C4graphGraph forms for C4 [ 312, 5 ] = C_312(1,79)

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On this page are computer-accessible forms for the graph C4[ 312, 5 ] = C_312(1,79).

(I) Following is a form readable by MAGMA:

g:=Graph<312|{ {2, 3}, {310, 311}, {308, 309}, {306, 307}, {304, 305}, {302, 303}, {300, 301}, {298, 299}, {296, 297}, {294, 295}, {292, 293}, {290, 291}, {288, 289}, {286, 287}, {284, 285}, {282, 283}, {280, 281}, {278, 279}, {276, 277}, {274, 275}, {272, 273}, {270, 271}, {268, 269}, {266, 267}, {264, 265}, {262, 263}, {260, 261}, {258, 259}, {256, 257}, {254, 255}, {252, 253}, {250, 251}, {248, 249}, {246, 247}, {244, 245}, {242, 243}, {240, 241}, {238, 239}, {236, 237}, {234, 235}, {232, 233}, {230, 231}, {228, 229}, {226, 227}, {224, 225}, {222, 223}, {220, 221}, {218, 219}, {216, 217}, {214, 215}, {212, 213}, {210, 211}, {208, 209}, {206, 207}, {204, 205}, {202, 203}, {200, 201}, {198, 199}, {196, 197}, {194, 195}, {192, 193}, {100, 101}, {98, 99}, {96, 97}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {54, 55}, {102, 103}, {104, 105}, {106, 107}, {108, 109}, {110, 111}, {112, 113}, {114, 115}, {116, 117}, {118, 119}, {120, 121}, {122, 123}, {124, 125}, {126, 127}, {128, 129}, {130, 131}, {132, 133}, {134, 135}, {136, 137}, {138, 139}, {140, 141}, {142, 143}, {144, 145}, {146, 147}, {148, 149}, {150, 151}, {152, 153}, {154, 155}, {156, 157}, {158, 159}, {160, 161}, {162, 163}, {164, 165}, {166, 167}, {168, 169}, {170, 171}, {172, 173}, {174, 175}, {176, 177}, {178, 179}, {180, 181}, {182, 183}, {184, 185}, {186, 187}, {188, 189}, {190, 191}, {1, 2}, {309, 310}, {305, 306}, {301, 302}, {297, 298}, {293, 294}, {289, 290}, {285, 286}, {281, 282}, {277, 278}, {273, 274}, {269, 270}, {265, 266}, {261, 262}, {257, 258}, {253, 254}, {249, 250}, {245, 246}, {241, 242}, {237, 238}, {233, 234}, {229, 230}, {225, 226}, {221, 222}, {217, 218}, {213, 214}, {209, 210}, {205, 206}, {201, 202}, {197, 198}, {193, 194}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {153, 154}, {157, 158}, {161, 162}, {165, 166}, {169, 170}, {173, 174}, {177, 178}, {181, 182}, {185, 186}, {189, 190}, {3, 4}, {307, 308}, {299, 300}, {291, 292}, {283, 284}, {275, 276}, {267, 268}, {259, 260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {187, 188}, {7, 8}, {311, 312}, {295, 296}, {279, 280}, {263, 264}, {247, 248}, {231, 232}, {215, 216}, {199, 200}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {183, 184}, {15, 16}, {303, 304}, {271, 272}, {239, 240}, {207, 208}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {175, 176}, {31, 32}, {287, 288}, {223, 224}, {95, 96}, {159, 160}, {16, 95}, {32, 111}, {48, 127}, {128, 207}, {144, 223}, {160, 239}, {176, 255}, {1, 80}, {3, 82}, {5, 84}, {7, 86}, {9, 88}, {11, 90}, {13, 92}, {15, 94}, {33, 112}, {35, 114}, {37, 116}, {39, 118}, {41, 120}, {43, 122}, {45, 124}, {47, 126}, {129, 208}, {131, 210}, {133, 212}, {135, 214}, {137, 216}, {139, 218}, {141, 220}, {143, 222}, {161, 240}, {163, 242}, {165, 244}, {167, 246}, {169, 248}, {171, 250}, {173, 252}, {175, 254}, {2, 81}, {6, 85}, {10, 89}, {14, 93}, {34, 113}, {38, 117}, {42, 121}, {46, 125}, {130, 209}, {134, 213}, {138, 217}, {142, 221}, {162, 241}, {166, 245}, {170, 249}, {174, 253}, {4, 83}, {12, 91}, {36, 115}, {44, 123}, {132, 211}, {140, 219}, {164, 243}, {172, 251}, {8, 87}, {40, 119}, {136, 215}, {168, 247}, {17, 96}, {19, 98}, {21, 100}, {23, 102}, {25, 104}, {27, 106}, {29, 108}, {31, 110}, {145, 224}, {147, 226}, {149, 228}, {151, 230}, {153, 232}, {155, 234}, {157, 236}, {159, 238}, {18, 97}, {22, 101}, {26, 105}, {30, 109}, {146, 225}, {150, 229}, {154, 233}, {158, 237}, {20, 99}, {28, 107}, {148, 227}, {156, 235}, {24, 103}, {63, 64}, {152, 231}, {191, 192}, {49, 128}, {63, 142}, {61, 140}, {59, 138}, {57, 136}, {51, 130}, {53, 132}, {55, 134}, {113, 192}, {115, 194}, {117, 196}, {119, 198}, {121, 200}, {123, 202}, {125, 204}, {127, 206}, {50, 129}, {62, 141}, {58, 137}, {54, 133}, {114, 193}, {118, 197}, {122, 201}, {126, 205}, {52, 131}, {60, 139}, {116, 195}, {124, 203}, {56, 135}, {120, 199}, {64, 143}, {96, 175}, {80, 159}, {112, 191}, {65, 144}, {99, 178}, {97, 176}, {79, 158}, {77, 156}, {75, 154}, {73, 152}, {71, 150}, {69, 148}, {67, 146}, {101, 180}, {103, 182}, {105, 184}, {107, 186}, {109, 188}, {111, 190}, {66, 145}, {98, 177}, {78, 157}, {74, 153}, {70, 149}, {102, 181}, {106, 185}, {110, 189}, {68, 147}, {100, 179}, {76, 155}, {108, 187}, {72, 151}, {104, 183}, {2, 235}, {4, 237}, {6, 239}, {16, 249}, {18, 251}, {20, 253}, {22, 255}, {1, 234}, {5, 238}, {17, 250}, {21, 254}, {3, 236}, {19, 252}, {81, 160}, {95, 174}, {93, 172}, {91, 170}, {89, 168}, {87, 166}, {85, 164}, {83, 162}, {82, 161}, {94, 173}, {90, 169}, {86, 165}, {7, 240}, {92, 171}, {84, 163}, {15, 248}, {8, 241}, {10, 243}, {12, 245}, {14, 247}, {9, 242}, {13, 246}, {11, 244}, {88, 167}, {127, 128}, {23, 256}, {63, 296}, {31, 264}, {55, 288}, {24, 257}, {62, 295}, {60, 293}, {58, 291}, {56, 289}, {26, 259}, {28, 261}, {30, 263}, {25, 258}, {61, 294}, {57, 290}, {29, 262}, {27, 260}, {59, 292}, {32, 265}, {34, 267}, {36, 269}, {38, 271}, {48, 281}, {50, 283}, {52, 285}, {54, 287}, {33, 266}, {37, 270}, {49, 282}, {53, 286}, {35, 268}, {51, 284}, {39, 272}, {47, 280}, {1, 312}, {40, 273}, {42, 275}, {44, 277}, {46, 279}, {41, 274}, {45, 278}, {43, 276}, {64, 297}, {70, 303}, {68, 301}, {66, 299}, {65, 298}, {69, 302}, {67, 300}, {71, 304}, {79, 312}, {72, 305}, {78, 311}, {76, 309}, {74, 307}, {73, 306}, {77, 310}, {75, 308}, {177, 256}, {179, 258}, {181, 260}, {183, 262}, {185, 264}, {187, 266}, {189, 268}, {191, 270}, {178, 257}, {182, 261}, {186, 265}, {190, 269}, {180, 259}, {188, 267}, {184, 263}, {192, 271}, {224, 303}, {208, 287}, {193, 272}, {233, 312}, {231, 310}, {229, 308}, {227, 306}, {225, 304}, {207, 286}, {205, 284}, {203, 282}, {201, 280}, {199, 278}, {197, 276}, {195, 274}, {194, 273}, {230, 309}, {226, 305}, {206, 285}, {202, 281}, {198, 277}, {196, 275}, {228, 307}, {204, 283}, {200, 279}, {232, 311}, {209, 288}, {223, 302}, {221, 300}, {219, 298}, {217, 296}, {215, 294}, {213, 292}, {211, 290}, {210, 289}, {222, 301}, {218, 297}, {214, 293}, {212, 291}, {220, 299}, {216, 295}, {255, 256} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (2, 80)(3, 159)(4, 238)(6, 84)(7, 163)(8, 242)(10, 88)(11, 167)(12, 246)(14, 92)(15, 171)(16, 250)(18, 96)(19, 175)(20, 254)(22, 100)(23, 179)(24, 258)(26, 104)(27, 183)(28, 262)(30, 108)(31, 187)(32, 266)(34, 112)(35, 191)(36, 270)(38, 116)(39, 195)(40, 274)(42, 120)(43, 199)(44, 278)(46, 124)(47, 203)(48, 282)(50, 128)(51, 207)(52, 286)(54, 132)(55, 211)(56, 290)(58, 136)(59, 215)(60, 294)(62, 140)(63, 219)(64, 298)(66, 144)(67, 223)(68, 302)(70, 148)(71, 227)(72, 306)(74, 152)(75, 231)(76, 310)(78, 156)(79, 235)(82, 160)(83, 239)(86, 164)(87, 243)(90, 168)(91, 247)(94, 172)(95, 251)(98, 176)(99, 255)(102, 180)(103, 259)(106, 184)(107, 263)(110, 188)(111, 267)(114, 192)(115, 271)(118, 196)(119, 275)(122, 200)(123, 279)(126, 204)(127, 283)(130, 208)(131, 287)(134, 212)(135, 291)(138, 216)(139, 295)(142, 220)(143, 299)(146, 224)(147, 303)(150, 228)(151, 307)(154, 232)(155, 311)(158, 236)(162, 240)(166, 244)(170, 248)(174, 252)(178, 256)(182, 260)(186, 264)(190, 268)(194, 272)(198, 276)(202, 280)(206, 284)(210, 288)(214, 292)(218, 296)(222, 300)(226, 304)(230, 308)(234, 312)
b: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312)
c: (2, 234)(3, 155)(4, 76)(5, 309)(6, 230)(7, 151)(8, 72)(9, 305)(10, 226)(11, 147)(12, 68)(13, 301)(14, 222)(15, 143)(16, 64)(17, 297)(18, 218)(19, 139)(20, 60)(21, 293)(22, 214)(23, 135)(24, 56)(25, 289)(26, 210)(27, 131)(28, 52)(29, 285)(30, 206)(31, 127)(32, 48)(33, 281)(34, 202)(35, 123)(36, 44)(37, 277)(38, 198)(39, 119)(41, 273)(42, 194)(43, 115)(45, 269)(46, 190)(47, 111)(49, 265)(50, 186)(51, 107)(53, 261)(54, 182)(55, 103)(57, 257)(58, 178)(59, 99)(61, 253)(62, 174)(63, 95)(65, 249)(66, 170)(67, 91)(69, 245)(70, 166)(71, 87)(73, 241)(74, 162)(75, 83)(77, 237)(78, 158)(80, 312)(81, 233)(82, 154)(84, 308)(85, 229)(86, 150)(88, 304)(89, 225)(90, 146)(92, 300)(93, 221)(94, 142)(96, 296)(97, 217)(98, 138)(100, 292)(101, 213)(102, 134)(104, 288)(105, 209)(106, 130)(108, 284)(109, 205)(110, 126)(112, 280)(113, 201)(114, 122)(116, 276)(117, 197)(120, 272)(121, 193)(124, 268)(125, 189)(128, 264)(129, 185)(132, 260)(133, 181)(136, 256)(137, 177)(140, 252)(141, 173)(144, 248)(145, 169)(148, 244)(149, 165)(152, 240)(153, 161)(156, 236)(159, 311)(160, 232)(163, 307)(164, 228)(167, 303)(168, 224)(171, 299)(172, 220)(175, 295)(176, 216)(179, 291)(180, 212)(183, 287)(184, 208)(187, 283)(188, 204)(191, 279)(192, 200)(195, 275)(199, 271)(203, 267)(207, 263)(211, 259)(215, 255)(219, 251)(223, 247)(227, 243)(231, 239)(238, 310)(242, 306)(246, 302)(250, 298)(254, 294)(258, 290)(262, 286)(266, 282)(270, 278)

(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[ 312, 5 ]
312
-1 2 80 234 312
-2 1 3 81 235
-3 2 4 82 236
-4 3 5 83 237
-5 4 6 84 238
-6 5 7 85 239
-7 6 8 86 240
-8 7 9 87 241
-9 88 242 8 10
-10 11 89 243 9
-11 12 90 244 10
-12 11 13 91 245
-13 12 14 92 246
-14 13 15 93 247
-15 14 16 94 248
-16 15 17 95 249
-17 16 18 96 250
-18 17 19 97 251
-19 18 20 98 252
-20 99 253 19 21
-21 22 100 254 20
-22 23 101 255 21
-23 22 24 102 256
-24 23 25 103 257
-25 24 26 104 258
-26 25 27 105 259
-27 26 28 106 260
-28 27 29 107 261
-29 28 30 108 262
-30 29 31 109 263
-31 110 264 30 32
-32 33 111 265 31
-33 34 112 266 32
-34 33 35 113 267
-35 34 36 114 268
-36 35 37 115 269
-37 36 38 116 270
-38 37 39 117 271
-39 38 40 118 272
-40 39 41 119 273
-41 40 42 120 274
-42 121 275 41 43
-43 44 122 276 42
-44 45 123 277 43
-45 44 46 124 278
-46 45 47 125 279
-47 46 48 126 280
-48 47 49 127 281
-49 48 50 128 282
-50 49 51 129 283
-51 50 52 130 284
-52 51 53 131 285
-53 132 286 52 54
-54 55 133 287 53
-55 56 134 288 54
-56 55 57 135 289
-57 56 58 136 290
-58 57 59 137 291
-59 58 60 138 292
-60 59 61 139 293
-61 60 62 140 294
-62 61 63 141 295
-63 62 64 142 296
-64 143 297 63 65
-65 66 144 298 64
-66 67 145 299 65
-67 66 68 146 300
-68 67 69 147 301
-69 68 70 148 302
-70 69 71 149 303
-71 70 72 150 304
-72 71 73 151 305
-73 72 74 152 306
-74 73 75 153 307
-75 154 308 74 76
-76 77 155 309 75
-77 78 156 310 76
-78 77 79 157 311
-79 78 80 158 312
-80 1 79 81 159
-81 2 80 82 160
-82 3 81 83 161
-83 4 82 84 162
-84 5 83 85 163
-85 6 84 86 164
-86 165 7 85 87
-87 88 166 8 86
-88 89 167 9 87
-89 88 90 168 10
-90 11 89 91 169
-91 12 90 92 170
-92 13 91 93 171
-93 14 92 94 172
-94 15 93 95 173
-95 16 94 96 174
-96 17 95 97 175
-97 176 18 96 98
-98 99 177 19 97
-99 100 178 20 98
-100 99 101 179 21
-101 22 100 102 180
-102 23 101 103 181
-103 24 102 104 182
-104 25 103 105 183
-105 26 104 106 184
-106 27 105 107 185
-107 28 106 108 186
-108 187 29 107 109
-109 110 188 30 108
-110 111 189 31 109
-111 110 112 190 32
-112 33 111 113 191
-113 34 112 114 192
-114 35 113 115 193
-115 36 114 116 194
-116 37 115 117 195
-117 38 116 118 196
-118 39 117 119 197
-119 198 40 118 120
-120 121 199 41 119
-121 122 200 42 120
-122 121 123 201 43
-123 44 122 124 202
-124 45 123 125 203
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-126 47 125 127 205
-127 48 126 128 206
-128 49 127 129 207
-129 50 128 130 208
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-132 133 211 53 131
-133 132 134 212 54
-134 55 133 135 213
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-136 57 135 137 215
-137 58 136 138 216
-138 59 137 139 217
-139 60 138 140 218
-140 61 139 141 219
-141 220 62 140 142
-142 143 221 63 141
-143 144 222 64 142
-144 143 145 223 65
-145 66 144 146 224
-146 67 145 147 225
-147 68 146 148 226
-148 69 147 149 227
-149 70 148 150 228
-150 71 149 151 229
-151 72 150 152 230
-152 231 73 151 153
-153 154 232 74 152
-154 155 233 75 153
-155 154 156 234 76
-156 77 155 157 235
-157 78 156 158 236
-158 79 157 159 237
-159 80 158 160 238
-160 81 159 161 239
-161 82 160 162 240
-162 83 161 163 241
-163 242 84 162 164
-164 165 243 85 163
-165 166 244 86 164
-166 165 167 245 87
-167 88 166 168 246
-168 89 167 169 247
-169 90 168 170 248
-170 91 169 171 249
-171 92 170 172 250
-172 93 171 173 251
-173 94 172 174 252
-174 253 95 173 175
-175 176 254 96 174
-176 177 255 97 175
-177 176 178 256 98
-178 99 177 179 257
-179 100 178 180 258
-180 101 179 181 259
-181 102 180 182 260
-182 103 181 183 261
-183 104 182 184 262
-184 105 183 185 263
-185 264 106 184 186
-186 187 265 107 185
-187 188 266 108 186
-188 187 189 267 109
-189 110 188 190 268
-190 111 189 191 269
-191 112 190 192 270
-192 113 191 193 271
-193 114 192 194 272
-194 115 193 195 273
-195 116 194 196 274
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-199 198 200 278 120
-200 121 199 201 279
-201 122 200 202 280
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-203 124 202 204 282
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-210 209 211 289 131
-211 132 210 212 290
-212 133 211 213 291
-213 134 212 214 292
-214 135 213 215 293
-215 136 214 216 294
-216 137 215 217 295
-217 138 216 218 296
-218 297 139 217 219
-219 220 298 140 218
-220 221 299 141 219
-221 220 222 300 142
-222 143 221 223 301
-223 144 222 224 302
-224 145 223 225 303
-225 146 224 226 304
-226 147 225 227 305
-227 148 226 228 306
-228 149 227 229 307
-229 308 150 228 230
-230 231 309 151 229
-231 232 310 152 230
-232 231 233 311 153
-233 154 232 234 312
-234 1 155 233 235
-235 2 156 234 236
-236 3 157 235 237
-237 4 158 236 238
-238 5 159 237 239
-239 6 160 238 240
-240 7 161 239 241
-241 242 8 162 240
-242 243 9 163 241
-243 242 244 10 164
-244 11 165 243 245
-245 12 166 244 246
-246 13 167 245 247
-247 14 168 246 248
-248 15 169 247 249
-249 16 170 248 250
-250 17 171 249 251
-251 18 172 250 252
-252 253 19 173 251
-253 254 20 174 252
-254 253 255 21 175
-255 22 176 254 256
-256 23 177 255 257
-257 24 178 256 258
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-266 33 187 265 267
-267 34 188 266 268
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-291 58 212 290 292
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-294 61 215 293 295
-295 62 216 294 296
-296 297 63 217 295
-297 298 64 218 296
-298 297 299 65 219
-299 66 220 298 300
-300 67 221 299 301
-301 68 222 300 302
-302 69 223 301 303
-303 70 224 302 304
-304 71 225 303 305
-305 72 226 304 306
-306 73 227 305 307
-307 308 74 228 306
-308 309 75 229 307
-309 308 310 76 230
-310 77 231 309 311
-311 78 232 310 312
-312 1 79 233 311
0

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