List of Links

PRELIMINARY RESULTS

We show now a preliminary list obtained after running the relevant computer program. This list shows all distinct prime links with up to 9 crossings. By clicking on each link notation, the reader may view a presentation of the corresponding link.

3 CROSSINGS

  1. {(1,4),(3,6),(5,2)}
  2. {(1,4),(3,6),<5,2>}

4 CROSSINGS

  1. {(1,4),(3,6),(5,8),(7,2)}

5 CROSSINGS

  1. {(1,4),(3,8),(5,10),(7,2),(9,6)}
  2. {(1,4),(3,8),(5,10),<7,2>,(9,6)}
  3. {(1,6),(3,8),(5,10),(7,2),(9,4)}

6 CROSSINGS

  1. {(1,4),(3,8),(5,10),(7,2),(9,12),(11,6)}
  2. {(1,4),(3,8),(5,10),(7,2),(9,12),<11,6>}
  3. {(1,4),(3,8),(5,10),(7,12),(9,2),(11,6)}
  4. {(1,4),(3,8),(5,12),(7,10),(9,2),(11,6)}

7 CROSSINGS

  1. {(1,4),(3,8),(5,10),(7,12),(9,2),(11,14),(13,6)}
  2. {(1,4),(3,8),<5,10>,(7,12),(9,2),(11,14),(13,6)}
  3. {(1,4),(3,8),(5,12),(7,2),(9,14),(11,6),(13,10)}
  4. {(1,4),(3,10),(5,12),(7,14),(9,2),(11,8),(13,6)}
  5. {(1,4),(3,10),(5,12),(7,14),<9,2>,(11,8),(13,6)}
  6. {(1,4),(3,10),(5,14),(7,12),(9,2),(11,8),(13,6)}
  7. {(1,4),(3,10),(5,14),(7,12),<9,2>,(11,8),(13,6)}
  8. {(1,6),(3,10),(5,12),(7,14),(9,2),(11,4),(13,8)}
  9. {(1,6),(3,10),(5,12),(7,14),(9,4),(11,2),(13,8)}
  10. {(1,8),(3,10),(5,12),(7,14),(9,2),(11,4),(13,6)}

8 CROSSINGS

  1. {(1,4),(3,8),(5,10),(7,14),(9,2),(11,16),(13,6),(15,12)}
  2. {(1,4),(3,8),(5,10),(7,14),(9,2),(11,16),<13,6>,(15,12)}
  3. {(1,4),(3,8),<5,10>,(7,14),(9,2),(11,16),(13,6),(15,12)}
  4. {(1,4),(3,8),(5,12),(7,2),(9,14),(11,6),(13,16),(15,10)}
  5. {(1,4),(3,8),(5,12),(7,2),(14,9),(11,6),(16,13),(10,15)}
  6. {(1,4),(3,8),(12,5),(7,2),(9,14),(6,11),(13,16),(15,10)}
  7. {(1,4),(3,8),(5,12),(7,2),(9,14),(11,6),(13,16),<15,10>}
  8. {(1,4),(3,8),(5,12),(7,2),(14,9),(11,6),(16,13),<15,10>}
  9. {(1,4),(3,8),(12,5),(7,2),(14,9),(6,11),(16,13),<15,10>}
  10. {(1,4),(3,8),(5,12),<7,2>,(9,14),(11,6),(13,16),<15,10>}
  11. {(1,4),(3,8),(5,12),<7,2>,(14,9),(11,6),(16,13),<15,10>}
  12. {(1,4),(3,8),(5,12),(7,2),(9,14),(11,16),(13,6),(15,10)}
  13. {(1,4),(3,8),(12,5),(7,2),(14,9),(16,11),(6,13),(10,15)}
  14. {(1,4),(3,8),(5,12),<7,2>,(9,14),(11,16),(13,6),(15,10)}
  15. {(1,4),(3,8),(5,12),(7,2),(9,16),(11,14),(13,6),(15,10)}
  16. {(1,4),(3,8),(5,12),(7,2),(9,16),(11,14),<13,6>,(15,10)}
  17. {(1,4),(3,8),(5,14),(7,10),(9,2),(11,16),(13,6),(15,12)}
  18. {(1,4),(3,10),(5,12),(7,14),(9,2),(11,16),(13,6),(15,8)}
  19. {(1,4),(3,10),(5,12),(7,14),(9,2),(11,16),(13,8),(15,6)}
  20. {(1,4),(3,10),(5,12),(7,14),(9,16),(11,2),(13,6),(15,8)}
  21. {(1,4),(3,10),(5,12),(7,14),(9,16),(11,2),(13,8),(15,6)}
  22. {(1,4),(3,10),(5,14),(7,16),(9,12),(11,2),(13,8),(15,6)}
  23. {(1,4),(3,10),(5,16),(7,14),(9,12),(11,2),(13,8),(15,6)}
  24. {(1,6),(3,8),(5,10),(7,12),(9,14),(11,16),(13,2),(15,4)}
  25. {(1,6),(3,8),(5,10),(7,12),(9,14),(11,16),(13,2),<15,4>}
  26. {(1,6),(3,8),(5,10),(7,12),<9,14>,(11,16),(13,2),<15,4>}
  27. {(1,6),(3,8),(5,12),(7,2),(9,14),(11,16),(13,4),(15,10)}
  28. {(1,6),(3,8),(5,12),(7,14),(9,4),(11,16),(13,2),(15,10)}
  29. {(1,6),(3,8),(5,14),(7,12),(9,4),(11,16),(13,2),(15,10)}
  30. {(1,6),(3,10),(5,12),(7,14),(9,16),(11,4),(13,2),(15,8)}
  31. {(1,6),(3,10),(5,12),(7,16),(9,14),(11,4),(13,2),(15,8)}
  32. {(1,6),(3,12),(5,10),(7,16),(9,14),(11,4),(13,2),(15,8)}

9 CROSSINGS

  1. {(1,4),(3,8),(5,10),(7,14),(9,2),(11,16),(13,6),(15,18),(17,12)}
  2. {(1,4),(3,8),(5,10),(7,14),(9,2),(16,11),(13,6),(18,15),(12,17)}
  3. {(1,4),(3,8),(5,10),(14,7),(9,2),(11,16),(6,13),(15,18),(17,12)}
  4. {(1,4),(3,8),(5,10),(14,7),(9,2),(16,11),(6,13),(18,15),(12,17)}
  5. {(1,4),(3,8),(5,10),(7,14),(9,2),(11,16),(13,6),(15,18),<17,12>}
  6. {(1,4),(3,8),(5,10),(7,14),(9,2),(16,11),(13,6),(18,15),<17,12>}
  7. {(1,4),(3,8),(5,10),(14,7),(9,2),(16,11),(6,13),(18,15),<17,12>}
  8. {(1,4),(3,8),(5,10),(7,14),(9,2),(11,16),<13,6>,(15,18),(17,12)}
  9. {(1,4),(3,8),<5,10>,(7,14),(9,2),(11,16),(13,6),(15,18),(17,12)}
  10. {(1,4),(3,8),<5,10>,(7,14),(9,2),(11,16),(13,6),(15,18),<17,12>}
  11. {(1,4),(3,8),(5,10),(7,14),(9,2),(11,16),(13,18),(15,6),(17,12)}
  12. {(1,4),(3,8),(5,10),(14,7),(9,2),(16,11),(18,13),(6,15),(12,17)}
  13. {(1,4),(3,8),<5,10>,(7,14),(9,2),(11,16),(13,18),(15,6),(17,12)}
  14. {(1,4),(3,8),(5,10),(7,14),(9,2),(11,18),(13,16),(15,6),(17,12)}
  15. {(1,4),(3,8),<5,10>,(7,14),(9,2),(11,18),(13,16),(15,6),(17,12)}
  16. {(1,4),(3,8),(5,12),(7,2),(9,16),(11,6),(13,18),(15,10),(17,14)}
  17. {(1,4),(3,8),(5,12),<7,2>,(9,16),(11,6),(13,18),(15,10),(17,14)}
  18. {(1,4),(3,8),(5,12),(7,2),(9,16),(11,14),(13,6),(15,18),(17,10)}
  19. {(1,4),(3,8),(5,12),(7,2),(9,16),(11,14),<13,6>,(15,18),(17,10)}
  20. {(1,4),(3,8),(5,12),(7,14),(9,2),(11,16),(13,18),(15,10),(17,6)}
  21. {(1,4),(3,8),(5,12),(7,14),(9,2),(11,16),(13,18),<15,10>,(17,6)}
  22. {(1,4),(3,8),<5,12>,(7,14),(9,2),(11,16),(13,18),(15,10),(17,6)}
  23. {(1,4),(3,8),(5,14),(7,2),(9,16),(11,18),(13,6),(15,12),(17,10)}
  24. {(1,4),(3,8),(5,14),(7,2),(9,18),(11,16),(13,6),(15,12),(17,10)}
  25. {(1,4),(3,8),(5,14),(7,10),(9,2),(11,16),(13,18),(15,6),(17,12)}
  26. {(1,4),(3,8),(5,14),(7,10),(9,2),(11,18),(13,16),(15,6),(17,12)}
  27. {(1,4),(3,8),(5,14),(7,10),(9,2),(11,18),(13,16),<15,6>,(17,12)}
  28. {(1,4),(3,8),(5,14),(7,12),(9,2),(11,16),(13,18),(15,10),(17,6)}
  29. {(1,4),(3,10),(5,12),(7,14),(9,2),(11,18),(13,16),(15,6),(17,8)}
  30. {(1,4),(3,10),(5,12),(7,14),(9,2),(11,18),(13,16),(15,8),(17,6)}
  31. {(1,4),(3,10),(5,12),(7,14),(9,16),(11,2),(13,6),(15,18),(17,8)}
  32. {(1,4),(3,10),(5,12),(7,14),(9,16),(11,2),(13,18),(15,8),(17,6)}
  33. {(1,4),(3,10),(5,12),(7,16),(9,2),(11,8),(13,18),(15,6),(17,14)}
  34. {(1,4),(3,10),(5,12),(7,16),(9,14),(11,2),(13,18),(15,8),(17,6)}
  35. {(1,4),(3,10),(5,14),(7,12),(9,16),(11,2),(13,6),(15,18),(17,8)}
  36. {(1,4),(3,10),(5,14),(7,12),(16,9),(11,2),(13,6),(18,15),(8,17)}
  37. {(1,4),(3,10),(14,5),(12,7),(9,16),(11,2),(6,13),(15,18),(17,8)}
  38. {(1,4),(3,10),(5,14),(7,16),(9,2),(11,18),(13,8),(15,6),(17,12)}
  39. {(1,4),(3,10),(5,14),(7,16),(9,12),(11,2),(13,18),(15,6),(17,8)}
  40. {(1,4),(3,10),(5,14),(7,16),(9,12),(11,2),(13,18),(15,8),(17,6)}
  41. {(1,4),(3,10),(5,16),(7,14),(9,2),(11,18),(13,8),(15,6),(17,12)}
  42. {(1,4),(3,12),(5,14),(7,16),(9,18),(11,2),(13,10),(15,6),(17,8)}
  43. {(1,4),(3,12),(5,14),(7,16),(9,18),<11,2>,(13,10),(15,6),(17,8)}
  44. {(1,4),(3,12),(5,14),(7,16),(9,18),(11,2),(13,10),(15,8),(17,6)}
  45. {(1,4),(3,12),(5,14),(7,16),(9,18),<11,2>,(13,10),(15,8),(17,6)}
  46. {(1,4),(3,12),(5,16),(7,18),(9,14),(11,2),(13,8),(15,10),(17,6)}
  47. {(1,4),(3,12),(5,16),(7,18),(9,14),(11,2),(13,10),(15,8),(17,6)}
  48. {(1,4),(3,12),(5,18),(7,16),(9,14),(11,2),(13,10),(15,8),(17,6)}
  49. {(1,4),(3,12),(5,18),(7,16),(9,14),<11,2>,(13,10),(15,8),(17,6)}
  50. {(1,6),(3,8),(5,10),(7,16),(9,14),(11,18),(13,4),(15,2),(17,12)}
  51. {(1,6),(3,8),(5,10),(7,16),(9,14),(18,11),(13,4),(15,2),(12,17)}
  52. {(1,6),<3,8>,(5,10),(7,16),(9,14),(11,18),(13,4),(15,2),(17,12)}
  53. {(1,6),(3,10),(5,14),(7,12),(9,16),(11,2),(13,18),(15,4),(17,8)}
  54. {(1,6),(10,3),(14,5),(7,12),(16,9),(2,11),(13,18),(4,15),(8,17)}
  55. {(1,6),(3,10),(5,14),(7,18),(9,4),(11,16),(13,2),(15,8),(17,12)}
  56. {(1,6),(3,10),(5,14),(7,18),(9,4),(11,16),(13,8),(15,2),(17,12)}
  57. {(1,6),(3,10),(5,14),(7,18),(9,16),(11,2),(13,8),(15,4),(17,12)}
  58. {(1,6),(3,12),(5,14),(7,16),(9,18),(11,2),(13,4),(15,10),(17,8)}
  59. {(1,6),(3,12),(5,14),(7,16),(9,18),(11,4),(13,2),(15,10),(17,8)}
  60. {(1,6),(3,12),(5,14),(7,18),(9,16),(11,2),(13,4),(15,10),(17,8)}
  61. {(1,6),(3,12),(5,14),(7,18),(9,16),(11,4),(13,2),(15,10),(17,8)}
  62. {(1,6),(3,16),(5,14),(7,12),(9,4),(11,2),(13,18),(15,10),(17,8)}
  63. {(1,8),(3,12),(5,14),(7,16),(9,18),(11,2),(13,4),(15,6),(17,10)}
  64. {(1,8),(3,12),(5,14),(7,16),(9,18),(11,2),(13,6),(15,4),(17,10)}
  65. {(1,8),(3,12),(5,16),(7,14),(9,18),(11,4),(13,2),(15,6),(17,10)}
  66. {(1,10),(3,12),(5,14),(7,16),(9,18),(11,2),(13,4),(15,6),(17,8)}

In order to see why these links are distinct from each other, click here .

Charilaos Aneziris

Copyright 2001

COPYRIGHT STATEMENT

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