Table 3: List of the frequencies identified in HL Tau 76.
n Frequency $\delta f$ Period $\delta P$ $A \pm 0.26$ Phase linear $\Delta f$
  [$\mu $Hz] [$\mu $Hz] [s] [s] [mma]   combination [$\mu $Hz]
1 333.68 0.026 2996.88 0.234 3.83 0.7481 44-35 0.01

2

 572.99 0.015 1745.23 0.045 7.02 0.7008 30-10 0.03

3

 718.99 0.028 1390.84 0.054 3.62 0.1139    

4

 736.67: 0.033 1357.46 0.061 3.14 0.3150 37-10 0.09

5

 765.96 0.036 1305.55 0.060 2.68 0.3277 53-44 0.01

6

 819.34 0.029 1220.49 0.043 3.48 0.4134 41-17 0.06

7

 901.44 0.030 1109.33 0.036 3.31 0.0941 41-14 0.23

8

 906.72 0.017 1102.87 0.020 6.22 0.2139 44-14 0.05

9

 932.40 0.019 1072.50 0.021 5.19 0.2807 15 + 29-36 0.08

10

 933.87 0.010 1070.81 0.011 9.61 0.5495    

11

 936.73 0.010 1067.54 0.011 9.74 0.1600    

12

 938.99 0.009 1064.97 0.011 11.30 0.7761 53-39 0.05

13

 941.09: 0.030 1062.60 0.033 3.23 0.2608    

14

 941.80 0.009 1061.80 0.010 11.44 0.3381    

15

 943.20 0.012 1060.22 0.013 7.67 0.5337    

16

 1021.26 0.024 979.18 0.022 4.34 0.3558    

17

 1024.19 0.016 976.38 0.015 6.46 0.0317    

18

 1026.23 0.020 974.44 0.019 4.96 0.4627    

19

 1029.23 0.026 971.60 0.024 3.89 0.1976    

20

 1071.58 0.032 933.20 0.027 3.22 0.3445    

21

 1074.52 0.028 930.64 0.024 3.62 0.3974    

22

 1089.33: 0.034 917.99 0.028 3.09 0.6275 48-10 0.156

23

 1251.40 0.020 799.10 0.012 5.19 0.4890    

24

 1252.64 0.025 798.31 0.016 4.04 0.1624    

25

 1255.69 0.027 796.37 0.017 3.74 0.3478    

26

 1256.69: 0.029 795.74 0.018 3.55 0.2307    

27

 1259.31 0.020 794.08 0.012 5.10 0.5619    

28

 1261.50 0.025 792.70 0.016 4.08 0.1001    

29

 1505.54 0.007 664.21 0.003 14.99 0.3064    

30

 1506.83 0.008 663.64 0.003 11.90 0.8742    

31

 1508.71 0.027 662.81 0.011 3.49 0.6391    

32

 1509.83 0.009 662.32 0.004 10.84 0.5580    

33

 1510.77 0.013 661.91 0.005 7.61 0.1502    

34

 1511.96 0.011 661.39 0.005 9.30 0.0849    

35

 1514.91 0.013 660.10 0.005 7.35 0.7732    

36

 1516.26 0.009 659.51 0.004 10.71 0.9114    

37

 1670.45 0.029 598.64 0.010 3.55 0.4324    

38

 1674.63 0.022 597.14 0.008 4.48 0.9758    

39

 1675.61 0.007 596.79 0.002 14.60 0.2749    

40

 1840.56 0.018 543.31 0.005 5.57 0.8478 10-14 + 44 0.04

41

 1843.48 0.015 542.45 0.004 6.95 0.9503    

42

 1844.61 0.025 542.12 0.007 3.99 0.7636 30 + 44-33 0.03

43

 1845.74 0.013 541.78 0.004 8.05 0.5639    
44 1848.58 0.003 540.95 0.001 28.45 0.1751    

45

 1849.87 0.022 540.57 0.006 4.40 0.7465 30 + 44-29 0.00

46

 1875.77 0.025 533.11 0.007 3.98 0.4290 10 + 14 0.10

47

 1963.15 0.030 509.38 0.008 3.40 0.2265 14 + 16 0.08

48

 2023.36 0.004 494.22 0.001 4.42 0.8567    

49

 2027.53 0.014 493.21 0.003 7.12 0.7159    

50

 2198.32: 0.035 454.89 0.007 2.78 0.3055 11 + 28 0.07

51

 2448.74 0.018 408.37 0.003 5.62 0.7558 15 + 29 0.00

52

 2612.58 0.022 382.76 0.003 4.50 0.7803 11 + 39 0.23

53

 2614.55 0.006 382.47 0.001 16.47 0.5812    

54

 2782.47 0.018 359.39 0.002 5.69 0.7640 10 + 44 0.02

55

 2965.17: 0.030 337.24 0.003 3.18 0.6527 14 + 48 0.01

56

 3104.91 0.044 322.07 0.003 2.04 0.0194 28 + 41 0.08

57

 3181.10 0.033 314.35 0.004 3.68 0.9605 29 + 39 0.05

58

 3274.64 0.049 305.37 0.005 1.60 0.1444 23 + 48 0.12

59

 3353.96: 0.033 298.15 0.003 3.60 0.8302 29 + 44 0.15

60

 3355.37 0.015 298.03 0.001 7.08 0.4778 30 + 44 0.04

61

 3524.18 0.023 283.75 0.001 4.06 0.8590 39 + 44 0.01

62

 3698.91 0.033 270.35 0.002 3.73 0.5215 39 + 48 0.06

63

 3724.34 0.047 268.50 0.003 1.74 0.0055 11 +15 + 41 0.92

64

 3811.80 0.054 262.34 0.004 1.35 0.4416 13 + 16 + 44 0.86

65

 3871.96 0.014 258.26 0.001 8.00 0.5168 44 + 48 0.02

66

 3876.06 0.049 257.99 0.003 1.62 0.2944 44 + 49 0.05

67

 4046.80 0.034 247.10 0.002 2.84 0.2555 $2\times 48$ 0.08

68

 4050.98 0.046 246.85 0.003 1.84 0.1111 48 + 49 0.09

69

 4120.14 0.034 242.71 0.002 2.88 0.4000 29 + 53 0.05

70

 4292.04 0.058 232.98 0.003 1.06 0.1166 14 + 38 + 39 0.01

71

 4297.37 0.040 232.70 0.003 1.82 0.3944 10 + 35 + 44 0.01

72

 4455.00 0.048 224.46 0.003 1.66 0.2486 13 + 37 + 41 0.03

73

 4458.02 0.050 224.31 0.002 1.52 0.4555 41 + 53 0.01

74

 4461.19 0.038 224.15 0.002 2.42 0.4500 43 + 53 0.90

75

 4637.91 0.025 215.61 0.001 3.96 0.8972 48 + 53 0.00

76

 5029.76 0.044 198.81 0.002 2.06 0.1555 29 + 39 + 44 0.02

77

 5199.63 0.052 192.32 0.002 1.37 0.3944 30 + 41 + 44 0.73

78

 5204.10 0.052 192.15 0.002 1.36 0.1236 32 + 43 + 44 0.05

79

 5227.15 0.056 191.30 0.002 1.24 0.3805 11 + 39 + 53 0.24

80

 5364.76 0.048 186.40 0.001 1.70 0.1972 39 + 41 + 43 0.08

81

 5378.73 0.052 185.91 0.001 1.40 0.2750 30 + 44 + 48 0.05

82

 5547.46 0.045 180.26 0.001 1.90 0.1069 39 + 44 + 48 0.09

83

 5720.65 0.055 174.80 0.001 1.34 0.2166 2 x 44 + 48 0.13

84

 5795.72 0.060 172.54 0.002 1.06 0.4875 29 + 39 + 53 0.01

85

 5895.42 0.049 169.62 0.001 1.60 0.4000 26 + 48 + 53 0.81


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