Table 8: Measured velocity shift and line width of HILs and LILs.
Redshift Magnitude Line Velocity Shift Profile Parameter ${\it FWHM}^{{a}}$
      (km s-1) $\alpha $ $\beta $ (km s-1)
$2.0 \! \leq \! z \! < \! 2.5$ $-24.5 \! > \! M_B \! \geq \! -25.5$ HIL -464.9 $\pm$ 1.2 117.30 $\pm$ 0.02 99.37 $\pm$ 0.02 3858
    LIL -83.4 $\pm$ 1.9 114.49 $\pm$ 0.05 119.60 $\pm$ 0.07 3550
  $-25.5 \! > \! M_B \! \geq \! -26.5$ HIL -495.6 $\pm$ 1.4 112.90 $\pm$ 0.02 85.50 $\pm$ 0.02 4264
    LIL +111.5 $\pm$ 2.5 106.01 $\pm$ 0.05 110.53 $\pm$ 0.07 3838
  $-26.5 \! > \! M_B \! \geq \! -27.5$ HIL -446.5 $\pm$ 1.7 110.31 $\pm$ 0.02 79.98 $\pm$ 0.03 4474
    LIL +308.1 $\pm$ 2.5 106.49 $\pm$ 0.07 109.75 $\pm$ 0.09 3842
  $-27.5 \! > \! M_B \! \geq \! -28.5$ HIL -327.0 $\pm$ 1.8 114.32 $\pm$ 0.02 77.77 $\pm$ 0.02 4480
    LIL +484.8 $\pm$ 2.8 101.64 $\pm$ 0.07 104.12 $\pm$ 0.08 4038
  $-28.5 \! > \! M_B \! \geq \! -29.5$ HIL -583.7 $\pm$ 2.0 106.74 $\pm$ 0.02 80.08 $\pm$ 0.03 4535
    LIL +153.3 $\pm$ 2.4 93.17 $\pm$ 0.05 105.50 $\pm$ 0.05 4199
$2.5 \! \leq \! z \! < \! 3.0$ $-24.5 \! > \! M_B \! \geq \! -25.5$ HIL -390.6 $\pm$ 1.0 128.57 $\pm$ 0.02 117.31 $\pm$ 0.03 3384
    LIL -170.7 $\pm$ 1.5 115.80 $\pm$ 0.04 125.72 $\pm$ 0.06 3445
  $-25.5 \! > \! M_B \! \geq \! -26.5$ HIL -354.7 $\pm$ 1.2 127.48 $\pm$ 0.02 106.94 $\pm$ 0.03 3568
    LIL +4.6 $\pm$ 2.0 125.05 $\pm$ 0.06 116.90 $\pm$ 0.05 3436
  $-26.5 \! > \! M_B \! \geq \! -27.5$ HIL -371.4 $\pm$ 1.8 112.18 $\pm$ 0.01 82.69 $\pm$ 0.02 4358
    LIL +259.9 $\pm$ 2.9 101.31 $\pm$ 0.05 103.77 $\pm$ 0.09 4051
  $-27.5 \! > \! M_B \! \geq \! -28.5$ HIL -451.1 $\pm$ 1.9 109.93 $\pm$ 0.02 74.99 $\pm$ 0.03 4653
    LIL +571.5 $\pm$ 2.4 109.82 $\pm$ 0.07 102.59 $\pm$ 0.07 3914
  $-28.5 \! > \! M_B \! \geq \! -29.5$ HIL -535.5 $\pm$ 2.2 108.21 $\pm$ 0.03 73.18 $\pm$ 0.03 4751
    LIL +737.3 $\pm$ 1.7 104.08 $\pm$ 0.05 95.22 $\pm$ 0.05 4175
$3.0 \! \leq \! z \! < \! 3.5$ $-25.5 \! > \! M_B \! \geq \! -26.5$ HIL -507.0 $\pm$ 1.2 122.96 $\pm$ 0.02 98.43 $\pm$ 0.03 3795
    LIL -186.5 $\pm$ 2.1 119.09 $\pm$ 0.05 111.70 $\pm$ 0.06 3602
  $-26.5 \! > \! M_B \! \geq \! -27.5$ HIL -576.9 $\pm$ 1.6 119.72 $\pm$ 0.02 89.27 $\pm$ 0.02 4056
    LIL -20.1 $\pm$ 2.2 106.02 $\pm$ 0.05 119.36 $\pm$ 0.06 3699
  $-27.5 \! > \! M_B \! \geq \! -28.5$ HIL -549.8 $\pm$ 1.8 118.15 $\pm$ 0.03 74.78 $\pm$ 0.02 4528
    LIL +16.9 $\pm$ 2.7 110.84 $\pm$ 0.05 102.22 $\pm$ 0.06 3904
  $-28.5 \! > \! M_B \! \geq \! -29.5$ HIL -298.9 $\pm$ 1.7 126.01 $\pm$ 0.02 80.60 $\pm$ 0.03 4218
    LIL +763.3 $\pm$ 2.1 110.34 $\pm$ 0.06 103.28 $\pm$ 0.06 3891
$3.5 \! \leq \! z \! < \! 4.0$ $-25.5 \! > \! M_B \! \geq \! -26.5$ HIL -644.7 $\pm$ 1.1 126.18 $\pm$ 0.02 110.47 $\pm$ 0.02 3524
    LIL -350.6 $\pm$ 1.5 124.67 $\pm$ 0.04 124.82 $\pm$ 0.07 3329
  $-26.5 \! > \! M_B \! \geq \! -27.5$ HIL -588.7 $\pm$ 1.8 116.88 $\pm$ 0.02 85.67 $\pm$ 0.02 4196
    LIL +263.9 $\pm$ 2.2 111.61 $\pm$ 0.07 103.73 $\pm$ 0.06 3861
  $-27.5 \! > \! M_B \! \geq \! -28.5$ HIL -507.8 $\pm$ 1.7 120.30 $\pm$ 0.02 76.28 $\pm$ 0.02 4441
    LIL +433.2 $\pm$ 1.6 99.75 $\pm$ 0.04 114.15 $\pm$ 0.07 3902
  $-28.5 \! > \! M_B \! \geq \! -29.5$ HIL -5.3 $\pm$ 2.3 109.58 $\pm$ 0.02 88.25 $\pm$ 0.03 4245
    LIL +553.2 $\pm$ 1.7 116.68 $\pm$ 0.05 115.84 $\pm$ 0.07 3572
$4.0 \! \leq \! z \! < \! 4.5$ $-25.5 \! > \! M_B \! \geq \! -26.5$ HIL -625.7 $\pm$ 0.7 133.03 $\pm$ 0.02 137.22 $\pm$ 0.03 3073
    LIL -145.0 $\pm$ 2.8 89.42 $\pm$ 0.05 86.79 $\pm$ 0.06 4716
  $-26.5 \! > \! M_B \! \geq \! -27.5$ HIL -634.4 $\pm$ 1.6 116.43 $\pm$ 0.03 91.71 $\pm$ 0.03 4044
    LIL +169.8 $\pm$ 3.9 123.05 $\pm$ 0.10 76.44 $\pm$ 0.05 4397
  $-27.5 \! > \! M_B \! \geq \! -28.5$ HIL -262.2 $\pm$ 1.9 115.83 $\pm$ 0.02 78.54 $\pm$ 0.02 4431
    LIL -287.4 $\pm$ 5.8 111.97 $\pm$ 0.25 91.26 $\pm$ 0.14 4127

a Instrumental broadening was corrected by assuming that the instrumental width of 150 km s-1.

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