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Quarterly Financial Data (Unaudited) (Details) - USD ($)
3 Months Ended 12 Months Ended
Dec. 31, 2024
Sep. 30, 2024
Jun. 30, 2024
Mar. 31, 2024
Dec. 31, 2023
Sep. 30, 2023
Jun. 30, 2023
Mar. 31, 2023
Dec. 31, 2024
Dec. 31, 2023
Condensed Income Statements, Captions [Line Items]                    
Net premiums earned                 $ 128,497,920 $ 114,384,263
Ceding commission revenue                 18,837,946 21,053,494
Net investment income                 6,823,590 6,008,682
Net gains (losses) on investments                 414,551 2,134,554
Total revenues                 155,142,103 144,190,714
Loss and loss adjustment expenses                 62,634,716 82,849,210
Commission expense and other underwriting expenses                 59,622,060 59,274,591
Net income                 $ 18,358,436 $ (6,168,346)
Basic earnings (loss) per share (in dollars per share)                 $ 1.60 $ (0.57)
Diluted earnings (loss) per share (in dollars per share)                 $ 1.48 $ (0.57)
Premium Earned Not Subject To Concentration                    
Condensed Income Statements, Captions [Line Items]                    
Net premiums earned $ 35,967,212 $ 33,407,194 $ 30,303,612 $ 28,819,902 $ 28,682,796 $ 27,938,318 $ 29,508,196 $ 28,254,953    
Ceding commission revenue 4,967,198 4,741,676 4,561,961 4,567,111 4,659,550 5,536,327 5,412,210 5,445,407    
Net investment income 1,906,461 1,649,673 1,764,596 1,502,860 1,571,474 1,444,360 1,451,356 1,541,492    
Net gains (losses) on investments (904,756) 826,522 (233,606) 726,391 1,536,911 (824,370) 197,142 1,224,871    
Total revenues 42,103,083 40,771,728 36,502,115 35,765,177 36,606,292 34,236,671 36,719,988 36,627,763    
Loss and loss adjustment expenses 17,509,224 13,027,597 14,238,308 17,859,587 16,296,645 21,932,453 19,580,702 25,039,410    
Commission expense and other underwriting expenses 15,857,794 15,898,844 14,133,005 13,732,417 14,179,335 14,529,055 15,154,820 15,411,381    
Net income $ 5,438,675 $ 6,978,145 $ 4,514,937 $ 1,426,679 $ 2,945,952 $ (3,537,571) $ (522,017) $ (5,054,710)    
Basic earnings (loss) per share (in dollars per share) $ 0.44 $ 0.61 $ 0.41 $ 0.13 $ 0.27 $ (0.33) $ (0.05) $ (0.47)    
Diluted earnings (loss) per share (in dollars per share) $ 0.40 $ 0.55 $ 0.37 $ 0.12 $ 0.26 $ (0.33) $ (0.05) $ (0.47)