Lyndon words (aperiodic necklaces), corresponding irreducible polynomials, the number of the orbit they belong to, the dimension of the F_2-subspace in F_{2^n} spanned by the roots of the polynomial, and, at the end, the list of orbits under the action of the automorphism group of neclaces. Compiled by D.Pasechnik (Singapore). num. orb. dim. word polynomial 1. 1 3 001 x^3 + x^2 + 1 2. 2 2 011 x^3 + x + 1 [[1], [2]] num. orb. dim. word polynomial 1. 1 4 0001 x^4 + x^3 + 1 2. 2 3 0011 x^4 + x + 1 3. 1 4 0111 x^4 + x^3 + x^2 + x + 1 [[1, 3], [2]] num. orb. dim. word polynomial 1. 1 5 00001 x^5 + x^4 + x^2 + x + 1 2. 2 4 00011 x^5 + x^3 + x^2 + x + 1 3. 2 4 00101 x^5 + x^3 + 1 4. 1 5 00111 x^5 + x^4 + x^3 + x + 1 5. 1 5 01011 x^5 + x^4 + x^3 + x^2 + 1 6. 2 4 01111 x^5 + x^2 + 1 [[1, 4, 5], [2, 3, 6]] num. orb. dim. word polynomial 1. 1 6 000001 x^6 + x^5 + 1 2. 2 5 000011 x^6 + x + 1 3. 3 4 000101 x^6 + x^3 + 1 4. 4 4 000111 x^6 + x^5 + x^3 + x^2 + 1 5. 1 6 001011 x^6 + x^5 + x^4 + x + 1 6. 1 6 001101 x^6 + x^5 + x^4 + x^2 + 1 7. 3 4 001111 x^6 + x^4 + x^2 + x + 1 8. 2 5 010111 x^6 + x^4 + x^3 + x + 1 9. 1 6 011111 x^6 + x^5 + x^2 + x + 1 [[1, 5, 6, 9], [2, 8], [3, 7], [4]] num. orb. dim. word polynomial 1. 1 7 0000001 x^7 + x^6 + 1 2. 2 6 0000011 x^7 + x^3 + x^2 + x + 1 3. 2 6 0000101 x^7 + x^4 + x^3 + x^2 + 1 4. 2 6 0001001 x^7 + x^5 + x^4 + x^3 + x^2 + x + 1 5. 1 7 0000111 x^7 + x^6 + x^4 + x + 1 6. 3 4 0001011 x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + 1 7. 4 4 0001101 x^7 + x^6 + x^5 + x^4 + 1 8. 1 7 0010011 x^7 + x^6 + x^3 + x + 1 9. 1 7 0010101 x^7 + x^6 + x^5 + x^3 + x^2 + x + 1 10. 2 6 0001111 x^7 + x^5 + x^4 + x^3 + 1 11. 5 3 0010111 x^7 + x^3 + 1 12. 2 6 0011011 x^7 + x^5 + x^2 + x + 1 13. 6 3 0011101 x^7 + x + 1 14. 2 6 0101011 x^7 + x^4 + 1 15. 1 7 0011111 x^7 + x^6 + x^5 + x^4 + x^2 + x + 1 16. 1 7 0101111 x^7 + x^6 + x^5 + x^2 + 1 17. 1 7 0110111 x^7 + x^6 + x^4 + x^2 + 1 18. 2 6 0111111 x^7 + x^5 + x^3 + x + 1 [[1, 5, 8, 9, 15, 16, 17], [2, 4, 14, 18, 3, 10, 12], [6], [7], [11], [13]] num. orb. dim. word polynomial 1. 1 8 00000001 x^8 + x^7 + x^2 + x + 1 2. 2 7 00000011 x^8 + x^4 + x^3 + x + 1 3. 3 6 00000101 x^8 + x^5 + x^3 + x + 1 4. 2 7 00001001 x^8 + x^6 + x^5 + x^4 + x^2 + x + 1 5. 1 8 00000111 x^8 + x^7 + x^5 + x^4 + x^3 + x^2 + 1 6. 1 8 00001011 x^8 + x^7 + x^6 + x^5 + x^4 + x + 1 7. 1 8 00001101 x^8 + x^7 + x^6 + x^5 + x^4 + x^2 + 1 8. 1 8 00010011 x^8 + x^7 + x^5 + x^3 + 1 9. 1 8 00010101 x^8 + x^7 + x^6 + x^5 + x^2 + x + 1 10. 1 8 00011001 x^8 + x^7 + x^5 + x^4 + 1 11. 1 8 00100101 x^8 + x^7 + x^5 + x + 1 12. 4 5 00001111 x^8 + x^6 + x^5 + x^3 + 1 13. 2 7 00010111 x^8 + x^5 + x^4 + x^3 + 1 14. 3 6 00011011 x^8 + x^6 + x^5 + x + 1 15. 2 7 00011101 x^8 + x^5 + x^3 + x^2 + 1 16. 3 6 00100111 x^8 + x^6 + x^5 + x^2 + 1 17. 2 7 00101011 x^8 + x^6 + x^3 + x^2 + 1 18. 4 5 00101101 x^8 + x^6 + x^5 + x^4 + x^3 + x + 1 19. 2 7 00110101 x^8 + x^6 + x^4 + x^3 + x^2 + x + 1 20. 1 8 00011111 x^8 + x^7 + x^6 + x^4 + x^2 + x + 1 21. 1 8 00101111 x^8 + x^7 + x^3 + x^2 + 1 22. 1 8 00110111 x^8 + x^7 + x^6 + x^4 + x^3 + x^2 + 1 23. 1 8 00111011 x^8 + x^7 + x^6 + x + 1 24. 1 8 00111101 x^8 + x^7 + x^3 + x + 1 25. 1 8 01010111 x^8 + x^7 + x^4 + x^3 + x^2 + x + 1 26. 1 8 01011011 x^8 + x^7 + x^6 + x^3 + x^2 + x + 1 27. 2 7 00111111 x^8 + x^4 + x^3 + x^2 + 1 28. 3 6 01011111 x^8 + x^5 + x^4 + x^3 + x^2 + x + 1 29. 2 7 01101111 x^8 + x^6 + x^5 + x^4 + 1 30. 1 8 01111111 x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + 1 [[1, 5, 6, 7, 8, 9, 10, 11, 20, 21, 22, 23, 24, 25, 26, 30], [2, 4, 15, 13, 19, 27, 17, 29], [3, 14, 16, 28], [12, 18]] num. orb. dim. word polynomial 1. 1 9 000000001 x^9 + x^8 + 1 2. 2 8 000000011 x^9 + x^4 + x^2 + x + 1 3. 2 8 000000101 x^9 + x^6 + x^4 + x^3 + x^2 + x + 1 4. 3 6 000001001 x^9 + x^7 + x^6 + x^3 + x^2 + x + 1 5. 2 8 000010001 x^9 + x^7 + x^5 + x^4 + x^2 + x + 1 6. 4 7 000000111 x^9 + x^8 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 7. 1 9 000001011 x^9 + x^8 + x^7 + x^6 + x^4 + x^2 + 1 8. 1 9 000001101 x^9 + x^8 + x^7 + x^6 + x^5 + x + 1 9. 1 9 000010011 x^9 + x^8 + x^6 + x^3 + 1 10. 4 7 000010101 x^9 + x^8 + x^7 + x^6 + x^5 + x^3 + 1 11. 1 9 000011001 x^9 + x^8 + x^6 + x^5 + x^4 + x + 1 12. 4 7 000100011 x^9 + x^8 + x^5 + x + 1 13. 1 9 000100101 x^9 + x^8 + x^4 + x + 1 14. 1 9 000101001 x^9 + x^8 + x^4 + x^3 + x^2 + x + 1 15. 2 8 000001111 x^9 + x^7 + x^6 + x^5 + x^4 + x^2 + 1 16. 2 8 000010111 x^9 + x^6 + x^5 + x^3 + x^2 + x + 1 17. 3 6 000011011 x^9 + x^7 + x^6 + x^4 + x^3 + x + 1 18. 2 8 000011101 x^9 + x^6 + x^5 + x^3 + 1 19. 2 8 000100111 x^9 + x^7 + x^2 + x + 1 20. 2 8 000101011 x^9 + x^7 + x^6 + x^5 + x^4 + x^3 + 1 21. 3 6 000101101 x^9 + x^7 + x^5 + x + 1 22. 2 8 000110011 x^9 + x^6 + x^3 + x + 1 23. 2 8 000110101 x^9 + x^7 + x^6 + x^4 + 1 24. 2 8 000111001 x^9 + x^7 + x^5 + x^3 + x^2 + x + 1 25. 2 8 001001011 x^9 + x^5 + x^3 + x^2 + 1 26. 2 8 001001101 x^9 + x^5 + 1 27. 3 6 001010011 x^9 + x^6 + x^5 + x^2 + 1 28. 2 8 001010101 x^9 + x^7 + x^5 + x^2 + 1 29. 1 9 000011111 x^9 + x^8 + x^7 + x^3 + x^2 + x + 1 30. 1 9 000101111 x^9 + x^8 + x^6 + x^5 + x^3 + x + 1 31. 1 9 000110111 x^9 + x^8 + x^7 + x^6 + x^2 + x + 1 32. 1 9 000111011 x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x + 1 33. 1 9 000111101 x^9 + x^8 + x^6 + x^5 + x^3 + x^2 + 1 34. 4 7 001001111 x^9 + x^8 + x^7 + x^5 + x^4 + x^2 + 1 35. 1 9 001010111 x^9 + x^8 + x^7 + x^5 + x^4 + x^3 + 1 36. 1 9 001011011 x^9 + x^8 + x^5 + x^4 + 1 37. 4 7 001011101 x^9 + x^8 + x^7 + x^6 + x^3 + x^2 + 1 38. 1 9 001100111 x^9 + x^8 + x^6 + x^4 + x^3 + x + 1 39. 4 7 001101011 x^9 + x^8 + x^6 + x^5 + 1 40. 1 9 001101101 x^9 + x^8 + x^5 + x^4 + x^3 + x + 1 41. 1 9 001110101 x^9 + x^8 + x^7 + x^2 + 1 42. 1 9 010101011 x^9 + x^8 + x^7 + x^6 + x^3 + x + 1 43. 3 6 000111111 x^9 + x^6 + x^5 + x^4 + x^3 + x^2 + 1 44. 2 8 001011111 x^9 + x^7 + x^4 + x^3 + 1 45. 2 8 001101111 x^9 + x^6 + x^5 + x^4 + x^2 + x + 1 46. 3 6 001110111 x^9 + x^5 + x^4 + x + 1 47. 2 8 001111011 x^9 + x^6 + x^4 + x^3 + 1 48. 2 8 001111101 x^9 + x^7 + x^5 + x^4 + x^3 + x^2 + 1 49. 3 6 010101111 x^9 + x^7 + x^4 + x^2 + 1 50. 2 8 010110111 x^9 + x^4 + x^3 + x + 1 51. 2 8 010111011 x^9 + x^4 + 1 52. 1 9 001111111 x^9 + x^8 + x^4 + x^2 + 1 53. 1 9 010111111 x^9 + x^8 + x^6 + x^3 + x^2 + x + 1 54. 4 7 011011111 x^9 + x^8 + x^7 + x^5 + 1 55. 1 9 011101111 x^9 + x^8 + x^7 + x^6 + x^4 + x^3 + 1 56. 2 8 011111111 x^9 + x + 1 [[1, 7, 8, 9, 11, 13, 14, 29, 30, 31, 32, 33, 35, 36, 38, 40, 41, 42, 52, 53, 55], [2, 18, 16, 23, 20, 45, 47, 5, 19, 25, 26, 24, 44, 51, 28, 50, 48, 56, 3, 15, 22], [4, 27, 21, 17, 46, 49, 43], [6, 12, 34, 54, 37, 39, 10]] num. orb. dim. word polynomial 1. 1 10 0000000001 x^10 + x^9 + x^4 + x + 1 2. 2 9 0000000011 x^10 + x^4 + x^3 + x + 1 3. 3 8 0000000101 x^10 + x^5 + x^2 + x + 1 4. 2 9 0000001001 x^10 + x^7 + x^5 + x^3 + 1 5. 3 8 0000010001 x^10 + x^8 + x^7 + x^6 + 1 6. 1 10 0000000111 x^10 + x^9 + x^6 + x^3 + x^2 + x + 1 7. 1 10 0000001011 x^10 + x^9 + x^7 + x^6 + x^3 + x^2 + 1 8. 1 10 0000001101 x^10 + x^9 + x^7 + x^5 + x^3 + x^2 + 1 9. 1 10 0000010011 x^10 + x^9 + x^8 + x^7 + 1 10. 1 10 0000010101 x^10 + x^9 + x^8 + x^6 + x^2 + x + 1 11. 1 10 0000011001 x^10 + x^9 + x^8 + x^7 + x^2 + x + 1 12. 1 10 0000100011 x^10 + x^9 + x^7 + x^2 + 1 13. 1 10 0000100101 x^10 + x^9 + x^8 + x^6 + x^5 + x^4 + x^3 + x^2 + 1 14. 1 10 0000101001 x^10 + x^9 + x^8 + x^4 + 1 15. 1 10 0000110001 x^10 + x^9 + x^7 + x^3 + 1 16. 1 10 0001000101 x^10 + x^9 + x^6 + x^4 + 1 17. 1 10 0001001001 x^10 + x^9 + x^8 + x^5 + x^4 + x^2 + 1 18. 3 8 0000001111 x^10 + x^7 + x^6 + x^5 + x^4 + x + 1 19. 2 9 0000010111 x^10 + x^8 + x^3 + x^2 + 1 20. 3 8 0000011011 x^10 + x^8 + x^7 + x^5 + x^3 + x + 1 21. 2 9 0000011101 x^10 + x^8 + x^6 + x^4 + x^2 + x + 1 22. 3 8 0000100111 x^10 + x^5 + x^4 + x^2 + 1 23. 2 9 0000101011 x^10 + x^4 + x^3 + x^2 + 1 24. 3 8 0000101101 x^10 + x^8 + x^6 + x + 1 25. 3 8 0000110011 x^10 + x^8 + x^7 + x^4 + x^3 + x + 1 26. 2 9 0000110101 x^10 + x^3 + 1 27. 3 8 0000111001 x^10 + x^6 + x^5 + x^3 + x^2 + x + 1 28. 2 9 0001000111 x^10 + x^8 + x^6 + x^5 + x^2 + x + 1 29. 3 8 0001001011 x^10 + x^7 + x^4 + x^3 + 1 30. 2 9 0001001101 x^10 + x^6 + x^5 + x + 1 31. 2 9 0001010011 x^10 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x + 1 32. 3 8 0001010101 x^10 + x^8 + x^7 + x^5 + 1 33. 2 9 0001011001 x^10 + x^5 + x^3 + x^2 + 1 34. 2 9 0001100101 x^10 + x^8 + x^7 + x^5 + x^4 + x^3 + 1 35. 3 8 0001101001 x^10 + x^7 + x^3 + x + 1 36. 3 8 0010010011 x^10 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 37. 2 9 0010010101 x^10 + x^7 + x^6 + x^5 + x^3 + x^2 + 1 38. 4 6 0000011111 x^10 + x^9 + x^8 + x^4 + x^3 + x^2 + 1 39. 1 10 0000101111 x^10 + x^9 + x^7 + x^5 + x^4 + x^2 + 1 40. 1 10 0000110111 x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^3 + x + 1 41. 1 10 0000111011 x^10 + x^9 + x^8 + x^7 + x^3 + x^2 + 1 42. 1 10 0000111101 x^10 + x^9 + x^7 + x^6 + x^4 + x^3 + x^2 + x + 1 43. 1 10 0001001111 x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x + 1 44. 1 10 0001010111 x^10 + x^9 + x^5 + x^4 + 1 45. 1 10 0001011011 x^10 + x^9 + x^8 + x^6 + x^4 + x^3 + 1 46. 4 6 0001011101 x^10 + x^9 + x^8 + x^6 + x^5 + x + 1 47. 1 10 0001100111 x^10 + x^9 + x^8 + x^7 + x^6 + x^2 + 1 48. 1 10 0001101011 x^10 + x^9 + x^6 + x^5 + x^4 + x^3 + 1 49. 1 10 0001101101 x^10 + x^9 + x^8 + x^5 + x^3 + x + 1 50. 1 10 0001110011 x^10 + x^9 + x^8 + x^7 + x^5 + x^3 + 1 51. 1 10 0001110101 x^10 + x^9 + x^5 + x^2 + 1 52. 1 10 0001111001 x^10 + x^9 + x^8 + x^7 + x^4 + x + 1 53. 1 10 0010010111 x^10 + x^9 + x^8 + x^5 + x^4 + x^3 + 1 54. 4 6 0010011011 x^10 + x^9 + x^8 + x^3 + x^2 + x + 1 55. 1 10 0010011101 x^10 + x^9 + x^8 + x^6 + x^3 + x^2 + 1 56. 1 10 0010100111 x^10 + x^9 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 57. 1 10 0010101011 x^10 + x^9 + x^7 + x^6 + x^4 + x + 1 58. 1 10 0010101101 x^10 + x^9 + x^8 + x^7 + x^5 + x^4 + 1 59. 1 10 0010110011 x^10 + x^9 + x^5 + x^4 + x^2 + x + 1 60. 1 10 0010110101 x^10 + x^9 + x^8 + x^7 + x^6 + x^4 + x^3 + x + 1 61. 1 10 0011001101 x^10 + x^9 + x^5 + x + 1 62. 1 10 0011010101 x^10 + x^9 + x^7 + x^5 + x^4 + x^3 + x^2 + x + 1 63. 2 9 0000111111 x^10 + x^8 + x^7 + x^3 + x^2 + x + 1 64. 3 8 0001011111 x^10 + x^6 + x^2 + x + 1 65. 2 9 0001101111 x^10 + x^8 + x^6 + x^5 + x^3 + x + 1 66. 3 8 0001110111 x^10 + x^6 + x^5 + x^2 + 1 67. 2 9 0001111011 x^10 + x^8 + x^5 + x + 1 68. 3 8 0001111101 x^10 + x^3 + x^2 + x + 1 69. 2 9 0010011111 x^10 + x^7 + x^6 + x^2 + 1 70. 3 8 0010101111 x^10 + x^8 + x^3 + x + 1 71. 2 9 0010110111 x^10 + x^8 + x^7 + x^6 + x^5 + x^4 + x^2 + x + 1 72. 3 8 0010111011 x^10 + x^8 + x^6 + x^5 + 1 73. 2 9 0010111101 x^10 + x^6 + x^4 + x + 1 74. 2 9 0011001111 x^10 + x^7 + x^6 + x^5 + x^2 + x + 1 75. 3 8 0011010111 x^10 + x^7 + x^6 + x^4 + x^2 + x + 1 76. 2 9 0011011011 x^10 + x^8 + x^7 + x^2 + 1 77. 3 8 0011011101 x^10 + x^8 + x^5 + x^4 + x^3 + x^2 + 1 78. 3 8 0011101011 x^10 + x^7 + 1 79. 2 9 0011101101 x^10 + x^8 + x^7 + x^6 + x^5 + x^2 + 1 80. 3 8 0011110101 x^10 + x^8 + x^4 + x^3 + x^2 + x + 1 81. 2 9 0101010111 x^10 + x^7 + x^6 + x^3 + 1 82. 3 8 0101011011 x^10 + x^8 + x^7 + x^4 + x^2 + x + 1 83. 1 10 0001111111 x^10 + x^9 + x^6 + x^4 + x^3 + x + 1 84. 1 10 0010111111 x^10 + x^9 + x^7 + x^6 + 1 85. 1 10 0011011111 x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 86. 1 10 0011101111 x^10 + x^9 + x^7 + x^6 + x^5 + x^4 + x^2 + x + 1 87. 1 10 0011110111 x^10 + x^9 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + 1 88. 1 10 0011111011 x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + 1 89. 1 10 0011111101 x^10 + x^9 + x^7 + x^5 + x^2 + x + 1 90. 1 10 0101011111 x^10 + x^9 + x^8 + x^6 + x^4 + x^2 + 1 91. 1 10 0101101111 x^10 + x^9 + x^8 + x^4 + x^2 + x + 1 92. 1 10 0101110111 x^10 + x^9 + x^6 + x + 1 93. 1 10 0101111011 x^10 + x^9 + x^8 + x^6 + x^5 + x^4 + x^3 + x + 1 94. 1 10 0110110111 x^10 + x^9 + x^8 + x^5 + 1 95. 3 8 0011111111 x^10 + x^8 + x^4 + x^3 + 1 96. 2 9 0101111111 x^10 + x^8 + x^5 + x^4 + 1 97. 3 8 0110111111 x^10 + x^8 + x^7 + x^6 + x^2 + x + 1 98. 2 9 0111011111 x^10 + x^7 + x^5 + x^3 + x^2 + x + 1 99. 1 10 0111111111 x^10 + x^9 + x^4 + x^2 + 1 [[1, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 99], [2, 4, 21, 19, 26, 63, 23, 34, 65, 67, 31, 74, 76, 28, 33, 30, 69, 79, 37, 73, 71, 96, 98, 81], [3, 20, 22, 27, 64, 5, 68, 70, 29, 35, 80, 32, 82, 36, 78, 75, 24, 77, 97, 66, 72, 18, 25, 95], [38, 46, 54]] num. orb. dim. word polynomial 1. 1 11 00000000001 x^11 + x^10 + x^3 + x + 1 2. 2 10 00000000011 x^11 + x^6 + x^5 + x^4 + 1 3. 2 10 00000000101 x^11 + x^8 + x^7 + x^5 + x^4 + x^3 + 1 4. 2 10 00000001001 x^11 + x^9 + x^7 + x^5 + x^3 + x + 1 5. 2 10 00000010001 x^11 + x^8 + x^5 + x^4 + x^3 + x + 1 6. 2 10 00000100001 x^11 + x^6 + x^2 + x + 1 7. 1 11 00000000111 x^11 + x^10 + x^8 + x^6 + 1 8. 1 11 00000001011 x^11 + x^10 + x^9 + x^6 + x^4 + x^2 + 1 9. 1 11 00000001101 x^11 + x^10 + x^9 + x^6 + x^5 + x^4 + x^3 + x^2 + 1 10. 1 11 00000010011 x^11 + x^10 + x^9 + x^6 + x^5 + x^4 + 1 11. 1 11 00000010101 x^11 + x^10 + x^8 + x^6 + x^5 + x + 1 12. 1 11 00000011001 x^11 + x^10 + x^9 + x^6 + x^2 + x + 1 13. 1 11 00000100011 x^11 + x^10 + x^8 + x^7 + x^4 + x + 1 14. 1 11 00000100101 x^11 + x^10 + x^9 + x^6 + x^4 + x^3 + x^2 + x + 1 15. 1 11 00000101001 x^11 + x^10 + x^9 + x^6 + x^5 + x^4 + x^3 + x + 1 16. 1 11 00000110001 x^11 + x^10 + x^8 + x^6 + x^5 + x^4 + 1 17. 1 11 00001000011 x^11 + x^10 + x^7 + x^3 + 1 18. 1 11 00001000101 x^11 + x^10 + x^6 + x^5 + x^4 + x^2 + 1 19. 1 11 00001001001 x^11 + x^10 + x^7 + x^5 + x^4 + x^3 + x^2 + x + 1 20. 1 11 00001010001 x^11 + x^10 + x^7 + x^4 + x^2 + x + 1 21. 1 11 00010001001 x^11 + x^10 + x^9 + x^8 + x^3 + x + 1 22. 2 10 00000001111 x^11 + x^9 + x^7 + x^6 + x^4 + x^2 + 1 23. 2 10 00000010111 x^11 + x^9 + x^8 + x^7 + x^6 + x^3 + 1 24. 2 10 00000011011 x^11 + x^5 + x^3 + x + 1 25. 2 10 00000011101 x^11 + x^9 + x^8 + x^7 + x^6 + x^4 + x^3 + x^2 + 1 26. 2 10 00000100111 x^11 + x^9 + x^7 + x^6 + x^5 + x^4 + 1 27. 2 10 00000101011 x^11 + x^9 + x^8 + x^6 + 1 28. 2 10 00000101101 x^11 + x^7 + x^4 + x^3 + x^2 + x + 1 29. 2 10 00000110011 x^11 + x^9 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 30. 2 10 00000110101 x^11 + x^9 + x^8 + x^7 + x^6 + x^4 + x^3 + x + 1 31. 2 10 00000111001 x^11 + x^9 + x^6 + x^5 + 1 32. 2 10 00001000111 x^11 + x^7 + x^5 + x^4 + 1 33. 2 10 00001001011 x^11 + x^8 + x^7 + x^6 + x^5 + x^3 + x^2 + x + 1 34. 2 10 00001001101 x^11 + x^5 + x^3 + x^2 + 1 35. 2 10 00001010011 x^11 + x^9 + x^6 + x^5 + x^3 + x^2 + 1 36. 2 10 00001010101 x^11 + x^8 + x^6 + x^4 + 1 37. 2 10 00001011001 x^11 + x^7 + x^3 + x^2 + 1 38. 2 10 00001100011 x^11 + x^8 + x^7 + x^6 + x^2 + x + 1 39. 2 10 00001100101 x^11 + x^9 + x^7 + x^6 + x^5 + x^3 + 1 40. 2 10 00001101001 x^11 + x^8 + x^7 + x^6 + x^5 + x^2 + 1 41. 2 10 00001110001 x^11 + x^7 + x^5 + x^3 + 1 42. 2 10 00010001011 x^11 + x^9 + x^8 + x^6 + x^5 + x^2 + 1 43. 2 10 00010001101 x^11 + x^9 + x^8 + x^6 + x^3 + x + 1 44. 2 10 00010010011 x^11 + x^7 + x^4 + x^2 + 1 45. 2 10 00010010101 x^11 + x^9 + x^6 + x^3 + 1 46. 2 10 00010011001 x^11 + x^8 + x^7 + x^6 + x^4 + x^3 + 1 47. 2 10 00010100011 x^11 + x^8 + x^7 + x^6 + x^5 + x^4 + x^2 + x + 1 48. 2 10 00010100101 x^11 + x^9 + x^8 + x^6 + x^4 + x^3 + 1 49. 2 10 00010101001 x^11 + x^9 + x^7 + x^6 + x^5 + x^3 + x^2 + x + 1 50. 2 10 00011001001 x^11 + x^4 + x^2 + x + 1 51. 2 10 00100100101 x^11 + x^9 + x^8 + x^7 + x^6 + x^5 + x^3 + x^2 + 1 52. 1 11 00000011111 x^11 + x^10 + x^7 + x^6 + x^5 + x + 1 53. 1 11 00000101111 x^11 + x^10 + x^5 + x^4 + 1 54. 1 11 00000110111 x^11 + x^10 + x^4 + x^3 + 1 55. 1 11 00000111011 x^11 + x^10 + x^3 + x^2 + 1 56. 1 11 00000111101 x^11 + x^10 + x^7 + x^6 + x^4 + x^2 + 1 57. 1 11 00001001111 x^11 + x^10 + x^8 + x^7 + x^6 + x^4 + x^3 + x + 1 58. 1 11 00001010111 x^11 + x^10 + x^9 + x^7 + x^6 + x^3 + 1 59. 1 11 00001011011 x^11 + x^10 + x^9 + x^7 + x^6 + x^5 + x^4 + x + 1 60. 1 11 00001011101 x^11 + x^10 + x^8 + x^3 + x^2 + x + 1 61. 1 11 00001100111 x^11 + x^10 + x^9 + x^5 + x^4 + x + 1 62. 1 11 00001101011 x^11 + x^10 + x^8 + x^5 + x^3 + x^2 + 1 63. 1 11 00001101101 x^11 + x^10 + x^9 + x^4 + x^3 + x^2 + 1 64. 1 11 00001110011 x^11 + x^10 + x^9 + x^2 + 1 65. 1 11 00001110101 x^11 + x^10 + x^9 + x^5 + x^3 + x + 1 66. 1 11 00001111001 x^11 + x^10 + x^8 + x^7 + x^6 + x^4 + x^2 + x + 1 67. 1 11 00010001111 x^11 + x^10 + x^9 + x^8 + x^7 + x^5 + x^2 + x + 1 68. 1 11 00010010111 x^11 + x^10 + x^7 + x^6 + x^5 + x^4 + x^2 + x + 1 69. 1 11 00010011011 x^11 + x^10 + x^9 + x^8 + x^7 + x + 1 70. 1 11 00010011101 x^11 + x^10 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 71. 1 11 00010100111 x^11 + x^10 + x^9 + x^8 + x^6 + x^5 + x^4 + x^2 + 1 72. 1 11 00010101011 x^11 + x^10 + x^9 + x^8 + x^6 + x^5 + x^3 + x^2 + 1 73. 1 11 00010101101 x^11 + x^10 + x^8 + x^7 + x^6 + x^5 + 1 74. 1 11 00010110011 x^11 + x^10 + x^7 + x^6 + x^2 + x + 1 75. 1 11 00010110101 x^11 + x^10 + x^8 + x^5 + x^2 + x + 1 76. 1 11 00010111001 x^11 + x^10 + x^8 + x^7 + x^6 + x^5 + x^2 + x + 1 77. 1 11 00011000111 x^11 + x^10 + x^8 + x^4 + x^3 + x^2 + 1 78. 1 11 00011001011 x^11 + x^10 + x^8 + x + 1 79. 1 11 00011001101 x^11 + x^10 + x^4 + x^3 + x^2 + x + 1 80. 1 11 00011010011 x^11 + x^10 + x^8 + x^7 + x^6 + x^3 + 1 81. 1 11 00011010101 x^11 + x^10 + x^9 + x^8 + x^7 + x^5 + x^4 + x^2 + 1 82. 1 11 00011011001 x^11 + x^10 + x^9 + x^8 + x^7 + x^5 + x^3 + x^2 + 1 83. 1 11 00011100101 x^11 + x^10 + x^9 + x^8 + x^7 + x^4 + 1 84. 1 11 00011101001 x^11 + x^10 + x^7 + x^6 + x^4 + x + 1 85. 1 11 00100100111 x^11 + x^10 + x^9 + x^5 + x^4 + x^3 + 1 86. 1 11 00100101011 x^11 + x^10 + x^9 + x^8 + x^7 + x^4 + x^2 + x + 1 87. 1 11 00100101101 x^11 + x^10 + x^7 + x^6 + x^5 + x^3 + 1 88. 1 11 00100110011 x^11 + x^10 + x^9 + x^8 + x^6 + x^5 + x^3 + x + 1 89. 1 11 00100110101 x^11 + x^10 + x^9 + x^8 + x^7 + x^4 + x^3 + x + 1 90. 1 11 00101001011 x^11 + x^10 + x^9 + x^7 + x^6 + x^3 + x^2 + x + 1 91. 1 11 00101001101 x^11 + x^10 + x^9 + x^7 + x^6 + x^5 + x^4 + x^3 + 1 92. 1 11 00101010011 x^11 + x^10 + x^8 + x^7 + x^6 + x^5 + x^4 + x^2 + 1 93. 1 11 00101010101 x^11 + x^10 + x^9 + x^5 + x^2 + x + 1 94. 2 10 00000111111 x^11 + x^9 + x^7 + x^4 + 1 95. 2 10 00001011111 x^11 + x^9 + x^7 + x^5 + x^4 + x^2 + 1 96. 2 10 00001101111 x^11 + x^9 + x^8 + x^7 + x^5 + x^4 + x^2 + x + 1 97. 2 10 00001110111 x^11 + x^7 + x^6 + x + 1 98. 2 10 00001111011 x^11 + x^9 + x^8 + x^7 + x^5 + x^4 + x^3 + x^2 + 1 99. 2 10 00001111101 x^11 + x^9 + x^5 + x^3 + 1 100. 2 10 00010011111 x^11 + x^9 + 1 101. 2 10 00010101111 x^11 + x^8 + x^5 + x^4 + x^2 + x + 1 102. 2 10 00010110111 x^11 + x^9 + x^7 + x^5 + x^4 + x + 1 103. 2 10 00010111011 x^11 + x^9 + x^8 + x^7 + x^3 + x + 1 104. 2 10 00010111101 x^11 + x^9 + x^8 + x + 1 105. 2 10 00011001111 x^11 + x^8 + x^3 + x^2 + 1 106. 2 10 00011010111 x^11 + x^7 + x^6 + x^5 + x^2 + x + 1 107. 2 10 00011011011 x^11 + x^8 + x^5 + x^2 + 1 108. 2 10 00011011101 x^11 + x^9 + x^8 + x^7 + x^4 + x^2 + 1 109. 2 10 00011100111 x^11 + x^9 + x^8 + x^4 + 1 110. 2 10 00011101011 x^11 + x^6 + x^5 + x^4 + x^3 + x + 1 111. 2 10 00011101101 x^11 + x^9 + x^7 + x^2 + 1 112. 2 10 00011110011 x^11 + x^8 + x^5 + x^3 + 1 113. 2 10 00011110101 x^11 + x^8 + x^7 + x^5 + x^3 + x^2 + 1 114. 2 10 00011111001 x^11 + x^9 + x^4 + x^2 + 1 115. 2 10 00100101111 x^11 + x^8 + x^4 + x + 1 116. 2 10 00100110111 x^11 + x^7 + x^6 + x^3 + x^2 + x + 1 117. 2 10 00100111011 x^11 + x^7 + x^6 + x^5 + x^4 + x^2 + 1 118. 2 10 00100111101 x^11 + x^8 + x^7 + x + 1 119. 2 10 00101001111 x^11 + x^9 + x^8 + x^5 + x^4 + x + 1 120. 2 10 00101010111 x^11 + x^7 + x^6 + x^4 + 1 121. 2 10 00101011011 x^11 + x^7 + x^6 + x^5 + x^3 + x + 1 122. 2 10 00101011101 x^11 + x^9 + x^8 + x^5 + x^4 + x^3 + x^2 + x + 1 123. 2 10 00101100111 x^11 + x^9 + x^8 + x^7 + x^5 + x^3 + x^2 + x + 1 124. 2 10 00101101011 x^11 + x^8 + x^7 + x^3 + x^2 + x + 1 125. 2 10 00101101101 x^11 + x^9 + x^7 + x^4 + x^3 + x^2 + 1 126. 2 10 00101110011 x^11 + x^9 + x^4 + x + 1 127. 2 10 00101110101 x^11 + x^9 + x^8 + x^7 + x^4 + x + 1 128. 2 10 00110011011 x^11 + x^6 + x^5 + x + 1 129. 2 10 00110011101 x^11 + x^9 + x^7 + x^5 + x^2 + x + 1 130. 2 10 00110100111 x^11 + x^9 + x^8 + x^3 + 1 131. 2 10 00110101011 x^11 + x^9 + x^8 + x^7 + x^2 + x + 1 132. 2 10 00110101101 x^11 + x^8 + x^7 + x^5 + x^3 + x + 1 133. 2 10 00110110101 x^11 + x^7 + x^6 + x^5 + 1 134. 2 10 00111010101 x^11 + x^6 + x^5 + x^2 + 1 135. 2 10 01010101011 x^11 + x^8 + x^5 + x^4 + x^3 + x^2 + 1 136. 1 11 00001111111 x^11 + x^10 + x^7 + x^5 + x^4 + x + 1 137. 1 11 00010111111 x^11 + x^10 + x^8 + x^7 + x^5 + x^4 + x^3 + x^2 + 1 138. 1 11 00011011111 x^11 + x^10 + x^6 + x^5 + x^3 + x + 1 139. 1 11 00011101111 x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^3 + x^2 + 1 140. 1 11 00011110111 x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^4 + x + 1 141. 1 11 00011111011 x^11 + x^10 + x^7 + x^2 + 1 142. 1 11 00011111101 x^11 + x^10 + x^8 + x^7 + x^5 + x^3 + 1 143. 1 11 00100111111 x^11 + x^10 + x^9 + x^8 + x^5 + x^4 + 1 144. 1 11 00101011111 x^11 + x^10 + x^8 + x^7 + x^5 + x^4 + x^3 + x + 1 145. 1 11 00101101111 x^11 + x^10 + x^9 + x^7 + x^4 + x + 1 146. 1 11 00101110111 x^11 + x^10 + x^8 + x^6 + x^4 + x^2 + 1 147. 1 11 00101111011 x^11 + x^10 + x^9 + x^8 + x^5 + x^4 + x^2 + x + 1 148. 1 11 00101111101 x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^3 + 1 149. 1 11 00110011111 x^11 + x^10 + x^6 + x^5 + x^4 + x + 1 150. 1 11 00110101111 x^11 + x^10 + x^7 + x^4 + x^3 + x + 1 151. 1 11 00110110111 x^11 + x^10 + x^9 + x^8 + x^4 + x^3 + 1 152. 1 11 00110111011 x^11 + x^10 + x^9 + x^7 + x^5 + x^4 + x^3 + x + 1 153. 1 11 00110111101 x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x + 1 154. 1 11 00111001111 x^11 + x^10 + x^9 + x^7 + x^5 + x + 1 155. 1 11 00111010111 x^11 + x^10 + x^9 + x^7 + 1 156. 1 11 00111011011 x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^2 + 1 157. 1 11 00111011101 x^11 + x^10 + x^8 + x^6 + x^5 + x^3 + x^2 + x + 1 158. 1 11 00111101011 x^11 + x^10 + x^6 + x^5 + 1 159. 1 11 00111101101 x^11 + x^10 + x^9 + x^7 + x^4 + x^3 + x^2 + x + 1 160. 1 11 00111110101 x^11 + x^10 + x^8 + x^6 + x^4 + x^3 + 1 161. 1 11 01010101111 x^11 + x^10 + x^9 + x^6 + x^3 + x + 1 162. 1 11 01010110111 x^11 + x^10 + x^7 + x^4 + x^3 + x^2 + 1 163. 1 11 01010111011 x^11 + x^10 + x^6 + x^4 + x^2 + x + 1 164. 1 11 01011010111 x^11 + x^10 + x^8 + x^6 + x^2 + x + 1 165. 1 11 01011011011 x^11 + x^10 + x^8 + x^7 + x^4 + x^3 + x^2 + x + 1 166. 2 10 00011111111 x^11 + x^9 + x^8 + x^6 + x^4 + x^3 + x^2 + x + 1 167. 2 10 00101111111 x^11 + x^8 + x^6 + x^5 + x^4 + x^2 + 1 168. 2 10 00110111111 x^11 + x^8 + x^6 + x^4 + x^3 + x + 1 169. 2 10 00111011111 x^11 + x^9 + x^8 + x^6 + x^5 + x^4 + x^3 + x^2 + 1 170. 2 10 00111101111 x^11 + x^9 + x^7 + x^6 + x^5 + x^4 + x^3 + x + 1 171. 2 10 00111110111 x^11 + x^9 + x^8 + x^7 + x^6 + x^5 + x^2 + x + 1 172. 2 10 00111111011 x^11 + x^8 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 173. 2 10 00111111101 x^11 + x^8 + x^6 + x^3 + 1 174. 2 10 01010111111 x^11 + x^9 + x^8 + x^6 + x^5 + x^3 + x^2 + x + 1 175. 2 10 01011011111 x^11 + x^8 + x^6 + x^5 + x^4 + x + 1 176. 2 10 01011101111 x^11 + x^9 + x^7 + x^6 + x^5 + x + 1 177. 2 10 01011110111 x^11 + x^9 + x^6 + x^5 + x^4 + x^3 + 1 178. 2 10 01011111011 x^11 + x^8 + x^6 + x^2 + 1 179. 2 10 01101101111 x^11 + x^9 + x^7 + x^6 + x^4 + x^3 + x^2 + x + 1 180. 2 10 01101110111 x^11 + x^2 + 1 181. 1 11 00111111111 x^11 + x^10 + x^9 + x^8 + x^6 + x^5 + x^4 + x^3 + 1 182. 1 11 01011111111 x^11 + x^10 + x^9 + x^7 + x^6 + x^4 + x^3 + x^2 + 1 183. 1 11 01101111111 x^11 + x^10 + x^7 + x^6 + x^3 + x^2 + 1 184. 1 11 01110111111 x^11 + x^10 + x^9 + x^5 + 1 185. 1 11 01111011111 x^11 + x^10 + x^9 + x^8 + x^6 + x^4 + x^3 + x^2 + 1 186. 2 10 01111111111 x^11 + x^9 + x^2 + x + 1 [[1, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 181, 182, 183, 184, 185], [2, 4, 25, 23, 30, 94, 27, 39, 96, 98, 35, 47, 105, 107, 112, 128, 6, 41, 37, 34, 32, 43, 114, 111, 109, 49, 104, 102, 45, 100, 42, 46, 116, 132, 130, 118, 173, 171, 134, 169, 123, 51, 122, 120, 127, 167, 124, 115, 117, 125, 175, 180, 135, 178, 177, 176, 174, 186, 5, 26, 33, 44, 50, 40, 31, 28, 95, 103, 126, 106, 97, 36, 101, 121, 131, 110, 48, 119, 133, 129, 113, 108, 99, 166, 172, 168, 170, 179, 3, 22, 24, 29, 38]] num. orb. dim. word polynomial 1. 1 12 000000000001 x^12 + x^11 + x^3 + x^2 + 1 2. 2 11 000000000011 x^12 + x^7 + x^4 + x^3 + 1 3. 3 10 000000000101 x^12 + x^9 + x^8 + x^7 + x^4 + x^3 + 1 4. 4 9 000000001001 x^12 + x^10 + x^9 + x^8 + x^3 + x + 1 5. 5 8 000000010001 x^12 + x^10 + x^7 + x^5 + x^3 + x^2 + 1 6. 2 11 000000100001 x^12 + x^10 + x^6 + x^3 + 1 7. 6 10 000000000111 x^12 + x^11 + x^9 + x^8 + x^7 + x^6 + x^4 + x + 1 8. 1 12 000000001011 x^12 + x^11 + x^10 + x^9 + x^8 + x^5 + x^4 + x^3 + 1 9. 1 12 000000001101 x^12 + x^11 + x^10 + x^9 + x^7 + x^4 + x^2 + x + 1 10. 1 12 000000010011 x^12 + x^11 + x^9 + x^5 + x^3 + x + 1 11. 7 8 000000010101 x^12 + x^11 + x^10 + x^9 + x^8 + x^4 + x^3 + x + 1 12. 1 12 000000011001 x^12 + x^11 + x^9 + x^8 + x^7 + x^5 + x^4 + x^3 + x^2 + x + 1 13. 6 10 000000100011 x^12 + 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