I know some people still like to look at Sagarin when it comes evaluating things like SOS, but I personally don't think that the model is aging well compared to newer data models like ESPN's FPI Index. I think the FPI model is more dynamic, has more data points, and adjusts the team ranking more effectively on a week-to-week basis based on the individual team performance of those on your schedule as well as the performance of the conference. I'm not sure how the Sagarin data was pulled based on the numbers you provided, but I don't believe those numbers are close to where they are now as those SOS rankings are or should be fluid. (For example, USC has completely outperformed the original predictions, which has allowed our SOS to increase, same with Illini performance). Here is the current FPI data. (FYI... I added two SOS & REM SOS columns to the end of the data as it's not on the primary FPI data tab).
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I also trimmed 4 columns out for the Projection columns, otherwise you can't read the data. Looking at Iowa in the first row, they are #32 with an SOS of 103 for the teams they already played and a Remaining SOS of 35 for the remaining teams on the schedule. Whereas, MN at the bottom line and is currently #43 and you can see SOS & REM SOS. It's important to also note the "TREND" column as Iowa is +5 while Minn is +13. So, we both moved up, but we picked up 8 spots on Iowa. If we beat UNC we are likely even or ahead of Iowa in the rankings. We narrowed the gap substantially in the last few weeks at least with Iowa. However, based on this week (+13) you can see how much you can jump. Granted, data alone isn't a perfect way to evaluate.
All I can say about Sargarin is, do you think Iowa is currently #22 and that Iowa has a 54 points more difficult SOS than Minn, just put the schedules side by side and give it the eye test.
Sorry, way too long-winded on this one.