神经网络收敛标准与准确率之间的数学关系
制作一个带一个3*3卷积核的神经网络，测试集是minst的0和2图片集，将28*28的图片缩小成9*9，隐藏层30个节点所以网络的结构是
S（minst0）-（con3*3）49-30-2-（1,0）
画成图表示成
这个网络分成两个部分左边的是让minst 0向1,0收敛，右边的是让minst 2向 0,1收敛。但是让左右两边的权重实现同步更新，实现权重共享。实现对0和2的分类。
所以上图可以简写成
S（minst0）81-（con3*3）49-30-2-（1,0）
S（minst2）81-（con3*3）49-30-2-（0,1）
w=w，w1=w1,w2=w2
这个网络的收敛标准是
if (Math.abs(f2[0]-y[0])< δ && Math.abs(f2[1]-y[1])< δ )
本文尝试了δ从0.1到1e-8在内的32个值，测试集是misnt0和2的前4999张图片，
| 具体进样顺序 |
||
| 进样顺序 |
迭代次数 |
|
| minst 0-1 |
1 |
|
| minst 2-1 |
2 |
|
| 梯度下降 |
||
| minst 0-2 |
3 |
|
| minst 2-2 |
4 |
|
| 梯度下降 |
||
| minst 0-3 |
5 |
|
| minst 2-3 |
6 |
|
| 梯度下降 |
||
| minst 0-4 |
7 |
|
| minst 2-4 |
8 |
|
| 梯度下降 |
||
| minst 0-5 |
9 |
|
| minst 2-5 |
10 |
|
| 梯度下降 |
||
| 每5张图测量一次准确率 |
||
| …… |
||
| minst 0-4999 |
9997 |
|
| minst 2-4999 |
9998 |
|
| 梯度下降 |
||
| 测量准确率 |
||
| …… |
||
| 如果4999图片内没有达到收敛标准再次从头循环 |
||
| minst 0-1 |
9999 |
|
| minst 2-1 |
10000 |
|
| …… |
||
| 达到收敛测量准确率 |
||
每当网路达到收敛标准记录迭代次数和对应的准确率测试结果，测试集中有980个0和1032个2。
将整个过程重复200次，取平均值，得到的数据
| δ |
f2[0] |
f2[1] |
迭代次数n |
平均准确率p-ave |
耗时ms/次 |
耗时min/199次 |
最大准确率p-max |
| 0.1 |
0.570211 |
0.429708 |
2785.725 |
0.87929672 |
1741.95 |
5.7774675 |
0.968190855 |
| 1.00E-02 |
0.52454 |
0.475436 |
3620.905 |
0.879878231 |
2021.82 |
6.705703 |
0.972664016 |
| 1.00E-03 |
0.504974 |
0.495028 |
4846.435 |
0.847487575 |
2439.105 |
8.08969825 |
0.980119284 |
| 1.00E-04 |
0.53999 |
0.46001 |
7709.22 |
0.854035785 |
3178.255 |
10.54121242 |
0.982107356 |
| 9*1e-5 |
0.489998 |
0.510002 |
7951.16 |
0.858675447 |
3997.385 |
13.25799358 |
0.978628231 |
| 8*1e-5 |
0.460005 |
0.539995 |
8182.51 |
0.865089463 |
4070.015 |
13.49888308 |
0.98359841 |
| 7*1e-5 |
0.420008 |
0.579992 |
8193.28 |
0.872112326 |
4123.975 |
13.67785042 |
0.982107356 |
| 6*1e-5 |
0.450004 |
0.549996 |
8780.59 |
0.870482107 |
3718.12 |
12.33176467 |
0.981610338 |
| 5*1e-5 |
0.485001 |
0.514999 |
9227.095 |
0.861960736 |
4492.13 |
14.89889783 |
0.980616302 |
| 4*1e-5 |
0.415004 |
0.584996 |
9473.415 |
0.875581511 |
4582.965 |
15.20016725 |
0.984592445 |
| 3*1e-5 |
0.440003 |
0.559997 |
10478 |
0.858576044 |
5007.98 |
16.60980033 |
0.981610338 |
| 2*1e-5 |
0.554999 |
0.445001 |
12060.835 |
0.831160537 |
5095.7 |
16.90073833 |
0.978131213 |
| 1.00E-05 |
0.599999 |
0.400002 |
19757.36 |
0.852057654 |
7862.23 |
26.07639617 |
0.982604374 |
| 9*1e-6 |
0.49 |
0.51 |
22245.54 |
0.880181412 |
9614.285 |
31.88737858 |
0.98359841 |
| 8*1e-6 |
0.505 |
0.495 |
22214.925 |
0.885067097 |
9601.15 |
31.84381417 |
0.982604374 |
| 7*1e-6 |
0.534999 |
0.465001 |
28045.605 |
0.882390656 |
10982.155 |
36.42414742 |
0.982107356 |
| 6*1e-6 |
0.545 |
0.455 |
28410.335 |
0.89694334 |
11514.295 |
38.18907842 |
0.984095427 |
| 5*1e-6 |
0.55 |
0.45 |
33681.76 |
0.912897614 |
13525.2 |
44.85858 |
0.987574553 |
| 4*1e-6 |
0.584999 |
0.415001 |
37281.575 |
0.90874503 |
14962.59 |
49.6259235 |
0.986083499 |
| 3*1e-6 |
0.555 |
0.445 |
45173.585 |
0.921826541 |
18076.855 |
59.95490242 |
0.986083499 |
| 2*1e-6 |
0.555 |
0.445 |
60366.615 |
0.931230119 |
24418.135 |
80.98681442 |
0.985586481 |
| 1.00E-06 |
0.595 |
0.405 |
90392.445 |
0.951384195 |
35767.13 |
118.6276478 |
0.985586481 |
| 9*1e-7 |
0.615 |
0.385 |
99247.645 |
0.958735089 |
39147.3 |
129.838545 |
0.986580517 |
| 8*1e-7 |
0.595 |
0.405 |
95016.955 |
0.958625746 |
34390.615 |
114.0622064 |
0.985586481 |
| 7*1e-7 |
0.67 |
0.33 |
113411.54 |
0.958459245 |
40221.6 |
133.40164 |
0.989065606 |
| 6*1e-7 |
0.7 |
0.3 |
116304.29 |
0.95749503 |
40844.955 |
135.4691008 |
0.987077535 |
| 5*1e-7 |
0.675 |
0.325 |
129507.275 |
0.962219185 |
45387.82 |
150.5362697 |
0.986083499 |
| 4*1e-7 |
0.63 |
0.37 |
135768.05 |
0.961893638 |
46543.955 |
154.3707841 |
0.986580517 |
| 3*1e-7 |
0.735 |
0.265 |
149701.355 |
0.965775348 |
53110.415 |
176.1495431 |
0.987077535 |
| 2*1e-7 |
0.665 |
0.335 |
155856.775 |
0.967306163 |
54982.34 |
182.3580943 |
0.989562624 |
| 1.00E-07 |
0.72 |
0.28 |
207402.66 |
0.970795229 |
72608.73 |
240.8189545 |
0.990059642 |
| 1.00E-08 |
0.74 |
0.26 |
369805.81 |
0.975626243 |
129173.65 |
428.4259226 |
0.99055666 |
观察平均准确率曲线
可以看出随着δ减小，迭代次数n增加，平均准确率p-ave也是在增加的。
但是从曲线图得出 δ→p-ave之间的数学关系并不十分清晰。
但是观察δ与p-max之间的数学关系要清晰的多。所以先求δ对n的表达式，再求δ对p-max的表达式。
在上一篇《带卷积核的神经网络的迭代次数与收敛标准的关系》已经计算得到
S(Minst 0 )81-(con3*3)49-30-2-(1,0)
S(Minst 2 )81-(con3*3)49-30-2-(1,0)
的迭代次数和δ的关系可由
计算得到，因为神经网络是全连接的
S(Minst 2 )81-(con3*3)49-30-2-(1,0) 和
S(Minst 2 )81-(con3*3)49-30-2-(0,1)的n应该是相同的，没有方向的差别。
因为ln（n）/ln(n0*n2) 对 –lnδ关系明显
| n |
n0=n2 |
ln（n）/ln（n0*n2) |
δ |
-lnδ |
| 2785.725 |
0.1 |
|||
| 3620.905 |
0.01 |
|||
| 4846.435 |
658.6834 |
0.653750456 |
0.001 |
6.907755 |
| 7709.22 |
5318.859 |
0.521631749 |
0.0001 |
9.21034 |
| 7951.16 |
5833.075 |
0.517861997 |
0.00009 |
9.315701 |
| 8182.51 |
6562.749 |
0.512548941 |
0.00008 |
9.433484 |
| 8193.28 |
7426.693 |
0.505510792 |
0.00007 |
9.567015 |
| 8780.59 |
8598.216 |
0.501158414 |
0.00006 |
9.721166 |
| 9227.095 |
10094.04 |
0.495129944 |
0.00005 |
9.903488 |
| 9473.415 |
12473.37 |
0.48541531 |
0.00004 |
10.12663 |
| 10478 |
16430.17 |
0.47682873 |
0.00003 |
10.41431 |
| 12060.84 |
23892.59 |
0.466095471 |
0.00002 |
10.81978 |
| 19757.36 |
46117.89 |
0.460532712 |
0.00001 |
11.51293 |
| 22245.54 |
50912.49 |
0.461802126 |
0.000009 |
11.61829 |
| 22214.93 |
56772.68 |
0.457143183 |
0.000008 |
11.73607 |
| 28045.61 |
64443.06 |
0.462435214 |
0.000007 |
11.8696 |
| 28410.34 |
74778.2 |
0.456881611 |
0.000006 |
12.02375 |
| 33681.76 |
88113.18 |
0.457771218 |
0.000005 |
12.20607 |
| 37281.58 |
108641.6 |
0.453881842 |
0.000004 |
12.42922 |
| 45173.59 |
144183.1 |
0.451149625 |
0.000003 |
12.7169 |
| 60366.62 |
213663.8 |
0.448502642 |
0.000002 |
13.12236 |
| 90392.45 |
413461.7 |
0.441216886 |
0.000001 |
13.81551 |
| 99247.65 |
458372.5 |
0.44131137 |
9E-07 |
13.92087 |
ln（n）/ln（n0*n2) 与-lnδ进行拟合
| -13.92087107,-13.81551056,-13.12236338,-12.71689827,-12.4292162,-12.20607265,-12.02375109,-11.86960041,-11.73606902,-11.61828598,-11.51292546,-10.81977828,-10.41431318,-10.1266311,-9.903487553,-9.721165996,-9.567015316,-9.433483923,-9.315700888,-9.2103403 |
| 0.44131137,0.441216886,0.448502642,0.451149625,0.453881842,0.457771218,0.456881611,0.462435214,0.457143183,0.461802126,0.460532712,0.466095471,0.47682873,0.48541531,0.495129944,0.501158414,0.505510792,0.512548941,0.517861997,0.521631749, |
| 拟合方程式：y=a·e^bx |
| a = 0.697983476172017 |
| b = 0.0345006295769387 |
| 相关系数 R2：0.911993095192242 |
http://www.qinms.com/webapp/curvefit/cf.aspx
所以n的表达式
| δ |
实测n |
计算n0=n2 |
计算n |
实测n/计算n |
|
| 0.1 |
2785.725 |
||||
| 0.01 |
3620.905 |
||||
| 0.001 |
4846.435 |
0.549975 |
600.53455 |
1138.295 |
4.257624732 |
| 0.0001 |
7709.22 |
0.507975 |
5273.5036 |
6046.015 |
1.275091159 |
| 0.00009 |
7951.16 |
0.506132 |
5824.7091 |
6478.18 |
1.22737559 |
| 0.00008 |
8182.51 |
0.50408 |
6509.3823 |
6992.873 |
1.170121433 |
| 0.00007 |
8193.28 |
0.501763 |
7383.4397 |
7618.969 |
1.075379109 |
| 0.00006 |
8780.59 |
0.499101 |
8539.3956 |
8401.577 |
1.045112181 |
| 0.00005 |
9227.095 |
0.495972 |
10142.371 |
9415.939 |
0.979944202 |
| 0.00004 |
9473.415 |
0.492168 |
12519.299 |
10799.31 |
0.877223776 |
| 0.00003 |
10478 |
0.487307 |
16423.563 |
12836.8 |
0.816247346 |
| 0.00002 |
12060.84 |
0.480538 |
24077.992 |
16258.1 |
0.741835282 |
| 0.00001 |
19757.36 |
0.469183 |
46308.477 |
23883.3 |
0.827245664 |
| 0.000009 |
22245.54 |
0.46748 |
51148.805 |
25268.29 |
0.880373821 |
| 0.000008 |
22214.93 |
0.465585 |
57161.16 |
26894.61 |
0.825999153 |
| 0.000007 |
28045.61 |
0.463445 |
64836.563 |
28841.87 |
0.972391888 |
| 0.000006 |
28410.34 |
0.460986 |
74987.415 |
31232.47 |
0.909641135 |
| 0.000005 |
33681.76 |
0.458096 |
89063.701 |
34266.82 |
0.982926323 |
| 0.000004 |
37281.58 |
0.454583 |
109936.34 |
38302.78 |
0.973338705 |
| 0.000003 |
45173.59 |
0.450093 |
144221.04 |
44064.24 |
1.025175619 |
| 0.000002 |
60366.62 |
0.443841 |
211437.25 |
53341.37 |
1.131703447 |
| 0.000001 |
90392.45 |
0.433353 |
406650.91 |
72701.13 |
1.243343 |
| 9E-07 |
99247.65 |
0.43178 |
449155.52 |
76065.15 |
1.304771491 |
| 8E-07 |
95016.96 |
0.430029 |
501952.11 |
79965.39 |
1.188226039 |
| 7E-07 |
113411.5 |
0.428053 |
569352.5 |
84569.14 |
1.341051131 |
| 6E-07 |
116304.3 |
0.425782 |
658490.68 |
90129.93 |
1.290406922 |
| 5E-07 |
129507.3 |
0.423112 |
782099.46 |
97056.17 |
1.334353884 |
| 4E-07 |
135768.1 |
0.419867 |
965389.39 |
106062.8 |
1.280071682 |
| 3E-07 |
149701.4 |
0.415721 |
1266455.3 |
118562.3 |
1.262638622 |
| 2E-07 |
155856.8 |
0.409946 |
1856704.4 |
137939.8 |
1.129889437 |
| 1E-07 |
207402.7 |
0.400259 |
3570943.7 |
176042 |
1.178143172 |
| 1E-08 |
369805.8 |
0.369692 |
31357703 |
348881.3 |
1.059976092 |
比较实测n和计算n
在δ<0.0001的区间符合度都相对较高，表明用这个表达式计算n还是有价值的。
然后求δ和p-max之间的关系
| p-max |
δ |
-lnδ |
|
| 0.990557 |
1E-08 |
18.42068 |
|
| 0.99006 |
1E-07 |
16.1181 |
|
| 0.985586 |
0.000001 |
13.81551 |
|
| 0.982604 |
0.00001 |
11.51293 |
|
| 0.982107 |
0.0001 |
9.21034 |
|
| 0.980119 |
0.001 |
6.907755 |
|
| 0.972664 |
0.01 |
4.60517 |
|
| 0.968191 |
0.1 |
2.302585 |
拟合函数
| x |
18.42068074,16.11809565,13.81551056,11.51292546,9.210340372,6.907755279,4.605170186,2.302585093 |
| y |
0.99055666,0.990059642,0.985586481,0.982604374,0.982107356,0.980119284,0.972664016,0.968190855 |
| 拟合方程式：y=ax^b |
| a = 0.958033218846177 |
| b = 0.0111859972858988 |
| 相关系数 R2：0.965454330933756 |
也就是δ和p-max的关系是
所以由
这两个关于δ和n，δ和p-max之间的关系式就可以得到任意p-max对应的n的关系，就可以得到对应任意的准确率需要的收敛时间。
由这两组表达式估算了几组值
| p-max |
-lnδ |
δ |
n0=n2的计算值 |
n的计算值 |
耗时min |
|
| 0.9 |
0.003749 |
0.99625793 |
0.890001141 |
0.84988475 |
0.000984605 |
|
| 0.91 |
0.010068 |
0.98998273 |
0.895323244 |
0.85701565 |
0.000992866 |
|
| 0.92 |
0.026746 |
0.97360884 |
0.909524025 |
0.87611069 |
0.001014988 |
|
| 0.93 |
0.070305 |
0.93210962 |
0.94768501 |
0.92790315 |
0.001074991 |
|
| 0.94 |
0.182906 |
0.83284639 |
1.053916307 |
1.07556417 |
0.001246058 |
|
| 0.95 |
0.471061 |
0.62433977 |
1.38320663 |
1.56136053 |
0.001808861 |
|
| 0.96 |
1.201222 |
0.30082644 |
2.7548316 |
3.88523897 |
0.004501111 |
|
| 0.97 |
3.033589 |
0.04814256 |
15.52274933 |
31.4300487 |
0.036412212 |
|
| 0.98 |
7.588634 |
0.00050617 |
1141.696746 |
1927.84898 |
2.233443756 |
|
| 0.99 |
18.80736 |
6.7931E-09 |
45164488.53 |
384442.554 |
445.382824 |
|
| 0.9901 |
18.97795 |
5.7277E-09 |
53052125.28 |
400646.395 |
464.1552321 |
|
| 0.9902 |
19.15007 |
4.822E-09 |
62407300.72 |
417295.448 |
483.4434247 |
|
| 0.9903 |
19.32373 |
4.0533E-09 |
73519152.3 |
434383.546 |
503.2402584 |
|
| 0.9904 |
19.49896 |
3.4018E-09 |
86736854.82 |
451902.832 |
523.5366309 |
|
| 0.9905 |
19.67575 |
|
2.8506E-09 |
102482707.9 |
469843.674 |
544.3213821 |
| 0.9906 |
19.85413 |
2.3849E-09 |
121268208.8 |
488194.58 |
565.5811986 |
|
| 0.9907 |
20.0341 |
1.992E-09 |
143713821.4 |
506942.121 |
587.3005235 |
|
| 0.9908 |
20.21569 |
1.6613E-09 |
170573327.7 |
526070.859 |
609.4614709 |
|
| 0.9909 |
20.39891 |
1.3831E-09 |
202763870.8 |
545563.276 |
632.0437476 |
|
| 0.991 |
20.58377 |
1.1497E-09 |
241403075.9 |
565399.718 |
655.0245818 |
|
| 0.992 |
22.52592 |
1.6486E-10 |
1508707432 |
776752.661 |
899.8803331 |
|
| 0.993 |
24.64909 |
1.9726E-11 |
11185157105 |
984332.886 |
1140.36533 |
|
| 0.994 |
26.96992 |
1.9369E-12 |
99926750942 |
1136436.11 |
1316.579336 |
|
| 0.995 |
29.50661 |
1.5327E-13 |
1.09439E+12 |
1181452.42 |
1368.731448 |
|
| 0.996 |
32.27896 |
9.5813E-15 |
1.49706E+13 |
1094619.41 |
1268.134031 |
|
| 0.997 |
35.30862 |
4.6308E-16 |
2.61062E+14 |
896354.093 |
1038.440498 |
|
| 0.998 |
38.61917 |
1.6901E-17 |
5.93404E+15 |
645161.599 |
747.4299905 |
|
| 0.999 |
42.23632 |
4.5394E-19 |
1.80136E+17 |
407346.761 |
471.9177126 |
|
| 0.9999 |
45.77704 |
1.3161E-20 |
5.08775E+18 |
241179.218 |
279.4099667 |
|
| 0.99999 |
46.14685 |
9.0923E-21 |
7.21225E+18 |
227590.287 |
263.6669737 |
|
| 0.999999 |
46.184 |
8.7608E-21 |
7.4695E+18 |
226261.879 |
262.1279916 |
|
| 0.9999999 |
46.18771 |
8.7283E-21 |
7.49574E+18 |
226129.342 |
261.9744456 |
|
| 0.99999999 |
46.18809 |
8.7251E-21 |
7.49837E+18 |
226116.092 |
261.9590945 |
|
| 0.999999999 |
46.18812 |
8.7248E-21 |
7.49863E+18 |
226114.767 |
261.9575594 |
估算p-max到0.995需要1368min，但是计算max>0.995以后耗时减小这个可能是由于测量精度导致参数不准确，影响了表达式的实用范围，实测0.9905需要428min计算556min，相差1.29倍。
再对比其他的几组已知值
| p-max |
-lnδ |
δ |
n0=n2的计算值 |
n的计算值 |
计算耗时min |
实测耗时 min |
计算耗时min/实测耗时min |
|
| 0.989065606 |
17.28488 |
3.1137E-08 |
10737691.2 |
254857.443 |
295.2564085 |
133.40164 |
2.213289195 |
|
| 0.987077535 |
14.43936 |
5.3588E-07 |
732595.7135 |
94378.3558 |
109.3388288 |
135.4691008 |
0.807112679 |
|
| 0.986083499 |
13.19562 |
1.8587E-06 |
226568.4159 |
55171.1095 |
63.91660933 |
150.5362697 |
0.424592754 |
|
| 0.986580517 |
13.80364 |
1.0119E-06 |
402122.7318 |
72329.5005 |
83.79487866 |
154.3707841 |
0.542815658 |
|
| 0.987077535 |
14.43936 |
5.3588E-07 |
732595.7135 |
94378.3558 |
109.3388288 |
176.1495431 |
0.620715938 |
|
| 0.989562624 |
18.07887 |
1.4075E-08 |
22713153.36 |
318885.829 |
369.4343137 |
182.3580943 |
2.025872858 |
|
| 0.990059642 |
18.90892 |
6.1371E-09 |
49706732.02 |
394052.999 |
456.5166776 |
240.8189545 |
1.895684161 |
|
| 0.99055666 |
19.77662 |
2.577E-09 |
112716349.8 |
480191.772 |
556.3098179 |
428.4259226 |
1.2984971 |
可以看到计算耗时min/实测耗时min的波动
在2.21-0.42倍之间，所以这个表达式
用于估算
S（minst0）81-（con3*3）49-30-2-（1,0）
S（minst2）81-（con3*3）49-30-2-（0,1）
w=w，w1=w1,w2=w2
在p-max小于等于0.995的区间上的对应迭代次数和收敛时间还是有实用价值的。
实验数据
S（minst0）81-（con3*3）49-30-2-（1,0）
S（minst2）81-（con3*3）49-30-2-（0,1）
w=w，w1=w1,w2=w2
学习率 0.1
权重初始化方式
Random rand1 =new Random();
int ti1=rand1.nextInt(98)+1;
int xx=1;
if(ti1%2==0)
{
xx=-1;
}
tw[a][b]=xx*((double)ti1/x);
第一层第二层和卷积核的权重的初始化的x分别为1000,1000,200
f2[0] f2[1] 迭代次数n 准确率p-ave
0.909601 0.092829 2411 0.845924453
0.906268 0.098417 2109 0.903578529
0.089703 0.912437 2730 0.928926441
0.07684 0.923246 1552 0.955765408
0.909205 0.094157 2521 0.922465209
0.077602 0.923511 1990 0.956262425
0.921152 0.07575 2061 0.954771372
0.91589 0.086153 2613 0.901093439
0.905676 0.093369 5061 0.632703777
0.099974 0.902258 3956 0.934393638
0.093112 0.907826 1552 0.954274354
0.915253 0.08714 3417 0.895626243
0.0735 0.926446 2730 0.898111332
0.901185 0.098477 2647 0.918489066
0.098409 0.903168 1462 0.968190855
0.911171 0.084661 2411 0.913021869
0.90383 0.095245 2389 0.957256461
0.054078 0.945443 3150 0.778827038
0.915909 0.085684 3827 0.796222664
0.080423 0.918717 2224 0.905069583
0.096128 0.90262 3086 0.958250497
0.909273 0.088031 2647 0.954771372
0.085236 0.911519 4104 0.812127237
0.905018 0.095971 2411 0.837475149
0.904622 0.097392 1913 0.942842942
0.905265 0.097919 2625 0.937872763
0.905527 0.094766 2883 0.915506958
0.912675 0.086466 2613 0.920974155
0.095613 0.904924 2430 0.909045726
0.084854 0.917242 2558 0.949801193
0.096835 0.903732 2832 0.877733598
0.908851 0.089342 1685 0.915506958
0.902231 0.097659 2411 0.823558648
0.080689 0.919005 3572 0.902584493
0.083474 0.917506 1664 0.942842942
0.918884 0.078249 2411 0.748508946
0.946952 0.054653 2263 0.620775348
0.903037 0.093812 2613 0.95526839
0.916349 0.083518 2623 0.710735586
0.944441 0.051276 2263 0.575049702
0.911503 0.089876 3019 0.875248509
0.0715 0.927184 1774 0.942842942
0.917433 0.079248 2109 0.895626243
0.90737 0.0913 1707 0.902087475
0.911296 0.087812 1981 0.949801193
0.907261 0.091845 1913 0.924950298
0.905774 0.096329 2065 0.941351889
0.90132 0.098001 3333 0.88667992
0.094682 0.902736 4424 0.881709742
0.066968 0.930997 1990 0.964214712
0.916967 0.082088 3219 0.72166998
0.922118 0.076312 2969 0.895626243
0.931379 0.067372 3441 0.77833002
0.924852 0.07343 2893 0.753976143
0.912363 0.089482 3827 0.812127237
0.935299 0.062049 2635 0.850397614
0.080571 0.920869 3264 0.948807157
0.08037 0.91961 2224 0.894632207
0.92235 0.077318 2635 0.891650099
0.924472 0.075685 3181 0.912027833
0.089409 0.911111 3150 0.897117296
0.91153 0.08794 3441 0.840954274
0.940387 0.055177 2263 0.772365805
0.915043 0.083421 3181 0.91500994
0.924413 0.074299 2635 0.651093439
0.904729 0.094627 2879 0.597912525
0.901808 0.09824 2711 0.906560636
0.904792 0.096831 3417 0.896620278
0.908075 0.091677 3133 0.851888668
0.910648 0.090733 2613 0.943836978
0.099845 0.902587 4920 0.906063618
0.099022 0.903746 1802 0.933399602
0.907689 0.093692 2077 0.949304175
0.095266 0.908027 2074 0.961729622
0.092587 0.905573 3878 0.928926441
0.09044 0.912081 3264 0.875745527
0.067236 0.932094 2224 0.914512922
0.081844 0.918744 1802 0.955765408
0.900462 0.098263 1865 0.945328032
0.086651 0.910865 2906 0.843439364
0.947477 0.052739 4517 0.65805169
0.088845 0.909925 3260 0.950298211
0.086583 0.913143 3956 0.894632207
0.905622 0.095299 3009 0.782306163
0.089583 0.912269 2366 0.951292247
0.917674 0.081691 3181 0.914512922
0.905975 0.092254 1913 0.959741551
0.901488 0.096882 2635 0.809145129
0.067213 0.933898 1552 0.965705765
0.086463 0.91661 3884 0.948310139
0.086862 0.911809 2224 0.868787276
0.08299 0.915138 3260 0.918986083
0.910027 0.092163 3123 0.848409543
0.909174 0.093049 3181 0.912027833
0.917808 0.08588 2411 0.89860835
0.902254 0.097506 1691 0.81361829
0.910215 0.087856 1685 0.932902584
0.086143 0.916072 2224 0.909045726
0.906299 0.097592 2625 0.897614314
0.095683 0.902559 1552 0.962723658
0.90778 0.087649 1685 0.931411531
0.095295 0.905508 1946 0.9527833
0.912939 0.08485 2893 0.733101392
0.068812 0.933835 1802 0.954771372
0.090356 0.908264 2224 0.903081511
0.911393 0.089445 3937 0.773359841
0.91287 0.089518 3325 0.939860835
0.093445 0.905577 4614 0.93389662
0.074666 0.92783 2692 0.919483101
0.098488 0.903812 2730 0.95526839
0.099495 0.900004 2938 0.958250497
0.092216 0.90633 1664 0.955765408
0.089016 0.910482 3854 0.636182903
0.9144 0.082271 1685 0.933399602
0.903833 0.094282 2411 0.876739563
0.072435 0.92548 1990 0.948807157
0.075513 0.924646 3290 0.87972167
0.926033 0.075362 6379 0.489562624
0.936757 0.062013 2411 0.900596421
0.095079 0.908543 2366 0.937375746
0.912064 0.08909 3905 0.881709742
0.910624 0.084725 3417 0.906063618
0.077977 0.917848 1990 0.967196819
0.08912 0.913811 3150 0.707753479
0.090254 0.910689 4762 0.924950298
0.098835 0.900155 2406 0.958250497
0.098461 0.90149 2224 0.884194831
0.092369 0.903825 2558 0.92445328
0.910823 0.092289 3019 0.81361829
0.906569 0.092466 4069 0.756461233
0.901154 0.096208 2879 0.883697813
0.933375 0.065808 2411 0.844930417
0.901815 0.096674 2145 0.921471173
0.906705 0.09176 2411 0.881212724
0.926749 0.078053 2647 0.901590457
0.930185 0.070385 4207 0.853379722
0.082497 0.918161 4178 0.949801193
0.912239 0.087061 3905 0.812127237
0.093923 0.905325 3264 0.952286282
0.09505 0.903901 2148 0.962723658
0.915192 0.081519 3219 0.764413519
0.923351 0.078696 2411 0.912524851
0.903685 0.095416 2413 0.952286282
0.913496 0.086982 2263 0.604870775
0.917375 0.082115 4517 0.726640159
0.901488 0.098309 2191 0.874751491
0.901667 0.098038 2109 0.895626243
0.924333 0.078614 2065 0.914015905
0.910308 0.086905 2893 0.786282306
0.907488 0.095282 4413 0.821570577
0.092625 0.907365 4334 0.932902584
0.078207 0.923302 3956 0.899602386
0.903197 0.097421 2651 0.754970179
0.067953 0.931942 1890 0.953280318
0.901886 0.096835 2781 0.925944334
0.920138 0.079249 6185 0.567594433
0.096801 0.907917 5358 0.843936382
0.906418 0.094846 2025 0.960238569
0.912635 0.088716 2635 0.845427435
0.924425 0.076907 2411 0.857355865
0.096718 0.900567 4502 0.92693837
0.914985 0.083843 2077 0.932902584
0.921042 0.077435 3123 0.826043738
0.936992 0.06344 2623 0.698807157
0.092667 0.903619 2018 0.913021869
0.094147 0.902539 2224 0.873757455
0.946838 0.053061 2411 0.897117296
0.091713 0.904392 2832 0.940854871
0.902073 0.097522 2635 0.792246521
0.095589 0.904851 2158 0.923459245
0.063636 0.937347 4800 0.823558648
0.911053 0.092872 2401 0.921968191
0.906097 0.095251 4291 0.861829026
0.098845 0.901829 1552 0.953777336
0.095306 0.905603 1946 0.949801193
0.0685 0.930837 1552 0.938866799
0.073959 0.927217 2596 0.916500994
0.925073 0.076368 2411 0.897614314
0.922046 0.076612 2109 0.897117296
0.0879 0.911105 3290 0.892644135
0.910218 0.08968 2411 0.82554672
0.078937 0.918647 2832 0.963717694
0.906233 0.093021 2547 0.891153082
0.098523 0.903163 3264 0.925447316
0.901167 0.095738 2077 0.954274354
0.908996 0.090962 3123 0.963717694
0.084269 0.913969 3302 0.943836978
0.093016 0.908711 1994 0.961729622
0.907256 0.093582 2879 0.592445328
0.91925 0.080356 2635 0.843439364
0.928915 0.072973 1685 0.930914513
0.084825 0.914346 3054 0.854373757
0.905028 0.094042 2787 0.915506958
0.901878 0.098163 2195 0.894632207
0.068154 0.929981 2224 0.891650099
0.923522 0.077287 2119 0.942345924
0.078464 0.922094 2832 0.940854871
0.914969 0.086227 3417 0.898111332
0.068229 0.929597 2832 0.967693837
0.904004 0.096798 2627 0.94333996
5.70E-01 4.30E-01 2785.725 0.87929672
p-max
0.968190855
0.01
0.007701 0.992174 3766 0.954771
0.992028 0.008022 5061 0.850398
0.009461 0.990142 3150 0.937376
0.008771 0.990373 1802 0.94334
0.993344 0.006528 2901 0.761431
0.009597 0.990242 3522 0.88668
0.990253 0.00975 4723 0.820577
0.991145 0.008815 3919 0.69831
0.99218 0.008149 2413 0.950795
0.993061 0.006815 2625 0.904573
0.990205 0.00979 5987 0.708748
0.009503 0.99026 2832 0.972167
0.008537 0.991499 3744 0.95328
0.992493 0.007761 3417 0.934394
0.992159 0.008124 2635 0.842942
0.008555 0.991388 2912 0.962227
0.005934 0.99394 3260 0.955268
0.99118 0.009125 2263 0.885686
0.994578 0.005429 4443 0.921968
0.993518 0.006517 2879 0.842942
0.992888 0.007265 4207 0.963221
0.009504 0.991046 2224 0.93837
0.008081 0.991621 3178 0.939861
0.993893 0.005808 4443 0.904573
0.003699 0.996188 3264 0.945328
0.007461 0.992664 1990 0.929423
0.008978 0.991065 3956 0.932406
0.990914 0.009089 3839 0.913519
0.009099 0.990945 3576 0.956759
0.992886 0.007062 2411 0.948807
0.992062 0.007836 2647 0.97167
0.006712 0.993384 3264 0.954274
0.008657 0.991465 6744 0.682903
0.006155 0.993666 2832 0.972664
0.008851 0.990927 3290 0.932406
0.009586 0.990197 3452 0.961233
0.991519 0.008504 4517 0.850895
0.009278 0.990618 3778 0.929423
0.996972 0.003055 5061 0.85338
0.008094 0.991929 3150 0.949304
0.007933 0.992181 3766 0.936382
0.990794 0.009408 4683 0.939364
0.992007 0.008102 3287 0.913022
0.992215 0.008049 2635 0.682406
0.006787 0.993291 3264 0.933897
0.990837 0.008801 5061 0.782803
0.99131 0.008794 4517 0.846421
0.009217 0.9907 3260 0.932406
0.990621 0.009296 2635 0.921471
0.996997 0.002978 5061 0.512922
0.991095 0.008373 2623 0.707256
0.00977 0.990358 3302 0.955765
0.009767 0.990305 3576 0.94334
0.008861 0.991214 3956 0.962227
0.990071 0.009521 2627 0.956759
0.991743 0.008336 2263 0.761431
0.990891 0.008681 5411 0.733101
0.008084 0.991974 3302 0.916501
0.991619 0.00841 3417 0.943837
0.990566 0.009142 4599 0.748509
0.991251 0.008945 2625 0.955268
0.006663 0.993326 4852 0.894135
0.990743 0.009132 8421 0.705268
0.994833 0.005196 5061 0.554175
0.994777 0.005285 5061 0.745527
0.007645 0.992326 3884 0.896123
0.008072 0.991976 3536 0.936879
0.009301 0.990711 3150 0.867296
0.007757 0.992549 3526 0.928429
0.007564 0.992403 3264 0.945328
0.991187 0.008572 2901 0.839463
0.993972 0.006252 2879 0.941352
0.99125 0.008912 4723 0.86332
0.008859 0.99122 2818 0.956262
0.991886 0.007882 2635 0.854374
0.009764 0.990147 3576 0.938867
0.0083 0.991783 4614 0.917992
0.992205 0.00782 3019 0.908052
0.991157 0.009052 4069 0.920477
0.99045 0.009436 4207 0.91998
0.004368 0.995731 3526 0.884692
0.990369 0.009365 3019 0.92495
0.99436 0.005503 4723 0.853877
0.00801 0.991787 3668 0.94334
0.005527 0.994102 3264 0.964215
0.007101 0.992953 4424 0.928429
0.994832 0.005178 2263 0.810139
0.007173 0.993028 3884 0.850895
0.990694 0.009019 2969 0.925944
0.990846 0.008723 4207 0.94831
0.992273 0.007828 2847 0.923459
0.009529 0.990448 3854 0.800199
0.992675 0.007252 3417 0.828032
0.008558 0.991531 3956 0.963718
0.992389 0.008058 2879 0.937873
0.992489 0.007704 2901 0.814612
0.990821 0.009091 3299 0.766899
0.993101 0.006844 4723 0.676441
0.009059 0.990599 3150 0.885189
0.008733 0.991194 3884 0.880219
0.991214 0.008821 2625 0.936879
0.990105 0.009739 4517 0.823062
0.993264 0.006631 5827 0.731113
0.991469 0.008798 2901 0.863817
0.992204 0.007967 3265 0.818091
0.993525 0.006462 4443 0.823062
0.990477 0.009853 3181 0.959742
0.009665 0.990543 3150 0.907058
0.009237 0.990803 3744 0.952286
0.007128 0.992712 4092 0.953777
0.00732 0.99266 3946 0.908549
0.993888 0.006027 2635 0.849404
0.007833 0.991952 5114 0.877237
0.008085 0.991917 3150 0.890159
0.995215 0.004858 2635 0.894632
0.992744 0.007112 3747 0.8166
0.991072 0.009448 4605 0.829523
0.009826 0.990039 2730 0.946322
0.993192 0.006612 2635 0.912028
0.992639 0.007373 7135 0.596421
0.9907 0.009109 3157 0.922962
0.99138 0.008445 3565 0.710239
0.991274 0.008784 3747 0.915507
0.006875 0.993227 4920 0.898608
0.006576 0.993083 4092 0.920477
0.006746 0.993062 3884 0.91501
0.990286 0.009867 3931 0.66998
0.003787 0.996226 3264 0.950298
0.008836 0.991102 3166 0.949801
0.992592 0.007667 2901 0.814115
0.00589 0.994146 4614 0.931909
0.992392 0.007425 2879 0.822565
0.009922 0.990137 3150 0.893638
0.008679 0.991154 3576 0.935885
0.008512 0.991616 3526 0.920974
0.991593 0.008122 2635 0.838469
0.990005 0.009955 3919 0.86829
0.005119 0.994835 4092 0.958748
0.99213 0.008081 2635 0.89165
0.99128 0.008727 5271 0.77336
0.994819 0.005007 5061 0.67992
0.005542 0.994503 4092 0.94831
0.993698 0.006119 2635 0.926938
0.009177 0.990479 2938 0.967694
0.990023 0.009947 2411 0.942843
0.991105 0.009055 2635 0.660537
0.993697 0.006348 2635 0.916004
0.991227 0.009226 2635 0.861829
0.992659 0.007402 4443 0.84841
0.004329 0.995624 5114 0.947316
0.991332 0.008434 3181 0.962724
0.009454 0.990439 5216 0.941352
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9.52E-05 0.999904 7934 0.856362
6.60E-05 0.999934 8304 0.963718
0.999933 6.57E-05 9259 0.590457
6.94E-05 0.999929 7618 0.973161
9.78E-05 0.999902 8118 0.931909
0.999926 7.41E-05 7707 0.616799
6.19E-05 0.999938 8254 0.975646
0.999903 9.83E-05 5901 0.875249
0.999958 4.29E-05 8421 0.854374
0.999914 8.72E-05 5979 0.71173
3.97E-05 0.999961 7934 0.897614
0.999908 9.10E-05 6647 0.68837
0.999927 7.22E-05 9259 0.752982
1.79E-05 0.999982 7934 0.829026
5.55E-05 0.999944 8304 0.962724
0.999921 8.05E-05 5827 0.592942
0.999902 9.91E-05 8069 0.938867
0.53999 0.46001 7709.22 0.854036
0.982107
9*1e-5
0.999969 3.21E-05 10261 0.599404
0.999919 8.17E-05 9781 0.89165
0.999911 8.88E-05 7957 0.95328
0.999935 6.36E-05 10261 0.566103
0.999928 7.08E-05 7957 0.919483
5.53E-05 0.999944 8304 0.9667
0.999922 7.74E-05 6185 0.785288
3.72E-05 0.999962 7934 0.957753
0.999915 8.59E-05 8841 0.880716
6.52E-05 0.999934 8520 0.972664
0.999912 8.80E-05 7957 0.927435
8.50E-05 0.999917 9694 0.956262
8.95E-05 0.999911 8776 0.9667
7.16E-05 0.999927 5676 0.915507
6.22E-05 0.999939 7330 0.94831
0.999913 8.66E-05 5827 0.557157
0.999918 8.25E-05 5647 0.895626
7.04E-05 0.99993 5998 0.973161
8.62E-05 0.999913 5998 0.947813
4.28E-05 0.999958 5998 0.955765
0.999961 3.80E-05 9259 0.601889
0.999931 7.01E-05 7951 0.9334
5.32E-05 0.999946 8118 0.947813
0.999918 8.18E-05 7313 0.867296
8.71E-05 0.99991 7934 0.892147
6.57E-05 0.999933 5540 0.889165
0.999931 6.75E-05 6863 0.965706
8.75E-05 0.999912 8304 0.943837
7.92E-05 0.999922 7126 0.941352
5.93E-05 0.99994 9234 0.942346
0.999924 7.51E-05 6753 0.942843
0.999946 5.38E-05 7957 0.907555
0.999921 7.93E-05 6185 0.608847
0.999932 6.73E-05 5647 0.847416
4.02E-05 0.99996 8304 0.970676
0.999927 7.37E-05 7191 0.880716
0.999929 7.10E-05 11349 0.572068
0.999921 7.92E-05 11349 0.606362
0.999945 5.40E-05 8421 0.90507
5.44E-05 0.999945 5540 0.904573
5.49E-05 0.999944 5998 0.972167
3.48E-05 0.999964 8304 0.973658
0.999913 8.49E-05 5647 0.884692
7.45E-05 0.999926 8304 0.965209
7.79E-05 0.999922 10254 0.95825
6.43E-05 0.999935 9234 0.956262
7.34E-05 0.999927 7618 0.921968
8.30E-05 0.999918 7618 0.960239
7.24E-05 0.999926 8304 0.965209
0.999922 7.75E-05 6185 0.560139
6.60E-05 0.999933 7934 0.93837
0.999939 6.24E-05 5827 0.695328
8.37E-05 0.99992 5676 0.904076
0.999937 6.21E-05 10275 0.811133
8.94E-05 0.999911 8118 0.946322
5.65E-05 0.999944 8520 0.975149
0.999913 8.80E-05 7379 0.705765
8.16E-05 0.999918 8328 0.969185
6.35E-05 0.999937 7170 0.971173
0.999934 6.58E-05 16181 0.559145
0.999917 8.23E-05 6185 0.591451
0.999915 8.75E-05 6185 0.656064
0.999923 7.88E-05 5827 0.699801
4.35E-05 0.999955 5998 0.976143
7.91E-05 0.999919 5998 0.964712
5.55E-05 0.999945 8596 0.948807
7.56E-05 0.99992 7934 0.829026
6.16E-05 0.999938 5998 0.952286
0.999939 6.06E-05 8069 0.927932
0.999917 8.20E-05 7707 0.645626
0.999919 8.23E-05 5647 0.916004
0.999914 8.47E-05 7135 0.715706
0.999914 8.58E-05 12259 0.576044
0.999935 6.59E-05 8187 0.952783
0.999921 7.93E-05 6379 0.906064
8.30E-05 0.999919 8520 0.969185
7.45E-05 0.999927 5998 0.969682
7.64E-05 0.999925 7934 0.974155
0.99993 7.05E-05 8421 0.917495
6.17E-05 0.99994 8304 0.967694
8.62E-05 0.999914 9976 0.932903
5.61E-05 0.999942 8304 0.927435
0.999959 4.07E-05 10431 0.84493
0.99995 4.98E-05 10449 0.508946
8.57E-05 0.999916 7366 0.875746
7.27E-05 0.999928 8118 0.951789
6.95E-05 0.99993 9234 0.968688
6.82E-05 0.999932 5998 0.96173
4.58E-05 0.999955 7934 0.931412
6.01E-05 0.99994 5676 0.913022
7.32E-05 0.999927 8520 0.960239
0.999965 3.50E-05 6185 0.625249
0.99995 4.92E-05 10261 0.685388
3.94E-05 0.999959 8304 0.955268
0.999925 7.41E-05 5647 0.845924
5.81E-05 0.999942 8304 0.972167
0.999942 5.76E-05 8841 0.792744
5.21E-05 0.999948 10966 0.872763
5.45E-05 0.999946 7934 0.97167
0.999915 8.47E-05 7957 0.916998
0.999915 8.56E-05 6185 0.807654
0.999918 8.30E-05 9259 0.720179
5.61E-05 0.999943 8798 0.875249
8.04E-05 0.999921 8596 0.894632
0.999927 7.25E-05 7191 0.809642
6.51E-05 0.999935 9976 0.902584
0.999919 7.82E-05 8421 0.90507
7.58E-05 0.999925 5936 0.957256
2.33E-05 0.999976 8304 0.962227
5.56E-05 0.999944 7934 0.927932
0.999919 8.22E-05 7951 0.909543
0.999945 5.39E-05 6185 0.52336
3.67E-05 0.999964 9234 0.964215
0.999911 8.87E-05 6185 0.731113
0.999919 8.18E-05 5827 0.785288
8.69E-05 0.999914 8118 0.962724
5.20E-05 0.999948 7934 0.941352
0.999916 8.55E-05 7191 0.814115
7.22E-05 0.999927 8520 0.973161
0.999921 7.90E-05 6185 0.780815
0.999921 7.88E-05 5827 0.733101
7.08E-05 0.999929 8118 0.960239
6.71E-05 0.999933 9234 0.959245
0.999915 8.61E-05 6647 0.86332
0.999936 6.57E-05 6185 0.75
0.999922 7.81E-05 5827 0.799702
0.999918 8.17E-05 5827 0.690855
5.24E-05 0.999947 8304 0.968191
0.999953 4.63E-05 10261 0.564612
4.58E-05 0.999954 8304 0.97664
3.94E-05 0.99996 20962 0.905567
0.999937 6.14E-05 9259 0.55169
4.67E-05 0.999954 5998 0.949801
0.999919 8.11E-05 7215 0.797714
0.999913 8.68E-05 5647 0.868787
8.58E-05 0.999915 8118 0.951789
6.41E-05 0.999936 8304 0.959245
5.60E-05 0.999945 9234 0.956262
8.01E-05 0.999919 6968 0.977137
0.999926 7.47E-05 6185 0.529324
0.999917 8.10E-05 10449 0.766402
0.999932 6.73E-05 5647 0.831014
7.07E-05 0.99993 5676 0.918489
6.59E-05 0.999935 8304 0.978628
0.999948 5.26E-05 10261 0.717197
6.48E-05 0.999936 9234 0.936879
0.999955 4.73E-05 7707 0.541252
0.999964 3.49E-05 8421 0.850398
6.93E-05 0.999931 8118 0.966203
6.16E-05 0.999939 9572 0.922962
0.999932 6.71E-05 5647 0.894632
8.70E-05 0.999912 5998 0.956262
0.999939 6.17E-05 5827 0.564115
0.999927 7.33E-05 6185 0.614314
0.999941 6.00E-05 5647 0.899105
8.06E-05 0.999919 8304 0.978628
0.999917 8.33E-05 5647 0.783797
3.06E-05 0.99997 8304 0.975646
8.87E-05 0.99991 5998 0.930915
0.999935 6.55E-05 10431 0.645129
5.68E-05 0.999941 5998 0.926938
4.34E-05 0.999957 5998 0.97167
3.24E-05 0.999969 8596 0.878231
0.99994 6.08E-05 6185 0.60835
6.59E-05 0.999935 10966 0.855865
5.30E-05 0.999946 10966 0.827535
0.999933 6.67E-05 6185 0.770378
0.999929 7.15E-05 8069 0.954274
0.999925 7.60E-05 7361 0.954771
0.999917 8.26E-05 11349 0.511431
6.72E-05 0.999933 8304 0.951789
0.999922 7.84E-05 8213 0.951789
0.999926 7.30E-05 7707 0.639165
0.999944 5.70E-05 8187 0.935885
0.999915 8.48E-05 10431 0.876243
4.82E-05 0.999951 5998 0.971173
6.96E-05 0.999932 8254 0.968191
4.27E-05 0.999958 8118 0.960239
6.94E-05 0.999931 10966 0.953777
0.999924 7.55E-05 15983 0.637674
0.99992 7.74E-05 6185 0.758946
0.999929 7.09E-05 7951 0.934891
5.01E-05 0.99995 8118 0.955765
0.99991 8.85E-05 7191 0.875249
5.01E-05 0.99995 8304 0.967694
0.999939 6.08E-05 9815 0.656561
8.30E-05 0.999917 7934 0.883698
8.46E-05 0.999916 10140 0.962227
4.94E-05 0.999951 8304 0.964215
3.06E-05 0.99997 7934 0.934891
0.999924 7.59E-05 9259 0.691849
7.80E-05 0.999922 8304 0.959742
0.99996 3.98E-05 6185 0.660537
8.04E-05 0.99992 8304 0.970179
8.23E-05 0.999917 8118 0.952783
0.999928 7.18E-05 7215 0.802187
0.99993 6.93E-05 9259 0.766899
0.999935 6.27E-05 5647 0.866302
0.999912 8.67E-05 8421 0.925944
0.999913 8.64E-05 8279 0.932903
0.489998 0.510002 7951.16 0.858675
0.978628
8*1e-5
7.01E-05 0.999929 8304 0.959742
6.89E-05 0.99993 5676 0.925944
0.99994 6.05E-05 10599 0.921471
0.999927 7.19E-05 5827 0.585487
0.999941 5.91E-05 6407 0.826044
7.47E-05 0.999925 7768 0.912525
1.90E-05 0.999981 8304 0.967197
0.999924 7.65E-05 7379 0.777833
0.999937 6.33E-05 5647 0.836978
2.51E-05 0.999975 7934 0.836481
3.12E-05 0.999969 7934 0.974155
0.999934 6.57E-05 8421 0.923459
5.04E-05 0.99995 8304 0.941352
0.99996 4.00E-05 11349 0.519881
5.31E-05 0.999948 8328 0.973161
3.78E-05 0.999962 5998 0.955765
5.50E-05 0.999946 8520 0.95825
0.999957 4.37E-05 8187 0.953777
7.66E-05 0.999924 8304 0.9667
0.999944 5.60E-05 5647 0.829026
7.50E-05 0.999923 5998 0.962227
0.999948 5.22E-05 9815 0.667992
0.999955 4.53E-05 9259 0.636183
0.999958 4.25E-05 10327 0.67495
7.06E-05 0.99993 5998 0.967694
0.99994 5.94E-05 8187 0.951292
0.999925 7.47E-05 8841 0.76839
5.52E-05 0.999945 8118 0.907555
0.99994 5.96E-05 10431 0.821571
5.95E-05 0.99994 11288 0.965209
6.74E-05 0.999931 8304 0.960239
7.17E-05 0.99993 8520 0.922465
0.999942 6.05E-05 7957 0.955765
0.999931 6.61E-05 5621 0.847913
6.22E-05 0.999939 10996 0.960736
0.99996 3.92E-05 9259 0.74006
3.16E-05 0.999969 8118 0.97167
0.999953 4.73E-05 7957 0.951789
0.999944 5.51E-05 7951 0.90507
4.38E-05 0.999956 8118 0.952783
0.999932 6.66E-05 7191 0.821074
7.24E-05 0.999928 8520 0.983598
0.999953 4.70E-05 6185 0.772863
4.78E-05 0.999953 8304 0.947813
2.66E-05 0.999973 7934 0.870775
4.96E-05 0.999952 8520 0.947316
0.999929 6.99E-05 5647 0.892644
0.999926 7.54E-05 9259 0.865805
0.999939 6.13E-05 7957 0.92495
0.999924 7.75E-05 5827 0.706759
2.63E-05 0.999974 7934 0.881213
0.999953 4.68E-05 10213 0.542247
0.999923 7.67E-05 5827 0.811133
7.62E-05 0.999923 7934 0.918986
3.35E-05 0.999968 5998 0.970676
6.92E-05 0.999932 5998 0.974652
5.38E-05 0.999946 8520 0.934891
4.62E-05 0.999953 8520 0.973161
0.999966 3.38E-05 6185 0.680417
0.999945 5.48E-05 8217 0.881213
6.06E-05 0.999939 10252 0.91004
6.90E-05 0.999933 7330 0.952783
0.999934 6.59E-05 6533 0.91501
7.52E-05 0.999925 8314 0.956262
7.72E-05 0.999921 8798 0.957256
6.99E-05 0.99993 8304 0.94831
7.30E-05 0.999926 8596 0.895129
7.91E-05 0.999921 7170 0.969682
0.999942 5.90E-05 7957 0.927932
0.999926 7.64E-05 5647 0.904573
0.999929 7.18E-05 8841 0.813618
7.09E-05 0.99993 8768 0.869781
0.999924 7.47E-05 5647 0.864314
5.30E-05 0.999946 11288 0.963221
0.999934 6.42E-05 5827 0.727137
0.999964 3.59E-05 10261 0.63171
2.43E-05 0.999976 7934 0.857356
0.999927 7.40E-05 8421 0.901093
0.999925 7.82E-05 6185 0.644135
0.999926 7.38E-05 6185 0.677435
6.08E-05 0.999939 7934 0.974652
1.76E-05 0.999983 8304 0.977137
0.99995 5.03E-05 7957 0.942346
7.28E-05 0.999926 5676 0.934891
5.92E-05 0.999941 8304 0.963221
5.39E-05 0.999946 13774 0.964215
5.86E-05 0.999941 8304 0.959245
0.999925 7.65E-05 7957 0.9334
7.34E-05 0.999926 7678 0.965706
0.999938 6.17E-05 8421 0.760437
7.68E-05 0.999922 10252 0.934394
5.95E-05 0.999941 8304 0.960736
6.70E-05 0.999931 7008 0.960736
7.93E-05 0.999922 8304 0.956759
0.999942 5.80E-05 10449 0.611829
0.999926 7.28E-05 8421 0.793241
0.999957 4.35E-05 10449 0.689861
0.999939 6.05E-05 5647 0.835984
0.999924 7.51E-05 8841 0.795726
7.62E-05 0.999924 8566 0.941849
5.51E-05 0.999945 8520 0.930417
0.999932 6.79E-05 8217 0.656561
7.28E-05 0.999928 5676 0.885686
5.13E-05 0.999949 11288 0.957256
6.66E-05 0.999932 8304 0.949801
0.999923 7.74E-05 5647 0.885189
6.56E-05 0.999934 8566 0.859841
0.999939 6.12E-05 7957 0.935885
0.999944 5.56E-05 9781 0.803678
0.999923 7.68E-05 7707 0.49503
5.73E-05 0.999942 8304 0.970179
5.94E-05 0.999941 5998 0.978131
3.46E-05 0.999965 8304 0.953777
0.999989 1.09E-05 12187 0.537773
6.99E-05 0.99993 8322 0.967197
0.999966 3.50E-05 8213 0.931909
0.999954 4.58E-05 9259 0.709245
6.34E-05 0.999936 8520 0.973161
6.32E-05 0.999936 10966 0.900596
0.999974 2.61E-05 11349 0.572565
0.999922 7.81E-05 6407 0.84841
0.999923 7.91E-05 6379 0.746024
3.89E-05 0.999961 7934 0.912028
0.999952 4.79E-05 9211 0.865308
2.31E-05 0.999977 10966 0.90159
0.999938 6.20E-05 7957 0.932406
0.999973 2.67E-05 10327 0.660537
6.30E-05 0.999935 7934 0.823062
0.999959 4.11E-05 10261 0.582505
0.999933 6.68E-05 5647 0.905567
0.999925 7.39E-05 10431 0.574056
5.05E-05 0.999949 5676 0.907555
0.999946 5.63E-05 8279 0.873757
0.999936 6.51E-05 6185 0.818091
6.49E-05 0.999936 5938 0.951789
6.27E-05 0.999937 7618 0.955765
0.999933 6.54E-05 8279 0.861829
0.999956 4.45E-05 6863 0.960736
7.26E-05 0.999925 9234 0.946819
0.99994 5.93E-05 9259 0.585984
0.999939 6.25E-05 7957 0.909046
0.999974 2.59E-05 10261 0.663519
7.95E-05 0.999921 7768 0.947316
0.999943 5.90E-05 7379 0.658549
4.88E-05 0.99995 8416 0.950298
5.37E-05 0.999946 7366 0.855368
3.43E-05 0.999966 8304 0.95328
7.56E-05 0.999926 13298 0.954771
6.91E-05 0.999931 8446 0.919483
6.61E-05 0.999935 7934 0.847416
7.21E-05 0.999925 8520 0.976143
0.999942 5.82E-05 10261 0.617793
0.999942 5.69E-05 10261 0.548211
5.06E-05 0.99995 7934 0.850398
7.72E-05 0.999921 8798 0.850895
4.62E-05 0.999955 9460 0.96173
0.999939 6.20E-05 5827 0.648111
6.68E-05 0.999935 8304 0.937873
0.999941 5.88E-05 11349 0.504473
0.999956 4.40E-05 11349 0.678926
0.999972 2.77E-05 6185 0.680915
6.86E-05 0.999932 5998 0.968688
0.999921 7.90E-05 7957 0.95328
2.44E-05 0.999976 10966 0.955268
7.17E-05 0.999928 8304 0.964712
3.41E-05 0.999966 10966 0.847416
0.999946 5.35E-05 7957 0.911034
0.999945 5.45E-05 8841 0.887177
0.999943 5.68E-05 10327 0.762922
0.999928 7.13E-05 5827 0.780318
7.09E-05 0.999928 8304 0.945825
4.12E-05 0.999959 8304 0.968688
7.17E-05 0.999928 8304 0.937873
5.38E-05 0.999946 5998 0.951789
6.84E-05 0.999931 5998 0.952783
0.999943 5.77E-05 7957 0.935885
7.76E-05 0.999922 7618 0.943837
6.99E-05 0.99993 7934 0.865308
0.999931 6.83E-05 7957 0.931412
5.33E-05 0.999947 7934 0.878728
2.51E-05 0.999975 8304 0.977634
0.999941 5.80E-05 5827 0.670477
7.97E-05 0.999921 8118 0.949801
7.76E-05 0.999921 8304 0.972664
0.999964 3.79E-05 10261 0.563121
5.84E-05 0.999943 8118 0.973658
4.41E-05 0.999956 8314 0.949801
0.999927 7.40E-05 6185 0.827038
6.80E-05 0.999931 8118 0.965209
7.01E-05 0.999929 8416 0.970179
0.999923 7.89E-05 10261 0.728628
5.14E-05 0.999949 8304 0.957256
4.61E-05 0.999955 9234 0.95328
6.90E-05 0.999931 5998 0.950795
5.49E-05 0.999947 7934 0.920974
6.35E-05 0.999935 7934 0.896123
0.999925 7.50E-05 6517 0.750497
0.999935 6.54E-05 7957 0.928926
6.25E-05 0.999938 5998 0.948807
7.90E-05 0.999924 8304 0.955765
0.460005 0.539995 8182.51 0.865089
0.983598
7.00E-05
0.999933 6.77E-05 6185 0.829026
4.58E-05 0.999954 14088 0.954771
0.999954 4.51E-05 8421 0.889165
6.63E-05 0.999934 10038 0.931909
0.999944 5.50E-05 10261 0.60835
0.999957 4.32E-05 6185 0.563618
0.999952 4.89E-05 5827 0.702783
6.05E-05 0.99994 5676 0.91501
4.86E-05 0.999952 7934 0.833996
5.49E-05 0.999946 10038 0.947813
5.81E-05 0.999943 8304 0.972664
3.46E-05 0.999966 7934 0.85835
4.33E-05 0.999957 10416 0.884692
2.05E-05 0.99998 5998 0.973658
0.999952 4.67E-05 9259 0.639165
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