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Table C.1

Results of the timing analysis presented in Sect. 4.2, for each MSP and dataset.

Pulsar Dataset Wrms (μs) R χr2$\chi^2_r$ Ef log10 Eq log10 ARN γRN log10 ADM γDM
J0125-2327 IFA + FDM 0.61 1.81 2.21 1.220.010.01$1.22_{0.01}^{0.01}$ 6.420.010.01$-6.42_{0.01}^{0.01}$ 13.160.130.10$-13.16_{0.13}^{0.10}$ 2.910.480.62$2.91_{0.48}^{0.62}$ 13.040.060.06$-13.04_{0.06}^{0.06}$ 2.060.200.24$2.06_{0.20}^{0.24}$
METM + FDM 0.51 1.50 1.58 1.160.010.01$1.16_{0.01}^{0.01}$ 6.700.030.02$-6.70_{0.03}^{0.02}$ 14.573.200.86$-14.57_{3.20}^{0.86}$ 3.121.372.20$3.12_{1.37}^{2.20}$ 13.330.060.07$-13.33_{0.06}^{0.07}$ 1.280.150.17$1.28_{0.15}^{0.17}$
IFA + MTM 0.36 1.06 1.49 1.190.010.01$1.19_{0.01}^{0.01}$ 7.270.250.10$-7.27_{0.25}^{0.10}$ 14.680.540.48$-14.68_{0.54}^{0.48}$ 5.021.411.33$5.02_{1.41}^{1.33}$ 13.470.050.06$-13.47_{0.05}^{0.06}$ 1.820.170.18$1.82_{0.17}^{0.18}$
METM + MTM 0.34 1.00 1.31 1.110.010.01$1.11_{0.01}^{0.01}$ 7.210.110.07$-7.21_{0.11}^{0.07}$ 14.700.510.48$-14.70_{0.51}^{0.48}$ 5.051.421.29$5.05_{1.42}^{1.29}$ 13.470.050.06$-13.47_{0.05}^{0.06}$ 1.770.160.17$1.77_{0.16}^{0.17}$
J0613-0200 IFA + FDM 1.00 1.09 1.23 1.030.020.02$1.03_{0.02}^{0.02}$ 6.670.480.12$-6.67_{0.48}^{0.12}$ 15.552.751.29$-15.55_{2.75}^{1.29}$ 4.052.252.00$4.05_{2.25}^{2.00}$ 13.780.400.20$-13.78_{0.40}^{0.20}$ 2.720.660.97$2.72_{0.66}^{0.97}$
METM + FDM 1.00 1.09 1.20 1.040.020.01$1.04_{0.02}^{0.01}$ 7.301.140.55$-7.30_{1.14}^{0.55}$ 16.942.092.09$-16.94_{2.09}^{2.09}$ 3.262.152.42$3.26_{2.15}^{2.42}$ 13.630.220.14$-13.63_{0.22}^{0.14}$ 2.430.490.68$2.43_{0.49}^{0.68}$
IFA + MTM 0.95 1.04 1.40 1.110.020.02$1.11_{0.02}^{0.02}$ 6.710.430.12$-6.71_{0.43}^{0.12}$ 15.592.821.45$-15.59_{2.82}^{1.45}$ 3.782.112.10$3.78_{2.11}^{2.10}$ 13.840.420.21$-13.84_{0.42}^{0.21}$ 2.960.780.99$2.96_{0.78}^{0.99}$
METM + MTM 0.92 1.00 1.22 1.050.010.01$1.05_{0.01}^{0.01}$ 7.530.990.66$-7.53_{0.99}^{0.66}$ 16.822.171.98$-16.82_{2.17}^{1.98}$ 3.302.192.40$3.30_{2.19}^{2.40}$ 13.730.260.17$-13.73_{0.26}^{0.17}$ 2.690.600.82$2.69_{0.60}^{0.82}$
J1022+1001 IFA + FDM 1.72 2.68 3.80 1.210.030.03$1.21_{0.03}^{0.03}$ 5.780.010.01$-5.78_{0.01}^{0.01}$ 13.110.260.18$-13.11_{0.26}^{0.18}$ 2.690.600.80$2.69_{0.60}^{0.80}$ 12.860.080.08$-12.86_{0.08}^{0.08}$ 0.360.230.28$0.36_{0.23}^{0.28}$
METM + FDM 1.25 1.94 2.55 1.190.020.02$1.19_{0.02}^{0.02}$ 5.980.020.02$-5.98_{0.02}^{0.02}$ 14.552.831.43$-14.55_{2.83}^{1.43}$ 2.821.932.83$2.82_{1.93}^{2.83}$ 12.860.070.07$-12.86_{0.07}^{0.07}$ 0.300.200.22$0.30_{0.20}^{0.22}$
IFA + MTM 0.67 1.05 2.80 1.260.020.03$1.26_{0.02}^{0.03}$ 6.210.020.02$-6.21_{0.02}^{0.02}$ 14.330.910.86$-14.33_{0.91}^{0.86}$ 4.392.061.83$4.39_{2.06}^{1.83}$ 13.090.060.06$-13.09_{0.06}^{0.06}$ 0.210.140.20$0.21_{0.14}^{0.20}$
METM + MTM 0.64 1.00 2.33 1.170.020.02$1.17_{0.02}^{0.02}$ 6.250.020.02$-6.25_{0.02}^{0.02}$ 14.570.750.82$-14.57_{0.75}^{0.82}$ 4.861.871.48$4.86_{1.87}^{1.48}$ 13.100.050.06$-13.10_{0.05}^{0.06}$ 0.200.130.20$0.20_{0.13}^{0.20}$
J1024-0719 IFA + FDM 1.82 1.60 1.28 1.090.010.01$1.09_{0.01}^{0.01}$ 6.681.030.17$-6.68_{1.03}^{0.17}$ 13.620.320.21$-13.62_{0.32}^{0.21}$ 2.610.841.05$2.61_{0.84}^{1.05}$ 16.912.072.20$-16.91_{2.07}^{2.20}$ 3.122.032.41$3.12_{2.03}^{2.41}$
METM + FDM 1.49 1.31 1.28 1.090.010.01$1.09_{0.01}^{0.01}$ 7.291.150.58$-7.29_{1.15}^{0.58}$ 13.600.250.17$-13.60_{0.25}^{0.17}$ 2.910.730.94$2.91_{0.73}^{0.94}$ 16.742.232.25$-16.74_{2.23}^{2.25}$ 3.172.002.40$3.17_{2.00}^{2.40}$
IFA + MTM 1.24 1.09 1.18 1.050.010.01$1.05_{0.01}^{0.01}$ 8.070.630.66$-8.07_{0.63}^{0.66}$ 13.560.790.19$-13.56_{0.79}^{0.19}$ 2.690.811.16$2.69_{0.81}^{1.16}$ 15.812.842.22$-15.81_{2.84}^{2.22}$ 2.901.452.30$2.90_{1.45}^{2.30}$
METM + MTM 1.14 1.00 1.43 1.160.010.01$1.16_{0.01}^{0.01}$ 8.100.620.65$-8.10_{0.62}^{0.65}$ 13.640.770.17$-13.64_{0.77}^{0.17}$ 3.030.781.07$3.03_{0.78}^{1.07}$ 15.662.912.03$-15.66_{2.91}^{2.03}$ 3.071.472.24$3.07_{1.47}^{2.24}$
J1600-3053 IFA + FDM 0.56 1.24 1.75 1.140.020.02$1.14_{0.02}^{0.02}$ 6.560.030.03$-6.56_{0.03}^{0.03}$ 14.870.630.62$-14.87_{0.63}^{0.62}$ 5.111.291.23$5.11_{1.29}^{1.23}$ 13.010.040.04$-13.01_{0.04}^{0.04}$ 2.260.160.18$2.26_{0.16}^{0.18}$
METM + FDM 0.51 1.13 1.50 1.130.020.02$1.13_{0.02}^{0.02}$ 6.760.060.05$-6.76_{0.06}^{0.05}$ 16.812.171.96$-16.81_{2.17}^{1.96}$ 3.352.202.27$3.35_{2.20}^{2.27}$ 13.150.040.04$-13.15_{0.04}^{0.04}$ 2.100.140.15$2.10_{0.14}^{0.15}$
IFA + MTM 0.47 1.06 1.64 1.170.020.02$1.17_{0.02}^{0.02}$ 6.760.050.05$-6.76_{0.05}^{0.05}$ 14.391.530.53$-14.39_{1.53}^{0.53}$ 3.431.321.72$3.43_{1.32}^{1.72}$ 13.140.040.04$-13.14_{0.04}^{0.04}$ 2.180.140.15$2.18_{0.14}^{0.15}$
METM + MTM 0.45 1.00 1.55 1.150.020.02$1.15_{0.02}^{0.02}$ 6.820.060.05$-6.82_{0.06}^{0.05}$ 15.722.861.44$-15.72_{2.86}^{1.44}$ 3.491.992.08$3.49_{1.99}^{2.08}$ 13.150.040.04$-13.15_{0.04}^{0.04}$ 2.130.140.15$2.13_{0.14}^{0.15}$
J1643-1224 IFA + FDM 2.01 1.37 2.60 1.030.040.04$1.03_{0.04}^{0.04}$ 5.810.020.02$-5.81_{0.02}^{0.02}$ 12.940.920.23$-12.94_{0.92}^{0.23}$ 2.180.811.81$2.18_{0.81}^{1.81}$ 12.630.060.05$-12.63_{0.06}^{0.05}$ 1.650.190.21$1.65_{0.19}^{0.21}$
METM + FDM 1.65 1.12 1.83 1.100.030.03$1.10_{0.03}^{0.03}$ 6.040.040.03$-6.04_{0.04}^{0.03}$ 12.780.970.13$-12.78_{0.97}^{0.13}$ 1.450.680.96$1.45_{0.68}^{0.96}$ 12.610.050.05$-12.61_{0.05}^{0.05}$ 1.450.160.17$1.45_{0.16}^{0.17}$
IFA + MTM 1.55 1.05 1.87 1.150.040.04$1.15_{0.04}^{0.04}$ 6.120.050.04$-6.12_{0.05}^{0.04}$ 13.454.270.64$-13.45_{4.27}^{0.64}$ 1.981.032.49$1.98_{1.03}^{2.49}$ 12.620.050.05$-12.62_{0.05}^{0.05}$ 1.570.160.18$1.57_{0.16}^{0.18}$
METM + MTM 1.47 1.00 1.77 1.120.030.03$1.12_{0.03}^{0.03}$ 6.150.050.04$-6.15_{0.05}^{0.04}$ 12.962.670.21$-12.96_{2.67}^{0.21}$ 1.890.811.69$1.89_{0.81}^{1.69}$ 12.630.050.05$-12.63_{0.05}^{0.05}$ 1.560.170.18$1.56_{0.17}^{0.18}$
J1730-2304 IFA + FDM 1.56 1.71 2.07 1.210.030.03$1.21_{0.03}^{0.03}$ 6.100.040.03$-6.10_{0.04}^{0.03}$ 13.350.270.14$-13.35_{0.27}^{0.14}$ 1.880.520.72$1.88_{0.52}^{0.72}$ 16.702.242.61$-16.70_{2.24}^{2.61}$ 2.821.662.61$2.82_{1.66}^{2.61}$
METM + FDM 1.34 1.47 1.72 1.220.020.02$1.22_{0.02}^{0.02}$ 6.510.130.09$-6.51_{0.13}^{0.09}$ 17.111.952.15$-17.11_{1.95}^{2.15}$ 2.992.012.54$2.99_{2.01}^{2.54}$ 13.350.170.11$-13.35_{0.17}^{0.11}$ 1.710.460.70$1.71_{0.46}^{0.70}$
IFA + MTM 0.93 1.02 1.66 1.140.020.02$1.14_{0.02}^{0.02}$ 6.460.050.05$-6.46_{0.05}^{0.05}$ 17.181.922.05$-17.18_{1.92}^{2.05}$ 3.042.032.51$3.04_{2.03}^{2.51}$ 13.530.150.11$-13.53_{0.15}^{0.11}$ 2.530.500.64$2.53_{0.50}^{0.64}$
METM + MTM 0.91 1.00 1.67 1.120.020.02$1.12_{0.02}^{0.02}$ 6.410.040.04$-6.41_{0.04}^{0.04}$ 17.081.982.08$-17.08_{1.98}^{2.08}$ 3.031.992.51$3.03_{1.99}^{2.51}$ 13.550.180.12$-13.55_{0.18}^{0.12}$ 2.600.530.68$2.60_{0.53}^{0.68}$
J1744-1134 IFA + FDM 0.67 1.67 6.78 1.090.030.03$1.09_{0.03}^{0.03}$ 6.130.010.01$-6.13_{0.01}^{0.01}$ 16.442.422.23$-16.44_{2.42}^{2.23}$ 3.001.822.56$3.00_{1.82}^{2.56}$ 13.320.120.09$-13.32_{0.12}^{0.09}$ 2.350.370.47$2.35_{0.37}^{0.47}$
METM + FDM 0.31 0.77 2.04 1.130.020.02$1.13_{0.02}^{0.02}$ 6.640.020.02$-6.64_{0.02}^{0.02}$ 16.322.512.36$-16.32_{2.51}^{2.36}$ 2.801.782.53$2.80_{1.78}^{2.53}$ 13.290.040.05$-13.29_{0.04}^{0.05}$ 1.150.150.17$1.15_{0.15}^{0.17}$
IFA + MTM 0.44 1.10 1.42 1.100.020.02$1.10_{0.02}^{0.02}$ 6.890.090.07$-6.89_{0.09}^{0.07}$ 15.802.671.51$-15.80_{2.67}^{1.51}$ 3.592.292.23$3.59_{2.29}^{2.23}$ 13.420.060.06$-13.42_{0.06}^{0.06}$ 1.270.250.22$1.27_{0.25}^{0.22}$
METM + MTM 0.40 1.00 1.46 1.120.020.02$1.12_{0.02}^{0.02}$ 6.980.090.07$-6.98_{0.09}^{0.07}$ 15.262.741.07$-15.26_{2.74}^{1.07}$ 3.672.001.97$3.67_{2.00}^{1.97}$ 13.440.080.06$-13.44_{0.08}^{0.06}$ 1.180.330.24$1.18_{0.33}^{0.24}$
J1857+0943 IFA + FDM 1.26 1.21 2.07 1.210.030.03$1.21_{0.03}^{0.03}$ 6.280.050.05$-6.28_{0.05}^{0.05}$ 14.832.510.83$-14.83_{2.51}^{0.83}$ 4.431.881.62$4.43_{1.88}^{1.62}$ 14.251.780.45$-14.25_{1.78}^{0.45}$ 4.201.391.42$4.20_{1.39}^{1.42}$
METM + FDM 1.16 1.11 1.92 1.190.030.03$1.19_{0.03}^{0.03}$ 6.370.070.06$-6.37_{0.07}^{0.06}$ 16.872.162.11$-16.87_{2.16}^{2.11}$ 3.352.262.31$3.35_{2.26}^{2.31}$ 13.940.430.30$-13.94_{0.43}^{0.30}$ 3.900.971.23$3.90_{0.97}^{1.23}$
IFA + MTM 1.10 1.05 1.93 1.200.030.03$1.20_{0.03}^{0.03}$ 6.400.070.06$-6.40_{0.07}^{0.06}$ 17.191.921.98$-17.19_{1.92}^{1.98}$ 3.152.172.46$3.15_{2.17}^{2.46}$ 13.980.360.29$-13.98_{0.36}^{0.29}$ 4.080.921.12$4.08_{0.92}^{1.12}$
METM + MTM 1.04 1.00 1.89 1.160.030.03$1.16_{0.03}^{0.03}$ 6.370.060.05$-6.37_{0.06}^{0.05}$ 17.221.902.00$-17.22_{1.90}^{2.00}$ 3.162.162.44$3.16_{2.16}^{2.44}$ 13.960.340.27$-13.96_{0.34}^{0.27}$ 4.070.891.09$4.07_{0.89}^{1.09}$
J1909-3744 IFA + FDM 0.35 1.19 14.04 1.060.020.02$1.06_{0.02}^{0.02}$ 6.440.010.01$-6.44_{0.01}^{0.01}$ 13.940.540.21$-13.94_{0.54}^{0.21}$ 3.110.731.46$3.11_{0.73}^{1.46}$ 14.040.620.26$-14.04_{0.62}^{0.26}$ 3.560.721.47$3.56_{0.72}^{1.47}$
METM + FDM 0.29 1.00 12.17 1.060.020.02$1.06_{0.02}^{0.02}$ 6.530.010.01$-6.53_{0.01}^{0.01}$ 13.940.590.23$-13.94_{0.59}^{0.23}$ 2.960.711.61$2.96_{0.71}^{1.61}$ 13.880.520.15$-13.88_{0.52}^{0.15}$ 3.120.481.25$3.12_{0.48}^{1.25}$
IFA + MTM 0.34 1.16 17.10 1.130.020.02$1.13_{0.02}^{0.02}$ 6.460.010.01$-6.46_{0.01}^{0.01}$ 13.820.470.14$-13.82_{0.47}^{0.14}$ 2.700.551.23$2.70_{0.55}^{1.23}$ 14.130.660.34$-14.13_{0.66}^{0.34}$ 3.720.861.59$3.72_{0.86}^{1.59}$
METM + MTM 0.29 1.00 12.92 1.130.020.02$1.13_{0.02}^{0.02}$ 6.540.010.01$-6.54_{0.01}^{0.01}$ 13.880.620.19$-13.88_{0.62}^{0.19}$ 2.840.631.62$2.84_{0.63}^{1.62}$ 13.920.620.18$-13.92_{0.62}^{0.18}$ 3.200.561.47$3.20_{0.56}^{1.47}$
J2124-3358 IFA + FDM 3.12 1.16 1.48 1.170.010.01$1.17_{0.01}^{0.01}$ 7.481.040.95$-7.48_{1.04}^{0.95}$ 13.724.290.67$-13.72_{4.29}^{0.67}$ 0.990.783.57$0.99_{0.78}^{3.57}$ 14.920.671.21$-14.92_{0.67}^{1.21}$ 5.282.511.23$5.28_{2.51}^{1.23}$
METM + FDM 3.08 1.15 1.48 1.180.010.01$1.18_{0.01}^{0.01}$ 7.600.950.91$-7.60_{0.95}^{0.91}$ 13.193.040.20$-13.19_{3.04}^{0.20}$ 1.190.763.10$1.19_{0.76}^{3.10}$ 15.163.051.86$-15.16_{3.05}^{1.86}$ 2.831.672.62$2.83_{1.67}^{2.62}$
IFA + MTM 2.74 1.02 1.60 1.220.010.01$1.22_{0.01}^{0.01}$ 7.540.980.90$-7.54_{0.98}^{0.90}$ 13.643.710.56$-13.64_{3.71}^{0.56}$ 1.721.053.17$1.72_{1.05}^{3.17}$ 13.833.550.67$-13.83_{3.55}^{0.67}$ 1.910.912.98$1.91_{0.91}^{2.98}$
METM + MTM 2.69 1.00 1.51 1.190.010.01$1.19_{0.01}^{0.01}$ 7.730.860.88$-7.73_{0.86}^{0.88}$ 13.223.150.18$-13.22_{3.15}^{0.18}$ 1.290.812.80$1.29_{0.81}^{2.80}$ 14.763.311.53$-14.76_{3.31}^{1.53}$ 2.361.242.87$2.36_{1.24}^{2.87}$
J2145-0750 IFA + FDM 1.03 1.42 2.92 1.210.020.02$1.21_{0.02}^{0.02}$ 6.050.020.02$-6.05_{0.02}^{0.02}$ 13.474.010.31$-13.47_{4.01}^{0.31}$ 1.890.862.76$1.89_{0.86}^{2.76}$ 13.361.060.20$-13.36_{1.06}^{0.20}$ 2.490.712.39$2.49_{0.71}^{2.39}$
METM + FDM 0.77 1.06 1.80 1.250.020.02$1.25_{0.02}^{0.02}$ 6.590.050.05$-6.59_{0.05}^{0.05}$ 13.803.510.46$-13.80_{3.51}^{0.46}$ 1.740.962.39$1.74_{0.96}^{2.39}$ 13.340.120.09$-13.34_{0.12}^{0.09}$ 0.520.330.30$0.52_{0.33}^{0.30}$
IFA + MTM 0.76 1.04 2.09 1.380.020.02$1.38_{0.02}^{0.02}$ 6.780.100.07$-6.78_{0.10}^{0.07}$ 15.372.901.76$-15.37_{2.90}^{1.76}$ 2.511.712.74$2.51_{1.71}^{2.74}$ 13.410.090.08$-13.41_{0.09}^{0.08}$ 0.430.260.26$0.43_{0.26}^{0.26}$
METM + MTM 0.73 1.00 1.88 1.310.020.02$1.31_{0.02}^{0.02}$ 6.750.080.06$-6.75_{0.08}^{0.06}$ 14.082.130.58$-14.08_{2.13}^{0.58}$ 2.371.342.33$2.37_{1.34}^{2.33}$ 13.400.100.09$-13.40_{0.10}^{0.09}$ 0.430.260.28$0.43_{0.26}^{0.28}$

Notes. The first two columns list the pulsar names and dataset types. The following three columns give the weighted rms residual values (Wrms), the ratio of the weighted rms residual with that for the “METM + MEM” dataset (R), and the reduced χ2 of the timing residuals (χr2$\chi_r^2$). The other columns give the best-fit EFAC (Ef), EQUAD (Eq), red-noise amplitude (γRN), red-noise power-law spectral index (γRN), DM amplitude (ADM), and DM power-law spectral index (γDM) parameters. See Sect. 4.2 for details on the datasets and the analysis.

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