C4graphGraph forms for C4 [ 325, 4 ] = {4,4}_15,10

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On this page are computer-accessible forms for the graph C4[ 325, 4 ] = {4,4}_15,10.

(I) Following is a form readable by MAGMA:

g:=Graph<325|{ {2, 3}, {324, 325}, {322, 323}, {320, 321}, {318, 319}, {316, 317}, {314, 315}, {312, 313}, {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}, {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}, {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}, {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}, {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}, {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}, {1, 2}, {321, 322}, {317, 318}, {313, 314}, {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}, {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}, {323, 324}, {315, 316}, {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}, {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}, {103, 104}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {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}, {1, 65}, {261, 325}, {131, 195}, {2, 67}, {260, 325}, {258, 323}, {256, 321}, {62, 127}, {60, 125}, {58, 123}, {56, 121}, {54, 119}, {4, 69}, {6, 71}, {8, 73}, {10, 75}, {12, 77}, {14, 79}, {16, 81}, {18, 83}, {20, 85}, {22, 87}, {24, 89}, {26, 91}, {28, 93}, {30, 95}, {32, 97}, {34, 99}, {36, 101}, {38, 103}, {40, 105}, {42, 107}, {44, 109}, {46, 111}, {48, 113}, {50, 115}, {52, 117}, {128, 193}, {130, 195}, {132, 197}, {134, 199}, {136, 201}, {138, 203}, {140, 205}, {142, 207}, {144, 209}, {146, 211}, {148, 213}, {150, 215}, {152, 217}, {154, 219}, {156, 221}, {158, 223}, {160, 225}, {162, 227}, {164, 229}, {166, 231}, {168, 233}, {170, 235}, {172, 237}, {174, 239}, {176, 241}, {178, 243}, {180, 245}, {182, 247}, {184, 249}, {186, 251}, {188, 253}, {190, 255}, {1, 66}, {257, 322}, {61, 126}, {57, 122}, {5, 70}, {9, 74}, {13, 78}, {17, 82}, {21, 86}, {25, 90}, {29, 94}, {33, 98}, {37, 102}, {41, 106}, {45, 110}, {49, 114}, {53, 118}, {129, 194}, {133, 198}, {137, 202}, {141, 206}, {145, 210}, {149, 214}, {153, 218}, {157, 222}, {161, 226}, {165, 230}, {169, 234}, {173, 238}, {177, 242}, {181, 246}, {185, 250}, {189, 254}, {3, 68}, {259, 324}, {59, 124}, {11, 76}, {19, 84}, {27, 92}, {35, 100}, {43, 108}, {51, 116}, {131, 196}, {139, 204}, {147, 212}, {155, 220}, {163, 228}, {171, 236}, {179, 244}, {187, 252}, {7, 72}, {55, 120}, {23, 88}, {39, 104}, {135, 200}, {151, 216}, {167, 232}, {183, 248}, {15, 80}, {47, 112}, {143, 208}, {175, 240}, {31, 96}, {319, 320}, {63, 64}, {159, 224}, {191, 192}, {63, 128}, {127, 192}, {66, 130}, {64, 129}, {102, 167}, {100, 165}, {98, 163}, {96, 161}, {94, 159}, {92, 157}, {90, 155}, {88, 153}, {86, 151}, {84, 149}, {82, 147}, {80, 145}, {78, 143}, {76, 141}, {74, 139}, {72, 137}, {70, 135}, {68, 133}, {66, 131}, {104, 169}, {106, 171}, {108, 173}, {110, 175}, {112, 177}, {114, 179}, {116, 181}, {118, 183}, {120, 185}, {122, 187}, {124, 189}, {126, 191}, {65, 130}, {101, 166}, {97, 162}, {93, 158}, {89, 154}, {85, 150}, {81, 146}, {77, 142}, {73, 138}, {69, 134}, {105, 170}, {109, 174}, {113, 178}, {117, 182}, {121, 186}, {125, 190}, {67, 132}, {99, 164}, {91, 156}, {83, 148}, {75, 140}, {107, 172}, {115, 180}, {123, 188}, {71, 136}, {87, 152}, {103, 168}, {119, 184}, {79, 144}, {111, 176}, {95, 160}, {127, 128}, {29, 264}, {63, 298}, {61, 296}, {55, 290}, {31, 266}, {53, 288}, {30, 265}, {62, 297}, {54, 289}, {28, 263}, {60, 295}, {56, 291}, {27, 262}, {59, 294}, {57, 292}, {26, 261}, {58, 293}, {32, 267}, {36, 271}, {48, 283}, {52, 287}, {1, 301}, {2, 302}, {3, 303}, {16, 316}, {17, 317}, {18, 318}, {19, 319}, {33, 268}, {35, 270}, {49, 284}, {51, 286}, {34, 269}, {50, 285}, {4, 304}, {5, 305}, {6, 306}, {7, 307}, {12, 312}, {13, 313}, {14, 314}, {15, 315}, {37, 272}, {39, 274}, {45, 280}, {47, 282}, {38, 273}, {46, 281}, {40, 275}, {44, 279}, {8, 308}, {9, 309}, {10, 310}, {11, 311}, {41, 276}, {43, 278}, {42, 277}, {20, 320}, {21, 321}, {22, 322}, {23, 323}, {24, 324}, {25, 325}, {64, 299}, {65, 300}, {191, 256}, {255, 320}, {196, 260}, {192, 257}, {254, 319}, {252, 317}, {250, 315}, {248, 313}, {246, 311}, {244, 309}, {242, 307}, {240, 305}, {238, 303}, {236, 301}, {234, 299}, {232, 297}, {230, 295}, {228, 293}, {226, 291}, {224, 289}, {222, 287}, {220, 285}, {218, 283}, {216, 281}, {214, 279}, {212, 277}, {210, 275}, {208, 273}, {206, 271}, {204, 269}, {202, 267}, {200, 265}, {198, 263}, {196, 261}, {194, 259}, {193, 258}, {253, 318}, {249, 314}, {245, 310}, {241, 306}, {237, 302}, {233, 298}, {229, 294}, {225, 290}, {221, 286}, {217, 282}, {213, 278}, {209, 274}, {205, 270}, {201, 266}, {197, 262}, {195, 260}, {251, 316}, {243, 308}, {235, 300}, {227, 292}, {219, 284}, {211, 276}, {203, 268}, {199, 264}, {247, 312}, {231, 296}, {215, 280}, {207, 272}, {239, 304}, {223, 288}, {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, 301, 65, 66)(3, 236, 64, 131)(4, 171, 63, 196)(5, 106, 62, 261)(6, 41, 61, 26)(7, 276, 60, 91)(8, 211, 59, 156)(9, 146, 58, 221)(10, 81, 57, 286)(11, 16, 56, 51)(12, 316, 55, 116)(13, 251, 54, 181)(14, 186, 53, 246)(15, 121, 52, 311)(17, 291, 50, 76)(18, 226, 49, 141)(19, 161, 48, 206)(20, 96, 47, 271)(21, 31, 46, 36)(22, 266, 45, 101)(23, 201, 44, 166)(24, 136, 43, 231)(25, 71, 42, 296)(27, 306, 40, 126)(28, 241, 39, 191)(29, 176, 38, 256)(30, 111, 37, 321)(32, 281, 35, 86)(33, 216, 34, 151)(67, 302, 300, 130)(68, 237, 299, 195)(69, 172, 298, 260)(70, 107, 297, 325)(72, 277, 295, 90)(73, 212, 294, 155)(74, 147, 293, 220)(75, 82, 292, 285)(77, 317, 290, 115)(78, 252, 289, 180)(79, 187, 288, 245)(80, 122, 287, 310)(83, 227, 284, 140)(84, 162, 283, 205)(85, 97, 282, 270)(87, 267, 280, 100)(88, 202, 279, 165)(89, 137, 278, 230)(92, 307, 275, 125)(93, 242, 274, 190)(94, 177, 273, 255)(95, 112, 272, 320)(98, 217, 269, 150)(99, 152, 268, 215)(102, 322, 265, 110)(103, 257, 264, 175)(104, 192, 263, 240)(105, 127, 262, 305)(108, 232, 324, 135)(109, 167, 323, 200)(113, 207, 319, 160)(114, 142, 318, 225)(117, 312, 315, 120)(118, 247, 314, 185)(119, 182, 313, 250)(123, 222, 309, 145)(124, 157, 308, 210)(128, 197, 304, 170)(129, 132, 303, 235)(133, 238, 234, 194)(134, 173, 233, 259)(138, 213, 229, 154)(139, 148, 228, 219)(143, 253, 224, 179)(144, 188, 223, 244)(149, 163, 218, 204)(153, 203, 214, 164)(158, 243, 209, 189)(159, 178, 208, 254)(168, 258, 199, 174)(169, 193, 198, 239)(183, 248, 249, 184)
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, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325)

(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[ 325, 4 ]
325
-1 66 2 301 65
-2 1 67 3 302
-3 2 68 4 303
-4 3 69 5 304
-5 4 70 6 305
-6 5 71 7 306
-7 6 72 8 307
-8 308 7 73 9
-9 309 8 74 10
-10 11 310 9 75
-11 12 311 10 76
-12 11 77 13 312
-13 12 78 14 313
-14 13 79 15 314
-15 14 80 16 315
-16 15 81 17 316
-17 16 82 18 317
-18 17 83 19 318
-19 319 18 84 20
-20 320 19 85 21
-21 22 321 20 86
-22 23 322 21 87
-23 22 88 24 323
-24 23 89 25 324
-25 24 90 26 325
-26 25 91 27 261
-27 26 92 28 262
-28 27 93 29 263
-29 264 28 94 30
-30 265 29 95 31
-31 266 30 96 32
-32 33 267 31 97
-33 34 268 32 98
-34 33 99 35 269
-35 34 100 36 270
-36 35 101 37 271
-37 36 102 38 272
-38 37 103 39 273
-39 38 104 40 274
-40 275 39 105 41
-41 276 40 106 42
-42 277 41 107 43
-43 44 278 42 108
-44 45 279 43 109
-45 44 110 46 280
-46 45 111 47 281
-47 46 112 48 282
-48 47 113 49 283
-49 48 114 50 284
-50 49 115 51 285
-51 286 50 116 52
-52 287 51 117 53
-53 288 52 118 54
-54 55 289 53 119
-55 56 290 54 120
-56 55 121 57 291
-57 56 122 58 292
-58 57 123 59 293
-59 58 124 60 294
-60 59 125 61 295
-61 60 126 62 296
-62 297 61 127 63
-63 298 62 128 64
-64 299 63 129 65
-65 1 300 64 130
-66 1 67 130 131
-67 66 132 2 68
-68 67 133 3 69
-69 68 134 4 70
-70 69 135 5 71
-71 70 136 6 72
-72 71 137 7 73
-73 72 138 8 74
-74 73 139 9 75
-75 74 140 10 76
-76 11 77 75 141
-77 12 78 76 142
-78 77 143 13 79
-79 78 144 14 80
-80 79 145 15 81
-81 80 146 16 82
-82 81 147 17 83
-83 82 148 18 84
-84 83 149 19 85
-85 84 150 20 86
-86 85 151 21 87
-87 22 88 86 152
-88 23 89 87 153
-89 88 154 24 90
-90 89 155 25 91
-91 90 156 26 92
-92 91 157 27 93
-93 92 158 28 94
-94 93 159 29 95
-95 94 160 30 96
-96 95 161 31 97
-97 96 162 32 98
-98 33 99 97 163
-99 34 100 98 164
-100 99 165 35 101
-101 100 166 36 102
-102 101 167 37 103
-103 102 168 38 104
-104 103 169 39 105
-105 104 170 40 106
-106 105 171 41 107
-107 106 172 42 108
-108 107 173 43 109
-109 44 110 108 174
-110 45 111 109 175
-111 110 176 46 112
-112 111 177 47 113
-113 112 178 48 114
-114 113 179 49 115
-115 114 180 50 116
-116 115 181 51 117
-117 116 182 52 118
-118 117 183 53 119
-119 118 184 54 120
-120 55 121 119 185
-121 56 122 120 186
-122 121 187 57 123
-123 122 188 58 124
-124 123 189 59 125
-125 124 190 60 126
-126 125 191 61 127
-127 126 192 62 128
-128 127 193 63 129
-129 128 194 64 130
-130 66 129 195 65
-131 66 132 195 196
-132 67 133 131 197
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-136 135 201 71 137
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-138 137 203 73 139
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-143 78 144 142 208
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-153 88 154 152 218
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-156 155 221 91 157
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-162 161 227 97 163
-163 162 228 98 164
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-168 167 233 103 169
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-172 171 237 107 173
-173 172 238 108 174
-174 173 239 109 175
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-176 111 177 175 241
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-181 180 246 116 182
-182 181 247 117 183
-183 182 248 118 184
-184 183 249 119 185
-185 184 250 120 186
-186 121 187 185 251
-187 122 188 186 252
-188 187 253 123 189
-189 188 254 124 190
-190 189 255 125 191
-191 190 256 126 192
-192 191 257 127 193
-193 192 258 128 194
-194 193 259 129 195
-195 194 260 130 131
-196 260 261 131 197
-197 132 198 196 262
-198 133 199 197 263
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-215 214 280 150 216
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-217 216 282 152 218
-218 217 283 153 219
-219 154 220 218 284
-220 155 221 219 285
-221 220 286 156 222
-222 221 287 157 223
-223 222 288 158 224
-224 223 289 159 225
-225 224 290 160 226
-226 225 291 161 227
-227 226 292 162 228
-228 227 293 163 229
-229 228 294 164 230
-230 165 231 229 295
-231 166 232 230 296
-232 231 297 167 233
-233 232 298 168 234
-234 233 299 169 235
-235 234 300 170 236
-236 235 301 171 237
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-238 237 303 173 239
-239 238 304 174 240
-240 239 305 175 241
-241 176 242 240 306
-242 177 243 241 307
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-244 243 309 179 245
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-249 248 314 184 250
-250 249 315 185 251
-251 250 316 186 252
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-261 26 325 196 262
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-264 199 265 29 263
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-300 299 235 301 65
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-309 308 244 310 9
-310 309 245 311 10
-311 11 310 246 312
-312 12 311 247 313
-313 13 312 248 314
-314 14 313 249 315
-315 15 314 250 316
-316 16 315 251 317
-317 17 316 252 318
-318 253 319 18 317
-319 254 320 19 318
-320 319 255 321 20
-321 320 256 322 21
-322 22 321 257 323
-323 23 322 258 324
-324 24 323 259 325
-325 25 324 260 261
0

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