Lord of the Circles

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Across
  1. 2. Collapsed countryside's cardinal catamorphism
  2. 4. Tree(3)
  3. 5. loga​(x)=loga​(x)? Confusing for a ring-bearer.
  4. 7. Breaking limit with HR creates superior mail
  5. 10. A cold range is bewitching, minus my station.
  6. 12. To call a unique torus
  7. 13. Ordered sequence of symbols, without real numbers, spells trouble for Orcs
  8. 14. Greek corner dimension or men's kingdom?
Down
  1. 1. First becomes lost from number that contains no divided kingdom
  2. 3. Hobbit's radius in permuted meal
  3. 4. The Spanish truncate without you, King Elf.
  4. 6. Hi, I transmit disordered capital.
  5. 8. Commute np𝜋² for a hobbit
  6. 9. Dark figures hear {alphabet, gravitational constant} ∈ ∅
  7. 11. Where you walk to if you add some dor to Gondor