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Custom Symbol Synthetic instrument formulas for Currency Indexes

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I am looking for up-to-date (2025 year) "Synthetic instrument formulas" to create MetaTrader 5 Custom Symbols for Currency Indexes.

I was able to find the Synthetic instrument formula for the U.S. Dollar Index as:  "50.14348112*pow(ask(EURUSD),-0.576)*pow(USDJPY,0.136)*pow(ask(GBPUSD),-0.119)*pow(USDCAD,0.091)*pow(USDSEK,0.042)*pow(USDCHF,0.036)". This formula properly matches other real-time quotes sources, such as from Yahoo Finance "https://finance.yahoo.com/quote/DX-Y.NYB/".

However, I am having a hard time finding correct formulas for the remaining major currency indexes. I was able to find a few different formulas for the EUR Index, although they did NOT match up-to-date real-time quotes.

What are the MetaTrader 5 Synthetic instrument formulas for the remaining major currency indexes? Where are references to find these derived calculation formulas?

Here is a table of currency indexes that I would like to add as MetaTrader 5 Custom Symbols. Included are the symbols for real time quote sources to verify correct formula values.
Yahoo, finance.yahoo.com
Symbol		 TradingView
Symbol
USD U.S. Dollar Index DX-Y.NYB DXY
EUR Euro Currency Index ^XDE EXY
JPY Japenese Yen Currency Index ^XDN JXY
GBP British Pound Currency Index ^XDB BXY
AUD Australian Dollar Currency Index ^XDA AXY
CAD Canadian Dollar Currency Index ^XDC
CXY
CHF Swiss Franc Currency Index ^XDS SXY
NZD New Zealand Dollar Currency Index ^XDZ ZXY

  

The formulas must match real-time data represented by these symbols. Not interested in formulas that return differing values.

Appreciate any help that can be provided. In addition, other top trading volume currency index formulas would also be welcomed!

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