Coach Jim Mallinder admits Northampton did not deserve to reach the quarter-finals of the Heineken Cup after their 27-20 defeat at Glasgow.
Saints headed north of the border needing a bonus-point victory to have any chance of going through but Peter Horne's sensational last-gasp try instead condemned them to a 27-20 reverse.
It was Glasgow's first victory in the competition this season, and Mallinder admitted their campaign that never truly got off the ground.
"We showed that when we want to we can get performances; the win at Ulster away - the only visiting team to win at Ravenhill this season - was magnificent for us," he said.
"But to win these competitions you need to be more consistent. We won three games and lost three games and that isn't good enough.
"We came up here to try and get to the quarter-finals of the Heineken Cup. We knew it was an outside chance, we needed four tries. We were close, but we weren't close enough.
"We'll take positives in terms of possession and attacking play," he said. "We said at half-time that we were in the game. We only had one try but we had the wind in our favour and the slope in our favour."
Warriors coach Gregor Townsend said the victory is a morale-boost after some near-misses this season.
"We went down to Northampton - who were Premiership leaders at the time - and we were 15-0 up. We were leading for 75 minutes over at Castres, so we've shown it, we just haven't had the 80 minutes and the winning performance until now."
The match will most likely be remembered by the 4,000 or so spectators for Horne's wonder-try in which he beat half the Saints team on the way to the line.
"Alex Dunbar gave me a great offload and I managed to get on a support line and pick up the ball," he said.
"I tripped myself up a couple of times but I got myself over the try-line. After the first dummy I thought I'll just see what happens but then I got to the 22 I started to realise I might actually makes this.
"I was just delighted to get the try."