(* List of all known Salem numbers < 1.3 *)
(* Based on http://www.math.ucla.edu/~mjm/lc/lists/SalemList.html *)
(* Sign corrections have been applied to that list! *)

{1 + x - x^3 - x^4 - x^5 - x^6 - x^7 + x^9 + x^10, 
 1 - x + x^2 - x^3 - x^6 + x^7 - x^8 + x^9 - x^10 + x^11 - x^12 - x^15 + 
  x^16 - x^17 + x^18, 1 - x^3 - x^4 + x^7 - x^10 - x^11 + x^14, 
 1 - x^2 - x^7 - x^12 + x^14, 1 - x^4 - x^5 - x^6 + x^10, 
 1 - x - x^8 + x^9 - x^10 - x^17 + x^18, 1 - x^3 - x^5 - x^7 + x^10, 
 1 - x - x^5 + x^6 - x^9 + x^10 - x^11 + x^14 - x^15 - x^19 + x^20, 
 1 - x^2 - x^3 + x^7 + x^8 - x^10 - x^11 - x^12 + x^14 + x^15 - x^19 - x^20 + 
  x^22, 1 - x - x^8 - x^15 + x^16, 1 - x^2 - x^5 - x^8 + x^10 + x^13 + x^16 - 
  x^18 - x^21 - x^24 + x^26, 1 - x + x^2 - x^3 - x^6 - x^9 + x^10 - x^11 + 
  x^12, 1 - x^6 - x^7 - x^8 - x^9 - x^10 - x^11 - x^12 + x^18, 
 1 - x^2 - x^5 - x^15 - x^18 + x^20, 1 - x^2 - x^3 + x^5 - x^7 + x^9 - x^11 - 
  x^12 + x^14, 1 - x - x^4 + x^5 - x^9 + x^13 - x^14 - x^17 + x^18, 
 1 - x - x^4 + x^5 - x^7 + x^8 - x^9 + x^11 - x^12 + x^13 - x^15 + x^16 - 
  x^17 + x^19 - x^20 - x^23 + x^24, 1 - x - x^3 + x^4 - x^8 + x^9 - x^10 + 
  x^11 - x^12 + x^13 - x^14 + x^18 - x^19 - x^21 + x^22, 
 1 - x^2 - x^5 - x^8 + x^10, 1 - x - x^6 + x^13 - x^20 - x^25 + x^26, 
 1 - x - x^6 + x^7 - x^8 - x^13 + x^14, 1 - x - x^2 + x^3 - x^9 + x^11 - 
  x^13 + x^19 - x^20 - x^21 + x^22, 1 - x^3 - x^4 - x^5 + x^8, 
 1 - x^6 - x^7 - x^8 - x^9 - x^10 - x^11 - x^12 - x^13 - x^14 - x^15 - x^16 - 
  x^17 - x^18 - x^19 - x^20 + x^26, 1 - 2*x + 2*x^2 - 2*x^3 + 2*x^4 - 2*x^5 + 
  x^6 - x^8 + x^9 - x^10 + x^11 - x^12 + x^14 - 2*x^15 + 2*x^16 - 2*x^17 + 
  2*x^18 - 2*x^19 + x^20, 1 - x^4 - x^6 - x^7 - x^9 - x^11 - x^12 - x^14 + 
  x^18, 1 - 2*x + x^2 + x^3 - 2*x^4 + x^5 - x^8 + x^9 - x^11 + x^12 - x^13 + 
  x^14 - x^15 + x^17 - x^18 + x^21 - 2*x^22 + x^23 + x^24 - 2*x^25 + x^26, 
 1 - x^5 - x^6 - x^7 - x^8 - x^9 - x^10 + x^15 - x^20 - x^21 - x^22 - x^23 - 
  x^24 - x^25 + x^30, 1 - 2*x + 2*x^2 - 2*x^3 + x^4 - x^6 + 2*x^7 - 2*x^8 + 
  x^9 - x^11 + x^12 - x^13 + x^14 - x^15 + x^16 - x^17 + x^18 - x^19 + x^21 - 
  2*x^22 + 2*x^23 - x^24 + x^26 - 2*x^27 + 2*x^28 - 2*x^29 + x^30, 
 1 - x - x^8 - x^12 - x^15 - x^18 - x^22 - x^29 + x^30, 
 1 - x^2 - x^3 + x^7 - x^9 - x^10 + x^12 + x^13 + x^14 - x^16 - x^17 + x^19 - 
  x^23 - x^24 + x^26, 1 - x - x^7 - x^11 + x^19 + x^22 + x^25 - x^33 - x^37 - 
  x^43 + x^44, 1 - x^2 - x^5 - x^6 + x^10 + x^13 - x^15 + x^17 + x^20 - 
  x^24 - x^25 - x^28 + x^30, 1 - x - x^4 + x^5 - x^6 + x^8 - x^9 + x^10 - 
  x^12 + x^13 - x^14 + x^16 - x^17 + x^18 - x^20 + x^21 - x^22 + x^24 - 
  x^25 + x^26 - x^28 + x^29 - x^30 - x^33 + x^34, 
 1 - 2*x + 2*x^2 - 2*x^3 + 2*x^4 - 2*x^5 + 2*x^6 - 3*x^7 + 3*x^8 - 3*x^9 + 
  3*x^10 - 3*x^11 + 2*x^12 - 2*x^13 + 2*x^14 - 2*x^15 + 2*x^16 - 2*x^17 + 
  x^18, 1 - x - x^4 + x^5 - x^6 + x^8 - x^9 + x^10 - x^12 + x^13 - x^14 + 
  x^16 - x^17 + x^18 - x^20 + x^21 - x^22 - x^25 + x^26, 
 1 - x - x^6 - x^18 - x^23 + x^24, 1 - x^2 - x^5 - x^8 + x^10 - x^12 - x^15 - 
  x^18 + x^20, 1 - x^3 - x^5 - x^7 - x^9 - x^11 + x^14 + x^16 + x^18 + x^20 + 
  x^22 + x^24 + x^26 - x^29 - x^31 - x^33 - x^35 - x^37 + x^40, 
 1 - x^4 - x^5 - x^6 - x^7 + x^21 + x^22 + x^23 + x^24 + x^25 - x^39 - x^40 - 
  x^41 - x^42 + x^46, 1 - x^2 - x^3 + x^5 - x^7 - x^8 + x^10, 
 1 - x - x^4 + x^5 - x^6 + x^8 - x^9 + x^10 - x^12 + x^13 - x^14 - x^17 + 
  x^18, 1 - x - x^3 + x^5 + x^7 - 2*x^8 + x^11 + x^12 - x^13 - x^14 - x^15 + 
  x^16 + x^17 + x^18 - x^19 - x^20 - x^21 + x^22 + x^23 - 2*x^26 + x^27 + 
  x^29 - x^31 - x^33 + x^34, 1 - x - x^5 + x^11 - x^17 - x^21 + x^22, 
 1 - x^4 - x^5 - x^6 - x^7 - x^8 + x^12 + x^13 + x^14 + x^15 + x^16 - x^20 - 
  x^21 - x^22 - x^23 - x^24 + x^28, 1 + x - x^3 - 2*x^4 - 2*x^5 - x^6 + x^8 + 
  x^9 - x^11 - x^12 + x^14 + x^15 - x^17 - x^18 - x^19 + x^21 + x^22 - x^24 - 
  x^25 + x^27 + x^28 - x^30 - 2*x^31 - 2*x^32 - x^33 + x^35 + x^36, 
 1 - x - x^2 + 2*x^4 - 2*x^6 - x^7 + 2*x^8 + 2*x^9 - 2*x^10 - 2*x^11 + 
  3*x^13 - 2*x^15 - 2*x^16 + 2*x^17 + 2*x^18 - x^19 - 2*x^20 + 2*x^22 - 
  x^24 - x^25 + x^26}


