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

Champions League 2015-16

2014-15 2016-17

EP Pts W D L GF GA GP PR
1 Real Madrid 14.624 30 9 3 1 28 6 13 1
2 Atlético Madrid 12.892 22 6 4 3 17 8 13 4
3 Bayern München 11.112 26 8 2 2 30 11 12 2
4 FC Barcelona 10.882 23 7 2 1 22 8 10 3
5 VfL Wolfsburg 10.315 21 7 0 3 15 11 10 6
6 PSV Eindhoven 7.471 12 3 3 2 8 7 8 20
7 Manchester United 4.837 14 4 2 2 14 8 8 13
8 SL Benfica 4.248 17 5 2 3 15 12 10 8
9 Manchester City 3.207 21 6 3 3 18 12 12 5
10 CSKA Moskva 2.556 11 3 2 5 14 16 10 21
11 Juventus 2.468 12 3 3 2 10 9 8 19
12 FK Astana 1.958 15 3 6 3 14 17 12 11
13 Paris Saint-Germain 1.780 20 6 2 2 18 6 10 7
14 Arsenal 1.710 9 3 0 5 13 15 8 29
15 Bayer Leverkusen 1.327 9 2 3 3 16 13 8 26
16 AS Roma 1.040 6 1 3 4 11 20 8 41
17 Galatasaray 0.882 5 1 2 3 6 10 6 48
18 BATE Borisov 0.823 16 4 4 4 11 16 12 9
19 Sevilla FC 0.617 6 2 0 4 8 11 6 40
19 Borussia Mönchengladbach 0.617 5 1 2 3 8 12 6 47
21 Olympiacos Piraeus 0.598 9 3 0 3 6 13 6 32
22 Dinamo Zagreb 0.513 15 4 3 5 17 21 12 12
23 Sporting CP 0.511 3 1 0 1 3 4 2 53
24 Partizan 0.412 13 4 1 1 10 5 6 16
25 SS Lazio 0.332 3 1 0 1 1 3 2 58
26 NK Maribor 0.326 3 1 0 1 2 3 2 54
27 Dynamo Kyiv 0.310 12 3 3 2 9 7 8 18
28 APOEL Nicosia 0.245 6 1 3 2 4 5 6 38
29 Chelsea 0.180 13 4 1 3 15 7 8 14
30 Pyunik FC 0.171 9 3 0 1 5 7 4 30
30 Molde FK 0.171 5 1 2 1 9 5 4 42
32 FC Midtjylland 0.163 9 3 0 1 5 2 4 27
32 HJK Helsinki 0.163 7 2 1 1 7 5 4 36
34 Sparta Praha 0.128 1 0 1 1 4 5 2 64
35 Porto 0.088 10 3 1 2 9 8 6 23
36 Vardar Skopje 0.082 2 0 2 0 1 1 2 62
37 Videoton FC 0.069 5 1 2 1 3 3 4 44
37 Steaua București 0.069 4 1 1 2 7 8 4 49
39 AS Trenčín 0.034 3 1 0 1 3 4 2 52
39 Dundalk FC 0.034 1 0 1 1 1 2 2 65
41 CS FOLA Esch 0.021 1 0 1 1 1 4 2 69
42 The New Saints 0.017 7 2 1 1 7 4 4 35
43 Zenit Saint Petersburg 0 15 5 0 3 14 9 8 10
43 Celtic 0 13 4 1 1 10 5 6 15
43 Malmö FF 0 13 4 1 7 9 26 12 17
43 Shakhtar Donetsk 0 11 3 2 5 13 16 10 22
43 Gent 0 10 3 1 4 10 11 8 24
43 AS Monaco 0 9 3 0 1 10 5 4 25
43 KF Skënderbeu 0 9 3 0 3 12 10 6 28
43 Valencia CF 0 9 3 0 5 9 12 8 31
43 FC Basel 0 8 2 2 0 7 4 4 33
43 Maccabi Tel Aviv 0 8 2 2 8 13 24 12 34
43 Lech Poznań 0 6 2 0 2 4 4 4 37
43 FC Milsami 0 6 2 0 2 3 5 4 39
43 Rapid Wien 0 5 1 2 1 7 7 4 43
43 Qarabağ FK 0 5 1 2 1 1 1 4 45
43 Crusaders 0 5 1 2 1 5 7 4 46
43 Lincoln Red Imps 0 4 1 1 2 2 4 4 50
43 Olympique Lyon 0 4 1 1 4 5 9 6 51
43 RB Salzburg 0 3 1 0 1 2 3 2 55
43 Viktoria Plzeň 0 3 1 0 1 2 3 2 56
43 Panathinaikos 0 3 1 0 1 2 4 2 57
43 Hibernians FC 0 3 1 0 1 3 6 2 59
43 Club Brugge KV 0 3 1 0 3 5 9 4 60
43 FC Levadia 0 2 0 2 0 1 1 2 61
43 AFC Ajax 0 1 0 1 1 4 5 2 63
43 FC Santa Coloma 0 1 0 1 1 1 2 2 66
43 FK Rudar Pljevlja 0 1 0 1 1 0 1 2 67
43 VMFD Žalgiris 0 1 0 1 1 0 1 2 68
43 Fenerbahçe 0 1 0 1 1 0 3 2 70
43 SS Folgore-Falciano 0 0 0 0 2 2 4 2 71
43 Ludogorets Razgrad 0 0 0 0 2 1 3 2 72
43 FK Ventspils 0 0 0 0 2 1 4 2 73
43 Dila Gori 0 0 0 0 2 0 3 2 74
43 FK Sarajevo 0 0 0 0 2 0 3 2 75
43 B36 Tórshavn 0 0 0 0 2 2 6 2 76
43 UMF Stjarnan 0 0 0 0 2 1 6 2 77
43 BSC Young Boys 0 0 0 0 2 1 7 2 78

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

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Matches decided on penalties are treated as ties.