To estimate a maximum purchase price for the coin in question, we can consider several factors based on the provided data:

1. Coin Condition: The coin being auctioned has a condition rating of 95 (EBC+), indicating that it is in very good condition. This generally translates to a higher price compared to coins with lower conditions.

2. Starting Price and Previous Prices: The current starting price is 125 euros. The average hammer price in previous auctions for this coin is 126.98 euros, suggesting that the hammer price tends to be close to the starting price.

3. Auction History: The coin has been auctioned 63 times, of which it has sold 58 times. This indicates good demand and consistent interest in the coin. Additionally, the highest recorded hammer price in the past for coins with similar condition (95) is 550 euros, although this is an exceptional case.

4. Price Trends: By observing the hammer prices of coins with similar conditions in the past, we can see that prices have fluctuated, but generally, coins in similar conditions have reached hammer prices that exceed the current starting price.

Based on these factors, an estimated maximum purchase price could be in the range of 150 to 200 euros. This is due to the good condition of the coin and the price trend in previous auctions. However, since the starting price is 125 euros, it is likely that the hammer price will not significantly exceed this range unless there is intense competition among bidders.

Therefore, a reasonable maximum purchase price could be 180 euros.