2]*w[{0, 0, 2}])/48 + (w[{0, 1}]^2*w[{0, 0, 2}])/8 + (5*w[{0, 0, 2}]^2)/16 + w[{0, 0, 4}]/16 + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] - (w[{0, 1}]*w[{0, 0, 0, 3}])/12 - uZeta[2]*w[{0, 0, 0, 0, 2}] - (5*w[{0, 0, 0, 0, 4}])/8 - w[{0, 0, 0, 2, 2}]/2,
 w[{0, 0, 1, 1, 2, 0}] -> (49*uZeta[4])/240 + (uZeta[2]*w[{0, 0, 2}])/4 - w[{0, 0, 2}]^2/4 + (5*w[{0, 0, 4}])/48 - w[{0, 0, 0, 0, 4}]/4 + w[{0, 0, 0, 2, 2}],
 w[{0, 0, 1, 2, 0, 1}] -> (-433*uZeta[4])/1440 + (5*w[{0, 1}]*w[{0, 3}])/24 - (5*uZeta[2]*w[{0, 0, 2}])/12 + w[{0, 0, 2}]^2 + w[{0, 0, 4}]/6 - (w[{0, 3}]*w[{0, 0, 0, 1}])/2 - w[{0, 1}]*w[{0, 0, 0, 3}] + (5*uZeta[2]*w[{0, 0, 0, 0, 2}])/2 - 2*w[{0, 0, 0, 0, 4}] - 2*w[{0, 0, 0, 2, 2}],
 w[{0, 0, 1, 2, 1, 0}] -> (-323*uZeta[4])/720 - (w[{0, 1}]*w[{0, 3}])/6 - (2*uZeta[2]*w[{0, 0, 2}])/3 - (5*w[{0, 0, 2}]^2)/8 - w[{0, 0, 4}]/4 + w[{0, 3}]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 0, 0, 0, 2}])/2 + (13*w[{0, 0, 0, 0, 4}])/8 - w[{0, 0, 0, 2, 2}]/4,
 w[{0, 0, 1, 3, 0, 0}] -> (-91*uZeta[4])/480 - (uZeta[2]*w[{0, 0, 2}])/4 - w[{0, 0, 2}]^2/8 - w[{0, 0, 4}]/6 + (9*w[{0, 0, 0, 0, 4}])/8 - w[{0, 0, 0, 2, 2}]/4,
 w[{0, 0, 2, 0, 0, 2}] -> (39*uZeta[4])/80 + (3*uZeta[2]*w[{0, 0, 2}])/4 - w[{0, 0, 2}]^2/4 + w[{0, 0, 4}]/8 - 6*uZeta[2]*w[{0, 0, 0, 0, 2}] - (3*w[{0, 0, 0, 0, 4}])/4,
 w[{0, 0, 2, 0, 1, 1}] -> (63*uZeta[4])/160 - (uZeta[3]*w[{0, 1}])/8 - (11*uZeta[2]*w[{0, 1}]^2)/24 + (w[{0, 1}]*w[{0, 3}])/24 + (3*uZeta[2]*w[{0, 0, 2}])/4 - (w[{0, 1}]^2*w[{0, 0, 2}])/4 - (9*w[{0, 0, 2}]^2)/8 - w[{0, 0, 4}]/4 + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] - (w[{0, 1}]*w[{0, 0, 0, 3}])/4 - (13*uZeta[2]*w[{0, 0, 0, 0, 2}])/2 + (19*w[{0, 0, 0, 0, 4}])/8 + (7*w[{0, 0, 0, 2, 2}])/4,
 w[{0, 0, 2, 0, 2, 0}] -> (23*uZeta[4])/48 + (3*uZeta[2]*w[{0, 0, 2}])/4 + w[{0, 0, 2}]^2/4 - w[{0, 0, 4}]/12 + (5*w[{0, 0, 0, 0, 4}])/4 + w[{0, 0, 0, 2, 2}],
 w[{0, 0, 2, 1, 0, 1}] -> (229*uZeta[4])/1440 + (uZeta[3]*w[{0, 1}])/8 + (uZeta[2]*w[{0, 1}]^2)/6 - (w[{0, 1}]*w[{0, 3}])/6 + (uZeta[2]*w[{0, 0, 2}])/4 + (5*w[{0, 0, 2}]^2)/4 + w[{0, 0, 4}]/4 - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 1}])/2 + (3*w[{0, 1}]*w[{0, 0, 0, 3}])/4 - (5*uZeta[2]*w[{0, 0, 0, 0, 2}])/2 - (11*w[{0, 0, 0, 0, 4}])/4 - (5*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 0, 2, 1, 1, 0}] -> (-7*uZeta[4])/720 + (w[{0, 1}]*w[{0, 3}])/6 - (uZeta[2]*w[{0, 0, 2}])/12 - (3*w[{0, 0, 2}]^2)/8 - w[{0, 0, 4}]/48 - w[{0, 3}]*w[{0, 0, 0, 1}] + (9*uZeta[2]*w[{0, 0, 0, 0, 2}])/2 + (7*w[{0, 0, 0, 0, 4}])/8 + (7*w[{0, 0, 0, 2, 2}])/4,
 w[{0, 0, 2, 2, 0, 0}] -> (-41*uZeta[4])/120 - (uZeta[2]*w[{0, 0, 2}])/2 - w[{0, 0, 4}]/24 - w[{0, 0, 0, 0, 4}]/2 - w[{0, 0, 0, 2, 2}],
 w[{0, 0, 3, 0, 0, 1}] -> (43*uZeta[4])/160 + (uZeta[2]*w[{0, 0, 2}])/2 - w[{0, 0, 2}]^2/8 - w[{0, 0, 4}]/6 - 3*uZeta[2]*w[{0, 0, 0, 0, 2}] + (9*w[{0, 0, 0, 0, 4}])/8 + w[{0, 0, 0, 2, 2}]/4,
 w[{0, 0, 3, 0, 1, 0}] -> (-19*uZeta[4])/240 - (uZeta[2]*w[{0, 0, 2}])/4 + w[{0, 0, 2}]^2/4 + w[{0, 0, 4}]/3 + 3*uZeta[2]*w[{0, 0, 0, 0, 2}] - (9*w[{0, 0, 0, 0, 4}])/4,
 w[{0, 1, 0, 0, 0, 3}] -> (-7*uZeta[4])/90 - (w[{0, 1}]*w[{0, 3}])/6 - (uZeta[2]*w[{0, 0, 2}])/6 + w[{0, 0, 4}]/12 + w[{0, 3}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 0, 0, 0, 2}] - w[{0, 0, 0, 0, 4}]/2,
 w[{0, 1, 0, 0, 1, 2}] -> (47*uZeta[4])/288 + (w[{0, 1}]*w[{0, 3}])/6 + (uZeta[2]*w[{0, 0, 2}])/6 + w[{0, 0, 2}]^2/8 + w[{0, 0, 4}]/12 - w[{0, 3}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 0, 0, 0, 2}] - (5*w[{0, 0, 0, 0, 4}])/8 - w[{0, 0, 0, 2, 2}]/4,
 w[{0, 1, 0, 0, 2, 1}] -> (97*uZeta[4])/288 + (uZeta[2]*w[{0, 1}]^2)/3 - (w[{0, 1}]*w[{0, 3}])/12 + (3*uZeta[2]*w[{0, 0, 2}])/4 - w[{0, 0, 2}]^2/8 - w[{0, 0, 4}]/8 - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + w[{0, 3}]*w[{0, 0, 0, 1}] - (w[{0, 1}]*w[{0, 0, 0, 3}])/2 - 7*uZeta[2]*w[{0, 0, 0, 0, 2}] + (5*w[{0, 0, 0, 0, 4}])/8 - w[{0, 0, 0, 2, 2}]/4,
 w[{0, 1, 0, 0, 3, 0}] -> (7*uZeta[4])/30 + (uZeta[2]*w[{0, 0, 2}])/2 - w[{0, 0, 4}]/4 - 3*uZeta[2]*w[{0, 0, 0, 0, 2}] + (3*w[{0, 0, 0, 0, 4}])/2,
 w[{0, 1, 0, 1, 0, 2}] -> (-257*uZeta[4])/480 - uZeta[2]*w[{0, 0, 2}] - w[{0, 0, 2}]^2/4 + w[{0, 0, 4}]/24 + (11*uZeta[2]*w[{0, 0, 0, 0, 2}])/2 - w[{0, 0, 0, 0, 4}]/4,
 w[{0, 1, 0, 1, 1, 1}] -> (-343*uZeta[4])/288 - (uZeta[3]*w[{0, 1}])/8 + (19*uZeta[2]*w[{0, 1}]^2)/24 - (w[{0, 1}]*w[{0, 3}])/24 - (13*uZeta[2]*w[{0, 0, 2}])/12 - (w[{0, 1}]^2*w[{0, 0, 2}])/4 - (5*w[{0, 0, 2}]^2)/4 - w[{0, 0, 4}]/4 - 6*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + (w[{0, 1}]*w[{0, 0, 0, 3}])/4 + 4*uZeta[2]*w[{0, 0, 0, 0, 2}] + (5*w[{0, 0, 0, 0, 4}])/2 + 2*w[{0, 0, 0, 2, 2}],
 w[{0, 1, 0, 1, 2, 0}] -> (511*uZeta[4])/1440 + (w[{0, 1}]*w[{0, 3}])/6 + (2*uZeta[2]*w[{0, 0, 2}])/3 - (5*w[{0, 0, 4}])/24 - w[{0, 3}]*w[{0, 0, 0, 1}] - (5*uZeta[2]*w[{0, 0, 0, 0, 2}])/2 + (3*w[{0, 0, 0, 0, 4}])/2 + w[{0, 0, 0, 2, 2}]/2,
 w[{0, 1, 0, 2, 0, 1}] -> (-31*uZeta[4])/48 + (uZeta[2]*w[{0, 1}]^2)/3 - (w[{0, 1}]*w[{0, 3}])/6 - (4*uZeta[2]*w[{0, 0, 2}])/3 + w[{0, 0, 4}]/12 - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + w[{0, 1}]*w[{0, 0, 0, 3}] + 13*uZeta[2]*w[{0, 0, 0, 0, 2}] + w[{0, 0, 0, 2, 2}],
 w[{0, 1, 0, 2, 1, 0}] -> -uZeta[4]/36 - (w[{0, 1}]*w[{0, 3}])/6 - (uZeta[2]*w[{0, 0, 2}])/6 + w[{0, 0, 2}]^2/4 + w[{0, 0, 4}]/6 + w[{0, 3}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 0, 0, 0, 2}] - (5*w[{0, 0, 0, 0, 4}])/4 - w[{0, 0, 0, 2, 2}]/2,
 w[{0, 1, 1, 0, 0, 2}] -> (13*uZeta[4])/240 + (uZeta[2]*w[{0, 0, 2}])/4 + (3*w[{0, 0, 2}]^2)/8 + (3*uZeta[2]*w[{0, 0, 0, 0, 2}])/2 + w[{0, 0, 0, 0, 4}]/8 + w[{0, 0, 0, 2, 2}]/4,
 w[{0, 1, 1, 0, 1, 1}] -> (577*uZeta[4])/288 + (uZeta[3]*w[{0, 1}])/8 - (19*uZeta[2]*w[{0, 1}]^2)/24 + (w[{0, 1}]*w[{0, 3}])/24 + (11*uZeta[2]*w[{0, 0, 2}])/6 + (w[{0, 1}]^2*w[{0, 0, 2}])/4 + 2*w[{0, 0, 2}]^2 + (3*w[{0, 0, 4}])/8 + 6*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] - (w[{0, 1}]*w[{0, 0, 0, 3}])/4 - 6*uZeta[2]*w[{0, 0, 0, 0, 2}] - (15*w[{0, 0, 0, 0, 4}])/4 - 3*w[{0, 0, 0, 2, 2}],
 w[{0, 1, 1, 0, 2, 0}] -> (-19*uZeta[4])/96 - w[{0, 0, 2}]^2/2 - w[{0, 0, 4}]/24 - (13*uZeta[2]*w[{0, 0, 0, 0, 2}])/2 - w[{0, 0, 0, 2, 2}]/2,
 w[{0, 1, 1, 1, 0, 1}] -> (-13*uZeta[4])/8 - (3*uZeta[2]*w[{0, 0, 2}])/2 - (3*w[{0, 0, 2}]^2)/2 - w[{0, 0, 4}]/4 + 4*uZeta[2]*w[{0, 0, 0, 0, 2}] + (5*w[{0, 0, 0, 0, 4}])/2 + 2*w[{0, 0, 0, 2, 2}],
 w[{0, 1, 1, 1, 1, 0}] -> (13*uZeta[4])/16 + (3*uZeta[2]*w[{0, 0, 2}])/4 + (3*w[{0, 0, 2}]^2)/4 + w[{0, 0, 4}]/8 - 2*uZeta[2]*w[{0, 0, 0, 0, 2}] - (5*w[{0, 0, 0, 0, 4}])/4 - w[{0, 0, 0, 2, 2}],
 w[{0, 1, 2, 0, 0, 1}] -> (97*uZeta[4])/288 - (uZeta[3]*w[{0, 1}])/8 - (uZeta[2]*w[{0, 1}]^2)/6 + (w[{0, 1}]*w[{0, 3}])/6 + (3*uZeta[2]*w[{0, 0, 2}])/4 - w[{0, 0, 2}]^2/8 - w[{0, 0, 4}]/8 + uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] - (w[{0, 3}]*w[{0, 0, 0, 1}])/2 - (3*w[{0, 1}]*w[{0, 0, 0, 3}])/4 - 7*uZeta[2]*w[{0, 0, 0, 0, 2}] + (5*w[{0, 0, 0, 0, 4}])/8 - w[{0, 0, 0, 2, 2}]/4,
 w[{0, 2, 0, 0, 0, 2}] -> (-8*uZeta[4])/15 - uZeta[2]*w[{0, 0, 2}] - w[{0, 0, 2}]^2/2 - w[{0, 0, 4}]/12 + 4*uZeta[2]*w[{0, 0, 0, 0, 2}] + w[{0, 0, 0, 0, 4}]/2,
 w[{0, 2, 0, 0, 1, 1}] -> (-83*uZeta[4])/160 + (uZeta[2]*w[{0, 1}]^2)/24 - (w[{0, 1}]*w[{0, 3}])/12 - (3*uZeta[2]*w[{0, 0, 2}])/4 - (w[{0, 1}]^2*w[{0, 0, 2}])/4 - (3*w[{0, 0, 2}]^2)/8 - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + (w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (5*uZeta[2]*w[{0, 0, 0, 0, 2}])/2 + w[{0, 0, 0, 0, 4}]/8 + w[{0, 0, 0, 2, 2}]/4,
 w[{0, 2, 0, 0, 2, 0}] -> (7*uZeta[4])/20 + (uZeta[2]*w[{0, 0, 2}])/2 + w[{0, 0, 2}]^2/2 + w[{0, 0, 4}]/4 - (3*w[{0, 0, 0, 0, 4}])/2,
 w[{0, 2, 0, 1, 0, 1}] -> (343*uZeta[4])/480 - (uZeta[2]*w[{0, 1}]^2)/3 + (w[{0, 1}]*w[{0, 3}])/6 + (5*uZeta[2]*w[{0, 0, 2}])/6 + (3*w[{0, 0, 2}]^2)/4 + w[{0, 0, 4}]/24 + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] - w[{0, 1}]*w[{0, 0, 0, 3}] + (3*uZeta[2]*w[{0, 0, 0, 0, 2}])/2 - w[{0, 0, 0, 0, 4}]/4,
 w[{0, 2, 1, 0, 0, 1}] -> -uZeta[4]/72 - (5*w[{0, 1}]*w[{0, 3}])/24 - (uZeta[2]*w[{0, 0, 2}])/12 + w[{0, 0, 2}]^2/8 + w[{0, 0, 4}]/12 + (w[{0, 3}]*w[{0, 0, 0, 1}])/2 + w[{0, 1}]*w[{0, 0, 0, 3}] + (uZeta[2]*w[{0, 0, 0, 0, 2}])/2 - (5*w[{0, 0, 0, 0, 4}])/8 - w[{0, 0, 0, 2, 2}]/4,
 w[{0, 3, 0, 0, 0, 1}] -> (-7*uZeta[4])/90 - (w[{0, 1}]*w[{0, 3}])/6 - (uZeta[2]*w[{0, 0, 2}])/6 + w[{0, 0, 4}]/12 + w[{0, 1}]*w[{0, 0, 0, 3}] + uZeta[2]*w[{0, 0, 0, 0, 2}] - w[{0, 0, 0, 0, 4}]/2,
 w[{1, 0, 0, 0, 0, 3}] -> (w[{0, 1}]*w[{0, 3}])/8 - (w[{0, 3}]*w[{0, 0, 0, 1}])/2 - (w[{0, 1}]*w[{0, 0, 0, 3}])/2,
 w[{1, 0, 0, 0, 1, 2}] -> (-17*uZeta[4])/144 - (uZeta[3]*w[{0, 1}])/8 - (uZeta[2]*w[{0, 1}]^2)/6 - (uZeta[2]*w[{0, 0, 2}])/6 + uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 1}])/2 - (w[{0, 1}]*w[{0, 0, 0, 3}])/4 + uZeta[2]*w[{0, 0, 0, 0, 2}],
 w[{1, 0, 0, 0, 2, 1}] -> (-5*uZeta[2]*w[{0, 1}]^2)/12 - (w[{0, 1}]*w[{0, 3}])/24 - (w[{0, 1}]^2*w[{0, 0, 2}])/2 + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] - (w[{0, 3}]*w[{0, 0, 0, 1}])/2 + (w[{0, 1}]*w[{0, 0, 0, 3}])/2,
 w[{1, 0, 0, 1, 0, 2}] -> (17*uZeta[4])/96 + (uZeta[3]*w[{0, 1}])/8 + (uZeta[2]*w[{0, 1}]^2)/2 + (w[{0, 1}]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 0, 2}])/4 - 3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] - (3*w[{0, 1}]*w[{0, 0, 0, 3}])/4 - (3*uZeta[2]*w[{0, 0, 0, 0, 2}])/2,
 w[{1, 0, 0, 1, 1, 1}] -> -(uZeta[3]*w[{0, 1}])/24 + (uZeta[2]*w[{0, 1}]^2)/8 - w[{0, 1}]^4/12 - (w[{0, 1}]*w[{0, 3}])/72 - (w[{0, 1}]^2*w[{0, 0, 2}])/4 - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + (w[{0, 1}]*w[{0, 0, 0, 3}])/12,
 w[{1, 0, 0, 2, 0, 1}] -> (uZeta[3]*w[{0, 1}])/8 + (5*uZeta[2]*w[{0, 1}]^2)/12 + (w[{0, 1}]*w[{0, 3}])/24 + (w[{0, 1}]^2*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] - (w[{0, 1}]*w[{0, 0, 0, 3}])/4,
 w[{1, 0, 1, 0, 0, 2}] -> (-7*uZeta[4])/96 - (uZeta[2]*w[{0, 1}]^2)/3 - (w[{0, 1}]*w[{0, 3}])/12 - (5*uZeta[2]*w[{0, 0, 2}])/12 - w[{0, 0, 2}]^2/2 + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + (w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (uZeta[2]*w[{0, 0, 0, 0, 2}])/2,
 w[{1, 0, 1, 0, 1, 1}] -> (-125*uZeta[4])/288 + (uZeta[3]*w[{0, 1}])/8 - (19*uZeta[2]*w[{0, 1}]^2)/24 + (w[{0, 1}]*w[{0, 3}])/24 - (5*uZeta[2]*w[{0, 0, 2}])/12 + (w[{0, 1}]^2*w[{0, 0, 2}])/4 - w[{0, 0, 2}]^2/4 + 6*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] - (w[{0, 1}]*w[{0, 0, 0, 3}])/4,
 w[{1, 0, 1, 1, 0, 1}] -> (125*uZeta[4])/144 - (uZeta[3]*w[{0, 1}])/4 + (19*uZeta[2]*w[{0, 1}]^2)/12 - (w[{0, 1}]*w[{0, 3}])/12 + (5*uZeta[2]*w[{0, 0, 2}])/6 - (w[{0, 1}]^2*w[{0, 0, 2}])/2 + w[{0, 0, 2}]^2/2 - 12*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + (w[{0, 1}]*w[{0, 0, 0, 3}])/2,
 w[{1, 1, 0, 0, 0, 2}] -> uZeta[4]/144 + (5*uZeta[2]*w[{0, 1}]^2)/24 + (uZeta[2]*w[{0, 0, 2}])/6 + (w[{0, 1}]^2*w[{0, 0, 2}])/4 + w[{0, 0, 2}]^2/4 - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 0, 0, 0, 2}])/2,
 w[{1, 1, 0, 0, 1, 1}] -> (125*uZeta[4])/576 + (5*uZeta[2]*w[{0, 1}]^2)/24 + w[{0, 1}]^4/8 + (5*uZeta[2]*w[{0, 0, 2}])/24 + (w[{0, 1}]^2*w[{0, 0, 2}])/4 + w[{0, 0, 2}]^2/8,
 w[{2, 0, 0, 0, 0, 2}] -> (5*uZeta[4])/24 + (uZeta[2]*w[{0, 0, 2}])/2 + w[{0, 0, 2}]^2/2 - 2*uZeta[2]*w[{0, 0, 0, 0, 2}]
}

(* weight 5 length 6 *)

{
w[{0, 0, 0, 0, 3, 2}] -> -w[{0, 5}]/45 - (w[{0, 3}]*w[{0, 0, 2}])/6 + w[{0, 0, 2}]*w[{0, 0, 0, 3}] + w[{0, 0, 0, 5}]/3 + w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 6*w[{0, 0, 0, 0, 0, 5}] + w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 0, 0, 4, 1}] -> (-7*uZeta[4]*w[{0, 1}])/180 - (7*uZeta[2]*w[{0, 3}])/180 - (2*w[{0, 5}])/45 - (w[{0, 3}]*w[{0, 0, 2}])/6 - (w[{0, 1}]*w[{0, 0, 4}])/6 + (uZeta[4]*w[{0, 0, 0, 1}])/3 + w[{0, 0, 4}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 0, 0, 3}])/3 + w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (2*w[{0, 0, 0, 5}])/3 + w[{0, 3}]*w[{0, 0, 0, 0, 2}] + w[{0, 1}]*w[{0, 0, 0, 0, 4}] - 2*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - 7*w[{0, 0, 0, 0, 0, 5}],
 w[{0, 0, 0, 0, 5, 0}] -> -w[{0, 5}]/24 + w[{0, 0, 0, 5}]/2 - 5*w[{0, 0, 0, 0, 0, 5}],
 w[{0, 0, 0, 1, 0, 4}] -> uZeta[5]/60 + (uZeta[4]*w[{0, 1}])/20 + w[{0, 5}]/1800 + (7*w[{0, 0, 0, 5}])/30 - w[{0, 0, 2, 3}]/6 + w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 6*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (3*w[{0, 0, 0, 0, 0, 5}])/5 + w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 0, 1, 1, 3}] -> (3*uZeta[5])/160 + (2*uZeta[4]*w[{0, 1}])/5 + (3*w[{0, 5}])/800 - 3*uZeta[4]*w[{0, 0, 0, 1}] + (13*w[{0, 0, 0, 5}])/40 - w[{0, 0, 2, 3}]/4 + (3*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + 12*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (31*w[{0, 0, 0, 0, 0, 5}])/20 + (3*w[{0, 0, 0, 0, 1, 4}])/2 - 2*w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 0, 1, 3, 1}] -> (uZeta[2]*uZeta[3])/12 + (3*uZeta[5])/160 + (3*uZeta[4]*w[{0, 1}])/16 - (uZeta[2]*w[{0, 3}])/12 - (713*w[{0, 5}])/7200 - (w[{0, 3}]*w[{0, 0, 2}])/6 - (w[{0, 1}]*w[{0, 0, 2}]^2)/4 - (w[{0, 1}]*w[{0, 0, 4}])/3 - (uZeta[4]*w[{0, 0, 0, 1}])/2 + (3*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 + (uZeta[2]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (59*w[{0, 0, 0, 5}])/120 + w[{0, 0, 2, 3}]/4 - (w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + (9*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 + (w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 - 8*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (109*w[{0, 0, 0, 0, 0, 5}])/20 - 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - (3*w[{0, 0, 0, 0, 1, 4}])/2 + w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 0, 1, 4, 0}] -> -uZeta[5]/60 - (23*uZeta[4]*w[{0, 1}])/60 - (uZeta[2]*w[{0, 3}])/12 - (47*w[{0, 5}])/225 - (w[{0, 3}]*w[{0, 0, 2}])/2 + 2*uZeta[4]*w[{0, 0, 0, 1}] + (4*w[{0, 0, 0, 5}])/15 + (2*w[{0, 0, 2, 3}])/3 - w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 6*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (3*w[{0, 0, 0, 0, 0, 5}])/5 - 5*w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 0, 2, 0, 3}] -> uZeta[5]/40 + (9*uZeta[4]*w[{0, 1}])/20 + (uZeta[2]*w[{0, 3}])/12 + (11*w[{0, 5}])/200 + (w[{0, 3}]*w[{0, 0, 2}])/2 - 3*uZeta[4]*w[{0, 0, 0, 1}] + (13*w[{0, 0, 0, 5}])/30 - w[{0, 0, 2, 3}]/3 - w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 6*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (13*w[{0, 0, 0, 0, 0, 5}])/5 + 3*w[{0, 0, 0, 0, 1, 4}] - 3*w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 0, 2, 1, 2}] -> -uZeta[5]/15 - (37*uZeta[4]*w[{0, 1}])/60 - (uZeta[2]*w[{0, 3}])/12 - (83*w[{0, 5}])/600 + (uZeta[3]*w[{0, 0, 2}])/4 - (5*w[{0, 3}]*w[{0, 0, 2}])/12 + uZeta[4]*w[{0, 0, 0, 1}] - (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 - (34*w[{0, 0, 0, 5}])/15 + (7*w[{0, 0, 2, 3}])/6 - 6*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 54*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (153*w[{0, 0, 0, 0, 0, 5}])/5 - 10*w[{0, 0, 0, 0, 1, 4}] - 2*w[{0, 0, 0, 0, 2, 3}] - w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 0, 2, 2, 1}] -> (uZeta[2]*uZeta[3])/12 + uZeta[5]/60 + (79*uZeta[4]*w[{0, 1}])/180 + (7*uZeta[2]*w[{0, 3}])/45 + (71*w[{0, 5}])/1800 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + (2*w[{0, 3}]*w[{0, 0, 2}])/3 + (w[{0, 1}]*w[{0, 0, 4}])/12 - (17*uZeta[4]*w[{0, 0, 0, 1}])/6 - 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (5*uZeta[2]*w[{0, 0, 0, 3}])/6 - w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (19*w[{0, 0, 0, 5}])/15 + w[{0, 0, 2, 3}]/2 - 5*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + w[{0, 1}]*w[{0, 0, 0, 2, 2}] + 4*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 6*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (43*w[{0, 0, 0, 0, 0, 5}])/5 - 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - 2*w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 0, 2, 3, 0}] -> -uZeta[5]/40 - (9*uZeta[4]*w[{0, 1}])/20 - (uZeta[2]*w[{0, 3}])/12 - (29*w[{0, 5}])/300 - (w[{0, 3}]*w[{0, 0, 2}])/2 + 3*uZeta[4]*w[{0, 0, 0, 1}] - (13*w[{0, 0, 0, 5}])/30 + (5*w[{0, 0, 2, 3}])/6 + w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 6*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (13*w[{0, 0, 0, 0, 0, 5}])/5 - 3*w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 0, 3, 0, 2}] -> -uZeta[5]/40 - (uZeta[4]*w[{0, 1}])/5 - (49*w[{0, 5}])/1800 + (w[{0, 3}]*w[{0, 0, 2}])/3 - 2*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (29*w[{0, 0, 0, 5}])/15 + (2*w[{0, 0, 2, 3}])/3 - 6*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 24*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (113*w[{0, 0, 0, 0, 0, 5}])/5 - 6*w[{0, 0, 0, 0, 1, 4}],
 w[{0, 0, 0, 3, 1, 1}] -> -uZeta[5]/40 + (97*uZeta[4]*w[{0, 1}])/360 + (247*uZeta[2]*w[{0, 3}])/720 - (w[{0, 1}]^2*w[{0, 3}])/6 + (191*w[{0, 5}])/1800 + (2*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + (3*w[{0, 3}]*w[{0, 0, 2}])/4 + (w[{0, 1}]*w[{0, 0, 2}]^2)/2 + (7*w[{0, 1}]*w[{0, 0, 4}])/12 - (11*uZeta[4]*w[{0, 0, 0, 1}])/6 + w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (9*uZeta[2]*w[{0, 0, 0, 3}])/4 + (w[{0, 1}]^2*w[{0, 0, 0, 3}])/2 - (7*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 - (44*w[{0, 0, 0, 5}])/15 + (2*w[{0, 0, 2, 3}])/3 - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] - (13*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - (7*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 + 24*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 16*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (133*w[{0, 0, 0, 0, 0, 5}])/5 - 6*w[{0, 0, 0, 0, 1, 4}],
 w[{0, 0, 0, 3, 2, 0}] -> uZeta[5]/40 + (uZeta[4]*w[{0, 1}])/5 + (uZeta[2]*w[{0, 3}])/4 + (73*w[{0, 5}])/225 + (5*w[{0, 3}]*w[{0, 0, 2}])/6 - uZeta[2]*w[{0, 0, 0, 3}] - 2*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (7*w[{0, 0, 0, 5}])/5 - w[{0, 0, 2, 3}]/6 + 2*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 24*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (7*w[{0, 0, 0, 0, 0, 5}])/5 + 6*w[{0, 0, 0, 0, 1, 4}] - 4*w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 0, 4, 0, 1}] -> -uZeta[5]/60 + (uZeta[4]*w[{0, 1}])/45 + (7*uZeta[2]*w[{0, 3}])/45 + (19*w[{0, 5}])/300 + (w[{0, 3}]*w[{0, 0, 2}])/3 + (2*w[{0, 1}]*w[{0, 0, 4}])/3 - (uZeta[4]*w[{0, 0, 0, 1}])/3 - w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (4*uZeta[2]*w[{0, 0, 0, 3}])/3 - 2*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (26*w[{0, 0, 0, 5}])/15 + w[{0, 0, 2, 3}]/3 - 4*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 4*w[{0, 1}]*w[{0, 0, 0, 0, 4}] + 14*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 8*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (77*w[{0, 0, 0, 0, 0, 5}])/5 - 4*w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 0, 4, 1, 0}] -> uZeta[5]/60 + (23*uZeta[4]*w[{0, 1}])/60 + (uZeta[2]*w[{0, 3}])/4 + (731*w[{0, 5}])/1800 + (5*w[{0, 3}]*w[{0, 0, 2}])/6 + (w[{0, 1}]*w[{0, 0, 4}])/2 - 2*uZeta[4]*w[{0, 0, 0, 1}] - 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 0, 0, 3}] - 2*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (73*w[{0, 0, 0, 5}])/30 - w[{0, 0, 2, 3}]/3 - 6*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (63*w[{0, 0, 0, 0, 0, 5}])/5 + 4*w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 0, 5, 0, 0}] -> w[{0, 5}]/6 - (3*w[{0, 0, 0, 5}])/2 + 10*w[{0, 0, 0, 0, 0, 5}],
 w[{0, 0, 1, 0, 0, 4}] -> -uZeta[5]/60 + (7*uZeta[4]*w[{0, 1}])/60 + (89*w[{0, 5}])/1800 + (w[{0, 3}]*w[{0, 0, 2}])/6 + (w[{0, 1}]*w[{0, 0, 4}])/2 - uZeta[4]*w[{0, 0, 0, 1}] - 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] - w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (17*w[{0, 0, 0, 5}])/30 - w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 6*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (17*w[{0, 0, 0, 0, 0, 5}])/5 - w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 1, 0, 1, 3}] -> (-3*uZeta[5])/32 - (2*uZeta[4]*w[{0, 1}])/3 + (137*w[{0, 5}])/1440 + (w[{0, 3}]*w[{0, 0, 2}])/6 + (3*w[{0, 1}]*w[{0, 0, 4}])/4 + (11*uZeta[4]*w[{0, 0, 0, 1}])/2 - (9*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (19*w[{0, 0, 0, 5}])/24 + w[{0, 0, 2, 3}]/12 - (3*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - 30*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (3*w[{0, 0, 0, 0, 0, 5}])/4 - w[{0, 0, 0, 0, 1, 4}]/2 + 3*w[{0, 0, 0, 0, 2, 3}] - w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 1, 0, 2, 2}] -> (-13*uZeta[5])/240 - (4*uZeta[4]*w[{0, 1}])/15 + (11*w[{0, 5}])/3600 - (w[{0, 3}]*w[{0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 0, 4}])/4 + (5*uZeta[4]*w[{0, 0, 0, 1}])/2 + (3*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 + 3*w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (19*w[{0, 0, 0, 5}])/20 + w[{0, 0, 2, 3}]/6 + 2*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 18*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (217*w[{0, 0, 0, 0, 0, 5}])/10 + 4*w[{0, 0, 0, 0, 1, 4}] + 3*w[{0, 0, 0, 0, 2, 3}] - 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 1, 0, 3, 1}] -> -(uZeta[2]*uZeta[3])/6 - uZeta[5]/48 - (491*uZeta[4]*w[{0, 1}])/360 - (59*uZeta[2]*w[{0, 3}])/240 + (w[{0, 1}]^2*w[{0, 3}])/2 - (131*w[{0, 5}])/720 + (uZeta[3]*w[{0, 0, 2}])/4 - (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (3*w[{0, 3}]*w[{0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 0, 2}]^2)/2 - (w[{0, 1}]*w[{0, 0, 4}])/2 + (47*uZeta[4]*w[{0, 0, 0, 1}])/6 - 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 + uZeta[2]*w[{0, 0, 0, 3}] + (15*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (11*w[{0, 0, 0, 5}])/4 + w[{0, 0, 2, 3}]/6 + (9*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + (3*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 + 10*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 8*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (61*w[{0, 0, 0, 0, 0, 5}])/2 + 4*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + 6*w[{0, 0, 0, 0, 1, 4}] - 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 1, 0, 4, 0}] -> -uZeta[5]/60 - (23*uZeta[4]*w[{0, 1}])/60 - (481*w[{0, 5}])/1800 - (w[{0, 3}]*w[{0, 0, 2}])/3 - w[{0, 1}]*w[{0, 0, 4}] + 2*uZeta[4]*w[{0, 0, 0, 1}] + 6*w[{0, 0, 4}]*w[{0, 0, 0, 1}] + 2*w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (29*w[{0, 0, 0, 5}])/15 - w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 6*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (43*w[{0, 0, 0, 0, 0, 5}])/5 - w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 1, 1, 0, 3}] -> (7*uZeta[5])/80 - (uZeta[4]*w[{0, 1}])/20 + (uZeta[2]*w[{0, 3}])/12 + (143*w[{0, 5}])/3600 - (uZeta[3]*w[{0, 0, 2}])/4 + (7*w[{0, 3}]*w[{0, 0, 2}])/12 - (w[{0, 1}]*w[{0, 0, 4}])/2 + 3*uZeta[4]*w[{0, 0, 0, 1}] + 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (7*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 - (29*w[{0, 0, 0, 5}])/60 - w[{0, 0, 2, 3}]/2 + w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 54*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (149*w[{0, 0, 0, 0, 0, 5}])/10 - 2*w[{0, 0, 0, 0, 1, 4}] - 2*w[{0, 0, 0, 0, 2, 3}] + 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 1, 1, 1, 2}] -> (83*uZeta[5])/240 - (3*uZeta[4]*w[{0, 1}])/20 - (uZeta[2]*w[{0, 3}])/12 + (113*w[{0, 5}])/1200 - (uZeta[3]*w[{0, 0, 2}])/4 + (5*w[{0, 3}]*w[{0, 0, 2}])/12 - (w[{0, 1}]*w[{0, 0, 4}])/4 + (9*uZeta[4]*w[{0, 0, 0, 1}])/2 + (3*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (5*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 0, 5}]/20 - w[{0, 0, 2, 3}]/2 + 2*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 72*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (7*w[{0, 0, 0, 0, 0, 5}])/10 + 2*w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 1, 1, 2, 1}] -> -(uZeta[2]*uZeta[3])/4 - (167*uZeta[5])/480 - (87*uZeta[4]*w[{0, 1}])/80 + (173*uZeta[2]*w[{0, 3}])/720 - (w[{0, 1}]^2*w[{0, 3}])/2 - (1181*w[{0, 5}])/7200 + (3*uZeta[3]*w[{0, 0, 2}])/4 - (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (5*w[{0, 3}]*w[{0, 0, 2}])/6 + (5*w[{0, 1}]*w[{0, 0, 2}]^2)/4 + (3*w[{0, 1}]*w[{0, 0, 4}])/4 + (7*uZeta[4]*w[{0, 0, 0, 1}])/2 + 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (7*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 + (5*uZeta[2]*w[{0, 0, 0, 3}])/6 + (13*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (383*w[{0, 0, 0, 5}])/120 - (3*w[{0, 0, 2, 3}])/4 + 3*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - (13*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 - (7*w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 + 14*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 8*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (533*w[{0, 0, 0, 0, 0, 5}])/20 + 6*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + (9*w[{0, 0, 0, 0, 1, 4}])/2 + 2*w[{0, 0, 0, 0, 2, 3}] - 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 1, 1, 3, 0}] -> -uZeta[5]/20 - (29*uZeta[4]*w[{0, 1}])/60 - (uZeta[2]*w[{0, 3}])/12 - (713*w[{0, 5}])/1800 + (uZeta[3]*w[{0, 0, 2}])/4 - (3*w[{0, 3}]*w[{0, 0, 2}])/4 - (w[{0, 1}]*w[{0, 0, 4}])/4 + (uZeta[4]*w[{0, 0, 0, 1}])/2 + (3*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 + (9*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (14*w[{0, 0, 0, 5}])/5 + w[{0, 0, 2, 3}]/6 - 4*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 48*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (94*w[{0, 0, 0, 0, 0, 5}])/5 - 2*w[{0, 0, 0, 0, 1, 4}] + 5*w[{0, 0, 0, 0, 2, 3}] - w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 1, 2, 0, 2}] -> (7*uZeta[5])/48 - (uZeta[4]*w[{0, 1}])/4 + (29*w[{0, 5}])/720 + (2*w[{0, 3}]*w[{0, 0, 2}])/3 + (w[{0, 1}]*w[{0, 0, 4}])/2 + 3*uZeta[4]*w[{0, 0, 0, 1}] - 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] - 4*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (25*w[{0, 0, 0, 5}])/12 + w[{0, 0, 2, 3}]/6 - 5*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 30*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (59*w[{0, 0, 0, 0, 0, 5}])/2 - 6*w[{0, 0, 0, 0, 1, 4}] - 2*w[{0, 0, 0, 0, 2, 3}] + 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 1, 2, 1, 1}] -> (-11*uZeta[2]*uZeta[3])/48 + (149*uZeta[5])/480 - (157*uZeta[4]*w[{0, 1}])/90 + (uZeta[3]*w[{0, 1}]^2)/8 + (41*uZeta[2]*w[{0, 3}])/720 + (13*w[{0, 1}]^2*w[{0, 3}])/24 + (1027*w[{0, 5}])/7200 - (3*uZeta[3]*w[{0, 0, 2}])/8 + (7*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/6 + (13*w[{0, 3}]*w[{0, 0, 2}])/24 + (3*w[{0, 1}]*w[{0, 0, 2}]^2)/4 + (83*uZeta[4]*w[{0, 0, 0, 1}])/6 - 4*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - 6*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (5*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (17*uZeta[2]*w[{0, 0, 0, 3}])/8 + (w[{0, 1}]^2*w[{0, 0, 0, 3}])/4 - (23*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/4 - (541*w[{0, 0, 0, 5}])/120 + (7*w[{0, 0, 2, 3}])/4 - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] - (11*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - (3*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 + (3*w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 - 18*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 10*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (631*w[{0, 0, 0, 0, 0, 5}])/20 + 8*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - (15*w[{0, 0, 0, 0, 1, 4}])/2 - w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 1, 2, 2, 0}] -> -(uZeta[2]*uZeta[3])/4 - (11*uZeta[5])/120 - (119*uZeta[4]*w[{0, 1}])/60 + (37*w[{0, 5}])/300 - (2*w[{0, 3}]*w[{0, 0, 2}])/3 - (w[{0, 1}]*w[{0, 0, 4}])/4 + (19*uZeta[4]*w[{0, 0, 0, 1}])/2 + (3*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (uZeta[2]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (28*w[{0, 0, 0, 5}])/15 + (5*w[{0, 0, 2, 3}])/3 + 3*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 48*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (39*w[{0, 0, 0, 0, 0, 5}])/5 + 2*w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}] - 3*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 1, 3, 0, 1}] -> -(uZeta[2]*uZeta[3])/12 + (23*uZeta[5])/240 - (107*uZeta[4]*w[{0, 1}])/720 + (119*uZeta[2]*w[{0, 3}])/240 - (w[{0, 1}]^2*w[{0, 3}])/2 + (469*w[{0, 5}])/3600 - (uZeta[3]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + (3*w[{0, 3}]*w[{0, 0, 2}])/2 + (5*w[{0, 1}]*w[{0, 0, 2}]^2)/4 + (3*w[{0, 1}]*w[{0, 0, 4}])/4 + (8*uZeta[4]*w[{0, 0, 0, 1}])/3 + 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + 4*w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (5*uZeta[2]*w[{0, 0, 0, 3}])/2 - (15*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 - (69*w[{0, 0, 0, 5}])/20 + w[{0, 0, 2, 3}]/3 - (15*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - (33*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 - (3*w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 - 22*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 14*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (377*w[{0, 0, 0, 0, 0, 5}])/10 + 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - 9*w[{0, 0, 0, 0, 1, 4}] + 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 1, 3, 1, 0}] -> -(uZeta[2]*uZeta[3])/4 - (21*uZeta[5])/160 - (13*uZeta[4]*w[{0, 1}])/10 + (uZeta[2]*w[{0, 3}])/4 + (1837*w[{0, 5}])/2400 + (w[{0, 3}]*w[{0, 0, 2}])/2 + (3*w[{0, 1}]*w[{0, 0, 4}])/2 + 6*uZeta[4]*w[{0, 0, 0, 1}] - 9*w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (3*uZeta[2]*w[{0, 0, 0, 3}])/2 - 3*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (231*w[{0, 0, 0, 5}])/40 + (5*w[{0, 0, 2, 3}])/4 + (9*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + 36*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (183*w[{0, 0, 0, 0, 0, 5}])/20 + (15*w[{0, 0, 0, 0, 1, 4}])/2 - 3*w[{0, 0, 0, 0, 2, 3}] - 3*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 1, 4, 0, 0}] -> uZeta[5]/30 + (23*uZeta[4]*w[{0, 1}])/30 + (uZeta[2]*w[{0, 3}])/4 + (1067*w[{0, 5}])/1800 + (7*w[{0, 3}]*w[{0, 0, 2}])/6 + (w[{0, 1}]*w[{0, 0, 4}])/2 - 4*uZeta[4]*w[{0, 0, 0, 1}] - 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] - w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (71*w[{0, 0, 0, 5}])/30 - w[{0, 0, 2, 3}] + 2*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 12*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (26*w[{0, 0, 0, 0, 0, 5}])/5 + 8*w[{0, 0, 0, 0, 1, 4}] - 2*w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 2, 0, 0, 3}] -> -uZeta[5]/40 - (7*uZeta[4]*w[{0, 1}])/10 - (uZeta[2]*w[{0, 3}])/4 + w[{0, 5}]/300 - w[{0, 3}]*w[{0, 0, 2}] + 6*uZeta[4]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 5}]/10 + 6*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 36*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (8*w[{0, 0, 0, 0, 0, 5}])/5,
 w[{0, 0, 2, 0, 1, 2}] -> (23*uZeta[5])/240 + (91*uZeta[4]*w[{0, 1}])/60 + (uZeta[2]*w[{0, 3}])/4 + (919*w[{0, 5}])/3600 - (uZeta[3]*w[{0, 0, 2}])/4 + (13*w[{0, 3}]*w[{0, 0, 2}])/12 - 4*uZeta[4]*w[{0, 0, 0, 1}] - (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (293*w[{0, 0, 0, 5}])/60 - 3*w[{0, 0, 2, 3}] + 13*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 102*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (493*w[{0, 0, 0, 0, 0, 5}])/10 + 19*w[{0, 0, 0, 0, 1, 4}],
 w[{0, 0, 2, 0, 2, 1}] -> -(uZeta[2]*uZeta[3])/4 - (7*uZeta[5])/240 - (197*uZeta[4]*w[{0, 1}])/120 - (7*uZeta[2]*w[{0, 3}])/20 - (301*w[{0, 5}])/3600 - (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (4*w[{0, 3}]*w[{0, 0, 2}])/3 + (w[{0, 1}]*w[{0, 0, 2}]^2)/2 - (w[{0, 1}]*w[{0, 0, 4}])/4 + 10*uZeta[4]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 4}]*w[{0, 0, 0, 1}] + (3*uZeta[2]*w[{0, 0, 0, 3}])/2 + 2*w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (21*w[{0, 0, 0, 5}])/20 + w[{0, 0, 2, 3}]/6 + 5*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + (w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 - 2*w[{0, 1}]*w[{0, 0, 0, 2, 2}] + 8*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 12*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (183*w[{0, 0, 0, 0, 0, 5}])/10 + 6*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + w[{0, 0, 0, 0, 1, 4}] + 5*w[{0, 0, 0, 0, 2, 3}] - 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 2, 0, 3, 0}] -> -uZeta[5]/40 + (uZeta[4]*w[{0, 1}])/20 - (51*w[{0, 5}])/200 - 3*uZeta[4]*w[{0, 0, 0, 1}] + (2*w[{0, 0, 0, 5}])/5 - 9*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 54*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (23*w[{0, 0, 0, 0, 0, 5}])/5 - 9*w[{0, 0, 0, 0, 1, 4}] + 9*w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 2, 1, 0, 2}] -> (7*uZeta[5])/240 - (13*uZeta[4]*w[{0, 1}])/30 - (23*w[{0, 5}])/1200 - (uZeta[3]*w[{0, 0, 2}])/4 - (w[{0, 3}]*w[{0, 0, 2}])/12 + 8*uZeta[4]*w[{0, 0, 0, 1}] + (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (49*w[{0, 0, 0, 5}])/20 - (3*w[{0, 0, 2, 3}])/2 + 8*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 108*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (67*w[{0, 0, 0, 0, 0, 5}])/10 + 5*w[{0, 0, 0, 0, 1, 4}] - 5*w[{0, 0, 0, 0, 2, 3}] + 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 2, 1, 1, 1}] -> -(uZeta[2]*uZeta[3])/6 + uZeta[5]/40 - (511*uZeta[4]*w[{0, 1}])/240 + (uZeta[2]*w[{0, 1}]^3)/6 - (59*uZeta[2]*w[{0, 3}])/240 - (11*w[{0, 5}])/1800 + (uZeta[3]*w[{0, 0, 2}])/12 - (9*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/4 + (w[{0, 1}]^3*w[{0, 0, 2}])/6 - (w[{0, 3}]*w[{0, 0, 2}])/18 + (w[{0, 1}]*w[{0, 0, 2}]^2)/2 + (133*uZeta[4]*w[{0, 0, 0, 1}])/12 - uZeta[2]*w[{0, 1}]^2*w[{0, 0, 0, 1}] + w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] + 7*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 + (43*uZeta[2]*w[{0, 0, 0, 3}])/12 - (w[{0, 1}]^2*w[{0, 0, 0, 3}])/2 + (4*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/3 + (13*w[{0, 0, 0, 5}])/5 - (4*w[{0, 0, 2, 3}])/3 + 9*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + (11*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - w[{0, 1}]*w[{0, 0, 0, 0, 4}] - 2*w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 64*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 26*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (93*w[{0, 0, 0, 0, 0, 5}])/5 + 4*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + 6*w[{0, 0, 0, 0, 1, 4}],
 w[{0, 0, 2, 1, 2, 0}] -> (3*uZeta[5])/40 + (73*uZeta[4]*w[{0, 1}])/30 + (uZeta[2]*w[{0, 3}])/6 - (139*w[{0, 5}])/900 - (uZeta[3]*w[{0, 0, 2}])/4 + (5*w[{0, 3}]*w[{0, 0, 2}])/4 - 17*uZeta[4]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 0, 0, 3}] + (3*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (179*w[{0, 0, 0, 5}])/30 - (7*w[{0, 0, 2, 3}])/2 - 3*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 48*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (179*w[{0, 0, 0, 0, 0, 5}])/5 + 6*w[{0, 0, 0, 0, 1, 4}] + 11*w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 2, 2, 0, 1}] -> (7*uZeta[5])/80 - (157*uZeta[4]*w[{0, 1}])/120 - (7*uZeta[2]*w[{0, 3}])/60 + (173*w[{0, 5}])/3600 - (uZeta[3]*w[{0, 0, 2}])/4 - (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + (w[{0, 3}]*w[{0, 0, 2}])/4 - (w[{0, 1}]*w[{0, 0, 2}]^2)/2 + 8*uZeta[4]*w[{0, 0, 0, 1}] + 4*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - w[{0, 0, 4}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 0, 0, 3}] - (3*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (11*w[{0, 0, 0, 5}])/60 - (2*w[{0, 0, 2, 3}])/3 + 3*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - (w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 - w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 74*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 6*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (99*w[{0, 0, 0, 0, 0, 5}])/10 + w[{0, 0, 0, 0, 1, 4}] - 5*w[{0, 0, 0, 0, 2, 3}] + 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 2, 2, 1, 0}] -> -(uZeta[2]*uZeta[3])/4 - (13*uZeta[5])/120 - (11*uZeta[4]*w[{0, 1}])/5 - (uZeta[2]*w[{0, 3}])/3 + (151*w[{0, 5}])/1800 + (uZeta[3]*w[{0, 0, 2}])/4 - (17*w[{0, 3}]*w[{0, 0, 2}])/12 - (w[{0, 1}]*w[{0, 0, 4}])/4 + (21*uZeta[4]*w[{0, 0, 0, 1}])/2 + (3*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 + (uZeta[2]*w[{0, 0, 0, 3}])/2 + (5*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 - (14*w[{0, 0, 0, 5}])/15 + (3*w[{0, 0, 2, 3}])/2 + 7*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 54*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (87*w[{0, 0, 0, 0, 0, 5}])/5 + 4*w[{0, 0, 0, 0, 1, 4}] - 3*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 2, 3, 0, 0}] -> uZeta[5]/20 + (13*uZeta[4]*w[{0, 1}])/20 + (uZeta[2]*w[{0, 3}])/4 + (113*w[{0, 5}])/300 + w[{0, 3}]*w[{0, 0, 2}] - 3*uZeta[4]*w[{0, 0, 0, 1}] - (3*w[{0, 0, 0, 5}])/10 - w[{0, 0, 2, 3}] + 3*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 18*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (31*w[{0, 0, 0, 0, 0, 5}])/5 + 9*w[{0, 0, 0, 0, 1, 4}] - 3*w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 3, 0, 0, 2}] -> uZeta[5]/40 - (uZeta[4]*w[{0, 1}])/20 + (7*w[{0, 5}])/150 + 3*uZeta[4]*w[{0, 0, 0, 1}] + (13*w[{0, 0, 0, 5}])/5 - w[{0, 0, 2, 3}] + 9*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 54*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (128*w[{0, 0, 0, 0, 0, 5}])/5 + 9*w[{0, 0, 0, 0, 1, 4}] - 3*w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 3, 0, 1, 1}] -> -(uZeta[2]*uZeta[3])/12 + uZeta[5]/480 - (43*uZeta[4]*w[{0, 1}])/45 - (91*uZeta[2]*w[{0, 3}])/360 + (w[{0, 1}]^2*w[{0, 3}])/4 + (143*w[{0, 5}])/7200 - (4*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (w[{0, 3}]*w[{0, 0, 2}])/4 - (w[{0, 1}]*w[{0, 0, 4}])/12 + (10*uZeta[4]*w[{0, 0, 0, 1}])/3 + 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - w[{0, 0, 4}]*w[{0, 0, 0, 1}] + (35*uZeta[2]*w[{0, 0, 0, 3}])/12 - (3*w[{0, 1}]^2*w[{0, 0, 0, 3}])/2 + (3*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (97*w[{0, 0, 0, 5}])/40 - (11*w[{0, 0, 2, 3}])/12 + 6*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + (13*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 22*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 26*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (521*w[{0, 0, 0, 0, 0, 5}])/20 + 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + (15*w[{0, 0, 0, 0, 1, 4}])/2 + w[{0, 0, 0, 0, 2, 3}] - w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 3, 0, 2, 0}] -> uZeta[5]/40 + (7*uZeta[4]*w[{0, 1}])/10 - (uZeta[2]*w[{0, 3}])/2 - (157*w[{0, 5}])/600 - w[{0, 3}]*w[{0, 0, 2}] - 6*uZeta[4]*w[{0, 0, 0, 1}] + 3*uZeta[2]*w[{0, 0, 0, 3}] + 6*w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (31*w[{0, 0, 0, 5}])/10 - w[{0, 0, 2, 3}] + 36*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (83*w[{0, 0, 0, 0, 0, 5}])/5 + 6*w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 3, 1, 0, 1}] -> (uZeta[2]*uZeta[3])/12 + (19*uZeta[5])/240 - (319*uZeta[4]*w[{0, 1}])/360 - (469*uZeta[2]*w[{0, 3}])/720 + (w[{0, 1}]^2*w[{0, 3}])/2 - (43*w[{0, 5}])/3600 - (uZeta[3]*w[{0, 0, 2}])/4 - (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (w[{0, 3}]*w[{0, 0, 2}])/3 - (3*w[{0, 1}]*w[{0, 0, 2}]^2)/2 - (5*w[{0, 1}]*w[{0, 0, 4}])/3 + (14*uZeta[4]*w[{0, 0, 0, 1}])/3 - 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] + 4*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 4}]*w[{0, 0, 0, 1}] + (23*uZeta[2]*w[{0, 0, 0, 3}])/6 + (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (43*w[{0, 0, 0, 5}])/20 - (4*w[{0, 0, 2, 3}])/3 + (15*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + (21*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 + w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 86*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 22*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (59*w[{0, 0, 0, 0, 0, 5}])/10 - 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + 5*w[{0, 0, 0, 0, 1, 4}] - 4*w[{0, 0, 0, 0, 2, 3}] + 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 3, 1, 1, 0}] -> -uZeta[5]/160 + (7*uZeta[4]*w[{0, 1}])/60 - (7*uZeta[2]*w[{0, 3}])/12 - (983*w[{0, 5}])/2400 + (uZeta[3]*w[{0, 0, 2}])/4 - (17*w[{0, 3}]*w[{0, 0, 2}])/12 - (w[{0, 1}]*w[{0, 0, 4}])/4 - (5*uZeta[4]*w[{0, 0, 0, 1}])/2 + (3*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 + 4*uZeta[2]*w[{0, 0, 0, 3}] + (17*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (229*w[{0, 0, 0, 5}])/40 - (3*w[{0, 0, 2, 3}])/4 + (11*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + 36*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (957*w[{0, 0, 0, 0, 0, 5}])/20 + (11*w[{0, 0, 0, 0, 1, 4}])/2 + 3*w[{0, 0, 0, 0, 2, 3}] - w[{0, 0, 0, 1, 2, 2}],
 w[{0, 0, 4, 0, 0, 1}] -> uZeta[5]/60 - (uZeta[4]*w[{0, 1}])/10 - (7*uZeta[2]*w[{0, 3}])/30 + (23*w[{0, 5}])/900 - (w[{0, 3}]*w[{0, 0, 2}])/6 - w[{0, 1}]*w[{0, 0, 4}] + 2*uZeta[2]*w[{0, 0, 0, 3}] + w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (16*w[{0, 0, 0, 5}])/15 - w[{0, 0, 2, 3}]/2 + 4*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 6*w[{0, 1}]*w[{0, 0, 0, 0, 4}] - 18*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 12*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (47*w[{0, 0, 0, 0, 0, 5}])/5 + 4*w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}],
 w[{0, 0, 4, 0, 1, 0}] -> uZeta[5]/60 + (uZeta[4]*w[{0, 1}])/20 - (uZeta[2]*w[{0, 3}])/3 - (217*w[{0, 5}])/900 - (2*w[{0, 3}]*w[{0, 0, 2}])/3 - (w[{0, 1}]*w[{0, 0, 4}])/2 + 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 0, 0, 3}] + 4*w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (107*w[{0, 0, 0, 5}])/30 - w[{0, 0, 2, 3}]/2 + 4*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 6*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (137*w[{0, 0, 0, 0, 0, 5}])/5 + 4*w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}],
 w[{0, 1, 0, 0, 0, 4}] -> -(uZeta[4]*w[{0, 1}])/6 + w[{0, 5}]/72 - (w[{0, 1}]*w[{0, 0, 4}])/2 + uZeta[4]*w[{0, 0, 0, 1}] + 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 5}]/2 + w[{0, 0, 2, 3}]/6 - w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 4*w[{0, 0, 0, 0, 0, 5}] - w[{0, 0, 0, 0, 1, 4}],
 w[{0, 1, 0, 0, 1, 3}] -> (3*uZeta[5])/80 + (4*uZeta[4]*w[{0, 1}])/5 + (49*w[{0, 5}])/1200 - (3*w[{0, 1}]*w[{0, 0, 4}])/4 - (15*uZeta[4]*w[{0, 0, 0, 1}])/2 + (9*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (7*w[{0, 0, 0, 5}])/20 + 54*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (21*w[{0, 0, 0, 0, 0, 5}])/10,
 w[{0, 1, 0, 0, 2, 2}] -> (5*uZeta[5])/48 + 2*uZeta[4]*w[{0, 1}] + (17*w[{0, 5}])/240 - (uZeta[3]*w[{0, 0, 2}])/4 + (w[{0, 3}]*w[{0, 0, 2}])/4 + (w[{0, 1}]*w[{0, 0, 4}])/4 - (27*uZeta[4]*w[{0, 0, 0, 1}])/2 - (3*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (3*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (31*w[{0, 0, 0, 5}])/12 - (11*w[{0, 0, 2, 3}])/6 + 8*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 30*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (33*w[{0, 0, 0, 0, 0, 5}])/2 + 7*w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 0, 0, 3, 1}] -> (uZeta[2]*uZeta[3])/6 + (5*uZeta[5])/96 + (583*uZeta[4]*w[{0, 1}])/240 - (23*uZeta[2]*w[{0, 3}])/144 - (w[{0, 1}]^2*w[{0, 3}])/2 - w[{0, 5}]/288 - (uZeta[3]*w[{0, 0, 2}])/4 - (w[{0, 3}]*w[{0, 0, 2}])/6 + (w[{0, 1}]*w[{0, 0, 2}]^2)/4 + (w[{0, 1}]*w[{0, 0, 4}])/12 - (29*uZeta[4]*w[{0, 0, 0, 1}])/2 + 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - (3*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 + (uZeta[2]*w[{0, 0, 0, 3}])/3 - (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (29*w[{0, 0, 0, 5}])/8 - (23*w[{0, 0, 2, 3}])/12 + 11*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + (3*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 - (w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 - 10*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (97*w[{0, 0, 0, 0, 0, 5}])/4 - 4*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + (17*w[{0, 0, 0, 0, 1, 4}])/2 - w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 0, 0, 4, 0}] -> uZeta[5]/30 + (3*uZeta[4]*w[{0, 1}])/5 - (uZeta[2]*w[{0, 3}])/6 - (103*w[{0, 5}])/1800 - (w[{0, 3}]*w[{0, 0, 2}])/3 + (w[{0, 1}]*w[{0, 0, 4}])/2 - 3*uZeta[4]*w[{0, 0, 0, 1}] - 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 0, 0, 3}] + 2*w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (32*w[{0, 0, 0, 5}])/15 - w[{0, 0, 2, 3}]/2 + 5*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 12*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (94*w[{0, 0, 0, 0, 0, 5}])/5 + 5*w[{0, 0, 0, 0, 1, 4}] - 2*w[{0, 0, 0, 0, 2, 3}],
 w[{0, 1, 0, 1, 0, 3}] -> (-7*uZeta[5])/160 - (11*uZeta[4]*w[{0, 1}])/60 + (uZeta[2]*w[{0, 3}])/12 + (317*w[{0, 5}])/7200 + (uZeta[3]*w[{0, 0, 2}])/4 + (5*w[{0, 3}]*w[{0, 0, 2}])/12 + (w[{0, 1}]*w[{0, 0, 4}])/2 - uZeta[4]*w[{0, 0, 0, 1}] - 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] + (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 - (131*w[{0, 0, 0, 5}])/120 + (3*w[{0, 0, 2, 3}])/4 - (11*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + 42*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (21*w[{0, 0, 0, 0, 0, 5}])/20 - w[{0, 0, 0, 0, 1, 4}]/2 - w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 0, 1, 1, 2}] -> (-11*uZeta[5])/16 - (19*uZeta[4]*w[{0, 1}])/12 - (uZeta[2]*w[{0, 3}])/12 - (9*w[{0, 5}])/80 - (2*w[{0, 3}]*w[{0, 0, 2}])/3 + (w[{0, 1}]*w[{0, 0, 4}])/4 + (7*uZeta[4]*w[{0, 0, 0, 1}])/2 - (3*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 + w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (15*w[{0, 0, 0, 5}])/4 + (5*w[{0, 0, 2, 3}])/2 - 8*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 120*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (55*w[{0, 0, 0, 0, 0, 5}])/2 - 11*w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 0, 1, 2, 1}] -> (5*uZeta[2]*uZeta[3])/6 + (7*uZeta[5])/96 + (2411*uZeta[4]*w[{0, 1}])/360 - (97*uZeta[2]*w[{0, 3}])/720 + (w[{0, 1}]^2*w[{0, 3}])/2 + w[{0, 5}]/160 - (3*uZeta[3]*w[{0, 0, 2}])/4 - (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + w[{0, 3}]*w[{0, 0, 2}] - (7*w[{0, 1}]*w[{0, 0, 2}]^2)/2 - (17*w[{0, 1}]*w[{0, 0, 4}])/12 - (112*uZeta[4]*w[{0, 0, 0, 1}])/3 - 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 0, 0, 3}])/3 - (3*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (97*w[{0, 0, 0, 5}])/24 - (35*w[{0, 0, 2, 3}])/12 + 5*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + (17*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 + 6*w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 10*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 8*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (55*w[{0, 0, 0, 0, 0, 5}])/4 - 20*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + (15*w[{0, 0, 0, 0, 1, 4}])/2 - 2*w[{0, 0, 0, 0, 2, 3}] + 3*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 0, 1, 3, 0}] -> (uZeta[2]*uZeta[3])/4 + (5*uZeta[5])/32 + (29*uZeta[4]*w[{0, 1}])/12 - (uZeta[2]*w[{0, 3}])/3 - (67*w[{0, 5}])/288 - (uZeta[3]*w[{0, 0, 2}])/4 - (3*w[{0, 3}]*w[{0, 0, 2}])/4 - (w[{0, 1}]*w[{0, 0, 4}])/2 - 10*uZeta[4]*w[{0, 0, 0, 1}] + 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] + (3*uZeta[2]*w[{0, 0, 0, 3}])/2 + (3*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (27*w[{0, 0, 0, 5}])/8 - (17*w[{0, 0, 2, 3}])/12 + (17*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - 90*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (15*w[{0, 0, 0, 0, 0, 5}])/4 + (3*w[{0, 0, 0, 0, 1, 4}])/2 - 6*w[{0, 0, 0, 0, 2, 3}] + 3*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 0, 2, 0, 2}] -> (-7*uZeta[5])/30 - (16*uZeta[4]*w[{0, 1}])/5 - (11*w[{0, 5}])/75 + (uZeta[3]*w[{0, 0, 2}])/2 - (w[{0, 3}]*w[{0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 0, 4}])/2 + 15*uZeta[4]*w[{0, 0, 0, 1}] + 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] + 3*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (94*w[{0, 0, 0, 5}])/15 + (25*w[{0, 0, 2, 3}])/6 - 19*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 84*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (213*w[{0, 0, 0, 0, 0, 5}])/5 - 17*w[{0, 0, 0, 0, 1, 4}] - 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 0, 2, 1, 1}] -> (31*uZeta[2]*uZeta[3])/48 - (37*uZeta[5])/80 + (163*uZeta[4]*w[{0, 1}])/240 - (uZeta[3]*w[{0, 1}]^2)/8 - (5*uZeta[2]*w[{0, 3}])/72 - (5*w[{0, 1}]^2*w[{0, 3}])/8 - (733*w[{0, 5}])/3600 + (3*uZeta[3]*w[{0, 0, 2}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/2 - (13*w[{0, 3}]*w[{0, 0, 2}])/24 - (3*w[{0, 1}]*w[{0, 0, 2}]^2)/2 + (w[{0, 1}]*w[{0, 0, 4}])/4 - (13*uZeta[4]*w[{0, 0, 0, 1}])/2 + 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - (3*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (53*uZeta[2]*w[{0, 0, 0, 3}])/24 + (3*w[{0, 1}]^2*w[{0, 0, 0, 3}])/4 + (7*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/4 - (147*w[{0, 0, 0, 5}])/20 + (14*w[{0, 0, 2, 3}])/3 - 3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] - (45*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + (3*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 + 3*w[{0, 1}]*w[{0, 0, 0, 2, 2}] + 114*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 26*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (541*w[{0, 0, 0, 0, 0, 5}])/10 - 18*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - 22*w[{0, 0, 0, 0, 1, 4}] + 2*w[{0, 0, 0, 0, 2, 3}] - 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 0, 2, 2, 0}] -> (uZeta[2]*uZeta[3])/2 + (2*uZeta[5])/15 + (46*uZeta[4]*w[{0, 1}])/15 + (uZeta[2]*w[{0, 3}])/3 - w[{0, 5}]/900 + w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 1}]*w[{0, 0, 4}])/2 - 13*uZeta[4]*w[{0, 0, 0, 1}] - 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 0, 0, 3}] - 6*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (4*w[{0, 0, 0, 5}])/5 - (5*w[{0, 0, 2, 3}])/6 - w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 108*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (169*w[{0, 0, 0, 0, 0, 5}])/5 - 5*w[{0, 0, 0, 0, 1, 4}] - 6*w[{0, 0, 0, 0, 2, 3}] + 4*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 0, 3, 0, 1}] -> (-17*uZeta[5])/80 - (419*uZeta[4]*w[{0, 1}])/360 + (14*uZeta[2]*w[{0, 3}])/45 - (533*w[{0, 5}])/3600 + (uZeta[3]*w[{0, 0, 2}])/2 + (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (w[{0, 3}]*w[{0, 0, 2}])/6 + (w[{0, 1}]*w[{0, 0, 2}]^2)/2 + (4*w[{0, 1}]*w[{0, 0, 4}])/3 + (22*uZeta[4]*w[{0, 0, 0, 1}])/3 - 4*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - 4*w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (8*uZeta[2]*w[{0, 0, 0, 3}])/3 + w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (127*w[{0, 0, 0, 5}])/20 + (23*w[{0, 0, 2, 3}])/6 - 21*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - (9*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 + w[{0, 1}]*w[{0, 0, 0, 2, 2}] + 84*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 16*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (451*w[{0, 0, 0, 0, 0, 5}])/10 - 19*w[{0, 0, 0, 0, 1, 4}] + 4*w[{0, 0, 0, 0, 2, 3}] - 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 0, 3, 1, 0}] -> (uZeta[2]*uZeta[3])/4 + (3*uZeta[5])/20 + (11*uZeta[4]*w[{0, 1}])/5 + (7*uZeta[2]*w[{0, 3}])/6 + (121*w[{0, 5}])/450 - (uZeta[3]*w[{0, 0, 2}])/2 + 3*w[{0, 3}]*w[{0, 0, 2}] - w[{0, 1}]*w[{0, 0, 4}] - 9*uZeta[4]*w[{0, 0, 0, 1}] + 6*w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (13*uZeta[2]*w[{0, 0, 0, 3}])/2 - 15*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (22*w[{0, 0, 0, 5}])/5 - (5*w[{0, 0, 2, 3}])/6 - 10*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 84*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (322*w[{0, 0, 0, 0, 0, 5}])/5 - 10*w[{0, 0, 0, 0, 1, 4}] - 2*w[{0, 0, 0, 0, 2, 3}] + 4*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 1, 0, 0, 3}] -> -uZeta[5]/32 - (uZeta[4]*w[{0, 1}])/2 + (uZeta[2]*w[{0, 3}])/12 - (19*w[{0, 5}])/480 + 3*uZeta[4]*w[{0, 0, 0, 1}] - (29*w[{0, 0, 0, 5}])/24 + (7*w[{0, 0, 2, 3}])/12 - (7*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + (47*w[{0, 0, 0, 0, 0, 5}])/4 - (9*w[{0, 0, 0, 0, 1, 4}])/2 + w[{0, 0, 0, 0, 2, 3}],
 w[{0, 1, 1, 0, 1, 2}] -> (49*uZeta[5])/80 + (47*uZeta[4]*w[{0, 1}])/30 - (uZeta[2]*w[{0, 3}])/12 + (431*w[{0, 5}])/3600 + (uZeta[3]*w[{0, 0, 2}])/2 - 10*uZeta[4]*w[{0, 0, 0, 1}] + (29*w[{0, 0, 0, 5}])/20 - (5*w[{0, 0, 2, 3}])/6 + 5*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 12*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (217*w[{0, 0, 0, 0, 0, 5}])/10 + 7*w[{0, 0, 0, 0, 1, 4}] + 2*w[{0, 0, 0, 0, 2, 3}] - w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 1, 0, 2, 1}] -> (-5*uZeta[2]*uZeta[3])/6 + (7*uZeta[5])/16 - (877*uZeta[4]*w[{0, 1}])/720 + (53*uZeta[2]*w[{0, 3}])/180 + (49*w[{0, 5}])/240 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + (11*w[{0, 1}]*w[{0, 0, 2}]^2)/4 + (5*w[{0, 1}]*w[{0, 0, 4}])/12 + (13*uZeta[4]*w[{0, 0, 0, 1}])/3 - 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 0, 0, 3}])/3 + (73*w[{0, 0, 0, 5}])/12 - (10*w[{0, 0, 2, 3}])/3 + 22*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - (19*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 - (9*w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 - 20*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 12*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (115*w[{0, 0, 0, 0, 0, 5}])/2 + 20*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + 21*w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}],
 w[{0, 1, 1, 0, 3, 0}] -> -(uZeta[2]*uZeta[3])/4 - (11*uZeta[5])/160 - (73*uZeta[4]*w[{0, 1}])/60 - (5*uZeta[2]*w[{0, 3}])/12 + (281*w[{0, 5}])/7200 + (uZeta[3]*w[{0, 0, 2}])/4 - (13*w[{0, 3}]*w[{0, 0, 2}])/12 + (w[{0, 1}]*w[{0, 0, 4}])/2 + 4*uZeta[4]*w[{0, 0, 0, 1}] - 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] + (5*uZeta[2]*w[{0, 0, 0, 3}])/2 + (13*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (139*w[{0, 0, 0, 5}])/40 - (5*w[{0, 0, 2, 3}])/12 + (21*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + 66*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (1087*w[{0, 0, 0, 0, 0, 5}])/20 + (27*w[{0, 0, 0, 0, 1, 4}])/2 + 2*w[{0, 0, 0, 0, 2, 3}] - 3*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 1, 1, 0, 2}] -> (-77*uZeta[5])/240 - (7*uZeta[4]*w[{0, 1}])/30 - (421*w[{0, 5}])/3600 - (uZeta[3]*w[{0, 0, 2}])/4 + (w[{0, 3}]*w[{0, 0, 2}])/12 + 2*uZeta[4]*w[{0, 0, 0, 1}] - (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 - (49*w[{0, 0, 0, 5}])/20 + (7*w[{0, 0, 2, 3}])/6 - 9*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 12*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (307*w[{0, 0, 0, 0, 0, 5}])/10 - 10*w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 1, 1, 1, 1}] -> (53*uZeta[2]*uZeta[3])/144 + uZeta[5]/15 + (459*uZeta[4]*w[{0, 1}])/320 + (uZeta[3]*w[{0, 1}]^2)/24 - (19*uZeta[2]*w[{0, 1}]^3)/72 + w[{0, 1}]^5/120 - (191*uZeta[2]*w[{0, 3}])/2160 + (w[{0, 1}]^2*w[{0, 3}])/72 + w[{0, 5}]/75 + (uZeta[3]*w[{0, 0, 2}])/24 + (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/24 + (w[{0, 1}]^3*w[{0, 0, 2}])/12 + (w[{0, 3}]*w[{0, 0, 2}])/72 + (5*w[{0, 1}]*w[{0, 0, 2}]^2)/8 + (w[{0, 1}]*w[{0, 0, 4}])/8 - (35*uZeta[4]*w[{0, 0, 0, 1}])/6 + 2*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (5*uZeta[2]*w[{0, 0, 0, 3}])/72 - (w[{0, 1}]^2*w[{0, 0, 0, 3}])/12 - (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/12 + (4*w[{0, 0, 0, 5}])/15 - w[{0, 0, 2, 3}]/6 - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + w[{0, 3}]*w[{0, 0, 0, 0, 2}] - (5*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 - w[{0, 1}]*w[{0, 0, 0, 2, 2}] + 16*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 4*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (13*w[{0, 0, 0, 0, 0, 5}])/5 - 8*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + w[{0, 0, 0, 0, 1, 4}],
 w[{0, 1, 1, 1, 2, 0}] -> (-71*uZeta[5])/240 + (11*uZeta[4]*w[{0, 1}])/20 - (5*uZeta[2]*w[{0, 3}])/12 + (17*w[{0, 5}])/3600 + (uZeta[3]*w[{0, 0, 2}])/4 - (3*w[{0, 3}]*w[{0, 0, 2}])/4 + (w[{0, 1}]*w[{0, 0, 4}])/4 - (9*uZeta[4]*w[{0, 0, 0, 1}])/2 - (3*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 + 2*uZeta[2]*w[{0, 0, 0, 3}] + (9*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (63*w[{0, 0, 0, 5}])/20 - (5*w[{0, 0, 2, 3}])/6 + 8*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 24*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (379*w[{0, 0, 0, 0, 0, 5}])/10 + 10*w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 0, 2, 3}] - w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 1, 2, 0, 1}] -> (uZeta[2]*uZeta[3])/2 - (211*uZeta[5])/480 + (67*uZeta[4]*w[{0, 1}])/240 + (139*uZeta[2]*w[{0, 3}])/720 + (w[{0, 1}]^2*w[{0, 3}])/2 - (551*w[{0, 5}])/2400 + (uZeta[3]*w[{0, 0, 2}])/4 + (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + (w[{0, 3}]*w[{0, 0, 2}])/6 - (7*w[{0, 1}]*w[{0, 0, 2}]^2)/4 - (3*uZeta[4]*w[{0, 0, 0, 1}])/2 - 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - 4*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (7*uZeta[2]*w[{0, 0, 0, 3}])/3 + (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 - (841*w[{0, 0, 0, 5}])/120 + (49*w[{0, 0, 2, 3}])/12 - 26*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + (11*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 + (11*w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 + 62*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 20*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (1191*w[{0, 0, 0, 0, 0, 5}])/20 - 12*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - (47*w[{0, 0, 0, 0, 1, 4}])/2 + 3*w[{0, 0, 0, 0, 2, 3}] - w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 1, 2, 1, 0}] -> -(uZeta[2]*uZeta[3])/4 + (5*uZeta[5])/8 + (11*uZeta[4]*w[{0, 1}])/12 + (11*uZeta[2]*w[{0, 3}])/12 + (7*w[{0, 5}])/72 - uZeta[3]*w[{0, 0, 2}] + (3*w[{0, 3}]*w[{0, 0, 2}])/2 - (3*w[{0, 1}]*w[{0, 0, 4}])/4 - (5*uZeta[4]*w[{0, 0, 0, 1}])/2 + (9*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (11*uZeta[2]*w[{0, 0, 0, 3}])/2 - 12*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - 5*w[{0, 0, 0, 5}] + (2*w[{0, 0, 2, 3}])/3 - 7*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 60*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 65*w[{0, 0, 0, 0, 0, 5}] - 14*w[{0, 0, 0, 0, 1, 4}] - 4*w[{0, 0, 0, 0, 2, 3}] + 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 2, 0, 0, 2}] -> (13*uZeta[5])/240 + (11*uZeta[4]*w[{0, 1}])/10 + (259*w[{0, 5}])/3600 - (uZeta[3]*w[{0, 0, 2}])/2 + (w[{0, 3}]*w[{0, 0, 2}])/3 - 3*uZeta[4]*w[{0, 0, 0, 1}] - 2*w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (203*w[{0, 0, 0, 5}])/60 - 2*w[{0, 0, 2, 3}] + 10*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 72*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (243*w[{0, 0, 0, 0, 0, 5}])/10 + 10*w[{0, 0, 0, 0, 1, 4}] - 2*w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 2, 0, 1, 1}] -> (-41*uZeta[2]*uZeta[3])/48 + (37*uZeta[5])/80 - (1549*uZeta[4]*w[{0, 1}])/720 - (uZeta[3]*w[{0, 1}]^2)/8 - (uZeta[2]*w[{0, 3}])/9 + (7*w[{0, 1}]^2*w[{0, 3}])/24 + (773*w[{0, 5}])/3600 - (uZeta[3]*w[{0, 0, 2}])/8 - (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/6 + (w[{0, 3}]*w[{0, 0, 2}])/24 + 2*w[{0, 1}]*w[{0, 0, 2}]^2 + (w[{0, 1}]*w[{0, 0, 4}])/3 + 12*uZeta[4]*w[{0, 0, 0, 1}] - w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] + (59*uZeta[2]*w[{0, 0, 0, 3}])/24 - (5*w[{0, 1}]^2*w[{0, 0, 0, 3}])/4 - (5*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/4 + (301*w[{0, 0, 0, 5}])/60 - 3*w[{0, 0, 2, 3}] + 5*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + (37*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - 4*w[{0, 1}]*w[{0, 0, 0, 0, 4}] - 4*w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 54*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 30*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (481*w[{0, 0, 0, 0, 0, 5}])/10 + 18*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + 18*w[{0, 0, 0, 0, 1, 4}],
 w[{0, 1, 2, 0, 2, 0}] -> -(uZeta[2]*uZeta[3])/4 - uZeta[5]/6 - (8*uZeta[4]*w[{0, 1}])/3 - (2*uZeta[2]*w[{0, 3}])/3 - (7*w[{0, 5}])/90 + (uZeta[3]*w[{0, 0, 2}])/2 - 2*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 1}]*w[{0, 0, 4}])/2 + 10*uZeta[4]*w[{0, 0, 0, 1}] + 3*w[{0, 0, 4}]*w[{0, 0, 0, 1}] + (7*uZeta[2]*w[{0, 0, 0, 3}])/2 + 9*w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (19*w[{0, 0, 0, 5}])/6 + 9*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 120*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 53*w[{0, 0, 0, 0, 0, 5}] + 9*w[{0, 0, 0, 0, 1, 4}] + 8*w[{0, 0, 0, 0, 2, 3}] - 4*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 2, 1, 0, 1}] -> (2*uZeta[2]*uZeta[3])/3 + uZeta[5]/240 - (37*uZeta[4]*w[{0, 1}])/180 - (67*uZeta[2]*w[{0, 3}])/120 - w[{0, 1}]^2*w[{0, 3}] + (61*w[{0, 5}])/1200 - (uZeta[3]*w[{0, 0, 2}])/2 - 5*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] + (w[{0, 3}]*w[{0, 0, 2}])/6 - 2*w[{0, 1}]*w[{0, 0, 2}]^2 - (5*w[{0, 1}]*w[{0, 0, 4}])/6 - (17*uZeta[4]*w[{0, 0, 0, 1}])/3 + 6*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] + 12*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 4}]*w[{0, 0, 0, 1}] + 4*uZeta[2]*w[{0, 0, 0, 3}] - w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (37*w[{0, 0, 0, 5}])/20 - (3*w[{0, 0, 2, 3}])/2 + 8*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 4*w[{0, 1}]*w[{0, 0, 0, 0, 4}] - 2*w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 84*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 16*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (41*w[{0, 0, 0, 0, 0, 5}])/10 - 16*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + 5*w[{0, 0, 0, 0, 1, 4}] - 4*w[{0, 0, 0, 0, 2, 3}] + 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 1, 3, 0, 0, 1}] -> (uZeta[2]*uZeta[3])/12 + (41*uZeta[5])/480 + (89*uZeta[4]*w[{0, 1}])/360 - (289*uZeta[2]*w[{0, 3}])/720 + (w[{0, 1}]^2*w[{0, 3}])/2 + (1463*w[{0, 5}])/7200 - (uZeta[3]*w[{0, 0, 2}])/4 - (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + (w[{0, 3}]*w[{0, 0, 2}])/3 - (3*w[{0, 1}]*w[{0, 0, 2}]^2)/2 - (5*w[{0, 1}]*w[{0, 0, 4}])/3 - (10*uZeta[4]*w[{0, 0, 0, 1}])/3 - 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] + 4*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 4}]*w[{0, 0, 0, 1}] + (23*uZeta[2]*w[{0, 0, 0, 3}])/6 - (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (137*w[{0, 0, 0, 5}])/40 - (29*w[{0, 0, 2, 3}])/12 + 13*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + (21*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 + w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 62*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 22*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (561*w[{0, 0, 0, 0, 0, 5}])/20 - 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + (27*w[{0, 0, 0, 0, 1, 4}])/2 - 3*w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{0, 2, 0, 0, 0, 3}] -> (uZeta[4]*w[{0, 1}])/4 + (uZeta[2]*w[{0, 3}])/4 - w[{0, 5}]/18 + (5*w[{0, 3}]*w[{0, 0, 2}])/6 - 3*uZeta[4]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 0, 0, 3}] - 2*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - w[{0, 0, 0, 5}]/2 + w[{0, 0, 2, 3}]/3 - 7*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 30*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 6*w[{0, 0, 0, 0, 0, 5}] - 3*w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 0, 2, 3}],
 w[{0, 2, 0, 0, 1, 2}] -> -(uZeta[2]*uZeta[3])/4 - (7*uZeta[5])/240 - (2*uZeta[4]*w[{0, 1}])/5 - (511*w[{0, 5}])/3600 - (uZeta[3]*w[{0, 0, 2}])/4 - (7*w[{0, 3}]*w[{0, 0, 2}])/12 - 3*uZeta[4]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 0, 0, 3}])/2 + (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 - (167*w[{0, 0, 0, 5}])/60 + 2*w[{0, 0, 2, 3}] - 7*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 108*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (207*w[{0, 0, 0, 0, 0, 5}])/10 - 10*w[{0, 0, 0, 0, 1, 4}] + 2*w[{0, 0, 0, 0, 2, 3}] - w[{0, 0, 0, 1, 2, 2}],
 w[{0, 2, 0, 0, 2, 1}] -> (uZeta[2]*uZeta[3])/4 + uZeta[5]/16 + (89*uZeta[4]*w[{0, 1}])/40 - (13*uZeta[2]*w[{0, 3}])/60 + (139*w[{0, 5}])/720 - (uZeta[3]*w[{0, 0, 2}])/4 - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] + (w[{0, 3}]*w[{0, 0, 2}])/4 - (3*w[{0, 1}]*w[{0, 0, 2}]^2)/2 + (w[{0, 1}]*w[{0, 0, 4}])/4 - 15*uZeta[4]*w[{0, 0, 0, 1}] + 6*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (3*uZeta[2]*w[{0, 0, 0, 3}])/2 + (3*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (47*w[{0, 0, 0, 5}])/12 - (5*w[{0, 0, 2, 3}])/2 + 12*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - (3*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 - (65*w[{0, 0, 0, 0, 0, 5}])/2 - 6*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + 15*w[{0, 0, 0, 0, 1, 4}] - 4*w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{0, 2, 0, 0, 3, 0}] -> uZeta[5]/20 + (13*uZeta[4]*w[{0, 1}])/20 - (uZeta[2]*w[{0, 3}])/2 + (23*w[{0, 5}])/300 - w[{0, 3}]*w[{0, 0, 2}] - 3*uZeta[4]*w[{0, 0, 0, 1}] + 3*uZeta[2]*w[{0, 0, 0, 3}] + 6*w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (11*w[{0, 0, 0, 5}])/5 - w[{0, 0, 2, 3}] + 9*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 18*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (106*w[{0, 0, 0, 0, 0, 5}])/5 + 9*w[{0, 0, 0, 0, 1, 4}] - 3*w[{0, 0, 0, 0, 2, 3}],
 w[{0, 2, 0, 1, 0, 2}] -> (uZeta[2]*uZeta[3])/4 - uZeta[5]/12 + (5*uZeta[4]*w[{0, 1}])/6 + (uZeta[2]*w[{0, 3}])/4 - (2*w[{0, 5}])/45 + (uZeta[3]*w[{0, 0, 2}])/2 + (5*w[{0, 3}]*w[{0, 0, 2}])/6 - 8*uZeta[4]*w[{0, 0, 0, 1}] - (3*uZeta[2]*w[{0, 0, 0, 3}])/2 - 5*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (7*w[{0, 0, 0, 5}])/3 + w[{0, 0, 2, 3}] - 8*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 60*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 22*w[{0, 0, 0, 0, 0, 5}] - 8*w[{0, 0, 0, 0, 1, 4}] + 2*w[{0, 0, 0, 0, 2, 3}],
 w[{0, 2, 0, 1, 1, 1}] -> (9*uZeta[2]*uZeta[3])/16 - (51*uZeta[5])/160 + (889*uZeta[4]*w[{0, 1}])/180 - (uZeta[3]*w[{0, 1}]^2)/8 - (uZeta[2]*w[{0, 1}]^3)/2 + (9*uZeta[2]*w[{0, 3}])/80 + (w[{0, 1}]^2*w[{0, 3}])/24 - (73*w[{0, 5}])/2400 - (7*uZeta[3]*w[{0, 0, 2}])/24 + (11*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/6 - (w[{0, 1}]^3*w[{0, 0, 2}])/3 - (w[{0, 3}]*w[{0, 0, 2}])/72 - (11*w[{0, 1}]*w[{0, 0, 2}]^2)/4 - (w[{0, 1}]*w[{0, 0, 4}])/2 - (191*uZeta[4]*w[{0, 0, 0, 1}])/6 + 2*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 0, 1}] - 6*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (23*uZeta[2]*w[{0, 0, 0, 3}])/8 - (w[{0, 1}]^2*w[{0, 0, 0, 3}])/4 + (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/12 - (83*w[{0, 0, 0, 5}])/120 + (5*w[{0, 0, 2, 3}])/12 - 13*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] - (5*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + (19*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 + (7*w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 + 76*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 26*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (133*w[{0, 0, 0, 0, 0, 5}])/20 - 18*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - (5*w[{0, 0, 0, 0, 1, 4}])/2,
 w[{0, 2, 0, 1, 2, 0}] -> (uZeta[2]*uZeta[3])/2 - uZeta[5]/20 + (11*uZeta[4]*w[{0, 1}])/10 - (7*uZeta[2]*w[{0, 3}])/12 - (41*w[{0, 5}])/225 + (uZeta[3]*w[{0, 0, 2}])/2 - (4*w[{0, 3}]*w[{0, 0, 2}])/3 - 3*uZeta[4]*w[{0, 0, 0, 1}] + 3*uZeta[2]*w[{0, 0, 0, 3}] + 5*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (71*w[{0, 0, 0, 5}])/30 + (3*w[{0, 0, 2, 3}])/2 - 4*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 72*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (176*w[{0, 0, 0, 0, 0, 5}])/5 - 10*w[{0, 0, 0, 0, 1, 4}] - 6*w[{0, 0, 0, 0, 2, 3}] + 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 2, 0, 2, 0, 1}] -> (uZeta[2]*uZeta[3])/4 - (7*uZeta[5])/30 + (31*uZeta[4]*w[{0, 1}])/12 + (23*uZeta[2]*w[{0, 3}])/60 - (89*w[{0, 5}])/300 + uZeta[3]*w[{0, 0, 2}] + (20*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (w[{0, 3}]*w[{0, 0, 2}])/3 + 2*w[{0, 1}]*w[{0, 0, 2}]^2 - 5*uZeta[4]*w[{0, 0, 0, 1}] - 16*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (7*uZeta[2]*w[{0, 0, 0, 3}])/2 + 2*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (94*w[{0, 0, 0, 5}])/15 + (25*w[{0, 0, 2, 3}])/6 - 25*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 2*w[{0, 1}]*w[{0, 0, 0, 0, 4}] + 4*w[{0, 1}]*w[{0, 0, 0, 2, 2}] + 104*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 24*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (243*w[{0, 0, 0, 0, 0, 5}])/5 - 23*w[{0, 0, 0, 0, 1, 4}] + 6*w[{0, 0, 0, 0, 2, 3}] - 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 2, 1, 0, 0, 2}] -> -uZeta[5]/80 - (41*uZeta[4]*w[{0, 1}])/60 - (uZeta[2]*w[{0, 3}])/6 - (179*w[{0, 5}])/3600 + (uZeta[3]*w[{0, 0, 2}])/4 - (3*w[{0, 3}]*w[{0, 0, 2}])/4 + 2*uZeta[4]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 0, 0, 3}] + (9*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 - (133*w[{0, 0, 0, 5}])/60 + (3*w[{0, 0, 2, 3}])/2 - 6*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 42*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (133*w[{0, 0, 0, 0, 0, 5}])/10 - 6*w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 0, 2, 3}] - w[{0, 0, 0, 1, 2, 2}],
 w[{0, 2, 1, 0, 1, 1}] -> (-9*uZeta[2]*uZeta[3])/16 + (27*uZeta[5])/40 - (553*uZeta[4]*w[{0, 1}])/720 + (uZeta[3]*w[{0, 1}]^2)/8 + (37*uZeta[2]*w[{0, 3}])/60 - (7*w[{0, 1}]^2*w[{0, 3}])/24 + (37*w[{0, 5}])/450 + (3*uZeta[3]*w[{0, 0, 2}])/8 + (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/2 + (5*w[{0, 3}]*w[{0, 0, 2}])/24 + (7*w[{0, 1}]*w[{0, 0, 2}]^2)/2 + (w[{0, 1}]*w[{0, 0, 4}])/2 + (38*uZeta[4]*w[{0, 0, 0, 1}])/3 + w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - 4*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (55*uZeta[2]*w[{0, 0, 0, 3}])/24 + (5*w[{0, 1}]^2*w[{0, 0, 0, 3}])/4 - (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/4 + (27*w[{0, 0, 0, 5}])/10 - (11*w[{0, 0, 2, 3}])/6 - 5*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + (17*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - (11*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 - 5*w[{0, 1}]*w[{0, 0, 0, 2, 2}] + 2*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 6*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (91*w[{0, 0, 0, 0, 0, 5}])/5 + 22*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + 8*w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{0, 2, 1, 1, 0, 1}] -> (uZeta[2]*uZeta[3])/4 - (337*uZeta[5])/480 + (683*uZeta[4]*w[{0, 1}])/240 - (101*uZeta[2]*w[{0, 3}])/720 + (w[{0, 1}]^2*w[{0, 3}])/2 - (851*w[{0, 5}])/7200 + (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (7*w[{0, 3}]*w[{0, 0, 2}])/12 - (7*w[{0, 1}]*w[{0, 0, 2}]^2)/4 - (35*uZeta[4]*w[{0, 0, 0, 1}])/2 - 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - 4*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (11*uZeta[2]*w[{0, 0, 0, 3}])/6 + 2*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (307*w[{0, 0, 0, 5}])/120 + (9*w[{0, 0, 2, 3}])/4 - 9*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + (11*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 + (11*w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 + 74*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 20*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (217*w[{0, 0, 0, 0, 0, 5}])/20 - 12*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - (15*w[{0, 0, 0, 0, 1, 4}])/2 + 2*w[{0, 0, 0, 0, 2, 3}] - 2*w[{0, 0, 0, 1, 2, 2}],
 w[{0, 2, 2, 0, 0, 1}] -> (23*uZeta[5])/240 + (uZeta[4]*w[{0, 1}])/120 + (uZeta[2]*w[{0, 3}])/20 + (359*w[{0, 5}])/3600 - (uZeta[3]*w[{0, 0, 2}])/4 - (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + (5*w[{0, 3}]*w[{0, 0, 2}])/12 - (w[{0, 1}]*w[{0, 0, 2}]^2)/2 - 2*uZeta[4]*w[{0, 0, 0, 1}] + 4*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (5*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (51*w[{0, 0, 0, 5}])/20 - (11*w[{0, 0, 2, 3}])/6 + 9*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - (w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 - w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 32*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 6*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (173*w[{0, 0, 0, 0, 0, 5}])/10 + 8*w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{0, 3, 0, 0, 0, 2}] -> (uZeta[4]*w[{0, 1}])/4 + w[{0, 5}]/45 - (w[{0, 3}]*w[{0, 0, 2}])/3 - 3*uZeta[4]*w[{0, 0, 0, 1}] + 2*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (7*w[{0, 0, 0, 5}])/6 + w[{0, 0, 2, 3}]/3 - 3*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 30*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 10*w[{0, 0, 0, 0, 0, 5}] - 3*w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 0, 2, 3}],
 w[{0, 3, 0, 0, 1, 1}] -> (uZeta[2]*uZeta[3])/12 - (7*uZeta[5])/480 + (341*uZeta[4]*w[{0, 1}])/240 + (7*uZeta[2]*w[{0, 3}])/72 - (w[{0, 1}]^2*w[{0, 3}])/4 - (181*w[{0, 5}])/7200 + uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 2}])/4 - (w[{0, 1}]*w[{0, 0, 2}]^2)/4 - (w[{0, 1}]*w[{0, 0, 4}])/3 - 7*uZeta[4]*w[{0, 0, 0, 1}] - (19*uZeta[2]*w[{0, 0, 0, 3}])/12 + (3*w[{0, 1}]^2*w[{0, 0, 0, 3}])/2 + (3*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 0, 5}]/40 + w[{0, 0, 2, 3}]/12 - 6*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + (9*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 + (w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 + 34*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 18*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (7*w[{0, 0, 0, 0, 0, 5}])/20 - 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - w[{0, 0, 0, 0, 1, 4}]/2,
 w[{0, 3, 0, 1, 0, 1}] -> (-7*uZeta[5])/160 + (367*uZeta[4]*w[{0, 1}])/360 + (14*uZeta[2]*w[{0, 3}])/45 - (27*w[{0, 5}])/800 + (uZeta[3]*w[{0, 0, 2}])/4 + (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (w[{0, 3}]*w[{0, 0, 2}])/12 + (w[{0, 1}]*w[{0, 0, 2}]^2)/2 + (5*w[{0, 1}]*w[{0, 0, 4}])/6 - (11*uZeta[4]*w[{0, 0, 0, 1}])/3 - 4*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (8*uZeta[2]*w[{0, 0, 0, 3}])/3 + (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 - (17*w[{0, 0, 0, 5}])/40 + (3*w[{0, 0, 2, 3}])/4 - (3*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - (9*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 + w[{0, 1}]*w[{0, 0, 0, 2, 2}] + 42*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 16*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (59*w[{0, 0, 0, 0, 0, 5}])/20 - w[{0, 0, 0, 0, 1, 4}]/2 - w[{0, 0, 0, 1, 2, 2}],
 w[{0, 3, 1, 0, 0, 1}] -> -(uZeta[2]*uZeta[3])/12 + uZeta[5]/48 + (uZeta[4]*w[{0, 1}])/720 + (59*uZeta[2]*w[{0, 3}])/240 - (w[{0, 1}]^2*w[{0, 3}])/2 - (31*w[{0, 5}])/240 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (w[{0, 3}]*w[{0, 0, 2}])/4 + (5*w[{0, 1}]*w[{0, 0, 2}]^2)/4 + (5*w[{0, 1}]*w[{0, 0, 4}])/4 - (uZeta[4]*w[{0, 0, 0, 1}])/3 + 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (5*uZeta[2]*w[{0, 0, 0, 3}])/2 - w[{0, 0, 0, 5}]/4 + w[{0, 0, 2, 3}]/2 - (5*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - (33*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 - (3*w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 + 20*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 14*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (11*w[{0, 0, 0, 0, 0, 5}])/2 + 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - 4*w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 0, 2, 3}],
 w[{0, 4, 0, 0, 0, 1}] -> (43*uZeta[4]*w[{0, 1}])/180 + (7*uZeta[2]*w[{0, 3}])/45 - (23*w[{0, 5}])/360 + (2*w[{0, 1}]*w[{0, 0, 4}])/3 - (4*uZeta[4]*w[{0, 0, 0, 1}])/3 - w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (4*uZeta[2]*w[{0, 0, 0, 3}])/3 + w[{0, 0, 0, 5}]/6 + w[{0, 0, 2, 3}]/6 - w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 4*w[{0, 1}]*w[{0, 0, 0, 0, 4}] + 8*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 8*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - w[{0, 0, 0, 0, 1, 4}],
 w[{1, 0, 0, 0, 0, 4}] -> (7*uZeta[4]*w[{0, 1}])/180 + (7*uZeta[2]*w[{0, 3}])/180 - (7*w[{0, 5}])/360 + (w[{0, 1}]*w[{0, 0, 4}])/6 - (uZeta[4]*w[{0, 0, 0, 1}])/3 - w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 0, 0, 3}])/3 + w[{0, 0, 0, 5}]/6 - w[{0, 1}]*w[{0, 0, 0, 0, 4}] + 2*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - w[{0, 0, 0, 0, 0, 5}],
 w[{1, 0, 0, 0, 1, 3}] -> -(uZeta[2]*uZeta[3])/12 - (269*uZeta[4]*w[{0, 1}])/240 + (uZeta[2]*w[{0, 3}])/12 - (2*w[{0, 5}])/45 + (w[{0, 1}]*w[{0, 0, 2}]^2)/4 + (w[{0, 1}]*w[{0, 0, 4}])/3 + (17*uZeta[4]*w[{0, 0, 0, 1}])/2 - (3*w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (uZeta[2]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 2, 3}]/6 - w[{0, 3}]*w[{0, 0, 0, 0, 2}] - (9*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 - (w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 - 40*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + w[{0, 0, 0, 0, 0, 5}] + 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - w[{0, 0, 0, 0, 1, 4}],
 w[{1, 0, 0, 0, 2, 2}] -> -(uZeta[2]*uZeta[3])/12 - (14*uZeta[4]*w[{0, 1}])/9 - (13*uZeta[2]*w[{0, 3}])/180 + w[{0, 5}]/40 - (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (w[{0, 1}]*w[{0, 0, 4}])/12 + (77*uZeta[4]*w[{0, 0, 0, 1}])/6 + 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 + (5*uZeta[2]*w[{0, 0, 0, 3}])/6 + w[{0, 3}]*w[{0, 0, 0, 0, 2}] - w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 70*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 6*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - w[{0, 0, 0, 0, 0, 5}] + 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}],
 w[{1, 0, 0, 0, 3, 1}] -> -(uZeta[2]*uZeta[3])/12 - (43*uZeta[4]*w[{0, 1}])/24 - (71*uZeta[2]*w[{0, 3}])/360 + (w[{0, 1}]^2*w[{0, 3}])/3 + (13*w[{0, 5}])/180 - uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] + (w[{0, 3}]*w[{0, 0, 2}])/3 - (w[{0, 1}]*w[{0, 0, 2}]^2)/2 - (5*w[{0, 1}]*w[{0, 0, 4}])/12 + (65*uZeta[4]*w[{0, 0, 0, 1}])/6 - 2*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 + (8*uZeta[2]*w[{0, 0, 0, 3}])/3 - w[{0, 1}]^2*w[{0, 0, 0, 3}] - w[{0, 0, 2}]*w[{0, 0, 0, 3}] - w[{0, 0, 0, 5}] + w[{0, 0, 2, 3}]/6 + 4*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] - 2*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + (5*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 - 40*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 22*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + 7*w[{0, 0, 0, 0, 0, 5}] + 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - w[{0, 0, 0, 0, 1, 4}],
 w[{1, 0, 0, 1, 0, 3}] -> (uZeta[2]*uZeta[3])/6 - uZeta[5]/60 + (833*uZeta[4]*w[{0, 1}])/360 - (uZeta[2]*w[{0, 3}])/240 - (w[{0, 1}]^2*w[{0, 3}])/2 - (11*w[{0, 5}])/300 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (w[{0, 3}]*w[{0, 0, 2}])/4 + (w[{0, 1}]*w[{0, 0, 2}]^2)/2 + (w[{0, 1}]*w[{0, 0, 4}])/4 - (55*uZeta[4]*w[{0, 0, 0, 1}])/3 + 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 4}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 0, 0, 3}] + w[{0, 0, 0, 5}]/10 + (w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - (3*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 + 86*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 8*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (2*w[{0, 0, 0, 0, 0, 5}])/5 - 4*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 0, 2, 3}],
 w[{1, 0, 0, 1, 1, 2}] -> (uZeta[2]*uZeta[3])/4 - uZeta[5]/480 + (749*uZeta[4]*w[{0, 1}])/240 + (67*uZeta[2]*w[{0, 3}])/720 + (w[{0, 1}]^2*w[{0, 3}])/2 - (43*w[{0, 5}])/7200 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + (w[{0, 3}]*w[{0, 0, 2}])/4 - (5*w[{0, 1}]*w[{0, 0, 2}]^2)/4 - (w[{0, 1}]*w[{0, 0, 4}])/4 - (41*uZeta[4]*w[{0, 0, 0, 1}])/2 - 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (5*uZeta[2]*w[{0, 0, 0, 3}])/6 + (49*w[{0, 0, 0, 5}])/120 - w[{0, 0, 2, 3}]/4 - w[{0, 3}]*w[{0, 0, 0, 0, 2}] + (13*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 + (7*w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 + 82*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 8*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (59*w[{0, 0, 0, 0, 0, 5}])/20 - 6*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + w[{0, 0, 0, 0, 1, 4}]/2 + w[{0, 0, 0, 0, 2, 3}],
 w[{1, 0, 0, 1, 2, 1}] -> (uZeta[2]*uZeta[3])/8 + uZeta[5]/480 - (31*uZeta[4]*w[{0, 1}])/30 - (uZeta[3]*w[{0, 1}]^2)/4 - (331*uZeta[2]*w[{0, 3}])/720 - (7*w[{0, 1}]^2*w[{0, 3}])/12 + (263*w[{0, 5}])/7200 - (4*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (5*w[{0, 3}]*w[{0, 0, 2}])/12 - (w[{0, 1}]*w[{0, 0, 2}]^2)/2 - (w[{0, 1}]*w[{0, 0, 4}])/12 + (8*uZeta[4]*w[{0, 0, 0, 1}])/3 + 5*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] + 6*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - w[{0, 0, 4}]*w[{0, 0, 0, 1}] + (9*uZeta[2]*w[{0, 0, 0, 3}])/4 - (w[{0, 1}]^2*w[{0, 0, 0, 3}])/2 - (169*w[{0, 0, 0, 5}])/120 + (11*w[{0, 0, 2, 3}])/12 + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] - (w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 - 2*w[{0, 1}]*w[{0, 0, 0, 2, 2}] + 18*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 12*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (79*w[{0, 0, 0, 0, 0, 5}])/20 - 8*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - (3*w[{0, 0, 0, 0, 1, 4}])/2 - w[{0, 0, 0, 1, 2, 2}],
 w[{1, 0, 0, 2, 0, 2}] -> (uZeta[2]*uZeta[3])/4 - uZeta[5]/120 + (481*uZeta[4]*w[{0, 1}])/120 + (uZeta[2]*w[{0, 3}])/10 - (83*w[{0, 5}])/1800 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + (w[{0, 3}]*w[{0, 0, 2}])/6 - (w[{0, 1}]*w[{0, 0, 2}]^2)/2 + (w[{0, 1}]*w[{0, 0, 4}])/4 - 32*uZeta[4]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (3*uZeta[2]*w[{0, 0, 0, 3}])/2 - w[{0, 0, 2}]*w[{0, 0, 0, 3}] - w[{0, 0, 0, 5}]/30 - 2*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - (w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 + 2*w[{0, 1}]*w[{0, 0, 0, 2, 2}] + 148*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 12*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (11*w[{0, 0, 0, 0, 0, 5}])/5 - 6*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - 2*w[{0, 0, 0, 0, 1, 4}] + 2*w[{0, 0, 0, 0, 2, 3}],
 w[{1, 0, 0, 2, 1, 1}] -> (uZeta[2]*uZeta[3])/12 + (37*uZeta[5])/480 + (2683*uZeta[4]*w[{0, 1}])/360 - (uZeta[2]*w[{0, 1}]^3)/2 + (3*uZeta[2]*w[{0, 3}])/4 + (w[{0, 1}]^2*w[{0, 3}])/12 + (571*w[{0, 5}])/7200 - (uZeta[3]*w[{0, 0, 2}])/4 + (61*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/12 - (w[{0, 1}]^3*w[{0, 0, 2}])/2 + (w[{0, 3}]*w[{0, 0, 2}])/6 - (3*w[{0, 1}]*w[{0, 0, 2}]^2)/4 - (w[{0, 1}]*w[{0, 0, 4}])/4 - (487*uZeta[4]*w[{0, 0, 0, 1}])/12 + 3*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 0, 1}] - 2*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - 15*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (w[{0, 0, 4}]*w[{0, 0, 0, 1}])/2 - (77*uZeta[2]*w[{0, 0, 0, 3}])/12 + (w[{0, 1}]^2*w[{0, 0, 0, 3}])/2 + (487*w[{0, 0, 0, 5}])/120 - (29*w[{0, 0, 2, 3}])/12 - 23*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + (23*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + (9*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 + (3*w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 + 96*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 42*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (597*w[{0, 0, 0, 0, 0, 5}])/20 - 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + (23*w[{0, 0, 0, 0, 1, 4}])/2 - w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{1, 0, 0, 3, 0, 1}] -> (uZeta[2]*uZeta[3])/6 + uZeta[5]/30 + (2959*uZeta[4]*w[{0, 1}])/720 + (7*uZeta[2]*w[{0, 3}])/20 - (w[{0, 1}]^2*w[{0, 3}])/2 - w[{0, 5}]/100 + (7*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (w[{0, 3}]*w[{0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 0, 2}]^2)/4 - (w[{0, 1}]*w[{0, 0, 4}])/4 - (64*uZeta[4]*w[{0, 0, 0, 1}])/3 - 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + w[{0, 0, 4}]*w[{0, 0, 0, 1}] - (9*uZeta[2]*w[{0, 0, 0, 3}])/2 + 3*w[{0, 1}]^2*w[{0, 0, 0, 3}] + 3*w[{0, 0, 2}]*w[{0, 0, 0, 3}] + (14*w[{0, 0, 0, 5}])/5 - w[{0, 0, 2, 3}] - 12*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + 8*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + (9*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 + (3*w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 + 68*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 44*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (124*w[{0, 0, 0, 0, 0, 5}])/5 - 4*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + 8*w[{0, 0, 0, 0, 1, 4}] - 2*w[{0, 0, 0, 0, 2, 3}],
 w[{1, 0, 1, 0, 0, 3}] -> -(uZeta[2]*uZeta[3])/6 + uZeta[5]/60 - (491*uZeta[4]*w[{0, 1}])/240 - (13*uZeta[2]*w[{0, 3}])/144 + (w[{0, 1}]^2*w[{0, 3}])/2 - w[{0, 5}]/450 - (w[{0, 3}]*w[{0, 0, 2}])/4 - (w[{0, 1}]*w[{0, 0, 2}]^2)/4 + (w[{0, 1}]*w[{0, 0, 4}])/6 + 17*uZeta[4]*w[{0, 0, 0, 1}] - 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 0, 0, 3}])/3 + (7*w[{0, 0, 0, 5}])/30 + (3*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - (3*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 + (w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 - 86*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (12*w[{0, 0, 0, 0, 0, 5}])/5 + 4*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}],
 w[{1, 0, 1, 0, 1, 2}] -> (-5*uZeta[2]*uZeta[3])/6 + (37*uZeta[5])/480 - (2399*uZeta[4]*w[{0, 1}])/360 + (337*uZeta[2]*w[{0, 3}])/720 - (w[{0, 1}]^2*w[{0, 3}])/2 - (149*w[{0, 5}])/7200 - (uZeta[3]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + (w[{0, 3}]*w[{0, 0, 2}])/3 + (7*w[{0, 1}]*w[{0, 0, 2}]^2)/2 + (11*w[{0, 1}]*w[{0, 0, 4}])/12 + (151*uZeta[4]*w[{0, 0, 0, 1}])/3 + 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 0, 0, 3}])/3 - (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (67*w[{0, 0, 0, 5}])/120 - (5*w[{0, 0, 2, 3}])/12 + w[{0, 3}]*w[{0, 0, 0, 0, 2}] - (17*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 - 6*w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 254*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 8*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (43*w[{0, 0, 0, 0, 0, 5}])/20 + 20*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + w[{0, 0, 0, 0, 1, 4}]/2 - 2*w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{1, 0, 1, 0, 2, 1}] -> (-11*uZeta[2]*uZeta[3])/24 - (11*uZeta[5])/480 - (2023*uZeta[4]*w[{0, 1}])/360 + (uZeta[3]*w[{0, 1}]^2)/4 - (227*uZeta[2]*w[{0, 3}])/720 + (3*w[{0, 1}]^2*w[{0, 3}])/4 - (53*w[{0, 5}])/7200 - (4*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + (w[{0, 3}]*w[{0, 0, 2}])/12 + w[{0, 1}]*w[{0, 0, 2}]^2 + (w[{0, 1}]*w[{0, 0, 4}])/12 + (125*uZeta[4]*w[{0, 0, 0, 1}])/3 - 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (41*uZeta[2]*w[{0, 0, 0, 3}])/12 - (3*w[{0, 1}]^2*w[{0, 0, 0, 3}])/2 - 2*w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (181*w[{0, 0, 0, 5}])/120 + w[{0, 0, 2, 3}]/4 + 6*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] - 4*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - 2*w[{0, 1}]*w[{0, 0, 0, 0, 4}] - 3*w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 178*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 36*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (411*w[{0, 0, 0, 0, 0, 5}])/20 + 16*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - (11*w[{0, 0, 0, 0, 1, 4}])/2 + w[{0, 0, 0, 1, 2, 2}],
 w[{1, 0, 1, 1, 0, 2}] -> (5*uZeta[2]*uZeta[3])/6 - (7*uZeta[5])/80 + (253*uZeta[4]*w[{0, 1}])/720 - (19*uZeta[2]*w[{0, 3}])/90 + (97*w[{0, 5}])/3600 + (uZeta[3]*w[{0, 0, 2}])/4 - (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (w[{0, 3}]*w[{0, 0, 2}])/4 - (11*w[{0, 1}]*w[{0, 0, 2}]^2)/4 - (5*w[{0, 1}]*w[{0, 0, 4}])/12 - (uZeta[4]*w[{0, 0, 0, 1}])/3 + 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 0, 0, 3}])/3 + (3*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 - (11*w[{0, 0, 0, 5}])/60 + (2*w[{0, 0, 2, 3}])/3 + (19*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 + (9*w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 + 44*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 12*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (129*w[{0, 0, 0, 0, 0, 5}])/10 - 20*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + 2*w[{0, 0, 0, 0, 1, 4}] + 2*w[{0, 0, 0, 0, 2, 3}] - 2*w[{0, 0, 0, 1, 2, 2}],
 w[{1, 0, 1, 1, 1, 1}] -> (-265*uZeta[2]*uZeta[3])/144 - uZeta[5]/3 - (459*uZeta[4]*w[{0, 1}])/64 - (5*uZeta[3]*w[{0, 1}]^2)/24 + (95*uZeta[2]*w[{0, 1}]^3)/72 - w[{0, 1}]^5/24 + (191*uZeta[2]*w[{0, 3}])/432 - (5*w[{0, 1}]^2*w[{0, 3}])/72 - w[{0, 5}]/15 - (5*uZeta[3]*w[{0, 0, 2}])/24 - (25*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/24 - (5*w[{0, 1}]^3*w[{0, 0, 2}])/12 - (5*w[{0, 3}]*w[{0, 0, 2}])/72 - (25*w[{0, 1}]*w[{0, 0, 2}]^2)/8 - (5*w[{0, 1}]*w[{0, 0, 4}])/8 + (175*uZeta[4]*w[{0, 0, 0, 1}])/6 - 10*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 0, 1}] - 10*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (25*uZeta[2]*w[{0, 0, 0, 3}])/72 + (5*w[{0, 1}]^2*w[{0, 0, 0, 3}])/12 + (5*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/12 - (4*w[{0, 0, 0, 5}])/3 + (5*w[{0, 0, 2, 3}])/6 + 10*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] - 5*w[{0, 3}]*w[{0, 0, 0, 0, 2}] + (25*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 + 5*w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 80*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 20*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + 13*w[{0, 0, 0, 0, 0, 5}] + 40*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - 5*w[{0, 0, 0, 0, 1, 4}],
 w[{1, 0, 1, 2, 0, 1}] -> (uZeta[2]*uZeta[3])/24 - uZeta[5]/20 + (79*uZeta[4]*w[{0, 1}])/20 + (uZeta[3]*w[{0, 1}]^2)/4 + (71*uZeta[2]*w[{0, 3}])/180 - (7*w[{0, 1}]^2*w[{0, 3}])/12 - (19*w[{0, 5}])/900 + (uZeta[3]*w[{0, 0, 2}])/4 + (10*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (7*w[{0, 3}]*w[{0, 0, 2}])/12 + (3*w[{0, 1}]*w[{0, 0, 2}]^2)/2 + (w[{0, 1}]*w[{0, 0, 4}])/6 - (46*uZeta[4]*w[{0, 0, 0, 1}])/3 + 2*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - 4*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (17*uZeta[2]*w[{0, 0, 0, 3}])/4 + (5*w[{0, 1}]^2*w[{0, 0, 0, 3}])/2 + (5*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + (32*w[{0, 0, 0, 5}])/15 - (2*w[{0, 0, 2, 3}])/3 - 10*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + 7*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - (3*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 - w[{0, 1}]*w[{0, 0, 0, 2, 2}] + 68*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 36*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (94*w[{0, 0, 0, 0, 0, 5}])/5 + 4*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + 6*w[{0, 0, 0, 0, 1, 4}] - 2*w[{0, 0, 0, 0, 2, 3}],
 w[{1, 0, 2, 0, 0, 2}] -> -(uZeta[2]*uZeta[3])/4 + uZeta[5]/120 - (123*uZeta[4]*w[{0, 1}])/40 + (2*uZeta[2]*w[{0, 3}])/15 - (13*w[{0, 5}])/450 + (uZeta[3]*w[{0, 0, 2}])/4 + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 2}])/12 + (3*w[{0, 1}]*w[{0, 0, 2}]^2)/2 - (w[{0, 1}]*w[{0, 0, 4}])/4 + 27*uZeta[4]*w[{0, 0, 0, 1}] - 6*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 0, 0, 3}])/2 + (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 0, 5}]/30 - w[{0, 3}]*w[{0, 0, 0, 0, 2}] + (3*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 - 138*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + (4*w[{0, 0, 0, 0, 0, 5}])/5 + 6*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 0, 2, 3}],
 w[{1, 0, 2, 0, 1, 1}] -> (-13*uZeta[2]*uZeta[3])/48 - (29*uZeta[5])/160 - (4283*uZeta[4]*w[{0, 1}])/360 + (3*uZeta[3]*w[{0, 1}]^2)/8 + (3*uZeta[2]*w[{0, 1}]^3)/2 - (607*uZeta[2]*w[{0, 3}])/720 - (w[{0, 1}]^2*w[{0, 3}])/8 - (1481*w[{0, 5}])/7200 + (5*uZeta[3]*w[{0, 0, 2}])/8 - (43*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/6 + w[{0, 1}]^3*w[{0, 0, 2}] - (5*w[{0, 3}]*w[{0, 0, 2}])/24 + (11*w[{0, 1}]*w[{0, 0, 2}]^2)/4 + (2*w[{0, 1}]*w[{0, 0, 4}])/3 + (425*uZeta[4]*w[{0, 0, 0, 1}])/6 - 6*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 0, 1}] + 22*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (203*uZeta[2]*w[{0, 0, 0, 3}])/24 + (3*w[{0, 1}]^2*w[{0, 0, 0, 3}])/4 + (5*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/4 - (677*w[{0, 0, 0, 5}])/120 + (43*w[{0, 0, 2, 3}])/12 + 39*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] - (39*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - (19*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 - (3*w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 - 176*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 54*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (927*w[{0, 0, 0, 0, 0, 5}])/20 + 14*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - (37*w[{0, 0, 0, 0, 1, 4}])/2 + w[{0, 0, 0, 0, 2, 3}] - w[{0, 0, 0, 1, 2, 2}],
 w[{1, 1, 0, 0, 0, 3}] -> (uZeta[2]*uZeta[3])/12 + (119*uZeta[4]*w[{0, 1}])/90 + (5*uZeta[2]*w[{0, 3}])/48 - (w[{0, 1}]^2*w[{0, 3}])/6 + w[{0, 5}]/180 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 + (w[{0, 3}]*w[{0, 0, 2}])/12 - (w[{0, 1}]*w[{0, 0, 4}])/6 - 9*uZeta[4]*w[{0, 0, 0, 1}] + w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - (5*uZeta[2]*w[{0, 0, 0, 3}])/12 + (w[{0, 1}]^2*w[{0, 0, 0, 3}])/2 + (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 0, 5}]/3 - w[{0, 0, 2, 3}]/6 - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + (w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + w[{0, 1}]*w[{0, 0, 0, 0, 4}] + 40*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 6*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - 3*w[{0, 0, 0, 0, 0, 5}] - 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + w[{0, 0, 0, 0, 1, 4}],
 w[{1, 1, 0, 0, 1, 2}] -> (5*uZeta[2]*uZeta[3])/48 - (3*uZeta[5])/80 + (131*uZeta[4]*w[{0, 1}])/180 + (uZeta[3]*w[{0, 1}]^2)/8 - (7*uZeta[2]*w[{0, 3}])/72 + (w[{0, 1}]^2*w[{0, 3}])/24 - (7*w[{0, 5}])/3600 + (uZeta[3]*w[{0, 0, 2}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/6 - (5*w[{0, 3}]*w[{0, 0, 2}])/24 - (w[{0, 1}]*w[{0, 0, 2}]^2)/4 - (w[{0, 1}]*w[{0, 0, 4}])/6 - 6*uZeta[4]*w[{0, 0, 0, 1}] - w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 0, 0, 3}])/8 + (w[{0, 1}]^2*w[{0, 0, 0, 3}])/4 + (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/4 + w[{0, 0, 0, 5}]/60 - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + (w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + (5*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 + (w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 + 36*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - w[{0, 0, 0, 0, 0, 5}]/10,
 w[{1, 1, 0, 0, 2, 1}] -> (uZeta[2]*uZeta[3])/12 - uZeta[5]/15 - (2971*uZeta[4]*w[{0, 1}])/720 + (uZeta[2]*w[{0, 1}]^3)/2 - (29*uZeta[2]*w[{0, 3}])/80 - (w[{0, 1}]^2*w[{0, 3}])/6 - (169*w[{0, 5}])/1800 + (uZeta[3]*w[{0, 0, 2}])/4 - (15*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/4 + (w[{0, 1}]^3*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 0, 2}]^2)/2 + (w[{0, 1}]*w[{0, 0, 4}])/4 + (221*uZeta[4]*w[{0, 0, 0, 1}])/12 - 3*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 0, 1}] + w[{0, 1}]*w[{0, 3}]*w[{0, 0, 0, 1}] + 11*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (43*uZeta[2]*w[{0, 0, 0, 3}])/12 + (w[{0, 1}]^2*w[{0, 0, 0, 3}])/2 + w[{0, 0, 2}]*w[{0, 0, 0, 3}] - (13*w[{0, 0, 0, 5}])/5 + (11*w[{0, 0, 2, 3}])/6 + 19*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] - (19*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - w[{0, 1}]*w[{0, 0, 0, 0, 4}] + w[{0, 1}]*w[{0, 0, 0, 2, 2}] - 16*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 18*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (88*w[{0, 0, 0, 0, 0, 5}])/5 - 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] - 8*w[{0, 0, 0, 0, 1, 4}] + w[{0, 0, 0, 0, 2, 3}] - w[{0, 0, 0, 1, 2, 2}],
 w[{1, 1, 0, 1, 0, 2}] -> (-3*uZeta[2]*uZeta[3])/16 + (29*uZeta[5])/480 + (4169*uZeta[4]*w[{0, 1}])/720 - (uZeta[3]*w[{0, 1}]^2)/8 + (97*uZeta[2]*w[{0, 3}])/720 - (w[{0, 1}]^2*w[{0, 3}])/8 - (31*w[{0, 5}])/2400 - (uZeta[3]*w[{0, 0, 2}])/8 + (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/6 + (w[{0, 3}]*w[{0, 0, 2}])/24 + (w[{0, 1}]*w[{0, 0, 2}]^2)/2 - (w[{0, 1}]*w[{0, 0, 4}])/12 - (137*uZeta[4]*w[{0, 0, 0, 1}])/3 - 2*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (29*uZeta[2]*w[{0, 0, 0, 3}])/24 + (3*w[{0, 1}]^2*w[{0, 0, 0, 3}])/4 - (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/4 + (79*w[{0, 0, 0, 5}])/120 - (7*w[{0, 0, 2, 3}])/12 - 3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + (3*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 + 172*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 10*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] + (31*w[{0, 0, 0, 0, 0, 5}])/20 + 2*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + w[{0, 0, 0, 0, 1, 4}]/2 - w[{0, 0, 0, 0, 2, 3}] + w[{0, 0, 0, 1, 2, 2}],
 w[{1, 1, 0, 1, 1, 1}] -> (265*uZeta[2]*uZeta[3])/72 + (2*uZeta[5])/3 + (459*uZeta[4]*w[{0, 1}])/32 + (5*uZeta[3]*w[{0, 1}]^2)/12 - (95*uZeta[2]*w[{0, 1}]^3)/36 + w[{0, 1}]^5/12 - (191*uZeta[2]*w[{0, 3}])/216 + (5*w[{0, 1}]^2*w[{0, 3}])/36 + (2*w[{0, 5}])/15 + (5*uZeta[3]*w[{0, 0, 2}])/12 + (25*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/12 + (5*w[{0, 1}]^3*w[{0, 0, 2}])/6 + (5*w[{0, 3}]*w[{0, 0, 2}])/36 + (25*w[{0, 1}]*w[{0, 0, 2}]^2)/4 + (5*w[{0, 1}]*w[{0, 0, 4}])/4 - (175*uZeta[4]*w[{0, 0, 0, 1}])/3 + 20*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 0, 1}] + 20*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (25*uZeta[2]*w[{0, 0, 0, 3}])/36 - (5*w[{0, 1}]^2*w[{0, 0, 0, 3}])/6 - (5*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/6 + (8*w[{0, 0, 0, 5}])/3 - (5*w[{0, 0, 2, 3}])/3 - 20*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + 10*w[{0, 3}]*w[{0, 0, 0, 0, 2}] - (25*w[{0, 1}]*w[{0, 0, 0, 0, 4}])/2 - 10*w[{0, 1}]*w[{0, 0, 0, 2, 2}] + 160*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 40*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - 26*w[{0, 0, 0, 0, 0, 5}] - 80*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + 10*w[{0, 0, 0, 0, 1, 4}],
 w[{1, 1, 1, 0, 0, 2}] -> (7*uZeta[5])/480 - (287*uZeta[4]*w[{0, 1}])/360 - (uZeta[2]*w[{0, 1}]^3)/6 + (13*uZeta[2]*w[{0, 3}])/120 + (w[{0, 1}]^2*w[{0, 3}])/12 + (29*w[{0, 5}])/800 - (uZeta[3]*w[{0, 0, 2}])/12 + (11*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/12 - (w[{0, 1}]^3*w[{0, 0, 2}])/6 + (w[{0, 3}]*w[{0, 0, 2}])/18 - (w[{0, 1}]*w[{0, 0, 2}]^2)/4 + (133*uZeta[4]*w[{0, 0, 0, 1}])/12 + uZeta[2]*w[{0, 1}]^2*w[{0, 0, 0, 1}] - 3*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] - (3*uZeta[2]*w[{0, 0, 0, 3}])/4 - (w[{0, 1}]^2*w[{0, 0, 0, 3}])/2 - (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/3 + (77*w[{0, 0, 0, 5}])/120 - (5*w[{0, 0, 2, 3}])/12 - 5*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 0, 2}] + (5*w[{0, 3}]*w[{0, 0, 0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 0, 0, 0, 4}])/4 - (w[{0, 1}]*w[{0, 0, 0, 2, 2}])/2 - 64*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 0, 0, 0, 0, 3}] - (127*w[{0, 0, 0, 0, 0, 5}])/20 + (5*w[{0, 0, 0, 0, 1, 4}])/2,
 w[{1, 2, 0, 0, 0, 2}] -> (uZeta[2]*uZeta[3])/6 + (377*uZeta[4]*w[{0, 1}])/180 - (4*uZeta[2]*w[{0, 3}])/45 + w[{0, 5}]/20 - (2*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/3 - (w[{0, 3}]*w[{0, 0, 2}])/6 - w[{0, 1}]*w[{0, 0, 2}]^2 + (w[{0, 1}]*w[{0, 0, 4}])/6 - (44*uZeta[4]*w[{0, 0, 0, 1}])/3 + 4*uZeta[2]*w[{0, 0, 2}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 0, 0, 3}])/3 + w[{0, 0, 2}]*w[{0, 0, 0, 3}] + w[{0, 0, 0, 5}]/6 - w[{0, 0, 2, 3}]/6 + w[{0, 3}]*w[{0, 0, 0, 0, 2}] - w[{0, 1}]*w[{0, 0, 0, 0, 4}] + 70*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 3*w[{0, 0, 0, 0, 0, 5}] - 4*uZeta[2]*w[{0, 0, 0, 0, 1, 2}] + 2*w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}],
 w[{2, 0, 0, 0, 0, 3}] -> (7*w[{0, 5}])/360 - (w[{0, 3}]*w[{0, 0, 2}])/6 + w[{0, 0, 2}]*w[{0, 0, 0, 3}] - w[{0, 0, 0, 5}]/6 + w[{0, 3}]*w[{0, 0, 0, 0, 2}] + w[{0, 0, 0, 0, 0, 5}],
 w[{2, 0, 0, 0, 1, 2}] -> (-4*uZeta[4]*w[{0, 1}])/3 + w[{0, 5}]/40 + (uZeta[3]*w[{0, 0, 2}])/4 - (w[{0, 3}]*w[{0, 0, 2}])/12 + 11*uZeta[4]*w[{0, 0, 0, 1}] + (w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 0, 5}]/6 - w[{0, 0, 2, 3}]/6 - 60*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - 2*w[{0, 0, 0, 0, 0, 5}] + w[{0, 0, 0, 0, 1, 4}],
 w[{2, 0, 0, 1, 0, 2}] -> uZeta[5]/60 + (173*uZeta[4]*w[{0, 1}])/60 + (31*w[{0, 5}])/1800 - (uZeta[3]*w[{0, 0, 2}])/4 - (5*w[{0, 3}]*w[{0, 0, 2}])/12 - 23*uZeta[4]*w[{0, 0, 0, 1}] + (5*w[{0, 0, 2}]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 0, 5}]/15 + w[{0, 3}]*w[{0, 0, 0, 0, 2}] + 114*uZeta[4]*w[{0, 0, 0, 0, 0, 1}] - (7*w[{0, 0, 0, 0, 0, 5}])/5 + w[{0, 0, 0, 0, 1, 4}] - w[{0, 0, 0, 0, 2, 3}]
}

(* weight 6 length 6 *)

{
w[{0, 0, 0, 0, 0, 6}] -> -uZeta[6]/120 - w[{0, 0, 6}]/24 + w[{0, 0, 0, 0, 6}]/2,
 w[{0, 0, 0, 0, 1, 5}] -> (-5*uZeta[6])/144 + w[{0, 3}]^2/48 - (5*w[{0, 0, 6}])/48 + w[{0, 0, 0, 1, 5}]/2,
 w[{0, 0, 0, 0, 2, 4}] -> (5*uZeta[6])/72 + w[{0, 3}]^2/24 + (uZeta[4]*w[{0, 0, 2}])/4 - w[{0, 0, 6}]/12 - uZeta[4]*w[{0, 0, 0, 0, 2}] + w[{0, 0, 0, 2, 4}]/2,
 w[{0, 0, 0, 0, 3, 3}] -> (17*uZeta[6])/48 - w[{0, 3}]^2/16 + (3*uZeta[4]*w[{0, 0, 2}])/4 + w[{0, 0, 6}]/16 + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 3*uZeta[4]*w[{0, 0, 0, 0, 2}] + (17*w[{0, 0, 0, 0, 6}])/4 - 3*w[{0, 0, 0, 1, 5}] + (3*w[{0, 0, 0, 2, 4}])/2,
 w[{0, 0, 0, 0, 4, 2}] -> (67*uZeta[6])/144 - w[{0, 3}]^2/8 + (3*uZeta[4]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (11*w[{0, 0, 6}])/24 + w[{0, 3}]*w[{0, 0, 0, 3}] - 3*uZeta[4]*w[{0, 0, 0, 0, 2}] - uZeta[2]*w[{0, 0, 0, 0, 4}] - w[{0, 0, 0, 0, 6}]/2 - 2*w[{0, 0, 0, 1, 5}] + w[{0, 0, 0, 2, 4}],
 w[{0, 0, 0, 0, 5, 1}] -> (29*uZeta[6])/120 - w[{0, 3}]^2/16 - (w[{0, 1}]*w[{0, 5}])/8 + (uZeta[4]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (23*w[{0, 0, 6}])/48 + (w[{0, 5}]*w[{0, 0, 0, 1}])/2 + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - uZeta[4]*w[{0, 0, 0, 0, 2}] - uZeta[2]*w[{0, 0, 0, 0, 4}] - (13*w[{0, 0, 0, 0, 6}])/4,
 w[{0, 0, 0, 0, 6, 0}] -> uZeta[6]/24 + (5*w[{0, 0, 6}])/24 - (3*w[{0, 0, 0, 0, 6}])/2,
 w[{0, 0, 0, 1, 0, 5}] -> -uZeta[6]/16 + (w[{0, 1}]*w[{0, 5}])/6 - (uZeta[4]*w[{0, 0, 2}])/12 - (uZeta[2]*w[{0, 0, 4}])/12 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/4 - w[{0, 5}]*w[{0, 0, 0, 1}] + (5*w[{0, 0, 0, 0, 6}])/4,
 w[{0, 0, 0, 1, 1, 4}] -> (-17*uZeta[6])/960 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + w[{0, 3}]^2/48 - (w[{0, 1}]*w[{0, 5}])/6 + (7*uZeta[4]*w[{0, 0, 2}])/24 - (5*uZeta[2]*w[{0, 0, 4}])/24 - (9*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - (11*w[{0, 0, 6}])/24 + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + w[{0, 5}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (11*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (3*w[{0, 0, 0, 0, 6}])/8 + w[{0, 0, 0, 1, 5}] - w[{0, 0, 0, 2, 4}]/4 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 0, 1, 2, 3}] -> (19*uZeta[6])/48 - w[{0, 3}]^2/48 + (w[{0, 1}]*w[{0, 5}])/6 + (25*uZeta[4]*w[{0, 0, 2}])/24 - (uZeta[2]*w[{0, 0, 4}])/12 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - (7*w[{0, 0, 6}])/48 - w[{0, 5}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - (15*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (11*w[{0, 0, 0, 0, 6}])/4 - 2*w[{0, 0, 0, 1, 5}] + (3*w[{0, 0, 0, 2, 4}])/2 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 0, 1, 3, 2}] -> (1297*uZeta[6])/960 - w[{0, 3}]^2/6 - (w[{0, 1}]*w[{0, 5}])/6 + (17*uZeta[4]*w[{0, 0, 2}])/6 + (uZeta[2]*w[{0, 0, 2}]^2)/4 + (13*uZeta[2]*w[{0, 0, 4}])/24 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (49*w[{0, 0, 6}])/48 + w[{0, 5}]*w[{0, 0, 0, 1}] + 2*w[{0, 3}]*w[{0, 0, 0, 3}] - (33*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + w[{0, 0, 0, 0, 6}]/8 - (11*w[{0, 0, 0, 1, 5}])/2 - (uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + (15*w[{0, 0, 0, 2, 4}])/4 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 0, 1, 4, 1}] -> (59*uZeta[6])/72 - (uZeta[4]*w[{0, 1}]^2)/3 + (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - (5*w[{0, 3}]^2)/24 + (w[{0, 1}]*w[{0, 5}])/24 + uZeta[4]*w[{0, 0, 2}] - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 2}]^2)/4 + (11*uZeta[2]*w[{0, 0, 4}])/12 + (5*w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (4*w[{0, 0, 6}])/3 + 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - (3*w[{0, 5}]*w[{0, 0, 0, 1}])/2 + (5*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (w[{0, 1}]*w[{0, 0, 0, 5}])/2 + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - (5*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (13*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (11*w[{0, 0, 0, 0, 6}])/2 - (3*w[{0, 0, 0, 1, 5}])/2 - (uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + w[{0, 0, 0, 2, 4}],
 w[{0, 0, 0, 1, 5, 0}] -> (29*uZeta[6])/144 - w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/6 + (uZeta[4]*w[{0, 0, 2}])/12 + (uZeta[2]*w[{0, 0, 4}])/12 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (2*w[{0, 0, 6}])/3 + w[{0, 5}]*w[{0, 0, 0, 1}] - (5*w[{0, 0, 0, 0, 6}])/4 - w[{0, 0, 0, 1, 5}],
 w[{0, 0, 0, 2, 0, 4}] -> (-67*uZeta[6])/144 - uZeta[4]*w[{0, 0, 2}] - w[{0, 0, 6}]/8 + 4*uZeta[4]*w[{0, 0, 0, 0, 2}] - 5*w[{0, 0, 0, 0, 6}] + 4*w[{0, 0, 0, 1, 5}] - 2*w[{0, 0, 0, 2, 4}],
 w[{0, 0, 0, 2, 1, 3}] -> (-385*uZeta[6])/288 + w[{0, 3}]^2/48 - 3*uZeta[4]*w[{0, 0, 2}] - (7*w[{0, 0, 6}])/24 - (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (27*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (91*w[{0, 0, 0, 0, 6}])/8 + (19*w[{0, 0, 0, 1, 5}])/2 - (21*w[{0, 0, 0, 2, 4}])/4,
 w[{0, 0, 0, 2, 2, 2}] -> (-161*uZeta[6])/288 - (5*uZeta[4]*w[{0, 0, 2}])/4 - (uZeta[2]*w[{0, 0, 4}])/8 - uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 0, 2, 3, 1}] -> (1381*uZeta[6])/2880 - w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/8 + (3*uZeta[4]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 0, 2}]^2)/4 + (uZeta[2]*w[{0, 0, 4}])/3 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (35*w[{0, 0, 6}])/48 + (w[{0, 5}]*w[{0, 0, 0, 1}])/2 + w[{0, 3}]*w[{0, 0, 0, 3}] + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - (19*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (47*w[{0, 0, 0, 0, 6}])/8 - (15*w[{0, 0, 0, 1, 5}])/2 - (3*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + (17*w[{0, 0, 0, 2, 4}])/4 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 0, 2, 4, 0}] -> (3*uZeta[6])/16 - w[{0, 3}]^2/6 + (11*w[{0, 0, 6}])/24 + 5*w[{0, 0, 0, 0, 6}] - 4*w[{0, 0, 0, 1, 5}] + w[{0, 0, 0, 2, 4}],
 w[{0, 0, 0, 3, 0, 3}] -> (-65*uZeta[6])/72 + w[{0, 3}]^2/6 - 2*uZeta[4]*w[{0, 0, 2}] - w[{0, 0, 6}]/12 - w[{0, 3}]*w[{0, 0, 0, 3}] + 9*uZeta[4]*w[{0, 0, 0, 0, 2}] - (35*w[{0, 0, 0, 0, 6}])/4 + 6*w[{0, 0, 0, 1, 5}] - 3*w[{0, 0, 0, 2, 4}],
 w[{0, 0, 0, 3, 1, 2}] -> (-59*uZeta[6])/20 + (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + (13*w[{0, 3}]^2)/48 - (161*uZeta[4]*w[{0, 0, 2}])/24 - (uZeta[2]*w[{0, 0, 2}]^2)/2 - (5*uZeta[2]*w[{0, 0, 4}])/8 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - (61*w[{0, 0, 6}])/48 - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (19*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (67*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (7*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (19*w[{0, 0, 0, 0, 6}])/4 + 6*w[{0, 0, 0, 1, 5}] - 6*w[{0, 0, 0, 2, 4}] - w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 0, 3, 2, 1}] -> (-2143*uZeta[6])/1440 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 + (13*w[{0, 3}]^2)/48 + (7*w[{0, 1}]*w[{0, 5}])/24 - (71*uZeta[4]*w[{0, 0, 2}])/24 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 0, 2}]^2)/2 - (3*uZeta[2]*w[{0, 0, 4}])/4 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - (23*w[{0, 0, 6}])/48 - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (w[{0, 5}]*w[{0, 0, 0, 1}])/2 - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - (3*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 2*w[{0, 1}]*w[{0, 0, 0, 5}] + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 + (11*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (7*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (23*w[{0, 0, 0, 0, 6}])/4 - 2*w[{0, 0, 0, 1, 5}] - uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}] + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 0, 3, 3, 0}] -> -uZeta[6]/12 - 3*uZeta[4]*w[{0, 0, 0, 0, 2}] + w[{0, 0, 0, 0, 6}]/4,
 w[{0, 0, 0, 4, 0, 2}] -> (-25*uZeta[6])/24 + w[{0, 3}]^2/6 - (7*uZeta[4]*w[{0, 0, 2}])/4 - (3*uZeta[2]*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (17*w[{0, 0, 6}])/24 - 2*w[{0, 3}]*w[{0, 0, 0, 3}] + 9*uZeta[4]*w[{0, 0, 0, 0, 2}] + 4*uZeta[2]*w[{0, 0, 0, 0, 4}] + (13*w[{0, 0, 0, 0, 6}])/2 - w[{0, 0, 0, 2, 4}],
 w[{0, 0, 0, 4, 1, 1}] -> (-2453*uZeta[6])/1440 + (5*uZeta[4]*w[{0, 1}]^2)/24 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 + (13*w[{0, 3}]^2)/48 + (5*w[{0, 1}]*w[{0, 5}])/24 - (71*uZeta[4]*w[{0, 0, 2}])/24 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 0, 2}]^2)/2 - (5*uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 1}]^2*w[{0, 0, 4}])/4 - w[{0, 0, 2}]*w[{0, 0, 4}] - (49*w[{0, 0, 6}])/48 - uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 5}]*w[{0, 0, 0, 1}])/2 - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - (5*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2 + (21*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (15*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (31*w[{0, 0, 0, 0, 6}])/4 - w[{0, 0, 0, 2, 4}],
 w[{0, 0, 0, 4, 2, 0}] -> (-11*uZeta[6])/24 + w[{0, 3}]^2/6 - (uZeta[4]*w[{0, 0, 2}])/4 - (uZeta[2]*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (11*w[{0, 0, 6}])/24 - 3*uZeta[4]*w[{0, 0, 0, 0, 2}] - (11*w[{0, 0, 0, 0, 6}])/2 + 4*w[{0, 0, 0, 1, 5}] - w[{0, 0, 0, 2, 4}],
 w[{0, 0, 0, 5, 0, 1}] -> (-337*uZeta[6])/720 + w[{0, 3}]^2/12 + (w[{0, 1}]*w[{0, 5}])/6 - (7*uZeta[4]*w[{0, 0, 2}])/12 - (7*uZeta[2]*w[{0, 0, 4}])/12 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (5*w[{0, 0, 6}])/12 - w[{0, 3}]*w[{0, 0, 0, 3}] - w[{0, 1}]*w[{0, 0, 0, 5}] + 3*uZeta[4]*w[{0, 0, 0, 0, 2}] + 3*uZeta[2]*w[{0, 0, 0, 0, 4}] + (19*w[{0, 0, 0, 0, 6}])/4 - w[{0, 0, 0, 1, 5}],
 w[{0, 0, 0, 5, 1, 0}] -> (-181*uZeta[6])/720 + w[{0, 3}]^2/12 + (w[{0, 1}]*w[{0, 5}])/6 - (uZeta[4]*w[{0, 0, 2}])/12 - (uZeta[2]*w[{0, 0, 4}])/12 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (2*w[{0, 0, 6}])/3 - w[{0, 5}]*w[{0, 0, 0, 1}] - uZeta[4]*w[{0, 0, 0, 0, 2}] - uZeta[2]*w[{0, 0, 0, 0, 4}] + (7*w[{0, 0, 0, 0, 6}])/4 + w[{0, 0, 0, 1, 5}],
 w[{0, 0, 0, 6, 0, 0}] -> -uZeta[6]/24 - w[{0, 0, 6}]/6 + w[{0, 0, 0, 0, 6}],
 w[{0, 0, 1, 0, 0, 5}] -> -uZeta[6]/36 + w[{0, 3}]^2/24 - (5*w[{0, 0, 6}])/24 - (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (5*w[{0, 0, 0, 0, 6}])/2 - w[{0, 0, 0, 1, 5}]/2,
 w[{0, 0, 1, 0, 1, 4}] -> (-1667*uZeta[6])/2880 + (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 + (5*w[{0, 3}]^2)/24 - (5*uZeta[4]*w[{0, 0, 2}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (13*w[{0, 0, 6}])/24 - 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (7*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (23*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (17*w[{0, 0, 0, 0, 6}])/4 - w[{0, 0, 0, 2, 4}]/2 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 1, 0, 2, 3}] -> (-67*uZeta[6])/144 + w[{0, 3}]^2/24 - (9*uZeta[4]*w[{0, 0, 2}])/8 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - w[{0, 0, 6}]/3 - (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (27*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (13*w[{0, 0, 0, 0, 6}])/4 - w[{0, 0, 0, 1, 5}]/2 - (3*w[{0, 0, 2, 2, 2}])/4,
 w[{0, 0, 1, 0, 3, 2}] -> (11*uZeta[6])/20 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 - (5*w[{0, 3}]^2)/12 + uZeta[4]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 0, 2}]^2)/2 + (uZeta[2]*w[{0, 0, 4}])/6 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (13*w[{0, 0, 6}])/16 + 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (17*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (9*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (3*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (55*w[{0, 0, 0, 0, 6}])/8 - w[{0, 0, 0, 1, 5}] + (9*w[{0, 0, 0, 2, 4}])/4 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 1, 0, 4, 1}] -> (2807*uZeta[6])/2880 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 - (11*w[{0, 3}]^2)/24 - (w[{0, 1}]*w[{0, 5}])/6 + (7*uZeta[4]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 0, 2}]^2)/2 + (5*uZeta[2]*w[{0, 0, 4}])/12 + (29*w[{0, 0, 6}])/24 + 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (19*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2 - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - (7*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (5*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (57*w[{0, 0, 0, 0, 6}])/4 + 2*w[{0, 0, 0, 1, 5}] + w[{0, 0, 0, 2, 4}],
 w[{0, 0, 1, 0, 5, 0}] -> (41*uZeta[6])/144 - w[{0, 3}]^2/12 + (uZeta[4]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (7*w[{0, 0, 6}])/12 + w[{0, 3}]*w[{0, 0, 0, 3}] - (25*w[{0, 0, 0, 0, 6}])/4 + w[{0, 0, 0, 1, 5}],
 w[{0, 0, 1, 1, 0, 4}] -> uZeta[6]/6 + w[{0, 3}]^2/8 + (5*uZeta[4]*w[{0, 0, 2}])/8 + (w[{0, 0, 2}]*w[{0, 0, 4}])/8 - (19*w[{0, 0, 6}])/48 - (3*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 7*uZeta[4]*w[{0, 0, 0, 0, 2}] + (43*w[{0, 0, 0, 0, 6}])/8 - w[{0, 0, 0, 1, 5}] - w[{0, 0, 0, 2, 4}]/4 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 1, 1, 1, 3}] -> -uZeta[6]/8 + w[{0, 3}]^2/4 - (3*w[{0, 0, 6}])/4 - 3*w[{0, 3}]*w[{0, 0, 0, 3}] - 3*uZeta[4]*w[{0, 0, 0, 0, 2}] + (15*w[{0, 0, 0, 0, 6}])/2 - (3*w[{0, 0, 0, 2, 4}])/2,
 w[{0, 0, 1, 1, 2, 2}] -> (387*uZeta[6])/320 + (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 - w[{0, 3}]^2/6 + (17*uZeta[4]*w[{0, 0, 2}])/8 - (5*uZeta[2]*w[{0, 0, 2}]^2)/4 - (7*uZeta[2]*w[{0, 0, 4}])/24 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (9*w[{0, 0, 6}])/16 - 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (11*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - 3*uZeta[4]*w[{0, 0, 0, 0, 2}] + (13*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (31*w[{0, 0, 0, 0, 6}])/8 - 2*w[{0, 0, 0, 1, 5}] + (7*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + (11*w[{0, 0, 0, 2, 4}])/4 - w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 1, 1, 3, 1}] -> (619*uZeta[6])/240 - (3*w[{0, 3}]^2)/4 - (w[{0, 1}]*w[{0, 5}])/4 + (39*uZeta[4]*w[{0, 0, 2}])/8 - (uZeta[2]*w[{0, 0, 2}]^2)/2 + (uZeta[2]*w[{0, 0, 4}])/3 + (w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (101*w[{0, 0, 6}])/48 + 9*w[{0, 3}]*w[{0, 0, 0, 3}] + (5*w[{0, 1}]*w[{0, 0, 0, 5}])/2 - w[{0, 1}]*w[{0, 0, 2, 3}] - 13*uZeta[4]*w[{0, 0, 0, 0, 2}] - (uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (179*w[{0, 0, 0, 0, 6}])/8 + w[{0, 0, 0, 1, 5}]/2 + 3*uZeta[2]*w[{0, 0, 0, 2, 2}] + (17*w[{0, 0, 0, 2, 4}])/4 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 1, 1, 4, 0}] -> (8*uZeta[6])/9 - (5*w[{0, 3}]^2)/16 + uZeta[4]*w[{0, 0, 2}] + (5*uZeta[2]*w[{0, 0, 4}])/8 + (5*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (61*w[{0, 0, 6}])/48 + 3*w[{0, 3}]*w[{0, 0, 0, 3}] - 10*w[{0, 0, 0, 0, 6}] + w[{0, 0, 0, 2, 4}],
 w[{0, 0, 1, 2, 0, 3}] -> -uZeta[6]/12 + w[{0, 3}]^2/4 + (uZeta[4]*w[{0, 0, 2}])/8 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - w[{0, 0, 6}]/8 - 2*w[{0, 3}]*w[{0, 0, 0, 3}] - (21*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (5*w[{0, 0, 0, 0, 6}])/2 + (5*w[{0, 0, 0, 1, 5}])/2 - (3*w[{0, 0, 0, 2, 4}])/2 + (3*w[{0, 0, 2, 2, 2}])/4,
 w[{0, 0, 1, 2, 1, 2}] -> (-859*uZeta[6])/360 - (uZeta[3]*w[{0, 3}])/4 - (2*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + (5*w[{0, 3}]^2)/12 - (139*uZeta[4]*w[{0, 0, 2}])/24 - (3*uZeta[2]*w[{0, 0, 2}]^2)/4 - (uZeta[2]*w[{0, 0, 4}])/6 + (5*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - (59*w[{0, 0, 6}])/48 + 4*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - 6*w[{0, 3}]*w[{0, 0, 0, 3}] + (29*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (3*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (71*w[{0, 0, 0, 0, 6}])/8 + 4*w[{0, 0, 0, 1, 5}] - (3*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - (23*w[{0, 0, 0, 2, 4}])/4 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 1, 2, 2, 1}] -> (-2669*uZeta[6])/2880 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (5*uZeta[4]*w[{0, 1}]^2)/2 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - w[{0, 3}]^2/24 + (w[{0, 1}]*w[{0, 5}])/6 - (61*uZeta[4]*w[{0, 0, 2}])/24 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - 2*uZeta[2]*w[{0, 0, 2}]^2 - (7*uZeta[2]*w[{0, 0, 4}])/12 + (w[{0, 0, 2}]*w[{0, 0, 4}])/8 + w[{0, 0, 6}]/6 + 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 3*w[{0, 1}]*w[{0, 0, 0, 5}] + 2*w[{0, 1}]*w[{0, 0, 2, 3}] + uZeta[4]*w[{0, 0, 0, 0, 2}] + 4*uZeta[2]*w[{0, 0, 0, 0, 4}] + w[{0, 0, 0, 0, 6}] - 2*w[{0, 0, 0, 1, 5}] + uZeta[2]*w[{0, 0, 0, 2, 2}] + (3*w[{0, 0, 0, 2, 4}])/2 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 1, 2, 3, 0}] -> uZeta[6]/24 - (5*w[{0, 3}]^2)/16 - (3*uZeta[4]*w[{0, 0, 2}])/8 + (uZeta[2]*w[{0, 0, 4}])/4 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (9*w[{0, 0, 6}])/16 + 2*w[{0, 3}]*w[{0, 0, 0, 3}] + (9*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (7*w[{0, 0, 0, 0, 6}])/2 - w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 1, 3, 0, 2}] -> (-4117*uZeta[6])/2880 + (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 + w[{0, 3}]^2/2 - (5*uZeta[4]*w[{0, 0, 2}])/2 - (5*uZeta[2]*w[{0, 0, 2}]^2)/4 - (7*uZeta[2]*w[{0, 0, 4}])/6 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (53*w[{0, 0, 6}])/48 - 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (21*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (9*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (33*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (89*w[{0, 0, 0, 0, 6}])/8 + (3*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - (9*w[{0, 0, 0, 2, 4}])/4 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 1, 3, 1, 1}] -> (-2237*uZeta[6])/576 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (19*uZeta[4]*w[{0, 1}]^2)/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/4 + (2*w[{0, 3}]^2)/3 + (5*w[{0, 1}]*w[{0, 5}])/12 - (67*uZeta[4]*w[{0, 0, 2}])/8 - (5*uZeta[2]*w[{0, 0, 2}]^2)/2 - (85*uZeta[2]*w[{0, 0, 4}])/48 + (3*w[{0, 1}]^2*w[{0, 0, 4}])/8 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - (5*w[{0, 0, 6}])/3 + 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - (3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - 8*w[{0, 3}]*w[{0, 0, 0, 3}] - 5*w[{0, 1}]*w[{0, 0, 0, 5}] + (5*w[{0, 1}]*w[{0, 0, 2, 3}])/2 + 19*uZeta[4]*w[{0, 0, 0, 0, 2}] + (25*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (39*w[{0, 0, 0, 0, 6}])/2 - w[{0, 0, 0, 1, 5}] - (7*w[{0, 0, 0, 2, 4}])/2,
 w[{0, 0, 1, 3, 2, 0}] -> (-133*uZeta[6])/72 + w[{0, 3}]^2/12 - 3*uZeta[4]*w[{0, 0, 2}] - (5*uZeta[2]*w[{0, 0, 4}])/8 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (35*w[{0, 0, 6}])/48 - w[{0, 3}]*w[{0, 0, 0, 3}] + (15*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (35*w[{0, 0, 0, 0, 6}])/8 + (13*w[{0, 0, 0, 1, 5}])/2 - (15*w[{0, 0, 0, 2, 4}])/4 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 1, 4, 0, 1}] -> (-1409*uZeta[6])/960 + (uZeta[3]*w[{0, 3}])/8 + (7*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 + (3*w[{0, 3}]^2)/8 + (3*w[{0, 1}]*w[{0, 5}])/8 - (31*uZeta[4]*w[{0, 0, 2}])/12 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 0, 2}]^2 - (17*uZeta[2]*w[{0, 0, 4}])/12 - (23*w[{0, 0, 6}])/24 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (w[{0, 5}]*w[{0, 0, 0, 1}])/2 - (19*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - 2*w[{0, 1}]*w[{0, 0, 0, 5}] + (17*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + 9*uZeta[2]*w[{0, 0, 0, 0, 4}] + (61*w[{0, 0, 0, 0, 6}])/4 - 3*w[{0, 0, 0, 1, 5}] + uZeta[2]*w[{0, 0, 0, 2, 2}] - w[{0, 0, 0, 2, 4}],
 w[{0, 0, 1, 4, 1, 0}] -> (-91*uZeta[6])/72 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + (5*w[{0, 3}]^2)/24 - (w[{0, 1}]*w[{0, 5}])/6 - (4*uZeta[4]*w[{0, 0, 2}])/3 + (uZeta[2]*w[{0, 0, 2}]^2)/4 - (3*uZeta[2]*w[{0, 0, 4}])/4 - (5*w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (4*w[{0, 0, 6}])/3 + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + w[{0, 5}]*w[{0, 0, 0, 1}] - (5*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (5*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (13*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (9*w[{0, 0, 0, 0, 6}])/2 + (5*w[{0, 0, 0, 1, 5}])/2 - (uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - w[{0, 0, 0, 2, 4}],
 w[{0, 0, 1, 5, 0, 0}] -> (-37*uZeta[6])/144 + w[{0, 3}]^2/24 - (uZeta[4]*w[{0, 0, 2}])/4 - (uZeta[2]*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (3*w[{0, 0, 6}])/8 - (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (15*w[{0, 0, 0, 0, 6}])/4 - w[{0, 0, 0, 1, 5}]/2,
 w[{0, 0, 2, 0, 0, 4}] -> (53*uZeta[6])/144 + w[{0, 3}]^2/12 + uZeta[4]*w[{0, 0, 2}] - (uZeta[2]*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/6 - w[{0, 3}]*w[{0, 0, 0, 3}] - 6*uZeta[4]*w[{0, 0, 0, 0, 2}] + 5*w[{0, 0, 0, 0, 6}] - 2*w[{0, 0, 0, 1, 5}] + w[{0, 0, 0, 2, 4}]/2,
 w[{0, 0, 2, 0, 1, 3}] -> (107*uZeta[6])/288 + (5*w[{0, 3}]^2)/24 + (9*uZeta[4]*w[{0, 0, 2}])/8 - (3*uZeta[2]*w[{0, 0, 4}])/8 - (9*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - (13*w[{0, 0, 6}])/24 - (5*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - (3*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (19*w[{0, 0, 0, 0, 6}])/2 - (5*w[{0, 0, 0, 1, 5}])/2 - (3*w[{0, 0, 2, 2, 2}])/4,
 w[{0, 0, 2, 0, 2, 2}] -> (367*uZeta[6])/720 + (3*uZeta[4]*w[{0, 0, 2}])/4 - (uZeta[2]*w[{0, 0, 2}]^2)/2 + (11*uZeta[2]*w[{0, 0, 4}])/24 + 12*uZeta[4]*w[{0, 0, 0, 0, 2}] - (uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (3*w[{0, 0, 0, 0, 6}])/2 + w[{0, 0, 0, 1, 5}] + 2*uZeta[2]*w[{0, 0, 0, 2, 2}] - w[{0, 0, 0, 2, 4}]/2 - (3*w[{0, 0, 2, 2, 2}])/2,
 w[{0, 0, 2, 0, 3, 1}] -> (361*uZeta[6])/240 - (uZeta[3]*w[{0, 3}])/8 - (7*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - (5*w[{0, 3}]^2)/12 - (w[{0, 1}]*w[{0, 5}])/12 + (11*uZeta[4]*w[{0, 0, 2}])/4 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + (5*uZeta[2]*w[{0, 0, 4}])/8 + (15*w[{0, 0, 6}])/16 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (21*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2 - w[{0, 1}]*w[{0, 0, 2, 3}] + (3*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - 2*uZeta[2]*w[{0, 0, 0, 0, 4}] - (149*w[{0, 0, 0, 0, 6}])/8 + 5*w[{0, 0, 0, 1, 5}] + 2*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/4 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 2, 0, 4, 0}] -> (35*uZeta[6])/48 - w[{0, 3}]^2/6 + uZeta[4]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 0, 4}])/2 + w[{0, 0, 2}]*w[{0, 0, 4}] + (13*w[{0, 0, 6}])/24 + 2*w[{0, 3}]*w[{0, 0, 0, 3}] - 5*w[{0, 0, 0, 0, 6}] + w[{0, 0, 0, 2, 4}],
 w[{0, 0, 2, 1, 0, 3}] -> (365*uZeta[6])/288 + (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + w[{0, 3}]^2/24 + (11*uZeta[4]*w[{0, 0, 2}])/3 + uZeta[2]*w[{0, 0, 2}]^2 + (uZeta[2]*w[{0, 0, 4}])/4 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (5*w[{0, 0, 6}])/16 - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (5*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (39*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (47*w[{0, 0, 0, 0, 6}])/8 - w[{0, 0, 0, 1, 5}] - (3*w[{0, 0, 0, 2, 4}])/4 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 2, 1, 1, 2}] -> (10879*uZeta[6])/2880 - w[{0, 3}]^2/24 + (39*uZeta[4]*w[{0, 0, 2}])/4 + uZeta[2]*w[{0, 0, 2}]^2 + (uZeta[2]*w[{0, 0, 4}])/12 + w[{0, 0, 6}]/6 + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - (105*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + uZeta[2]*w[{0, 0, 0, 0, 4}] - 2*w[{0, 0, 0, 0, 6}] + 2*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2,
 w[{0, 0, 2, 1, 2, 1}] -> (23*uZeta[6])/8 + (5*uZeta[4]*w[{0, 1}]^2)/3 + (uZeta[3]*w[{0, 3}])/4 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - (5*w[{0, 3}]^2)/12 - (w[{0, 1}]*w[{0, 5}])/3 + (31*uZeta[4]*w[{0, 0, 2}])/6 + w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] - (15*uZeta[2]*w[{0, 0, 2}]^2)/4 - (uZeta[2]*w[{0, 0, 4}])/4 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (37*w[{0, 0, 6}])/48 - 10*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 4*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + 5*w[{0, 3}]*w[{0, 0, 0, 3}] + (13*w[{0, 1}]*w[{0, 0, 0, 5}])/2 - (9*w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 9*uZeta[4]*w[{0, 0, 0, 0, 2}] + (15*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (85*w[{0, 0, 0, 0, 6}])/8 + w[{0, 0, 0, 1, 5}] + (15*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + (7*w[{0, 0, 0, 2, 4}])/4 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 2, 1, 3, 0}] -> (253*uZeta[6])/288 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - (11*w[{0, 3}]^2)/48 + (5*uZeta[4]*w[{0, 0, 2}])/24 - uZeta[2]*w[{0, 0, 2}]^2 + (uZeta[2]*w[{0, 0, 4}])/8 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (19*w[{0, 0, 6}])/16 + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (17*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (15*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - 4*w[{0, 0, 0, 0, 6}] - 6*w[{0, 0, 0, 1, 5}] + 6*w[{0, 0, 0, 2, 4}] + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 2, 2, 0, 2}] -> (369*uZeta[6])/160 + 6*uZeta[4]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 0, 2}]^2)/2 - (uZeta[2]*w[{0, 0, 4}])/3 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - 36*uZeta[4]*w[{0, 0, 0, 0, 2}] + (uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (9*w[{0, 0, 0, 0, 6}])/2 - 3*w[{0, 0, 0, 1, 5}] + uZeta[2]*w[{0, 0, 0, 2, 2}] + (3*w[{0, 0, 0, 2, 4}])/2 + (3*w[{0, 0, 2, 2, 2}])/2,
 w[{0, 0, 2, 2, 1, 1}] -> (181*uZeta[6])/720 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (43*uZeta[4]*w[{0, 1}]^2)/12 - (uZeta[3]*w[{0, 3}])/8 - (2*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/4 + (w[{0, 1}]*w[{0, 5}])/6 + (11*uZeta[4]*w[{0, 0, 2}])/24 - (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (3*uZeta[2]*w[{0, 0, 2}]^2)/4 - (11*uZeta[2]*w[{0, 0, 4}])/48 - (w[{0, 1}]^2*w[{0, 0, 4}])/8 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - (7*w[{0, 0, 6}])/16 + 20*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (11*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (7*w[{0, 1}]*w[{0, 0, 0, 5}])/2 + (5*w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 16*uZeta[4]*w[{0, 0, 0, 0, 2}] + (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (53*w[{0, 0, 0, 0, 6}])/8 - w[{0, 0, 0, 1, 5}] + (3*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - (3*w[{0, 0, 0, 2, 4}])/4 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 2, 2, 2, 0}] -> (-41*uZeta[6])/36 - 3*uZeta[4]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + 24*uZeta[4]*w[{0, 0, 0, 0, 2}] - 3*w[{0, 0, 0, 0, 6}] + 2*w[{0, 0, 0, 1, 5}] - w[{0, 0, 0, 2, 4}] - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 2, 3, 0, 1}] -> (-39*uZeta[6])/80 + (uZeta[3]*w[{0, 3}])/8 + (7*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 + w[{0, 3}]^2/3 + (w[{0, 1}]*w[{0, 5}])/8 - (uZeta[4]*w[{0, 0, 2}])/3 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 0, 2}]^2)/2 - (3*uZeta[2]*w[{0, 0, 4}])/4 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (31*w[{0, 0, 6}])/48 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 5}]*w[{0, 0, 0, 1}])/2 - (17*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2 + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - (13*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (13*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (91*w[{0, 0, 0, 0, 6}])/8 - 2*w[{0, 0, 0, 1, 5}] + uZeta[2]*w[{0, 0, 0, 2, 2}] - (5*w[{0, 0, 0, 2, 4}])/4 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 2, 3, 1, 0}] -> (-821*uZeta[6])/320 + w[{0, 3}]^2/6 + (w[{0, 1}]*w[{0, 5}])/6 - (29*uZeta[4]*w[{0, 0, 2}])/6 + (uZeta[2]*w[{0, 0, 2}]^2)/4 - (3*uZeta[2]*w[{0, 0, 4}])/8 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (49*w[{0, 0, 6}])/48 - w[{0, 5}]*w[{0, 0, 0, 1}] - 2*w[{0, 3}]*w[{0, 0, 0, 3}] + (29*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (11*w[{0, 0, 0, 0, 6}])/8 + (9*w[{0, 0, 0, 1, 5}])/2 - (3*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - (13*w[{0, 0, 0, 2, 4}])/4 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 2, 4, 0, 0}] -> (-95*uZeta[6])/144 + w[{0, 3}]^2/12 - uZeta[4]*w[{0, 0, 2}] - (uZeta[2]*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (3*w[{0, 0, 6}])/8 - w[{0, 3}]*w[{0, 0, 0, 3}] + 2*w[{0, 0, 0, 1, 5}] - (3*w[{0, 0, 0, 2, 4}])/2,
 w[{0, 0, 3, 0, 0, 3}] -> (7*uZeta[6])/12 + (3*uZeta[4]*w[{0, 0, 2}])/2 - w[{0, 0, 6}]/8 - 9*uZeta[4]*w[{0, 0, 0, 0, 2}] + (3*w[{0, 0, 0, 0, 6}])/4,
 w[{0, 0, 3, 0, 1, 2}] -> (257*uZeta[6])/96 - (7*w[{0, 3}]^2)/24 + (13*uZeta[4]*w[{0, 0, 2}])/2 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (7*w[{0, 0, 6}])/16 + (7*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - (63*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (73*w[{0, 0, 0, 0, 6}])/8 + 2*w[{0, 0, 0, 1, 5}] + uZeta[2]*w[{0, 0, 0, 2, 2}] + (3*w[{0, 0, 0, 2, 4}])/4 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 3, 0, 2, 1}] -> (743*uZeta[6])/480 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 + w[{0, 3}]^2/24 - (w[{0, 1}]*w[{0, 5}])/4 + (23*uZeta[4]*w[{0, 0, 2}])/8 - (uZeta[2]*w[{0, 0, 2}]^2)/2 + (uZeta[2]*w[{0, 0, 4}])/3 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + 3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (5*w[{0, 1}]*w[{0, 0, 0, 5}])/2 - w[{0, 1}]*w[{0, 0, 2, 3}] + (uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (11*w[{0, 0, 0, 0, 6}])/4 - (3*w[{0, 0, 0, 1, 5}])/2 + 3*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2 - (3*w[{0, 0, 2, 2, 2}])/4,
 w[{0, 0, 3, 0, 3, 0}] -> (7*uZeta[6])/24 + w[{0, 0, 6}]/4 + 9*uZeta[4]*w[{0, 0, 0, 0, 2}] + (29*w[{0, 0, 0, 0, 6}])/4 - 6*w[{0, 0, 0, 1, 5}] + 3*w[{0, 0, 0, 2, 4}],
 w[{0, 0, 3, 1, 0, 2}] -> (1573*uZeta[6])/480 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 - w[{0, 3}]^2/4 + (55*uZeta[4]*w[{0, 0, 2}])/8 + (3*uZeta[2]*w[{0, 0, 2}]^2)/2 + (7*uZeta[2]*w[{0, 0, 4}])/4 + (7*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (2*w[{0, 0, 6}])/3 + 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (9*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (69*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (21*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (31*w[{0, 0, 0, 0, 6}])/4 + (3*w[{0, 0, 0, 1, 5}])/2 - uZeta[2]*w[{0, 0, 0, 2, 2}] + (3*w[{0, 0, 2, 2, 2}])/4,
 w[{0, 0, 3, 1, 1, 1}] -> (9437*uZeta[6])/2880 - (11*uZeta[4]*w[{0, 1}]^2)/24 + (uZeta[3]*w[{0, 3}])/24 - (19*uZeta[2]*w[{0, 1}]*w[{0, 3}])/24 + (w[{0, 1}]^3*w[{0, 3}])/12 - (5*w[{0, 3}]^2)/72 - (w[{0, 1}]*w[{0, 5}])/12 + 7*uZeta[4]*w[{0, 0, 2}] - (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/4 + uZeta[2]*w[{0, 0, 2}]^2 + (79*uZeta[2]*w[{0, 0, 4}])/48 - (w[{0, 1}]^2*w[{0, 0, 4}])/8 - (w[{0, 0, 2}]*w[{0, 0, 4}])/8 + w[{0, 0, 6}]/6 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + 4*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (11*w[{0, 3}]*w[{0, 0, 0, 3}])/12 + (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2 - w[{0, 1}]*w[{0, 0, 2, 3}] - 25*uZeta[4]*w[{0, 0, 0, 0, 2}] - (19*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - 2*w[{0, 0, 0, 0, 6}] + 2*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2,
 w[{0, 0, 3, 1, 2, 0}] -> (17*uZeta[6])/48 + w[{0, 3}]^2/16 - (uZeta[4]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 4}])/8 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (5*w[{0, 0, 6}])/24 + (45*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (97*w[{0, 0, 0, 0, 6}])/8 - (19*w[{0, 0, 0, 1, 5}])/2 + (21*w[{0, 0, 0, 2, 4}])/4,
 w[{0, 0, 3, 2, 0, 1}] -> (2407*uZeta[6])/1440 - (uZeta[3]*w[{0, 3}])/8 - (7*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - w[{0, 3}]^2/12 + (w[{0, 1}]*w[{0, 5}])/24 + (33*uZeta[4]*w[{0, 0, 2}])/8 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + (3*uZeta[2]*w[{0, 0, 2}]^2)/2 + uZeta[2]*w[{0, 0, 4}] + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (5*w[{0, 0, 6}])/24 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (w[{0, 5}]*w[{0, 0, 0, 1}])/2 + (5*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (w[{0, 1}]*w[{0, 0, 0, 5}])/2 + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - (47*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (13*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - 8*w[{0, 0, 0, 0, 6}] + (7*w[{0, 0, 0, 1, 5}])/2 - uZeta[2]*w[{0, 0, 0, 2, 2}] - w[{0, 0, 0, 2, 4}] + (3*w[{0, 0, 2, 2, 2}])/4,
 w[{0, 0, 3, 2, 1, 0}] -> (-2653*uZeta[6])/1440 + (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - w[{0, 3}]^2/48 - (w[{0, 1}]*w[{0, 5}])/6 - (35*uZeta[4]*w[{0, 0, 2}])/8 - (uZeta[2]*w[{0, 0, 2}]^2)/2 - (5*uZeta[2]*w[{0, 0, 4}])/12 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (11*w[{0, 0, 6}])/48 - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + w[{0, 5}]*w[{0, 0, 0, 1}] - (w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (35*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (7*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - w[{0, 0, 0, 0, 6}]/2 - uZeta[2]*w[{0, 0, 0, 2, 2}] - w[{0, 0, 0, 2, 4}]/2 - w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 3, 3, 0, 0}] -> (-7*uZeta[6])/8 - (3*uZeta[4]*w[{0, 0, 2}])/2 - w[{0, 0, 6}]/8 - 8*w[{0, 0, 0, 0, 6}] + 6*w[{0, 0, 0, 1, 5}] - 3*w[{0, 0, 0, 2, 4}],
 w[{0, 0, 4, 0, 0, 2}] -> (17*uZeta[6])/18 - w[{0, 3}]^2/12 + (5*uZeta[4]*w[{0, 0, 2}])/4 + uZeta[2]*w[{0, 0, 4}] + (5*w[{0, 0, 6}])/12 + w[{0, 3}]*w[{0, 0, 0, 3}] - 9*uZeta[4]*w[{0, 0, 0, 0, 2}] - 6*uZeta[2]*w[{0, 0, 0, 0, 4}] - (13*w[{0, 0, 0, 0, 6}])/2 + 2*w[{0, 0, 0, 1, 5}] - w[{0, 0, 0, 2, 4}]/2,
 w[{0, 0, 4, 0, 1, 1}] -> (89*uZeta[6])/72 + (uZeta[4]*w[{0, 1}]^2)/24 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/24 + (9*uZeta[4]*w[{0, 0, 2}])/4 + (7*uZeta[2]*w[{0, 0, 4}])/8 - (w[{0, 1}]^2*w[{0, 0, 4}])/4 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + w[{0, 0, 6}]/48 - uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - (13*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - 6*uZeta[2]*w[{0, 0, 0, 0, 4}] - (5*w[{0, 0, 0, 0, 6}])/8 + uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/4 - w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 4, 0, 2, 0}] -> (11*uZeta[6])/72 - (uZeta[4]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/24 + 9*uZeta[4]*w[{0, 0, 0, 0, 2}] + (13*w[{0, 0, 0, 0, 6}])/2 - 4*w[{0, 0, 0, 1, 5}] + 2*w[{0, 0, 0, 2, 4}],
 w[{0, 0, 4, 1, 0, 1}] -> (553*uZeta[6])/320 - (uZeta[4]*w[{0, 1}]^2)/3 - (uZeta[3]*w[{0, 3}])/8 - (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - w[{0, 3}]^2/8 - (7*w[{0, 1}]*w[{0, 5}])/24 + (43*uZeta[4]*w[{0, 0, 2}])/12 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + uZeta[2]*w[{0, 0, 2}]^2 + uZeta[2]*w[{0, 0, 4}] - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + w[{0, 0, 6}]/6 + 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 5}]*w[{0, 0, 0, 1}])/2 - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (7*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + w[{0, 1}]*w[{0, 0, 0, 5}] + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - (41*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - 9*uZeta[2]*w[{0, 0, 0, 0, 4}] - (9*w[{0, 0, 0, 0, 6}])/2 + w[{0, 0, 0, 1, 5}] - uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 4, 1, 1, 0}] -> (-2281*uZeta[6])/2880 + (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - w[{0, 3}]^2/16 + (w[{0, 1}]*w[{0, 5}])/6 - (55*uZeta[4]*w[{0, 0, 2}])/24 - (uZeta[2]*w[{0, 0, 2}]^2)/2 - (5*uZeta[2]*w[{0, 0, 4}])/24 + (13*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (17*w[{0, 0, 6}])/24 - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - w[{0, 5}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (33*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (15*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (21*w[{0, 0, 0, 0, 6}])/8 - w[{0, 0, 0, 1, 5}] + w[{0, 0, 0, 2, 4}]/4 - w[{0, 0, 2, 2, 2}]/4,
 w[{0, 0, 5, 0, 0, 1}] -> (17*uZeta[6])/45 - w[{0, 3}]^2/24 + (uZeta[4]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/24 + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 3*uZeta[4]*w[{0, 0, 0, 0, 2}] - 3*uZeta[2]*w[{0, 0, 0, 0, 4}] - w[{0, 0, 0, 0, 6}] + w[{0, 0, 0, 1, 5}]/2,
 w[{0, 0, 5, 0, 1, 0}] -> (-29*uZeta[6])/240 - (uZeta[4]*w[{0, 0, 2}])/4 - (uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (5*w[{0, 0, 6}])/12 + 3*uZeta[4]*w[{0, 0, 0, 0, 2}] + 3*uZeta[2]*w[{0, 0, 0, 0, 4}] - (11*w[{0, 0, 0, 0, 6}])/4,
 w[{0, 1, 0, 0, 0, 5}] -> (-7*uZeta[6])/60 - (w[{0, 1}]*w[{0, 5}])/6 - (uZeta[4]*w[{0, 0, 2}])/6 - (uZeta[2]*w[{0, 0, 4}])/6 + w[{0, 0, 6}]/12 + w[{0, 5}]*w[{0, 0, 0, 1}] + uZeta[4]*w[{0, 0, 0, 0, 2}] + uZeta[2]*w[{0, 0, 0, 0, 4}] - w[{0, 0, 0, 0, 6}]/2,
 w[{0, 1, 0, 0, 1, 4}] -> (-353*uZeta[6])/2880 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/24 + (w[{0, 1}]*w[{0, 5}])/6 - (uZeta[4]*w[{0, 0, 2}])/6 - (uZeta[2]*w[{0, 0, 2}]^2)/4 - (uZeta[2]*w[{0, 0, 4}])/2 + w[{0, 0, 6}]/8 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - w[{0, 5}]*w[{0, 0, 0, 1}] + uZeta[4]*w[{0, 0, 0, 0, 2}] + (13*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + w[{0, 0, 0, 0, 6}]/2 - w[{0, 0, 0, 1, 5}]/2 + (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 1, 0, 0, 2, 3}] -> (2669*uZeta[6])/2880 + w[{0, 3}]^2/24 - (w[{0, 1}]*w[{0, 5}])/6 + (7*uZeta[4]*w[{0, 0, 2}])/3 - (uZeta[2]*w[{0, 0, 2}]^2)/4 - (uZeta[2]*w[{0, 0, 4}])/4 + w[{0, 0, 6}]/24 + w[{0, 5}]*w[{0, 0, 0, 1}] - (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 10*uZeta[4]*w[{0, 0, 0, 0, 2}] + (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - w[{0, 0, 0, 0, 6}]/2 + w[{0, 0, 0, 1, 5}]/2 + (3*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - w[{0, 0, 0, 2, 4}]/2,
 w[{0, 1, 0, 0, 3, 2}] -> (6523*uZeta[6])/2880 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/24 + (w[{0, 1}]*w[{0, 5}])/6 + 5*uZeta[4]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 0, 2}]^2)/4 + (5*uZeta[2]*w[{0, 0, 4}])/6 - w[{0, 0, 6}]/12 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - w[{0, 5}]*w[{0, 0, 0, 1}] - 22*uZeta[4]*w[{0, 0, 0, 0, 2}] - (17*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (15*w[{0, 0, 0, 0, 6}])/4 + (5*w[{0, 0, 0, 1, 5}])/2 + (3*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - w[{0, 0, 0, 2, 4}],
 w[{0, 1, 0, 0, 4, 1}] -> (929*uZeta[6])/576 + (uZeta[4]*w[{0, 1}]^2)/3 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + w[{0, 3}]^2/8 - (w[{0, 1}]*w[{0, 5}])/12 + (19*uZeta[4]*w[{0, 0, 2}])/6 + (uZeta[2]*w[{0, 0, 2}]^2)/4 + (7*uZeta[2]*w[{0, 0, 4}])/6 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/2 - 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + w[{0, 5}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - w[{0, 3}]*w[{0, 0, 0, 3}] - (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - 15*uZeta[4]*w[{0, 0, 0, 0, 2}] - (37*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (17*w[{0, 0, 0, 0, 6}])/4 - w[{0, 0, 0, 1, 5}]/2 + (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 1, 0, 0, 5, 0}] -> (7*uZeta[6])/20 + (uZeta[4]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/4 - 3*uZeta[4]*w[{0, 0, 0, 0, 2}] - 3*uZeta[2]*w[{0, 0, 0, 0, 4}] + (3*w[{0, 0, 0, 0, 6}])/2,
 w[{0, 1, 0, 1, 0, 4}] -> (-273*uZeta[6])/320 - 2*uZeta[4]*w[{0, 0, 2}] - (uZeta[2]*w[{0, 0, 2}]^2)/2 - (5*uZeta[2]*w[{0, 0, 4}])/12 + w[{0, 0, 6}]/8 + (15*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (5*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (3*w[{0, 0, 0, 0, 6}])/4,
 w[{0, 1, 0, 1, 1, 3}] -> (-529*uZeta[6])/240 - (39*uZeta[4]*w[{0, 0, 2}])/8 + (uZeta[2]*w[{0, 0, 2}]^2)/2 - (uZeta[2]*w[{0, 0, 4}])/3 - (w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (7*w[{0, 0, 6}])/48 + 22*uZeta[4]*w[{0, 0, 0, 0, 2}] + (uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - w[{0, 0, 0, 0, 6}]/8 - w[{0, 0, 0, 1, 5}]/2 - 3*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/4 - w[{0, 0, 2, 2, 2}]/4,
 w[{0, 1, 0, 1, 2, 2}] -> (487*uZeta[6])/576 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/24 + (11*uZeta[4]*w[{0, 0, 2}])/3 + (11*uZeta[2]*w[{0, 0, 2}]^2)/2 + (3*uZeta[2]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/16 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - 7*uZeta[4]*w[{0, 0, 0, 0, 2}] - (25*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (17*w[{0, 0, 0, 0, 6}])/8 + 2*w[{0, 0, 0, 1, 5}] - 7*uZeta[2]*w[{0, 0, 0, 2, 2}] - (5*w[{0, 0, 0, 2, 4}])/4,
 w[{0, 1, 0, 1, 3, 1}] -> (3757*uZeta[6])/1440 + (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (5*uZeta[4]*w[{0, 1}]^2)/2 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/4 + w[{0, 3}]^2/6 + (w[{0, 1}]*w[{0, 5}])/12 + 7*uZeta[4]*w[{0, 0, 2}] + 6*uZeta[2]*w[{0, 0, 2}]^2 + (23*uZeta[2]*w[{0, 0, 4}])/8 - w[{0, 0, 2}]*w[{0, 0, 4}] - (7*w[{0, 0, 6}])/8 - 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + (3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - 2*w[{0, 3}]*w[{0, 0, 0, 3}] - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 12*uZeta[4]*w[{0, 0, 0, 0, 2}] - 24*uZeta[2]*w[{0, 0, 0, 0, 4}] + (23*w[{0, 0, 0, 0, 6}])/4 + w[{0, 0, 0, 1, 5}] - 6*uZeta[2]*w[{0, 0, 0, 2, 2}] - (3*w[{0, 0, 0, 2, 4}])/2 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 1, 0, 1, 4, 0}] -> (3457*uZeta[6])/2880 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/12 + (w[{0, 1}]*w[{0, 5}])/6 + (7*uZeta[4]*w[{0, 0, 2}])/3 + uZeta[2]*w[{0, 0, 2}]^2 + (17*uZeta[2]*w[{0, 0, 4}])/12 - (3*w[{0, 0, 6}])/8 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - w[{0, 5}]*w[{0, 0, 0, 1}] - (17*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - 9*uZeta[2]*w[{0, 0, 0, 0, 4}] - w[{0, 0, 0, 0, 6}]/4 + w[{0, 0, 0, 1, 5}] - uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{0, 1, 0, 2, 0, 3}] -> (-2203*uZeta[6])/720 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/6 - (23*uZeta[4]*w[{0, 0, 2}])/3 - uZeta[2]*w[{0, 0, 2}]^2 - (uZeta[2]*w[{0, 0, 4}])/2 + w[{0, 0, 6}]/24 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + w[{0, 3}]*w[{0, 0, 0, 3}] + 30*uZeta[4]*w[{0, 0, 0, 0, 2}] + 2*uZeta[2]*w[{0, 0, 0, 0, 4}] + (23*w[{0, 0, 0, 0, 6}])/4 - 4*w[{0, 0, 0, 1, 5}] - 2*uZeta[2]*w[{0, 0, 0, 2, 2}] + 2*w[{0, 0, 0, 2, 4}],
 w[{0, 1, 0, 2, 1, 2}] -> (-19771*uZeta[6])/2880 + w[{0, 3}]^2/6 - (121*uZeta[4]*w[{0, 0, 2}])/8 + (9*uZeta[2]*w[{0, 0, 2}]^2)/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/8 + w[{0, 0, 6}]/8 - (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (129*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (21*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (23*w[{0, 0, 0, 0, 6}])/4 - 5*w[{0, 0, 0, 1, 5}] - (21*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + 3*w[{0, 0, 0, 2, 4}] + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 1, 0, 2, 2, 1}] -> (-2353*uZeta[6])/960 + (uZeta[2]*uZeta[3]*w[{0, 1}])/2 + (10*uZeta[4]*w[{0, 1}]^2)/3 + (2*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/8 - (85*uZeta[4]*w[{0, 0, 2}])/24 + (29*uZeta[2]*w[{0, 0, 2}]^2)/4 + (31*uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 0, 2}]*w[{0, 0, 4}])/8 - w[{0, 0, 6}]/16 - 20*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 40*uZeta[4]*w[{0, 0, 0, 0, 2}] - (49*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (29*w[{0, 0, 0, 0, 6}])/8 + 3*w[{0, 0, 0, 1, 5}] - (23*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - (7*w[{0, 0, 0, 2, 4}])/4 - (3*w[{0, 0, 2, 2, 2}])/4,
 w[{0, 1, 0, 2, 3, 0}] -> (193*uZeta[6])/160 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/6 + 3*uZeta[4]*w[{0, 0, 2}] + (3*uZeta[2]*w[{0, 0, 2}]^2)/2 + uZeta[2]*w[{0, 0, 4}] - w[{0, 0, 6}]/8 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + w[{0, 5}]*w[{0, 0, 0, 1}] - 10*uZeta[4]*w[{0, 0, 0, 0, 2}] - (13*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (19*w[{0, 0, 0, 0, 6}])/4 + 3*w[{0, 0, 0, 1, 5}] - uZeta[2]*w[{0, 0, 0, 2, 2}] - w[{0, 0, 0, 2, 4}],
 w[{0, 1, 0, 3, 0, 2}] -> (-739*uZeta[6])/144 - (45*uZeta[4]*w[{0, 0, 2}])/4 - (5*uZeta[2]*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + 46*uZeta[4]*w[{0, 0, 0, 0, 2}] + 5*uZeta[2]*w[{0, 0, 0, 0, 4}] + 3*w[{0, 0, 0, 0, 6}] - 2*w[{0, 0, 0, 1, 5}] - 4*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}],
 w[{0, 1, 0, 3, 1, 1}] -> (-8563*uZeta[6])/1440 + (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (17*uZeta[4]*w[{0, 1}]^2)/6 - (uZeta[3]*w[{0, 3}])/8 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - (11*w[{0, 3}]^2)/24 - (w[{0, 1}]*w[{0, 5}])/4 - (101*uZeta[4]*w[{0, 0, 2}])/8 + (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 0, 2}]^2)/2 - (19*uZeta[2]*w[{0, 0, 4}])/6 - (w[{0, 1}]^2*w[{0, 0, 4}])/4 + (7*w[{0, 0, 6}])/6 - 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (13*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (21*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + 2*w[{0, 1}]*w[{0, 0, 0, 5}] - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 + 56*uZeta[4]*w[{0, 0, 0, 0, 2}] + 16*uZeta[2]*w[{0, 0, 0, 0, 4}] - (27*w[{0, 0, 0, 0, 6}])/2 + w[{0, 0, 0, 1, 5}] - 6*uZeta[2]*w[{0, 0, 0, 2, 2}] + 2*w[{0, 0, 0, 2, 4}],
 w[{0, 1, 0, 3, 2, 0}] -> (-229*uZeta[6])/480 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/12 + (w[{0, 1}]*w[{0, 5}])/6 - (5*uZeta[4]*w[{0, 0, 2}])/4 - (3*uZeta[2]*w[{0, 0, 2}]^2)/2 - (3*uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + w[{0, 0, 6}]/6 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - w[{0, 5}]*w[{0, 0, 0, 1}] - 2*uZeta[4]*w[{0, 0, 0, 0, 2}] + (13*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (9*w[{0, 0, 0, 0, 6}])/2 - 3*w[{0, 0, 0, 1, 5}] + uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}],
 w[{0, 1, 0, 4, 0, 1}] -> (-787*uZeta[6])/288 + (uZeta[4]*w[{0, 1}]^2)/3 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/6 - (w[{0, 1}]*w[{0, 5}])/6 - (11*uZeta[4]*w[{0, 0, 2}])/2 - (4*uZeta[2]*w[{0, 0, 4}])/3 + w[{0, 0, 2}]*w[{0, 0, 4}] + (3*w[{0, 0, 6}])/4 - 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + 2*w[{0, 3}]*w[{0, 0, 0, 3}] + w[{0, 1}]*w[{0, 0, 0, 5}] + 25*uZeta[4]*w[{0, 0, 0, 0, 2}] + 12*uZeta[2]*w[{0, 0, 0, 0, 4}] - (19*w[{0, 0, 0, 0, 6}])/2 + 2*w[{0, 0, 0, 1, 5}] - 2*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{0, 1, 0, 4, 1, 0}] -> (-71*uZeta[6])/144 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/6 - (5*uZeta[4]*w[{0, 0, 2}])/6 - (uZeta[2]*w[{0, 0, 2}]^2)/2 - uZeta[2]*w[{0, 0, 4}] + w[{0, 0, 6}]/4 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + w[{0, 5}]*w[{0, 0, 0, 1}] + 5*uZeta[4]*w[{0, 0, 0, 0, 2}] + (13*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + w[{0, 0, 0, 0, 6}] - w[{0, 0, 0, 1, 5}] + uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{0, 1, 1, 0, 0, 4}] -> (-211*uZeta[6])/720 - w[{0, 3}]^2/24 - (uZeta[4]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 2}]^2)/4 + (uZeta[2]*w[{0, 0, 4}])/12 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + w[{0, 0, 6}]/8 + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (7*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (7*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - 2*w[{0, 0, 0, 0, 6}] + w[{0, 0, 0, 1, 5}]/2 - (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 1, 1, 0, 1, 3}] -> (779*uZeta[6])/720 - w[{0, 3}]^2/12 + (3*uZeta[4]*w[{0, 0, 2}])/2 - (7*uZeta[2]*w[{0, 0, 2}]^2)/2 - (19*uZeta[2]*w[{0, 0, 4}])/24 + w[{0, 0, 2}]*w[{0, 0, 4}] + (7*w[{0, 0, 6}])/24 + w[{0, 3}]*w[{0, 0, 0, 3}] - 16*uZeta[4]*w[{0, 0, 0, 0, 2}] + (23*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (11*w[{0, 0, 0, 0, 6}])/4 + 6*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 1, 1, 0, 2, 2}] -> (3031*uZeta[6])/720 + (53*uZeta[4]*w[{0, 0, 2}])/8 - (31*uZeta[2]*w[{0, 0, 2}]^2)/4 - (35*uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 0, 2}]*w[{0, 0, 4}])/8 - 45*uZeta[4]*w[{0, 0, 0, 0, 2}] + (59*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (29*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 1, 1, 0, 3, 1}] -> (2861*uZeta[6])/720 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (5*uZeta[4]*w[{0, 1}]^2)/2 + (uZeta[3]*w[{0, 3}])/8 - uZeta[2]*w[{0, 1}]*w[{0, 3}] + (3*w[{0, 3}]^2)/8 + (w[{0, 1}]*w[{0, 5}])/12 + (61*uZeta[4]*w[{0, 0, 2}])/8 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - 3*uZeta[2]*w[{0, 0, 2}]^2 + (13*uZeta[2]*w[{0, 0, 4}])/8 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - (35*w[{0, 0, 6}])/48 + 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (17*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - w[{0, 1}]*w[{0, 0, 0, 5}] + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 50*uZeta[4]*w[{0, 0, 0, 0, 2}] - 4*uZeta[2]*w[{0, 0, 0, 0, 4}] + (85*w[{0, 0, 0, 0, 6}])/8 - (3*w[{0, 0, 0, 1, 5}])/2 + 9*uZeta[2]*w[{0, 0, 0, 2, 2}] - (5*w[{0, 0, 0, 2, 4}])/4 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 1, 1, 0, 4, 0}] -> (577*uZeta[6])/576 + w[{0, 3}]^2/12 + (5*uZeta[4]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 4}])/4 - w[{0, 0, 2}]*w[{0, 0, 4}] - (3*w[{0, 0, 6}])/8 - w[{0, 3}]*w[{0, 0, 0, 3}] - (25*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - 6*uZeta[2]*w[{0, 0, 0, 0, 4}] + (19*w[{0, 0, 0, 0, 6}])/4 - w[{0, 0, 0, 1, 5}] + uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{0, 1, 1, 1, 0, 3}] -> (-49*uZeta[6])/36 - w[{0, 3}]^2/12 - (17*uZeta[4]*w[{0, 0, 2}])/8 + (5*uZeta[2]*w[{0, 0, 2}]^2)/2 - (5*uZeta[2]*w[{0, 0, 4}])/12 - (5*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (7*w[{0, 0, 6}])/48 + w[{0, 3}]*w[{0, 0, 0, 3}] + 22*uZeta[4]*w[{0, 0, 0, 0, 2}] - (5*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (21*w[{0, 0, 0, 0, 6}])/8 + w[{0, 0, 0, 1, 5}]/2 - 5*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/4 - w[{0, 0, 2, 2, 2}]/4,
 w[{0, 1, 1, 1, 1, 2}] -> (-529*uZeta[6])/240 - w[{0, 3}]^2/12 - 2*uZeta[4]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 0, 2}]^2)/2 - (11*uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + w[{0, 0, 6}]/6 + w[{0, 3}]*w[{0, 0, 0, 3}] + 15*uZeta[4]*w[{0, 0, 0, 0, 2}] + (uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - 2*w[{0, 0, 0, 0, 6}] - 2*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2,
 w[{0, 1, 1, 1, 2, 1}] -> (7831*uZeta[6])/1440 - (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/4 + (7*w[{0, 3}]^2)/24 + (w[{0, 1}]*w[{0, 5}])/12 + (25*uZeta[4]*w[{0, 0, 2}])/4 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - 3*uZeta[2]*w[{0, 0, 2}]^2 + (9*uZeta[2]*w[{0, 0, 4}])/8 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (2*w[{0, 0, 6}])/3 - 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - (15*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2 + w[{0, 1}]*w[{0, 0, 2, 3}] - 40*uZeta[4]*w[{0, 0, 0, 0, 2}] + 3*uZeta[2]*w[{0, 0, 0, 0, 4}] + 8*w[{0, 0, 0, 0, 6}] + 12*uZeta[2]*w[{0, 0, 0, 2, 2}] - 2*w[{0, 0, 0, 2, 4}],
 w[{0, 1, 1, 1, 3, 0}] -> (149*uZeta[6])/60 + w[{0, 3}]^2/6 + (11*uZeta[4]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 2}]^2)/2 + (37*uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (7*w[{0, 0, 6}])/12 - 2*w[{0, 3}]*w[{0, 0, 0, 3}] - 28*uZeta[4]*w[{0, 0, 0, 0, 2}] - (19*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (11*w[{0, 0, 0, 0, 6}])/2 + 2*uZeta[2]*w[{0, 0, 0, 2, 2}] - w[{0, 0, 0, 2, 4}],
 w[{0, 1, 1, 2, 0, 2}] -> (-18409*uZeta[6])/2880 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/24 - (40*uZeta[4]*w[{0, 0, 2}])/3 + 7*uZeta[2]*w[{0, 0, 2}]^2 + (7*uZeta[2]*w[{0, 0, 4}])/8 - w[{0, 0, 6}]/16 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + 71*uZeta[4]*w[{0, 0, 0, 0, 2}] - 11*uZeta[2]*w[{0, 0, 0, 0, 4}] - (5*w[{0, 0, 0, 0, 6}])/8 + w[{0, 0, 0, 1, 5}] - 16*uZeta[2]*w[{0, 0, 0, 2, 2}] - (3*w[{0, 0, 0, 2, 4}])/4 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 1, 1, 2, 1, 1}] -> (-3221*uZeta[6])/360 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (19*uZeta[4]*w[{0, 1}]^2)/4 + (uZeta[3]*w[{0, 3}])/4 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/4 - (5*w[{0, 3}]^2)/12 - (w[{0, 1}]*w[{0, 5}])/4 - (313*uZeta[4]*w[{0, 0, 2}])/24 + (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 + w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] + 3*uZeta[2]*w[{0, 0, 2}]^2 - (71*uZeta[2]*w[{0, 0, 4}])/48 - (w[{0, 1}]^2*w[{0, 0, 4}])/8 - (7*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + w[{0, 0, 6}] - 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 12*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (11*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (11*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (9*w[{0, 1}]*w[{0, 0, 0, 5}])/2 - 3*w[{0, 1}]*w[{0, 0, 2, 3}] + 60*uZeta[4]*w[{0, 0, 0, 0, 2}] - (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - 12*w[{0, 0, 0, 0, 6}] - 18*uZeta[2]*w[{0, 0, 0, 2, 2}] + 3*w[{0, 0, 0, 2, 4}],
 w[{0, 1, 1, 2, 2, 0}] -> (77*uZeta[6])/90 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/12 + (13*uZeta[4]*w[{0, 0, 2}])/24 - (9*uZeta[2]*w[{0, 0, 2}]^2)/4 - (uZeta[2]*w[{0, 0, 4}])/3 + (w[{0, 0, 2}]*w[{0, 0, 4}])/8 + w[{0, 0, 6}]/8 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - 19*uZeta[4]*w[{0, 0, 0, 0, 2}] + (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (11*w[{0, 0, 0, 0, 6}])/4 - 3*w[{0, 0, 0, 1, 5}] + (3*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + 2*w[{0, 0, 0, 2, 4}] + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 1, 1, 3, 0, 1}] -> (-2621*uZeta[6])/480 - (uZeta[3]*w[{0, 3}])/8 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/4 - (11*w[{0, 3}]^2)/24 - (w[{0, 1}]*w[{0, 5}])/6 - (45*uZeta[4]*w[{0, 0, 2}])/4 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (27*uZeta[2]*w[{0, 0, 4}])/8 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (7*w[{0, 0, 6}])/6 - 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - 4*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (21*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + w[{0, 1}]*w[{0, 0, 0, 5}] + 56*uZeta[4]*w[{0, 0, 0, 0, 2}] + 16*uZeta[2]*w[{0, 0, 0, 0, 4}] - (27*w[{0, 0, 0, 0, 6}])/2 + w[{0, 0, 0, 1, 5}] - 6*uZeta[2]*w[{0, 0, 0, 2, 2}] + 2*w[{0, 0, 0, 2, 4}],
 w[{0, 1, 1, 3, 1, 0}] -> (-101*uZeta[6])/90 - w[{0, 3}]^2/12 - (27*uZeta[4]*w[{0, 0, 2}])/8 - 3*uZeta[2]*w[{0, 0, 2}]^2 - (9*uZeta[2]*w[{0, 0, 4}])/8 + (7*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (7*w[{0, 0, 6}])/16 + w[{0, 3}]*w[{0, 0, 0, 3}] + 6*uZeta[4]*w[{0, 0, 0, 0, 2}] + 12*uZeta[2]*w[{0, 0, 0, 0, 4}] - (23*w[{0, 0, 0, 0, 6}])/8 - w[{0, 0, 0, 1, 5}]/2 + 3*uZeta[2]*w[{0, 0, 0, 2, 2}] + (3*w[{0, 0, 0, 2, 4}])/4 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 1, 2, 0, 0, 3}] -> (2297*uZeta[6])/2880 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + w[{0, 3}]^2/8 + (7*uZeta[4]*w[{0, 0, 2}])/3 + (3*uZeta[2]*w[{0, 0, 2}]^2)/4 + (uZeta[2]*w[{0, 0, 4}])/12 + w[{0, 0, 6}]/24 + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (3*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - 10*uZeta[4]*w[{0, 0, 0, 0, 2}] - (3*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - 3*w[{0, 0, 0, 0, 6}] + (3*w[{0, 0, 0, 1, 5}])/2 - (uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - w[{0, 0, 0, 2, 4}]/2,
 w[{0, 1, 2, 0, 1, 2}] -> (14713*uZeta[6])/2880 - w[{0, 3}]^2/8 + (87*uZeta[4]*w[{0, 0, 2}])/8 - (27*uZeta[2]*w[{0, 0, 2}]^2)/4 - (3*uZeta[2]*w[{0, 0, 4}])/2 + (w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (5*w[{0, 0, 6}])/24 + (3*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - (135*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (63*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (15*w[{0, 0, 0, 0, 6}])/4 + w[{0, 0, 0, 1, 5}] + (27*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 1, 2, 0, 2, 1}] -> (304*uZeta[6])/45 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (25*uZeta[4]*w[{0, 1}]^2)/6 - (uZeta[3]*w[{0, 3}])/8 - uZeta[2]*w[{0, 1}]*w[{0, 3}] + w[{0, 3}]^2/12 + (73*uZeta[4]*w[{0, 0, 2}])/6 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (21*uZeta[2]*w[{0, 0, 2}]^2)/2 - (17*uZeta[2]*w[{0, 0, 4}])/12 - (5*w[{0, 0, 6}])/24 + 25*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (7*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (5*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (w[{0, 1}]*w[{0, 0, 0, 5}])/2 + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 82*uZeta[4]*w[{0, 0, 0, 0, 2}] + (33*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (21*w[{0, 0, 0, 0, 6}])/4 - 2*w[{0, 0, 0, 1, 5}] + 21*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2 + w[{0, 0, 2, 2, 2}],
 w[{0, 1, 2, 0, 3, 0}] -> (703*uZeta[6])/480 - w[{0, 3}]^2/12 + 3*uZeta[4]*w[{0, 0, 2}] - (uZeta[2]*w[{0, 0, 2}]^2)/2 + (uZeta[2]*w[{0, 0, 4}])/3 - w[{0, 0, 6}]/8 - 10*uZeta[4]*w[{0, 0, 0, 0, 2}] - (uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + w[{0, 0, 0, 0, 6}]/4 + w[{0, 0, 0, 1, 5}] + 3*uZeta[2]*w[{0, 0, 0, 2, 2}] - w[{0, 0, 0, 2, 4}],
 w[{0, 1, 2, 1, 0, 2}] -> (2113*uZeta[6])/720 + (uZeta[3]*w[{0, 3}])/8 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + w[{0, 3}]^2/8 + (191*uZeta[4]*w[{0, 0, 2}])/24 + (27*uZeta[2]*w[{0, 0, 2}]^2)/4 + (25*uZeta[2]*w[{0, 0, 4}])/12 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + w[{0, 0, 6}]/8 - 5*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (w[{0, 3}]*w[{0, 0, 0, 3}])/4 - 5*uZeta[4]*w[{0, 0, 0, 0, 2}] - (63*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - w[{0, 0, 0, 0, 6}]/4 - w[{0, 0, 0, 1, 5}] - (15*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + w[{0, 0, 0, 2, 4}] - w[{0, 0, 2, 2, 2}]/4,
 w[{0, 1, 2, 1, 1, 1}] -> (1993*uZeta[6])/320 + (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (133*uZeta[4]*w[{0, 1}]^2)/24 - (uZeta[3]*w[{0, 3}])/6 - (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/24 - (w[{0, 1}]^3*w[{0, 3}])/12 + (5*w[{0, 3}]^2)/18 + (w[{0, 1}]*w[{0, 5}])/4 + (119*uZeta[4]*w[{0, 0, 2}])/12 - (3*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 - (3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/4 - (3*uZeta[2]*w[{0, 0, 2}]^2)/2 + (11*uZeta[2]*w[{0, 0, 4}])/12 + (w[{0, 1}]^2*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (2*w[{0, 0, 6}])/3 + 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 8*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (11*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (11*w[{0, 3}]*w[{0, 0, 0, 3}])/3 - (9*w[{0, 1}]*w[{0, 0, 0, 5}])/2 + 3*w[{0, 1}]*w[{0, 0, 2, 3}] - 40*uZeta[4]*w[{0, 0, 0, 0, 2}] + 3*uZeta[2]*w[{0, 0, 0, 0, 4}] + 8*w[{0, 0, 0, 0, 6}] + 12*uZeta[2]*w[{0, 0, 0, 2, 2}] - 2*w[{0, 0, 0, 2, 4}],
 w[{0, 1, 2, 1, 2, 0}] -> (69*uZeta[6])/32 + (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 - w[{0, 3}]^2/6 + (37*uZeta[4]*w[{0, 0, 2}])/8 - (3*uZeta[2]*w[{0, 0, 2}]^2)/4 - (uZeta[2]*w[{0, 0, 4}])/4 - (5*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - (11*w[{0, 0, 6}])/24 - 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (w[{0, 3}]*w[{0, 0, 0, 3}])/4 + 3*uZeta[4]*w[{0, 0, 0, 0, 2}] + (15*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (7*w[{0, 0, 0, 0, 6}])/4 + 5*w[{0, 0, 0, 1, 5}] + (15*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - 4*w[{0, 0, 0, 2, 4}] - w[{0, 0, 2, 2, 2}]/4,
 w[{0, 1, 2, 2, 0, 1}] -> (-2353*uZeta[6])/960 + (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (5*uZeta[4]*w[{0, 1}]^2)/6 + (uZeta[3]*w[{0, 3}])/8 + (2*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - (85*uZeta[4]*w[{0, 0, 2}])/24 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + (29*uZeta[2]*w[{0, 0, 2}]^2)/4 + (31*uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 0, 2}]*w[{0, 0, 4}])/8 - w[{0, 0, 6}]/16 - 5*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 + 40*uZeta[4]*w[{0, 0, 0, 0, 2}] - (49*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (29*w[{0, 0, 0, 0, 6}])/8 + 3*w[{0, 0, 0, 1, 5}] - (23*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - (7*w[{0, 0, 0, 2, 4}])/4 - (3*w[{0, 0, 2, 2, 2}])/4,
 w[{0, 1, 2, 2, 1, 0}] -> (-2669*uZeta[6])/1440 - (uZeta[3]*w[{0, 3}])/4 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/24 - (61*uZeta[4]*w[{0, 0, 2}])/12 - 4*uZeta[2]*w[{0, 0, 2}]^2 - (7*uZeta[2]*w[{0, 0, 4}])/6 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + w[{0, 0, 6}]/3 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 2*uZeta[4]*w[{0, 0, 0, 0, 2}] + 8*uZeta[2]*w[{0, 0, 0, 0, 4}] + 2*w[{0, 0, 0, 0, 6}] - 4*w[{0, 0, 0, 1, 5}] + 2*uZeta[2]*w[{0, 0, 0, 2, 2}] + 3*w[{0, 0, 0, 2, 4}] + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 1, 3, 0, 0, 2}] -> (969*uZeta[6])/320 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/24 + (71*uZeta[4]*w[{0, 0, 2}])/12 + (3*uZeta[2]*w[{0, 0, 2}]^2)/4 + (5*uZeta[2]*w[{0, 0, 4}])/3 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + w[{0, 0, 6}]/12 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - 26*uZeta[4]*w[{0, 0, 0, 0, 2}] - (39*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (9*w[{0, 0, 0, 0, 6}])/4 - (3*w[{0, 0, 0, 1, 5}])/2 - (uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + w[{0, 0, 0, 2, 4}]/2,
 w[{0, 1, 3, 0, 1, 1}] -> (6947*uZeta[6])/1440 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (17*uZeta[4]*w[{0, 1}]^2)/6 + (uZeta[3]*w[{0, 3}])/8 - (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + (3*w[{0, 3}]^2)/8 + (w[{0, 1}]*w[{0, 5}])/4 + (37*uZeta[4]*w[{0, 0, 2}])/4 - (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (5*uZeta[2]*w[{0, 0, 2}]^2)/2 + (49*uZeta[2]*w[{0, 0, 4}])/24 + (w[{0, 1}]^2*w[{0, 0, 4}])/4 + (7*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - (35*w[{0, 0, 6}])/48 + 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (13*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (17*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - 2*w[{0, 1}]*w[{0, 0, 0, 5}] + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 50*uZeta[4]*w[{0, 0, 0, 0, 2}] - 4*uZeta[2]*w[{0, 0, 0, 0, 4}] + (85*w[{0, 0, 0, 0, 6}])/8 - (3*w[{0, 0, 0, 1, 5}])/2 + 9*uZeta[2]*w[{0, 0, 0, 2, 2}] - (5*w[{0, 0, 0, 2, 4}])/4 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 1, 3, 0, 2, 0}] -> (229*uZeta[6])/360 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/12 + (23*uZeta[4]*w[{0, 0, 2}])/12 + uZeta[2]*w[{0, 0, 2}]^2 + (uZeta[2]*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/6 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + 6*uZeta[4]*w[{0, 0, 0, 0, 2}] - 2*uZeta[2]*w[{0, 0, 0, 0, 4}] - (15*w[{0, 0, 0, 0, 6}])/2 + 5*w[{0, 0, 0, 1, 5}] + 2*uZeta[2]*w[{0, 0, 0, 2, 2}] - 2*w[{0, 0, 0, 2, 4}],
 w[{0, 1, 3, 1, 0, 1}] -> (101*uZeta[6])/45 + w[{0, 3}]^2/6 + (27*uZeta[4]*w[{0, 0, 2}])/4 + 6*uZeta[2]*w[{0, 0, 2}]^2 + (9*uZeta[2]*w[{0, 0, 4}])/4 - (7*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (7*w[{0, 0, 6}])/8 - 2*w[{0, 3}]*w[{0, 0, 0, 3}] - 12*uZeta[4]*w[{0, 0, 0, 0, 2}] - 24*uZeta[2]*w[{0, 0, 0, 0, 4}] + (23*w[{0, 0, 0, 0, 6}])/4 + w[{0, 0, 0, 1, 5}] - 6*uZeta[2]*w[{0, 0, 0, 2, 2}] - (3*w[{0, 0, 0, 2, 4}])/2 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 1, 4, 0, 0, 1}] -> (929*uZeta[6])/576 + (uZeta[4]*w[{0, 1}]^2)/3 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 + w[{0, 3}]^2/8 + (7*w[{0, 1}]*w[{0, 5}])/24 + (19*uZeta[4]*w[{0, 0, 2}])/6 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 2}]^2)/4 + (7*uZeta[2]*w[{0, 0, 4}])/6 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/2 - 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (w[{0, 5}]*w[{0, 0, 0, 1}])/2 + uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - w[{0, 3}]*w[{0, 0, 0, 3}] - w[{0, 1}]*w[{0, 0, 0, 5}] - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 15*uZeta[4]*w[{0, 0, 0, 0, 2}] - (37*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (17*w[{0, 0, 0, 0, 6}])/4 - w[{0, 0, 0, 1, 5}]/2 + (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 2, 0, 0, 0, 4}] -> (-7*uZeta[6])/12 - (5*uZeta[4]*w[{0, 0, 2}])/4 - (uZeta[2]*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/12 + 7*uZeta[4]*w[{0, 0, 0, 0, 2}] + w[{0, 0, 0, 0, 6}]/2,
 w[{0, 2, 0, 0, 1, 3}] -> (-307*uZeta[6])/288 - w[{0, 3}]^2/24 - (9*uZeta[4]*w[{0, 0, 2}])/4 - (3*uZeta[2]*w[{0, 0, 4}])/8 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - w[{0, 0, 6}]/24 + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 12*uZeta[4]*w[{0, 0, 0, 0, 2}] - w[{0, 0, 0, 0, 6}] + w[{0, 0, 0, 1, 5}]/2,
 w[{0, 2, 0, 0, 2, 2}] -> (281*uZeta[6])/180 + (19*uZeta[4]*w[{0, 0, 2}])/4 + (3*uZeta[2]*w[{0, 0, 2}]^2)/2 - (uZeta[2]*w[{0, 0, 4}])/8 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - 12*uZeta[4]*w[{0, 0, 0, 0, 2}] + (3*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (3*w[{0, 0, 0, 0, 6}])/2 - w[{0, 0, 0, 1, 5}] + w[{0, 0, 0, 2, 4}]/2,
 w[{0, 2, 0, 0, 3, 1}] -> (2851*uZeta[6])/960 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - w[{0, 3}]^2/24 - (w[{0, 1}]*w[{0, 5}])/12 + (15*uZeta[4]*w[{0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + (5*uZeta[2]*w[{0, 0, 2}]^2)/4 + (uZeta[2]*w[{0, 0, 4}])/24 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + w[{0, 0, 6}]/12 - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - 26*uZeta[4]*w[{0, 0, 0, 0, 2}] + (3*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (9*w[{0, 0, 0, 0, 6}])/4 - (3*w[{0, 0, 0, 1, 5}])/2 + (uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + w[{0, 0, 0, 2, 4}]/2,
 w[{0, 2, 0, 0, 4, 0}] -> (7*uZeta[6])/8 + (7*uZeta[4]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + w[{0, 0, 6}]/4 - 9*uZeta[4]*w[{0, 0, 0, 0, 2}] - (3*w[{0, 0, 0, 0, 6}])/2,
 w[{0, 2, 0, 1, 0, 3}] -> (-91*uZeta[6])/48 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/6 - (67*uZeta[4]*w[{0, 0, 2}])/12 - 2*uZeta[2]*w[{0, 0, 2}]^2 + (uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/24 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - w[{0, 3}]*w[{0, 0, 0, 3}] + 12*uZeta[4]*w[{0, 0, 0, 0, 2}] + w[{0, 0, 0, 0, 6}]/4,
 w[{0, 2, 0, 1, 1, 2}] -> (-2591*uZeta[6])/720 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/8 - (265*uZeta[4]*w[{0, 0, 2}])/24 - (uZeta[2]*w[{0, 0, 2}]^2)/4 + (5*uZeta[2]*w[{0, 0, 4}])/8 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 - w[{0, 0, 6}]/16 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (113*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (19*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (7*w[{0, 0, 0, 0, 6}])/8 - (7*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - w[{0, 0, 0, 2, 4}]/4 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 2, 0, 1, 2, 1}] -> (1147*uZeta[6])/720 + (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (25*uZeta[4]*w[{0, 1}]^2)/6 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/6 + (81*uZeta[4]*w[{0, 0, 2}])/8 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + (43*uZeta[2]*w[{0, 0, 2}]^2)/4 + (11*uZeta[2]*w[{0, 0, 4}])/12 - (5*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + w[{0, 0, 6}]/8 - 25*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - (w[{0, 1}]*w[{0, 0, 0, 5}])/2 + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 5*uZeta[4]*w[{0, 0, 0, 0, 2}] - (47*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - w[{0, 0, 0, 0, 6}]/4 - w[{0, 0, 0, 1, 5}] - (19*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + w[{0, 0, 0, 2, 4}] - w[{0, 0, 2, 2, 2}]/4,
 w[{0, 2, 0, 1, 3, 0}] -> (517*uZeta[6])/144 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/12 + (115*uZeta[4]*w[{0, 0, 2}])/12 + 2*uZeta[2]*w[{0, 0, 2}]^2 - (uZeta[2]*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + w[{0, 0, 6}]/8 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - 36*uZeta[4]*w[{0, 0, 0, 0, 2}] + (7*w[{0, 0, 0, 0, 6}])/4 - w[{0, 0, 0, 1, 5}],
 w[{0, 2, 0, 2, 0, 2}] -> (-5147*uZeta[6])/720 - 17*uZeta[4]*w[{0, 0, 2}] - 2*uZeta[2]*w[{0, 0, 2}]^2 - (uZeta[2]*w[{0, 0, 4}])/6 + 48*uZeta[4]*w[{0, 0, 0, 0, 2}] - 2*uZeta[2]*w[{0, 0, 0, 0, 4}] - 6*w[{0, 0, 0, 0, 6}] + 4*w[{0, 0, 0, 1, 5}] - 4*uZeta[2]*w[{0, 0, 0, 2, 2}] - 2*w[{0, 0, 0, 2, 4}],
 w[{0, 2, 0, 2, 1, 1}] -> (-17863*uZeta[6])/2880 + (uZeta[2]*uZeta[3]*w[{0, 1}])/2 + (127*uZeta[4]*w[{0, 1}]^2)/24 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - w[{0, 3}]^2/24 - (373*uZeta[4]*w[{0, 0, 2}])/24 + uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + (9*uZeta[2]*w[{0, 0, 2}]^2)/4 + (5*uZeta[2]*w[{0, 0, 4}])/6 + (w[{0, 1}]^2*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - w[{0, 0, 6}]/16 - 25*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 + 71*uZeta[4]*w[{0, 0, 0, 0, 2}] - (33*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (5*w[{0, 0, 0, 0, 6}])/8 + w[{0, 0, 0, 1, 5}] - (21*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - (3*w[{0, 0, 0, 2, 4}])/4 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 2, 0, 2, 2, 0}] -> (185*uZeta[6])/144 + (7*uZeta[4]*w[{0, 0, 2}])/2 - 24*uZeta[4]*w[{0, 0, 0, 0, 2}] + 3*w[{0, 0, 0, 0, 6}] - 2*w[{0, 0, 0, 1, 5}] + w[{0, 0, 0, 2, 4}],
 w[{0, 2, 0, 3, 0, 1}] -> (-7159*uZeta[6])/1440 + (w[{0, 1}]*w[{0, 5}])/6 - (151*uZeta[4]*w[{0, 0, 2}])/12 - (3*uZeta[2]*w[{0, 0, 2}]^2)/2 - (uZeta[2]*w[{0, 0, 4}])/12 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - w[{0, 1}]*w[{0, 0, 0, 5}] + 46*uZeta[4]*w[{0, 0, 0, 0, 2}] + (uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + 3*w[{0, 0, 0, 0, 6}] - 2*w[{0, 0, 0, 1, 5}] - 3*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}],
 w[{0, 2, 1, 0, 0, 3}] -> (-29*uZeta[6])/36 - w[{0, 3}]^2/6 - 2*uZeta[4]*w[{0, 0, 2}] - w[{0, 0, 6}]/24 + w[{0, 3}]*w[{0, 0, 0, 3}] + 12*uZeta[4]*w[{0, 0, 0, 0, 2}] + (3*w[{0, 0, 0, 0, 6}])/2 - w[{0, 0, 0, 1, 5}]/2,
 w[{0, 2, 1, 0, 1, 2}] -> (-5083*uZeta[6])/2880 + (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + w[{0, 3}]^2/6 - (67*uZeta[4]*w[{0, 0, 2}])/12 - (7*uZeta[2]*w[{0, 0, 2}]^2)/2 - (uZeta[2]*w[{0, 0, 4}])/2 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (5*w[{0, 0, 6}])/24 - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (7*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (49*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (11*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (9*w[{0, 0, 0, 0, 6}])/4 + 5*uZeta[2]*w[{0, 0, 0, 2, 2}] - w[{0, 0, 0, 2, 4}]/2 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 2, 1, 0, 2, 1}] -> (649*uZeta[6])/160 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (5*uZeta[4]*w[{0, 1}]^2)/2 + (2*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/8 + (211*uZeta[4]*w[{0, 0, 2}])/24 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (19*uZeta[2]*w[{0, 0, 2}]^2)/4 - (7*uZeta[2]*w[{0, 0, 4}])/6 + (w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (5*w[{0, 0, 6}])/24 + 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (3*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 55*uZeta[4]*w[{0, 0, 0, 0, 2}] + (47*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (15*w[{0, 0, 0, 0, 6}])/4 + w[{0, 0, 0, 1, 5}] + (19*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 2, 1, 0, 3, 0}] -> (337*uZeta[6])/144 + w[{0, 3}]^2/12 + (23*uZeta[4]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + w[{0, 0, 6}]/8 - 36*uZeta[4]*w[{0, 0, 0, 0, 2}] - (13*w[{0, 0, 0, 0, 6}])/4 + w[{0, 0, 0, 1, 5}],
 w[{0, 2, 1, 1, 0, 2}] -> (-9041*uZeta[6])/2880 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 - w[{0, 3}]^2/12 - (53*uZeta[4]*w[{0, 0, 2}])/8 + (7*uZeta[2]*w[{0, 0, 2}]^2)/4 - (uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 0, 2}]*w[{0, 0, 4}])/8 - w[{0, 0, 6}]/16 + 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/4 + 24*uZeta[4]*w[{0, 0, 0, 0, 2}] - (11*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (7*w[{0, 0, 0, 0, 6}])/8 - (11*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - w[{0, 0, 0, 2, 4}]/4 + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 2, 1, 1, 1, 1}] -> (-1993*uZeta[6])/1280 - (uZeta[2]*uZeta[3]*w[{0, 1}])/12 + (31*uZeta[4]*w[{0, 1}]^2)/16 - (uZeta[2]*w[{0, 1}]^4)/24 + (uZeta[3]*w[{0, 3}])/24 + (13*uZeta[2]*w[{0, 1}]*w[{0, 3}])/72 + (w[{0, 1}]^3*w[{0, 3}])/12 - (5*w[{0, 3}]^2)/72 - (w[{0, 1}]*w[{0, 5}])/12 - (119*uZeta[4]*w[{0, 0, 2}])/48 + (3*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/4 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/4 + (3*uZeta[2]*w[{0, 0, 2}]^2)/8 - (11*uZeta[2]*w[{0, 0, 4}])/48 - (w[{0, 1}]^2*w[{0, 0, 4}])/8 - (w[{0, 0, 2}]*w[{0, 0, 4}])/8 + w[{0, 0, 6}]/6 - 10*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (11*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/6 + (11*w[{0, 3}]*w[{0, 0, 0, 3}])/12 + (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2 - w[{0, 1}]*w[{0, 0, 2, 3}] + 10*uZeta[4]*w[{0, 0, 0, 0, 2}] - (3*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - 2*w[{0, 0, 0, 0, 6}] - 3*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2,
 w[{0, 2, 1, 1, 2, 0}] -> (1081*uZeta[6])/288 + w[{0, 3}]^2/8 + (37*uZeta[4]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + w[{0, 0, 6}]/3 - 60*uZeta[4]*w[{0, 0, 0, 0, 2}] - 4*w[{0, 0, 0, 0, 6}] + w[{0, 0, 0, 2, 4}],
 w[{0, 2, 1, 2, 0, 1}] -> (-851*uZeta[6])/144 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 + w[{0, 3}]^2/24 - (111*uZeta[4]*w[{0, 0, 2}])/8 + (3*uZeta[2]*w[{0, 0, 2}]^2)/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/8 + w[{0, 0, 6}]/8 + 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/4 + 57*uZeta[4]*w[{0, 0, 0, 0, 2}] - (15*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (23*w[{0, 0, 0, 0, 6}])/4 - 5*w[{0, 0, 0, 1, 5}] - (15*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 + 3*w[{0, 0, 0, 2, 4}] + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 2, 2, 0, 0, 2}] -> (2731*uZeta[6])/1440 + (9*uZeta[4]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 2}]^2)/2 - (uZeta[2]*w[{0, 0, 4}])/12 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - 12*uZeta[4]*w[{0, 0, 0, 0, 2}] + (uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (3*w[{0, 0, 0, 0, 6}])/2 - w[{0, 0, 0, 1, 5}] + uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2,
 w[{0, 2, 2, 0, 1, 1}] -> (1141*uZeta[6])/288 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (77*uZeta[4]*w[{0, 1}]^2)/24 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 + (29*uZeta[4]*w[{0, 0, 2}])/4 - 5*uZeta[2]*w[{0, 0, 2}]^2 - (25*uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 1}]^2*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/8 + 20*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - 45*uZeta[4]*w[{0, 0, 0, 0, 2}] + 10*uZeta[2]*w[{0, 0, 0, 0, 4}] + 10*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 2, 2, 2}]/4,
 w[{0, 2, 2, 1, 0, 1}] -> (1259*uZeta[6])/2880 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (5*uZeta[4]*w[{0, 1}]^2)/6 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - w[{0, 3}]^2/24 + (35*uZeta[4]*w[{0, 0, 2}])/12 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + 2*uZeta[2]*w[{0, 0, 2}]^2 + (19*uZeta[2]*w[{0, 0, 4}])/24 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - w[{0, 0, 6}]/16 + 5*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (w[{0, 1}]*w[{0, 0, 0, 5}])/2 + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 7*uZeta[4]*w[{0, 0, 0, 0, 2}] - 4*uZeta[2]*w[{0, 0, 0, 0, 4}] - (17*w[{0, 0, 0, 0, 6}])/8 + 2*w[{0, 0, 0, 1, 5}] - uZeta[2]*w[{0, 0, 0, 2, 2}] - (5*w[{0, 0, 0, 2, 4}])/4,
 w[{0, 2, 3, 0, 0, 1}] -> (3083*uZeta[6])/1440 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 + w[{0, 3}]^2/24 - (w[{0, 1}]*w[{0, 5}])/24 + 5*uZeta[4]*w[{0, 0, 2}] + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 2}]^2)/2 + (2*uZeta[2]*w[{0, 0, 4}])/3 - w[{0, 0, 6}]/12 + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 5}]*w[{0, 0, 0, 1}])/2 + (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 22*uZeta[4]*w[{0, 0, 0, 0, 2}] - (7*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (15*w[{0, 0, 0, 0, 6}])/4 + (5*w[{0, 0, 0, 1, 5}])/2 + uZeta[2]*w[{0, 0, 0, 2, 2}] - w[{0, 0, 0, 2, 4}],
 w[{0, 3, 0, 0, 0, 3}] -> (-7*uZeta[6])/18 - w[{0, 3}]^2/6 - uZeta[4]*w[{0, 0, 2}] + w[{0, 0, 6}]/12 + w[{0, 3}]*w[{0, 0, 0, 3}] + 6*uZeta[4]*w[{0, 0, 0, 0, 2}] - w[{0, 0, 0, 0, 6}]/2,
 w[{0, 3, 0, 0, 1, 2}] -> (-5029*uZeta[6])/2880 + (5*w[{0, 3}]^2)/24 - (9*uZeta[4]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 2}]^2)/4 + (uZeta[2]*w[{0, 0, 4}])/3 - w[{0, 0, 6}]/24 - (3*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 27*uZeta[4]*w[{0, 0, 0, 0, 2}] - (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (3*w[{0, 0, 0, 0, 6}])/2 - w[{0, 0, 0, 1, 5}]/2 - (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 3, 0, 0, 2, 1}] -> (2297*uZeta[6])/2880 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 - (5*w[{0, 3}]^2)/24 + (w[{0, 1}]*w[{0, 5}])/12 + (7*uZeta[4]*w[{0, 0, 2}])/3 + (3*uZeta[2]*w[{0, 0, 2}]^2)/4 + (uZeta[2]*w[{0, 0, 4}])/12 + w[{0, 0, 6}]/24 - 3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (3*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - 10*uZeta[4]*w[{0, 0, 0, 0, 2}] - (3*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - 3*w[{0, 0, 0, 0, 6}] + (3*w[{0, 0, 0, 1, 5}])/2 - (uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - w[{0, 0, 0, 2, 4}]/2,
 w[{0, 3, 0, 0, 3, 0}] -> (7*uZeta[6])/6 + 3*uZeta[4]*w[{0, 0, 2}] - w[{0, 0, 6}]/4 - 18*uZeta[4]*w[{0, 0, 0, 0, 2}] + (3*w[{0, 0, 0, 0, 6}])/2,
 w[{0, 3, 0, 1, 0, 2}] -> (-329*uZeta[6])/160 - (17*uZeta[4]*w[{0, 0, 2}])/4 - (uZeta[2]*w[{0, 0, 2}]^2)/2 - (11*uZeta[2]*w[{0, 0, 4}])/12 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/24 + 12*uZeta[4]*w[{0, 0, 0, 0, 2}] + (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + w[{0, 0, 0, 0, 6}]/4 - uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{0, 3, 0, 1, 1, 1}] -> (-133*uZeta[6])/72 + (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (17*uZeta[4]*w[{0, 1}]^2)/6 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/12 - (7*uZeta[4]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 + 2*uZeta[2]*w[{0, 0, 2}]^2 - (5*uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 1}]^2*w[{0, 0, 4}])/4 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (7*w[{0, 0, 6}])/48 - 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + w[{0, 3}]*w[{0, 0, 0, 3}] + w[{0, 1}]*w[{0, 0, 0, 5}] - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 + 22*uZeta[4]*w[{0, 0, 0, 0, 2}] - (5*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (21*w[{0, 0, 0, 0, 6}])/8 + w[{0, 0, 0, 1, 5}]/2 - 5*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/4 - w[{0, 0, 2, 2, 2}]/4,
 w[{0, 3, 0, 2, 0, 1}] -> (-2203*uZeta[6])/720 - (w[{0, 1}]*w[{0, 5}])/6 - (23*uZeta[4]*w[{0, 0, 2}])/3 - uZeta[2]*w[{0, 0, 2}]^2 - (uZeta[2]*w[{0, 0, 4}])/2 + w[{0, 0, 6}]/24 + w[{0, 1}]*w[{0, 0, 0, 5}] + 30*uZeta[4]*w[{0, 0, 0, 0, 2}] + 2*uZeta[2]*w[{0, 0, 0, 0, 4}] + (23*w[{0, 0, 0, 0, 6}])/4 - 4*w[{0, 0, 0, 1, 5}] - 2*uZeta[2]*w[{0, 0, 0, 2, 2}] + 2*w[{0, 0, 0, 2, 4}],
 w[{0, 3, 1, 0, 0, 2}] -> (-4687*uZeta[6])/2880 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/24 - (47*uZeta[4]*w[{0, 0, 2}])/12 - (9*uZeta[2]*w[{0, 0, 2}]^2)/4 - (7*uZeta[2]*w[{0, 0, 4}])/6 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/24 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + 12*uZeta[4]*w[{0, 0, 0, 0, 2}] + (33*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - w[{0, 0, 0, 0, 6}] + w[{0, 0, 0, 1, 5}]/2 + (3*uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 3, 1, 0, 1, 1}] -> (37*uZeta[6])/160 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (17*uZeta[4]*w[{0, 1}]^2)/6 - (uZeta[3]*w[{0, 3}])/8 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - w[{0, 3}]^2/8 - (w[{0, 1}]*w[{0, 5}])/12 - (uZeta[4]*w[{0, 0, 2}])/8 - (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - 4*uZeta[2]*w[{0, 0, 2}]^2 - (29*uZeta[2]*w[{0, 0, 4}])/24 + (w[{0, 1}]^2*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (7*w[{0, 0, 6}])/24 + 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (5*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 16*uZeta[4]*w[{0, 0, 0, 0, 2}] + (23*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (11*w[{0, 0, 0, 0, 6}])/4 + 6*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 3, 1, 1, 0, 1}] -> (-1249*uZeta[6])/1440 + (uZeta[3]*w[{0, 3}])/8 - (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/4 + w[{0, 3}]^2/24 + (w[{0, 1}]*w[{0, 5}])/6 - (15*uZeta[4]*w[{0, 0, 2}])/8 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + (3*uZeta[2]*w[{0, 0, 2}]^2)/2 - (uZeta[2]*w[{0, 0, 4}])/8 + (w[{0, 0, 2}]*w[{0, 0, 4}])/8 + (7*w[{0, 0, 6}])/48 + 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + 4*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - (w[{0, 3}]*w[{0, 0, 0, 3}])/4 - w[{0, 1}]*w[{0, 0, 0, 5}] + 22*uZeta[4]*w[{0, 0, 0, 0, 2}] + (uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - w[{0, 0, 0, 0, 6}]/8 - w[{0, 0, 0, 1, 5}]/2 - 3*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/4 - w[{0, 0, 2, 2, 2}]/4,
 w[{0, 3, 2, 0, 0, 1}] -> (2669*uZeta[6])/2880 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - w[{0, 3}]^2/24 - (w[{0, 1}]*w[{0, 5}])/8 + (7*uZeta[4]*w[{0, 0, 2}])/3 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 0, 2}]^2)/4 - (uZeta[2]*w[{0, 0, 4}])/4 + w[{0, 0, 6}]/24 - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (w[{0, 5}]*w[{0, 0, 0, 1}])/2 + (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2 - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 10*uZeta[4]*w[{0, 0, 0, 0, 2}] + (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - w[{0, 0, 0, 0, 6}]/2 + w[{0, 0, 0, 1, 5}]/2 + (3*uZeta[2]*w[{0, 0, 0, 2, 2}])/2 - w[{0, 0, 0, 2, 4}]/2,
 w[{0, 4, 0, 0, 0, 2}] -> (-7*uZeta[6])/12 - (3*uZeta[4]*w[{0, 0, 2}])/4 - (3*uZeta[2]*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/12 + 3*uZeta[4]*w[{0, 0, 0, 0, 2}] + 4*uZeta[2]*w[{0, 0, 0, 0, 4}] + w[{0, 0, 0, 0, 6}]/2,
 w[{0, 4, 0, 0, 1, 1}] -> (-1999*uZeta[6])/2880 + (uZeta[4]*w[{0, 1}]^2)/24 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - w[{0, 3}]^2/24 - (w[{0, 1}]*w[{0, 5}])/12 - (7*uZeta[4]*w[{0, 0, 2}])/8 + (uZeta[2]*w[{0, 0, 2}]^2)/4 - (13*uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 1}]^2*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + w[{0, 0, 6}]/8 - uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (w[{0, 1}]*w[{0, 0, 0, 5}])/2 + (9*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (7*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - 2*w[{0, 0, 0, 0, 6}] + w[{0, 0, 0, 1, 5}]/2 - (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 4, 0, 1, 0, 1}] -> (7*uZeta[6])/320 - (uZeta[4]*w[{0, 1}]^2)/3 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + (w[{0, 1}]*w[{0, 5}])/6 - uZeta[4]*w[{0, 0, 2}] - (uZeta[2]*w[{0, 0, 2}]^2)/2 + (5*uZeta[2]*w[{0, 0, 4}])/12 + w[{0, 0, 2}]*w[{0, 0, 4}] + w[{0, 0, 6}]/8 + 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - w[{0, 1}]*w[{0, 0, 0, 5}] + (7*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (5*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (3*w[{0, 0, 0, 0, 6}])/4,
 w[{0, 4, 1, 0, 0, 1}] -> (-71*uZeta[6])/288 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - w[{0, 3}]^2/24 - (3*w[{0, 1}]*w[{0, 5}])/8 - (5*uZeta[4]*w[{0, 0, 2}])/12 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 0, 2}]^2)/4 - (uZeta[2]*w[{0, 0, 4}])/2 + w[{0, 0, 6}]/8 - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 5}]*w[{0, 0, 0, 1}])/2 + 2*w[{0, 1}]*w[{0, 0, 0, 5}] + (5*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (13*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + w[{0, 0, 0, 0, 6}]/2 - w[{0, 0, 0, 1, 5}]/2 + (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 5, 0, 0, 0, 1}] -> (-7*uZeta[6])/60 - (w[{0, 1}]*w[{0, 5}])/6 - (uZeta[4]*w[{0, 0, 2}])/6 - (uZeta[2]*w[{0, 0, 4}])/6 + w[{0, 0, 6}]/12 + w[{0, 1}]*w[{0, 0, 0, 5}] + uZeta[4]*w[{0, 0, 0, 0, 2}] + uZeta[2]*w[{0, 0, 0, 0, 4}] - w[{0, 0, 0, 0, 6}]/2,
 w[{1, 0, 0, 0, 0, 5}] -> (w[{0, 1}]*w[{0, 5}])/8 - (w[{0, 5}]*w[{0, 0, 0, 1}])/2 - (w[{0, 1}]*w[{0, 0, 0, 5}])/2,
 w[{1, 0, 0, 0, 1, 4}] -> (-119*uZeta[6])/1440 + (uZeta[4]*w[{0, 1}]^2)/3 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/4 + (w[{0, 1}]*w[{0, 5}])/8 - (uZeta[4]*w[{0, 0, 2}])/6 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 5}]*w[{0, 0, 0, 1}])/2 - (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 + uZeta[4]*w[{0, 0, 0, 0, 2}],
 w[{1, 0, 0, 0, 2, 3}] -> (w[{0, 1}]*w[{0, 5}])/8 - (w[{0, 5}]*w[{0, 0, 0, 1}])/2 - (w[{0, 1}]*w[{0, 0, 2, 3}])/2,
 w[{1, 0, 0, 0, 3, 2}] -> (49*uZeta[6])/180 - (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - (7*w[{0, 1}]*w[{0, 5}])/24 + (5*uZeta[4]*w[{0, 0, 2}])/6 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 0, 4}])/6 + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 5}]*w[{0, 0, 0, 1}])/2 + uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + 2*w[{0, 1}]*w[{0, 0, 0, 5}] - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 5*uZeta[4]*w[{0, 0, 0, 0, 2}] + uZeta[2]*w[{0, 0, 0, 0, 4}],
 w[{1, 0, 0, 0, 4, 1}] -> (-5*uZeta[4]*w[{0, 1}]^2)/12 - (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - (5*w[{0, 1}]*w[{0, 5}])/24 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (w[{0, 1}]^2*w[{0, 0, 4}])/2 + 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (w[{0, 5}]*w[{0, 0, 0, 1}])/2 + uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2,
 w[{1, 0, 0, 1, 0, 4}] -> (119*uZeta[6])/960 + (w[{0, 1}]*w[{0, 5}])/6 + (uZeta[4]*w[{0, 0, 2}])/4 - (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2 + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - (3*uZeta[4]*w[{0, 0, 0, 0, 2}])/2,
 w[{1, 0, 0, 1, 1, 3}] -> (w[{0, 1}]*w[{0, 5}])/4 - (5*w[{0, 1}]*w[{0, 0, 0, 5}])/2 + w[{0, 1}]*w[{0, 0, 2, 3}],
 w[{1, 0, 0, 1, 2, 2}] -> (7*uZeta[6])/144 + (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (5*uZeta[4]*w[{0, 1}]^2)/2 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - (w[{0, 1}]*w[{0, 5}])/6 + (5*uZeta[4]*w[{0, 0, 2}])/12 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 0, 2}]^2)/4 - (uZeta[2]*w[{0, 0, 4}])/6 - 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + 3*w[{0, 1}]*w[{0, 0, 0, 5}] - 2*w[{0, 1}]*w[{0, 0, 2, 3}] - (5*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (5*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{1, 0, 0, 1, 3, 1}] -> (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (9*uZeta[4]*w[{0, 1}]^2)/4 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/4 - (5*w[{0, 1}]*w[{0, 5}])/12 - (3*w[{0, 1}]^2*w[{0, 0, 4}])/4 - 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + (3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + 5*w[{0, 1}]*w[{0, 0, 0, 5}] - (5*w[{0, 1}]*w[{0, 0, 2, 3}])/2,
 w[{1, 0, 0, 2, 0, 3}] -> (uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 + w[{0, 3}]^2/12 + (w[{0, 1}]*w[{0, 5}])/12 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2 + w[{0, 1}]*w[{0, 0, 2, 3}],
 w[{1, 0, 0, 2, 1, 2}] -> (-679*uZeta[6])/576 - (5*uZeta[4]*w[{0, 1}]^2)/3 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - w[{0, 3}]^2/12 + (w[{0, 1}]*w[{0, 5}])/3 - (15*uZeta[4]*w[{0, 0, 2}])/4 - w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 0, 2}]^2)/4 + (uZeta[2]*w[{0, 0, 4}])/4 + 10*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - (13*w[{0, 1}]*w[{0, 0, 0, 5}])/2 + (9*w[{0, 1}]*w[{0, 0, 2, 3}])/2 + 35*uZeta[4]*w[{0, 0, 0, 0, 2}] - (5*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{1, 0, 0, 2, 2, 1}] -> (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (14*uZeta[4]*w[{0, 1}]^2)/3 + w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/6 + uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + (w[{0, 1}]^2*w[{0, 0, 4}])/4 - 25*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (7*w[{0, 1}]*w[{0, 0, 0, 5}])/2 - (5*w[{0, 1}]*w[{0, 0, 2, 3}])/2,
 w[{1, 0, 0, 3, 0, 2}] -> (-301*uZeta[6])/320 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 + (w[{0, 1}]*w[{0, 5}])/4 - (5*uZeta[4]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 2}]^2)/4 + (uZeta[2]*w[{0, 0, 4}])/3 - 3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - (5*w[{0, 1}]*w[{0, 0, 0, 5}])/2 + w[{0, 1}]*w[{0, 0, 2, 3}] + 15*uZeta[4]*w[{0, 0, 0, 0, 2}] - (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{1, 0, 0, 3, 1, 1}] -> (11*uZeta[4]*w[{0, 1}]^2)/12 + (11*uZeta[2]*w[{0, 1}]*w[{0, 3}])/24 - (w[{0, 1}]^3*w[{0, 3}])/4 + (w[{0, 1}]*w[{0, 5}])/12 + uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/4 + (w[{0, 1}]^2*w[{0, 0, 4}])/4 - 4*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2 + w[{0, 1}]*w[{0, 0, 2, 3}],
 w[{1, 0, 0, 4, 0, 1}] -> -(uZeta[4]*w[{0, 1}]^2)/12 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + (w[{0, 1}]*w[{0, 5}])/12 + (w[{0, 1}]^2*w[{0, 0, 4}])/2 + 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - w[{0, 1}]*w[{0, 0, 0, 5}] + (w[{0, 1}]*w[{0, 0, 2, 3}])/2,
 w[{1, 0, 1, 0, 0, 4}] -> (-49*uZeta[6])/960 - (uZeta[4]*w[{0, 1}]^2)/3 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - (w[{0, 1}]*w[{0, 5}])/12 - (5*uZeta[2]*w[{0, 0, 4}])/12 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - (uZeta[4]*w[{0, 0, 0, 0, 2}])/2,
 w[{1, 0, 1, 0, 1, 3}] -> (-35*uZeta[6])/96 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (5*uZeta[4]*w[{0, 1}]^2)/2 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/4 - (w[{0, 1}]*w[{0, 5}])/12 - (uZeta[4]*w[{0, 0, 2}])/4 - (5*uZeta[2]*w[{0, 0, 4}])/8 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - (3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (w[{0, 1}]*w[{0, 0, 2, 3}])/2,
 w[{1, 0, 1, 0, 2, 2}] -> (49*uZeta[6])/960 - (uZeta[2]*uZeta[3]*w[{0, 1}])/2 - (10*uZeta[4]*w[{0, 1}]^2)/3 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + (7*uZeta[4]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 0, 2}]^2)/2 + (uZeta[2]*w[{0, 0, 4}])/8 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + 20*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - (15*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 0, 0, 4}])/2,
 w[{1, 0, 1, 0, 3, 1}] -> (385*uZeta[6])/288 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (19*uZeta[4]*w[{0, 1}]^2)/6 - (13*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 + (w[{0, 1}]*w[{0, 5}])/4 + 3*uZeta[4]*w[{0, 0, 2}] - uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] + uZeta[2]*w[{0, 0, 2}]^2 + (5*uZeta[2]*w[{0, 0, 4}])/24 + (w[{0, 1}]^2*w[{0, 0, 4}])/2 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + (13*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - 2*w[{0, 1}]*w[{0, 0, 0, 5}] + (w[{0, 1}]*w[{0, 0, 2, 3}])/2,
 w[{1, 0, 1, 1, 0, 3}] -> (-35*uZeta[6])/36 + (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (5*uZeta[4]*w[{0, 1}]^2)/2 - (uZeta[3]*w[{0, 3}])/8 + uZeta[2]*w[{0, 1}]*w[{0, 3}] - w[{0, 3}]^2/24 - (w[{0, 1}]*w[{0, 5}])/12 - (11*uZeta[4]*w[{0, 0, 2}])/4 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 0, 2}]^2 + (5*uZeta[2]*w[{0, 0, 4}])/12 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (w[{0, 3}]*w[{0, 0, 0, 3}])/4 + w[{0, 1}]*w[{0, 0, 0, 5}] - (w[{0, 1}]*w[{0, 0, 2, 3}])/2,
 w[{1, 0, 1, 1, 1, 2}] -> (973*uZeta[6])/288 + (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/4 + w[{0, 3}]^2/24 - (w[{0, 1}]*w[{0, 5}])/12 + (7*uZeta[4]*w[{0, 0, 2}])/4 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + uZeta[2]*w[{0, 0, 2}]^2 + (17*uZeta[2]*w[{0, 0, 4}])/24 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - (w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2 - w[{0, 1}]*w[{0, 0, 2, 3}] - 20*uZeta[4]*w[{0, 0, 0, 0, 2}] - 5*uZeta[2]*w[{0, 0, 0, 0, 4}] - 4*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{1, 0, 1, 1, 2, 1}] -> (455*uZeta[6])/288 + (uZeta[2]*uZeta[3]*w[{0, 1}])/2 - (19*uZeta[4]*w[{0, 1}]^2)/2 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/4 - w[{0, 3}]^2/24 + (w[{0, 1}]*w[{0, 5}])/4 + (22*uZeta[4]*w[{0, 0, 2}])/3 - uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + 3*uZeta[2]*w[{0, 0, 2}]^2 - (5*uZeta[2]*w[{0, 0, 4}])/12 + (w[{0, 1}]^2*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + 60*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + 5*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (9*w[{0, 1}]*w[{0, 0, 0, 5}])/2 + 3*w[{0, 1}]*w[{0, 0, 2, 3}],
 w[{1, 0, 1, 2, 0, 2}] -> (-5803*uZeta[6])/2880 + (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (25*uZeta[4]*w[{0, 1}]^2)/6 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - (13*uZeta[4]*w[{0, 0, 2}])/3 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (7*uZeta[2]*w[{0, 0, 2}]^2)/2 - (11*uZeta[2]*w[{0, 0, 4}])/12 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - 25*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (7*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 + (25*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (11*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + 5*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{1, 0, 1, 2, 1, 1}] -> (-455*uZeta[6])/576 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (57*uZeta[4]*w[{0, 1}]^2)/8 + (9*uZeta[2]*w[{0, 1}]*w[{0, 3}])/8 + (w[{0, 1}]^3*w[{0, 3}])/4 - (w[{0, 1}]*w[{0, 5}])/4 - (11*uZeta[4]*w[{0, 0, 2}])/3 + (7*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/4 - (3*uZeta[2]*w[{0, 0, 2}]^2)/2 + (5*uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 1}]^2*w[{0, 0, 4}])/2 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - (11*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (9*w[{0, 1}]*w[{0, 0, 0, 5}])/2 - 3*w[{0, 1}]*w[{0, 0, 2, 3}],
 w[{1, 0, 1, 3, 0, 1}] -> (-35*uZeta[6])/36 + (uZeta[2]*uZeta[3]*w[{0, 1}])/2 + (17*uZeta[4]*w[{0, 1}]^2)/3 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - (w[{0, 1}]*w[{0, 5}])/6 - (11*uZeta[4]*w[{0, 0, 2}])/4 + uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] - uZeta[2]*w[{0, 0, 2}]^2 + (5*uZeta[2]*w[{0, 0, 4}])/12 - (w[{0, 1}]^2*w[{0, 0, 4}])/2 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 5*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + 2*w[{0, 1}]*w[{0, 0, 0, 5}] - w[{0, 1}]*w[{0, 0, 2, 3}],
 w[{1, 0, 2, 0, 0, 3}] -> (uZeta[3]*w[{0, 3}])/8 + (7*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - w[{0, 3}]^2/24 + (w[{0, 1}]*w[{0, 5}])/12 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (w[{0, 1}]*w[{0, 0, 0, 5}])/2,
 w[{1, 0, 2, 0, 1, 2}] -> (217*uZeta[6])/96 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (25*uZeta[4]*w[{0, 1}]^2)/6 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 + w[{0, 3}]^2/24 + (20*uZeta[4]*w[{0, 0, 2}])/3 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 0, 4}])/6 + 25*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - 65*uZeta[4]*w[{0, 0, 0, 0, 2}] - 2*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{1, 0, 2, 0, 2, 1}] -> (-3*uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (97*uZeta[4]*w[{0, 1}]^2)/12 + (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 - w[{0, 3}]^2/24 - 2*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (w[{0, 1}]^2*w[{0, 0, 4}])/2 + 35*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (w[{0, 1}]*w[{0, 0, 0, 5}])/2 + (w[{0, 1}]*w[{0, 0, 2, 3}])/2,
 w[{1, 0, 2, 1, 0, 2}] -> (3031*uZeta[6])/2880 + (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (5*uZeta[4]*w[{0, 1}]^2)/2 - (2*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + (25*uZeta[4]*w[{0, 0, 2}])/12 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - 2*uZeta[2]*w[{0, 0, 2}]^2 - (uZeta[2]*w[{0, 0, 4}])/3 - 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (w[{0, 1}]*w[{0, 0, 0, 5}])/2 + (w[{0, 1}]*w[{0, 0, 2, 3}])/2 - (25*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + 4*uZeta[2]*w[{0, 0, 0, 0, 4}] + 4*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{1, 0, 2, 1, 1, 1}] -> (uZeta[2]*uZeta[3]*w[{0, 1}])/12 - (53*uZeta[4]*w[{0, 1}]^2)/24 + (uZeta[2]*w[{0, 1}]^4)/6 - (37*uZeta[2]*w[{0, 1}]*w[{0, 3}])/72 - (w[{0, 1}]^3*w[{0, 3}])/4 + (w[{0, 1}]*w[{0, 5}])/12 - (3*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/4 + (w[{0, 1}]^2*w[{0, 0, 4}])/4 + 10*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + (11*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/6 - (3*w[{0, 1}]*w[{0, 0, 0, 5}])/2 + w[{0, 1}]*w[{0, 0, 2, 3}],
 w[{1, 0, 2, 2, 0, 1}] -> (uZeta[2]*uZeta[3]*w[{0, 1}])/2 + (77*uZeta[4]*w[{0, 1}]^2)/12 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + (w[{0, 1}]^2*w[{0, 0, 4}])/2 - 40*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}],
 w[{1, 0, 3, 0, 0, 2}] -> (77*uZeta[6])/48 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 - (w[{0, 1}]*w[{0, 5}])/12 + (53*uZeta[4]*w[{0, 0, 2}])/12 + uZeta[2]*w[{0, 0, 2}]^2 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + 3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (w[{0, 1}]*w[{0, 0, 0, 5}])/2 - 15*uZeta[4]*w[{0, 0, 0, 0, 2}] + uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{1, 0, 3, 0, 1, 1}] -> (35*uZeta[6])/72 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (17*uZeta[4]*w[{0, 1}]^2)/6 - (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 + (w[{0, 1}]*w[{0, 5}])/12 + (11*uZeta[4]*w[{0, 0, 2}])/8 - (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 2}]^2)/2 - (5*uZeta[2]*w[{0, 0, 4}])/24 + (w[{0, 1}]^2*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - w[{0, 1}]*w[{0, 0, 0, 5}] + (w[{0, 1}]*w[{0, 0, 2, 3}])/2,
 w[{1, 1, 0, 0, 0, 4}] -> (7*uZeta[6])/1440 + (5*uZeta[4]*w[{0, 1}]^2)/24 - (uZeta[4]*w[{0, 0, 2}])/24 + (5*uZeta[2]*w[{0, 0, 4}])/24 + (w[{0, 1}]^2*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + (uZeta[4]*w[{0, 0, 0, 0, 2}])/2,
 w[{1, 1, 0, 0, 1, 3}] -> (35*uZeta[6])/192 + (uZeta[4]*w[{0, 1}]^2)/8 + (uZeta[4]*w[{0, 0, 2}])/8 + (5*uZeta[2]*w[{0, 0, 4}])/16 + (3*w[{0, 1}]^2*w[{0, 0, 4}])/8 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/8,
 w[{1, 1, 0, 0, 2, 2}] -> (259*uZeta[6])/480 - (13*uZeta[4]*w[{0, 1}]^2)/12 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + (19*uZeta[4]*w[{0, 0, 2}])/24 - (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 0, 2}]^2)/4 - (5*uZeta[2]*w[{0, 0, 4}])/48 - (w[{0, 1}]^2*w[{0, 0, 4}])/8 - (w[{0, 0, 2}]*w[{0, 0, 4}])/8 + 5*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - (25*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{1, 1, 0, 0, 3, 1}] -> (-385*uZeta[6])/576 - (11*uZeta[4]*w[{0, 1}]^2)/24 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/24 + (w[{0, 1}]^3*w[{0, 3}])/4 - (3*uZeta[4]*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/4 - (uZeta[2]*w[{0, 0, 2}]^2)/2 - (5*uZeta[2]*w[{0, 0, 4}])/48 - (w[{0, 1}]^2*w[{0, 0, 4}])/8 - (w[{0, 0, 2}]*w[{0, 0, 4}])/8,
 w[{1, 1, 0, 1, 0, 3}] -> (35*uZeta[6])/72 + (uZeta[4]*w[{0, 1}]^2)/3 + (uZeta[3]*w[{0, 3}])/8 - (7*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 + w[{0, 3}]^2/24 + (11*uZeta[4]*w[{0, 0, 2}])/8 + (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 2}]^2)/2 - (5*uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 1}]^2*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (w[{0, 3}]*w[{0, 0, 0, 3}])/4,
 w[{1, 1, 0, 1, 1, 2}] -> (-1687*uZeta[6])/288 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (19*uZeta[4]*w[{0, 1}]^2)/4 - (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 - w[{0, 3}]^2/24 - (151*uZeta[4]*w[{0, 0, 2}])/24 + (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - 3*uZeta[2]*w[{0, 0, 2}]^2 - (41*uZeta[2]*w[{0, 0, 4}])/48 - (w[{0, 1}]^2*w[{0, 0, 4}])/8 - (w[{0, 0, 2}]*w[{0, 0, 4}])/8 - 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (w[{0, 3}]*w[{0, 0, 0, 3}])/4 + 30*uZeta[4]*w[{0, 0, 0, 0, 2}] + (15*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + 6*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{1, 1, 0, 1, 2, 1}] -> (-455*uZeta[6])/576 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (19*uZeta[4]*w[{0, 1}]^2)/8 + (uZeta[3]*w[{0, 3}])/8 - (7*uZeta[2]*w[{0, 1}]*w[{0, 3}])/8 - (w[{0, 1}]^3*w[{0, 3}])/4 + w[{0, 3}]^2/24 - (11*uZeta[4]*w[{0, 0, 2}])/3 - (5*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/4 - (3*uZeta[2]*w[{0, 0, 2}]^2)/2 + (5*uZeta[2]*w[{0, 0, 4}])/24 + (w[{0, 1}]^2*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (w[{0, 3}]*w[{0, 0, 0, 3}])/4,
 w[{1, 1, 0, 2, 0, 2}] -> (-623*uZeta[6])/960 + (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (67*uZeta[4]*w[{0, 1}]^2)/24 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - (53*uZeta[4]*w[{0, 0, 2}])/24 + uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] + (11*uZeta[2]*w[{0, 0, 2}]^2)/4 + (17*uZeta[2]*w[{0, 0, 4}])/24 + (w[{0, 1}]^2*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - 10*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (65*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (19*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (7*uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{1, 1, 0, 2, 1, 1}] -> (455*uZeta[6])/1152 - (uZeta[4]*w[{0, 1}]^2)/4 - (uZeta[2]*w[{0, 1}]^4)/4 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/24 + (w[{0, 1}]^3*w[{0, 3}])/4 + (11*uZeta[4]*w[{0, 0, 2}])/6 + (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/4 + (3*uZeta[2]*w[{0, 0, 2}]^2)/4 - (5*uZeta[2]*w[{0, 0, 4}])/48 - (w[{0, 1}]^2*w[{0, 0, 4}])/8 - (w[{0, 0, 2}]*w[{0, 0, 4}])/8,
 w[{1, 1, 1, 0, 0, 3}] -> -(uZeta[3]*w[{0, 3}])/24 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/8 - (w[{0, 1}]^3*w[{0, 3}])/12 - w[{0, 3}]^2/72 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/4 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/12,
 w[{1, 1, 1, 0, 1, 2}] -> (2401*uZeta[6])/576 + (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (95*uZeta[4]*w[{0, 1}]^2)/24 + (uZeta[3]*w[{0, 3}])/24 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/24 + (w[{0, 1}]^3*w[{0, 3}])/12 + w[{0, 3}]^2/72 + (65*uZeta[4]*w[{0, 0, 2}])/12 + (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/4 + (5*uZeta[2]*w[{0, 0, 2}]^2)/2 + (uZeta[2]*w[{0, 0, 4}])/2 + 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (w[{0, 3}]*w[{0, 0, 0, 3}])/12 - 20*uZeta[4]*w[{0, 0, 0, 0, 2}] - 5*uZeta[2]*w[{0, 0, 0, 0, 4}] - 4*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{1, 1, 1, 0, 2, 1}] -> (uZeta[2]*uZeta[3]*w[{0, 1}])/12 - (5*uZeta[4]*w[{0, 1}]^2)/8 + (uZeta[2]*w[{0, 1}]^4)/6 - (uZeta[3]*w[{0, 3}])/24 + (11*uZeta[2]*w[{0, 1}]*w[{0, 3}])/72 - (w[{0, 1}]^3*w[{0, 3}])/12 - w[{0, 3}]^2/72 + (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/4 + 10*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/6 + (w[{0, 3}]*w[{0, 0, 0, 3}])/12,
 w[{1, 1, 1, 1, 0, 2}] -> (-2401*uZeta[6])/2304 - (uZeta[2]*uZeta[3]*w[{0, 1}])/12 + (55*uZeta[4]*w[{0, 1}]^2)/48 - (uZeta[2]*w[{0, 1}]^4)/24 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/36 - (65*uZeta[4]*w[{0, 0, 2}])/48 - (uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}])/4 - (5*uZeta[2]*w[{0, 0, 2}]^2)/8 - (uZeta[2]*w[{0, 0, 4}])/8 - 10*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/6 + 5*uZeta[4]*w[{0, 0, 0, 0, 2}] + (5*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{1, 1, 1, 1, 1, 1}] -> 0,
 w[{1, 1, 2, 0, 0, 2}] -> (2737*uZeta[6])/1440 - (35*uZeta[4]*w[{0, 1}]^2)/24 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 + (41*uZeta[4]*w[{0, 0, 2}])/8 - uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + uZeta[2]*w[{0, 0, 2}]^2 - (uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + 5*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - (45*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + uZeta[2]*w[{0, 0, 0, 0, 4}] + 2*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{1, 2, 0, 0, 0, 3}] -> (-5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - w[{0, 3}]^2/24 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}],
 w[{1, 2, 0, 0, 1, 2}] -> (-679*uZeta[6])/576 + (uZeta[2]*uZeta[3]*w[{0, 1}])/4 + (5*uZeta[4]*w[{0, 1}]^2)/6 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + w[{0, 3}]^2/6 - (15*uZeta[4]*w[{0, 0, 2}])/4 + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 2}]^2)/4 + (uZeta[2]*w[{0, 0, 4}])/4 - 5*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + (3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - (3*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + 35*uZeta[4]*w[{0, 0, 0, 0, 2}] - (5*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{1, 2, 0, 0, 2, 1}] -> (35*uZeta[4]*w[{0, 1}]^2)/12 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 - (5*w[{0, 3}]^2)/24 + 2*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] - w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] - 10*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + w[{0, 3}]*w[{0, 0, 0, 3}],
 w[{1, 2, 0, 1, 0, 2}] -> (-917*uZeta[6])/960 + (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 + w[{0, 3}]^2/8 - (5*uZeta[4]*w[{0, 0, 2}])/4 + (3*uZeta[2]*w[{0, 0, 2}]^2)/2 - 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (3*w[{0, 3}]*w[{0, 0, 0, 3}])/4 + (15*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - (3*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - 3*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{1, 2, 1, 0, 0, 2}] -> (-2401*uZeta[6])/1440 - (uZeta[2]*uZeta[3]*w[{0, 1}])/4 - (5*uZeta[4]*w[{0, 1}]^2)/6 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/12 - (21*uZeta[4]*w[{0, 0, 2}])/4 - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (15*uZeta[2]*w[{0, 0, 2}]^2)/4 - (uZeta[2]*w[{0, 0, 4}])/6 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + 5*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + (5*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + (3*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (3*uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{1, 3, 0, 0, 0, 2}] -> (-49*uZeta[6])/45 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - 3*uZeta[4]*w[{0, 0, 2}] + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - (3*uZeta[2]*w[{0, 0, 2}]^2)/2 - (5*uZeta[2]*w[{0, 0, 4}])/8 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + 5*uZeta[4]*w[{0, 0, 0, 0, 2}] + (7*uZeta[2]*w[{0, 0, 0, 0, 4}])/2,
 w[{2, 0, 0, 0, 0, 4}] -> (7*uZeta[6])/48 + (uZeta[4]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - uZeta[4]*w[{0, 0, 0, 0, 2}] - uZeta[2]*w[{0, 0, 0, 0, 4}],
 w[{2, 0, 0, 0, 1, 3}] -> (49*uZeta[6])/320 + (uZeta[4]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 0, 2}]^2)/4 + (11*uZeta[2]*w[{0, 0, 4}])/24 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 - (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{2, 0, 0, 0, 2, 2}] -> (-63*uZeta[6])/160 - (7*uZeta[4]*w[{0, 0, 2}])/4 - uZeta[2]*w[{0, 0, 2}]^2 + (uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - uZeta[2]*w[{0, 0, 0, 0, 4}] - uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{2, 0, 0, 1, 0, 3}] -> (259*uZeta[6])/480 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/12 + (23*uZeta[4]*w[{0, 0, 2}])/12 + (3*uZeta[2]*w[{0, 0, 2}]^2)/2 + (uZeta[2]*w[{0, 0, 4}])/6 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - (3*uZeta[2]*w[{0, 0, 0, 0, 4}])/2,
 w[{2, 0, 0, 1, 1, 2}] -> (1099*uZeta[6])/960 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/12 + (17*uZeta[4]*w[{0, 0, 2}])/6 - (7*uZeta[2]*w[{0, 0, 4}])/24 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - (25*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 + 3*uZeta[2]*w[{0, 0, 0, 0, 4}] + 3*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{2, 0, 0, 2, 0, 2}] -> (287*uZeta[6])/240 + (7*uZeta[4]*w[{0, 0, 2}])/2 + uZeta[2]*w[{0, 0, 2}]^2 + (uZeta[2]*w[{0, 0, 4}])/12 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + uZeta[2]*w[{0, 0, 0, 0, 4}] + 2*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{2, 0, 1, 0, 0, 3}] -> (119*uZeta[6])/960 + (uZeta[3]*w[{0, 3}])/8 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 + w[{0, 3}]^2/8 - (uZeta[2]*w[{0, 0, 2}]^2)/4 + (uZeta[2]*w[{0, 0, 4}])/6 - 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (3*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (3*uZeta[2]*w[{0, 0, 0, 0, 4}])/4 + (uZeta[2]*w[{0, 0, 0, 2, 2}])/2,
 w[{2, 0, 1, 0, 1, 2}] -> (147*uZeta[6])/320 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 - w[{0, 3}]^2/8 + (5*uZeta[4]*w[{0, 0, 2}])/2 + 4*uZeta[2]*w[{0, 0, 2}]^2 + (5*uZeta[2]*w[{0, 0, 4}])/6 + 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (3*w[{0, 3}]*w[{0, 0, 0, 3}])/4 - (15*uZeta[4]*w[{0, 0, 0, 0, 2}])/2 - 8*uZeta[2]*w[{0, 0, 0, 0, 4}] - 6*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{2, 0, 1, 1, 0, 2}] -> (119*uZeta[6])/240 - (5*uZeta[4]*w[{0, 0, 2}])/4 - (11*uZeta[2]*w[{0, 0, 2}]^2)/2 - (5*uZeta[2]*w[{0, 0, 4}])/6 + (19*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + 9*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{2, 1, 0, 0, 0, 3}] -> (49*uZeta[6])/180 - (uZeta[3]*w[{0, 3}])/8 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + (5*uZeta[4]*w[{0, 0, 2}])/6 - (uZeta[2]*w[{0, 0, 4}])/6 + uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/4 - 5*uZeta[4]*w[{0, 0, 0, 0, 2}] + uZeta[2]*w[{0, 0, 0, 0, 4}],
 w[{2, 1, 0, 0, 1, 2}] -> (7*uZeta[6])/72 + (uZeta[3]*w[{0, 3}])/4 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/8 + (5*uZeta[4]*w[{0, 0, 2}])/6 - (uZeta[2]*w[{0, 0, 2}]^2)/2 - (uZeta[2]*w[{0, 0, 4}])/3 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 5*uZeta[4]*w[{0, 0, 0, 0, 2}] + (5*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{3, 0, 0, 0, 0, 3}] -> w[{0, 3}]^2/8 - w[{0, 3}]*w[{0, 0, 0, 3}]
}
