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This has a downward sloping top tube so the effective length is actually 54cm
http://www.bricklanebikes.co.uk/blb-la-piovra-air-frame-matt-black
should fit you based on your height but as has been suggested I would take some measurements first and put them into one of the bike fit calculators online
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The trouble with Track Champions is that they are likely to crack around the seat post clamp and BB shell areas (many examples on here). I have one with a crack near the seat post clamp myself and never had any problems but I only use it on the track. So given that many people on here know about that problem I would probably sell it on ebay or gumtree etc. Hope this helps
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Sorted now, thanks @Vince, nice meeting you!
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I have one of these in 111mm
http://www.wiggle.co.uk/token-tk867-iso-square-cromo-axle-bottom-bracket/
mounted once but gave me too wide a chainline so essentially new. Pm me if interested
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Also re wheels you can buy a new pair from varno with the forum discount code lfgssprice
http://www.lfgss.com/conversations/213086/
or look in the classified for a 2nd hand pair
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This seller sells them in whatever width you need them, might be a bit cheaper than velosolo.
http://www.ebay.co.uk/itm/Axle-Spacer-4-Cycle-FIXED-TRACK-Singlespeed-HUB-GEAR-/200509361055
650cc, see title