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2 detailed summary tables of results

 2.1 Detailed conclusion table per each integral for all CAS systems
 2.2 Detailed conclusion table specific for Rubi results

2.1 Detailed conclusion table per each integral for all CAS systems

Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.

In this table,the column normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 151 1229 0 1230 6156 1 201
normalized size 1 1. 0.8 6.5 0. 6.51 32.57 0.01 1.06
time (sec) N/A 0.514 0.532 0.012 0. 0.264 9.616 0.227 75.522
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 115 711 0 718 3373 1 146
normalized size 1 1. 0.8 4.94 0. 4.99 23.42 0.01 1.01
time (sec) N/A 0.352 0.294 0.01 0. 0.267 5.566 0.218 53.538
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 73 321 0 317 1515 732 92
normalized size 1 1. 0.75 3.31 0. 3.27 15.62 7.55 0.95
time (sec) N/A 0.184 0.108 0.006 0. 0.254 3.045 0.224 32.054
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 43 111 0 127 459 258 51
normalized size 1 1. 0.72 1.85 0. 2.12 7.65 4.3 0.85
time (sec) N/A 0.093 0.064 0.005 0. 0.254 1.449 0.216 15.105
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 121 0 0 0 428 0 99
normalized size 1 1. 1.03 0. 0. 0. 3.63 0. 0.84
time (sec) N/A 0.26 0.208 0.056 0. 0. 21.847 0. 39.714
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 121 0 0 0 2076 0 148
normalized size 1 1. 0.71 0. 0. 0. 12.14 0. 0.87
time (sec) N/A 0.61 0.217 0.063 0. 0. 151.22 0. 46.006
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 121 0 0 0 0 0 194
normalized size 1 1. 0.58 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.792 0.231 0.085 0. 0. 0. 0. 49.622
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 292 292 247 2443 0 2310 12199 1 323
normalized size 1 1. 0.85 8.37 0. 7.91 41.78 0. 1.11
time (sec) N/A 0.716 1.058 0.014 0. 0.263 18.81 0.247 168.82
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 216 216 178 1471 0 1408 7019 1 235
normalized size 1 1. 0.82 6.81 0. 6.52 32.5 0. 1.09
time (sec) N/A 0.56 0.779 0.012 0. 0.265 11.02 0.229 104.884
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 115 711 0 668 3373 1 146
normalized size 1 1. 0.8 4.94 0. 4.64 23.42 0.01 1.01
time (sec) N/A 0.334 0.358 0.01 0. 0.261 5.626 0.22 53.628
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 67 263 0 293 1137 578 82
normalized size 1 1. 0.74 2.89 0. 3.22 12.49 6.35 0.9
time (sec) N/A 0.159 0.068 0.008 0. 0.253 2.804 0.223 24.899
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 170 0 0 0 666 0 168
normalized size 1 1. 0.96 0. 0. 0. 3.74 0. 0.94
time (sec) N/A 0.446 0.425 0.068 0. 0. 47.235 0. 84.392
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 170 0 0 0 0 0 0
normalized size 1 1. 0.69 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.114 0.497 0.079 0. 0. 0. 0. 0.
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 292 292 170 0 0 0 0 0 274
normalized size 1 1. 0.58 0. 0. 0. 0. 0. 0.94
time (sec) N/A 1.127 0.48 0.1 0. 0. 0. 0. 106.696
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 379 379 327 3953 0 3587 0 1 0
normalized size 1 1. 0.86 10.43 0. 9.46 0. 0. 0.
time (sec) N/A 1.125 2.122 0.015 0. 0.278 0. 0.254 0.
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 284 239 2443 0 2282 12199 1 323
normalized size 1 1. 0.84 8.6 0. 8.04 42.95 0. 1.14
time (sec) N/A 0.745 1.304 0.014 0. 0.267 18.886 0.241 166.558
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 151 1229 0 1130 6156 1 201
normalized size 1 1. 0.8 6.5 0. 5.98 32.57 0.01 1.06
time (sec) N/A 0.483 0.699 0.011 0. 0.267 9.693 0.225 73.487
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 90 475 0 514 2220 1017 110
normalized size 1 1. 0.74 3.93 0. 4.25 18.35 8.4 0.91
time (sec) N/A 0.23 0.105 0.01 0. 0.261 4.834 0.244 31.192
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 258 258 218 0 0 0 911 0 0
normalized size 1 1. 0.84 0. 0. 0. 3.53 0. 0.
time (sec) N/A 0.703 0.781 0.051 0. 0. 96.321 0. 0.
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 347 347 218 0 0 0 0 0 0
normalized size 1 1. 0.63 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.628 0.832 0.062 0. 0. 0. 0. 0.
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 480 480 218 0 0 0 0 0 0
normalized size 1 1. 0.45 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.911 0.856 0.075 0. 0. 0. 0. 0.
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 363 363 270 0 0 0 1132 0 0
normalized size 1 1. 0.74 0. 0. 0. 3.12 0. 0.
time (sec) N/A 0.941 2.738 0.054 0. 0. 171.43 0. 0.
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 260 260 218 0 0 0 911 0 0
normalized size 1 1. 0.84 0. 0. 0. 3.5 0. 0.
time (sec) N/A 0.644 0.8 0.052 0. 0. 97.454 0. 0.
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 170 0 0 0 666 0 168
normalized size 1 1. 0.94 0. 0. 0. 3.7 0. 0.93
time (sec) N/A 0.441 0.482 0.068 0. 0. 47.976 0. 83.078
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 121 0 0 0 428 0 99
normalized size 1 1. 1.01 0. 0. 0. 3.57 0. 0.82
time (sec) N/A 0.257 0.202 0.055 0. 0. 22.052 0. 40.529
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 58 0 0 0 204 0 56
normalized size 1 1. 0.75 0. 0. 0. 2.65 0. 0.73
time (sec) N/A 0.116 0.069 0.066 0. 0. 7.962 0. 14.052
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 100 0 0 0 0 0 94
normalized size 1 1. 0.8 0. 0. 0. 0. 0. 0.75
time (sec) N/A 0.34 0.163 0.074 0. 0. 0. 0. 43.501
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 206 206 377 0 0 0 0 0 0
normalized size 1 1. 1.83 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.025 0.991 0.1 0. 0. 0. 0. 0.
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 342 342 377 0 0 0 0 0 0
normalized size 1 1. 1.1 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.066 0.715 0.086 0. 0. 0. 0. 0.
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 340 340 218 0 0 0 0 0 0
normalized size 1 1. 0.64 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.853 0.861 0.063 0. 0. 0. 0. 0.
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 246 246 170 0 0 0 0 0 0
normalized size 1 1. 0.69 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.096 0.467 0.075 0. 0. 0. 0. 0.
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 121 0 0 0 2076 0 148
normalized size 1 1. 0.71 0. 0. 0. 12.14 0. 0.87
time (sec) N/A 0.607 0.213 0.063 0. 0. 152.577 0. 44.888
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 81 0 0 0 954 0 78
normalized size 1 1. 0.79 0. 0. 0. 9.26 0. 0.76
time (sec) N/A 0.155 0.087 0.074 0. 0. 68.88 0. 16.303
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 205 205 377 0 0 0 0 0 0
normalized size 1 1. 1.84 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.048 0.976 0.102 0. 0. 0. 0. 0.
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 304 304 375 0 0 0 0 0 0
normalized size 1 1. 1.23 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.042 0.856 0.079 0. 0. 0. 0. 0.
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 491 491 379 0 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0. 0.
time (sec) N/A 4.053 1.481 0.109 0. 0. 0. 0. 0.
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 433 433 218 0 0 0 0 0 0
normalized size 1 1. 0.5 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.906 0.943 0.076 0. 0. 0. 0. 0.
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 292 292 170 0 0 0 0 0 286
normalized size 1 1. 0.58 0. 0. 0. 0. 0. 0.98
time (sec) N/A 1.12 0.48 0.1 0. 0. 0. 0. 114.425
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 208 121 0 0 0 0 0 194
normalized size 1 1. 0.58 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.804 0.229 0.086 0. 0. 0. 0. 48.151
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 81 0 0 0 0 0 80
normalized size 1 1. 0.79 0. 0. 0. 0. 0. 0.78
time (sec) N/A 0.153 0.091 0.079 0. 0. 0. 0. 16.626
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 333 333 377 0 0 0 0 0 0
normalized size 1 1. 1.13 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.086 1.007 0.089 0. 0. 0. 0. 0.
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 452 452 379 0 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0. 0.
time (sec) N/A 3.591 1.133 0.114 0. 0. 0. 0. 0.
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 665 665 375 0 0 0 0 0 0
normalized size 1 1. 0.56 0. 0. 0. 0. 0. 0.
time (sec) N/A 6.368 1.945 0.11 0. 0. 0. 0. 0.
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1059 1047 248 0 0 0 0 0 0
normalized size 1 0.99 0.23 0. 0. 0. 0. 0. 0.
time (sec) N/A 6.632 0.868 0.111 0. 0. 0. 0. 0.
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 495 464 198 0 0 0 0 0 0
normalized size 1 0.94 0.4 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.934 0.547 0.094 0. 0. 0. 0. 0.
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 253 238 147 0 0 0 0 0 0
normalized size 1 0.94 0.58 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.616 0.226 0.08 0. 0. 0. 0. 0.
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 162 162 446 0 0 0 0 0 124
normalized size 1 1. 2.75 0. 0. 0. 0. 0. 0.77
time (sec) N/A 0.446 0.757 0.09 0. 0. 0. 0. 66.484
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 295 295 403 0 0 0 0 0 0
normalized size 1 1. 1.37 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.222 1.4 0.096 0. 0. 0. 0. 0.
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 483 483 403 0 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.894 1.705 0.116 0. 0. 0. 0. 0.
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 103 112 0 1 160 153 83
normalized size 1 1. 1.23 1.33 0. 0.01 1.9 1.82 0.99
time (sec) N/A 0.25 0.271 0.013 0. 0.269 19.467 0.221 21.38
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 103 112 0 1 160 153 83
normalized size 1 1. 1.23 1.33 0. 0.01 1.9 1.82 0.99
time (sec) N/A 0.254 0.299 0.01 0. 0.277 20.331 0.22 20.668

2.2 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [48] had the largest ratio of [ 0.1935 ]

Table 1: Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)
1 A 2 1 1. 29 0.034
2 A 2 1 1. 29 0.034
3 A 2 1 1. 27 0.037
4 A 2 1 1. 20 0.05
5 A 3 2 1. 29 0.069
6 A 3 3 1. 29 0.103
7 A 3 3 1. 29 0.103
8 A 2 1 1. 31 0.032
9 A 2 1 1. 31 0.032
10 A 2 1 1. 29 0.034
11 A 2 1 1. 22 0.045
12 A 3 2 1. 31 0.065
13 A 4 3 1. 31 0.097
14 A 4 3 1. 31 0.097
15 A 2 1 1. 31 0.032
16 A 2 1 1. 31 0.032
17 A 2 1 1. 29 0.034
18 A 2 1 1. 22 0.045
19 A 3 2 1. 31 0.065
20 A 4 3 1. 31 0.097
21 A 5 3 1. 31 0.097
22 A 3 2 1. 31 0.065
23 A 3 2 1. 31 0.065
24 A 3 2 1. 31 0.065
25 A 3 2 1. 29 0.069
26 A 2 2 1. 22 0.091
27 A 4 2 1. 31 0.065
28 A 5 3 1. 31 0.097
29 A 6 3 1. 31 0.097
30 A 4 3 1. 31 0.097
31 A 4 3 1. 31 0.097
32 A 3 3 1. 29 0.103
33 A 2 2 1. 22 0.091
34 A 5 3 1. 31 0.097
35 A 6 3 1. 31 0.097
36 A 7 3 1. 31 0.097
37 A 5 3 1. 31 0.097
38 A 4 3 1. 31 0.097
39 A 3 3 1. 29 0.103
40 A 2 2 1. 22 0.091
41 A 6 3 1. 31 0.097
42 A 7 3 1. 31 0.097
43 A 8 3 1. 31 0.097
44 A 6 4 0.99 31 0.129
45 A 5 4 0.94 31 0.129
46 A 4 4 0.94 29 0.138
47 A 6 5 1. 31 0.161
48 A 7 6 1. 31 0.194
49 A 8 6 1. 31 0.194
50 A 5 5 1. 29 0.172
51 A 5 5 1. 29 0.172

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