Baskets corresponding to hamiltonian cubic planar graphs can be described by code words in a shuffled Dyck language called undip. Here are all 70 undip words of length 6 shown alongside the lattice walk interpretation of the word.

1. uuuddd

2. uunddp

3. uundpd

4. uunpdd

5. uududd

6. uudndp

7. uudnpd

8. uuddud

9. uuddnp

10. unuddp

11. unudpd

12. unupdd

13. unndpp

14. unnpdp

15. unnppd

16. undudp

17. undupd

18. undnpp

19. undpud

20. undpnp

21. unpudd

22. unpndp

23. unpnpd

24. unpdud

25. unpdnp

26. uduudd

27. udundp

28. udunpd

29. ududud

30. ududnp

31. udnudp

32. udnupd

33. udnnpp

34. udnpud

35. udnpnp

36. nuuddp

37. nuudpd

38. nuupdd

39. nundpp

40. nunpdp

41. nunppd

42. nududp

43. nudupd

44. nudnpp

45. nudpud

46. nudpnp

47. nupudd

48. nupndp

49. nupnpd

50. nupdud

51. nupdnp

52. nnudpp

53. nnupdp

54. nnuppd

55. nnnppp

56. nnpudp

57. nnpupd

58. nnpnpp

59. nnppud

60. nnppnp

61. npuudd

62. npundp

63. npunpd

64. npudud

65. npudnp

66. npnudp

67. npnupd

68. npnnpp

69. npnpud

70. npnpnp