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Royalty Agreement, Unallocated Reserve and Distributions (Details) - USD ($)
3 Months Ended 9 Months Ended
Oct. 14, 2022
Oct. 31, 2022
Oct. 31, 2021
Oct. 31, 2022
Oct. 31, 2021
Jan. 31, 2022
Unallocated Cash and Securities portion of Unallocated Reserve            
Cash and U.S. Government securities   $ 14,504,539   $ 14,504,539   $ 47,727,522
Distribution payable           (22,960,018)
Unallocated cash and U.S. Government securities   14,504,539   14,504,539   $ 24,767,504
Reconciliation of Trust's Unallocated Reserve            
Beginning Balance   14,866,946 $ 38,949,339 30,794,752 $ 16,477,049  
Net income (loss)   (413,692) 15,992,906 8,324,122 51,322,806  
Distributions declared     (18,630,414) (24,665,620) (31,488,024)  
Ending Balance   $ 14,453,254 $ 36,311,831 $ 14,453,254 $ 36,311,831  
Distributions declared per unit (in dollars per unit) $ 0 $ 0.00 $ 1.4200 $ 1.8800 $ 2.4000  
Unallocated Reserve member            
Reconciliation of Trust's Unallocated Reserve            
Beginning Balance   $ 14,866,943 $ 38,949,336 $ 30,794,749 $ 16,477,046  
Net income (loss)   (413,692) 15,992,906 8,324,122 51,322,806  
Distributions declared     (18,630,414) (24,665,620) (31,488,024)  
Ending Balance   14,453,251 36,311,828 14,453,251 36,311,828  
Trust Corpus            
Reconciliation of Trust's Unallocated Reserve            
Beginning Balance   3 3 3 3  
Ending Balance   $ 3 $ 3 $ 3 $ 3