***** e6,3 *****

720 cosets
37 double cosets
Sizes:
0: ()
      [1]	1
1: (3)
      [18]	q + 3q^2 + 5q^3 + 5q^4 + 3q^5 +
		q^6
2: (3423)
      [18]	q^4 + 3q^5 + 5q^6 + 5q^7 + 3q^8 +
		q^9
3: (3623)
      [9]	q^4 + 2q^5 + 3q^6 + 2q^7 + q^8
4: (3643)
      [9]	q^4 + 2q^5 + 3q^6 + 2q^7 + q^8
5: (36423)
      [72]	q^5 + 5q^6 + 12q^7 + 18q^8 + 18q^9 +
		12q^10 + 5q^11 + q^12
6: (36234123)
      [18]	q^8 + 3q^9 + 5q^10 + 5q^11 + 3q^12 +
		q^13
7: (34236123)
      [18]	q^8 + 3q^9 + 5q^10 + 5q^11 + 3q^12 +
		q^13
8: (36453423)
      [18]	q^8 + 3q^9 + 5q^10 + 5q^11 + 3q^12 +
		q^13
9: (34236543)
      [18]	q^8 + 3q^9 + 5q^10 + 5q^11 + 3q^12 +
		q^13
10: (345234123)
      [2]	q^9 + q^10
11: (342363423)
      [9]	q^9 + 2q^10 + 3q^11 + 2q^12 + q^13
12: (3645234123)
      [18]	q^10 + 3q^11 + 5q^12 + 5q^13 + 3q^14 +
		q^15
13: (3423634123)
      [36]	q^10 + 4q^11 + 8q^12 + 10q^13 + 8q^14 +
		4q^15 + q^16
14: (3423654123)
      [18]	q^10 + 3q^11 + 5q^12 + 5q^13 + 3q^14 +
		q^15
15: (3423653423)
      [36]	q^10 + 4q^11 + 8q^12 + 10q^13 + 8q^14 +
		4q^15 + q^16
16: (34236534123)
      [72]	q^11 + 5q^12 + 12q^13 + 18q^14 + 18q^15 +
		12q^16 + 5q^17 + q^18
17: (364534236123)
      [3]	q^12 + q^13 + q^14
18: (362341236543)
      [3]	q^12 + q^13 + q^14
19: (3645342364123)
      [36]	q^13 + 4q^14 + 8q^15 + 10q^16 + 8q^17 +
		4q^18 + q^19
20: (3623412365423)
      [36]	q^13 + 4q^14 + 8q^15 + 10q^16 + 8q^17 +
		4q^18 + q^19
21: (34236345234123)
      [18]	q^14 + 3q^15 + 5q^16 + 5q^17 + 3q^18 +
		q^19
22: (34523412363423)
      [18]	q^14 + 3q^15 + 5q^16 + 5q^17 + 3q^18 +
		q^19
23: (362341236234123)
      [3]	q^15 + q^16 + q^17
24: (364534236453423)
      [3]	q^15 + q^16 + q^17
25: (3623412365234123)
      [18]	q^16 + 3q^17 + 5q^18 + 5q^19 + 3q^20 +
		q^21
26: (3645342364534123)
      [18]	q^16 + 3q^17 + 5q^18 + 5q^19 + 3q^20 +
		q^21
27: (3645234123634123)
      [18]	q^16 + 3q^17 + 5q^18 + 5q^19 + 3q^20 +
		q^21
28: (3645234123654123)
      [9]	q^16 + 2q^17 + 3q^18 + 2q^19 + q^20
29: (3645234123653423)
      [18]	q^16 + 3q^17 + 5q^18 + 5q^19 + 3q^20 +
		q^21
30: (36452341236534123)
      [72]	q^17 + 5q^18 + 12q^19 + 18q^20 + 18q^21 +
		12q^22 + 5q^23 + q^24
31: (3452341236345234123)
      [2]	q^19 + q^20
32: (36452341236345234123)
      [18]	q^20 + 3q^21 + 5q^22 + 5q^23 + 3q^24 +
		q^25
33: (342363452341236234123)
      [9]	q^21 + 2q^22 + 3q^23 + 2q^24 + q^25
34: (342363452341236453423)
      [9]	q^21 + 2q^22 + 3q^23 + 2q^24 + q^25
35: (34236345234123645234123)
      [18]	q^23 + 3q^24 + 5q^25 + 5q^26 + 3q^27 +
		q^28
36: (34523412363452341236345234123)
      [1]	q^29

Neighbours of a point in 0:
1:  [18]	q + 3q^2 + 5q^3 + 5q^4 + 3q^5 +
		q^6

Neighbours of a point in 1:
0:  [1]		1
1:  [5]		-1 + q + 3q^2 + 2q^3
2:  [4]		q^3 + 2q^4 + q^5
3:  [2]		q^3 + q^4
4:  [2]		q^3 + q^4
5:  [4]		q^4 + 2q^5 + q^6

Neighbours of a point in 2:
1:  [4]		1 + 2q + q^2
2:  [4]		-1 - q + q^2 + 3q^3 + 2q^4
5:  [4]		q^2 + 2q^3 + q^4
7:  [2]		q^4 + q^5
9:  [2]		q^4 + q^5
10:  [1]	q^5
14:  [1]	q^6

Neighbours of a point in 3:
1:  [4]		1 + 2q + q^2
3:  [2]		-1 - q + q^2 + 2q^3 + q^4
5:  [8]		q^2 + 3q^3 + 3q^4 + q^5
6:  [4]		q^4 + 2q^5 + q^6

Neighbours of a point in 4:
1:  [4]		1 + 2q + q^2
4:  [2]		-1 - q + q^2 + 2q^3 + q^4
5:  [8]		q^2 + 3q^3 + 3q^4 + q^5
8:  [4]		q^4 + 2q^5 + q^6

Neighbours of a point in 5:
1:  [1]		1
2:  [1]		q
3:  [1]		q
4:  [1]		q
5:  [5]		-1 - 2q + 3q^2 + 5q^3
6:  [1]		q^4
7:  [1]		q^4
8:  [1]		q^4
9:  [1]		q^4
11:  [1]	q^4
12:  [1]	q^5
13:  [1]	q^5
15:  [1]	q^5
16:  [1]	q^6

Neighbours of a point in 6:
3:  [2]		1 + q
5:  [4]		q + 2q^2 + q^3
6:  [3]		-1 - q + q^2 + 3q^3 + q^4
12:  [2]	q^4 + q^5
13:  [4]	q^3 + 2q^4 + q^5
18:  [1]	q^4
20:  [2]	q^5 + q^6

Neighbours of a point in 7:
2:  [2]		1 + q
5:  [4]		q + 2q^2 + q^3
7:  [2]		-1 - q + q^2 + 2q^3 + q^4
13:  [4]	q^3 + 2q^4 + q^5
14:  [2]	q^3 + q^4
16:  [4]	q^4 + 2q^5 + q^6

Neighbours of a point in 8:
4:  [2]		1 + q
5:  [4]		q + 2q^2 + q^3
8:  [3]		-1 - q + q^2 + 3q^3 + q^4
12:  [2]	q^4 + q^5
15:  [4]	q^3 + 2q^4 + q^5
17:  [1]	q^4
19:  [2]	q^5 + q^6

Neighbours of a point in 9:
2:  [2]		1 + q
5:  [4]		q + 2q^2 + q^3
9:  [2]		-1 - q + q^2 + 2q^3 + q^4
14:  [2]	q^3 + q^4
15:  [4]	q^3 + 2q^4 + q^5
16:  [4]	q^4 + 2q^5 + q^6

Neighbours of a point in 10:
2:  [9]		1 + 2q + 3q^2 + 2q^3 + q^4
10:  [0]	-1 - q - q^2 + q^3 + q^4 +
		q^5
14:  [9]	q^2 + 2q^3 + 3q^4 + 2q^5 + q^6

Neighbours of a point in 11:
5:  [8]		1 + 3q + 3q^2 + q^3
11:  [0]	-1 - 2q + 2q^3 + q^4
13:  [4]	q^3 + 2q^4 + q^5
15:  [4]	q^3 + 2q^4 + q^5
21:  [2]	q^5 + q^6

Neighbours of a point in 12:
5:  [4]		1 + 2q + q^2
6:  [2]		q^2 + q^3
8:  [2]		q^2 + q^3
12:  [1]	-1 - q - q^2 + q^3 + 2q^4 +
		q^5
16:  [4]	q^2 + 2q^3 + q^4
19:  [2]	q^4 + q^5
20:  [2]	q^4 + q^5
28:  [1]	q^6

Neighbours of a point in 13:
5:  [2]		1 + q
6:  [2]		q + q^2
7:  [2]		q + q^2
11:  [1]	q^2
13:  [4]	-1 - 2q + 4q^3 + 3q^4
16:  [2]	q^3 + q^4
20:  [2]	q^4 + q^5
21:  [1]	q^5
23:  [1]	q^5
25:  [1]	q^6

Neighbours of a point in 14:
2:  [1]		1
7:  [2]		q + q^2
9:  [2]		q + q^2
10:  [1]	q
14:  [4]	-1 - 2q + q^2 + 4q^3 + 2q^4
16:  [4]	q^3 + 2q^4 + q^5
22:  [4]	q^4 + 2q^5 + q^6

Neighbours of a point in 15:
5:  [2]		1 + q
8:  [2]		q + q^2
9:  [2]		q + q^2
11:  [1]	q^2
15:  [4]	-1 - 2q + 4q^3 + 3q^4
16:  [2]	q^3 + q^4
19:  [2]	q^4 + q^5
21:  [1]	q^5
24:  [1]	q^5
26:  [1]	q^6

Neighbours of a point in 16:
5:  [1]		1
7:  [1]		q
9:  [1]		q
12:  [1]	q
13:  [1]	q^2
14:  [1]	q^2
15:  [1]	q^2
16:  [4]	-1 - 2q + 5q^3 + 2q^4
19:  [1]	q^4
20:  [1]	q^4
21:  [1]	q^5
22:  [1]	q^4
27:  [1]	q^5
29:  [1]	q^5
30:  [1]	q^6

Neighbours of a point in 17:
8:  [6]		1 + 2q + 2q^2 + q^3
17:  [0]	-1 - q + q^3 + q^4
19:  [12]	q^2 + 3q^3 + 4q^4 + 3q^5 + q^6

Neighbours of a point in 18:
6:  [6]		1 + 2q + 2q^2 + q^3
18:  [0]	-1 - q + q^3 + q^4
20:  [12]	q^2 + 3q^3 + 4q^4 + 3q^5 + q^6

Neighbours of a point in 19:
8:  [1]		1
12:  [1]	q
15:  [2]	q + q^2
16:  [2]	q^2 + q^3
17:  [1]	q
19:  [4]	-1 - 2q + q^2 + 4q^3 + 2q^4
26:  [2]	q^4 + q^5
27:  [2]	q^4 + q^5
28:  [1]	q^4
30:  [2]	q^5 + q^6

Neighbours of a point in 20:
6:  [1]		1
12:  [1]	q
13:  [2]	q + q^2
16:  [2]	q^2 + q^3
18:  [1]	q
20:  [4]	-1 - 2q + q^2 + 4q^3 + 2q^4
25:  [2]	q^4 + q^5
28:  [1]	q^4
29:  [2]	q^4 + q^5
30:  [2]	q^5 + q^6

Neighbours of a point in 21:
11:  [1]	1
13:  [2]	q + q^2
15:  [2]	q + q^2
16:  [4]	q^2 + 2q^3 + q^4
21:  [1]	-1 - q + q^3 + q^4 + q^5
25:  [2]	q^3 + q^4
26:  [2]	q^3 + q^4
30:  [4]	q^4 + 2q^5 + q^6

Neighbours of a point in 22:
14:  [4]	1 + 2q + q^2
16:  [4]	q + 2q^2 + q^3
22:  [4]	-1 - 2q + 4q^3 + 3q^4
27:  [2]	q^4 + q^5
29:  [2]	q^4 + q^5
31:  [1]	q^5
32:  [1]	q^6

Neighbours of a point in 23:
13:  [12]	1 + 3q + 4q^2 + 3q^3 + q^4
23:  [0]	-1 - 2q - q^2 + q^3 + 2q^4 +
		q^5
25:  [6]	q^3 + 2q^4 + 2q^5 + q^6

Neighbours of a point in 24:
15:  [12]	1 + 3q + 4q^2 + 3q^3 + q^4
24:  [0]	-1 - 2q - q^2 + q^3 + 2q^4 +
		q^5
26:  [6]	q^3 + 2q^4 + 2q^5 + q^6

Neighbours of a point in 25:
13:  [2]	1 + q
20:  [4]	q + 2q^2 + q^3
21:  [2]	q + q^2
23:  [1]	q^2
25:  [3]	-1 - 2q - q^2 + 3q^3 + 3q^4 +
		q^5
30:  [4]	q^3 + 2q^4 + q^5
34:  [2]	q^5 + q^6

Neighbours of a point in 26:
15:  [2]	1 + q
19:  [4]	q + 2q^2 + q^3
21:  [2]	q + q^2
24:  [1]	q^2
26:  [3]	-1 - 2q - q^2 + 3q^3 + 3q^4 +
		q^5
30:  [4]	q^3 + 2q^4 + q^5
33:  [2]	q^5 + q^6

Neighbours of a point in 27:
16:  [4]	1 + 2q + q^2
19:  [4]	q + 2q^2 + q^3
22:  [2]	q^2 + q^3
27:  [2]	-1 - 2q - q^2 + 2q^3 + 3q^4 +
		q^5
30:  [4]	q^3 + 2q^4 + q^5
32:  [2]	q^5 + q^6

Neighbours of a point in 28:
12:  [2]	1 + q
19:  [4]	q + 2q^2 + q^3
20:  [4]	q + 2q^2 + q^3
28:  [0]	-1 - 2q - q^2 + 2q^3 + 2q^4
30:  [8]	q^3 + 3q^4 + 3q^5 + q^6

Neighbours of a point in 29:
16:  [4]	1 + 2q + q^2
20:  [4]	q + 2q^2 + q^3
22:  [2]	q^2 + q^3
29:  [2]	-1 - 2q - q^2 + 2q^3 + 3q^4 +
		q^5
30:  [4]	q^3 + 2q^4 + q^5
32:  [2]	q^5 + q^6

Neighbours of a point in 30:
16:  [1]	1
19:  [1]	q
20:  [1]	q
21:  [1]	q
25:  [1]	q^2
26:  [1]	q^2
27:  [1]	q^2
28:  [1]	q^2
29:  [1]	q^2
30:  [5]	-1 - 2q - 2q^2 + 5q^3 + 5q^4
32:  [1]	q^5
33:  [1]	q^5
34:  [1]	q^5
35:  [1]	q^6

Neighbours of a point in 31:
22:  [9]	1 + 2q + 3q^2 + 2q^3 + q^4
31:  [0]	-1 - q - q^2 + q^3 + q^4 +
		q^5
32:  [9]	q^2 + 2q^3 + 3q^4 + 2q^5 + q^6

Neighbours of a point in 32:
22:  [1]	1
27:  [2]	q + q^2
29:  [2]	q + q^2
30:  [4]	q^2 + 2q^3 + q^4
31:  [1]	q
32:  [4]	-1 - 2q + 3q^3 + 3q^4 + q^5
35:  [4]	q^4 + 2q^5 + q^6

Neighbours of a point in 33:
26:  [4]	1 + 2q + q^2
30:  [8]	q + 3q^2 + 3q^3 + q^4
33:  [2]	-1 - 2q - q^2 + 2q^3 + 3q^4 +
		q^5
35:  [4]	q^4 + 2q^5 + q^6

Neighbours of a point in 34:
25:  [4]	1 + 2q + q^2
30:  [8]	q + 3q^2 + 3q^3 + q^4
34:  [2]	-1 - 2q - q^2 + 2q^3 + 3q^4 +
		q^5
35:  [4]	q^4 + 2q^5 + q^6

Neighbours of a point in 35:
30:  [4]	1 + 2q + q^2
32:  [4]	q + 2q^2 + q^3
33:  [2]	q^2 + q^3
34:  [2]	q^2 + q^3
35:  [5]	-1 - 2q - 2q^2 + 2q^3 + 5q^4 +
		3q^5
36:  [1]	q^6

Neighbours of a point in 36:
35:  [18]	1 + 3q + 5q^2 + 5q^3 + 3q^4 +
		q^5
36:  [0]	-1 - 2q - 2q^2 + 2q^4 + 2q^5 +
		q^6