Number of selected skew morphism classes of C_500 is 0
Total number of skew morphisms of C_500 is 13752
Total number of skew morphism classes of C_500 is 50
Total number of automorphisms of C_500 is 200

1. Skew morphsim class of size 1 #
     
     of order 1 √
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

2. Skew morphsim class of size 20 #
     
     of order 50 √
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

3. Skew morphsim class of size 40 #
     
     of order 100 √
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

4. Skew morphsim class of size 20 #
     
     of order 25 √
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

5. Skew morphsim class of size 4 #
     
     of order 10 √
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

6. Skew morphsim class of size 8 #
     
     of order 20 √
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

7. Skew morphsim class of size 2 #
     
     of order 4 √
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

8. Skew morphsim class of size 4 #
     
     of order 5 √
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

9. Skew morphsim class of size 1 #
     
     of order 2 √
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

10. Skew morphsim class of size 20 #
      
      of order 50 √
      with kernel of order 500
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

11. Skew morphsim class of size 40 #
      
      of order 100 √
      with kernel of order 500
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

12. Skew morphsim class of size 20 #
      
      of order 50 √
      with kernel of order 500
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

13. Skew morphsim class of size 4 #
      
      of order 10 √
      with kernel of order 500
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

14. Skew morphsim class of size 8 #
      
      of order 20 √
      with kernel of order 500
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

15. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 500
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

16. Skew morphsim class of size 4 #
      
      of order 10 √
      with kernel of order 500
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

17. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 500
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

18. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 500
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

19. Skew morphsim class of size 4 #
      
      of order 5 √
      with kernel of order 250
      and smallest kernel generator 2
      and power function values [ 1, 4 ] #
      and with periodicity 1
    
    

20. Skew morphsim class of size 4 #
      
      of order 10 √
      with kernel of order 250
      and smallest kernel generator 2
      and power function values [ 1, 9 ] #
      and with periodicity 1
    
    

21. Skew morphsim class of size 20 #
      
      of order 25 √
      with kernel of order 250
      and smallest kernel generator 2
      and power function values [ 1, 24 ] #
      and with periodicity 1
    
    

22. Skew morphsim class of size 20 #
      
      of order 50 √
      with kernel of order 250
      and smallest kernel generator 2
      and power function values [ 1, 49 ] #
      and with periodicity 1
    
    

23. Skew morphsim class of size 100 #
      
      of order 125 √
      with kernel of order 250
      and smallest kernel generator 2
      and power function values [ 1, 124 ] #
      and with periodicity 1
    
    

24. Skew morphsim class of size 100 #
      
      of order 250 √
      with kernel of order 250
      and smallest kernel generator 2
      and power function values [ 1, 249 ] #
      and with periodicity 1
    
    

25. Skew morphsim class of size 8 #
      
      of order 5 √
      with kernel of order 125
      and smallest kernel generator 4
      and power function values [ 1, 2, 4, 3 ] #
      and with periodicity 1
    
    

26. Skew morphsim class of size 40 #
      
      of order 25 √
      with kernel of order 125
      and smallest kernel generator 4
      and power function values [ 1, 7, 24, 18 ] #
      and with periodicity 1
    
    

27. Skew morphsim class of size 200 #
      
      of order 125 √
      with kernel of order 125
      and smallest kernel generator 4
      and power function values [ 1, 57, 124, 68 ] #
      and with periodicity 1
    
    

28. Skew morphsim class of size 80 #
      
      of order 50 √
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ] #
      and with periodicity 1
    
    

29. Skew morphsim class of size 80 #
      
      of order 25 √
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 6, 11, 16, 21 ] #
      and with periodicity 1
    
    

30. Skew morphsim class of size 80 #
      
      of order 25 √
      with kernel of order 50
      and smallest kernel generator 10
      and power function values [ 1, 9, 6, 4, 11, 24, 16, 19, 21, 14 ] #
      and with periodicity 1
    
    

31. Skew morphsim class of size 80 #
      
      of order 50 √
      with kernel of order 50
      and smallest kernel generator 10
      and power function values [ 1, 19, 11, 9, 21, 49, 31, 39, 41, 29 ] #
      and with periodicity 1
    
    

32. Skew morphsim class of size 160 #
      
      of order 25 √
      with kernel of order 25
      and smallest kernel generator 20
      and power function values [ 1, 12, 19, 3, 11, 7, 9, 8, 21, 2, 24, 13, 6, 22, 14, 18, 16, 17, 4, 23 ] #
      and with periodicity 1
    
    

33. Skew morphsim class of size 16 #
      
      of order 10 √
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ] #
      and with periodicity 2
    
    

34. Skew morphsim class of size 16 #
      
      of order 10 √
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ] #
      and with periodicity 2
    
    

35. Skew morphsim class of size 32 #
      
      of order 20 √
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ] #
      and with periodicity 4
    
    

36. Skew morphsim class of size 32 #
      
      of order 20 √
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ] #
      and with periodicity 4
    
    

37. Skew morphsim class of size 80 #
      
      of order 50 √
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ] #
      and with periodicity 2
    
    

38. Skew morphsim class of size 80 #
      
      of order 50 √
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ] #
      and with periodicity 2
    
    

39. Skew morphsim class of size 160 #
      
      of order 100 √
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 21, 41, 61, 81 ] #
      and with periodicity 4
    
    

40. Skew morphsim class of size 160 #
      
      of order 100 √
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 21, 41, 61, 81 ] #
      and with periodicity 4
    
    

41. Skew morphsim class of size 400 #
      
      of order 125 √
      with kernel of order 50
      and smallest kernel generator 10
      and power function values [ 1, 49, 51, 124, 101, 74, 26, 24, 76, 99 ] #
      and with periodicity 5
    
    

42. Skew morphsim class of size 800 #
      
      of order 125 √
      with kernel of order 25
      and smallest kernel generator 20
      and power function values [ 1, 32, 74, 43, 26, 82, 49, 118, 51, 7, 24, 68, 76, 57, 124, 18, 101, 107, 99, 93 ] #
      and with periodicity 5
    
    

43. Skew morphsim class of size 400 #
      
      of order 250 √
      with kernel of order 50
      and smallest kernel generator 10
      and power function values [ 1, 49, 51, 249, 101, 199, 151, 149, 201, 99 ] #
      and with periodicity 5
    
    

44. Skew morphsim class of size 400 #
      
      of order 50 √
      with kernel of order 20
      and smallest kernel generator 25
      and power function values [ 1, 15, 39, 23, 17, 21, 35, 9, 43, 37, 41, 5, 29, 13, 7, 11, 25, 49, 33, 27, 31, 45, 19, 3, 47 ] #
      and with periodicity 10
    
    

45. Skew morphsim class of size 400 #
      
      of order 50 √
      with kernel of order 20
      and smallest kernel generator 25
      and power function values [ 1, 15, 39, 23, 17, 21, 35, 9, 43, 37, 41, 5, 29, 13, 7, 11, 25, 49, 33, 27, 31, 45, 19, 3, 47 ] #
      and with periodicity 10
    
    

46. Skew morphsim class of size 800 #
      
      of order 100 √
      with kernel of order 20
      and smallest kernel generator 25
      and power function values [ 1, 9, 97, 65, 13, 41, 49, 37, 5, 53, 81, 89, 77, 45, 93, 21, 29, 17, 85, 33, 61, 69, 57, 25, 73 ] #
      and with periodicity 20
    
    

47. Skew morphsim class of size 800 #
      
      of order 100 √
      with kernel of order 20
      and smallest kernel generator 25
      and power function values [ 1, 9, 97, 65, 13, 41, 49, 37, 5, 53, 81, 89, 77, 45, 93, 21, 29, 17, 85, 33, 61, 69, 57, 25, 73 ] #
      and with periodicity 20
    
    

48. Skew morphsim class of size 2000 #
      
      of order 125 √
      with kernel of order 10
      and smallest kernel generator 50
      and power function values [ 1, 59, 86, 99, 21, 39, 56, 4, 66, 119, 51, 9, 11, 49, 71, 114, 106, 79, 116, 69, 101, 84, 61, 124, 121, 64, 31, 29, 41, 19, 26, 34, 111, 74, 46, 14, 81, 104, 91, 94, 76, 109, 36, 24, 96, 89, 6, 54, 16, 44 ] #
      and with periodicity 25
    
    

49. Skew morphsim class of size 4000 #
      
      of order 125 √
      with kernel of order 5
      and smallest kernel generator 100
      and power function values [ 1, 102, 89, 13, 31, 62, 34, 103, 86, 72, 79, 18, 41, 7, 99, 8, 21, 117, 94, 73, 26, 27, 64, 88, 56, 112, 9, 53, 111, 122, 54, 93, 66, 57, 74, 83, 46, 42, 69, 23, 51, 77, 39, 38, 81, 37, 109, 3, 11, 47, 29, 43, 91, 107, 49, 33, 71, 92, 44, 98, 76, 2, 14, 113, 106, 87, 84, 78, 36, 97, 4, 118, 116, 32, 24, 108, 96, 17, 19, 48, 101, 52, 114, 63, 6, 12, 59, 28, 61, 22, 104, 68, 16, 82, 124, 58, 121, 67, 119, 123 ] #
      and with periodicity 25
    
    

50. Skew morphsim class of size 2000 #
      
      of order 250 √
      with kernel of order 10
      and smallest kernel generator 50
      and power function values [ 1, 209, 111, 99, 71, 139, 131, 79, 41, 169, 51, 159, 161, 49, 121, 89, 181, 29, 91, 119, 101, 109, 211, 249, 171, 39, 231, 229, 141, 69, 151, 59, 11, 199, 221, 239, 31, 179, 191, 19, 201, 9, 61, 149, 21, 189, 81, 129, 241, 219 ] #
      and with periodicity 25