Une période unique fait résonner toutes les fractions de n/227 en base 2.  

Le microscope numérique permet alors d'en observer le graphe. 

1/227=0,0000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101...

2/227=0,0000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010...

3/227=0,0000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111...

4/227=0,0000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100...

5/227=0,0000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001...

6/227=0,0000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110...

7/227=0,0000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011...

8/227=0,0000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000...

9/227=0,0000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101...

10/227=0,0000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010...

11/227=0,0000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111...

12/227=0,0000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100...

13/227=0,0000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001...

14/227=0,0000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110...

15/227=0,0001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011...

16/227=0,0001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000...

17/227=0,0001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101...

18/227=0,0001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010...

19/227=0,0001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111...

20/227=0,0001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100...

21/227=0,0001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001...

22/227=0,0001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110...

23/227=0,0001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011...

24/227=0,0001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000...

25/227=0,0001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101...

26/227=0,0001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010...

27/227=0,0001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111...

28/227=0,0001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100...

29/227=0,0010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001...

30/227=0,0010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110...

31/227=0,0010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011...

32/227=0,0010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000...

33/227=0,0010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101...

34/227=0,0010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010...

35/227=0,0010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111...

36/227=0,0010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100...

37/227=0,0010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001...

38/227=0,0010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110...

39/227=0,0010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011...

40/227=0,0010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000...

41/227=0,0010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101...

42/227=0,0010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010...

43/227=0,0011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111...

44/227=0,0011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100...

45/227=0,0011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001...

46/227=0,0011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110...

47/227=0,0011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011...

48/227=0,0011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000...

49/227=0,0011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101...

50/227=0,0011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010...

51/227=0,0011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111...

52/227=0,0011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100...

53/227=0,0011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001...

54/227=0,0011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110...

55/227=0,0011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011...

56/227=0,0011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000...

57/227=0,0100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101...

58/227=0,0100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010...

59/227=0,0100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111...

60/227=0,0100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100...

61/227=0,0100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001...

62/227=0,0100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110...

63/227=0,0100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011...

64/227=0,0100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000...

65/227=0,0100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101...

66/227=0,0100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010...

67/227=0,0100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111...

68/227=0,0100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100...

69/227=0,0100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001...

70/227=0,0100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110...

71/227=0,0101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011...

72/227=0,0101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000...

73/227=0,0101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101...

74/227=0,0101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010...

75/227=0,0101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111...

76/227=0,0101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100...

77/227=0,0101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001...

78/227=0,0101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110...

79/227=0,0101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011...

80/227=0,0101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000...

81/227=0,0101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101...

82/227=0,0101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010...

83/227=0,0101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111...

84/227=0,0101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100...

85/227=0,0101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001...

86/227=0,0110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110...

87/227=0,0110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011...

88/227=0,0110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000...

89/227=0,0110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101...

90/227=0,0110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010...

91/227=0,0110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111...

92/227=0,0110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100...

93/227=0,0110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001...

94/227=0,0110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110...

95/227=0,0110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011...

96/227=0,0110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000...

97/227=0,0110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101...

98/227=0,0110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010...

99/227=0,0110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111...

100/227=0,0111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100...

101/227=0,0111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001...

102/227=0,0111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110...

103/227=0,0111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011...

104/227=0,0111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000...

105/227=0,0111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101...

106/227=0,0111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010...

107/227=0,0111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111...

108/227=0,0111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100...

109/227=0,0111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001...

110/227=0,0111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110...

111/227=0,0111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011...

112/227=0,0111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000...

113/227=0,0111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101...

114/227=0,1000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010...

115/227=0,1000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111...

116/227=0,1000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100...

117/227=0,1000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001...

118/227=0,1000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110...

119/227=0,1000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011...

120/227=0,1000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000...

121/227=0,1000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101...

122/227=0,1000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010...

123/227=0,1000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111...

124/227=0,1000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100...

125/227=0,1000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001...

126/227=0,1000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110...

127/227=0,1000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011...

128/227=0,1001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000...

129/227=0,1001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101...

130/227=0,1001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010...

131/227=0,1001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111...

132/227=0,1001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100...

133/227=0,1001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001...

134/227=0,1001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110...

135/227=0,1001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011...

136/227=0,1001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000...

137/227=0,1001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101...

138/227=0,1001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010...

139/227=0,1001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111...

140/227=0,1001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100...

141/227=0,1001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001...

142/227=0,1010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110...

143/227=0,1010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011...

144/227=0,1010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000...

145/227=0,1010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101...

146/227=0,1010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010...

147/227=0,1010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111...

148/227=0,1010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100...

149/227=0,1010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001...

150/227=0,1010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110...

151/227=0,1010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011...

152/227=0,1010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000...

153/227=0,1010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101...

154/227=0,1010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010...

155/227=0,1010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111...

156/227=0,1010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100...

157/227=0,1011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001...

158/227=0,1011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110...

159/227=0,1011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011...

160/227=0,1011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000...

161/227=0,1011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101...

162/227=0,1011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010...

163/227=0,1011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111...

164/227=0,1011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100...

165/227=0,1011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001...

166/227=0,1011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110...

167/227=0,1011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011...

168/227=0,1011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000...

169/227=0,1011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101...

170/227=0,1011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010...

171/227=0,1100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111...

172/227=0,1100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100...

173/227=0,1100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001...

174/227=0,1100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110...

175/227=0,1100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011...

176/227=0,1100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000...

177/227=0,1100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101...

178/227=0,1100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010...

179/227=0,1100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111...

180/227=0,1100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100...

181/227=0,1100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001...

182/227=0,1100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110...

183/227=0,1100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011...

184/227=0,1100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000...

185/227=0,1101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101...

186/227=0,1101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010...

187/227=0,1101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111...

188/227=0,1101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100...

189/227=0,1101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001...

190/227=0,1101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110...

191/227=0,1101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011...

192/227=0,1101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000...

193/227=0,1101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101...

194/227=0,1101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010...

195/227=0,1101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111...

196/227=0,1101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100...

197/227=0,1101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001...

198/227=0,1101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110...

199/227=0,1110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011...

200/227=0,1110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000...

201/227=0,1110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101...

202/227=0,1110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010...

203/227=0,1110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111...

204/227=0,1110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100...

205/227=0,1110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001...

206/227=0,1110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110...

207/227=0,1110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011...

208/227=0,1110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000...

209/227=0,1110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101...

210/227=0,1110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010...

211/227=0,1110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111...

212/227=0,1110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011111100100...

213/227=0,1111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001...

214/227=0,1111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110...

215/227=0,1111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101111101001011100011110011100110000011...

216/227=0,1111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000...

217/227=0,1111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111111101101...

218/227=0,1111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010...

219/227=0,1111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010111...

220/227=0,1111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100...

221/227=0,1111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110111110100101110001111001110011000001...

222/227=0,1111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011111110110...

223/227=0,1111101101111101001011100011110011100110000011111100100111011110001010101101101011001000101111010111011001101010000000100100000101101000111000011000110011111000000110110001000011101010100100101001101110100001010001001100101011...

224/227=0,1111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101111111011011111010010111000111100111001100000...

225/227=0,1111110110111110100101110001111001110011000001111110010011101111000101010110110101100100010111101011101100110101000000010010000010110100011100001100011001111100000011011000100001110101010010010100110111010000101000100110010101...

226/227=0,1111111011011111010010111000111100111001100000111111001001110111100010101011011010110010001011110101110110011010100000001001000001011010001110000110001100111110000001101100010000111010101001001010011011101000010100010011001010...