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

Champions League 2003-04

2002-03 2004-05

EP Pts W D L GF GA GP PR
1 Porto 17.961 26 7 5 1 20 12 13 2
2 Real Madrid 17.533 21 6 3 1 18 11 10 5
3 AS Monaco 8.310 21 6 3 4 27 19 13 4
4 Chelsea 5.730 28 8 4 2 21 10 14 1
5 Deportivo La Coruña 4.769 24 7 3 4 20 17 14 3
6 Arsenal FC 3.869 17 5 2 3 16 11 10 7
7 Olympique Lyon 3.817 17 5 2 3 11 11 10 10
8 Lokomotiv Moskva 3.721 14 4 2 4 12 11 10 12
9 Bayern München 3.019 10 2 4 2 7 7 8 23
10 Partizan 2.609 8 1 5 4 7 12 10 29
11 Manchester United 2.270 16 5 1 2 15 5 8 11
12 Dinamo Tbilisi 2.083 6 2 0 0 6 0 2 37
13 Celtic 2.049 19 6 1 3 18 7 10 6
13 RSC Anderlecht 2.049 17 5 2 3 11 9 10 9
15 AC Milan 2.039 17 5 2 3 12 9 10 8
16 Dynamo Kyiv 1.962 13 4 1 3 13 9 8 14
17 Internazionale 1.856 8 2 2 2 8 11 6 28
18 PSV Eindhoven 1.666 10 3 1 2 8 7 6 21
19 Shakhtar Donetsk 1.489 7 2 1 1 4 3 4 34
20 Celta Vigo 1.169 12 3 3 4 12 13 10 18
21 Sparta Praha 1.117 13 3 4 3 11 13 10 17
22 VfB Stuttgart 1.114 13 4 1 3 9 7 8 16
23 Club Brugge KV 1.018 11 3 2 3 8 9 8 20
24 Beşiktaş 0.916 7 2 1 3 5 7 6 36
25 Olympique Marseille 0.759 8 2 2 4 10 11 8 27
26 SS Lazio 0.578 11 3 2 3 10 11 8 19
27 AEK Athen 0.575 5 1 2 5 4 13 8 42
28 Newcastle United 0.522 3 1 0 1 1 1 2 52
28 Djurgårdens IF 0.522 2 0 2 0 3 3 2 59
30 AFC Ajax 0.488 10 3 1 4 9 9 8 22
31 Slavia Praha 0.468 9 3 0 1 6 4 4 24
32 FC Sheriff 0.372 5 1 2 1 2 3 4 40
33 Rosenborg BK 0.341 7 2 1 1 5 1 4 33
34 Borussia Dortmund 0.255 3 1 0 1 3 3 2 50
35 Rangers 0.250 8 2 2 4 7 12 8 30
36 Vardar Skopje 0.168 8 2 2 2 11 9 6 26
37 Grasshoppers Zürich 0.144 3 1 0 1 2 3 2 53
38 Rapid Bucureşti 0.102 1 0 1 1 2 3 2 62
39 Panathinaikos 0.068 4 1 1 4 5 13 6 49
40 Grazer AK 0.061 7 2 1 1 9 5 4 32
41 Barry Town FC 0.056 3 1 0 1 2 4 2 54
42 Austria Wien 0.047 1 0 1 1 0 1 2 67
43 FC Flora 0.047 1 0 1 1 1 2 2 63
44 FC København 0.031 7 2 1 1 12 4 4 31
45 CSKA Moskva 0.014 1 0 1 1 2 3 2 60
46 Juventus 0 13 4 1 3 15 8 8 13
46 Galatasaray 0 13 4 1 3 12 8 8 15
46 Real Sociedad 0 9 2 3 3 8 10 8 25
46 HJK Helsinki 0 7 2 1 1 3 3 4 35
46 FBK Kaunas 0 6 2 0 2 5 6 4 38
46 CSKA Sofia 0 6 2 0 2 3 6 4 39
46 Omonia Nikosia 0 5 1 2 1 6 8 4 41
46 Wisła Kraków 0 4 1 1 2 8 8 4 43
46 Leotar Trebinje 0 4 1 1 2 3 4 4 44
46 Pyunik FC 0 4 1 1 2 2 4 4 45
46 Dinamo Zagreb 0 4 1 1 2 4 7 4 46
46 MŠK Žilina 0 4 1 1 2 2 6 4 47
46 Olympiacos Piraeus 0 4 1 1 4 6 13 6 48
46 Skonto FC 0 3 1 0 1 3 3 2 51
46 BATE Borisov 0 3 1 0 1 1 3 2 55
46 Bohemian FC 0 3 1 0 3 3 6 4 56
46 MTK Budapest 0 3 1 0 3 3 7 4 57
46 Sliema Wanderers 0 3 1 0 3 4 13 4 58
46 NK Maribor 0 1 0 1 1 2 3 2 61
46 Irtysh Pavlodar 0 1 0 1 1 1 2 2 64
46 KR Reykjavík 0 1 0 1 1 1 2 2 65
46 Maccabi Tel Aviv 0 1 0 1 1 1 2 2 66
46 Glentoran Belfast 0 1 0 1 1 0 1 2 68
46 CS Grevenmacher 0 1 0 1 1 0 2 2 69
46 SL Benfica 0 0 0 0 2 1 4 2 70
46 HB Tórshavn 0 0 0 0 2 1 5 2 71
46 KF Tiranë 0 0 0 0 4 2 13 4 72

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

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Matches decided on penalties are treated as ties.