General ranking based on typical usefulness across various stages of the game, along with their effects and most effective uses:

1. Tungsten Ankh (Increases egg value): Maximizes revenue, especially effective on higher-value eggs.

2. Demeter’s Necklace (Increases egg value): Similar to Tungsten Ankh, enhances earnings.

3. Phoenix Feather (Increases soul egg collection rate): Boosts soul egg accumulation, crucial for prestiges.

4. Aurelian Brooch (Increases drone rewards): Enhances passive income, particularly effective when actively playing.

5. Puzzle Cube (Lowers research costs): Essential for reducing expense, allowing faster farm upgrades.

6. Quantum Metronome (Increases egg laying rate): Accelerates egg production, increasing overall farm output.

7. Neodymium Medallion (Increases drone frequency): More drones mean more opportunities for bonuses.

8. Mercury’s Lens (Increases farm value): Helps reach higher-value eggs quicker.

9. Beak of Midas (Increases gold reward chance): Useful for boosting Golden Egg acquisition.

10. Lunar Totem (Increases away earnings): Beneficial for passive income when not actively playing.

11. Vial of Martian Dust (Increases max running chicken bonus): Enhances bonus from running chickens.

12. Carved Rainstick (Increases chance of cash rewards from gifts and drones): Useful for cash-focused strategies.

13. Interstellar Compass (Increases egg shipping rate): Essential for farms struggling with shipping capacity.

14. The Chalice (Improves internal hatcheries): Useful for increasing chicken population passively.

15. Dilithium Monocle (Increases boost effectiveness): Amplifies the effects of boosts used on the farm.

16. Titanium Actuator (Increases hold to hatch rate): Useful for active playstyles focusing on running chickens.

17. Gusset (Increases hen house capacity): Needed for farms where hen housing is a limiting factor.

18. Ship in a Bottle (Increases co-op mates earnings): Specific to co-op play and contract missions.

19. Tachyon Deflector (Increases co-op mates egg laying rate): Similar to Ship in a Bottle, focused on cooperative play.

20. Book of Basan (Increases effect of Eggs of Prophecy): Its impact is more subtle and long-term.

21. Light of Eggendil (Increases enlightenment egg value): Very specific use for enlightenment egg farms, which is a late-game scenario.

Effective Use of Each Artifact:

• Artifacts Increasing Egg Value (Ankh, Necklace): Best used in high-earning scenarios to maximize profit.

• Soul Egg Boosters (Phoenix Feather): Ideal for prestiges to enhance soul egg earnings.

• Cost Reduction (Puzzle Cube): Apply before undertaking major research to save resources.

• Production Accelerators (Quantum Metronome, Neodymium Medallion): Effective during active farm management for boosting production.

• Value Amplifiers (Mercury’s Lens, Beak of Midas): Useful when aiming to reach new milestones or collecting resources.

• Passive Income Enhancers (Lunar Totem, Vial of Martian Dust): Best for periods of inactivity to continue earning.

• Capacity Boosters (Gusset, Interstellar Compass): Essential when current infrastructure limits growth.

• Boost Effect Enhancers (Dilithium Monocle): Use in conjunction with active boosts for enhanced effects.

• Co-op Play Artifacts (Ship in a Bottle, Tachyon Deflector): Important in multiplayer contracts for mutual benefits.

Each artifact has its unique scenario where it shines the most, and effective use often depends on the current focus of your farm and your long-term strategy.