Minimal resolution for A up to dimension 20

dimension 1

1/1

[1]

Sq(2) [0]

dimension 2

2/2

[1]

Sq(3) [0] Sq(2) [1]

dimension 3

3/3

[1]

Sq(4) [0] Sq(2) [1] Sq(1) [2]

2/3

[2]

Sq(4) [0] Sq(0,1) [1] Sq(1) [2]

1/3

[2]

Sq(4) [0]

dimension 6

2/6

[3]

Sq(1,2) [0] Sq(0,2) [1] Sq(4) [2]

dimension 7

4/7

[1]

Sq(8) [0] Sq(2,1) [1] Sq(1) [2]

3/7

[2]

Sq(8) [0] Sq(2,1) [2] Sq(1) [4]

2/7

[4]

Sq(8) [0] Sq(2,1) [2] Sq(1) [3]

1/7

[3]

Sq(8) [0]

dimension 8

3/8

[3]

Sq(3,2) [0] Sq(0,0,1) [1] Sq(4,1) [1] Sq(7) [1] Sq(3,1) [2] Sq(6) [2] Sq(0,1) [3] Sq(3) [3]

2/8

[5]

Sq(3,2) [0] Sq(5,1) [1] Sq(8) [1] Sq(0,2) [2] Sq(3,1) [2] Sq(2) [3]

dimension 9

5/9

[1]

Sq(10) [0] Sq(0,1) [1] Sq(3) [1]

4/9

[2]

Sq(4,2) [0] Sq(0,0,1) [1] Sq(1,2) [1] Sq(7) [1] Sq(2) [3]

3/9

[4]

Sq(1,3) [0] Sq(5,1) [1] Sq(8) [1] Sq(4,1) [2] Sq(1,1) [3] Sq(4) [3] Sq(3) [4] Sq(2) [5]

dimension 10

6/10

[1]

Sq(11) [0] Sq(2) [1]

dimension 11

7/11

[1]

Sq(12) [0] Sq(2) [1] Sq(1) [2]

6/11

[2]

Sq(12) [0] Sq(0,1) [1] Sq(1) [2]

5/11

[2]

Sq(12) [0] Sq(2,1) [1] Sq(5) [1] Sq(3) [2]

dimension 14

6/14

[3]

Sq(9,2) [0] Sq(0,2) [1] Sq(4) [2] Sq(1) [3]

5/14

[3]

Sq(3,4) [0] Sq(6,3) [0] Sq(0,2) [2] Sq(3,1) [2] Sq(6) [2] Sq(1) [3]

4/14

[3]

Sq(0,5) [0] Sq(6,3) [0] Sq(6,2) [1] Sq(9,1) [1] Sq(5,1) [2] Sq(0,0,1) [3] Sq(4,1) [3] Sq(7) [3] Sq(3,1) [4]

3/14

[5]

Sq(0,5) [0] Sq(3,4) [0] Sq(6,3) [0] Sq(6,0,1) [1] Sq(1,4) [1] Sq(13) [1] Sq(3,3) [2] Sq(6,2) [2] Sq(9,1) [2] Sq(12) [2] Sq(0,3) [3] Sq(3,2) [3] Sq(9) [3] Sq(2,2) [4] Sq(5,1) [4] Sq(8) [4] Sq(0,0,1) [5] Sq(4,1) [5] Sq(7) [5] Sq(1) [6]

2/14

[6]

Sq(0,5) [0] Sq(2,4) [1] Sq(11,1) [1] Sq(0,4) [2] Sq(8) [3]

dimension 15

8/15

[1]

Sq(16) [0] Sq(2,1) [1] Sq(1) [2]

7/15

[2]

Sq(16) [0] Sq(2,1) [2] Sq(1) [4]

6/15

[4]

Sq(16) [0] Sq(2,1) [2] Sq(1) [5]

5/15

[4]

Sq(4,4) [0] Sq(9) [1] Sq(0,0,1) [2] Sq(2) [3]

[5]

Sq(16) [0] Sq(6,1) [1] Sq(1) [4]

4/15

[4]

Sq(16) [0] Sq(6,1) [2] Sq(1) [6]

3/15

[6]

Sq(16) [0] Sq(6,1) [4] Sq(1) [7]

2/15

[7]

Sq(16) [0] Sq(6,1) [3] Sq(1) [4]

1/15

[4]

Sq(16) [0]

dimension 16

7/16

[3]

Sq(11,2) [0] Sq(0,0,1) [1] Sq(4,1) [1] Sq(7) [1] Sq(3,1) [2] Sq(6) [2] Sq(0,1) [3] Sq(3) [3]

6/16

[5]

Sq(11,2) [0] Sq(5,1) [1] Sq(8) [1] Sq(0,2) [2] Sq(3) [3] Sq(2) [4]

2/16

[8]

Sq(5,4) [0] Sq(16) [1] Sq(11,1) [2] Sq(4,2) [3] Sq(7,1) [3] Sq(2) [4]

dimension 17

9/17

[1]

Sq(18) [0] Sq(0,1) [1] Sq(3) [1]

8/17

[2]

Sq(12,2) [0] Sq(0,0,1) [1] Sq(1,2) [1] Sq(7) [1] Sq(2) [3]

7/17

[4]

Sq(9,3) [0] Sq(5,1) [1] Sq(8) [1] Sq(4,1) [2] Sq(1,1) [3] Sq(4) [3] Sq(2) [5] Sq(1) [6]

6/17

[6]

Sq(3,5) [0] Sq(6,4) [0] Sq(1,1) [3] Sq(4) [3] Sq(0,1) [4] Sq(3) [4] Sq(1) [6]

5/17

[6]

Sq(0,6) [0] Sq(3,5) [0] Sq(6,4) [0] Sq(5,2) [1] Sq(11) [1] Sq(6,1) [2] Sq(9) [2] Sq(4) [3] Sq(1) [5]

4/17

[5]

Sq(4,0,2) [0] Sq(3,5) [0] Sq(0,0,0,1) [1] Sq(1,0,2) [1] Sq(3,4) [1] Sq(12,1) [1] Sq(15) [1] Sq(8,1) [2] Sq(10) [3] Sq(2,0,1) [4] Sq(0,3) [4] Sq(3,2) [4] Sq(6,1) [4] Sq(1,1) [5]

3/17

[7]

Sq(6,4) [0] Sq(16) [1] Sq(6,3) [2] Sq(3,3) [3] Sq(2,3) [4] Sq(5,2) [4] Sq(4,2) [5] Sq(3) [7] Sq(2) [8]

dimension 18

10/18

[1]

Sq(19) [0] Sq(2) [1]

5/18

[7]

Sq(4,5) [0] Sq(7,4) [0] Sq(9,1) [1] Sq(12) [1] Sq(4,2) [2] Sq(7,1) [2] Sq(10) [2] Sq(2,1) [3] Sq(2) [5] Sq(1) [6]

4/18

[6]

Sq(1,6) [0] Sq(4,5) [0] Sq(7,4) [0] Sq(10,3) [0] Sq(6,1,1) [1] Sq(7,3) [1] Sq(10,2) [1] Sq(9,1) [2] Sq(12) [2] Sq(4,0,1) [3] Sq(0,1,1) [4] Sq(3,0,1) [4] Sq(1,3) [4] Sq(2,1) [5] Sq(5) [5]

[7]

Sq(2,1,2) [0] Sq(10,3) [0] Sq(2,0,2) [1] Sq(1,5) [1] Sq(10,2) [1] Sq(16) [1] Sq(0,4) [2] Sq(9,1) [2] Sq(12) [2] Sq(8,1) [3] Sq(11) [3] Sq(1,3) [4] Sq(4,2) [4] Sq(7,1) [4] Sq(2,1) [5] Sq(4) [6] Sq(2) [7] Sq(1) [8]

3/18

[8]

Sq(2,1,2) [0] Sq(1,6) [0] Sq(4,5) [0] Sq(10,3) [0] Sq(7,1,1) [1] Sq(2,5) [1] Sq(5,4) [1] Sq(14,1) [1] Sq(17) [1] Sq(2,0,2) [2] Sq(10,2) [2] Sq(13,1) [2] Sq(16) [2] Sq(13) [3] Sq(0,4) [4] Sq(3,3) [4] Sq(12) [4] Sq(4,0,1) [5] Sq(11) [5] Sq(2,1) [6] Sq(5) [6] Sq(4) [7] Sq(0,1) [8] Sq(1) [9]

2/18

[9]

Sq(7,4) [0] Sq(10,3) [0] Sq(6,4) [1] Sq(15,1) [1] Sq(18) [1] Sq(10,2) [2] Sq(16) [2] Sq(0,4) [3] Sq(1,1) [4] Sq(4) [4]

dimension 19

11/19

[1]

Sq(20) [0] Sq(2) [1] Sq(1) [2]

10/19

[2]

Sq(20) [0] Sq(0,1) [1] Sq(1) [2]

9/19

[2]

Sq(20) [0] Sq(2,1) [1] Sq(5) [1] Sq(3) [2]

3/19

[9]

Sq(6,0,2) [0] Sq(5,5) [0] Sq(11,3) [0] Sq(4,0,2) [1] Sq(0,6) [1] Sq(3,5) [1] Sq(3,0,2) [2] Sq(2,5) [2] Sq(5,4) [2] Sq(8,3) [2] Sq(14,1) [2] Sq(0,0,2) [3] Sq(8,2) [3] Sq(11,1) [3] Sq(14) [3] Sq(0,2,1) [4] Sq(10,1) [4] Sq(5,0,1) [5] Sq(9,1) [5] Sq(12) [5] Sq(0,2) [6] Sq(3,1) [6] Sq(6) [6]

dimension 20

6/20

[7]

Sq(0,7) [0] Sq(3,6) [0] Sq(9,1) [1] Sq(6) [4] Sq(1,1) [6] Sq(4) [6] Sq(0,1) [7] Sq(3) [7] Sq(1) [8]

5/20

[8]

Sq(0,7) [0] Sq(12,3) [0] Sq(15,2) [0] Sq(8,2) [1] Sq(14) [1] Sq(12) [2] Sq(4) [5] Sq(1) [8]

4/20

[8]

Sq(0,7) [0] Sq(3,6) [0] Sq(9,4) [0] Sq(12,3) [0] Sq(15,2) [0] Sq(8,1,1) [1] Sq(11,0,1) [1] Sq(12,2) [1] Sq(5,3) [2] Sq(8,2) [2] Sq(11,1) [2] Sq(14) [2] Sq(5,0,1) [4] Sq(3,3) [4] Sq(6,2) [4] Sq(0,0,1) [5] Sq(1,2) [5] Sq(4,1) [5] Sq(7) [5]