(* 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.                                                                           *)

(* weight 1 length 5 *)

{
w[{0, 0, 0, 0, 1}] -> -w[{0, 1}]/24 + w[{0, 0, 0, 1}]/2,
 w[{0, 0, 0, 1, 0}] -> w[{0, 1}]/6 - w[{0, 0, 0, 1}]
}

(* weight 2 length 5 *)

{
w[{0, 0, 0, 1, 1}] -> (73*uZeta[2])/720 - w[{0, 1}]^2/12 + w[{0, 0, 2}]/6 + w[{0, 1}]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 0, 2}]/2,
 w[{0, 0, 0, 2, 0}] -> uZeta[2]/12 + w[{0, 0, 2}]/2 - 4*w[{0, 0, 0, 0, 2}],
 w[{0, 0, 1, 0, 1}] -> (-43*uZeta[2])/240 + w[{0, 1}]^2/2 - w[{0, 0, 2}]/4 - 3*w[{0, 1}]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 0, 2}]/2,
 w[{0, 0, 1, 1, 0}] -> uZeta[2]/12 + w[{0, 0, 0, 0, 2}],
 w[{0, 0, 2, 0, 0}] -> -uZeta[2]/4 - w[{0, 0, 2}] + 6*w[{0, 0, 0, 0, 2}],
 w[{0, 1, 0, 0, 1}] -> (-17*uZeta[2])/240 - w[{0, 1}]^2/2 - w[{0, 0, 2}]/4 + 3*w[{0, 1}]*w[{0, 0, 0, 1}] + (3*w[{0, 0, 0, 0, 2}])/2,
 w[{0, 1, 0, 1, 0}] -> uZeta[2]/12 + w[{0, 0, 2}]/2 - 4*w[{0, 0, 0, 0, 2}],
 w[{1, 0, 0, 0, 1}] -> (17*uZeta[2])/360 + w[{0, 1}]^2/6 + w[{0, 0, 2}]/6 - 2*w[{0, 1}]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 0, 2}]
}

(* weight 3 length 5 *)

{
w[{0, 0, 0, 0, 3}] -> -w[{0, 3}]/24 + w[{0, 0, 0, 3}]/2,
 w[{0, 0, 0, 1, 2}] -> uZeta[3]/8 + (uZeta[2]*w[{0, 1}])/6 - w[{0, 3}]/12 - uZeta[2]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 3}]/4,
 w[{0, 0, 0, 2, 1}] -> (uZeta[2]*w[{0, 1}])/4 + w[{0, 3}]/8 + (w[{0, 1}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 3}]/2,
 w[{0, 0, 0, 3, 0}] -> w[{0, 3}]/6 - w[{0, 0, 0, 3}],
 w[{0, 0, 1, 0, 2}] -> -uZeta[3]/8 - (uZeta[2]*w[{0, 1}])/2 - w[{0, 3}]/8 + 3*uZeta[2]*w[{0, 0, 0, 1}] + (3*w[{0, 0, 0, 3}])/4,
 w[{0, 0, 1, 1, 1}] -> uZeta[3]/24 - (uZeta[2]*w[{0, 1}])/8 + w[{0, 1}]^3/12 + w[{0, 3}]/72 + (w[{0, 1}]*w[{0, 0, 2}])/4 + 2*uZeta[2]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 3}]/12,
 w[{0, 0, 1, 2, 0}] -> w[{0, 3}]/8 - w[{0, 0, 0, 3}],
 w[{0, 0, 2, 0, 1}] -> -uZeta[3]/8 - (7*uZeta[2]*w[{0, 1}])/12 + w[{0, 3}]/24 - (w[{0, 1}]*w[{0, 0, 2}])/2 + 2*uZeta[2]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 3}]/4,
 w[{0, 0, 2, 1, 0}] -> uZeta[3]/8 + (uZeta[2]*w[{0, 1}])/6 - w[{0, 3}]/12 - uZeta[2]*w[{0, 0, 0, 1}] + (3*w[{0, 0, 0, 3}])/4,
 w[{0, 1, 0, 0, 2}] -> (uZeta[2]*w[{0, 1}])/3 + w[{0, 3}]/12 - 2*uZeta[2]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 3}]/2,
 w[{0, 1, 0, 1, 1}] -> -uZeta[3]/8 + (7*uZeta[2]*w[{0, 1}])/12 - w[{0, 3}]/24 - (w[{0, 1}]*w[{0, 0, 2}])/2 - 6*uZeta[2]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 3}]/4,
 w[{0, 1, 0, 2, 0}] -> (uZeta[2]*w[{0, 1}])/3 - w[{0, 3}]/6 - 2*uZeta[2]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 3}],
 w[{0, 1, 1, 0, 1}] -> uZeta[3]/8 - (7*uZeta[2]*w[{0, 1}])/12 + w[{0, 3}]/24 + (w[{0, 1}]*w[{0, 0, 2}])/2 + 6*uZeta[2]*w[{0, 0, 0, 1}] - w[{0, 0, 0, 3}]/4,
 w[{0, 2, 0, 0, 1}] -> -(uZeta[2]*w[{0, 1}])/12 - w[{0, 3}]/12 - (w[{0, 1}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 3}]/2,
 w[{1, 0, 0, 0, 2}] -> -(uZeta[2]*w[{0, 1}])/4 - (w[{0, 1}]*w[{0, 0, 2}])/2 + uZeta[2]*w[{0, 0, 0, 1}],
 w[{1, 0, 0, 1, 1}] -> (-5*uZeta[2]*w[{0, 1}])/24 - w[{0, 1}]^3/4 - (w[{0, 1}]*w[{0, 0, 2}])/4
}

(* weight 4 length 5 *)

{
w[{0, 0, 0, 1, 3}] -> (3*uZeta[4])/80 - w[{0, 0, 2}]^2/4 - w[{0, 0, 4}]/12 + (9*w[{0, 0, 0, 0, 4}])/4 + w[{0, 0, 0, 2, 2}]/2,
 w[{0, 0, 0, 3, 1}] -> (59*uZeta[4])/360 - (w[{0, 1}]*w[{0, 3}])/6 + (uZeta[2]*w[{0, 0, 2}])/3 + w[{0, 0, 2}]^2/2 + w[{0, 0, 4}]/2 + w[{0, 3}]*w[{0, 0, 0, 1}] + w[{0, 1}]*w[{0, 0, 0, 3}] - 2*uZeta[2]*w[{0, 0, 0, 0, 2}] - (7*w[{0, 0, 0, 0, 4}])/2,
 w[{0, 0, 0, 4, 0}] -> uZeta[4]/12 + w[{0, 0, 4}]/2 - 4*w[{0, 0, 0, 0, 4}],
 w[{0, 0, 1, 0, 3}] -> uZeta[4]/40 + (w[{0, 1}]*w[{0, 3}])/2 - w[{0, 0, 2}]^2/2 - (5*w[{0, 0, 4}])/12 - 3*w[{0, 3}]*w[{0, 0, 0, 1}] + (3*w[{0, 0, 0, 0, 4}])/2,
 w[{0, 0, 1, 1, 2}] -> (-31*uZeta[4])/80 - (w[{0, 1}]*w[{0, 3}])/2 + (5*w[{0, 0, 2}]^2)/4 + w[{0, 0, 4}]/6 + 3*w[{0, 3}]*w[{0, 0, 0, 1}] - (13*w[{0, 0, 0, 0, 4}])/4 - (7*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 0, 1, 2, 1}] -> (37*uZeta[4])/90 + (uZeta[3]*w[{0, 1}])/4 + (5*w[{0, 1}]*w[{0, 3}])/12 + (uZeta[2]*w[{0, 0, 2}])/6 + (3*w[{0, 0, 2}]^2)/4 + (5*w[{0, 0, 4}])/12 - 4*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 1}]*w[{0, 0, 0, 3}])/2 - uZeta[2]*w[{0, 0, 0, 0, 2}] - (3*w[{0, 0, 0, 0, 4}])/4 + (3*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 0, 1, 3, 0}] -> (9*uZeta[4])/80 - (w[{0, 1}]*w[{0, 3}])/2 + (5*w[{0, 0, 2}]^2)/4 + (17*w[{0, 0, 4}])/12 + 3*w[{0, 3}]*w[{0, 0, 0, 1}] - (33*w[{0, 0, 0, 0, 4}])/4 - (3*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 0, 2, 0, 2}] -> (11*uZeta[4])/120 + w[{0, 0, 2}]^2/2 - w[{0, 0, 4}]/12 + w[{0, 0, 0, 0, 4}]/2 - 2*w[{0, 0, 0, 2, 2}],
 w[{0, 0, 2, 1, 1}] -> (-587*uZeta[4])/720 + (uZeta[2]*w[{0, 1}]^2)/3 + (w[{0, 1}]*w[{0, 3}])/6 - (13*uZeta[2]*w[{0, 0, 2}])/12 + (w[{0, 1}]^2*w[{0, 0, 2}])/2 + w[{0, 0, 2}]^2/2 - w[{0, 0, 4}]/12 - 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}] + 9*uZeta[2]*w[{0, 0, 0, 0, 2}] - w[{0, 0, 0, 0, 4}] - 2*w[{0, 0, 0, 2, 2}],
 w[{0, 0, 2, 2, 0}] -> (-71*uZeta[4])/120 - uZeta[2]*w[{0, 0, 2}] - w[{0, 0, 2}]^2/2 - w[{0, 0, 4}]/6 - w[{0, 0, 0, 0, 4}]/2 - w[{0, 0, 0, 2, 2}],
 w[{0, 0, 3, 0, 1}] -> (-7*uZeta[4])/12 + (w[{0, 1}]*w[{0, 3}])/2 - uZeta[2]*w[{0, 0, 2}] - w[{0, 0, 4}]/4 - 3*w[{0, 1}]*w[{0, 0, 0, 3}] + 6*uZeta[2]*w[{0, 0, 0, 0, 2}] - w[{0, 0, 0, 2, 2}],
 w[{0, 0, 3, 1, 0}] -> (-33*uZeta[4])/40 + (w[{0, 1}]*w[{0, 3}])/2 - uZeta[2]*w[{0, 0, 2}] - (3*w[{0, 0, 2}]^2)/2 - (3*w[{0, 0, 4}])/2 - 3*w[{0, 3}]*w[{0, 0, 0, 1}] + (21*w[{0, 0, 0, 0, 4}])/2 + w[{0, 0, 0, 2, 2}],
 w[{0, 0, 4, 0, 0}] -> -uZeta[4]/4 - w[{0, 0, 4}] + 6*w[{0, 0, 0, 0, 4}],
 w[{0, 1, 0, 0, 3}] -> (-17*uZeta[4])/240 - (w[{0, 1}]*w[{0, 3}])/2 + w[{0, 0, 2}]^2/4 - w[{0, 0, 4}]/6 + 3*w[{0, 3}]*w[{0, 0, 0, 1}] + (3*w[{0, 0, 0, 0, 4}])/4 - w[{0, 0, 0, 2, 2}]/2,
 w[{0, 1, 0, 1, 2}] -> (47*uZeta[4])/120 + (w[{0, 1}]*w[{0, 3}])/2 - (7*w[{0, 0, 2}]^2)/2 - (11*w[{0, 0, 4}])/12 - 3*w[{0, 3}]*w[{0, 0, 0, 1}] + (17*w[{0, 0, 0, 0, 4}])/2 + 6*w[{0, 0, 0, 2, 2}],
 w[{0, 1, 0, 2, 1}] -> (131*uZeta[4])/240 - (uZeta[3]*w[{0, 1}])/4 - (3*w[{0, 1}]*w[{0, 3}])/4 + (uZeta[2]*w[{0, 0, 2}])/2 - (3*w[{0, 0, 2}]^2)/2 + 3*w[{0, 3}]*w[{0, 0, 0, 1}] + (3*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - 3*uZeta[2]*w[{0, 0, 0, 0, 2}] + (3*w[{0, 0, 0, 0, 4}])/2 + 3*w[{0, 0, 0, 2, 2}],
 w[{0, 1, 0, 3, 0}] -> (91*uZeta[4])/120 + uZeta[2]*w[{0, 0, 2}] + w[{0, 0, 2}]^2/2 + (2*w[{0, 0, 4}])/3 - (9*w[{0, 0, 0, 0, 4}])/2 + w[{0, 0, 0, 2, 2}],
 w[{0, 1, 1, 0, 2}] -> (-53*uZeta[4])/80 + (11*w[{0, 0, 2}]^2)/4 + (5*w[{0, 0, 4}])/12 - (19*w[{0, 0, 0, 0, 4}])/4 - (9*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 1, 1, 1, 1}] -> (343*uZeta[4])/576 + (uZeta[3]*w[{0, 1}])/12 - (11*uZeta[2]*w[{0, 1}]^2)/24 + w[{0, 1}]^4/24 + (w[{0, 1}]*w[{0, 3}])/36 + (13*uZeta[2]*w[{0, 0, 2}])/24 + (w[{0, 1}]^2*w[{0, 0, 2}])/4 + (5*w[{0, 0, 2}]^2)/8 + w[{0, 0, 4}]/8 + 4*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] - (w[{0, 1}]*w[{0, 0, 0, 3}])/6 - 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, 1, 2, 0}] -> (131*uZeta[4])/240 + (w[{0, 1}]*w[{0, 3}])/2 + uZeta[2]*w[{0, 0, 2}] - (7*w[{0, 0, 2}]^2)/4 - w[{0, 0, 4}]/12 - 3*w[{0, 3}]*w[{0, 0, 0, 1}] + (11*w[{0, 0, 0, 0, 4}])/4 + (11*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 1, 2, 0, 1}] -> (-433*uZeta[4])/720 - (uZeta[3]*w[{0, 1}])/4 + (5*w[{0, 1}]*w[{0, 3}])/12 - (5*uZeta[2]*w[{0, 0, 2}])/6 + 2*w[{0, 0, 2}]^2 + w[{0, 0, 4}]/3 - w[{0, 3}]*w[{0, 0, 0, 1}] - (5*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + 5*uZeta[2]*w[{0, 0, 0, 0, 2}] - 4*w[{0, 0, 0, 0, 4}] - 4*w[{0, 0, 0, 2, 2}],
 w[{0, 1, 2, 1, 0}] -> (-37*uZeta[4])/20 - w[{0, 1}]*w[{0, 3}] - 3*uZeta[2]*w[{0, 0, 2}] - 2*w[{0, 0, 2}]^2 - (2*w[{0, 0, 4}])/3 + 6*w[{0, 3}]*w[{0, 0, 0, 1}] + 4*w[{0, 0, 0, 0, 4}] - 2*w[{0, 0, 0, 2, 2}],
 w[{0, 2, 0, 0, 2}] -> (-11*uZeta[4])/40 - uZeta[2]*w[{0, 0, 2}] - (3*w[{0, 0, 2}]^2)/2 + w[{0, 0, 4}]/4 - (3*w[{0, 0, 0, 0, 4}])/2,
 w[{0, 2, 0, 1, 1}] -> (4*uZeta[4])/15 - (uZeta[3]*w[{0, 1}])/4 - (7*uZeta[2]*w[{0, 1}]^2)/6 + (w[{0, 1}]*w[{0, 3}])/12 + (5*uZeta[2]*w[{0, 0, 2}])/6 - w[{0, 1}]^2*w[{0, 0, 2}] - (11*w[{0, 0, 2}]^2)/4 - w[{0, 0, 4}]/2 + 4*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] - (w[{0, 1}]*w[{0, 0, 0, 3}])/2 - 13*uZeta[2]*w[{0, 0, 0, 0, 2}] + (19*w[{0, 0, 0, 0, 4}])/4 + (7*w[{0, 0, 0, 2, 2}])/2,
 w[{0, 2, 0, 2, 0}] -> (157*uZeta[4])/60 + 4*uZeta[2]*w[{0, 0, 2}] + 2*w[{0, 0, 2}]^2 + w[{0, 0, 4}]/6 + 2*w[{0, 0, 0, 0, 4}] + 4*w[{0, 0, 0, 2, 2}],
 w[{0, 2, 1, 0, 1}] -> (979*uZeta[4])/720 + (uZeta[3]*w[{0, 1}])/4 - (5*w[{0, 1}]*w[{0, 3}])/12 + (11*uZeta[2]*w[{0, 0, 2}])/6 + (7*w[{0, 0, 2}]^2)/2 + w[{0, 0, 4}]/2 + w[{0, 3}]*w[{0, 0, 0, 1}] + (5*w[{0, 1}]*w[{0, 0, 0, 3}])/2 - 5*uZeta[2]*w[{0, 0, 0, 0, 2}] - (11*w[{0, 0, 0, 0, 4}])/2 - 5*w[{0, 0, 0, 2, 2}],
 w[{0, 3, 0, 0, 1}] -> (43*uZeta[4])/80 - (w[{0, 1}]*w[{0, 3}])/2 + uZeta[2]*w[{0, 0, 2}] - w[{0, 0, 2}]^2/4 - w[{0, 0, 4}]/3 + 3*w[{0, 1}]*w[{0, 0, 0, 3}] - 6*uZeta[2]*w[{0, 0, 0, 0, 2}] + (9*w[{0, 0, 0, 0, 4}])/4 + w[{0, 0, 0, 2, 2}]/2,
 w[{1, 0, 0, 0, 3}] -> (-7*uZeta[4])/45 + (w[{0, 1}]*w[{0, 3}])/6 - (uZeta[2]*w[{0, 0, 2}])/3 + w[{0, 0, 4}]/6 - w[{0, 3}]*w[{0, 0, 0, 1}] - w[{0, 1}]*w[{0, 0, 0, 3}] + 2*uZeta[2]*w[{0, 0, 0, 0, 2}] - w[{0, 0, 0, 0, 4}],
 w[{1, 0, 0, 1, 2}] -> -uZeta[4]/36 - (uZeta[3]*w[{0, 1}])/4 + (w[{0, 1}]*w[{0, 3}])/12 - (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}] - (w[{0, 1}]*w[{0, 0, 0, 3}])/2 + uZeta[2]*w[{0, 0, 0, 0, 2}] - (5*w[{0, 0, 0, 0, 4}])/4 - w[{0, 0, 0, 2, 2}]/2,
 w[{1, 0, 0, 2, 1}] -> (97*uZeta[4])/144 - (2*uZeta[2]*w[{0, 1}]^2)/3 + (3*uZeta[2]*w[{0, 0, 2}])/2 - w[{0, 1}]^2*w[{0, 0, 2}] - w[{0, 0, 2}]^2/4 - w[{0, 0, 4}]/4 + 4*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] - w[{0, 3}]*w[{0, 0, 0, 1}] - 14*uZeta[2]*w[{0, 0, 0, 0, 2}] + (5*w[{0, 0, 0, 0, 4}])/4 - w[{0, 0, 0, 2, 2}]/2,
 w[{1, 0, 1, 0, 2}] -> (31*uZeta[4])/80 + (uZeta[3]*w[{0, 1}])/4 + (w[{0, 1}]*w[{0, 3}])/4 - (uZeta[2]*w[{0, 0, 2}])/2 - w[{0, 0, 2}]^2/2 + w[{0, 0, 4}]/12 - (3*w[{0, 1}]*w[{0, 0, 0, 3}])/2 + 3*uZeta[2]*w[{0, 0, 0, 0, 2}] - w[{0, 0, 0, 0, 4}]/2,
 w[{1, 0, 1, 1, 1}] -> (-343*uZeta[4])/144 - (uZeta[3]*w[{0, 1}])/3 + (11*uZeta[2]*w[{0, 1}]^2)/6 - w[{0, 1}]^4/6 - (w[{0, 1}]*w[{0, 3}])/9 - (13*uZeta[2]*w[{0, 0, 2}])/6 - w[{0, 1}]^2*w[{0, 0, 2}] - (5*w[{0, 0, 2}]^2)/2 - w[{0, 0, 4}]/2 - 16*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + (2*w[{0, 1}]*w[{0, 0, 0, 3}])/3 + 8*uZeta[2]*w[{0, 0, 0, 0, 2}] + 5*w[{0, 0, 0, 0, 4}] + 4*w[{0, 0, 0, 2, 2}],
 w[{1, 0, 2, 0, 1}] -> (-31*uZeta[4])/24 + (uZeta[3]*w[{0, 1}])/2 + (7*uZeta[2]*w[{0, 1}]^2)/3 - (w[{0, 1}]*w[{0, 3}])/6 - (8*uZeta[2]*w[{0, 0, 2}])/3 + 2*w[{0, 1}]^2*w[{0, 0, 2}] + w[{0, 0, 4}]/6 - 8*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + w[{0, 1}]*w[{0, 0, 0, 3}] + 26*uZeta[2]*w[{0, 0, 0, 0, 2}] + 2*w[{0, 0, 0, 2, 2}],
 w[{1, 1, 0, 0, 2}] -> (-31*uZeta[4])/60 + (uZeta[2]*w[{0, 1}]^2)/3 - (w[{0, 1}]*w[{0, 3}])/6 - (5*uZeta[2]*w[{0, 0, 2}])/12 + (w[{0, 1}]^2*w[{0, 0, 2}])/2 + w[{0, 0, 2}]^2/4 - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 1}] + w[{0, 1}]*w[{0, 0, 0, 3}] + 5*uZeta[2]*w[{0, 0, 0, 0, 2}] + w[{0, 0, 0, 0, 4}]/4 + w[{0, 0, 0, 2, 2}]/2,
 w[{1, 1, 0, 1, 1}] -> (343*uZeta[4])/96 + (uZeta[3]*w[{0, 1}])/2 - (11*uZeta[2]*w[{0, 1}]^2)/4 + w[{0, 1}]^4/4 + (w[{0, 1}]*w[{0, 3}])/6 + (13*uZeta[2]*w[{0, 0, 2}])/4 + (3*w[{0, 1}]^2*w[{0, 0, 2}])/2 + (15*w[{0, 0, 2}]^2)/4 + (3*w[{0, 0, 4}])/4 + 24*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}] - (15*w[{0, 0, 0, 0, 4}])/2 - 6*w[{0, 0, 0, 2, 2}],
 w[{2, 0, 0, 0, 2}] -> (-7*uZeta[4])/30 + w[{0, 0, 2}]^2 - w[{0, 0, 4}]/6 + w[{0, 0, 0, 0, 4}]
}

(* weight 5 length 5 *)

{
w[{0, 0, 0, 0, 5}] -> -w[{0, 5}]/24 + w[{0, 0, 0, 5}]/2,
 w[{0, 0, 0, 1, 4}] -> -(uZeta[4]*w[{0, 1}])/3 - (uZeta[2]*w[{0, 3}])/12 - (5*w[{0, 5}])/24 - (w[{0, 3}]*w[{0, 0, 2}])/2 + 2*uZeta[4]*w[{0, 0, 0, 1}] + w[{0, 0, 0, 5}]/2 + w[{0, 0, 2, 3}]/2,
 w[{0, 0, 0, 2, 3}] -> -w[{0, 5}]/24 + w[{0, 0, 2, 3}]/2,
 w[{0, 0, 0, 3, 2}] -> (uZeta[2]*w[{0, 3}])/4 + (5*w[{0, 5}])/24 + (w[{0, 3}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 0, 0, 3}] - 2*w[{0, 0, 0, 5}] + w[{0, 0, 2, 3}]/2,
 w[{0, 0, 0, 4, 1}] -> (uZeta[4]*w[{0, 1}])/4 + (uZeta[2]*w[{0, 3}])/4 + (7*w[{0, 5}])/24 + (w[{0, 3}]*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 0, 4}])/2 - uZeta[4]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 0, 0, 3}] - (3*w[{0, 0, 0, 5}])/2,
 w[{0, 0, 0, 5, 0}] -> w[{0, 5}]/6 - w[{0, 0, 0, 5}],
 w[{0, 0, 1, 0, 4}] -> -w[{0, 5}]/6 + (3*w[{0, 0, 0, 5}])/2 - w[{0, 0, 2, 3}]/2,
 w[{0, 0, 1, 1, 3}] -> -w[{0, 5}]/4 + (5*w[{0, 0, 0, 5}])/2 - w[{0, 0, 2, 3}],
 w[{0, 0, 1, 2, 2}] -> -(uZeta[2]*uZeta[3])/4 - (5*uZeta[4]*w[{0, 1}])/2 + w[{0, 5}]/6 - (w[{0, 3}]*w[{0, 0, 2}])/2 + 15*uZeta[4]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 0, 0, 3}])/2 - 3*w[{0, 0, 0, 5}] + 2*w[{0, 0, 2, 3}],
 w[{0, 0, 1, 3, 1}] -> -(uZeta[2]*uZeta[3])/4 - (9*uZeta[4]*w[{0, 1}])/4 + (uZeta[2]*w[{0, 3}])/4 + (5*w[{0, 5}])/12 + (3*w[{0, 1}]*w[{0, 0, 4}])/4 + 15*uZeta[4]*w[{0, 0, 0, 1}] - (3*uZeta[2]*w[{0, 0, 0, 3}])/2 - 5*w[{0, 0, 0, 5}] + (5*w[{0, 0, 2, 3}])/2,
 w[{0, 0, 1, 4, 0}] -> (uZeta[2]*w[{0, 3}])/4 + (7*w[{0, 5}])/24 + (w[{0, 3}]*w[{0, 0, 2}])/2 - 2*w[{0, 0, 0, 5}],
 w[{0, 0, 2, 0, 3}] -> -(uZeta[2]*w[{0, 3}])/4 - w[{0, 5}]/12 - (w[{0, 3}]*w[{0, 0, 2}])/2 + (3*w[{0, 0, 0, 5}])/2 - w[{0, 0, 2, 3}],
 w[{0, 0, 2, 1, 2}] -> (5*uZeta[4]*w[{0, 1}])/3 + (uZeta[2]*w[{0, 3}])/6 - w[{0, 5}]/3 + w[{0, 3}]*w[{0, 0, 2}] - 10*uZeta[4]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 0, 0, 3}] + (13*w[{0, 0, 0, 5}])/2 - (9*w[{0, 0, 2, 3}])/2,
 w[{0, 0, 2, 2, 1}] -> -(uZeta[2]*uZeta[3])/4 - (23*uZeta[4]*w[{0, 1}])/6 - (uZeta[2]*w[{0, 3}])/3 + w[{0, 5}]/6 - uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 0, 4}])/4 + 20*uZeta[4]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 0, 0, 3}])/2 - (7*w[{0, 0, 0, 5}])/2 + (5*w[{0, 0, 2, 3}])/2,
 w[{0, 0, 2, 3, 0}] -> (uZeta[2]*w[{0, 3}])/4 + (5*w[{0, 5}])/24 + (w[{0, 3}]*w[{0, 0, 2}])/2 - (3*w[{0, 0, 0, 5}])/2 + w[{0, 0, 2, 3}]/2,
 w[{0, 0, 3, 0, 2}] -> -(uZeta[2]*w[{0, 3}])/2 - w[{0, 5}]/4 + 3*uZeta[2]*w[{0, 0, 0, 3}] + (5*w[{0, 0, 0, 5}])/2 - w[{0, 0, 2, 3}],
 w[{0, 0, 3, 1, 1}] -> (-11*uZeta[4]*w[{0, 1}])/12 - (11*uZeta[2]*w[{0, 3}])/24 + (w[{0, 1}]^2*w[{0, 3}])/4 - w[{0, 5}]/12 - uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] + (w[{0, 3}]*w[{0, 0, 2}])/4 - (w[{0, 1}]*w[{0, 0, 4}])/4 + 4*uZeta[2]*w[{0, 0, 0, 3}] + (3*w[{0, 0, 0, 5}])/2 - w[{0, 0, 2, 3}],
 w[{0, 0, 3, 2, 0}] -> -(uZeta[2]*w[{0, 3}])/4 - w[{0, 5}]/24 - (w[{0, 3}]*w[{0, 0, 2}])/2 - w[{0, 0, 0, 5}]/2 + w[{0, 0, 2, 3}]/2,
 w[{0, 0, 4, 0, 1}] -> -(uZeta[4]*w[{0, 1}])/12 - (uZeta[2]*w[{0, 3}])/3 - (w[{0, 1}]*w[{0, 0, 4}])/2 - uZeta[4]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 0, 0, 3}] + w[{0, 0, 0, 5}]/2 - w[{0, 0, 2, 3}]/2,
 w[{0, 0, 4, 1, 0}] -> -(uZeta[4]*w[{0, 1}])/3 - (uZeta[2]*w[{0, 3}])/12 - (5*w[{0, 5}])/24 - (w[{0, 3}]*w[{0, 0, 2}])/2 + 2*uZeta[4]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 0, 0, 3}] + w[{0, 0, 0, 5}] + w[{0, 0, 2, 3}]/2,
 w[{0, 1, 0, 0, 4}] -> (uZeta[4]*w[{0, 1}])/3 - (uZeta[2]*w[{0, 3}])/6 + w[{0, 5}]/12 - 2*uZeta[4]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 0, 0, 3}] - w[{0, 0, 0, 5}]/2,
 w[{0, 1, 0, 1, 3}] -> (uZeta[2]*uZeta[3])/4 + (5*uZeta[4]*w[{0, 1}])/2 - (uZeta[2]*w[{0, 3}])/4 + w[{0, 5}]/12 - 15*uZeta[4]*w[{0, 0, 0, 1}] + (3*uZeta[2]*w[{0, 0, 0, 3}])/2 - w[{0, 0, 2, 3}]/2,
 w[{0, 1, 0, 2, 2}] -> (uZeta[2]*uZeta[3])/2 + (10*uZeta[4]*w[{0, 1}])/3 + (uZeta[2]*w[{0, 3}])/3 - 20*uZeta[4]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 0, 0, 3}],
 w[{0, 1, 0, 3, 1}] -> (uZeta[2]*uZeta[3])/4 + (19*uZeta[4]*w[{0, 1}])/6 + (2*uZeta[2]*w[{0, 3}])/3 - w[{0, 5}]/4 + uZeta[2]*w[{0, 1}]*w[{0, 0, 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}] - (13*uZeta[2]*w[{0, 0, 0, 3}])/2 + 2*w[{0, 0, 0, 5}] - w[{0, 0, 2, 3}]/2,
 w[{0, 1, 0, 4, 0}] -> (uZeta[4]*w[{0, 1}])/3 + (uZeta[2]*w[{0, 3}])/3 - w[{0, 5}]/6 - 2*uZeta[4]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 0, 0, 3}] + w[{0, 0, 0, 5}],
 w[{0, 1, 1, 0, 3}] -> -(uZeta[2]*uZeta[3])/4 - (5*uZeta[4]*w[{0, 1}])/2 + w[{0, 5}]/12 + (w[{0, 3}]*w[{0, 0, 2}])/2 + 15*uZeta[4]*w[{0, 0, 0, 1}] + (5*uZeta[2]*w[{0, 0, 0, 3}])/2 - w[{0, 0, 0, 5}] + w[{0, 0, 2, 3}]/2,
 w[{0, 1, 1, 1, 2}] -> (-3*uZeta[2]*w[{0, 3}])/4 + w[{0, 5}]/12 - (w[{0, 3}]*w[{0, 0, 2}])/2 + 2*uZeta[2]*w[{0, 0, 0, 3}] - (3*w[{0, 0, 0, 5}])/2 + w[{0, 0, 2, 3}],
 w[{0, 1, 1, 2, 1}] -> -(uZeta[2]*uZeta[3])/4 + (9*uZeta[4]*w[{0, 1}])/2 + (7*uZeta[2]*w[{0, 3}])/4 - w[{0, 5}]/4 + uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] + w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 1}]*w[{0, 0, 4}])/4 - 30*uZeta[4]*w[{0, 0, 0, 1}] - (11*uZeta[2]*w[{0, 0, 0, 3}])/2 + (9*w[{0, 0, 0, 5}])/2 - 3*w[{0, 0, 2, 3}],
 w[{0, 1, 1, 3, 0}] -> (uZeta[2]*w[{0, 3}])/4 - w[{0, 5}]/6 - (w[{0, 3}]*w[{0, 0, 2}])/2 - 4*uZeta[2]*w[{0, 0, 0, 3}] + w[{0, 0, 0, 5}],
 w[{0, 1, 2, 0, 2}] -> -(uZeta[2]*uZeta[3])/4 - (25*uZeta[4]*w[{0, 1}])/6 - (2*uZeta[2]*w[{0, 3}])/3 - (w[{0, 3}]*w[{0, 0, 2}])/2 + 25*uZeta[4]*w[{0, 0, 0, 1}] + (7*uZeta[2]*w[{0, 0, 0, 3}])/2 - w[{0, 0, 0, 5}]/2 + w[{0, 0, 2, 3}]/2,
 w[{0, 1, 2, 1, 1}] -> (uZeta[2]*uZeta[3])/4 - (73*uZeta[4]*w[{0, 1}])/12 - (37*uZeta[2]*w[{0, 3}])/24 - (w[{0, 1}]^2*w[{0, 3}])/4 + w[{0, 5}]/4 - 3*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}])/2 + 30*uZeta[4]*w[{0, 0, 0, 1}] + (11*uZeta[2]*w[{0, 0, 0, 3}])/2 - (9*w[{0, 0, 0, 5}])/2 + 3*w[{0, 0, 2, 3}],
 w[{0, 1, 2, 2, 0}] -> (uZeta[2]*uZeta[3])/4 + (5*uZeta[4]*w[{0, 1}])/6 + (uZeta[2]*w[{0, 3}])/3 + (w[{0, 3}]*w[{0, 0, 2}])/2 - 5*uZeta[4]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 0, 5}]/2 - w[{0, 0, 2, 3}]/2,
 w[{0, 1, 3, 0, 1}] -> -(uZeta[2]*uZeta[3])/4 - (19*uZeta[4]*w[{0, 1}])/6 - (2*uZeta[2]*w[{0, 3}])/3 + w[{0, 5}]/4 - uZeta[2]*w[{0, 1}]*w[{0, 0, 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}] + (13*uZeta[2]*w[{0, 0, 0, 3}])/2 - 2*w[{0, 0, 0, 5}] + w[{0, 0, 2, 3}]/2,
 w[{0, 2, 0, 0, 3}] -> -(uZeta[2]*w[{0, 3}])/4 - w[{0, 5}]/12 - (w[{0, 3}]*w[{0, 0, 2}])/2 + w[{0, 0, 0, 5}]/2,
 w[{0, 2, 0, 1, 2}] -> (uZeta[2]*uZeta[3])/4 + (25*uZeta[4]*w[{0, 1}])/6 + (uZeta[2]*w[{0, 3}])/6 + (w[{0, 3}]*w[{0, 0, 2}])/2 - 25*uZeta[4]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 0, 0, 3}])/2 - w[{0, 0, 0, 5}]/2 + w[{0, 0, 2, 3}]/2,
 w[{0, 2, 0, 2, 1}] -> (uZeta[2]*uZeta[3])/2 + (77*uZeta[4]*w[{0, 1}])/12 - (uZeta[2]*w[{0, 3}])/12 + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 0, 4}])/2 - 25*uZeta[4]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 0, 0, 3}] + w[{0, 0, 0, 5}]/2 - w[{0, 0, 2, 3}]/2,
 w[{0, 2, 0, 3, 0}] -> w[{0, 5}]/6 - w[{0, 0, 0, 5}],
 w[{0, 2, 1, 0, 2}] -> -(uZeta[2]*uZeta[3])/4 - (5*uZeta[4]*w[{0, 1}])/2 + (uZeta[2]*w[{0, 3}])/2 + (w[{0, 3}]*w[{0, 0, 2}])/2 + 15*uZeta[4]*w[{0, 0, 0, 1}] - (5*uZeta[2]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 0, 5}]/2 - w[{0, 0, 2, 3}]/2,
 w[{0, 2, 1, 1, 1}] -> -(uZeta[2]*uZeta[3])/12 + (53*uZeta[4]*w[{0, 1}])/24 - (uZeta[2]*w[{0, 1}]^3)/6 + (37*uZeta[2]*w[{0, 3}])/72 + (w[{0, 1}]^2*w[{0, 3}])/4 - w[{0, 5}]/12 + (3*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/2 + (w[{0, 3}]*w[{0, 0, 2}])/4 - (w[{0, 1}]*w[{0, 0, 4}])/4 - 10*uZeta[4]*w[{0, 0, 0, 1}] - (11*uZeta[2]*w[{0, 0, 0, 3}])/6 + (3*w[{0, 0, 0, 5}])/2 - w[{0, 0, 2, 3}],
 w[{0, 2, 2, 0, 1}] -> -(uZeta[2]*uZeta[3])/4 - (37*uZeta[4]*w[{0, 1}])/12 - (uZeta[2]*w[{0, 3}])/12 - (w[{0, 1}]*w[{0, 0, 4}])/2 + 20*uZeta[4]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 0, 0, 3}])/2,
 w[{0, 3, 0, 0, 2}] -> (uZeta[2]*w[{0, 3}])/2 + w[{0, 5}]/12 - 3*uZeta[2]*w[{0, 0, 0, 3}] - w[{0, 0, 0, 5}]/2,
 w[{0, 3, 0, 1, 1}] -> (uZeta[2]*uZeta[3])/4 + (19*uZeta[4]*w[{0, 1}])/6 + (5*uZeta[2]*w[{0, 3}])/12 - w[{0, 5}]/12 + uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 1}]*w[{0, 0, 4}])/2 - 15*uZeta[4]*w[{0, 0, 0, 1}] - (5*uZeta[2]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 0, 5}] - w[{0, 0, 2, 3}]/2,
 w[{0, 3, 1, 0, 1}] -> -(uZeta[2]*uZeta[3])/4 - (19*uZeta[4]*w[{0, 1}])/6 - (uZeta[2]*w[{0, 3}])/6 - w[{0, 5}]/12 - uZeta[2]*w[{0, 1}]*w[{0, 0, 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*uZeta[2]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 2, 3}]/2,
 w[{0, 4, 0, 0, 1}] -> -(uZeta[4]*w[{0, 1}])/12 + (uZeta[2]*w[{0, 3}])/6 - w[{0, 5}]/12 - (w[{0, 1}]*w[{0, 0, 4}])/2 - uZeta[4]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 0, 0, 3}] + w[{0, 0, 0, 5}]/2,
 w[{1, 0, 0, 0, 4}] -> -(uZeta[4]*w[{0, 1}])/4 - (w[{0, 1}]*w[{0, 0, 4}])/2 + uZeta[4]*w[{0, 0, 0, 1}],
 w[{1, 0, 0, 1, 3}] -> -(uZeta[4]*w[{0, 1}])/4 - (3*w[{0, 1}]*w[{0, 0, 4}])/4,
 w[{1, 0, 0, 2, 2}] -> (4*uZeta[4]*w[{0, 1}])/3 - (uZeta[2]*w[{0, 3}])/6 + uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] + (w[{0, 1}]*w[{0, 0, 4}])/4 - 5*uZeta[4]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 0, 0, 3}],
 w[{1, 0, 0, 3, 1}] -> (11*uZeta[4]*w[{0, 1}])/12 - (w[{0, 1}]^2*w[{0, 3}])/2 + uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] + (w[{0, 1}]*w[{0, 0, 4}])/4,
 w[{1, 0, 1, 0, 3}] -> (-2*uZeta[4]*w[{0, 1}])/3 - (5*uZeta[2]*w[{0, 3}])/12 - uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 0, 4}])/2,
 w[{1, 0, 1, 1, 2}] -> (uZeta[2]*uZeta[3])/4 - (9*uZeta[4]*w[{0, 1}])/2 + (uZeta[2]*w[{0, 3}])/2 - uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] + (w[{0, 3}]*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 0, 4}])/4 + 30*uZeta[4]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 0, 0, 3}])/2,
 w[{1, 0, 1, 2, 1}] -> (19*uZeta[4]*w[{0, 1}])/6 - (5*uZeta[2]*w[{0, 3}])/12 + (w[{0, 1}]^2*w[{0, 3}])/2 + 4*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 2}])/2 - (w[{0, 1}]*w[{0, 0, 4}])/2,
 w[{1, 0, 2, 0, 2}] -> -(uZeta[2]*uZeta[3])/4 - (47*uZeta[4]*w[{0, 1}])/12 + (uZeta[2]*w[{0, 3}])/12 - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 1}]*w[{0, 0, 4}])/2 + 10*uZeta[4]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 0, 0, 3}])/2,
 w[{1, 0, 2, 1, 1}] -> (-13*uZeta[4]*w[{0, 1}])/24 + (uZeta[2]*w[{0, 1}]^3)/2 - (w[{0, 1}]^2*w[{0, 3}])/2 - (3*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/2 + (w[{0, 1}]*w[{0, 0, 4}])/4,
 w[{1, 1, 0, 0, 3}] -> (5*uZeta[2]*w[{0, 3}])/24 + (w[{0, 1}]^2*w[{0, 3}])/4 + (w[{0, 3}]*w[{0, 0, 2}])/4,
 w[{1, 1, 0, 1, 2}] -> -(uZeta[2]*uZeta[3])/4 + (35*uZeta[4]*w[{0, 1}])/12 - (7*uZeta[2]*w[{0, 3}])/24 - (w[{0, 1}]^2*w[{0, 3}])/4 - uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 2}])/4 - 30*uZeta[4]*w[{0, 0, 0, 1}] + (uZeta[2]*w[{0, 0, 0, 3}])/2,
 w[{1, 1, 0, 2, 1}] -> (-25*uZeta[4]*w[{0, 1}])/24 - (uZeta[2]*w[{0, 1}]^3)/2 + (5*uZeta[2]*w[{0, 3}])/24 + (w[{0, 1}]^2*w[{0, 3}])/4 - (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/2 + (w[{0, 3}]*w[{0, 0, 2}])/4,
 w[{1, 1, 1, 0, 2}] -> (uZeta[2]*uZeta[3])/12 - (5*uZeta[4]*w[{0, 1}])/8 + (uZeta[2]*w[{0, 1}]^3)/6 + (uZeta[2]*w[{0, 3}])/36 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 2}])/2 + 10*uZeta[4]*w[{0, 0, 0, 1}] - (uZeta[2]*w[{0, 0, 0, 3}])/6,
 w[{1, 2, 0, 0, 2}] -> (25*uZeta[4]*w[{0, 1}])/12 + (uZeta[2]*w[{0, 3}])/12 + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 2}])/2 - 5*uZeta[4]*w[{0, 0, 0, 1}] - uZeta[2]*w[{0, 0, 0, 3}],
 w[{2, 0, 0, 0, 3}] -> (uZeta[2]*w[{0, 3}])/4 + (w[{0, 3}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 0, 0, 3}],
 w[{2, 0, 0, 1, 2}] -> -(uZeta[2]*uZeta[3])/4 - (5*uZeta[4]*w[{0, 1}])/6 + (uZeta[2]*w[{0, 3}])/6 - (w[{0, 3}]*w[{0, 0, 2}])/2 + 5*uZeta[4]*w[{0, 0, 0, 1}] - (3*uZeta[2]*w[{0, 0, 0, 3}])/2
}

(* weight 6 length 5 *)

{
w[{0, 0, 0, 3, 3}] -> (31*uZeta[6])/72 - w[{0, 3}]^2/12 + uZeta[4]*w[{0, 0, 2}] + w[{0, 0, 6}]/6 + w[{0, 3}]*w[{0, 0, 0, 3}] - 6*uZeta[4]*w[{0, 0, 0, 0, 2}] + (17*w[{0, 0, 0, 0, 6}])/2 - 6*w[{0, 0, 0, 1, 5}] + 3*w[{0, 0, 0, 2, 4}],
 w[{0, 0, 0, 4, 2}] -> (13*uZeta[6])/36 - w[{0, 3}]^2/6 + uZeta[4]*w[{0, 0, 2}] + w[{0, 0, 2}]*w[{0, 0, 4}] + (2*w[{0, 0, 6}])/3 + 2*w[{0, 3}]*w[{0, 0, 0, 3}] - 6*uZeta[4]*w[{0, 0, 0, 0, 2}] - w[{0, 0, 0, 0, 6}] - 4*w[{0, 0, 0, 1, 5}] + 2*w[{0, 0, 0, 2, 4}],
 w[{0, 0, 0, 5, 1}] -> (89*uZeta[6])/360 - w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/6 + (uZeta[4]*w[{0, 0, 2}])/3 + (uZeta[2]*w[{0, 0, 4}])/3 + w[{0, 0, 2}]*w[{0, 0, 4}] + (5*w[{0, 0, 6}])/6 + w[{0, 5}]*w[{0, 0, 0, 1}] + w[{0, 3}]*w[{0, 0, 0, 3}] + w[{0, 1}]*w[{0, 0, 0, 5}] - 2*uZeta[4]*w[{0, 0, 0, 0, 2}] - 2*uZeta[2]*w[{0, 0, 0, 0, 4}] - (13*w[{0, 0, 0, 0, 6}])/2,
 w[{0, 0, 0, 6, 0}] -> uZeta[6]/12 + w[{0, 0, 6}]/2 - 4*w[{0, 0, 0, 0, 6}],
 w[{0, 0, 1, 0, 5}] -> uZeta[6]/24 + (w[{0, 1}]*w[{0, 5}])/2 - w[{0, 0, 2}]*w[{0, 0, 4}] - (7*w[{0, 0, 6}])/12 - 3*w[{0, 5}]*w[{0, 0, 0, 1}] + (5*w[{0, 0, 0, 0, 6}])/2,
 w[{0, 0, 1, 1, 4}] -> (61*uZeta[6])/144 - (uZeta[3]*w[{0, 3}])/4 + w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/2 + (5*uZeta[4]*w[{0, 0, 2}])/4 - (9*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (25*w[{0, 0, 6}])/24 + 3*w[{0, 5}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 12*uZeta[4]*w[{0, 0, 0, 0, 2}] + (3*w[{0, 0, 0, 0, 6}])/4 + 2*w[{0, 0, 0, 1, 5}] - w[{0, 0, 0, 2, 4}]/2 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 1, 2, 3}] -> (49*uZeta[6])/72 - w[{0, 3}]^2/12 + (w[{0, 1}]*w[{0, 5}])/2 + (7*uZeta[4]*w[{0, 0, 2}])/4 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - w[{0, 0, 6}]/3 - 3*w[{0, 5}]*w[{0, 0, 0, 1}] + w[{0, 3}]*w[{0, 0, 0, 3}] - 15*uZeta[4]*w[{0, 0, 0, 0, 2}] + (11*w[{0, 0, 0, 0, 6}])/2 - 4*w[{0, 0, 0, 1, 5}] + 3*w[{0, 0, 0, 2, 4}] + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 1, 3, 2}] -> (191*uZeta[6])/144 - w[{0, 3}]^2/3 - (w[{0, 1}]*w[{0, 5}])/2 + 4*uZeta[4]*w[{0, 0, 2}] + 3*w[{0, 0, 2}]*w[{0, 0, 4}] + (49*w[{0, 0, 6}])/24 + 3*w[{0, 5}]*w[{0, 0, 0, 1}] + 4*w[{0, 3}]*w[{0, 0, 0, 3}] - 33*uZeta[4]*w[{0, 0, 0, 0, 2}] + w[{0, 0, 0, 0, 6}]/4 - 11*w[{0, 0, 0, 1, 5}] + (15*w[{0, 0, 0, 2, 4}])/2 + w[{0, 0, 2, 2, 2}],
 w[{0, 0, 1, 4, 1}] -> (101*uZeta[6])/144 - uZeta[4]*w[{0, 1}]^2 + (uZeta[3]*w[{0, 3}])/4 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/2 + (w[{0, 1}]*w[{0, 5}])/6 + (5*uZeta[4]*w[{0, 0, 2}])/6 - w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 0, 2}]^2)/2 + uZeta[2]*w[{0, 0, 4}] + 5*w[{0, 0, 2}]*w[{0, 0, 4}] + (35*w[{0, 0, 6}])/12 + 6*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - 4*w[{0, 5}]*w[{0, 0, 0, 1}] + (5*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + w[{0, 1}]*w[{0, 0, 0, 5}] + w[{0, 1}]*w[{0, 0, 2, 3}] - 5*uZeta[4]*w[{0, 0, 0, 0, 2}] - (13*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - 11*w[{0, 0, 0, 0, 6}] - 3*w[{0, 0, 0, 1, 5}] - uZeta[2]*w[{0, 0, 0, 2, 2}] + 2*w[{0, 0, 0, 2, 4}],
 w[{0, 0, 1, 5, 0}] -> (3*uZeta[6])/8 - w[{0, 3}]^2/4 - (w[{0, 1}]*w[{0, 5}])/2 + w[{0, 0, 2}]*w[{0, 0, 4}] + (11*w[{0, 0, 6}])/6 + 3*w[{0, 5}]*w[{0, 0, 0, 1}] - (5*w[{0, 0, 0, 0, 6}])/2 - 3*w[{0, 0, 0, 1, 5}],
 w[{0, 0, 2, 0, 4}] -> (5*uZeta[6])/72 - w[{0, 0, 6}]/6 - 10*w[{0, 0, 0, 0, 6}] + 8*w[{0, 0, 0, 1, 5}] - 4*w[{0, 0, 0, 2, 4}],
 w[{0, 0, 2, 1, 3}] -> (-215*uZeta[6])/144 + w[{0, 3}]^2/12 - 4*uZeta[4]*w[{0, 0, 2}] - (13*w[{0, 0, 6}])/24 - w[{0, 3}]*w[{0, 0, 0, 3}] + 27*uZeta[4]*w[{0, 0, 0, 0, 2}] - (91*w[{0, 0, 0, 0, 6}])/4 + 19*w[{0, 0, 0, 1, 5}] - (21*w[{0, 0, 0, 2, 4}])/2,
 w[{0, 0, 2, 3, 1}] -> (-53*uZeta[6])/480 - w[{0, 3}]^2/6 - (w[{0, 1}]*w[{0, 5}])/6 - (uZeta[4]*w[{0, 0, 2}])/6 + (uZeta[2]*w[{0, 0, 2}]^2)/2 + (uZeta[2]*w[{0, 0, 4}])/2 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (35*w[{0, 0, 6}])/24 + 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}] - 19*uZeta[4]*w[{0, 0, 0, 0, 2}] - (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (47*w[{0, 0, 0, 0, 6}])/4 - 15*w[{0, 0, 0, 1, 5}] - 3*uZeta[2]*w[{0, 0, 0, 2, 2}] + (17*w[{0, 0, 0, 2, 4}])/2 + w[{0, 0, 2, 2, 2}],
 w[{0, 0, 2, 4, 0}] -> -uZeta[6]/36 - w[{0, 3}]^2/2 - uZeta[4]*w[{0, 0, 2}] + (7*w[{0, 0, 6}])/6 + 10*w[{0, 0, 0, 0, 6}] - 8*w[{0, 0, 0, 1, 5}] + w[{0, 0, 0, 2, 4}],
 w[{0, 0, 3, 0, 3}] -> (-5*uZeta[6])/4 + w[{0, 3}]^2/2 - 3*uZeta[4]*w[{0, 0, 2}] - w[{0, 0, 6}]/4 - 3*w[{0, 3}]*w[{0, 0, 0, 3}] + 18*uZeta[4]*w[{0, 0, 0, 0, 2}] - (35*w[{0, 0, 0, 0, 6}])/2 + 12*w[{0, 0, 0, 1, 5}] - 6*w[{0, 0, 0, 2, 4}],
 w[{0, 0, 3, 1, 2}] -> (-61*uZeta[6])/24 + (uZeta[3]*w[{0, 3}])/4 + w[{0, 3}]^2/3 - (29*uZeta[4]*w[{0, 0, 2}])/4 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (5*w[{0, 0, 6}])/2 - (17*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 57*uZeta[4]*w[{0, 0, 0, 0, 2}] + (19*w[{0, 0, 0, 0, 6}])/2 + 12*w[{0, 0, 0, 1, 5}] - 12*w[{0, 0, 0, 2, 4}] - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 0, 3, 2, 1}] -> (-247*uZeta[6])/80 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + (3*w[{0, 3}]^2)/4 + (w[{0, 1}]*w[{0, 5}])/2 - (25*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}])/3 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - w[{0, 0, 6}] - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - w[{0, 5}]*w[{0, 0, 0, 1}] - 4*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}] + 11*uZeta[4]*w[{0, 0, 0, 0, 2}] + 7*uZeta[2]*w[{0, 0, 0, 0, 4}] + (23*w[{0, 0, 0, 0, 6}])/2 - 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, 0, 2, 2, 2}]/2,
 w[{0, 0, 3, 3, 0}] -> (-41*uZeta[6])/24 - 3*uZeta[4]*w[{0, 0, 2}] - 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, 2}] -> (-13*uZeta[6])/12 + w[{0, 3}]^2/3 - 3*uZeta[4]*w[{0, 0, 2}] - w[{0, 0, 2}]*w[{0, 0, 4}] - (4*w[{0, 0, 6}])/3 - 4*w[{0, 3}]*w[{0, 0, 0, 3}] + 18*uZeta[4]*w[{0, 0, 0, 0, 2}] + 13*w[{0, 0, 0, 0, 6}] - 2*w[{0, 0, 0, 2, 4}],
 w[{0, 0, 4, 1, 1}] -> (-4231*uZeta[6])/1440 + (uZeta[4]*w[{0, 1}]^2)/3 + (2*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + (7*w[{0, 3}]^2)/12 + (w[{0, 1}]*w[{0, 5}])/2 - (16*uZeta[4]*w[{0, 0, 2}])/3 + w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] - uZeta[2]*w[{0, 0, 2}]^2 - (25*uZeta[2]*w[{0, 0, 4}])/12 + (w[{0, 1}]^2*w[{0, 0, 4}])/2 - 2*w[{0, 0, 2}]*w[{0, 0, 4}] - (13*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}] - 5*w[{0, 3}]*w[{0, 0, 0, 3}] - 3*w[{0, 1}]*w[{0, 0, 0, 5}] + 21*uZeta[4]*w[{0, 0, 0, 0, 2}] + 15*uZeta[2]*w[{0, 0, 0, 0, 4}] + (31*w[{0, 0, 0, 0, 6}])/2 - 2*w[{0, 0, 0, 2, 4}],
 w[{0, 0, 4, 2, 0}] -> (-61*uZeta[6])/24 + (2*w[{0, 3}]^2)/3 - 3*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}])/6 - 2*w[{0, 3}]*w[{0, 0, 0, 3}] - 10*w[{0, 0, 0, 0, 6}] + 12*w[{0, 0, 0, 1, 5}] - 4*w[{0, 0, 0, 2, 4}],
 w[{0, 0, 5, 0, 1}] -> (-277*uZeta[6])/360 + w[{0, 3}]^2/6 + (w[{0, 1}]*w[{0, 5}])/2 - uZeta[4]*w[{0, 0, 2}] - uZeta[2]*w[{0, 0, 4}] - w[{0, 0, 2}]*w[{0, 0, 4}] - (11*w[{0, 0, 6}])/12 - 2*w[{0, 3}]*w[{0, 0, 0, 3}] - 3*w[{0, 1}]*w[{0, 0, 0, 5}] + 6*uZeta[4]*w[{0, 0, 0, 0, 2}] + 6*uZeta[2]*w[{0, 0, 0, 0, 4}] + (19*w[{0, 0, 0, 0, 6}])/2 - 2*w[{0, 0, 0, 1, 5}],
 w[{0, 0, 5, 1, 0}] -> (-25*uZeta[6])/18 + w[{0, 3}]^2/3 + (w[{0, 1}]*w[{0, 5}])/2 - uZeta[4]*w[{0, 0, 2}] - uZeta[2]*w[{0, 0, 4}] - 2*w[{0, 0, 2}]*w[{0, 0, 4}] - (7*w[{0, 0, 6}])/3 - 3*w[{0, 5}]*w[{0, 0, 0, 1}] - w[{0, 3}]*w[{0, 0, 0, 3}] + 10*w[{0, 0, 0, 0, 6}] + 2*w[{0, 0, 0, 1, 5}],
 w[{0, 0, 6, 0, 0}] -> -uZeta[6]/4 - w[{0, 0, 6}] + 6*w[{0, 0, 0, 0, 6}],
 w[{0, 1, 0, 0, 5}] -> -uZeta[6]/18 + w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/2 - (5*w[{0, 0, 6}])/12 + 3*w[{0, 5}]*w[{0, 0, 0, 1}] - w[{0, 3}]*w[{0, 0, 0, 3}] + 5*w[{0, 0, 0, 0, 6}] - w[{0, 0, 0, 1, 5}],
 w[{0, 1, 0, 1, 4}] -> (-19*uZeta[6])/18 + (uZeta[3]*w[{0, 3}])/4 + (5*w[{0, 3}]^2)/12 + (w[{0, 1}]*w[{0, 5}])/2 - (5*uZeta[4]*w[{0, 0, 2}])/2 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (13*w[{0, 0, 6}])/12 - 3*w[{0, 5}]*w[{0, 0, 0, 1}] - (7*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 24*uZeta[4]*w[{0, 0, 0, 0, 2}] + (17*w[{0, 0, 0, 0, 6}])/2 - w[{0, 0, 0, 2, 4}] - w[{0, 0, 2, 2, 2}],
 w[{0, 1, 0, 2, 3}] -> (-67*uZeta[6])/72 + w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/2 - (9*uZeta[4]*w[{0, 0, 2}])/4 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (2*w[{0, 0, 6}])/3 + 3*w[{0, 5}]*w[{0, 0, 0, 1}] - w[{0, 3}]*w[{0, 0, 0, 3}] + 27*uZeta[4]*w[{0, 0, 0, 0, 2}] + (13*w[{0, 0, 0, 0, 6}])/2 - w[{0, 0, 0, 1, 5}] - (3*w[{0, 0, 2, 2, 2}])/2,
 w[{0, 1, 0, 3, 2}] -> uZeta[6]/48 - (uZeta[3]*w[{0, 3}])/4 - (5*w[{0, 3}]^2)/6 + (w[{0, 1}]*w[{0, 5}])/2 - (uZeta[4]*w[{0, 0, 2}])/2 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (13*w[{0, 0, 6}])/8 - 3*w[{0, 5}]*w[{0, 0, 0, 1}] + (17*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 9*uZeta[4]*w[{0, 0, 0, 0, 2}] - (55*w[{0, 0, 0, 0, 6}])/4 - 2*w[{0, 0, 0, 1, 5}] + (9*w[{0, 0, 0, 2, 4}])/2 - w[{0, 0, 2, 2, 2}],
 w[{0, 1, 0, 4, 1}] -> (2807*uZeta[6])/1440 + uZeta[4]*w[{0, 1}]^2 - (uZeta[3]*w[{0, 3}])/4 - (11*w[{0, 3}]^2)/12 - (5*w[{0, 1}]*w[{0, 5}])/6 + (7*uZeta[4]*w[{0, 0, 2}])/2 + uZeta[2]*w[{0, 0, 2}]^2 + (5*uZeta[2]*w[{0, 0, 4}])/6 + (29*w[{0, 0, 6}])/12 - 6*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 3*w[{0, 5}]*w[{0, 0, 0, 1}] + (19*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 3*w[{0, 1}]*w[{0, 0, 0, 5}] - w[{0, 1}]*w[{0, 0, 2, 3}] - 7*uZeta[4]*w[{0, 0, 0, 0, 2}] - 5*uZeta[2]*w[{0, 0, 0, 0, 4}] - (57*w[{0, 0, 0, 0, 6}])/2 + 4*w[{0, 0, 0, 1, 5}] + 2*w[{0, 0, 0, 2, 4}],
 w[{0, 1, 0, 5, 0}] -> (37*uZeta[6])/36 - 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}] + (3*w[{0, 0, 6}])/2 + 2*w[{0, 3}]*w[{0, 0, 0, 3}] - 15*w[{0, 0, 0, 0, 6}] + 2*w[{0, 0, 0, 1, 5}],
 w[{0, 1, 1, 0, 4}] -> (-5*uZeta[6])/48 + w[{0, 3}]^2/4 + (3*uZeta[4]*w[{0, 0, 2}])/4 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (19*w[{0, 0, 6}])/24 - 3*w[{0, 3}]*w[{0, 0, 0, 3}] - 12*uZeta[4]*w[{0, 0, 0, 0, 2}] + (43*w[{0, 0, 0, 0, 6}])/4 - 2*w[{0, 0, 0, 1, 5}] - w[{0, 0, 0, 2, 4}]/2 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 1, 1, 1, 3}] -> -uZeta[6]/4 + w[{0, 3}]^2/2 - (3*w[{0, 0, 6}])/2 - 6*w[{0, 3}]*w[{0, 0, 0, 3}] - 6*uZeta[4]*w[{0, 0, 0, 0, 2}] + 15*w[{0, 0, 0, 0, 6}] - 3*w[{0, 0, 0, 2, 4}],
 w[{0, 1, 1, 2, 2}] -> (31*uZeta[6])/16 + (uZeta[3]*w[{0, 3}])/4 - w[{0, 3}]^2/3 + (7*uZeta[4]*w[{0, 0, 2}])/4 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (9*w[{0, 0, 6}])/8 + (11*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 6*uZeta[4]*w[{0, 0, 0, 0, 2}] - (31*w[{0, 0, 0, 0, 6}])/4 - 4*w[{0, 0, 0, 1, 5}] + (11*w[{0, 0, 0, 2, 4}])/2 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 1, 1, 3, 1}] -> (619*uZeta[6])/120 - (3*w[{0, 3}]^2)/2 - (w[{0, 1}]*w[{0, 5}])/2 + (39*uZeta[4]*w[{0, 0, 2}])/4 - uZeta[2]*w[{0, 0, 2}]^2 + (2*uZeta[2]*w[{0, 0, 4}])/3 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (101*w[{0, 0, 6}])/24 + 18*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}] - 26*uZeta[4]*w[{0, 0, 0, 0, 2}] - uZeta[2]*w[{0, 0, 0, 0, 4}] - (179*w[{0, 0, 0, 0, 6}])/4 + w[{0, 0, 0, 1, 5}] + 6*uZeta[2]*w[{0, 0, 0, 2, 2}] + (17*w[{0, 0, 0, 2, 4}])/2 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 1, 1, 4, 0}] -> (115*uZeta[6])/48 + (uZeta[3]*w[{0, 3}])/4 - (7*w[{0, 3}]^2)/12 + (w[{0, 1}]*w[{0, 5}])/2 + (9*uZeta[4]*w[{0, 0, 2}])/4 + (5*uZeta[2]*w[{0, 0, 4}])/2 + (19*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (77*w[{0, 0, 6}])/24 - 3*w[{0, 5}]*w[{0, 0, 0, 1}] + (11*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 12*uZeta[4]*w[{0, 0, 0, 0, 2}] - (83*w[{0, 0, 0, 0, 6}])/4 - 2*w[{0, 0, 0, 1, 5}] + (5*w[{0, 0, 0, 2, 4}])/2 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 1, 2, 0, 3}] -> -uZeta[6]/6 - (uZeta[3]*w[{0, 3}])/4 + w[{0, 3}]^2/2 + (uZeta[4]*w[{0, 0, 2}])/4 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - w[{0, 0, 6}]/4 - (9*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 21*uZeta[4]*w[{0, 0, 0, 0, 2}] - 5*w[{0, 0, 0, 0, 6}] + 5*w[{0, 0, 0, 1, 5}] - 3*w[{0, 0, 0, 2, 4}] + (3*w[{0, 0, 2, 2, 2}])/2,
 w[{0, 1, 2, 1, 2}] -> (-23*uZeta[6])/16 - (uZeta[3]*w[{0, 3}])/4 + (5*w[{0, 3}]^2)/6 - (13*uZeta[4]*w[{0, 0, 2}])/4 + (5*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (59*w[{0, 0, 6}])/24 - (23*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 24*uZeta[4]*w[{0, 0, 0, 0, 2}] + (71*w[{0, 0, 0, 0, 6}])/4 + 8*w[{0, 0, 0, 1, 5}] - (23*w[{0, 0, 0, 2, 4}])/2 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 1, 2, 2, 1}] -> (-2669*uZeta[6])/1440 - 5*uZeta[4]*w[{0, 1}]^2 - (uZeta[3]*w[{0, 3}])/4 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/12 + (w[{0, 1}]*w[{0, 5}])/3 - (61*uZeta[4]*w[{0, 0, 2}])/12 - w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] - 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 + 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 6*w[{0, 1}]*w[{0, 0, 0, 5}] + 4*w[{0, 1}]*w[{0, 0, 2, 3}] + 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, 2, 3, 0}] -> (-67*uZeta[6])/72 + (uZeta[3]*w[{0, 3}])/4 - (2*w[{0, 3}]^2)/3 - (w[{0, 1}]*w[{0, 5}])/2 - (7*uZeta[4]*w[{0, 0, 2}])/2 + uZeta[2]*w[{0, 0, 4}] + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (4*w[{0, 0, 6}])/3 + 3*w[{0, 5}]*w[{0, 0, 0, 1}] + (7*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 24*uZeta[4]*w[{0, 0, 0, 0, 2}] - (25*w[{0, 0, 0, 0, 6}])/2 + 4*w[{0, 0, 0, 1, 5}] - 3*w[{0, 0, 0, 2, 4}] - w[{0, 0, 2, 2, 2}],
 w[{0, 1, 3, 0, 2}] -> (-187*uZeta[6])/144 + (uZeta[3]*w[{0, 3}])/4 + w[{0, 3}]^2 - (5*uZeta[4]*w[{0, 0, 2}])/2 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (53*w[{0, 0, 6}])/24 - (21*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 9*uZeta[4]*w[{0, 0, 0, 0, 2}] + (89*w[{0, 0, 0, 0, 6}])/4 - (9*w[{0, 0, 0, 2, 4}])/2 + w[{0, 0, 2, 2, 2}],
 w[{0, 1, 3, 1, 1}] -> (-2237*uZeta[6])/288 - (uZeta[2]*uZeta[3]*w[{0, 1}])/2 - (19*uZeta[4]*w[{0, 1}]^2)/4 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 + (4*w[{0, 3}]^2)/3 + (5*w[{0, 1}]*w[{0, 5}])/6 - (67*uZeta[4]*w[{0, 0, 2}])/4 - 5*uZeta[2]*w[{0, 0, 2}]^2 - (85*uZeta[2]*w[{0, 0, 4}])/24 + (3*w[{0, 1}]^2*w[{0, 0, 4}])/4 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (10*w[{0, 0, 6}])/3 + 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 3*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - 16*w[{0, 3}]*w[{0, 0, 0, 3}] - 10*w[{0, 1}]*w[{0, 0, 0, 5}] + 5*w[{0, 1}]*w[{0, 0, 2, 3}] + 38*uZeta[4]*w[{0, 0, 0, 0, 2}] + 25*uZeta[2]*w[{0, 0, 0, 0, 4}] + 39*w[{0, 0, 0, 0, 6}] - 2*w[{0, 0, 0, 1, 5}] - 7*w[{0, 0, 0, 2, 4}],
 w[{0, 1, 3, 2, 0}] -> (-26*uZeta[6])/3 + w[{0, 3}]^2/2 + (w[{0, 1}]*w[{0, 5}])/2 - 15*uZeta[4]*w[{0, 0, 2}] - (5*uZeta[2]*w[{0, 0, 4}])/2 - 6*w[{0, 0, 2}]*w[{0, 0, 4}] - (7*w[{0, 0, 6}])/2 - 3*w[{0, 5}]*w[{0, 0, 0, 1}] - 6*w[{0, 3}]*w[{0, 0, 0, 3}] + 48*uZeta[4]*w[{0, 0, 0, 0, 2}] - 9*w[{0, 0, 0, 0, 6}] + 24*w[{0, 0, 0, 1, 5}] - 15*w[{0, 0, 0, 2, 4}] - 2*w[{0, 0, 2, 2, 2}],
 w[{0, 1, 4, 0, 1}] -> (-1409*uZeta[6])/480 + uZeta[4]*w[{0, 1}]^2 + (uZeta[3]*w[{0, 3}])/4 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + (3*w[{0, 3}]^2)/4 + w[{0, 1}]*w[{0, 5}] - (31*uZeta[4]*w[{0, 0, 2}])/6 + 2*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}])/6 - (23*w[{0, 0, 6}])/12 - 6*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 4*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - w[{0, 5}]*w[{0, 0, 0, 1}] - (19*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 5*w[{0, 1}]*w[{0, 0, 0, 5}] - w[{0, 1}]*w[{0, 0, 2, 3}] + 17*uZeta[4]*w[{0, 0, 0, 0, 2}] + 18*uZeta[2]*w[{0, 0, 0, 0, 4}] + (61*w[{0, 0, 0, 0, 6}])/2 - 6*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, 4, 1, 0}] -> (-145*uZeta[6])/24 - (uZeta[3]*w[{0, 3}])/2 + (2*w[{0, 3}]^2)/3 - w[{0, 1}]*w[{0, 5}] - 7*uZeta[4]*w[{0, 0, 2}] - 5*uZeta[2]*w[{0, 0, 4}] - 10*w[{0, 0, 2}]*w[{0, 0, 4}] - (29*w[{0, 0, 6}])/6 + 6*w[{0, 5}]*w[{0, 0, 0, 1}] - 5*w[{0, 3}]*w[{0, 0, 0, 3}] + 20*w[{0, 0, 0, 0, 6}] + 8*w[{0, 0, 0, 1, 5}] - 4*w[{0, 0, 0, 2, 4}],
 w[{0, 2, 0, 0, 4}] -> (-5*uZeta[6])/36 + w[{0, 3}]^2/6 - uZeta[2]*w[{0, 0, 4}] - 2*w[{0, 0, 2}]*w[{0, 0, 4}] - w[{0, 0, 6}]/3 - 2*w[{0, 3}]*w[{0, 0, 0, 3}] + 10*w[{0, 0, 0, 0, 6}] - 4*w[{0, 0, 0, 1, 5}] + w[{0, 0, 0, 2, 4}],
 w[{0, 2, 0, 1, 3}] -> (11*uZeta[6])/36 + (5*w[{0, 3}]^2)/12 + (7*uZeta[4]*w[{0, 0, 2}])/4 - (3*uZeta[2]*w[{0, 0, 4}])/2 - (15*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (13*w[{0, 0, 6}])/12 - 5*w[{0, 3}]*w[{0, 0, 0, 3}] - 3*uZeta[4]*w[{0, 0, 0, 0, 2}] + 19*w[{0, 0, 0, 0, 6}] - 5*w[{0, 0, 0, 1, 5}] - (3*w[{0, 0, 2, 2, 2}])/2,
 w[{0, 2, 0, 2, 2}] -> (-31*uZeta[6])/18 - (5*uZeta[4]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 4}])/2 + (w[{0, 0, 2}]*w[{0, 0, 4}])/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}] - 3*w[{0, 0, 2, 2, 2}],
 w[{0, 2, 0, 3, 1}] -> (369*uZeta[6])/80 - (uZeta[3]*w[{0, 3}])/4 - (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - (5*w[{0, 3}]^2)/6 - (w[{0, 1}]*w[{0, 5}])/6 + (59*uZeta[4]*w[{0, 0, 2}])/6 - 2*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] + 2*uZeta[2]*w[{0, 0, 2}]^2 + (3*uZeta[2]*w[{0, 0, 4}])/2 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (15*w[{0, 0, 6}])/8 + 4*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (21*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}] + 3*uZeta[4]*w[{0, 0, 0, 0, 2}] - 4*uZeta[2]*w[{0, 0, 0, 0, 4}] - (149*w[{0, 0, 0, 0, 6}])/4 + 10*w[{0, 0, 0, 1, 5}] + 4*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2 - w[{0, 0, 2, 2, 2}],
 w[{0, 2, 0, 4, 0}] -> (253*uZeta[6])/72 - w[{0, 3}]^2/3 + 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}])/2 + 4*w[{0, 3}]*w[{0, 0, 0, 3}] - 8*w[{0, 0, 0, 1, 5}] + 6*w[{0, 0, 0, 2, 4}],
 w[{0, 2, 1, 0, 3}] -> (197*uZeta[6])/144 + (uZeta[3]*w[{0, 3}])/4 + (7*uZeta[4]*w[{0, 0, 2}])/2 + uZeta[2]*w[{0, 0, 4}] + (5*w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (5*w[{0, 0, 6}])/8 - (3*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 39*uZeta[4]*w[{0, 0, 0, 0, 2}] + (47*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}],
 w[{0, 2, 1, 1, 2}] -> (101*uZeta[6])/36 + (11*uZeta[4]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 0, 4}])/2 + (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, 1}] -> (367*uZeta[6])/48 + 5*uZeta[4]*w[{0, 1}]^2 + (uZeta[3]*w[{0, 3}])/2 + 2*uZeta[2]*w[{0, 1}]*w[{0, 3}] - (11*w[{0, 3}]^2)/12 - (2*w[{0, 1}]*w[{0, 5}])/3 + 20*uZeta[4]*w[{0, 0, 2}] + 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] - (3*uZeta[2]*w[{0, 0, 2}]^2)/2 - uZeta[2]*w[{0, 0, 4}] - (5*w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (37*w[{0, 0, 6}])/24 - 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + 11*w[{0, 3}]*w[{0, 0, 0, 3}] + 13*w[{0, 1}]*w[{0, 0, 0, 5}] - 9*w[{0, 1}]*w[{0, 0, 2, 3}] - 18*uZeta[4]*w[{0, 0, 0, 0, 2}] + (15*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (85*w[{0, 0, 0, 0, 6}])/4 + 2*w[{0, 0, 0, 1, 5}] + 15*uZeta[2]*w[{0, 0, 0, 2, 2}] + (7*w[{0, 0, 0, 2, 4}])/2 - w[{0, 0, 2, 2, 2}],
 w[{0, 2, 1, 3, 0}] -> (403*uZeta[6])/48 - (uZeta[3]*w[{0, 3}])/4 - w[{0, 3}]^2/3 + (59*uZeta[4]*w[{0, 0, 2}])/4 + (uZeta[2]*w[{0, 0, 4}])/2 + (5*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (73*w[{0, 0, 6}])/24 + (17*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 12*uZeta[4]*w[{0, 0, 0, 0, 2}] + (59*w[{0, 0, 0, 0, 6}])/4 - 31*w[{0, 0, 0, 1, 5}] + (45*w[{0, 0, 0, 2, 4}])/2 + w[{0, 0, 2, 2, 2}]/2,
 w[{0, 2, 2, 0, 2}] -> (61*uZeta[6])/24 + (15*uZeta[4]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 0, 4}] - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/2 - 72*uZeta[4]*w[{0, 0, 0, 0, 2}] + 9*w[{0, 0, 0, 0, 6}] - 6*w[{0, 0, 0, 1, 5}] + 3*w[{0, 0, 0, 2, 4}] + 3*w[{0, 0, 2, 2, 2}],
 w[{0, 2, 2, 1, 1}] -> (-641*uZeta[6])/1440 - (uZeta[2]*uZeta[3]*w[{0, 1}])/2 - (71*uZeta[4]*w[{0, 1}]^2)/12 - (uZeta[3]*w[{0, 3}])/4 - (11*uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + w[{0, 3}]^2/2 + (w[{0, 1}]*w[{0, 5}])/3 - (47*uZeta[4]*w[{0, 0, 2}])/12 - 2*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] - (9*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 + (5*w[{0, 0, 2}]*w[{0, 0, 4}])/4 - (7*w[{0, 0, 6}])/8 + 40*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}] - (11*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 7*w[{0, 1}]*w[{0, 0, 0, 5}] + 5*w[{0, 1}]*w[{0, 0, 2, 3}] - 32*uZeta[4]*w[{0, 0, 0, 0, 2}] + (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (53*w[{0, 0, 0, 0, 6}])/4 - 2*w[{0, 0, 0, 1, 5}] + 3*uZeta[2]*w[{0, 0, 0, 2, 2}] - (3*w[{0, 0, 0, 2, 4}])/2 + w[{0, 0, 2, 2, 2}],
 w[{0, 2, 2, 2, 0}] -> (-143*uZeta[6])/72 - 5*uZeta[4]*w[{0, 0, 2}] + uZeta[2]*w[{0, 0, 4}] + w[{0, 0, 2}]*w[{0, 0, 4}] + 48*uZeta[4]*w[{0, 0, 0, 0, 2}] - 6*w[{0, 0, 0, 0, 6}] + 4*w[{0, 0, 0, 1, 5}] - 2*w[{0, 0, 0, 2, 4}] - 2*w[{0, 0, 2, 2, 2}],
 w[{0, 2, 3, 0, 1}] -> (-257*uZeta[6])/120 + (uZeta[3]*w[{0, 3}])/4 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + (2*w[{0, 3}]^2)/3 + (w[{0, 1}]*w[{0, 5}])/2 - (9*uZeta[4]*w[{0, 0, 2}])/2 + 2*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] - 3*uZeta[2]*w[{0, 0, 2}]^2 - uZeta[2]*w[{0, 0, 4}] + (5*w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (31*w[{0, 0, 6}])/24 - 4*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + w[{0, 5}]*w[{0, 0, 0, 1}] - (17*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 3*w[{0, 1}]*w[{0, 0, 0, 5}] - 13*uZeta[4]*w[{0, 0, 0, 0, 2}] + 13*uZeta[2]*w[{0, 0, 0, 0, 4}] + (91*w[{0, 0, 0, 0, 6}])/4 - 4*w[{0, 0, 0, 1, 5}] + 2*uZeta[2]*w[{0, 0, 0, 2, 2}] - (5*w[{0, 0, 0, 2, 4}])/2 + w[{0, 0, 2, 2, 2}],
 w[{0, 3, 0, 0, 3}] -> (7*uZeta[6])/6 - w[{0, 3}]^2/2 + 3*uZeta[4]*w[{0, 0, 2}] - w[{0, 0, 6}]/4 + 3*w[{0, 3}]*w[{0, 0, 0, 3}] - 18*uZeta[4]*w[{0, 0, 0, 0, 2}] + (3*w[{0, 0, 0, 0, 6}])/2,
 w[{0, 3, 0, 1, 2}] -> (103*uZeta[6])/48 - w[{0, 3}]^2/12 + (11*uZeta[4]*w[{0, 0, 2}])/2 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/2 + (7*w[{0, 0, 6}])/8 + 4*w[{0, 3}]*w[{0, 0, 0, 3}] - 33*uZeta[4]*w[{0, 0, 0, 0, 2}] - (73*w[{0, 0, 0, 0, 6}])/4 + 4*w[{0, 0, 0, 1, 5}] + (3*w[{0, 0, 0, 2, 4}])/2 - w[{0, 0, 2, 2, 2}],
 w[{0, 3, 0, 2, 1}] -> (743*uZeta[6])/240 - (5*w[{0, 3}]^2)/12 - (w[{0, 1}]*w[{0, 5}])/2 + (23*uZeta[4]*w[{0, 0, 2}])/4 - uZeta[2]*w[{0, 0, 2}]^2 + (2*uZeta[2]*w[{0, 0, 4}])/3 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + 2*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}] + uZeta[4]*w[{0, 0, 0, 0, 2}] - uZeta[2]*w[{0, 0, 0, 0, 4}] + (11*w[{0, 0, 0, 0, 6}])/2 - 3*w[{0, 0, 0, 1, 5}] + 6*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}] - (3*w[{0, 0, 2, 2, 2}])/2,
 w[{0, 3, 0, 3, 0}] -> (7*uZeta[6])/2 + 6*uZeta[4]*w[{0, 0, 2}] + w[{0, 0, 6}]/2 + 32*w[{0, 0, 0, 0, 6}] - 24*w[{0, 0, 0, 1, 5}] + 12*w[{0, 0, 0, 2, 4}],
 w[{0, 3, 1, 0, 2}] -> (29*uZeta[6])/6 - (uZeta[3]*w[{0, 3}])/4 - w[{0, 3}]^2/2 + (45*uZeta[4]*w[{0, 0, 2}])/4 + (7*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (4*w[{0, 0, 6}])/3 + (9*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 69*uZeta[4]*w[{0, 0, 0, 0, 2}] - (31*w[{0, 0, 0, 0, 6}])/2 + 3*w[{0, 0, 0, 1, 5}] + (3*w[{0, 0, 2, 2, 2}])/2,
 w[{0, 3, 1, 1, 1}] -> (9437*uZeta[6])/1440 - (11*uZeta[4]*w[{0, 1}]^2)/12 + (uZeta[3]*w[{0, 3}])/12 - (19*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 + (w[{0, 1}]^3*w[{0, 3}])/6 - (5*w[{0, 3}]^2)/36 - (w[{0, 1}]*w[{0, 5}])/6 + 14*uZeta[4]*w[{0, 0, 2}] - uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] + (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + 2*uZeta[2]*w[{0, 0, 2}]^2 + (79*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}]/3 + 4*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + 8*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (11*w[{0, 3}]*w[{0, 0, 0, 3}])/6 + 3*w[{0, 1}]*w[{0, 0, 0, 5}] - 2*w[{0, 1}]*w[{0, 0, 2, 3}] - 50*uZeta[4]*w[{0, 0, 0, 0, 2}] - 19*uZeta[2]*w[{0, 0, 0, 0, 4}] - 4*w[{0, 0, 0, 0, 6}] + 4*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}],
 w[{0, 3, 2, 0, 1}] -> (2407*uZeta[6])/720 - (uZeta[3]*w[{0, 3}])/4 - (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/6 - (w[{0, 1}]*w[{0, 5}])/2 + (33*uZeta[4]*w[{0, 0, 2}])/4 - 2*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 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}])/4 + (5*w[{0, 0, 6}])/12 + 4*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}])/2 + 3*w[{0, 1}]*w[{0, 0, 0, 5}] - 47*uZeta[4]*w[{0, 0, 0, 0, 2}] - 13*uZeta[2]*w[{0, 0, 0, 0, 4}] - 16*w[{0, 0, 0, 0, 6}] + 7*w[{0, 0, 0, 1, 5}] - 2*uZeta[2]*w[{0, 0, 0, 2, 2}] - 2*w[{0, 0, 0, 2, 4}] + (3*w[{0, 0, 2, 2, 2}])/2,
 w[{0, 4, 0, 0, 2}] -> (73*uZeta[6])/72 - w[{0, 3}]^2/6 + 2*uZeta[4]*w[{0, 0, 2}] - w[{0, 0, 2}]*w[{0, 0, 4}] + (5*w[{0, 0, 6}])/6 + 2*w[{0, 3}]*w[{0, 0, 0, 3}] - 18*uZeta[4]*w[{0, 0, 0, 0, 2}] - 13*w[{0, 0, 0, 0, 6}] + 4*w[{0, 0, 0, 1, 5}] - w[{0, 0, 0, 2, 4}],
 w[{0, 4, 0, 1, 1}] -> (607*uZeta[6])/288 - (uZeta[4]*w[{0, 1}]^2)/6 - (2*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/12 + (17*uZeta[4]*w[{0, 0, 2}])/4 + (4*uZeta[2]*w[{0, 0, 4}])/3 - w[{0, 1}]^2*w[{0, 0, 4}] - (5*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + w[{0, 0, 6}]/24 - 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 4*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}] - 13*uZeta[4]*w[{0, 0, 0, 0, 2}] - 12*uZeta[2]*w[{0, 0, 0, 0, 4}] - (5*w[{0, 0, 0, 0, 6}])/4 + 2*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2 - w[{0, 0, 2, 2, 2}]/2,
 w[{0, 4, 1, 0, 1}] -> (2009*uZeta[6])/480 - uZeta[4]*w[{0, 1}]^2 - (uZeta[3]*w[{0, 3}])/4 - (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/4 - w[{0, 1}]*w[{0, 5}] + (23*uZeta[4]*w[{0, 0, 2}])/3 - 2*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}])/6 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + w[{0, 0, 6}]/3 + 6*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 4*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + w[{0, 5}]*w[{0, 0, 0, 1}] + (7*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 5*w[{0, 1}]*w[{0, 0, 0, 5}] + w[{0, 1}]*w[{0, 0, 2, 3}] - 41*uZeta[4]*w[{0, 0, 0, 0, 2}] - 18*uZeta[2]*w[{0, 0, 0, 0, 4}] - 9*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}] + w[{0, 0, 2, 2, 2}],
 w[{0, 5, 0, 0, 1}] -> (34*uZeta[6])/45 - w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/2 + uZeta[4]*w[{0, 0, 2}] + uZeta[2]*w[{0, 0, 4}] - w[{0, 0, 6}]/12 + w[{0, 3}]*w[{0, 0, 0, 3}] + 3*w[{0, 1}]*w[{0, 0, 0, 5}] - 6*uZeta[4]*w[{0, 0, 0, 0, 2}] - 6*uZeta[2]*w[{0, 0, 0, 0, 4}] - 2*w[{0, 0, 0, 0, 6}] + w[{0, 0, 0, 1, 5}],
 w[{1, 0, 0, 0, 5}] -> (-7*uZeta[6])/30 + (w[{0, 1}]*w[{0, 5}])/6 - (uZeta[4]*w[{0, 0, 2}])/3 - (uZeta[2]*w[{0, 0, 4}])/3 + w[{0, 0, 6}]/6 - w[{0, 5}]*w[{0, 0, 0, 1}] - w[{0, 1}]*w[{0, 0, 0, 5}] + 2*uZeta[4]*w[{0, 0, 0, 0, 2}] + 2*uZeta[2]*w[{0, 0, 0, 0, 4}] - w[{0, 0, 0, 0, 6}],
 w[{1, 0, 0, 1, 4}] -> (-71*uZeta[6])/144 + uZeta[4]*w[{0, 1}]^2 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/12 + (w[{0, 1}]*w[{0, 5}])/3 - (5*uZeta[4]*w[{0, 0, 2}])/6 + w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] - (uZeta[2]*w[{0, 0, 2}]^2)/2 - uZeta[2]*w[{0, 0, 4}] + w[{0, 0, 6}]/4 - 6*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}] - w[{0, 1}]*w[{0, 0, 0, 5}] - w[{0, 1}]*w[{0, 0, 2, 3}] + 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[{1, 0, 0, 2, 3}] -> (2669*uZeta[6])/1440 + w[{0, 3}]^2/12 + (w[{0, 1}]*w[{0, 5}])/6 + (14*uZeta[4]*w[{0, 0, 2}])/3 - (uZeta[2]*w[{0, 0, 2}]^2)/2 - (uZeta[2]*w[{0, 0, 4}])/2 + w[{0, 0, 6}]/12 - w[{0, 5}]*w[{0, 0, 0, 1}] - w[{0, 3}]*w[{0, 0, 0, 3}] - w[{0, 1}]*w[{0, 0, 2, 3}] - 20*uZeta[4]*w[{0, 0, 0, 0, 2}] + (9*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - w[{0, 0, 0, 0, 6}] + w[{0, 0, 0, 1, 5}] + 3*uZeta[2]*w[{0, 0, 0, 2, 2}] - w[{0, 0, 0, 2, 4}],
 w[{1, 0, 0, 3, 2}] -> (3083*uZeta[6])/720 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/2 + 10*uZeta[4]*w[{0, 0, 2}] - w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 0, 2}]^2 + (4*uZeta[2]*w[{0, 0, 4}])/3 - w[{0, 0, 6}]/6 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + w[{0, 5}]*w[{0, 0, 0, 1}] + 4*w[{0, 1}]*w[{0, 0, 0, 5}] - w[{0, 1}]*w[{0, 0, 2, 3}] - 44*uZeta[4]*w[{0, 0, 0, 0, 2}] - 7*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[{1, 0, 0, 4, 1}] -> (929*uZeta[6])/288 - (2*uZeta[4]*w[{0, 1}]^2)/3 - uZeta[2]*w[{0, 1}]*w[{0, 3}] + w[{0, 3}]^2/4 - (w[{0, 1}]*w[{0, 5}])/3 + (19*uZeta[4]*w[{0, 0, 2}])/3 - w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 0, 2}]^2)/2 + (7*uZeta[2]*w[{0, 0, 4}])/3 - w[{0, 1}]^2*w[{0, 0, 4}] - w[{0, 0, 2}]*w[{0, 0, 4}] - w[{0, 0, 6}] + 4*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}] + 4*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}] - 30*uZeta[4]*w[{0, 0, 0, 0, 2}] - (37*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (17*w[{0, 0, 0, 0, 6}])/2 - w[{0, 0, 0, 1, 5}] + uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{1, 0, 1, 0, 4}] -> (-329*uZeta[6])/480 - uZeta[4]*w[{0, 1}]^2 + (w[{0, 1}]*w[{0, 5}])/3 - (5*uZeta[4]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 0, 2}]^2 - (5*uZeta[2]*w[{0, 0, 4}])/6 + w[{0, 0, 6}]/4 + 6*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 3*w[{0, 1}]*w[{0, 0, 0, 5}] + w[{0, 1}]*w[{0, 0, 2, 3}] + 7*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[{1, 0, 1, 1, 3}] -> (-529*uZeta[6])/120 + (w[{0, 1}]*w[{0, 5}])/2 - (39*uZeta[4]*w[{0, 0, 2}])/4 + uZeta[2]*w[{0, 0, 2}]^2 - (2*uZeta[2]*w[{0, 0, 4}])/3 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (7*w[{0, 0, 6}])/24 - 5*w[{0, 1}]*w[{0, 0, 0, 5}] + 2*w[{0, 1}]*w[{0, 0, 2, 3}] + 44*uZeta[4]*w[{0, 0, 0, 0, 2}] + uZeta[2]*w[{0, 0, 0, 0, 4}] - w[{0, 0, 0, 0, 6}]/4 - w[{0, 0, 0, 1, 5}] - 6*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2 - w[{0, 0, 2, 2, 2}]/2,
 w[{1, 0, 1, 2, 2}] -> (-841*uZeta[6])/1440 + 5*uZeta[4]*w[{0, 1}]^2 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/3 + (29*uZeta[4]*w[{0, 0, 2}])/6 + w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] + 4*uZeta[2]*w[{0, 0, 2}]^2 + (7*uZeta[2]*w[{0, 0, 4}])/6 - w[{0, 0, 6}]/8 - 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + 6*w[{0, 1}]*w[{0, 0, 0, 5}] - 4*w[{0, 1}]*w[{0, 0, 2, 3}] - 14*uZeta[4]*w[{0, 0, 0, 0, 2}] - 8*uZeta[2]*w[{0, 0, 0, 0, 4}] - (17*w[{0, 0, 0, 0, 6}])/4 + 4*w[{0, 0, 0, 1, 5}] - 2*uZeta[2]*w[{0, 0, 0, 2, 2}] - (5*w[{0, 0, 0, 2, 4}])/2,
 w[{1, 0, 1, 3, 1}] -> (3757*uZeta[6])/720 + uZeta[2]*uZeta[3]*w[{0, 1}] + (19*uZeta[4]*w[{0, 1}]^2)/2 - uZeta[2]*w[{0, 1}]*w[{0, 3}] + w[{0, 3}]^2/3 - (2*w[{0, 1}]*w[{0, 5}])/3 + 14*uZeta[4]*w[{0, 0, 2}] + 12*uZeta[2]*w[{0, 0, 2}]^2 + (23*uZeta[2]*w[{0, 0, 4}])/4 - (3*w[{0, 1}]^2*w[{0, 0, 4}])/2 - 2*w[{0, 0, 2}]*w[{0, 0, 4}] - (7*w[{0, 0, 6}])/4 - 60*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 6*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - 4*w[{0, 3}]*w[{0, 0, 0, 3}] + 10*w[{0, 1}]*w[{0, 0, 0, 5}] - 6*w[{0, 1}]*w[{0, 0, 2, 3}] - 24*uZeta[4]*w[{0, 0, 0, 0, 2}] - 48*uZeta[2]*w[{0, 0, 0, 0, 4}] + (23*w[{0, 0, 0, 0, 6}])/2 + 2*w[{0, 0, 0, 1, 5}] - 12*uZeta[2]*w[{0, 0, 0, 2, 2}] - 3*w[{0, 0, 0, 2, 4}] - w[{0, 0, 2, 2, 2}],
 w[{1, 0, 2, 0, 3}] -> (-2203*uZeta[6])/360 + (uZeta[3]*w[{0, 3}])/4 + (5*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/12 + (w[{0, 1}]*w[{0, 5}])/6 - (46*uZeta[4]*w[{0, 0, 2}])/3 + 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}] + w[{0, 0, 6}]/12 - 4*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}] + 60*uZeta[4]*w[{0, 0, 0, 0, 2}] + 4*uZeta[2]*w[{0, 0, 0, 0, 4}] + (23*w[{0, 0, 0, 0, 6}])/2 - 8*w[{0, 0, 0, 1, 5}] - 4*uZeta[2]*w[{0, 0, 0, 2, 2}] + 4*w[{0, 0, 0, 2, 4}],
 w[{1, 0, 2, 1, 2}] -> (-851*uZeta[6])/72 - 5*uZeta[4]*w[{0, 1}]^2 - (uZeta[3]*w[{0, 3}])/4 - 2*uZeta[2]*w[{0, 1}]*w[{0, 3}] + w[{0, 3}]^2/12 + (2*w[{0, 1}]*w[{0, 5}])/3 - (111*uZeta[4]*w[{0, 0, 2}])/4 - 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] + (3*uZeta[2]*w[{0, 0, 2}]^2)/2 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + w[{0, 0, 6}]/4 + 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 6*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 13*w[{0, 1}]*w[{0, 0, 0, 5}] + 9*w[{0, 1}]*w[{0, 0, 2, 3}] + 114*uZeta[4]*w[{0, 0, 0, 0, 2}] - (15*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 + (23*w[{0, 0, 0, 0, 6}])/2 - 10*w[{0, 0, 0, 1, 5}] - 15*uZeta[2]*w[{0, 0, 0, 2, 2}] + 6*w[{0, 0, 0, 2, 4}] + w[{0, 0, 2, 2, 2}]/2,
 w[{1, 0, 2, 2, 1}] -> (-2353*uZeta[6])/480 + uZeta[2]*uZeta[3]*w[{0, 1}] + (71*uZeta[4]*w[{0, 1}]^2)/6 + (uZeta[3]*w[{0, 3}])/4 + 2*uZeta[2]*w[{0, 1}]*w[{0, 3}] - (w[{0, 1}]*w[{0, 5}])/3 - (85*uZeta[4]*w[{0, 0, 2}])/12 + 2*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] + (29*uZeta[2]*w[{0, 0, 2}]^2)/2 + (31*uZeta[2]*w[{0, 0, 4}])/12 + (w[{0, 1}]^2*w[{0, 0, 4}])/2 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - w[{0, 0, 6}]/8 - 80*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 4*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 + 7*w[{0, 1}]*w[{0, 0, 0, 5}] - 5*w[{0, 1}]*w[{0, 0, 2, 3}] + 80*uZeta[4]*w[{0, 0, 0, 0, 2}] - (49*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (29*w[{0, 0, 0, 0, 6}])/4 + 6*w[{0, 0, 0, 1, 5}] - 23*uZeta[2]*w[{0, 0, 0, 2, 2}] - (7*w[{0, 0, 0, 2, 4}])/2 - (3*w[{0, 0, 2, 2, 2}])/2,
 w[{1, 0, 3, 0, 2}] -> (-6319*uZeta[6])/720 + (w[{0, 1}]*w[{0, 5}])/2 - 20*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}] - 5*w[{0, 1}]*w[{0, 0, 0, 5}] + 2*w[{0, 1}]*w[{0, 0, 2, 3}] + 92*uZeta[4]*w[{0, 0, 0, 0, 2}] + uZeta[2]*w[{0, 0, 0, 0, 4}] + 6*w[{0, 0, 0, 0, 6}] - 4*w[{0, 0, 0, 1, 5}] - 6*uZeta[2]*w[{0, 0, 0, 2, 2}] + 2*w[{0, 0, 0, 2, 4}],
 w[{1, 0, 3, 1, 1}] -> (-8563*uZeta[6])/720 + (uZeta[2]*uZeta[3]*w[{0, 1}])/2 + (15*uZeta[4]*w[{0, 1}]^2)/2 - (uZeta[3]*w[{0, 3}])/4 + (17*uZeta[2]*w[{0, 1}]*w[{0, 3}])/4 - (w[{0, 1}]^3*w[{0, 3}])/2 - (11*w[{0, 3}]^2)/12 - (w[{0, 1}]*w[{0, 5}])/3 - (101*uZeta[4]*w[{0, 0, 2}])/4 + 3*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] - (3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 0, 2}]^2 - (19*uZeta[2]*w[{0, 0, 4}])/3 + (7*w[{0, 0, 6}])/3 - 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 12*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - 21*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (21*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + w[{0, 1}]*w[{0, 0, 0, 5}] + w[{0, 1}]*w[{0, 0, 2, 3}] + 112*uZeta[4]*w[{0, 0, 0, 0, 2}] + 32*uZeta[2]*w[{0, 0, 0, 0, 4}] - 27*w[{0, 0, 0, 0, 6}] + 2*w[{0, 0, 0, 1, 5}] - 12*uZeta[2]*w[{0, 0, 0, 2, 2}] + 4*w[{0, 0, 0, 2, 4}],
 w[{1, 0, 4, 0, 1}] -> (-787*uZeta[6])/144 + (uZeta[4]*w[{0, 1}]^2)/3 + (4*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/3 - 11*uZeta[4]*w[{0, 0, 2}] - (8*uZeta[2]*w[{0, 0, 4}])/3 + 2*w[{0, 1}]^2*w[{0, 0, 4}] + 2*w[{0, 0, 2}]*w[{0, 0, 4}] + (3*w[{0, 0, 6}])/2 + 4*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 8*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + 4*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}] + 50*uZeta[4]*w[{0, 0, 0, 0, 2}] + 24*uZeta[2]*w[{0, 0, 0, 0, 4}] - 19*w[{0, 0, 0, 0, 6}] + 4*w[{0, 0, 0, 1, 5}] - 4*uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{1, 1, 0, 0, 4}] -> (-737*uZeta[6])/720 + (uZeta[4]*w[{0, 1}]^2)/3 + (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}])/2 + (uZeta[2]*w[{0, 0, 2}]^2)/2 - (uZeta[2]*w[{0, 0, 4}])/4 + (w[{0, 1}]^2*w[{0, 0, 4}])/2 + (w[{0, 0, 2}]*w[{0, 0, 4}])/2 + 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}] + w[{0, 3}]*w[{0, 0, 0, 3}] + w[{0, 1}]*w[{0, 0, 0, 5}] + 9*uZeta[4]*w[{0, 0, 0, 0, 2}] + (7*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - 4*w[{0, 0, 0, 0, 6}] + w[{0, 0, 0, 1, 5}] - uZeta[2]*w[{0, 0, 0, 2, 2}],
 w[{1, 1, 0, 1, 3}] -> (2591*uZeta[6])/1440 - (uZeta[2]*uZeta[3]*w[{0, 1}])/2 - (19*uZeta[4]*w[{0, 1}]^2)/4 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/2 - w[{0, 3}]^2/6 - (w[{0, 1}]*w[{0, 5}])/6 + (11*uZeta[4]*w[{0, 0, 2}])/4 - 7*uZeta[2]*w[{0, 0, 2}]^2 - (53*uZeta[2]*w[{0, 0, 4}])/24 + (3*w[{0, 1}]^2*w[{0, 0, 4}])/4 + (5*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (7*w[{0, 0, 6}])/12 + 30*uZeta[4]*w[{0, 1}]*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}] + w[{0, 1}]*w[{0, 0, 2, 3}] - 32*uZeta[4]*w[{0, 0, 0, 0, 2}] + 23*uZeta[2]*w[{0, 0, 0, 0, 4}] - (11*w[{0, 0, 0, 0, 6}])/2 + 12*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}] + w[{0, 0, 2, 2, 2}],
 w[{1, 1, 0, 2, 2}] -> (623*uZeta[6])/72 - (uZeta[2]*uZeta[3]*w[{0, 1}])/2 - (71*uZeta[4]*w[{0, 1}]^2)/12 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + 15*uZeta[4]*w[{0, 0, 2}] - 10*uZeta[2]*w[{0, 0, 2}]^2 - (15*uZeta[2]*w[{0, 0, 4}])/8 - (w[{0, 1}]^2*w[{0, 0, 4}])/4 + 40*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - 90*uZeta[4]*w[{0, 0, 0, 0, 2}] + 20*uZeta[2]*w[{0, 0, 0, 0, 4}] + 20*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 2, 2, 2}]/2,
 w[{1, 1, 0, 3, 1}] -> (13369*uZeta[6])/1440 - uZeta[2]*uZeta[3]*w[{0, 1}] - (49*uZeta[4]*w[{0, 1}]^2)/4 + (uZeta[3]*w[{0, 3}])/4 - (15*uZeta[2]*w[{0, 1}]*w[{0, 3}])/4 + (w[{0, 1}]^3*w[{0, 3}])/2 + (3*w[{0, 3}]^2)/4 + (2*w[{0, 1}]*w[{0, 5}])/3 + (73*uZeta[4]*w[{0, 0, 2}])/4 - 3*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] + (3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 - 5*uZeta[2]*w[{0, 0, 2}]^2 + (83*uZeta[2]*w[{0, 0, 4}])/24 + (3*w[{0, 1}]^2*w[{0, 0, 4}])/4 + w[{0, 0, 2}]*w[{0, 0, 4}] - (35*w[{0, 0, 6}])/24 + 60*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 12*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + 18*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] - (17*w[{0, 3}]*w[{0, 0, 0, 3}])/2 - 6*w[{0, 1}]*w[{0, 0, 0, 5}] + 2*w[{0, 1}]*w[{0, 0, 2, 3}] - 100*uZeta[4]*w[{0, 0, 0, 0, 2}] - 8*uZeta[2]*w[{0, 0, 0, 0, 4}] + (85*w[{0, 0, 0, 0, 6}])/4 - 3*w[{0, 0, 0, 1, 5}] + 18*uZeta[2]*w[{0, 0, 0, 2, 2}] - (5*w[{0, 0, 0, 2, 4}])/2 + w[{0, 0, 2, 2, 2}]/2,
 w[{1, 1, 1, 0, 3}] -> (-133*uZeta[6])/36 + (uZeta[2]*uZeta[3]*w[{0, 1}])/2 + (17*uZeta[4]*w[{0, 1}]^2)/3 - (uZeta[3]*w[{0, 3}])/12 + (13*uZeta[2]*w[{0, 1}]*w[{0, 3}])/12 - (w[{0, 1}]^3*w[{0, 3}])/6 - (7*w[{0, 3}]^2)/36 - (w[{0, 1}]*w[{0, 5}])/6 - 7*uZeta[4]*w[{0, 0, 2}] + uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] - (w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}])/2 + 4*uZeta[2]*w[{0, 0, 2}]^2 - (5*uZeta[2]*w[{0, 0, 4}])/12 - (w[{0, 1}]^2*w[{0, 0, 4}])/2 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (7*w[{0, 0, 6}])/24 - 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 4*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - 5*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + (13*w[{0, 3}]*w[{0, 0, 0, 3}])/6 + 2*w[{0, 1}]*w[{0, 0, 0, 5}] - w[{0, 1}]*w[{0, 0, 2, 3}] + 44*uZeta[4]*w[{0, 0, 0, 0, 2}] - 5*uZeta[2]*w[{0, 0, 0, 0, 4}] - (21*w[{0, 0, 0, 0, 6}])/4 + w[{0, 0, 0, 1, 5}] - 10*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}]/2 - w[{0, 0, 2, 2, 2}]/2,
 w[{1, 1, 1, 1, 2}] -> (-1993*uZeta[6])/640 - (uZeta[2]*uZeta[3]*w[{0, 1}])/6 + (31*uZeta[4]*w[{0, 1}]^2)/8 - (uZeta[2]*w[{0, 1}]^4)/12 + (uZeta[3]*w[{0, 3}])/12 + (13*uZeta[2]*w[{0, 1}]*w[{0, 3}])/36 + (w[{0, 1}]^3*w[{0, 3}])/6 - (5*w[{0, 3}]^2)/36 - (w[{0, 1}]*w[{0, 5}])/6 - (119*uZeta[4]*w[{0, 0, 2}])/24 + (3*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}])/24 - (w[{0, 1}]^2*w[{0, 0, 4}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + w[{0, 0, 6}]/3 - 20*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 4*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (11*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/3 + (11*w[{0, 3}]*w[{0, 0, 0, 3}])/6 + 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}] - (3*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - 4*w[{0, 0, 0, 0, 6}] - 6*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}],
 w[{1, 1, 1, 2, 1}] -> (1993*uZeta[6])/160 + (2*uZeta[2]*uZeta[3]*w[{0, 1}])/3 - (31*uZeta[4]*w[{0, 1}]^2)/2 + (uZeta[2]*w[{0, 1}]^4)/3 - (uZeta[3]*w[{0, 3}])/3 - (13*uZeta[2]*w[{0, 1}]*w[{0, 3}])/9 - (2*w[{0, 1}]^3*w[{0, 3}])/3 + (5*w[{0, 3}]^2)/9 + (2*w[{0, 1}]*w[{0, 5}])/3 + (119*uZeta[4]*w[{0, 0, 2}])/6 - 6*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 + (11*uZeta[2]*w[{0, 0, 4}])/6 + w[{0, 1}]^2*w[{0, 0, 4}] + w[{0, 0, 2}]*w[{0, 0, 4}] - (4*w[{0, 0, 6}])/3 + 80*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 16*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (44*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}])/3 - (22*w[{0, 3}]*w[{0, 0, 0, 3}])/3 - 12*w[{0, 1}]*w[{0, 0, 0, 5}] + 8*w[{0, 1}]*w[{0, 0, 2, 3}] - 80*uZeta[4]*w[{0, 0, 0, 0, 2}] + 6*uZeta[2]*w[{0, 0, 0, 0, 4}] + 16*w[{0, 0, 0, 0, 6}] + 24*uZeta[2]*w[{0, 0, 0, 2, 2}] - 4*w[{0, 0, 0, 2, 4}],
 w[{1, 1, 2, 0, 2}] -> (-8249*uZeta[6])/720 + uZeta[2]*uZeta[3]*w[{0, 1}] + (28*uZeta[4]*w[{0, 1}]^2)/3 + (2*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/12 - (151*uZeta[4]*w[{0, 0, 2}])/6 + w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] + (21*uZeta[2]*w[{0, 0, 2}]^2)/2 + (17*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 - w[{0, 0, 6}]/8 - 50*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, 1}]*w[{0, 0, 0, 5}] - w[{0, 1}]*w[{0, 0, 2, 3}] + 142*uZeta[4]*w[{0, 0, 0, 0, 2}] - (33*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (5*w[{0, 0, 0, 0, 6}])/4 + 2*w[{0, 0, 0, 1, 5}] - 21*uZeta[2]*w[{0, 0, 0, 2, 2}] - (3*w[{0, 0, 0, 2, 4}])/2 - w[{0, 0, 2, 2, 2}],
 w[{1, 1, 2, 1, 1}] -> (-5979*uZeta[6])/320 - uZeta[2]*uZeta[3]*w[{0, 1}] + (93*uZeta[4]*w[{0, 1}]^2)/4 - (uZeta[2]*w[{0, 1}]^4)/2 + (uZeta[3]*w[{0, 3}])/2 + (13*uZeta[2]*w[{0, 1}]*w[{0, 3}])/6 + w[{0, 1}]^3*w[{0, 3}] - (5*w[{0, 3}]^2)/6 - w[{0, 1}]*w[{0, 5}] - (119*uZeta[4]*w[{0, 0, 2}])/4 + 9*uZeta[2]*w[{0, 1}]^2*w[{0, 0, 2}] + 3*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] + (9*uZeta[2]*w[{0, 0, 2}]^2)/2 - (11*uZeta[2]*w[{0, 0, 4}])/4 - (3*w[{0, 1}]^2*w[{0, 0, 4}])/2 - (3*w[{0, 0, 2}]*w[{0, 0, 4}])/2 + 2*w[{0, 0, 6}] - 120*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 24*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - 22*uZeta[2]*w[{0, 1}]*w[{0, 0, 0, 3}] + 11*w[{0, 3}]*w[{0, 0, 0, 3}] + 18*w[{0, 1}]*w[{0, 0, 0, 5}] - 12*w[{0, 1}]*w[{0, 0, 2, 3}] + 120*uZeta[4]*w[{0, 0, 0, 0, 2}] - 9*uZeta[2]*w[{0, 0, 0, 0, 4}] - 24*w[{0, 0, 0, 0, 6}] - 36*uZeta[2]*w[{0, 0, 0, 2, 2}] + 6*w[{0, 0, 0, 2, 4}],
 w[{1, 2, 0, 0, 3}] -> (2297*uZeta[6])/1440 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/4 + (w[{0, 1}]*w[{0, 5}])/6 + (14*uZeta[4]*w[{0, 0, 2}])/3 - w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] + (3*uZeta[2]*w[{0, 0, 2}]^2)/2 + (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, 3}]*w[{0, 0, 0, 3}] - w[{0, 1}]*w[{0, 0, 0, 5}] - 20*uZeta[4]*w[{0, 0, 0, 0, 2}] - (3*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - 6*w[{0, 0, 0, 0, 6}] + 3*w[{0, 0, 0, 1, 5}] - uZeta[2]*w[{0, 0, 0, 2, 2}] - w[{0, 0, 0, 2, 4}],
 w[{1, 2, 0, 1, 2}] -> (649*uZeta[6])/80 - 5*uZeta[4]*w[{0, 1}]^2 - (uZeta[3]*w[{0, 3}])/4 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/4 + (211*uZeta[4]*w[{0, 0, 2}])/12 + w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] - (19*uZeta[2]*w[{0, 0, 2}]^2)/2 - (7*uZeta[2]*w[{0, 0, 4}])/3 + (w[{0, 0, 2}]*w[{0, 0, 4}])/4 + (5*w[{0, 0, 6}])/12 + 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + w[{0, 1}]*w[{0, 0, 0, 5}] - w[{0, 1}]*w[{0, 0, 2, 3}] - 110*uZeta[4]*w[{0, 0, 0, 0, 2}] + (47*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - (15*w[{0, 0, 0, 0, 6}])/2 + 2*w[{0, 0, 0, 1, 5}] + 19*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 2, 2, 2}]/2,
 w[{1, 2, 0, 2, 1}] -> (608*uZeta[6])/45 - 2*uZeta[2]*uZeta[3]*w[{0, 1}] - (56*uZeta[4]*w[{0, 1}]^2)/3 - (4*uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/3 + (73*uZeta[4]*w[{0, 0, 2}])/3 - 2*w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] - 21*uZeta[2]*w[{0, 0, 2}]^2 - (17*uZeta[2]*w[{0, 0, 4}])/6 - w[{0, 1}]^2*w[{0, 0, 4}] - (5*w[{0, 0, 6}])/12 + 100*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 4*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + 4*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}] - 164*uZeta[4]*w[{0, 0, 0, 0, 2}] + 33*uZeta[2]*w[{0, 0, 0, 0, 4}] + (21*w[{0, 0, 0, 0, 6}])/2 - 4*w[{0, 0, 0, 1, 5}] + 42*uZeta[2]*w[{0, 0, 0, 2, 2}] + w[{0, 0, 0, 2, 4}] + 2*w[{0, 0, 2, 2, 2}],
 w[{1, 2, 1, 0, 2}] -> (929*uZeta[6])/720 + 5*uZeta[4]*w[{0, 1}]^2 + (uZeta[3]*w[{0, 3}])/4 - (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 + w[{0, 3}]^2/4 + (101*uZeta[4]*w[{0, 0, 2}])/12 - w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] + (19*uZeta[2]*w[{0, 0, 2}]^2)/2 + (7*uZeta[2]*w[{0, 0, 4}])/3 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/4 + w[{0, 0, 6}]/4 - 30*uZeta[4]*w[{0, 1}]*w[{0, 0, 0, 1}] + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] - (w[{0, 3}]*w[{0, 0, 0, 3}])/2 - w[{0, 1}]*w[{0, 0, 0, 5}] + w[{0, 1}]*w[{0, 0, 2, 3}] - 10*uZeta[4]*w[{0, 0, 0, 0, 2}] - (47*uZeta[2]*w[{0, 0, 0, 0, 4}])/2 - w[{0, 0, 0, 0, 6}]/2 - 2*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}]/2,
 w[{1, 3, 0, 0, 2}] -> (2081*uZeta[6])/480 + (uZeta[2]*w[{0, 1}]*w[{0, 3}])/3 - w[{0, 3}]^2/12 - (w[{0, 1}]*w[{0, 5}])/6 + (53*uZeta[4]*w[{0, 0, 2}])/6 + w[{0, 1}]*w[{0, 3}]*w[{0, 0, 2}] - (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 + w[{0, 0, 6}]/6 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 0, 1}] + w[{0, 1}]*w[{0, 0, 0, 5}] - 52*uZeta[4]*w[{0, 0, 0, 0, 2}] + (3*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[{2, 0, 0, 0, 4}] -> (-7*uZeta[6])/12 - uZeta[4]*w[{0, 0, 2}] + w[{0, 0, 2}]*w[{0, 0, 4}] - w[{0, 0, 6}]/6 + 6*uZeta[4]*w[{0, 0, 0, 0, 2}] + w[{0, 0, 0, 0, 6}],
 w[{2, 0, 0, 1, 3}] -> (-61*uZeta[6])/36 - w[{0, 3}]^2/12 - (7*uZeta[4]*w[{0, 0, 2}])/2 + (3*w[{0, 0, 2}]*w[{0, 0, 4}])/2 - w[{0, 0, 6}]/12 + w[{0, 3}]*w[{0, 0, 0, 3}] + 24*uZeta[4]*w[{0, 0, 0, 0, 2}] - 2*w[{0, 0, 0, 0, 6}] + w[{0, 0, 0, 1, 5}],
 w[{2, 0, 0, 2, 2}] -> (125*uZeta[6])/36 + (15*uZeta[4]*w[{0, 0, 2}])/2 - (w[{0, 0, 2}]*w[{0, 0, 4}])/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[{2, 0, 1, 0, 3}] -> (-21*uZeta[6])/8 + (uZeta[3]*w[{0, 3}])/4 + w[{0, 3}]^2/4 - 6*uZeta[4]*w[{0, 0, 2}] - w[{0, 0, 2}]*w[{0, 0, 4}] - w[{0, 0, 6}]/12 - (3*w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 24*uZeta[4]*w[{0, 0, 0, 0, 2}] + w[{0, 0, 0, 0, 6}]/2,
 w[{2, 0, 1, 1, 2}] -> (-503*uZeta[6])/144 - (uZeta[3]*w[{0, 3}])/4 - w[{0, 3}]^2/6 - (43*uZeta[4]*w[{0, 0, 2}])/4 - (w[{0, 0, 2}]*w[{0, 0, 4}])/4 - w[{0, 0, 6}]/8 + (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 48*uZeta[4]*w[{0, 0, 0, 0, 2}] + (7*w[{0, 0, 0, 0, 6}])/4 - w[{0, 0, 0, 2, 4}]/2 + w[{0, 0, 2, 2, 2}]/2,
 w[{2, 0, 2, 0, 2}] -> (-685*uZeta[6])/72 - 20*uZeta[4]*w[{0, 0, 2}] + 2*w[{0, 0, 2}]*w[{0, 0, 4}] + 96*uZeta[4]*w[{0, 0, 0, 0, 2}] - 12*w[{0, 0, 0, 0, 6}] + 8*w[{0, 0, 0, 1, 5}] - 4*w[{0, 0, 0, 2, 4}],
 w[{2, 1, 0, 0, 3}] -> (-29*uZeta[6])/18 - (uZeta[3]*w[{0, 3}])/4 + w[{0, 3}]^2/6 - 4*uZeta[4]*w[{0, 0, 2}] - w[{0, 0, 6}]/12 - (w[{0, 3}]*w[{0, 0, 0, 3}])/2 + 24*uZeta[4]*w[{0, 0, 0, 0, 2}] + 3*w[{0, 0, 0, 0, 6}] - w[{0, 0, 0, 1, 5}],
 w[{2, 1, 0, 1, 2}] -> (-29*uZeta[6])/12 + (uZeta[3]*w[{0, 3}])/2 - w[{0, 3}]^2/6 - (9*uZeta[4]*w[{0, 0, 2}])/2 - (w[{0, 0, 2}]*w[{0, 0, 4}])/2 - (5*w[{0, 0, 6}])/12 - w[{0, 3}]*w[{0, 0, 0, 3}] + 24*uZeta[4]*w[{0, 0, 0, 0, 2}] + (9*w[{0, 0, 0, 0, 6}])/2 - w[{0, 0, 0, 2, 4}] - w[{0, 0, 2, 2, 2}],
 w[{3, 0, 0, 0, 3}] -> (-7*uZeta[6])/9 + w[{0, 3}]^2/6 - 2*uZeta[4]*w[{0, 0, 2}] + w[{0, 0, 6}]/6 - 2*w[{0, 3}]*w[{0, 0, 0, 3}] + 12*uZeta[4]*w[{0, 0, 0, 0, 2}] - w[{0, 0, 0, 0, 6}]
}

(* weight 7 length 5 *)

{
w[{0, 0, 0, 0, 7}] -> -w[{0, 7}]/24 + w[{0, 0, 0, 7}]/2,
 w[{0, 0, 0, 1, 6}] -> -(uZeta[6]*w[{0, 1}])/3 - (2*uZeta[4]*w[{0, 3}])/15 - (uZeta[2]*w[{0, 5}])/12 - (29*w[{0, 7}])/120 - (w[{0, 5}]*w[{0, 0, 2}])/2 - (w[{0, 3}]*w[{0, 0, 4}])/20 + 2*uZeta[6]*w[{0, 0, 0, 1}] + (3*uZeta[4]*w[{0, 0, 0, 3}])/10 + (19*w[{0, 0, 0, 7}])/20 + w[{0, 0, 2, 5}]/5 + w[{0, 0, 4, 3}]/20,
 w[{0, 0, 0, 2, 5}] -> -(uZeta[4]*w[{0, 3}])/4 - w[{0, 7}]/24 + w[{0, 0, 2, 5}]/2,
 w[{0, 0, 0, 3, 4}] -> -(uZeta[4]*w[{0, 3}])/4 - w[{0, 7}]/24 - (w[{0, 3}]*w[{0, 0, 4}])/4 + (uZeta[4]*w[{0, 0, 0, 3}])/2 - (3*w[{0, 0, 0, 7}])/4 + w[{0, 0, 2, 5}]/2 + w[{0, 0, 4, 3}]/4,
 w[{0, 0, 0, 4, 3}] -> (uZeta[4]*w[{0, 3}])/4 - w[{0, 7}]/24 + w[{0, 0, 4, 3}]/2,
 w[{0, 0, 0, 5, 2}] -> (uZeta[4]*w[{0, 3}])/2 + (uZeta[2]*w[{0, 5}])/4 + (11*w[{0, 7}])/24 + (w[{0, 5}]*w[{0, 0, 2}])/2 + (3*w[{0, 3}]*w[{0, 0, 4}])/4 - (3*uZeta[4]*w[{0, 0, 0, 3}])/2 - uZeta[2]*w[{0, 0, 0, 5}] - (13*w[{0, 0, 0, 7}])/4 + w[{0, 0, 4, 3}]/4,
 w[{0, 0, 0, 6, 1}] -> (uZeta[6]*w[{0, 1}])/4 + (uZeta[4]*w[{0, 3}])/4 + (uZeta[2]*w[{0, 5}])/4 + (11*w[{0, 7}])/24 + (w[{0, 5}]*w[{0, 0, 2}])/2 + (w[{0, 3}]*w[{0, 0, 4}])/2 + (w[{0, 1}]*w[{0, 0, 6}])/2 - uZeta[6]*w[{0, 0, 0, 1}] - uZeta[4]*w[{0, 0, 0, 3}] - uZeta[2]*w[{0, 0, 0, 5}] - (5*w[{0, 0, 0, 7}])/2,
 w[{0, 0, 0, 7, 0}] -> w[{0, 7}]/6 - w[{0, 0, 0, 7}],
 w[{0, 0, 1, 0, 6}] -> (uZeta[4]*w[{0, 3}])/20 - (3*w[{0, 7}])/10 - (9*w[{0, 3}]*w[{0, 0, 4}])/20 - (3*uZeta[4]*w[{0, 0, 0, 3}])/10 + (41*w[{0, 0, 0, 7}])/20 - w[{0, 0, 2, 5}]/5 - w[{0, 0, 4, 3}]/20,
 w[{0, 0, 1, 1, 5}] -> (-3*w[{0, 7}])/4 - (3*w[{0, 3}]*w[{0, 0, 4}])/2 - (3*uZeta[4]*w[{0, 0, 0, 3}])/2 + (21*w[{0, 0, 0, 7}])/4 - w[{0, 0, 2, 5}]/2 - w[{0, 0, 4, 3}]/4,
 w[{0, 0, 1, 2, 4}] -> -(uZeta[3]*uZeta[4])/4 - (7*uZeta[6]*w[{0, 1}])/4 - (39*uZeta[4]*w[{0, 3}])/80 - (251*w[{0, 7}])/480 - (139*w[{0, 3}]*w[{0, 0, 4}])/80 + (21*uZeta[6]*w[{0, 0, 0, 1}])/2 - (23*uZeta[4]*w[{0, 0, 0, 3}])/40 + (123*w[{0, 0, 0, 7}])/40 + (3*w[{0, 0, 2, 5}])/40 - w[{0, 0, 4, 3}]/80,
 w[{0, 0, 1, 3, 3}] -> (-3*uZeta[3]*uZeta[4])/4 - (21*uZeta[6]*w[{0, 1}])/4 - (27*uZeta[4]*w[{0, 3}])/80 - w[{0, 7}]/160 - (27*w[{0, 3}]*w[{0, 0, 4}])/80 + (63*uZeta[6]*w[{0, 0, 0, 1}])/2 + (81*uZeta[4]*w[{0, 0, 0, 3}])/40 - (81*w[{0, 0, 0, 7}])/40 + (39*w[{0, 0, 2, 5}])/40 + (87*w[{0, 0, 4, 3}])/80,
 w[{0, 0, 1, 4, 2}] -> (-3*uZeta[3]*uZeta[4])/4 - (21*uZeta[6]*w[{0, 1}])/4 + (4*uZeta[4]*w[{0, 3}])/5 + (uZeta[2]*w[{0, 5}])/4 + (41*w[{0, 7}])/30 + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 + (14*w[{0, 3}]*w[{0, 0, 4}])/5 + (63*uZeta[6]*w[{0, 0, 0, 1}])/2 + (6*uZeta[4]*w[{0, 0, 0, 3}])/5 - uZeta[2]*w[{0, 0, 0, 5}] - (229*w[{0, 0, 0, 7}])/20 - uZeta[2]*w[{0, 0, 2, 3}] + (9*w[{0, 0, 2, 5}])/5 + (29*w[{0, 0, 4, 3}])/20,
 w[{0, 0, 1, 5, 1}] -> -(uZeta[3]*uZeta[4])/4 - (4*uZeta[6]*w[{0, 1}])/3 + (6*uZeta[4]*w[{0, 3}])/5 - (w[{0, 1}]*w[{0, 3}]^2)/4 + (uZeta[2]*w[{0, 5}])/2 + (83*w[{0, 7}])/60 + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (59*w[{0, 3}]*w[{0, 0, 4}])/20 + (5*w[{0, 1}]*w[{0, 0, 6}])/4 + (21*uZeta[6]*w[{0, 0, 0, 1}])/2 - (uZeta[4]*w[{0, 0, 0, 3}])/5 - 2*uZeta[2]*w[{0, 0, 0, 5}] - (201*w[{0, 0, 0, 7}])/20 - uZeta[2]*w[{0, 0, 2, 3}] + (6*w[{0, 0, 2, 5}])/5 + (11*w[{0, 0, 4, 3}])/20,
 w[{0, 0, 1, 6, 0}] -> (uZeta[4]*w[{0, 3}])/4 + (uZeta[2]*w[{0, 5}])/4 + (11*w[{0, 7}])/24 + (w[{0, 5}]*w[{0, 0, 2}])/2 + (w[{0, 3}]*w[{0, 0, 4}])/2 - 3*w[{0, 0, 0, 7}],
 w[{0, 0, 2, 0, 5}] -> (uZeta[4]*w[{0, 3}])/4 - (uZeta[2]*w[{0, 5}])/4 - w[{0, 7}]/3 - (w[{0, 5}]*w[{0, 0, 2}])/2 - (3*w[{0, 3}]*w[{0, 0, 4}])/4 - (3*uZeta[4]*w[{0, 0, 0, 3}])/2 + (11*w[{0, 0, 0, 7}])/4 - w[{0, 0, 2, 5}]/2 - w[{0, 0, 4, 3}]/4,
 w[{0, 0, 2, 1, 4}] -> (7*uZeta[6]*w[{0, 1}])/6 + (457*uZeta[4]*w[{0, 3}])/240 + (uZeta[2]*w[{0, 5}])/4 - (389*w[{0, 7}])/480 + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/2 - (81*w[{0, 3}]*w[{0, 0, 4}])/80 - 7*uZeta[6]*w[{0, 0, 0, 1}] - (317*uZeta[4]*w[{0, 0, 0, 3}])/40 + (337*w[{0, 0, 0, 7}])/40 - (83*w[{0, 0, 2, 5}])/40 - (119*w[{0, 0, 4, 3}])/80,
 w[{0, 0, 2, 2, 3}] -> (-3*uZeta[3]*uZeta[4])/4 - (21*uZeta[6]*w[{0, 1}])/4 + (23*uZeta[4]*w[{0, 3}])/80 - (uZeta[2]*w[{0, 5}])/4 - (193*w[{0, 7}])/480 - (w[{0, 5}]*w[{0, 0, 2}])/2 - (57*w[{0, 3}]*w[{0, 0, 4}])/80 + (63*uZeta[6]*w[{0, 0, 0, 1}])/2 - (69*uZeta[4]*w[{0, 0, 0, 3}])/40 + (149*w[{0, 0, 0, 7}])/40 - (31*w[{0, 0, 2, 5}])/40 - (43*w[{0, 0, 4, 3}])/80,
 w[{0, 0, 2, 3, 2}] -> (-3*uZeta[3]*uZeta[4])/2 - (21*uZeta[6]*w[{0, 1}])/2 - (27*uZeta[4]*w[{0, 3}])/40 + (uZeta[2]*w[{0, 5}])/2 + (59*w[{0, 7}])/80 + w[{0, 5}]*w[{0, 0, 2}] + (33*w[{0, 3}]*w[{0, 0, 4}])/40 + 63*uZeta[6]*w[{0, 0, 0, 1}] + (81*uZeta[4]*w[{0, 0, 0, 3}])/20 - (141*w[{0, 0, 0, 7}])/20 - uZeta[2]*w[{0, 0, 2, 3}] + (29*w[{0, 0, 2, 5}])/20 + (47*w[{0, 0, 4, 3}])/40,
 w[{0, 0, 2, 4, 1}] -> (-3*uZeta[3]*uZeta[4])/4 - (139*uZeta[6]*w[{0, 1}])/24 + (7*uZeta[4]*w[{0, 3}])/15 - (w[{0, 1}]*w[{0, 3}]^2)/2 + (uZeta[2]*w[{0, 5}])/4 + (41*w[{0, 7}])/30 - uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 + (14*w[{0, 3}]*w[{0, 0, 4}])/5 + w[{0, 1}]*w[{0, 0, 6}] + 35*uZeta[6]*w[{0, 0, 0, 1}] + (26*uZeta[4]*w[{0, 0, 0, 3}])/5 - uZeta[2]*w[{0, 0, 0, 5}] - (239*w[{0, 0, 0, 7}])/20 - 2*uZeta[2]*w[{0, 0, 2, 3}] + (23*w[{0, 0, 2, 5}])/10 + (29*w[{0, 0, 4, 3}])/20,
 w[{0, 0, 2, 5, 0}] -> (uZeta[4]*w[{0, 3}])/2 + (uZeta[2]*w[{0, 5}])/4 + (11*w[{0, 7}])/24 + (w[{0, 5}]*w[{0, 0, 2}])/2 + (3*w[{0, 3}]*w[{0, 0, 4}])/4 + (3*uZeta[4]*w[{0, 0, 0, 3}])/2 - (11*w[{0, 0, 0, 7}])/4 + w[{0, 0, 4, 3}]/4,
 w[{0, 0, 3, 0, 4}] -> (uZeta[4]*w[{0, 3}])/4 + (3*w[{0, 3}]*w[{0, 0, 4}])/4 - (3*uZeta[4]*w[{0, 0, 0, 3}])/2 + (5*w[{0, 0, 0, 7}])/4 - w[{0, 0, 2, 5}]/2 - (3*w[{0, 0, 4, 3}])/4,
 w[{0, 0, 3, 1, 3}] -> (3*uZeta[4]*w[{0, 3}])/8 + w[{0, 7}]/16 + (15*w[{0, 3}]*w[{0, 0, 4}])/8 - (3*uZeta[4]*w[{0, 0, 0, 3}])/4 + (7*w[{0, 0, 0, 7}])/2 - (7*w[{0, 0, 2, 5}])/4 - (17*w[{0, 0, 4, 3}])/8,
 w[{0, 0, 3, 2, 2}] -> (-3*uZeta[3]*uZeta[4])/4 - (21*uZeta[6]*w[{0, 1}])/4 - (157*uZeta[4]*w[{0, 3}])/80 - (7*uZeta[2]*w[{0, 5}])/12 - (51*w[{0, 7}])/160 - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 - (17*w[{0, 3}]*w[{0, 0, 4}])/80 + (63*uZeta[6]*w[{0, 0, 0, 1}])/2 + (351*uZeta[4]*w[{0, 0, 0, 3}])/40 + 4*uZeta[2]*w[{0, 0, 0, 5}] + (139*w[{0, 0, 0, 7}])/40 - uZeta[2]*w[{0, 0, 2, 3}] - (31*w[{0, 0, 2, 5}])/40 - (63*w[{0, 0, 4, 3}])/80,
 w[{0, 0, 3, 3, 1}] -> (-3*uZeta[3]*uZeta[4])/4 - (83*uZeta[6]*w[{0, 1}])/12 - (227*uZeta[4]*w[{0, 3}])/80 + (w[{0, 1}]*w[{0, 3}]^2)/4 - (uZeta[2]*w[{0, 5}])/3 - (43*w[{0, 7}])/480 - 3*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (107*w[{0, 3}]*w[{0, 0, 4}])/80 + (w[{0, 1}]*w[{0, 0, 6}])/4 + (63*uZeta[6]*w[{0, 0, 0, 1}])/2 + (461*uZeta[4]*w[{0, 0, 0, 3}])/40 + 4*uZeta[2]*w[{0, 0, 0, 5}] - (71*w[{0, 0, 0, 7}])/40 - 2*uZeta[2]*w[{0, 0, 2, 3}] + (39*w[{0, 0, 2, 5}])/40 + (107*w[{0, 0, 4, 3}])/80,
 w[{0, 0, 3, 4, 0}] -> -w[{0, 7}]/24 - (w[{0, 3}]*w[{0, 0, 4}])/2 + 3*uZeta[4]*w[{0, 0, 0, 3}] - w[{0, 0, 0, 7}]/2 + w[{0, 0, 4, 3}]/2,
 w[{0, 0, 4, 0, 3}] -> -(uZeta[4]*w[{0, 3}])/2 + w[{0, 7}]/6 + (w[{0, 3}]*w[{0, 0, 4}])/4 + (3*uZeta[4]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 0, 7}]/4 - w[{0, 0, 2, 5}]/2 - (3*w[{0, 0, 4, 3}])/4,
 w[{0, 0, 4, 1, 2}] -> (7*uZeta[6]*w[{0, 1}])/6 - (623*uZeta[4]*w[{0, 3}])/240 - (5*uZeta[2]*w[{0, 5}])/12 - (469*w[{0, 7}])/480 - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/2 - (121*w[{0, 3}]*w[{0, 0, 4}])/80 - 7*uZeta[6]*w[{0, 0, 0, 1}] + (563*uZeta[4]*w[{0, 0, 0, 3}])/40 + 3*uZeta[2]*w[{0, 0, 0, 5}] + (377*w[{0, 0, 0, 7}])/40 - (83*w[{0, 0, 2, 5}])/40 - (119*w[{0, 0, 4, 3}])/80,
 w[{0, 0, 4, 2, 1}] -> -(uZeta[3]*uZeta[4])/4 - (39*uZeta[6]*w[{0, 1}])/8 - (977*uZeta[4]*w[{0, 3}])/240 + (w[{0, 1}]*w[{0, 3}]^2)/2 - uZeta[2]*w[{0, 5}] - (211*w[{0, 7}])/480 - 3*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - (119*w[{0, 3}]*w[{0, 0, 4}])/80 - (3*w[{0, 1}]*w[{0, 0, 6}])/2 + 14*uZeta[6]*w[{0, 0, 0, 1}] + (477*uZeta[4]*w[{0, 0, 0, 3}])/40 + 7*uZeta[2]*w[{0, 0, 0, 5}] + (93*w[{0, 0, 0, 7}])/40 - uZeta[2]*w[{0, 0, 2, 3}] + (3*w[{0, 0, 2, 5}])/40 + (19*w[{0, 0, 4, 3}])/80,
 w[{0, 0, 4, 3, 0}] -> -(uZeta[4]*w[{0, 3}])/4 - w[{0, 7}]/24 - (w[{0, 3}]*w[{0, 0, 4}])/4 - (3*uZeta[4]*w[{0, 0, 0, 3}])/2 - w[{0, 0, 0, 7}]/4 + w[{0, 0, 2, 5}]/2 + w[{0, 0, 4, 3}]/4,
 w[{0, 0, 5, 0, 2}] -> (-3*uZeta[4]*w[{0, 3}])/4 - (uZeta[2]*w[{0, 5}])/2 - w[{0, 7}]/2 - (3*w[{0, 3}]*w[{0, 0, 4}])/4 + (9*uZeta[4]*w[{0, 0, 0, 3}])/2 + 3*uZeta[2]*w[{0, 0, 0, 5}] + (15*w[{0, 0, 0, 7}])/4 - w[{0, 0, 2, 5}]/2 - w[{0, 0, 4, 3}]/4,
 w[{0, 0, 5, 1, 1}] -> (-17*uZeta[6]*w[{0, 1}])/12 - 2*uZeta[4]*w[{0, 3}] + (w[{0, 1}]*w[{0, 3}]^2)/4 - (19*uZeta[2]*w[{0, 5}])/24 + (w[{0, 1}]^2*w[{0, 5}])/4 - (5*w[{0, 7}])/12 - uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/4 - uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - w[{0, 3}]*w[{0, 0, 4}] - (3*w[{0, 1}]*w[{0, 0, 6}])/4 + (13*uZeta[4]*w[{0, 0, 0, 3}])/2 + 6*uZeta[2]*w[{0, 0, 0, 5}] + (13*w[{0, 0, 0, 7}])/4 - w[{0, 0, 2, 5}]/2 - w[{0, 0, 4, 3}]/4,
 w[{0, 0, 5, 2, 0}] -> -(uZeta[4]*w[{0, 3}])/4 - (uZeta[2]*w[{0, 5}])/4 - w[{0, 7}]/24 - (w[{0, 5}]*w[{0, 0, 2}])/2 - 3*uZeta[4]*w[{0, 0, 0, 3}] - w[{0, 0, 0, 7}]/2 + w[{0, 0, 2, 5}]/2,
 w[{0, 0, 6, 0, 1}] -> -(uZeta[6]*w[{0, 1}])/12 - (17*uZeta[4]*w[{0, 3}])/60 - (uZeta[2]*w[{0, 5}])/3 - (2*w[{0, 7}])/15 - (9*w[{0, 3}]*w[{0, 0, 4}])/20 - (w[{0, 1}]*w[{0, 0, 6}])/2 - uZeta[6]*w[{0, 0, 0, 1}] + (17*uZeta[4]*w[{0, 0, 0, 3}])/10 + 2*uZeta[2]*w[{0, 0, 0, 5}] + (21*w[{0, 0, 0, 7}])/20 - w[{0, 0, 2, 5}]/5 - w[{0, 0, 4, 3}]/20,
 w[{0, 0, 6, 1, 0}] -> -(uZeta[6]*w[{0, 1}])/3 - (2*uZeta[4]*w[{0, 3}])/15 - (uZeta[2]*w[{0, 5}])/12 - (29*w[{0, 7}])/120 - (w[{0, 5}]*w[{0, 0, 2}])/2 - (w[{0, 3}]*w[{0, 0, 4}])/20 + 2*uZeta[6]*w[{0, 0, 0, 1}] - (7*uZeta[4]*w[{0, 0, 0, 3}])/10 - uZeta[2]*w[{0, 0, 0, 5}] + (29*w[{0, 0, 0, 7}])/20 + w[{0, 0, 2, 5}]/5 + w[{0, 0, 4, 3}]/20,
 w[{0, 1, 0, 0, 6}] -> (uZeta[6]*w[{0, 1}])/3 - (uZeta[4]*w[{0, 3}])/6 - (uZeta[2]*w[{0, 5}])/6 + w[{0, 7}]/12 - 2*uZeta[6]*w[{0, 0, 0, 1}] + uZeta[4]*w[{0, 0, 0, 3}] + uZeta[2]*w[{0, 0, 0, 5}] - w[{0, 0, 0, 7}]/2,
 w[{0, 1, 0, 1, 5}] -> (uZeta[3]*uZeta[4])/4 + (7*uZeta[6]*w[{0, 1}])/4 - (6*uZeta[4]*w[{0, 3}])/5 - (uZeta[2]*w[{0, 5}])/2 + (7*w[{0, 7}])/60 - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 3}]*w[{0, 0, 4}])/20 - (21*uZeta[6]*w[{0, 0, 0, 1}])/2 + (16*uZeta[4]*w[{0, 0, 0, 3}])/5 + 2*uZeta[2]*w[{0, 0, 0, 5}] - (9*w[{0, 0, 0, 7}])/20 + uZeta[2]*w[{0, 0, 2, 3}] - w[{0, 0, 2, 5}]/5 - w[{0, 0, 4, 3}]/20,
 w[{0, 1, 0, 2, 4}] -> uZeta[3]*uZeta[4] + (35*uZeta[6]*w[{0, 1}])/6 - (103*uZeta[4]*w[{0, 3}])/60 - (uZeta[2]*w[{0, 5}])/2 - w[{0, 7}]/30 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 4}])/20 - 35*uZeta[6]*w[{0, 0, 0, 1}] + (23*uZeta[4]*w[{0, 0, 0, 3}])/10 + uZeta[2]*w[{0, 0, 0, 5}] + (9*w[{0, 0, 0, 7}])/20 + 2*uZeta[2]*w[{0, 0, 2, 3}] - (3*w[{0, 0, 2, 5}])/10 + w[{0, 0, 4, 3}]/20,
 w[{0, 1, 0, 3, 3}] -> (3*uZeta[3]*uZeta[4])/2 + (21*uZeta[6]*w[{0, 1}])/2 + (14*uZeta[4]*w[{0, 3}])/5 + (uZeta[2]*w[{0, 5}])/3 + w[{0, 7}]/30 + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 4}])/5 - 63*uZeta[6]*w[{0, 0, 0, 1}] - (64*uZeta[4]*w[{0, 0, 0, 3}])/5 - 4*uZeta[2]*w[{0, 0, 0, 5}] + (3*w[{0, 0, 0, 7}])/10 + 2*uZeta[2]*w[{0, 0, 2, 3}] - w[{0, 0, 2, 5}]/5 - (3*w[{0, 0, 4, 3}])/10,
 w[{0, 1, 0, 4, 2}] -> uZeta[3]*uZeta[4] + (35*uZeta[6]*w[{0, 1}])/6 + (151*uZeta[4]*w[{0, 3}])/30 + (4*uZeta[2]*w[{0, 5}])/3 + w[{0, 7}]/20 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 3}]*w[{0, 0, 4}])/5 - 35*uZeta[6]*w[{0, 0, 0, 1}] - (111*uZeta[4]*w[{0, 0, 0, 3}])/5 - 10*uZeta[2]*w[{0, 0, 0, 5}] - (3*w[{0, 0, 0, 7}])/10 + 2*uZeta[2]*w[{0, 0, 2, 3}] + w[{0, 0, 2, 5}]/5 - w[{0, 0, 4, 3}]/5,
 w[{0, 1, 0, 5, 1}] -> (uZeta[3]*uZeta[4])/4 + (11*uZeta[6]*w[{0, 1}])/4 + (14*uZeta[4]*w[{0, 3}])/5 + (13*uZeta[2]*w[{0, 5}])/12 - (11*w[{0, 7}])/20 + uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 + uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - (19*w[{0, 3}]*w[{0, 0, 4}])/20 - (w[{0, 1}]*w[{0, 0, 6}])/2 - (21*uZeta[6]*w[{0, 0, 0, 1}])/2 - (64*uZeta[4]*w[{0, 0, 0, 3}])/5 - 10*uZeta[2]*w[{0, 0, 0, 5}] + (71*w[{0, 0, 0, 7}])/20 + uZeta[2]*w[{0, 0, 2, 3}] - w[{0, 0, 2, 5}]/5 - w[{0, 0, 4, 3}]/20,
 w[{0, 1, 0, 6, 0}] -> (uZeta[6]*w[{0, 1}])/3 + (uZeta[4]*w[{0, 3}])/3 + (uZeta[2]*w[{0, 5}])/3 - w[{0, 7}]/6 - 2*uZeta[6]*w[{0, 0, 0, 1}] - 2*uZeta[4]*w[{0, 0, 0, 3}] - 2*uZeta[2]*w[{0, 0, 0, 5}] + w[{0, 0, 0, 7}],
 w[{0, 1, 1, 0, 5}] -> -(uZeta[3]*uZeta[4])/4 - (7*uZeta[6]*w[{0, 1}])/4 - (4*uZeta[4]*w[{0, 3}])/5 - (uZeta[2]*w[{0, 5}])/12 + (13*w[{0, 7}])/60 + (w[{0, 5}]*w[{0, 0, 2}])/2 + (9*w[{0, 3}]*w[{0, 0, 4}])/20 + (21*uZeta[6]*w[{0, 0, 0, 1}])/2 + (24*uZeta[4]*w[{0, 0, 0, 3}])/5 + 4*uZeta[2]*w[{0, 0, 0, 5}] - (31*w[{0, 0, 0, 7}])/20 - uZeta[2]*w[{0, 0, 2, 3}] + w[{0, 0, 2, 5}]/5 + w[{0, 0, 4, 3}]/20,
 w[{0, 1, 1, 1, 4}] -> (-7*uZeta[4]*w[{0, 3}])/4 - (19*uZeta[2]*w[{0, 5}])/12 + (5*w[{0, 7}])/12 - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 + w[{0, 3}]*w[{0, 0, 4}] + (27*uZeta[4]*w[{0, 0, 0, 3}])/2 + 9*uZeta[2]*w[{0, 0, 0, 5}] - (13*w[{0, 0, 0, 7}])/4 - 2*uZeta[2]*w[{0, 0, 2, 3}] + w[{0, 0, 2, 5}]/2 + w[{0, 0, 4, 3}]/4,
 w[{0, 1, 1, 2, 3}] -> (uZeta[3]*uZeta[4])/2 + (7*uZeta[6]*w[{0, 1}])/2 - (17*uZeta[4]*w[{0, 3}])/80 + (uZeta[2]*w[{0, 5}])/12 + (67*w[{0, 7}])/480 - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/2 + (43*w[{0, 3}]*w[{0, 0, 4}])/80 - 21*uZeta[6]*w[{0, 0, 0, 1}] - (109*uZeta[4]*w[{0, 0, 0, 3}])/40 - uZeta[2]*w[{0, 0, 0, 5}] - (11*w[{0, 0, 0, 7}])/40 + 3*uZeta[2]*w[{0, 0, 2, 3}] - (11*w[{0, 0, 2, 5}])/40 - (23*w[{0, 0, 4, 3}])/80,
 w[{0, 1, 1, 3, 2}] -> (13*uZeta[4]*w[{0, 3}])/2 + (7*uZeta[2]*w[{0, 5}])/4 - w[{0, 7}]/6 - (w[{0, 5}]*w[{0, 0, 2}])/2 - 39*uZeta[4]*w[{0, 0, 0, 3}] - 25*uZeta[2]*w[{0, 0, 0, 5}] + 2*w[{0, 0, 0, 7}] + 12*uZeta[2]*w[{0, 0, 2, 3}] - w[{0, 0, 2, 5}]/2 - w[{0, 0, 4, 3}]/2,
 w[{0, 1, 1, 4, 1}] -> -(uZeta[3]*uZeta[4])/4 + (67*uZeta[6]*w[{0, 1}])/12 + (29*uZeta[4]*w[{0, 3}])/4 + (w[{0, 1}]*w[{0, 3}]^2)/4 + (13*uZeta[2]*w[{0, 5}])/3 - (5*w[{0, 7}])/4 + 3*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + 4*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + w[{0, 5}]*w[{0, 0, 2}] + (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 - 3*w[{0, 3}]*w[{0, 0, 4}] - (3*w[{0, 1}]*w[{0, 0, 6}])/4 - 21*uZeta[6]*w[{0, 0, 0, 1}] - 40*uZeta[4]*w[{0, 0, 0, 3}] - 27*uZeta[2]*w[{0, 0, 0, 5}] + (39*w[{0, 0, 0, 7}])/4 + 6*uZeta[2]*w[{0, 0, 2, 3}] - (3*w[{0, 0, 2, 5}])/2 - (3*w[{0, 0, 4, 3}])/4,
 w[{0, 1, 1, 5, 0}] -> 2*uZeta[4]*w[{0, 3}] + (7*uZeta[2]*w[{0, 5}])/12 - w[{0, 7}]/3 + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 - (w[{0, 3}]*w[{0, 0, 4}])/2 - 8*uZeta[4]*w[{0, 0, 0, 3}] - 6*uZeta[2]*w[{0, 0, 0, 5}] + 2*w[{0, 0, 0, 7}],
 w[{0, 1, 2, 0, 4}] -> (-3*uZeta[3]*uZeta[4])/4 - (77*uZeta[6]*w[{0, 1}])/12 - (28*uZeta[4]*w[{0, 3}])/15 - (uZeta[2]*w[{0, 5}])/2 + (7*w[{0, 7}])/60 - (w[{0, 3}]*w[{0, 0, 4}])/5 + (77*uZeta[6]*w[{0, 0, 0, 1}])/2 + (107*uZeta[4]*w[{0, 0, 0, 3}])/10 + 6*uZeta[2]*w[{0, 0, 0, 5}] - (6*w[{0, 0, 0, 7}])/5 - 3*uZeta[2]*w[{0, 0, 2, 3}] + (3*w[{0, 0, 2, 5}])/10 + w[{0, 0, 4, 3}]/5,
 w[{0, 1, 2, 1, 3}] -> -(uZeta[3]*uZeta[4])/2 - (7*uZeta[6]*w[{0, 1}])/2 - (383*uZeta[4]*w[{0, 3}])/80 - (4*uZeta[2]*w[{0, 5}])/3 + (133*w[{0, 7}])/480 + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (43*w[{0, 3}]*w[{0, 0, 4}])/80 + 21*uZeta[6]*w[{0, 0, 0, 1}] + (1249*uZeta[4]*w[{0, 0, 0, 3}])/40 + 21*uZeta[2]*w[{0, 0, 0, 5}] - (159*w[{0, 0, 0, 7}])/40 - 13*uZeta[2]*w[{0, 0, 2, 3}] + (51*w[{0, 0, 2, 5}])/40 + (83*w[{0, 0, 4, 3}])/80,
 w[{0, 1, 2, 2, 2}] -> -(uZeta[3]*uZeta[4])/2 + (7*uZeta[6]*w[{0, 1}])/3 - (109*uZeta[4]*w[{0, 3}])/240 - (uZeta[2]*w[{0, 5}])/3 - (7*w[{0, 7}])/480 + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (17*w[{0, 3}]*w[{0, 0, 4}])/80 - 14*uZeta[6]*w[{0, 0, 0, 1}] + (229*uZeta[4]*w[{0, 0, 0, 3}])/40 + 6*uZeta[2]*w[{0, 0, 0, 5}] + (21*w[{0, 0, 0, 7}])/40 - 4*uZeta[2]*w[{0, 0, 2, 3}] - (9*w[{0, 0, 2, 5}])/40 - (17*w[{0, 0, 4, 3}])/80,
 w[{0, 1, 2, 3, 1}] -> -(uZeta[3]*uZeta[4])/2 - (25*uZeta[6]*w[{0, 1}])/6 + (417*uZeta[4]*w[{0, 3}])/80 - (w[{0, 1}]*w[{0, 3}]^2)/4 + (19*uZeta[2]*w[{0, 5}])/12 - (89*w[{0, 7}])/160 - 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 + uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - (43*w[{0, 3}]*w[{0, 0, 4}])/80 - (w[{0, 1}]*w[{0, 0, 6}])/4 + 21*uZeta[6]*w[{0, 0, 0, 1}] - (1031*uZeta[4]*w[{0, 0, 0, 3}])/40 - 19*uZeta[2]*w[{0, 0, 0, 5}] + (181*w[{0, 0, 0, 7}])/40 + 7*uZeta[2]*w[{0, 0, 2, 3}] - (29*w[{0, 0, 2, 5}])/40 - (37*w[{0, 0, 4, 3}])/80,
 w[{0, 1, 2, 4, 0}] -> (uZeta[3]*uZeta[4])/4 + (7*uZeta[6]*w[{0, 1}])/12 + (43*uZeta[4]*w[{0, 3}])/12 + uZeta[2]*w[{0, 5}] - w[{0, 7}]/12 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 3}]*w[{0, 0, 4}])/4 - (7*uZeta[6]*w[{0, 0, 0, 1}])/2 - 12*uZeta[4]*w[{0, 0, 0, 3}] - 7*uZeta[2]*w[{0, 0, 0, 5}] + (3*w[{0, 0, 0, 7}])/4 + uZeta[2]*w[{0, 0, 2, 3}] - w[{0, 0, 4, 3}]/4,
 w[{0, 1, 3, 0, 3}] -> (-3*uZeta[3]*uZeta[4])/2 - (21*uZeta[6]*w[{0, 1}])/2 - (101*uZeta[4]*w[{0, 3}])/20 - (2*uZeta[2]*w[{0, 5}])/3 - (7*w[{0, 7}])/60 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 4}])/20 + 63*uZeta[6]*w[{0, 0, 0, 1}] + (223*uZeta[4]*w[{0, 0, 0, 3}])/10 + 8*uZeta[2]*w[{0, 0, 0, 5}] - w[{0, 0, 0, 7}]/20 - 4*uZeta[2]*w[{0, 0, 2, 3}] + w[{0, 0, 2, 5}]/5 + (11*w[{0, 0, 4, 3}])/20,
 w[{0, 1, 3, 1, 2}] -> (3*uZeta[3]*uZeta[4])/4 + (21*uZeta[6]*w[{0, 1}])/4 - (743*uZeta[4]*w[{0, 3}])/80 - (13*uZeta[2]*w[{0, 5}])/6 - (107*w[{0, 7}])/480 + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (103*w[{0, 3}]*w[{0, 0, 4}])/80 - (63*uZeta[6]*w[{0, 0, 0, 1}])/2 + (2389*uZeta[4]*w[{0, 0, 0, 3}])/40 + 31*uZeta[2]*w[{0, 0, 0, 5}] + (21*w[{0, 0, 0, 7}])/40 - 18*uZeta[2]*w[{0, 0, 2, 3}] + (11*w[{0, 0, 2, 5}])/40 + (43*w[{0, 0, 4, 3}])/80,
 w[{0, 1, 3, 2, 1}] -> (uZeta[3]*uZeta[4])/2 - (91*uZeta[6]*w[{0, 1}])/24 - (397*uZeta[4]*w[{0, 3}])/80 - (19*uZeta[2]*w[{0, 5}])/12 + (89*w[{0, 7}])/160 - 10*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/2 - (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 + (103*w[{0, 3}]*w[{0, 0, 4}])/80 - 21*uZeta[6]*w[{0, 0, 0, 1}] + (1031*uZeta[4]*w[{0, 0, 0, 3}])/40 + 19*uZeta[2]*w[{0, 0, 0, 5}] - (181*w[{0, 0, 0, 7}])/40 - 7*uZeta[2]*w[{0, 0, 2, 3}] + (29*w[{0, 0, 2, 5}])/40 + (37*w[{0, 0, 4, 3}])/80,
 w[{0, 1, 3, 3, 0}] -> (9*uZeta[4]*w[{0, 3}])/4 + (uZeta[2]*w[{0, 5}])/3 + w[{0, 7}]/12 + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 3}]*w[{0, 0, 4}])/4 - (19*uZeta[4]*w[{0, 0, 0, 3}])/2 - 4*uZeta[2]*w[{0, 0, 0, 5}] - w[{0, 0, 0, 7}]/4 + 2*uZeta[2]*w[{0, 0, 2, 3}] - w[{0, 0, 4, 3}]/4,
 w[{0, 1, 4, 0, 2}] -> -(uZeta[3]*uZeta[4]) - (49*uZeta[6]*w[{0, 1}])/6 - (397*uZeta[4]*w[{0, 3}])/60 - (19*uZeta[2]*w[{0, 5}])/12 - w[{0, 7}]/20 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 - (w[{0, 3}]*w[{0, 0, 4}])/5 + 49*uZeta[6]*w[{0, 0, 0, 1}] + (131*uZeta[4]*w[{0, 0, 0, 3}])/5 + 11*uZeta[2]*w[{0, 0, 0, 5}] - w[{0, 0, 0, 7}]/5 - 2*uZeta[2]*w[{0, 0, 2, 3}] + (3*w[{0, 0, 2, 5}])/10 + w[{0, 0, 4, 3}]/5,
 w[{0, 1, 4, 1, 1}] -> (uZeta[3]*uZeta[4])/4 - (73*uZeta[6]*w[{0, 1}])/8 - (199*uZeta[4]*w[{0, 3}])/24 + (uZeta[2]*w[{0, 1}]^2*w[{0, 3}])/2 - (w[{0, 1}]*w[{0, 3}]^2)/2 - (33*uZeta[2]*w[{0, 5}])/8 - (w[{0, 1}]^2*w[{0, 5}])/4 + (5*w[{0, 7}])/4 - 7*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - (9*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}])/2 - (3*w[{0, 5}]*w[{0, 0, 2}])/4 - 5*uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] + 3*w[{0, 3}]*w[{0, 0, 4}] + (3*w[{0, 1}]*w[{0, 0, 6}])/2 + 21*uZeta[6]*w[{0, 0, 0, 1}] + 40*uZeta[4]*w[{0, 0, 0, 3}] + 27*uZeta[2]*w[{0, 0, 0, 5}] - (39*w[{0, 0, 0, 7}])/4 - 6*uZeta[2]*w[{0, 0, 2, 3}] + (3*w[{0, 0, 2, 5}])/2 + (3*w[{0, 0, 4, 3}])/4,
 w[{0, 1, 4, 2, 0}] -> (-7*uZeta[6]*w[{0, 1}])/6 - (11*uZeta[4]*w[{0, 3}])/12 - (uZeta[2]*w[{0, 5}])/4 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/2 + 7*uZeta[6]*w[{0, 0, 0, 1}] - 4*uZeta[4]*w[{0, 0, 0, 3}] + uZeta[2]*w[{0, 0, 0, 5}] + w[{0, 0, 0, 7}]/2 + 2*uZeta[2]*w[{0, 0, 2, 3}] - w[{0, 0, 2, 5}]/2,
 w[{0, 1, 5, 0, 1}] -> -(uZeta[3]*uZeta[4])/4 - (11*uZeta[6]*w[{0, 1}])/4 - (14*uZeta[4]*w[{0, 3}])/5 - (13*uZeta[2]*w[{0, 5}])/12 + (11*w[{0, 7}])/20 - uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] + (19*w[{0, 3}]*w[{0, 0, 4}])/20 + (w[{0, 1}]*w[{0, 0, 6}])/2 + (21*uZeta[6]*w[{0, 0, 0, 1}])/2 + (64*uZeta[4]*w[{0, 0, 0, 3}])/5 + 10*uZeta[2]*w[{0, 0, 0, 5}] - (71*w[{0, 0, 0, 7}])/20 - uZeta[2]*w[{0, 0, 2, 3}] + w[{0, 0, 2, 5}]/5 + w[{0, 0, 4, 3}]/20,
 w[{0, 2, 0, 0, 5}] -> -(uZeta[4]*w[{0, 3}])/2 - (uZeta[2]*w[{0, 5}])/4 - w[{0, 7}]/12 - (w[{0, 5}]*w[{0, 0, 2}])/2 + 3*uZeta[4]*w[{0, 0, 0, 3}] + w[{0, 0, 0, 7}]/2,
 w[{0, 2, 0, 1, 4}] -> uZeta[3]*uZeta[4] + (49*uZeta[6]*w[{0, 1}])/6 - (109*uZeta[4]*w[{0, 3}])/30 + (uZeta[2]*w[{0, 5}])/4 - w[{0, 7}]/30 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/2 - (w[{0, 3}]*w[{0, 0, 4}])/20 - 49*uZeta[6]*w[{0, 0, 0, 1}] + (83*uZeta[4]*w[{0, 0, 0, 3}])/10 - w[{0, 0, 0, 7}]/20 + w[{0, 0, 2, 5}]/5 + w[{0, 0, 4, 3}]/20,
 w[{0, 2, 0, 2, 3}] -> 3*uZeta[3]*uZeta[4] + 21*uZeta[6]*w[{0, 1}] + (uZeta[4]*w[{0, 3}])/10 - (uZeta[2]*w[{0, 5}])/4 + w[{0, 7}]/15 - (w[{0, 5}]*w[{0, 0, 2}])/2 + (3*w[{0, 3}]*w[{0, 0, 4}])/5 - 126*uZeta[6]*w[{0, 0, 0, 1}] - (3*uZeta[4]*w[{0, 0, 0, 3}])/5 - (2*w[{0, 0, 0, 7}])/5 + w[{0, 0, 2, 5}]/10 - w[{0, 0, 4, 3}]/10,
 w[{0, 2, 0, 3, 2}] -> 3*uZeta[3]*uZeta[4] + 21*uZeta[6]*w[{0, 1}] + (117*uZeta[4]*w[{0, 3}])/20 + (5*uZeta[2]*w[{0, 5}])/12 - w[{0, 7}]/10 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/2 - (2*w[{0, 3}]*w[{0, 0, 4}])/5 - 126*uZeta[6]*w[{0, 0, 0, 1}] - (108*uZeta[4]*w[{0, 0, 0, 3}])/5 - 3*uZeta[2]*w[{0, 0, 0, 5}] + w[{0, 0, 0, 7}]/10 + 2*uZeta[2]*w[{0, 0, 2, 3}] + w[{0, 0, 2, 5}]/10 + (2*w[{0, 0, 4, 3}])/5,
 w[{0, 2, 0, 4, 1}] -> uZeta[3]*uZeta[4] + (235*uZeta[6]*w[{0, 1}])/24 + (397*uZeta[4]*w[{0, 3}])/60 + (uZeta[2]*w[{0, 5}])/4 + w[{0, 7}]/20 + 5*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 + (w[{0, 3}]*w[{0, 0, 4}])/5 + (w[{0, 1}]*w[{0, 0, 6}])/2 - (77*uZeta[6]*w[{0, 0, 0, 1}])/2 - (131*uZeta[4]*w[{0, 0, 0, 3}])/5 - 6*uZeta[2]*w[{0, 0, 0, 5}] + w[{0, 0, 0, 7}]/5 + 3*uZeta[2]*w[{0, 0, 2, 3}] - (3*w[{0, 0, 2, 5}])/10 - w[{0, 0, 4, 3}]/5,
 w[{0, 2, 0, 5, 0}] -> uZeta[4]*w[{0, 3}] + w[{0, 7}]/6 - 6*uZeta[4]*w[{0, 0, 0, 3}] - w[{0, 0, 0, 7}],
 w[{0, 2, 1, 0, 4}] -> -(uZeta[3]*uZeta[4]) - 7*uZeta[6]*w[{0, 1}] - (6*uZeta[4]*w[{0, 3}])/5 - (2*w[{0, 7}])/15 + (w[{0, 3}]*w[{0, 0, 4}])/20 + 42*uZeta[6]*w[{0, 0, 0, 1}] + (77*uZeta[4]*w[{0, 0, 0, 3}])/10 + (21*w[{0, 0, 0, 7}])/20 - w[{0, 0, 2, 5}]/5 - w[{0, 0, 4, 3}]/20,
 w[{0, 2, 1, 1, 3}] -> (-3*uZeta[4]*w[{0, 3}])/2 - w[{0, 7}]/4 + (21*uZeta[4]*w[{0, 0, 0, 3}])/2 + (9*w[{0, 0, 0, 7}])/4 - w[{0, 0, 2, 5}]/2 - w[{0, 0, 4, 3}]/4,
 w[{0, 2, 1, 2, 2}] -> (3*uZeta[3]*uZeta[4])/2 + (21*uZeta[6]*w[{0, 1}])/2 + (9*uZeta[4]*w[{0, 3}])/80 + (2*uZeta[2]*w[{0, 5}])/3 + (7*w[{0, 7}])/160 - 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (51*w[{0, 3}]*w[{0, 0, 4}])/80 - 63*uZeta[6]*w[{0, 0, 0, 1}] - (687*uZeta[4]*w[{0, 0, 0, 3}])/40 - 13*uZeta[2]*w[{0, 0, 0, 5}] - (63*w[{0, 0, 0, 7}])/40 + 9*uZeta[2]*w[{0, 0, 2, 3}] + (27*w[{0, 0, 2, 5}])/40 + (51*w[{0, 0, 4, 3}])/80,
 w[{0, 2, 1, 3, 1}] -> (uZeta[3]*uZeta[4])/2 + (127*uZeta[6]*w[{0, 1}])/12 + (623*uZeta[4]*w[{0, 3}])/80 + (w[{0, 1}]*w[{0, 3}]^2)/4 + (4*uZeta[2]*w[{0, 5}])/3 + (107*w[{0, 7}])/480 + 12*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (43*w[{0, 3}]*w[{0, 0, 4}])/80 + (w[{0, 1}]*w[{0, 0, 6}])/4 - 21*uZeta[6]*w[{0, 0, 0, 1}] - (2089*uZeta[4]*w[{0, 0, 0, 3}])/40 - 21*uZeta[2]*w[{0, 0, 0, 5}] - (21*w[{0, 0, 0, 7}])/40 + 13*uZeta[2]*w[{0, 0, 2, 3}] - (11*w[{0, 0, 2, 5}])/40 - (43*w[{0, 0, 4, 3}])/80,
 w[{0, 2, 1, 4, 0}] -> (5*uZeta[4]*w[{0, 3}])/2 + (uZeta[2]*w[{0, 5}])/4 + w[{0, 7}]/6 + (w[{0, 5}]*w[{0, 0, 2}])/2 - 18*uZeta[4]*w[{0, 0, 0, 3}] - w[{0, 0, 0, 7}],
 w[{0, 2, 2, 0, 3}] -> -3*uZeta[3]*uZeta[4] - 21*uZeta[6]*w[{0, 1}] - (8*uZeta[4]*w[{0, 3}])/5 + w[{0, 7}]/60 - (7*w[{0, 3}]*w[{0, 0, 4}])/20 + 126*uZeta[6]*w[{0, 0, 0, 1}] + (111*uZeta[4]*w[{0, 0, 0, 3}])/10 + (3*w[{0, 0, 0, 7}])/20 - w[{0, 0, 2, 5}]/10 - (3*w[{0, 0, 4, 3}])/20,
 w[{0, 2, 2, 1, 2}] -> -(uZeta[3]*uZeta[4])/4 - (91*uZeta[6]*w[{0, 1}])/12 - (107*uZeta[4]*w[{0, 3}])/240 - (uZeta[2]*w[{0, 5}])/3 - (7*w[{0, 7}])/160 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (71*w[{0, 3}]*w[{0, 0, 4}])/80 + (91*uZeta[6]*w[{0, 0, 0, 1}])/2 + (587*uZeta[4]*w[{0, 0, 0, 3}])/40 + 7*uZeta[2]*w[{0, 0, 0, 5}] + (63*w[{0, 0, 0, 7}])/40 - 5*uZeta[2]*w[{0, 0, 2, 3}] - (27*w[{0, 0, 2, 5}])/40 - (51*w[{0, 0, 4, 3}])/80,
 w[{0, 2, 2, 2, 1}] -> (uZeta[3]*uZeta[4])/2 + (21*uZeta[6]*w[{0, 1}])/4 + (289*uZeta[4]*w[{0, 3}])/240 + (7*w[{0, 7}])/480 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 - (37*w[{0, 3}]*w[{0, 0, 4}])/80 - (77*uZeta[6]*w[{0, 0, 0, 1}])/2 - (229*uZeta[4]*w[{0, 0, 0, 3}])/40 - (21*w[{0, 0, 0, 7}])/40 + (9*w[{0, 0, 2, 5}])/40 + (17*w[{0, 0, 4, 3}])/80,
 w[{0, 2, 2, 3, 0}] -> (3*uZeta[4]*w[{0, 3}])/2 - (uZeta[2]*w[{0, 5}])/4 - w[{0, 7}]/12 - (w[{0, 5}]*w[{0, 0, 2}])/2 - (w[{0, 3}]*w[{0, 0, 4}])/4 - (21*uZeta[4]*w[{0, 0, 0, 3}])/2 + w[{0, 0, 0, 7}]/4 + w[{0, 0, 4, 3}]/4,
 w[{0, 2, 3, 0, 2}] -> -3*uZeta[3]*uZeta[4] - 21*uZeta[6]*w[{0, 1}] - (117*uZeta[4]*w[{0, 3}])/20 - (5*uZeta[2]*w[{0, 5}])/12 + w[{0, 7}]/10 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/2 + (2*w[{0, 3}]*w[{0, 0, 4}])/5 + 126*uZeta[6]*w[{0, 0, 0, 1}] + (108*uZeta[4]*w[{0, 0, 0, 3}])/5 + 3*uZeta[2]*w[{0, 0, 0, 5}] - w[{0, 0, 0, 7}]/10 - w[{0, 0, 2, 5}]/10 - (2*w[{0, 0, 4, 3}])/5,
 w[{0, 2, 3, 1, 1}] -> (-77*uZeta[6]*w[{0, 1}])/12 - (13*uZeta[4]*w[{0, 3}])/2 - (35*uZeta[2]*w[{0, 5}])/24 + (w[{0, 1}]^2*w[{0, 5}])/4 + w[{0, 7}]/6 - 10*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/4 - uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] + 39*uZeta[4]*w[{0, 0, 0, 3}] + 20*uZeta[2]*w[{0, 0, 0, 5}] - 2*w[{0, 0, 0, 7}] - 10*uZeta[2]*w[{0, 0, 2, 3}] + w[{0, 0, 2, 5}]/2 + w[{0, 0, 4, 3}]/2,
 w[{0, 2, 4, 0, 1}] -> -(uZeta[3]*uZeta[4]) - (221*uZeta[6]*w[{0, 1}])/24 - (151*uZeta[4]*w[{0, 3}])/30 - uZeta[2]*w[{0, 5}] - w[{0, 7}]/20 - 3*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 4}])/5 - (w[{0, 1}]*w[{0, 0, 6}])/2 + (91*uZeta[6]*w[{0, 0, 0, 1}])/2 + (111*uZeta[4]*w[{0, 0, 0, 3}])/5 + 7*uZeta[2]*w[{0, 0, 0, 5}] + (3*w[{0, 0, 0, 7}])/10 - uZeta[2]*w[{0, 0, 2, 3}] - w[{0, 0, 2, 5}]/5 + w[{0, 0, 4, 3}]/5,
 w[{0, 3, 0, 0, 4}] -> w[{0, 7}]/12 - w[{0, 0, 0, 7}]/2,
 w[{0, 3, 0, 1, 3}] -> (3*uZeta[3]*uZeta[4])/2 + (21*uZeta[6]*w[{0, 1}])/2 + (11*uZeta[4]*w[{0, 3}])/20 - w[{0, 7}]/20 - (9*w[{0, 3}]*w[{0, 0, 4}])/20 - 63*uZeta[6]*w[{0, 0, 0, 1}] - (33*uZeta[4]*w[{0, 0, 0, 3}])/10 + (11*w[{0, 0, 0, 7}])/20 - w[{0, 0, 2, 5}]/5 - w[{0, 0, 4, 3}]/20,
 w[{0, 3, 0, 2, 2}] -> 3*uZeta[3]*uZeta[4] + 21*uZeta[6]*w[{0, 1}] + (37*uZeta[4]*w[{0, 3}])/20 + (uZeta[2]*w[{0, 5}])/2 - w[{0, 7}]/60 - (3*w[{0, 3}]*w[{0, 0, 4}])/20 - 126*uZeta[6]*w[{0, 0, 0, 1}] - (111*uZeta[4]*w[{0, 0, 0, 3}])/10 - 5*uZeta[2]*w[{0, 0, 0, 5}] - (3*w[{0, 0, 0, 7}])/20 + 2*uZeta[2]*w[{0, 0, 2, 3}] + w[{0, 0, 2, 5}]/10 + (3*w[{0, 0, 4, 3}])/20,
 w[{0, 3, 0, 3, 1}] -> (3*uZeta[3]*uZeta[4])/2 + (83*uZeta[6]*w[{0, 1}])/6 + (263*uZeta[4]*w[{0, 3}])/60 + (2*uZeta[2]*w[{0, 5}])/3 + (7*w[{0, 7}])/60 + 6*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (11*w[{0, 3}]*w[{0, 0, 4}])/20 - (w[{0, 1}]*w[{0, 0, 6}])/2 - 63*uZeta[6]*w[{0, 0, 0, 1}] - (223*uZeta[4]*w[{0, 0, 0, 3}])/10 - 8*uZeta[2]*w[{0, 0, 0, 5}] + w[{0, 0, 0, 7}]/20 + 4*uZeta[2]*w[{0, 0, 2, 3}] - w[{0, 0, 2, 5}]/5 - (11*w[{0, 0, 4, 3}])/20,
 w[{0, 3, 0, 4, 0}] -> uZeta[4]*w[{0, 3}] - w[{0, 7}]/6 - 6*uZeta[4]*w[{0, 0, 0, 3}] + w[{0, 0, 0, 7}],
 w[{0, 3, 1, 0, 3}] -> (-3*uZeta[3]*uZeta[4])/2 - (21*uZeta[6]*w[{0, 1}])/2 - (11*uZeta[4]*w[{0, 3}])/20 + w[{0, 7}]/20 + (9*w[{0, 3}]*w[{0, 0, 4}])/20 + 63*uZeta[6]*w[{0, 0, 0, 1}] + (33*uZeta[4]*w[{0, 0, 0, 3}])/10 - (11*w[{0, 0, 0, 7}])/20 + w[{0, 0, 2, 5}]/5 + w[{0, 0, 4, 3}]/20,
 w[{0, 3, 1, 1, 2}] -> (21*uZeta[4]*w[{0, 3}])/4 + (uZeta[2]*w[{0, 5}])/6 + w[{0, 7}]/4 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (61*uZeta[4]*w[{0, 0, 0, 3}])/2 - 3*uZeta[2]*w[{0, 0, 0, 5}] - (9*w[{0, 0, 0, 7}])/4 + 2*uZeta[2]*w[{0, 0, 2, 3}] + w[{0, 0, 2, 5}]/2 + w[{0, 0, 4, 3}]/4,
 w[{0, 3, 1, 2, 1}] -> (uZeta[3]*uZeta[4])/2 + (331*uZeta[6]*w[{0, 1}])/24 + (223*uZeta[4]*w[{0, 3}])/80 - (w[{0, 1}]*w[{0, 3}]^2)/4 + (4*uZeta[2]*w[{0, 5}])/3 - (133*w[{0, 7}])/480 + 17*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - 5*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 + (63*w[{0, 3}]*w[{0, 0, 4}])/80 + (w[{0, 1}]*w[{0, 0, 6}])/4 - 21*uZeta[6]*w[{0, 0, 0, 1}] - (1249*uZeta[4]*w[{0, 0, 0, 3}])/40 - 21*uZeta[2]*w[{0, 0, 0, 5}] + (159*w[{0, 0, 0, 7}])/40 + 13*uZeta[2]*w[{0, 0, 2, 3}] - (51*w[{0, 0, 2, 5}])/40 - (83*w[{0, 0, 4, 3}])/80,
 w[{0, 3, 2, 0, 2}] -> -3*uZeta[3]*uZeta[4] - 21*uZeta[6]*w[{0, 1}] + (43*uZeta[4]*w[{0, 3}])/20 + (5*uZeta[2]*w[{0, 5}])/12 - w[{0, 7}]/15 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 - (w[{0, 3}]*w[{0, 0, 4}])/10 + 126*uZeta[6]*w[{0, 0, 0, 1}] + (3*uZeta[4]*w[{0, 0, 0, 3}])/5 - 3*uZeta[2]*w[{0, 0, 0, 5}] + (2*w[{0, 0, 0, 7}])/5 - w[{0, 0, 2, 5}]/10 + w[{0, 0, 4, 3}]/10,
 w[{0, 3, 2, 1, 1}] -> -(uZeta[3]*uZeta[4])/2 - (25*uZeta[6]*w[{0, 1}])/6 + (181*uZeta[4]*w[{0, 3}])/240 - (uZeta[2]*w[{0, 1}]^2*w[{0, 3}])/2 + (w[{0, 1}]*w[{0, 3}]^2)/4 + (uZeta[2]*w[{0, 5}])/8 - (w[{0, 1}]^2*w[{0, 5}])/4 - (67*w[{0, 7}])/480 - 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + (5*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}])/2 - (w[{0, 5}]*w[{0, 0, 2}])/4 + uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - (63*w[{0, 3}]*w[{0, 0, 4}])/80 - (w[{0, 1}]*w[{0, 0, 6}])/4 + 21*uZeta[6]*w[{0, 0, 0, 1}] + (109*uZeta[4]*w[{0, 0, 0, 3}])/40 + uZeta[2]*w[{0, 0, 0, 5}] + (11*w[{0, 0, 0, 7}])/40 - 3*uZeta[2]*w[{0, 0, 2, 3}] + (11*w[{0, 0, 2, 5}])/40 + (23*w[{0, 0, 4, 3}])/80,
 w[{0, 3, 3, 0, 1}] -> (-3*uZeta[3]*uZeta[4])/2 - (83*uZeta[6]*w[{0, 1}])/6 - (32*uZeta[4]*w[{0, 3}])/15 - (uZeta[2]*w[{0, 5}])/3 - w[{0, 7}]/30 - 6*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - (3*w[{0, 3}]*w[{0, 0, 4}])/10 + (w[{0, 1}]*w[{0, 0, 6}])/2 + 63*uZeta[6]*w[{0, 0, 0, 1}] + (64*uZeta[4]*w[{0, 0, 0, 3}])/5 + 4*uZeta[2]*w[{0, 0, 0, 5}] - (3*w[{0, 0, 0, 7}])/10 - 2*uZeta[2]*w[{0, 0, 2, 3}] + w[{0, 0, 2, 5}]/5 + (3*w[{0, 0, 4, 3}])/10,
 w[{0, 4, 0, 0, 3}] -> (uZeta[4]*w[{0, 3}])/4 - w[{0, 7}]/12 - (w[{0, 3}]*w[{0, 0, 4}])/2 - 3*uZeta[4]*w[{0, 0, 0, 3}] + w[{0, 0, 0, 7}]/2,
 w[{0, 4, 0, 1, 2}] -> (3*uZeta[3]*uZeta[4])/4 + (77*uZeta[6]*w[{0, 1}])/12 + (217*uZeta[4]*w[{0, 3}])/60 + (2*w[{0, 7}])/15 + (19*w[{0, 3}]*w[{0, 0, 4}])/20 - (77*uZeta[6]*w[{0, 0, 0, 1}])/2 - (101*uZeta[4]*w[{0, 0, 0, 3}])/5 - uZeta[2]*w[{0, 0, 0, 5}] - (21*w[{0, 0, 0, 7}])/20 + uZeta[2]*w[{0, 0, 2, 3}] + w[{0, 0, 2, 5}]/5 + w[{0, 0, 4, 3}]/20,
 w[{0, 4, 0, 2, 1}] -> uZeta[3]*uZeta[4] + (235*uZeta[6]*w[{0, 1}])/24 + (67*uZeta[4]*w[{0, 3}])/60 + (uZeta[2]*w[{0, 5}])/2 - (7*w[{0, 7}])/60 + 3*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - (4*w[{0, 3}]*w[{0, 0, 4}])/5 + (w[{0, 1}]*w[{0, 0, 6}])/2 - (77*uZeta[6]*w[{0, 0, 0, 1}])/2 - (41*uZeta[4]*w[{0, 0, 0, 3}])/5 - 6*uZeta[2]*w[{0, 0, 0, 5}] + (6*w[{0, 0, 0, 7}])/5 + 3*uZeta[2]*w[{0, 0, 2, 3}] - (3*w[{0, 0, 2, 5}])/10 - w[{0, 0, 4, 3}]/5,
 w[{0, 4, 1, 0, 2}] -> (-3*uZeta[3]*uZeta[4])/4 - (21*uZeta[6]*w[{0, 1}])/4 + (71*uZeta[4]*w[{0, 3}])/20 + (13*uZeta[2]*w[{0, 5}])/12 + w[{0, 7}]/30 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/2 + (w[{0, 3}]*w[{0, 0, 4}])/20 + (63*uZeta[6]*w[{0, 0, 0, 1}])/2 - (39*uZeta[4]*w[{0, 0, 0, 3}])/5 - 5*uZeta[2]*w[{0, 0, 0, 5}] + w[{0, 0, 0, 7}]/20 - uZeta[2]*w[{0, 0, 2, 3}] - w[{0, 0, 2, 5}]/5 - w[{0, 0, 4, 3}]/20,
 w[{0, 4, 1, 1, 1}] -> -(uZeta[3]*uZeta[4])/12 + (191*uZeta[6]*w[{0, 1}])/48 - (uZeta[4]*w[{0, 1}]^3)/6 + (199*uZeta[4]*w[{0, 3}])/72 - (uZeta[2]*w[{0, 1}]^2*w[{0, 3}])/2 + (w[{0, 1}]*w[{0, 3}]^2)/4 + (11*uZeta[2]*w[{0, 5}])/8 + (w[{0, 1}]^2*w[{0, 5}])/4 - (5*w[{0, 7}])/12 + (7*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}])/2 + (3*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}])/2 + (w[{0, 5}]*w[{0, 0, 2}])/4 + (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 - w[{0, 3}]*w[{0, 0, 4}] - (3*w[{0, 1}]*w[{0, 0, 6}])/4 - 7*uZeta[6]*w[{0, 0, 0, 1}] - (40*uZeta[4]*w[{0, 0, 0, 3}])/3 - 9*uZeta[2]*w[{0, 0, 0, 5}] + (13*w[{0, 0, 0, 7}])/4 + 2*uZeta[2]*w[{0, 0, 2, 3}] - w[{0, 0, 2, 5}]/2 - w[{0, 0, 4, 3}]/4,
 w[{0, 4, 2, 0, 1}] -> (-3*uZeta[3]*uZeta[4])/4 - (179*uZeta[6]*w[{0, 1}])/24 + (59*uZeta[4]*w[{0, 3}])/30 + (uZeta[2]*w[{0, 5}])/2 + w[{0, 7}]/30 - 3*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 3}]*w[{0, 0, 4}])/20 - (w[{0, 1}]*w[{0, 0, 6}])/2 + 35*uZeta[6]*w[{0, 0, 0, 1}] - (19*uZeta[4]*w[{0, 0, 0, 3}])/5 - uZeta[2]*w[{0, 0, 0, 5}] - (9*w[{0, 0, 0, 7}])/20 - 2*uZeta[2]*w[{0, 0, 2, 3}] + (3*w[{0, 0, 2, 5}])/10 - w[{0, 0, 4, 3}]/20,
 w[{0, 5, 0, 0, 2}] -> (uZeta[4]*w[{0, 3}])/2 + (uZeta[2]*w[{0, 5}])/2 + w[{0, 7}]/12 - 3*uZeta[4]*w[{0, 0, 0, 3}] - 3*uZeta[2]*w[{0, 0, 0, 5}] - w[{0, 0, 0, 7}]/2,
 w[{0, 5, 0, 1, 1}] -> (uZeta[3]*uZeta[4])/4 + (11*uZeta[6]*w[{0, 1}])/4 + (4*uZeta[4]*w[{0, 3}])/5 + (uZeta[2]*w[{0, 5}])/2 - (13*w[{0, 7}])/60 + uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - (9*w[{0, 3}]*w[{0, 0, 4}])/20 - (w[{0, 1}]*w[{0, 0, 6}])/2 - (21*uZeta[6]*w[{0, 0, 0, 1}])/2 - (24*uZeta[4]*w[{0, 0, 0, 3}])/5 - 4*uZeta[2]*w[{0, 0, 0, 5}] + (31*w[{0, 0, 0, 7}])/20 + uZeta[2]*w[{0, 0, 2, 3}] - w[{0, 0, 2, 5}]/5 - w[{0, 0, 4, 3}]/20,
 w[{0, 5, 1, 0, 1}] -> -(uZeta[3]*uZeta[4])/4 - (11*uZeta[6]*w[{0, 1}])/4 + (6*uZeta[4]*w[{0, 3}])/5 + (uZeta[2]*w[{0, 5}])/12 - (7*w[{0, 7}])/60 - uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - (w[{0, 3}]*w[{0, 0, 4}])/20 + (w[{0, 1}]*w[{0, 0, 6}])/2 + (21*uZeta[6]*w[{0, 0, 0, 1}])/2 - (16*uZeta[4]*w[{0, 0, 0, 3}])/5 - 2*uZeta[2]*w[{0, 0, 0, 5}] + (9*w[{0, 0, 0, 7}])/20 - uZeta[2]*w[{0, 0, 2, 3}] + w[{0, 0, 2, 5}]/5 + w[{0, 0, 4, 3}]/20,
 w[{0, 6, 0, 0, 1}] -> -(uZeta[6]*w[{0, 1}])/12 + (uZeta[4]*w[{0, 3}])/6 + (uZeta[2]*w[{0, 5}])/6 - w[{0, 7}]/12 - (w[{0, 1}]*w[{0, 0, 6}])/2 - uZeta[6]*w[{0, 0, 0, 1}] - uZeta[4]*w[{0, 0, 0, 3}] - uZeta[2]*w[{0, 0, 0, 5}] + w[{0, 0, 0, 7}]/2,
 w[{1, 0, 0, 0, 6}] -> -(uZeta[6]*w[{0, 1}])/4 - (w[{0, 1}]*w[{0, 0, 6}])/2 + uZeta[6]*w[{0, 0, 0, 1}],
 w[{1, 0, 0, 1, 5}] -> (-5*uZeta[6]*w[{0, 1}])/12 + (w[{0, 1}]*w[{0, 3}]^2)/4 - (5*w[{0, 1}]*w[{0, 0, 6}])/4,
 w[{1, 0, 0, 2, 4}] -> (13*uZeta[6]*w[{0, 1}])/24 - (uZeta[4]*w[{0, 3}])/6 + (w[{0, 1}]*w[{0, 3}]^2)/2 + uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - w[{0, 1}]*w[{0, 0, 6}] - (7*uZeta[6]*w[{0, 0, 0, 1}])/2 + uZeta[4]*w[{0, 0, 0, 3}],
 w[{1, 0, 0, 3, 3}] -> (5*uZeta[6]*w[{0, 1}])/3 - (w[{0, 1}]*w[{0, 3}]^2)/4 + 3*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 1}]*w[{0, 0, 6}])/4,
 w[{1, 0, 0, 4, 2}] -> (25*uZeta[6]*w[{0, 1}])/8 + (5*uZeta[4]*w[{0, 3}])/6 - (w[{0, 1}]*w[{0, 3}]^2)/2 - (uZeta[2]*w[{0, 5}])/6 + 3*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] + (3*w[{0, 1}]*w[{0, 0, 6}])/2 - (7*uZeta[6]*w[{0, 0, 0, 1}])/2 - 5*uZeta[4]*w[{0, 0, 0, 3}] + uZeta[2]*w[{0, 0, 0, 5}],
 w[{1, 0, 0, 5, 1}] -> (17*uZeta[6]*w[{0, 1}])/12 - (w[{0, 1}]*w[{0, 3}]^2)/4 - (w[{0, 1}]^2*w[{0, 5}])/2 + uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] + (3*w[{0, 1}]*w[{0, 0, 6}])/4,
 w[{1, 0, 1, 0, 5}] -> -(uZeta[6]*w[{0, 1}]) - (5*uZeta[2]*w[{0, 5}])/12 - uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] + (w[{0, 1}]*w[{0, 0, 6}])/2,
 w[{1, 0, 1, 1, 4}] -> (uZeta[3]*uZeta[4])/4 - (67*uZeta[6]*w[{0, 1}])/12 - 2*uZeta[4]*w[{0, 3}] - (w[{0, 1}]*w[{0, 3}]^2)/4 + (5*uZeta[2]*w[{0, 5}])/12 - 3*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/2 - (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 + (3*w[{0, 1}]*w[{0, 0, 6}])/4 + 21*uZeta[6]*w[{0, 0, 0, 1}] - (uZeta[4]*w[{0, 0, 0, 3}])/2,
 w[{1, 0, 1, 2, 3}] -> (2*uZeta[6]*w[{0, 1}])/3 + (w[{0, 1}]*w[{0, 3}]^2)/4 - (5*uZeta[2]*w[{0, 5}])/12 + 2*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] + (w[{0, 1}]*w[{0, 0, 6}])/4,
 w[{1, 0, 1, 3, 2}] -> (-5*uZeta[3]*uZeta[4])/4 - (35*uZeta[6]*w[{0, 1}])/24 + (5*uZeta[4]*w[{0, 3}])/4 + (uZeta[2]*w[{0, 5}])/4 + 10*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + (w[{0, 5}]*w[{0, 0, 2}])/2 + (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 + (105*uZeta[6]*w[{0, 0, 0, 1}])/2 - (15*uZeta[4]*w[{0, 0, 0, 3}])/2 + uZeta[2]*w[{0, 0, 2, 3}],
 w[{1, 0, 1, 4, 1}] -> (85*uZeta[6]*w[{0, 1}])/12 + (25*uZeta[4]*w[{0, 3}])/12 - uZeta[2]*w[{0, 1}]^2*w[{0, 3}] + (w[{0, 1}]*w[{0, 3}]^2)/2 - (5*uZeta[2]*w[{0, 5}])/12 + (w[{0, 1}]^2*w[{0, 5}])/2 + 8*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 + 5*uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - (3*w[{0, 1}]*w[{0, 0, 6}])/2,
 w[{1, 0, 2, 0, 4}] -> -(uZeta[3]*uZeta[4])/4 - (109*uZeta[6]*w[{0, 1}])/24 + (uZeta[4]*w[{0, 3}])/12 - 5*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 1}]*w[{0, 0, 6}])/2 + 7*uZeta[6]*w[{0, 0, 0, 1}] - (uZeta[4]*w[{0, 0, 0, 3}])/2,
 w[{1, 0, 2, 1, 3}] -> (-85*uZeta[6]*w[{0, 1}])/12 - (w[{0, 1}]*w[{0, 3}]^2)/4 - 12*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - (w[{0, 1}]*w[{0, 0, 6}])/4,
 w[{1, 0, 2, 2, 2}] -> (-5*uZeta[3]*uZeta[4])/4 - (21*uZeta[6]*w[{0, 1}])/2 - (5*uZeta[4]*w[{0, 3}])/12 - (uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 + 70*uZeta[6]*w[{0, 0, 0, 1}] + (5*uZeta[4]*w[{0, 0, 0, 3}])/2,
 w[{1, 0, 2, 3, 1}] -> (77*uZeta[6]*w[{0, 1}])/12 - (w[{0, 1}]^2*w[{0, 5}])/2 + 10*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 1}]*w[{0, 0, 4}],
 w[{1, 0, 3, 0, 3}] -> (-10*uZeta[6]*w[{0, 1}])/3 + (2*uZeta[4]*w[{0, 3}])/3 - 6*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 4}])/2 + (w[{0, 1}]*w[{0, 0, 6}])/2,
 w[{1, 0, 3, 1, 2}] -> (-5*uZeta[3]*uZeta[4])/4 - (457*uZeta[6]*w[{0, 1}])/24 - 4*uZeta[4]*w[{0, 3}] + (w[{0, 1}]*w[{0, 3}]^2)/4 + (uZeta[2]*w[{0, 5}])/2 - 17*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - (uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 + (w[{0, 3}]*w[{0, 0, 4}])/2 - (w[{0, 1}]*w[{0, 0, 6}])/4 + (105*uZeta[6]*w[{0, 0, 0, 1}])/2 + (65*uZeta[4]*w[{0, 0, 0, 3}])/2 - 4*uZeta[2]*w[{0, 0, 0, 5}] + uZeta[2]*w[{0, 0, 2, 3}],
 w[{1, 0, 3, 2, 1}] -> (-5*uZeta[6]*w[{0, 1}])/3 + (2*uZeta[4]*w[{0, 3}])/3 + uZeta[2]*w[{0, 1}]^2*w[{0, 3}] - (w[{0, 1}]*w[{0, 3}]^2)/4 + (w[{0, 1}]^2*w[{0, 5}])/2 - 3*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 4}])/2 + (w[{0, 1}]*w[{0, 0, 6}])/4,
 w[{1, 0, 4, 0, 2}] -> (-67*uZeta[6]*w[{0, 1}])/24 - (5*uZeta[4]*w[{0, 3}])/3 - 3*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - 2*uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - (w[{0, 1}]*w[{0, 0, 6}])/2 - (7*uZeta[6]*w[{0, 0, 0, 1}])/2 + 10*uZeta[4]*w[{0, 0, 0, 3}] + uZeta[2]*w[{0, 0, 0, 5}] - uZeta[2]*w[{0, 0, 2, 3}],
 w[{1, 0, 4, 1, 1}] -> (-45*uZeta[6]*w[{0, 1}])/16 + (uZeta[4]*w[{0, 1}]^3)/2 + uZeta[2]*w[{0, 1}]^2*w[{0, 3}] - (w[{0, 1}]*w[{0, 3}]^2)/4 - (w[{0, 1}]^2*w[{0, 5}])/2 - (7*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}])/2 - (5*uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 + (3*w[{0, 1}]*w[{0, 0, 6}])/4,
 w[{1, 1, 0, 0, 5}] -> (5*uZeta[2]*w[{0, 5}])/24 + (w[{0, 1}]^2*w[{0, 5}])/4 + (w[{0, 5}]*w[{0, 0, 2}])/4,
 w[{1, 1, 0, 1, 4}] -> -(uZeta[3]*uZeta[4])/4 + (49*uZeta[6]*w[{0, 1}])/24 + (23*uZeta[4]*w[{0, 3}])/24 + (uZeta[2]*w[{0, 1}]^2*w[{0, 3}])/2 - (5*uZeta[2]*w[{0, 5}])/24 - (w[{0, 1}]^2*w[{0, 5}])/4 - uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 3}]*w[{0, 0, 2}])/2 - (w[{0, 5}]*w[{0, 0, 2}])/4 - 21*uZeta[6]*w[{0, 0, 0, 1}] + (uZeta[4]*w[{0, 0, 0, 3}])/2,
 w[{1, 1, 0, 2, 3}] -> (5*uZeta[2]*w[{0, 5}])/24 + (w[{0, 1}]^2*w[{0, 5}])/4 + (w[{0, 5}]*w[{0, 0, 2}])/4,
 w[{1, 1, 0, 3, 2}] -> (5*uZeta[3]*uZeta[4])/4 + (133*uZeta[6]*w[{0, 1}])/12 + (25*uZeta[4]*w[{0, 3}])/24 - (uZeta[2]*w[{0, 1}]^2*w[{0, 3}])/2 - (3*uZeta[2]*w[{0, 5}])/8 - (w[{0, 1}]^2*w[{0, 5}])/4 + 5*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - (uZeta[2]*w[{0, 3}]*w[{0, 0, 2}])/2 - (w[{0, 5}]*w[{0, 0, 2}])/4 - uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - (105*uZeta[6]*w[{0, 0, 0, 1}])/2 - (25*uZeta[4]*w[{0, 0, 0, 3}])/2 + 2*uZeta[2]*w[{0, 0, 0, 5}] - uZeta[2]*w[{0, 0, 2, 3}],
 w[{1, 1, 0, 4, 1}] -> (-35*uZeta[6]*w[{0, 1}])/48 - (uZeta[4]*w[{0, 1}]^3)/2 - (25*uZeta[4]*w[{0, 3}])/24 - (uZeta[2]*w[{0, 1}]^2*w[{0, 3}])/2 + (5*uZeta[2]*w[{0, 5}])/24 + (w[{0, 1}]^2*w[{0, 5}])/4 - (uZeta[4]*w[{0, 1}]*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 3}]*w[{0, 0, 2}])/2 + (w[{0, 5}]*w[{0, 0, 2}])/4,
 w[{1, 1, 1, 0, 4}] -> (uZeta[3]*uZeta[4])/12 - (7*uZeta[6]*w[{0, 1}])/16 + (uZeta[4]*w[{0, 1}]^3)/6 + (uZeta[4]*w[{0, 3}])/36 + (uZeta[4]*w[{0, 1}]*w[{0, 0, 2}])/2 + 7*uZeta[6]*w[{0, 0, 0, 1}] - (uZeta[4]*w[{0, 0, 0, 3}])/6,
 w[{1, 1, 1, 1, 3}] -> 0,
 w[{1, 1, 1, 2, 2}] -> (-5*uZeta[3]*uZeta[4])/12 + (371*uZeta[6]*w[{0, 1}])/48 - (5*uZeta[4]*w[{0, 1}]^3)/6 + (185*uZeta[4]*w[{0, 3}])/72 + (uZeta[2]*w[{0, 1}]^2*w[{0, 3}])/2 - (uZeta[2]*w[{0, 5}])/6 + (15*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 3}]*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 - 35*uZeta[6]*w[{0, 0, 0, 1}] - (55*uZeta[4]*w[{0, 0, 0, 3}])/6 + 3*uZeta[2]*w[{0, 0, 0, 5}] - 2*uZeta[2]*w[{0, 0, 2, 3}],
 w[{1, 1, 1, 3, 1}] -> 0,
 w[{1, 1, 2, 0, 3}] -> (13*uZeta[4]*w[{0, 3}])/24 - (uZeta[2]*w[{0, 1}]^2*w[{0, 3}])/2 + (w[{0, 1}]*w[{0, 3}]^2)/2 + (3*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}])/2 - (w[{0, 3}]*w[{0, 0, 4}])/4,
 w[{1, 1, 2, 1, 2}] -> (5*uZeta[3]*uZeta[4])/4 - (511*uZeta[6]*w[{0, 1}])/24 - (33*uZeta[4]*w[{0, 3}])/4 - (w[{0, 1}]*w[{0, 3}]^2)/2 + (uZeta[2]*w[{0, 5}])/2 - 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] + (w[{0, 3}]*w[{0, 0, 4}])/4 + 105*uZeta[6]*w[{0, 0, 0, 1}] + (55*uZeta[4]*w[{0, 0, 0, 3}])/2 - 9*uZeta[2]*w[{0, 0, 0, 5}] + 6*uZeta[2]*w[{0, 0, 2, 3}],
 w[{1, 1, 2, 2, 1}] -> (-91*uZeta[6]*w[{0, 1}])/48 + (5*uZeta[4]*w[{0, 1}]^3)/2 + (13*uZeta[4]*w[{0, 3}])/24 - (3*uZeta[2]*w[{0, 1}]^2*w[{0, 3}])/2 + (w[{0, 1}]*w[{0, 3}]^2)/2 - (15*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}])/2 + (3*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}])/2 + (uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 - (w[{0, 3}]*w[{0, 0, 4}])/4,
 w[{1, 1, 3, 0, 2}] -> (-77*uZeta[6]*w[{0, 1}])/24 - (55*uZeta[4]*w[{0, 3}])/24 + (uZeta[2]*w[{0, 1}]^2*w[{0, 3}])/2 - (uZeta[2]*w[{0, 5}])/6 - 5*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 3}]*w[{0, 0, 2}])/2 - (uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 + 20*uZeta[4]*w[{0, 0, 0, 3}] + 3*uZeta[2]*w[{0, 0, 0, 5}] - 2*uZeta[2]*w[{0, 0, 2, 3}],
 w[{1, 2, 0, 0, 4}] -> (35*uZeta[6]*w[{0, 1}])/24 + (uZeta[4]*w[{0, 3}])/12 + uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - (w[{0, 3}]*w[{0, 0, 4}])/2 - (7*uZeta[6]*w[{0, 0, 0, 1}])/2 - uZeta[4]*w[{0, 0, 0, 3}],
 w[{1, 2, 0, 1, 3}] -> (7*uZeta[6]*w[{0, 1}])/8 - (uZeta[4]*w[{0, 3}])/4 + (3*uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 - (3*w[{0, 3}]*w[{0, 0, 4}])/4,
 w[{1, 2, 0, 2, 2}] -> (5*uZeta[3]*uZeta[4])/2 + (49*uZeta[6]*w[{0, 1}])/3 + (4*uZeta[4]*w[{0, 3}])/3 + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 + (w[{0, 3}]*w[{0, 0, 4}])/4 - (175*uZeta[6]*w[{0, 0, 0, 1}])/2 - 5*uZeta[4]*w[{0, 0, 0, 3}] + uZeta[2]*w[{0, 0, 0, 5}] - uZeta[2]*w[{0, 0, 2, 3}],
 w[{1, 2, 0, 3, 1}] -> (-77*uZeta[6]*w[{0, 1}])/24 + (11*uZeta[4]*w[{0, 3}])/12 + uZeta[2]*w[{0, 1}]^2*w[{0, 3}] - (w[{0, 1}]*w[{0, 3}]^2)/2 - 5*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 + (w[{0, 3}]*w[{0, 0, 4}])/4,
 w[{1, 2, 1, 0, 3}] -> (7*uZeta[6]*w[{0, 1}])/3 - (7*uZeta[4]*w[{0, 3}])/4 - (w[{0, 1}]*w[{0, 3}]^2)/2 + 5*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - 4*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] + w[{0, 3}]*w[{0, 0, 4}],
 w[{1, 2, 1, 1, 2}] -> (-5*uZeta[3]*uZeta[4])/4 + (511*uZeta[6]*w[{0, 1}])/24 + (33*uZeta[4]*w[{0, 3}])/4 + (w[{0, 1}]*w[{0, 3}]^2)/2 - (uZeta[2]*w[{0, 5}])/2 + 15*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + 3*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - (w[{0, 3}]*w[{0, 0, 4}])/4 - 105*uZeta[6]*w[{0, 0, 0, 1}] - (55*uZeta[4]*w[{0, 0, 0, 3}])/2 + 9*uZeta[2]*w[{0, 0, 0, 5}] - 6*uZeta[2]*w[{0, 0, 2, 3}],
 w[{1, 2, 2, 0, 2}] -> (-5*uZeta[3]*uZeta[4])/4 - (119*uZeta[6]*w[{0, 1}])/12 - (8*uZeta[4]*w[{0, 3}])/3 + (uZeta[2]*w[{0, 5}])/3 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 - (w[{0, 3}]*w[{0, 0, 4}])/2 + 70*uZeta[6]*w[{0, 0, 0, 1}] + (5*uZeta[4]*w[{0, 0, 0, 3}])/2 - 7*uZeta[2]*w[{0, 0, 0, 5}] + 5*uZeta[2]*w[{0, 0, 2, 3}],
 w[{1, 3, 0, 0, 3}] -> (-11*uZeta[4]*w[{0, 3}])/12 + (w[{0, 1}]*w[{0, 3}]^2)/2 - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 4}])/4,
 w[{1, 3, 0, 1, 2}] -> (5*uZeta[3]*uZeta[4])/4 + (133*uZeta[6]*w[{0, 1}])/12 + (17*uZeta[4]*w[{0, 3}])/4 - (w[{0, 1}]*w[{0, 3}]^2)/2 - (uZeta[2]*w[{0, 5}])/2 + 5*uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] - uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] + (w[{0, 3}]*w[{0, 0, 4}])/4 - (105*uZeta[6]*w[{0, 0, 0, 1}])/2 - (65*uZeta[4]*w[{0, 0, 0, 3}])/2 + 4*uZeta[2]*w[{0, 0, 0, 5}] - uZeta[2]*w[{0, 0, 2, 3}],
 w[{1, 3, 1, 0, 2}] -> (-5*uZeta[3]*uZeta[4])/4 - (63*uZeta[6]*w[{0, 1}])/8 + (5*uZeta[4]*w[{0, 3}])/4 + (5*uZeta[2]*w[{0, 5}])/6 + (3*uZeta[2]*w[{0, 1}]*w[{0, 0, 4}])/2 + (105*uZeta[6]*w[{0, 0, 0, 1}])/2 - (15*uZeta[4]*w[{0, 0, 0, 3}])/2 - 10*uZeta[2]*w[{0, 0, 0, 5}] + 5*uZeta[2]*w[{0, 0, 2, 3}],
 w[{1, 4, 0, 0, 2}] -> (35*uZeta[6]*w[{0, 1}])/24 + (25*uZeta[4]*w[{0, 3}])/12 + (5*uZeta[2]*w[{0, 5}])/12 + uZeta[4]*w[{0, 1}]*w[{0, 0, 2}] + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 + uZeta[2]*w[{0, 1}]*w[{0, 0, 4}] - (7*uZeta[6]*w[{0, 0, 0, 1}])/2 - 5*uZeta[4]*w[{0, 0, 0, 3}] - 3*uZeta[2]*w[{0, 0, 0, 5}],
 w[{2, 0, 0, 0, 5}] -> (uZeta[2]*w[{0, 5}])/4 + (w[{0, 5}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 0, 0, 5}],
 w[{2, 0, 0, 1, 4}] -> (7*uZeta[6]*w[{0, 1}])/6 + (17*uZeta[4]*w[{0, 3}])/12 + (uZeta[2]*w[{0, 5}])/4 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 - 7*uZeta[6]*w[{0, 0, 0, 1}] - uZeta[4]*w[{0, 0, 0, 3}] - uZeta[2]*w[{0, 0, 0, 5}] - uZeta[2]*w[{0, 0, 2, 3}],
 w[{2, 0, 0, 2, 3}] -> (uZeta[2]*w[{0, 5}])/4 + (w[{0, 5}]*w[{0, 0, 2}])/2 - uZeta[2]*w[{0, 0, 2, 3}],
 w[{2, 0, 0, 3, 2}] -> (-5*uZeta[4]*w[{0, 3}])/4 - (5*uZeta[2]*w[{0, 5}])/12 - 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 5}]*w[{0, 0, 2}])/2 + 3*uZeta[2]*w[{0, 0, 0, 5}] - uZeta[2]*w[{0, 0, 2, 3}],
 w[{2, 0, 1, 0, 4}] -> -(uZeta[3]*uZeta[4])/4 - (7*uZeta[6]*w[{0, 1}])/4 - (uZeta[4]*w[{0, 3}])/4 + (uZeta[2]*w[{0, 5}])/3 + (21*uZeta[6]*w[{0, 0, 0, 1}])/2 + (3*uZeta[4]*w[{0, 0, 0, 3}])/2 - 3*uZeta[2]*w[{0, 0, 0, 5}] + uZeta[2]*w[{0, 0, 2, 3}],
 w[{2, 0, 1, 1, 3}] -> (uZeta[2]*w[{0, 5}])/2 - 5*uZeta[2]*w[{0, 0, 0, 5}] + 2*uZeta[2]*w[{0, 0, 2, 3}],
 w[{2, 0, 1, 2, 2}] -> (5*uZeta[4]*w[{0, 3}])/4 - (uZeta[2]*w[{0, 5}])/3 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + 7*uZeta[2]*w[{0, 0, 0, 5}] - 5*uZeta[2]*w[{0, 0, 2, 3}],
 w[{2, 0, 2, 0, 3}] -> (9*uZeta[4]*w[{0, 3}])/4 + (uZeta[2]*w[{0, 5}])/6 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] + (w[{0, 3}]*w[{0, 0, 4}])/2 - 3*uZeta[2]*w[{0, 0, 0, 5}] + 2*uZeta[2]*w[{0, 0, 2, 3}],
 w[{2, 0, 2, 1, 2}] -> (-5*uZeta[3]*uZeta[4])/2 - (70*uZeta[6]*w[{0, 1}])/3 - (13*uZeta[4]*w[{0, 3}])/3 + (2*uZeta[2]*w[{0, 5}])/3 - 4*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 4}])/2 + 140*uZeta[6]*w[{0, 0, 0, 1}] + 5*uZeta[4]*w[{0, 0, 0, 3}] - 14*uZeta[2]*w[{0, 0, 0, 5}] + 10*uZeta[2]*w[{0, 0, 2, 3}],
 w[{2, 1, 0, 0, 4}] -> (uZeta[3]*uZeta[4])/4 + (7*uZeta[6]*w[{0, 1}])/12 + (5*uZeta[4]*w[{0, 3}])/6 - (uZeta[2]*w[{0, 5}])/6 + (w[{0, 3}]*w[{0, 0, 4}])/2 - (7*uZeta[6]*w[{0, 0, 0, 1}])/2 - (9*uZeta[4]*w[{0, 0, 0, 3}])/2 + uZeta[2]*w[{0, 0, 0, 5}],
 w[{2, 1, 0, 1, 3}] -> (-5*uZeta[3]*uZeta[4])/4 - (35*uZeta[6]*w[{0, 1}])/4 + (3*uZeta[4]*w[{0, 3}])/2 - (uZeta[2]*w[{0, 5}])/6 + (3*w[{0, 3}]*w[{0, 0, 4}])/4 + (105*uZeta[6]*w[{0, 0, 0, 1}])/2 - (15*uZeta[4]*w[{0, 0, 0, 3}])/2 + uZeta[2]*w[{0, 0, 2, 3}],
 w[{2, 1, 0, 2, 2}] -> (-5*uZeta[3]*uZeta[4])/4 - (35*uZeta[6]*w[{0, 1}])/12 - (11*uZeta[4]*w[{0, 3}])/12 - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 4}])/4 + (35*uZeta[6]*w[{0, 0, 0, 1}])/2 + (5*uZeta[4]*w[{0, 0, 0, 3}])/2 - uZeta[2]*w[{0, 0, 0, 5}] + uZeta[2]*w[{0, 0, 2, 3}],
 w[{2, 1, 1, 0, 3}] -> (5*uZeta[3]*uZeta[4])/4 + (35*uZeta[6]*w[{0, 1}])/4 + (9*uZeta[4]*w[{0, 3}])/4 - (uZeta[2]*w[{0, 5}])/6 + 2*uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (3*w[{0, 3}]*w[{0, 0, 4}])/4 - (105*uZeta[6]*w[{0, 0, 0, 1}])/2 - (25*uZeta[4]*w[{0, 0, 0, 3}])/2 + 2*uZeta[2]*w[{0, 0, 0, 5}] - uZeta[2]*w[{0, 0, 2, 3}],
 w[{2, 2, 0, 0, 3}] -> -(uZeta[4]*w[{0, 3}])/2 + (uZeta[2]*w[{0, 5}])/6 - uZeta[2]*w[{0, 3}]*w[{0, 0, 2}] - (w[{0, 3}]*w[{0, 0, 4}])/4 - uZeta[2]*w[{0, 0, 0, 5}],
 w[{3, 0, 0, 0, 4}] -> -(uZeta[4]*w[{0, 3}])/4 - (w[{0, 3}]*w[{0, 0, 4}])/2 + uZeta[4]*w[{0, 0, 0, 3}],
 w[{3, 0, 0, 1, 3}] -> -(uZeta[4]*w[{0, 3}])/4 - (3*w[{0, 3}]*w[{0, 0, 4}])/4
}