Coxeter on affine E7 trying to compute P_{1,w}; ultimately interested in

w=72642 73145  63245 32413  12725 65423  54236 54137  24627

Length   Time   Memory
10	 .005
20	 .122
25	 .672
30	5.371	132M
31	7.691	187M
32	8.938	212M
33     25.871	232M
34     22.663	245M
35     43.021	295M
36     48.346	368M     		
37     57.359	387M
38    130.825	516M
39    159.941	683M
40    270.592	926M
41
42    758.474  1476M
43   1046.542  1753M  BROKE
44
45

desktop: failed at length 43 "error in the computation of the KL pol
(x = %0, y = %5699791). 2542M memory. Length 42 poly had coeff 57615;
maybe broke 65536?

Computed P_{first 10, 43}; biggest coeff 48523.  Error in P_{first 9,43}.

long KL coeffs:

30      5.292	132M
35     42.692	295M
40    268.348	926M
41    372.019  1122M
42    750.422  1484M
43   2168      1801M
44
45  2587.994   2051M

6q^16 + 246q^15 + 2550q^14 + 12385q^13 + 35886q^12 + 69006q^11
+94600q^10 + 97273q^9 + 77704q^8 + 49366q^7 + 25241q^6 + 10392q^5 +
3400q^4 + 855q^3 + 155q^2 + 18q + 1

final answer:

q^18 + 7q^17 + 146q^16 + 1470q^15 + 7593q^14 + 24061q^13 + 51771q^12 +
80820q^11 + 95815q^10 + 89190q^9 + 66742q^8 + 40739q^7 + 20432q^6 +
8400q^5 + 2789q^4 + 724q^3 + 138q^2 + 17q + 1
