E² classes by length and colour
Each class is written as (s, c): $s$ is the length of the word (the Adams filtration), $c$ is the colour (the number of letters $\mu$). The colours up to $n=150$ are the $Q$-weight of Ext, checked cell by cell against a direct computation of the metalibrary (method). “Left” means after the rapacious rule (colour $+1$, “low”). The column “family” gives the class standing in the place of a Toda element ($n=4k+2$) or of a sandwich ($n=4m+1$). The colours of these classes run 3 4 4 5 5 6 …, as stated in the lecture.
The picture goes up to $n=100$; the table below, up to $n=150$.
| n | dim E² | classes (s, c) | left after the rule | family (s, c) | Toda 2003 |
|---|---|---|---|---|---|
| 4 | 0 | 0 | |||
| 5 | 0 | 0 | |||
| 6 | 1 | (1,0) | (1,0) | (1, 0) | 1 |
| 7 | 0 | 0 | |||
| 8 | 0 | 0 | |||
| 9 | 1 | (2,0) | (2,0) | (2, 0) | 1 |
| 10 | 1 | (2,1) | (2,1) | (2, 1) | 1 |
| 11 | 0 | 0 | |||
| 12 | 0 | 0 | |||
| 13 | 1 | (3,1) | (3,1) | (3, 1) | 1 |
| 14 | 1 | (3,2) | (3,2) | (3, 2) | 1 |
| 15 | 0 | 0 | |||
| 16 | 1 | (3,0) | (3,0) | 1 | |
| 17 | 1 | (4,2) | (4,2) | (4, 2) | 1 |
| 18 | 1 | (4,3) | (4,3) | (4, 3) | 1 |
| 19 | 1 | (4,0) | (4,0) | 1 | |
| 20 | 1 | (4,1) | (4,1) | 1 | |
| 21 | 1 | (5,3) | (5,3) | (5, 3) | 1 |
| 22 | 1 | (5,4) | (5,4) | (5, 4) | 1 |
| 23 | 1 | (5,1) | 0 | ||
| 24 | 2 | (3,0) (5,2) | 0 | ||
| 25 | 2 | (3,1) (6,4) | (6,4) | (6, 4) | 1 |
| 26 | 2 | (5,0) (6,5) | (5,0) (6,5) | (6, 5) | 2 |
| 27 | 2 | (4,0) (6,2) | (4,0) | 1 | |
| 28 | 2 | (4,1) (6,3) | 0 | ||
| 29 | 3 | (4,2) (6,0) (7,5) | (6,0) (7,5) | (7, 5) | 2 |
| 30 | 2 | (6,1) (7,6) | (6,1) (7,6) | (7, 6) | 2 |
| 31 | 1 | (7,3) | 0 | ||
| 32 | 2 | (5,2) (7,4) | 0 | ||
| 33 | 3 | (5,3) (7,1) (8,6) | (8,6) | (8, 6) | 1 |
| 34 | 3 | (5,0) (7,2) (8,7) | (8,7) | (8, 7) | 1 |
| 35 | 3 | (4,0) (5,1) (8,4) | (4,0) | 1 | |
| 36 | 4 | (4,1) (6,3) (7,0) (8,5) | (4,1) (7,0) | 2 | |
| 37 | 4 | (6,0) (6,4) (8,2) (9,7) | (6,0) (9,7) | (9, 7) | 2 |
| 38 | 3 | (6,1) (8,3) (9,8) | (9,8) | (9, 8) | 1 |
| 39 | 3 | (6,2) (8,0) (9,5) | (8,0) | 1 | |
| 40 | 3 | (7,4) (8,1) (9,6) | (8,1) | 1 | |
| 41 | 3 | (7,5) (9,3) (10,8) | (10,8) | (10, 8) | 1 |
| 42 | 4 | (5,0) (7,2) (9,4) (10,9) | (5,0) (10,9) | (10, 9) | 2 |
| 43 | 4 | (5,1) (7,3) (9,1) (10,6) | (5,1) | 1 | |
| 44 | 4 | (7,0) (8,5) (9,2) (10,7) | 0 | ||
| 45 | 5 | (6,0) (7,1) (8,6) (10,4) (11,9) | (6,0) (11,9) | (11, 9) | 2 |
| 46 | 5 | (6,1) (8,3) (9,0) (10,5) (11,10) | (6,1) (9,0) (11,10) | (11, 10) | 3 |
| 47 | 4 | (8,0) (8,4) (10,2) (11,7) | (8,0) | 1 | |
| 48 | 4 | (8,1) (9,6) (10,3) (11,8) | 0 | ||
| 49 | 5 | (8,2) (9,7) (10,0) (11,5) (12,10) | (10,0) (12,10) | (12, 10) | 1 |
| 50 | 5 | (5,0) (9,4) (10,1) (11,6) (12,11) | (5,0) (10,1) (12,11) | (12, 11) | 1 |
| 51 | 4 | (5,1) (9,5) (11,3) (12,8) | (5,1) | 0 | |
| 52 | 6 | (5,2) (7,0) (9,2) (10,7) (11,4) (12,9) | (5,2) (7,0) | 2 | |
| 53 | 7 | (6,0) (7,1) (9,3) (10,8) (11,1) (12,6) (13,11) | (6,0) (7,1) (13,11) | (13, 11) | 3 |
| 54 | 6 | (6,1) (9,0) (10,5) (11,2) (12,7) (13,12) | (6,1) (13,12) | (13, 12) | 2 |
| 55 | 5 | (8,0) (9,1) (10,6) (12,4) (13,9) | (8,0) | 1 | |
| 56 | 6 | (8,1) (10,3) (11,0) (11,8) (12,5) (13,10) | (8,1) (11,0) | 2 | |
| 57 | 6 | (10,0) (10,4) (11,9) (12,2) (13,7) (14,12) | (10,0) (14,12) | (14, 12) | 2 |
| 58 | 6 | (5,0) (10,1) (11,6) (12,3) (13,8) (14,13) | (5,0) (14,13) | (14, 13) | 2 |
| 59 | 6 | (5,1) (10,2) (11,7) (12,0) (13,5) (14,10) | (5,1) (12,0) | 1 | |
| 60 | 6 | (7,0) (11,4) (12,1) (12,9) (13,6) (14,11) | (7,0) | 0 | |
| 61 | 7 | (6,0) (7,1) (11,5) (12,10) (13,3) (14,8) (15,13) | (7,1) (15,13) | (15, 13) | 2 |
| 62 | 7 | (6,1) (9,0) (11,2) (12,7) (13,4) (14,9) (15,14) | (6,1) (9,0) (15,14) | (15, 14) | 3 |
| 63 | 8 | (6,2) (8,0) (9,1) (11,3) (12,8) (13,1) (14,6) (15,11) | (6,2) (8,0) (9,1) | 2 | |
| 64 | 8 | (6,3) (8,1) (11,0) (12,5) (13,2) (13,10) (14,7) (15,12) | (6,3) (8,1) | 1 | |
| 65 | 7 | (10,0) (11,1) (12,6) (13,11) (14,4) (15,9) (16,14) | (10,0) (16,14) | (16, 14) | 2 |
| 66 | 7 | (10,1) (12,3) (13,0) (13,8) (14,5) (15,10) (16,15) | (10,1) (13,0) (16,15) | (16, 15) | 2 |
| 67 | 7 | (7,3) (12,0) (12,4) (13,9) (14,2) (15,7) (16,12) | (7,3) (12,0) | 0 | |
| 68 | 8 | (7,0) (7,4) (12,1) (13,6) (14,3) (14,11) (15,8) (16,13) | (7,0) (7,4) | 1 | |
| 69 | 8 | (7,1) (12,2) (13,7) (14,0) (14,12) (15,5) (16,10) (17,15) | (7,1) (14,0) (17,15) | (17, 15) | 2 |
| 70 | 7 | (9,0) (13,4) (14,1) (14,9) (15,6) (16,11) (17,16) | (9,0) (17,16) | (17, 16) | 1 |
| 71 | 8 | (8,0) (8,4) (9,1) (13,5) (14,10) (15,3) (16,8) (17,13) | (9,1) | 1 | |
| 72 | 10 | (6,3) (8,1) (8,5) (11,0) (13,2) (14,7) (15,4) (15,12) (16,9) (17,14) | (11,0) | 1 | |
| 73 | 11 | (6,0) (6,4) (10,0) (11,1) (13,3) (14,8) (15,1) (15,13) (16,6) (17,11) (18,16) | (10,0) (11,1) (18,16) | (18, 16) | 1 |
| 74 | 10 | (6,1) (8,3) (10,1) (13,0) (14,5) (15,2) (15,10) (16,7) (17,12) (18,17) | (6,1) (10,1) (18,17) | (18, 17) | 1 |
| 75 | 10 | (6,2) (7,3) (9,5) (12,0) (13,1) (14,6) (15,11) (16,4) (17,9) (18,14) | (7,3) (12,0) | 0 | |
| 76 | 12 | (4,1) (7,0) (7,4) (9,6) (12,1) (14,3) (15,0) (15,8) (16,5) (16,13) (17,10) (18,15) | (4,1) (7,0) (12,1) (15,0) | 0 | |
| 77 | 11 | (7,1) (7,5) (9,3) (14,0) (14,4) (15,9) (16,2) (16,14) (17,7) (18,12) (19,17) | (7,1) (14,0) (19,17) | (19, 17) | 1 |
| 78 | 10 | (7,2) (9,0) (9,4) (14,1) (15,6) (16,3) (16,11) (17,8) (18,13) (19,18) | (9,0) (19,18) | (19, 18) | 2 |
| 79 | 11 | (5,1) (7,3) (9,1) (10,6) (14,2) (15,7) (16,0) (16,12) (17,5) (18,10) (19,15) | (5,1) (9,1) (16,0) | 1 | |
| 80 | 11 | (5,2) (8,5) (10,7) (11,0) (15,4) (16,1) (16,9) (17,6) (17,14) (18,11) (19,16) | (5,2) (11,0) | 0 | |
| 81 | 12 | (6,0) (8,6) (10,0) (10,4) (11,1) (15,5) (16,10) (17,3) (17,15) (18,8) (19,13) (20,18) | (6,0) (20,18) | (20, 18) | 2 |
| 82 | 14 | (5,0) (6,1) (8,3) (8,3) (10,1) (10,5) (13,0) (15,2) (16,7) (17,4) (17,12) (18,9) (19,14) (20,19) | (6,1) (13,0) (20,19) | (20, 19) | 3 |
| 83 | 16 | (5,1) (6,2) (7,3) (8,0) (8,4) (8,4) (11,7) (12,0) (13,1) (15,3) (16,8) (17,1) (17,13) (18,6) (19,11) (20,16) | (5,1) (7,3) (12,0) | — | |
| 84 | 16 | (6,3) (7,0) (7,4) (8,1) (9,6) (10,3) (11,8) (12,1) (15,0) (16,5) (17,2) (17,10) (18,7) (18,15) (19,12) (20,17) | (7,4) (8,1) (12,1) | — | |
| 85 | 14 | (7,1) (8,2) (9,3) (9,7) (11,5) (14,0) (15,1) (16,6) (17,11) (18,4) (18,16) (19,9) (20,14) (21,19) | (7,1) (14,0) (21,19) | (21, 19) | — |
| 86 | 15 | (6,1) (7,2) (9,0) (9,4) (9,4) (11,6) (14,1) (16,3) (17,0) (17,8) (18,5) (18,13) (19,10) (20,15) (21,20) | (6,1) (9,0) (14,1) (17,0) (21,20) | (21, 20) | — |
| 87 | 15 | (5,1) (7,3) (9,1) (9,5) (9,5) (11,3) (12,8) (16,0) (16,4) (17,9) (18,2) (18,14) (19,7) (20,12) (21,17) | (5,1) (9,1) (16,0) | — | |
| 88 | 14 | (7,4) (9,2) (10,7) (11,0) (11,4) (12,9) (16,1) (17,6) (18,3) (18,11) (19,8) (19,16) (20,13) (21,18) | (11,0) | — | |
| 89 | 14 | (7,1) (9,3) (10,8) (11,1) (12,6) (16,2) (17,7) (18,0) (18,12) (19,5) (19,17) (20,10) (21,15) (22,20) | (7,1) (11,1) (18,0) (22,20) | (22, 20) | — |
| 90 | 14 | (7,2) (8,3) (10,5) (10,5) (12,7) (13,0) (17,4) (18,1) (18,9) (19,6) (19,14) (20,11) (21,16) (22,21) | (7,2) (8,3) (13,0) (22,21) | (22, 21) | — |
| 91 | 16 | (8,0) (8,4) (8,4) (10,6) (10,6) (12,0) (12,4) (13,1) (13,9) (17,5) (18,10) (19,3) (19,15) (20,8) (21,13) (22,18) | (8,0) (8,4) | — | |
| 92 | 18 | (7,0) (8,1) (8,5) (10,3) (10,3) (11,8) (12,1) (12,5) (13,10) (15,0) (17,2) (18,7) (19,4) (19,12) (20,9) (20,17) (21,14) (22,19) | (15,0) | — | |
| 93 | 20 | (6,0) (7,1) (8,2) (9,3) (10,0) (10,4) (10,4) (11,9) (13,7) (14,0) (15,1) (17,3) (18,8) (19,1) (19,13) (20,6) (20,18) (21,11) (22,16) (23,21) | (7,1) (9,3) (14,0) (23,21) | (23, 21) | — |
| 94 | 20 | (6,1) (6,1) (8,3) (9,0) (9,4) (10,1) (11,6) (11,6) (12,3) (13,8) (14,1) (17,0) (18,5) (19,2) (19,10) (20,7) (20,15) (21,12) (22,17) (23,22) | (6,1) (6,1) (9,4) (10,1) (14,1) (23,22) | (23, 22) | — |
| 95 | 18 | (6,2) (9,1) (9,5) (10,2) (11,3) (11,7) (11,7) (13,5) (14,10) (16,0) (17,1) (18,6) (19,11) (20,4) (20,16) (21,9) (22,14) (23,19) | (6,2) (9,1) (11,3) (16,0) | — | |
| 96 | 18 | (8,1) (9,6) (11,0) (11,4) (11,4) (12,9) (13,6) (14,11) (16,1) (18,3) (19,0) (19,8) (20,5) (20,13) (21,10) (21,18) (22,15) (23,20) | (8,1) (11,0) (16,1) (19,0) | — | |
| 97 | 18 | (7,1) (9,3) (11,1) (11,5) (11,5) (12,10) (13,3) (14,8) (18,0) (18,4) (19,9) (20,2) (20,14) (21,7) (21,19) (22,12) (23,17) (24,22) | (7,1) (11,1) (18,0) (24,22) | (24, 22) | — |
| 98 | 18 | (7,2) (8,3) (9,4) (11,2) (12,7) (12,7) (13,0) (13,4) (14,9) (18,1) (19,6) (20,3) (20,11) (21,8) (21,16) (22,13) (23,18) (24,23) | (7,2) (8,3) (13,0) (24,23) | (24, 23) | — |
| 99 | 20 | (7,3) (8,0) (8,4) (9,1) (10,6) (11,3) (12,8) (12,8) (13,1) (14,6) (15,11) (18,2) (19,7) (20,0) (20,12) (21,5) (21,17) (22,10) (23,15) (24,20) | (7,3) (8,0) (8,4) (9,1) (13,1) (20,0) | — | |
| 100 | 20 | (8,1) (8,5) (9,2) (10,3) (10,7) (12,5) (12,5) (13,10) (14,7) (15,0) (15,12) (19,4) (20,1) (20,9) (21,6) (21,14) (22,11) (22,19) (23,16) (24,21) | (8,1) (8,5) (9,2) (10,3) (15,0) | — | |
| 101 | 20 | (9,3) (10,0) (10,4) (10,4) (12,6) (12,6) (13,11) (14,0) (14,4) (15,1) (15,9) (19,5) (20,10) (21,3) (21,15) (22,8) (22,20) (23,13) (24,18) (25,23) | (9,3) (10,0) (25,23) | (25, 23) | — |
| 102 | 23 | (6,1) (8,3) (9,0) (9,4) (10,1) (10,5) (12,3) (12,3) (13,8) (13,8) (14,1) (14,5) (15,10) (17,0) (19,2) (20,7) (21,4) (21,12) (22,9) (22,17) (23,14) (24,19) (25,24) | (6,1) (9,4) (10,1) (17,0) (25,24) | (25, 24) | — |
| 103 | 25 | (6,2) (6,2) (8,4) (9,1) (10,2) (11,3) (11,7) (12,0) (12,4) (12,4) (13,9) (13,9) (15,7) (16,0) (16,12) (17,1) (19,3) (20,8) (21,1) (21,13) (22,6) (22,18) (23,11) (24,16) (25,21) | (6,2) (6,2) (9,1) (11,3) (16,0) | — | |
| 104 | 24 | (6,3) (8,1) (10,3) (11,0) (11,4) (11,8) (12,1) (13,6) (13,6) (14,3) (14,11) (15,8) (16,1) (16,13) (19,0) (20,5) (21,2) (21,10) (22,7) (22,15) (23,12) (23,20) (24,17) (25,22) | (11,4) (12,1) (16,1) | — | |
| 105 | 23 | (6,0) (7,1) (8,2) (11,1) (11,5) (12,2) (13,3) (13,7) (13,7) (14,12) (15,5) (16,10) (18,0) (19,1) (20,6) (21,11) (22,4) (22,16) (23,9) (23,21) (24,14) (25,19) (26,24) | (7,1) (11,1) (18,0) (26,24) | (26, 24) | — |
| 106 | 24 | (6,1) (7,2) (8,3) (9,4) (10,1) (11,6) (13,0) (13,4) (13,4) (14,9) (14,9) (15,6) (16,11) (18,1) (20,3) (21,0) (21,8) (22,5) (22,13) (23,10) (23,18) (24,15) (25,20) (26,25) | (8,3) (13,0) (18,1) (21,0) (26,25) | (26, 25) | — |
| 107 | 25 | (7,3) (8,0) (8,4) (9,1) (9,5) (11,3) (12,8) (13,1) (13,5) (13,5) (14,10) (14,10) (15,3) (16,8) (17,13) (20,0) (20,4) (21,9) (22,2) (22,14) (23,7) (23,19) (24,12) (25,17) (26,22) | (8,4) (13,1) (20,0) | — | |
| 108 | 25 | (7,0) (7,4) (8,1) (9,2) (10,3) (11,4) (12,9) (13,2) (14,7) (14,7) (15,0) (15,4) (15,12) (16,9) (17,14) (20,1) (21,6) (22,3) (22,11) (23,8) (23,16) (24,13) (24,21) (25,18) (26,23) | (8,1) (15,0) | — | |
| 109 | 25 | (7,1) (8,2) (9,3) (10,0) (10,4) (11,1) (12,6) (13,3) (14,8) (14,8) (15,1) (15,13) (16,6) (17,11) (20,2) (21,7) (22,0) (22,12) (23,5) (23,17) (24,10) (24,22) (25,15) (26,20) (27,25) | (10,0) (10,4) (15,1) (22,0) (27,25) | (27, 25) | — |
| 110 | 26 | (6,1) (7,2) (9,0) (9,4) (10,1) (10,5) (11,2) (12,3) (12,7) (14,5) (14,5) (15,10) (15,10) (16,7) (17,0) (17,12) (21,4) (22,1) (22,9) (23,6) (23,14) (24,11) (24,19) (25,16) (26,21) (27,26) | (6,1) (9,4) (10,1) (12,3) (17,0) (27,26) | (27, 26) | — |
| 111 | 27 | (5,1) (8,4) (9,1) (9,5) (11,3) (12,0) (12,4) (12,4) (13,9) (14,6) (14,6) (15,11) (15,11) (16,0) (16,4) (17,1) (17,9) (18,14) (21,5) (22,10) (23,3) (23,15) (24,8) (24,20) (25,13) (26,18) (27,23) | (5,1) (9,5) (11,3) (12,0) (12,4) | — | |
| 112 | 27 | (8,1) (8,5) (11,0) (11,4) (12,1) (12,5) (13,10) (14,3) (14,3) (15,8) (15,8) (16,1) (16,5) (16,13) (17,10) (18,15) (19,0) (21,2) (22,7) (23,4) (23,12) (24,9) (24,17) (25,14) (25,22) (26,19) (27,24) | (8,1) (8,5) (11,4) (12,1) (19,0) | — | |
| 113 | 28 | (7,1) (8,2) (8,2) (11,1) (12,2) (13,3) (13,7) (14,0) (14,4) (14,4) (15,9) (15,9) (16,14) (17,7) (18,0) (18,12) (19,1) (21,3) (22,8) (23,1) (23,13) (24,6) (24,18) (25,11) (25,23) (26,16) (27,21) (28,26) | (7,1) (8,2) (11,1) (18,0) (28,26) | (28, 26) | — |
| 114 | 29 | (6,1) (7,2) (7,2) (8,3) (10,1) (12,3) (13,0) (13,4) (13,8) (14,1) (15,6) (15,6) (16,3) (16,11) (16,11) (17,8) (18,1) (18,13) (21,0) (22,5) (23,2) (23,10) (24,7) (24,15) (25,12) (25,20) (26,17) (27,22) (28,27) | (7,2) (14,1) (18,1) (28,27) | (28, 27) | — |
| 115 | 29 | (6,2) (7,3) (8,0) (9,1) (9,5) (10,2) (13,1) (13,5) (14,2) (14,10) (15,3) (15,7) (15,7) (16,12) (16,12) (17,5) (18,10) (19,15) (20,0) (21,1) (22,6) (23,11) (24,4) (24,16) (25,9) (25,21) (26,14) (27,19) (28,24) | (9,5) (13,1) (15,3) (20,0) | — | |
| 116 | 29 | (7,0) (8,1) (9,2) (9,6) (10,3) (12,1) (13,6) (14,11) (15,0) (15,4) (15,4) (16,9) (16,9) (17,6) (17,14) (18,11) (19,16) (20,1) (22,3) (23,0) (23,8) (24,5) (24,13) (25,10) (25,18) (26,15) (26,23) (27,20) (28,25) | (9,6) (10,3) (15,0) (23,0) | — | |
| 117 | 29 | (6,0) (7,1) (9,3) (10,0) (10,4) (11,1) (13,3) (14,8) (15,1) (15,5) (15,5) (16,10) (16,10) (17,3) (17,15) (18,8) (19,13) (22,0) (22,4) (23,9) (24,2) (24,14) (25,7) (25,19) (26,12) (26,24) (27,17) (28,22) (29,27) | (10,4) (15,1) (22,0) (29,27) | (29, 27) | — |
| 118 | 29 | (6,1) (7,2) (9,0) (9,4) (10,1) (11,2) (12,3) (13,4) (14,9) (15,2) (16,7) (16,7) (17,0) (17,4) (17,12) (17,12) (18,9) (19,14) (22,1) (23,6) (24,3) (24,11) (25,8) (25,16) (26,13) (26,21) (27,18) (28,23) (29,28) | (6,1) (10,1) (12,3) (17,0) (29,28) | (29, 28) | — |
| 119 | 28 | (7,3) (9,1) (11,3) (12,0) (12,4) (13,1) (14,6) (15,3) (15,11) (16,8) (16,8) (17,1) (17,13) (17,13) (18,6) (19,11) (20,16) (22,2) (23,7) (24,0) (24,12) (25,5) (25,17) (26,10) (26,22) (27,15) (28,20) (29,25) | (12,0) (12,4) (17,1) (24,0) | — | |
| 120 | 29 | (8,1) (9,2) (11,0) (11,4) (12,1) (13,2) (14,3) (14,7) (15,12) (16,5) (16,5) (17,10) (17,10) (18,7) (18,15) (19,0) (19,12) (20,17) (23,4) (24,1) (24,9) (25,6) (25,14) (26,11) (26,19) (27,16) (27,24) (28,21) (29,26) | (8,1) (12,1) (19,0) | — | |
| 121 | 30 | (7,1) (8,2) (9,3) (11,1) (13,3) (14,0) (14,4) (14,4) (15,9) (16,6) (16,6) (17,11) (17,11) (18,0) (18,4) (18,16) (19,1) (19,9) (20,14) (23,5) (24,10) (25,3) (25,15) (26,8) (26,20) (27,13) (27,25) (28,18) (29,23) (30,28) | (7,1) (13,3) (14,0) (30,28) | (30, 28) | — |
| 122 | 30 | (8,3) (10,1) (11,6) (13,0) (13,4) (14,1) (14,5) (15,10) (16,3) (16,3) (17,8) (17,8) (18,1) (18,5) (18,13) (18,13) (19,10) (20,15) (21,0) (23,2) (24,7) (25,4) (25,12) (26,9) (26,17) (27,14) (27,22) (28,19) (29,24) (30,29) | (10,1) (11,6) (13,4) (14,1) (21,0) (30,29) | (30, 29) | — |
| 123 | 31 | (9,1) (10,2) (10,6) (13,1) (14,2) (15,3) (15,7) (16,0) (16,4) (16,4) (16,12) (17,9) (17,9) (18,14) (18,14) (19,7) (20,0) (20,12) (21,1) (21,17) (23,3) (24,8) (25,1) (25,13) (26,6) (26,18) (27,11) (27,23) (28,16) (29,21) (30,26) | (9,1) (10,2) (10,6) (13,1) (20,0) | — | |
| 124 | 31 | (9,2) (10,3) (12,1) (14,3) (15,0) (15,4) (15,8) (16,1) (16,13) (17,6) (17,6) (18,3) (18,11) (18,11) (19,8) (19,16) (20,1) (20,13) (21,18) (23,0) (24,5) (25,2) (25,10) (26,7) (26,15) (27,12) (27,20) (28,17) (28,25) (29,22) (30,27) | (10,3) (15,4) (16,1) (20,1) | — | |
| 125 | 31 | (10,0) (10,4) (11,1) (12,2) (12,6) (15,1) (15,5) (16,2) (16,10) (17,3) (17,7) (17,7) (18,12) (18,12) (19,5) (19,17) (20,10) (21,15) (22,0) (23,1) (24,6) (25,11) (26,4) (26,16) (27,9) (27,21) (28,14) (28,26) (29,19) (30,24) (31,29) | (10,4) (11,1) (12,6) (15,1) (22,0) (31,29) | (31, 29) | — |
| 126 | 30 | (10,1) (11,2) (12,3) (12,7) (14,1) (15,6) (16,11) (17,0) (17,4) (17,4) (18,9) (18,9) (19,6) (19,14) (19,14) (20,11) (21,16) (22,1) (24,3) (25,0) (25,8) (26,5) (26,13) (27,10) (27,18) (28,15) (28,23) (29,20) (30,25) (31,30) | (12,3) (12,7) (17,0) (22,1) (25,0) (31,30) | (31, 30) | — |
| 127 | 29 | (12,0) (12,4) (13,1) (15,3) (16,8) (17,1) (17,5) (17,5) (17,13) (18,10) (18,10) (19,3) (19,15) (19,15) (20,8) (21,13) (22,18) (24,0) (24,4) (25,9) (26,2) (26,14) (27,7) (27,19) (28,12) (28,24) (29,17) (30,22) (31,27) | (12,4) (17,1) (24,0) | — | |
| 128 | 31 | (8,1) (11,0) (12,1) (13,2) (14,3) (15,4) (16,9) (17,2) (17,14) (18,7) (18,7) (19,0) (19,4) (19,12) (19,12) (20,9) (20,17) (21,14) (22,19) (24,1) (25,6) (26,3) (26,11) (27,8) (27,16) (28,13) (28,21) (29,18) (29,26) (30,23) (31,28) | (8,1) (12,1) (19,0) | — | |
| 129 | 33 | (8,2) (9,3) (11,1) (13,3) (13,7) (14,0) (14,4) (15,1) (16,6) (17,3) (17,11) (18,8) (18,8) (19,1) (19,13) (19,13) (20,6) (20,18) (21,11) (22,16) (24,2) (25,7) (26,0) (26,12) (27,5) (27,17) (28,10) (28,22) (29,15) (29,27) (30,20) (31,25) (32,30) | (9,3) (13,3) (14,0) (19,1) (26,0) (32,30) | (32, 30) | — |
| 130 | 34 | (8,3) (9,4) (10,1) (11,6) (13,0) (13,4) (13,8) (14,1) (15,2) (16,3) (16,7) (17,12) (18,5) (18,5) (19,10) (19,10) (20,7) (20,15) (20,15) (21,0) (21,12) (22,17) (25,4) (26,1) (26,9) (27,6) (27,14) (28,11) (28,19) (29,16) (29,24) (30,21) (31,26) (32,31) | (9,4) (10,1) (14,1) (21,0) (32,31) | (32, 31) | — |
| 131 | 36 | (8,4) (9,1) (10,2) (10,6) (11,3) (11,7) (13,1) (15,3) (16,0) (16,4) (16,4) (17,9) (18,6) (18,6) (18,14) (19,11) (19,11) (20,0) (20,4) (20,16) (20,16) (21,1) (21,9) (22,14) (23,19) (25,5) (26,10) (27,3) (27,15) (28,8) (28,20) (29,13) (29,25) (30,18) (31,23) (32,28) | (8,4) (9,1) (10,6) (15,3) (16,0) | — | |
| 132 | 37 | (9,2) (10,3) (10,7) (11,4) (12,1) (13,6) (15,0) (15,4) (16,1) (16,5) (17,10) (18,3) (18,3) (18,15) (19,8) (19,8) (20,1) (20,5) (20,13) (20,13) (21,10) (21,18) (22,15) (23,0) (23,20) (25,2) (26,7) (27,4) (27,12) (28,9) (28,17) (29,14) (29,22) (30,19) (30,27) (31,24) (32,29) | (10,7) (11,4) (12,1) (15,4) (16,1) (23,0) | — | |
| 133 | 38 | (7,1) (10,4) (11,1) (11,5) (12,2) (12,6) (14,8) (15,1) (16,2) (17,3) (17,7) (18,0) (18,4) (18,4) (18,12) (19,9) (19,9) (20,14) (20,14) (21,7) (21,19) (22,0) (22,12) (23,1) (23,17) (25,3) (26,8) (27,1) (27,13) (28,6) (28,18) (29,11) (29,23) (30,16) (30,28) (31,21) (32,26) (33,31) | (10,4) (11,1) (15,1) (22,0) (33,31) | (33, 31) | — |
| 134 | 38 | (6,1) (9,4) (10,5) (11,2) (12,3) (12,7) (14,1) (14,9) (16,3) (17,0) (17,4) (17,8) (18,1) (18,13) (19,6) (19,6) (20,3) (20,11) (20,11) (21,8) (21,16) (21,16) (22,1) (22,13) (23,18) (25,0) (26,5) (27,2) (27,10) (28,7) (28,15) (29,12) (29,20) (30,17) (30,25) (31,22) (32,27) (33,32) | (9,4) (12,3) (17,4) (18,1) (22,1) (33,32) | (33, 32) | — |
| 135 | 36 | (8,4) (12,0) (12,4) (12,8) (13,1) (14,2) (14,6) (17,1) (17,5) (18,2) (18,10) (19,3) (19,7) (19,7) (19,15) (20,12) (20,12) (21,5) (21,17) (21,17) (22,10) (23,15) (24,0) (24,20) (25,1) (26,6) (27,11) (28,4) (28,16) (29,9) (29,21) (30,14) (30,26) (31,19) (32,24) (33,29) | (8,4) (12,4) (13,1) (17,1) (24,0) | — | |
| 136 | 36 | (8,1) (12,1) (12,5) (13,2) (14,3) (14,7) (16,1) (17,6) (18,11) (19,0) (19,4) (19,4) (19,16) (20,9) (20,9) (21,6) (21,14) (21,14) (22,11) (22,19) (23,16) (24,1) (24,21) (26,3) (27,0) (27,8) (28,5) (28,13) (29,10) (29,18) (30,15) (30,23) (31,20) (31,28) (32,25) (33,30) | (8,1) (19,0) (24,1) (27,0) | — | |
| 137 | 37 | (8,2) (8,2) (10,4) (12,6) (14,0) (14,4) (15,1) (15,9) (17,3) (18,8) (19,1) (19,5) (19,5) (19,13) (20,10) (20,10) (21,3) (21,15) (21,15) (22,8) (22,20) (23,13) (24,18) (26,0) (26,4) (27,9) (28,2) (28,14) (29,7) (29,19) (30,12) (30,24) (31,17) (31,29) (32,22) (33,27) (34,32) | (8,2) (14,4) (19,1) (26,0) (34,32) | (34, 32) | — |
| 138 | 38 | (8,3) (10,1) (10,5) (11,6) (13,0) (13,8) (14,1) (15,2) (15,10) (16,3) (17,4) (18,9) (19,2) (19,14) (20,7) (20,7) (21,0) (21,4) (21,12) (21,12) (22,9) (22,17) (22,17) (23,14) (24,19) (26,1) (27,6) (28,3) (28,11) (29,8) (29,16) (30,13) (30,21) (31,18) (31,26) (32,23) (33,28) (34,33) | (10,5) (11,6) (14,1) (16,3) (21,0) (34,33) | (34, 33) | — |
| 139 | 39 | (8,0) (10,2) (11,3) (11,7) (13,1) (13,9) (15,3) (15,7) (16,0) (16,4) (17,1) (18,6) (19,3) (19,11) (20,8) (20,8) (20,16) (21,1) (21,13) (21,13) (22,6) (22,18) (22,18) (23,11) (24,16) (25,21) (26,2) (27,7) (28,0) (28,12) (29,5) (29,17) (30,10) (30,22) (31,15) (31,27) (32,20) (33,25) (34,30) | (11,3) (11,7) (15,3) (16,0) (28,0) | — | |
| 140 | 41 | (7,0) (8,1) (10,3) (11,4) (12,1) (13,6) (13,6) (15,0) (15,4) (15,8) (16,1) (17,2) (18,3) (18,7) (19,12) (20,5) (20,5) (20,17) (21,10) (21,10) (22,7) (22,15) (22,15) (23,0) (23,12) (23,20) (24,17) (25,22) (27,4) (28,1) (28,9) (29,6) (29,14) (30,11) (30,19) (31,16) (31,24) (32,21) (32,29) (33,26) (34,31) | (12,1) (16,1) (23,0) | — | |
| 141 | 44 | (7,1) (9,3) (10,4) (11,1) (11,5) (12,2) (12,6) (13,3) (13,7) (13,7) (15,1) (16,10) (17,3) (18,0) (18,4) (18,4) (19,9) (20,6) (20,6) (20,14) (21,11) (21,11) (22,0) (22,4) (22,16) (22,16) (23,1) (23,9) (23,21) (24,14) (25,19) (27,5) (28,10) (29,3) (29,15) (30,8) (30,20) (31,13) (31,25) (32,18) (32,30) (33,23) (34,28) (35,33) | (7,1) (10,4) (11,1) (12,6) (17,3) (18,0) (35,33) | (35, 33) | — |
| 142 | 44 | (9,4) (9,4) (11,2) (11,6) (12,3) (12,7) (13,4) (14,1) (14,9) (15,6) (16,11) (17,0) (17,4) (18,1) (18,5) (19,10) (20,3) (20,3) (20,15) (21,8) (21,8) (22,1) (22,5) (22,13) (22,13) (23,10) (23,18) (23,18) (24,15) (25,0) (25,20) (27,2) (28,7) (29,4) (29,12) (30,9) (30,17) (31,14) (31,22) (32,19) (32,27) (33,24) (34,29) (35,34) | (9,4) (9,4) (12,7) (13,4) (14,1) (17,4) (18,1) (25,0) (35,34) | (35, 34) | — |
| 143 | 43 | (9,1) (9,5) (12,4) (13,1) (13,5) (14,2) (14,6) (14,10) (16,8) (17,1) (18,2) (19,3) (19,7) (20,0) (20,4) (20,4) (20,12) (21,9) (21,9) (21,17) (22,14) (22,14) (23,7) (23,19) (23,19) (24,0) (24,12) (25,1) (25,17) (26,22) (27,3) (28,8) (29,1) (29,13) (30,6) (30,18) (31,11) (31,23) (32,16) (32,28) (33,21) (34,26) (35,31) | (9,5) (12,4) (13,1) (14,6) (17,1) (24,0) | — | |
| 144 | 43 | (8,1) (9,2) (11,4) (13,2) (14,3) (14,7) (14,7) (16,1) (16,9) (18,3) (19,0) (19,4) (19,8) (20,1) (20,13) (21,6) (21,6) (21,18) (22,3) (22,11) (22,11) (23,8) (23,16) (23,16) (24,1) (24,13) (24,21) (25,18) (26,23) (27,0) (28,5) (29,2) (29,10) (30,7) (30,15) (31,12) (31,20) (32,17) (32,25) (33,22) (33,30) (34,27) (35,32) | (14,3) (19,4) (20,1) (24,1) | — | |
| 145 | 44 | (7,1) (9,3) (10,4) (12,6) (14,0) (14,4) (14,8) (14,8) (15,1) (16,2) (16,6) (17,11) (19,1) (19,5) (20,2) (20,10) (21,3) (21,7) (21,7) (21,15) (22,12) (22,12) (23,5) (23,17) (23,17) (24,10) (24,22) (25,15) (26,0) (26,20) (27,1) (28,6) (29,11) (30,4) (30,16) (31,9) (31,21) (32,14) (32,26) (33,19) (33,31) (34,24) (35,29) (36,34) | (10,4) (14,4) (15,1) (19,1) (26,0) (36,34) | (36, 34) | — |
| 146 | 44 | (7,2) (10,1) (10,5) (11,6) (12,7) (14,1) (14,5) (15,2) (15,10) (16,3) (16,7) (17,12) (18,1) (19,6) (20,11) (21,0) (21,4) (21,4) (21,16) (22,9) (22,9) (23,6) (23,14) (23,14) (24,11) (24,19) (24,19) (25,16) (26,1) (26,21) (28,3) (29,0) (29,8) (30,5) (30,13) (31,10) (31,18) (32,15) (32,23) (33,20) (33,28) (34,25) (35,30) (36,35) | (7,2) (10,1) (10,5) (11,6) (21,0) (26,1) (29,0) (36,35) | (36, 35) | — |
| 147 | 43 | (10,2) (10,6) (11,3) (11,7) (12,4) (14,6) (15,11) (16,0) (16,4) (17,1) (17,9) (19,3) (20,8) (21,1) (21,5) (21,5) (21,13) (22,10) (22,10) (22,18) (23,3) (23,15) (23,15) (24,8) (24,20) (24,20) (25,13) (26,18) (27,23) (28,0) (28,4) (29,9) (30,2) (30,14) (31,7) (31,19) (32,12) (32,24) (33,17) (33,29) (34,22) (35,27) (36,32) | (10,6) (11,3) (11,7) (16,4) (21,1) (28,0) | — | |
| 148 | 45 | (10,3) (11,4) (11,8) (12,1) (12,5) (13,6) (15,0) (15,8) (15,8) (16,1) (17,2) (17,10) (18,3) (19,4) (20,9) (21,2) (21,14) (22,7) (22,7) (22,19) (23,0) (23,4) (23,12) (23,12) (24,9) (24,17) (24,17) (25,14) (25,22) (26,19) (27,24) (28,1) (29,6) (30,3) (30,11) (31,8) (31,16) (32,13) (32,21) (33,18) (33,26) (34,23) (34,31) (35,28) (36,33) | (11,4) (11,8) (12,1) (13,6) (16,1) (23,0) | — | |
| 149 | 47 | (8,2) (10,4) (12,2) (12,6) (13,3) (13,7) (13,7) (15,1) (15,9) (15,9) (17,3) (17,7) (18,0) (18,4) (18,12) (19,1) (20,6) (21,3) (21,11) (22,8) (22,8) (22,16) (23,1) (23,13) (23,13) (24,6) (24,18) (24,18) (25,11) (25,23) (26,16) (27,21) (28,2) (29,7) (30,0) (30,12) (31,5) (31,17) (32,10) (32,22) (33,15) (33,27) (34,20) (34,32) (35,25) (36,30) (37,35) | (8,2) (12,6) (13,3) (17,3) (18,0) (23,1) (30,0) (37,35) | (37, 35) | — |
| 150 | 48 | (8,3) (9,4) (11,6) (12,3) (12,7) (13,4) (13,8) (14,1) (15,6) (15,6) (16,11) (17,0) (17,4) (17,8) (18,1) (18,13) (19,2) (20,3) (20,7) (21,12) (22,5) (22,5) (22,17) (23,10) (23,10) (24,7) (24,15) (24,15) (25,0) (25,12) (25,20) (25,20) (26,17) (27,22) (29,4) (30,1) (30,9) (31,6) (31,14) (32,11) (32,19) (33,16) (33,24) (34,21) (34,29) (35,26) (36,31) (37,36) | — | (37, 36) | — |
Data: e2_coloured.csv ($E^2$ by $(n,s,\text{colour})$, $n\le150$); e2_metalib.csv (direct enumeration: the number of words, the rank of the differential, the homology by blocks, $n\le64$).