Table 1.

The fitting results of our sample with smooth broken power-law model.

GRBT|$_{90}$|T|$_{\rm start}$|T|$_{\rm end}$||$t_{\rm p}$||$\alpha _1$||$\alpha _2$|zReferences|$^{\rm a}$|
Name(s)(s)(s)(s)
Early bump
051016B4.032013 500|$776_{-263}^{+703}$||$0.80 _{-0.05}^{+0.07}$||$-1.86_{-0.31}^{+0.25}$|0.9364(1)
0602067.0120012 900|$3981_{-818}^{+1030}$||$1.26_{-0.04}^{+0.04}$||$-2.15_{0.82}^{-1.15}$|4.048(2)
07020848.018014 000|$954_{-63}^{+45}$||$1.52 _{-0.30}^{+0.21}$||$-1.85_{-0.05}^{+0.01}$|1.165(3)
090429B5.512016 800|$588_{-121}^{+262}$||$1.20 _{-0.12}^{+0.15}$||$-1.36_{-1.21}^{+0.28}$|9.4(4)
09102939.252518 900|$1548_{-1202}^{+2524}$||$0.49 _{-0.06}^{+0.09}$||$-1.71_{-0.15}^{+0.20}$|2.752(5)
120118B23.332011 000|$1659_{-247}^{+290}$||$1.01_{0.10}^{0.12}$||$-1.21_{-0.39}^{+0.16}$|2.943(6)
120213A48.962012 000|$3096_{-336} ^{+298}$||$2.41_{-0.32}^{+0.36}$||$-1.19_{-0.34}^{+0.14}$|
120224A8.122019 000|$1071_{-220}^{+227}$||$0.78_{-0.06}^{+0.08}$||$-1.16_{-0.34}^{+0.12}$|
121209A42.71007000|$707_{-76}^{+104}$||$1.23_{-0.06}^{+0.06}$||$-1.17_{-0.33}^{+0.13}$|
140515A23.458014 800|$2691 _{-179}^{+470}$||$1.03_{-0.06}^{+0.08}$||$-2.90_{-0.61}^{+0.79}$|6.32(7)
150911A7.228024 800|$1479_{-330}^{+811}$||$1.29 _{-0.27}^{+0.64}$||$-1.49_{-1.05}^{+1.38}$|
161129A35.5310025 000|$1412 _{-153}^{+172}$||$2.02 _{-0.22}^{+0.22}$||$-1.07_{-0.18}^{+0.05}$|0.645(8)
170202A46.230059 300|$933_{-138}^{+163}$||$0.91 _{-0.04}^{+0.03}$||$-1.31_{-0.35}^{+0.21}$|3.645(9)
170822A64.050019 300|$2344_{-156}^{+167}$||$1.72 _{-0.11}^{+0.10}$||$-1.14_{-0.28}^{+0.10}$|
181110A138.440036 300|$1659_{-247}^{+290}$||$1.72_{-0.10}^{+0.13}$||$-1.52_{-0.89}^{+0.39}$|1.505(10)
190829A58.250056 300|$1380 _{-31}^{+65}$||$1.14 ^{-0.02}_{+0.02}$||$-2.93_{-0.32}^{+0.31}$|0.078(11)
200917A19.4100036 300|$2754_{-355}^{+793}$||$1.17_{-0.17}^{+0.20}$||$-2.55_{-0.97}^{+1.07}$|
201128A5.411507300|$457_{-131}^{+58}$||$0.80_{-0.07}^{+0.15}$||$-1.80_{-0.27}^{+1.02}$|
220117A49.835013 200|$1380_{-121}^{+133}$||$1.55 _{-0.08}^{+0.09}$||$-1.31_{-0.35}^{+0.21}$|4.961(12)
Late bump
071010A6.035 000533 200|$52480^{+7775}_{-51433}$||$1.54_{-0.41}^{+0.32}$||$-2.16_{-1.11}^{+2.16}$|0.98(13)
081028260.09800233 200|$22387 _{-1007}^{+1055}$||$1.83_{-0.08}^{+0.08}$||$-1.73_{-0.29}^{+0.25}$|3.038(14)
100901A439.0968033 320|$23442_{-1564}^{+1104}$||$1.35_{-0.07}^{+0.05}$||$-1.12_{-0.23}^{+0.09}$|1.408(15)
120215A26.5516053 200|$10964_{-1632}^{+2217}$||$1.07_{-0.17}^{+0.24}$||$-2.11_{-1.07}^{+0.71}$|
120326A69.69560330 200|$35481_{-12039}^{+1672}$||$1.53_{-0.19}^{+0.11}$||$-1.11_{-1.00}^{+0.08}$|1.798(16)
130807A37.73260100 200|$10471_{-2153}^{+2117}$||$1.21_{-0.22}^{+0.27}$||$-1.64_{-1.06}^{+0.44}$|
131018A73.24350100 000|$7413_{-1387}^{+1707}$||$0.65_{-0.11}^{+0.12}$||$-1.88_{-1.43}^{+0.71}$|
150626B48.0509060 000|$20892_{-1394}^{+1494}$||$2.18 _{-0.17}^{+0.17}$||$-1.32_{-0.43}^{+0.22}$|
230414B25.9649069 500|$21379_{-2758}^{+3167}$||$1.73 _{-0.13}^{+0.15}$||$-1.27_{-0.03}^{+0.34}$|3.568(17)
GRBT|$_{90}$|T|$_{\rm start}$|T|$_{\rm end}$||$t_{\rm p}$||$\alpha _1$||$\alpha _2$|zReferences|$^{\rm a}$|
Name(s)(s)(s)(s)
Early bump
051016B4.032013 500|$776_{-263}^{+703}$||$0.80 _{-0.05}^{+0.07}$||$-1.86_{-0.31}^{+0.25}$|0.9364(1)
0602067.0120012 900|$3981_{-818}^{+1030}$||$1.26_{-0.04}^{+0.04}$||$-2.15_{0.82}^{-1.15}$|4.048(2)
07020848.018014 000|$954_{-63}^{+45}$||$1.52 _{-0.30}^{+0.21}$||$-1.85_{-0.05}^{+0.01}$|1.165(3)
090429B5.512016 800|$588_{-121}^{+262}$||$1.20 _{-0.12}^{+0.15}$||$-1.36_{-1.21}^{+0.28}$|9.4(4)
09102939.252518 900|$1548_{-1202}^{+2524}$||$0.49 _{-0.06}^{+0.09}$||$-1.71_{-0.15}^{+0.20}$|2.752(5)
120118B23.332011 000|$1659_{-247}^{+290}$||$1.01_{0.10}^{0.12}$||$-1.21_{-0.39}^{+0.16}$|2.943(6)
120213A48.962012 000|$3096_{-336} ^{+298}$||$2.41_{-0.32}^{+0.36}$||$-1.19_{-0.34}^{+0.14}$|
120224A8.122019 000|$1071_{-220}^{+227}$||$0.78_{-0.06}^{+0.08}$||$-1.16_{-0.34}^{+0.12}$|
121209A42.71007000|$707_{-76}^{+104}$||$1.23_{-0.06}^{+0.06}$||$-1.17_{-0.33}^{+0.13}$|
140515A23.458014 800|$2691 _{-179}^{+470}$||$1.03_{-0.06}^{+0.08}$||$-2.90_{-0.61}^{+0.79}$|6.32(7)
150911A7.228024 800|$1479_{-330}^{+811}$||$1.29 _{-0.27}^{+0.64}$||$-1.49_{-1.05}^{+1.38}$|
161129A35.5310025 000|$1412 _{-153}^{+172}$||$2.02 _{-0.22}^{+0.22}$||$-1.07_{-0.18}^{+0.05}$|0.645(8)
170202A46.230059 300|$933_{-138}^{+163}$||$0.91 _{-0.04}^{+0.03}$||$-1.31_{-0.35}^{+0.21}$|3.645(9)
170822A64.050019 300|$2344_{-156}^{+167}$||$1.72 _{-0.11}^{+0.10}$||$-1.14_{-0.28}^{+0.10}$|
181110A138.440036 300|$1659_{-247}^{+290}$||$1.72_{-0.10}^{+0.13}$||$-1.52_{-0.89}^{+0.39}$|1.505(10)
190829A58.250056 300|$1380 _{-31}^{+65}$||$1.14 ^{-0.02}_{+0.02}$||$-2.93_{-0.32}^{+0.31}$|0.078(11)
200917A19.4100036 300|$2754_{-355}^{+793}$||$1.17_{-0.17}^{+0.20}$||$-2.55_{-0.97}^{+1.07}$|
201128A5.411507300|$457_{-131}^{+58}$||$0.80_{-0.07}^{+0.15}$||$-1.80_{-0.27}^{+1.02}$|
220117A49.835013 200|$1380_{-121}^{+133}$||$1.55 _{-0.08}^{+0.09}$||$-1.31_{-0.35}^{+0.21}$|4.961(12)
Late bump
071010A6.035 000533 200|$52480^{+7775}_{-51433}$||$1.54_{-0.41}^{+0.32}$||$-2.16_{-1.11}^{+2.16}$|0.98(13)
081028260.09800233 200|$22387 _{-1007}^{+1055}$||$1.83_{-0.08}^{+0.08}$||$-1.73_{-0.29}^{+0.25}$|3.038(14)
100901A439.0968033 320|$23442_{-1564}^{+1104}$||$1.35_{-0.07}^{+0.05}$||$-1.12_{-0.23}^{+0.09}$|1.408(15)
120215A26.5516053 200|$10964_{-1632}^{+2217}$||$1.07_{-0.17}^{+0.24}$||$-2.11_{-1.07}^{+0.71}$|
120326A69.69560330 200|$35481_{-12039}^{+1672}$||$1.53_{-0.19}^{+0.11}$||$-1.11_{-1.00}^{+0.08}$|1.798(16)
130807A37.73260100 200|$10471_{-2153}^{+2117}$||$1.21_{-0.22}^{+0.27}$||$-1.64_{-1.06}^{+0.44}$|
131018A73.24350100 000|$7413_{-1387}^{+1707}$||$0.65_{-0.11}^{+0.12}$||$-1.88_{-1.43}^{+0.71}$|
150626B48.0509060 000|$20892_{-1394}^{+1494}$||$2.18 _{-0.17}^{+0.17}$||$-1.32_{-0.43}^{+0.22}$|
230414B25.9649069 500|$21379_{-2758}^{+3167}$||$1.73 _{-0.13}^{+0.15}$||$-1.27_{-0.03}^{+0.34}$|3.568(17)

Note.|$^{\rm a}$| The references of redshift for our sample. (1) Soderberg, Berger & Ofek (2005); (2) Fynbo et al. (2006); (3) Cucchiara et al. (2007); (4) Cucchiara et al. (2011); (5) Chornock, Perley & Cobb (2009); (6) Malesani et al. (2013); (7) Chornock, Fox & Berger (2014); (8) Cano et al. (2016); (9) Palmerio et al. (2017); (10) Perley et al. (2018); (11) Lipunov et al. (2019); (12) Palmerio et al. (2022); (13) Prochaska et al. (2007); (14) Berger et al. (2008); (15) Chornock et al. (2010); (16) Tello et al. (2012); (17) Agui Fernandez et al. (2023).

Table 1.

The fitting results of our sample with smooth broken power-law model.

GRBT|$_{90}$|T|$_{\rm start}$|T|$_{\rm end}$||$t_{\rm p}$||$\alpha _1$||$\alpha _2$|zReferences|$^{\rm a}$|
Name(s)(s)(s)(s)
Early bump
051016B4.032013 500|$776_{-263}^{+703}$||$0.80 _{-0.05}^{+0.07}$||$-1.86_{-0.31}^{+0.25}$|0.9364(1)
0602067.0120012 900|$3981_{-818}^{+1030}$||$1.26_{-0.04}^{+0.04}$||$-2.15_{0.82}^{-1.15}$|4.048(2)
07020848.018014 000|$954_{-63}^{+45}$||$1.52 _{-0.30}^{+0.21}$||$-1.85_{-0.05}^{+0.01}$|1.165(3)
090429B5.512016 800|$588_{-121}^{+262}$||$1.20 _{-0.12}^{+0.15}$||$-1.36_{-1.21}^{+0.28}$|9.4(4)
09102939.252518 900|$1548_{-1202}^{+2524}$||$0.49 _{-0.06}^{+0.09}$||$-1.71_{-0.15}^{+0.20}$|2.752(5)
120118B23.332011 000|$1659_{-247}^{+290}$||$1.01_{0.10}^{0.12}$||$-1.21_{-0.39}^{+0.16}$|2.943(6)
120213A48.962012 000|$3096_{-336} ^{+298}$||$2.41_{-0.32}^{+0.36}$||$-1.19_{-0.34}^{+0.14}$|
120224A8.122019 000|$1071_{-220}^{+227}$||$0.78_{-0.06}^{+0.08}$||$-1.16_{-0.34}^{+0.12}$|
121209A42.71007000|$707_{-76}^{+104}$||$1.23_{-0.06}^{+0.06}$||$-1.17_{-0.33}^{+0.13}$|
140515A23.458014 800|$2691 _{-179}^{+470}$||$1.03_{-0.06}^{+0.08}$||$-2.90_{-0.61}^{+0.79}$|6.32(7)
150911A7.228024 800|$1479_{-330}^{+811}$||$1.29 _{-0.27}^{+0.64}$||$-1.49_{-1.05}^{+1.38}$|
161129A35.5310025 000|$1412 _{-153}^{+172}$||$2.02 _{-0.22}^{+0.22}$||$-1.07_{-0.18}^{+0.05}$|0.645(8)
170202A46.230059 300|$933_{-138}^{+163}$||$0.91 _{-0.04}^{+0.03}$||$-1.31_{-0.35}^{+0.21}$|3.645(9)
170822A64.050019 300|$2344_{-156}^{+167}$||$1.72 _{-0.11}^{+0.10}$||$-1.14_{-0.28}^{+0.10}$|
181110A138.440036 300|$1659_{-247}^{+290}$||$1.72_{-0.10}^{+0.13}$||$-1.52_{-0.89}^{+0.39}$|1.505(10)
190829A58.250056 300|$1380 _{-31}^{+65}$||$1.14 ^{-0.02}_{+0.02}$||$-2.93_{-0.32}^{+0.31}$|0.078(11)
200917A19.4100036 300|$2754_{-355}^{+793}$||$1.17_{-0.17}^{+0.20}$||$-2.55_{-0.97}^{+1.07}$|
201128A5.411507300|$457_{-131}^{+58}$||$0.80_{-0.07}^{+0.15}$||$-1.80_{-0.27}^{+1.02}$|
220117A49.835013 200|$1380_{-121}^{+133}$||$1.55 _{-0.08}^{+0.09}$||$-1.31_{-0.35}^{+0.21}$|4.961(12)
Late bump
071010A6.035 000533 200|$52480^{+7775}_{-51433}$||$1.54_{-0.41}^{+0.32}$||$-2.16_{-1.11}^{+2.16}$|0.98(13)
081028260.09800233 200|$22387 _{-1007}^{+1055}$||$1.83_{-0.08}^{+0.08}$||$-1.73_{-0.29}^{+0.25}$|3.038(14)
100901A439.0968033 320|$23442_{-1564}^{+1104}$||$1.35_{-0.07}^{+0.05}$||$-1.12_{-0.23}^{+0.09}$|1.408(15)
120215A26.5516053 200|$10964_{-1632}^{+2217}$||$1.07_{-0.17}^{+0.24}$||$-2.11_{-1.07}^{+0.71}$|
120326A69.69560330 200|$35481_{-12039}^{+1672}$||$1.53_{-0.19}^{+0.11}$||$-1.11_{-1.00}^{+0.08}$|1.798(16)
130807A37.73260100 200|$10471_{-2153}^{+2117}$||$1.21_{-0.22}^{+0.27}$||$-1.64_{-1.06}^{+0.44}$|
131018A73.24350100 000|$7413_{-1387}^{+1707}$||$0.65_{-0.11}^{+0.12}$||$-1.88_{-1.43}^{+0.71}$|
150626B48.0509060 000|$20892_{-1394}^{+1494}$||$2.18 _{-0.17}^{+0.17}$||$-1.32_{-0.43}^{+0.22}$|
230414B25.9649069 500|$21379_{-2758}^{+3167}$||$1.73 _{-0.13}^{+0.15}$||$-1.27_{-0.03}^{+0.34}$|3.568(17)
GRBT|$_{90}$|T|$_{\rm start}$|T|$_{\rm end}$||$t_{\rm p}$||$\alpha _1$||$\alpha _2$|zReferences|$^{\rm a}$|
Name(s)(s)(s)(s)
Early bump
051016B4.032013 500|$776_{-263}^{+703}$||$0.80 _{-0.05}^{+0.07}$||$-1.86_{-0.31}^{+0.25}$|0.9364(1)
0602067.0120012 900|$3981_{-818}^{+1030}$||$1.26_{-0.04}^{+0.04}$||$-2.15_{0.82}^{-1.15}$|4.048(2)
07020848.018014 000|$954_{-63}^{+45}$||$1.52 _{-0.30}^{+0.21}$||$-1.85_{-0.05}^{+0.01}$|1.165(3)
090429B5.512016 800|$588_{-121}^{+262}$||$1.20 _{-0.12}^{+0.15}$||$-1.36_{-1.21}^{+0.28}$|9.4(4)
09102939.252518 900|$1548_{-1202}^{+2524}$||$0.49 _{-0.06}^{+0.09}$||$-1.71_{-0.15}^{+0.20}$|2.752(5)
120118B23.332011 000|$1659_{-247}^{+290}$||$1.01_{0.10}^{0.12}$||$-1.21_{-0.39}^{+0.16}$|2.943(6)
120213A48.962012 000|$3096_{-336} ^{+298}$||$2.41_{-0.32}^{+0.36}$||$-1.19_{-0.34}^{+0.14}$|
120224A8.122019 000|$1071_{-220}^{+227}$||$0.78_{-0.06}^{+0.08}$||$-1.16_{-0.34}^{+0.12}$|
121209A42.71007000|$707_{-76}^{+104}$||$1.23_{-0.06}^{+0.06}$||$-1.17_{-0.33}^{+0.13}$|
140515A23.458014 800|$2691 _{-179}^{+470}$||$1.03_{-0.06}^{+0.08}$||$-2.90_{-0.61}^{+0.79}$|6.32(7)
150911A7.228024 800|$1479_{-330}^{+811}$||$1.29 _{-0.27}^{+0.64}$||$-1.49_{-1.05}^{+1.38}$|
161129A35.5310025 000|$1412 _{-153}^{+172}$||$2.02 _{-0.22}^{+0.22}$||$-1.07_{-0.18}^{+0.05}$|0.645(8)
170202A46.230059 300|$933_{-138}^{+163}$||$0.91 _{-0.04}^{+0.03}$||$-1.31_{-0.35}^{+0.21}$|3.645(9)
170822A64.050019 300|$2344_{-156}^{+167}$||$1.72 _{-0.11}^{+0.10}$||$-1.14_{-0.28}^{+0.10}$|
181110A138.440036 300|$1659_{-247}^{+290}$||$1.72_{-0.10}^{+0.13}$||$-1.52_{-0.89}^{+0.39}$|1.505(10)
190829A58.250056 300|$1380 _{-31}^{+65}$||$1.14 ^{-0.02}_{+0.02}$||$-2.93_{-0.32}^{+0.31}$|0.078(11)
200917A19.4100036 300|$2754_{-355}^{+793}$||$1.17_{-0.17}^{+0.20}$||$-2.55_{-0.97}^{+1.07}$|
201128A5.411507300|$457_{-131}^{+58}$||$0.80_{-0.07}^{+0.15}$||$-1.80_{-0.27}^{+1.02}$|
220117A49.835013 200|$1380_{-121}^{+133}$||$1.55 _{-0.08}^{+0.09}$||$-1.31_{-0.35}^{+0.21}$|4.961(12)
Late bump
071010A6.035 000533 200|$52480^{+7775}_{-51433}$||$1.54_{-0.41}^{+0.32}$||$-2.16_{-1.11}^{+2.16}$|0.98(13)
081028260.09800233 200|$22387 _{-1007}^{+1055}$||$1.83_{-0.08}^{+0.08}$||$-1.73_{-0.29}^{+0.25}$|3.038(14)
100901A439.0968033 320|$23442_{-1564}^{+1104}$||$1.35_{-0.07}^{+0.05}$||$-1.12_{-0.23}^{+0.09}$|1.408(15)
120215A26.5516053 200|$10964_{-1632}^{+2217}$||$1.07_{-0.17}^{+0.24}$||$-2.11_{-1.07}^{+0.71}$|
120326A69.69560330 200|$35481_{-12039}^{+1672}$||$1.53_{-0.19}^{+0.11}$||$-1.11_{-1.00}^{+0.08}$|1.798(16)
130807A37.73260100 200|$10471_{-2153}^{+2117}$||$1.21_{-0.22}^{+0.27}$||$-1.64_{-1.06}^{+0.44}$|
131018A73.24350100 000|$7413_{-1387}^{+1707}$||$0.65_{-0.11}^{+0.12}$||$-1.88_{-1.43}^{+0.71}$|
150626B48.0509060 000|$20892_{-1394}^{+1494}$||$2.18 _{-0.17}^{+0.17}$||$-1.32_{-0.43}^{+0.22}$|
230414B25.9649069 500|$21379_{-2758}^{+3167}$||$1.73 _{-0.13}^{+0.15}$||$-1.27_{-0.03}^{+0.34}$|3.568(17)

Note.|$^{\rm a}$| The references of redshift for our sample. (1) Soderberg, Berger & Ofek (2005); (2) Fynbo et al. (2006); (3) Cucchiara et al. (2007); (4) Cucchiara et al. (2011); (5) Chornock, Perley & Cobb (2009); (6) Malesani et al. (2013); (7) Chornock, Fox & Berger (2014); (8) Cano et al. (2016); (9) Palmerio et al. (2017); (10) Perley et al. (2018); (11) Lipunov et al. (2019); (12) Palmerio et al. (2022); (13) Prochaska et al. (2007); (14) Berger et al. (2008); (15) Chornock et al. (2010); (16) Tello et al. (2012); (17) Agui Fernandez et al. (2023).

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