Ranking football clubs by the dominant eigenvector of the normalized points-won matrix.

Champions League 2004-05

2003-04 2005-06

EP Pts W D L GF GA GP PR
1 Liverpool 13.528 28 8 4 3 20 10 15 2
2 AC Milan 13.495 29 9 2 2 23 9 13 1
3 PSV Eindhoven 11.140 24 7 3 4 21 15 14 4
4 Arsenal FC 7.450 13 3 4 1 13 9 8 18
5 Juventus 5.285 24 7 3 2 15 7 12 3
6 Panathinaikos 4.853 9 2 3 1 11 8 6 22
7 AS Monaco 4.170 18 6 0 4 19 7 10 9
8 Olympique Lyon 4.133 21 6 3 1 29 12 10 6
9 FC Barcelona 4.024 13 4 1 3 13 11 8 19
10 Olympiacos Piraeus 3.601 10 3 1 2 5 5 6 21
11 Chelsea 3.440 20 6 2 4 21 13 12 7
12 Crvena Zvezda 3.183 7 2 1 1 8 9 4 32
13 Bayern München 3.114 16 5 1 4 20 13 10 11
14 Real Madrid 2.117 20 6 2 2 17 11 10 8
15 Manchester United 2.001 17 5 2 3 19 12 10 10
16 Shakhtar Donetsk 1.708 16 5 1 4 15 13 10 12
17 Grazer AK 1.691 3 1 0 1 1 2 2 49
18 Rosenborg BK 1.339 14 4 2 4 15 17 10 15
19 Bayer Leverkusen 1.144 14 4 2 4 21 15 10 14
20 Celtic 1.082 5 1 2 3 4 10 6 42
21 Deportivo La Coruña 0.890 6 1 3 4 3 9 8 39
22 Porto 0.705 9 2 3 3 6 10 8 25
23 Dynamo Kyiv 0.663 13 4 1 3 14 10 8 17
24 Internazionale 0.616 22 6 4 2 23 12 12 5
25 Maccabi Tel Aviv 0.464 14 4 2 4 8 13 10 16
26 Fenerbahçe 0.457 9 3 0 3 10 13 6 24
27 CSKA Moskva 0.453 15 4 3 3 10 7 10 13
28 Djurgårdens IF 0.440 5 1 2 1 5 6 4 40
29 BSC Young Boys 0.398 1 0 1 1 2 5 2 62
30 Paris Saint-Germain 0.384 5 1 2 3 3 8 6 41
31 Trabzonspor 0.331 7 2 1 1 6 4 4 30
32 Baník Ostrava 0.229 3 1 0 1 2 6 2 54
33 AFC Ajax 0.223 4 1 1 4 6 10 6 45
34 Club Brugge KV 0.171 7 2 1 1 9 6 4 27
35 Shelbourne FC 0.167 6 1 3 2 6 8 6 37
36 Sparta Praha 0.143 8 2 2 6 8 17 10 26
37 FBK Kaunas 0.110 7 2 1 1 6 3 4 29
38 Skonto FC 0.083 7 2 1 1 8 5 4 28
39 Werder Bremen 0.071 13 4 1 3 14 16 8 20
40 KF Tiranë 0.057 6 2 0 2 5 4 4 35
40 Ferencvárosi TC 0.057 6 2 0 2 4 5 4 36
42 Hajduk Split 0.056 3 1 0 1 3 4 2 47
42 KR Reykjavík 0.056 2 0 2 0 2 2 2 58
44 AS Roma 0.049 1 0 1 5 4 16 6 64
45 HJK Helsinki 0.046 7 2 1 1 2 1 4 31
46 Neftchi PFK 0.045 4 1 1 2 2 4 4 44
47 Valencia CF 0.034 7 2 1 3 6 10 6 33
48 FK Gomel 0.029 3 1 0 1 1 2 2 48
49 FC Basel 0.026 1 0 1 1 2 5 2 63
50 Široki Brijeg 0.023 3 1 0 1 2 2 2 46
50 Rangers 0.023 1 0 1 1 2 3 2 60
52 APOEL Nikosia 0.007 1 0 1 1 3 4 2 59
53 ND Gorica 0 9 3 0 3 13 14 6 23
53 Wisła Kraków 0 6 2 0 2 12 7 4 34
53 Dinamo Bucureşti 0 6 2 0 2 3 5 4 38
53 Pyunik FC 0 4 1 1 2 5 6 4 43
53 Jeunesse Esch 0 3 1 0 1 1 2 2 50
53 FC Sheriff 0 3 1 0 3 3 5 4 51
53 HB Tórshavn 0 3 1 0 1 3 5 2 52
53 SL Benfica 0 3 1 0 1 1 3 2 53
53 FC København 0 3 1 0 1 2 6 2 55
53 WIT Georgia 0 3 1 0 3 7 14 4 56
53 RSC Anderlecht 0 3 1 0 7 7 18 8 57
53 FK Pobeda 0 1 0 1 1 2 4 2 61
53 Maccabi Haifa 0 0 0 0 2 3 5 2 65
53 PAOK Saloniki 0 0 0 0 2 1 3 2 66
53 Linfield FC 0 0 0 0 2 0 2 2 67
53 MŠK Žilina 0 0 0 0 2 0 2 2 68
53 FC Flora 0 0 0 0 2 3 7 2 69
53 Sliema Wanderers 0 0 0 0 2 1 6 2 70
53 Rhyl FC 0 0 0 0 2 1 7 2 71
53 Lokomotiv Plovdiv 0 0 0 0 2 0 6 2 72

EigenPoints, Points, Wins, Draws, Losses, GoalsFor, GoalsAgainst, GamesPlayed, PointsRank.

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Matches decided on penalties are treated as ties.