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

Champions League 2014-15

2013-14 2015-16

EP Pts W D L GF GA GP PR
1 FC Barcelona 30.252 33 11 0 2 31 11 13 1
2 Bayern München 18.410 25 8 1 3 33 13 12 4
3 Porto 13.517 27 8 3 1 28 12 12 2
4 Chelsea 6.379 16 4 4 0 20 6 8 9
5 Paris Saint-Germain 6.051 15 4 3 3 14 15 10 12
6 Shakhtar Donetsk 3.663 10 2 4 2 15 11 8 22
7 Real Madrid 2.932 26 8 2 2 24 9 12 3
8 Manchester City 2.792 8 2 2 4 10 11 8 29
9 Athletic Bilbao 1.832 11 3 2 3 9 8 8 19
10 Juventus 1.735 24 7 3 3 17 10 13 5
11 FC Schalke 04 1.627 11 3 2 3 13 19 8 21
12 Atlético Madrid 1.196 17 5 2 3 15 5 10 8
13 NK Maribor 1.104 15 3 6 3 11 16 12 13
14 CSKA Moskva 0.894 5 1 2 3 6 13 6 47
15 FC Basel 0.809 8 2 2 4 8 13 8 30
16 Sporting CP 0.619 7 2 1 3 12 12 6 39
17 Bayer Leverkusen 0.606 19 6 1 3 15 7 10 7
18 AS Roma 0.567 5 1 2 3 8 14 6 46
19 BATE Borisov 0.550 12 3 3 6 10 28 12 18
20 AS Monaco 0.535 15 4 3 3 7 5 10 11
21 Olympiacos Piraeus 0.522 9 3 0 3 10 13 6 26
22 AFC Ajax 0.467 5 1 2 3 8 10 6 43
23 Arsenal 0.306 20 6 2 2 19 11 10 6
24 Ludogorets Razgrad 0.284 13 3 4 5 13 18 12 16
25 Zenit Saint Petersburg 0.212 16 5 1 4 11 7 10 10
26 Malmö FF 0.209 13 4 1 7 13 21 12 17
27 Debreceni VSC 0.183 7 2 1 1 4 3 4 38
28 SL Benfica 0.165 5 1 2 3 2 6 6 45
29 Steaua București 0.142 13 4 1 1 8 4 6 15
30 Celtic 0.138 10 3 1 2 10 6 6 23
31 Liverpool 0.118 5 1 2 3 5 9 6 44
32 SSC Napoli 0.115 1 0 1 1 2 4 2 60
33 Partizan 0.095 8 2 2 0 8 3 4 28
34 Legia Warszawa 0.092 7 2 1 1 10 5 4 32
34 Maccabi Tel Aviv 0.092 7 2 1 1 5 3 4 36
36 Borussia Dortmund 0.092 13 4 1 3 15 9 8 14
37 KF Skënderbeu 0.092 2 0 2 0 1 1 2 56
38 FK Qarabağ 0.070 9 3 0 1 7 3 4 24
38 Sparta Praha 0.070 7 2 1 1 12 5 4 31
38 RB Salzburg 0.070 6 2 0 2 5 6 4 40
41 Slovan Bratislava 0.069 11 3 2 1 6 5 6 20
42 APOEL Nicosia 0.056 9 2 3 5 10 15 10 27
43 Zrinjski Mostar 0.046 1 0 1 1 0 2 2 64
44 AEL Limassol 0.042 3 1 0 1 1 3 2 54
45 Beşiktaş 0.031 7 2 1 1 5 3 4 35
46 RSC Anderlecht 0.029 6 1 3 2 8 10 6 41
47 FK Aktobe 0.024 7 2 1 1 7 4 4 34
48 Cliftonville 0.023 1 0 1 1 0 2 2 62
49 FC Levadia 0.017 7 2 1 1 9 8 4 37
50 F91 Dudelange 0.012 1 0 1 1 1 5 2 66
51 St Patrick's Athletic 0.012 1 0 1 1 1 6 2 67
52 FC Sheriff Tiraspol 0.011 7 2 1 1 6 2 4 33
53 FK Ventspils 0.009 1 0 1 1 0 1 2 59
54 Dinamo Zagreb 0.006 9 3 0 1 5 2 4 25
54 HJK Helsinki 0.006 5 1 2 1 4 5 4 42
54 Aalborg BK 0.006 4 1 1 2 3 6 4 51
57 Galatasaray 0.002 1 0 1 5 4 19 6 68
58 FK Rabotnički 0.001 1 0 1 1 1 2 2 57
59 Lille OSC 0 4 1 1 2 3 4 4 48
59 HB Tórshavn 0 4 1 1 2 7 9 4 49
59 FC København 0 4 1 1 2 4 7 4 50
59 Standard Liège 0 4 1 1 2 2 5 4 52
59 FC Banants 0 3 1 0 1 3 3 2 53
59 FC Santa Coloma 0 3 1 0 3 3 6 4 55
59 Panathinaikos 0 1 0 1 1 1 2 2 58
59 Grasshoppers Zürich 0 1 0 1 1 1 3 2 61
59 Dnipro Dnipropetrovsk 0 1 0 1 1 0 2 2 63
59 Lincoln Red Imps 0 1 0 1 1 3 6 2 65
59 Feyenoord 0 0 0 0 2 2 5 2 69
59 Strømsgodset IF 0 0 0 0 2 0 3 2 70
59 The New Saints 0 0 0 0 2 0 3 2 71
59 Dinamo Tbilisi 0 0 0 0 2 0 4 2 72
59 VMFD Žalgiris 0 0 0 0 2 0 4 2 73
59 FK Sutjeska 0 0 0 0 2 0 5 2 74
59 KR Reykjavík 0 0 0 0 2 0 5 2 75
59 Valletta FC 0 0 0 0 2 0 5 2 76
59 SP La Fiorita 0 0 0 0 2 0 8 2 77

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

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Matches decided on penalties are treated as ties.