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Alonso optimistic about Aston Martin upgrade - will it decide his future?
['Andrew Benson']
BBC Sport - Sport
But even at the Spanish Grand Prix last month, a more corner-dependent track, they were four seconds off pole position, and more than three seconds off the Racing Bulls and Audi teams at the front of the midfield.
That is partly why Alonso is resisting the temptation to give any kind of judgement on where the term might end up this weekend.
"The other teams opted for a more conventional upgrade path, bringing 0.1-0.2secs every few races and then you end up with a second in race 12.
The Honda engine is not changing this weekend - the Japanese company is taking a development engine to the next race, the Dutch Grand Prix, after Formula 1's four-week summer break.
Aston Martin chief technical officer Adrian Newey said at the British Grand Prix earlier this month: "It became quite obvious very quickly that we were not going to be competitive in the early races.