C4graphGraph forms for C4 [ 296, 12 ] = SDD(C_74(1,31))

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On this page are computer-accessible forms for the graph C4[ 296, 12 ] = SDD(C_74(1,31)).

(I) Following is a form readable by MAGMA:

g:=Graph<296|{ {128, 201}, {148, 221}, {146, 219}, {144, 217}, {134, 207}, {132, 205}, {130, 203}, {128, 202}, {148, 222}, {145, 219}, {144, 218}, {133, 207}, {132, 206}, {129, 203}, {129, 202}, {145, 218}, {133, 206}, {130, 204}, {147, 221}, {146, 220}, {131, 205}, {131, 204}, {147, 220}, {134, 208}, {143, 217}, {142, 216}, {135, 209}, {135, 208}, {143, 216}, {136, 209}, {142, 215}, {140, 213}, {138, 211}, {136, 210}, {141, 215}, {140, 214}, {137, 211}, {137, 210}, {141, 214}, {138, 212}, {139, 213}, {139, 212}, {30, 158}, {32, 160}, {94, 222}, {28, 157}, {31, 158}, {29, 159}, {35, 161}, {29, 158}, {35, 160}, {72, 203}, {78, 205}, {24, 156}, {38, 162}, {36, 160}, {26, 158}, {88, 220}, {25, 156}, {37, 160}, {27, 157}, {39, 161}, {91, 221}, {26, 157}, {38, 161}, {75, 204}, {87, 208}, {18, 154}, {44, 164}, {42, 162}, {20, 156}, {82, 218}, {16, 153}, {43, 162}, {40, 161}, {19, 154}, {17, 155}, {47, 165}, {41, 163}, {23, 157}, {17, 154}, {47, 164}, {41, 162}, {23, 156}, {66, 201}, {90, 209}, {22, 155}, {46, 163}, {21, 155}, {45, 163}, {85, 219}, {20, 155}, {44, 163}, {69, 202}, {93, 210}, {6, 150}, {56, 168}, {54, 166}, {8, 152}, {70, 214}, {4, 149}, {55, 166}, {52, 165}, {7, 150}, {5, 151}, {59, 169}, {53, 167}, {11, 153}, {5, 150}, {59, 168}, {53, 166}, {11, 152}, {1, 149}, {62, 170}, {60, 168}, {50, 166}, {48, 164}, {14, 154}, {12, 152}, {64, 212}, {76, 216}, {13, 152}, {61, 168}, {49, 164}, {3, 149}, {51, 165}, {15, 153}, {63, 169}, {67, 213}, {79, 217}, {1, 150}, {62, 169}, {50, 165}, {14, 153}, {2, 149}, {36, 191}, {84, 207}, {10, 151}, {98, 255}, {58, 167}, {9, 151}, {97, 255}, {57, 167}, {73, 215}, {96, 254}, {8, 151}, {56, 167}, {33, 190}, {81, 206}, {93, 253}, {95, 255}, {92, 253}, {95, 254}, {92, 254}, {24, 187}, {30, 189}, {88, 251}, {94, 253}, {89, 253}, {89, 252}, {90, 252}, {27, 188}, {91, 252}, {81, 249}, {118, 222}, {83, 251}, {80, 249}, {116, 221}, {83, 250}, {80, 250}, {86, 252}, {18, 185}, {112, 219}, {82, 249}, {87, 251}, {86, 251}, {84, 250}, {114, 220}, {21, 186}, {85, 250}, {69, 245}, {102, 214}, {71, 247}, {68, 245}, {100, 213}, {71, 246}, {68, 246}, {106, 216}, {74, 248}, {6, 181}, {64, 243}, {70, 245}, {96, 211}, {65, 245}, {110, 218}, {77, 249}, {65, 244}, {117, 192}, {108, 217}, {77, 248}, {2, 180}, {127, 201}, {126, 200}, {119, 193}, {98, 212}, {66, 244}, {78, 248}, {15, 184}, {127, 200}, {119, 192}, {67, 244}, {79, 248}, {120, 193}, {126, 199}, {124, 197}, {122, 195}, {120, 194}, {125, 199}, {124, 198}, {121, 195}, {12, 183}, {125, 198}, {121, 194}, {76, 247}, {75, 247}, {34, 159}, {74, 247}, {33, 159}, {123, 197}, {122, 196}, {72, 246}, {9, 182}, {123, 196}, {104, 215}, {32, 159}, {73, 246}, {45, 237}, {47, 239}, {44, 237}, {47, 238}, {44, 238}, {50, 240}, {3, 192}, {46, 237}, {40, 235}, {41, 237}, {53, 241}, {41, 236}, {53, 240}, {7, 193}, {54, 240}, {42, 236}, {43, 236}, {55, 240}, {10, 194}, {59, 243}, {57, 241}, {35, 235}, {33, 233}, {32, 233}, {118, 191}, {59, 242}, {56, 241}, {35, 234}, {32, 234}, {117, 191}, {116, 190}, {56, 242}, {38, 236}, {62, 244}, {34, 233}, {58, 241}, {39, 235}, {115, 191}, {113, 189}, {112, 188}, {63, 243}, {38, 235}, {115, 190}, {62, 243}, {13, 195}, {60, 242}, {36, 234}, {37, 234}, {114, 189}, {113, 190}, {61, 242}, {22, 198}, {107, 187}, {105, 185}, {104, 184}, {102, 183}, {109, 188}, {107, 186}, {100, 182}, {111, 189}, {101, 183}, {105, 186}, {111, 188}, {106, 185}, {16, 196}, {99, 183}, {97, 181}, {28, 200}, {96, 180}, {99, 182}, {110, 187}, {19, 197}, {109, 187}, {108, 186}, {31, 201}, {97, 182}, {98, 181}, {4, 222}, {4, 223}, {52, 239}, {3, 223}, {51, 239}, {2, 223}, {101, 184}, {50, 239}, {1, 223}, {103, 185}, {48, 238}, {25, 199}, {49, 238}, {103, 184}, {46, 206}, {78, 174}, {80, 176}, {1, 224}, {76, 173}, {79, 174}, {77, 175}, {83, 177}, {77, 174}, {83, 176}, {5, 225}, {52, 208}, {40, 204}, {72, 172}, {74, 174}, {84, 176}, {86, 178}, {5, 224}, {73, 172}, {85, 176}, {6, 224}, {55, 209}, {43, 205}, {75, 173}, {87, 177}, {7, 224}, {39, 192}, {74, 173}, {86, 177}, {9, 225}, {58, 210}, {34, 202}, {11, 227}, {66, 170}, {68, 172}, {90, 178}, {92, 180}, {8, 225}, {11, 226}, {64, 169}, {67, 170}, {88, 177}, {91, 178}, {8, 226}, {14, 228}, {65, 171}, {71, 173}, {89, 179}, {95, 181}, {10, 225}, {42, 193}, {65, 170}, {71, 172}, {89, 178}, {95, 180}, {15, 227}, {14, 227}, {70, 171}, {94, 179}, {12, 226}, {61, 211}, {37, 203}, {69, 171}, {93, 179}, {13, 226}, {45, 194}, {68, 171}, {92, 179}, {21, 229}, {23, 231}, {20, 229}, {23, 230}, {20, 230}, {26, 232}, {16, 227}, {54, 197}, {48, 195}, {22, 229}, {17, 229}, {29, 233}, {17, 228}, {29, 232}, {18, 228}, {30, 232}, {19, 228}, {51, 196}, {31, 232}, {63, 200}, {6, 255}, {28, 231}, {60, 199}, {2, 254}, {27, 231}, {26, 231}, {82, 175}, {24, 230}, {49, 207}, {81, 175}, {25, 230}, {57, 198}, {80, 175}, {13, 269}, {10, 268}, {22, 272}, {25, 273}, {3, 266}, {9, 256}, {7, 267}, {31, 275}, {12, 257}, {15, 258}, {28, 274}, {18, 259}, {21, 260}, {30, 263}, {19, 271}, {24, 261}, {27, 262}, {16, 270}, {61, 285}, {42, 267}, {45, 268}, {58, 284}, {49, 281}, {33, 264}, {57, 272}, {4, 296}, {55, 283}, {36, 265}, {60, 273}, {39, 266}, {63, 274}, {52, 282}, {37, 277}, {34, 276}, {46, 280}, {54, 271}, {43, 279}, {48, 269}, {51, 270}, {40, 278}, {90, 283}, {93, 284}, {102, 288}, {106, 290}, {81, 280}, {104, 289}, {110, 292}, {84, 281}, {87, 282}, {108, 291}, {66, 275}, {69, 276}, {116, 295}, {114, 294}, {112, 293}, {78, 279}, {67, 287}, {72, 277}, {75, 278}, {64, 286}, {118, 296}, {97, 256}, {99, 257}, {99, 256}, {100, 256}, {103, 259}, {101, 257}, {103, 258}, {70, 288}, {101, 258}, {102, 257}, {73, 289}, {111, 263}, {109, 261}, {108, 260}, {106, 259}, {111, 262}, {104, 258}, {105, 259}, {109, 262}, {110, 261}, {79, 291}, {127, 275}, {126, 274}, {125, 273}, {124, 272}, {105, 260}, {127, 274}, {125, 272}, {76, 290}, {107, 261}, {107, 260}, {126, 273}, {85, 293}, {120, 267}, {124, 271}, {120, 268}, {123, 271}, {122, 270}, {121, 269}, {114, 263}, {123, 270}, {121, 268}, {82, 292}, {113, 263}, {112, 262}, {94, 296}, {122, 269}, {113, 264}, {115, 265}, {100, 287}, {115, 264}, {91, 295}, {119, 267}, {117, 265}, {116, 264}, {98, 286}, {96, 285}, {119, 266}, {88, 294}, {117, 266}, {118, 265}, {128, 275}, {140, 287}, {136, 283}, {132, 279}, {128, 276}, {139, 287}, {138, 286}, {137, 285}, {136, 284}, {131, 279}, {130, 278}, {129, 277}, {129, 276}, {139, 286}, {137, 284}, {131, 278}, {130, 277}, {138, 285}, {132, 280}, {135, 283}, {134, 282}, {133, 281}, {133, 280}, {135, 282}, {134, 281}, {140, 288}, {143, 291}, {142, 290}, {141, 289}, {141, 288}, {143, 290}, {142, 289}, {144, 291}, {148, 295}, {144, 292}, {147, 295}, {146, 294}, {145, 293}, {145, 292}, {147, 294}, {146, 293}, {148, 296} }>;

(II) A more general form is to represent the graph as the orbit of {128, 201} under the group generated by the following permutations:

a: (181, 255)
b: (150, 224)
c: (160, 234)
d: (219, 293)
e: (188, 262)
f: (164, 238)
g: (212, 286)
h: (193, 267)
m: (215, 289)
n1: (158, 232)
a1: (186, 260)
b1: (206, 280)
c1: (155, 229)
d1: (205, 279)
e1: (190, 264)
f1: (180, 254)
g1: (217, 291)
h1: (179, 253)
m1: (218, 292)
n2: (2, 7)(3, 6)(4, 5)(8, 148)(9, 118)(10, 94)(11, 147)(12, 116)(13, 91)(14, 146)(15, 114)(16, 88)(17, 145)(18, 112)(19, 85)(20, 144)(21, 110)(22, 82)(23, 143)(24, 108)(25, 79)(26, 142)(27, 106)(28, 76)(29, 141)(30, 104)(31, 73)(32, 140)(33, 102)(34, 70)(35, 139)(36, 100)(37, 67)(38, 138)(39, 98)(40, 64)(41, 137)(42, 96)(43, 61)(44, 136)(45, 93)(46, 58)(47, 135)(48, 90)(49, 55)(50, 134)(51, 87)(53, 133)(54, 84)(56, 132)(57, 81)(59, 131)(60, 78)(62, 130)(63, 75)(65, 129)(66, 72)(68, 128)(71, 127)(74, 126)(77, 125)(80, 124)(83, 123)(86, 122)(89, 121)(92, 120)(95, 119)(97, 117)(99, 115)(101, 113)(103, 111)(105, 109)(149, 150)(151, 222)(152, 221)(153, 220)(154, 219)(155, 218)(156, 217)(157, 216)(158, 215)(159, 214)(160, 213)(161, 212)(162, 211)(163, 210)(164, 209)(165, 208)(166, 207)(167, 206)(168, 205)(169, 204)(170, 203)(171, 202)(172, 201)(173, 200)(174, 199)(175, 198)(176, 197)(177, 196)(178, 195)(179, 194)(180, 193)(181, 192)(182, 191)(183, 190)(184, 189)(185, 188)(186, 187)(223, 224)(225, 296)(226, 295)(227, 294)(228, 293)(229, 292)(230, 291)(231, 290)(232, 289)(233, 288)(234, 287)(235, 286)(236, 285)(237, 284)(238, 283)(239, 282)(240, 281)(241, 280)(242, 279)(243, 278)(244, 277)(245, 276)(246, 275)(247, 274)(248, 273)(249, 272)(250, 271)(251, 270)(252, 269)(253, 268)(254, 267)(255, 266)(256, 265)(257, 264)(258, 263)(259, 262)(260, 261)
a2: (185, 259)
b2: (210, 284)
c2: (182, 256)
d2: (208, 282)
e2: (149, 223)
f2: (199, 273)
g2: (153, 227)
h2: (177, 251)
m2: (204, 278)
n3: (197, 271)
a3: (198, 272)
b3: (195, 269)
c3: (201, 275)
d3: (152, 226)
e3: (189, 263)
f3: (211, 285)
g3: (184, 258)
h3: (161, 235)
m3: (209, 283)
n4: (156, 230)
a4: (168, 242)
b4: (202, 276)
c4: (174, 248)
d4: (216, 290)
e4: (1, 2, 4, 3)(5, 96, 148, 39)(6, 92, 118, 119)(7, 95, 94, 117)(8, 61, 147, 40)(9, 137, 116, 38)(10, 138, 91, 35)(11, 60, 146, 75)(12, 56, 114, 131)(13, 59, 88, 130)(14, 25, 145, 76)(15, 125, 112, 74)(16, 126, 85, 71)(17, 24, 144, 106)(18, 20, 110, 143)(19, 23, 82, 142)(21, 107, 108, 105)(22, 109, 79, 103)(26, 81, 141, 54)(27, 77, 104, 124)(28, 80, 73, 123)(29, 46, 140, 55)(30, 132, 102, 53)(31, 133, 70, 50)(32, 45, 139, 90)(33, 41, 100, 136)(34, 44, 67, 135)(36, 120, 98, 89)(37, 121, 64, 86)(42, 97, 93, 115)(43, 99, 58, 113)(47, 66, 134, 69)(48, 62, 87, 129)(49, 65, 52, 128)(51, 127, 84, 68)(57, 111, 78, 101)(63, 83, 72, 122)(150, 180, 222, 192)(151, 211, 221, 161)(152, 168, 220, 204)(153, 199, 219, 173)(154, 156, 218, 216)(155, 187, 217, 185)(157, 175, 215, 197)(158, 206, 214, 166)(159, 163, 213, 209)(160, 194, 212, 178)(162, 182, 210, 190)(164, 170, 208, 202)(165, 201, 207, 171)(167, 189, 205, 183)(169, 177, 203, 195)(172, 196, 200, 176)(174, 184, 198, 188)(179, 191, 193, 181)(224, 254, 296, 266)(225, 285, 295, 235)(226, 242, 294, 278)(227, 273, 293, 247)(228, 230, 292, 290)(229, 261, 291, 259)(231, 249, 289, 271)(232, 280, 288, 240)(233, 237, 287, 283)(234, 268, 286, 252)(236, 256, 284, 264)(238, 244, 282, 276)(239, 275, 281, 245)(241, 263, 279, 257)(243, 251, 277, 269)(246, 270, 274, 250)(248, 258, 272, 262)(253, 265, 267, 255)
f4: (213, 287)
g4: (151, 225)
h4: (171, 245)
m4: (170, 244)
n5: (172, 246)
a5: (214, 288)
b5: (183, 257)
c5: (220, 294)
d5: (159, 233)
e5: (192, 266)
f5: (191, 265)
g5: (194, 268)
h5: (169, 243)
m5: (176, 250)
n6: (203, 277)
a6: (200, 274)
b6: (187, 261)
c6: (173, 247)
d6: (221, 295)
e6: (196, 270)
f6: (178, 252)
g6: (167, 241)
h6: (207, 281)
m6: (165, 239)
n7: (162, 236)
a7: (222, 296)
b7: (163, 237)
c7: (175, 249)
d7: (154, 228)
e7: (157, 231)

(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.

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&Graph
C4[ 296, 12 ]
296
-1 223 224 149 150
-2 254 223 180 149
-3 266 223 192 149
-4 222 223 149 296
-5 224 225 150 151
-6 255 224 181 150
-7 267 224 193 150
-8 225 226 151 152
-9 256 225 182 151
-10 268 225 194 151
-11 226 227 152 153
-12 257 226 183 152
-13 269 226 195 152
-14 154 227 228 153
-15 258 227 184 153
-16 270 227 196 153
-17 154 155 228 229
-18 154 259 228 185
-19 154 271 228 197
-20 155 156 229 230
-21 155 260 229 186
-22 198 155 272 229
-23 231 156 157 230
-24 187 156 261 230
-25 199 156 273 230
-26 231 232 157 158
-27 231 188 157 262
-28 231 200 157 274
-29 232 233 158 159
-30 232 189 158 263
-31 275 232 201 158
-32 233 234 159 160
-33 264 233 190 159
-34 276 233 202 159
-35 234 235 160 161
-36 265 234 191 160
-37 277 234 203 160
-38 235 236 161 162
-39 266 235 192 161
-40 278 235 204 161
-41 236 237 162 163
-42 267 236 193 162
-43 279 236 205 162
-44 237 238 163 164
-45 268 237 194 163
-46 280 237 206 163
-47 165 238 239 164
-48 269 238 195 164
-49 281 238 207 164
-50 165 166 239 240
-51 165 270 239 196
-52 165 282 239 208
-53 166 167 240 241
-54 166 271 240 197
-55 209 166 283 240
-56 242 167 168 241
-57 198 167 272 241
-58 210 167 284 241
-59 242 243 168 169
-60 242 199 168 273
-61 242 211 168 285
-62 243 244 169 170
-63 243 200 169 274
-64 286 243 212 169
-65 244 245 170 171
-66 275 244 201 170
-67 287 244 213 170
-68 245 246 171 172
-69 276 245 202 171
-70 288 245 214 171
-71 246 247 172 173
-72 277 246 203 172
-73 289 246 215 172
-74 247 248 173 174
-75 278 247 204 173
-76 290 247 216 173
-77 248 249 174 175
-78 279 248 205 174
-79 291 248 217 174
-80 176 249 250 175
-81 280 249 206 175
-82 292 249 218 175
-83 176 177 250 251
-84 176 281 250 207
-85 176 293 250 219
-86 177 178 251 252
-87 177 282 251 208
-88 220 177 294 251
-89 253 178 179 252
-90 209 178 283 252
-91 221 178 295 252
-92 253 254 179 180
-93 253 210 179 284
-94 253 222 179 296
-95 254 255 180 181
-96 254 211 180 285
-97 255 256 181 182
-98 286 255 212 181
-99 256 257 182 183
-100 287 256 213 182
-101 257 258 183 184
-102 288 257 214 183
-103 258 259 184 185
-104 289 258 215 184
-105 259 260 185 186
-106 290 259 216 185
-107 187 260 261 186
-108 291 260 217 186
-109 187 188 261 262
-110 187 292 261 218
-111 188 189 262 263
-112 188 293 262 219
-113 264 189 190 263
-114 220 189 294 263
-115 264 265 190 191
-116 264 221 190 295
-117 265 266 191 192
-118 265 222 191 296
-119 266 267 192 193
-120 267 268 193 194
-121 268 269 194 195
-122 269 270 195 196
-123 270 271 196 197
-124 198 271 272 197
-125 198 199 272 273
-126 199 200 273 274
-127 275 200 201 274
-128 275 276 201 202
-129 276 277 202 203
-130 277 278 203 204
-131 278 279 204 205
-132 279 280 205 206
-133 280 281 206 207
-134 281 282 207 208
-135 209 282 283 208
-136 209 210 283 284
-137 210 211 284 285
-138 286 211 212 285
-139 286 287 212 213
-140 287 288 213 214
-141 288 289 214 215
-142 289 290 215 216
-143 290 291 216 217
-144 291 292 217 218
-145 292 293 218 219
-146 220 293 294 219
-147 220 221 294 295
-148 221 222 295 296
-149 1 2 3 4
-150 1 5 6 7
-151 5 8 9 10
-152 11 12 13 8
-153 11 14 15 16
-154 14 17 18 19
-155 22 17 20 21
-156 23 24 25 20
-157 23 26 27 28
-158 26 29 30 31
-159 33 34 29 32
-160 35 36 37 32
-161 35 38 39 40
-162 38 41 42 43
-163 44 45 46 41
-164 44 47 48 49
-165 47 50 51 52
-166 55 50 53 54
-167 56 57 58 53
-168 56 59 60 61
-169 59 62 63 64
-170 66 67 62 65
-171 68 69 70 65
-172 68 71 72 73
-173 71 74 75 76
-174 77 78 79 74
-175 77 80 81 82
-176 80 83 84 85
-177 88 83 86 87
-178 89 90 91 86
-179 89 92 93 94
-180 2 92 95 96
-181 6 95 97 98
-182 99 100 9 97
-183 99 12 101 102
-184 101 15 103 104
-185 103 105 18 106
-186 105 107 108 21
-187 110 24 107 109
-188 111 112 27 109
-189 111 113 114 30
-190 33 113 115 116
-191 36 115 117 118
-192 3 39 117 119
-193 7 42 119 120
-194 121 45 10 120
-195 121 122 13 48
-196 122 123 16 51
-197 123 124 19 54
-198 22 57 124 125
-199 25 125 60 126
-200 126 28 127 63
-201 66 127 128 31
-202 34 69 128 129
-203 37 72 129 130
-204 40 75 130 131
-205 132 78 43 131
-206 132 133 46 81
-207 133 134 49 84
-208 134 135 52 87
-209 55 90 135 136
-210 58 136 93 137
-211 137 61 138 96
-212 138 139 64 98
-213 67 100 139 140
-214 102 70 140 141
-215 104 73 141 142
-216 143 106 76 142
-217 143 144 79 108
-218 110 144 145 82
-219 112 145 146 85
-220 88 146 114 147
-221 91 147 148 116
-222 4 148 94 118
-223 1 2 3 4
-224 1 5 6 7
-225 5 8 9 10
-226 11 12 13 8
-227 11 14 15 16
-228 14 17 18 19
-229 22 17 20 21
-230 23 24 25 20
-231 23 26 27 28
-232 26 29 30 31
-233 33 34 29 32
-234 35 36 37 32
-235 35 38 39 40
-236 38 41 42 43
-237 44 45 46 41
-238 44 47 48 49
-239 47 50 51 52
-240 55 50 53 54
-241 56 57 58 53
-242 56 59 60 61
-243 59 62 63 64
-244 66 67 62 65
-245 68 69 70 65
-246 68 71 72 73
-247 71 74 75 76
-248 77 78 79 74
-249 77 80 81 82
-250 80 83 84 85
-251 88 83 86 87
-252 89 90 91 86
-253 89 92 93 94
-254 2 92 95 96
-255 6 95 97 98
-256 99 100 9 97
-257 99 12 101 102
-258 101 15 103 104
-259 103 105 18 106
-260 105 107 108 21
-261 110 24 107 109
-262 111 112 27 109
-263 111 113 114 30
-264 33 113 115 116
-265 36 115 117 118
-266 3 39 117 119
-267 7 42 119 120
-268 121 45 10 120
-269 121 122 13 48
-270 122 123 16 51
-271 123 124 19 54
-272 22 57 124 125
-273 25 125 60 126
-274 126 28 127 63
-275 66 127 128 31
-276 34 69 128 129
-277 37 72 129 130
-278 40 75 130 131
-279 132 78 43 131
-280 132 133 46 81
-281 133 134 49 84
-282 134 135 52 87
-283 55 90 135 136
-284 58 136 93 137
-285 137 61 138 96
-286 138 139 64 98
-287 67 100 139 140
-288 102 70 140 141
-289 104 73 141 142
-290 143 106 76 142
-291 143 144 79 108
-292 110 144 145 82
-293 112 145 146 85
-294 88 146 114 147
-295 91 147 148 116
-296 4 148 94 118
0

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