Does Religion Help Political Administrations Last?

What polities might those top three asterisks be?

Guess!

Polity Duration vs Religious Complexity
                                                            
300y                                                     
|                                                           
|     *                                                     
|                                                           
|                                                           
|                                                           
|     *      *                                              
|                                                           
|                                                           
|                                                           
|                                                           
|     *                                                     
|                  o                                        
|            *                                             *
|                                                           
|                                                           
|            *                                              
|                                                           
|                                                           
+---------------------------------------------------------
     0                                                    9 
                    Religious Complexity Level              

Legend:
* = No change in complexity:
    - Kansai-Kofun (250-537), Level 1 at (6,4)
    - Late Mongols (1368-1576), Level 1 at (6,8)
    - Rouran Khaganate (300-499), Level 1 at (6,8)
    - Iceland Commonwealth (1056-1262), Level 2 at (13,8)
    - Iceland Commonwealth (930-1055), Level 1 at (6,13)
    - Cahokia-Emergent (900-1000), Level 2 at (13,15)
    - Cahokia-Emergent (1000-1049), Level 3 at (13,18)
    - Spanish Empire II (1716-1814), Level 9 at (54,15)

o = Small change (±1 level):
    - Late Mongols (1576-1690), Level 3→4 at (20,14)

+ = Larger change (>1 level)

Tomorrow, I’ll explain more.