Sectors & Baskets VS Index

[MrMiyagi]

what are the most efficient, cheapest ways of trading sectors & baskets of stocks VS their parent index?

What products do traders in this area typically use?

Anything I should avoid in this latest weekend quest?

 

[MrMiyagi]

And... How would you structure this trade?

it's just a basic maths question I guess.

Long
1 FTSE future.

Short
AAL MkCap: 19.54B Last: 1484.50
AV MkCap: 8.18B Last: 307.75
BARC MkCap: 23.39B Last: 279.00
TATE MkCap: 1.26B Last: 275.75
IMT MkCap: 15.47B Last: 1,522.00

How do I work out the weighting of each stock relative to their market cap, or is market cap meaningless in this?

thanks