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

Champions League 2013-14

2012-13 2014-15

EP Pts W D L GF GA GP PR
1 Real Madrid 40.590 34 11 1 1 41 10 13 1
2 Borussia Dortmund 11.949 18 6 0 4 18 13 10 11
3 Atlético Madrid 7.682 30 9 3 1 26 10 13 2
4 Arsenal 6.193 19 6 1 3 14 8 10 9
5 SSC Napoli 5.443 12 4 0 2 10 9 6 21
6 Zenit Saint Petersburg 4.248 21 6 3 3 23 17 12 5
7 Bayern München 3.822 23 7 2 3 24 13 12 3
8 Juventus 2.196 6 1 3 2 9 9 6 38
9 FC Barcelona 2.118 20 6 2 2 21 8 10 7
10 Chelsea 1.977 20 6 2 4 19 10 12 8
11 Paris Saint-Germain 1.790 22 7 1 2 25 9 10 4
12 Austria Wien 1.512 12 3 3 4 10 13 10 22
13 FC Basel 1.205 18 5 3 2 15 11 10 12
14 Galatasaray 1.143 8 2 2 4 9 17 8 30
15 Dinamo Zagreb 0.907 15 5 0 1 13 4 6 14
16 Manchester City 0.849 15 5 0 3 19 14 8 15
17 Manchester United 0.707 18 5 3 2 17 9 10 10
18 FC Schalke 04 0.664 14 4 2 4 12 18 10 17
19 Porto 0.575 5 1 2 3 4 7 6 42
20 Olympiacos Piraeus 0.564 13 4 1 3 12 11 8 19
21 AFC Ajax 0.553 8 2 2 2 5 8 6 29
22 SL Benfica 0.537 10 3 1 2 8 8 6 24
23 AC Milan 0.465 13 3 4 3 13 11 10 18
24 Steaua București 0.384 15 3 6 3 13 15 12 16
25 FC København 0.377 4 1 1 4 4 13 6 48
26 Celtic 0.221 16 5 1 6 12 16 12 13
27 Legia Warszawa 0.192 10 2 4 0 8 5 6 23
28 FH Hafnarfjörður 0.151 7 2 1 1 3 2 4 35
29 Metalist Kharkov 0.133 4 1 1 0 3 1 2 43
30 Molde FK 0.128 8 2 2 0 4 1 4 27
31 Maccabi Tel Aviv 0.121 7 2 1 1 7 5 4 33
32 Shakter Karaganda 0.111 12 4 0 2 9 6 6 20
33 Shakhtar Donetsk 0.077 8 2 2 2 7 6 6 28
34 RSC Anderlecht 0.077 1 0 1 5 4 17 6 61
35 KF Skënderbeu 0.074 7 2 1 1 4 5 4 36
36 PAOK Saloniki 0.066 2 0 2 2 4 7 4 54
37 Bayer Leverkusen 0.056 10 3 1 4 10 16 8 25
38 PSV Eindhoven 0.047 7 2 1 1 6 4 4 34
39 Real Sociedad 0.040 7 2 1 5 5 10 8 37
40 Dinamo Tbilisi 0.032 7 2 1 1 10 5 4 32
41 IF Elfsborg 0.018 7 2 1 1 11 2 4 31
42 Neftchi PFK 0.009 1 0 1 1 0 1 2 56
43 Viktoria Plzeň 0 21 7 0 5 26 24 12 6
43 PFC Ludogorets Razgrad 0 9 3 0 3 9 9 6 26
43 NK Maribor 0 6 1 3 2 4 5 6 39
43 Olympique Lyon 0 6 2 0 2 2 4 4 40
43 Shirak FC 0 5 1 2 1 4 2 4 41
43 FC Sheriff Tiraspol 0 4 1 1 2 6 5 4 44
43 EB-Streymur 0 4 1 1 2 9 12 4 45
43 Fenerbahçe 0 4 1 1 2 4 7 4 46
43 JK Nõmme Kalju 0 4 1 1 2 4 11 4 47
43 Slovan Bratislava 0 3 1 0 1 2 4 2 49
43 SP Tre Penne 0 3 1 0 1 1 3 2 50
43 CSKA Moskva 0 3 1 0 5 8 17 6 51
43 APOEL Nicosia 0 2 0 2 0 1 1 2 52
43 Partizan 0 2 0 2 2 2 4 4 53
43 HJK Helsinki 0 1 0 1 1 1 2 2 55
43 RB Salzburg 0 1 0 1 1 2 4 2 57
43 Birkirkara FC 0 1 0 1 1 0 2 2 58
43 FC Lusitanos la Posa 0 1 0 1 1 3 7 2 59
43 FK Sutjeska 0 1 0 1 1 1 6 2 60
43 Željezničar Sarajevo 0 0 0 0 2 4 6 2 62
43 FK Ekranas 0 0 0 0 2 1 3 2 63
43 BATE Borisov 0 0 0 0 2 0 2 2 64
43 Grasshoppers Zürich 0 0 0 0 2 0 2 2 65
43 Győri ETO FC 0 0 0 0 2 1 4 2 66
43 The New Saints 0 0 0 0 2 1 4 2 67
43 Sligo Rovers 0 0 0 0 2 0 3 2 68
43 Vardar Skopje 0 0 0 0 2 1 5 2 69
43 Paços de Ferreira 0 0 0 0 2 3 8 2 70
43 Cliftonville 0 0 0 0 2 0 5 2 71
43 SV Zulte-Waregem 0 0 0 0 2 0 5 2 72
43 CS FOLA Esch 0 0 0 0 2 0 6 2 73
43 FC Nordsjælland 0 0 0 0 2 0 6 2 74
43 Olympique Marseille 0 0 0 0 6 5 14 6 75
43 FC Daugava 0 0 0 0 2 1 11 2 76

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

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Matches decided on penalties are treated as ties.