I have used gather/separate/spread
in the past, but I guess they have been superseded and may be interfering with some of my plots, so I have been recommended to change to pivot_longer()
. However, I cannot seem to figure out how to get the same data frame.
Here is my original dataframe:
df <- structure(list(Station = c("Stn01", "Stn11", "Stn20", "Stn01",
"Stn11", "Stn20", "Stn01", "Stn11", "Stn20", "Stn01", "Stn11",
"Stn20", "Stn01", "Stn11", "Stn20", "Stn01", "Stn11", "Stn20",
"Stn01", "Stn11", "Stn20", "Stn01", "Stn11", "Stn20", "Stn01",
"Stn11", "Stn20"), HC = c("Alkanes", "Alkanes", "Alkanes", "Alkylated PAHs",
"Alkylated PAHs", "Alkylated PAHs", "PAHs", "PAHs", "PAHs", "Alkanes",
"Alkanes", "Alkanes", "Alkylated PAHs", "Alkylated PAHs", "Alkylated PAHs",
"PAHs", "PAHs", "PAHs", "Alkanes", "Alkanes", "Alkanes", "Alkylated PAHs",
"Alkylated PAHs", "Alkylated PAHs", "PAHs", "PAHs", "PAHs"),
Treatment = c("Control", "Control", "Control", "Control",
"Control", "Control", "Control", "Control", "Control", "Diesel",
"Diesel", "Diesel", "Diesel", "Diesel", "Diesel", "Diesel",
"Diesel", "Diesel", "Heidrun", "Heidrun", "Heidrun", "Heidrun",
"Heidrun", "Heidrun", "Heidrun", "Heidrun", "Heidrun"), Avg_0 = c(6.62,
6.82, 0, 0, 0, 0, 0, 0, 0, 11.73, 10.92, 10.98, 7.96, 6.71,
6.9, 3.97, 2.95, 0, 9.58, 10.73, 10.79, 9.37, 10.78, 10.89,
7, 8.49, 8.49), Avg_12 = c(6.47, 7.33, 0, 0, 2.61, 0, 0,
1.86, 0, 11.8, 11.94, 9.8, 8.66, 9.32, 8.39, 6.26, 7.22,
6.44, 8.93, 8.49, 0, 10.08, 10.42, 9.7, 8.58, 9.1, 8.47),
Avg_24 = c(6.39, 8.1, 0, 0, 0, 0, 0, 3.51, 0, 10.55, 10.92,
9.35, 7.78, 8.27, 7.76, 5.64, 6.69, 5.64, 8.28, 8.84, 1.68,
9.26, 9.99, 9.2, 7.93, 8.66, 8.04), Avg_36 = c(6.38, 8.06,
3.82, 0, 2.25, 0, 0, 4.86, 0, 10.04, 9.13, 9.4, 7.38, 7.15,
7.48, 4.77, 6.24, 4.83, 8.48, 8.65, 3.56, 8.91, 9.52, 8.34,
7.32, 8.31, 7.58), Avg_48 = c(6.49, 7.9, 0, 0, 0, 0, 0, 4.89,
0, 10.24, 9.47, 8.28, 7.23, 7.27, 6.74, 4.55, 6.21, 3, 8.92,
8.97, 3.44, 8.79, 9.28, 7.85, 7.07, 8.04, 7.17), Avg_60 = c(6.22,
7.96, 6.56, 0, 0, 0, 0, 5.45, 0, 10.15, 9.46, 8.05, 7, 5.86,
1.95, 1.48, 5.93, 0, 8.78, 8.56, 7.31, 8.63, 8.49, 7.1, 7.23,
7.77, 6.62), Avg_72 = c(6.84, 7.15, 7.49, 0, 0, 0, 0, 4.72,
0, 10.24, 8.46, 9.89, 6.78, 4.01, 4.03, 0, 3.56, 0, 8.42,
7.55, 8.21, 5.38, 8.02, 7.46, 4.57, 7.42, 6.6), Std_0 = c(0.12,
0.98, 0, 0, 0, 0, 0, 0, 0, 1.35, 0.42, 0.29, 1.04, 0.86,
0.45, 3.44, 2.56, 0, 0.88, 0.23, 0.09, 1.72, 0.23, 0.1, 1.79,
0.23, 0.09), Std_12 = c(0.1, 0.39, 0, 0, 4.52, 0, 0, 3.23,
0, 1.18, 0.98, 0.26, 0.18, 0.49, 0.13, 0.37, 0.16, 0.06,
0.03, 0.4, 0, 0.29, 0.15, 0.11, 0.08, 0.12, 0.08), Std_24 = c(0.25,
0.58, 0, 0, 0, 0, 0, 3.08, 0, 1.16, 0.41, 0.43, 0.19, 0.39,
0.09, 0.24, 0.15, 0.07, 0.27, 0.06, 2.91, 0.12, 0.24, 0.05,
0.15, 0.3, 0.07), Std_36 = c(0.47, 0.63, 3.35, 0, 3.9, 0,
0, 0.32, 0, 1.33, 0.28, 1.63, 0.16, 0.31, 0.47, 0.1, 0.13,
0.12, 0.64, 0.1, 3.08, 0.35, 0.16, 0.09, 0.18, 0.14, 0.02
), Std_48 = c(0.6, 0.31, 0, 0, 0, 0, 0, 0.36, 0, 0.14, 0.88,
0.29, 0.5, 0.49, 0.35, 0.15, 0.18, 2.59, 1, 0.08, 2.98, 0.2,
0.15, 0.18, 0.24, 0.14, 0.13), Std_60 = c(0.82, 0.61, 0.22,
0, 0, 0, 0, 0.66, 0, 0.57, 1.03, 0.31, 0.16, 1.3, 3.38, 2.56,
0.27, 0, 0.43, 0.07, 0.23, 0.48, 0.27, 0.39, 0.25, 0.15,
0.2), Std_72 = c(0.02, 0.4, 0.2, 0, 0, 0, 0, 0.32, 0, 0.56,
0.89, 0.49, 0.61, 3.48, 3.51, 0, 3.09, 0, 0.82, 1.5, 0.06,
4.69, 0.14, 0.3, 3.96, 0.19, 0.06)), class = "data.frame", row.names = c(NA,
27L))
And here is the code I previously used:
df2 = df %>%
gather(time, value, -Station, -Treatment, -HC) %>%
separate(time, c("Stat", "Var")) %>%
spread(Stat, value)
And here is df2
> data.frame(df2)
Station HC Treatment Var Avg Std
1 Stn01 Alkanes Control 0 6.621491 0.11631567
2 Stn01 Alkanes Control 12 6.473529 0.09578875
3 Stn01 Alkanes Control 24 6.393808 0.24823024
4 Stn01 Alkanes Control 36 6.375814 0.46547541
5 Stn01 Alkanes Control 48 6.494237 0.60114917
6 Stn01 Alkanes Control 60 6.222063 0.82456790
7 Stn01 Alkanes Control 72 6.844415 0.02202778
8 Stn01 Alkanes Diesel 0 11.729584 1.35398125
9 Stn01 Alkanes Diesel 12 11.802093 1.17725691
10 Stn01 Alkanes Diesel 24 10.548623 1.16186598
11 Stn01 Alkanes Diesel 36 10.035586 1.32654703
12 Stn01 Alkanes Diesel 48 10.244188 0.13859883
13 Stn01 Alkanes Diesel 60 10.146536 0.56706695
14 Stn01 Alkanes Diesel 72 10.244465 0.55938128
15 Stn01 Alkanes Heidrun 0 9.578874 0.88330482
16 Stn01 Alkanes Heidrun 12 8.929797 0.03025275
17 Stn01 Alkanes Heidrun 24 8.284761 0.26987942
18 Stn01 Alkanes Heidrun 36 8.482976 0.63811537
19 Stn01 Alkanes Heidrun 48 8.918134 0.99887085
20 Stn01 Alkanes Heidrun 60 8.775376 0.42741441
21 Stn01 Alkanes Heidrun 72 8.417767 0.82238414
22 Stn01 Alkylated PAHs Control 0 0.000000 0.00000000
23 Stn01 Alkylated PAHs Control 12 0.000000 0.00000000
24 Stn01 Alkylated PAHs Control 24 0.000000 0.00000000
25 Stn01 Alkylated PAHs Control 36 0.000000 0.00000000
26 Stn01 Alkylated PAHs Control 48 0.000000 0.00000000
27 Stn01 Alkylated PAHs Control 60 0.000000 0.00000000
28 Stn01 Alkylated PAHs Control 72 0.000000 0.00000000
29 Stn01 Alkylated PAHs Diesel 0 7.960627 1.03913361
30 Stn01 Alkylated PAHs Diesel 12 8.662339 0.18208836
31 Stn01 Alkylated PAHs Diesel 24 7.784496 0.18994927
32 Stn01 Alkylated PAHs Diesel 36 7.376753 0.15882542
33 Stn01 Alkylated PAHs Diesel 48 7.230484 0.50120409
34 Stn01 Alkylated PAHs Diesel 60 7.002890 0.15646328
35 Stn01 Alkylated PAHs Diesel 72 6.779103 0.61029703
36 Stn01 Alkylated PAHs Heidrun 0 9.367344 1.72094653
37 Stn01 Alkylated PAHs Heidrun 12 10.082869 0.29415459
38 Stn01 Alkylated PAHs Heidrun 24 9.259678 0.12171481
39 Stn01 Alkylated PAHs Heidrun 36 8.907677 0.34686340
40 Stn01 Alkylated PAHs Heidrun 48 8.794576 0.20443661
41 Stn01 Alkylated PAHs Heidrun 60 8.633095 0.48155427
42 Stn01 Alkylated PAHs Heidrun 72 5.376805 4.68690530
43 Stn01 PAHs Control 0 0.000000 0.00000000
44 Stn01 PAHs Control 12 0.000000 0.00000000
45 Stn01 PAHs Control 24 0.000000 0.00000000
46 Stn01 PAHs Control 36 0.000000 0.00000000
47 Stn01 PAHs Control 48 0.000000 0.00000000
48 Stn01 PAHs Control 60 0.000000 0.00000000
49 Stn01 PAHs Control 72 0.000000 0.00000000
50 Stn01 PAHs Diesel 0 3.968547 3.44357627
51 Stn01 PAHs Diesel 12 6.263849 0.36819129
52 Stn01 PAHs Diesel 24 5.636045 0.24033814
53 Stn01 PAHs Diesel 36 4.768062 0.10433426
54 Stn01 PAHs Diesel 48 4.551265 0.15052789
55 Stn01 PAHs Diesel 60 1.479981 2.56340154
56 Stn01 PAHs Diesel 72 0.000000 0.00000000
57 Stn01 PAHs Heidrun 0 6.996183 1.79284347
58 Stn01 PAHs Heidrun 12 8.582956 0.07869598
59 Stn01 PAHs Heidrun 24 7.931676 0.15300706
60 Stn01 PAHs Heidrun 36 7.319881 0.17798018
61 Stn01 PAHs Heidrun 48 7.074597 0.24238709
62 Stn01 PAHs Heidrun 60 7.225184 0.25387164
63 Stn01 PAHs Heidrun 72 4.565478 3.96113845
64 Stn11 Alkanes Control 0 6.819945 0.97902331
65 Stn11 Alkanes Control 12 7.333212 0.38905367
66 Stn11 Alkanes Control 24 8.104873 0.57856444
67 Stn11 Alkanes Control 36 8.062125 0.62644411
68 Stn11 Alkanes Control 48 7.904382 0.31320345
69 Stn11 Alkanes Control 60 7.956617 0.61191206
70 Stn11 Alkanes Control 72 7.148201 0.40366363
71 Stn11 Alkanes Diesel 0 10.920603 0.42274728
72 Stn11 Alkanes Diesel 12 11.942563 0.98408961
73 Stn11 Alkanes Diesel 24 10.923680 0.40809327
74 Stn11 Alkanes Diesel 36 9.126043 0.27721105
75 Stn11 Alkanes Diesel 48 9.469791 0.88096328
76 Stn11 Alkanes Diesel 60 9.463811 1.03361345
77 Stn11 Alkanes Diesel 72 8.456687 0.89304467
78 Stn11 Alkanes Heidrun 0 10.733623 0.23269887
79 Stn11 Alkanes Heidrun 12 8.490746 0.40459069
80 Stn11 Alkanes Heidrun 24 8.838450 0.05919360
81 Stn11 Alkanes Heidrun 36 8.646687 0.10360369
82 Stn11 Alkanes Heidrun 48 8.972611 0.08290277
83 Stn11 Alkanes Heidrun 60 8.562786 0.07100640
84 Stn11 Alkanes Heidrun 72 7.550729 1.49682901
85 Stn11 Alkylated PAHs Control 0 0.000000 0.00000000
86 Stn11 Alkylated PAHs Control 12 2.609902 4.52048285
87 Stn11 Alkylated PAHs Control 24 0.000000 0.00000000
88 Stn11 Alkylated PAHs Control 36 2.252772 3.90191507
89 Stn11 Alkylated PAHs Control 48 0.000000 0.00000000
90 Stn11 Alkylated PAHs Control 60 0.000000 0.00000000
91 Stn11 Alkylated PAHs Control 72 0.000000 0.00000000
92 Stn11 Alkylated PAHs Diesel 0 6.705842 0.85510317
93 Stn11 Alkylated PAHs Diesel 12 9.319237 0.49239843
94 Stn11 Alkylated PAHs Diesel 24 8.267307 0.38986263
95 Stn11 Alkylated PAHs Diesel 36 7.147588 0.30608563
96 Stn11 Alkylated PAHs Diesel 48 7.268045 0.49381914
97 Stn11 Alkylated PAHs Diesel 60 5.857923 1.29590884
98 Stn11 Alkylated PAHs Diesel 72 4.011634 3.47682181
99 Stn11 Alkylated PAHs Heidrun 0 10.784315 0.22800645
100 Stn11 Alkylated PAHs Heidrun 12 10.417527 0.15014292
101 Stn11 Alkylated PAHs Heidrun 24 9.993212 0.23598037
102 Stn11 Alkylated PAHs Heidrun 36 9.518269 0.15532675
103 Stn11 Alkylated PAHs Heidrun 48 9.277790 0.14585692
104 Stn11 Alkylated PAHs Heidrun 60 8.492607 0.26669409
105 Stn11 Alkylated PAHs Heidrun 72 8.015163 0.14303819
106 Stn11 PAHs Control 0 0.000000 0.00000000
107 Stn11 PAHs Control 12 1.863725 3.22806554
108 Stn11 PAHs Control 24 3.505419 3.07915940
109 Stn11 PAHs Control 36 4.863693 0.32386366
110 Stn11 PAHs Control 48 4.886971 0.35810888
111 Stn11 PAHs Control 60 5.445887 0.66034850
112 Stn11 PAHs Control 72 4.717201 0.31915071
113 Stn11 PAHs Diesel 0 2.952711 2.55827327
114 Stn11 PAHs Diesel 12 7.215409 0.15640465
115 Stn11 PAHs Diesel 24 6.686688 0.14949982
116 Stn11 PAHs Diesel 36 6.237002 0.13335497
117 Stn11 PAHs Diesel 48 6.208333 0.18293420
118 Stn11 PAHs Diesel 60 5.928555 0.26737710
119 Stn11 PAHs Diesel 72 3.557723 3.08687868
120 Stn11 PAHs Heidrun 0 8.488757 0.23205968
121 Stn11 PAHs Heidrun 12 9.102304 0.12085427
122 Stn11 PAHs Heidrun 24 8.664061 0.29644743
123 Stn11 PAHs Heidrun 36 8.309851 0.14125593
124 Stn11 PAHs Heidrun 48 8.038313 0.14097116
125 Stn11 PAHs Heidrun 60 7.773979 0.14573561
126 Stn11 PAHs Heidrun 72 7.416157 0.19134229
127 Stn20 Alkanes Control 0 0.000000 0.00000000
128 Stn20 Alkanes Control 12 0.000000 0.00000000
129 Stn20 Alkanes Control 24 0.000000 0.00000000
130 Stn20 Alkanes Control 36 3.821349 3.34649990
131 Stn20 Alkanes Control 48 0.000000 0.00000000
132 Stn20 Alkanes Control 60 6.564225 0.21539148
133 Stn20 Alkanes Control 72 7.486341 0.20436615
134 Stn20 Alkanes Diesel 0 10.984364 0.29144447
135 Stn20 Alkanes Diesel 12 9.799222 0.26435254
136 Stn20 Alkanes Diesel 24 9.351346 0.42947220
137 Stn20 Alkanes Diesel 36 9.397014 1.62881745
138 Stn20 Alkanes Diesel 48 8.276159 0.28532815
139 Stn20 Alkanes Diesel 60 8.049423 0.30844008
140 Stn20 Alkanes Diesel 72 9.892089 0.49382239
141 Stn20 Alkanes Heidrun 0 10.791625 0.09164511
142 Stn20 Alkanes Heidrun 12 0.000000 0.00000000
143 Stn20 Alkanes Heidrun 24 1.677661 2.90579449
144 Stn20 Alkanes Heidrun 36 3.557033 3.08412839
145 Stn20 Alkanes Heidrun 48 3.438805 2.98001652
146 Stn20 Alkanes Heidrun 60 7.312609 0.22919464
147 Stn20 Alkanes Heidrun 72 8.214011 0.05606546
148 Stn20 Alkylated PAHs Control 0 0.000000 0.00000000
149 Stn20 Alkylated PAHs Control 12 0.000000 0.00000000
150 Stn20 Alkylated PAHs Control 24 0.000000 0.00000000
151 Stn20 Alkylated PAHs Control 36 0.000000 0.00000000
152 Stn20 Alkylated PAHs Control 48 0.000000 0.00000000
153 Stn20 Alkylated PAHs Control 60 0.000000 0.00000000
154 Stn20 Alkylated PAHs Control 72 0.000000 0.00000000
155 Stn20 Alkylated PAHs Diesel 0 6.895491 0.45383586
156 Stn20 Alkylated PAHs Diesel 12 8.388744 0.12780268
157 Stn20 Alkylated PAHs Diesel 24 7.764613 0.08532223
158 Stn20 Alkylated PAHs Diesel 36 7.476990 0.47485073
159 Stn20 Alkylated PAHs Diesel 48 6.737704 0.35296976
160 Stn20 Alkylated PAHs Diesel 60 1.951222 3.37961617
161 Stn20 Alkylated PAHs Diesel 72 4.034777 3.51395767
162 Stn20 Alkylated PAHs Heidrun 0 10.889993 0.09649378
163 Stn20 Alkylated PAHs Heidrun 12 9.700617 0.11036149
164 Stn20 Alkylated PAHs Heidrun 24 9.196964 0.04600598
165 Stn20 Alkylated PAHs Heidrun 36 8.342139 0.08658614
166 Stn20 Alkylated PAHs Heidrun 48 7.854261 0.17562572
[ reached 'max' / getOption("max.print") -- omitted 23 rows ]
The furthest I can get to is
df3 = df %>%
pivot_longer(!c(Station, HC, Treatment), names_to = c("Avg", "Std"),
names_pattern = "(.+)_(.+)")
which looks like:
> data.frame(df3)
Station HC Treatment T X0 X12 X24
1 Stn01 Alkanes Control Avg 6.62149136 6.47352880 6.39380797
2 Stn01 Alkanes Control Std 0.11631567 0.09578875 0.24823024
3 Stn11 Alkanes Control Avg 6.81994541 7.33321187 8.10487346
4 Stn11 Alkanes Control Std 0.97902331 0.38905367 0.57856444
5 Stn20 Alkanes Control Avg 0.00000000 0.00000000 0.00000000
6 Stn20 Alkanes Control Std 0.00000000 0.00000000 0.00000000
7 Stn01 Alkylated PAHs Control Avg 0.00000000 0.00000000 0.00000000
8 Stn01 Alkylated PAHs Control Std 0.00000000 0.00000000 0.00000000
9 Stn11 Alkylated PAHs Control Avg 0.00000000 2.60990199 0.00000000
10 Stn11 Alkylated PAHs Control Std 0.00000000 4.52048285 0.00000000
11 Stn20 Alkylated PAHs Control Avg 0.00000000 0.00000000 0.00000000
12 Stn20 Alkylated PAHs Control Std 0.00000000 0.00000000 0.00000000
13 Stn01 PAHs Control Avg 0.00000000 0.00000000 0.00000000
14 Stn01 PAHs Control Std 0.00000000 0.00000000 0.00000000
15 Stn11 PAHs Control Avg 0.00000000 1.86372451 3.50541914
16 Stn11 PAHs Control Std 0.00000000 3.22806554 3.07915940
17 Stn20 PAHs Control Avg 0.00000000 0.00000000 0.00000000
18 Stn20 PAHs Control Std 0.00000000 0.00000000 0.00000000
19 Stn01 Alkanes Diesel Avg 11.72958402 11.80209328 10.54862335
20 Stn01 Alkanes Diesel Std 1.35398125 1.17725691 1.16186598
21 Stn11 Alkanes Diesel Avg 10.92060319 11.94256329 10.92367974
22 Stn11 Alkanes Diesel Std 0.42274728 0.98408961 0.40809327
23 Stn20 Alkanes Diesel Avg 10.98436446 9.79922160 9.35134631
24 Stn20 Alkanes Diesel Std 0.29144447 0.26435254 0.42947220
25 Stn01 Alkylated PAHs Diesel Avg 7.96062743 8.66233907 7.78449583
26 Stn01 Alkylated PAHs Diesel Std 1.03913361 0.18208836 0.18994927
27 Stn11 Alkylated PAHs Diesel Avg 6.70584215 9.31923747 8.26730687
28 Stn11 Alkylated PAHs Diesel Std 0.85510317 0.49239843 0.38986263
29 Stn20 Alkylated PAHs Diesel Avg 6.89549063 8.38874445 7.76461313
30 Stn20 Alkylated PAHs Diesel Std 0.45383586 0.12780268 0.08532223
31 Stn01 PAHs Diesel Avg 3.96854703 6.26384860 5.63604479
32 Stn01 PAHs Diesel Std 3.44357627 0.36819129 0.24033814
33 Stn11 PAHs Diesel Avg 2.95271069 7.21540928 6.68668797
34 Stn11 PAHs Diesel Std 2.55827327 0.15640465 0.14949982
35 Stn20 PAHs Diesel Avg 0.00000000 6.44436715 5.63778692
36 Stn20 PAHs Diesel Std 0.00000000 0.06357132 0.06769244
37 Stn01 Alkanes Heidrun Avg 9.57887411 8.92979662 8.28476115
38 Stn01 Alkanes Heidrun Std 0.88330482 0.03025275 0.26987942
39 Stn11 Alkanes Heidrun Avg 10.73362302 8.49074639 8.83844980
40 Stn11 Alkanes Heidrun Std 0.23269887 0.40459069 0.05919360
41 Stn20 Alkanes Heidrun Avg 10.79162539 0.00000000 1.67766123
42 Stn20 Alkanes Heidrun Std 0.09164511 0.00000000 2.90579449
43 Stn01 Alkylated PAHs Heidrun Avg 9.36734404 10.08286909 9.25967823
44 Stn01 Alkylated PAHs Heidrun Std 1.72094653 0.29415459 0.12171481
45 Stn11 Alkylated PAHs Heidrun Avg 10.78431489 10.41752705 9.99321187
46 Stn11 Alkylated PAHs Heidrun Std 0.22800645 0.15014292 0.23598037
47 Stn20 Alkylated PAHs Heidrun Avg 10.88999289 9.70061710 9.19696402
48 Stn20 Alkylated PAHs Heidrun Std 0.09649378 0.11036149 0.04600598
49 Stn01 PAHs Heidrun Avg 6.99618256 8.58295623 7.93167597
50 Stn01 PAHs Heidrun Std 1.79284347 0.07869598 0.15300706
51 Stn11 PAHs Heidrun Avg 8.48875658 9.10230450 8.66406137
52 Stn11 PAHs Heidrun Std 0.23205968 0.12085427 0.29644743
53 Stn20 PAHs Heidrun Avg 8.48773598 8.47361792 8.04441609
54 Stn20 PAHs Heidrun Std 0.08710327 0.07944757 0.06751443
X36 X48 X60 X72
1 6.37581409 6.49423746 6.2220630 6.84441527
2 0.46547541 0.60114917 0.8245679 0.02202778
3 8.06212529 7.90438240 7.9566169 7.14820084
4 0.62644411 0.31320345 0.6119121 0.40366363
5 3.82134939 0.00000000 6.5642254 7.48634072
6 3.34649990 0.00000000 0.2153915 0.20436615
7 0.00000000 0.00000000 0.0000000 0.00000000
8 0.00000000 0.00000000 0.0000000 0.00000000
9 2.25277172 0.00000000 0.0000000 0.00000000
10 3.90191507 0.00000000 0.0000000 0.00000000
11 0.00000000 0.00000000 0.0000000 0.00000000
12 0.00000000 0.00000000 0.0000000 0.00000000
13 0.00000000 0.00000000 0.0000000 0.00000000
14 0.00000000 0.00000000 0.0000000 0.00000000
15 4.86369268 4.88697124 5.4458867 4.71720123
16 0.32386366 0.35810888 0.6603485 0.31915071
17 0.00000000 0.00000000 0.0000000 0.00000000
18 0.00000000 0.00000000 0.0000000 0.00000000
19 10.03558621 10.24418752 10.1465365 10.24446485
20 1.32654703 0.13859883 0.5670670 0.55938128
21 9.12604286 9.46979080 9.4638110 8.45668687
22 0.27721105 0.88096328 1.0336134 0.89304467
23 9.39701364 8.27615927 8.0494232 9.89208899
24 1.62881745 0.28532815 0.3084401 0.49382239
25 7.37675286 7.23048413 7.0028904 6.77910269
26 0.15882542 0.50120409 0.1564633 0.61029703
27 7.14758793 7.26804504 5.8579229 4.01163446
28 0.30608563 0.49381914 1.2959088 3.47682181
29 7.47699006 6.73770441 1.9512223 4.03477721
30 0.47485073 0.35296976 3.3796162 3.51395767
31 4.76806239 4.55126464 1.4799806 0.00000000
32 0.10433426 0.15052789 2.5634015 0.00000000
33 6.23700192 6.20833318 5.9285554 3.55772271
34 0.13335497 0.18293420 0.2673771 3.08687868
35 4.83348946 2.99566227 0.0000000 0.00000000