Characteristics of the high-frequency humps in the black hole X-ray binary Swift J1727.8–1613

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Volume 707 (March 2026)

A&A, 707 (2026) A33

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Table A.1.

Best-fitting parameters of the type-C QPO, L_l and L_h observed in the PDS of Swift J1727.8–1613.

Group ID	Energy (keV)	Type-C QPO			L_l			L_h
		f₀ (Hz)	FWHM (Hz)	norm (×10⁻²)	f₀ (Hz)	FWHM (Hz)	norm (×10⁻²)	f₀ (Hz)	FWHM (Hz)	norm (×10⁻²)

	2-4	0.480 ± 0.002	0.127 ± 0.006	2.39 ± 0.08	$7 . 2_{- 0.3}^{+ 0.4}$ $Mathematical equation: $ 7.2^{+0.4}_{-0.3} $$	$4 . 4_{- 1.1}^{+ 1.3}$ $Mathematical equation: $ 4.4^{+1.3}_{-1.1} $$	$0 . 10_{- 0.03}^{+ 0.04}$ $Mathematical equation: $ 0.10^{+0.04}_{-0.03} $$	–	–	–
	4-10	0.480 ± 0.002	0.122 ± 0.006	$3 . 21_{- 0.10}^{+ 0.11}$ $Mathematical equation: $ 3.21^{+0.11}_{-0.10} $$	$7 . 3_{- 0.4}^{+ 0.3}$ $Mathematical equation: $ 7.3^{+0.3}_{-0.4} $$	$5 . 2_{- 1.5}^{+ 1.4}$ $Mathematical equation: $ 5.2^{+1.4}_{-1.5} $$	$0 . 20_{- 0.08}^{+ 0.10}$ $Mathematical equation: $ 0.20^{+0.10}_{-0.08} $$	$0 . 3_{- 0.3}^{+ 2.0}$ $Mathematical equation: $ 0.3^{+2.0}_{-0.3} $$	$16 . 1_{- 1.2}^{+ 2.1}$ $Mathematical equation: $ 16.1^{+2.1}_{-1.2} $$	$1 . 30_{- 0.20}^{+ 0.12}$ $Mathematical equation: $ 1.30^{+0.12}_{-0.20} $$
	10-14	$0 . 513_{- 0.004}^{+ 0.003}$ $Mathematical equation: $ 0.513^{+0.003}_{-0.004} $$	$0 . 064_{- 0.010}^{+ 0.008}$ $Mathematical equation: $ 0.064^{+0.008}_{-0.010} $$	3.2 ± 0.3	$7 . 7_{- 0.5}^{+ 0.4}$ $Mathematical equation: $ 7.7^{+0.4}_{-0.5} $$	13.4 ± 1.2	0.93 ± 0.06	$35_{- 3}^{+ 2}$ $Mathematical equation: $ 35^{+2}_{-3} $$	$13_{- 5}^{+ 7}$ $Mathematical equation: $ 13^{+7}_{-5} $$	0.10 ± 0.04
group1	14-23	0.512 ± 0.003	$0 . 063_{- 0.006}^{+ 0.009}$ $Mathematical equation: $ 0.063^{+0.009}_{-0.006} $$	3.4 ± 0.2	$8 . 9_{- 0.5}^{+ 0.6}$ $Mathematical equation: $ 8.9^{+0.6}_{-0.5} $$	$13_{- 2}^{+ 3}$ $Mathematical equation: $ 13^{+3}_{-2} $$	$0 . 66_{- 0.09}^{+ 0.11}$ $Mathematical equation: $ 0.66^{+0.11}_{-0.09} $$	$45_{- 14}^{+ 11}$ $Mathematical equation: $ 45^{+11}_{-14} $$	$60_{- 16}^{+ 25}$ $Mathematical equation: $ 60^{+25}_{-16} $$	$0 . 22_{- 0.06}^{+ 0.07}$ $Mathematical equation: $ 0.22^{+0.07}_{-0.06} $$
	23-35	$0 . 510_{- 0.004}^{+ 0.003}$ $Mathematical equation: $ 0.510^{+0.003}_{-0.004} $$	$0 . 055_{- 0.009}^{+ 0.010}$ $Mathematical equation: $ 0.055^{+0.010}_{-0.009} $$	$4 . 1_{- 0.2}^{+ 0.3}$ $Mathematical equation: $ 4.1^{+0.3}_{-0.2} $$	$5 . 4_{- 1.9}^{+ 1.2}$ $Mathematical equation: $ 5.4^{+1.2}_{-1.9} $$	22 ± 2	$1 . 16_{- 0.08}^{+ 0.20}$ $Mathematical equation: $ 1.16^{+0.20}_{-0.08} $$	$46_{- 8}^{+ 7}$ $Mathematical equation: $ 46^{+7}_{-8} $$	77 ± 12	$0 . 45_{- 0.09}^{+ 0.10}$ $Mathematical equation: $ 0.45^{+0.10}_{-0.09} $$
	35-50	0.511 ± 0.004	0.056 ± 0.010	$4 . 6_{- 0.4}^{+ 0.3}$ $Mathematical equation: $ 4.6^{+0.3}_{-0.4} $$	< 0.8	$23_{- 3}^{+ 2}$ $Mathematical equation: $ 23^{+2}_{-3} $$	$2 . 31_{- 0.13}^{+ 0.06}$ $Mathematical equation: $ 2.31^{+0.06}_{-0.13} $$	$56_{- 14}^{+ 7}$ $Mathematical equation: $ 56^{+7}_{-14} $$	$90_{- 7}^{+ 18}$ $Mathematical equation: $ 90^{+18}_{-7} $$	$0 . 52_{- 0.08}^{+ 0.14}$ $Mathematical equation: $ 0.52^{+0.14}_{-0.08} $$
	50-100	$0 . 503_{- 0.010}^{+ 0.007}$ $Mathematical equation: $ 0.503^{+0.007}_{-0.010} $$	$0 . 063_{- 0.018}^{+ 0.014}$ $Mathematical equation: $ 0.063^{+0.014}_{-0.018} $$	4.6 ± 1.1	< 4	21 ± 2	$3 . 8_{- 0.5}^{+ 0.4}$ $Mathematical equation: $ 3.8^{+0.4}_{-0.5} $$	$42_{- 11}^{+ 16}$ $Mathematical equation: $ 42^{+16}_{-11} $$	$126_{- 18}^{+ 16}$ $Mathematical equation: $ 126^{+16}_{-18} $$	$1 . 4_{- 0.3}^{+ 0.4}$ $Mathematical equation: $ 1.4^{+0.4}_{-0.3} $$

	2-4	0.702 ± 0.002	0.083 ± 0.004	1.74 ± 0.05	$8 . 9_{- 0.3}^{+ 0.4}$ $Mathematical equation: $ 8.9^{+0.4}_{-0.3} $$	$9 . 8_{- 1.2}^{+ 1.3}$ $Mathematical equation: $ 9.8^{+1.3}_{-1.2} $$	$0 . 22_{- 0.03}^{+ 0.06}$ $Mathematical equation: $ 0.22^{+0.06}_{-0.03} $$	$55_{- 6}^{+ 2}$ $Mathematical equation: $ 55^{+2}_{-6} $$	$10_{- 6}^{+ 8}$ $Mathematical equation: $ 10^{+8}_{-6} $$	$0 . 026_{- 0.011}^{+ 0.015}$ $Mathematical equation: $ 0.026^{+0.015}_{-0.011} $$
	4-10	0.701 ± 0.002	$0 . 090_{- 0.006}^{+ 0.005}$ $Mathematical equation: $ 0.090^{+0.005}_{-0.006} $$	$2 . 79_{- 0.12}^{+ 0.11}$ $Mathematical equation: $ 2.79^{+0.11}_{-0.12} $$	$9 . 0_{- 0.2}^{+ 0.3}$ $Mathematical equation: $ 9.0^{+0.3}_{-0.2} $$	$11 . 8_{- 0.7}^{+ 1.1}$ $Mathematical equation: $ 11.8^{+1.1}_{-0.7} $$	$0 . 62_{- 0.04}^{+ 0.08}$ $Mathematical equation: $ 0.62^{+0.08}_{-0.04} $$	$41_{- 4}^{+ 3}$ $Mathematical equation: $ 41^{+3}_{-4} $$	41 ± 9	0.20 ± 0.03
	10-14	$0 . 7038_{- 0.0014}^{+ 0.0013}$ $Mathematical equation: $ 0.7038^{+0.0013}_{-0.0014} $$	$0 . 089_{- 0.004}^{+ 0.003}$ $Mathematical equation: $ 0.089^{+0.003}_{-0.004} $$	$2 . 84_{- 0.08}^{+ 0.07}$ $Mathematical equation: $ 2.84^{+0.07}_{-0.08} $$	$10 . 7_{- 0.2}^{+ 0.4}$ $Mathematical equation: $ 10.7^{+0.4}_{-0.2} $$	$6 . 3_{- 1.4}^{+ 2.7}$ $Mathematical equation: $ 6.3^{+2.7}_{-1.4} $$	0.22 ± 0.11	$17_{- 5}^{+ 4}$ $Mathematical equation: $ 17^{+4}_{-5} $$	23 ± 5	$0 . 41_{- 0.13}^{+ 0.18}$ $Mathematical equation: $ 0.41^{+0.18}_{-0.13} $$
group2	14-23	$0 . 7033_{- 0.0014}^{+ 0.0013}$ $Mathematical equation: $ 0.7033^{+0.0013}_{-0.0014} $$	$0 . 089_{- 0.004}^{+ 0.003}$ $Mathematical equation: $ 0.089^{+0.003}_{-0.004} $$	$3 . 10_{- 0.08}^{+ 0.07}$ $Mathematical equation: $ 3.10^{+0.07}_{-0.08} $$	$10 . 5_{- 0.6}^{+ 0.5}$ $Mathematical equation: $ 10.5^{+0.5}_{-0.6} $$	$10 . 3_{- 1.0}^{+ 2.7}$ $Mathematical equation: $ 10.3^{+2.7}_{-1.0} $$	$0 . 39_{- 0.07}^{+ 0.09}$ $Mathematical equation: $ 0.39^{+0.09}_{-0.07} $$	$29_{- 2}^{+ 3}$ $Mathematical equation: $ 29^{+3}_{-2} $$	$33_{- 10}^{+ 12}$ $Mathematical equation: $ 33^{+12}_{-10} $$	$0 . 30_{- 0.08}^{+ 0.07}$ $Mathematical equation: $ 0.30^{+0.07}_{-0.08} $$
	23-35	0.704 ± 0.002	$0 . 090_{- 0.005}^{+ 0.002}$ $Mathematical equation: $ 0.090^{+0.002}_{-0.005} $$	$4 . 07_{- 0.14}^{+ 0.13}$ $Mathematical equation: $ 4.07^{+0.13}_{-0.14} $$	$9 . 7_{- 0.8}^{+ 1.2}$ $Mathematical equation: $ 9.7^{+1.2}_{-0.8} $$	22 ± 3	1.0 ± 0.2	$51_{- 10}^{+ 8}$ $Mathematical equation: $ 51^{+8}_{-10} $$	$89_{- 12}^{+ 10}$ $Mathematical equation: $ 89^{+10}_{-12} $$	$0 . 58_{- 0.05}^{+ 0.11}$ $Mathematical equation: $ 0.58^{+0.11}_{-0.05} $$
	35-50	0.705 ± 0.002	0.086 ± 0.005	4.3 ± 0.2	$6_{- 4}^{+ 3}$ $Mathematical equation: $ 6^{+3}_{-4} $$	$24_{- 5}^{+ 4}$ $Mathematical equation: $ 24^{+4}_{-5} $$	$1 . 9_{- 0.6}^{+ 0.5}$ $Mathematical equation: $ 1.9^{+0.5}_{-0.6} $$	50 ± 20	$109_{- 13}^{+ 14}$ $Mathematical equation: $ 109^{+14}_{-13} $$	$0 . 9_{- 0.3}^{+ 0.4}$ $Mathematical equation: $ 0.9^{+0.4}_{-0.3} $$
	50-100	0.704 ± 0.002	0.088 ± 0.005	4.5 ± 0.2	9 ± 2	16 ± 5	$2 . 0_{- 1.0}^{+ 1.2}$ $Mathematical equation: $ 2.0^{+1.2}_{-1.0} $$	$12_{- 12}^{+ 19}$ $Mathematical equation: $ 12^{+19}_{-12} $$	$89_{- 16}^{+ 19}$ $Mathematical equation: $ 89^{+19}_{-16} $$	$2 . 8_{- 0.8}^{+ 0.7}$ $Mathematical equation: $ 2.8^{+0.7}_{-0.8} $$

	2-4	0.862 ± 0.002	$0 . 125_{- 0.005}^{+ 0.006}$ $Mathematical equation: $ 0.125^{+0.006}_{-0.005} $$	1.77 ± 0.05	$10 . 2_{- 0.4}^{+ 0.3}$ $Mathematical equation: $ 10.2^{+0.3}_{-0.4} $$	$6 . 7_{- 1.3}^{+ 0.9}$ $Mathematical equation: $ 6.7^{+0.9}_{-1.3} $$	$0 . 104_{- 0.024}^{+ 0.014}$ $Mathematical equation: $ 0.104^{+0.014}_{-0.024} $$	$26_{- 9}^{+ 6}$ $Mathematical equation: $ 26^{+6}_{-9} $$	$38_{- 11}^{+ 12}$ $Mathematical equation: $ 38^{+12}_{-11} $$	$0 . 09_{- 0.02}^{+ 0.03}$ $Mathematical equation: $ 0.09^{+0.03}_{-0.02} $$
	4-10	0.863 ± 0.002	0.122 ± 0.005	$2 . 67_{- 0.08}^{+ 0.06}$ $Mathematical equation: $ 2.67^{+0.06}_{-0.08} $$	10.6 ± 0.2	$9 . 6_{- 1.1}^{+ 0.9}$ $Mathematical equation: $ 9.6^{+0.9}_{-1.1} $$	$0 . 35_{- 0.04}^{+ 0.05}$ $Mathematical equation: $ 0.35^{+0.05}_{-0.04} $$	$30_{- 2}^{+ 3}$ $Mathematical equation: $ 30^{+3}_{-2} $$	$42_{- 4}^{+ 8}$ $Mathematical equation: $ 42^{+8}_{-4} $$	0.22 ± 0.03
	10-14	$0 . 8595_{- 0.0010}^{+ 0.0018}$ $Mathematical equation: $ 0.8595^{+0.0018}_{-0.0010} $$	0.125 ± 0.005	$3 . 02_{- 0.10}^{+ 0.09}$ $Mathematical equation: $ 3.02^{+0.09}_{-0.10} $$	$11 . 3_{- 1.2}^{+ 0.9}$ $Mathematical equation: $ 11.3^{+0.9}_{-1.2} $$	$20_{- 2}^{+ 3}$ $Mathematical equation: $ 20^{+3}_{-2} $$	$0 . 65_{- 0.05}^{+ 0.06}$ $Mathematical equation: $ 0.65^{+0.06}_{-0.05} $$	–	–	–
group3	14-23	0.861 ± 0.002	0.122 ± 0.005	$3 . 25_{- 0.10}^{+ 0.09}$ $Mathematical equation: $ 3.25^{+0.09}_{-0.10} $$	$14 . 5_{- 0.7}^{+ 0.6}$ $Mathematical equation: $ 14.5^{+0.6}_{-0.7} $$	$14_{- 2}^{+ 3}$ $Mathematical equation: $ 14^{+3}_{-2} $$	$0 . 41_{- 0.05}^{+ 0.03}$ $Mathematical equation: $ 0.41^{+0.03}_{-0.05} $$	$47_{- 2}^{+ 3}$ $Mathematical equation: $ 47^{+3}_{-2} $$	$24_{- 7}^{+ 10}$ $Mathematical equation: $ 24^{+10}_{-7} $$	$0 . 21_{- 0.05}^{+ 0.06}$ $Mathematical equation: $ 0.21^{+0.06}_{-0.05} $$
	23-35	0.853 ± 0.002	0.129 ± 0.006	$4 . 02_{- 0.14}^{+ 0.13}$ $Mathematical equation: $ 4.02^{+0.13}_{-0.14} $$	11 ± 2	$24_{- 5}^{+ 4}$ $Mathematical equation: $ 24^{+4}_{-5} $$	0.9 ± 0.2	$50_{- 13}^{+ 10}$ $Mathematical equation: $ 50^{+10}_{-13} $$	$84_{- 14}^{+ 7}$ $Mathematical equation: $ 84^{+7}_{-14} $$	$0 . 58_{- 0.08}^{+ 0.17}$ $Mathematical equation: $ 0.58^{+0.17}_{-0.08} $$
	35-50	$0 . 846_{- 0.009}^{+ 0.010}$ $Mathematical equation: $ 0.846^{+0.010}_{-0.009} $$	$0 . 086_{- 0.018}^{+ 0.015}$ $Mathematical equation: $ 0.086^{+0.015}_{-0.018} $$	$4 . 0_{- 1.2}^{+ 0.8}$ $Mathematical equation: $ 4.0^{+0.8}_{-1.2} $$	$10 . 4_{- 2.8}^{+ 1.1}$ $Mathematical equation: $ 10.4^{+1.1}_{-2.8} $$	$21_{- 5}^{+ 6}$ $Mathematical equation: $ 21^{+6}_{-5} $$	$0 . 9_{- 0.3}^{+ 0.4}$ $Mathematical equation: $ 0.9^{+0.4}_{-0.3} $$	$27_{- 11}^{+ 6}$ $Mathematical equation: $ 27^{+6}_{-11} $$	$78_{- 8}^{+ 11}$ $Mathematical equation: $ 78^{+11}_{-8} $$	$1 . 1_{- 0.3}^{+ 0.4}$ $Mathematical equation: $ 1.1^{+0.4}_{-0.3} $$
	50-100	$0 . 851_{- 0.003}^{+ 0.002}$ $Mathematical equation: $ 0.851^{+0.002}_{-0.003} $$	0.135 ± 0.006	$4 . 52_{- 0.15}^{+ 0.14}$ $Mathematical equation: $ 4.52^{+0.14}_{-0.15} $$	$8 . 9_{- 1.7}^{+ 0.9}$ $Mathematical equation: $ 8.9^{+0.9}_{-1.7} $$	$18_{- 8}^{+ 5}$ $Mathematical equation: $ 18^{+5}_{-8} $$	$1 . 8_{- 1.2}^{+ 0.7}$ $Mathematical equation: $ 1.8^{+0.7}_{-1.2} $$	$17_{- 17}^{+ 14}$ $Mathematical equation: $ 17^{+14}_{-17} $$	$83_{- 10}^{+ 13}$ $Mathematical equation: $ 83^{+13}_{-10} $$	$2 . 5_{- 0.8}^{+ 1.3}$ $Mathematical equation: $ 2.5^{+1.3}_{-0.8} $$

	2-4	1.117 ± 0.002	0.158 ± 0.005	$1 . 75_{- 0.04}^{+ 0.02}$ $Mathematical equation: $ 1.75^{+0.02}_{-0.04} $$	12.7 ± 0.4	$5 . 3_{- 1.3}^{+ 1.6}$ $Mathematical equation: $ 5.3^{+1.6}_{-1.3} $$	$0 . 048_{- 0.013}^{+ 0.016}$ $Mathematical equation: $ 0.048^{+0.016}_{-0.013} $$	$19_{- 14}^{+ 8}$ $Mathematical equation: $ 19^{+8}_{-14} $$	$51_{- 14}^{+ 21}$ $Mathematical equation: $ 51^{+21}_{-14} $$	0.11 ± 0.03
	4-10	1.116 ± 0.002	$0 . 152_{- 0.004}^{+ 0.005}$ $Mathematical equation: $ 0.152^{+0.005}_{-0.004} $$	$2 . 77_{- 0.05}^{+ 0.06}$ $Mathematical equation: $ 2.77^{+0.06}_{-0.05} $$	$11 . 1_{- 1.0}^{+ 0.7}$ $Mathematical equation: $ 11.1^{+0.7}_{-1.0} $$	$17 . 8_{- 1.0}^{+ 2.6}$ $Mathematical equation: $ 17.8^{+2.6}_{-1.0} $$	0.45 ± 0.05	$40_{- 4}^{+ 5}$ $Mathematical equation: $ 40^{+5}_{-4} $$	$45_{- 11}^{+ 14}$ $Mathematical equation: $ 45^{+14}_{-11} $$	0.13 ± 0.04
	10-14	1.1177 ± 0.0015	$0 . 143_{- 0.003}^{+ 0.004}$ $Mathematical equation: $ 0.143^{+0.004}_{-0.003} $$	2.98 ± 0.05	15.9 ± 0.7	$13_{- 3}^{+ 2}$ $Mathematical equation: $ 13^{+2}_{-3} $$	0.27 ± 0.04	$47_{- 3}^{+ 4}$ $Mathematical equation: $ 47^{+4}_{-3} $$	$21_{- 7}^{+ 6}$ $Mathematical equation: $ 21^{+6}_{-7} $$	$0 . 11_{- 0.02}^{+ 0.04}$ $Mathematical equation: $ 0.11^{+0.04}_{-0.02} $$
group4	14-23	$1 . 1170_{- 0.0015}^{+ 0.0014}$ $Mathematical equation: $ 1.1170^{+0.0014}_{-0.0015} $$	$0 . 144_{- 0.002}^{+ 0.004}$ $Mathematical equation: $ 0.144^{+0.004}_{-0.002} $$	$3 . 26_{- 0.06}^{+ 0.07}$ $Mathematical equation: $ 3.26^{+0.07}_{-0.06} $$	19.4 ± 1.0	22 ± 3	$0 . 45_{- 0.05}^{+ 0.04}$ $Mathematical equation: $ 0.45^{+0.04}_{-0.05} $$	$59 . 0_{- 1.0}^{+ 0.7}$ $Mathematical equation: $ 59.0^{+0.7}_{-1.0} $$	$3_{- 3}^{+ 4}$ $Mathematical equation: $ 3^{+4}_{-3} $$	$0 . 034_{- 0.014}^{+ 0.020}$ $Mathematical equation: $ 0.034^{+0.020}_{-0.014} $$
	23-35	1.116 ± 0.002	0.140 ± 0.005	$3 . 86_{- 0.08}^{+ 0.09}$ $Mathematical equation: $ 3.86^{+0.09}_{-0.08} $$	12 ± 2	31 ± 4	$0 . 96_{- 0.17}^{+ 0.12}$ $Mathematical equation: $ 0.96^{+0.12}_{-0.17} $$	$70_{- 9}^{+ 8}$ $Mathematical equation: $ 70^{+8}_{-9} $$	$98_{- 12}^{+ 14}$ $Mathematical equation: $ 98^{+14}_{-12} $$	$0 . 54_{- 0.09}^{+ 0.10}$ $Mathematical equation: $ 0.54^{+0.10}_{-0.09} $$
	35-50	1.115 ± 0.002	$0 . 146_{- 0.006}^{+ 0.008}$ $Mathematical equation: $ 0.146^{+0.008}_{-0.006} $$	$4 . 16_{- 0.11}^{+ 0.16}$ $Mathematical equation: $ 4.16^{+0.16}_{-0.11} $$	$13_{- 3}^{+ 2}$ $Mathematical equation: $ 13^{+2}_{-3} $$	$26_{- 6}^{+ 5}$ $Mathematical equation: $ 26^{+5}_{-6} $$	$1 . 2_{- 0.4}^{+ 0.5}$ $Mathematical equation: $ 1.2^{+0.5}_{-0.4} $$	$56_{- 11}^{+ 10}$ $Mathematical equation: $ 56^{+10}_{-11} $$	95 ± 11	1.0 ± 0.2
	50-100	1.117 ± 0.002	0.143 ± 0.006	$4 . 09_{- 0.12}^{+ 0.11}$ $Mathematical equation: $ 4.09^{+0.11}_{-0.12} $$	$9_{- 4}^{+ 3}$ $Mathematical equation: $ 9^{+3}_{-4} $$	25 ± 5	$3 . 0_{- 1.0}^{+ 0.9}$ $Mathematical equation: $ 3.0^{+0.9}_{-1.0} $$	46 ± 14	$101_{- 13}^{+ 14}$ $Mathematical equation: $ 101^{+14}_{-13} $$	1.8 ± 0.5

	2-4	$1 . 206_{- 0.003}^{+ 0.002}$ $Mathematical equation: $ 1.206^{+0.002}_{-0.003} $$	0.138 ± 0.007	$1 . 38_{- 0.05}^{+ 0.04}$ $Mathematical equation: $ 1.38^{+0.04}_{-0.05} $$	$14 . 2_{- 1.3}^{+ 0.7}$ $Mathematical equation: $ 14.2^{+0.7}_{-1.3} $$	15 ± 3	$0 . 143_{- 0.011}^{+ 0.032}$ $Mathematical equation: $ 0.143^{+0.032}_{-0.011} $$	–	–	–
	4-10	1.207 ± 0.002	$0 . 143_{- 0.006}^{+ 0.007}$ $Mathematical equation: $ 0.143^{+0.007}_{-0.006} $$	$2 . 30_{- 0.06}^{+ 0.07}$ $Mathematical equation: $ 2.30^{+0.07}_{-0.06} $$	14.2 ± 0.6	$6_{- 2}^{+ 4}$ $Mathematical equation: $ 6^{+4}_{-2} $$	$0 . 07_{- 0.03}^{+ 0.04}$ $Mathematical equation: $ 0.07^{+0.04}_{-0.03} $$	< 12	$50_{- 30}^{+ 20}$ $Mathematical equation: $ 50^{+20}_{-30} $$	$0 . 54_{- 0.09}^{+ 0.10}$ $Mathematical equation: $ 0.54^{+0.10}_{-0.09} $$
	10-14	1.217 ± 0.002	$0 . 135_{- 0.008}^{+ 0.007}$ $Mathematical equation: $ 0.135^{+0.007}_{-0.008} $$	$2 . 57_{- 0.13}^{+ 0.11}$ $Mathematical equation: $ 2.57^{+0.11}_{-0.13} $$	$15_{- 4}^{+ 3}$ $Mathematical equation: $ 15^{+3}_{-4} $$	$37_{- 6}^{+ 7}$ $Mathematical equation: $ 37^{+7}_{-6} $$	$0 . 70_{- 0.08}^{+ 0.09}$ $Mathematical equation: $ 0.70^{+0.09}_{-0.08} $$	–	–	–
group5	14-23	1.220 ± 0.002	0.143 ± 0.006	$2 . 95_{- 0.08}^{+ 0.07}$ $Mathematical equation: $ 2.95^{+0.07}_{-0.08} $$	15 ± 2	$25_{- 4}^{+ 5}$ $Mathematical equation: $ 25^{+5}_{-4} $$	$0 . 51_{- 0.07}^{+ 0.08}$ $Mathematical equation: $ 0.51^{+0.08}_{-0.07} $$	–	–	–
	23-35	1.218 ± 0.002	0.139 ± 0.007	3.45 ± 0.11	$10_{- 8}^{+ 4}$ $Mathematical equation: $ 10^{+4}_{-8} $$	$40_{- 10}^{+ 11}$ $Mathematical equation: $ 40^{+11}_{-10} $$	1.2 ± 0.3	$75_{- 16}^{+ 14}$ $Mathematical equation: $ 75^{+14}_{-16} $$	$60_{- 40}^{+ 20}$ $Mathematical equation: $ 60^{+20}_{-40} $$	0.3 ± 0.2
	35-50	1.218 ± 0.002	$0 . 136_{- 0.006}^{+ 0.007}$ $Mathematical equation: $ 0.136^{+0.007}_{-0.006} $$	3.56 ± 0.12	$12_{- 7}^{+ 4}$ $Mathematical equation: $ 12^{+4}_{-7} $$	29 ± 7	$1 . 4_{- 0.8}^{+ 0.7}$ $Mathematical equation: $ 1.4^{+0.7}_{-0.8} $$	60 ± 20	110 ± 20	$0 . 8_{- 0.3}^{+ 0.4}$ $Mathematical equation: $ 0.8^{+0.4}_{-0.3} $$
	50-100	$1 . 219_{- 0.003}^{+ 0.002}$ $Mathematical equation: $ 1.219^{+0.002}_{-0.003} $$	$0 . 154_{- 0.007}^{+ 0.008}$ $Mathematical equation: $ 0.154^{+0.008}_{-0.007} $$	3.96 ± 0.12	$10_{- 7}^{+ 3}$ $Mathematical equation: $ 10^{+3}_{-7} $$	$25_{- 15}^{+ 11}$ $Mathematical equation: $ 25^{+11}_{-15} $$	< 4	$40_{- 30}^{+ 20}$ $Mathematical equation: $ 40^{+20}_{-30} $$	90 ± 20	$1 . 7_{- 0.9}^{+ 1.6}$ $Mathematical equation: $ 1.7^{+1.6}_{-0.9} $$

	2-4	1.105 ± 0.002	$0 . 152_{- 0.003}^{+ 0.006}$ $Mathematical equation: $ 0.152^{+0.006}_{-0.003} $$	1.45 ± 0.04	14.0 ± 0.6	7 ± 2	0.058 ± 0.015	39 ± 6	$32_{- 6}^{+ 17}$ $Mathematical equation: $ 32^{+17}_{-6} $$	0.06 ± 0.02
	4-10	1.105 ± 0.002	0.137 ± 0.005	2.22 ± 0.05	$13 . 5_{- 0.5}^{+ 0.4}$ $Mathematical equation: $ 13.5^{+0.4}_{-0.5} $$	9 ± 2	0.18 ± 0.04	$32_{- 6}^{+ 4}$ $Mathematical equation: $ 32^{+4}_{-6} $$	$45_{- 9}^{+ 11}$ $Mathematical equation: $ 45^{+11}_{-9} $$	$0 . 23_{- 0.04}^{+ 0.05}$ $Mathematical equation: $ 0.23^{+0.05}_{-0.04} $$
	10-14	$1 . 1081_{- 0.0019}^{+ 0.0010}$ $Mathematical equation: $ 1.1081^{+0.0010}_{-0.0019} $$	0.139 ± 0.006	2.38 ± 0.07	$16 . 5_{- 1.7}^{+ 1.4}$ $Mathematical equation: $ 16.5^{+1.4}_{-1.7} $$	$24_{- 3}^{+ 4}$ $Mathematical equation: $ 24^{+4}_{-3} $$	$0 . 61_{- 0.07}^{+ 0.09}$ $Mathematical equation: $ 0.61^{+0.09}_{-0.07} $$	–	–	–
group6	14-23	1.106 ± 0.002	$0 . 135_{- 0.005}^{+ 0.003}$ $Mathematical equation: $ 0.135^{+0.003}_{-0.005} $$	2.56 ± 0.06	$18_{- 3}^{+ 2}$ $Mathematical equation: $ 18^{+2}_{-3} $$	$23_{- 5}^{+ 7}$ $Mathematical equation: $ 23^{+7}_{-5} $$	$0 . 39_{- 0.07}^{+ 0.09}$ $Mathematical equation: $ 0.39^{+0.09}_{-0.07} $$	–	–	–
	23-35	1.100 ± 0.002	0.143 ± 0.006	$3 . 33_{- 0.09}^{+ 0.08}$ $Mathematical equation: $ 3.33^{+0.08}_{-0.09} $$	$15 . 8_{- 1.5}^{+ 1.0}$ $Mathematical equation: $ 15.8^{+1.0}_{-1.5} $$	$30_{- 6}^{+ 5}$ $Mathematical equation: $ 30^{+5}_{-6} $$	0.8 ± 0.2	$68_{- 17}^{+ 7}$ $Mathematical equation: $ 68^{+7}_{-17} $$	70 ± 20	$0 . 43_{- 0.12}^{+ 0.17}$ $Mathematical equation: $ 0.43^{+0.17}_{-0.12} $$
	35-50	1.100 ± 0.002	0.129 ± 0.006	$3 . 24_{- 0.05}^{+ 0.08}$ $Mathematical equation: $ 3.24^{+0.08}_{-0.05} $$	$12_{- 4}^{+ 2}$ $Mathematical equation: $ 12^{+2}_{-4} $$	28 ± 6	1.4 ± 0.4	$68_{- 14}^{+ 9}$ $Mathematical equation: $ 68^{+9}_{-14} $$	80 ± 20	0.6 ± 0.2
	50-100	1.102 ± 0.002	0.129 ± 0.007	3.27 ± 0.12	$8_{- 6}^{+ 4}$ $Mathematical equation: $ 8^{+4}_{-6} $$	$30_{- 5}^{+ 4}$ $Mathematical equation: $ 30^{+4}_{-5} $$	$3 . 3_{- 0.9}^{+ 0.8}$ $Mathematical equation: $ 3.3^{+0.8}_{-0.9} $$	$60_{- 13}^{+ 11}$ $Mathematical equation: $ 60^{+11}_{-13} $$	80 ± 20	1.0 ± 0.4

	2-4	1.337 ± 0.003	0.216 ± 0.008	1.34 ± 0.03	$14_{- 8}^{+ 3}$ $Mathematical equation: $ 14^{+3}_{-8} $$	$26_{- 9}^{+ 11}$ $Mathematical equation: $ 26^{+11}_{-9} $$	$0 . 12_{- 0.04}^{+ 0.05}$ $Mathematical equation: $ 0.12^{+0.05}_{-0.04} $$	–	–	–
	4-10	1.335 ± 0.003	0.209 ± 0.008	2.12 ± 0.06	$14 . 0_{- 2.2}^{+ 1.5}$ $Mathematical equation: $ 14.0^{+1.5}_{-2.2} $$	20 ± 5	$0 . 30_{- 0.09}^{+ 0.10}$ $Mathematical equation: $ 0.30^{+0.10}_{-0.09} $$	$52_{- 14}^{+ 13}$ $Mathematical equation: $ 52^{+13}_{-14} $$	$90_{- 30}^{+ 20}$ $Mathematical equation: $ 90^{+20}_{-30} $$	$0 . 23_{- 0.07}^{+ 0.11}$ $Mathematical equation: $ 0.23^{+0.11}_{-0.07} $$
	10-14	1.340 ± 0.002	0.200 ± 0.005	2.43 ± 0.04	$17 . 7_{- 1.7}^{+ 1.3}$ $Mathematical equation: $ 17.7^{+1.3}_{-1.7} $$	$16_{- 5}^{+ 8}$ $Mathematical equation: $ 16^{+8}_{-5} $$	$0 . 26_{- 0.05}^{+ 0.11}$ $Mathematical equation: $ 0.26^{+0.11}_{-0.05} $$	$42_{- 3}^{+ 6}$ $Mathematical equation: $ 42^{+6}_{-3} $$	$33_{- 10}^{+ 12}$ $Mathematical equation: $ 33^{+12}_{-10} $$	$0 . 22_{- 0.08}^{+ 0.09}$ $Mathematical equation: $ 0.22^{+0.09}_{-0.08} $$
group7	14-23	$1 . 317_{- 0.006}^{+ 0.007}$ $Mathematical equation: $ 1.317^{+0.007}_{-0.006} $$	0.12 ± 0.02	2.3 ± 0.3	$21_{- 4}^{+ 3}$ $Mathematical equation: $ 21^{+3}_{-4} $$	$32_{- 8}^{+ 11}$ $Mathematical equation: $ 32^{+11}_{-8} $$	$0 . 39_{- 0.07}^{+ 0.08}$ $Mathematical equation: $ 0.39^{+0.08}_{-0.07} $$	–	–	–
	23-35	1.331 ± 0.002	0.206 ± 0.006	3.09 ± 0.06	$17 . 2_{- 1.4}^{+ 1.0}$ $Mathematical equation: $ 17.2^{+1.0}_{-1.4} $$	$22_{- 5}^{+ 6}$ $Mathematical equation: $ 22^{+6}_{-5} $$	$0 . 48_{- 0.11}^{+ 0.13}$ $Mathematical equation: $ 0.48^{+0.13}_{-0.11} $$	$59_{- 9}^{+ 8}$ $Mathematical equation: $ 59^{+8}_{-9} $$	$89_{- 12}^{+ 13}$ $Mathematical equation: $ 89^{+13}_{-12} $$	0.71 ± 0.11
	35-50	1.330 ± 0.002	$0 . 205_{- 0.006}^{+ 0.007}$ $Mathematical equation: $ 0.205^{+0.007}_{-0.006} $$	3.32 ± 0.07	< 8	$49_{- 3}^{+ 4}$ $Mathematical equation: $ 49^{+4}_{-3} $$	1.9 ± 0.2	–	–	–
	50-100	1.331 ± 0.003	0.208 ± 0.008	3.38 ± 0.09	$13 . 4_{- 1.0}^{+ 0.8}$ $Mathematical equation: $ 13.4^{+0.8}_{-1.0} $$	$15_{- 5}^{+ 6}$ $Mathematical equation: $ 15^{+6}_{-5} $$	$1 . 1_{- 0.5}^{+ 0.6}$ $Mathematical equation: $ 1.1^{+0.6}_{-0.5} $$	< 36	100 ± 20	2.5 ± 0.6

Notes. The errors presented in the table represent a 1σ confidence interval.

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