The chart below lists, for serial numbers up to 125, the cards that have valences 2 through 6. As in other tables, a light red background means that numbers may be repeated among the indices, blue means that they may not. Designators for standard packs are rendered in reverse colors.
| Serial | Valence 2 | Valence 3 | Valence 4 | Valence 5 | Valence 6 | Serial | |||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0-0 | 1-0 | 0-0-0 | 2-1-0 | 0-0-0-0 | 3-2-1-0 | 0-0-0-0-0 | 4-3-2-1-0 | 0-0-0-0-0-0 | 5-4-3-2-1-0 | 0 |
| 1 | 1-0 | 2-0 | 1-0-0 | 3-1-0 | 1-0-0-0 | 4-2-1-0 | 1-0-0-0-0 | 5-3-2-1-0 | 1-0-0-0-0-0 | 6-4-3-2-1-0 | 1 |
| 2 | 1-1 | 2-1 | 1-1-0 | 3-2-0 | 1-1-0-0 | 4-3-1-0 | 1-1-0-0-0 | 5-4-2-1-0 | 1-1-0-0-0-0 | 6-5-3-2-1-0 | 2 |
| 3 | 2-0 | 3-0 | 1-1-1 | 3-2-1 | 1-1-1-0 | 4-3-2-0 | 1-1-1-0-0 | 5-4-3-1-0 | 1-1-1-0-0-0 | 6-5-4-2-1-0 | 3 |
| 4 | 2-1 | 3-1 | 2-0-0 | 4-1-0 | 1-1-1-1 | 4-3-2-1 | 1-1-1-1-0 | 5-4-3-2-0 | 1-1-1-1-0-0 | 6-5-4-3-1-0 | 4 |
| 5 | 2-2 | 3-2 | 2-1-0 | 4-2-0 | 2-0-0-0 | 5-2-1-0 | 1-1-1-1-1 | 5-4-3-2-1 | 1-1-1-1-1-0 | 6-5-4-3-2-0 | 5 |
| 6 | 3-0 | 4-0 | 2-1-1 | 4-2-1 | 2-1-0-0 | 5-3-1-0 | 2-0-0-0-0 | 6-3-2-1-0 | 1-1-1-1-1-1 | 6-5-4-3-2-1 | 6 |
| 7 | 3-1 | 4-1 | 2-2-0 | 4-3-0 | 2-1-1-0 | 5-3-2-0 | 2-1-0-0-0 | 6-4-2-1-0 | 2-0-0-0-0-0 | 7-4-3-2-1-0 | 7 |
| 8 | 3-2 | 4-2 | 2-2-1 | 4-3-1 | 2-1-1-1 | 5-3-2-1 | 2-1-1-0-0 | 6-4-3-1-0 | 2-1-0-0-0-0 | 7-5-3-2-1-0 | 8 |
| 9 | 3-3 | 4-3 | 2-2-2 | 4-3-2 | 2-2-0-0 | 5-4-1-0 | 2-1-1-1-0 | 6-4-3-2-0 | 2-1-1-0-0-0 | 7-5-4-2-1-0 | 9 |
| 10 | 4-0 | 5-0 | 3-0-0 | 5-1-0 | 2-2-1-0 | 5-4-2-0 | 2-1-1-1-1 | 6-4-3-2-1 | 2-1-1-1-0-0 | 7-5-4-3-1-0 | 10 |
| 11 | 4-1 | 5-1 | 3-1-0 | 5-2-0 | 2-2-1-1 | 5-4-2-1 | 2-2-0-0-0 | 6-5-2-1-0 | 2-1-1-1-1-0 | 7-5-4-3-2-0 | 11 |
| 12 | 4-2 | 5-2 | 3-1-1 | 5-2-1 | 2-2-2-0 | 5-4-3-0 | 2-2-1-0-0 | 6-5-3-1-0 | 2-1-1-1-1-1 | 7-5-4-3-2-1 | 12 |
| 13 | 4-3 | 5-3 | 3-2-0 | 5-3-0 | 2-2-2-1 | 5-4-3-1 | 2-2-1-1-0 | 6-5-3-2-0 | 2-2-0-0-0-0 | 7-6-3-2-1-0 | 13 |
| 14 | 4-4 | 5-4 | 3-2-1 | 5-3-1 | 2-2-2-2 | 5-4-3-2 | 2-2-1-1-1 | 6-5-3-2-1 | 2-2-1-0-0-0 | 7-6-4-2-1-0 | 14 |
| 15 | 5-0 | 6-0 | 3-2-2 | 5-3-2 | 3-0-0-0 | 6-2-1-0 | 2-2-2-0-0 | 6-5-4-1-0 | 2-2-1-1-0-0 | 7-6-4-3-1-0 | 15 |
| 16 | 5-1 | 6-1 | 3-3-0 | 5-4-0 | 3-1-0-0 | 6-3-1-0 | 2-2-2-1-0 | 6-5-4-2-0 | 2-2-1-1-1-0 | 7-6-4-3-2-0 | 16 |
| 17 | 5-2 | 6-2 | 3-3-1 | 5-4-1 | 3-1-1-0 | 6-3-2-0 | 2-2-2-1-1 | 6-5-4-2-1 | 2-2-1-1-1-1 | 7-6-4-3-2-1 | 17 |
| 18 | 5-3 | 6-3 | 3-3-2 | 5-4-2 | 3-1-1-1 | 6-3-2-1 | 2-2-2-2-0 | 6-5-4-3-0 | 2-2-2-0-0-0 | 7-6-5-2-1-0 | 18 |
| 19 | 5-4 | 6-4 | 3-3-3 | 5-4-3 | 3-2-0-0 | 6-4-1-0 | 2-2-2-2-1 | 6-5-4-3-1 | 2-2-2-1-0-0 | 7-6-5-3-1-0 | 19 |
| 20 | 5-5 | 6-5 | 4-0-0 | 6-1-0 | 3-2-1-0 | 6-4-2-0 | 2-2-2-2-2 | 6-5-4-3-2 | 2-2-2-1-1-0 | 7-6-5-3-2-0 | 20 |
| 21 | 6-0 | 7-0 | 4-1-0 | 6-2-0 | 3-2-1-1 | 6-4-2-1 | 3-0-0-0-0 | 7-3-2-1-0 | 2-2-2-1-1-1 | 7-6-5-3-2-1 | 21 |
| 22 | 6-1 | 7-1 | 4-1-1 | 6-2-1 | 3-2-2-0 | 6-4-3-0 | 3-1-0-0-0 | 7-4-2-1-0 | 2-2-2-2-0-0 | 7-6-5-4-1-0 | 22 |
| 23 | 6-2 | 7-2 | 4-2-0 | 6-3-0 | 3-2-2-1 | 6-4-3-1 | 3-1-1-0-0 | 7-4-3-1-0 | 2-2-2-2-1-0 | 7-6-5-4-2-0 | 23 |
| 24 | 6-3 | 7-3 | 4-2-1 | 6-3-1 | 3-2-2-2 | 6-4-3-2 | 3-1-1-1-0 | 7-4-3-2-0 | 2-2-2-2-1-1 | 7-6-5-4-2-1 | 24 |
| 25 | 6-4 | 7-4 | 4-2-2 | 6-3-2 | 3-3-0-0 | 6-5-1-0 | 3-1-1-1-1 | 7-4-3-2-1 | 2-2-2-2-2-0 | 7-6-5-4-3-0 | 25 |
| 26 | 6-5 | 7-5 | 4-3-0 | 6-4-0 | 3-3-1-0 | 6-5-2-0 | 3-2-0-0-0 | 7-5-2-1-0 | 2-2-2-2-2-1 | 7-6-5-4-3-1 | 26 |
| 27 | 6-6 | 7-6 | 4-3-1 | 6-4-1 | 3-3-1-1 | 6-5-2-1 | 3-2-1-0-0 | 7-5-3-1-0 | 2-2-2-2-2-2 | 7-6-5-4-3-2 | 27 |
| 28 | 7-0 | 8-0 | 4-3-2 | 6-4-2 | 3-3-2-0 | 6-5-3-0 | 3-2-1-1-0 | 7-5-3-2-0 | 3-0-0-0-0-0 | 8-4-3-2-1-0 | 28 |
| 29 | 7-1 | 8-1 | 4-3-3 | 6-4-3 | 3-3-2-1 | 6-5-3-1 | 3-2-1-1-1 | 7-5-3-2-1 | 3-1-0-0-0-0 | 8-5-3-2-1-0 | 29 |
| 30 | 7-2 | 8-2 | 4-4-0 | 6-5-0 | 3-3-2-2 | 6-5-3-2 | 3-2-2-0-0 | 7-5-4-1-0 | 3-1-1-0-0-0 | 8-5-4-2-1-0 | 30 |
| 31 | 7-3 | 8-3 | 4-4-1 | 6-5-1 | 3-3-3-0 | 6-5-4-0 | 3-2-2-1-0 | 7-5-4-2-0 | 3-1-1-1-0-0 | 8-5-4-3-1-0 | 31 |
| 32 | 7-4 | 8-4 | 4-4-2 | 6-5-2 | 3-3-3-1 | 6-5-4-1 | 3-2-2-1-1 | 7-5-4-2-1 | 3-1-1-1-1-0 | 8-5-4-3-2-0 | 32 |
| 33 | 7-5 | 8-5 | 4-4-3 | 6-5-3 | 3-3-3-2 | 6-5-4-2 | 3-2-2-2-0 | 7-5-4-3-0 | 3-1-1-1-1-1 | 8-5-4-3-2-1 | 33 |
| 34 | 7-6 | 8-6 | 4-4-4 | 6-5-4 | 3-3-3-3 | 6-5-4-3 | 3-2-2-2-1 | 7-5-4-3-1 | 3-2-0-0-0-0 | 8-6-3-2-1-0 | 34 |
| 35 | 7-7 | 8-7 | 5-0-0 | 7-1-0 | 4-0-0-0 | 7-2-1-0 | 3-2-2-2-2 | 7-5-4-3-2 | 3-2-1-0-0-0 | 8-6-4-2-1-0 | 35 |
| 36 | 8-0 | 9-0 | 5-1-0 | 7-2-0 | 4-1-0-0 | 7-3-1-0 | 3-3-0-0-0 | 7-6-2-1-0 | 3-2-1-1-0-0 | 8-6-4-3-1-0 | 36 |
| 37 | 8-1 | 9-1 | 5-1-1 | 7-2-1 | 4-1-1-0 | 7-3-2-0 | 3-3-1-0-0 | 7-6-3-1-0 | 3-2-1-1-1-0 | 8-6-4-3-2-0 | 37 |
| 38 | 8-2 | 9-2 | 5-2-0 | 7-3-0 | 4-1-1-1 | 7-3-2-1 | 3-3-1-1-0 | 7-6-3-2-0 | 3-2-1-1-1-1 | 8-6-4-3-2-1 | 38 |
| 39 | 8-3 | 9-3 | 5-2-1 | 7-3-1 | 4-2-0-0 | 7-4-1-0 | 3-3-1-1-1 | 7-6-3-2-1 | 3-2-2-0-0-0 | 8-6-5-2-1-0 | 39 |
| 40 | 8-4 | 9-4 | 5-2-2 | 7-3-2 | 4-2-1-0 | 7-4-2-0 | 3-3-2-0-0 | 7-6-4-1-0 | 3-2-2-1-0-0 | 8-6-5-3-1-0 | 40 |
| 41 | 8-5 | 9-5 | 5-3-0 | 7-4-0 | 4-2-1-1 | 7-4-2-1 | 3-3-2-1-0 | 7-6-4-2-0 | 3-2-2-1-1-0 | 8-6-5-3-2-0 | 41 |
| Serial | Valence 2 | Valence 3 | Valence 4 | Valence 5 | Valence 6 | Serial | |||||
| 42 | 8-6 | 9-6 | 5-3-1 | 7-4-1 | 4-2-2-0 | 7-4-3-0 | 3-3-2-1-1 | 7-6-4-2-1 | 3-2-2-1-1-1 | 8-6-5-3-2-1 | 42 |
| 43 | 8-7 | 9-7 | 5-3-2 | 7-4-2 | 4-2-2-1 | 7-4-3-1 | 3-3-2-2-0 | 7-6-4-3-0 | 3-2-2-2-0-0 | 8-6-5-4-1-0 | 43 |
| 44 | 8-8 | 9-8 | 5-3-3 | 7-4-3 | 4-2-2-2 | 7-4-3-2 | 3-3-2-2-1 | 7-6-4-3-1 | 3-2-2-2-1-0 | 8-6-5-4-2-0 | 44 |
| 45 | 9-0 | 10-0 | 5-4-0 | 7-5-0 | 4-3-0-0 | 7-5-1-0 | 3-3-2-2-2 | 7-6-4-3-2 | 3-2-2-2-1-1 | 8-6-5-4-2-1 | 45 |
| 46 | 9-1 | 10-1 | 5-4-1 | 7-5-1 | 4-3-1-0 | 7-5-2-0 | 3-3-3-0-0 | 7-6-5-1-0 | 3-2-2-2-2-0 | 8-6-5-4-3-0 | 46 |
| 47 | 9-2 | 10-2 | 5-4-2 | 7-5-2 | 4-3-1-1 | 7-5-2-1 | 3-3-3-1-0 | 7-6-5-2-0 | 3-2-2-2-2-1 | 8-6-5-4-3-1 | 47 |
| 48 | 9-3 | 10-3 | 5-4-3 | 7-5-3 | 4-3-2-0 | 7-5-3-0 | 3-3-3-1-1 | 7-6-5-2-1 | 3-2-2-2-2-2 | 8-6-5-4-3-2 | 48 |
| 49 | 9-4 | 10-4 | 5-4-4 | 7-5-4 | 4-3-2-1 | 7-5-3-1 | 3-3-3-2-0 | 7-6-5-3-0 | 3-3-0-0-0-0 | 8-7-3-2-1-0 | 49 |
| 50 | 9-5 | 10-5 | 5-5-0 | 7-6-0 | 4-3-2-2 | 7-5-3-2 | 3-3-3-2-1 | 7-6-5-3-1 | 3-3-1-0-0-0 | 8-7-4-2-1-0 | 50 |
| 51 | 9-6 | 10-6 | 5-5-1 | 7-6-1 | 4-3-3-0 | 7-5-4-0 | 3-3-3-2-2 | 7-6-5-3-2 | 3-3-1-1-0-0 | 8-7-4-3-1-0 | 51 |
| 52 | 9-7 | 10-7 | 5-5-2 | 7-6-2 | 4-3-3-1 | 7-5-4-1 | 3-3-3-3-0 | 7-6-5-4-0 | 3-3-1-1-1-0 | 8-7-4-3-2-0 | 52 |
| 53 | 9-8 | 10-8 | 5-5-3 | 7-6-3 | 4-3-3-2 | 7-5-4-2 | 3-3-3-3-1 | 7-6-5-4-1 | 3-3-1-1-1-1 | 8-7-4-3-2-1 | 53 |
| 54 | 9-9 | 10-9 | 5-5-4 | 7-6-4 | 4-3-3-3 | 7-5-4-3 | 3-3-3-3-2 | 7-6-5-4-2 | 3-3-2-0-0-0 | 8-7-5-2-1-0 | 54 |
| 55 | 10-0 | 11-0 | 5-5-5 | 7-6-5 | 4-4-0-0 | 7-6-1-0 | 3-3-3-3-3 | 7-6-5-4-3 | 3-3-2-1-0-0 | 8-7-5-3-1-0 | 55 |
| 56 | 10-1 | 11-1 | 6-0-0 | 8-1-0 | 4-4-1-0 | 7-6-2-0 | 4-0-0-0-0 | 8-3-2-1-0 | 3-3-2-1-1-0 | 8-7-5-3-2-0 | 56 |
| 57 | 10-2 | 11-2 | 6-1-0 | 8-2-0 | 4-4-1-1 | 7-6-2-1 | 4-1-0-0-0 | 8-4-2-1-0 | 3-3-2-1-1-1 | 8-7-5-3-2-1 | 57 |
| 58 | 10-3 | 11-3 | 6-1-1 | 8-2-1 | 4-4-2-0 | 7-6-3-0 | 4-1-1-0-0 | 8-4-3-1-0 | 3-3-2-2-0-0 | 8-7-5-4-1-0 | 58 |
| 59 | 10-4 | 11-4 | 6-2-0 | 8-3-0 | 4-4-2-1 | 7-6-3-1 | 4-1-1-1-0 | 8-4-3-2-0 | 3-3-2-2-1-0 | 8-7-5-4-2-0 | 59 |
| 60 | 10-5 | 11-5 | 6-2-1 | 8-3-1 | 4-4-2-2 | 7-6-3-2 | 4-1-1-1-1 | 8-4-3-2-1 | 3-3-2-2-1-1 | 8-7-5-4-2-1 | 60 |
| 61 | 10-6 | 11-6 | 6-2-2 | 8-3-2 | 4-4-3-0 | 7-6-4-0 | 4-2-0-0-0 | 8-5-2-1-0 | 3-3-2-2-2-0 | 8-7-5-4-3-0 | 61 |
| 62 | 10-7 | 11-7 | 6-3-0 | 8-4-0 | 4-4-3-1 | 7-6-4-1 | 4-2-1-0-0 | 8-5-3-1-0 | 3-3-2-2-2-1 | 8-7-5-4-3-1 | 62 |
| 63 | 10-8 | 11-8 | 6-3-1 | 8-4-1 | 4-4-3-2 | 7-6-4-2 | 4-2-1-1-0 | 8-5-3-2-0 | 3-3-2-2-2-2 | 8-7-5-4-3-2 | 63 |
| 64 | 10-9 | 11-9 | 6-3-2 | 8-4-2 | 4-4-3-3 | 7-6-4-3 | 4-2-1-1-1 | 8-5-3-2-1 | 3-3-3-0-0-0 | 8-7-6-2-1-0 | 64 |
| 65 | 10-10 | 11-10 | 6-3-3 | 8-4-3 | 4-4-4-0 | 7-6-5-0 | 4-2-2-0-0 | 8-5-4-1-0 | 3-3-3-1-0-0 | 8-7-6-3-1-0 | 65 |
| 66 | 11-0 | 12-0 | 6-4-0 | 8-5-0 | 4-4-4-1 | 7-6-5-1 | 4-2-2-1-0 | 8-5-4-2-0 | 3-3-3-1-1-0 | 8-7-6-3-2-0 | 66 |
| 67 | 11-1 | 12-1 | 6-4-1 | 8-5-1 | 4-4-4-2 | 7-6-5-2 | 4-2-2-1-1 | 8-5-4-2-1 | 3-3-3-1-1-1 | 8-7-6-3-2-1 | 67 |
| 68 | 11-2 | 12-2 | 6-4-2 | 8-5-2 | 4-4-4-3 | 7-6-5-3 | 4-2-2-2-0 | 8-5-4-3-0 | 3-3-3-2-0-0 | 8-7-6-4-1-0 | 68 |
| 69 | 11-3 | 12-3 | 6-4-3 | 8-5-3 | 4-4-4-4 | 7-6-5-4 | 4-2-2-2-1 | 8-5-4-3-1 | 3-3-3-2-1-0 | 8-7-6-4-2-0 | 69 |
| 70 | 11-4 | 12-4 | 6-4-4 | 8-5-4 | 5-0-0-0 | 8-2-1-0 | 4-2-2-2-2 | 8-5-4-3-2 | 3-3-3-2-1-1 | 8-7-6-4-2-1 | 70 |
| 71 | 11-5 | 12-5 | 6-5-0 | 8-6-0 | 5-1-0-0 | 8-3-1-0 | 4-3-0-0-0 | 8-6-2-1-0 | 3-3-3-2-2-0 | 8-7-6-4-3-0 | 71 |
| 72 | 11-6 | 12-6 | 6-5-1 | 8-6-1 | 5-1-1-0 | 8-3-2-0 | 4-3-1-0-0 | 8-6-3-1-0 | 3-3-3-2-2-1 | 8-7-6-4-3-1 | 72 |
| 73 | 11-7 | 12-7 | 6-5-2 | 8-6-2 | 5-1-1-1 | 8-3-2-1 | 4-3-1-1-0 | 8-6-3-2-0 | 3-3-3-2-2-2 | 8-7-6-4-3-2 | 73 |
| 74 | 11-8 | 12-8 | 6-5-3 | 8-6-3 | 5-2-0-0 | 8-4-1-0 | 4-3-1-1-1 | 8-6-3-2-1 | 3-3-3-3-0-0 | 8-7-6-5-1-0 | 74 |
| 75 | 11-9 | 12-9 | 6-5-4 | 8-6-4 | 5-2-1-0 | 8-4-2-0 | 4-3-2-0-0 | 8-6-4-1-0 | 3-3-3-3-1-0 | 8-7-6-5-2-0 | 75 |
| 76 | 11-10 | 12-10 | 6-5-5 | 8-6-5 | 5-2-1-1 | 8-4-2-1 | 4-3-2-1-0 | 8-6-4-2-0 | 3-3-3-3-1-1 | 8-7-6-5-2-1 | 76 |
| 77 | 11-11 | 12-11 | 6-6-0 | 8-7-0 | 5-2-2-0 | 8-4-3-0 | 4-3-2-1-1 | 8-6-4-2-1 | 3-3-3-3-2-0 | 8-7-6-5-3-0 | 77 |
| 78 | 12-0 | 13-0 | 6-6-1 | 8-7-1 | 5-2-2-1 | 8-4-3-1 | 4-3-2-2-0 | 8-6-4-3-0 | 3-3-3-3-2-1 | 8-7-6-5-3-1 | 78 |
| 79 | 12-1 | 13-1 | 6-6-2 | 8-7-2 | 5-2-2-2 | 8-4-3-2 | 4-3-2-2-1 | 8-6-4-3-1 | 3-3-3-3-2-2 | 8-7-6-5-3-2 | 79 |
| 80 | 12-2 | 13-2 | 6-6-3 | 8-7-3 | 5-3-0-0 | 8-5-1-0 | 4-3-2-2-2 | 8-6-4-3-2 | 3-3-3-3-3-0 | 8-7-6-5-4-0 | 80 |
| 81 | 12-3 | 13-3 | 6-6-4 | 8-7-4 | 5-3-1-0 | 8-5-2-0 | 4-3-3-0-0 | 8-6-5-1-0 | 3-3-3-3-3-1 | 8-7-6-5-4-1 | 81 |
| 82 | 12-4 | 13-4 | 6-6-5 | 8-7-5 | 5-3-1-1 | 8-5-2-1 | 4-3-3-1-0 | 8-6-5-2-0 | 3-3-3-3-3-2 | 8-7-6-5-4-2 | 82 |
| 83 | 12-5 | 13-5 | 6-6-6 | 8-7-6 | 5-3-2-0 | 8-5-3-0 | 4-3-3-1-1 | 8-6-5-2-1 | 3-3-3-3-3-3 | 8-7-6-5-4-3 | 83 |
| Serial | Valence 2 | Valence 3 | Valence 4 | Valence 5 | Valence 6 | Serial | |||||
| 84 | 12-6 | 13-6 | 7-0-0 | 9-1-0 | 5-3-2-1 | 8-5-3-1 | 4-3-3-2-0 | 8-6-5-3-0 | 4-0-0-0-0-0 | 9-4-3-2-1-0 | 84 |
| 85 | 12-7 | 13-7 | 7-1-0 | 9-2-0 | 5-3-2-2 | 8-5-3-2 | 4-3-3-2-1 | 8-6-5-3-1 | 4-1-0-0-0-0 | 9-5-3-2-1-0 | 85 |
| 86 | 12-8 | 13-8 | 7-1-1 | 9-2-1 | 5-3-3-0 | 8-5-4-0 | 4-3-3-2-2 | 8-6-5-3-2 | 4-1-1-0-0-0 | 9-5-4-2-1-0 | 86 |
| 87 | 12-9 | 13-9 | 7-2-0 | 9-3-0 | 5-3-3-1 | 8-5-4-1 | 4-3-3-3-0 | 8-6-5-4-0 | 4-1-1-1-0-0 | 9-5-4-3-1-0 | 87 |
| 88 | 12-10 | 13-10 | 7-2-1 | 9-3-1 | 5-3-3-2 | 8-5-4-2 | 4-3-3-3-1 | 8-6-5-4-1 | 4-1-1-1-1-0 | 9-5-4-3-2-0 | 88 |
| 89 | 12-11 | 13-11 | 7-2-2 | 9-3-2 | 5-3-3-3 | 8-5-4-3 | 4-3-3-3-2 | 8-6-5-4-2 | 4-1-1-1-1-1 | 9-5-4-3-2-1 | 89 |
| 90 | 12-12 | 13-12 | 7-3-0 | 9-4-0 | 5-4-0-0 | 8-6-1-0 | 4-3-3-3-3 | 8-6-5-4-3 | 4-2-0-0-0-0 | 9-6-3-2-1-0 | 90 |
| 91 | 13-0 | 14-0 | 7-3-1 | 9-4-1 | 5-4-1-0 | 8-6-2-0 | 4-4-0-0-0 | 8-7-2-1-0 | 4-2-1-0-0-0 | 9-6-4-2-1-0 | 91 |
| 92 | 13-1 | 14-1 | 7-3-2 | 9-4-2 | 5-4-1-1 | 8-6-2-1 | 4-4-1-0-0 | 8-7-3-1-0 | 4-2-1-1-0-0 | 9-6-4-3-1-0 | 92 |
| 93 | 13-2 | 14-2 | 7-3-3 | 9-4-3 | 5-4-2-0 | 8-6-3-0 | 4-4-1-1-0 | 8-7-3-2-0 | 4-2-1-1-1-0 | 9-6-4-3-2-0 | 93 |
| 94 | 13-3 | 14-3 | 7-4-0 | 9-5-0 | 5-4-2-1 | 8-6-3-1 | 4-4-1-1-1 | 8-7-3-2-1 | 4-2-1-1-1-1 | 9-6-4-3-2-1 | 94 |
| 95 | 13-4 | 14-4 | 7-4-1 | 9-5-1 | 5-4-2-2 | 8-6-3-2 | 4-4-2-0-0 | 8-7-4-1-0 | 4-2-2-0-0-0 | 9-6-5-2-1-0 | 95 |
| 96 | 13-5 | 14-5 | 7-4-2 | 9-5-2 | 5-4-3-0 | 8-6-4-0 | 4-4-2-1-0 | 8-7-4-2-0 | 4-2-2-1-0-0 | 9-6-5-3-1-0 | 96 |
| 97 | 13-6 | 14-6 | 7-4-3 | 9-5-3 | 5-4-3-1 | 8-6-4-1 | 4-4-2-1-1 | 8-7-4-2-1 | 4-2-2-1-1-0 | 9-6-5-3-2-0 | 97 |
| 98 | 13-7 | 14-7 | 7-4-4 | 9-5-4 | 5-4-3-2 | 8-6-4-2 | 4-4-2-2-0 | 8-7-4-3-0 | 4-2-2-1-1-1 | 9-6-5-3-2-1 | 98 |
| 99 | 13-8 | 14-8 | 7-5-0 | 9-6-0 | 5-4-3-3 | 8-6-4-3 | 4-4-2-2-1 | 8-7-4-3-1 | 4-2-2-2-0-0 | 9-6-5-4-1-0 | 99 |
| 100 | 13-9 | 14-9 | 7-5-1 | 9-6-1 | 5-4-4-0 | 8-6-5-0 | 4-4-2-2-2 | 8-7-4-3-2 | 4-2-2-2-1-0 | 9-6-5-4-2-0 | 100 |
| 101 | 13-10 | 14-10 | 7-5-2 | 9-6-2 | 5-4-4-1 | 8-6-5-1 | 4-4-3-0-0 | 8-7-5-1-0 | 4-2-2-2-1-1 | 9-6-5-4-2-1 | 101 |
| 102 | 13-11 | 14-11 | 7-5-3 | 9-6-3 | 5-4-4-2 | 8-6-5-2 | 4-4-3-1-0 | 8-7-5-2-0 | 4-2-2-2-2-0 | 9-6-5-4-3-0 | 102 |
| 103 | 13-12 | 14-12 | 7-5-4 | 9-6-4 | 5-4-4-3 | 8-6-5-3 | 4-4-3-1-1 | 8-7-5-2-1 | 4-2-2-2-2-1 | 9-6-5-4-3-1 | 103 |
| 104 | 13-13 | 14-13 | 7-5-5 | 9-6-5 | 5-4-4-4 | 8-6-5-4 | 4-4-3-2-0 | 8-7-5-3-0 | 4-2-2-2-2-2 | 9-6-5-4-3-2 | 104 |
| 105 | 14-0 | 15-0 | 7-6-0 | 9-7-0 | 5-5-0-0 | 8-7-1-0 | 4-4-3-2-1 | 8-7-5-3-1 | 4-3-0-0-0-0 | 9-7-3-2-1-0 | 105 |
| 106 | 14-1 | 15-1 | 7-6-1 | 9-7-1 | 5-5-1-0 | 8-7-2-0 | 4-4-3-2-2 | 8-7-5-3-2 | 4-3-1-0-0-0 | 9-7-4-2-1-0 | 106 |
| 107 | 14-2 | 15-2 | 7-6-2 | 9-7-2 | 5-5-1-1 | 8-7-2-1 | 4-4-3-3-0 | 8-7-5-4-0 | 4-3-1-1-0-0 | 9-7-4-3-1-0 | 107 |
| 108 | 14-3 | 15-3 | 7-6-3 | 9-7-3 | 5-5-2-0 | 8-7-3-0 | 4-4-3-3-1 | 8-7-5-4-1 | 4-3-1-1-1-0 | 9-7-4-3-2-0 | 108 |
| 109 | 14-4 | 15-4 | 7-6-4 | 9-7-4 | 5-5-2-1 | 8-7-3-1 | 4-4-3-3-2 | 8-7-5-4-2 | 4-3-1-1-1-1 | 9-7-4-3-2-1 | 109 |
| 110 | 14-5 | 15-5 | 7-6-5 | 9-7-5 | 5-5-2-2 | 8-7-3-2 | 4-4-3-3-3 | 8-7-5-4-3 | 4-3-2-0-0-0 | 9-7-5-2-1-0 | 110 |
| 111 | 14-6 | 15-6 | 7-6-6 | 9-7-6 | 5-5-3-0 | 8-7-4-0 | 4-4-4-0-0 | 8-7-6-1-0 | 4-3-2-1-0-0 | 9-7-5-3-1-0 | 111 |
| 112 | 14-7 | 15-7 | 7-7-0 | 9-8-0 | 5-5-3-1 | 8-7-4-1 | 4-4-4-1-0 | 8-7-6-2-0 | 4-3-2-1-1-0 | 9-7-5-3-2-0 | 112 |
| 113 | 14-8 | 15-8 | 7-7-1 | 9-8-1 | 5-5-3-2 | 8-7-4-2 | 4-4-4-1-1 | 8-7-6-2-1 | 4-3-2-1-1-1 | 9-7-5-3-2-1 | 113 |
| 114 | 14-9 | 15-9 | 7-7-2 | 9-8-2 | 5-5-3-3 | 8-7-4-3 | 4-4-4-2-0 | 8-7-6-3-0 | 4-3-2-2-0-0 | 9-7-5-4-1-0 | 114 |
| 115 | 14-10 | 15-10 | 7-7-3 | 9-8-3 | 5-5-4-0 | 8-7-5-0 | 4-4-4-2-1 | 8-7-6-3-1 | 4-3-2-2-1-0 | 9-7-5-4-2-0 | 115 |
| 116 | 14-11 | 15-11 | 7-7-4 | 9-8-4 | 5-5-4-1 | 8-7-5-1 | 4-4-4-2-2 | 8-7-6-3-2 | 4-3-2-2-1-1 | 9-7-5-4-2-1 | 116 |
| 117 | 14-12 | 15-12 | 7-7-5 | 9-8-5 | 5-5-4-2 | 8-7-5-2 | 4-4-4-3-0 | 8-7-6-4-0 | 4-3-2-2-2-0 | 9-7-5-4-3-0 | 117 |
| 118 | 14-13 | 15-13 | 7-7-6 | 9-8-6 | 5-5-4-3 | 8-7-5-3 | 4-4-4-3-1 | 8-7-6-4-1 | 4-3-2-2-2-1 | 9-7-5-4-3-1 | 118 |
| 119 | 14-14 | 15-14 | 7-7-7 | 9-8-7 | 5-5-4-4 | 8-7-5-4 | 4-4-4-3-2 | 8-7-6-4-2 | 4-3-2-2-2-2 | 9-7-5-4-3-2 | 119 |
| 120 | 15-0 | 16-0 | 8-0-0 | 10-1-0 | 5-5-5-0 | 8-7-6-0 | 4-4-4-3-3 | 8-7-6-4-3 | 4-3-3-0-0-0 | 9-7-6-2-1-0 | 120 |
| 121 | 15-1 | 16-1 | 8-1-0 | 10-2-0 | 5-5-5-1 | 8-7-6-1 | 4-4-4-4-0 | 8-7-6-5-0 | 4-3-3-1-0-0 | 9-7-6-3-1-0 | 121 |
| 122 | 15-2 | 16-2 | 8-1-1 | 10-2-1 | 5-5-5-2 | 8-7-6-2 | 4-4-4-4-1 | 8-7-6-5-1 | 4-3-3-1-1-0 | 9-7-6-3-2-0 | 122 |
| 123 | 15-3 | 16-3 | 8-2-0 | 10-3-0 | 5-5-5-3 | 8-7-6-3 | 4-4-4-4-2 | 8-7-6-5-2 | 4-3-3-1-1-1 | 9-7-6-3-2-1 | 123 |
| 124 | 15-4 | 16-4 | 8-2-1 | 10-3-1 | 5-5-5-4 | 8-7-6-4 | 4-4-4-4-3 | 8-7-6-5-3 | 4-3-3-2-0-0 | 9-7-6-4-1-0 | 124 |
| 125 | 15-5 | 16-5 | 8-2-2 | 10-3-2 | 5-5-5-5 | 8-7-6-5 | 4-4-4-4-4 | 8-7-6-5-4 | 4-3-3-2-1-0 | 9-7-6-4-2-0 | 125 |
| Serial | Valence 2 | Valence 3 | Valence 4 | Valence 5 | Valence 6 | Serial | |||||
Given a blue card, there is a simple procedure to determine the index of that red card which has the same valence and serial:
The transformation from red to blue is the same, except it involves addition instead of subtraction.
In the table below are formulas for computing the serial number of a card directly from its indices; not required is the designator of the pack from which the card comes. In the simple case of a card whose valence is one, the serial equals the index. The exclamation mark indicates the factorial function.
| Card designator | Red card | Blue card |
|---|---|---|
| b-a |
(b + 0) × (b + 1)
÷ 2! +
(a + 0) ÷ 1! |
(b − 0) × (b − 1)
÷ 2! +
(a − 0) ÷ 1! |
| c-b-a |
(c + 0) × (c + 1) × (c + 2)
÷ 3! +
(b + 0) × (b + 1) ÷ 2! + (a + 0) ÷ 1! |
(c − 0) × (c − 1) × (c − 2)
÷ 3! +
(b − 0) × (b − 1) ÷ 2! + (a − 0) ÷ 1! |
| d-c-b-a |
(d + 0) × (d + 1) × (d + 2) × (d + 3)
÷ 4! +
(c + 0) × (c + 1) × (c + 2) ÷ 3! + (b + 0) × (b + 1) ÷ 2! + (a + 0) ÷ 1! |
(d − 0) × (d − 1) × (d − 2) × (d − 3)
÷ 4! +
(c − 0) × (c − 1) × (c − 2) ÷ 3! + (b − 0) × (b − 1) ÷ 2! + (a − 0) ÷ 1! |
| e-d-c-b-a |
(e + 0) × (e + 1) × (e + 2) × (e + 3) × (e + 4)
÷ 5! +
(d + 0) × (d + 1) × (d + 2) × (d + 3) ÷ 4! + (c + 0) × (c + 1) × (c + 2) ÷ 3! + (b + 0) × (b + 1) ÷ 2! + (a + 0) ÷ 1! |
(e − 0) × (e − 1) × (e − 2) × (e − 3)
× (e − 4)
÷ 5! +
(d − 0) × (d − 1) × (d − 2) × (d − 3) ÷ 4! + (c − 0) × (c − 1) × (c − 2) ÷ 3! + (b − 0) × (b − 1) ÷ 2! + (a − 0) ÷ 1! |
As an instance of using the table, consider the red card 6-4-3 which has a designator of the form c-b-a. The appropriate formula is
(c + 0) × (c + 1) × (c + 2)
÷ 3! +
(b + 0) × (b + 1)
÷ 2! +
(a + 0)
÷ 1!
where c = 6, b = 4 and a = 3
With substitutions, this becomes
(6 + 0) × (6 + 1) × (6 + 2) ÷ 3! + (4 + 0) × (4 + 1) ÷ 2! + (3 + 0) ÷ 1!
and then
6 × 7 × 8 ÷ 6 + 4 × 5 ÷ 2 + 3 ÷ 1 = 69.
Simple formulas to convert from serial number to indices are not known, although there is an efficient algorithm that involves searching.