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On this page are computer-accessible forms for the graph C4[ 264, 22 ] =
PL(Curtain_33(1,11,1,2,24),[4^33,6^22]).
(I) Following is a form readable by MAGMA:
g:=Graph<264|{ {130, 141}, {131, 158}, {128, 158}, {129, 158}, {128, 167}, {129,
169}, {129, 200}, {131, 200}, {129, 207}, {132, 214}, {131, 214}, {128, 234},
{128, 235}, {130, 238}, {27, 155}, {109, 237}, {60, 188}, {38, 166}, {37, 165},
{64, 192}, {68, 196}, {91, 219}, {4, 133}, {112, 241}, {58, 187}, {56, 185},
{51, 178}, {49, 176}, {27, 154}, {22, 151}, {6, 135}, {13, 143}, {125, 255},
{97, 227}, {55, 181}, {101, 230}, {124, 255}, {1, 133}, {123, 255}, {96, 228},
{57, 189}, {3, 135}, {2, 135}, {1, 135}, {58, 188}, {69, 195}, {90, 220}, {43,
172}, {87, 208}, {7, 143}, {94, 214}, {54, 190}, {17, 155}, {108, 230}, {105,
227}, {25, 147}, {24, 146}, {79, 197}, {24, 147}, {116, 255}, {77, 198}, {9,
133}, {104, 228}, {65, 205}, {31, 146}, {96, 237}, {53, 184}, {48, 189}, {34,
175}, {48, 190}, {56, 182}, {76, 194}, {21, 154}, {105, 230}, {103, 232}, {23,
152}, {73, 198}, {82, 221}, {91, 212}, {39, 183}, {44, 188}, {83, 195}, {123,
234}, {125, 236}, {20, 134}, {120, 234}, {99, 241}, {50, 160}, {69, 215}, {29,
142}, {78, 221}, {30, 138}, {109, 249}, {87, 195}, {30, 139}, {63, 170}, {36,
177}, {5, 147}, {103, 241}, {36, 178}, {12, 154}, {79, 217}, {82, 196}, {18,
133}, {127, 232}, {121, 238}, {102, 241}, {74, 221}, {80, 199}, {81, 198}, {40,
176}, {90, 194}, {10, 147}, {115, 234}, {106, 243}, {64, 217}, {73, 208}, {77,
215}, {32, 187}, {119, 236}, {115, 232}, {112, 235}, {6, 154}, {113, 237}, {62,
162}, {42, 182}, {41, 181}, {19, 143}, {14, 146}, {71, 219}, {19, 142}, {80,
205}, {49, 175}, {68, 218}, {20, 139}, {119, 232}, {16, 176}, {117, 213}, {52,
148}, {84, 244}, {5, 164}, {43, 138}, {42, 139}, {40, 137}, {25, 184}, {74,
235}, {59, 153}, {95, 253}, {88, 250}, {29, 190}, {118, 213}, {2, 166}, {31,
187}, {28, 184}, {65, 229}, {35, 134}, {111, 202}, {75, 238}, {83, 246}, {85,
240}, {88, 254}, {93, 251}, {3, 164}, {116, 211}, {95, 248}, {41, 142}, {22,
177}, {51, 155}, {98, 202}, {15, 166}, {124, 213}, {15, 165}, {60, 150}, {26,
176}, {84, 254}, {7, 172}, {126, 213}, {100, 207}, {86, 253}, {8, 164}, {102,
202}, {53, 153}, {10, 166}, {9, 165}, {85, 249}, {34, 143}, {106, 199}, {101,
200}, {66, 239}, {21, 187}, {114, 220}, {94, 240}, {93, 243}, {92, 242}, {16,
191}, {127, 208}, {67, 236}, {13, 189}, {100, 212}, {62, 142}, {37, 148}, {98,
211}, {76, 253}, {23, 165}, {110, 220}, {4, 183}, {57, 138}, {11, 184}, {88,
235}, {63, 139}, {76, 248}, {89, 237}, {17, 164}, {122, 207}, {39, 146}, {66,
247}, {72, 253}, {67, 245}, {32, 151}, {47, 152}, {44, 155}, {71, 240}, {89,
238}, {7, 191}, {122, 194}, {46, 150}, {33, 153}, {70, 254}, {8, 177}, {46,
151}, {33, 152}, {72, 242}, {126, 196}, {114, 200}, {92, 230}, {12, 183}, {121,
194}, {26, 161}, {75, 240}, {11, 183}, {120, 196}, {118, 202}, {104, 212}, {16,
172}, {2, 191}, {107, 214}, {97, 220}, {81, 236}, {1, 191}, {113, 207}, {55,
137}, {14, 177}, {111, 208}, {107, 212}, {54, 137}, {38, 153}, {34, 226}, {41,
233}, {36, 228}, {13, 204}, {108, 173}, {59, 250}, {55, 246}, {53, 244}, {2,
192}, {96, 162}, {95, 157}, {94, 156}, {57, 251}, {55, 245}, {37, 231}, {35,
224}, {105, 170}, {61, 254}, {58, 249}, {92, 159}, {8, 204}, {27, 223}, {9,
205}, {26, 223}, {118, 179}, {109, 168}, {107, 174}, {61, 248}, {17, 215}, {97,
167}, {53, 243}, {37, 227}, {82, 148}, {87, 145}, {38, 225}, {111, 168}, {61,
250}, {48, 247}, {65, 134}, {9, 193}, {101, 173}, {96, 168}, {94, 150}, {52,
252}, {89, 145}, {24, 209}, {110, 167}, {10, 192}, {106, 160}, {104, 162}, {100,
174}, {43, 225}, {21, 223}, {64, 138}, {7, 204}, {106, 161}, {104, 163}, {97,
170}, {25, 210}, {12, 199}, {27, 215}, {56, 244}, {29, 209}, {19, 222}, {22,
219}, {69, 136}, {88, 149}, {11, 197}, {116, 186}, {101, 171}, {44, 226}, {43,
229}, {15, 193}, {16, 223}, {90, 149}, {123, 171}, {45, 252}, {51, 226}, {38,
244}, {102, 180}, {33, 242}, {122, 169}, {103, 180}, {49, 226}, {12, 216}, {119,
163}, {67, 151}, {44, 249}, {102, 179}, {29, 203}, {127, 169}, {80, 134}, {45,
250}, {127, 168}, {112, 167}, {62, 233}, {52, 227}, {51, 228}, {47, 248}, {10,
210}, {115, 171}, {98, 186}, {57, 225}, {19, 203}, {73, 145}, {114, 171}, {83,
137}, {5, 222}, {46, 245}, {83, 136}, {25, 197}, {41, 245}, {68, 152}, {3, 222},
{22, 203}, {17, 204}, {75, 150}, {85, 136}, {6, 216}, {125, 163}, {119, 169},
{30, 192}, {74, 148}, {13, 210}, {18, 205}, {74, 149}, {28, 252}, {124, 156},
{113, 145}, {93, 189}, {39, 199}, {1, 224}, {126, 159}, {124, 157}, {113, 144},
{40, 201}, {8, 233}, {48, 210}, {111, 141}, {63, 221}, {59, 217}, {56, 218},
{77, 175}, {6, 229}, {115, 144}, {45, 206}, {24, 251}, {21, 246}, {66, 161},
{81, 178}, {4, 224}, {11, 239}, {78, 170}, {23, 242}, {109, 136}, {3, 229},
{120, 158}, {14, 233}, {123, 156}, {120, 159}, {114, 149}, {54, 209}, {31, 247},
{31, 246}, {49, 216}, {32, 201}, {68, 173}, {69, 175}, {89, 179}, {92, 182}, {4,
239}, {118, 157}, {42, 193}, {87, 188}, {35, 206}, {65, 172}, {67, 174}, {84,
185}, {15, 225}, {18, 252}, {90, 180}, {91, 181}, {28, 243}, {99, 140}, {98,
141}, {60, 211}, {36, 203}, {77, 162}, {79, 160}, {85, 186}, {23, 231}, {42,
218}, {40, 216}, {80, 161}, {108, 157}, {71, 181}, {20, 231}, {58, 201}, {20,
224}, {121, 141}, {100, 144}, {26, 239}, {121, 140}, {47, 218}, {39, 209}, {122,
140}, {105, 159}, {79, 185}, {50, 197}, {107, 156}, {103, 144}, {33, 217}, {62,
198}, {75, 179}, {76, 180}, {91, 163}, {14, 247}, {30, 231}, {64, 185}, {52,
206}, {32, 219}, {73, 178}, {34, 222}, {112, 140}, {50, 206}, {66, 190}, {46,
211}, {71, 186}, {93, 160}, {5, 251}, {63, 193}, {72, 182}, {54, 201}, {60,
195}, {81, 174}, {82, 173}, {18, 259}, {28, 259}, {35, 264}, {47, 257}, {45,
258}, {59, 258}, {50, 264}, {61, 257}, {70, 263}, {70, 259}, {78, 264}, {78,
259}, {70, 264}, {72, 262}, {86, 262}, {86, 263}, {84, 263}, {86, 258}, {95,
256}, {99, 257}, {99, 262}, {110, 263}, {108, 256}, {110, 258}, {116, 260},
{117, 261}, {117, 262}, {117, 257}, {125, 260}, {126, 261}, {132, 260}, {132,
261}, {130, 256}, {132, 256}, {130, 261}, {131, 260} }>;
(II) A more general form is to represent the graph as the orbit of {130, 141}
under the group generated by the following permutations:
a: (1, 2)(3, 6)(4, 10)(5, 12)(7, 16)(8, 21)(9, 30)(11, 25)(13, 26)(14, 31)(15,
20)(17, 27)(18, 64)(19, 40)(22, 32)(23, 37)(24, 39)(28, 79)(29, 54)(33, 52)(34,
49)(35, 38)(36, 58)(41, 55)(42, 63)(43, 65)(44, 51)(45, 59)(46, 91)(47, 74)(48,
66)(50, 53)(56, 78)(57, 80)(60, 104)(61, 88)(62, 83)(67, 71)(68, 82)(69, 77)(70,
84)(72, 97)(73, 109)(75, 119)(76, 90)(81, 85)(86, 110)(87, 96)(89, 127)(92,
105)(93, 106)(94, 125)(95, 114)(98, 100)(99, 112)(101, 108)(102, 103)(107,
116)(111, 113)(115, 118)(117, 128)(120, 126)(121, 122)(123, 124)(129, 130)(131,
132)(133, 192)(134, 225)(136, 198)(137, 142)(138, 205)(139, 193)(141, 207)(143,
176)(144, 202)(145, 168)(147, 183)(148, 152)(149, 248)(150, 163)(151, 219)(153,
206)(154, 164)(156, 255)(157, 171)(158, 261)(160, 243)(161, 189)(162, 195)(165,
231)(166, 224)(167, 262)(169, 238)(170, 182)(174, 186)(177, 187)(178, 249)(179,
232)(181, 245)(184, 197)(185, 259)(188, 228)(199, 251)(200, 256)(201, 203)(204,
223)(208, 237)(210, 239)(211, 212)(213, 234)(214, 260)(216, 222)(217, 252)(218,
221)(220, 253)(227, 242)(233, 246)(235, 257)(236, 240)(244, 264) (III) Last is Groups&Graphs. Copy everything between (not including)
the lines of asterisks into a plain text file and save it as "graph.txt". Then
launch G&G (Groups&Graphs) and select Read Text from the File menu.
**************
&Graph **************
b: (46, 71)(60, 85)(67, 91)(73, 96)(75, 98)(81, 104)(87, 109)(89, 111)(94,
116)(100, 119)(107, 125)(113, 127)(136, 195)(141, 238)(144, 232)(145, 168)(150,
186)(151, 219)(156, 255)(162, 198)(163, 174)(169, 207)(178, 228)(179, 202)(181,
245)(188, 249)(208, 237)(211, 240)(212, 236)(214, 260)
c: (3, 7)(5, 13)(6, 16)(8, 19)(12, 26)(14, 29)(17, 34)(21, 40)(24, 48)(27,
49)(31, 54)(39, 66)(135, 191)(137, 246)(142, 233)(143, 164)(146, 190)(147,
210)(154, 176)(155, 226)(161, 199)(172, 229)(175, 215)(177, 203)(183, 239)(187,
201)(189, 251)(204, 222)(209, 247)(216, 223)
d: (75, 98)(89, 111)(94, 116)(100, 119)(107, 125)(113, 127)(141, 238)(144,
232)(145, 208)(150, 211)(156, 255)(163, 212)(168, 237)(169, 207)(174, 236)(179,
202)(186, 240)(214, 260)
e: (1, 3, 19, 22, 46, 98, 102, 112, 74, 37, 30, 10, 24, 54, 58, 87, 127, 115,
120, 68, 33, 79, 11, 12, 49, 51, 81, 125, 124, 117, 61, 45, 35)(2, 5, 29, 32,
60, 111, 103, 128, 82, 23, 64, 25, 39, 40, 44, 73, 119, 123, 126, 47, 59, 50, 4,
6, 34, 36, 67, 116, 118, 99, 88, 52, 20)(7, 8, 41, 71, 75, 121, 90, 97, 63, 15,
57, 48, 31, 83, 109, 113, 129, 101, 92, 56, 53, 106, 26, 27, 77, 104, 107, 132,
95, 86, 70, 18, 65)(9, 43, 13, 14, 55, 85, 89, 122, 114, 105, 42, 38, 93, 66,
21, 69, 96, 100, 131, 108, 72, 84, 28, 80, 16, 17, 62, 91, 94, 130, 76, 110,
78)(133, 229, 143, 177, 245, 186, 179, 140, 149, 227, 139, 166, 251, 190, 187,
195, 168, 144, 158, 173, 242, 185, 184, 199, 176, 155, 198, 163, 156, 261, 248,
258, 264)(134, 191, 164, 142, 219, 150, 141, 180, 167, 221, 165, 138, 210, 146,
137, 249, 145, 169, 171, 159, 218, 153, 160, 239, 154, 175, 228, 174, 260, 157,
262, 254, 252)(135, 222, 203, 151, 211, 202, 241, 235, 148, 231, 192, 147, 209,
201, 188, 208, 232, 234, 196, 152, 217, 197, 183, 216, 226, 178, 236, 255, 213,
257, 250, 206, 224)(136, 237, 207, 200, 230, 182, 244, 243, 161, 223, 215, 162,
212, 214, 256, 253, 263, 259, 205, 172, 204, 233, 181, 240, 238, 194, 220, 170,
193, 225, 189, 247, 246)
f: (9, 20)(15, 30)(18, 35)(28, 50)(38, 64)(53, 79)(133, 224)(134, 205)(138,
225)(139, 193)(153, 217)(160, 243)(165, 231)(166, 192)(184, 197)(185, 244)(206,
252)(259, 264)
g: (22, 41)(32, 55)(36, 62)(44, 69)(51, 77)(58, 83)(136, 249)(137, 201)(142,
203)(151, 245)(155, 215)(162, 228)(175, 226)(177, 233)(178, 198)(181, 219)(187,
246)(188, 195)
h: (8, 19)(14, 29)(17, 34)(21, 40)(27, 49)(31, 54)(137, 246)(142, 233)(143,
204)(146, 209)(154, 216)(155, 226)(164, 222)(175, 215)(176, 223)(177, 203)(187,
201)(190, 247)
m: (9, 20)(15, 30)(18, 35)(23, 42)(28, 50)(33, 56)(37, 63)(38, 64)(45, 70)(52,
78)(53, 79)(59, 84)(133, 224)(134, 205)(138, 225)(139, 165)(148, 221)(152,
218)(153, 185)(160, 243)(166, 192)(170, 227)(182, 242)(184, 197)(193, 231)(206,
259)(217, 244)(250, 254)(252, 264)(258, 263)
n1: (47, 72)(61, 86)(68, 92)(74, 97)(82, 105)(88, 110)(148, 227)(149, 220)(152,
242)(159, 196)(167, 235)(170, 221)(173, 230)(182, 218)(248, 253)(250, 258)(254,
263)(257, 262)
a1: (2, 4)(3, 18)(5, 28)(6, 9)(7, 35)(8, 45)(10, 11)(12, 15)(13, 50)(14, 59)(16,
20)(17, 52)(19, 70)(21, 23)(22, 61)(24, 53)(26, 30)(27, 37)(29, 84)(31, 33)(32,
47)(34, 78)(36, 88)(38, 39)(40, 42)(41, 86)(43, 80)(44, 82)(46, 95)(48, 79)(49,
63)(51, 74)(54, 56)(55, 72)(57, 106)(58, 68)(60, 108)(62, 110)(64, 66)(67,
76)(69, 105)(71, 117)(73, 114)(75, 124)(77, 97)(81, 90)(83, 92)(85, 126)(87,
101)(89, 123)(91, 99)(94, 118)(96, 128)(98, 132)(100, 103)(102, 107)(104,
112)(109, 120)(111, 131)(113, 115)(116, 130)(119, 122)(121, 125)(127, 129)(133,
135)(134, 172)(136, 159)(137, 182)(138, 161)(139, 176)(140, 163)(141, 260)(142,
263)(143, 264)(145, 171)(146, 153)(147, 184)(148, 155)(149, 178)(150, 157)(151,
248)(152, 187)(154, 165)(156, 179)(158, 168)(160, 189)(162, 167)(164, 252)(166,
183)(170, 175)(173, 188)(174, 180)(177, 250)(181, 262)(185, 190)(186, 261)(191,
224)(192, 239)(193, 216)(194, 236)(195, 230)(196, 249)(197, 210)(198, 220)(199,
225)(200, 208)(201, 218)(202, 214)(203, 254)(204, 206)(205, 229)(207, 232)(209,
244)(211, 256)(212, 241)(213, 240)(215, 227)(217, 247)(219, 257)(221, 226)(222,
259)(223, 231)(228, 235)(233, 258)(234, 237)(238, 255)(242, 246)(243, 251)(245,
253)
C4[ 264, 22 ]
264
-1 133 135 191 224
-2 166 135 191 192
-3 222 135 229 164
-4 133 224 183 239
-5 222 147 251 164
-6 154 135 216 229
-7 143 191 204 172
-8 177 233 204 164
-9 165 133 193 205
-10 166 210 147 192
-11 183 184 239 197
-12 154 199 183 216
-13 143 210 189 204
-14 177 233 146 247
-15 165 166 225 193
-16 176 223 191 172
-17 155 204 215 164
-18 133 259 205 252
-19 143 222 203 142
-20 231 134 224 139
-21 154 187 223 246
-22 177 203 151 219
-23 165 231 242 152
-24 209 146 147 251
-25 210 147 184 197
-26 176 223 161 239
-27 154 155 223 215
-28 243 259 184 252
-29 209 190 203 142
-30 231 192 138 139
-31 187 146 246 247
-32 187 201 151 219
-33 242 217 152 153
-34 143 222 226 175
-35 264 134 224 206
-36 177 178 203 228
-37 165 231 148 227
-38 166 244 225 153
-39 209 199 146 183
-40 176 201 137 216
-41 233 245 181 142
-42 182 193 139 218
-43 225 138 172 229
-44 155 188 226 249
-45 258 206 250 252
-46 211 245 150 151
-47 257 248 152 218
-48 210 189 190 247
-49 176 226 216 175
-50 264 160 206 197
-51 155 178 226 228
-52 148 227 206 252
-53 243 244 184 153
-54 209 190 201 137
-55 245 246 137 181
-56 244 182 185 218
-57 189 225 138 251
-58 187 188 201 249
-59 258 217 250 153
-60 188 211 150 195
-61 254 257 248 250
-62 198 233 162 142
-63 221 170 193 139
-64 192 138 217 185
-65 134 172 205 229
-66 190 247 161 239
-67 245 236 151 174
-68 173 152 196 218
-69 136 215 195 175
-70 264 254 259 263
-71 181 240 186 219
-72 242 253 182 262
-73 198 145 178 208
-74 221 235 148 149
-75 179 150 238 240
-76 253 180 248 194
-77 198 215 162 175
-78 264 221 170 259
-79 160 217 185 197
-80 199 134 161 205
-81 198 178 236 174
-82 221 148 173 196
-83 136 246 137 195
-84 254 244 185 263
-85 136 249 240 186
-86 253 258 262 263
-87 188 145 195 208
-88 254 235 149 250
-89 145 179 237 238
-90 220 180 149 194
-91 212 181 163 219
-92 242 159 182 230
-93 243 189 160 251
-94 156 214 150 240
-95 253 157 256 248
-96 168 237 162 228
-97 220 167 170 227
-98 211 202 141 186
-99 257 140 262 241
-100 144 212 174 207
-101 200 171 173 230
-102 179 180 202 241
-103 144 232 180 241
-104 212 162 228 163
-105 159 170 227 230
-106 199 243 160 161
-107 156 212 214 174
-108 157 256 173 230
-109 168 136 237 249
-110 220 167 258 263
-111 168 202 141 208
-112 167 235 140 241
-113 144 145 237 207
-114 220 200 149 171
-115 144 232 234 171
-116 211 255 260 186
-117 213 257 261 262
-118 157 179 202 213
-119 232 169 236 163
-120 234 158 159 196
-121 194 238 140 141
-122 169 194 140 207
-123 156 255 234 171
-124 156 255 157 213
-125 255 236 260 163
-126 213 159 261 196
-127 232 168 169 208
-128 167 234 158 235
-129 200 158 169 207
-130 256 238 261 141
-131 200 158 214 260
-132 256 214 260 261
-133 1 4 18 9
-134 35 80 20 65
-135 1 2 3 6
-136 69 83 85 109
-137 55 83 40 54
-138 57 30 64 43
-139 30 63 20 42
-140 99 121 122 112
-141 121 111 130 98
-142 29 62 19 41
-143 34 13 7 19
-144 100 113 103 115
-145 89 113 73 87
-146 24 14 39 31
-147 24 25 5 10
-148 37 82 52 74
-149 88 90 114 74
-150 46 60 94 75
-151 22 67 46 32
-152 33 23 68 47
-153 33 59 38 53
-154 12 27 6 21
-155 44 27 17 51
-156 123 124 94 107
-157 124 95 118 108
-158 128 129 120 131
-159 92 126 105 120
-160 79 93 50 106
-161 66 80 26 106
-162 77 104 62 96
-163 91 125 104 119
-164 3 5 17 8
-165 23 15 37 9
-166 2 15 38 10
-167 110 112 128 97
-168 111 127 96 109
-169 122 127 129 119
-170 78 105 63 97
-171 101 123 114 115
-172 16 7 43 65
-173 68 101 82 108
-174 67 100 81 107
-175 77 34 69 49
-176 26 16 49 40
-177 22 14 36 8
-178 36 81 51 73
-179 89 102 118 75
-180 90 102 103 76
-181 55 91 71 41
-182 56 92 72 42
-183 11 12 4 39
-184 11 25 28 53
-185 56 79 84 64
-186 71 116 85 98
-187 58 31 21 32
-188 44 58 60 87
-189 13 57 48 93
-190 66 48 29 54
-191 1 2 16 7
-192 2 30 64 10
-193 15 63 9 42
-194 121 122 90 76
-195 69 60 83 87
-196 68 82 126 120
-197 11 79 25 50
-198 77 81 62 73
-199 12 80 39 106
-200 101 114 129 131
-201 58 40 32 54
-202 111 102 118 98
-203 22 36 29 19
-204 13 17 7 8
-205 80 18 9 65
-206 45 35 50 52
-207 100 122 113 129
-208 111 127 73 87
-209 24 39 29 54
-210 13 25 48 10
-211 46 60 116 98
-212 100 91 104 107
-213 124 126 117 118
-214 132 94 107 131
-215 77 69 27 17
-216 12 49 6 40
-217 33 79 59 64
-218 56 68 47 42
-219 22 91 71 32
-220 110 90 114 97
-221 78 82 63 74
-222 34 3 5 19
-223 26 16 27 21
-224 1 35 4 20
-225 57 15 38 43
-226 44 34 49 51
-227 37 105 52 97
-228 36 104 51 96
-229 3 6 43 65
-230 101 92 105 108
-231 23 37 30 20
-232 103 115 127 119
-233 14 62 8 41
-234 123 115 128 120
-235 88 112 128 74
-236 67 81 125 119
-237 89 113 96 109
-238 121 89 75 130
-239 11 66 4 26
-240 71 94 85 75
-241 99 112 102 103
-242 33 23 92 72
-243 93 28 106 53
-244 56 38 84 53
-245 55 67 46 41
-246 55 83 31 21
-247 66 14 48 31
-248 47 61 95 76
-249 44 58 85 109
-250 88 45 59 61
-251 24 57 5 93
-252 45 28 18 52
-253 72 95 86 76
-254 88 70 61 84
-255 123 124 125 116
-256 132 95 108 130
-257 99 47 61 117
-258 110 45 59 86
-259 78 70 28 18
-260 132 125 116 131
-261 132 126 117 130
-262 99 72 117 86
-263 110 70 84 86
-264 78 35 70 50
0