main output from f10.rb

output-f10.txt

first try
n = 2, h = 0.5
x0 = 0.0, y0 = 0.5
x1 = 0.5, y1 = 1.0
  FP #1 around 0.6666666666666666 = 2/3
x2 = 1.0, y2 = 0.0
1: 2/3 = 0.6666666666666666 -> 0.6666666666666667 (delta = 1.1102230246251565e-16)
found 1 fixed points
A = { 2/3 }
$A = \left\{ \frac{2}{3} \right\}, \, |A| = 1$
partitions: 11
A1 = { 2/3 }, |A1| = 1
A2 = {  }, |A2| = 0
A3 = {  }, |A3| = 0
A4 = {  }, |A4| = 0
A5 = {  }, |A5| = 0
A6 = {  }, |A6| = 0
A7 = {  }, |A7| = 0
A8 = {  }, |A8| = 0
A9 = {  }, |A9| = 0
A10 = {  }, |A10| = 0
A11 = {  }, |A11| = 0
$A_{1} = \left\{ \frac{2}{3} \right\}, |A_{1}| = 1$
$A_{2} = \left\{  \right\}, |A_{2}| = 0$
$A_{3} = \left\{  \right\}, |A_{3}| = 0$
$A_{4} = \left\{  \right\}, |A_{4}| = 0$
$A_{5} = \left\{  \right\}, |A_{5}| = 0$
$A_{6} = \left\{  \right\}, |A_{6}| = 0$
$A_{7} = \left\{  \right\}, |A_{7}| = 0$
$A_{8} = \left\{  \right\}, |A_{8}| = 0$
$A_{9} = \left\{  \right\}, |A_{9}| = 0$
$A_{10} = \left\{  \right\}, |A_{10}| = 0$
$A_{11} = \left\{  \right\}, |A_{11}| = 0$
second try
n = 3, h = 0.3333333333333333
x0 = 0.0, y0 = 1.0
x1 = 0.3333333333333333, y1 = 0.3333333333333335
  secant close to id, using mid-point
  FP #1 around 0.5 = 1/2
x2 = 0.6666666666666666, y2 = 0.6666666666666665
x3 = 1.0, y3 = 0.5
1: 1/2 = 0.5 -> 0.0 (delta = 0.5)
found 1 fixed points
A = { 1/2 }
$A = \left\{ \frac{1}{2} \right\}, \, |A| = 1$
partitions: 11
A1 = {  }, |A1| = 0
A2 = {  }, |A2| = 0
A3 = { 1/2 }, |A3| = 1
A4 = {  }, |A4| = 0
A5 = {  }, |A5| = 0
A6 = {  }, |A6| = 0
A7 = {  }, |A7| = 0
A8 = {  }, |A8| = 0
A9 = {  }, |A9| = 0
A10 = {  }, |A10| = 0
A11 = {  }, |A11| = 0
$A_{1} = \left\{  \right\}, |A_{1}| = 0$
$A_{2} = \left\{  \right\}, |A_{2}| = 0$
$A_{3} = \left\{ \frac{1}{2} \right\}, |A_{3}| = 1$
$A_{4} = \left\{  \right\}, |A_{4}| = 0$
$A_{5} = \left\{  \right\}, |A_{5}| = 0$
$A_{6} = \left\{  \right\}, |A_{6}| = 0$
$A_{7} = \left\{  \right\}, |A_{7}| = 0$
$A_{8} = \left\{  \right\}, |A_{8}| = 0$
$A_{9} = \left\{  \right\}, |A_{9}| = 0$
$A_{10} = \left\{  \right\}, |A_{10}| = 0$
$A_{11} = \left\{  \right\}, |A_{11}| = 0$
find all FP for f_10:
n = 1024, h = 0.0009765625
x0 = 0.0, y0 = 0.5
x1 = 0.0009765625, y1 = 0.5625
x2 = 0.001953125, y2 = 0.625
x3 = 0.0029296875, y3 = 0.6875
x4 = 0.00390625, y4 = 0.75
x5 = 0.0048828125, y5 = 0.8125
x6 = 0.005859375, y6 = 0.875
x7 = 0.0068359375, y7 = 0.9375
x8 = 0.0078125, y8 = 1.0
x9 = 0.0087890625, y9 = 0.875
x10 = 0.009765625, y10 = 0.75
x11 = 0.0107421875, y11 = 0.625
x12 = 0.01171875, y12 = 0.5
x13 = 0.0126953125, y13 = 0.375
x14 = 0.013671875, y14 = 0.25
x15 = 0.0146484375, y15 = 0.125
  FP #1 around 0.015503875968992248 = 2/129
x16 = 0.015625, y16 = 0.0
  FP #2 around 0.015873015873015872 = 1/63
x17 = 0.0166015625, y17 = 0.0625
x18 = 0.017578125, y18 = 0.125
x19 = 0.0185546875, y19 = 0.1875
x20 = 0.01953125, y20 = 0.25
x21 = 0.0205078125, y21 = 0.3125
x22 = 0.021484375, y22 = 0.375
x23 = 0.0224609375, y23 = 0.4375
x24 = 0.0234375, y24 = 0.5
x25 = 0.0244140625, y25 = 0.5625
x26 = 0.025390625, y26 = 0.625
x27 = 0.0263671875, y27 = 0.6875
x28 = 0.02734375, y28 = 0.75
x29 = 0.0283203125, y29 = 0.8125
x30 = 0.029296875, y30 = 0.875
x31 = 0.0302734375, y31 = 0.9375
x32 = 0.03125, y32 = 1.0
x33 = 0.0322265625, y33 = 0.875
x34 = 0.033203125, y34 = 0.75
x35 = 0.0341796875, y35 = 0.625
x36 = 0.03515625, y36 = 0.5
x37 = 0.0361328125, y37 = 0.375
x38 = 0.037109375, y38 = 0.25
x39 = 0.0380859375, y39 = 0.125
  FP #3 around 0.03875968992248062 = 5/129
x40 = 0.0390625, y40 = 0.0
  FP #4 around 0.0392156862745098 = 2/51
x41 = 0.0400390625, y41 = 0.25
x42 = 0.041015625, y42 = 0.5
x43 = 0.0419921875, y43 = 0.75
x44 = 0.04296875, y44 = 1.0
x45 = 0.0439453125, y45 = 0.875
x46 = 0.044921875, y46 = 0.75
x47 = 0.0458984375, y47 = 0.625
x48 = 0.046875, y48 = 0.5
x49 = 0.0478515625, y49 = 0.5625
x50 = 0.048828125, y50 = 0.625
x51 = 0.0498046875, y51 = 0.6875
x52 = 0.05078125, y52 = 0.75
x53 = 0.0517578125, y53 = 0.8125
x54 = 0.052734375, y54 = 0.875
x55 = 0.0537109375, y55 = 0.9375
x56 = 0.0546875, y56 = 1.0
x57 = 0.0556640625, y57 = 0.875
x58 = 0.056640625, y58 = 0.75
x59 = 0.0576171875, y59 = 0.625
x60 = 0.05859375, y60 = 0.5
x61 = 0.0595703125, y61 = 0.375
x62 = 0.060546875, y62 = 0.25
x63 = 0.0615234375, y63 = 0.125
  FP #5 around 0.06201550387596899 = 8/129
x64 = 0.0625, y64 = 0.0
x65 = 0.0634765625, y65 = 0.0625
  FP #6 around 0.06349206349206349 = 4/63
x66 = 0.064453125, y66 = 0.125
x67 = 0.0654296875, y67 = 0.1875
x68 = 0.06640625, y68 = 0.25
x69 = 0.0673828125, y69 = 0.3125
x70 = 0.068359375, y70 = 0.375
x71 = 0.0693359375, y71 = 0.4375
x72 = 0.0703125, y72 = 0.5
x73 = 0.0712890625, y73 = 0.5625
x74 = 0.072265625, y74 = 0.625
x75 = 0.0732421875, y75 = 0.6875
x76 = 0.07421875, y76 = 0.75
x77 = 0.0751953125, y77 = 0.8125
x78 = 0.076171875, y78 = 0.875
x79 = 0.0771484375, y79 = 0.9375
x80 = 0.078125, y80 = 1.0
x81 = 0.0791015625, y81 = 0.96875
x82 = 0.080078125, y82 = 0.9375
x83 = 0.0810546875, y83 = 0.90625
x84 = 0.08203125, y84 = 0.875
x85 = 0.0830078125, y85 = 0.84375
x86 = 0.083984375, y86 = 0.8125
x87 = 0.0849609375, y87 = 0.78125
x88 = 0.0859375, y88 = 0.75
x89 = 0.0869140625, y89 = 0.71875
x90 = 0.087890625, y90 = 0.6875
x91 = 0.0888671875, y91 = 0.65625
x92 = 0.08984375, y92 = 0.625
x93 = 0.0908203125, y93 = 0.59375
x94 = 0.091796875, y94 = 0.5625
x95 = 0.0927734375, y95 = 0.53125
x96 = 0.09375, y96 = 0.5
x97 = 0.0947265625, y97 = 0.5625
x98 = 0.095703125, y98 = 0.625
x99 = 0.0966796875, y99 = 0.6875
x100 = 0.09765625, y100 = 0.75
x101 = 0.0986328125, y101 = 0.8125
x102 = 0.099609375, y102 = 0.875
x103 = 0.1005859375, y103 = 0.9375
x104 = 0.1015625, y104 = 1.0
x105 = 0.1025390625, y105 = 0.875
x106 = 0.103515625, y106 = 0.75
x107 = 0.1044921875, y107 = 0.625
x108 = 0.10546875, y108 = 0.5
x109 = 0.1064453125, y109 = 0.375
x110 = 0.107421875, y110 = 0.25
x111 = 0.1083984375, y111 = 0.125
  FP #7 around 0.10852713178294573 = 14/129
x112 = 0.109375, y112 = 0.0
x113 = 0.1103515625, y113 = 0.0625
  FP #8 around 0.1111111111111111 = 1/9
x114 = 0.111328125, y114 = 0.125
x115 = 0.1123046875, y115 = 0.1875
x116 = 0.11328125, y116 = 0.25
x117 = 0.1142578125, y117 = 0.3125
x118 = 0.115234375, y118 = 0.375
x119 = 0.1162109375, y119 = 0.4375
x120 = 0.1171875, y120 = 0.5
x121 = 0.1181640625, y121 = 0.5625
x122 = 0.119140625, y122 = 0.625
x123 = 0.1201171875, y123 = 0.6875
x124 = 0.12109375, y124 = 0.75
x125 = 0.1220703125, y125 = 0.8125
x126 = 0.123046875, y126 = 0.875
x127 = 0.1240234375, y127 = 0.9375
x128 = 0.125, y128 = 1.0
x129 = 0.1259765625, y129 = 0.875
x130 = 0.126953125, y130 = 0.75
x131 = 0.1279296875, y131 = 0.625
x132 = 0.12890625, y132 = 0.5
x133 = 0.1298828125, y133 = 0.375
x134 = 0.130859375, y134 = 0.25
  FP #9 around 0.13178294573643412 = 17/129
x135 = 0.1318359375, y135 = 0.125
x136 = 0.1328125, y136 = 0.0
  FP #10 around 0.13333333333333333 = 2/15
x137 = 0.1337890625, y137 = 0.25
x138 = 0.134765625, y138 = 0.5
x139 = 0.1357421875, y139 = 0.75
x140 = 0.13671875, y140 = 1.0
x141 = 0.1376953125, y141 = 0.875
x142 = 0.138671875, y142 = 0.75
x143 = 0.1396484375, y143 = 0.625
x144 = 0.140625, y144 = 0.5
x145 = 0.1416015625, y145 = 0.5625
x146 = 0.142578125, y146 = 0.625
x147 = 0.1435546875, y147 = 0.6875
x148 = 0.14453125, y148 = 0.75
x149 = 0.1455078125, y149 = 0.8125
x150 = 0.146484375, y150 = 0.875
x151 = 0.1474609375, y151 = 0.9375
x152 = 0.1484375, y152 = 1.0
x153 = 0.1494140625, y153 = 0.875
x154 = 0.150390625, y154 = 0.75
x155 = 0.1513671875, y155 = 0.625
x156 = 0.15234375, y156 = 0.5
x157 = 0.1533203125, y157 = 0.375
x158 = 0.154296875, y158 = 0.25
  FP #11 around 0.15503875968992248 = 20/129
x159 = 0.1552734375, y159 = 0.125
x160 = 0.15625, y160 = 0.0
  FP #12 around 0.1568627450980392 = 8/51
x161 = 0.1572265625, y161 = 0.25
x162 = 0.158203125, y162 = 0.5
x163 = 0.1591796875, y163 = 0.75
x164 = 0.16015625, y164 = 1.0
x165 = 0.1611328125, y165 = 0.875
x166 = 0.162109375, y166 = 0.75
x167 = 0.1630859375, y167 = 0.625
x168 = 0.1640625, y168 = 0.5
x169 = 0.1650390625, y169 = 0.75
x170 = 0.166015625, y170 = 1.0
x171 = 0.1669921875, y171 = 0.5
  FP #13 around 0.16764132553606237 = 86/513
x172 = 0.16796875, y172 = 0.0
  FP #14 around 0.16862745098039217 = 43/255
x173 = 0.1689453125, y173 = 0.25
x174 = 0.169921875, y174 = 0.5
x175 = 0.1708984375, y175 = 0.75
x176 = 0.171875, y176 = 1.0
x177 = 0.1728515625, y177 = 0.875
x178 = 0.173828125, y178 = 0.75
x179 = 0.1748046875, y179 = 0.625
x180 = 0.17578125, y180 = 0.5
x181 = 0.1767578125, y181 = 0.375
x182 = 0.177734375, y182 = 0.25
  FP #15 around 0.17829457364341086 = 23/129
x183 = 0.1787109375, y183 = 0.125
x184 = 0.1796875, y184 = 0.0
  FP #16 around 0.1803921568627451 = 46/255
x185 = 0.1806640625, y185 = 0.25
x186 = 0.181640625, y186 = 0.5
x187 = 0.1826171875, y187 = 0.75
x188 = 0.18359375, y188 = 1.0
x189 = 0.1845703125, y189 = 0.875
x190 = 0.185546875, y190 = 0.75
x191 = 0.1865234375, y191 = 0.625
x192 = 0.1875, y192 = 0.5
x193 = 0.1884765625, y193 = 0.5625
x194 = 0.189453125, y194 = 0.625
x195 = 0.1904296875, y195 = 0.6875
x196 = 0.19140625, y196 = 0.75
x197 = 0.1923828125, y197 = 0.8125
x198 = 0.193359375, y198 = 0.875
x199 = 0.1943359375, y199 = 0.9375
x200 = 0.1953125, y200 = 1.0
x201 = 0.1962890625, y201 = 0.875
x202 = 0.197265625, y202 = 0.75
x203 = 0.1982421875, y203 = 0.625
x204 = 0.19921875, y204 = 0.5
x205 = 0.2001953125, y205 = 0.375
x206 = 0.201171875, y206 = 0.25
  FP #17 around 0.20155038759689922 = 26/129
x207 = 0.2021484375, y207 = 0.125
x208 = 0.203125, y208 = 0.0
x209 = 0.2041015625, y209 = 0.0625
x210 = 0.205078125, y210 = 0.125
x211 = 0.2060546875, y211 = 0.1875
  FP #18 around 0.20634920634920634 = 13/63
x212 = 0.20703125, y212 = 0.25
x213 = 0.2080078125, y213 = 0.3125
x214 = 0.208984375, y214 = 0.375
x215 = 0.2099609375, y215 = 0.4375
x216 = 0.2109375, y216 = 0.5
x217 = 0.2119140625, y217 = 0.5625
x218 = 0.212890625, y218 = 0.625
x219 = 0.2138671875, y219 = 0.6875
x220 = 0.21484375, y220 = 0.75
x221 = 0.2158203125, y221 = 0.8125
x222 = 0.216796875, y222 = 0.875
x223 = 0.2177734375, y223 = 0.9375
x224 = 0.21875, y224 = 1.0
x225 = 0.2197265625, y225 = 0.875
x226 = 0.220703125, y226 = 0.75
x227 = 0.2216796875, y227 = 0.625
x228 = 0.22265625, y228 = 0.5
x229 = 0.2236328125, y229 = 0.375
x230 = 0.224609375, y230 = 0.25
  FP #19 around 0.2248062015503876 = 29/129
x231 = 0.2255859375, y231 = 0.125
x232 = 0.2265625, y232 = 0.0
  FP #20 around 0.22745098039215686 = 58/255
x233 = 0.2275390625, y233 = 0.25
x234 = 0.228515625, y234 = 0.5
x235 = 0.2294921875, y235 = 0.75
x236 = 0.23046875, y236 = 1.0
x237 = 0.2314453125, y237 = 0.875
x238 = 0.232421875, y238 = 0.75
x239 = 0.2333984375, y239 = 0.625
x240 = 0.234375, y240 = 0.5
x241 = 0.2353515625, y241 = 0.5625
x242 = 0.236328125, y242 = 0.625
x243 = 0.2373046875, y243 = 0.6875
x244 = 0.23828125, y244 = 0.75
x245 = 0.2392578125, y245 = 0.8125
x246 = 0.240234375, y246 = 0.875
x247 = 0.2412109375, y247 = 0.9375
x248 = 0.2421875, y248 = 1.0
x249 = 0.2431640625, y249 = 0.875
x250 = 0.244140625, y250 = 0.75
x251 = 0.2451171875, y251 = 0.625
x252 = 0.24609375, y252 = 0.5
x253 = 0.2470703125, y253 = 0.375
x254 = 0.248046875, y254 = 0.25
  FP #21 around 0.24806201550387597 = 32/129
x255 = 0.2490234375, y255 = 0.125
x256 = 0.25, y256 = 0.0
x257 = 0.2509765625, y257 = 0.0625
x258 = 0.251953125, y258 = 0.125
x259 = 0.2529296875, y259 = 0.1875
x260 = 0.25390625, y260 = 0.25
  FP #22 around 0.25396825396825395 = 16/63
x261 = 0.2548828125, y261 = 0.3125
x262 = 0.255859375, y262 = 0.375
x263 = 0.2568359375, y263 = 0.4375
x264 = 0.2578125, y264 = 0.5
x265 = 0.2587890625, y265 = 0.5625
x266 = 0.259765625, y266 = 0.625
x267 = 0.2607421875, y267 = 0.6875
x268 = 0.26171875, y268 = 0.75
x269 = 0.2626953125, y269 = 0.8125
x270 = 0.263671875, y270 = 0.875
x271 = 0.2646484375, y271 = 0.9375
x272 = 0.265625, y272 = 1.0
x273 = 0.2666015625, y273 = 0.96875
x274 = 0.267578125, y274 = 0.9375
x275 = 0.2685546875, y275 = 0.90625
x276 = 0.26953125, y276 = 0.875
x277 = 0.2705078125, y277 = 0.84375
x278 = 0.271484375, y278 = 0.8125
x279 = 0.2724609375, y279 = 0.78125
x280 = 0.2734375, y280 = 0.75
x281 = 0.2744140625, y281 = 0.71875
x282 = 0.275390625, y282 = 0.6875
x283 = 0.2763671875, y283 = 0.65625
x284 = 0.27734375, y284 = 0.625
x285 = 0.2783203125, y285 = 0.59375
x286 = 0.279296875, y286 = 0.5625
x287 = 0.2802734375, y287 = 0.53125
x288 = 0.28125, y288 = 0.5
x289 = 0.2822265625, y289 = 0.5625
x290 = 0.283203125, y290 = 0.625
x291 = 0.2841796875, y291 = 0.6875
x292 = 0.28515625, y292 = 0.75
x293 = 0.2861328125, y293 = 0.8125
x294 = 0.287109375, y294 = 0.875
x295 = 0.2880859375, y295 = 0.9375
x296 = 0.2890625, y296 = 1.0
x297 = 0.2900390625, y297 = 0.875
x298 = 0.291015625, y298 = 0.75
x299 = 0.2919921875, y299 = 0.625
x300 = 0.29296875, y300 = 0.5
x301 = 0.2939453125, y301 = 0.375
  FP #23 around 0.29457364341085274 = 38/129
x302 = 0.294921875, y302 = 0.25
x303 = 0.2958984375, y303 = 0.125
x304 = 0.296875, y304 = 0.0
x305 = 0.2978515625, y305 = 0.0625
x306 = 0.298828125, y306 = 0.125
x307 = 0.2998046875, y307 = 0.1875
x308 = 0.30078125, y308 = 0.25
  FP #24 around 0.30158730158730157 = 19/63
x309 = 0.3017578125, y309 = 0.3125
x310 = 0.302734375, y310 = 0.375
x311 = 0.3037109375, y311 = 0.4375
x312 = 0.3046875, y312 = 0.5
x313 = 0.3056640625, y313 = 0.5625
x314 = 0.306640625, y314 = 0.625
x315 = 0.3076171875, y315 = 0.6875
x316 = 0.30859375, y316 = 0.75
x317 = 0.3095703125, y317 = 0.8125
x318 = 0.310546875, y318 = 0.875
x319 = 0.3115234375, y319 = 0.9375
x320 = 0.3125, y320 = 1.0
x321 = 0.3134765625, y321 = 0.96875
x322 = 0.314453125, y322 = 0.9375
x323 = 0.3154296875, y323 = 0.90625
x324 = 0.31640625, y324 = 0.875
x325 = 0.3173828125, y325 = 0.84375
x326 = 0.318359375, y326 = 0.8125
x327 = 0.3193359375, y327 = 0.78125
x328 = 0.3203125, y328 = 0.75
x329 = 0.3212890625, y329 = 0.71875
x330 = 0.322265625, y330 = 0.6875
x331 = 0.3232421875, y331 = 0.65625
x332 = 0.32421875, y332 = 0.625
x333 = 0.3251953125, y333 = 0.59375
x334 = 0.326171875, y334 = 0.5625
x335 = 0.3271484375, y335 = 0.53125
x336 = 0.328125, y336 = 0.5
x337 = 0.3291015625, y337 = 0.46875
x338 = 0.330078125, y338 = 0.4375
x339 = 0.3310546875, y339 = 0.40625
x340 = 0.33203125, y340 = 0.375
x341 = 0.3330078125, y341 = 0.34375
  FP #25 around 0.3333333333333333 = 1/3
x342 = 0.333984375, y342 = 0.3125
x343 = 0.3349609375, y343 = 0.28125
x344 = 0.3359375, y344 = 0.25
x345 = 0.3369140625, y345 = 0.21875
x346 = 0.337890625, y346 = 0.1875
x347 = 0.3388671875, y347 = 0.15625
x348 = 0.33984375, y348 = 0.125
x349 = 0.3408203125, y349 = 0.09375
x350 = 0.341796875, y350 = 0.0625
x351 = 0.3427734375, y351 = 0.03125
x352 = 0.34375, y352 = 0.0
x353 = 0.3447265625, y353 = 0.0625
x354 = 0.345703125, y354 = 0.125
x355 = 0.3466796875, y355 = 0.1875
x356 = 0.34765625, y356 = 0.25
x357 = 0.3486328125, y357 = 0.3125
  FP #26 around 0.3492063492063492 = 22/63
x358 = 0.349609375, y358 = 0.375
x359 = 0.3505859375, y359 = 0.4375
x360 = 0.3515625, y360 = 0.5
x361 = 0.3525390625, y361 = 0.5625
x362 = 0.353515625, y362 = 0.625
x363 = 0.3544921875, y363 = 0.6875
x364 = 0.35546875, y364 = 0.75
x365 = 0.3564453125, y365 = 0.8125
x366 = 0.357421875, y366 = 0.875
x367 = 0.3583984375, y367 = 0.9375
x368 = 0.359375, y368 = 1.0
x369 = 0.3603515625, y369 = 0.96875
x370 = 0.361328125, y370 = 0.9375
x371 = 0.3623046875, y371 = 0.90625
x372 = 0.36328125, y372 = 0.875
x373 = 0.3642578125, y373 = 0.84375
x374 = 0.365234375, y374 = 0.8125
x375 = 0.3662109375, y375 = 0.78125
x376 = 0.3671875, y376 = 0.75
x377 = 0.3681640625, y377 = 0.71875
x378 = 0.369140625, y378 = 0.6875
x379 = 0.3701171875, y379 = 0.65625
x380 = 0.37109375, y380 = 0.625
x381 = 0.3720703125, y381 = 0.59375
x382 = 0.373046875, y382 = 0.5625
x383 = 0.3740234375, y383 = 0.53125
x384 = 0.375, y384 = 0.5
x385 = 0.3759765625, y385 = 0.5625
x386 = 0.376953125, y386 = 0.625
x387 = 0.3779296875, y387 = 0.6875
x388 = 0.37890625, y388 = 0.75
x389 = 0.3798828125, y389 = 0.8125
x390 = 0.380859375, y390 = 0.875
x391 = 0.3818359375, y391 = 0.9375
x392 = 0.3828125, y392 = 1.0
x393 = 0.3837890625, y393 = 0.875
x394 = 0.384765625, y394 = 0.75
x395 = 0.3857421875, y395 = 0.625
x396 = 0.38671875, y396 = 0.5
  FP #27 around 0.3875968992248062 = 50/129
x397 = 0.3876953125, y397 = 0.375
x398 = 0.388671875, y398 = 0.25
x399 = 0.3896484375, y399 = 0.125
x400 = 0.390625, y400 = 0.0
x401 = 0.3916015625, y401 = 0.0625
x402 = 0.392578125, y402 = 0.125
x403 = 0.3935546875, y403 = 0.1875
x404 = 0.39453125, y404 = 0.25
x405 = 0.3955078125, y405 = 0.3125
x406 = 0.396484375, y406 = 0.375
  FP #28 around 0.3968253968253968 = 25/63
x407 = 0.3974609375, y407 = 0.4375
x408 = 0.3984375, y408 = 0.5
x409 = 0.3994140625, y409 = 0.5625
x410 = 0.400390625, y410 = 0.625
x411 = 0.4013671875, y411 = 0.6875
x412 = 0.40234375, y412 = 0.75
x413 = 0.4033203125, y413 = 0.8125
x414 = 0.404296875, y414 = 0.875
x415 = 0.4052734375, y415 = 0.9375
x416 = 0.40625, y416 = 1.0
x417 = 0.4072265625, y417 = 0.875
x418 = 0.408203125, y418 = 0.75
x419 = 0.4091796875, y419 = 0.625
x420 = 0.41015625, y420 = 0.5
  FP #29 around 0.4108527131782946 = 53/129
x421 = 0.4111328125, y421 = 0.375
x422 = 0.412109375, y422 = 0.25
x423 = 0.4130859375, y423 = 0.125
x424 = 0.4140625, y424 = 0.0
x425 = 0.4150390625, y425 = 0.25
  FP #30 around 0.41568627450980394 = 106/255
x426 = 0.416015625, y426 = 0.5
x427 = 0.4169921875, y427 = 0.75
x428 = 0.41796875, y428 = 1.0
x429 = 0.4189453125, y429 = 0.875
x430 = 0.419921875, y430 = 0.75
x431 = 0.4208984375, y431 = 0.625
x432 = 0.421875, y432 = 0.5
x433 = 0.4228515625, y433 = 0.5625
x434 = 0.423828125, y434 = 0.625
x435 = 0.4248046875, y435 = 0.6875
x436 = 0.42578125, y436 = 0.75
x437 = 0.4267578125, y437 = 0.8125
x438 = 0.427734375, y438 = 0.875
x439 = 0.4287109375, y439 = 0.9375
x440 = 0.4296875, y440 = 1.0
x441 = 0.4306640625, y441 = 0.875
x442 = 0.431640625, y442 = 0.75
x443 = 0.4326171875, y443 = 0.625
x444 = 0.43359375, y444 = 0.5
  FP #31 around 0.43410852713178294 = 56/129
x445 = 0.4345703125, y445 = 0.375
x446 = 0.435546875, y446 = 0.25
x447 = 0.4365234375, y447 = 0.125
x448 = 0.4375, y448 = 0.0
x449 = 0.4384765625, y449 = 0.0625
x450 = 0.439453125, y450 = 0.125
x451 = 0.4404296875, y451 = 0.1875
x452 = 0.44140625, y452 = 0.25
x453 = 0.4423828125, y453 = 0.3125
x454 = 0.443359375, y454 = 0.375
x455 = 0.4443359375, y455 = 0.4375
  FP #32 around 0.4444444444444444 = 4/9
x456 = 0.4453125, y456 = 0.5
x457 = 0.4462890625, y457 = 0.5625
x458 = 0.447265625, y458 = 0.625
x459 = 0.4482421875, y459 = 0.6875
x460 = 0.44921875, y460 = 0.75
x461 = 0.4501953125, y461 = 0.8125
x462 = 0.451171875, y462 = 0.875
x463 = 0.4521484375, y463 = 0.9375
x464 = 0.453125, y464 = 1.0
x465 = 0.4541015625, y465 = 0.96875
x466 = 0.455078125, y466 = 0.9375
x467 = 0.4560546875, y467 = 0.90625
x468 = 0.45703125, y468 = 0.875
x469 = 0.4580078125, y469 = 0.84375
x470 = 0.458984375, y470 = 0.8125
x471 = 0.4599609375, y471 = 0.78125
x472 = 0.4609375, y472 = 0.75
x473 = 0.4619140625, y473 = 0.71875
x474 = 0.462890625, y474 = 0.6875
x475 = 0.4638671875, y475 = 0.65625
x476 = 0.46484375, y476 = 0.625
x477 = 0.4658203125, y477 = 0.59375
x478 = 0.466796875, y478 = 0.5625
x479 = 0.4677734375, y479 = 0.53125
x480 = 0.46875, y480 = 0.5
x481 = 0.4697265625, y481 = 0.5625
x482 = 0.470703125, y482 = 0.625
x483 = 0.4716796875, y483 = 0.6875
x484 = 0.47265625, y484 = 0.75
x485 = 0.4736328125, y485 = 0.8125
x486 = 0.474609375, y486 = 0.875
x487 = 0.4755859375, y487 = 0.9375
x488 = 0.4765625, y488 = 1.0
x489 = 0.4775390625, y489 = 0.875
x490 = 0.478515625, y490 = 0.75
x491 = 0.4794921875, y491 = 0.625
x492 = 0.48046875, y492 = 0.5
  FP #33 around 0.4806201550387597 = 62/129
x493 = 0.4814453125, y493 = 0.375
x494 = 0.482421875, y494 = 0.25
x495 = 0.4833984375, y495 = 0.125
x496 = 0.484375, y496 = 0.0
x497 = 0.4853515625, y497 = 0.0625
x498 = 0.486328125, y498 = 0.125
x499 = 0.4873046875, y499 = 0.1875
x500 = 0.48828125, y500 = 0.25
x501 = 0.4892578125, y501 = 0.3125
x502 = 0.490234375, y502 = 0.375
x503 = 0.4912109375, y503 = 0.4375
  FP #34 around 0.49206349206349204 = 31/63
x504 = 0.4921875, y504 = 0.5
x505 = 0.4931640625, y505 = 0.5625
x506 = 0.494140625, y506 = 0.625
x507 = 0.4951171875, y507 = 0.6875
x508 = 0.49609375, y508 = 0.75
x509 = 0.4970703125, y509 = 0.8125
x510 = 0.498046875, y510 = 0.875
x511 = 0.4990234375, y511 = 0.9375
x512 = 0.5, y512 = 1.0
x513 = 0.5009765625, y513 = 0.875
x514 = 0.501953125, y514 = 0.75
x515 = 0.5029296875, y515 = 0.625
  FP #35 around 0.5038759689922481 = 65/129
x516 = 0.50390625, y516 = 0.5
x517 = 0.5048828125, y517 = 0.375
x518 = 0.505859375, y518 = 0.25
x519 = 0.5068359375, y519 = 0.125
x520 = 0.5078125, y520 = 0.0
x521 = 0.5087890625, y521 = 0.25
x522 = 0.509765625, y522 = 0.5
  FP #36 around 0.5098039215686274 = 26/51
x523 = 0.5107421875, y523 = 0.75
x524 = 0.51171875, y524 = 1.0
x525 = 0.5126953125, y525 = 0.875
x526 = 0.513671875, y526 = 0.75
x527 = 0.5146484375, y527 = 0.625
  FP #37 around 0.5155038759689923 = 133/258
x528 = 0.515625, y528 = 0.5
  FP #38 around 0.5158730158730159 = 65/126
x529 = 0.5166015625, y529 = 0.5625
x530 = 0.517578125, y530 = 0.625
x531 = 0.5185546875, y531 = 0.6875
x532 = 0.51953125, y532 = 0.75
x533 = 0.5205078125, y533 = 0.8125
x534 = 0.521484375, y534 = 0.875
x535 = 0.5224609375, y535 = 0.9375
x536 = 0.5234375, y536 = 1.0
x537 = 0.5244140625, y537 = 0.875
x538 = 0.525390625, y538 = 0.75
x539 = 0.5263671875, y539 = 0.625
  FP #39 around 0.5271317829457365 = 68/129
x540 = 0.52734375, y540 = 0.5
x541 = 0.5283203125, y541 = 0.375
x542 = 0.529296875, y542 = 0.25
x543 = 0.5302734375, y543 = 0.125
x544 = 0.53125, y544 = 0.0
x545 = 0.5322265625, y545 = 0.25
x546 = 0.533203125, y546 = 0.5
  FP #40 around 0.5333333333333333 = 8/15
x547 = 0.5341796875, y547 = 0.75
x548 = 0.53515625, y548 = 1.0
x549 = 0.5361328125, y549 = 0.875
x550 = 0.537109375, y550 = 0.75
x551 = 0.5380859375, y551 = 0.625
  FP #41 around 0.5387596899224806 = 139/258
x552 = 0.5390625, y552 = 0.5
  FP #42 around 0.5392156862745098 = 55/102
x553 = 0.5400390625, y553 = 0.75
x554 = 0.541015625, y554 = 1.0
  FP #43 around 0.5419103313840156 = 278/513
x555 = 0.5419921875, y555 = 0.5
x556 = 0.54296875, y556 = 0.0
x557 = 0.5439453125, y557 = 0.25
x558 = 0.544921875, y558 = 0.5
  FP #44 around 0.5450980392156862 = 139/255
x559 = 0.5458984375, y559 = 0.75
x560 = 0.546875, y560 = 1.0
x561 = 0.5478515625, y561 = 0.875
x562 = 0.548828125, y562 = 0.75
x563 = 0.5498046875, y563 = 0.625
  FP #45 around 0.5503875968992248 = 71/129
x564 = 0.55078125, y564 = 0.5
x565 = 0.5517578125, y565 = 0.375
x566 = 0.552734375, y566 = 0.25
x567 = 0.5537109375, y567 = 0.125
x568 = 0.5546875, y568 = 0.0
x569 = 0.5556640625, y569 = 0.25
x570 = 0.556640625, y570 = 0.5
  FP #46 around 0.5568627450980392 = 142/255
x571 = 0.5576171875, y571 = 0.75
x572 = 0.55859375, y572 = 1.0
x573 = 0.5595703125, y573 = 0.875
x574 = 0.560546875, y574 = 0.75
x575 = 0.5615234375, y575 = 0.625
  FP #47 around 0.562015503875969 = 145/258
x576 = 0.5625, y576 = 0.5
x577 = 0.5634765625, y577 = 0.5625
  FP #48 around 0.5634920634920635 = 71/126
x578 = 0.564453125, y578 = 0.625
x579 = 0.5654296875, y579 = 0.6875
x580 = 0.56640625, y580 = 0.75
x581 = 0.5673828125, y581 = 0.8125
x582 = 0.568359375, y582 = 0.875
x583 = 0.5693359375, y583 = 0.9375
x584 = 0.5703125, y584 = 1.0
x585 = 0.5712890625, y585 = 0.875
x586 = 0.572265625, y586 = 0.75
x587 = 0.5732421875, y587 = 0.625
  FP #49 around 0.5736434108527132 = 74/129
x588 = 0.57421875, y588 = 0.5
x589 = 0.5751953125, y589 = 0.375
x590 = 0.576171875, y590 = 0.25
x591 = 0.5771484375, y591 = 0.125
x592 = 0.578125, y592 = 0.0
x593 = 0.5791015625, y593 = 0.0625
x594 = 0.580078125, y594 = 0.125
x595 = 0.5810546875, y595 = 0.1875
x596 = 0.58203125, y596 = 0.25
x597 = 0.5830078125, y597 = 0.3125
x598 = 0.583984375, y598 = 0.375
x599 = 0.5849609375, y599 = 0.4375
x600 = 0.5859375, y600 = 0.5
x601 = 0.5869140625, y601 = 0.5625
  FP #50 around 0.5873015873015873 = 37/63
x602 = 0.587890625, y602 = 0.625
x603 = 0.5888671875, y603 = 0.6875
x604 = 0.58984375, y604 = 0.75
x605 = 0.5908203125, y605 = 0.8125
x606 = 0.591796875, y606 = 0.875
x607 = 0.5927734375, y607 = 0.9375
x608 = 0.59375, y608 = 1.0
x609 = 0.5947265625, y609 = 0.875
x610 = 0.595703125, y610 = 0.75
x611 = 0.5966796875, y611 = 0.625
  FP #51 around 0.5968992248062015 = 77/129
x612 = 0.59765625, y612 = 0.5
x613 = 0.5986328125, y613 = 0.375
x614 = 0.599609375, y614 = 0.25
x615 = 0.6005859375, y615 = 0.125
x616 = 0.6015625, y616 = 0.0
x617 = 0.6025390625, y617 = 0.25
x618 = 0.603515625, y618 = 0.5
  FP #52 around 0.6039215686274509 = 154/255
x619 = 0.6044921875, y619 = 0.75
x620 = 0.60546875, y620 = 1.0
x621 = 0.6064453125, y621 = 0.875
x622 = 0.607421875, y622 = 0.75
x623 = 0.6083984375, y623 = 0.625
  FP #53 around 0.6085271317829457 = 157/258
x624 = 0.609375, y624 = 0.5
x625 = 0.6103515625, y625 = 0.5625
  FP #54 around 0.6111111111111112 = 11/18
x626 = 0.611328125, y626 = 0.625
x627 = 0.6123046875, y627 = 0.6875
x628 = 0.61328125, y628 = 0.75
x629 = 0.6142578125, y629 = 0.8125
x630 = 0.615234375, y630 = 0.875
x631 = 0.6162109375, y631 = 0.9375
x632 = 0.6171875, y632 = 1.0
x633 = 0.6181640625, y633 = 0.875
x634 = 0.619140625, y634 = 0.75
x635 = 0.6201171875, y635 = 0.625
  FP #55 around 0.6201550387596899 = 80/129
x636 = 0.62109375, y636 = 0.5
x637 = 0.6220703125, y637 = 0.375
x638 = 0.623046875, y638 = 0.25
x639 = 0.6240234375, y639 = 0.125
x640 = 0.625, y640 = 0.0
x641 = 0.6259765625, y641 = 0.25
x642 = 0.626953125, y642 = 0.5
  FP #56 around 0.6274509803921569 = 32/51
x643 = 0.6279296875, y643 = 0.75
x644 = 0.62890625, y644 = 1.0
x645 = 0.6298828125, y645 = 0.875
x646 = 0.630859375, y646 = 0.75
  FP #57 around 0.6317829457364341 = 163/258
x647 = 0.6318359375, y647 = 0.625
x648 = 0.6328125, y648 = 0.5
  FP #58 around 0.6333333333333333 = 19/30
x649 = 0.6337890625, y649 = 0.75
x650 = 0.634765625, y650 = 1.0
  FP #59 around 0.6354775828460039 = 326/513
x651 = 0.6357421875, y651 = 0.5
x652 = 0.63671875, y652 = 0.0
x653 = 0.6376953125, y653 = 0.25
x654 = 0.638671875, y654 = 0.5
  FP #60 around 0.6392156862745098 = 163/255
x655 = 0.6396484375, y655 = 0.75
x656 = 0.640625, y656 = 1.0
x657 = 0.6416015625, y657 = 0.875
x658 = 0.642578125, y658 = 0.75
  FP #61 around 0.6434108527131783 = 83/129
x659 = 0.6435546875, y659 = 0.625
x660 = 0.64453125, y660 = 0.5
x661 = 0.6455078125, y661 = 0.375
x662 = 0.646484375, y662 = 0.25
x663 = 0.6474609375, y663 = 0.125
x664 = 0.6484375, y664 = 0.0
x665 = 0.6494140625, y665 = 0.25
x666 = 0.650390625, y666 = 0.5
  FP #62 around 0.6509803921568628 = 166/255
x667 = 0.6513671875, y667 = 0.75
x668 = 0.65234375, y668 = 1.0
x669 = 0.6533203125, y669 = 0.875
x670 = 0.654296875, y670 = 0.75
  FP #63 around 0.6550387596899225 = 169/258
x671 = 0.6552734375, y671 = 0.625
x672 = 0.65625, y672 = 0.5
  FP #64 around 0.6568627450980392 = 67/102
x673 = 0.6572265625, y673 = 0.75
x674 = 0.658203125, y674 = 1.0
  FP #65 around 0.6588693957115009 = 338/513
x675 = 0.6591796875, y675 = 0.5
x676 = 0.66015625, y676 = 0.0
x677 = 0.6611328125, y677 = 0.25
x678 = 0.662109375, y678 = 0.5
  FP #66 around 0.6627450980392157 = 169/255
x679 = 0.6630859375, y679 = 0.75
x680 = 0.6640625, y680 = 1.0
  FP #67 around 0.6647173489278753 = 341/513
x681 = 0.6650390625, y681 = 0.5
x682 = 0.666015625, y682 = 0.0
  FP #68 around 0.6666666666666666 = 2/3
x683 = 0.6669921875, y683 = 1.0
  FP #69 around 0.6676413255360624 = 685/1026
x684 = 0.66796875, y684 = 0.5
  FP #70 around 0.6686274509803921 = 341/510
x685 = 0.6689453125, y685 = 0.75
x686 = 0.669921875, y686 = 1.0
  FP #71 around 0.6705653021442495 = 344/513
x687 = 0.6708984375, y687 = 0.5
x688 = 0.671875, y688 = 0.0
x689 = 0.6728515625, y689 = 0.25
x690 = 0.673828125, y690 = 0.5
  FP #72 around 0.6745098039215687 = 172/255
x691 = 0.6748046875, y691 = 0.75
x692 = 0.67578125, y692 = 1.0
x693 = 0.6767578125, y693 = 0.875
x694 = 0.677734375, y694 = 0.75
  FP #73 around 0.6782945736434108 = 175/258
x695 = 0.6787109375, y695 = 0.625
x696 = 0.6796875, y696 = 0.5
  FP #74 around 0.6803921568627451 = 347/510
x697 = 0.6806640625, y697 = 0.75
x698 = 0.681640625, y698 = 1.0
  FP #75 around 0.682261208576998 = 350/513
x699 = 0.6826171875, y699 = 0.5
x700 = 0.68359375, y700 = 0.0
x701 = 0.6845703125, y701 = 0.25
x702 = 0.685546875, y702 = 0.5
  FP #76 around 0.6862745098039216 = 35/51
x703 = 0.6865234375, y703 = 0.75
x704 = 0.6875, y704 = 1.0
x705 = 0.6884765625, y705 = 0.875
x706 = 0.689453125, y706 = 0.75
  FP #77 around 0.689922480620155 = 89/129
x707 = 0.6904296875, y707 = 0.625
x708 = 0.69140625, y708 = 0.5
x709 = 0.6923828125, y709 = 0.375
x710 = 0.693359375, y710 = 0.25
x711 = 0.6943359375, y711 = 0.125
x712 = 0.6953125, y712 = 0.0
x713 = 0.6962890625, y713 = 0.25
x714 = 0.697265625, y714 = 0.5
  FP #78 around 0.6980392156862745 = 178/255
x715 = 0.6982421875, y715 = 0.75
x716 = 0.69921875, y716 = 1.0
x717 = 0.7001953125, y717 = 0.875
x718 = 0.701171875, y718 = 0.75
  FP #79 around 0.7015503875968992 = 181/258
x719 = 0.7021484375, y719 = 0.625
x720 = 0.703125, y720 = 0.5
x721 = 0.7041015625, y721 = 0.5625
x722 = 0.705078125, y722 = 0.625
x723 = 0.7060546875, y723 = 0.6875
  FP #80 around 0.7063492063492064 = 89/126
x724 = 0.70703125, y724 = 0.75
x725 = 0.7080078125, y725 = 0.8125
x726 = 0.708984375, y726 = 0.875
x727 = 0.7099609375, y727 = 0.9375
x728 = 0.7109375, y728 = 1.0
x729 = 0.7119140625, y729 = 0.875
x730 = 0.712890625, y730 = 0.75
  FP #81 around 0.7131782945736435 = 92/129
x731 = 0.7138671875, y731 = 0.625
x732 = 0.71484375, y732 = 0.5
x733 = 0.7158203125, y733 = 0.375
x734 = 0.716796875, y734 = 0.25
x735 = 0.7177734375, y735 = 0.125
x736 = 0.71875, y736 = 0.0
x737 = 0.7197265625, y737 = 0.25
x738 = 0.720703125, y738 = 0.5
  FP #82 around 0.7215686274509804 = 184/255
x739 = 0.7216796875, y739 = 0.75
x740 = 0.72265625, y740 = 1.0
x741 = 0.7236328125, y741 = 0.875
x742 = 0.724609375, y742 = 0.75
  FP #83 around 0.7248062015503876 = 187/258
x743 = 0.7255859375, y743 = 0.625
x744 = 0.7265625, y744 = 0.5
  FP #84 around 0.7274509803921568 = 371/510
x745 = 0.7275390625, y745 = 0.75
x746 = 0.728515625, y746 = 1.0
  FP #85 around 0.7290448343079922 = 374/513
x747 = 0.7294921875, y747 = 0.5
x748 = 0.73046875, y748 = 0.0
x749 = 0.7314453125, y749 = 0.25
x750 = 0.732421875, y750 = 0.5
  FP #86 around 0.7333333333333333 = 11/15
x751 = 0.7333984375, y751 = 0.75
x752 = 0.734375, y752 = 1.0
x753 = 0.7353515625, y753 = 0.875
x754 = 0.736328125, y754 = 0.75
  FP #87 around 0.7364341085271318 = 95/129
x755 = 0.7373046875, y755 = 0.625
x756 = 0.73828125, y756 = 0.5
x757 = 0.7392578125, y757 = 0.375
x758 = 0.740234375, y758 = 0.25
x759 = 0.7412109375, y759 = 0.125
x760 = 0.7421875, y760 = 0.0
x761 = 0.7431640625, y761 = 0.25
x762 = 0.744140625, y762 = 0.5
  FP #88 around 0.7450980392156863 = 38/51
x763 = 0.7451171875, y763 = 0.75
x764 = 0.74609375, y764 = 1.0
x765 = 0.7470703125, y765 = 0.875
x766 = 0.748046875, y766 = 0.75
  FP #89 around 0.748062015503876 = 193/258
x767 = 0.7490234375, y767 = 0.625
x768 = 0.75, y768 = 0.5
x769 = 0.7509765625, y769 = 0.5625
x770 = 0.751953125, y770 = 0.625
x771 = 0.7529296875, y771 = 0.6875
x772 = 0.75390625, y772 = 0.75
  FP #90 around 0.753968253968254 = 95/126
x773 = 0.7548828125, y773 = 0.8125
x774 = 0.755859375, y774 = 0.875
x775 = 0.7568359375, y775 = 0.9375
x776 = 0.7578125, y776 = 1.0
x777 = 0.7587890625, y777 = 0.875
  FP #91 around 0.7596899224806202 = 98/129
x778 = 0.759765625, y778 = 0.75
x779 = 0.7607421875, y779 = 0.625
x780 = 0.76171875, y780 = 0.5
x781 = 0.7626953125, y781 = 0.375
x782 = 0.763671875, y782 = 0.25
x783 = 0.7646484375, y783 = 0.125
x784 = 0.765625, y784 = 0.0
x785 = 0.7666015625, y785 = 0.0625
x786 = 0.767578125, y786 = 0.125
x787 = 0.7685546875, y787 = 0.1875
x788 = 0.76953125, y788 = 0.25
x789 = 0.7705078125, y789 = 0.3125
x790 = 0.771484375, y790 = 0.375
x791 = 0.7724609375, y791 = 0.4375
x792 = 0.7734375, y792 = 0.5
x793 = 0.7744140625, y793 = 0.5625
x794 = 0.775390625, y794 = 0.625
x795 = 0.7763671875, y795 = 0.6875
x796 = 0.77734375, y796 = 0.75
  FP #92 around 0.7777777777777778 = 7/9
x797 = 0.7783203125, y797 = 0.8125
x798 = 0.779296875, y798 = 0.875
x799 = 0.7802734375, y799 = 0.9375
x800 = 0.78125, y800 = 1.0
x801 = 0.7822265625, y801 = 0.875
  FP #93 around 0.7829457364341085 = 101/129
x802 = 0.783203125, y802 = 0.75
x803 = 0.7841796875, y803 = 0.625
x804 = 0.78515625, y804 = 0.5
x805 = 0.7861328125, y805 = 0.375
x806 = 0.787109375, y806 = 0.25
x807 = 0.7880859375, y807 = 0.125
x808 = 0.7890625, y808 = 0.0
x809 = 0.7900390625, y809 = 0.25
x810 = 0.791015625, y810 = 0.5
x811 = 0.7919921875, y811 = 0.75
  FP #94 around 0.792156862745098 = 202/255
x812 = 0.79296875, y812 = 1.0
x813 = 0.7939453125, y813 = 0.875
  FP #95 around 0.7945736434108527 = 205/258
x814 = 0.794921875, y814 = 0.75
x815 = 0.7958984375, y815 = 0.625
x816 = 0.796875, y816 = 0.5
x817 = 0.7978515625, y817 = 0.5625
x818 = 0.798828125, y818 = 0.625
x819 = 0.7998046875, y819 = 0.6875
x820 = 0.80078125, y820 = 0.75
  FP #96 around 0.8015873015873016 = 101/126
x821 = 0.8017578125, y821 = 0.8125
x822 = 0.802734375, y822 = 0.875
x823 = 0.8037109375, y823 = 0.9375
x824 = 0.8046875, y824 = 1.0
x825 = 0.8056640625, y825 = 0.875
  FP #97 around 0.8062015503875969 = 104/129
x826 = 0.806640625, y826 = 0.75
x827 = 0.8076171875, y827 = 0.625
x828 = 0.80859375, y828 = 0.5
x829 = 0.8095703125, y829 = 0.375
x830 = 0.810546875, y830 = 0.25
x831 = 0.8115234375, y831 = 0.125
x832 = 0.8125, y832 = 0.0
x833 = 0.8134765625, y833 = 0.0625
x834 = 0.814453125, y834 = 0.125
x835 = 0.8154296875, y835 = 0.1875
x836 = 0.81640625, y836 = 0.25
x837 = 0.8173828125, y837 = 0.3125
x838 = 0.818359375, y838 = 0.375
x839 = 0.8193359375, y839 = 0.4375
x840 = 0.8203125, y840 = 0.5
x841 = 0.8212890625, y841 = 0.5625
x842 = 0.822265625, y842 = 0.625
x843 = 0.8232421875, y843 = 0.6875
x844 = 0.82421875, y844 = 0.75
x845 = 0.8251953125, y845 = 0.8125
  FP #98 around 0.8253968253968254 = 52/63
x846 = 0.826171875, y846 = 0.875
x847 = 0.8271484375, y847 = 0.9375
x848 = 0.828125, y848 = 1.0
x849 = 0.8291015625, y849 = 0.96875
x850 = 0.830078125, y850 = 0.9375
x851 = 0.8310546875, y851 = 0.90625
x852 = 0.83203125, y852 = 0.875
x853 = 0.8330078125, y853 = 0.84375
  FP #99 around 0.8333333333333334 = 5/6
x854 = 0.833984375, y854 = 0.8125
x855 = 0.8349609375, y855 = 0.78125
x856 = 0.8359375, y856 = 0.75
x857 = 0.8369140625, y857 = 0.71875
x858 = 0.837890625, y858 = 0.6875
x859 = 0.8388671875, y859 = 0.65625
x860 = 0.83984375, y860 = 0.625
x861 = 0.8408203125, y861 = 0.59375
x862 = 0.841796875, y862 = 0.5625
x863 = 0.8427734375, y863 = 0.53125
x864 = 0.84375, y864 = 0.5
x865 = 0.8447265625, y865 = 0.5625
x866 = 0.845703125, y866 = 0.625
x867 = 0.8466796875, y867 = 0.6875
x868 = 0.84765625, y868 = 0.75
x869 = 0.8486328125, y869 = 0.8125
  FP #100 around 0.8492063492063492 = 107/126
x870 = 0.849609375, y870 = 0.875
x871 = 0.8505859375, y871 = 0.9375
x872 = 0.8515625, y872 = 1.0
x873 = 0.8525390625, y873 = 0.875
  FP #101 around 0.8527131782945736 = 110/129
x874 = 0.853515625, y874 = 0.75
x875 = 0.8544921875, y875 = 0.625
x876 = 0.85546875, y876 = 0.5
x877 = 0.8564453125, y877 = 0.375
x878 = 0.857421875, y878 = 0.25
x879 = 0.8583984375, y879 = 0.125
x880 = 0.859375, y880 = 0.0
x881 = 0.8603515625, y881 = 0.0625
x882 = 0.861328125, y882 = 0.125
x883 = 0.8623046875, y883 = 0.1875
x884 = 0.86328125, y884 = 0.25
x885 = 0.8642578125, y885 = 0.3125
x886 = 0.865234375, y886 = 0.375
x887 = 0.8662109375, y887 = 0.4375
x888 = 0.8671875, y888 = 0.5
x889 = 0.8681640625, y889 = 0.5625
x890 = 0.869140625, y890 = 0.625
x891 = 0.8701171875, y891 = 0.6875
x892 = 0.87109375, y892 = 0.75
x893 = 0.8720703125, y893 = 0.8125
  FP #102 around 0.873015873015873 = 55/63
x894 = 0.873046875, y894 = 0.875
x895 = 0.8740234375, y895 = 0.9375
x896 = 0.875, y896 = 1.0
  FP #103 around 0.875968992248062 = 113/129
x897 = 0.8759765625, y897 = 0.875
x898 = 0.876953125, y898 = 0.75
x899 = 0.8779296875, y899 = 0.625
x900 = 0.87890625, y900 = 0.5
x901 = 0.8798828125, y901 = 0.375
x902 = 0.880859375, y902 = 0.25
x903 = 0.8818359375, y903 = 0.125
x904 = 0.8828125, y904 = 0.0
x905 = 0.8837890625, y905 = 0.25
x906 = 0.884765625, y906 = 0.5
x907 = 0.8857421875, y907 = 0.75
  FP #104 around 0.8862745098039215 = 226/255
x908 = 0.88671875, y908 = 1.0
  FP #105 around 0.8875968992248062 = 229/258
x909 = 0.8876953125, y909 = 0.875
x910 = 0.888671875, y910 = 0.75
x911 = 0.8896484375, y911 = 0.625
x912 = 0.890625, y912 = 0.5
x913 = 0.8916015625, y913 = 0.5625
x914 = 0.892578125, y914 = 0.625
x915 = 0.8935546875, y915 = 0.6875
x916 = 0.89453125, y916 = 0.75
x917 = 0.8955078125, y917 = 0.8125
x918 = 0.896484375, y918 = 0.875
  FP #106 around 0.8968253968253969 = 113/126
x919 = 0.8974609375, y919 = 0.9375
x920 = 0.8984375, y920 = 1.0
  FP #107 around 0.8992248062015504 = 116/129
x921 = 0.8994140625, y921 = 0.875
x922 = 0.900390625, y922 = 0.75
x923 = 0.9013671875, y923 = 0.625
x924 = 0.90234375, y924 = 0.5
x925 = 0.9033203125, y925 = 0.375
x926 = 0.904296875, y926 = 0.25
x927 = 0.9052734375, y927 = 0.125
x928 = 0.90625, y928 = 0.0
x929 = 0.9072265625, y929 = 0.25
x930 = 0.908203125, y930 = 0.5
x931 = 0.9091796875, y931 = 0.75
  FP #108 around 0.9098039215686274 = 232/255
x932 = 0.91015625, y932 = 1.0
  FP #109 around 0.9108527131782945 = 235/258
x933 = 0.9111328125, y933 = 0.875
x934 = 0.912109375, y934 = 0.75
x935 = 0.9130859375, y935 = 0.625
x936 = 0.9140625, y936 = 0.5
x937 = 0.9150390625, y937 = 0.75
  FP #110 around 0.9156862745098039 = 467/510
x938 = 0.916015625, y938 = 1.0
  FP #111 around 0.9161793372319688 = 470/513
x939 = 0.9169921875, y939 = 0.5
x940 = 0.91796875, y940 = 0.0
x941 = 0.9189453125, y941 = 0.25
x942 = 0.919921875, y942 = 0.5
x943 = 0.9208984375, y943 = 0.75
  FP #112 around 0.9215686274509803 = 47/51
x944 = 0.921875, y944 = 1.0
  FP #113 around 0.9224806201550387 = 119/129
x945 = 0.9228515625, y945 = 0.875
x946 = 0.923828125, y946 = 0.75
x947 = 0.9248046875, y947 = 0.625
x948 = 0.92578125, y948 = 0.5
x949 = 0.9267578125, y949 = 0.375
x950 = 0.927734375, y950 = 0.25
x951 = 0.9287109375, y951 = 0.125
x952 = 0.9296875, y952 = 0.0
x953 = 0.9306640625, y953 = 0.25
x954 = 0.931640625, y954 = 0.5
x955 = 0.9326171875, y955 = 0.75
  FP #114 around 0.9333333333333333 = 14/15
x956 = 0.93359375, y956 = 1.0
  FP #115 around 0.9341085271317829 = 241/258
x957 = 0.9345703125, y957 = 0.875
x958 = 0.935546875, y958 = 0.75
x959 = 0.9365234375, y959 = 0.625
x960 = 0.9375, y960 = 0.5
x961 = 0.9384765625, y961 = 0.5625
x962 = 0.939453125, y962 = 0.625
x963 = 0.9404296875, y963 = 0.6875
x964 = 0.94140625, y964 = 0.75
x965 = 0.9423828125, y965 = 0.8125
x966 = 0.943359375, y966 = 0.875
x967 = 0.9443359375, y967 = 0.9375
  FP #116 around 0.9444444444444444 = 17/18
x968 = 0.9453125, y968 = 1.0
  FP #117 around 0.9457364341085271 = 122/129
x969 = 0.9462890625, y969 = 0.875
x970 = 0.947265625, y970 = 0.75
x971 = 0.9482421875, y971 = 0.625
x972 = 0.94921875, y972 = 0.5
x973 = 0.9501953125, y973 = 0.375
x974 = 0.951171875, y974 = 0.25
x975 = 0.9521484375, y975 = 0.125
x976 = 0.953125, y976 = 0.0
x977 = 0.9541015625, y977 = 0.0625
x978 = 0.955078125, y978 = 0.125
x979 = 0.9560546875, y979 = 0.1875
x980 = 0.95703125, y980 = 0.25
x981 = 0.9580078125, y981 = 0.3125
x982 = 0.958984375, y982 = 0.375
x983 = 0.9599609375, y983 = 0.4375
x984 = 0.9609375, y984 = 0.5
x985 = 0.9619140625, y985 = 0.5625
x986 = 0.962890625, y986 = 0.625
x987 = 0.9638671875, y987 = 0.6875
x988 = 0.96484375, y988 = 0.75
x989 = 0.9658203125, y989 = 0.8125
x990 = 0.966796875, y990 = 0.875
x991 = 0.9677734375, y991 = 0.9375
  FP #118 around 0.9682539682539683 = 61/63
x992 = 0.96875, y992 = 1.0
  FP #119 around 0.9689922480620154 = 125/129
x993 = 0.9697265625, y993 = 0.875
x994 = 0.970703125, y994 = 0.75
x995 = 0.9716796875, y995 = 0.625
x996 = 0.97265625, y996 = 0.5
x997 = 0.9736328125, y997 = 0.375
x998 = 0.974609375, y998 = 0.25
x999 = 0.9755859375, y999 = 0.125
x1000 = 0.9765625, y1000 = 0.0
x1001 = 0.9775390625, y1001 = 0.25
x1002 = 0.978515625, y1002 = 0.5
x1003 = 0.9794921875, y1003 = 0.75
  FP #120 around 0.9803921568627451 = 50/51
x1004 = 0.98046875, y1004 = 1.0
  FP #121 around 0.9806201550387597 = 253/258
x1005 = 0.9814453125, y1005 = 0.875
x1006 = 0.982421875, y1006 = 0.75
x1007 = 0.9833984375, y1007 = 0.625
x1008 = 0.984375, y1008 = 0.5
x1009 = 0.9853515625, y1009 = 0.5625
x1010 = 0.986328125, y1010 = 0.625
x1011 = 0.9873046875, y1011 = 0.6875
x1012 = 0.98828125, y1012 = 0.75
x1013 = 0.9892578125, y1013 = 0.8125
x1014 = 0.990234375, y1014 = 0.875
x1015 = 0.9912109375, y1015 = 0.9375
  FP #122 around 0.9920634920634921 = 125/126
x1016 = 0.9921875, y1016 = 1.0
  FP #123 around 0.9922480620155039 = 128/129
x1017 = 0.9931640625, y1017 = 0.875
x1018 = 0.994140625, y1018 = 0.75
x1019 = 0.9951171875, y1019 = 0.625
x1020 = 0.99609375, y1020 = 0.5
x1021 = 0.9970703125, y1021 = 0.375
x1022 = 0.998046875, y1022 = 0.25
x1023 = 0.9990234375, y1023 = 0.125
x1024 = 1.0, y1024 = 0.0
1: 2/129 = 0.015503875968992248 -> 0.015503875968988723 (delta = 3.524958103184872e-15)
2: 1/63 = 0.015873015873015872 -> 0.015873015873012264 (delta = 3.608224830031759e-15)
3: 5/129 = 0.03875968992248062 -> 0.03875968992248602 (delta = 5.398459457239824e-15)
4: 2/51 = 0.0392156862745098 -> 0.03921568627450256 (delta = 7.244205235679146e-15)
5: 8/129 = 0.06201550387596899 -> 0.0620155038759691 (delta = 1.1102230246251565e-16)
6: 4/63 = 0.06349206349206349 -> 0.06349206349206327 (delta = 2.220446049250313e-16)
7: 14/129 = 0.10852713178294573 -> 0.10852713178294948 (delta = 3.747002708109903e-15)
8: 1/9 = 0.1111111111111111 -> 0.11111111111111427 (delta = 3.164135620181696e-15)
9: 17/129 = 0.13178294573643412 -> 0.13178294573643257 (delta = 1.5543122344752192e-15)
10: 2/15 = 0.13333333333333333 -> 0.13333333333332575 (delta = 7.577272143066693e-15)
11: 20/129 = 0.15503875968992248 -> 0.15503875968991565 (delta = 6.827871601444713e-15)
12: 8/51 = 0.1568627450980392 -> 0.15686274509803866 (delta = 5.551115123125783e-16)
13: 86/513 = 0.16764132553606237 -> 0.16764132553606714 (delta = 4.773959005888173e-15)
14: 43/255 = 0.16862745098039217 -> 0.16862745098040932 (delta = 1.715294573045867e-14)
15: 23/129 = 0.17829457364341086 -> 0.17829457364341295 (delta = 2.0816681711721685e-15)
16: 46/255 = 0.1803921568627451 -> 0.18039215686275156 (delta = 6.467049118441537e-15)
17: 26/129 = 0.20155038759689922 -> 0.20155038759689603 (delta = 3.191891195797325e-15)
18: 13/63 = 0.20634920634920634 -> 0.20634920634920206 (delta = 4.274358644806853e-15)
19: 29/129 = 0.2248062015503876 -> 0.22480620155039333 (delta = 5.717648576819556e-15)
20: 58/255 = 0.22745098039215686 -> 0.22745098039214895 (delta = 7.91033905045424e-15)
21: 32/129 = 0.24806201550387597 -> 0.2480620155038764 (delta = 4.440892098500626e-16)
22: 16/63 = 0.25396825396825395 -> 0.25396825396825307 (delta = 8.881784197001252e-16)
23: 38/129 = 0.29457364341085274 -> 0.2945736434108426 (delta = 1.0158540675320182e-14)
24: 19/63 = 0.30158730158730157 -> 0.30158730158730407 (delta = 2.4980018054066022e-15)
25: 1/3 = 0.3333333333333333 -> 0.3333333333333357 (delta = 2.3869795029440866e-15)
26: 22/63 = 0.3492063492063492 -> 0.34920634920634797 (delta = 1.2212453270876722e-15)
27: 50/129 = 0.3875968992248062 -> 0.38759689922480334 (delta = 2.886579864025407e-15)
28: 25/63 = 0.3968253968253968 -> 0.39682539682539186 (delta = 4.9404924595819466e-15)
29: 53/129 = 0.4108527131782946 -> 0.4108527131782864 (delta = 8.1601392309949e-15)
30: 106/255 = 0.41568627450980394 -> 0.41568627450982376 (delta = 1.9817480989559044e-14)
31: 56/129 = 0.43410852713178294 -> 0.4341085271317837 (delta = 7.771561172376096e-16)
32: 4/9 = 0.4444444444444444 -> 0.44444444444444287 (delta = 1.5543122344752192e-15)
33: 62/129 = 0.4806201550387597 -> 0.4806201550387641 (delta = 4.385380947269368e-15)
34: 31/63 = 0.49206349206349204 -> 0.49206349206349387 (delta = 1.8318679906315083e-15)
35: 65/129 = 0.5038759689922481 -> 0.5038759689922472 (delta = 8.881784197001252e-16)
36: 26/51 = 0.5098039215686274 -> 0.5098039215686185 (delta = 8.881784197001252e-15)
37: 133/258 = 0.5155038759689923 -> 0.5155038759689887 (delta = 3.552713678800501e-15)
38: 65/126 = 0.5158730158730159 -> 0.5158730158730194 (delta = 3.4416913763379853e-15)
39: 68/129 = 0.5271317829457365 -> 0.5271317829457303 (delta = 6.217248937900877e-15)
40: 8/15 = 0.5333333333333333 -> 0.5333333333333314 (delta = 1.887379141862766e-15)
41: 139/258 = 0.5387596899224806 -> 0.538759689922486 (delta = 5.440092820663267e-15)
42: 55/102 = 0.5392156862745098 -> 0.5392156862745026 (delta = 7.216449660063518e-15)
43: 278/513 = 0.5419103313840156 -> 0.541910331384031 (delta = 1.5432100042289676e-14)
44: 139/255 = 0.5450980392156862 -> 0.5450980392156737 (delta = 1.2545520178264269e-14)
45: 71/129 = 0.5503875968992248 -> 0.5503875968992276 (delta = 2.7755575615628914e-15)
46: 142/255 = 0.5568627450980392 -> 0.5568627450980443 (delta = 5.10702591327572e-15)
47: 145/258 = 0.562015503875969 -> 0.5620155038759691 (delta = 1.1102230246251565e-16)
48: 71/126 = 0.5634920634920635 -> 0.5634920634920633 (delta = 2.220446049250313e-16)
49: 74/129 = 0.5736434108527132 -> 0.5736434108527106 (delta = 2.55351295663786e-15)
50: 37/63 = 0.5873015873015873 -> 0.5873015873015888 (delta = 1.4432899320127035e-15)
51: 77/129 = 0.5968992248062015 -> 0.5968992248062079 (delta = 6.439293542825908e-15)
52: 154/255 = 0.6039215686274509 -> 0.6039215686274417 (delta = 9.2148511043888e-15)
53: 157/258 = 0.6085271317829457 -> 0.6085271317829495 (delta = 3.774758283725532e-15)
54: 11/18 = 0.6111111111111112 -> 0.6111111111111143 (delta = 3.1086244689504383e-15)
55: 80/129 = 0.6201550387596899 -> 0.620155038759691 (delta = 1.1102230246251565e-15)
56: 32/51 = 0.6274509803921569 -> 0.6274509803921546 (delta = 2.220446049250313e-15)
57: 163/258 = 0.6317829457364341 -> 0.6317829457364326 (delta = 1.5543122344752192e-15)
58: 19/30 = 0.6333333333333333 -> 0.6333333333333258 (delta = 7.549516567451064e-15)
59: 326/513 = 0.6354775828460039 -> 0.635477582846022 (delta = 1.8096635301390052e-14)
60: 163/255 = 0.6392156862745098 -> 0.6392156862744969 (delta = 1.2878587085651816e-14)
61: 83/129 = 0.6434108527131783 -> 0.6434108527131741 (delta = 4.218847493575595e-15)
62: 166/255 = 0.6509803921568628 -> 0.6509803921568675 (delta = 4.773959005888173e-15)
63: 169/258 = 0.6550387596899225 -> 0.6550387596899157 (delta = 6.8833827526759706e-15)
64: 67/102 = 0.6568627450980392 -> 0.6568627450980387 (delta = 5.551115123125783e-16)
65: 338/513 = 0.6588693957115009 -> 0.6588693957115197 (delta = 1.8762769116165146e-14)
66: 169/255 = 0.6627450980392157 -> 0.6627450980392098 (delta = 5.88418203051333e-15)
67: 341/513 = 0.6647173489278753 -> 0.6647173489278657 (delta = 9.547918011776346e-15)
68: 2/3 = 0.6666666666666666 -> 0.6666666666666288 (delta = 3.785860513971784e-14)
69: 685/1026 = 0.6676413255360624 -> 0.6676413255360671 (delta = 4.773959005888173e-15)
70: 341/510 = 0.6686274509803921 -> 0.6686274509803809 (delta = 1.1213252548714081e-14)
71: 344/513 = 0.6705653021442495 -> 0.6705653021442686 (delta = 1.9095836023552692e-14)
72: 172/255 = 0.6745098039215687 -> 0.6745098039215804 (delta = 1.176836406102666e-14)
73: 175/258 = 0.6782945736434108 -> 0.678294573643413 (delta = 2.1094237467877974e-15)
74: 347/510 = 0.6803921568627451 -> 0.6803921568627516 (delta = 6.439293542825908e-15)
75: 350/513 = 0.682261208576998 -> 0.6822612085770174 (delta = 1.942890293094024e-14)
76: 35/51 = 0.6862745098039216 -> 0.6862745098039227 (delta = 1.1102230246251565e-15)
77: 89/129 = 0.689922480620155 -> 0.6899224806201545 (delta = 5.551115123125783e-16)
78: 178/255 = 0.6980392156862745 -> 0.6980392156862649 (delta = 9.547918011776346e-15)
79: 181/258 = 0.7015503875968992 -> 0.701550387596896 (delta = 3.219646771412954e-15)
80: 89/126 = 0.7063492063492064 -> 0.7063492063492092 (delta = 2.7755575615628914e-15)
81: 92/129 = 0.7131782945736435 -> 0.7131782945736376 (delta = 5.88418203051333e-15)
82: 184/255 = 0.7215686274509804 -> 0.7215686274509778 (delta = 2.55351295663786e-15)
83: 187/258 = 0.7248062015503876 -> 0.7248062015503933 (delta = 5.773159728050814e-15)
84: 371/510 = 0.7274509803921568 -> 0.727450980392149 (delta = 7.882583474838611e-15)
85: 374/513 = 0.7290448343079922 -> 0.7290448343080129 (delta = 2.0761170560490427e-14)
86: 11/15 = 0.7333333333333333 -> 0.7333333333333201 (delta = 1.3211653993039363e-14)
87: 95/129 = 0.7364341085271318 -> 0.7364341085271349 (delta = 3.1086244689504383e-15)
88: 38/51 = 0.7450980392156863 -> 0.7450980392156907 (delta = 4.440892098500626e-15)
89: 193/258 = 0.748062015503876 -> 0.7480620155038764 (delta = 4.440892098500626e-16)
90: 95/126 = 0.753968253968254 -> 0.7539682539682531 (delta = 8.881784197001252e-16)
91: 98/129 = 0.7596899224806202 -> 0.759689922480618 (delta = 2.220446049250313e-15)
92: 7/9 = 0.7777777777777778 -> 0.7777777777777786 (delta = 7.771561172376096e-16)
93: 101/129 = 0.7829457364341085 -> 0.7829457364341152 (delta = 6.772360450213455e-15)
94: 202/255 = 0.792156862745098 -> 0.7921568627450881 (delta = 9.880984919163893e-15)
95: 205/258 = 0.7945736434108527 -> 0.7945736434108568 (delta = 4.107825191113079e-15)
96: 101/126 = 0.8015873015873016 -> 0.8015873015873041 (delta = 2.4424906541753444e-15)
97: 104/129 = 0.8062015503875969 -> 0.8062015503875983 (delta = 1.4432899320127035e-15)
98: 52/63 = 0.8253968253968254 -> 0.8253968253968225 (delta = 2.886579864025407e-15)
99: 5/6 = 0.8333333333333334 -> 0.8333333333333321 (delta = 1.2212453270876722e-15)
100: 107/126 = 0.8492063492063492 -> 0.849206349206348 (delta = 1.2212453270876722e-15)
101: 110/129 = 0.8527131782945736 -> 0.8527131782945787 (delta = 5.10702591327572e-15)
102: 55/63 = 0.873015873015873 -> 0.8730158730158735 (delta = 4.440892098500626e-16)
103: 113/129 = 0.875968992248062 -> 0.8759689922480618 (delta = 2.220446049250313e-16)
104: 226/255 = 0.8862745098039215 -> 0.8862745098039113 (delta = 1.021405182655144e-14)
105: 229/258 = 0.8875968992248062 -> 0.8875968992248033 (delta = 2.886579864025407e-15)
106: 113/126 = 0.8968253968253969 -> 0.896825396825399 (delta = 2.1094237467877974e-15)
107: 116/129 = 0.8992248062015504 -> 0.8992248062015449 (delta = 5.551115123125783e-15)
108: 232/255 = 0.9098039215686274 -> 0.9098039215686242 (delta = 3.219646771412954e-15)
109: 235/258 = 0.9108527131782945 -> 0.9108527131783006 (delta = 6.106226635438361e-15)
110: 467/510 = 0.9156862745098039 -> 0.9156862745097953 (delta = 8.548717289613705e-15)
111: 470/513 = 0.9161793372319688 -> 0.9161793372319949 (delta = 2.609024107869118e-14)
112: 47/51 = 0.9215686274509803 -> 0.9215686274509665 (delta = 1.3877787807814457e-14)
113: 119/129 = 0.9224806201550387 -> 0.9224806201550422 (delta = 3.4416913763379853e-15)
114: 14/15 = 0.9333333333333333 -> 0.9333333333333371 (delta = 3.774758283725532e-15)
115: 241/258 = 0.9341085271317829 -> 0.9341085271317837 (delta = 7.771561172376096e-16)
116: 17/18 = 0.9444444444444444 -> 0.9444444444444429 (delta = 1.5543122344752192e-15)
117: 122/129 = 0.9457364341085271 -> 0.9457364341085253 (delta = 1.887379141862766e-15)
118: 61/63 = 0.9682539682539683 -> 0.9682539682539684 (delta = 1.1102230246251565e-16)
119: 125/129 = 0.9689922480620154 -> 0.9689922480620226 (delta = 7.105427357601002e-15)
120: 50/51 = 0.9803921568627451 -> 0.9803921568627345 (delta = 1.0547118733938987e-14)
121: 253/258 = 0.9806201550387597 -> 0.9806201550387641 (delta = 4.440892098500626e-15)
122: 125/126 = 0.9920634920634921 -> 0.9920634920634939 (delta = 1.7763568394002505e-15)
123: 128/129 = 0.9922480620155039 -> 0.9922480620155056 (delta = 1.7763568394002505e-15)
found 123 fixed points
A = { 2/129, 1/63, 5/129, 2/51, 8/129, 4/63, 14/129, 1/9, 17/129, 2/15, 20/129, 8/51, 86/513, 43/255, 23/129, 46/255, 26/129, 13/63, 29/129, 58/255, 32/129, 16/63, 38/129, 19/63, 1/3, 22/63, 50/129, 25/63, 53/129, 106/255, 56/129, 4/9, 62/129, 31/63, 65/129, 26/51, 133/258, 65/126, 68/129, 8/15, 139/258, 55/102, 278/513, 139/255, 71/129, 142/255, 145/258, 71/126, 74/129, 37/63, 77/129, 154/255, 157/258, 11/18, 80/129, 32/51, 163/258, 19/30, 326/513, 163/255, 83/129, 166/255, 169/258, 67/102, 338/513, 169/255, 341/513, 2/3, 685/1026, 341/510, 344/513, 172/255, 175/258, 347/510, 350/513, 35/51, 89/129, 178/255, 181/258, 89/126, 92/129, 184/255, 187/258, 371/510, 374/513, 11/15, 95/129, 38/51, 193/258, 95/126, 98/129, 7/9, 101/129, 202/255, 205/258, 101/126, 104/129, 52/63, 5/6, 107/126, 110/129, 55/63, 113/129, 226/255, 229/258, 113/126, 116/129, 232/255, 235/258, 467/510, 470/513, 47/51, 119/129, 14/15, 241/258, 17/18, 122/129, 61/63, 125/129, 50/51, 253/258, 125/126, 128/129 }
$A = \left\{ \frac{2}{129}, \frac{1}{63}, \frac{5}{129}, \frac{2}{51}, \frac{8}{129}, \frac{4}{63}, \frac{14}{129}, \frac{1}{9}, \frac{17}{129}, \frac{2}{15}, \frac{20}{129}, \frac{8}{51}, \frac{86}{513}, \frac{43}{255}, \frac{23}{129}, \frac{46}{255}, \frac{26}{129}, \frac{13}{63}, \frac{29}{129}, \frac{58}{255}, \frac{32}{129}, \frac{16}{63}, \frac{38}{129}, \frac{19}{63}, \frac{1}{3}, \frac{22}{63}, \frac{50}{129}, \frac{25}{63}, \frac{53}{129}, \frac{106}{255}, \frac{56}{129}, \frac{4}{9}, \frac{62}{129}, \frac{31}{63}, \frac{65}{129}, \frac{26}{51}, \frac{133}{258}, \frac{65}{126}, \frac{68}{129}, \frac{8}{15}, \frac{139}{258}, \frac{55}{102}, \frac{278}{513}, \frac{139}{255}, \frac{71}{129}, \frac{142}{255}, \frac{145}{258}, \frac{71}{126}, \frac{74}{129}, \frac{37}{63}, \frac{77}{129}, \frac{154}{255}, \frac{157}{258}, \frac{11}{18}, \frac{80}{129}, \frac{32}{51}, \frac{163}{258}, \frac{19}{30}, \frac{326}{513}, \frac{163}{255}, \frac{83}{129}, \frac{166}{255}, \frac{169}{258}, \frac{67}{102}, \frac{338}{513}, \frac{169}{255}, \frac{341}{513}, \frac{2}{3}, \frac{685}{1026}, \frac{341}{510}, \frac{344}{513}, \frac{172}{255}, \frac{175}{258}, \frac{347}{510}, \frac{350}{513}, \frac{35}{51}, \frac{89}{129}, \frac{178}{255}, \frac{181}{258}, \frac{89}{126}, \frac{92}{129}, \frac{184}{255}, \frac{187}{258}, \frac{371}{510}, \frac{374}{513}, \frac{11}{15}, \frac{95}{129}, \frac{38}{51}, \frac{193}{258}, \frac{95}{126}, \frac{98}{129}, \frac{7}{9}, \frac{101}{129}, \frac{202}{255}, \frac{205}{258}, \frac{101}{126}, \frac{104}{129}, \frac{52}{63}, \frac{5}{6}, \frac{107}{126}, \frac{110}{129}, \frac{55}{63}, \frac{113}{129}, \frac{226}{255}, \frac{229}{258}, \frac{113}{126}, \frac{116}{129}, \frac{232}{255}, \frac{235}{258}, \frac{467}{510}, \frac{470}{513}, \frac{47}{51}, \frac{119}{129}, \frac{14}{15}, \frac{241}{258}, \frac{17}{18}, \frac{122}{129}, \frac{61}{63}, \frac{125}{129}, \frac{50}{51}, \frac{253}{258}, \frac{125}{126}, \frac{128}{129} \right\}, \, |A| = 123$
partitions: 11
A1 = { 2/3 }, |A1| = 1
A2 = { 1/3, 5/6 }, |A2| = 2
A3 = {  }, |A3| = 0
A4 = {  }, |A4| = 0
A5 = { 1/9, 2/15, 4/9, 8/15, 11/18, 19/30, 11/15, 7/9, 14/15, 17/18 }, |A5| = 10
A6 = {  }, |A6| = 0
A7 = {  }, |A7| = 0
A8 = {  }, |A8| = 0
A9 = {  }, |A9| = 0
A10 = { 2/129, 1/63, 5/129, 2/51, 8/129, 4/63, 14/129, 17/129, 20/129, 8/51, 86/513, 43/255, 23/129, 46/255, 26/129, 13/63, 29/129, 58/255, 32/129, 16/63, 38/129, 19/63, 22/63, 50/129, 25/63, 53/129, 106/255, 56/129, 62/129, 31/63, 65/129, 26/51, 133/258, 65/126, 68/129, 139/258, 55/102, 278/513, 139/255, 71/129, 142/255, 145/258, 71/126, 74/129, 37/63, 77/129, 154/255, 157/258, 80/129, 32/51, 163/258, 326/513, 163/255, 83/129, 166/255, 169/258, 67/102, 338/513, 169/255, 341/513, 685/1026, 341/510, 344/513, 172/255, 175/258, 347/510, 350/513, 35/51, 89/129, 178/255, 181/258, 89/126, 92/129, 184/255, 187/258, 371/510, 374/513, 95/129, 38/51, 193/258, 95/126, 98/129, 101/129, 202/255, 205/258, 101/126, 104/129, 52/63, 107/126, 110/129, 55/63, 113/129, 226/255, 229/258, 113/126, 116/129, 232/255, 235/258, 467/510, 470/513, 47/51, 119/129, 241/258, 122/129, 61/63, 125/129, 50/51, 253/258, 125/126, 128/129 }, |A10| = 110
A11 = {  }, |A11| = 0
$A_{1} = \left\{ \frac{2}{3} \right\}, |A_{1}| = 1$
$A_{2} = \left\{ \frac{1}{3}, \frac{5}{6} \right\}, |A_{2}| = 2$
$A_{3} = \left\{  \right\}, |A_{3}| = 0$
$A_{4} = \left\{  \right\}, |A_{4}| = 0$
$A_{5} = \left\{ \frac{1}{9}, \frac{2}{15}, \frac{4}{9}, \frac{8}{15}, \frac{11}{18}, \frac{19}{30}, \frac{11}{15}, \frac{7}{9}, \frac{14}{15}, \frac{17}{18} \right\}, |A_{5}| = 10$
$A_{6} = \left\{  \right\}, |A_{6}| = 0$
$A_{7} = \left\{  \right\}, |A_{7}| = 0$
$A_{8} = \left\{  \right\}, |A_{8}| = 0$
$A_{9} = \left\{  \right\}, |A_{9}| = 0$
$A_{10} = \left\{ \frac{2}{129}, \frac{1}{63}, \frac{5}{129}, \frac{2}{51}, \frac{8}{129}, \frac{4}{63}, \frac{14}{129}, \frac{17}{129}, \frac{20}{129}, \frac{8}{51}, \frac{86}{513}, \frac{43}{255}, \frac{23}{129}, \frac{46}{255}, \frac{26}{129}, \frac{13}{63}, \frac{29}{129}, \frac{58}{255}, \frac{32}{129}, \frac{16}{63}, \frac{38}{129}, \frac{19}{63}, \frac{22}{63}, \frac{50}{129}, \frac{25}{63}, \frac{53}{129}, \frac{106}{255}, \frac{56}{129}, \frac{62}{129}, \frac{31}{63}, \frac{65}{129}, \frac{26}{51}, \frac{133}{258}, \frac{65}{126}, \frac{68}{129}, \frac{139}{258}, \frac{55}{102}, \frac{278}{513}, \frac{139}{255}, \frac{71}{129}, \frac{142}{255}, \frac{145}{258}, \frac{71}{126}, \frac{74}{129}, \frac{37}{63}, \frac{77}{129}, \frac{154}{255}, \frac{157}{258}, \frac{80}{129}, \frac{32}{51}, \frac{163}{258}, \frac{326}{513}, \frac{163}{255}, \frac{83}{129}, \frac{166}{255}, \frac{169}{258}, \frac{67}{102}, \frac{338}{513}, \frac{169}{255}, \frac{341}{513}, \frac{685}{1026}, \frac{341}{510}, \frac{344}{513}, \frac{172}{255}, \frac{175}{258}, \frac{347}{510}, \frac{350}{513}, \frac{35}{51}, \frac{89}{129}, \frac{178}{255}, \frac{181}{258}, \frac{89}{126}, \frac{92}{129}, \frac{184}{255}, \frac{187}{258}, \frac{371}{510}, \frac{374}{513}, \frac{95}{129}, \frac{38}{51}, \frac{193}{258}, \frac{95}{126}, \frac{98}{129}, \frac{101}{129}, \frac{202}{255}, \frac{205}{258}, \frac{101}{126}, \frac{104}{129}, \frac{52}{63}, \frac{107}{126}, \frac{110}{129}, \frac{55}{63}, \frac{113}{129}, \frac{226}{255}, \frac{229}{258}, \frac{113}{126}, \frac{116}{129}, \frac{232}{255}, \frac{235}{258}, \frac{467}{510}, \frac{470}{513}, \frac{47}{51}, \frac{119}{129}, \frac{241}{258}, \frac{122}{129}, \frac{61}{63}, \frac{125}{129}, \frac{50}{51}, \frac{253}{258}, \frac{125}{126}, \frac{128}{129} \right\}, |A_{10}| = 110$
$A_{11} = \left\{  \right\}, |A_{11}| = 0$
rat_cache hits: 251 of 375 lookups