What do the rewards for the 1st 2 tasks do, i know the 3rd is relic badges, but yeah, i'm doing doing any of the missions without knowing what the rewards do....

Since no one is answering....

Here you go! >> http://galaxylegion.com/wiki/index.php/Carthyne_Symposium

doesn't show what the rewards are only the names of them

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Task 1: Research Hydrodynamic Escape
Reward: Chthonian Exchanger

Chthonian Exchanger : Converts an unoccupied world into a Chthonian planet. the planet's size will decrease by 2. Artifact and Mineral will then each become 50% of the planet 's research resource. All research resources will then be lost.

According to that, the Mining and Artifact BECOME 1/2 of the Research level, NOT have 1/2 ADDED. Also, the example of 16x becoming 8x/8x is wrong. 16x * .5 = 2x because 16x equals a multiplier of 7. Dividing that by 2 results in a 3.5 multiplier which is equivalent to 2x

*Task 1 info above were found in this forum

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Task 2: Perform Cybernetic Link Experiments
Reward: Cybernetic Link Interface (1 on completion)

Cybernetic Link Interface (For ship) Can be upgrade later
Size: 30 (Upkeep: 42.9M) I think its upgrade 50% each time, up to 200%
Attack +40
Defense +40
Cloak +40
Scan +40
Energy +40

I can confirm, adding "Cybernetic" will have no effect on anything. (Your resources or their resources will not be affected) The owner of the planet will not see who dropped the Cyber and no alerted memo on log either but if they go to their planet, they can see someone putted this effect. (Therefore, I wouldn't drop on good planets which i may plan to invade someday)

Hope this help!

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Thanks man that's great help. I think i will do task 2.