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8/9/2019 Appendix a for Item 1
1/5
Appendix A (Fixed Point Iteration for item # 1)
Values of -100 -50 -20 -5 -2 -1 -0.8 -0.5 -0.2 0 0.2 0.5 0.8 1 2 5 20 50 100
ate 0 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50
1 0.99 0.98 0.95 0.8 0.51 0 -0.26 -1.04 -4.44 50 5.45 2.88 2.2 1.96 1.49 1.2 1.05 1.02 1.012 1 1 1 1.07 50 0 -0.04 -0.34 -1.88 50 3.13 1.77 1.43 1.32 1.12 1.03 1 1 13 1 1 1 0.98 0.51 0 -0.01 -0.15 -1.09 50 2.31 1.41 1.2 1.14 1.04 1 1 1 14 1 1 1 1 50 0 0 -0.07 -0.72 50 1.9 1.24 1.1 1.07 1.01 1 1 1 15 1 1 1 1 0.51 0 0 -0.03 -0.5 50 1.65 1.15 1.05 1.03 1 1 1 1 16 1 1 1 1 50 0 0 -0.02 -0.37 50 1.49 1.09 1.03 1.02 1 1 1 1 17 1 1 1 1 0.51 0 0 -0.01 -0.27 50 1.38 1.06 1.02 1.01 1 1 1 1 18
1 1 1 1 50 0 0 0 -0.21 50 1.3 1.04 1.01 1 1 1 1 1 19 1 1 1 1 0.51 0 0 0 -0.16 50 1.23 1.03 1 1 1 1 1 1 110 1 1 1 1 50 0 0 0 -0.12 50 1.19 1.02 1 1 1 1 1 1 111 1 1 1 1 0.51 0 0 0 -0.1 50 1.15 1.01 1 1 1 1 1 1 112 1 1 1 1 50 0 0 0 -0.08 50 1.12 1.01 1 1 1 1 1 1 113 1 1 1 1 0.51 0 0 0 -0.06 50 1.1 1.01 1 1 1 1 1 1 114 1 1 1 1 50 0 0 0 -0.05 50 1.08 1 1 1 1 1 1 1 115 1 1 1 1 0.51 0 0 0 -0.04 50 1.07 1 1 1 1 1 1 1 116 1 1 1 1 50 0 0 0 -0.03 50 1.06 1 1 1 1 1 1 1 117 1 1 1 1 0.51 0 0 0 -0.02 50 1.05 1 1 1 1 1 1 1 118 1 1 1 1 50 0 0 0 -0.02 50 1.04 1 1 1 1 1 1 1 119 1 1 1 1 0.51 0 0 0 -0.01 50 1.03 1 1 1 1 1 1 1 120 1 1 1 1 50 0 0 0 -0.01 50 1.03 1 1 1 1 1 1 1 121 1 1 1 1 0.51 0 0 0 -0.01 50 1.02 1 1 1 1 1 1 1 122
1 1 1 1 50 0 0 0 -0.01 50 1.02 1 1 1 1 1 1 1 123 1 1 1 1 0.51 0 0 0 -0.01 50 1.02 1 1 1 1 1 1 1 124 1 1 1 1 50 0 0 0 0 50 1.01 1 1 1 1 1 1 1 125 1 1 1 1 0.51 0 0 0 0 50 1.01 1 1 1 1 1 1 1 126 1 1 1 1 50 0 0 0 0 50 1.01 1 1 1 1 1 1 1 127 1 1 1 1 0.51 0 0 0 0 50 1.01 1 1 1 1 1 1 1 128 1 1 1 1 50 0 0 0 0 50 1.01 1 1 1 1 1 1 1 129 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 130 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 131 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 132 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 133 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 134 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 135 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 136
1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 137 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 138 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 139 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 140 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 141 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 142 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 143 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 144 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 145 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 146 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 147 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 148 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 149 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 1
50 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 151 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 152 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 153 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 154 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 155 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 156 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 157 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 158 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 159 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 160 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 161 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 162 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 163 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 1
64 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 165 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 166 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 167 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 168 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 169 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 170 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 171 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 172 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 173 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 174 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 175 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 176 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 177 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 1
78 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 179 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 180 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 181 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 182 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 183 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 184 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 185 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 186 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 187 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 188 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 189 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 190 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 191 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 1
92 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 193 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 194 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 195 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 196 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 197 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 198 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 199 1 1 1 1 0.51 0 0 0 0 50 1 1 1 1 1 1 1 1 1
100 1 1 1 1 50 0 0 0 0 50 1 1 1 1 1 1 1 1 1stable stable stable stable periodic stable stable stable stable stable stable stable stable stable stable stable stable stable stableN*=1 N*=1 N*=1 N*=1 N*=0 N*=0 N*=0 N*=0 N*=N(0) N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1
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8/9/2019 Appendix a for Item 1
2/5
Appendix A (Fixed Point Iteration for item # 1)
Values -100 -50 -20 -5 -2 -1 -0.8 -0.5 -0.2 0 0.2 0.5 0.8 1 2 5 20 50 100
e 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 12 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 13 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 14 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 15 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 16 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 17 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 18 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 19 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 1
10 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 111 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 112 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 113 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 114 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 115 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 116 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 117 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 118 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 119 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 120 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 121 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 122
1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 123 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 124 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 125 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 126 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 127 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 128 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 129 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 130 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 131 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 132 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 133 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 134 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 135 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 136
1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 137 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 138 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 139 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 140 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 141 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 142 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 143 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 144 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 145 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 146 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 147 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 148 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 149 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 1
50 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 151 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 152 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 153 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 154 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 155 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 156 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 157 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 158 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 159 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 160 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 161 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 162 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 163 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 1
64 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 165 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 166 1 1 1 1 1 ### 1 1 1 1 1 1 1 1 1 1 1 1 167 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 168 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 169 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 170 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 171 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 172 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 173 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 174 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 175 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 176 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 177 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 1
78 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 179 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 180 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 181 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 182 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 183 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 184 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 185 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 186 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 187 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 188 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 189 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 190 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 191 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 1
92 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 193 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 194 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 195 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 196 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 197 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 198 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 199 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 1
100 1 1 1 1 1 #DIV/0! 1 1 1 1 1 1 1 1 1 1 1 1 1stable stable stable stable stable unstable stable stable stable stable stable stable stable stable stable stable stable stable stableN*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1
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8/9/2019 Appendix a for Item 1
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Appendix A (Fixed Point Iteration for item # 1)
Values -100 -50 -20 -5 -2 -1 -0.8 -0.5 -0.2 0 0.2 0.5 0.8 1 2 5 20 50 100
e 0 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5
1 1.01 1.02 1.06 1.33 #DIV/0! 0 0.17 0.33 0.44 0.5 0.55 0.6 0.64 0.67 0.75 0.86 0.95 0.98 0.992 1 1 1 0.94 #DIV/0! 0 0.04 0.2 0.39 0.5 0.59 0.69 0.76 0.8 0.9 0.97 1 1 13 1 1 1 1.02 #DIV/0! 0 0.01 0.11 0.34 0.5 0.63 0.77 0.85 0.89 0.96 1 1 1 14 1 1 1 1 #DIV/0! 0 0 0.06 0.29 0.5 0.67 0.84 0.91 0.94 0.99 1 1 1 15 1 1 1 1 #DIV/0! 0 0 0.03 0.25 0.5 0.71 0.88 0.95 0.97 1 1 1 1 16 1 1 1 1 #DIV/0! 0 0 0.02 0.21 0.5 0.75 0.92 0.97 0.98 1 1 1 1 17 1 1 1 1 #DIV/0! 0 0 0.01 0.17 0.5 0.78 0.94 0.98 0.99 1 1 1 1 18 1 1 1 1 #DIV/0! 0 0 0 0.14 0.5 0.81 0.96 0.99 1 1 1 1 1 19 1 1 1 1 #DIV/0! 0 0 0 0.12 0.5 0.84 0.97 0.99 1 1 1 1 1 1
10 1 1 1 1 #DIV/0! 0 0 0 0.1 0.5 0.86 0.98 1 1 1 1 1 1 111 1 1 1 1 #DIV/0! 0 0 0 0.08 0.5 0.88 0.99 1 1 1 1 1 1 112 1 1 1 1 #DIV/0! 0 0 0 0.06 0.5 0.9 0.99 1 1 1 1 1 1 113 1 1 1 1 #DIV/0! 0 0 0 0.05 0.5 0.91 0.99 1 1 1 1 1 1 114 1 1 1 1 #DIV/0! 0 0 0 0.04 0.5 0.93 1 1 1 1 1 1 1 115 1 1 1 1 #DIV/0! 0 0 0 0.03 0.5 0.94 1 1 1 1 1 1 1 116 1 1 1 1 #DIV/0! 0 0 0 0.03 0.5 0.95 1 1 1 1 1 1 1 117 1 1 1 1 #DIV/0! 0 0 0 0.02 0.5 0.96 1 1 1 1 1 1 1 118 1 1 1 1 #DIV/0! 0 0 0 0.02 0.5 0.96 1 1 1 1 1 1 1 119 1 1 1 1 #DIV/0! 0 0 0 0.01 0.5 0.97 1 1 1 1 1 1 1 120 1 1 1 1 #DIV/0! 0 0 0 0.01 0.5 0.97 1 1 1 1 1 1 1 121 1 1 1 1 #DIV/0! 0 0 0 0.01 0.5 0.98 1 1 1 1 1 1 1 122
1 1 1 1 #DIV/0! 0 0 0 0.01 0.5 0.98 1 1 1 1 1 1 1 123 1 1 1 1 #DIV/0! 0 0 0 0.01 0.5 0.99 1 1 1 1 1 1 1 124 1 1 1 1 #DIV/0! 0 0 0 0 0.5 0.99 1 1 1 1 1 1 1 125 1 1 1 1 #DIV/0! 0 0 0 0 0.5 0.99 1 1 1 1 1 1 1 126 1 1 1 1 #DIV/0! 0 0 0 0 0.5 0.99 1 1 1 1 1 1 1 127 1 1 1 1 #DIV/0! 0 0 0 0 0.5 0.99 1 1 1 1 1 1 1 128 1 1 1 1 #DIV/0! 0 0 0 0 0.5 0.99 1 1 1 1 1 1 1 129 1 1 1 1 #DIV/0! 0 0 0 0 0.5 0.99 1 1 1 1 1 1 1 130 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 131 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 132 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 133 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 134 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 135 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 136
1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 137 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 138 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 139 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 140 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 141 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 142 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 143 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 144 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 145 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 146 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 147 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 148 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 149 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 1
50 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 151 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 152 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 153 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 154 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 155 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 156 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 157 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 158 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 159 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 160 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 161 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 162 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 163 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 1
64 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 165 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 166 1 1 1 1 ### 0 0 0 0 0.5 1 1 1 1 1 1 1 1 167 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 168 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 169 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 170 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 171 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 172 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 173 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 174 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 175 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 176 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 177 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 1
78 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 179 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 180 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 181 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 182 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 183 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 184 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 185 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 186 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 187 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 188 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 189 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 190 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 191 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 1
92 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 193 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 194 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 195 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 196 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 197 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 198 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 199 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 1
100 1 1 1 1 #DIV/0! 0 0 0 0 0.5 1 1 1 1 1 1 1 1 1stable stable stable stable unstable stable stable stable stable stable stable stable stable stable stable stable stable stable stableN*=1 N*=1 N*=1 N*=1 N*=0 N*=0 N*=0 N*=0 N*=N(0) N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1
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8/9/2019 Appendix a for Item 1
4/5
Appendix A (Fixed Point Iteration for item # 1)
Values -100 -50 -20 -5 -2 -1 -0.8 -0.5 -0.2 0 0.2 0.5 0.8 1 2 5 20 50 100
e 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
1 0.98 0.96 0.9 0.67 0.33 0 -0.11 -0.33 -0.67 -1 -1.5 -3 -9 #DIV/0! 3 1.5 1.11 1.04 1.022 1 1 1.01 1.14 -1 0 -0.02 -0.14 -0.47 -1 -2.57 9 2.61 #DIV/0! 1.29 1.06 1 1 13 1 1 1 0.97 0.33 0 0 -0.07 -0.34 -1 -6.35 2.45 1.52 #DIV/0! 1.08 1.01 1 1 14 1 1 1 1.01 -1 0 0 -0.03 -0.26 -1 28.17 1.65 1.24 #DIV/0! 1.03 1 1 1 15 1 1 1 1 0.33 0 0 -0.02 -0.2 -1 5.1 1.36 1.12 #DIV/0! 1.01 1 1 1 16 1 1 1 1 -1 0 0 -0.01 -0.15 -1 3.03 1.21 1.06 #DIV/0! 1 1 1 1 17 1 1 1 1 0.33 0 0 0 -0.12 -1 2.26 1.13 1.03 #DIV/0! 1 1 1 1 18 1 1 1 1 -1 0 0 0 -0.09 -1 1.87 1.08 1.02 #DIV/0! 1 1 1 1 19 1 1 1 1 0.33 0 0 0 -0.07 -1 1.63 1.05 1.01 #DIV/0! 1 1 1 1 1
10 1 1 1 1 -1 0 0 0 -0.06 -1 1.48 1.04 1.01 #DIV/0! 1 1 1 1 111 1 1 1 1 0.33 0 0 0 -0.04 -1 1.37 1.02 1 #DIV/0! 1 1 1 1 112 1 1 1 1 -1 0 0 0 -0.04 -1 1.29 1.02 1 #DIV/0! 1 1 1 1 113 1 1 1 1 0.33 0 0 0 -0.03 -1 1.23 1.01 1 #DIV/0! 1 1 1 1 114 1 1 1 1 -1 0 0 0 -0.02 -1 1.18 1.01 1 #DIV/0! 1 1 1 1 115 1 1 1 1 0.33 0 0 0 -0.02 -1 1.15 1 1 #DIV/0! 1 1 1 1 116 1 1 1 1 -1 0 0 0 -0.01 -1 1.12 1 1 #DIV/0! 1 1 1 1 117 1 1 1 1 0.33 0 0 0 -0.01 -1 1.1 1 1 #DIV/0! 1 1 1 1 118 1 1 1 1 -1 0 0 0 -0.01 -1 1.08 1 1 #DIV/0! 1 1 1 1 119 1 1 1 1 0.33 0 0 0 -0.01 -1 1.07 1 1 #DIV/0! 1 1 1 1 120 1 1 1 1 -1 0 0 0 -0.01 -1 1.06 1 1 #DIV/0! 1 1 1 1 121 1 1 1 1 0.33 0 0 0 0 -1 1.05 1 1 #DIV/0! 1 1 1 1 122
1 1 1 1 -1 0 0 0 0 -1 1.04 1 1 #DIV/0! 1 1 1 1 123 1 1 1 1 0.33 0 0 0 0 -1 1.03 1 1 #DIV/0! 1 1 1 1 124 1 1 1 1 -1 0 0 0 0 -1 1.03 1 1 #DIV/0! 1 1 1 1 125 1 1 1 1 0.33 0 0 0 0 -1 1.02 1 1 #DIV/0! 1 1 1 1 126 1 1 1 1 -1 0 0 0 0 -1 1.02 1 1 #DIV/0! 1 1 1 1 127 1 1 1 1 0.33 0 0 0 0 -1 1.01 1 1 #DIV/0! 1 1 1 1 128 1 1 1 1 -1 0 0 0 0 -1 1.01 1 1 #DIV/0! 1 1 1 1 129 1 1 1 1 0.33 0 0 0 0 -1 1.01 1 1 #DIV/0! 1 1 1 1 130 1 1 1 1 -1 0 0 0 0 -1 1.01 1 1 #DIV/0! 1 1 1 1 131 1 1 1 1 0.33 0 0 0 0 -1 1.01 1 1 #DIV/0! 1 1 1 1 132 1 1 1 1 -1 0 0 0 0 -1 1.01 1 1 #DIV/0! 1 1 1 1 133 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 134 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 135 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 136
1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 137 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 138 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 139 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 140 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 141 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 142 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 143 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 144 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 145 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 146 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 147 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 148 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 149 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 1
50 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 151 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 152 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 153 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 154 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 155 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 156 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 157 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 158 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 159 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 160 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 161 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 162 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 163 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 1
64 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 165 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 166 1 1 1 1 -1 0 0 0 0 -1 1 1 1 ### 1 1 1 1 167 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 168 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 169 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 170 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 171 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 172 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 173 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 174 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 175 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 176 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 177 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 1
78 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 179 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 180 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 181 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 182 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 183 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 184 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 185 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 186 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 187 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 188 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 189 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 190 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 191 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 1
92 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 193 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 194 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 195 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 196 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 197 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 198 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 199 1 1 1 1 0.33 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 1
100 1 1 1 1 -1 0 0 0 0 -1 1 1 1 #DIV/0! 1 1 1 1 1stable stable stable stable periodic stable stable stable stable stable stable stable stable unstable stable stable stable stable stableN*=1 N*=1 N*=1 N*=1 N*=0 N*=0 N*=0 N*=0 N*=N(0) N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1
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8/9/2019 Appendix a for Item 1
5/5
Appendix A (Fixed Point Iteration for item # 1)
Values -100 -50 -20 -5 -2 -1 -0.8 -0.5 -0.2 0 0.2 0.5 0.8 1 2 5 20 50 100
e 0 -50 -50 -50 -50 -50 -50 -50 -50 -50 -50 -50 -50 -50 -50 -50 -50 -50 -50 -50
1 0.99 0.98 0.95 0.8 0.5 0 -0.24 -0.96 -3.64 -50 6.67 3.13 2.31 2.04 1.52 1.2 1.05 1.02 1.012 1 1 1 1.07 -50 0 -0.04 -0.32 -1.68 -50 3.43 1.83 1.46 1.34 1.13 1.03 1 1 13 1 1 1 0.98 0.5 0 -0.01 -0.14 -1.01 -50 2.44 1.43 1.21 1.15 1.04 1 1 1 14 1 1 1 1 -50 0 0 -0.07 -0.67 -50 1.97 1.25 1.11 1.07 1.01 1 1 1 15 1 1 1 1 0.5 0 0 -0.03 -0.47 -50 1.69 1.16 1.06 1.03 1 1 1 1 16 1 1 1 1 -50 0 0 -0.02 -0.35 -50 1.52 1.1 1.03 1.02 1 1 1 1 17 1 1 1 1 0.5 0 0 -0.01 -0.26 -50 1.4 1.06 1.02 1.01 1 1 1 1 18 1 1 1 1 -50 0 0 0 -0.2 -50 1.31 1.04 1.01 1 1 1 1 1 19 1 1 1 1 0.5 0 0 0 -0.15 -50 1.25 1.03 1.01 1 1 1 1 1 1
10 1 1 1 1 -50 0 0 0 -0.12 -50 1.2 1.02 1 1 1 1 1 1 111 1 1 1 1 0.5 0 0 0 -0.09 -50 1.16 1.01 1 1 1 1 1 1 112 1 1 1 1 -50 0 0 0 -0.07 -50 1.13 1.01 1 1 1 1 1 1 113 1 1 1 1 0.5 0 0 0 -0.06 -50 1.11 1.01 1 1 1 1 1 1 114 1 1 1 1 -50 0 0 0 -0.05 -50 1.09 1 1 1 1 1 1 1 115 1 1 1 1 0.5 0 0 0 -0.04 -50 1.07 1 1 1 1 1 1 1 116 1 1 1 1 -50 0 0 0 -0.03 -50 1.06 1 1 1 1 1 1 1 117 1 1 1 1 0.5 0 0 0 -0.02 -50 1.05 1 1 1 1 1 1 1 118 1 1 1 1 -50 0 0 0 -0.02 -50 1.04 1 1 1 1 1 1 1 119 1 1 1 1 0.5 0 0 0 -0.01 -50 1.03 1 1 1 1 1 1 1 120 1 1 1 1 -50 0 0 0 -0.01 -50 1.03 1 1 1 1 1 1 1 121 1 1 1 1 0.5 0 0 0 -0.01 -50 1.02 1 1 1 1 1 1 1 122
1 1 1 1 -50 0 0 0 -0.01 -50 1.02 1 1 1 1 1 1 1 123 1 1 1 1 0.5 0 0 0 -0.01 -50 1.02 1 1 1 1 1 1 1 124 1 1 1 1 -50 0 0 0 0 -50 1.01 1 1 1 1 1 1 1 125 1 1 1 1 0.5 0 0 0 0 -50 1.01 1 1 1 1 1 1 1 126 1 1 1 1 -50 0 0 0 0 -50 1.01 1 1 1 1 1 1 1 127 1 1 1 1 0.5 0 0 0 0 -50 1.01 1 1 1 1 1 1 1 128 1 1 1 1 -50 0 0 0 0 -50 1.01 1 1 1 1 1 1 1 129 1 1 1 1 0.5 0 0 0 0 -50 1.01 1 1 1 1 1 1 1 130 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 131 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 132 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 133 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 134 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 135 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 136
1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 137 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 138 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 139 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 140 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 141 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 142 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 143 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 144 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 145 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 146 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 147 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 148 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 149 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 1
50 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 151 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 152 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 153 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 154 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 155 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 156 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 157 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 158 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 159 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 160 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 161 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 162 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 163 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 1
64 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 165 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 166 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 167 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 168 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 169 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 170 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 171 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 172 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 173 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 174 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 175 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 176 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 177 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 1
78 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 179 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 180 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 181 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 182 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 183 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 184 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 185 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 186 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 187 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 188 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 189 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 190 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 191 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 1
92 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 193 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 194 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 195 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 196 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 197 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 198 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 199 1 1 1 1 0.5 0 0 0 0 -50 1 1 1 1 1 1 1 1 1
100 1 1 1 1 -50 0 0 0 0 -50 1 1 1 1 1 1 1 1 1stable stable stable stable periodic stable stable stable stable stable stable stable stable stable stable stable stable stable stableN*=1 N*=1 N*=1 N*=1 N*=0 N*=0 N*=0 N*=0 N*=N(0) N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1 N*=1
