Ranking football clubs by the dominant eigenvector of the normalized points-won matrix.
Germany: Bundesliga 1981-82
| ‹ 1980-81 | 1982-83 › | |
|---|---|---|
| EP | Pts | W | D | L | GF | GA | GP | PR | ||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Hamburger SV | 12.242 | 48 | 18 | 12 | 4 | 95 | 45 | 34 | 1 |
| 2 | 1. FC Köln | 9.540 | 45 | 18 | 9 | 7 | 72 | 38 | 34 | 2 |
| 3 | 1. FC Kaiserslautern | 8.481 | 42 | 16 | 10 | 8 | 70 | 61 | 34 | 4 |
| 4 | Werder Bremen | 7.808 | 42 | 17 | 8 | 9 | 61 | 52 | 34 | 5 |
| 5 | Bayern München | 7.413 | 43 | 20 | 3 | 11 | 77 | 56 | 34 | 3 |
| 6 | Borussia Dortmund | 7.106 | 41 | 18 | 5 | 11 | 59 | 40 | 34 | 6 |
| 7 | Borussia Mönchengladbach | 6.538 | 40 | 15 | 10 | 9 | 61 | 51 | 34 | 7 |
| 8 | Eintracht Frankfurt | 5.991 | 37 | 17 | 3 | 14 | 83 | 72 | 34 | 8 |
| 9 | VfB Stuttgart | 4.858 | 35 | 13 | 9 | 12 | 62 | 55 | 34 | 9 |
| 10 | VfL Bochum | 4.847 | 32 | 12 | 8 | 14 | 52 | 51 | 34 | 10 |
| 11 | Eintracht Braunschweig | 4.567 | 32 | 14 | 4 | 16 | 61 | 66 | 34 | 11 |
| 12 | Arminia Bielefeld | 4.025 | 30 | 12 | 6 | 16 | 46 | 50 | 34 | 12 |
| 13 | 1. FC Nürnberg | 3.564 | 28 | 11 | 6 | 17 | 53 | 72 | 34 | 13 |
| 14 | Karlsruher SC | 3.335 | 27 | 9 | 9 | 16 | 50 | 68 | 34 | 14 |
| 15 | Fortuna Düsseldorf | 2.895 | 25 | 6 | 13 | 15 | 48 | 73 | 34 | 15 |
| 16 | Bayer Leverkusen | 2.617 | 25 | 9 | 7 | 18 | 45 | 72 | 34 | 16 |
| 17 | SV Darmstadt 98 | 2.201 | 21 | 5 | 11 | 18 | 46 | 82 | 34 | 17 |
| 18 | MSV Duisburg | 1.975 | 19 | 8 | 3 | 23 | 40 | 77 | 34 | 18 |
EigenPoints, Points, Wins, Draws, Losses, GoalsFor, GoalsAgainst, GamesPlayed, PointsRank.
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