REALLY HARD Greek and Roman puzzle

This puzzle is extremely hard with twists and turns about Greek and Roman Mythology. This puzzle has 14 mind-numbing words that you can only guess if you've done the research I have done, or if your a Psychic, study a lot of Greek Mythology, or if your a Greek or Roman Mythologist or whatever you call it. Good luck!!

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Across

1. I am disrespected from the Greeks and one of my symbols is a spear.

3. I am Hercules wife.

5. I am the owner of the helmet of invincibility.

7. Hades kidnapped me and kept me as his wife.

9. I am the founder of the Vestal virgins.

10. This is is the beginning of time in Greek time.

11. I am the son of Zeus and Io.

13. My realm of authority is strategy.

Down

1. My Greek names my Roman name.

2. I am the hero that killed Medusa.

4. We cut the string deciding your death.

6. We torture the wrong-doing souls of the underworld.

8. I rule the throne on Mt. Olympus.

12. I threw Hephaestus off Mt. Olympus.

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