Table 1.

Observed values of longitudinal two-point (ξ), triplet probability excess (⁠|$\rm PE_3$|⁠), and three-point (ζ) correlations.

rξ|$\rm PE_3$|ζ
(in pMpc)(in km s−1)NH i > 1012.5 cm−2NH i > 1013.5 cm−2NH i > 1012.5 cm−2NH i > 1013.5 cm−2NH i > 1012.5 cm−2NH i > 1013.5 cm−2
0.5–136.3–72.6|$1.20^{+0.18}_{-0.16}$||$3.65^{+0.68}_{-0.60}$||$4.77^{+3.87}_{-2.47}$||$-1.00^{+32.11}_{-0.00}$||$0.72^{+3.89}_{-2.49}$||$-12.81^{+32.14}_{-1.28}$|
1–272.6–145.3|$1.65^{+0.13}_{-0.13}$||$4.50^{+0.49}_{-0.45}$||$8.76^{+1.96}_{-1.65}$||$44.33^{+19.34}_{-14.09}$||$4.76^{+1.98}_{-1.67}$||$34.18^{+19.36}_{-14.12}$|
2–4145.3–290.6|$0.70^{+0.07}_{-0.07}$||$1.14^{+0.22}_{-0.20}$||$1.98^{+0.54}_{-0.46}$||$7.76^{+4.32}_{-3.03}$||$0.41^{+0.56}_{-0.48}$||$4.88^{+4.34}_{-3.06}$|
4–8290.6–581.1|$0.18^{+0.04}_{-0.04}$||$0.59^{+0.13}_{-0.12}$||$0.37^{+0.18}_{-0.16}$||$2.66^{+1.32}_{-1.00}$||$0.01^{+0.20}_{-0.18}$||$1.31^{+1.35}_{-1.04}$|
8–16581.1–1162.2|$0.00^{+0.01}_{-0.01}$||$0.17^{+0.08}_{-0.08}$||$-0.17^{+0.10}_{-0.09}$||$1.13^{+0.46}_{-0.39}$||$-0.18^{+0.11}_{-0.10}$||$0.78^{+0.49}_{-0.42}$|
16–321162.2–2324.4|$0.01^{+0.01}_{-0.01}$||$0.01^{+0.05}_{-0.05}$||$0.02^{+0.02}_{-0.01}$||$0.01^{+0.15}_{-0.13}$||$-0.07^{+0.04}_{-0.03}$||$0.05^{+0.19}_{-0.17}$|
32–642324.4–4648.8|$0.07^{+0.03}_{-0.03}$||$-0.06^{+0.04}_{-0.04}$|
rξ|$\rm PE_3$|ζ
(in pMpc)(in km s−1)NH i > 1012.5 cm−2NH i > 1013.5 cm−2NH i > 1012.5 cm−2NH i > 1013.5 cm−2NH i > 1012.5 cm−2NH i > 1013.5 cm−2
0.5–136.3–72.6|$1.20^{+0.18}_{-0.16}$||$3.65^{+0.68}_{-0.60}$||$4.77^{+3.87}_{-2.47}$||$-1.00^{+32.11}_{-0.00}$||$0.72^{+3.89}_{-2.49}$||$-12.81^{+32.14}_{-1.28}$|
1–272.6–145.3|$1.65^{+0.13}_{-0.13}$||$4.50^{+0.49}_{-0.45}$||$8.76^{+1.96}_{-1.65}$||$44.33^{+19.34}_{-14.09}$||$4.76^{+1.98}_{-1.67}$||$34.18^{+19.36}_{-14.12}$|
2–4145.3–290.6|$0.70^{+0.07}_{-0.07}$||$1.14^{+0.22}_{-0.20}$||$1.98^{+0.54}_{-0.46}$||$7.76^{+4.32}_{-3.03}$||$0.41^{+0.56}_{-0.48}$||$4.88^{+4.34}_{-3.06}$|
4–8290.6–581.1|$0.18^{+0.04}_{-0.04}$||$0.59^{+0.13}_{-0.12}$||$0.37^{+0.18}_{-0.16}$||$2.66^{+1.32}_{-1.00}$||$0.01^{+0.20}_{-0.18}$||$1.31^{+1.35}_{-1.04}$|
8–16581.1–1162.2|$0.00^{+0.01}_{-0.01}$||$0.17^{+0.08}_{-0.08}$||$-0.17^{+0.10}_{-0.09}$||$1.13^{+0.46}_{-0.39}$||$-0.18^{+0.11}_{-0.10}$||$0.78^{+0.49}_{-0.42}$|
16–321162.2–2324.4|$0.01^{+0.01}_{-0.01}$||$0.01^{+0.05}_{-0.05}$||$0.02^{+0.02}_{-0.01}$||$0.01^{+0.15}_{-0.13}$||$-0.07^{+0.04}_{-0.03}$||$0.05^{+0.19}_{-0.17}$|
32–642324.4–4648.8|$0.07^{+0.03}_{-0.03}$||$-0.06^{+0.04}_{-0.04}$|
Table 1.

Observed values of longitudinal two-point (ξ), triplet probability excess (⁠|$\rm PE_3$|⁠), and three-point (ζ) correlations.

rξ|$\rm PE_3$|ζ
(in pMpc)(in km s−1)NH i > 1012.5 cm−2NH i > 1013.5 cm−2NH i > 1012.5 cm−2NH i > 1013.5 cm−2NH i > 1012.5 cm−2NH i > 1013.5 cm−2
0.5–136.3–72.6|$1.20^{+0.18}_{-0.16}$||$3.65^{+0.68}_{-0.60}$||$4.77^{+3.87}_{-2.47}$||$-1.00^{+32.11}_{-0.00}$||$0.72^{+3.89}_{-2.49}$||$-12.81^{+32.14}_{-1.28}$|
1–272.6–145.3|$1.65^{+0.13}_{-0.13}$||$4.50^{+0.49}_{-0.45}$||$8.76^{+1.96}_{-1.65}$||$44.33^{+19.34}_{-14.09}$||$4.76^{+1.98}_{-1.67}$||$34.18^{+19.36}_{-14.12}$|
2–4145.3–290.6|$0.70^{+0.07}_{-0.07}$||$1.14^{+0.22}_{-0.20}$||$1.98^{+0.54}_{-0.46}$||$7.76^{+4.32}_{-3.03}$||$0.41^{+0.56}_{-0.48}$||$4.88^{+4.34}_{-3.06}$|
4–8290.6–581.1|$0.18^{+0.04}_{-0.04}$||$0.59^{+0.13}_{-0.12}$||$0.37^{+0.18}_{-0.16}$||$2.66^{+1.32}_{-1.00}$||$0.01^{+0.20}_{-0.18}$||$1.31^{+1.35}_{-1.04}$|
8–16581.1–1162.2|$0.00^{+0.01}_{-0.01}$||$0.17^{+0.08}_{-0.08}$||$-0.17^{+0.10}_{-0.09}$||$1.13^{+0.46}_{-0.39}$||$-0.18^{+0.11}_{-0.10}$||$0.78^{+0.49}_{-0.42}$|
16–321162.2–2324.4|$0.01^{+0.01}_{-0.01}$||$0.01^{+0.05}_{-0.05}$||$0.02^{+0.02}_{-0.01}$||$0.01^{+0.15}_{-0.13}$||$-0.07^{+0.04}_{-0.03}$||$0.05^{+0.19}_{-0.17}$|
32–642324.4–4648.8|$0.07^{+0.03}_{-0.03}$||$-0.06^{+0.04}_{-0.04}$|
rξ|$\rm PE_3$|ζ
(in pMpc)(in km s−1)NH i > 1012.5 cm−2NH i > 1013.5 cm−2NH i > 1012.5 cm−2NH i > 1013.5 cm−2NH i > 1012.5 cm−2NH i > 1013.5 cm−2
0.5–136.3–72.6|$1.20^{+0.18}_{-0.16}$||$3.65^{+0.68}_{-0.60}$||$4.77^{+3.87}_{-2.47}$||$-1.00^{+32.11}_{-0.00}$||$0.72^{+3.89}_{-2.49}$||$-12.81^{+32.14}_{-1.28}$|
1–272.6–145.3|$1.65^{+0.13}_{-0.13}$||$4.50^{+0.49}_{-0.45}$||$8.76^{+1.96}_{-1.65}$||$44.33^{+19.34}_{-14.09}$||$4.76^{+1.98}_{-1.67}$||$34.18^{+19.36}_{-14.12}$|
2–4145.3–290.6|$0.70^{+0.07}_{-0.07}$||$1.14^{+0.22}_{-0.20}$||$1.98^{+0.54}_{-0.46}$||$7.76^{+4.32}_{-3.03}$||$0.41^{+0.56}_{-0.48}$||$4.88^{+4.34}_{-3.06}$|
4–8290.6–581.1|$0.18^{+0.04}_{-0.04}$||$0.59^{+0.13}_{-0.12}$||$0.37^{+0.18}_{-0.16}$||$2.66^{+1.32}_{-1.00}$||$0.01^{+0.20}_{-0.18}$||$1.31^{+1.35}_{-1.04}$|
8–16581.1–1162.2|$0.00^{+0.01}_{-0.01}$||$0.17^{+0.08}_{-0.08}$||$-0.17^{+0.10}_{-0.09}$||$1.13^{+0.46}_{-0.39}$||$-0.18^{+0.11}_{-0.10}$||$0.78^{+0.49}_{-0.42}$|
16–321162.2–2324.4|$0.01^{+0.01}_{-0.01}$||$0.01^{+0.05}_{-0.05}$||$0.02^{+0.02}_{-0.01}$||$0.01^{+0.15}_{-0.13}$||$-0.07^{+0.04}_{-0.03}$||$0.05^{+0.19}_{-0.17}$|
32–642324.4–4648.8|$0.07^{+0.03}_{-0.03}$||$-0.06^{+0.04}_{-0.04}$|
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