  P for omega^1 (2-periodic): [Fraction(0, 1), Fraction(1, 1)]
  P for omega* (4-periodic): [Fraction(-11, 1), Fraction(0, 1), Fraction(1, 1)]  expected x^2-2-lam^2 const=-11
lam=3: 2615 periodic configurations (necklaces, K<= 14 cells); violations=0; undecided=0; time 81.7s
  negative controls (widened intervals must show spectrum) for lam=3: detected
  P for omega^1 (2-periodic): [Fraction(0, 1), Fraction(1, 1)]
  P for omega* (4-periodic): [Fraction(-27, 1), Fraction(0, 1), Fraction(1, 1)]  expected x^2-2-lam^2 const=-27
lam=5: 2615 periodic configurations (necklaces, K<= 14 cells); violations=0; undecided=0; time 85.1s
  negative controls (widened intervals must show spectrum) for lam=5: detected
  P for omega^1 (2-periodic): [Fraction(0, 1), Fraction(1, 1)]
  P for omega* (4-periodic): [Fraction(-82, 9), Fraction(0, 1), Fraction(1, 1)]  expected x^2-2-lam^2 const=-82/9
lam=8/3: 2615 periodic configurations (necklaces, K<= 14 cells); violations=0; undecided=0; time 96.5s
  negative controls (widened intervals must show spectrum) for lam=8/3: detected
  P for omega^1 (2-periodic): [Fraction(0, 1), Fraction(1, 1)]
  P for omega* (4-periodic): [Fraction(-641, 100), Fraction(0, 1), Fraction(1, 1)]  expected x^2-2-lam^2 const=-641/100
lam=21/10: 2615 periodic configurations (necklaces, K<= 14 cells); violations=0; undecided=0; time 102.7s
  negative controls (widened intervals must show spectrum) for lam=21/10: detected
  P for omega^1 (2-periodic): [Fraction(0, 1), Fraction(1, 1)]
  P for omega* (4-periodic): [Fraction(-11, 1), Fraction(0, 1), Fraction(1, 1)]  expected x^2-2-lam^2 const=-11
lam=-3: 2615 periodic configurations (necklaces, K<= 14 cells); violations=0; undecided=0; time 89.8s
  negative controls (widened intervals must show spectrum) for lam=-3: detected
  P for omega^1 (2-periodic): [Fraction(0, 1), Fraction(1, 1)]
  P for omega* (4-periodic): [Fraction(-146, 1), Fraction(0, 1), Fraction(1, 1)]  expected x^2-2-lam^2 const=-146
lam=12: 2615 periodic configurations (necklaces, K<= 14 cells); violations=0; undecided=0; time 89.2s
  negative controls (widened intervals must show spectrum) for lam=12: detected
RESULT: no periodic spectrum in the four gaps for all checked words
python3 periodic_words_exact.py 14  167.48s user 0.55s system 30% cpu 9:05.18 total
