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|  DECRYPTION STATION — PUZZLE #13302                                |
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  CIPHER TYPE:     EULERS-FORMULA
  SECURITY LEVEL:  6/7

  STATUS:          [ACTIVE — AWAITING DECRYPTION]


  MISSION BRIEFING
  ----------------
Euler's formula: e^(iθ) = cos θ + i sin θ. Each of the 6 angles below represents a point on the unit circle. Compute e^(iθ) for each, then find the landing position on the circle. The letter at position (angle × 26 / 2π) spells the answer word.

  INTERCEPTED DATA
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> angles:
  [1.693919, -0.021873, 0.710748, 4.134598, 3.35377, 3.141632]



> word length:
  6



> hint:
  For each angle θ, compute e^(iθ) = cos(θ) + i sin(θ). The landing position is atan2(sin θ, cos θ) which recovers the angle. letter_index = round(angle × 26 / (2 × π)) mod 26. 6 angles → 6 letters.



> answer format:
  lowercase word, no spaces or punctuation (3-5 letters)





  [INTEL] Pool fill: eulers-formula diff 6


  DECRYPTION INPUT
  ----------------


    
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