## Dimension 5

L5_1
5.5
a
 (1, 0, 0, 0, 0) (0, 1, 0, 0, 0) (0, 0, 1, 0, 0) (0, 0, 0, 1, 0) (0, 0, 0, 0, 1)
4.31
a
 (1, 0, 0, 0) (0, 1, 0, 0) (0, 0, 1, 0) (0, 0, 0, 1)
3.12
a
 (1, 0, 0) (0, 1, 0) (0, 0, 1)
3.201
a
 (1, 0, 0) (0, 1, 0) (0, 0, 1)
2.011
a
 (1, 0) (0, 1)
2.1001
a
 (1, 0) (0, 1)
1.00001
a
 1
L5_2
 [Y_1, Y_2] = Y_3
4.5
a
 (1, 0, 0, 0) (0, 1, 0, 0) (1, 1, 0, 0) (0, 0, 1, 0) (0, 0, 0, 1)
3.31
a
 (1, 0, -1) (0, 1, 0) (0, 0, 1) (1, 0, 0)
b
 (1, 0, 0) (0, 1, 0) (0, 0, 1) (0, 0, 0)
c
 (1, 0, 0) (0, 1, 0) (0, 0, 1) (0, 1, 1)
d
 (1, 0, 0) (0, 1, 0) (0, 0, 1) (0, 0, 2)
e
 (1, 0, 0) (0, 1, 0) (0, 0, 1) (0, 1, 1)
2.12
a
 (1, 0) (0, 1) (0, 0)
b
 (1, 0) (-1, 1) (0, 1)
c
 (1, 0) (0, 1) (1, 1)
d
 (1, 0) (0, 1) (0, 0)
e
 (1, 0) (0, 1) (0, 2)
f
 (1, 0) (0, 1) (0, 2)
2.201
a
 (1, 0) (0, 1) (0, 0)
b
 (1, -1) (0, 1) (1, 0)
c
 (1, 0) (2, 0) (0, 1)
d
 (1, 0) (0, 1) (0, 0)
e
 (1, 0) (0, 1) (1, 1)
1.011
a
 1 0
b
 1 0
c
 1 2
d
 1 0
e
 1 2
1.1001
a
 1 0
b
 1 2
c
 1 0
0.00001
a
 0
L5_3
 [Y_1, Y_2] = Y_3 [Y_1, Y_3] = Y_4
3.5
a
 (1, 0, 0) (0, 1, 0) (1, 1, 0) (2, 1, 0) (0, 0, 1)
2.201
a
 (1, 0) (0, 1) (0, 0)
2.31
a
 (1, 0) (0, 1) (0, 2) (0, 3)
b
 (1, 0) (0, 1) (0, 2) (0, 0)
c
 (1, 0) (0, 1) (1, 1) (2, 1)
d
 (1, -2) (0, 1) (1, -1) (1, 0)
e
 (1, 0) (0, 1) (1, 1) (1, 2)
f
 (1, -1) (0, 1) (1, 0) (2, -1)
g
 (1, 0) (0, 1) (0, -1) (0, 0)
1.011
a
 1 0
1.1001
a
 1 0
b
 1 0
1.12
a
 1 -1 0
b
 1 2 3
c
 1 2 0
d
 1 -1 0
e
 1 2 0
f
 1 2 3
1.201
a
 1 -1 0
b
 1 2 0
c
 1 2 3
0.00001
a
 0
L5_4
 [Y_1, Y_4] = -Y_5 [Y_2, Y_3] = Y_5
3.5
a
 (1, 0, 0) (0, 1, 0) (0, 0, 1) (-1, 1, 1) (0, 1, 1)
2.12
a
 (1, 0) (0, 1) (1, 1)
2.31
a
 (1, -1) (0, 1) (1, 0) (0, 0)
b
 (1, 0) (0, 1) (-1, 2) (0, 2)
1.011
a
 1 0
1.1001
a
 1 2
1.12
a
 1 2 0
1.201
a
 1 -1 0
0.00001
a
 0
L5_5
 [Y_1, Y_3] = Y_4 [Y_1, Y_4] = Y_5 [Y_2, Y_3] = -Y_5
2.5
a
 (1, 0) (2, 0) (0, 1) (1, 1) (2, 1)
1.011
a
 1 0
1.12
a
 1 2 0
b
 1 2 3
1.31
a
 1 2 3 4
b
 -2 -1 0 1
0.00001
a
 0
L5_6
 [Y_1, Y_2] = Y_3 [Y_1, Y_3] = Y_4 [Y_1, Y_4] = Y_5 [Y_2, Y_3] = Y_5
1.5
a
 1 2 3 4 5
0.00001
a
 0
L5_7
 [Y_1, Y_2] = Y_3 [Y_1, Y_3] = Y_4 [Y_1, Y_4] = Y_5
2.5
a
 (1, 0) (0, 1) (1, 1) (2, 1) (3, 1)
1.1001
a
 1 0
1.31
a
 -2 -1 0 1
b
 1 2 3 0
c
 1 2 3 4
d
 -2 -1 0 1
0.00001
a
 0
L5_8
 [Y_1, Y_2] = Y_3 [Y_1, Y_4] = Y_5
3.5
a
 (1, 0, 0) (0, 1, 0) (1, 1, 0) (0, 0, 1) (1, 0, 1)
2.12
a
 (1, 0) (0, 1) (1, 1)
b
 (1, 0) (0, 1) (0, 0)
2.31
a
 (1, 0) (2, 0) (0, 1) (1, 1)
b
 (1, 0) (0, 1) (1, 1) (0, 0)
c
 (1, 0) (-1, 1) (0, 1) (-1, 2)
1.011
a
 1 0
b
 1 2
c
 1 0
1.1001
a
 1 0
1.12
a
 1 -1 0
b
 1 2 3
1.201
a
 1 2 0
0.00001
a
 0
L5_9
 [Y_1, Y_2] = Y_3 [Y_1, Y_3] = Y_5 [Y_2, Y_3] = Y_4
2.5
a
 (1, 0) (0, 1) (1, 1) (1, 2) (2, 1)
1.12
a
 1 2 3
b
 1 -1 0
1.201
a
 1 2 0
0.00001
a
 0