Relationship between the γ-ray variability and the parsec-scale jet in the blazar 3C 454.3

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Table 3.

Spearman rank correlation coefficients obtained between the component fluxes in the VLBA maps at 43 GHz and the simultaneous γ-ray fluxes.

ID	ρ	ρ²	p-value	ρ_z
Q0	0.52	0.27	2.4 × 10⁻⁹	$0 . 519_{- 0.012}^{+ 0.012}$ $0.519_{-0.012}^{+0.012}$
Q1	−0.33	0.11	0.27	$- 0 . 26_{- 0.091}^{+ 0.096}$ $-0.26_{-0.091}^{+0.096}$
Q2	0.10	0.01	0.70	$0 . 123_{- 0.057}^{+ 0.056}$ $0.123_{-0.057}^{+0.056}$
Q3	0.53	0.28	0.01	$0 . 510_{- 0.024}^{+ 0.024}$ $0.510_{-0.024}^{+0.024}$
Q4	−0.42	0.17	0.26	$- 0 . 483_{- 0.086}^{+ 0.096}$ $-0.483_{-0.086}^{+0.096}$
Q5	−0.54	0.29	0.27	$- 0 . 543_{- 0.053}^{+ 0.058}$ $-0.543_{-0.053}^{+0.058}$
Q6	−0.30	0.09	0.21	$- 0 . 306_{- 0.054}^{+ 0.056}$ $-0.306_{-0.054}^{+0.056}$
Q7	0.31	0.10	0.35	$0 . 264_{- 0.099}^{+ 0.094}$ $0.264_{-0.099}^{+0.094}$
Q8	0.05	0.00	0.90	$0 . 150_{- 0.178}^{+ 0.169}$ $0.150_{-0.178}^{+0.169}$
Q9	0.20	0.04	0.70	$0 . 200_{- 0.130}^{+ 0.124}$ $0.200_{-0.130}^{+0.124}$
Q10	0.45	0.20	0.14	$0 . 420_{- 0.108}^{+ 0.098}$ $0.420_{-0.108}^{+0.098}$
Q11	−0.61	0.37	0.15	$- 0 . 464_{- 0.138}^{+ 0.165}$ $-0.464_{-0.138}^{+0.165}$
Q12	−0.15	0.02	0.65	$- 0 . 098_{- 0.089}^{+ 0.091}$ $-0.098_{-0.089}^{+0.091}$
Q13	−0.50	0.25	0.39	$- 0 . 500_{- 0.178}^{+ 0.234}$ $-0.500_{-0.178}^{+0.234}$
Q14	−0.49	0.24	0.15	$- 0467_{- 0.086}^{+ 0.096}$ $-0467_{-0.086}^{+0.096}$
Q15	0.07	0.01	0.88	$0 . 107_{- 0.141}^{+ 0.137}$ $0.107_{-0.141}^{+0.137}$
Q16	−0.38	0.15	0.28	$- 0 . 297_{- 0.117}^{+ 0.127}$ $-0.297_{-0.117}^{+0.127}$
Q17	−0.32	0.10	0.48	$- 0 . 321_{- 0.097}^{+ 0.105}$ $-0.321_{-0.097}^{+0.105}$
Q18	0.50	0.25	0.67	$- 0 . 396_{- 0.083}^{+ 0.090}$ $-0.396_{-0.083}^{+0.090}$
Q19	0.30	0.09	0.62	$0 . 300_{- 0.054}^{+ 0.052}$ $0.300_{-0.054}^{+0.052}$
Q21	0.45	0.20	0.01	$0 . 444_{- 0.064}^{+ 0.060}$ $0.444_{-0.064}^{+0.060}$
Q22	0.52	0.27	0.29	$0 . 543_{- 0.270}^{+ 0.190}$ $0.543_{-0.270}^{+0.190}$
Q23	0.20	0.04	0.70	$0 . 200_{- 0.132}^{+ 0.125}$ $0.200_{-0.132}^{+0.125}$

Notes. Columns from left to right: (1) Component ID, (2) Spearman rank correlation coefficient, (3) correlation coefficient squared, (4) p-value (Q0 corresponds to the easternmost component identified as the 43 GHz core), (5) correlation coefficient calculated using the z-transform, ρ_z, and errors. Q21 is the quasi-stationary component identified between 2016 and 2020. The gray shaded lines indicate components with a p-value of less than 5%.

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