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

Champions League 2021-22

2020-21 2022-23

EP Pts W D L GF GA GP PR
1 Real Madrid 20.578 27 9 0 4 29 14 13 2
2 Manchester City 13.462 23 7 2 3 29 16 12 5
3 Paris Saint-Germain 10.881 14 4 2 2 15 11 8 17
4 Chelsea 8.852 22 7 1 2 21 10 10 7
5 Liverpool 6.983 31 10 1 2 30 14 13 1
6 FC Sheriff Tiraspol 6.518 27 8 3 3 21 13 14 3
7 Juventus 3.674 16 5 1 2 11 10 8 14
8 Internazionale 3.631 13 4 1 3 9 7 8 20
9 Villarreal CF 3.407 18 5 3 4 20 16 12 10
10 RB Leipzig 3.165 7 2 1 3 15 14 6 32
11 Bayern München 2.295 23 7 2 1 31 7 10 4
12 Manchester United 1.874 12 3 3 2 12 10 8 21
13 Atlético Madrid 1.696 12 3 3 4 9 10 10 22
14 SL Benfica 1.661 23 6 5 3 20 18 14 6
15 AFC Ajax 1.640 19 6 1 1 22 8 8 8
16 Club Brugge KV 1.398 4 1 1 4 6 20 6 50
17 BSC Young Boys 1.249 19 5 4 3 20 20 12 9
18 Dinamo Zagreb 0.931 17 5 2 1 10 6 8 12
19 Sporting CP 0.841 10 3 1 4 14 17 8 26
20 Shakhtar Donetsk 0.707 12 3 3 4 9 16 10 23
21 Atalanta 0.623 6 1 3 2 12 13 6 38
22 Zenit St. Petersburg 0.547 5 1 2 3 10 10 6 41
23 FK Kairat 0.466 7 2 1 1 5 7 4 33
23 Crvena Zvezda 0.466 4 1 1 2 7 4 4 44
25 RB Salzburg 0.346 17 5 2 3 14 16 10 13
26 AC Milan 0.238 4 1 1 4 6 9 6 48
27 Borussia Dortmund 0.210 9 3 0 3 10 11 6 27
28 FC Porto 0.197 5 1 2 3 4 11 6 43
29 PSV Eindhoven 0.178 13 4 1 1 12 4 6 18
30 Legia Warszawa 0.175 13 4 1 1 9 5 6 19
31 CFR Cluj 0.156 10 3 1 2 10 8 6 25
32 Lille OSC 0.146 11 3 2 3 8 8 8 24
33 FC Barcelona 0.107 7 2 1 3 2 9 6 34
34 Slovan Bratislava 0.104 4 1 1 2 5 5 4 46
35 Malmö FF 0.091 18 5 3 6 14 22 14 11
36 AS Monaco 0.071 7 2 1 1 7 4 4 31
37 VfL Wolfsburg 0.066 5 1 2 3 5 10 6 42
38 Sevilla FC 0.065 6 1 3 2 5 5 6 36
39 Maccabi Haifa 0.058 1 0 1 1 1 3 2 60
40 Ludogorets Razgrad 0.052 15 4 3 1 10 7 8 16
41 Borac Banja Luka 0.052 3 1 0 1 3 4 2 51
41 Shamrock Rovers 0.052 3 1 0 1 2 3 2 53
43 Dynamo Kyiv 0.051 1 0 1 5 1 11 6 62
44 Olympiacos Piraeus 0.026 8 2 2 0 5 3 4 28
45 HJK Helsinki 0.007 7 2 1 1 10 5 4 29
45 NŠ Mura 0.007 7 2 1 1 7 3 4 30
47 Riga FC 0.003 1 0 1 1 1 2 2 59
48 Ferencvárosi TC 0 15 5 0 3 17 9 8 15
48 FC Flora 0 6 2 0 2 6 3 4 35
48 Neftçi PFK 0 6 2 0 2 4 4 4 37
48 FK Žalgiris Vilnius 0 6 2 0 2 6 7 4 39
48 KF Prishtina 0 6 2 0 2 5 6 4 40
48 Lincoln Red Imps 0 4 1 1 2 8 6 4 45
48 FC Alashkert 0 4 1 1 2 4 6 4 47
48 FC Midtjylland 0 4 1 1 2 3 6 4 49
48 Rapid Wien 0 3 1 0 1 2 3 2 52
48 Inter Club d'Escaldes 0 3 1 0 1 1 2 2 54
48 Slavia Praha 0 3 1 0 1 1 2 2 55
48 Sparta Praha 0 3 1 0 3 4 7 4 56
48 Celtic 0 1 0 1 1 2 3 2 57
48 Connah's Quay Nomads 0 1 0 1 1 2 3 2 58
48 CS FOLA Esch 0 1 0 1 1 2 7 2 61
48 HB Tórshavn 0 0 0 0 1 0 1 1 63
48 Brøndby IF 0 0 0 0 2 2 4 2 64
48 Dinamo Tbilisi 0 0 0 0 2 2 4 2 65
48 KRC Genk 0 0 0 0 2 2 4 2 66
48 Rangers 0 0 0 0 2 2 4 2 67
48 Shakhter Soligorsk 0 0 0 0 2 0 2 2 68
48 SS Folgore/Falciano 0 0 0 0 1 0 2 1 69
48 FK Bodø/Glimt 0 0 0 0 2 2 5 2 70
48 Linfield 0 0 0 0 2 2 5 2 71
48 Valur Reykjavík 0 0 0 0 2 2 5 2 72
48 Omonia Nicosia 0 0 0 0 2 0 3 2 73
48 Spartak Moskva 0 0 0 0 2 0 4 2 74
48 Galatasaray 0 0 0 0 2 2 7 2 75
48 Hibernians FC 0 0 0 0 2 0 5 2 76
48 KF Teuta Durrës 0 0 0 0 2 0 5 2 77
48 FK Budućnost Podgorica 0 0 0 0 2 1 7 2 78
48 KF Shkëndija 0 0 0 0 2 0 6 2 79
48 Beşiktaş 0 0 0 0 6 3 19 6 80

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

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Matches decided on penalties are treated as ties.