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Summary of Significant Accounting Policies - Revenue (Details)
3 Months Ended 9 Months Ended
Oct. 31, 2022
USD ($)
shares
Oct. 31, 2021
USD ($)
shares
Oct. 31, 2022
USD ($)
contract
item
MT
shares
Oct. 31, 2021
USD ($)
shares
Jan. 31, 2022
USD ($)
Disaggregation of Revenue [Line Items]          
Number of units outstanding | shares 13,120,010 13,120,010 13,120,010 13,120,010  
Revenue from Contract with Customer [Abstract]          
Royalty income   $ 15,836,180 $ 9,794,440 $ 52,982,383  
Base overriding royalties, first tier portion percentage     90.00%    
Base overriding royalties, first tier shipment ceiling (in million tons) | MT     4    
Base overriding royalties, second tier portion percentage     85.00%    
Base overriding royalties, second tier shipment ceiling (in million tons) | MT     2    
Base overriding royalties, third tier portion percentage     25.00%    
Base overriding royalties, third tier shipment threshold (in million tons) | MT     6    
Base overriding royalties, number of volume thresholds for transaction price | item     4    
Base overriding royalties, volume threshold for transaction price | MT     1    
Accrued income receivable $ 34,460   $ 34,460   $ 4,631,510
Number of customer contracts | contract     1    
Contract asset $ 0   $ 0   $ 1,431,633
Base Overriding Royalties          
Revenue from Contract with Customer [Abstract]          
Royalty income   9,644,501 3,829,720 31,929,119  
Bonus Royalties          
Revenue from Contract with Customer [Abstract]          
Royalty income   5,981,907 5,722,317 20,465,070  
Fee Royalties          
Revenue from Contract with Customer [Abstract]          
Royalty income   $ 209,772 $ 242,403 $ 588,194