C4graphGraph forms for C4 [ 300, 4 ] = {4,4}_[15,10]

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On this page are computer-accessible forms for the graph C4[ 300, 4 ] = {4,4}_[15,10].

(I) Following is a form readable by MAGMA:

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

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

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