sints_in = (((-2, 1, 2, 2, 2, 0), (0, 0, 0), (0, 0, 0)), ((-2, 2, 0, 3, 2, 0), \
(0, 0, 0), (0, 0, 0)), ((-2, 2, 1, 2, 2, 0), (0, 0, 0), (0, 0, 0)), \
((-2, 2, 2, 1, 2, 0), (0, 0, 0), (0, 0, 0)), ((-1, 0, 2, 0, 2, 2), \
(0, 0, 0), (0, 0, 0)), ((-1, 0, 2, 1, 1, 2), (0, 0, 0), (0, 0, 0)), \
((-1, 0, 2, 1, 2, 1), (0, 0, 0), (0, 0, 0)), ((-1, 0, 2, 2, 2, 0), \
(0, 0, 0), (0, 0, 0)), ((-1, 1, 0, 3, 2, 0), (0, 0, 0), (0, 0, 0)), \
((-1, 1, 1, 0, 2, 2), (0, 0, 0), (0, 0, 0)), ((-1, 1, 1, 1, 1, 2), \
(0, 0, 0), (0, 0, 0)), ((-1, 1, 1, 1, 2, 1), (0, 0, 0), (0, 0, 0)), \
((-1, 1, 1, 2, 1, 1), (0, 0, 0), (0, 0, 0)), ((-1, 1, 1, 2, 2, 0), \
(0, 0, 0), (0, 0, 0)), ((-1, 1, 2, 0, 2, 1), (0, 0, 0), (0, 0, 0)), \
((-1, 1, 2, 1, 1, 1), (0, 0, 0), (0, 0, 0)), ((-1, 1, 2, 1, 2, 0), \
(0, 0, 0), (0, 0, 0)), ((-1, 1, 2, 2, 1, 0), (0, 0, 0), (0, 0, 0)), \
((-1, 1, 2, 2, 2, -1), (0, 0, 0), (0, 0, 0)), ((-1, 2, 0, 0, 2, 2), \
(0, 0, 0), (0, 0, 0)), ((-1, 2, 0, 1, 1, 2), (0, 0, 0), (0, 0, 0)), \
((-1, 2, 0, 1, 2, 1), (0, 0, 0), (0, 0, 0)), ((-1, 2, 0, 2, 1, 1), \
(0, 0, 0), (0, 0, 0)), ((-1, 2, 0, 2, 2, 0), (0, 0, 0), (0, 0, 0)), \
((-1, 2, 0, 3, 0, 1), (0, 0, 0), (0, 0, 0)), ((-1, 2, 0, 3, 1, 0), \
(0, 0, 0), (0, 0, 0)), ((-1, 2, 0, 3, 2, -1), (0, 0, 0), (0, 0, 0)), \
((-1, 2, 0, 4, 0, 0), (0, 0, 0), (0, 0, 0)), ((-1, 2, 0, 4, 1, -1), \
(0, 0, 0), (0, 0, 0)), ((-1, 2, 0, 4, 2, -2), (0, 0, 0), (0, 0, 0)), \
((-1, 2, 1, 0, 2, 1), (0, 0, 0), (0, 0, 0)), ((-1, 2, 1, 1, 1, 1), \
(0, 0, 0), (0, 0, 0)), ((-1, 2, 1, 1, 2, 0), (0, 0, 0), (0, 0, 0)), \
((-1, 2, 1, 2, 1, 0), (0, 0, 0), (0, 0, 0)), ((-1, 2, 2, 0, 2, 0), \
(0, 0, 0), (0, 0, 0)), ((-1, 2, 2, 1, 1, 0), (0, 0, 0), (0, 0, 0)), \
((-1, 2, 2, 1, 2, -1), (0, 0, 0), (0, 0, 0)), ((-1, 3, 0, 2, 1, 0), \
(0, 0, 0), (0, 0, 0)), ((0, -1, 2, 0, 2, 2), (0, 0, 0), (0, 0, 0)), \
((0, -1, 2, 1, 1, 2), (0, 0, 0), (0, 0, 0)), ((0, -1, 2, 1, 2, 1), \
(0, 0, 0), (0, 0, 0)), ((0, -1, 2, 2, 2, 0), (0, 0, 0), (0, 0, 0)), \
((0, 0, 0, 3, 2, 0), (0, 0, 0), (0, 0, 0)), ((0, 0, 1, 0, 2, 2), (0, \
0, 0), (0, 0, 0)), ((0, 0, 1, 1, 1, 2), (0, 0, 0), (0, 0, 0)), ((0, \
0, 1, 1, 2, 1), (0, 0, 0), (0, 0, 0)), ((0, 0, 1, 2, 1, 1), (0, 0, \
0), (0, 0, 0)), ((0, 0, 1, 2, 2, 0), (0, 0, 0), (0, 0, 0)), ((0, 0, \
2, -1, 2, 2), (0, 0, 0), (0, 0, 0)), ((0, 0, 2, 0, 1, 2), (0, 0, 0), \
(0, 0, 0)), ((0, 0, 2, 0, 2, 1), (0, 0, 0), (0, 0, 0)), ((0, 0, 2, 1, \
1, 1), (0, 0, 0), (0, 0, 0)), ((0, 0, 2, 1, 2, 0), (0, 0, 0), (0, 0, \
0)), ((0, 0, 2, 2, 1, 0), (0, 0, 0), (0, 0, 0)), ((0, 0, 2, 2, 2, \
-1), (0, 0, 0), (0, 0, 0)), ((0, 1, 0, 1, 1, 2), (0, 0, 0), (0, 0, \
0)), ((0, 1, 0, 1, 2, 1), (0, 0, 0), (0, 0, 0)), ((0, 1, 0, 2, 1, 1), \
(0, 0, 0), (0, 0, 0)), ((0, 1, 0, 2, 2, 0), (0, 0, 0), (0, 0, 0)), \
((0, 1, 0, 3, 0, 1), (0, 0, 0), (0, 0, 0)), ((0, 1, 0, 3, 1, 0), (0, \
0, 0), (0, 0, 0)), ((0, 1, 0, 3, 2, -1), (0, 0, 0), (0, 0, 0)), ((0, \
1, 0, 4, 0, 0), (0, 0, 0), (0, 0, 0)), ((0, 1, 0, 4, 1, -1), (0, 0, \
0), (0, 0, 0)), ((0, 1, 0, 4, 2, -2), (0, 0, 0), (0, 0, 0)), ((0, 1, \
1, -1, 2, 2), (0, 0, 0), (0, 0, 0)), ((0, 1, 1, 0, 1, 2), (0, 0, 0), \
(0, 0, 0)), ((0, 1, 1, 0, 2, 1), (0, 0, 0), (0, 0, 0)), ((0, 1, 1, 1, \
0, 2), (0, 0, 0), (0, 0, 0)), ((0, 1, 1, 1, 1, 1), (0, 0, 0), (0, 0, \
0)), ((0, 1, 1, 1, 2, 0), (0, 0, 0), (0, 0, 0)), ((0, 1, 1, 2, 0, 1), \
(0, 0, 0), (0, 0, 0)), ((0, 1, 1, 2, 1, 0), (0, 0, 0), (0, 0, 0)), \
((0, 1, 1, 2, 2, -1), (0, 0, 0), (0, 0, 0)), ((0, 1, 2, -1, 2, 1), \
(0, 0, 0), (0, 0, 0)), ((0, 1, 2, 0, 1, 1), (0, 0, 0), (0, 0, 0)), \
((0, 1, 2, 0, 2, 0), (0, 0, 0), (0, 0, 0)), ((0, 1, 2, 1, 0, 1), (0, \
0, 0), (0, 0, 0)), ((0, 1, 2, 1, 1, 0), (0, 0, 0), (0, 0, 0)), ((0, \
1, 2, 1, 2, -1), (0, 0, 0), (0, 0, 0)), ((0, 1, 2, 2, 1, -1), (0, 0, \
0), (0, 0, 0)), ((0, 2, -1, 0, 2, 2), (0, 0, 0), (0, 0, 0)), ((0, 2, \
-1, 1, 1, 2), (0, 0, 0), (0, 0, 0)), ((0, 2, -1, 1, 2, 1), (0, 0, 0), \
(0, 0, 0)), ((0, 2, -1, 2, 1, 1), (0, 0, 0), (0, 0, 0)), ((0, 2, -1, \
2, 2, 0), (0, 0, 0), (0, 0, 0)), ((0, 2, -1, 3, 1, 0), (0, 0, 0), (0, \
0, 0)), ((0, 2, -1, 3, 2, -1), (0, 0, 0), (0, 0, 0)), ((0, 2, 0, -1, \
2, 2), (0, 0, 0), (0, 0, 0)), ((0, 2, 0, 0, 2, 1), (0, 0, 0), (0, 0, \
0)), ((0, 2, 0, 1, 0, 2), (0, 0, 0), (0, 0, 0)), ((0, 2, 0, 1, 1, 1), \
(0, 0, 0), (0, 0, 0)), ((0, 2, 0, 1, 2, 0), (0, 0, 0), (0, 0, 0)), \
((0, 2, 0, 2, 0, 1), (0, 0, 0), (0, 0, 0)), ((0, 2, 0, 2, 1, 0), (0, \
0, 0), (0, 0, 0)), ((0, 2, 0, 2, 2, -1), (0, 0, 0), (0, 0, 0)), ((0, \
2, 0, 3, 0, 0), (0, 0, 0), (0, 0, 0)), ((0, 2, 0, 3, 2, -2), (0, 0, \
0), (0, 0, 0)), ((0, 2, 1, -1, 2, 1), (0, 0, 0), (0, 0, 0)), ((0, 2, \
1, 0, 1, 1), (0, 0, 0), (0, 0, 0)), ((0, 2, 1, 0, 2, 0), (0, 0, 0), \
(0, 0, 0)), ((0, 2, 1, 1, 0, 1), (0, 0, 0), (0, 0, 0)), ((0, 2, 1, 1, \
1, 0), (0, 0, 0), (0, 0, 0)), ((0, 2, 1, 1, 2, -1), (0, 0, 0), (0, 0, \
0)), ((0, 2, 1, 2, 0, 0), (0, 0, 0), (0, 0, 0)), ((0, 2, 1, 2, 1, \
-1), (0, 0, 0), (0, 0, 0)), ((0, 2, 2, -1, 2, 0), (0, 0, 0), (0, 0, \
0)), ((0, 2, 2, 0, 1, 0), (0, 0, 0), (0, 0, 0)), ((0, 2, 2, 0, 2, \
-1), (0, 0, 0), (0, 0, 0)), ((0, 2, 2, 1, 0, 0), (0, 0, 0), (0, 0, \
0)), ((0, 2, 2, 1, 1, -1), (0, 0, 0), (0, 0, 0)), ((0, 2, 2, 1, 2, \
-2), (0, 0, 0), (0, 0, 0)), ((0, 3, 0, 1, 0, 1), (0, 0, 0), (0, 0, \
0)), ((0, 3, 0, 1, 1, 0), (0, 0, 0), (0, 0, 0)), ((0, 3, 1, 1, 0, 0), \
(0, 0, 0), (0, 0, 0)), ((1, -2, 2, 1, 1, 2), (0, 0, 0), (0, 0, 0)), \
((1, -1, 0, 3, 2, 0), (0, 0, 0), (0, 0, 0)), ((1, -1, 1, 1, 1, 2), \
(0, 0, 0), (0, 0, 0)), ((1, -1, 1, 2, 1, 1), (0, 0, 0), (0, 0, 0)), \
((1, -1, 1, 2, 2, 0), (0, 0, 0), (0, 0, 0)), ((1, -1, 2, 0, 1, 2), \
(0, 0, 0), (0, 0, 0)), ((1, -1, 2, 1, 0, 2), (0, 0, 0), (0, 0, 0)), \
((1, -1, 2, 1, 1, 1), (0, 0, 0), (0, 0, 0)), ((1, -1, 2, 2, 1, 0), \
(0, 0, 0), (0, 0, 0)), ((1, 0, 0, 0, 2, 2), (0, 0, 0), (0, 0, 0)), \
((1, 0, 0, 1, 1, 2), (0, 0, 0), (0, 0, 0)), ((1, 0, 0, 1, 2, 1), (0, \
0, 0), (0, 0, 0)), ((1, 0, 0, 2, 1, 1), (0, 0, 0), (0, 0, 0)), ((1, \
0, 0, 2, 2, 0), (0, 0, 0), (0, 0, 0)), ((1, 0, 0, 3, 0, 1), (0, 0, \
0), (0, 0, 0)), ((1, 0, 0, 3, 1, 0), (0, 0, 0), (0, 0, 0)), ((1, 0, \
0, 3, 2, -1), (0, 0, 0), (0, 0, 0)), ((1, 0, 0, 4, 0, 0), (0, 0, 0), \
(0, 0, 0)), ((1, 0, 0, 4, 1, -1), (0, 0, 0), (0, 0, 0)), ((1, 0, 0, \
4, 2, -2), (0, 0, 0), (0, 0, 0)), ((1, 0, 1, -1, 2, 2), (0, 0, 0), \
(0, 0, 0)), ((1, 0, 1, 0, 1, 2), (0, 0, 0), (0, 0, 0)), ((1, 0, 1, 0, \
2, 1), (0, 0, 0), (0, 0, 0)), ((1, 0, 1, 1, 0, 2), (0, 0, 0), (0, 0, \
0)), ((1, 0, 1, 1, 1, 1), (0, 0, 0), (0, 0, 0)), ((1, 0, 1, 1, 2, 0), \
(0, 0, 0), (0, 0, 0)), ((1, 0, 1, 2, 0, 1), (0, 0, 0), (0, 0, 0)), \
((1, 0, 1, 2, 1, 0), (0, 0, 0), (0, 0, 0)), ((1, 0, 1, 2, 2, -1), (0, \
0, 0), (0, 0, 0)), ((1, 0, 2, 0, 0, 2), (0, 0, 0), (0, 0, 0)), ((1, \
0, 2, 0, 1, 1), (0, 0, 0), (0, 0, 0)), ((1, 0, 2, 1, -1, 2), (0, 0, \
0), (0, 0, 0)), ((1, 0, 2, 1, 0, 1), (0, 0, 0), (0, 0, 0)), ((1, 0, \
2, 1, 1, 0), (0, 0, 0), (0, 0, 0)), ((1, 0, 2, 2, 0, 0), (0, 0, 0), \
(0, 0, 0)), ((1, 0, 2, 2, 1, -1), (0, 0, 0), (0, 0, 0)), ((1, 1, -1, \
0, 2, 2), (0, 0, 0), (0, 0, 0)), ((1, 1, -1, 1, 1, 2), (0, 0, 0), (0, \
0, 0)), ((1, 1, -1, 1, 2, 1), (0, 0, 0), (0, 0, 0)), ((1, 1, -1, 2, \
1, 1), (0, 0, 0), (0, 0, 0)), ((1, 1, -1, 2, 2, 0), (0, 0, 0), (0, 0, \
0)), ((1, 1, -1, 3, 1, 0), (0, 0, 0), (0, 0, 0)), ((1, 1, -1, 3, 2, \
-1), (0, 0, 0), (0, 0, 0)), ((1, 1, 0, -1, 2, 2), (0, 0, 0), (0, 0, \
0)), ((1, 1, 0, 0, 1, 2), (0, 0, 0), (0, 0, 0)), ((1, 1, 0, 0, 2, 1), \
(0, 0, 0), (0, 0, 0)), ((1, 1, 0, 1, 0, 2), (0, 0, 0), (0, 0, 0)), \
((1, 1, 0, 1, 1, 1), (0, 0, 0), (0, 0, 0)), ((1, 1, 0, 1, 2, 0), (0, \
0, 0), (0, 0, 0)), ((1, 1, 0, 2, 0, 1), (0, 0, 0), (0, 0, 0)), ((1, \
1, 0, 2, 1, 0), (0, 0, 0), (0, 0, 0)), ((1, 1, 0, 2, 2, -1), (0, 0, \
0), (0, 0, 0)), ((1, 1, 0, 3, 0, 0), (0, 0, 0), (0, 0, 0)), ((1, 1, \
0, 3, 2, -2), (0, 0, 0), (0, 0, 0)), ((1, 1, 1, -2, 2, 2), (0, 0, 0), \
(0, 0, 0)), ((1, 1, 1, -1, 1, 2), (0, 0, 0), (0, 0, 0)), ((1, 1, 1, \
-1, 2, 1), (0, 0, 0), (0, 0, 0)), ((1, 1, 1, 0, 0, 2), (0, 0, 0), (0, \
0, 0)), ((1, 1, 1, 0, 1, 1), (0, 0, 0), (0, 0, 0)), ((1, 1, 1, 0, 2, \
0), (0, 0, 0), (0, 0, 0)), ((1, 1, 1, 1, -1, 2), (0, 0, 0), (0, 0, \
0)), ((1, 1, 1, 1, 0, 1), (0, 0, 0), (0, 0, 0)), ((1, 1, 1, 1, 1, 0), \
(0, 0, 0), (0, 0, 0)), ((1, 1, 1, 1, 2, -1), (0, 0, 0), (0, 0, 0)), \
((1, 1, 1, 2, -1, 1), (0, 0, 0), (0, 0, 0)), ((1, 1, 1, 2, 0, 0), (0, \
0, 0), (0, 0, 0)), ((1, 1, 1, 2, 1, -1), (0, 0, 0), (0, 0, 0)), ((1, \
1, 2, 0, 0, 1), (0, 0, 0), (0, 0, 0)), ((1, 1, 2, 0, 1, 0), (0, 0, \
0), (0, 0, 0)), ((1, 1, 2, 1, -1, 1), (0, 0, 0), (0, 0, 0)), ((1, 1, \
2, 1, 0, 0), (0, 0, 0), (0, 0, 0)), ((1, 1, 2, 1, 1, -1), (0, 0, 0), \
(0, 0, 0)), ((1, 1, 2, 2, -1, 0), (0, 0, 0), (0, 0, 0)), ((1, 1, 2, \
2, 0, -1), (0, 0, 0), (0, 0, 0)), ((1, 2, -2, 2, 2, 0), (0, 0, 0), \
(0, 0, 0)), ((1, 2, -1, -1, 2, 2), (0, 0, 0), (0, 0, 0)), ((1, 2, -1, \
0, 1, 2), (0, 0, 0), (0, 0, 0)), ((1, 2, -1, 0, 2, 1), (0, 0, 0), (0, \
0, 0)), ((1, 2, -1, 1, 1, 1), (0, 0, 0), (0, 0, 0)), ((1, 2, -1, 1, \
2, 0), (0, 0, 0), (0, 0, 0)), ((1, 2, -1, 2, 1, 0), (0, 0, 0), (0, 0, \
0)), ((1, 2, -1, 2, 2, -1), (0, 0, 0), (0, 0, 0)), ((1, 2, 0, -1, 1, \
2), (0, 0, 0), (0, 0, 0)), ((1, 2, 0, -1, 2, 1), (0, 0, 0), (0, 0, \
0)), ((1, 2, 0, 0, 0, 2), (0, 0, 0), (0, 0, 0)), ((1, 2, 0, 0, 1, 1), \
(0, 0, 0), (0, 0, 0)), ((1, 2, 0, 0, 2, 0), (0, 0, 0), (0, 0, 0)), \
((1, 2, 0, 1, 0, 1), (0, 0, 0), (0, 0, 0)), ((1, 2, 0, 1, 1, 0), (0, \
0, 0), (0, 0, 0)), ((1, 2, 0, 1, 2, -1), (0, 0, 0), (0, 0, 0)), ((1, \
2, 0, 2, 0, 0), (0, 0, 0), (0, 0, 0)), ((1, 2, 0, 2, 1, -1), (0, 0, \
0), (0, 0, 0)), ((1, 2, 0, 2, 2, -2), (0, 0, 0), (0, 0, 0)), ((1, 2, \
1, -1, 1, 1), (0, 0, 0), (0, 0, 0)), ((1, 2, 1, -1, 2, 0), (0, 0, 0), \
(0, 0, 0)), ((1, 2, 1, 0, 0, 1), (0, 0, 0), (0, 0, 0)), ((1, 2, 1, 0, \
1, 0), (0, 0, 0), (0, 0, 0)), ((1, 2, 1, 0, 2, -1), (0, 0, 0), (0, 0, \
0)), ((1, 2, 1, 1, -1, 1), (0, 0, 0), (0, 0, 0)), ((1, 2, 1, 1, 0, \
0), (0, 0, 0), (0, 0, 0)), ((1, 2, 1, 1, 1, -1), (0, 0, 0), (0, 0, \
0)), ((1, 2, 1, 1, 2, -2), (0, 0, 0), (0, 0, 0)), ((1, 2, 2, 0, 0, \
0), (0, 0, 0), (0, 0, 0)), ((1, 2, 2, 0, 1, -1), (0, 0, 0), (0, 0, \
0)), ((1, 2, 2, 1, 0, -1), (0, 0, 0), (0, 0, 0)), ((1, 2, 2, 1, 1, \
-2), (0, 0, 0), (0, 0, 0)), ((1, 3, 0, 0, 0, 1), (0, 0, 0), (0, 0, \
0)), ((1, 3, 0, 0, 1, 0), (0, 0, 0), (0, 0, 0)), ((1, 3, 1, 0, 0, 0), \
(0, 0, 0), (0, 0, 0)), ((2, -2, 0, 3, 2, 0), (0, 0, 0), (0, 0, 0)), \
((2, -2, 1, 1, 1, 2), (0, 0, 0), (0, 0, 0)), ((2, -2, 2, 1, 0, 2), \
(0, 0, 0), (0, 0, 0)), ((2, -1, 0, 0, 2, 2), (0, 0, 0), (0, 0, 0)), \
((2, -1, 0, 1, 1, 2), (0, 0, 0), (0, 0, 0)), ((2, -1, 0, 1, 2, 1), \
(0, 0, 0), (0, 0, 0)), ((2, -1, 0, 2, 2, 0), (0, 0, 0), (0, 0, 0)), \
((2, -1, 1, 0, 0, 3), (0, 0, 0), (0, 0, 0)), ((2, -1, 1, 0, 1, 2), \
(0, 0, 0), (0, 0, 0)), ((2, -1, 1, 1, 0, 2), (0, 0, 0), (0, 0, 0)), \
((2, -1, 1, 1, 1, 1), (0, 0, 0), (0, 0, 0)), ((2, -1, 1, 2, 0, 1), \
(0, 0, 0), (0, 0, 0)), ((2, -1, 1, 2, 1, 0), (0, 0, 0), (0, 0, 0)), \
((2, -1, 2, 0, 0, 2), (0, 0, 0), (0, 0, 0)), ((2, -1, 2, 1, -1, 2), \
(0, 0, 0), (0, 0, 0)), ((2, -1, 2, 1, 0, 1), (0, 0, 0), (0, 0, 0)), \
((2, -1, 2, 2, 0, 0), (0, 0, 0), (0, 0, 0)), ((2, 0, -1, 0, 2, 2), \
(0, 0, 0), (0, 0, 0)), ((2, 0, -1, 1, 1, 2), (0, 0, 0), (0, 0, 0)), \
((2, 0, -1, 1, 2, 1), (0, 0, 0), (0, 0, 0)), ((2, 0, -1, 2, 2, 0), \
(0, 0, 0), (0, 0, 0)), ((2, 0, 0, -1, 2, 2), (0, 0, 0), (0, 0, 0)), \
((2, 0, 0, 0, 0, 3), (0, 0, 0), (0, 0, 0)), ((2, 0, 0, 0, 1, 2), (0, \
0, 0), (0, 0, 0)), ((2, 0, 0, 0, 2, 1), (0, 0, 0), (0, 0, 0)), ((2, \
0, 0, 1, 0, 2), (0, 0, 0), (0, 0, 0)), ((2, 0, 0, 1, 1, 1), (0, 0, \
0), (0, 0, 0)), ((2, 0, 0, 1, 2, 0), (0, 0, 0), (0, 0, 0)), ((2, 0, \
0, 2, 0, 1), (0, 0, 0), (0, 0, 0)), ((2, 0, 0, 2, 1, 0), (0, 0, 0), \
(0, 0, 0)), ((2, 0, 1, -1, 0, 3), (0, 0, 0), (0, 0, 0)), ((2, 0, 1, \
-1, 1, 2), (0, 0, 0), (0, 0, 0)), ((2, 0, 1, 0, -1, 3), (0, 0, 0), \
(0, 0, 0)), ((2, 0, 1, 0, 0, 2), (0, 0, 0), (0, 0, 0)), ((2, 0, 1, 0, \
1, 1), (0, 0, 0), (0, 0, 0)), ((2, 0, 1, 1, -1, 2), (0, 0, 0), (0, 0, \
0)), ((2, 0, 1, 1, 0, 1), (0, 0, 0), (0, 0, 0)), ((2, 0, 1, 1, 1, 0), \
(0, 0, 0), (0, 0, 0)), ((2, 0, 1, 2, -1, 1), (0, 0, 0), (0, 0, 0)), \
((2, 0, 1, 2, 0, 0), (0, 0, 0), (0, 0, 0)), ((2, 0, 1, 2, 1, -1), (0, \
0, 0), (0, 0, 0)), ((2, 0, 2, -1, 0, 2), (0, 0, 0), (0, 0, 0)), ((2, \
0, 2, 0, -1, 2), (0, 0, 0), (0, 0, 0)), ((2, 0, 2, 0, 0, 1), (0, 0, \
0), (0, 0, 0)), ((2, 0, 2, 1, -1, 1), (0, 0, 0), (0, 0, 0)), ((2, 0, \
2, 1, 0, 0), (0, 0, 0), (0, 0, 0)), ((2, 0, 2, 2, -1, 0), (0, 0, 0), \
(0, 0, 0)), ((2, 0, 2, 2, 0, -1), (0, 0, 0), (0, 0, 0)), ((2, 1, -1, \
-1, 2, 2), (0, 0, 0), (0, 0, 0)), ((2, 1, -1, 0, 0, 3), (0, 0, 0), \
(0, 0, 0)), ((2, 1, -1, 0, 1, 2), (0, 0, 0), (0, 0, 0)), ((2, 1, -1, \
0, 2, 1), (0, 0, 0), (0, 0, 0)), ((2, 1, -1, 1, 1, 1), (0, 0, 0), (0, \
0, 0)), ((2, 1, -1, 1, 2, 0), (0, 0, 0), (0, 0, 0)), ((2, 1, 0, -2, \
2, 2), (0, 0, 0), (0, 0, 0)), ((2, 1, 0, -1, 0, 3), (0, 0, 0), (0, 0, \
0)), ((2, 1, 0, -1, 1, 2), (0, 0, 0), (0, 0, 0)), ((2, 1, 0, -1, 2, \
1), (0, 0, 0), (0, 0, 0)), ((2, 1, 0, 0, -1, 3), (0, 0, 0), (0, 0, \
0)), ((2, 1, 0, 0, 0, 2), (0, 0, 0), (0, 0, 0)), ((2, 1, 0, 0, 1, 1), \
(0, 0, 0), (0, 0, 0)), ((2, 1, 0, 0, 2, 0), (0, 0, 0), (0, 0, 0)), \
((2, 1, 0, 1, 0, 1), (0, 0, 0), (0, 0, 0)), ((2, 1, 0, 1, 1, 0), (0, \
0, 0), (0, 0, 0)), ((2, 1, 0, 1, 2, -1), (0, 0, 0), (0, 0, 0)), ((2, \
1, 1, -2, 1, 2), (0, 0, 0), (0, 0, 0)), ((2, 1, 1, -1, 0, 2), (0, 0, \
0), (0, 0, 0)), ((2, 1, 1, -1, 1, 1), (0, 0, 0), (0, 0, 0)), ((2, 1, \
1, 0, -1, 2), (0, 0, 0), (0, 0, 0)), ((2, 1, 1, 0, 0, 1), (0, 0, 0), \
(0, 0, 0)), ((2, 1, 1, 0, 1, 0), (0, 0, 0), (0, 0, 0)), ((2, 1, 1, 1, \
-1, 1), (0, 0, 0), (0, 0, 0)), ((2, 1, 1, 1, 0, 0), (0, 0, 0), (0, 0, \
0)), ((2, 1, 1, 1, 1, -1), (0, 0, 0), (0, 0, 0)), ((2, 1, 2, -1, 0, \
1), (0, 0, 0), (0, 0, 0)), ((2, 1, 2, 0, -1, 1), (0, 0, 0), (0, 0, \
0)), ((2, 1, 2, 0, 0, 0), (0, 0, 0), (0, 0, 0)), ((2, 1, 2, 1, -1, \
0), (0, 0, 0), (0, 0, 0)), ((2, 1, 2, 1, 0, -1), (0, 0, 0), (0, 0, \
0)), ((2, 2, -2, 1, 2, 0), (0, 0, 0), (0, 0, 0)), ((2, 2, -1, 0, 1, \
1), (0, 0, 0), (0, 0, 0)), ((2, 2, -1, 0, 2, 0), (0, 0, 0), (0, 0, \
0)), ((2, 2, -1, 1, 1, 0), (0, 0, 0), (0, 0, 0)), ((2, 2, -1, 1, 2, \
-1), (0, 0, 0), (0, 0, 0)), ((2, 2, 0, -1, 1, 1), (0, 0, 0), (0, 0, \
0)), ((2, 2, 0, -1, 2, 0), (0, 0, 0), (0, 0, 0)), ((2, 2, 0, 0, 0, \
1), (0, 0, 0), (0, 0, 0)), ((2, 2, 0, 0, 1, 0), (0, 0, 0), (0, 0, \
0)), ((2, 2, 0, 0, 2, -1), (0, 0, 0), (0, 0, 0)), ((2, 2, 0, 1, 0, \
0), (0, 0, 0), (0, 0, 0)), ((2, 2, 0, 1, 1, -1), (0, 0, 0), (0, 0, \
0)), ((2, 2, 0, 1, 2, -2), (0, 0, 0), (0, 0, 0)), ((2, 2, 1, -1, 0, \
1), (0, 0, 0), (0, 0, 0)), ((2, 2, 1, -1, 1, 0), (0, 0, 0), (0, 0, \
0)), ((2, 2, 1, 0, -1, 1), (0, 0, 0), (0, 0, 0)), ((2, 2, 1, 0, 0, \
0), (0, 0, 0), (0, 0, 0)), ((2, 2, 1, 0, 1, -1), (0, 0, 0), (0, 0, \
0)), ((2, 2, 1, 1, -1, 0), (0, 0, 0), (0, 0, 0)), ((2, 2, 1, 1, 0, \
-1), (0, 0, 0), (0, 0, 0)), ((2, 2, 1, 1, 1, -2), (0, 0, 0), (0, 0, \
0)), ((2, 2, 2, -1, 0, 0), (0, 0, 0), (0, 0, 0)), ((2, 2, 2, 0, -1, \
0), (0, 0, 0), (0, 0, 0)), ((2, 2, 2, 0, 0, -1), (0, 0, 0), (0, 0, \
0)), ((2, 2, 2, 1, -2, 0), (0, 0, 0), (0, 0, 0)), ((2, 2, 2, 1, -1, \
-1), (0, 0, 0), (0, 0, 0)), ((2, 2, 2, 1, 0, -2), (0, 0, 0), (0, 0, \
0)), ((2, 3, 0, -1, 0, 1), (0, 0, 0), (0, 0, 0)), ((2, 3, 0, -1, 1, \
0), (0, 0, 0), (0, 0, 0)), ((2, 3, 0, 0, 0, 0), (0, 0, 0), (0, 0, \
0)), ((2, 3, 1, -1, 0, 0), (0, 0, 0), (0, 0, 0)), ((2, 3, 1, 0, 0, \
-1), (0, 0, 0), (0, 0, 0)), ((2, 3, 2, 0, 0, -2), (0, 0, 0), (0, 0, \
0)), ((3, -2, 1, 2, 1, 0), (0, 0, 0), (0, 0, 0)), ((3, -1, 0, 2, 1, \
0), (0, 0, 0), (0, 0, 0)), ((3, -1, 1, 1, 1, 0), (0, 0, 0), (0, 0, \
0)), ((3, -1, 1, 2, 0, 0), (0, 0, 0), (0, 0, 0)), ((3, -1, 1, 2, 1, \
-1), (0, 0, 0), (0, 0, 0)), ((3, 0, -1, 1, 2, 0), (0, 0, 0), (0, 0, \
0)), ((3, 0, 0, 1, 1, 0), (0, 0, 0), (0, 0, 0)), ((3, 0, 1, 1, 0, 0), \
(0, 0, 0), (0, 0, 0)), ((3, 0, 1, 1, 1, -1), (0, 0, 0), (0, 0, 0)), \
((3, 0, 2, 1, -1, 0), (0, 0, 0), (0, 0, 0)), ((3, 1, -2, 1, 2, 0), \
(0, 0, 0), (0, 0, 0)), ((3, 1, -1, 0, 2, 0), (0, 0, 0), (0, 0, 0)), \
((3, 1, -1, 1, 1, 0), (0, 0, 0), (0, 0, 0)), ((3, 1, -1, 1, 2, -1), \
(0, 0, 0), (0, 0, 0)), ((3, 1, 0, 0, 1, 0), (0, 0, 0), (0, 0, 0)), \
((3, 1, 0, 1, 0, 0), (0, 0, 0), (0, 0, 0)), ((3, 1, 0, 1, 1, -1), (0, \
0, 0), (0, 0, 0)), ((3, 1, 1, -1, 1, 0), (0, 0, 0), (0, 0, 0)), ((3, \
1, 1, 0, 0, 0), (0, 0, 0), (0, 0, 0)), ((3, 1, 1, 0, 1, -1), (0, 0, \
0), (0, 0, 0)), ((3, 1, 1, 1, -1, 0), (0, 0, 0), (0, 0, 0)), ((3, 1, \
1, 1, 0, -1), (0, 0, 0), (0, 0, 0)), ((3, 1, 2, 0, -1, 0), (0, 0, 0), \
(0, 0, 0)), ((3, 1, 2, 1, -2, 0), (0, 0, 0), (0, 0, 0)), ((3, 1, 2, \
1, -1, -1), (0, 0, 0), (0, 0, 0)), ((3, 2, -2, 0, 2, 0), (0, 0, 0), \
(0, 0, 0)), ((3, 2, -1, -1, 2, 0), (0, 0, 0), (0, 0, 0)), ((3, 2, -1, \
0, 1, 0), (0, 0, 0), (0, 0, 0)), ((3, 2, -1, 0, 2, -1), (0, 0, 0), \
(0, 0, 0)), ((3, 2, 0, -1, 1, 0), (0, 0, 0), (0, 0, 0)), ((3, 2, 0, \
0, 1, -1), (0, 0, 0), (0, 0, 0)), ((3, 2, 1, -2, 1, 0), (0, 0, 0), \
(0, 0, 0)), ((3, 2, 1, -1, 0, 0), (0, 0, 0), (0, 0, 0)), ((3, 2, 1, \
-1, 1, -1), (0, 0, 0), (0, 0, 0)), ((3, 2, 1, 0, -1, 0), (0, 0, 0), \
(0, 0, 0)), ((3, 2, 1, 0, 0, -1), (0, 0, 0), (0, 0, 0)), ((3, 2, 2, \
-1, -1, 0), (0, 0, 0), (0, 0, 0)), ((3, 2, 2, 0, -2, 0), (0, 0, 0), \
(0, 0, 0)), ((3, 2, 2, 0, -1, -1), (0, 0, 0), (0, 0, 0)), ((4, -2, 0, \
2, 1, 0), (0, 0, 0), (0, 0, 0)), ((4, -2, 1, 2, 0, 0), (0, 0, 0), (0, \
0, 0)), ((4, -1, 0, 1, 1, 0), (0, 0, 0), (0, 0, 0)), ((4, -1, 1, 1, \
0, 0), (0, 0, 0), (0, 0, 0)), ((4, 0, -2, 1, 2, 0), (0, 0, 0), (0, 0, \
0)), ((4, 0, -1, 1, 1, 0), (0, 0, 0), (0, 0, 0)), ((4, 0, 0, 0, 1, \
0), (0, 0, 0), (0, 0, 0)), ((4, 0, 0, 1, 0, 0), (0, 0, 0), (0, 0, \
0)), ((4, 0, 1, 0, 0, 0), (0, 0, 0), (0, 0, 0)), ((4, 0, 1, 1, -1, \
0), (0, 0, 0), (0, 0, 0)), ((4, 0, 2, 1, -2, 0), (0, 0, 0), (0, 0, \
0)), ((4, 1, -2, 0, 2, 0), (0, 0, 0), (0, 0, 0)), ((4, 1, -1, 0, 1, \
0), (0, 0, 0), (0, 0, 0)), ((4, 1, 0, -1, 1, 0), (0, 0, 0), (0, 0, \
0)), ((4, 1, 0, 0, 0, 0), (0, 0, 0), (0, 0, 0)), ((4, 1, 1, -1, 0, \
0), (0, 0, 0), (0, 0, 0)), ((4, 1, 1, 0, -1, 0), (0, 0, 0), (0, 0, \
0)), ((4, 1, 2, 0, -2, 0), (0, 0, 0), (0, 0, 0)), ((4, 2, -2, -1, 2, \
0), (0, 0, 0), (0, 0, 0)), ((4, 2, -1, -1, 1, 0), (0, 0, 0), (0, 0, \
0)), ((4, 2, 0, -2, 1, 0), (0, 0, 0), (0, 0, 0)), ((4, 2, 0, -1, 0, \
0), (0, 0, 0), (0, 0, 0)), ((4, 2, 1, -2, 0, 0), (0, 0, 0), (0, 0, \
0)), ((4, 2, 1, -1, -1, 0), (0, 0, 0), (0, 0, 0)), ((4, 2, 2, -1, -2, \
0), (0, 0, 0), (0, 0, 0)))


coeffs_in = [xi*sp.Rational(-9, 2) + sp.Rational(9, 4) + \
xi**2*sp.Rational(9, 4), sp.Rational(-9, 8) + \
xi**3*sp.Rational(-9, 8) + xi*sp.Rational(9, 8) + \
xi**2*sp.Rational(9, 8), sp.Rational(-27, 8) + \
xi**2*sp.Rational(-27, 8) + xi*sp.Rational(27, 4), \
sp.Rational(-9, 8) + xi**2*sp.Rational(-9, 8) + \
xi*sp.Rational(9, 4), xi*sp.Rational(-9, 2) + sp.Rational(9, 4) \
+ xi**2*sp.Rational(9, 4), sp.Rational(-9, 4) + \
xi*sp.Rational(9, 4), sp.Rational(-9, 4) + \
xi**2*sp.Rational(-9, 4) + xi*sp.Rational(9, 2), 9*xi + \
sp.Rational(-9, 2) + xi**2*sp.Rational(-9, 2), d*sp.Rational(-9, \
2) + xi**2*sp.Rational(-9, 2) + xi*sp.Rational(-9, 4) + \
sp.Rational(9, 2) + d*xi**2*sp.Rational(9, 2) + \
xi**3*sp.Rational(9, 4), sp.Rational(-27, 8) + \
xi*sp.Rational(27, 8), sp.Rational(27, 8), xi*sp.Rational(-27, \
8) + sp.Rational(9, 4) + xi**2*sp.Rational(9, 8), sp.Rational(-9, \
8) + xi**2*sp.Rational(9, 8), -9*xi + sp.Rational(27, 8) + \
xi**2*sp.Rational(45, 8), sp.Rational(-9, 4) + \
xi**2*sp.Rational(-9, 4) + xi*sp.Rational(9, 2), \
xi*sp.Rational(-9, 4) + sp.Rational(9, 8) + \
xi**2*sp.Rational(9, 8), xi*sp.Rational(-43, 8) + \
sp.Rational(25, 16) + xi**2*sp.Rational(61, 16), sp.Rational(-27, \
8) + xi**2*sp.Rational(-27, 8) + xi*sp.Rational(27, 4), \
xi*sp.Rational(-9, 2) + sp.Rational(9, 4) + \
xi**2*sp.Rational(9, 4), xi*sp.Rational(-9, 4) + sp.Rational(9, \
8) + xi**2*sp.Rational(9, 8), sp.Rational(-9, 8) + \
xi*sp.Rational(9, 8), sp.Rational(-9, 8) + \
xi**2*sp.Rational(-9, 8) + xi*sp.Rational(9, 4), \
sp.Rational(-3, 8) + xi*sp.Rational(3, 8), xi*sp.Rational(-63, \
4) + d*sp.Rational(-9, 2) + d*xi*sp.Rational(9, 2) + \
xi**2*sp.Rational(9, 4) + sp.Rational(27, 2), \
xi*sp.Rational(-3, 4) + sp.Rational(3, 8) + \
xi**2*sp.Rational(3, 8), 9*d*xi**2 + d*sp.Rational(-63, 4) + \
xi*sp.Rational(-21, 2) + sp.Rational(-3, 8) + \
xi**3*sp.Rational(9, 2) + d*xi*sp.Rational(27, 4) + \
xi**2*sp.Rational(51, 8), xi*sp.Rational(-9, 2) + \
xi**2*sp.Rational(-9, 2) + sp.Rational(9, 2) + \
xi**3*sp.Rational(9, 2), xi*sp.Rational(-27, 4) + \
xi**3*sp.Rational(-9, 4) + sp.Rational(9, 4) + \
xi**2*sp.Rational(27, 4), xi**2*sp.Rational(-27, 2) + \
sp.Rational(-9, 2) + xi**3*sp.Rational(9, 2) + \
xi*sp.Rational(27, 2), xi*sp.Rational(-27, 4) + \
xi**3*sp.Rational(-9, 4) + sp.Rational(9, 4) + \
xi**2*sp.Rational(27, 4), sp.Rational(-9, 8) + \
xi**2*sp.Rational(-9, 8) + xi*sp.Rational(9, 4), \
xi*sp.Rational(-9, 8) + xi**2*sp.Rational(9, 8), \
xi*sp.Rational(-9, 2) + sp.Rational(9, 2), xi*sp.Rational(-43, \
8) + xi**2*sp.Rational(-11, 16) + sp.Rational(97, 16), \
xi*sp.Rational(-9, 2) + sp.Rational(9, 4) + \
xi**2*sp.Rational(9, 4), sp.Rational(-9, 8) + \
xi**2*sp.Rational(9, 8), 9*xi + sp.Rational(-9, 2) + \
xi**2*sp.Rational(-9, 2), sp.Rational(-9, 2) + \
xi**2*sp.Rational(9, 2), sp.Rational(-9, 4) + \
xi**2*sp.Rational(-9, 4) + xi*sp.Rational(9, 2), \
xi*sp.Rational(-27, 4) + sp.Rational(27, 4), xi*sp.Rational(-9, \
2) + sp.Rational(9, 4) + xi**2*sp.Rational(9, 4), \
xi*sp.Rational(-9, 2) + sp.Rational(9, 4) + \
xi**2*sp.Rational(9, 4), 9*d - 9*d*xi**2 + sp.Rational(-27, 4) \
+ xi**3*sp.Rational(-9, 4) + xi*sp.Rational(9, 4) + \
xi**2*sp.Rational(27, 4), xi**2*sp.Rational(-9, 4) + \
xi*sp.Rational(-9, 8) + sp.Rational(27, 8), sp.Rational(-117, 8) + \
xi*sp.Rational(9, 4), sp.Rational(-9, 2) + xi**2*sp.Rational(9, \
8) + xi*sp.Rational(27, 8), xi*sp.Rational(-9, 4) + \
xi**2*sp.Rational(-9, 8) + sp.Rational(27, 8), \
xi**2*sp.Rational(-9, 4) + sp.Rational(9, 4), sp.Rational(-9, 4) + \
xi**2*sp.Rational(-9, 4) + xi*sp.Rational(9, 2), \
xi**2*sp.Rational(-9, 4) + sp.Rational(9, 4), 9 - 18*xi + 9*\
xi**2, xi*sp.Rational(-45, 8) + xi**2*sp.Rational(9, 4) + \
sp.Rational(27, 8), -10 + xi**2*sp.Rational(-31, 4) + \
xi*sp.Rational(71, 4), -9*xi + sp.Rational(9, 2) + \
xi**2*sp.Rational(9, 2), sp.Rational(-9, 4) + \
xi**2*sp.Rational(-9, 4) + xi*sp.Rational(9, 2), 9 + \
xi*sp.Rational(-9, 4), xi*sp.Rational(-9, 4) + \
xi**2*sp.Rational(-5, 4) + sp.Rational(7, 2), sp.Rational(-9, 8) + \
xi**2*sp.Rational(-5, 4) + xi*sp.Rational(5, 2), 20*xi + \
xi**2*sp.Rational(-115, 8) + sp.Rational(-99, 8) + \
d*sp.Rational(27, 2) + xi**3*sp.Rational(27, 4), sp.Rational(-7, \
8) + xi**2*sp.Rational(-3, 8) + xi*sp.Rational(5, 4), -8 + 39*\
xi - 18*d*xi**2 - 9*xi**3 + xi**2*sp.Rational(-17, 2) + \
d*sp.Rational(63, 2), -9*xi**3 + xi*sp.Rational(-35, 4) + \
sp.Rational(-1, 8) + xi**2*sp.Rational(143, 8), \
xi**2*sp.Rational(-27, 2) + sp.Rational(-9, 2) + \
xi**3*sp.Rational(9, 2) + xi*sp.Rational(27, 2), 9 - 27*xi + \
27*xi**2 - 9*xi**3, xi**2*sp.Rational(-27, 2) + \
sp.Rational(-9, 2) + xi**3*sp.Rational(9, 2) + \
xi*sp.Rational(27, 2), xi*sp.Rational(-45, 8) + sp.Rational(45, \
8), sp.Rational(-27, 4), xi*sp.Rational(-45, 8) + \
xi**2*sp.Rational(9, 4) + sp.Rational(27, 8), sp.Rational(9, 8), \
xi*sp.Rational(9, 2) + sp.Rational(27, 4), 8 + \
xi**2*sp.Rational(-25, 8) + xi*sp.Rational(51, 8), \
xi*sp.Rational(-35, 8) + sp.Rational(9, 8) + \
xi**2*sp.Rational(13, 4), sp.Rational(-67, 4) + \
xi**2*sp.Rational(7, 8) + xi*sp.Rational(127, 8), \
xi*sp.Rational(-9, 4) + sp.Rational(9, 4), xi*sp.Rational(-9, \
2) + sp.Rational(9, 4) + xi**2*sp.Rational(9, 4), sp.Rational(-27, \
8) + xi*sp.Rational(9, 4) + xi**2*sp.Rational(9, 8), \
sp.Rational(-71, 8) + xi**2*sp.Rational(-71, 8) + \
xi*sp.Rational(71, 4), xi*sp.Rational(-9, 4) + \
xi**2*sp.Rational(-9, 8) + sp.Rational(27, 8), -1 + \
xi**2*sp.Rational(-25, 8) + xi*sp.Rational(33, 8), 11 + \
xi*sp.Rational(-79, 4) + xi**2*sp.Rational(35, 4), \
sp.Rational(-9, 8) + xi**2*sp.Rational(-9, 8) + \
xi*sp.Rational(9, 4), sp.Rational(-9, 8) + \
xi**2*sp.Rational(-9, 8) + xi*sp.Rational(9, 4), \
sp.Rational(-9, 8) + xi*sp.Rational(9, 8), xi*sp.Rational(-9, \
4) + sp.Rational(9, 8) + xi**2*sp.Rational(9, 8), \
xi*sp.Rational(-3, 4) + sp.Rational(3, 4), sp.Rational(-99, 8) + \
xi*sp.Rational(27, 4) + xi**2*sp.Rational(45, 8), 9 - 18*xi \
+ 9*xi**2, -9 + 18*xi - 9*xi**2, sp.Rational(-9, 8) + \
xi**2*sp.Rational(-9, 8) + xi*sp.Rational(9, 4), \
xi*sp.Rational(-9, 2) + sp.Rational(9, 4) + \
xi**2*sp.Rational(9, 4), xi*sp.Rational(-9, 8) + sp.Rational(9, \
8), xi*sp.Rational(-15, 8) + sp.Rational(15, 8), 9*d + 9*xi - \
9*d*xi + 9*xi**2 + sp.Rational(-135, 8) + \
xi**3*sp.Rational(-9, 8), xi**2*sp.Rational(-7, 4) + \
sp.Rational(-3, 4) + xi*sp.Rational(5, 2), \
xi**2*sp.Rational(-229, 16) + d*xi*sp.Rational(-27, 2) + \
xi*sp.Rational(109, 8) + d*sp.Rational(225, 8) + sp.Rational(245, \
16), 9*xi - 9*xi**2, 9*xi + sp.Rational(-9, 2) + \
xi**2*sp.Rational(-9, 2), -9*xi + sp.Rational(9, 2) + \
xi**2*sp.Rational(9, 2), xi*sp.Rational(-9, 4) + sp.Rational(9, \
8) + xi**2*sp.Rational(9, 8), xi*sp.Rational(-9, 4) + \
xi**2*sp.Rational(-9, 8) + sp.Rational(27, 8), \
xi*sp.Rational(-81, 8) + sp.Rational(27, 4) + \
xi**2*sp.Rational(27, 8), sp.Rational(-9, 4) + \
xi**2*sp.Rational(-9, 8) + xi*sp.Rational(35, 8), \
d*sp.Rational(-9, 2) + xi**2*sp.Rational(-3, 8) + sp.Rational(7, \
2) + xi*sp.Rational(29, 8), -18*xi + xi**2*sp.Rational(9, 2) \
+ sp.Rational(27, 2), sp.Rational(-13, 4) + xi**2*sp.Rational(9, \
8) + xi*sp.Rational(17, 8), sp.Rational(-1, 4) + \
xi**2*sp.Rational(-1, 4) + xi*sp.Rational(1, 2), \
sp.Rational(-9, 8) + xi**2*sp.Rational(-9, 8) + \
xi*sp.Rational(9, 4), xi**2*sp.Rational(-9, 8) + sp.Rational(9, \
8), -9*xi + sp.Rational(9, 2) + xi**2*sp.Rational(9, 2), \
xi*sp.Rational(-27, 8) + sp.Rational(27, 8), -18*xi + \
xi**2*sp.Rational(9, 2) + sp.Rational(27, 2), 9*xi + \
sp.Rational(-9, 2) + xi**2*sp.Rational(-9, 2), -xi + xi**2, \
9 + xi**2*sp.Rational(-27, 4), xi - xi**2, sp.Rational(-9, \
2) + xi*sp.Rational(9, 2), d*sp.Rational(-9, 2) + \
xi**2*sp.Rational(-9, 2) + xi*sp.Rational(-9, 4) + \
sp.Rational(9, 2) + d*xi**2*sp.Rational(9, 2) + \
xi**3*sp.Rational(9, 4), xi*sp.Rational(-9, 2) + \
sp.Rational(63, 4), sp.Rational(-9, 4) + xi*sp.Rational(9, 4), \
sp.Rational(-9, 4) + xi*sp.Rational(9, 4), 9 - 9*xi, -9 + \
xi**2*sp.Rational(-9, 4) + xi*sp.Rational(45, 4), \
xi*sp.Rational(-9, 2) + sp.Rational(9, 2), sp.Rational(-9, 8) + \
xi**2*sp.Rational(-9, 8) + xi*sp.Rational(9, 4), \
sp.Rational(-27, 8) + xi**2*sp.Rational(9, 4) + \
xi*sp.Rational(9, 8), sp.Rational(-117, 8) + xi*sp.Rational(9, \
4), -xi**2 + xi*sp.Rational(-29, 8) + sp.Rational(37, 8), \
xi*sp.Rational(-17, 8) + xi**2*sp.Rational(5, 4) + \
sp.Rational(7, 4), xi*sp.Rational(-35, 2) + sp.Rational(25, 8) + \
d*sp.Rational(27, 2) + xi**2*sp.Rational(115, 8), \
xi*sp.Rational(-1, 2) + sp.Rational(1, 2), 9*d*xi**2 + \
d*sp.Rational(-63, 4) + xi*sp.Rational(-57, 2) + \
xi**3*sp.Rational(9, 2) + sp.Rational(67, 8) + \
xi**2*sp.Rational(71, 8), xi**2*sp.Rational(-107, 8) + \
sp.Rational(-35, 8) + xi**3*sp.Rational(9, 2) + \
xi*sp.Rational(53, 4), xi*sp.Rational(-27, 4) + \
xi**3*sp.Rational(-9, 4) + sp.Rational(9, 4) + \
xi**2*sp.Rational(27, 4), xi**2*sp.Rational(-27, 2) + \
sp.Rational(-9, 2) + xi**3*sp.Rational(9, 2) + \
xi*sp.Rational(27, 2), xi*sp.Rational(-27, 4) + \
xi**3*sp.Rational(-9, 4) + sp.Rational(9, 4) + \
xi**2*sp.Rational(27, 4), 9 - 9*xi, sp.Rational(-135, 8) + \
xi*sp.Rational(9, 2), -18 + 18*xi, xi*sp.Rational(-9, 2) + \
sp.Rational(81, 8), sp.Rational(-117, 8) + xi*sp.Rational(19, 8), \
xi*sp.Rational(-79, 8) + xi**2*sp.Rational(-1, 8) + \
sp.Rational(49, 4), xi**2*sp.Rational(-13, 2) + sp.Rational(-9, 8) \
+ xi*sp.Rational(61, 8), xi*sp.Rational(-47, 4) + \
xi**2*sp.Rational(-3, 16) + sp.Rational(191, 16), sp.Rational(-9, \
4) + xi*sp.Rational(9, 4), sp.Rational(-9, 4) + \
xi**2*sp.Rational(9, 4), -18 + 18*xi, xi*sp.Rational(-9, 4) \
+ sp.Rational(9, 4), xi*sp.Rational(-27, 8) + \
xi**2*sp.Rational(9, 4) + sp.Rational(9, 8), xi*sp.Rational(-9, \
8) + xi**2*sp.Rational(-1, 8) + sp.Rational(5, 4), \
xi*sp.Rational(-9, 4) + sp.Rational(9, 8) + \
xi**2*sp.Rational(9, 8), xi*sp.Rational(-9, 4) + sp.Rational(9, \
8) + xi**2*sp.Rational(9, 8), xi*sp.Rational(-27, 8) + \
sp.Rational(27, 8), sp.Rational(27, 8), sp.Rational(-47, 8) + \
xi*sp.Rational(47, 8), -1, -2 + xi**2*sp.Rational(-9, 4) + \
xi*sp.Rational(17, 4), -9 + 18*xi - 9*xi**2, 9 - 18*xi + \
9*xi**2, sp.Rational(-63, 8) + xi**2*sp.Rational(-9, 4) + \
xi*sp.Rational(81, 8), sp.Rational(9, 4), 1 + \
xi*sp.Rational(-13, 4) + xi**2*sp.Rational(9, 4), \
sp.Rational(9, 8), sp.Rational(-9, 2) + xi*sp.Rational(7, 2), \
sp.Rational(-615, 16) + xi**2*sp.Rational(-31, 16) + \
d*sp.Rational(27, 2) + xi*sp.Rational(305, 8), \
xi*sp.Rational(-27, 4) + sp.Rational(7, 8) + \
xi**2*sp.Rational(15, 2), -26 + 36*d + 53*xi + \
xi**2*sp.Rational(11, 4), 9*xi**2 + xi*sp.Rational(-143, 8) \
+ sp.Rational(71, 8), -9*xi + sp.Rational(9, 2) + \
xi**2*sp.Rational(9, 2), 9*xi + sp.Rational(-9, 2) + \
xi**2*sp.Rational(-9, 2), sp.Rational(-9, 2) + \
xi*sp.Rational(9, 2), xi*sp.Rational(-9, 2) + sp.Rational(117, \
8), xi*sp.Rational(-9, 2) + sp.Rational(9, 2), sp.Rational(-117, \
8) + xi*sp.Rational(5, 4), sp.Rational(-27, 4) + \
xi*sp.Rational(17, 8), xi*sp.Rational(-99, 4) + \
xi**2*sp.Rational(-1, 8) + sp.Rational(163, 8), sp.Rational(9, 2), \
-xi + sp.Rational(-99, 8) + xi**2*sp.Rational(13, 4), -17*xi \
+ sp.Rational(-145, 4) + xi**2*sp.Rational(-11, 4) + \
d*sp.Rational(11, 2), sp.Rational(-63, 4) + xi**2*sp.Rational(1, \
4) + xi*sp.Rational(71, 4), xi**2*sp.Rational(-13, 2) + \
xi*sp.Rational(13, 2), xi*sp.Rational(-85, 8) + sp.Rational(23, \
4) + xi**2*sp.Rational(39, 8), xi**2*sp.Rational(-3, 4) + \
xi*sp.Rational(-3, 8) + sp.Rational(9, 8), xi*sp.Rational(-9, \
4) + xi**2*sp.Rational(-9, 8) + sp.Rational(27, 8), \
xi*sp.Rational(-89, 4) + xi**2*sp.Rational(-1, 8) + \
sp.Rational(179, 8), sp.Rational(-9, 2) + xi*sp.Rational(9, 2), \
sp.Rational(-169, 16) + xi**2*sp.Rational(-11, 16) + \
xi*sp.Rational(45, 4), sp.Rational(-81, 8) + \
xi**2*sp.Rational(1, 4) + xi*sp.Rational(79, 8), \
xi*sp.Rational(-9, 4) + sp.Rational(9, 8) + \
xi**2*sp.Rational(9, 8), sp.Rational(-9, 8) + \
xi**2*sp.Rational(-9, 8) + xi*sp.Rational(9, 4), 9 - 9*xi, \
xi*sp.Rational(-9, 4) + sp.Rational(9, 8) + \
xi**2*sp.Rational(9, 8), xi*sp.Rational(-9, 8) + sp.Rational(9, \
8), sp.Rational(-9, 8) + xi**2*sp.Rational(-9, 8) + \
xi*sp.Rational(9, 4), sp.Rational(-3, 4) + xi*sp.Rational(3, \
4), -9*xi + xi**2*sp.Rational(-27, 8) + sp.Rational(99, 8), -9 \
+ 9*xi, -9 + 9*xi, xi*sp.Rational(-9, 8) + sp.Rational(9, \
8), sp.Rational(-9, 8) + xi**2*sp.Rational(-9, 8) + \
xi*sp.Rational(9, 4), sp.Rational(-9, 8) + xi*sp.Rational(9, \
8), sp.Rational(-3, 2) + xi*sp.Rational(3, 2) + \
xi**2*sp.Rational(7, 8), 27*xi + sp.Rational(-135, 8) + \
xi**2*sp.Rational(-81, 8) + d*sp.Rational(-9, 2) + \
d*xi*sp.Rational(9, 2), xi*sp.Rational(-5, 8) + \
xi**2*sp.Rational(-1, 2) + sp.Rational(3, 8), \
xi*sp.Rational(-155, 8) + xi**2*sp.Rational(-41, 8) + \
d*xi*sp.Rational(27, 4) + sp.Rational(103, 8), -18 + 18*xi, \
xi*sp.Rational(-9, 4) + sp.Rational(9, 4), xi*sp.Rational(-9, \
2) + sp.Rational(9, 2), xi*sp.Rational(-9, 4) + sp.Rational(9, 4), \
sp.Rational(-27, 8) + xi*sp.Rational(27, 8), sp.Rational(-63, 8) + \
xi**2*sp.Rational(-27, 8) + xi*sp.Rational(45, 4), \
xi*sp.Rational(-31, 8) + sp.Rational(9, 4) + \
xi**2*sp.Rational(9, 8), 9*d + sp.Rational(-619, 16) + \
xi**2*sp.Rational(-19, 16) + xi*sp.Rational(49, 8), \
sp.Rational(-9, 2) + xi*sp.Rational(9, 2), -2*xi, 9*d + \
xi*sp.Rational(-9, 2) + xi**2*sp.Rational(17, 8) + \
sp.Rational(49, 4), -9 - 18*d + xi**2*sp.Rational(5, 4) + \
xi*sp.Rational(67, 4), 9 - 9*xi, sp.Rational(-45, 8) + \
xi**2*sp.Rational(-9, 8) + xi*sp.Rational(27, 4), \
sp.Rational(-27, 2) + xi*sp.Rational(27, 2), sp.Rational(-27, 2) + \
xi*sp.Rational(27, 2), 9 - 9*xi, xi**2*sp.Rational(-5, 2) + \
xi*sp.Rational(5, 2), sp.Rational(-9, 2) + \
xi**2*sp.Rational(-9, 8), xi*sp.Rational(-5, 2) + \
xi**2*sp.Rational(29, 8), sp.Rational(-9, 8) + \
xi**3*sp.Rational(-9, 8) + xi*sp.Rational(9, 8) + \
xi**2*sp.Rational(9, 8), sp.Rational(-9, 2) + xi*sp.Rational(9, \
2), -9*xi + sp.Rational(9, 2) + xi**2*sp.Rational(9, 2), \
xi*sp.Rational(-9, 2) + sp.Rational(9, 4) + \
xi**2*sp.Rational(9, 4), xi*sp.Rational(-27, 4) + \
sp.Rational(27, 4), sp.Rational(-9, 4) + xi**2*sp.Rational(-9, 4) \
+ xi*sp.Rational(9, 2), d*sp.Rational(-9, 2) + \
xi*sp.Rational(-9, 2) + xi**2*sp.Rational(-9, 4) + \
sp.Rational(9, 2) + d*xi*sp.Rational(9, 2) + \
xi**3*sp.Rational(9, 4), xi**2*sp.Rational(-1, 2) + \
xi*sp.Rational(1, 2), -5*xi + xi**2*sp.Rational(1, 2) + \
sp.Rational(9, 2), -9 + xi**2*sp.Rational(-11, 4) + \
xi*sp.Rational(47, 4), 9 + xi*sp.Rational(-17, 2), \
xi*sp.Rational(-13, 4) + xi**2*sp.Rational(13, 4), \
sp.Rational(-5, 4) + xi**2*sp.Rational(1, 2) + \
xi*sp.Rational(3, 4), xi**2*sp.Rational(-81, 8) + \
sp.Rational(-27, 4) + xi*sp.Rational(135, 8), \
xi*sp.Rational(-9, 2) + sp.Rational(9, 4) + \
xi**2*sp.Rational(9, 4), sp.Rational(-27, 4) + \
xi**2*sp.Rational(-27, 4) + xi*sp.Rational(27, 2), \
sp.Rational(-9, 8) + xi**2*sp.Rational(-9, 8) + \
xi*sp.Rational(9, 4), sp.Rational(-9, 4) + \
xi**2*sp.Rational(-9, 4) + xi*sp.Rational(9, 2), \
sp.Rational(-9, 4) + xi*sp.Rational(9, 4), xi*sp.Rational(-9, \
2) + sp.Rational(9, 4) + xi**2*sp.Rational(9, 4), sp.Rational(-27, \
8) + xi**2*sp.Rational(-27, 8) + xi*sp.Rational(27, 4), \
sp.Rational(-27, 4) + xi**2*sp.Rational(-27, 4) + \
xi*sp.Rational(27, 2), -xi + xi**2, -4*xi + \
xi**2*sp.Rational(7, 4) + sp.Rational(9, 4), 9 - 18*xi + \
xi**2*sp.Rational(45, 4), xi*sp.Rational(-1, 2) + \
xi**2*sp.Rational(1, 2), xi**2*sp.Rational(-9, 4) + \
sp.Rational(9, 4) + xi*sp.Rational(45, 8), 9*d - 9*d*xi + \
xi**3 + xi**2*sp.Rational(-53, 8) + sp.Rational(-1, 8) + \
xi*sp.Rational(7, 2), xi**2*sp.Rational(-49, 8) + \
xi*sp.Rational(49, 8), xi*sp.Rational(-29, 2) + \
d*sp.Rational(-27, 8) + xi**3*sp.Rational(5, 8) + \
d*xi*sp.Rational(27, 8) + xi**2*sp.Rational(89, 16) + \
sp.Rational(97, 16), xi*sp.Rational(-1, 2) + \
xi**2*sp.Rational(1, 2), -4*xi + xi**2*sp.Rational(-1, 2) + \
sp.Rational(9, 2), xi**2*sp.Rational(-1, 2) + xi*sp.Rational(1, \
2), xi*sp.Rational(-49, 4) + sp.Rational(9, 4) + \
xi**2*sp.Rational(11, 4), -18 + 18*xi, xi*sp.Rational(-9, 4) \
+ sp.Rational(9, 4), -xi**2 + sp.Rational(-9, 4) + \
xi*sp.Rational(13, 8), -2*d*xi + xi*sp.Rational(-13, 8) + \
d*sp.Rational(-11, 2) + xi**2*sp.Rational(-11, 4) + \
sp.Rational(131, 4), xi*sp.Rational(-13, 2) + \
xi**2*sp.Rational(13, 2), xi**2*sp.Rational(-43, 8) + \
sp.Rational(-19, 8) + xi**3*sp.Rational(1, 2) + \
xi*sp.Rational(29, 4), sp.Rational(-7, 8) + xi*sp.Rational(7, \
8), xi*sp.Rational(-9, 2) + sp.Rational(9, 4) + \
xi**2*sp.Rational(9, 4), sp.Rational(-9, 4) + \
xi**2*sp.Rational(-9, 4) + xi*sp.Rational(9, 2), 9 + \
xi*sp.Rational(-99, 4) + xi**2*sp.Rational(63, 4), \
sp.Rational(-9, 4) + xi**2*sp.Rational(-9, 4) + \
xi*sp.Rational(9, 2), -18*xi + xi**3*sp.Rational(9, 8) + \
xi**2*sp.Rational(19, 8) + sp.Rational(29, 2), sp.Rational(-9, 8) \
+ xi**2*sp.Rational(-9, 8) + xi*sp.Rational(9, 4), \
xi*sp.Rational(-9, 4) + sp.Rational(9, 8) + \
xi**2*sp.Rational(9, 8), xi*sp.Rational(-9, 2) + sp.Rational(9, \
4) + xi**2*sp.Rational(9, 4), xi**2*sp.Rational(-1, 2) + \
xi*sp.Rational(1, 2), xi*sp.Rational(-9, 4) + sp.Rational(9, \
4), sp.Rational(-9, 4) + xi**2*sp.Rational(-9, 4) + \
xi*sp.Rational(9, 2), xi*sp.Rational(-41, 4), \
xi*sp.Rational(-73, 8) + xi**2*sp.Rational(-17, 4) + \
sp.Rational(107, 8), xi*sp.Rational(-63, 8) + sp.Rational(63, 16) \
+ xi**2*sp.Rational(63, 16), xi**2*sp.Rational(-1, 2) + \
xi*sp.Rational(1, 2), sp.Rational(-63, 8) + \
xi**2*sp.Rational(-5, 8) + xi*sp.Rational(17, 2), \
xi**2*sp.Rational(-63, 8) + sp.Rational(-45, 8) + \
xi*sp.Rational(45, 4), xi*sp.Rational(-1, 2) + \
xi**2*sp.Rational(1, 2), xi**2*sp.Rational(-17, 16) + \
sp.Rational(-9, 16) + xi*sp.Rational(9, 2), 2*xi**2 + \
xi*sp.Rational(-63, 8) + d*sp.Rational(-9, 4) + sp.Rational(-9, \
8), sp.Rational(-407, 16) + xi**3*sp.Rational(-13, 4) + \
d*sp.Rational(-9, 2) + d*xi*sp.Rational(9, 2) + \
xi**2*sp.Rational(101, 16) + xi*sp.Rational(197, 8), 15*xi + \
xi**2*sp.Rational(-9, 8), sp.Rational(-65, 2) + d*sp.Rational(-49, \
4) + xi**2*sp.Rational(-35, 8) + xi*sp.Rational(-33, 4) + d*\
xi*sp.Rational(9, 4), 2*xi**2 + xi*sp.Rational(-63, 4) + \
sp.Rational(55, 4), sp.Rational(-9, 2) + xi*sp.Rational(9, 2), \
xi*sp.Rational(-25, 4) + sp.Rational(27, 4), 9 + \
xi*sp.Rational(-19, 2), sp.Rational(-9, 4) + xi*sp.Rational(11, \
4), xi*sp.Rational(-29, 8) + xi**2*sp.Rational(-9, 4) + \
sp.Rational(9, 4), -10*d + 2*d*xi + 5*xi**2 + sp.Rational(-413, \
8) + xi*sp.Rational(-11, 8), xi*sp.Rational(-17, 4), 8 - d - \
9*d*xi + xi**2*sp.Rational(-19, 8) + xi*sp.Rational(5, 2), \
20*d + xi + sp.Rational(-67, 8), sp.Rational(-9, 4) + \
xi**2*sp.Rational(-9, 4) + xi*sp.Rational(9, 2), \
xi*sp.Rational(-9, 2) + sp.Rational(9, 4) + \
xi**2*sp.Rational(9, 4), -8*xi**2 + sp.Rational(-145, 8) + \
xi*sp.Rational(209, 8), xi*sp.Rational(-29, 2) + \
xi**2*sp.Rational(9, 4) + sp.Rational(49, 4), sp.Rational(-43, 8) \
+ xi*sp.Rational(43, 8), sp.Rational(-9, 8) + xi*sp.Rational(9, \
8), xi**2*sp.Rational(1, 2), 9*xi**2 + xi*sp.Rational(-207, \
8) + sp.Rational(135, 8), d*sp.Rational(-9, 2) + xi*sp.Rational(9, \
4), xi*sp.Rational(-9, 2) + sp.Rational(9, 2), \
xi**2*sp.Rational(-7, 8), xi*sp.Rational(-189, 8) + \
xi**3*sp.Rational(9, 8) + xi**2*sp.Rational(45, 8) + \
sp.Rational(135, 8), xi*sp.Rational(-13, 8) + \
xi**2*sp.Rational(-7, 4), sp.Rational(-263, 16) + \
d*xi*sp.Rational(-45, 8) + d*sp.Rational(-27, 8) + \
xi**3*sp.Rational(5, 8) + xi**2*sp.Rational(21, 16) + \
xi*sp.Rational(79, 8), sp.Rational(-9, 2) + xi*sp.Rational(9, \
2), -9*d + sp.Rational(9, 4) + xi*sp.Rational(9, 4), 18*d + \
sp.Rational(-9, 2) + xi*sp.Rational(-9, 2), sp.Rational(-9, 2) + \
xi*sp.Rational(9, 2), xi*sp.Rational(-3, 2), \
xi*sp.Rational(-49, 8) + xi**2*sp.Rational(-11, 4) + \
d*sp.Rational(-9, 2) + sp.Rational(233, 8), 3*xi, -18*d - 9*d**2 - \
9*d*xi**2 + xi**3*sp.Rational(-25, 4) + xi*sp.Rational(-25, \
8) + sp.Rational(-23, 4) + d*xi*sp.Rational(27, 8) + \
xi**2*sp.Rational(49, 8), 18*d + sp.Rational(-35, 4) + \
xi*sp.Rational(-1, 4), d*sp.Rational(-9, 2) + xi*sp.Rational(9, \
4), 18*d + sp.Rational(-9, 2) + xi*sp.Rational(-9, 2), 9 - 18*d, \
xi*sp.Rational(-27, 8) + sp.Rational(9, 4) + \
xi**3*sp.Rational(9, 8), xi**2*sp.Rational(-9, 4) + \
xi*sp.Rational(9, 4), 9 - 9*xi + xi**3*sp.Rational(-9, 2) + \
xi**2*sp.Rational(9, 2), sp.Rational(-9, 8) + xi*sp.Rational(9, \
8), xi*sp.Rational(-9, 2) + sp.Rational(9, 2), sp.Rational(-9, 2) \
+ xi*sp.Rational(9, 2), xi*sp.Rational(-3, 2) + \
xi**2*sp.Rational(3, 2), xi**2*sp.Rational(27, 8), \
xi*sp.Rational(-9, 4) + xi**2*sp.Rational(-9, 4) + \
sp.Rational(9, 4) + xi**3*sp.Rational(9, 4), \
xi**2*sp.Rational(-21, 8) + xi*sp.Rational(3, 2), \
sp.Rational(-9, 2) + xi**3*sp.Rational(-9, 2) + \
xi*sp.Rational(9, 2) + xi**2*sp.Rational(9, 2), \
xi*sp.Rational(-9, 4) + xi**2*sp.Rational(-9, 4) + \
sp.Rational(9, 4) + xi**3*sp.Rational(9, 4), \
xi**2*sp.Rational(-1, 2) + xi*sp.Rational(1, 2), \
xi**3*sp.Rational(-5, 4) + xi**2*sp.Rational(-1, 4) + \
sp.Rational(1, 8) + xi*sp.Rational(11, 8), -xi + 2*d*xi, -\
xi**3 + sp.Rational(-1, 8) + xi*sp.Rational(3, 4) + \
xi**2*sp.Rational(3, 8), -xi + xi**2, \
xi**3*sp.Rational(-17, 4) + sp.Rational(-13, 4) + \
xi*sp.Rational(-9, 8) + xi**2*sp.Rational(69, 8), 10*d - 14*\
xi**2 - 4*d*xi**2 + d*xi*sp.Rational(-19, 2) + \
xi**3*sp.Rational(-11, 2) + sp.Rational(7, 4) + \
xi*sp.Rational(127, 8), -10*d + 12*d*xi + \
xi*sp.Rational(-45, 4) + xi**3*sp.Rational(-13, 4) + \
xi**2*sp.Rational(1, 4) + sp.Rational(49, 8), 3*xi - 4*d*xi \
- xi**2, 7*xi + sp.Rational(-37, 8) + xi**3*sp.Rational(-9, \
4) + xi**2*sp.Rational(-1, 8), xi*sp.Rational(-11, 2) + \
sp.Rational(9, 4) + xi**2*sp.Rational(13, 4), -11*xi + \
xi**2*sp.Rational(-53, 8) + xi**3*sp.Rational(13, 2) + \
sp.Rational(89, 8), 9*d - 9*d*xi + sp.Rational(-9, 2) + \
xi*sp.Rational(9, 2), 11*xi + xi**2*sp.Rational(-13, 2) + \
sp.Rational(-9, 2), -d + 4*d*xi**2 + xi*sp.Rational(-105, 8) + \
sp.Rational(-35, 2) + d*xi*sp.Rational(1, 2) + \
xi**3*sp.Rational(21, 4) + xi**2*sp.Rational(67, 8), xi - \
xi**2, -18*d - 20*xi + 18*d*xi + xi**2*sp.Rational(13, 2) \
+ sp.Rational(27, 2), xi - 2*d*xi, d - 3*d*xi + 9*d*xi**2 \
+ 8*xi**3 + d**2*sp.Rational(-27, 8) + xi*sp.Rational(3, 2) + \
sp.Rational(7, 4) + xi**2*sp.Rational(9, 2), -3*xi + 4*d*xi \
+ xi**2, -9*d + 9*d*xi + xi*sp.Rational(-9, 2) + \
sp.Rational(9, 2), 18*d + 18*xi - 18*d*xi + sp.Rational(-27, 2) \
+ xi**2*sp.Rational(-9, 2), xi**2*sp.Rational(-35, 8) + \
xi*sp.Rational(-19, 4) + xi**3*sp.Rational(9, 2) + \
sp.Rational(37, 8), sp.Rational(-9, 4) + xi**2*sp.Rational(-9, 4) \
+ xi*sp.Rational(9, 2), -9*xi + sp.Rational(9, 2) + \
xi**2*sp.Rational(9, 2), sp.Rational(-9, 4) + \
xi**2*sp.Rational(-9, 4) + xi*sp.Rational(9, 2), \
sp.Rational(-63, 8) + xi**2*sp.Rational(-27, 8) + \
xi**3*sp.Rational(-9, 4) + xi*sp.Rational(27, 2), -9*d + 9*d*\
xi + xi*sp.Rational(-9, 2) + sp.Rational(9, 2), -9*xi + \
sp.Rational(9, 2) + xi**2*sp.Rational(9, 2), -9*d + 9*d*xi + \
xi*sp.Rational(-71, 8) + xi**2*sp.Rational(-35, 8) + \
xi**3*sp.Rational(-7, 2) + sp.Rational(125, 8), 18*d + 18*xi - \
18*d*xi + sp.Rational(-27, 2) + xi**2*sp.Rational(-9, 2), \
xi*sp.Rational(-1, 2) + xi**2*sp.Rational(1, 2), 9*d - \
9*d*xi + sp.Rational(-31, 4) + xi**2*sp.Rational(-19, 4) + \
xi**3*sp.Rational(5, 4) + xi*sp.Rational(99, 8), xi - \
xi**2, 9*d - 9*d*xi + sp.Rational(-9, 2) + xi*sp.Rational(9, \
2), -18*d - 18*xi + 18*d*xi + xi**2*sp.Rational(9, 2) + \
sp.Rational(27, 2), xi*sp.Rational(-9, 4) + \
xi**3*sp.Rational(-9, 4) + xi**2*sp.Rational(9, 2), \
xi*sp.Rational(-9, 2) + sp.Rational(9, 4) + \
xi**2*sp.Rational(9, 4), 9*xi + sp.Rational(-9, 2) + \
xi**2*sp.Rational(-9, 2), xi*sp.Rational(-1, 2) + \
xi**2*sp.Rational(-1, 8) + xi**3*sp.Rational(5, 8), -xi**2 + \
xi*sp.Rational(1, 2) + xi**3*sp.Rational(1, 2), 2*xi - 2*d*\
xi + d*xi**2*sp.Rational(-5, 2) + xi**3*sp.Rational(-5, 4) + \
xi**2*sp.Rational(3, 2), -2*xi + 2*d*xi + 3*xi**2 - 2*d*\
xi**2 - xi**3, xi**2*sp.Rational(-43, 8) + sp.Rational(-9, \
8) + xi**3*sp.Rational(17, 8) + xi*sp.Rational(35, 8), \
9*d*xi + 13*xi**2 + xi*sp.Rational(-53, 4) + \
xi**3*sp.Rational(-17, 4) + d*sp.Rational(-9, 2) + \
d*xi**2*sp.Rational(-9, 2) + sp.Rational(9, 2), -3*xi + 4*d*\
xi + 5*d*xi**2 + xi**2*sp.Rational(-11, 4) + \
xi**3*sp.Rational(5, 4), 9*d - 18*d*xi + 9*d*xi**2 + \
xi**2*sp.Rational(-53, 4) + sp.Rational(-27, 4) + \
xi**3*sp.Rational(13, 4) + xi*sp.Rational(67, 4), 3*xi - \
4*d*xi + 4*d*xi**2 + xi**2*sp.Rational(-7, 4) + \
xi**3*sp.Rational(-5, 4), 9*d*xi + 9*xi**2 + \
xi*sp.Rational(-45, 4) + d*sp.Rational(-9, 2) + \
d*xi**2*sp.Rational(-9, 2) + xi**3*sp.Rational(-9, 4) + \
sp.Rational(9, 2), xi**2*sp.Rational(-27, 8) + sp.Rational(-9, 8) \
+ xi**3*sp.Rational(9, 8) + xi*sp.Rational(27, 8), \
xi*sp.Rational(-31, 4) + xi**3*sp.Rational(-13, 4) + \
sp.Rational(9, 4) + xi**2*sp.Rational(35, 4), -9 + 9*d - \
18*d*xi - 22*xi**2 + 9*d*xi**2 + xi**3*sp.Rational(13, 2) \
+ xi*sp.Rational(49, 2), 2*xi - 2*d*xi + \
d*xi**2*sp.Rational(-5, 2) + xi**3*sp.Rational(-5, 4) + \
xi**2*sp.Rational(3, 2), -18*d + 36*d*xi - 18*d*xi**2 + \
xi*sp.Rational(-65, 2) + xi**3*sp.Rational(-11, 2) + \
sp.Rational(27, 2) + xi**2*sp.Rational(49, 2), -2*xi + \
2*d*xi - 2*d*xi**2 + xi**2*sp.Rational(-3, 2) + \
xi**3*sp.Rational(7, 2), -9 + 9*d - 18*d*xi - 18*xi**2 + \
9*d*xi**2 + xi**3*sp.Rational(9, 2) + xi*sp.Rational(45, 2), \
xi*sp.Rational(-27, 4) + xi**3*sp.Rational(-9, 4) + \
sp.Rational(9, 4) + xi**2*sp.Rational(27, 4), \
xi**2*sp.Rational(-27, 8) + sp.Rational(-9, 8) + \
xi**3*sp.Rational(9, 8) + xi*sp.Rational(27, 8), 9*d*xi + 9*\
xi**2 + xi*sp.Rational(-45, 4) + d*sp.Rational(-9, 2) + \
d*xi**2*sp.Rational(-9, 2) + xi**3*sp.Rational(-9, 4) + \
sp.Rational(9, 2), xi*sp.Rational(-1, 2) + \
xi**2*sp.Rational(-1, 8) + xi**3*sp.Rational(5, 8), 9*d - 18*d*\
xi + 9*d*xi**2 + xi**2*sp.Rational(-45, 4) + \
sp.Rational(-27, 4) + xi**3*sp.Rational(9, 4) + \
xi*sp.Rational(63, 4), xi**3*sp.Rational(-7, 4) + \
xi*sp.Rational(1, 2) + xi**2*sp.Rational(5, 4), 9*d*xi + 9*\
xi**2 + xi*sp.Rational(-45, 4) + d*sp.Rational(-9, 2) + \
d*xi**2*sp.Rational(-9, 2) + xi**3*sp.Rational(-9, 4) + \
sp.Rational(9, 2), xi**2*sp.Rational(-27, 8) + sp.Rational(-9, 8) \
+ xi**3*sp.Rational(9, 8) + xi*sp.Rational(27, 8)]