v3.26.1
Shareholder Report, Holdings (Details)
Jun. 30, 2026
C000010464 | BNY-3133ETBN6  
Holdings [Line Items]  
Percent of Net Asset Value 4.00%
C000010464 | BNY-40169J523  
Holdings [Line Items]  
Percent of Net Asset Value 3.30%
C000010464 | BNY-40169J416  
Holdings [Line Items]  
Percent of Net Asset Value 3.20%
C000010464 | Federal Agency Bonds  
Holdings [Line Items]  
Percent of Net Asset Value 4.00%
C000010464 | Commodity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 100.20%
C000010465 | BNY-3133ETBN6  
Holdings [Line Items]  
Percent of Net Asset Value 4.00%
C000010465 | BNY-40169J523  
Holdings [Line Items]  
Percent of Net Asset Value 3.30%
C000010465 | BNY-40169J416  
Holdings [Line Items]  
Percent of Net Asset Value 3.20%
C000010465 | Federal Agency Bonds  
Holdings [Line Items]  
Percent of Net Asset Value 4.00%
C000010465 | Commodity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 100.20%
C000010463 | BNY-3133ETBN6  
Holdings [Line Items]  
Percent of Net Asset Value 4.00%
C000010463 | BNY-40169J523  
Holdings [Line Items]  
Percent of Net Asset Value 3.30%
C000010463 | BNY-40169J416  
Holdings [Line Items]  
Percent of Net Asset Value 3.20%
C000010463 | Federal Agency Bonds  
Holdings [Line Items]  
Percent of Net Asset Value 4.00%
C000010463 | Commodity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 100.20%
C000039064 | BNY-40169J523  
Holdings [Line Items]  
Percent of Net Asset Value 10.60%
C000039064 | BNY-40169J416  
Holdings [Line Items]  
Percent of Net Asset Value 5.10%
C000039064 | BNY-40168Q304  
Holdings [Line Items]  
Percent of Net Asset Value 19.90%
C000039064 | Commodity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 59.70%
C000039064 | Interest Rate Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (139.20%)
C000039064 | Commodity Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (34.00%)
C000039064 | Currency Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (31.00%)
C000039064 | Currency Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 9.40%
C000039064 | Interest Rate Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 18.10%
C000039064 | Equity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 38.80%
C000039065 | BNY-40169J523  
Holdings [Line Items]  
Percent of Net Asset Value 10.60%
C000039065 | BNY-40169J416  
Holdings [Line Items]  
Percent of Net Asset Value 5.10%
C000039065 | BNY-40168Q304  
Holdings [Line Items]  
Percent of Net Asset Value 19.90%
C000039065 | Commodity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 59.70%
C000039065 | Interest Rate Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (139.20%)
C000039065 | Commodity Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (34.00%)
C000039065 | Currency Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (31.00%)
C000039065 | Currency Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 9.40%
C000039065 | Interest Rate Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 18.10%
C000039065 | Equity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 38.80%
C000038557 | BNY-40169J523  
Holdings [Line Items]  
Percent of Net Asset Value 10.60%
C000038557 | BNY-40169J416  
Holdings [Line Items]  
Percent of Net Asset Value 5.10%
C000038557 | BNY-40168Q304  
Holdings [Line Items]  
Percent of Net Asset Value 19.90%
C000038557 | Commodity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 59.70%
C000038557 | Interest Rate Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (139.20%)
C000038557 | Commodity Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (34.00%)
C000038557 | Currency Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (31.00%)
C000038557 | Currency Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 9.40%
C000038557 | Interest Rate Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 18.10%
C000038557 | Equity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 38.80%
C000088408 | BNY-40169J523  
Holdings [Line Items]  
Percent of Net Asset Value 10.60%
C000088408 | BNY-40169J416  
Holdings [Line Items]  
Percent of Net Asset Value 5.10%
C000088408 | BNY-40168Q304  
Holdings [Line Items]  
Percent of Net Asset Value 19.90%
C000088408 | Commodity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 59.70%
C000088408 | Interest Rate Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (139.20%)
C000088408 | Commodity Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (34.00%)
C000088408 | Currency Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (31.00%)
C000088408 | Currency Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 9.40%
C000088408 | Interest Rate Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 18.10%
C000088408 | Equity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 38.80%
C000010439 | BNY-40169J523  
Holdings [Line Items]  
Percent of Net Asset Value 12.50%
C000010439 | BNY-40169J416  
Holdings [Line Items]  
Percent of Net Asset Value 5.00%
C000010439 | BNY-40168Q304  
Holdings [Line Items]  
Percent of Net Asset Value 7.00%
C000010439 | BNY-16115Q308  
Holdings [Line Items]  
Percent of Net Asset Value 2.40%
C000010439 | BNY-655844108  
Holdings [Line Items]  
Percent of Net Asset Value 1.30%
C000010439 | BNY-285512109  
Holdings [Line Items]  
Percent of Net Asset Value 1.30%
C000010439 | BNY-46005L101  
Holdings [Line Items]  
Percent of Net Asset Value 1.30%
C000010439 | BNY-BYPZJQ6  
Holdings [Line Items]  
Percent of Net Asset Value 1.20%
C000010439 | BNY-69349H107  
Holdings [Line Items]  
Percent of Net Asset Value 1.10%
C000010439 | BNY-25401T603  
Holdings [Line Items]  
Percent of Net Asset Value 1.10%
C000010439 | Commodity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 17.30%
C000010439 | Interest Rate Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (56.80%)
C000010439 | Commodity Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (15.40%)
C000010439 | Currency Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (16.40%)
C000010439 | Currency Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 13.20%
C000010439 | Interest Rate Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 18.10%
C000010439 | Equity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 7.80%
C000010439 | OTC Custom Basket Swap Agreements Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (26.90%)
C000010439 | Exchange-Traded Funds Sold Short  
Holdings [Line Items]  
Percent of Net Asset Value (4.80%)
C000010439 | Closed-End Mutual Funds  
Holdings [Line Items]  
Percent of Net Asset Value 5.60%
C000010439 | Common Stocks  
Holdings [Line Items]  
Percent of Net Asset Value 24.00%
C000010439 | OTC Custom Basket Swap Agreements-L  
Holdings [Line Items]  
Percent of Net Asset Value 42.10%
C000010440 | BNY-40169J523  
Holdings [Line Items]  
Percent of Net Asset Value 12.50%
C000010440 | BNY-40169J416  
Holdings [Line Items]  
Percent of Net Asset Value 5.00%
C000010440 | BNY-40168Q304  
Holdings [Line Items]  
Percent of Net Asset Value 7.00%
C000010440 | BNY-16115Q308  
Holdings [Line Items]  
Percent of Net Asset Value 2.40%
C000010440 | BNY-655844108  
Holdings [Line Items]  
Percent of Net Asset Value 1.30%
C000010440 | BNY-285512109  
Holdings [Line Items]  
Percent of Net Asset Value 1.30%
C000010440 | BNY-46005L101  
Holdings [Line Items]  
Percent of Net Asset Value 1.30%
C000010440 | BNY-BYPZJQ6  
Holdings [Line Items]  
Percent of Net Asset Value 1.20%
C000010440 | BNY-69349H107  
Holdings [Line Items]  
Percent of Net Asset Value 1.10%
C000010440 | BNY-25401T603  
Holdings [Line Items]  
Percent of Net Asset Value 1.10%
C000010440 | Commodity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 17.30%
C000010440 | Interest Rate Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (56.80%)
C000010440 | Commodity Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (15.40%)
C000010440 | Currency Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (16.40%)
C000010440 | Currency Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 13.20%
C000010440 | Interest Rate Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 18.10%
C000010440 | Equity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 7.80%
C000010440 | OTC Custom Basket Swap Agreements Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (26.90%)
C000010440 | Exchange-Traded Funds Sold Short  
Holdings [Line Items]  
Percent of Net Asset Value (4.80%)
C000010440 | Closed-End Mutual Funds  
Holdings [Line Items]  
Percent of Net Asset Value 5.60%
C000010440 | Common Stocks  
Holdings [Line Items]  
Percent of Net Asset Value 24.00%
C000010440 | OTC Custom Basket Swap Agreements-L  
Holdings [Line Items]  
Percent of Net Asset Value 42.10%
C000010438 | BNY-40169J523  
Holdings [Line Items]  
Percent of Net Asset Value 12.50%
C000010438 | BNY-40169J416  
Holdings [Line Items]  
Percent of Net Asset Value 5.00%
C000010438 | BNY-40168Q304  
Holdings [Line Items]  
Percent of Net Asset Value 7.00%
C000010438 | BNY-16115Q308  
Holdings [Line Items]  
Percent of Net Asset Value 2.40%
C000010438 | BNY-655844108  
Holdings [Line Items]  
Percent of Net Asset Value 1.30%
C000010438 | BNY-285512109  
Holdings [Line Items]  
Percent of Net Asset Value 1.30%
C000010438 | BNY-46005L101  
Holdings [Line Items]  
Percent of Net Asset Value 1.30%
C000010438 | BNY-BYPZJQ6  
Holdings [Line Items]  
Percent of Net Asset Value 1.20%
C000010438 | BNY-69349H107  
Holdings [Line Items]  
Percent of Net Asset Value 1.10%
C000010438 | BNY-25401T603  
Holdings [Line Items]  
Percent of Net Asset Value 1.10%
C000010438 | Commodity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 17.30%
C000010438 | Interest Rate Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (56.80%)
C000010438 | Commodity Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (15.40%)
C000010438 | Currency Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (16.40%)
C000010438 | Currency Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 13.20%
C000010438 | Interest Rate Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 18.10%
C000010438 | Equity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 7.80%
C000010438 | OTC Custom Basket Swap Agreements Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (26.90%)
C000010438 | Exchange-Traded Funds Sold Short  
Holdings [Line Items]  
Percent of Net Asset Value (4.80%)
C000010438 | Closed-End Mutual Funds  
Holdings [Line Items]  
Percent of Net Asset Value 5.60%
C000010438 | Common Stocks  
Holdings [Line Items]  
Percent of Net Asset Value 24.00%
C000010438 | OTC Custom Basket Swap Agreements-L  
Holdings [Line Items]  
Percent of Net Asset Value 42.10%
C000088407 | BNY-40169J523  
Holdings [Line Items]  
Percent of Net Asset Value 12.50%
C000088407 | BNY-40169J416  
Holdings [Line Items]  
Percent of Net Asset Value 5.00%
C000088407 | BNY-40168Q304  
Holdings [Line Items]  
Percent of Net Asset Value 7.00%
C000088407 | BNY-16115Q308  
Holdings [Line Items]  
Percent of Net Asset Value 2.40%
C000088407 | BNY-655844108  
Holdings [Line Items]  
Percent of Net Asset Value 1.30%
C000088407 | BNY-285512109  
Holdings [Line Items]  
Percent of Net Asset Value 1.30%
C000088407 | BNY-46005L101  
Holdings [Line Items]  
Percent of Net Asset Value 1.30%
C000088407 | BNY-BYPZJQ6  
Holdings [Line Items]  
Percent of Net Asset Value 1.20%
C000088407 | BNY-69349H107  
Holdings [Line Items]  
Percent of Net Asset Value 1.10%
C000088407 | BNY-25401T603  
Holdings [Line Items]  
Percent of Net Asset Value 1.10%
C000088407 | Commodity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 17.30%
C000088407 | Interest Rate Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (56.80%)
C000088407 | Commodity Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (15.40%)
C000088407 | Currency Futures Contracts Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (16.40%)
C000088407 | Currency Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 13.20%
C000088407 | Interest Rate Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 18.10%
C000088407 | Equity Futures Contracts Purchased-L  
Holdings [Line Items]  
Percent of Net Asset Value 7.80%
C000088407 | OTC Custom Basket Swap Agreements Sold Short-S  
Holdings [Line Items]  
Percent of Net Asset Value (26.90%)
C000088407 | Exchange-Traded Funds Sold Short  
Holdings [Line Items]  
Percent of Net Asset Value (4.80%)
C000088407 | Closed-End Mutual Funds  
Holdings [Line Items]  
Percent of Net Asset Value 5.60%
C000088407 | Common Stocks  
Holdings [Line Items]  
Percent of Net Asset Value 24.00%
C000088407 | OTC Custom Basket Swap Agreements-L  
Holdings [Line Items]  
Percent of Net Asset Value 42.10%