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Table 1.

Significant frequencies detected in PG 0101+039, by order of increasing frequency.

ID Frequency σf Period σP Amplitude σA S/N m Mode Comments
(μHz) (μHz) (s) (s) (ppm) (ppm)
Frequencies in multiplets

f44 144.0292 0.0104 6943.0373 0.5018 62.52 8.03 7.8 1 0 g ...
f20 144.7187 0.0055 6909.9594 0.2630 117.88 8.01 14.7 1 1 g AFM

f30 155.3015 0.0076 6439.0879 0.3169 84.75 7.99 10.6 1 0 g ...
f37 155.9591 0.0090 6411.9392 0.3690 72.00 7.97 9.0 1 1 g ...

f7 167.6954 0.0021 5963.1940 0.0739 302.10 7.74 39.0 1 −1 g AFM
f27 168.4449 0.0070 5936.6595 0.2469 89.20 7.71 11.6 1 0 g ...
f9 169.0794 0.0030 5914.3814 0.1045 209.27 7.71 27.1 1 1 g AFM

f35 182.5338 0.0082 5478.4369 0.2454 75.49 7.62 9.9 1 −1 g ...
f11 183.1629 0.0031 5459.6210 0.0916 200.91 7.61 26.4 1 0 g AFM
f58 183.8808 0.0122 5438.3060 0.3616 50.05 7.55 6.6 1 1 g ...

f66 200.5844 0.0130 4985.4327 0.3234 45.26 7.26 6.2 2 −1 g ...
f13 201.6434 0.0032 4959.2499 0.0785 181.95 7.16 25.4 2 0 g AFM
f40 202.5375 0.0086 4937.3562 0.2105 67.37 7.18 9.4 2 1 g ...

f43 231.0496 0.0074 4328.0757 0.1381 64.10 5.83 11.0 2 −1 g ...
f46 232.1609 0.0076 4307.3583 0.1407 61.37 5.74 10.7 2 0 g AFM
f64 234.3496 0.0096 4267.1295 0.1757 47.33 5.63 8.4 2 2 g ...

f4 254.6364 0.0009 3927.1685 0.0146 404.06 4.71 85.8 1 0 g S
f28 255.2867 0.0043 3917.1639 0.0665 88.47 4.73 18.7 1 1 g AFM

f22 291.0652 0.0031 3435.6564 0.0362 101.26 3.84 26.4 1 −1 g AFM
f17 291.7374 0.0021 3427.7404 0.0244 149.76 3.83 39.1 1 0 g AFM

f84 332.1861 0.0079 3010.3603 0.0711 33.87 3.28 10.3 2 0 g ...
f94 333.2654 0.0091 3000.6119 0.0822 29.11 3.28 8.9 2 1 g ...
f103 334.3583 0.0107 2990.8035 0.0960 24.70 3.27 7.5 2 2 g ...

f69 343.3255 0.0061 2912.6879 0.0515 42.30 3.17 13.3 1 −1 g ...
f15 343.9567 0.0015 2907.3428 0.0128 169.36 3.15 53.7 1 0 g AFM

f6 377.4207 0.0008 2649.5631 0.0053 302.17 2.84 106.4 1 −1 g AFM
f25 378.0847 0.0026 2644.9102 0.0179 90.28 2.84 31.8 1 0 g AFM
f5 378.7191 0.0008 2640.4797 0.0053 305.51 2.84 107.6 1 1 g AFM

f111 450.1190 0.0091 2221.6350 0.0448 22.56 2.52 8.9 1 −1 g ...
f24 450.8067 0.0021 2218.2457 0.0105 96.53 2.53 38.1 1 0 g AFM

f33 570.2222 0.0025 1753.7022 0.0077 78.16 2.41 32.4 4 −3 g AFM
f60 571.5085 0.0040 1749.7552 0.0122 49.33 2.43 20.3 4 −2 g AFM
f102 572.7683 0.0079 1745.9066 0.0240 25.13 2.44 10.3 4 −1 g ...
f36 574.0246 0.0026 1742.0856 0.0079 75.38 2.43 31.0 4 0 g AFM
f99 576.5143 0.0076 1734.5624 0.0227 26.17 2.44 10.7 4 2 g ...

f79 651.3998 0.0056 1535.1555 0.0132 36.24 2.51 14.4 2 −1 g ...
f176 652.5496 0.0148 1532.4506 0.0348 13.83 2.53 5.5 2 0 g ...
f50 653.5355 0.0036 1530.1388 0.0083 57.54 2.53 22.8 2 1 g AM

f87 702.6498 0.0063 1423.1840 0.0128 32.14 2.51 12.8 6 g ...
f88 705.2075 0.0066 1418.0224 0.0133 30.93 2.53 12.2 6 g ...
f38 707.7781 0.0030 1412.8722 0.0060 69.22 2.55 27.1 6|8 g AFM
f67 710.3852 0.0046 1407.6870 0.0091 45.19 2.55 17.7 8 g AFM
f80 711.7116 0.0059 1405.0636 0.0117 34.99 2.56 13.7 8 g ...

f131 884.2697 0.0109 1130.8767 0.0139 19.76 2.65 7.5 ≥8 g ...
f115 886.9046 0.0097 1127.5170 0.0123 22.01 2.63 8.4 ≥8 g ...
f96 889.5773 0.0075 1124.1294 0.0095 28.02 2.61 10.7 ≥8 g ...
f86 890.9649 0.0065 1122.3786 0.0082 32.78 2.63 12.5 ≥8 g ...

f127 929.4440 0.0103 1075.9121 0.0119 20.49 2.60 7.9 ≥8 g ...
f170 933.3882 0.0146 1071.3656 0.0168 14.49 2.61 5.5 ≥8 g ...
f163 934.7951 0.0142 1069.7532 0.0162 15.08 2.64 5.7 ≥8 g ...

f135 1060.5123 0.0107 942.9405 0.0095 18.60 2.46 7.6 8 g ...
f133 1063.1768 0.0103 940.5773 0.0091 19.34 2.45 7.9 8 g ...
f106 1065.7602 0.0085 938.2973 0.0075 23.46 2.45 9.6 8 g ...

f82 1367.6826 0.0060 731.1638 0.0032 34.83 2.56 13.6 4 Mixed ...
f107 1370.3923 0.0090 729.7180 0.0048 23.21 2.57 9.0 4 Mixed ...
f101 1373.1646 0.0083 728.2448 0.0044 25.15 2.59 9.7 4 Mixed ...

f57 3306.9347 0.0036 302.3948 0.0003 50.25 2.25 22.3 4 p AFM
f128 3310.7620 0.0090 302.0453 0.0008 20.33 2.26 9.0 4 p ...
f177 3312.2120 0.0147 301.9130 0.0013 12.34 2.23 5.5 4 p ...
f167 3313.5855 0.0123 301.7879 0.0011 14.68 2.22 6.6 4 p ...

Other independent frequencies

f23 176.0551 0.0063 5680.0400 0.2049 99.85 7.82 12.8 1 ( * )|2 ( * ) 0 ( * )|−2 ( * ) g AFM
f1 191.4365 0.0004 5223.6643 0.0108 1532.74 7.52 203.9 1 ( * )|2 ( * ) 0 ( * )|2 ( * ) g AFM
f2 211.0751 0.0012 4737.6492 0.0264 466.68 6.77 69.0 2 ( * ) 0 ( * ) g AFM
f19 212.3919 0.0041 4708.2776 0.0918 130.76 6.68 19.6 1 ( * ) 0 ( * ) g AFM
f18 216.2481 0.0036 4624.3181 0.0761 146.22 6.42 22.8 g AFM
f21 238.2989 0.0040 4196.4107 0.0698 110.22 5.39 20.4 1 ( * ) 0 ( * ) g AFM
f10 258.4635 0.0018 3869.0180 0.0273 207.41 4.67 44.4 g AFM
f16 305.5117 0.0019 3273.1966 0.0202 152.56 3.55 43.0 2 ( * ) −2 ( * ) g AFM
f12 314.0817 0.0015 3183.8846 0.0150 187.03 3.42 54.7 1 ( * ) 0 ( * ) g AFM
f14 315.3790 0.0016 3170.7879 0.0159 174.72 3.41 51.3 g AFM
f31 316.7995 0.0034 3156.5707 0.0341 80.68 3.41 23.7 g AFM
f39 390.5330 0.0034 2560.6031 0.0220 67.72 2.80 24.2 2 ( * ) −2 ( * ) g FM
f41 414.4970 0.0033 2412.5626 0.0192 66.65 2.71 24.6 1 ( * ) 0 ( * ) g AFM
f65 607.7807 0.0044 1645.3304 0.0120 45.86 2.51 18.3 g AFM
f73 617.1960 0.0052 1620.2307 0.0136 39.34 2.51 15.7 g AFM
f68 732.8429 0.0047 1364.5489 0.0088 44.95 2.61 17.2 g AFM
f85 3269.8990 0.0056 305.8198 0.0005 32.85 2.29 14.3 p AFM
f90 4318.7076 0.0067 231.5508 0.0004 30.30 2.52 12.0 p AFM

Orbitial information

f3 20.3085 0.0014 49240.4255 3.4977 438.78 7.81 56.2 AFM
f8 40.6194 0.0022 24618.7763 1.3508 272.22 7.49 36.4 AFM

Combination frequencies

f48 346.2998 0.0042 2887.6715 0.0354 59.60 3.12 19.1 AFM
f89 4320.7351 0.0068 231.4421 0.0004 30.48 2.56 11.9 AFM

Notes. Column 1 gives the identification ID in order of decreasing amplitude); Cols. 2 and 3 give the frequencies in μHz and errors; Cols. 4 and 5 give the periods in seconds and errors; Cols. 6 and 7 show the amplitudes in ppm (parts per million) and errors; Col. 8 gives the signal-to-noise ratio (S/N) level; Cols. 9 and 10 show the quantum number identified by the asymptotic regime and rotation (see Sect. 2.3 and Appendix C); Col. 11 gives the preliminary classification of modes (see Sect. 2.2); and Col. 12 comments on whether amplitude or frequency modulations were measured or not. The AM/FM/AFM labels indicate whether the frequency has modulations of amplitude (AM), frequency (FM), or both (AFM) and ‘S’ stands for stable. ( * ) in and m means they are identified by period spacing or the Échelle diagram (see details in Appendix C).

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