$\mathcal{X}$

$\exp \left[-W_0\left(-\frac{\ln \left(\mathcal{X}\right)}{\mathcal{X}}\right)\right]$

$\mathcal{X}$

$\exp \left[-W_{-1}\left(-\frac{\ln \left(\mathcal{X}\right)}{\mathcal{X}}\right)\right]$

1.000922

100000

3

2.478052

1.004931

1493.1

4

2.000000

1.00698

1000

5

1.764922

1.012666

500

6

1.624244

1.027597

200

7

1.530140

1.049519

100

8

1.462501

1.066895

70

9

1.411382

1.076203

60

10

1.371289

1.088933

50

11

1.338936

1.107538

40

12

1.312235

1.137669

30

12.9155

1.29155

1.196236

20

13

1.289792

1.254088

15

14

1.270640

1.270640

14

15

1.254088

1.289792

13

20

1.196236

1.312235

12

30

1.137669

1.338936

11

40

1.107538

1.371289

10

50

1.088933

1.411382

9

60

1.076203

1.462501

8

70

1.066895

1.530140

7

100

1.049519

1.624244

6

137.036

1.038

1.764922

5

137.7798

1.03778

2

4

200

1.027597

2.5

2.98

500

1.012666

2.718282

2.718282

1000

1.00698

1493.1

1.004931